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	<title>*drawlogic &#187; papervision3d</title>
	<atom:link href="http://drawlogic.com/tag/papervision3d/feed/" rel="self" type="application/rss+xml" />
	<link>http://drawlogic.com</link>
	<description>interactive and game development technologies for the web - flash, flex, unity3d, silverlight, javascript</description>
	<lastBuildDate>Thu, 17 May 2012 13:12:20 +0000</lastBuildDate>
	<language>en</language>
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		<item>
		<title>Mini Javascript Version of Papervision3D-like Engine with Canvas (Pseudo 3d with 2d)</title>
		<link>http://drawlogic.com/2009/02/18/mini-javascript-version-of-papervision3d-with-canvas-pseudo-3d-with-2d/</link>
		<comments>http://drawlogic.com/2009/02/18/mini-javascript-version-of-papervision3d-with-canvas-pseudo-3d-with-2d/#comments</comments>
		<pubDate>Wed, 18 Feb 2009 21:32:59 +0000</pubDate>
		<dc:creator>drawk</dc:creator>
				<category><![CDATA[3d]]></category>
		<category><![CDATA[3D ENGINES]]></category>
		<category><![CDATA[CODE]]></category>
		<category><![CDATA[DEVELOPMENT]]></category>
		<category><![CDATA[ENGINE]]></category>
		<category><![CDATA[GAMEDEV]]></category>
		<category><![CDATA[GAMES]]></category>
		<category><![CDATA[JAVASCRIPT]]></category>
		<category><![CDATA[LIBRARIES]]></category>
		<category><![CDATA[OPEN SOURCE]]></category>
		<category><![CDATA[PAPERVISION]]></category>
		<category><![CDATA[RENDERING]]></category>
		<category><![CDATA[TECHNOLOGY]]></category>
		<category><![CDATA[canvas]]></category>
		<category><![CDATA[FLASH]]></category>
		<category><![CDATA[japan]]></category>
		<category><![CDATA[papervision3d]]></category>
		<category><![CDATA[pseudo]]></category>

		<guid isPermaLink="false">http://drawlogic.com/?p=389</guid>
		<description><![CDATA[Looks like it is a javascript day here at *drawlogic.  Here is an interesting example with some demos of a javascript and canvas based pseudo 3d engine. Anything this cool you know it has to be from Japan. Also of note, it has been rumored that Silverlight 3 will have fully hardware accelerated 3d and [...]]]></description>
			<content:encoded><![CDATA[<p>Looks like it is a javascript day here at *drawlogic.  Here is an interesting example with some<a href="http://gyu.que.jp/jscloth/touch.html" target="_blank"> demos of a javascript and canvas based pseudo 3d engine</a>. Anything this cool you know it has to be from Japan.<br />
Also of note, it has been rumored that Silverlight 3 will have fully hardware accelerated 3d and canvas and javascript engines are getting much faster with great demos like this.  Adobe needs to leap into hardware acceleration for flash on a broader scale soon.</p>
<p>But I digress, this demo it appears, was inspired by Papervision3D due to the naming and the javascript reference of &#8220;<a href="http://gyu.que.jp/jscloth/parpevision.js" target="_blank">parpevision.js</a>&#8220;.  I wasn&#8217;t able to find much more information about this but it is very well done and this example even shows some environment mapping. It is not close to flash pseudo-3d engines like Papervision3D yet but at the rate of javascript engine development lately this could rival flash AVM2 in the next couple of years.</p>
<p><a href="http://gyu.que.jp/jscloth/touch.html" target="_blank"><img class="alignnone" title="papervision in javascript" src="http://i81.photobucket.com/albums/j223/drawkbox/js-environment-mapping.png" alt="" width="479" height="375" /></a></p>
<h3>Demos</h3>
<ul>
<li><a href="http://gyu.que.jp/jscloth/" target="_blank">Cloth</a></li>
<li><a href="http://gyu.que.jp/jscloth/miku.html" target="_blank">Miku Character</a></li>
<li><a href="http://gyu.que.jp/jscloth/touch.html" target="_blank">Enviroment Mapping</a></li>
</ul>
<h3>Code</h3>
<ul>
<li>Sample iPod iTouch Mesh data (<a href="http://gyu.que.jp/jscloth/touchdat/meshdata.js" target="_blank">meshdata.js</a>) &#8211; contains models</li>
<li>Code from the main engine (<a href="http://gyu.que.jp/jscloth/parpevision.js" target="_blank">parpevision.js</a>)</li>
<li>Sample Viewport and main app (<a href="http://gyu.que.jp/jscloth/touch.js" target="_blank">touch.js</a> from demo 3)</li>
</ul>
<p>Here is the code for the parpevision.js file and the mini engine, it is an MIT license.<span id="more-389"></span></p>

<div class="wp_syntax"><div class="code"><pre class="javascript" style="font-family:monospace;"><span style="color: #006600; font-style: italic;">/* MIT-LICENSE */</span>
<span style="color: #006600; font-style: italic;">/*
Copyright (c) 2009 Satoshi Ueyama
&nbsp;
Permission is hereby granted, free of charge, to any person obtaining
a copy of this software and associated documentation files (the
&quot;Software&quot;), 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:
&nbsp;
The above copyright notice and this permission notice shall be
included in all copies or substantial portions of the Software.
&nbsp;
THE SOFTWARE IS PROVIDED &quot;AS IS&quot;, 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.
*/</span>
&nbsp;
window.<span style="color: #660066;">P3D</span> <span style="color: #339933;">=</span> <span style="color: #009900;">&#123;</span>
	texture<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">null</span><span style="color: #339933;">,</span>
	g<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">null</span>
<span style="color: #009900;">&#125;</span><span style="color: #339933;">;</span>
&nbsp;
P3D.<span style="color: #660066;">clear</span> <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>f<span style="color: #339933;">,</span> w<span style="color: #339933;">,</span> h<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
	<span style="color: #003366; font-weight: bold;">var</span> g <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">g</span><span style="color: #339933;">;</span>
	g.<span style="color: #660066;">beginPath</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	g.<span style="color: #660066;">fillStyle</span> <span style="color: #339933;">=</span> f<span style="color: #339933;">;</span>
	g.<span style="color: #660066;">fillRect</span><span style="color: #009900;">&#40;</span><span style="color: #CC0000;">0</span><span style="color: #339933;">,</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">,</span> w<span style="color: #339933;">,</span> h<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
<span style="color: #009900;">&#125;</span>
&nbsp;
P3D.<span style="color: #660066;">num_cmp</span> <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>a<span style="color: #339933;">,</span>b<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#123;</span><span style="color: #000066; font-weight: bold;">return</span> a<span style="color: #339933;">-</span>b<span style="color: #339933;">;</span><span style="color: #009900;">&#125;</span>
&nbsp;
P3D.<span style="color: #660066;">drawTriangle</span> <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>poss<span style="color: #339933;">,</span> uvs<span style="color: #339933;">,</span> shade_clr<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
	<span style="color: #003366; font-weight: bold;">var</span> w <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">texture</span>.<span style="color: #660066;">width</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> h <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">texture</span>.<span style="color: #660066;">height</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> g <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">g</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> vAd <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> vBd <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> vA <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">u</span> <span style="color: #339933;">-</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">u</span> <span style="color: #339933;">,</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">v</span> <span style="color: #339933;">-</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">v</span> <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> vB <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">u</span> <span style="color: #339933;">-</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">u</span> <span style="color: #339933;">,</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">v</span> <span style="color: #339933;">-</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">v</span> <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
	vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*=</span> w<span style="color: #339933;">;</span>
	vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*=</span> h<span style="color: #339933;">;</span>
&nbsp;
	vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*=</span> w<span style="color: #339933;">;</span>
	vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*=</span> h<span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> m <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">new</span> M22<span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	m._11 <span style="color: #339933;">=</span> vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	m._12 <span style="color: #339933;">=</span> vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	m._21 <span style="color: #339933;">=</span> vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	m._22 <span style="color: #339933;">=</span> vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> im <span style="color: #339933;">=</span> m.<span style="color: #660066;">getInvert</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #339933;">!</span>im<span style="color: #009900;">&#41;</span> <span style="color: #000066; font-weight: bold;">return</span> <span style="color: #003366; font-weight: bold;">false</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> a <span style="color: #339933;">=</span> im._11 <span style="color: #339933;">*</span> vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">+</span> im._12 <span style="color: #339933;">*</span> vBd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> b <span style="color: #339933;">=</span> im._21 <span style="color: #339933;">*</span> vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">+</span> im._22 <span style="color: #339933;">*</span> vBd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> c <span style="color: #339933;">=</span> im._11 <span style="color: #339933;">*</span> vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">+</span> im._12 <span style="color: #339933;">*</span> vBd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> d <span style="color: #339933;">=</span> im._21 <span style="color: #339933;">*</span> vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">+</span> im._22 <span style="color: #339933;">*</span> vBd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> wu <span style="color: #339933;">=</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">u</span> <span style="color: #339933;">*</span> w<span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> hv <span style="color: #339933;">=</span> uvs<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">v</span> <span style="color: #339933;">*</span> h<span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> du <span style="color: #339933;">=</span> wu <span style="color: #339933;">*</span> a <span style="color: #339933;">+</span> hv <span style="color: #339933;">*</span> b<span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> dv <span style="color: #339933;">=</span> wu <span style="color: #339933;">*</span> c <span style="color: #339933;">+</span> hv <span style="color: #339933;">*</span> d<span style="color: #339933;">;</span>
&nbsp;
	g.<span style="color: #660066;">save</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
	g.<span style="color: #660066;">beginPath</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	g.<span style="color: #660066;">moveTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	g.<span style="color: #660066;">lineTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	g.<span style="color: #660066;">lineTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	g.<span style="color: #660066;">clip</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
	g.<span style="color: #660066;">transform</span><span style="color: #009900;">&#40;</span>a<span style="color: #339933;">,</span> c<span style="color: #339933;">,</span> b<span style="color: #339933;">,</span> d<span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-</span> du<span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-</span> dv<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #006600; font-style: italic;">// bounds</span>
	<span style="color: #003366; font-weight: bold;">var</span> bx <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span>wu<span style="color: #339933;">,</span> wu<span style="color: #339933;">+</span>vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> wu<span style="color: #339933;">+</span>vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> by <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span>hv<span style="color: #339933;">,</span> hv<span style="color: #339933;">+</span>vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> hv<span style="color: #339933;">+</span>vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
	bx.<span style="color: #660066;">sort</span><span style="color: #009900;">&#40;</span>P3D.<span style="color: #660066;">num_cmp</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	by.<span style="color: #660066;">sort</span><span style="color: #009900;">&#40;</span>P3D.<span style="color: #660066;">num_cmp</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> bw <span style="color: #339933;">=</span> bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">-</span> bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> bh <span style="color: #339933;">=</span> by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">-</span> by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">+</span>bw<span style="color: #009900;">&#41;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;=</span> <span style="color: #009900;">&#40;</span>w<span style="color: #339933;">-</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> bw<span style="color: #339933;">++;</span>
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">+</span>bh<span style="color: #009900;">&#41;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;=</span> <span style="color: #009900;">&#40;</span>h<span style="color: #339933;">-</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> bh<span style="color: #339933;">++;</span>
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>gt<span style="color: #339933;">;=</span> <span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">--;</span> bw<span style="color: #339933;">++;</span><span style="color: #009900;">&#125;</span>
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>gt<span style="color: #339933;">;=</span> <span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">--;</span> bh<span style="color: #339933;">++;</span><span style="color: #009900;">&#125;</span>
&nbsp;
	g.<span style="color: #660066;">drawImage</span><span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">texture</span><span style="color: #339933;">,</span> bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> bw<span style="color: #339933;">,</span> bh<span style="color: #339933;">,</span> bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> bw<span style="color: #339933;">,</span> bh<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>shade_clr<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		g.<span style="color: #660066;">fillStyle</span> <span style="color: #339933;">=</span> shade_clr<span style="color: #339933;">;</span>
		g.<span style="color: #660066;">fillRect</span><span style="color: #009900;">&#40;</span>bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> bw<span style="color: #339933;">,</span> bh<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
&nbsp;
	g.<span style="color: #660066;">restore</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #003366; font-weight: bold;">true</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
P3D.<span style="color: #660066;">drawTestByIndexBuffer</span> <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>pos_buf<span style="color: #339933;">,</span> ix_buf<span style="color: #339933;">,</span> culling<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
	<span style="color: #003366; font-weight: bold;">var</span> g <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">g</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>ix_buf.<span style="color: #660066;">length</span><span style="color: #339933;">%</span>3<span style="color: #009900;">&#41;</span> <span style="color: #339933;">!=</span> <span style="color: #CC0000;">0</span><span style="color: #009900;">&#41;</span>
		<span style="color: #000066; font-weight: bold;">throw</span> <span style="color: #3366CC;">&quot;invalid index buffer length!&quot;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> len <span style="color: #339933;">=</span> ix_buf.<span style="color: #660066;">length</span><span style="color: #339933;">/</span><span style="color: #CC0000;">3</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> i<span style="color: #339933;">,</span> ibase<span style="color: #339933;">,</span> vbase<span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> poss <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span><span style="color: #009900;">&#123;</span><span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span><span style="color: #009900;">&#123;</span><span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span><span style="color: #009900;">&#123;</span><span style="color: #009900;">&#125;</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	g.<span style="color: #660066;">strokeWidth</span> <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">for</span> <span style="color: #009900;">&#40;</span>i <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">,</span> ibase <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>i <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;</span> len<span style="color: #339933;">;++</span>i<span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		vbase <span style="color: #339933;">=</span> ix_buf<span style="color: #009900;">&#91;</span>ibase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">2</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase  <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		vbase <span style="color: #339933;">=</span> ix_buf<span style="color: #009900;">&#91;</span>ibase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">2</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase  <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		vbase <span style="color: #339933;">=</span> ix_buf<span style="color: #009900;">&#91;</span>ibase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">2</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase  <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #006600; font-style: italic;">// z component of cross product &amp;lt; 0 ?</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> Ax <span style="color: #339933;">=</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> Ay <span style="color: #339933;">=</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> Cx <span style="color: #339933;">=</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> Cy <span style="color: #339933;">=</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> cull <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>Ax <span style="color: #339933;">*</span> Cy<span style="color: #009900;">&#41;</span> <span style="color: #339933;">-</span> <span style="color: #009900;">&#40;</span>Ay <span style="color: #339933;">*</span> Cx<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">*</span>culling<span style="color: #009900;">&#41;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">0</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		g.<span style="color: #660066;">beginPath</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">strokeStyle</span> <span style="color: #339933;">=</span> cull <span style="color: #339933;">?</span> <span style="color: #3366CC;">&quot;#592&quot;</span> <span style="color: #339933;">:</span> <span style="color: #3366CC;">&quot;#0f0&quot;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">moveTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">lineTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">lineTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">lineTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">stroke</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
P3D.<span style="color: #660066;">drawByIndexBuffer</span> <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>pos_buf<span style="color: #339933;">,</span> ix_buf<span style="color: #339933;">,</span> tx_buf<span style="color: #339933;">,</span> culling<span style="color: #339933;">,</span> z_clip<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
	<span style="color: #003366; font-weight: bold;">var</span> w<span style="color: #339933;">,</span> h<span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> color_polygon <span style="color: #339933;">=</span> <span style="color: #339933;">!</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">texture</span><span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">texture</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		w <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">texture</span>.<span style="color: #660066;">width</span><span style="color: #339933;">;</span>
		h <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">texture</span>.<span style="color: #660066;">height</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> g <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">g</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> m <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">new</span> M22<span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #339933;">!</span>culling<span style="color: #009900;">&#41;</span> culling <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>ix_buf.<span style="color: #660066;">length</span><span style="color: #339933;">%</span>3<span style="color: #009900;">&#41;</span> <span style="color: #339933;">!=</span> <span style="color: #CC0000;">0</span><span style="color: #009900;">&#41;</span>
		<span style="color: #000066; font-weight: bold;">throw</span> <span style="color: #3366CC;">&quot;invalid index buffer length!&quot;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #003366; font-weight: bold;">var</span> i<span style="color: #339933;">,</span> ibase<span style="color: #339933;">,</span> vbase<span style="color: #339933;">,</span> tbase<span style="color: #339933;">,</span> poss <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span><span style="color: #009900;">&#123;</span><span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span><span style="color: #009900;">&#123;</span><span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span><span style="color: #009900;">&#123;</span><span style="color: #009900;">&#125;</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> len <span style="color: #339933;">=</span> ix_buf.<span style="color: #660066;">length</span><span style="color: #339933;">/</span><span style="color: #CC0000;">3</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> uv_0u<span style="color: #339933;">,</span> uv_0v<span style="color: #339933;">,</span> uv_1u<span style="color: #339933;">,</span> uv_1v<span style="color: #339933;">,</span> uv_2u<span style="color: #339933;">,</span> uv_2v<span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #000066; font-weight: bold;">for</span> <span style="color: #009900;">&#40;</span>i <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">,</span> ibase <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>i <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;</span> len<span style="color: #339933;">;++</span>i<span style="color: #009900;">&#41;</span>
	<span style="color: #009900;">&#123;</span>
		tbase <span style="color: #339933;">=</span> ix_buf<span style="color: #009900;">&#91;</span>ibase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">1</span>
		vbase <span style="color: #339933;">=</span> tbase <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span> uv_0u <span style="color: #339933;">=</span> tx_buf<span style="color: #009900;">&#91;</span>tbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span> uv_0v <span style="color: #339933;">=</span> tx_buf<span style="color: #009900;">&#91;</span>tbase<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>z_clip <span style="color: #339933;">&amp;</span>amp<span style="color: #339933;">;&amp;</span>amp<span style="color: #339933;">;</span> <span style="color: #009900;">&#40;</span>pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">0</span> <span style="color: #339933;">||</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>gt<span style="color: #339933;">;</span> <span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>ibase <span style="color: #339933;">+=</span> <span style="color: #CC0000;">2</span><span style="color: #339933;">;</span> <span style="color: #000066; font-weight: bold;">continue</span><span style="color: #339933;">;</span><span style="color: #009900;">&#125;</span>
&nbsp;
		tbase <span style="color: #339933;">=</span> ix_buf<span style="color: #009900;">&#91;</span>ibase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">1</span>
		vbase <span style="color: #339933;">=</span> tbase <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span> uv_1u <span style="color: #339933;">=</span> tx_buf<span style="color: #009900;">&#91;</span>tbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span> uv_1v <span style="color: #339933;">=</span> tx_buf<span style="color: #009900;">&#91;</span>tbase<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>z_clip <span style="color: #339933;">&amp;</span>amp<span style="color: #339933;">;&amp;</span>amp<span style="color: #339933;">;</span> <span style="color: #009900;">&#40;</span>pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">0</span> <span style="color: #339933;">||</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>gt<span style="color: #339933;">;</span> <span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span><span style="color: #339933;">++</span>ibase<span style="color: #339933;">;</span> <span style="color: #000066; font-weight: bold;">continue</span><span style="color: #339933;">;</span><span style="color: #009900;">&#125;</span>
&nbsp;
		tbase <span style="color: #339933;">=</span> ix_buf<span style="color: #009900;">&#91;</span>ibase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">1</span>
		vbase <span style="color: #339933;">=</span> tbase <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span> uv_2u <span style="color: #339933;">=</span> tx_buf<span style="color: #009900;">&#91;</span>tbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span> uv_2v <span style="color: #339933;">=</span> tx_buf<span style="color: #009900;">&#91;</span>tbase<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>z_clip <span style="color: #339933;">&amp;</span>amp<span style="color: #339933;">;&amp;</span>amp<span style="color: #339933;">;</span> <span style="color: #009900;">&#40;</span>pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">0</span> <span style="color: #339933;">||</span> pos_buf<span style="color: #009900;">&#91;</span>vbase<span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>gt<span style="color: #339933;">;</span> <span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span><span style="color: #000066; font-weight: bold;">continue</span><span style="color: #339933;">;</span><span style="color: #009900;">&#125;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> vAd <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> vBd <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> vCd <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #006600; font-style: italic;">// z component of cross product &amp;lt; 0 ?</span>
		<span style="color: #000066; font-weight: bold;">if</span><span style="color: #009900;">&#40;</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*</span> vCd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #009900;">&#41;</span> <span style="color: #339933;">-</span> <span style="color: #009900;">&#40;</span>vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*</span> vCd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">*</span>culling<span style="color: #009900;">&#41;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">0</span><span style="color: #009900;">&#41;</span>
			<span style="color: #000066; font-weight: bold;">continue</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>color_polygon<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
			g.<span style="color: #660066;">fillStyle</span> <span style="color: #339933;">=</span> uv_0u<span style="color: #339933;">;</span>
&nbsp;
			g.<span style="color: #660066;">beginPath</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
			g.<span style="color: #660066;">moveTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
			g.<span style="color: #660066;">lineTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
			g.<span style="color: #660066;">lineTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
			g.<span style="color: #660066;">fill</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
			<span style="color: #000066; font-weight: bold;">continue</span><span style="color: #339933;">;</span>
		<span style="color: #009900;">&#125;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> vA <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span> uv_1u <span style="color: #339933;">-</span> uv_0u <span style="color: #339933;">,</span> uv_1v <span style="color: #339933;">-</span> uv_0v <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> vB <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span> uv_2u <span style="color: #339933;">-</span> uv_0u <span style="color: #339933;">,</span> uv_2v <span style="color: #339933;">-</span> uv_0v <span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*=</span> w<span style="color: #339933;">;</span>
		vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*=</span> h<span style="color: #339933;">;</span>
&nbsp;
		vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*=</span> w<span style="color: #339933;">;</span>
		vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">*=</span> h<span style="color: #339933;">;</span>
&nbsp;
		m._11 <span style="color: #339933;">=</span> vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		m._12 <span style="color: #339933;">=</span> vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		m._21 <span style="color: #339933;">=</span> vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		m._22 <span style="color: #339933;">=</span> vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> im <span style="color: #339933;">=</span> m.<span style="color: #660066;">getInvert</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #339933;">!</span>im<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span> <span style="color: #000066; font-weight: bold;">continue</span><span style="color: #339933;">;</span><span style="color: #009900;">&#125;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> a <span style="color: #339933;">=</span> im._11 <span style="color: #339933;">*</span> vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">+</span> im._12 <span style="color: #339933;">*</span> vBd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> b <span style="color: #339933;">=</span> im._21 <span style="color: #339933;">*</span> vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">+</span> im._22 <span style="color: #339933;">*</span> vBd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> c <span style="color: #339933;">=</span> im._11 <span style="color: #339933;">*</span> vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">+</span> im._12 <span style="color: #339933;">*</span> vBd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> d <span style="color: #339933;">=</span> im._21 <span style="color: #339933;">*</span> vAd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">+</span> im._22 <span style="color: #339933;">*</span> vBd<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> wu <span style="color: #339933;">=</span> uv_0u <span style="color: #339933;">*</span> w<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> hv <span style="color: #339933;">=</span> uv_0v <span style="color: #339933;">*</span> h<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> du <span style="color: #339933;">=</span> wu <span style="color: #339933;">*</span> a <span style="color: #339933;">+</span> hv <span style="color: #339933;">*</span> b<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> dv <span style="color: #339933;">=</span> wu <span style="color: #339933;">*</span> c <span style="color: #339933;">+</span> hv <span style="color: #339933;">*</span> d<span style="color: #339933;">;</span>
&nbsp;
		g.<span style="color: #660066;">save</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		g.<span style="color: #660066;">beginPath</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">moveTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">lineTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">lineTo</span><span style="color: #009900;">&#40;</span>poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">clip</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		g.<span style="color: #660066;">transform</span><span style="color: #009900;">&#40;</span>a<span style="color: #339933;">,</span> c<span style="color: #339933;">,</span> b<span style="color: #339933;">,</span> d<span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-</span> du<span style="color: #339933;">,</span> poss<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-</span> dv<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #006600; font-style: italic;">// bounds</span>
		<span style="color: #003366; font-weight: bold;">var</span> bx <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span>wu<span style="color: #339933;">,</span> wu<span style="color: #339933;">+</span>vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> wu<span style="color: #339933;">+</span>vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> by <span style="color: #339933;">=</span> <span style="color: #009900;">&#91;</span>hv<span style="color: #339933;">,</span> hv<span style="color: #339933;">+</span>vA<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> hv<span style="color: #339933;">+</span>vB<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		bx.<span style="color: #660066;">sort</span><span style="color: #009900;">&#40;</span>P3D.<span style="color: #660066;">num_cmp</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		by.<span style="color: #660066;">sort</span><span style="color: #009900;">&#40;</span>P3D.<span style="color: #660066;">num_cmp</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> bw <span style="color: #339933;">=</span> bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">-</span> bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> bh <span style="color: #339933;">=</span> by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">-</span> by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">+</span>bw<span style="color: #009900;">&#41;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;=</span> <span style="color: #009900;">&#40;</span>w<span style="color: #339933;">-</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> bw<span style="color: #339933;">++;</span>
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">+</span>bh<span style="color: #009900;">&#41;</span> <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;=</span> <span style="color: #009900;">&#40;</span>h<span style="color: #339933;">-</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> bh<span style="color: #339933;">++;</span>
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>gt<span style="color: #339933;">;=</span> <span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">--;</span> bw<span style="color: #339933;">++;</span><span style="color: #009900;">&#125;</span>
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">&amp;</span>gt<span style="color: #339933;">;=</span> <span style="color: #CC0000;">1</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">--;</span> bh<span style="color: #339933;">++;</span><span style="color: #009900;">&#125;</span>
&nbsp;
		g.<span style="color: #660066;">drawImage</span><span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">texture</span><span style="color: #339933;">,</span> bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> bw<span style="color: #339933;">,</span> bh<span style="color: #339933;">,</span> bx<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> by<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">,</span> bw<span style="color: #339933;">,</span> bh<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
<span style="color: #006600; font-style: italic;">/*
		if (shade_clr) {
			g.fillStyle = shade_clr;
			g.fillRect(bx[0], by[0], bw, bh);
		}
*/</span>
		g.<span style="color: #660066;">restore</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #009900;">&#125;</span>
&nbsp;
<span style="color: #009900;">&#125;</span>
&nbsp;
<span style="color: #003366; font-weight: bold;">function</span> Vec3<span style="color: #009900;">&#40;</span>_x<span style="color: #339933;">,</span> _y<span style="color: #339933;">,</span> _z<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> _x <span style="color: #339933;">||</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> _y <span style="color: #339933;">||</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span> <span style="color: #339933;">=</span> _z <span style="color: #339933;">||</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
Vec3.<span style="color: #660066;">prototype</span> <span style="color: #339933;">=</span> <span style="color: #009900;">&#123;</span>
	zero<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span> <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	sub<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>v<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">-=</span> v.<span style="color: #660066;">x</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">-=</span> v.<span style="color: #660066;">y</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span> <span style="color: #339933;">-=</span> v.<span style="color: #660066;">z</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	add<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>v<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">+=</span> v.<span style="color: #660066;">x</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">+=</span> v.<span style="color: #660066;">y</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span> <span style="color: #339933;">+=</span> v.<span style="color: #660066;">z</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	copyFrom<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>v<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> v.<span style="color: #660066;">x</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> v.<span style="color: #660066;">y</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span> <span style="color: #339933;">=</span> v.<span style="color: #660066;">z</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	norm<span style="color: #339933;">:</span><span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">return</span> Math.<span style="color: #660066;">sqrt</span><span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span><span style="color: #339933;">*</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span><span style="color: #339933;">*</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span><span style="color: #339933;">*</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	normalize<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #003366; font-weight: bold;">var</span> nrm <span style="color: #339933;">=</span> Math.<span style="color: #660066;">sqrt</span><span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span><span style="color: #339933;">*</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span><span style="color: #339933;">*</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span><span style="color: #339933;">*</span><span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>nrm <span style="color: #339933;">!=</span> <span style="color: #CC0000;">0</span><span style="color: #009900;">&#41;</span>
		<span style="color: #009900;">&#123;</span>
			<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">/=</span> nrm<span style="color: #339933;">;</span>
			<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">/=</span> nrm<span style="color: #339933;">;</span>
			<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span> <span style="color: #339933;">/=</span> nrm<span style="color: #339933;">;</span>
		<span style="color: #009900;">&#125;</span>
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	smul<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>k<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">*=</span> k<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">*=</span> k<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span> <span style="color: #339933;">*=</span> k<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	dpWith<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>v<span style="color: #009900;">&#41;</span>	<span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span><span style="color: #339933;">*</span>v.<span style="color: #660066;">x</span> <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span><span style="color: #339933;">*</span>v.<span style="color: #660066;">y</span> <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span><span style="color: #339933;">*</span>v.<span style="color: #660066;">z</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	cp<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>v<span style="color: #339933;">,</span> w<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>w.<span style="color: #660066;">y</span> <span style="color: #339933;">*</span> v.<span style="color: #660066;">z</span><span style="color: #009900;">&#41;</span> <span style="color: #339933;">-</span> <span style="color: #009900;">&#40;</span>w.<span style="color: #660066;">z</span> <span style="color: #339933;">*</span> v.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>w.<span style="color: #660066;">z</span> <span style="color: #339933;">*</span> v.<span style="color: #660066;">x</span><span style="color: #009900;">&#41;</span> <span style="color: #339933;">-</span> <span style="color: #009900;">&#40;</span>w.<span style="color: #660066;">x</span> <span style="color: #339933;">*</span> v.<span style="color: #660066;">z</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span> <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>w.<span style="color: #660066;">x</span> <span style="color: #339933;">*</span> v.<span style="color: #660066;">y</span><span style="color: #009900;">&#41;</span> <span style="color: #339933;">-</span> <span style="color: #009900;">&#40;</span>w.<span style="color: #660066;">y</span> <span style="color: #339933;">*</span> v.<span style="color: #660066;">x</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	toString<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">x</span> <span style="color: #339933;">+</span> <span style="color: #3366CC;">&quot;, &quot;</span> <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">y</span> <span style="color: #339933;">+</span> <span style="color: #3366CC;">&quot;,&quot;</span> <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">z</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
<span style="color: #003366; font-weight: bold;">function</span> M44<span style="color: #009900;">&#40;</span>cpy<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>cpy<span style="color: #009900;">&#41;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">copyFrom</span><span style="color: #009900;">&#40;</span>cpy<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">else</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>.<span style="color: #660066;">ident</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
M44.<span style="color: #660066;">prototype</span> <span style="color: #339933;">=</span> <span style="color: #009900;">&#123;</span>
	ident<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
			  <span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._14 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">=</span>       <span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._24 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._31 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._32 <span style="color: #339933;">=</span>       <span style="color: #000066; font-weight: bold;">this</span>._34 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._41 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._42 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._43 <span style="color: #339933;">=</span>       <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._33 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._44 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	copyFrom<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>m<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">=</span> m._11<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">=</span> m._12<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">=</span> m._13<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._14 <span style="color: #339933;">=</span> m._14<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">=</span> m._21<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">=</span> m._22<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">=</span> m._23<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._24 <span style="color: #339933;">=</span> m._24<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._31 <span style="color: #339933;">=</span> m._31<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._32 <span style="color: #339933;">=</span> m._32<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._33 <span style="color: #339933;">=</span> m._33<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._34 <span style="color: #339933;">=</span> m._34<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._41 <span style="color: #339933;">=</span> m._41<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._42 <span style="color: #339933;">=</span> m._42<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._43 <span style="color: #339933;">=</span> m._43<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._44 <span style="color: #339933;">=</span> m._44<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	transVec3<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>out<span style="color: #339933;">,</span> x<span style="color: #339933;">,</span> y<span style="color: #339933;">,</span> z<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		out<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">+</span> y <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">+</span> z <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._31 <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>._41<span style="color: #339933;">;</span>
		out<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">+</span> y <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">+</span> z <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._32 <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>._42<span style="color: #339933;">;</span>
		out<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">+</span> y <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">+</span> z <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._33 <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>._43<span style="color: #339933;">;</span>
		out<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">3</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._14 <span style="color: #339933;">+</span> y <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._24 <span style="color: #339933;">+</span> z <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._34 <span style="color: #339933;">+</span> <span style="color: #000066; font-weight: bold;">this</span>._44<span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	transVec3Rot<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>out<span style="color: #339933;">,</span> x<span style="color: #339933;">,</span> y<span style="color: #339933;">,</span> z<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		out<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">0</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">+</span> y <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">+</span> z <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._31<span style="color: #339933;">;</span>
		out<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">1</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">+</span> y <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">+</span> z <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._32<span style="color: #339933;">;</span>
		out<span style="color: #009900;">&#91;</span><span style="color: #CC0000;">2</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">+</span> y <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">+</span> z <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._33<span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	perspectiveLH<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>vw<span style="color: #339933;">,</span> vh<span style="color: #339933;">,</span> z_near<span style="color: #339933;">,</span> z_far<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">=</span> <span style="color: #CC0000;">2.0</span><span style="color: #339933;">*</span>z_near<span style="color: #339933;">/</span>vw<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._14 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">=</span> <span style="color: #CC0000;">2</span><span style="color: #339933;">*</span>z_near<span style="color: #339933;">/</span>vh<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._24 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._31 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._32 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._33 <span style="color: #339933;">=</span> z_far<span style="color: #339933;">/</span><span style="color: #009900;">&#40;</span>z_far<span style="color: #339933;">-</span>z_near<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._34 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._41 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._42 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._43 <span style="color: #339933;">=</span> z_near<span style="color: #339933;">*</span>z_far<span style="color: #339933;">/</span><span style="color: #009900;">&#40;</span>z_near<span style="color: #339933;">-</span>z_far<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._44 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	lookAtLH<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>aUp<span style="color: #339933;">,</span> aFrom<span style="color: #339933;">,</span> aAt<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #003366; font-weight: bold;">var</span> aX <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">new</span> Vec3<span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> aY <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">new</span> Vec3<span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> aZ <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">new</span> Vec3<span style="color: #009900;">&#40;</span>aAt.<span style="color: #660066;">x</span><span style="color: #339933;">,</span> aAt.<span style="color: #660066;">y</span><span style="color: #339933;">,</span> aAt.<span style="color: #660066;">z</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		aZ.<span style="color: #660066;">sub</span><span style="color: #009900;">&#40;</span>aFrom<span style="color: #009900;">&#41;</span>.<span style="color: #660066;">normalize</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		aX.<span style="color: #660066;">cp</span><span style="color: #009900;">&#40;</span>aUp<span style="color: #339933;">,</span> aZ<span style="color: #009900;">&#41;</span>.<span style="color: #660066;">normalize</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		aY.<span style="color: #660066;">cp</span><span style="color: #009900;">&#40;</span>aZ<span style="color: #339933;">,</span> aX<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">=</span> aX.<span style="color: #660066;">x</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">=</span> aY.<span style="color: #660066;">x</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">=</span> aZ.<span style="color: #660066;">x</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._14 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">=</span> aX.<span style="color: #660066;">y</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">=</span> aY.<span style="color: #660066;">y</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">=</span> aZ.<span style="color: #660066;">y</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._24 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._31 <span style="color: #339933;">=</span> aX.<span style="color: #660066;">z</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._32 <span style="color: #339933;">=</span> aY.<span style="color: #660066;">z</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._33 <span style="color: #339933;">=</span> aZ.<span style="color: #660066;">z</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._34 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._41 <span style="color: #339933;">=</span> <span style="color: #339933;">-</span>aFrom.<span style="color: #660066;">dpWith</span><span style="color: #009900;">&#40;</span>aX<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._42 <span style="color: #339933;">=</span> <span style="color: #339933;">-</span>aFrom.<span style="color: #660066;">dpWith</span><span style="color: #009900;">&#40;</span>aY<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._43 <span style="color: #339933;">=</span> <span style="color: #339933;">-</span>aFrom.<span style="color: #660066;">dpWith</span><span style="color: #009900;">&#40;</span>aZ<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._44 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
&nbsp;
	    <span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	mul<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>A<span style="color: #339933;">,</span> B<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">=</span> A._11<span style="color: #339933;">*</span>B._11  <span style="color: #339933;">+</span>  A._12<span style="color: #339933;">*</span>B._21  <span style="color: #339933;">+</span>  A._13<span style="color: #339933;">*</span>B._31  <span style="color: #339933;">+</span>  A._14<span style="color: #339933;">*</span>B._41<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">=</span> A._11<span style="color: #339933;">*</span>B._12  <span style="color: #339933;">+</span>  A._12<span style="color: #339933;">*</span>B._22  <span style="color: #339933;">+</span>  A._13<span style="color: #339933;">*</span>B._32  <span style="color: #339933;">+</span>  A._14<span style="color: #339933;">*</span>B._42<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">=</span> A._11<span style="color: #339933;">*</span>B._13  <span style="color: #339933;">+</span>  A._12<span style="color: #339933;">*</span>B._23  <span style="color: #339933;">+</span>  A._13<span style="color: #339933;">*</span>B._33  <span style="color: #339933;">+</span>  A._14<span style="color: #339933;">*</span>B._43<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._14 <span style="color: #339933;">=</span> A._11<span style="color: #339933;">*</span>B._14  <span style="color: #339933;">+</span>  A._12<span style="color: #339933;">*</span>B._24  <span style="color: #339933;">+</span>  A._13<span style="color: #339933;">*</span>B._34  <span style="color: #339933;">+</span>  A._14<span style="color: #339933;">*</span>B._44<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">=</span> A._21<span style="color: #339933;">*</span>B._11  <span style="color: #339933;">+</span>  A._22<span style="color: #339933;">*</span>B._21  <span style="color: #339933;">+</span>  A._23<span style="color: #339933;">*</span>B._31  <span style="color: #339933;">+</span>  A._24<span style="color: #339933;">*</span>B._41<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">=</span> A._21<span style="color: #339933;">*</span>B._12  <span style="color: #339933;">+</span>  A._22<span style="color: #339933;">*</span>B._22  <span style="color: #339933;">+</span>  A._23<span style="color: #339933;">*</span>B._32  <span style="color: #339933;">+</span>  A._24<span style="color: #339933;">*</span>B._42<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">=</span> A._21<span style="color: #339933;">*</span>B._13  <span style="color: #339933;">+</span>  A._22<span style="color: #339933;">*</span>B._23  <span style="color: #339933;">+</span>  A._23<span style="color: #339933;">*</span>B._33  <span style="color: #339933;">+</span>  A._24<span style="color: #339933;">*</span>B._43<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._24 <span style="color: #339933;">=</span> A._21<span style="color: #339933;">*</span>B._14  <span style="color: #339933;">+</span>  A._22<span style="color: #339933;">*</span>B._24  <span style="color: #339933;">+</span>  A._23<span style="color: #339933;">*</span>B._34  <span style="color: #339933;">+</span>  A._24<span style="color: #339933;">*</span>B._44<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._31 <span style="color: #339933;">=</span> A._31<span style="color: #339933;">*</span>B._11  <span style="color: #339933;">+</span>  A._32<span style="color: #339933;">*</span>B._21  <span style="color: #339933;">+</span>  A._33<span style="color: #339933;">*</span>B._31  <span style="color: #339933;">+</span>  A._34<span style="color: #339933;">*</span>B._41<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._32 <span style="color: #339933;">=</span> A._31<span style="color: #339933;">*</span>B._12  <span style="color: #339933;">+</span>  A._32<span style="color: #339933;">*</span>B._22  <span style="color: #339933;">+</span>  A._33<span style="color: #339933;">*</span>B._32  <span style="color: #339933;">+</span>  A._34<span style="color: #339933;">*</span>B._42<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._33 <span style="color: #339933;">=</span> A._31<span style="color: #339933;">*</span>B._13  <span style="color: #339933;">+</span>  A._32<span style="color: #339933;">*</span>B._23  <span style="color: #339933;">+</span>  A._33<span style="color: #339933;">*</span>B._33  <span style="color: #339933;">+</span>  A._34<span style="color: #339933;">*</span>B._43<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._34 <span style="color: #339933;">=</span> A._31<span style="color: #339933;">*</span>B._14  <span style="color: #339933;">+</span>  A._32<span style="color: #339933;">*</span>B._24  <span style="color: #339933;">+</span>  A._33<span style="color: #339933;">*</span>B._34  <span style="color: #339933;">+</span>  A._34<span style="color: #339933;">*</span>B._44<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._41 <span style="color: #339933;">=</span> A._41<span style="color: #339933;">*</span>B._11  <span style="color: #339933;">+</span>  A._42<span style="color: #339933;">*</span>B._21  <span style="color: #339933;">+</span>  A._43<span style="color: #339933;">*</span>B._31  <span style="color: #339933;">+</span>  A._44<span style="color: #339933;">*</span>B._41<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._42 <span style="color: #339933;">=</span> A._41<span style="color: #339933;">*</span>B._12  <span style="color: #339933;">+</span>  A._42<span style="color: #339933;">*</span>B._22  <span style="color: #339933;">+</span>  A._43<span style="color: #339933;">*</span>B._32  <span style="color: #339933;">+</span>  A._44<span style="color: #339933;">*</span>B._42<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._43 <span style="color: #339933;">=</span> A._41<span style="color: #339933;">*</span>B._13  <span style="color: #339933;">+</span>  A._42<span style="color: #339933;">*</span>B._23  <span style="color: #339933;">+</span>  A._43<span style="color: #339933;">*</span>B._33  <span style="color: #339933;">+</span>  A._44<span style="color: #339933;">*</span>B._43<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._44 <span style="color: #339933;">=</span> A._41<span style="color: #339933;">*</span>B._14  <span style="color: #339933;">+</span>  A._42<span style="color: #339933;">*</span>B._24  <span style="color: #339933;">+</span>  A._43<span style="color: #339933;">*</span>B._34  <span style="color: #339933;">+</span>  A._44<span style="color: #339933;">*</span>B._44<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	translate<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>x<span style="color: #339933;">,</span> y<span style="color: #339933;">,</span> z<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._14 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._24 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._31 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._32 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._33 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._34 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._41 <span style="color: #339933;">=</span> x<span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._42 <span style="color: #339933;">=</span> y<span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._43 <span style="color: #339933;">=</span> z<span style="color: #339933;">;</span>  <span style="color: #000066; font-weight: bold;">this</span>._44 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	transpose33<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #003366; font-weight: bold;">var</span> t<span style="color: #339933;">;</span>
&nbsp;
		t <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._12<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._21<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">=</span> t<span style="color: #339933;">;</span>
&nbsp;
		t <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._13<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._31<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._31 <span style="color: #339933;">=</span> t<span style="color: #339933;">;</span>
&nbsp;
		t <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._23<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._32<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._32 <span style="color: #339933;">=</span> t<span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span><span style="color: #339933;">,</span>
&nbsp;
	<span style="color: #006600; font-style: italic;">// OpenGL style rotation</span>
	glRotate<span style="color: #339933;">:</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span>angle<span style="color: #339933;">,</span> x<span style="color: #339933;">,</span> y<span style="color: #339933;">,</span> z<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #003366; font-weight: bold;">var</span> s <span style="color: #339933;">=</span> Math.<span style="color: #660066;">sin</span><span style="color: #009900;">&#40;</span> angle <span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> c <span style="color: #339933;">=</span> Math.<span style="color: #660066;">cos</span><span style="color: #009900;">&#40;</span> angle <span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #003366; font-weight: bold;">var</span> xx <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> x<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> yy <span style="color: #339933;">=</span> y <span style="color: #339933;">*</span> y<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> zz <span style="color: #339933;">=</span> z <span style="color: #339933;">*</span> z<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> xy <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> y<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> yz <span style="color: #339933;">=</span> y <span style="color: #339933;">*</span> z<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> zx <span style="color: #339933;">=</span> z <span style="color: #339933;">*</span> x<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> xs <span style="color: #339933;">=</span> x <span style="color: #339933;">*</span> s<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> ys <span style="color: #339933;">=</span> y <span style="color: #339933;">*</span> s<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> zs <span style="color: #339933;">=</span> z <span style="color: #339933;">*</span> s<span style="color: #339933;">;</span>
		<span style="color: #003366; font-weight: bold;">var</span> one_c <span style="color: #339933;">=</span> <span style="color: #CC0000;">1.0</span> <span style="color: #339933;">-</span> c<span style="color: #339933;">;</span>
<span style="color: #006600; font-style: italic;">/*
		this._11 = (one_c * xx) + c;
		this._21 = (one_c * xy) - zs;
		this._31 = (one_c * zx) + ys;
		this._41 = 0;
&nbsp;
		this._12 = (one_c * xy) + zs;
		this._22 = (one_c * yy) + c;
		this._32 = (one_c * yz) - xs;
		this._42 = 0;
&nbsp;
		this._13 = (one_c * zx) - ys;
		this._23 = (one_c * yz) + xs;
		this._33 = (one_c * zz) + c;
		this._43 = 0;
&nbsp;
		this._14 = 0;
		this._24 = 0;
		this._34 = 0;
		this._44 = 1;
*/</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>one_c <span style="color: #339933;">*</span> xx<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> c<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>one_c <span style="color: #339933;">*</span> xy<span style="color: #009900;">&#41;</span> <span style="color: #339933;">-</span> zs<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._13 <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>one_c <span style="color: #339933;">*</span> zx<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> ys<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._14 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>one_c <span style="color: #339933;">*</span> xy<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> zs<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>one_c <span style="color: #339933;">*</span> yy<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> c<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._23 <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>one_c <span style="color: #339933;">*</span> yz<span style="color: #009900;">&#41;</span> <span style="color: #339933;">-</span> xs<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._24 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._31 <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>one_c <span style="color: #339933;">*</span> zx<span style="color: #009900;">&#41;</span> <span style="color: #339933;">-</span> ys<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._32 <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>one_c <span style="color: #339933;">*</span> yz<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> xs<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._33 <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>one_c <span style="color: #339933;">*</span> zz<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> c<span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._34 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">this</span>._41 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._42 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._43 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
		<span style="color: #000066; font-weight: bold;">this</span>._44 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #000066; font-weight: bold;">this</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
&nbsp;
<span style="color: #009900;">&#125;</span>
&nbsp;
<span style="color: #006600; font-style: italic;">// matrix 2x2</span>
<span style="color: #003366; font-weight: bold;">function</span> M22<span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">=</span> <span style="color: #CC0000;">0</span><span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">=</span> <span style="color: #CC0000;">1</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
M22.<span style="color: #660066;">prototype</span>.<span style="color: #660066;">getInvert</span> <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">function</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #003366; font-weight: bold;">var</span> out <span style="color: #339933;">=</span> <span style="color: #003366; font-weight: bold;">new</span> M22<span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #003366; font-weight: bold;">var</span> det <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">-</span> <span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">*</span> <span style="color: #000066; font-weight: bold;">this</span>._21<span style="color: #339933;">;</span>
	<span style="color: #000066; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>det <span style="color: #339933;">&amp;</span>gt<span style="color: #339933;">;</span> <span style="color: #339933;">-</span><span style="color: #CC0000;">0.0001</span> <span style="color: #339933;">&amp;</span>amp<span style="color: #339933;">;&amp;</span>amp<span style="color: #339933;">;</span> det <span style="color: #339933;">&amp;</span>lt<span style="color: #339933;">;</span> <span style="color: #CC0000;">0.0001</span><span style="color: #009900;">&#41;</span>
		<span style="color: #000066; font-weight: bold;">return</span> <span style="color: #003366; font-weight: bold;">null</span><span style="color: #339933;">;</span>
&nbsp;
	out._11 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._22 <span style="color: #339933;">/</span> det<span style="color: #339933;">;</span>
	out._22 <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">this</span>._11 <span style="color: #339933;">/</span> det<span style="color: #339933;">;</span>
&nbsp;
	out._12 <span style="color: #339933;">=</span> <span style="color: #339933;">-</span><span style="color: #000066; font-weight: bold;">this</span>._12 <span style="color: #339933;">/</span> det<span style="color: #339933;">;</span>
	out._21 <span style="color: #339933;">=</span> <span style="color: #339933;">-</span><span style="color: #000066; font-weight: bold;">this</span>._21 <span style="color: #339933;">/</span> det<span style="color: #339933;">;</span>
&nbsp;
	<span style="color: #000066; font-weight: bold;">return</span> out<span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span></pre></div></div>

]]></content:encoded>
			<wfw:commentRss>http://drawlogic.com/2009/02/18/mini-javascript-version-of-papervision3d-with-canvas-pseudo-3d-with-2d/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
		</item>
		<item>
		<title>AS3 Water Effects in Papervision 3D, Away3D and Sandy3D</title>
		<link>http://drawlogic.com/2008/03/21/papervision-3d-water-effects/</link>
		<comments>http://drawlogic.com/2008/03/21/papervision-3d-water-effects/#comments</comments>
		<pubDate>Fri, 21 Mar 2008 08:47:07 +0000</pubDate>
		<dc:creator>drawk</dc:creator>
				<category><![CDATA[3d]]></category>
		<category><![CDATA[3D ENGINES]]></category>
		<category><![CDATA[ACTIONSCRIPT]]></category>
		<category><![CDATA[ACTIONSCRIPT3]]></category>
		<category><![CDATA[AS3]]></category>
		<category><![CDATA[AWAY3D]]></category>
		<category><![CDATA[EFFECTS]]></category>
		<category><![CDATA[ENGINE]]></category>
		<category><![CDATA[FLASH]]></category>
		<category><![CDATA[FLEX]]></category>
		<category><![CDATA[GAMEDEV]]></category>
		<category><![CDATA[MOTION]]></category>
		<category><![CDATA[OPEN SOURCE]]></category>
		<category><![CDATA[PAPERVISION]]></category>
		<category><![CDATA[PIXEL]]></category>
		<category><![CDATA[PROGRAMMING]]></category>
		<category><![CDATA[RENDERING]]></category>
		<category><![CDATA[TECHNOLOGY]]></category>
		<category><![CDATA[VISUALIZATION]]></category>
		<category><![CDATA[papervision3d]]></category>
		<category><![CDATA[sandy3d]]></category>
		<category><![CDATA[water]]></category>

		<guid isPermaLink="false">http://drawk.wordpress.com/?p=171</guid>
		<description><![CDATA[I was messing with water effects and Perlin Noise (sandy3d) and some other stuff and collected some water effects and simulations that are fluid like for research, a snapshot of the state of fluid and water effects in 3d in flash. Ralph Hauwert, of course one of the original pv3d team members, posted some great [...]]]></description>
			<content:encoded><![CDATA[<p>I was messing with <a href="http://drawlogic.com/2007/07/15/3d-flash-perlin-noise-terrains-with-as3-and-sandy/" target="_blank">water effects and Perlin Noise (sandy3d)</a> and some other stuff and collected some water effects and simulations that are fluid like for research, a snapshot of the state of fluid and water effects in 3d in flash.</p>
<p><a href="http://www.unitzeroone.com/blog/2008/03/19/papervision3d-water-simulation-waterballs/" target="_blank">Ralph Hauwert</a>, of course one of the original pv3d team members, <a href="http://www.unitzeroone.com/blog/2008/03/19/papervision3d-water-simulation-waterballs/" target="_blank">posted some great samples on water effects on 3d objects in Papervision 3D</a>.  Of course the papervision list spawned this discussion from <a href="http://exey.ru/blog/home/fluid-simulation-pv3d-and-away3d" target="_blank">another great post on water simulation in papervision and away3d</a> by <a href="http://exey.ru/blog/home/fluid-simulation-pv3d-and-away3d" title="Exey's blog" target="_blank">Exey Panteleev</a>  .</p>
<p>Also, some other water like effects from Fabrice Closier and the notorious <a href="http://mrdoob.com/#/67/" target="_blank">mrdoob</a>.</p>
<p><b>Ralph&#8217;s Water Effect Demos:</b></p>
<ul>
<li><a href="http://www.unitzeroone.com/papervision/waterBump/bin-release/WaterBall.swf" title="Waterball_1" target="_blank">Water Ball Experiment 1</a></li>
</ul>
<p><a href="http://www.unitzeroone.com/papervision/waterBump/bin-release/WaterBall.swf" target="_blank"><img src="http://i81.photobucket.com/albums/j223/drawkbox/aguaballs.png" height="342" width="358" /></a></p>
<ul>
<li><a href="http://www.unitzeroone.com/papervision/waterBall2/bin-release/WaterBall.swf" title="Waterball_2" target="_blank">Water Ball 2(cpu burner alert!)</a></li>
</ul>
<p><a href="http://www.unitzeroone.com/papervision/waterBall2/bin-release/WaterBall.swf" target="_blank"><img src="http://i81.photobucket.com/albums/j223/drawkbox/aguaballs2.png" height="342" width="358" /></a></p>
<p>Hey look, the water ball is smiling at you.</p>
<p><b>Exey Panteleev&#8217;s Water Simulation:</b></p>
<ul>
<li><a href="http://exey.ru/blog/fluidsimulationPV3D/index.html" target="_blank">PV3D Simulation</a>  [<a href="http://exey.ru/blog/home/fluid-simulation-pv3d-and-away3d" target="_blank">source</a>]</li>
<li><a href="http://exey.ru/blog/fluidsimulationAway3D/index.html" target="_blank">Away3D Simulation</a> [<a href="http://exey.ru/blog/fluidsimulationAway3D/Fluid2.as" target="_blank">source</a>]</li>
</ul>
<p><a href="http://exey.ru/blog/fluidsimulationPV3D/index.html" target="_blank"><img src="http://i81.photobucket.com/albums/j223/drawkbox/water.png" height="197" width="420" /></a></p>
<p><b>Some other Water Like Fluid Effects:</b></p>
<ul>
<li><a href="http://mrdoob.com/#/67/" target="_blank">mrdoob fluid visualisation </a>effect (like wata)</li>
</ul>
<p><a href="http://mrdoob.com/#/67/" target="_blank"><img src="http://i81.photobucket.com/albums/j223/drawkbox/doob-1.png" height="346" width="420" /></a></p>
<ul>
<li><a href="http://away3d.com/away3d-temple-version-194-released" target="_blank">away3d temple fabrice</a></li>
</ul>
<p><a href="http://away3d.com/away3d-temple-version-194-released" target="_blank"><img src="http://i81.photobucket.com/albums/j223/drawkbox/fabrice.png" height="346" width="420" /></a></p>
<p>Water is hard in flash.  Fluid dynamics will probably have to be cheated but it is still looking pretty good.  The amount of processor usage depends on how real you want it to look.</p>
<p>If you are looking to make some agua, with x, the y AND the z in Flash or Flex, these are a good place to start.</p>
<p><a href="http://away3d.com/away3d-temple-version-194-released" target="_blank"></a></p>
]]></content:encoded>
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		<slash:comments>6</slash:comments>
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