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+<a class="qindex" href="index.html">Main Page</a> &nbsp; <a class="qindex" href="namespaces.html">Namespace List</a> &nbsp; <a class="qindex" href="hierarchy.html">Class Hierarchy</a> &nbsp; <a class="qindex" href="classes.html">Alphabetical List</a> &nbsp; <a class="qindex" href="annotated.html">Compound List</a> &nbsp; <a class="qindex" href="files.html">File List</a> &nbsp; <a class="qindex" href="namespacemembers.html">Namespace Members</a> &nbsp; <a class="qindex" href="functions.html">Compound Members</a> &nbsp; <a class="qindex" href="globals.html">File Members</a> &nbsp; <a class="qindex" href="pages.html">Related Pages</a> &nbsp; <a class="qindexRef" doxygen="_cgi:http://www.nevrax.org/cgi-bin/nel-search.cgi" href="http://www.nevrax.org/cgi-bin/nel-search.cgi">Search</a> &nbsp; </center>
+<hr><h1>NL3D::CPSUtil Struct Reference</h1>This struct contains utility functions used by the particle system.
+<a href="#_details">More...</a>
+<p>
+<code>#include &lt;<a class="el" href="ps__util_8h-source.html">ps_util.h</a>&gt;</code>
+<p>
+<a href="structNL3D_1_1CPSUtil-members.html">List of all members.</a><table border=0 cellpadding=0 cellspacing=0>
+<tr><td colspan=2><br><h2>Static Public Methods</h2></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d0">registerSerialParticleSystem</a> (void)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>register the classes of the system mus be called when serializing.</em> <a href="#d0">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d1">displayBBox</a> (<a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> *driver, const <a class="el" href="classNLMISC_1_1CAABBox.html">NLMISC::CAABBox</a> &amp;box, <a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a> col=<a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a>)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>this draw a bounding box.</em> <a href="#d1">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d2">displaySphere</a> (<a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> &amp;driver, float radius, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;center, <a class="el" href="memory__common_8h.html#a15">uint</a> nbSubdiv=4, <a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a> color=<a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a>)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>draw a sphere.</em> <a href="#d2">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d3">displayDisc</a> (<a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> &amp;driver, float radius, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;center, const <a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;mat, <a class="el" href="memory__common_8h.html#a15">uint</a> nbSubdiv=32, <a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a> color=<a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a>)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>draw a disc (not filled).</em> <a href="#d3">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d4">displayCylinder</a> (<a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> &amp;driver, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;center, const <a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;mat, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;dim, <a class="el" href="memory__common_8h.html#a15">uint</a> nbSubdiv=32, <a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a> color=<a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a>)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>draw a cylinder (not filled).</em> <a href="#d4">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d5">display3DQuad</a> (<a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> &amp;driver, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;c1, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;c2,const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;c3, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;c4, <a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a> color=<a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a>)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>display a 3d quad in wireline, by using the 4 gicen corners.</em> <a href="#d5">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d6">addRadiusToAABBox</a> (<a class="el" href="classNLMISC_1_1CAABBox.html">NLMISC::CAABBox</a> &amp;box, float radius)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>enlarge a bounding box by the specified radius.</em> <a href="#d6">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d7">displayBasis</a> (<a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> *driver, const <a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;modelMat, const <a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;m, float <a class="el" href="cf__lexical_8cpp.html#a94">size</a>, <a class="el" href="classNL3D_1_1CFontGenerator.html">CFontGenerator</a> &amp;fg, <a class="el" href="classNL3D_1_1CFontManager.html">CFontManager</a> &amp;fm)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>display a basis using the given matrix. The model matrix must be restored after this call.</em> <a href="#d7">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d8">displayArrow</a> (<a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> *driver, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;start, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;<a class="el" href="driver__opengl__extension__def_8h.html#a368">v</a>, float <a class="el" href="cf__lexical_8cpp.html#a94">size</a>, <a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a> col1, <a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a> col2)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>display an arrow (the same that is used with displayBasis) The user must setup the model matrix himself.</em> <a href="#d8">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d9">print</a> (<a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> *driver, const std::string &amp;text, <a class="el" href="classNL3D_1_1CFontGenerator.html">CFontGenerator</a> &amp;fg, <a class="el" href="classNL3D_1_1CFontManager.html">CFontManager</a> &amp;fm, const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;pos, float <a class="el" href="cf__lexical_8cpp.html#a94">size</a>)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>display a string at the given position. The model matrix must be restored after this call.</em> <a href="#d9">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d10">buildSchmidtBasis</a> (const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;<a class="el" href="driver__opengl__extension__def_8h.html#a368">v</a>, <a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;dest)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>build a basis from a vector using Schmidt orthogonalization method.</em> <a href="#d10">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>float&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d11">getCos</a> (<a class="el" href="memory__common_8h.html#a10">sint32</a> angle)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>get a cosine from the fast cosine table (which must be have initialised with initFastCosNSinTable).</em> <a href="#d11">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>float&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d12">getSin</a> (<a class="el" href="memory__common_8h.html#a10">sint32</a> angle)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>get a cosine from the fast cosine table (which must be have initialised with initFastCosNSinTable).</em> <a href="#d12">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d13">initFastCosNSinTable</a> (void)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>Init the table for cosine and sinus lookup.</em> <a href="#d13">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>float&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d14">buildPerlinNoise</a> (<a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;pos, <a class="el" href="memory__common_8h.html#a15">uint</a> nbOctaves)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>compute a perlin noise value, that will range from [0 to 1] The first octave has the unit size.</em> <a href="#d14">More...</a><em></em></font><br><br></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#d15">initPerlinNoiseTable</a> (void)</td></tr>
+<tr><td>&nbsp;</td><td><font size=-1><em>init the table used by perlin noise.</em> <a href="#d15">More...</a><em></em></font><br><br></td></tr>
+<tr><td colspan=2><br><h2>Static Private Methods</h2></td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#f0">registerForces</a> ()</td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#f1">registerParticles</a> ()</td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#f2">registerEmitters</a> ()</td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#f3">registerZones</a> ()</td></tr>
+<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#f4">registerAttribs</a> ()</td></tr>
+<tr><td nowrap align=right valign=top>float&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#f5">getInterpolatedNoise</a> (const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;pos)</td></tr>
+<tr><td nowrap align=right valign=top>float&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#f6">getPerlinNoise</a> (<a class="el" href="memory__common_8h.html#a15">uint</a> <a class="el" href="driver__opengl__extension__def_8h.html#a364">x</a>, <a class="el" href="memory__common_8h.html#a15">uint</a> <a class="el" href="driver__opengl__extension__def_8h.html#a365">y</a>, <a class="el" href="memory__common_8h.html#a15">uint</a> <a class="el" href="driver__opengl__extension__def_8h.html#a366">z</a>)</td></tr>
+<tr><td colspan=2><br><h2>Static Private Attributes</h2></td></tr>
+<tr><td nowrap align=right valign=top>bool&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#r0">_CosTableInitialized</a> = false</td></tr>
+<tr><td nowrap align=right valign=top>bool&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#r1">_PerlinNoiseTableInitialized</a> = false</td></tr>
+<tr><td nowrap align=right valign=top>float&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#r2">_CosTable</a> [256]</td></tr>
+<tr><td nowrap align=right valign=top>float&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#r3">_SinTable</a> [256]</td></tr>
+<tr><td nowrap align=right valign=top>float&nbsp;</td><td valign=bottom><a class="el" href="structNL3D_1_1CPSUtil.html#r4">_PerlinNoiseTab</a> [1024]</td></tr>
+</table>
+<hr><a name="_details"></a><h2>Detailed Description</h2>
+This struct contains utility functions used by the particle system.
+<p>
+<dl compact><dt><b>
+Author: </b><dd>
+Nicolas Vizerie , Nevrax France </dl><dl compact><dt><b>
+Date: </b><dd>
+2001 </dl>
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8h-source.html#l00057">57</a> of file <a class="el" href="ps__util_8h-source.html">ps_util.h</a>.<hr><h2>Member Function Documentation</h2>
+<a name="d6" doxytag="NL3D::CPSUtil::addRadiusToAABBox"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::addRadiusToAABBox </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNLMISC_1_1CAABBox.html">NLMISC::CAABBox</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>box</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>float&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>radius</em></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [inline, static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+enlarge a bounding box by the specified radius.
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8h-source.html#l00178">178</a> of file <a class="el" href="ps__util_8h-source.html">ps_util.h</a>.
+<p>
+References <a class="el" href="aabbox_8h-source.html#l00095">NLMISC::CAABBox::getHalfSize</a>, and <a class="el" href="aabbox_8h-source.html#l00071">NLMISC::CAABBox::setHalfSize</a>. </td>
+ </tr>
+</table>
+<a name="d14" doxytag="NL3D::CPSUtil::buildPerlinNoise"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> float NL3D::CPSUtil::buildPerlinNoise </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>pos</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="memory__common_8h.html#a15">uint</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>nbOctaves</em></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [inline, static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+compute a perlin noise value, that will range from [0 to 1] The first octave has the unit size.
+<p>
+<dl compact><dt><b>
+See also: </b><dd>
+<a class="el" href="structNL3D_1_1CPSUtil.html#d15">initPerlinNoiseTable</a>() </dl>
+<p>
+Definition at line <a class="el" href="ps__util_8h-source.html#l00237">237</a> of file <a class="el" href="ps__util_8h-source.html">ps_util.h</a>.
+<p>
+References <a class="el" href="ps__util_8cpp-source.html#l00058">_PerlinNoiseTableInitialized</a>, <a class="el" href="ps__util_8h-source.html#l00191">getInterpolatedNoise</a>, and <a class="el" href="debug_8h-source.html#l00254">nlassert</a>. </td>
+ </tr>
+</table>
+<a name="d10" doxytag="NL3D::CPSUtil::buildSchmidtBasis"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::buildSchmidtBasis </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top">const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>v</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>dest</em></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+build a basis from a vector using Schmidt orthogonalization method.
+<p>
+<dl compact><dt><b>
+Parameters: </b><dd>
+<table border=0 cellspacing=2 cellpadding=0>
+<tr><td valign=top><em>v</em>&nbsp;</td><td>
+K axis in the resulting basis </td></tr>
+<tr><td valign=top><em>dest</em>&nbsp;</td><td>
+The matrix containing the result. Only the rotation part is modified </td></tr>
+</table>
+</dl>
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00254">254</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+References <a class="el" href="matrix_8cpp-source.html#l00209">NLMISC::CMatrix::setRot</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00166">displayArrow</a>. </td>
+ </tr>
+</table>
+<a name="d5" doxytag="NL3D::CPSUtil::display3DQuad"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::display3DQuad </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>driver</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>c1</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>c2</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>c3</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>c4</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>color</em> = <a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+display a 3d quad in wireline, by using the 4 gicen corners.
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00380">380</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>. </td>
+ </tr>
+</table>
+<a name="d8" doxytag="NL3D::CPSUtil::displayArrow"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::displayArrow </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> *&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>driver</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>start</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>v</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>float&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>size</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>col1</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>col2</em></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+display an arrow (the same that is used with displayBasis) The user must setup the model matrix himself.
+<p>
+<dl compact><dt><b>
+Parameters: </b><dd>
+<table border=0 cellspacing=2 cellpadding=0>
+<tr><td valign=top><em>driver</em>&nbsp;</td><td>
+the driver used for rendering </td></tr>
+<tr><td valign=top><em>start</em>&nbsp;</td><td>
+start point of the arrow </td></tr>
+<tr><td valign=top><em>v</em>&nbsp;</td><td>
+direction of the arrow </td></tr>
+<tr><td valign=top><em>size</em>&nbsp;</td><td>
+size of the arrow (will be drawn as size * v) </td></tr>
+<tr><td valign=top><em>col1</em>&nbsp;</td><td>
+color of the arrow start </td></tr>
+<tr><td valign=top><em>col2</em>&nbsp;</td><td>
+color of the arrow end </td></tr>
+</table>
+</dl>
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00166">166</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+References <a class="el" href="ps__util_8cpp-source.html#l00254">buildSchmidtBasis</a>, and <a class="el" href="driver__opengl__extension__def_8h-source.html#l00234">v</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00209">displayBasis</a>. </td>
+ </tr>
+</table>
+<a name="d7" doxytag="NL3D::CPSUtil::displayBasis"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::displayBasis </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> *&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>driver</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>modelMat</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>m</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>float&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>size</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNL3D_1_1CFontGenerator.html">CFontGenerator</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>fg</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNL3D_1_1CFontManager.html">CFontManager</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>fm</em></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+display a basis using the given matrix. The model matrix must be restored after this call.
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00209">209</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+References <a class="el" href="ps__util_8cpp-source.html#l00166">displayArrow</a>, <a class="el" href="matrix_8cpp-source.html#l00419">NLMISC::CMatrix::getI</a>, <a class="el" href="matrix_8cpp-source.html#l00427">NLMISC::CMatrix::getJ</a>, <a class="el" href="matrix_8cpp-source.html#l00435">NLMISC::CMatrix::getK</a>, and <a class="el" href="matrix_8h-source.html#l00188">NLMISC::CMatrix::getPos</a>. </td>
+ </tr>
+</table>
+<a name="d1" doxytag="NL3D::CPSUtil::displayBBox"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::displayBBox </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> *&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>driver</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CAABBox.html">NLMISC::CAABBox</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>box</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>col</em> = <a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+this draw a bounding box.
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00115">115</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+References <a class="el" href="classNL3D_1_1IDriver.html#a38">NL3D::IDriver::activeVertexBuffer</a>, <a class="el" href="aabbox_8h-source.html#l00091">NLMISC::CAABBox::getMax</a>, <a class="el" href="aabbox_8h-source.html#l00090">NLMISC::CAABBox::getMin</a>, <a class="el" href="bit__set_8cpp-source.html#l00038">min</a>, and <a class="el" href="classNL3D_1_1IDriver.html#a41">NL3D::IDriver::render</a>. </td>
+ </tr>
+</table>
+<a name="d4" doxytag="NL3D::CPSUtil::displayCylinder"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::displayCylinder </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>driver</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>center</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>mat</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>dim</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="memory__common_8h.html#a15">uint</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>nbSubdiv</em> = 32, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>color</em> = <a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+draw a cylinder (not filled).
+<p>
+<dl compact><dt><b>
+Parameters: </b><dd>
+<table border=0 cellspacing=2 cellpadding=0>
+<tr><td valign=top><em>dim</em>&nbsp;</td><td>
+dimension of the cylinder along each axis, packed in a vector </td></tr>
+</table>
+</dl>
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00348">348</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>. </td>
+ </tr>
+</table>
+<a name="d3" doxytag="NL3D::CPSUtil::displayDisc"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::displayDisc </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>driver</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>float&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>radius</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>center</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CMatrix.html">NLMISC::CMatrix</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>mat</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="memory__common_8h.html#a15">uint</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>nbSubdiv</em> = 32, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>color</em> = <a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+draw a disc (not filled).
+<p>
+<dl compact><dt><b>
+Parameters: </b><dd>
+<table border=0 cellspacing=2 cellpadding=0>
+<tr><td valign=top><em>mat</em>&nbsp;</td><td>
+: a matrix, whose K vector is normal to the plane containing the disc </td></tr>
+</table>
+</dl>
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00329">329</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>. </td>
+ </tr>
+</table>
+<a name="d2" doxytag="NL3D::CPSUtil::displaySphere"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::displaySphere </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>driver</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>float&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>radius</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>center</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="memory__common_8h.html#a15">uint</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>nbSubdiv</em> = 4, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNLMISC_1_1CRGBA.html">NLMISC::CRGBA</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>color</em> = <a class="el" href="classNLMISC_1_1CRGBA.html#p7">NLMISC::CRGBA::White</a></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+draw a sphere.
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00283">283</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+References <a class="el" href="driver__opengl__extension__def_8h-source.html#l00233">x</a>, and <a class="el" href="driver__opengl__extension__def_8h-source.html#l00233">y</a>. </td>
+ </tr>
+</table>
+<a name="d11" doxytag="NL3D::CPSUtil::getCos"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> float NL3D::CPSUtil::getCos </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="memory__common_8h.html#a10">sint32</a>&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; <em>angle</em> </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [inline, static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+get a cosine from the fast cosine table (which must be have initialised with initFastCosNSinTable).
+<p>
+256 &lt;=&gt; 2 Pi
+<p>
+Definition at line <a class="el" href="ps__util_8h-source.html#l00121">121</a> of file <a class="el" href="ps__util_8h-source.html">ps_util.h</a>.
+<p>
+References <a class="el" href="debug_8h-source.html#l00254">nlassert</a>. </td>
+ </tr>
+</table>
+<a name="f5" doxytag="NL3D::CPSUtil::getInterpolatedNoise"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> float NL3D::CPSUtil::getInterpolatedNoise </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top">const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; <em>pos</em> </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [inline, static, private]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8h-source.html#l00191">191</a> of file <a class="el" href="ps__util_8h-source.html">ps_util.h</a>.
+<p>
+References <a class="el" href="ps__util_8h-source.html#l00185">getPerlinNoise</a>, <a class="el" href="vector_8h-source.html#l00051">NLMISC::CVector::x</a>, <a class="el" href="driver__opengl__extension__def_8h-source.html#l00233">x</a>, <a class="el" href="vector_8h-source.html#l00051">NLMISC::CVector::y</a>, <a class="el" href="driver__opengl__extension__def_8h-source.html#l00233">y</a>, <a class="el" href="vector_8h-source.html#l00051">NLMISC::CVector::z</a>, and <a class="el" href="driver__opengl__extension__def_8h-source.html#l00233">z</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8h-source.html#l00237">buildPerlinNoise</a>. </td>
+ </tr>
+</table>
+<a name="f6" doxytag="NL3D::CPSUtil::getPerlinNoise"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> float NL3D::CPSUtil::getPerlinNoise </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="memory__common_8h.html#a15">uint</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>x</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="memory__common_8h.html#a15">uint</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>y</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="memory__common_8h.html#a15">uint</a>&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>z</em></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [inline, static, private]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8h-source.html#l00185">185</a> of file <a class="el" href="ps__util_8h-source.html">ps_util.h</a>.
+<p>
+References <a class="el" href="ps__util_8cpp-source.html#l00063">_PerlinNoiseTab</a>, <a class="el" href="driver__opengl__extension__def_8h-source.html#l00233">x</a>, <a class="el" href="driver__opengl__extension__def_8h-source.html#l00233">y</a>, and <a class="el" href="driver__opengl__extension__def_8h-source.html#l00233">z</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8h-source.html#l00191">getInterpolatedNoise</a>. </td>
+ </tr>
+</table>
+<a name="d12" doxytag="NL3D::CPSUtil::getSin"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> float NL3D::CPSUtil::getSin </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="memory__common_8h.html#a10">sint32</a>&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; <em>angle</em> </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [inline, static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+get a cosine from the fast cosine table (which must be have initialised with initFastCosNSinTable).
+<p>
+256 &lt;=&gt; 2 Pi
+<p>
+Definition at line <a class="el" href="ps__util_8h-source.html#l00130">130</a> of file <a class="el" href="ps__util_8h-source.html">ps_util.h</a>.
+<p>
+References <a class="el" href="debug_8h-source.html#l00254">nlassert</a>. </td>
+ </tr>
+</table>
+<a name="d13" doxytag="NL3D::CPSUtil::initFastCosNSinTable"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::initFastCosNSinTable </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top">void&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+Init the table for cosine and sinus lookup.
+<p>
+<dl compact><dt><b>
+See also: </b><dd>
+<a class="el" href="structNL3D_1_1CPSUtil.html#d11">getCos</a>(), <a class="el" href="structNL3D_1_1CPSUtil.html#d12">getSin</a>() </dl>
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00081">81</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+References <a class="el" href="ps__util_8cpp-source.html#l00061">_CosTable</a>, <a class="el" href="ps__util_8cpp-source.html#l00057">_CosTableInitialized</a>, and <a class="el" href="ps__util_8cpp-source.html#l00062">_SinTable</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00095">registerSerialParticleSystem</a>. </td>
+ </tr>
+</table>
+<a name="d15" doxytag="NL3D::CPSUtil::initPerlinNoiseTable"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::initPerlinNoiseTable </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top">void&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+init the table used by perlin noise.
+<p>
+This must be used before any call to buildPerlinNoise
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00069">69</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+References <a class="el" href="ps__util_8cpp-source.html#l00063">_PerlinNoiseTab</a>, and <a class="el" href="ps__util_8cpp-source.html#l00058">_PerlinNoiseTableInitialized</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00095">registerSerialParticleSystem</a>. </td>
+ </tr>
+</table>
+<a name="d9" doxytag="NL3D::CPSUtil::print"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::print </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top"><a class="el" href="classNL3D_1_1IDriver.html">NL3D::IDriver</a> *&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>driver</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const std::string &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>text</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNL3D_1_1CFontGenerator.html">CFontGenerator</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>fg</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap><a class="el" href="classNL3D_1_1CFontManager.html">CFontManager</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>fm</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>const <a class="el" href="classNLMISC_1_1CVector.html">NLMISC::CVector</a> &amp;&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>pos</em>, </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td></td>
+ <td class="md" nowrap>float&nbsp;</td>
+ <td class="mdname" nowrap>&nbsp; <em>size</em></td>
+ </tr>
+ <tr>
+ <td></td>
+ <td class="md">)&nbsp;</td>
+ <td class="md" colspan="2"><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+display a string at the given position. The model matrix must be restored after this call.
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00232">232</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+References <a class="el" href="debug_8h-source.html#l00254">nlassert</a>. </td>
+ </tr>
+</table>
+<a name="f4" doxytag="NL3D::CPSUtil::registerAttribs"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::registerAttribs </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [static, private]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__register__attribs_8cpp-source.html#l00040">40</a> of file <a class="el" href="ps__register__attribs_8cpp-source.html">ps_register_attribs.cpp</a>.
+<p>
+References <a class="el" href="ps__color_8cpp-source.html#l00047">NL3D::PSRegisterColorAttribs</a>, <a class="el" href="ps__float_8cpp-source.html#l00199">NL3D::PSRegisterFloatAttribs</a>, <a class="el" href="ps__int_8cpp-source.html#l00054">NL3D::PSRegisterIntAttribs</a>, and <a class="el" href="ps__plane__basis__maker_8cpp-source.html#l00253">NL3D::PSRegisterPlaneBasisAttribs</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00095">registerSerialParticleSystem</a>. </td>
+ </tr>
+</table>
+<a name="f2" doxytag="NL3D::CPSUtil::registerEmitters"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::registerEmitters </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [static, private]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__register__emitters_8cpp-source.html#l00035">35</a> of file <a class="el" href="ps__register__emitters_8cpp-source.html">ps_register_emitters.cpp</a>.
+<p>
+References <a class="el" href="class__registry_8h-source.html#l00123">NLMISC_REGISTER_CLASS</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00095">registerSerialParticleSystem</a>. </td>
+ </tr>
+</table>
+<a name="f0" doxytag="NL3D::CPSUtil::registerForces"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::registerForces </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [static, private]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__register__forces_8cpp-source.html#l00035">35</a> of file <a class="el" href="ps__register__forces_8cpp-source.html">ps_register_forces.cpp</a>.
+<p>
+References <a class="el" href="class__registry_8h-source.html#l00123">NLMISC_REGISTER_CLASS</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00095">registerSerialParticleSystem</a>. </td>
+ </tr>
+</table>
+<a name="f1" doxytag="NL3D::CPSUtil::registerParticles"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::registerParticles </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [static, private]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__register__particles_8cpp-source.html#l00036">36</a> of file <a class="el" href="ps__register__particles_8cpp-source.html">ps_register_particles.cpp</a>.
+<p>
+References <a class="el" href="class__registry_8h-source.html#l00123">NLMISC_REGISTER_CLASS</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00095">registerSerialParticleSystem</a>. </td>
+ </tr>
+</table>
+<a name="d0" doxytag="NL3D::CPSUtil::registerSerialParticleSystem"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::registerSerialParticleSystem </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="md" nowrap valign="top">void&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [static]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+register the classes of the system mus be called when serializing.
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00095">95</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+References <a class="el" href="ps__util_8cpp-source.html#l00081">initFastCosNSinTable</a>, <a class="el" href="ps__util_8cpp-source.html#l00069">initPerlinNoiseTable</a>, <a class="el" href="class__registry_8h-source.html#l00123">NLMISC_REGISTER_CLASS</a>, <a class="el" href="ps__register__attribs_8cpp-source.html#l00040">registerAttribs</a>, <a class="el" href="ps__register__emitters_8cpp-source.html#l00035">registerEmitters</a>, <a class="el" href="ps__register__forces_8cpp-source.html#l00035">registerForces</a>, <a class="el" href="ps__register__particles_8cpp-source.html#l00036">registerParticles</a>, and <a class="el" href="ps__register__zones_8cpp-source.html#l00035">registerZones</a>. </td>
+ </tr>
+</table>
+<a name="f3" doxytag="NL3D::CPSUtil::registerZones"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> void NL3D::CPSUtil::registerZones </td>
+ <td class="md" valign="top">(&nbsp;</td>
+ <td class="mdname1" valign="top" nowrap>&nbsp; </td>
+ <td class="md" valign="top">)&nbsp;</td>
+ <td class="md" nowrap><code> [static, private]</code></td>
+ </tr>
+
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__register__zones_8cpp-source.html#l00035">35</a> of file <a class="el" href="ps__register__zones_8cpp-source.html">ps_register_zones.cpp</a>.
+<p>
+References <a class="el" href="class__registry_8h-source.html#l00123">NLMISC_REGISTER_CLASS</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00095">registerSerialParticleSystem</a>. </td>
+ </tr>
+</table>
+<hr><h2>Member Data Documentation</h2>
+<a name="r2" doxytag="NL3D::CPSUtil::_CosTable"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> float NL3D::CPSUtil::_CosTable<code> [static, private]</code>
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00061">61</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00081">initFastCosNSinTable</a>. </td>
+ </tr>
+</table>
+<a name="r0" doxytag="NL3D::CPSUtil::_CosTableInitialized"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> bool NL3D::CPSUtil::_CosTableInitialized = false<code> [static, private]</code>
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00057">57</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00081">initFastCosNSinTable</a>. </td>
+ </tr>
+</table>
+<a name="r4" doxytag="NL3D::CPSUtil::_PerlinNoiseTab"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> float NL3D::CPSUtil::_PerlinNoiseTab<code> [static, private]</code>
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00063">63</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8h-source.html#l00185">getPerlinNoise</a>, and <a class="el" href="ps__util_8cpp-source.html#l00069">initPerlinNoiseTable</a>. </td>
+ </tr>
+</table>
+<a name="r1" doxytag="NL3D::CPSUtil::_PerlinNoiseTableInitialized"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> bool NL3D::CPSUtil::_PerlinNoiseTableInitialized = false<code> [static, private]</code>
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00058">58</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8h-source.html#l00237">buildPerlinNoise</a>, and <a class="el" href="ps__util_8cpp-source.html#l00069">initPerlinNoiseTable</a>. </td>
+ </tr>
+</table>
+<a name="r3" doxytag="NL3D::CPSUtil::_SinTable"></a><p>
+<table width="100%" cellpadding="2" cellspacing="0" border="0">
+ <tr>
+ <td class="md">
+ <table cellpadding="0" cellspacing="0" border="0">
+ <tr>
+ <td class="md" nowrap valign="top"> float NL3D::CPSUtil::_SinTable<code> [static, private]</code>
+ </table>
+ </td>
+ </tr>
+</table>
+<table cellspacing=5 cellpadding=0 border=0>
+ <tr>
+ <td>
+ &nbsp;
+ </td>
+ <td>
+
+<p>
+
+<p>
+Definition at line <a class="el" href="ps__util_8cpp-source.html#l00062">62</a> of file <a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a>.
+<p>
+Referenced by <a class="el" href="ps__util_8cpp-source.html#l00081">initFastCosNSinTable</a>. </td>
+ </tr>
+</table>
+<hr>The documentation for this struct was generated from the following files:<ul>
+<li><a class="el" href="ps__util_8h-source.html">ps_util.h</a><li><a class="el" href="ps__register__attribs_8cpp-source.html">ps_register_attribs.cpp</a><li><a class="el" href="ps__register__emitters_8cpp-source.html">ps_register_emitters.cpp</a><li><a class="el" href="ps__register__forces_8cpp-source.html">ps_register_forces.cpp</a><li><a class="el" href="ps__register__particles_8cpp-source.html">ps_register_particles.cpp</a><li><a class="el" href="ps__register__zones_8cpp-source.html">ps_register_zones.cpp</a><li><a class="el" href="ps__util_8cpp-source.html">ps_util.cpp</a></ul>
+
+
+<!-- footer -->
+<BR><FONT Size=+5>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; </FONT>
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