lili/opennurbs
1
0
Fork 0
mirror of https://github.com/mcneel/opennurbs.git synced 2026-03-30 23:57:58 +08:00
Code Issues Packages Projects Releases Wiki Activity
Files
2ea16cc86c1bf38a04f2a8015c790e9304c053ce
opennurbs/6/d3/d13/class_o_n___xform.html
Bozo 2ea16cc86c Publish! 
Generated from TESTING
2018-01-26 12:40:11 +00:00

3081 lines
158 KiB
HTML
Raw Blame History

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.14"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>openNURBS SDK Help: ON_Xform Class Reference</title>
<link href="../../tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="../../jquery.js"></script>
<script type="text/javascript" src="../../dynsections.js"></script>
<link href="../../search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="../../search/searchdata.js"></script>
<script type="text/javascript" src="../../search/search.js"></script>
<link href="../../doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td id="projectalign" style="padding-left: 0.5em;">
<div id="projectname">openNURBS SDK Help
</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.14 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
var searchBox = new SearchBox("searchBox", "../../search",false,'Search');
/* @license-end */
</script>
<script type="text/javascript" src="../../menudata.js"></script>
<script type="text/javascript" src="../../menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
$(function() {
initMenu('../../',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
/* @license-end */</script>
<div id="main-nav"></div>
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0"
name="MSearchResults" id="MSearchResults">
</iframe>
</div>
</div><!-- top -->
<div class="header">
<div class="summary">
<a href="#pub-methods">Public Member Functions</a> &#124;
<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
<a href="#pub-attribs">Public Attributes</a> &#124;
<a href="#pub-static-attribs">Static Public Attributes</a> &#124;
<a href="../../d3/d2f/class_o_n___xform-members.html">List of all members</a> </div>
<div class="headertitle">
<div class="title">ON_Xform Class Reference</div> </div>
</div><!--header-->
<div class="contents">
<p><code>#include &lt;<a class="el" href="../../d4/df4/opennurbs__xform_8h_source.html">opennurbs_xform.h</a>&gt;</code></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:afad7fa737d824b6d005d287e854cc13c"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#afad7fa737d824b6d005d287e854cc13c">ON_Xform</a> ()</td></tr>
<tr class="memdesc:afad7fa737d824b6d005d287e854cc13c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Default constructor transformation has diagonal (0,0,0,1) <a href="#afad7fa737d824b6d005d287e854cc13c">More...</a><br /></td></tr>
<tr class="separator:afad7fa737d824b6d005d287e854cc13c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a894d809292a5ccb567b76718cf480584"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a894d809292a5ccb567b76718cf480584">ON_Xform</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;)=default</td></tr>
<tr class="separator:a894d809292a5ccb567b76718cf480584"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a00a884f47463b95cd200186268b31a45"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a00a884f47463b95cd200186268b31a45">ON_Xform</a> (double x)</td></tr>
<tr class="memdesc:a00a884f47463b95cd200186268b31a45"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructs transformation with diagonal (x,x,x,1) <a href="#a00a884f47463b95cd200186268b31a45">More...</a><br /></td></tr>
<tr class="separator:a00a884f47463b95cd200186268b31a45"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a29410c706ad7b23906075e9f1430f15e"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a29410c706ad7b23906075e9f1430f15e">ON_Xform</a> (const double[4][4])</td></tr>
<tr class="memdesc:a29410c706ad7b23906075e9f1430f15e"><td class="mdescLeft">&#160;</td><td class="mdescRight">from standard double m[4][4] <a href="#a29410c706ad7b23906075e9f1430f15e">More...</a><br /></td></tr>
<tr class="separator:a29410c706ad7b23906075e9f1430f15e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4feab784bd8cf1a79d855cf2e0581262"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a4feab784bd8cf1a79d855cf2e0581262">ON_Xform</a> (const float[4][4])</td></tr>
<tr class="memdesc:a4feab784bd8cf1a79d855cf2e0581262"><td class="mdescLeft">&#160;</td><td class="mdescRight">from standard float m[4][4] <a href="#a4feab784bd8cf1a79d855cf2e0581262">More...</a><br /></td></tr>
<tr class="separator:a4feab784bd8cf1a79d855cf2e0581262"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a496bee0701357fe6b6d657267f6ba20d"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a496bee0701357fe6b6d657267f6ba20d">ON_Xform</a> (const double *)</td></tr>
<tr class="memdesc:a496bee0701357fe6b6d657267f6ba20d"><td class="mdescLeft">&#160;</td><td class="mdescRight">from array of 16 doubles (row0,row1,row2,row3) <a href="#a496bee0701357fe6b6d657267f6ba20d">More...</a><br /></td></tr>
<tr class="separator:a496bee0701357fe6b6d657267f6ba20d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa3b7c91054acd2ca27b8ed54f4702f9d"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aa3b7c91054acd2ca27b8ed54f4702f9d">ON_Xform</a> (const float *)</td></tr>
<tr class="memdesc:aa3b7c91054acd2ca27b8ed54f4702f9d"><td class="mdescLeft">&#160;</td><td class="mdescRight">from array of 16 floats (row0,row1,row2,row3) <a href="#aa3b7c91054acd2ca27b8ed54f4702f9d">More...</a><br /></td></tr>
<tr class="separator:aa3b7c91054acd2ca27b8ed54f4702f9d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a33b1f7ef2f7eaeb9b40a357379e3cff4"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a33b1f7ef2f7eaeb9b40a357379e3cff4">ON_Xform</a> (const <a class="el" href="../../d7/d20/class_o_n___matrix.html">ON_Matrix</a> &amp;)</td></tr>
<tr class="separator:a33b1f7ef2f7eaeb9b40a357379e3cff4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9e7bbe9b418d527ea2425eb47157a015"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a9e7bbe9b418d527ea2425eb47157a015">ON_Xform</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;P, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;X, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Y, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Z)</td></tr>
<tr class="separator:a9e7bbe9b418d527ea2425eb47157a015"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa5982c5f1241aa1027ce0550a71b66cb"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aa5982c5f1241aa1027ce0550a71b66cb">~ON_Xform</a> ()=default</td></tr>
<tr class="separator:aa5982c5f1241aa1027ce0550a71b66cb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8cae4a4aa52937ec8ef8b6f8f3532687"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a8cae4a4aa52937ec8ef8b6f8f3532687">ActOnLeft</a> (double, double, double, double, double[4]) const</td></tr>
<tr class="separator:a8cae4a4aa52937ec8ef8b6f8f3532687"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7380cb6e864128f1dd8ef56f8393f64a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a7380cb6e864128f1dd8ef56f8393f64a">ActOnRight</a> (double, double, double, double, double[4]) const</td></tr>
<tr class="separator:a7380cb6e864128f1dd8ef56f8393f64a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aafa81e1f156bafe4601e047084ff95d1"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aafa81e1f156bafe4601e047084ff95d1">CameraToClip</a> (bool bIsPerspective, double, double, double, double, double, double)</td></tr>
<tr class="separator:aafa81e1f156bafe4601e047084ff95d1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a45b0d843d5bc917bc070367b29e581af"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a45b0d843d5bc917bc070367b29e581af">CameraToWorld</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;)</td></tr>
<tr class="separator:a45b0d843d5bc917bc070367b29e581af"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7fbcbb60a036396a372a8b8453febc6a"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a7fbcbb60a036396a372a8b8453febc6a">ChangeBasis</a> (const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;plane0, const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;plane1)</td></tr>
<tr class="separator:a7fbcbb60a036396a372a8b8453febc6a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abe3ae637386c9ea3b785b921346effaf"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#abe3ae637386c9ea3b785b921346effaf">ChangeBasis</a> (const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;X0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Y0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Z0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;X1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Y1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Z1)</td></tr>
<tr class="separator:abe3ae637386c9ea3b785b921346effaf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a824d02d136758ccb5dc1074100d605f5"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a824d02d136758ccb5dc1074100d605f5">ChangeBasis</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;P0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;X0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Y0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Z0, const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;P1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;X1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Y1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Z1)</td></tr>
<tr class="separator:a824d02d136758ccb5dc1074100d605f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aead35eea0c475ff8a825014b0a702355"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aead35eea0c475ff8a825014b0a702355">ClipFlag3d</a> (const double *) const</td></tr>
<tr class="separator:aead35eea0c475ff8a825014b0a702355"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5a5399bdaecc824c7ffe4fd0c45342f0"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a5a5399bdaecc824c7ffe4fd0c45342f0">ClipFlag3d</a> (int, int, const double *, bool bTestZ=true) const</td></tr>
<tr class="separator:a5a5399bdaecc824c7ffe4fd0c45342f0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a175f6b176dd2015b0a24da9c911f5dd0"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a175f6b176dd2015b0a24da9c911f5dd0">ClipFlag3dBox</a> (const double *, const double *) const</td></tr>
<tr class="separator:a175f6b176dd2015b0a24da9c911f5dd0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a99d8ee7598fe94bd81a44efd25a2a273"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a99d8ee7598fe94bd81a44efd25a2a273">ClipFlag4d</a> (const double *) const</td></tr>
<tr class="separator:a99d8ee7598fe94bd81a44efd25a2a273"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aad9ac2867caa3cf62f6ac5e9bd194e9a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aad9ac2867caa3cf62f6ac5e9bd194e9a">ClipFlag4d</a> (int, int, const double *, bool bTestZ=true) const</td></tr>
<tr class="separator:aad9ac2867caa3cf62f6ac5e9bd194e9a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a74f3625a9e466ed6bb9e491e2fdd508b"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a74f3625a9e466ed6bb9e491e2fdd508b">ClipToCamera</a> (bool bIsPerspective, double, double, double, double, double, double)</td></tr>
<tr class="memdesc:a74f3625a9e466ed6bb9e491e2fdd508b"><td class="mdescLeft">&#160;</td><td class="mdescRight">maps -1 &lt;= x,y,z &lt;= 1 box to viewport frustum <a href="#a74f3625a9e466ed6bb9e491e2fdd508b">More...</a><br /></td></tr>
<tr class="separator:a74f3625a9e466ed6bb9e491e2fdd508b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a719833e89842b0755a446ccaa3477234"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a719833e89842b0755a446ccaa3477234">ClipToScreen</a> (double, double, double, double, double, double)</td></tr>
<tr class="separator:a719833e89842b0755a446ccaa3477234"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abff79e5ac5f95a894dbe538359fa3a43"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#abff79e5ac5f95a894dbe538359fa3a43">Compare</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;other) const</td></tr>
<tr class="separator:abff79e5ac5f95a894dbe538359fa3a43"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7462351a9a13008d1ff79d1aee645cc5"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a7462351a9a13008d1ff79d1aee645cc5">Determinant</a> (double *=nullptr) const</td></tr>
<tr class="separator:a7462351a9a13008d1ff79d1aee645cc5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a929c2750cf67b0f7fddb6e32859834ab"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a929c2750cf67b0f7fddb6e32859834ab">Diagonal</a> (double d)</td></tr>
<tr class="separator:a929c2750cf67b0f7fddb6e32859834ab"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a72091a1051e5b4d869fe2bc02ac10086"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a72091a1051e5b4d869fe2bc02ac10086">GetMappingXforms</a> (<a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;P_xform, <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;N_xform) const</td></tr>
<tr class="separator:a72091a1051e5b4d869fe2bc02ac10086"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab7a7206c7076b1ed6d73810274e0d00b"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ab7a7206c7076b1ed6d73810274e0d00b">GetSurfaceNormalXform</a> (<a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;N_xform) const</td></tr>
<tr class="separator:ab7a7206c7076b1ed6d73810274e0d00b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3acabc2f3450992a943040eb0b0a6e0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a3acabc2f3450992a943040eb0b0a6e0f">Identity</a> ()</td></tr>
<tr class="memdesc:a3acabc2f3450992a943040eb0b0a6e0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">standard transformations <a href="#a3acabc2f3450992a943040eb0b0a6e0f">More...</a><br /></td></tr>
<tr class="separator:a3acabc2f3450992a943040eb0b0a6e0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0a74f0e2965c724eeacb7650b4192a4e"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a0a74f0e2965c724eeacb7650b4192a4e">IntervalChange</a> (int dir, <a class="el" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> old_interval, <a class="el" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> new_interval)</td></tr>
<tr class="separator:a0a74f0e2965c724eeacb7650b4192a4e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adb76cd3228028e2117fc11c0c20e5970"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#adb76cd3228028e2117fc11c0c20e5970">Inverse</a> (double *=nullptr) const</td></tr>
<tr class="separator:adb76cd3228028e2117fc11c0c20e5970"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9fb5d7ba1e4e803d801e588786e12806"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a9fb5d7ba1e4e803d801e588786e12806">Invert</a> (double *=nullptr)</td></tr>
<tr class="separator:a9fb5d7ba1e4e803d801e588786e12806"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af20ed46002a65036de0e8c7ea108e317"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#af20ed46002a65036de0e8c7ea108e317">IsAffine</a> () const</td></tr>
<tr class="separator:af20ed46002a65036de0e8c7ea108e317"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9acab57a9960e896e4487a483c979dcf"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a9acab57a9960e896e4487a483c979dcf">IsIdentity</a> (double zero_tolerance=0.0) const</td></tr>
<tr class="separator:a9acab57a9960e896e4487a483c979dcf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae8b66abebffc2cb5fc66e06aaadf4b71"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ae8b66abebffc2cb5fc66e06aaadf4b71">IsNan</a> () const</td></tr>
<tr class="separator:ae8b66abebffc2cb5fc66e06aaadf4b71"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3b123d7f406bdbfb61fd8cd86e4e6ce0"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a3b123d7f406bdbfb61fd8cd86e4e6ce0">IsNotIdentity</a> (double zero_tolerance=0.0) const</td></tr>
<tr class="separator:a3b123d7f406bdbfb61fd8cd86e4e6ce0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aec3ccb731b51ebe56e9cb58ae5536371"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aec3ccb731b51ebe56e9cb58ae5536371">IsSimilarity</a> () const</td></tr>
<tr class="separator:aec3ccb731b51ebe56e9cb58ae5536371"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad6fcc8ea09d9f0fa9d5dc755f8cf2d24"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ad6fcc8ea09d9f0fa9d5dc755f8cf2d24">IsTranslation</a> (double zero_tolerance=0.0) const</td></tr>
<tr class="separator:ad6fcc8ea09d9f0fa9d5dc755f8cf2d24"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af3ba89bd94dbf1352646da57052b67cb"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#af3ba89bd94dbf1352646da57052b67cb">IsValid</a> () const</td></tr>
<tr class="separator:af3ba89bd94dbf1352646da57052b67cb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afd119e20407cf6d31371042264460f13"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#afd119e20407cf6d31371042264460f13">IsValidAndNotZeroAndNotIdentity</a> (double zero_tolerance=0.0) const</td></tr>
<tr class="separator:afd119e20407cf6d31371042264460f13"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad06570bb93287c8d55a3cac561515299"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ad06570bb93287c8d55a3cac561515299">IsZero</a> () const</td></tr>
<tr class="separator:ad06570bb93287c8d55a3cac561515299"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a98dddb0c8f2e23da8880fe97c49d9268"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a98dddb0c8f2e23da8880fe97c49d9268">IsZero4x4</a> () const</td></tr>
<tr class="separator:a98dddb0c8f2e23da8880fe97c49d9268"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3cb7248499a74a0f33acb77ca8196151"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a3cb7248499a74a0f33acb77ca8196151">IsZeroTransformation</a> () const</td></tr>
<tr class="separator:a3cb7248499a74a0f33acb77ca8196151"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac84c376e1e2f91c80324c0a0e98ef207"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ac84c376e1e2f91c80324c0a0e98ef207">Mirror</a> (<a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> point_on_mirror_plane, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> normal_to_mirror_plane)</td></tr>
<tr class="separator:ac84c376e1e2f91c80324c0a0e98ef207"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a254b6e1666396d85873bf665f4382d84"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a254b6e1666396d85873bf665f4382d84">operator!=</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;rhs) const</td></tr>
<tr class="separator:a254b6e1666396d85873bf665f4382d84"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6a175185d16845d217cbd8c728512499"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a6a175185d16845d217cbd8c728512499">operator*</a> (const <a class="el" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a> &amp;) const</td></tr>
<tr class="separator:a6a175185d16845d217cbd8c728512499"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9c7b6e144931b9a50d474bbc41d1b4df"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a9c7b6e144931b9a50d474bbc41d1b4df">operator*</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;) const</td></tr>
<tr class="separator:a9c7b6e144931b9a50d474bbc41d1b4df"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3bf89a792732665598f4e221e6aef19e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a3bf89a792732665598f4e221e6aef19e">operator*</a> (const <a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> &amp;) const</td></tr>
<tr class="separator:a3bf89a792732665598f4e221e6aef19e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a00422a8e8f11389828ba7319c4c33599"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a00422a8e8f11389828ba7319c4c33599">operator*</a> (const <a class="el" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a> &amp;) const</td></tr>
<tr class="separator:a00422a8e8f11389828ba7319c4c33599"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2f365179088df3632e5f704ce19d2beb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a2f365179088df3632e5f704ce19d2beb">operator*</a> (const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;) const</td></tr>
<tr class="separator:a2f365179088df3632e5f704ce19d2beb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac23d647830e31f433e1d45890dcb4d14"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ac23d647830e31f433e1d45890dcb4d14">operator*</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;) const</td></tr>
<tr class="separator:ac23d647830e31f433e1d45890dcb4d14"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a14618115dc0916834dfe6b13e9af513b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a14618115dc0916834dfe6b13e9af513b">operator+</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;) const</td></tr>
<tr class="separator:a14618115dc0916834dfe6b13e9af513b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a288d4fc5b096a8b62e89250bdb2a9ffc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a288d4fc5b096a8b62e89250bdb2a9ffc">operator-</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;) const</td></tr>
<tr class="separator:a288d4fc5b096a8b62e89250bdb2a9ffc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1714af3c9fc2dc13e509f8e9838a2e94"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a1714af3c9fc2dc13e509f8e9838a2e94">operator=</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;)=default</td></tr>
<tr class="separator:a1714af3c9fc2dc13e509f8e9838a2e94"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a13ad1ff2a26f6dcccb7a44765674759f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a13ad1ff2a26f6dcccb7a44765674759f">operator=</a> (const <a class="el" href="../../d7/d20/class_o_n___matrix.html">ON_Matrix</a> &amp;)</td></tr>
<tr class="memdesc:a13ad1ff2a26f6dcccb7a44765674759f"><td class="mdescLeft">&#160;</td><td class="mdescRight">xform = scalar results in a diagonal 3x3 with bottom row = 0,0,0,1 <a href="#a13ad1ff2a26f6dcccb7a44765674759f">More...</a><br /></td></tr>
<tr class="separator:a13ad1ff2a26f6dcccb7a44765674759f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab4a190ec1dfddf1e2474ad57c80f6e3d"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ab4a190ec1dfddf1e2474ad57c80f6e3d">operator==</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;rhs) const</td></tr>
<tr class="separator:ab4a190ec1dfddf1e2474ad57c80f6e3d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad259c9736ce7daf5d200ab4353b23545"><td class="memItemLeft" align="right" valign="top">double *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ad259c9736ce7daf5d200ab4353b23545">operator[]</a> (int)</td></tr>
<tr class="separator:ad259c9736ce7daf5d200ab4353b23545"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a69c10f3299018ccfe5f6054ac48ed0c7"><td class="memItemLeft" align="right" valign="top">const double *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a69c10f3299018ccfe5f6054ac48ed0c7">operator[]</a> (int) const</td></tr>
<tr class="separator:a69c10f3299018ccfe5f6054ac48ed0c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adb4f772479f1c76db9f8c85d602d627b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#adb4f772479f1c76db9f8c85d602d627b">PlanarProjection</a> (const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;plane)</td></tr>
<tr class="separator:adb4f772479f1c76db9f8c85d602d627b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aab233311d464665b83cf1d81c9859aea"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aab233311d464665b83cf1d81c9859aea">Rank</a> (double *=nullptr) const</td></tr>
<tr class="separator:aab233311d464665b83cf1d81c9859aea"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a96d9246621d937407758af6ca16db267"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a96d9246621d937407758af6ca16db267">Rotation</a> (double sin_angle, double cos_angle, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> rotation_axis, <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> rotation_center)</td></tr>
<tr class="separator:a96d9246621d937407758af6ca16db267"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4bacfebfdf34f38053602b4b995a05c8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a4bacfebfdf34f38053602b4b995a05c8">Rotation</a> (double angle_radians, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> rotation_axis, <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> rotation_center)</td></tr>
<tr class="separator:a4bacfebfdf34f38053602b4b995a05c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:add40941b83f805905c8c9319383307f5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#add40941b83f805905c8c9319383307f5">Rotation</a> (<a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> start_dir, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> end_dir, <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> rotation_center)</td></tr>
<tr class="separator:add40941b83f805905c8c9319383307f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a14ca3872105378035d3d2a483d81066c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a14ca3872105378035d3d2a483d81066c">Rotation</a> (const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;X0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Y0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Z0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;X1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Y1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Z1)</td></tr>
<tr class="separator:a14ca3872105378035d3d2a483d81066c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af76b2472e1fac123a2fcc0927dbabcf3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#af76b2472e1fac123a2fcc0927dbabcf3">Rotation</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;P0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;X0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Y0, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Z0, const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;P1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;X1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Y1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;Z1)</td></tr>
<tr class="separator:af76b2472e1fac123a2fcc0927dbabcf3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a00cf904e8c8caecf8a77b81edb04ff8b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a00cf904e8c8caecf8a77b81edb04ff8b">Rotation</a> (const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;plane0, const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;plane1)</td></tr>
<tr class="separator:a00cf904e8c8caecf8a77b81edb04ff8b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a885acec359045e452a3ddd6eea23cde2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a885acec359045e452a3ddd6eea23cde2">Scale</a> (double x_scale_factor, double y_scale_factor, double z_scale_factor)</td></tr>
<tr class="separator:a885acec359045e452a3ddd6eea23cde2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2e2fd9d63877bd3309139e1cd9b79c51"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a2e2fd9d63877bd3309139e1cd9b79c51">Scale</a> (const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;scale_vector)</td></tr>
<tr class="separator:a2e2fd9d63877bd3309139e1cd9b79c51"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1f5b403d4c81217f9aac916af8bb3307"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a1f5b403d4c81217f9aac916af8bb3307">Scale</a> (<a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> fixed_point, double scale_factor)</td></tr>
<tr class="separator:a1f5b403d4c81217f9aac916af8bb3307"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa487dd409c1f8969c5fc471b3ef8f2e9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aa487dd409c1f8969c5fc471b3ef8f2e9">Scale</a> (const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;plane, double x_scale_factor, double y_scale_factor, double z_scale_factor)</td></tr>
<tr class="separator:aa487dd409c1f8969c5fc471b3ef8f2e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab82e8a997f186cc7a7defefef5dd5d1c"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ab82e8a997f186cc7a7defefef5dd5d1c">ScreenToClip</a> (double, double, double, double, double, double)</td></tr>
<tr class="separator:ab82e8a997f186cc7a7defefef5dd5d1c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a21d39fb2a1dd2701b8ba9568fbed0b54"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a21d39fb2a1dd2701b8ba9568fbed0b54">Shear</a> (const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;plane, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;x1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;y1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;z1)</td></tr>
<tr class="separator:a21d39fb2a1dd2701b8ba9568fbed0b54"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3498c05e0640f7fdad5a449ffee5227e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a3498c05e0640f7fdad5a449ffee5227e">Translation</a> (const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;delta)</td></tr>
<tr class="separator:a3498c05e0640f7fdad5a449ffee5227e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a35dee4a0caf2f600ca75e146ff85a9b2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a35dee4a0caf2f600ca75e146ff85a9b2">Translation</a> (double dx, double dy, double dz)</td></tr>
<tr class="separator:a35dee4a0caf2f600ca75e146ff85a9b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa7ef93e4f93619a4bf693f940f03767e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aa7ef93e4f93619a4bf693f940f03767e">Transpose</a> ()</td></tr>
<tr class="memdesc:aa7ef93e4f93619a4bf693f940f03767e"><td class="mdescLeft">&#160;</td><td class="mdescRight">matrix operations <a href="#aa7ef93e4f93619a4bf693f940f03767e">More...</a><br /></td></tr>
<tr class="separator:aa7ef93e4f93619a4bf693f940f03767e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab7bddfb8e55a0ee93716de3ce3f2e5c1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ab7bddfb8e55a0ee93716de3ce3f2e5c1">WorldToCamera</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;)</td></tr>
<tr class="memdesc:ab7bddfb8e55a0ee93716de3ce3f2e5c1"><td class="mdescLeft">&#160;</td><td class="mdescRight">standard viewing transformations <a href="#ab7bddfb8e55a0ee93716de3ce3f2e5c1">More...</a><br /></td></tr>
<tr class="separator:ab7bddfb8e55a0ee93716de3ce3f2e5c1"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
Static Public Member Functions</h2></td></tr>
<tr class="memitem:aba2b914f1efbfcf98b4222e6b1c920f6"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aba2b914f1efbfcf98b4222e6b1c920f6">DiagonalTransformation</a> (double d)</td></tr>
<tr class="separator:aba2b914f1efbfcf98b4222e6b1c920f6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2e59387d2447a1783a3baca60d08d9fd"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a2e59387d2447a1783a3baca60d08d9fd">DiagonalTransformation</a> (double d0, double d1, double d2)</td></tr>
<tr class="separator:a2e59387d2447a1783a3baca60d08d9fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7293f9404e837d7ee62d45cc14a2413f"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a7293f9404e837d7ee62d45cc14a2413f">DiagonalTransformation</a> (const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;diagnoal)</td></tr>
<tr class="separator:a7293f9404e837d7ee62d45cc14a2413f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad879fa21cd3bfc842087c1786e960b15"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ad879fa21cd3bfc842087c1786e960b15">ScaleTransformation</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;fixed_point, double scale_factor)</td></tr>
<tr class="separator:ad879fa21cd3bfc842087c1786e960b15"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a35746d8276047d51a68a4738aa6b4360"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a35746d8276047d51a68a4738aa6b4360">ScaleTransformation</a> (const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;fixed_point, double x_scale_factor, double y_scale_factor, double z_scale_factor)</td></tr>
<tr class="separator:a35746d8276047d51a68a4738aa6b4360"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a94a38ec9532d3f23465b54246ceb7045"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a94a38ec9532d3f23465b54246ceb7045">ScaleTransformation</a> (const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;plane, double x_scale_factor, double y_scale_factor, double z_scale_factor)</td></tr>
<tr class="separator:a94a38ec9532d3f23465b54246ceb7045"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad9e5dbc570b63bd40ec35673cf5d0a2d"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ad9e5dbc570b63bd40ec35673cf5d0a2d">ShearTransformation</a> (const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;plane, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;x1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;y1, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;z1)</td></tr>
<tr class="separator:ad9e5dbc570b63bd40ec35673cf5d0a2d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a98e6b91074e5847356fb4e8ded268266"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a98e6b91074e5847356fb4e8ded268266">TranslationTransformation</a> (const <a class="el" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a> &amp;delta)</td></tr>
<tr class="memdesc:a98e6b91074e5847356fb4e8ded268266"><td class="mdescLeft">&#160;</td><td class="mdescRight">Right column is (delta.x, delta.y, 0, 1). <a href="#a98e6b91074e5847356fb4e8ded268266">More...</a><br /></td></tr>
<tr class="separator:a98e6b91074e5847356fb4e8ded268266"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aac8ed51cbaedf9fb94ff3701c0938a9a"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#aac8ed51cbaedf9fb94ff3701c0938a9a">TranslationTransformation</a> (const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;delta)</td></tr>
<tr class="memdesc:aac8ed51cbaedf9fb94ff3701c0938a9a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Right column is (delta.x, delta.y, delta.z, 1). <a href="#aac8ed51cbaedf9fb94ff3701c0938a9a">More...</a><br /></td></tr>
<tr class="separator:aac8ed51cbaedf9fb94ff3701c0938a9a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac14296972569561ae19206565fd84837"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ac14296972569561ae19206565fd84837">TranslationTransformation</a> (double dx, double dy, double dz)</td></tr>
<tr class="memdesc:ac14296972569561ae19206565fd84837"><td class="mdescLeft">&#160;</td><td class="mdescRight">Right column is (dx, dy, dz, 1). <a href="#ac14296972569561ae19206565fd84837">More...</a><br /></td></tr>
<tr class="separator:ac14296972569561ae19206565fd84837"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
Public Attributes</h2></td></tr>
<tr class="memitem:ae52aaae574f3a534ac7bfa5d47cbc610"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#ae52aaae574f3a534ac7bfa5d47cbc610">m_xform</a> [4][4]</td></tr>
<tr class="separator:ae52aaae574f3a534ac7bfa5d47cbc610"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-attribs"></a>
Static Public Attributes</h2></td></tr>
<tr class="memitem:a4b990ccd63d5ffb4606d93a76361aba0"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a4b990ccd63d5ffb4606d93a76361aba0">IdentityTransformation</a></td></tr>
<tr class="memdesc:a4b990ccd63d5ffb4606d93a76361aba0"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> IdentityTransformation diagonal = (1,1,1,1) <a href="#a4b990ccd63d5ffb4606d93a76361aba0">More...</a><br /></td></tr>
<tr class="separator:a4b990ccd63d5ffb4606d93a76361aba0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a75bf00a40fd0675f4e9e16e499f4cd3a"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a75bf00a40fd0675f4e9e16e499f4cd3a">Nan</a></td></tr>
<tr class="memdesc:a75bf00a40fd0675f4e9e16e499f4cd3a"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="../../d3/d13/class_o_n___xform.html#a75bf00a40fd0675f4e9e16e499f4cd3a" title="ON_Xform::Nan - every coefficient is ON_DBL_QNAN. ">ON_Xform::Nan</a> - every coefficient is ON_DBL_QNAN. <a href="#a75bf00a40fd0675f4e9e16e499f4cd3a">More...</a><br /></td></tr>
<tr class="separator:a75bf00a40fd0675f4e9e16e499f4cd3a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a76cecc9c0184d6febe9f38652dc7c9d4"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a76cecc9c0184d6febe9f38652dc7c9d4">Unset</a></td></tr>
<tr class="memdesc:a76cecc9c0184d6febe9f38652dc7c9d4"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="../../d3/d13/class_o_n___xform.html#a76cecc9c0184d6febe9f38652dc7c9d4" title="ON_Xform::Unset - every coefficient is ON_UNSET_VALUE. ">ON_Xform::Unset</a> - every coefficient is ON_UNSET_VALUE. <a href="#a76cecc9c0184d6febe9f38652dc7c9d4">More...</a><br /></td></tr>
<tr class="separator:a76cecc9c0184d6febe9f38652dc7c9d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1d3bdd807f1352d7f7dff6d0ab364bdb"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a1d3bdd807f1352d7f7dff6d0ab364bdb">Zero4x4</a></td></tr>
<tr class="memdesc:a1d3bdd807f1352d7f7dff6d0ab364bdb"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="../../d3/d13/class_o_n___xform.html#a1d3bdd807f1352d7f7dff6d0ab364bdb" title="ON_Xform::Zero4x4 - every coefficient is 0.0. ">ON_Xform::Zero4x4</a> - every coefficient is 0.0. <a href="#a1d3bdd807f1352d7f7dff6d0ab364bdb">More...</a><br /></td></tr>
<tr class="separator:a1d3bdd807f1352d7f7dff6d0ab364bdb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a26441e6a7d8989849fa3ea86a68a03de"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d13/class_o_n___xform.html#a26441e6a7d8989849fa3ea86a68a03de">ZeroTransformation</a></td></tr>
<tr class="memdesc:a26441e6a7d8989849fa3ea86a68a03de"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ZeroTransformation diagonal = (0,0,0,1) <a href="#a26441e6a7d8989849fa3ea86a68a03de">More...</a><br /></td></tr>
<tr class="separator:a26441e6a7d8989849fa3ea86a68a03de"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="afad7fa737d824b6d005d287e854cc13c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afad7fa737d824b6d005d287e854cc13c">&#9670;&nbsp;</a></span>ON_Xform() <span class="overload">[1/9]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">ON_Xform::ON_Xform </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Default constructor transformation has diagonal (0,0,0,1) </p>
</div>
</div>
<a id="aa5982c5f1241aa1027ce0550a71b66cb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa5982c5f1241aa1027ce0550a71b66cb">&#9670;&nbsp;</a></span>~ON_Xform()</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">ON_Xform::~ON_Xform </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">default</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a894d809292a5ccb567b76718cf480584"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a894d809292a5ccb567b76718cf480584">&#9670;&nbsp;</a></span>ON_Xform() <span class="overload">[2/9]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">ON_Xform::ON_Xform </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">default</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a00a884f47463b95cd200186268b31a45"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a00a884f47463b95cd200186268b31a45">&#9670;&nbsp;</a></span>ON_Xform() <span class="overload">[3/9]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">ON_Xform::ON_Xform </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">explicit</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Constructs transformation with diagonal (x,x,x,1) </p>
</div>
</div>
<a id="a29410c706ad7b23906075e9f1430f15e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a29410c706ad7b23906075e9f1430f15e">&#9670;&nbsp;</a></span>ON_Xform() <span class="overload">[4/9]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">ON_Xform::ON_Xform </td>
<td>(</td>
<td class="paramtype">const double&#160;</td>
<td class="paramname">[4][4]</td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">explicit</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>from standard double m[4][4] </p>
</div>
</div>
<a id="a4feab784bd8cf1a79d855cf2e0581262"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4feab784bd8cf1a79d855cf2e0581262">&#9670;&nbsp;</a></span>ON_Xform() <span class="overload">[5/9]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">ON_Xform::ON_Xform </td>
<td>(</td>
<td class="paramtype">const float&#160;</td>
<td class="paramname">[4][4]</td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">explicit</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>from standard float m[4][4] </p>
</div>
</div>
<a id="a496bee0701357fe6b6d657267f6ba20d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a496bee0701357fe6b6d657267f6ba20d">&#9670;&nbsp;</a></span>ON_Xform() <span class="overload">[6/9]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">ON_Xform::ON_Xform </td>
<td>(</td>
<td class="paramtype">const double *&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">explicit</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>from array of 16 doubles (row0,row1,row2,row3) </p>
</div>
</div>
<a id="aa3b7c91054acd2ca27b8ed54f4702f9d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa3b7c91054acd2ca27b8ed54f4702f9d">&#9670;&nbsp;</a></span>ON_Xform() <span class="overload">[7/9]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">ON_Xform::ON_Xform </td>
<td>(</td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">explicit</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>from array of 16 floats (row0,row1,row2,row3) </p>
</div>
</div>
<a id="a33b1f7ef2f7eaeb9b40a357379e3cff4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a33b1f7ef2f7eaeb9b40a357379e3cff4">&#9670;&nbsp;</a></span>ON_Xform() <span class="overload">[8/9]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">ON_Xform::ON_Xform </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d7/d20/class_o_n___matrix.html">ON_Matrix</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">explicit</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>from upper left 4x4 of an </p>
</div>
</div>
<a id="a9e7bbe9b418d527ea2425eb47157a015"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9e7bbe9b418d527ea2425eb47157a015">&#9670;&nbsp;</a></span>ON_Xform() <span class="overload">[9/9]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">ON_Xform::ON_Xform </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>P</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Z</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>arbitrary matrix. Any missing rows/columns are set to identity. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">P</td><td>as a frame. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<h2 class="groupheader">Member Function Documentation</h2>
<a id="a8cae4a4aa52937ec8ef8b6f8f3532687"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8cae4a4aa52937ec8ef8b6f8f3532687">&#9670;&nbsp;</a></span>ActOnLeft()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::ActOnLeft </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">[4]&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Computes matrix * transpose([x,y,z,w]).</p>
<p>Parameters: x - [in] y - [in] z - [in] z - [in] ans - [out] = matrix * transpose([x,y,z,w]) </p>
</div>
</div>
<a id="a7380cb6e864128f1dd8ef56f8393f64a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7380cb6e864128f1dd8ef56f8393f64a">&#9670;&nbsp;</a></span>ActOnRight()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::ActOnRight </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">[4]&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Computes [x,y,z,w] * matrix.</p>
<p>Parameters: x - [in] y - [in] z - [in] z - [in] ans - [out] = [x,y,z,w] * matrix </p>
</div>
</div>
<a id="aafa81e1f156bafe4601e047084ff95d1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aafa81e1f156bafe4601e047084ff95d1">&#9670;&nbsp;</a></span>CameraToClip()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::CameraToClip </td>
<td>(</td>
<td class="paramtype">bool&#160;</td>
<td class="paramname"><em>bIsPerspective</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">bIsPerspective</td><td>maps viewport frustum to -1 &lt;= x,y,z &lt;= 1 box true for perspective, false for orthographic </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a45b0d843d5bc917bc070367b29e581af"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a45b0d843d5bc917bc070367b29e581af">&#9670;&nbsp;</a></span>CameraToWorld()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::CameraToWorld </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname">&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a7fbcbb60a036396a372a8b8453febc6a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7fbcbb60a036396a372a8b8453febc6a">&#9670;&nbsp;</a></span>ChangeBasis() <span class="overload">[1/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::ChangeBasis </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;&#160;</td>
<td class="paramname"><em>plane0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;&#160;</td>
<td class="paramname"><em>plane1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: The <a class="el" href="../../d3/d13/class_o_n___xform.html#a7fbcbb60a036396a372a8b8453febc6a">ChangeBasis()</a> function is overloaded and provides several ways to compute a change of basis transformation.</p>
<p>Parameters: plane0 - inital plane plane1 - final plane</p>
<p>Returns: table true success false vectors for initial frame are not a basis</p>
<p>Remarks: If you have points defined with respect to planes, the version of <a class="el" href="../../d3/d13/class_o_n___xform.html#a7fbcbb60a036396a372a8b8453febc6a">ChangeBasis()</a> that takes two planes computes the transformation to change coordinates from one plane to another. The predefined world plane ON_world_plane can be used as an argument.</p>
<p>If P = plane0.Evaluate( a0,b0,c0 ) and</p>
<p>(a1,b1,c1) = ChangeBasis(plane0,plane1)*ON_3dPoint(a0,b0,c0),</p>
<p>then P = plane1.Evaluate( a1, b1, c1 )</p>
<p>The version of <a class="el" href="../../d3/d13/class_o_n___xform.html#a7fbcbb60a036396a372a8b8453febc6a">ChangeBasis()</a> that takes six vectors maps (a0,b0,c0) to (a1,b1,c1) where a0*X0 + b0*Y0 + c0*Z0 = a1*X1 + b1*Y1 + c1*Z1</p>
<p>The version of <a class="el" href="../../d3/d13/class_o_n___xform.html#a7fbcbb60a036396a372a8b8453febc6a">ChangeBasis()</a> that takes six vectors with center points maps (a0,b0,c0) to (a1,b1,c1) where P0 + a0*X0 + b0*Y0 + c0*Z0 = P1 + a1*X1 + b1*Y1 + c1*Z1</p>
<p>The change of basis transformation is not the same as the rotation transformation that rotates one orthonormal frame to another. See <a class="el" href="../../d3/d13/class_o_n___xform.html#a96d9246621d937407758af6ca16db267">ON_Xform::Rotation()</a>. </p>
</div>
</div>
<a id="abe3ae637386c9ea3b785b921346effaf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abe3ae637386c9ea3b785b921346effaf">&#9670;&nbsp;</a></span>ChangeBasis() <span class="overload">[2/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::ChangeBasis </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>X0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Y0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Z0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>X1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Y1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Z1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Get a change of basis transformation. Parameters: X0 - initial basis X (X0,Y0,Z0 can be any 3d basis) Y0 - initial basis Y Z0 - initial basis Z X1 - final basis X (X1,Y1,Z1 can be any 3d basis) Y1 - final basis Y Z1 - final basis Z Remarks: Change of basis transformations and rotation transformations are often confused. This is a change of basis transformation. If Q = a0*X0 + b0*Y0 + c0*Z0 = a1*X1 + b1*Y1 + c1*Z1 then this transform will map the point (a0,b0,c0) to (a1,b1,c1) </p>
</div>
</div>
<a id="a824d02d136758ccb5dc1074100d605f5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a824d02d136758ccb5dc1074100d605f5">&#9670;&nbsp;</a></span>ChangeBasis() <span class="overload">[3/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::ChangeBasis </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>P0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>X0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Y0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Z0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>P1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>X1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Y1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Z1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Parameters: P0 - initial center X0 - initial basis X (X0,Y0,Z0 can be any 3d basis) Y0 - initial basis Y Z0 - initial basis Z P1 - final center X1 - final basis X (X1,Y1,Z1 can be any 3d basis) Y1 - final basis Y Z1 - final basis Z Remarks: Change of basis transformations and rotation transformations are often confused. This is a change of basis transformation. If Q = P0 + a0*X0 + b0*Y0 + c0*Z0 = P1 + a1*X1 + b1*Y1 + c1*Z1 then this transform will map the point (a0,b0,c0) to (a1,b1,c1) </p>
</div>
</div>
<a id="aead35eea0c475ff8a825014b0a702355"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aead35eea0c475ff8a825014b0a702355">&#9670;&nbsp;</a></span>ClipFlag3d() <span class="overload">[1/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int ON_Xform::ClipFlag3d </td>
<td>(</td>
<td class="paramtype">const double *&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Computes 3d point clipping flags and returns an int with bits set to indicate if the point is outside of the clipping box.</p>
<p>Parameters: point - [in] 3d clipping coordinate point</p>
<p>Returns: <br />
<br />
bit point location 1 x &lt; -1 2 x &gt; +1 4 y &lt; -1 8 y &gt; +1 16 z &lt; -1 32 z &gt; +1 </p>
</div>
</div>
<a id="a5a5399bdaecc824c7ffe4fd0c45342f0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5a5399bdaecc824c7ffe4fd0c45342f0">&#9670;&nbsp;</a></span>ClipFlag3d() <span class="overload">[2/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int ON_Xform::ClipFlag3d </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const double *&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">bool&#160;</td>
<td class="paramname"><em>bTestZ</em> = <code>true</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Parameters: count - [in] number of 3d points stride - [in] (&gt;=3) points - [in] 3d clipping coordinate points (array of stride*count doubles) bTestZ - [in] (default=true) if false, do not test "z" coordinate </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">bTestZ</td><td>bTestZ </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a175f6b176dd2015b0a24da9c911f5dd0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a175f6b176dd2015b0a24da9c911f5dd0">&#9670;&nbsp;</a></span>ClipFlag3dBox()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int ON_Xform::ClipFlag3dBox </td>
<td>(</td>
<td class="paramtype">const double *&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const double *&#160;</td>
<td class="paramname">&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Computes 3d clipping flags for a 3d bounding box and returns an int with bits set to indicate if the bounding box is outside of the clipping box.</p>
<p>Parameters: boxmin - [in] 3d boxmin corner boxmax - [in] 3d boxmax corner</p>
<p>Returns: <br />
<br />
bit box location 1 boxmax x &lt; -1 2 boxmin x &gt; +1 4 boxmax y &lt; -1 8 boxmin y &gt; +1 16 boxmax z &lt; -1 32 boxmin z &gt; +1 </p>
</div>
</div>
<a id="a99d8ee7598fe94bd81a44efd25a2a273"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a99d8ee7598fe94bd81a44efd25a2a273">&#9670;&nbsp;</a></span>ClipFlag4d() <span class="overload">[1/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int ON_Xform::ClipFlag4d </td>
<td>(</td>
<td class="paramtype">const double *&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Computes homogeneous point clipping flags and returns an int with bits set to indicate if the point is outside of the clipping box.</p>
<p>Parameters: point - [in] 4d homogeneous clipping coordinate point</p>
<p>Returns: <br />
<br />
bit point location 1 x/w &lt; -1 2 x/w &gt; +1 4 y/w &lt; -1 8 y/w &gt; +1 16 z/w &lt; -1 32 z/w &gt; +1 </p>
</div>
</div>
<a id="aad9ac2867caa3cf62f6ac5e9bd194e9a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aad9ac2867caa3cf62f6ac5e9bd194e9a">&#9670;&nbsp;</a></span>ClipFlag4d() <span class="overload">[2/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int ON_Xform::ClipFlag4d </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const double *&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">bool&#160;</td>
<td class="paramname"><em>bTestZ</em> = <code>true</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Parameters: count - [in] number of 4d points stride - [in] (&gt;=4) points - [in] 4d clipping coordinate points (array of stride*count doubles) bTestZ - [in] (default=true) if false, do not test "z" coordinate </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">bTestZ</td><td>bTeztZ </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a74f3625a9e466ed6bb9e491e2fdd508b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a74f3625a9e466ed6bb9e491e2fdd508b">&#9670;&nbsp;</a></span>ClipToCamera()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::ClipToCamera </td>
<td>(</td>
<td class="paramtype">bool&#160;</td>
<td class="paramname"><em>bIsPerspective</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>maps -1 &lt;= x,y,z &lt;= 1 box to viewport frustum </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">bIsPerspective</td><td>true for perspective, false for orthographic </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a719833e89842b0755a446ccaa3477234"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a719833e89842b0755a446ccaa3477234">&#9670;&nbsp;</a></span>ClipToScreen()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::ClipToScreen </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Computes transform that maps the clipping box </p><pre class="fragment"> -1&lt;x&lt;1,-1&lt;y&lt;1,-1&lt;z&lt;1
</pre><p>to the screen box </p><pre class="fragment"> (left,right) X (bottom,top) X (near,far) </pre>
</div>
</div>
<a id="abff79e5ac5f95a894dbe538359fa3a43"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abff79e5ac5f95a894dbe538359fa3a43">&#9670;&nbsp;</a></span>Compare()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int ON_Xform::Compare </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"><em>other</em></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Well ordered dictionary compare that is nan aware. </p>
</div>
</div>
<a id="a7462351a9a13008d1ff79d1aee645cc5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7462351a9a13008d1ff79d1aee645cc5">&#9670;&nbsp;</a></span>Determinant()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">double ON_Xform::Determinant </td>
<td>(</td>
<td class="paramtype">double *&#160;</td>
<td class="paramname"> = <code>nullptr</code></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a929c2750cf67b0f7fddb6e32859834ab"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a929c2750cf67b0f7fddb6e32859834ab">&#9670;&nbsp;</a></span>Diagonal()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Diagonal </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>d</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="aba2b914f1efbfcf98b4222e6b1c920f6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aba2b914f1efbfcf98b4222e6b1c920f6">&#9670;&nbsp;</a></span>DiagonalTransformation() <span class="overload">[1/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::DiagonalTransformation </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>d</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns: Transformation with diagonal (d,d,d,1). </p>
</div>
</div>
<a id="a2e59387d2447a1783a3baca60d08d9fd"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2e59387d2447a1783a3baca60d08d9fd">&#9670;&nbsp;</a></span>DiagonalTransformation() <span class="overload">[2/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::DiagonalTransformation </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>d0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>d1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>d2</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns: Transformation with diagonal (d0,d1,d2,1.0). </p>
</div>
</div>
<a id="a7293f9404e837d7ee62d45cc14a2413f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7293f9404e837d7ee62d45cc14a2413f">&#9670;&nbsp;</a></span>DiagonalTransformation() <span class="overload">[3/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::DiagonalTransformation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>diagnoal</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns: Transformation with diagonal (d0,d1,d2,1.0). </p>
</div>
</div>
<a id="a72091a1051e5b4d869fe2bc02ac10086"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a72091a1051e5b4d869fe2bc02ac10086">&#9670;&nbsp;</a></span>GetMappingXforms()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">double ON_Xform::GetMappingXforms </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"><em>P_xform</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"><em>N_xform</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: If a texture mapping is applied to an object, the object is subsequently transformed by T, and the texture mapping needs to be recalculated, then two transforms are required to recalcalculate the texture mapping. Parameters: P_xform - [out] Transform to apply to points before applying the texture mapping transformation. N_xform - [out] Transform to apply to surface normals before applying the texture mapping transformation. Returns: The determinant of the "this" transformation. If non-zero, "this" is invertable and P_xform and N_xform were calculated. False if "this" is not invertable, in which case the returned P_xform and N_xform are the identity. </p>
</div>
</div>
<a id="ab7a7206c7076b1ed6d73810274e0d00b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab7a7206c7076b1ed6d73810274e0d00b">&#9670;&nbsp;</a></span>GetSurfaceNormalXform()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">double ON_Xform::GetSurfaceNormalXform </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"><em>N_xform</em></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: When transforming 3d point and surface or mesh normals two different transforms must be used. If P_xform transforms the point, then the inverse transpose of P_xform must be used to tranform normal vectors. Parameters: N_xform - [out] Returns: The determinant of the transformation. If non-zero, "this" is invertable and N_xform can be calculated. False if "this" is not invertable, in which case the returned N_xform = this with the right hand column and bottom row zeroed out. </p>
</div>
</div>
<a id="a3acabc2f3450992a943040eb0b0a6e0f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3acabc2f3450992a943040eb0b0a6e0f">&#9670;&nbsp;</a></span>Identity()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Identity </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>standard transformations </p>
<p>diagonal is (1,1,1,1) </p>
</div>
</div>
<a id="a0a74f0e2965c724eeacb7650b4192a4e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0a74f0e2965c724eeacb7650b4192a4e">&#9670;&nbsp;</a></span>IntervalChange()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IntervalChange </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>dir</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a>&#160;</td>
<td class="paramname"><em>old_interval</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a>&#160;</td>
<td class="paramname"><em>new_interval</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Calculates the transformation that linearly maps old_interval to new_interval. Parameters: dir - [in] 0 = x, 1 = y, 2= z; old_interval - [in] new_interval - [in] </p>
</div>
</div>
<a id="adb76cd3228028e2117fc11c0c20e5970"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adb76cd3228028e2117fc11c0c20e5970">&#9670;&nbsp;</a></span>Inverse()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::Inverse </td>
<td>(</td>
<td class="paramtype">double *&#160;</td>
<td class="paramname"> = <code>nullptr</code></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a9fb5d7ba1e4e803d801e588786e12806"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9fb5d7ba1e4e803d801e588786e12806">&#9670;&nbsp;</a></span>Invert()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::Invert </td>
<td>(</td>
<td class="paramtype">double *&#160;</td>
<td class="paramname"> = <code>nullptr</code></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="af20ed46002a65036de0e8c7ea108e317"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af20ed46002a65036de0e8c7ea108e317">&#9670;&nbsp;</a></span>IsAffine()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsAffine </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: A transformation is affine if it is valid and its last row is 0 0 0 1 An affine transformation can be broken into a linear transformation and a translation. Example: A perspective transformation is not affine. Returns: True if this is an affine transformation. </p>
</div>
</div>
<a id="a9acab57a9960e896e4487a483c979dcf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9acab57a9960e896e4487a483c979dcf">&#9670;&nbsp;</a></span>IsIdentity()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsIdentity </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>zero_tolerance</em> = <code>0.0</code></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns: true if matrix is the identity transformation </p><pre class="fragment"> 1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
</pre><p> Remarks: An element of the matrix is "zero" if fabs(x) &lt;= zero_tolerance. An element of the matrix is "one" if fabs(1.0-x) &lt;= zero_tolerance. If the matrix contains a nan, false is returned. </p>
</div>
</div>
<a id="ae8b66abebffc2cb5fc66e06aaadf4b71"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae8b66abebffc2cb5fc66e06aaadf4b71">&#9670;&nbsp;</a></span>IsNan()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsNan </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Test the entries of the transformation matrix to see if they are valid number. Returns: True if any coefficient in the transformation matrix is a nan. </p>
</div>
</div>
<a id="a3b123d7f406bdbfb61fd8cd86e4e6ce0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3b123d7f406bdbfb61fd8cd86e4e6ce0">&#9670;&nbsp;</a></span>IsNotIdentity()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsNotIdentity </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>zero_tolerance</em> = <code>0.0</code></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns: true if the matrix is valid and is not the identity transformation Remarks: An element of the matrix is "zero" if fabs(x) &lt;= zero_tolerance. An element of the matrix is "one" if fabs(1.0-x) &lt;= zero_tolerance. If the matrix contains a nan, false is returned. </p>
</div>
</div>
<a id="aec3ccb731b51ebe56e9cb58ae5536371"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aec3ccb731b51ebe56e9cb58ae5536371">&#9670;&nbsp;</a></span>IsSimilarity()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int ON_Xform::IsSimilarity </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: A similarity transformation can be broken into a sequence of dialations, translations, rotations, and reflections. Returns: +1: This transformation is an orientation preserving similarity. -1: This transformation is an orientation reversing similarity. 0: This transformation is not a similarity. </p>
</div>
</div>
<a id="ad6fcc8ea09d9f0fa9d5dc755f8cf2d24"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad6fcc8ea09d9f0fa9d5dc755f8cf2d24">&#9670;&nbsp;</a></span>IsTranslation()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsTranslation </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>zero_tolerance</em> = <code>0.0</code></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns: true if matrix is a pure translation </p><pre class="fragment"> 1 0 0 dx
0 1 0 dy
0 0 1 dz
0 0 0 1
</pre><p> Remarks: The test for zero is fabs(x) &lt;= zero_tolerance. The test for one is fabs(x-1) &lt;= zero_tolerance. </p>
</div>
</div>
<a id="af3ba89bd94dbf1352646da57052b67cb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af3ba89bd94dbf1352646da57052b67cb">&#9670;&nbsp;</a></span>IsValid()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsValid </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Test the entries of the transformation matrix to see if they are valid number. Returns: True if ON_IsValid() is true for every coefficient in the transformation matrix. </p>
</div>
</div>
<a id="afd119e20407cf6d31371042264460f13"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afd119e20407cf6d31371042264460f13">&#9670;&nbsp;</a></span>IsValidAndNotZeroAndNotIdentity()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsValidAndNotZeroAndNotIdentity </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>zero_tolerance</em> = <code>0.0</code></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="ad06570bb93287c8d55a3cac561515299"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad06570bb93287c8d55a3cac561515299">&#9670;&nbsp;</a></span>IsZero()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsZero </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns: true if matrix is <a class="el" href="../../d3/d13/class_o_n___xform.html#a1d3bdd807f1352d7f7dff6d0ab364bdb" title="ON_Xform::Zero4x4 - every coefficient is 0.0. ">ON_Xform::Zero4x4</a>, <a class="el" href="../../d3/d13/class_o_n___xform.html#a26441e6a7d8989849fa3ea86a68a03de" title="ON_Xform ZeroTransformation diagonal = (0,0,0,1) ">ON_Xform::ZeroTransformation</a>, or some other type of zero. The value xform[3][3] can be anything. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 * </p>
</div>
</div>
<a id="a98dddb0c8f2e23da8880fe97c49d9268"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a98dddb0c8f2e23da8880fe97c49d9268">&#9670;&nbsp;</a></span>IsZero4x4()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsZero4x4 </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns: true if matrix is <a class="el" href="../../d3/d13/class_o_n___xform.html#a1d3bdd807f1352d7f7dff6d0ab364bdb" title="ON_Xform::Zero4x4 - every coefficient is 0.0. ">ON_Xform::Zero4x4</a> The value xform[3][3] must be zero. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 </p>
</div>
</div>
<a id="a3cb7248499a74a0f33acb77ca8196151"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3cb7248499a74a0f33acb77ca8196151">&#9670;&nbsp;</a></span>IsZeroTransformation()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::IsZeroTransformation </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>Returns: true if matrix is <a class="el" href="../../d3/d13/class_o_n___xform.html#a26441e6a7d8989849fa3ea86a68a03de" title="ON_Xform ZeroTransformation diagonal = (0,0,0,1) ">ON_Xform::ZeroTransformation</a> The value xform[3][3] must be 1. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 </p>
</div>
</div>
<a id="ac84c376e1e2f91c80324c0a0e98ef207"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac84c376e1e2f91c80324c0a0e98ef207">&#9670;&nbsp;</a></span>Mirror()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Mirror </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td>
<td class="paramname"><em>point_on_mirror_plane</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&#160;</td>
<td class="paramname"><em>normal_to_mirror_plane</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Create mirror transformation matrix. Parameters: point_on_mirror_plane - [in] point on mirror plane normal_to_mirror_plane - [in] normal to mirror plane Remarks: The mirror transform maps a point Q to Q - (2*(Q-P)oN)*N, where P = point_on_mirror_plane and N = normal_to_mirror_plane. </p>
</div>
</div>
<a id="a254b6e1666396d85873bf665f4382d84"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a254b6e1666396d85873bf665f4382d84">&#9670;&nbsp;</a></span>operator!=()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::operator!= </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"><em>rhs</em></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a6a175185d16845d217cbd8c728512499"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6a175185d16845d217cbd8c728512499">&#9670;&nbsp;</a></span>operator*() <span class="overload">[1/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a> ON_Xform::operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../dd/dd9/class_o_n__2d_point.html">ON_2dPoint</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
<p>arbitrary matrix. Any missing rows/columns are set to identity. All non-commutative operations have "this" as left hand side and argument as right hand side. </p>
</div>
</div>
<a id="a9c7b6e144931b9a50d474bbc41d1b4df"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9c7b6e144931b9a50d474bbc41d1b4df">&#9670;&nbsp;</a></span>operator*() <span class="overload">[2/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> ON_Xform::operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a3bf89a792732665598f4e221e6aef19e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3bf89a792732665598f4e221e6aef19e">&#9670;&nbsp;</a></span>operator*() <span class="overload">[3/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> ON_Xform::operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a00422a8e8f11389828ba7319c4c33599"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a00422a8e8f11389828ba7319c4c33599">&#9670;&nbsp;</a></span>operator*() <span class="overload">[4/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a> ON_Xform::operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a2f365179088df3632e5f704ce19d2beb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2f365179088df3632e5f704ce19d2beb">&#9670;&nbsp;</a></span>operator*() <span class="overload">[5/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> ON_Xform::operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="ac23d647830e31f433e1d45890dcb4d14"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac23d647830e31f433e1d45890dcb4d14">&#9670;&nbsp;</a></span>operator*() <span class="overload">[6/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::operator* </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a14618115dc0916834dfe6b13e9af513b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a14618115dc0916834dfe6b13e9af513b">&#9670;&nbsp;</a></span>operator+()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::operator+ </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a288d4fc5b096a8b62e89250bdb2a9ffc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a288d4fc5b096a8b62e89250bdb2a9ffc">&#9670;&nbsp;</a></span>operator-()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::operator- </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a1714af3c9fc2dc13e509f8e9838a2e94"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1714af3c9fc2dc13e509f8e9838a2e94">&#9670;&nbsp;</a></span>operator=() <span class="overload">[1/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; ON_Xform::operator= </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">default</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a13ad1ff2a26f6dcccb7a44765674759f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a13ad1ff2a26f6dcccb7a44765674759f">&#9670;&nbsp;</a></span>operator=() <span class="overload">[2/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a>&amp; ON_Xform::operator= </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d7/d20/class_o_n___matrix.html">ON_Matrix</a> &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>xform = scalar results in a diagonal 3x3 with bottom row = 0,0,0,1 </p>
<p>from upper left 4x4 of an </p>
</div>
</div>
<a id="ab4a190ec1dfddf1e2474ad57c80f6e3d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab4a190ec1dfddf1e2474ad57c80f6e3d">&#9670;&nbsp;</a></span>operator==()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::operator== </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &amp;&#160;</td>
<td class="paramname"><em>rhs</em></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="ad259c9736ce7daf5d200ab4353b23545"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad259c9736ce7daf5d200ab4353b23545">&#9670;&nbsp;</a></span>operator[]() <span class="overload">[1/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">double* ON_Xform::operator[] </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a69c10f3299018ccfe5f6054ac48ed0c7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a69c10f3299018ccfe5f6054ac48ed0c7">&#9670;&nbsp;</a></span>operator[]() <span class="overload">[2/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">const double* ON_Xform::operator[] </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="adb4f772479f1c76db9f8c85d602d627b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#adb4f772479f1c76db9f8c85d602d627b">&#9670;&nbsp;</a></span>PlanarProjection()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::PlanarProjection </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;&#160;</td>
<td class="paramname"><em>plane</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Get transformation that projects to a plane Parameters: plane - [in] plane to project to Remarks: This transformaton maps a 3d point P to the point plane.ClosestPointTo(Q). </p>
</div>
</div>
<a id="aab233311d464665b83cf1d81c9859aea"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aab233311d464665b83cf1d81c9859aea">&#9670;&nbsp;</a></span>Rank()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int ON_Xform::Rank </td>
<td>(</td>
<td class="paramtype">double *&#160;</td>
<td class="paramname"> = <code>nullptr</code></td><td>)</td>
<td> const</td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a96d9246621d937407758af6ca16db267"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a96d9246621d937407758af6ca16db267">&#9670;&nbsp;</a></span>Rotation() <span class="overload">[1/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Rotation </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>sin_angle</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>cos_angle</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&#160;</td>
<td class="paramname"><em>rotation_axis</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td>
<td class="paramname"><em>rotation_center</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: The <a class="el" href="../../d3/d13/class_o_n___xform.html#a96d9246621d937407758af6ca16db267">Rotation()</a> function is overloaded and provides several ways to compute a rotation transformation. A positive rotation angle indicates a counter-clockwise (right hand rule) rotation about the axis of rotation.</p>
<p>Parameters: sin_angle - sin(rotation angle) cos_angle - cos(rotation angle) rotation_axis - 3d unit axis of rotation rotation_center - 3d center of rotation</p>
<p>Remarks: In the overloads that take frames, the frames should be right hand orthonormal frames (unit vectors with Z = X x Y). <br />
The resulting rotation fixes the origin (0,0,0), maps initial X to final X, initial Y to final Y, and initial Z to final Z.</p>
<p>In the overload that takes frames with center points, if the initial and final center are equal, then that center point is the fixed point of the rotation. If the initial and final point differ, then the resulting transform is the composition of a rotation fixing P0 and translation from P0 to P1. The resulting transformation maps P0 to P1, P0+X0 to P1+X1, ...</p>
<p>The rotation transformations that map frames to frames are not the same as the change of basis transformations for those frames. See <a class="el" href="../../d3/d13/class_o_n___xform.html#a7fbcbb60a036396a372a8b8453febc6a">ON_Xform::ChangeBasis()</a>. </p>
</div>
</div>
<a id="a4bacfebfdf34f38053602b4b995a05c8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4bacfebfdf34f38053602b4b995a05c8">&#9670;&nbsp;</a></span>Rotation() <span class="overload">[2/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Rotation </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>angle_radians</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&#160;</td>
<td class="paramname"><em>rotation_axis</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td>
<td class="paramname"><em>rotation_center</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Parameters: angle - rotation angle in radians rotation_axis - 3d unit axis of rotation rotation_center - 3d center of rotation </p>
</div>
</div>
<a id="add40941b83f805905c8c9319383307f5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#add40941b83f805905c8c9319383307f5">&#9670;&nbsp;</a></span>Rotation() <span class="overload">[3/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Rotation </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&#160;</td>
<td class="paramname"><em>start_dir</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a>&#160;</td>
<td class="paramname"><em>end_dir</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td>
<td class="paramname"><em>rotation_center</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Calculate the minimal transformation that rotates start_dir to end_dir while fixing rotation_center. </p>
</div>
</div>
<a id="a14ca3872105378035d3d2a483d81066c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a14ca3872105378035d3d2a483d81066c">&#9670;&nbsp;</a></span>Rotation() <span class="overload">[4/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Rotation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>X0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Y0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Z0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>X1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Y1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Z1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Parameters: X0 - initial frame X Y0 - initial frame Y Z0 - initial frame Z X1 - final frame X Y1 - final frame Y Z1 - final frame Z </p>
</div>
</div>
<a id="af76b2472e1fac123a2fcc0927dbabcf3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af76b2472e1fac123a2fcc0927dbabcf3">&#9670;&nbsp;</a></span>Rotation() <span class="overload">[5/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Rotation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>P0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>X0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Y0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Z0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>P1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>X1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Y1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>Z1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Parameters: P0 - initial frame center X0 - initial frame X Y0 - initial frame Y Z0 - initial frame Z P1 - initial frame center X1 - final frame X Y1 - final frame Y Z1 - final frame Z </p>
</div>
</div>
<a id="a00cf904e8c8caecf8a77b81edb04ff8b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a00cf904e8c8caecf8a77b81edb04ff8b">&#9670;&nbsp;</a></span>Rotation() <span class="overload">[6/6]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Rotation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;&#160;</td>
<td class="paramname"><em>plane0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;&#160;</td>
<td class="paramname"><em>plane1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Create rotation transformation that maps plane0 to plane1. Parameters: plane0 - [in] plane1 - [in] </p>
</div>
</div>
<a id="a885acec359045e452a3ddd6eea23cde2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a885acec359045e452a3ddd6eea23cde2">&#9670;&nbsp;</a></span>Scale() <span class="overload">[1/4]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Scale </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x_scale_factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>y_scale_factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>z_scale_factor</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Create non-uniform scale transformation with the origin as a fixed point. Parameters: fixed_point - [in] x_scale_factor - [in] y_scale_factor - [in] z_scale_factor - [in] Remarks: The diagonal is (x_scale_factor, y_scale_factor, z_scale_factor, 1) </p>
</div>
</div>
<a id="a2e2fd9d63877bd3309139e1cd9b79c51"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2e2fd9d63877bd3309139e1cd9b79c51">&#9670;&nbsp;</a></span>Scale() <span class="overload">[2/4]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Scale </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>scale_vector</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Create non-uniform scale transformation with the origin as the fixed point. Parameters: fixed_point - [in] scale_vector - [in] Remarks: The diagonal is (scale_vector.x, scale_vector.y, scale_vector.z, 1) </p>
</div>
</div>
<a id="a1f5b403d4c81217f9aac916af8bb3307"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1f5b403d4c81217f9aac916af8bb3307">&#9670;&nbsp;</a></span>Scale() <span class="overload">[3/4]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Scale </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a>&#160;</td>
<td class="paramname"><em>fixed_point</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>scale_factor</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Create uniform scale transformation with a specified fixed point. Parameters: fixed_point - [in] scale_factor - [in] </p>
</div>
</div>
<a id="aa487dd409c1f8969c5fc471b3ef8f2e9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa487dd409c1f8969c5fc471b3ef8f2e9">&#9670;&nbsp;</a></span>Scale() <span class="overload">[4/4]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Scale </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;&#160;</td>
<td class="paramname"><em>plane</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x_scale_factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>y_scale_factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>z_scale_factor</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Create non-uniform scale transformation with a specified fixed point. Parameters: plane - [in] plane.origin is the fixed point x_scale_factor - [in] plane.xaxis scale factor y_scale_factor - [in] plane.yaxis scale factor z_scale_factor - [in] plane.zaxis scale factor </p>
</div>
</div>
<a id="ad879fa21cd3bfc842087c1786e960b15"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad879fa21cd3bfc842087c1786e960b15">&#9670;&nbsp;</a></span>ScaleTransformation() <span class="overload">[1/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::ScaleTransformation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>fixed_point</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>scale_factor</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a35746d8276047d51a68a4738aa6b4360"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a35746d8276047d51a68a4738aa6b4360">&#9670;&nbsp;</a></span>ScaleTransformation() <span class="overload">[2/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::ScaleTransformation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname"><em>fixed_point</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x_scale_factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>y_scale_factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>z_scale_factor</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a94a38ec9532d3f23465b54246ceb7045"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a94a38ec9532d3f23465b54246ceb7045">&#9670;&nbsp;</a></span>ScaleTransformation() <span class="overload">[3/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::ScaleTransformation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;&#160;</td>
<td class="paramname"><em>plane</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>x_scale_factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>y_scale_factor</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>z_scale_factor</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Create non-uniform scale transformation with a specified fixed point. Parameters: plane - [in] plane.origin is the fixed point x_scale_factor - [in] plane.xaxis scale factor y_scale_factor - [in] plane.yaxis scale factor z_scale_factor - [in] plane.zaxis scale factor </p>
</div>
</div>
<a id="ab82e8a997f186cc7a7defefef5dd5d1c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab82e8a997f186cc7a7defefef5dd5d1c">&#9670;&nbsp;</a></span>ScreenToClip()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool ON_Xform::ScreenToClip </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname">&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Computes transform that maps the screen box </p><pre class="fragment"> (left,right) X (bottom,top) X (near,far)
</pre><p>to the clipping box </p><pre class="fragment"> -1&lt;x&lt;1,-1&lt;y&lt;1,-1&lt;z&lt;1 </pre>
</div>
</div>
<a id="a21d39fb2a1dd2701b8ba9568fbed0b54"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a21d39fb2a1dd2701b8ba9568fbed0b54">&#9670;&nbsp;</a></span>Shear()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Shear </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;&#160;</td>
<td class="paramname"><em>plane</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>x1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>y1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>z1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="ad9e5dbc570b63bd40ec35673cf5d0a2d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad9e5dbc570b63bd40ec35673cf5d0a2d">&#9670;&nbsp;</a></span>ShearTransformation()</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::ShearTransformation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d4/d48/class_o_n___plane.html">ON_Plane</a> &amp;&#160;</td>
<td class="paramname"><em>plane</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>x1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>y1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>z1</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Description: Create shear transformation. Parameters: plane - [in] plane.origin is the fixed point x1 - [in] plane.xaxis scale factor y1 - [in] plane.yaxis scale factor z1 - [in] plane.zaxis scale factor </p>
</div>
</div>
<a id="a3498c05e0640f7fdad5a449ffee5227e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3498c05e0640f7fdad5a449ffee5227e">&#9670;&nbsp;</a></span>Translation() <span class="overload">[1/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Translation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>delta</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a35dee4a0caf2f600ca75e146ff85a9b2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a35dee4a0caf2f600ca75e146ff85a9b2">&#9670;&nbsp;</a></span>Translation() <span class="overload">[2/2]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Translation </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dx</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dy</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dz</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a id="a98e6b91074e5847356fb4e8ded268266"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a98e6b91074e5847356fb4e8ded268266">&#9670;&nbsp;</a></span>TranslationTransformation() <span class="overload">[1/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::TranslationTransformation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../da/d08/class_o_n__2d_vector.html">ON_2dVector</a> &amp;&#160;</td>
<td class="paramname"><em>delta</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Right column is (delta.x, delta.y, 0, 1). </p>
</div>
</div>
<a id="aac8ed51cbaedf9fb94ff3701c0938a9a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aac8ed51cbaedf9fb94ff3701c0938a9a">&#9670;&nbsp;</a></span>TranslationTransformation() <span class="overload">[2/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::TranslationTransformation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname"><em>delta</em></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Right column is (delta.x, delta.y, delta.z, 1). </p>
</div>
</div>
<a id="ac14296972569561ae19206565fd84837"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac14296972569561ae19206565fd84837">&#9670;&nbsp;</a></span>TranslationTransformation() <span class="overload">[3/3]</span></h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::TranslationTransformation </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dx</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dy</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>dz</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Right column is (dx, dy, dz, 1). </p>
</div>
</div>
<a id="aa7ef93e4f93619a4bf693f940f03767e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa7ef93e4f93619a4bf693f940f03767e">&#9670;&nbsp;</a></span>Transpose()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::Transpose </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>matrix operations </p>
<p>transposes 4x4 matrix </p>
</div>
</div>
<a id="ab7bddfb8e55a0ee93716de3ce3f2e5c1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab7bddfb8e55a0ee93716de3ce3f2e5c1">&#9670;&nbsp;</a></span>WorldToCamera()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void ON_Xform::WorldToCamera </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &amp;&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname">, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &amp;&#160;</td>
<td class="paramname">&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>standard viewing transformations </p>
</div>
</div>
<h2 class="groupheader">Member Data Documentation</h2>
<a id="a4b990ccd63d5ffb4606d93a76361aba0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4b990ccd63d5ffb4606d93a76361aba0">&#9670;&nbsp;</a></span>IdentityTransformation</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::IdentityTransformation</td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> IdentityTransformation diagonal = (1,1,1,1) </p>
</div>
</div>
<a id="ae52aaae574f3a534ac7bfa5d47cbc610"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae52aaae574f3a534ac7bfa5d47cbc610">&#9670;&nbsp;</a></span>m_xform</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">double ON_Xform::m_xform[4][4]</td>
</tr>
</table>
</div><div class="memdoc">
<p>[i][j] = row i, column j. I.e., </p><pre class="fragment"> [0][0] [0][1] [0][2] [0][3]
[1][0] [1][1] [1][2] [1][3]
[2][0] [2][1] [2][2] [2][3]
[3][0] [3][1] [3][2] [3][3] </pre>
</div>
</div>
<a id="a75bf00a40fd0675f4e9e16e499f4cd3a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a75bf00a40fd0675f4e9e16e499f4cd3a">&#9670;&nbsp;</a></span>Nan</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::Nan</td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p><a class="el" href="../../d3/d13/class_o_n___xform.html#a75bf00a40fd0675f4e9e16e499f4cd3a" title="ON_Xform::Nan - every coefficient is ON_DBL_QNAN. ">ON_Xform::Nan</a> - every coefficient is ON_DBL_QNAN. </p>
</div>
</div>
<a id="a76cecc9c0184d6febe9f38652dc7c9d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a76cecc9c0184d6febe9f38652dc7c9d4">&#9670;&nbsp;</a></span>Unset</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::Unset</td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p><a class="el" href="../../d3/d13/class_o_n___xform.html#a76cecc9c0184d6febe9f38652dc7c9d4" title="ON_Xform::Unset - every coefficient is ON_UNSET_VALUE. ">ON_Xform::Unset</a> - every coefficient is ON_UNSET_VALUE. </p>
</div>
</div>
<a id="a1d3bdd807f1352d7f7dff6d0ab364bdb"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1d3bdd807f1352d7f7dff6d0ab364bdb">&#9670;&nbsp;</a></span>Zero4x4</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::Zero4x4</td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p><a class="el" href="../../d3/d13/class_o_n___xform.html#a1d3bdd807f1352d7f7dff6d0ab364bdb" title="ON_Xform::Zero4x4 - every coefficient is 0.0. ">ON_Xform::Zero4x4</a> - every coefficient is 0.0. </p>
</div>
</div>
<a id="a26441e6a7d8989849fa3ea86a68a03de"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a26441e6a7d8989849fa3ea86a68a03de">&#9670;&nbsp;</a></span>ZeroTransformation</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ON_Xform::ZeroTransformation</td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p><a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> ZeroTransformation diagonal = (0,0,0,1) </p>
</div>
</div>
</div><!-- contents -->
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Generated on Fri Jan 26 2018 12:38:24 for openNURBS SDK Help by &#160;<a href="http://www.doxygen.org/index.html">
<img class="footer" src="../../doxygen.png" alt="doxygen"/>
</a> 1.8.14
</small></address>
</body>
</html>
Reference in New Issue View Git Blame Copy Permalink