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  <div class="navpath"><a class="el" href="namespaceopenvrml.html">openvrml</a>::<a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a>
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<h1>openvrml::vec3d Struct Reference</h1><!-- doxytag: class="openvrml::vec3d" -->A POD-struct comprising a three-component double-precision vector.  
<a href="#_details">More...</a>
<p>
<code>#include &lt;openvrml/basetypes.h&gt;</code>
<p>

<p>
<a href="structopenvrml_1_1vec3d-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_1vec3d.html">vec3d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#0b8f8094ffa57fcaeadf2476ec130326">operator*=</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;<a class="el" href="structopenvrml_1_1vec3d.html#1a06fad568f3614c2d18164e5ad2b711">vec</a>)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Cross multiply.  <a href="#0b8f8094ffa57fcaeadf2476ec130326"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#352c3503486e757eb1b967e65ed512d2">operator*=</a> (const <a class="el" href="structopenvrml_1_1mat4f.html">mat4f</a> &amp;mat)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiply by a matrix.  <a href="#352c3503486e757eb1b967e65ed512d2"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#2fca931d31d87c2476744f1e84d2c117">operator*=</a> (double scalar)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiply by a scalar.  <a href="#2fca931d31d87c2476744f1e84d2c117"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#6dc45ef8ec1a1e0d3cc1fab0ff09ce4e">operator/=</a> (double scalar)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Divide by a scalar.  <a href="#6dc45ef8ec1a1e0d3cc1fab0ff09ce4e"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#aa0105f7aeac1281ba3f9121280cce56">operator+=</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;<a class="el" href="structopenvrml_1_1vec3d.html#1a06fad568f3614c2d18164e5ad2b711">vec</a>)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Add a vector.  <a href="#aa0105f7aeac1281ba3f9121280cce56"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#08e6f8bc64e83532a6acbbb883f498f3">operator-=</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;<a class="el" href="structopenvrml_1_1vec3d.html#1a06fad568f3614c2d18164e5ad2b711">vec</a>)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Subtract a vector.  <a href="#08e6f8bc64e83532a6acbbb883f498f3"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#eb273b0e8fec3848485967e3da1217d2">operator-</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Negate.  <a href="#eb273b0e8fec3848485967e3da1217d2"></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_1vec3d.html#97351d2ccb3d31c7fcaba1e05757b3d6">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="#97351d2ccb3d31c7fcaba1e05757b3d6"></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_1vec3d.html#1fcc7596ee5f484dfe987b24c1359060">x</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get the x component.  <a href="#1fcc7596ee5f484dfe987b24c1359060"></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_1vec3d.html#f0b8d9fe13d6c8db59fe5927df591b5b">x</a> (double value)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set the x component.  <a href="#f0b8d9fe13d6c8db59fe5927df591b5b"></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_1vec3d.html#c644efc023f0af57fba0081fc4fa9ee1">y</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get the y component.  <a href="#c644efc023f0af57fba0081fc4fa9ee1"></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_1vec3d.html#584d2420f7b2ba41160a6ef431a41962">y</a> (double value)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set the y component.  <a href="#584d2420f7b2ba41160a6ef431a41962"></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_1vec3d.html#e8447abacbe458acf277db959615f5c8">z</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get the z component.  <a href="#e8447abacbe458acf277db959615f5c8"></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_1vec3d.html#890f0ca424ef7f69166cabc7540f9901">z</a> (double value)  throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set the z component.  <a href="#890f0ca424ef7f69166cabc7540f9901"></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_1vec3d.html#b4268c4bab8e3f2a947c7a886d2261d4">dot</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;<a class="el" href="structopenvrml_1_1vec3d.html#1a06fad568f3614c2d18164e5ad2b711">vec</a>) const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Dot product.  <a href="#b4268c4bab8e3f2a947c7a886d2261d4"></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_1vec3d.html#bc4910e46199d290e35d4a156a55b5e4">length</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Geometric length.  <a href="#bc4910e46199d290e35d4a156a55b5e4"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#fc5bba9a60cf3ad2217ece2b2c49500e">normalize</a> () const   throw ()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Normalize.  <a href="#fc5bba9a60cf3ad2217ece2b2c49500e"></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_1vec3d.html#1a06fad568f3614c2d18164e5ad2b711">vec</a> [3]</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector components.  <a href="#1a06fad568f3614c2d18164e5ad2b711"></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_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#bd3209f50d025b3a8380fda978141188">make_vec3d</a> () throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Create a <code><a class="el" href="structopenvrml_1_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</a></code>.  <a href="#bd3209f50d025b3a8380fda978141188"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#1acbb9cdd19170cadc431363e3338e07">make_vec3d</a> (const double(&amp;<a class="el" href="structopenvrml_1_1vec3d.html#1a06fad568f3614c2d18164e5ad2b711">vec</a>)[3]) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Create a <code><a class="el" href="structopenvrml_1_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</a></code> from an array.  <a href="#1acbb9cdd19170cadc431363e3338e07"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#e3bfa5d7c4225e4b798936260187393d">make_vec3d</a> (const double x, const double y, const double z) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Create a <code><a class="el" href="structopenvrml_1_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</a></code> from <code>x</code>, <code>y</code>, and <code>z</code> components.  <a href="#e3bfa5d7c4225e4b798936260187393d"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#d70dd72e73a7c739d9c3cdfc4192e92d">operator*</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;lhs, const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Cross multiply two vectors.  <a href="#d70dd72e73a7c739d9c3cdfc4192e92d"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#aba3838029be102dc1b95be59cfdab04">operator*</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;<a class="el" href="structopenvrml_1_1vec3d.html#1a06fad568f3614c2d18164e5ad2b711">vec</a>, const <a class="el" href="structopenvrml_1_1mat4f.html">mat4f</a> &amp;mat) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiply a vector by a matrix.  <a href="#aba3838029be102dc1b95be59cfdab04"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#0a4019093ba60584ba10081a8819bf3c">operator*</a> (const <a class="el" href="structopenvrml_1_1mat4f.html">mat4f</a> &amp;mat, const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;<a class="el" href="structopenvrml_1_1vec3d.html#1a06fad568f3614c2d18164e5ad2b711">vec</a>) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiply a matrix by a vector.  <a href="#0a4019093ba60584ba10081a8819bf3c"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#7464634d17f6e51afd52b60328c929a8">operator*</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</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="#7464634d17f6e51afd52b60328c929a8"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#47e8fac3b1c8ec0a7f70e00830dca1fc">operator*</a> (const double lhs, const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiply a vector by a scalar.  <a href="#47e8fac3b1c8ec0a7f70e00830dca1fc"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#8a70daa1ff7d6d9db9e587b3b0d3cb17">operator/</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</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="#8a70daa1ff7d6d9db9e587b3b0d3cb17"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#df983502104a5ba8b953207e7991a422">operator+</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;lhs, const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Add two vectors.  <a href="#df983502104a5ba8b953207e7991a422"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="structopenvrml_1_1vec3d.html#be6cf6ea0f805ebeefd93901cd304654">operator-</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;lhs, const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Subtract two vectors.  <a href="#be6cf6ea0f805ebeefd93901cd304654"></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_1vec3d.html#2f26218c84e6f2258347a6fad37eb08d">operator==</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;lhs, const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Compare for equality.  <a href="#2f26218c84e6f2258347a6fad37eb08d"></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_1vec3d.html#9f99e798cda1ae753701b82944a48849">operator!=</a> (const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;lhs, const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;rhs) throw()</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Compare for inequality.  <a href="#9f99e798cda1ae753701b82944a48849"></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_1vec3d.html#5eaf5e0b048265cf5c7cb9d383ab9bc0">operator&gt;&gt;</a> (std::istream &amp;in, <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;v)</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Stream input.  <a href="#5eaf5e0b048265cf5c7cb9d383ab9bc0"></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_1vec3d.html#051c43b768351b1362386ef2be9cb554">operator&lt;&lt;</a> (std::ostream &amp;out, const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;v)</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Stream output.  <a href="#051c43b768351b1362386ef2be9cb554"></a><br></td></tr>
</table>
<hr><a name="_details"></a><h2>Detailed Description</h2>
A POD-struct comprising a three-component double-precision vector. <hr><h2>Member Function Documentation</h2>
<a class="anchor" name="0b8f8094ffa57fcaeadf2476ec130326"></a><!-- doxytag: member="openvrml::vec3d::operator*=" ref="0b8f8094ffa57fcaeadf2476ec130326" args="(const vec3d &amp;vec)" -->
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          <td class="memname"><a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> &amp; openvrml::vec3d::operator*=           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vec</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()</td>
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<p>
Cross multiply. 
<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>vector 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="352c3503486e757eb1b967e65ed512d2"></a><!-- doxytag: member="openvrml::vec3d::operator*=" ref="352c3503486e757eb1b967e65ed512d2" args="(const mat4f &amp;mat)" -->
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          <td class="memname"><a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> &amp; openvrml::vec3d::operator*=           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1mat4f.html">mat4f</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>mat</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()</td>
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      </table>
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<div class="memdoc">

<p>
Multiply by a matrix. 
<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>mat</em>&nbsp;</td><td>matrix 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="2fca931d31d87c2476744f1e84d2c117"></a><!-- doxytag: member="openvrml::vec3d::operator*=" ref="2fca931d31d87c2476744f1e84d2c117" args="(double scalar)" -->
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          <td class="memname"><a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> &amp; openvrml::vec3d::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="6dc45ef8ec1a1e0d3cc1fab0ff09ce4e"></a><!-- doxytag: member="openvrml::vec3d::operator/=" ref="6dc45ef8ec1a1e0d3cc1fab0ff09ce4e" args="(double scalar)" -->
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          <td class="memname"><a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> &amp; openvrml::vec3d::operator/=           </td>
          <td>(</td>
          <td class="paramtype">double&nbsp;</td>
          <td class="paramname"> <em>scalar</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()</td>
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<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="aa0105f7aeac1281ba3f9121280cce56"></a><!-- doxytag: member="openvrml::vec3d::operator+=" ref="aa0105f7aeac1281ba3f9121280cce56" args="(const vec3d &amp;vec)" -->
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          <td class="memname"><a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> &amp; openvrml::vec3d::operator+=           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vec</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()</td>
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      </table>
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<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="08e6f8bc64e83532a6acbbb883f498f3"></a><!-- doxytag: member="openvrml::vec3d::operator&#45;=" ref="08e6f8bc64e83532a6acbbb883f498f3" args="(const vec3d &amp;vec)" -->
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          <td class="memname"><a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> &amp; openvrml::vec3d::operator-=           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vec</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td>  throw ()</td>
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      </table>
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<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="eb273b0e8fec3848485967e3da1217d2"></a><!-- doxytag: member="openvrml::vec3d::operator&#45;" ref="eb273b0e8fec3848485967e3da1217d2" args="() const " -->
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          <td class="memname">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> openvrml::vec3d::operator-           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()</td>
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<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="97351d2ccb3d31c7fcaba1e05757b3d6"></a><!-- doxytag: member="openvrml::vec3d::operator[]" ref="97351d2ccb3d31c7fcaba1e05757b3d6" args="(std::size_t index) const " -->
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          <td class="memname">const double &amp; openvrml::vec3d::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>
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<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; 2 corresponds to the z 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 3. </dd></dl>

</div>
</div><p>
<a class="anchor" name="1fcc7596ee5f484dfe987b24c1359060"></a><!-- doxytag: member="openvrml::vec3d::x" ref="1fcc7596ee5f484dfe987b24c1359060" args="() const " -->
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          <td class="memname">double openvrml::vec3d::x           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()<code> [inline]</code></td>
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<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="f0b8d9fe13d6c8db59fe5927df591b5b"></a><!-- doxytag: member="openvrml::vec3d::x" ref="f0b8d9fe13d6c8db59fe5927df591b5b" args="(double value)" -->
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          <td class="memname">void openvrml::vec3d::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>
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<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="c644efc023f0af57fba0081fc4fa9ee1"></a><!-- doxytag: member="openvrml::vec3d::y" ref="c644efc023f0af57fba0081fc4fa9ee1" args="() const " -->
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          <td class="memname">double openvrml::vec3d::y           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()<code> [inline]</code></td>
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<p>
Get the y component. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the y component. </dd></dl>

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</div><p>
<a class="anchor" name="584d2420f7b2ba41160a6ef431a41962"></a><!-- doxytag: member="openvrml::vec3d::y" ref="584d2420f7b2ba41160a6ef431a41962" args="(double value)" -->
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          <td class="memname">void openvrml::vec3d::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>
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<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="e8447abacbe458acf277db959615f5c8"></a><!-- doxytag: member="openvrml::vec3d::z" ref="e8447abacbe458acf277db959615f5c8" args="() const " -->
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          <td class="memname">double openvrml::vec3d::z           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()<code> [inline]</code></td>
        </tr>
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<p>
Get the z component. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the z component. </dd></dl>

</div>
</div><p>
<a class="anchor" name="890f0ca424ef7f69166cabc7540f9901"></a><!-- doxytag: member="openvrml::vec3d::z" ref="890f0ca424ef7f69166cabc7540f9901" args="(double value)" -->
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          <td class="memname">void openvrml::vec3d::z           </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>
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<p>
Set the z 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 z component value. </td></tr>
  </table>
</dl>

</div>
</div><p>
<a class="anchor" name="b4268c4bab8e3f2a947c7a886d2261d4"></a><!-- doxytag: member="openvrml::vec3d::dot" ref="b4268c4bab8e3f2a947c7a886d2261d4" args="(const vec3d &amp;vec) const " -->
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          <td class="memname">double openvrml::vec3d::dot           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vec</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()</td>
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<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="bc4910e46199d290e35d4a156a55b5e4"></a><!-- doxytag: member="openvrml::vec3d::length" ref="bc4910e46199d290e35d4a156a55b5e4" args="() const " -->
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          <td class="memname">double openvrml::vec3d::length           </td>
          <td>(</td>
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          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()</td>
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<p>
Geometric length. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the length of the vector. </dd></dl>

</div>
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<a class="anchor" name="fc5bba9a60cf3ad2217ece2b2c49500e"></a><!-- doxytag: member="openvrml::vec3d::normalize" ref="fc5bba9a60cf3ad2217ece2b2c49500e" args="() const " -->
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          <td class="memname">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> openvrml::vec3d::normalize           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const  throw ()</td>
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<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="bd3209f50d025b3a8380fda978141188"></a><!-- doxytag: member="openvrml::vec3d::make_vec3d" ref="bd3209f50d025b3a8380fda978141188" args="()" -->
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          <td class="memname">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> make_vec3d           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> throw()<code> [related]</code></td>
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<p>
Create a <code><a class="el" href="structopenvrml_1_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</a></code>. 
<p>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a zero-initialized <code><a class="el" href="structopenvrml_1_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</a></code>. </dd></dl>

</div>
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<a class="anchor" name="1acbb9cdd19170cadc431363e3338e07"></a><!-- doxytag: member="openvrml::vec3d::make_vec3d" ref="1acbb9cdd19170cadc431363e3338e07" args="(const double(&amp;vec)[3])" -->
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          <td class="memname">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> make_vec3d           </td>
          <td>(</td>
          <td class="paramtype">const double(&amp;)&nbsp;</td>
          <td class="paramname"> <em>vec</em>[3]          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> throw()<code> [related]</code></td>
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<p>
Create a <code><a class="el" href="structopenvrml_1_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</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_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</a></code> with the values in <code>vec</code>. </dd></dl>

</div>
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<a class="anchor" name="e3bfa5d7c4225e4b798936260187393d"></a><!-- doxytag: member="openvrml::vec3d::make_vec3d" ref="e3bfa5d7c4225e4b798936260187393d" args="(const double x, const double y, const double z)" -->
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          <td class="memname">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> make_vec3d           </td>
          <td>(</td>
          <td class="paramtype">const double&nbsp;</td>
          <td class="paramname"> <em>x</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double&nbsp;</td>
          <td class="paramname"> <em>y</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double&nbsp;</td>
          <td class="paramname"> <em>z</em></td><td>&nbsp;</td>
        </tr>
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          <td></td>
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          <td></td><td></td><td> throw()<code> [related]</code></td>
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<p>
Create a <code><a class="el" href="structopenvrml_1_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</a></code> from <code>x</code>, <code>y</code>, and <code>z</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>, <code>y</code> and <code>z</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>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>z</em>&nbsp;</td><td>z component.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>a <code><a class="el" href="structopenvrml_1_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</a></code> with the values <code>x</code>, <code>y</code>, and <code>z</code>. </dd></dl>

</div>
</div><p>
<a class="anchor" name="d70dd72e73a7c739d9c3cdfc4192e92d"></a><!-- doxytag: member="openvrml::vec3d::operator*" ref="d70dd72e73a7c739d9c3cdfc4192e92d" args="(const vec3d &amp;lhs, const vec3d &amp;rhs)" -->
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          <td class="memname">const <a class="el" href="structopenvrml_1_1vec3d.html">openvrml::vec3d</a> operator*           </td>
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          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
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          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
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<p>
Cross multiply 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>
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<a class="anchor" name="aba3838029be102dc1b95be59cfdab04"></a><!-- doxytag: member="openvrml::vec3d::operator*" ref="aba3838029be102dc1b95be59cfdab04" args="(const vec3d &amp;vec, const mat4f &amp;mat)" -->
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          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vec</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1mat4f.html">mat4f</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>mat</em></td><td>&nbsp;</td>
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<p>
Multiply a vector by a matrix. 
<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>a vector. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>mat</em>&nbsp;</td><td>a matrix.</td></tr>
  </table>
</dl>
<dl class="return" compact><dt><b>Returns:</b></dt><dd>the result vector. </dd></dl>

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<a class="anchor" name="0a4019093ba60584ba10081a8819bf3c"></a><!-- doxytag: member="openvrml::vec3d::operator*" ref="0a4019093ba60584ba10081a8819bf3c" args="(const mat4f &amp;mat, const vec3d &amp;vec)" -->
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1mat4f.html">mat4f</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>mat</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>vec</em></td><td>&nbsp;</td>
        </tr>
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          <td></td>
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<p>
Multiply a matrix by 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>mat</em>&nbsp;</td><td>a matrix. </td></tr>
    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>vec</em>&nbsp;</td><td>a 3-component 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="7464634d17f6e51afd52b60328c929a8"></a><!-- doxytag: member="openvrml::vec3d::operator*" ref="7464634d17f6e51afd52b60328c929a8" args="(const vec3d &amp;lhs, const double rhs)" -->
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
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          <td></td>
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<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>

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</div><p>
<a class="anchor" name="47e8fac3b1c8ec0a7f70e00830dca1fc"></a><!-- doxytag: member="openvrml::vec3d::operator*" ref="47e8fac3b1c8ec0a7f70e00830dca1fc" args="(const double lhs, const vec3d &amp;rhs)" -->
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          <td class="paramtype">const double&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
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          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
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<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="8a70daa1ff7d6d9db9e587b3b0d3cb17"></a><!-- doxytag: member="openvrml::vec3d::operator/" ref="8a70daa1ff7d6d9db9e587b3b0d3cb17" args="(const vec3d &amp;lhs, const double rhs)" -->
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          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
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          <td class="paramkey"></td>
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          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
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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="df983502104a5ba8b953207e7991a422"></a><!-- doxytag: member="openvrml::vec3d::operator+" ref="df983502104a5ba8b953207e7991a422" args="(const vec3d &amp;lhs, const vec3d &amp;rhs)" -->
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
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<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="be6cf6ea0f805ebeefd93901cd304654"></a><!-- doxytag: member="openvrml::vec3d::operator&#45;" ref="be6cf6ea0f805ebeefd93901cd304654" args="(const vec3d &amp;lhs, const vec3d &amp;rhs)" -->
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          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
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          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>rhs</em></td><td>&nbsp;</td>
        </tr>
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<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="2f26218c84e6f2258347a6fad37eb08d"></a><!-- doxytag: member="openvrml::vec3d::operator==" ref="2f26218c84e6f2258347a6fad37eb08d" args="(const vec3d &amp;lhs, const vec3d &amp;rhs)" -->
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          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>lhs</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</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>
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<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="9f99e798cda1ae753701b82944a48849"></a><!-- doxytag: member="openvrml::vec3d::operator!=" ref="9f99e798cda1ae753701b82944a48849" args="(const vec3d &amp;lhs, const vec3d &amp;rhs)" -->
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          <td class="memname">bool operator!=           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structopenvrml_1_1vec3d.html">vec3d</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_1vec3d.html">vec3d</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="5eaf5e0b048265cf5c7cb9d383ab9bc0"></a><!-- doxytag: member="openvrml::vec3d::operator&gt;&gt;" ref="5eaf5e0b048265cf5c7cb9d383ab9bc0" args="(std::istream &amp;in, vec3d &amp;v)" -->
<div class="memitem">
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          <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_1vec3d.html">vec3d</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>
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<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_1vec3d.html" title="A POD-struct comprising a three-component double-precision vector.">vec3d</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="051c43b768351b1362386ef2be9cb554"></a><!-- doxytag: member="openvrml::vec3d::operator&lt;&lt;" ref="051c43b768351b1362386ef2be9cb554" args="(std::ostream &amp;out, const vec3d &amp;v)" -->
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          <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_1vec3d.html">vec3d</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>
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<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 3-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="1a06fad568f3614c2d18164e5ad2b711"></a><!-- doxytag: member="openvrml::vec3d::vec" ref="1a06fad568f3614c2d18164e5ad2b711" args="[3]" -->
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          <td class="memname">double <a class="el" href="structopenvrml_1_1vec3d.html#1a06fad568f3614c2d18164e5ad2b711">openvrml::vec3d::vec</a>[3]          </td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>
Vector components. 
<p>

</div>
</div><p>
</div>
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