Sophie

Sophie

distrib > Mandriva > 2010.0 > i586 > by-pkgid > 052d79447130ebaf90b2730395954d11 > files > 1017

openvrml-doc-0.18.3-1mdv2010.0.i586.rpm

<!doctype html public "-//W3C//DTD HTML 4.01 Transitional//EN"
               "http://www.w3.org/TR/html4/loose.dtd">

<html>
<head>
<title>OpenVRML: openvrml::vec2d Struct Reference</title>
<meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1">
<link rel="icon" href="../vrml-16">
<link rel="start" href="http://openvrml.org/index" title="OpenVRML Home">
<link rel="prev" href="http://openvrml.org/discussion" title="Discussion">
<link rel="contents" href="index" title="Documentation Main Page">
<link rel="index" href="functions" title="OpenVRML Compound Members">
<link rel="appendix" href="conformance" title="Conformance Test Results">
<style type="text/css">
@import url("tabs.css");
@import url("http://openvrml.org/openvrml.css");

table {
  width: 100%;
}

h2 {
  border-bottom-style: solid;
  border-bottom-width: 1px;
}

/*
 * Doxygen as of 1.5.4-20071217 uses the class "navpath" instead of "nav".
 * For now, we'll do both.
 */

div.nav,
div.navpath {
  background-color: transparent;
  text-align: left;
  margin-top: 1em;
  margin-bottom: 1em;
  border-color: black;
  border-left: none;
  border-right: none;
  padding-top: 0.5em;
  padding-bottom: 0.5em;
}

div.nav :link, div.nav :visited,
div.navpath :link, div.navpath :visited {
  border-width: 1px;
  border-style: solid;
  border-color: silver;
  padding: 2px;
}

div.nav :link:hover, div.nav :visited:hover,
div.navpath :link:hover, div.navpath :visited:hover {
  border-style: outset;
  border-color: gray;
}

div.nav :active,
div.navpath :active {
  border-style: inset;
  border-color: gray;
}

.body td {
  background-color: transparent;
}

.el {
  text-decoration: inherit;
  font-weight: inherit
}
.elRef {
  font-weight: inherit
}
.code:link, .code:visited {
  text-decoration: inherit;
  font-weight: inherit;
  color: inherit;
}
.codeRef:link {
  font-weight: normal;
  color: inherit;
}
:visited {
  color: silver;
}
:link:hover {
  color: inherit;
  text-decoration: inherit;
  background-color: transparent;
}

h1 {
  line-height: 1.2em;
}

td.memItemLeft, td.memItemRight,
td.memTemplParams, td.memTemplItemLeft, td.memTemplItemRight,
.memtemplate, .memname td {
  font-family: Consolas, "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Lucida Console", LucidaTypewriter, monospace;
}

td.memItemLeft, td.memItemRight, td.mdescLeft, td.mdescRight {
  background-color: rgb(95%, 95%, 95%);
  border-color: rgb(65%, 65%, 65%);
  border-width: 1px;
  font-size: smaller;
}

.memItemLeft {
  margin-top: 0.5em;
  border-top-style: solid;
}
.mdescLeft {
  border-bottom-style: solid;
}
.memItemRight {
  border-top-style: solid;
  margin-top: 0.5em;
}
.mdescRight {
  border-bottom-style: solid;
}

.mdescRight {
  font-style: italic;
}

.mdTable {
  background-color: rgb(95%, 95%, 95%);
}

.memproto td code {
  font-family: inherit;
  font-style: italic;
}

td.pass {
  background-color: rgb(50%, 100%, 50%);
}

td.fail {
  background-color: rgb(100%, 50%, 50%);
}

td.invalid {
  background-color: rgb(75%, 75%, 75%);
}

.memitem {
  padding: 0;
}

.memitem table {
  width: auto;
}

.memproto, .memdoc {
  border-width: 1px;
  border-color: rgb(65%, 65%, 65%);
}

.memproto {
  background-color: rgb(90%, 90%, 90%);
  font-weight: inherit;
  font-size: smaller;
  border-top-style: solid;
  border-left-style: solid;
  border-right-style: solid;
  -webkit-border-top-left-radius: 0.6em;
  -webkit-border-top-right-radius: 0.6em;
  -moz-border-radius-topleft: 0.6em;
  -moz-border-radius-topright: 0.6em;
}

.memdoc {
  background-color: rgb(95%, 95%, 95%);
  padding: 2px 5px;
  border-style: solid;
  -webkit-border-bottom-left-radius: 0.6em;
  -webkit-border-bottom-right-radius: 0.6em;
  -moz-border-radius-bottomleft: 0.6em;
  -moz-border-radius-bottomright: 0.6em;
}

.memname {
  font-weight: inherit;
}

div.tabs {
  background-image: url("tab_b-openvrml.png");
}

div.tabs span {
  background-image: url("tab_l-openvrml.png");
}

div.tabs a {
  background-image: url("tab_r-openvrml.png");
  border-bottom: 1px solid #a5a5a5;
}

div.tabs a:link, div.tabs a:visited, div.tabs a:active, div.tabs a:hover {
  color: black;
}

table {
  border-collapse: collapse;
  border-spacing: 0;
}

.note {
  border: 1px solid rgb(65%, 65%, 65%);
  background-color: rgb(95%, 95%, 95%);
  margin-left: 10%;
  margin-right: 10%;
}
</style>
</head>
<body>
<table class="sitenav">
  <tr>
    <th><a href="http://openvrml.org/index" title="Home">Home</a></th>
    <th><a href="http://openvrml.org/download" title="Download">Download</a></th>
    <th><a href="http://openvrml.org/screenshots/index" title="Screen shots">Screen shots</a></th>
    <th><a href="http://openvrml.org/discussion" title="Mailing lists and IRC">Discussion</a></th>
    <th>Documentation</th>
  </tr>
</table>
<div class="body">
<!-- Generated by Doxygen 1.5.8 -->
<div class="navigation" id="top">
  <div class="tabs">
    <ul>
      <li><a href="index.html"><span>Main&nbsp;Page</span></a></li>
      <li><a href="pages.html"><span>Related&nbsp;Pages</span></a></li>
      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
      <li><a href="files.html"><span>Files</span></a></li>
      <li><a href="examples.html"><span>Examples</span></a></li>
    </ul>
  </div>
  <div class="tabs">
    <ul>
      <li><a href="annotated.html"><span>Class&nbsp;List</span></a></li>
      <li><a href="hierarchy.html"><span>Class&nbsp;Hierarchy</span></a></li>
      <li><a href="functions.html"><span>Class&nbsp;Members</span></a></li>
    </ul>
  </div>
  <div class="navpath"><a class="el" href="namespaceopenvrml.html">openvrml</a>::<a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a>
  </div>
</div>
<div class="contents">
<h1>openvrml::vec2d Struct Reference</h1><!-- doxytag: class="openvrml::vec2d" -->Two-component double-precision vector.  
<a href="#_details">More...</a>
<p>
<code>#include &lt;openvrml/basetypes.h&gt;</code>
<p>

<p>
<a href="structopenvrml_1_1vec2d-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
<tr><td></td></tr>
<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#82c4c4ec600895eef4299839536ffd1c">operator*=</a> (double scalar)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiply by a scalar.  <a href="#82c4c4ec600895eef4299839536ffd1c"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#69b8fb133f5bee1b98f6cef156d74138">operator/=</a> (double scalar)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Divide by a scalar.  <a href="#69b8fb133f5bee1b98f6cef156d74138"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#339e9471d50f8aded1ab297d3fbed1c8">operator+=</a> (const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;<a class="el" href="structopenvrml_1_1vec2d.html#1ae99b5690e0ba14a2d212b4a3f236cf">vec</a>)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Add a vector.  <a href="#339e9471d50f8aded1ab297d3fbed1c8"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#8441e58d9a5ea13339fb99c9eaeeb3f6">operator-=</a> (const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;<a class="el" href="structopenvrml_1_1vec2d.html#1ae99b5690e0ba14a2d212b4a3f236cf">vec</a>)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Subtract a vector.  <a href="#8441e58d9a5ea13339fb99c9eaeeb3f6"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#bdc46962ed5a5ad700f41124cdb38d46">operator-</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Negate.  <a href="#bdc46962ed5a5ad700f41124cdb38d46"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const double &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#e671d21a3a2c2e4e9287ae6d5a5809ea">operator[]</a> (std::size_t index) const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Index-based component access.  <a href="#e671d21a3a2c2e4e9287ae6d5a5809ea"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#8c4922a3890727e4e8e81f63e095dfaf">x</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get the x component.  <a href="#8c4922a3890727e4e8e81f63e095dfaf"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#82e45dc3e3e7faaaf701aca947a34e9f">x</a> (double value)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set the x component.  <a href="#82e45dc3e3e7faaaf701aca947a34e9f"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#bd0b38c5fb77684b39bf93238af6866d">y</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get the y component.  <a href="#bd0b38c5fb77684b39bf93238af6866d"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#db43666720cabf8e8ec8d432ebee8a5a">y</a> (double value)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set the y component.  <a href="#db43666720cabf8e8ec8d432ebee8a5a"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#9908d712aa72b79768a21119a0a2c354">dot</a> (const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;<a class="el" href="structopenvrml_1_1vec2d.html#1ae99b5690e0ba14a2d212b4a3f236cf">vec</a>) const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Dot product.  <a href="#9908d712aa72b79768a21119a0a2c354"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#787097c991f0a78b58a091a7675faced">length</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Geometric length.  <a href="#787097c991f0a78b58a091a7675faced"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#e1e58303450ad9e67bd0fdf4628ef267">normalize</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Normalize.  <a href="#e1e58303450ad9e67bd0fdf4628ef267"></a><br></td></tr>
<tr><td colspan="2"><br><h2>Public Attributes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#1ae99b5690e0ba14a2d212b4a3f236cf">vec</a> [2]</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector components.  <a href="#1ae99b5690e0ba14a2d212b4a3f236cf"></a><br></td></tr>
<tr><td colspan="2"><br><h2>Related Functions</h2></td></tr>
<tr><td colspan="2">(Note that these are not member functions.) <br><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#a3d7885a6a6a6631aa92c92fcc03373f">make_vec2d</a> () throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Create a <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code>.  <a href="#a3d7885a6a6a6631aa92c92fcc03373f"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#6db665d1461c06d48e06aeaec4462a60">make_vec2d</a> (const double(&amp;<a class="el" href="structopenvrml_1_1vec2d.html#1ae99b5690e0ba14a2d212b4a3f236cf">vec</a>)[2]) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Create a <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code> from an array.  <a href="#6db665d1461c06d48e06aeaec4462a60"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#6ce5e8c315782768076644d00d343a0f">make_vec2d</a> (const double x, const double y) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Create a <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code> from <code>x</code> and <code>y</code> components.  <a href="#6ce5e8c315782768076644d00d343a0f"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#91b1a5a8dc26e74c38581d4608477160">operator*</a> (const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;lhs, const double rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiply a vector by a scalar.  <a href="#91b1a5a8dc26e74c38581d4608477160"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#069143885bdc4e8bcdeb096af52376d6">operator*</a> (const double lhs, const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiply a vector by a scalar.  <a href="#069143885bdc4e8bcdeb096af52376d6"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#1b0067692d3bfd3b4f9fdc4a07b030fa">operator/</a> (const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;lhs, const double rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Divide a vector by a scalar.  <a href="#1b0067692d3bfd3b4f9fdc4a07b030fa"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#30ff61e15d01518a81997c2d22326ad8">operator+</a> (const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;lhs, const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Add two vectors.  <a href="#30ff61e15d01518a81997c2d22326ad8"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#39a107cd29b213de7135c3d033b4a9f4">operator-</a> (const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;lhs, const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Subtract two vectors.  <a href="#39a107cd29b213de7135c3d033b4a9f4"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#fa2d2fe9c6e5e77c50d51231d44a9ed8">operator==</a> (const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;lhs, const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Compare for equality.  <a href="#fa2d2fe9c6e5e77c50d51231d44a9ed8"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#0ea169c3f1e5b9c985ad6c25418abfa6">operator!=</a> (const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;lhs, const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Compare for inequality.  <a href="#0ea169c3f1e5b9c985ad6c25418abfa6"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">std::istream &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#92067c5aff8dde3c6e62df946f569ce5">operator&gt;&gt;</a> (std::istream &amp;in, <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;v)</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Stream input.  <a href="#92067c5aff8dde3c6e62df946f569ce5"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">std::ostream &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec2d.html#f781a5acfca2370e8d0df87260cfb831">operator&lt;&lt;</a> (std::ostream &amp;out, const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;v)</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Stream output.  <a href="#f781a5acfca2370e8d0df87260cfb831"></a><br></td></tr>
</table>
<hr><a name="_details"></a><h2>Detailed Description</h2>
Two-component double-precision vector. <hr><h2>Member Function Documentation</h2>
<a class="anchor" name="82c4c4ec600895eef4299839536ffd1c"></a><!-- doxytag: member="openvrml::vec2d::operator*=" ref="82c4c4ec600895eef4299839536ffd1c" args="(double scalar)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> &amp; openvrml::vec2d::operator*=           </td>
          <td>(</td>
          <td class="paramtype">double&nbsp;</td>
          <td class="paramname"> <em>scalar</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Multiply by a scalar. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>scalar</em>&nbsp;</td><td>factor by which to multiply.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a reference to the object. </dd></dl>

</div>
</div><p>
<a class="anchor" name="69b8fb133f5bee1b98f6cef156d74138"></a><!-- doxytag: member="openvrml::vec2d::operator/=" ref="69b8fb133f5bee1b98f6cef156d74138" args="(double scalar)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> &amp; openvrml::vec2d::operator/=           </td>
          <td>(</td>
          <td class="paramtype">double&nbsp;</td>
          <td class="paramname"> <em>scalar</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Divide by a scalar. 
<p>
<dl class="pre" compact><dt><b>Precondition:</b></dt><dd><code>scalar</code> is nonzero.</dd></dl>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>scalar</em>&nbsp;</td><td>divisor.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a reference to the object. </dd></dl>

</div>
</div><p>
<a class="anchor" name="339e9471d50f8aded1ab297d3fbed1c8"></a><!-- doxytag: member="openvrml::vec2d::operator+=" ref="339e9471d50f8aded1ab297d3fbed1c8" args="(const vec2d &amp;vec)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> &amp; openvrml::vec2d::operator+=           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vec</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Add a vector. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>vec</em>&nbsp;</td><td>the vector to add.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a reference to the object. </dd></dl>

</div>
</div><p>
<a class="anchor" name="8441e58d9a5ea13339fb99c9eaeeb3f6"></a><!-- doxytag: member="openvrml::vec2d::operator&#45;=" ref="8441e58d9a5ea13339fb99c9eaeeb3f6" args="(const vec2d &amp;vec)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname"><a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> &amp; openvrml::vec2d::operator-=           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vec</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Subtract a vector. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>vec</em>&nbsp;</td><td>the vector to subtract.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a reference to the object. </dd></dl>

</div>
</div><p>
<a class="anchor" name="bdc46962ed5a5ad700f41124cdb38d46"></a><!-- doxytag: member="openvrml::vec2d::operator&#45;" ref="bdc46962ed5a5ad700f41124cdb38d46" args="() const " -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> openvrml::vec2d::operator-           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Negate. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the additive inverse of the vector. </dd></dl>

</div>
</div><p>
<a class="anchor" name="e671d21a3a2c2e4e9287ae6d5a5809ea"></a><!-- doxytag: member="openvrml::vec2d::operator[]" ref="e671d21a3a2c2e4e9287ae6d5a5809ea" args="(std::size_t index) const " -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const double &amp; openvrml::vec2d::operator[]           </td>
          <td>(</td>
          <td class="paramtype">std::size_t&nbsp;</td>
          <td class="paramname"> <em>index</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()<code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Index-based component access. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>index</em>&nbsp;</td><td>0 corresponds to the x component; 1 corresponds to the y component.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a const reference to the component corresponding to <code>index</code>.</dd></dl>
<dl class="pre" compact><dt><b>Precondition:</b></dt><dd><code>index</code> is less than 2. </dd></dl>

</div>
</div><p>
<a class="anchor" name="8c4922a3890727e4e8e81f63e095dfaf"></a><!-- doxytag: member="openvrml::vec2d::x" ref="8c4922a3890727e4e8e81f63e095dfaf" args="() const " -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">double openvrml::vec2d::x           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()<code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Get the x component. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the x component. </dd></dl>

</div>
</div><p>
<a class="anchor" name="82e45dc3e3e7faaaf701aca947a34e9f"></a><!-- doxytag: member="openvrml::vec2d::x" ref="82e45dc3e3e7faaaf701aca947a34e9f" args="(double value)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">void openvrml::vec2d::x           </td>
          <td>(</td>
          <td class="paramtype">double&nbsp;</td>
          <td class="paramname"> <em>value</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()<code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Set the x component. 
<p>
<dl class="pre" compact><dt><b>Precondition:</b></dt><dd><code>value</code> is a valid numeric value (i.e., not NaN).</dd></dl>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>value</em>&nbsp;</td><td>new x component value. </td></tr>
  </table>
</dl>

</div>
</div><p>
<a class="anchor" name="bd0b38c5fb77684b39bf93238af6866d"></a><!-- doxytag: member="openvrml::vec2d::y" ref="bd0b38c5fb77684b39bf93238af6866d" args="() const " -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">double openvrml::vec2d::y           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()<code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Get the y component. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the y component. </dd></dl>

</div>
</div><p>
<a class="anchor" name="db43666720cabf8e8ec8d432ebee8a5a"></a><!-- doxytag: member="openvrml::vec2d::y" ref="db43666720cabf8e8ec8d432ebee8a5a" args="(double value)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">void openvrml::vec2d::y           </td>
          <td>(</td>
          <td class="paramtype">double&nbsp;</td>
          <td class="paramname"> <em>value</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()<code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Set the y component. 
<p>
<dl class="pre" compact><dt><b>Precondition:</b></dt><dd><code>value</code> is a valid numeric value (i.e., not NaN).</dd></dl>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>value</em>&nbsp;</td><td>new y component value. </td></tr>
  </table>
</dl>

</div>
</div><p>
<a class="anchor" name="9908d712aa72b79768a21119a0a2c354"></a><!-- doxytag: member="openvrml::vec2d::dot" ref="9908d712aa72b79768a21119a0a2c354" args="(const vec2d &amp;vec) const " -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">double openvrml::vec2d::dot           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vec</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Dot product. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>vec</em>&nbsp;</td><td></td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the dot product of the vector and <code>vec</code>. </dd></dl>

</div>
</div><p>
<a class="anchor" name="787097c991f0a78b58a091a7675faced"></a><!-- doxytag: member="openvrml::vec2d::length" ref="787097c991f0a78b58a091a7675faced" args="() const " -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">double openvrml::vec2d::length           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Geometric length. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the length of the vector. </dd></dl>

</div>
</div><p>
<a class="anchor" name="e1e58303450ad9e67bd0fdf4628ef267"></a><!-- doxytag: member="openvrml::vec2d::normalize" ref="e1e58303450ad9e67bd0fdf4628ef267" args="() const " -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> openvrml::vec2d::normalize           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()</td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Normalize. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the vector normalized. </dd></dl>

</div>
</div><p>
<hr><h2>Friends And Related Function Documentation</h2>
<a class="anchor" name="a3d7885a6a6a6631aa92c92fcc03373f"></a><!-- doxytag: member="openvrml::vec2d::make_vec2d" ref="a3d7885a6a6a6631aa92c92fcc03373f" args="()" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> make_vec2d           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Create a <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code>. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a zero-initialized <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code>. </dd></dl>

</div>
</div><p>
<a class="anchor" name="6db665d1461c06d48e06aeaec4462a60"></a><!-- doxytag: member="openvrml::vec2d::make_vec2d" ref="6db665d1461c06d48e06aeaec4462a60" args="(const double(&amp;vec)[2])" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> make_vec2d           </td>
          <td>(</td>
          <td class="paramtype">const double(&amp;)&nbsp;</td>
          <td class="paramname"> <em>vec</em>[2]          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Create a <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code> from an array. 
<p>
This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. <dl class="pre" compact><dt><b>Precondition:</b></dt><dd>Elements of <code>vec</code> are valid numeric values (i.e., not NaN).</dd></dl>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>vec</em>&nbsp;</td><td>an array comprising the vector components.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code> with the values in <code>vec</code>. </dd></dl>

</div>
</div><p>
<a class="anchor" name="6ce5e8c315782768076644d00d343a0f"></a><!-- doxytag: member="openvrml::vec2d::make_vec2d" ref="6ce5e8c315782768076644d00d343a0f" args="(const double x, const double y)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> make_vec2d           </td>
          <td>(</td>
          <td class="paramtype">const double&nbsp;</td>
          <td class="paramname"> <em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double&nbsp;</td>
          <td class="paramname"> <em>y</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Create a <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code> from <code>x</code> and <code>y</code> components. 
<p>
This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. <dl class="pre" compact><dt><b>Precondition:</b></dt><dd><code>x</code> and <code>y</code> are valid numeric values (i.e., not NaN).</dd></dl>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>x</em>&nbsp;</td><td>x component. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>y</em>&nbsp;</td><td>y component.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code> with the values <code>x</code> and <code>y</code>. </dd></dl>

</div>
</div><p>
<a class="anchor" name="91b1a5a8dc26e74c38581d4608477160"></a><!-- doxytag: member="openvrml::vec2d::operator*" ref="91b1a5a8dc26e74c38581d4608477160" args="(const vec2d &amp;lhs, const double rhs)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> operator*           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Multiply a vector by a scalar. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>lhs</em>&nbsp;</td><td>left-hand operand (the vector). </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>rhs</em>&nbsp;</td><td>right-hand operand (the scalar).</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the result vector. </dd></dl>

</div>
</div><p>
<a class="anchor" name="069143885bdc4e8bcdeb096af52376d6"></a><!-- doxytag: member="openvrml::vec2d::operator*" ref="069143885bdc4e8bcdeb096af52376d6" args="(const double lhs, const vec2d &amp;rhs)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> operator*           </td>
          <td>(</td>
          <td class="paramtype">const double&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Multiply a vector by a scalar. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>lhs</em>&nbsp;</td><td>left-hand operand (the scalar). </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>rhs</em>&nbsp;</td><td>right-hand operand (the vector).</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the result vector. </dd></dl>

</div>
</div><p>
<a class="anchor" name="1b0067692d3bfd3b4f9fdc4a07b030fa"></a><!-- doxytag: member="openvrml::vec2d::operator/" ref="1b0067692d3bfd3b4f9fdc4a07b030fa" args="(const vec2d &amp;lhs, const double rhs)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> operator/           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Divide a vector by a scalar. 
<p>
<dl class="pre" compact><dt><b>Precondition:</b></dt><dd><code>rhs</code> is nonzero.</dd></dl>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>lhs</em>&nbsp;</td><td>left-hand operand (the vector). </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>rhs</em>&nbsp;</td><td>right-hand operand (the scalar).</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the result vector. </dd></dl>

</div>
</div><p>
<a class="anchor" name="30ff61e15d01518a81997c2d22326ad8"></a><!-- doxytag: member="openvrml::vec2d::operator+" ref="30ff61e15d01518a81997c2d22326ad8" args="(const vec2d &amp;lhs, const vec2d &amp;rhs)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> operator+           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Add two vectors. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>lhs</em>&nbsp;</td><td>left-hand operand. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>rhs</em>&nbsp;</td><td>right-hand operand.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the result vector. </dd></dl>

</div>
</div><p>
<a class="anchor" name="39a107cd29b213de7135c3d033b4a9f4"></a><!-- doxytag: member="openvrml::vec2d::operator&#45;" ref="39a107cd29b213de7135c3d033b4a9f4" args="(const vec2d &amp;lhs, const vec2d &amp;rhs)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">const <a class="el" href="structopenvrml_1_1vec2d.html">openvrml::vec2d</a> operator-           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Subtract two vectors. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>lhs</em>&nbsp;</td><td>left-hand operand. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>rhs</em>&nbsp;</td><td>right-hand operand.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the result vector. </dd></dl>

</div>
</div><p>
<a class="anchor" name="fa2d2fe9c6e5e77c50d51231d44a9ed8"></a><!-- doxytag: member="openvrml::vec2d::operator==" ref="fa2d2fe9c6e5e77c50d51231d44a9ed8" args="(const vec2d &amp;lhs, const vec2d &amp;rhs)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">bool operator==           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Compare for equality. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>lhs</em>&nbsp;</td><td>left-hand operand. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>rhs</em>&nbsp;</td><td>right-hand operand.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd><code>true</code> if <code>lhs</code> and <code>rhs</code> have the same value; <code>false</code> otherwise. </dd></dl>

</div>
</div><p>
<a class="anchor" name="0ea169c3f1e5b9c985ad6c25418abfa6"></a><!-- doxytag: member="openvrml::vec2d::operator!=" ref="0ea169c3f1e5b9c985ad6c25418abfa6" args="(const vec2d &amp;lhs, const vec2d &amp;rhs)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">bool operator!=           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td> throw()<code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Compare for inequality. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>lhs</em>&nbsp;</td><td>left-hand operand. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>rhs</em>&nbsp;</td><td>right-hand operand.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd><code>true</code> if <code>lhs</code> and <code>rhs</code> dot not have the same value; <code>false</code> otherwise. </dd></dl>

</div>
</div><p>
<a class="anchor" name="92067c5aff8dde3c6e62df946f569ce5"></a><!-- doxytag: member="openvrml::vec2d::operator&gt;&gt;" ref="92067c5aff8dde3c6e62df946f569ce5" args="(std::istream &amp;in, vec2d &amp;v)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">std::istream &amp; operator&gt;&gt;           </td>
          <td>(</td>
          <td class="paramtype">std::istream &amp;&nbsp;</td>
          <td class="paramname"> <em>in</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>v</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Stream input. 
<p>
Consistent with the VRML97 convention, commas (&ldquo;<code></code>,&rdquo;) in the input are treated as whitespace.<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in,out]</tt>&nbsp;</td><td valign="top"><em>in</em>&nbsp;</td><td>input stream. </td></tr>
    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>v</em>&nbsp;</td><td>a <code><a class="el" href="structopenvrml_1_1vec2d.html" title="Two-component double-precision vector.">vec2d</a></code>.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd><code>in</code>. </dd></dl>

</div>
</div><p>
<a class="anchor" name="f781a5acfca2370e8d0df87260cfb831"></a><!-- doxytag: member="openvrml::vec2d::operator&lt;&lt;" ref="f781a5acfca2370e8d0df87260cfb831" args="(std::ostream &amp;out, const vec2d &amp;v)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">std::ostream &amp; operator&lt;&lt;           </td>
          <td>(</td>
          <td class="paramtype">std::ostream &amp;&nbsp;</td>
          <td class="paramname"> <em>out</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec2d.html">vec2d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>v</em></td><td>&nbsp;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td><td><code> [related]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Stream output. 
<p>
<dl compact><dt><b>Parameters:</b></dt><dd>
  <table border="0" cellspacing="2" cellpadding="0">
    <tr><td valign="top"><tt>[in,out]</tt>&nbsp;</td><td valign="top"><em>out</em>&nbsp;</td><td>output stream. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>v</em>&nbsp;</td><td>a 2-component vector.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd><code>out</code>. </dd></dl>

</div>
</div><p>
<hr><h2>Member Data Documentation</h2>
<a class="anchor" name="1ae99b5690e0ba14a2d212b4a3f236cf"></a><!-- doxytag: member="openvrml::vec2d::vec" ref="1ae99b5690e0ba14a2d212b4a3f236cf" args="[2]" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
        <tr>
          <td class="memname">double <a class="el" href="structopenvrml_1_1vec2d.html#1ae99b5690e0ba14a2d212b4a3f236cf">openvrml::vec2d::vec</a>[2]          </td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Vector components. 
<p>

</div>
</div><p>
</div>
</div>
<address class="footer"><span class="images"><a href="http://web3d.org/x3d/"><img src="x3d-white-on-black.png" width="43" height="32" border="0" alt="X3D"></a><a href="http://opengl.org"><img src="OGL_sm_wht.png" width="68" height="32" border="0" alt="OpenGL"></a><a href="http://sourceforge.net/projects/openvrml"><img src="http://sourceforge.net/sflogo.php?group_id=7151&amp;type=11" width="120" height="30" border="0" alt="SourceForge.net"></a></span><a href="https://sourceforge.net/apps/trac/openvrml/newticket">Report error</a><br>Generated Thu Aug 13 02:49:16 2009 by Doxygen 1.5.8</address>
<script src="http://www.google-analytics.com/urchin.js" type="text/javascript"></script>
<script type="text/javascript">_uacct = "UA-446379-2"; urchinTracker();</script>
<!-- Piwik -->
<script type="text/javascript">
var pkBaseURL = (("https:" == document.location.protocol) ? "https://sourceforge.net/apps/piwik/openvrml/" : "http://sourceforge.net/apps/piwik/openvrml/");
document.write(unescape("%3Cscript src='" + pkBaseURL + "piwik.js' type='text/javascript'%3E%3C/script%3E"));
</script><script type="text/javascript">
piwik_action_name = '';
piwik_idsite = 1;
piwik_url = pkBaseURL + "piwik.php";
piwik_log(piwik_action_name, piwik_idsite, piwik_url);
</script>
<object><noscript><p><img src="http://sourceforge.net/apps/piwik/openvrml/piwik.php?idsite=1" alt="piwik"/></p></noscript></object>
<!-- End Piwik Tag -->
</body>
</html>