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<div class="textblock"><code>#include &quot;<a class="el" href="DetourCommon_8h_source.html">DetourCommon.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="DetourMath_8h_source.html">DetourMath.h</a>&quot;</code><br />
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a4895e82b2b41cc99acade7e8f88eba6e" id="r_a4895e82b2b41cc99acade7e8f88eba6e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#a4895e82b2b41cc99acade7e8f88eba6e">dtClosestPtPointTriangle</a> (float *closest, const float *p, const float *a, const float *b, const float *c)</td></tr>
<tr class="memdesc:a4895e82b2b41cc99acade7e8f88eba6e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Derives the closest point on a triangle from the specified reference point. <br /></td></tr>
<tr class="separator:a4895e82b2b41cc99acade7e8f88eba6e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5cb54b8f523d837ab0d99bf4acfc7e2a" id="r_a5cb54b8f523d837ab0d99bf4acfc7e2a"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#a5cb54b8f523d837ab0d99bf4acfc7e2a">dtIntersectSegmentPoly2D</a> (const float *p0, const float *p1, const float *verts, int nverts, float &amp;tmin, float &amp;tmax, int &amp;segMin, int &amp;segMax)</td></tr>
<tr class="separator:a5cb54b8f523d837ab0d99bf4acfc7e2a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a99afe0b6e77a0c800e9582faea87cf6d" id="r_a99afe0b6e77a0c800e9582faea87cf6d"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#a99afe0b6e77a0c800e9582faea87cf6d">dtDistancePtSegSqr2D</a> (const float *pt, const float *p, const float *q, float &amp;t)</td></tr>
<tr class="separator:a99afe0b6e77a0c800e9582faea87cf6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae5a2810aa8c6eeebde512561a1706515" id="r_ae5a2810aa8c6eeebde512561a1706515"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#ae5a2810aa8c6eeebde512561a1706515">dtCalcPolyCenter</a> (float *tc, const unsigned short *idx, int nidx, const float *verts)</td></tr>
<tr class="memdesc:ae5a2810aa8c6eeebde512561a1706515"><td class="mdescLeft">&#160;</td><td class="mdescRight">Derives the centroid of a convex polygon. <br /></td></tr>
<tr class="separator:ae5a2810aa8c6eeebde512561a1706515"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae04f7da639a87bf34242ff362e31bef4" id="r_ae04f7da639a87bf34242ff362e31bef4"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#ae04f7da639a87bf34242ff362e31bef4">dtClosestHeightPointTriangle</a> (const float *p, const float *a, const float *b, const float *c, float &amp;h)</td></tr>
<tr class="memdesc:ae04f7da639a87bf34242ff362e31bef4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Derives the y-axis height of the closest point on the triangle from the specified reference point. <br /></td></tr>
<tr class="separator:ae04f7da639a87bf34242ff362e31bef4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7b3806c429b5b231f316988edd4373aa" id="r_a7b3806c429b5b231f316988edd4373aa"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#a7b3806c429b5b231f316988edd4373aa">dtPointInPolygon</a> (const float *pt, const float *verts, const int nverts)</td></tr>
<tr class="memdesc:a7b3806c429b5b231f316988edd4373aa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Determines if the specified point is inside the convex polygon on the xz-plane. <br /></td></tr>
<tr class="separator:a7b3806c429b5b231f316988edd4373aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9364781fff515c2d8e1fe654e9491b5d" id="r_a9364781fff515c2d8e1fe654e9491b5d"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#a9364781fff515c2d8e1fe654e9491b5d">dtDistancePtPolyEdgesSqr</a> (const float *pt, const float *verts, const int nverts, float *ed, float *et)</td></tr>
<tr class="separator:a9364781fff515c2d8e1fe654e9491b5d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af6e917ef4b822dd1feee0665ebbc3bda" id="r_af6e917ef4b822dd1feee0665ebbc3bda"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#af6e917ef4b822dd1feee0665ebbc3bda">projectPoly</a> (const float *axis, const float *poly, const int npoly, float &amp;rmin, float &amp;rmax)</td></tr>
<tr class="separator:af6e917ef4b822dd1feee0665ebbc3bda"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab355890a2df99a19209f9bf12086fcb4" id="r_ab355890a2df99a19209f9bf12086fcb4"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#ab355890a2df99a19209f9bf12086fcb4">overlapRange</a> (const float amin, const float amax, const float bmin, const float bmax, const float eps)</td></tr>
<tr class="separator:ab355890a2df99a19209f9bf12086fcb4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5eb3e9100fdc574add9a344030161dfa" id="r_a5eb3e9100fdc574add9a344030161dfa"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#a5eb3e9100fdc574add9a344030161dfa">dtOverlapPolyPoly2D</a> (const float *polya, const int npolya, const float *polyb, const int npolyb)</td></tr>
<tr class="memdesc:a5eb3e9100fdc574add9a344030161dfa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Determines if the two convex polygons overlap on the xz-plane. <br /></td></tr>
<tr class="separator:a5eb3e9100fdc574add9a344030161dfa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a846b4291b0c9a3dde72c6979c428ffa3" id="r_a846b4291b0c9a3dde72c6979c428ffa3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#a846b4291b0c9a3dde72c6979c428ffa3">dtRandomPointInConvexPoly</a> (const float *pts, const int npts, float *areas, const float s, const float t, float *out)</td></tr>
<tr class="separator:a846b4291b0c9a3dde72c6979c428ffa3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8c5563632125a8e436ed0dff027370d4" id="r_a8c5563632125a8e436ed0dff027370d4"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#a8c5563632125a8e436ed0dff027370d4">vperpXZ</a> (const float *a, const float *b)</td></tr>
<tr class="separator:a8c5563632125a8e436ed0dff027370d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af683acdd2685f36cbfd62202251857df" id="r_af683acdd2685f36cbfd62202251857df"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="DetourCommon_8cpp.html#af683acdd2685f36cbfd62202251857df">dtIntersectSegSeg2D</a> (const float *ap, const float *aq, const float *bp, const float *bq, float &amp;s, float &amp;t)</td></tr>
<tr class="separator:af683acdd2685f36cbfd62202251857df"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<h2 class="groupheader">Function Documentation</h2>
<a id="ae5a2810aa8c6eeebde512561a1706515" name="ae5a2810aa8c6eeebde512561a1706515"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae5a2810aa8c6eeebde512561a1706515">&#9670;&#160;</a></span>dtCalcPolyCenter()</h2>
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<td class="memname">void dtCalcPolyCenter </td>
<td>(</td>
<td class="paramtype">float *&#160;</td>
<td class="paramname"><em>tc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const unsigned short *&#160;</td>
<td class="paramname"><em>idx</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>nidx</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>verts</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Derives the centroid of a convex polygon. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">tc</td><td>The centroid of the polgyon. [(x, y, z)] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">idx</td><td>The polygon indices. [(vertIndex) * <code>nidx</code>] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">nidx</td><td>The number of indices in the polygon. [Limit: &gt;= 3] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">verts</td><td>The polygon vertices. [(x, y, z) * vertCount] </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae04f7da639a87bf34242ff362e31bef4" name="ae04f7da639a87bf34242ff362e31bef4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae04f7da639a87bf34242ff362e31bef4">&#9670;&#160;</a></span>dtClosestHeightPointTriangle()</h2>
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<td class="memname">bool dtClosestHeightPointTriangle </td>
<td>(</td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>p</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>b</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>c</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float &amp;&#160;</td>
<td class="paramname"><em>h</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Derives the y-axis height of the closest point on the triangle from the specified reference point. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">p</td><td>The reference point from which to test. [(x, y, z)] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>Vertex A of triangle ABC. [(x, y, z)] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>Vertex B of triangle ABC. [(x, y, z)] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">c</td><td>Vertex C of triangle ABC. [(x, y, z)] </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">h</td><td>The resulting height. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4895e82b2b41cc99acade7e8f88eba6e">&#9670;&#160;</a></span>dtClosestPtPointTriangle()</h2>
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<td class="memname">void dtClosestPtPointTriangle </td>
<td>(</td>
<td class="paramtype">float *&#160;</td>
<td class="paramname"><em>closest</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>p</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>b</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>c</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Derives the closest point on a triangle from the specified reference point. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">closest</td><td>The closest point on the triangle. <br />
</td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">p</td><td>The reference point from which to test. [(x, y, z)] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>Vertex A of triangle ABC. [(x, y, z)] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>Vertex B of triangle ABC. [(x, y, z)] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">c</td><td>Vertex C of triangle ABC. [(x, y, z)] </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a9364781fff515c2d8e1fe654e9491b5d">&#9670;&#160;</a></span>dtDistancePtPolyEdgesSqr()</h2>
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<td class="memname">bool dtDistancePtPolyEdgesSqr </td>
<td>(</td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>pt</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>verts</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const int&#160;</td>
<td class="paramname"><em>nverts</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float *&#160;</td>
<td class="paramname"><em>ed</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float *&#160;</td>
<td class="paramname"><em>et</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a99afe0b6e77a0c800e9582faea87cf6d">&#9670;&#160;</a></span>dtDistancePtSegSqr2D()</h2>
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<td class="memname">float dtDistancePtSegSqr2D </td>
<td>(</td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>pt</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>p</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>q</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float &amp;&#160;</td>
<td class="paramname"><em>t</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a5cb54b8f523d837ab0d99bf4acfc7e2a">&#9670;&#160;</a></span>dtIntersectSegmentPoly2D()</h2>
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<td class="memname">bool dtIntersectSegmentPoly2D </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>p0</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>p1</em>, </td>
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<td></td>
<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>verts</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>nverts</em>, </td>
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<td></td>
<td class="paramtype">float &amp;&#160;</td>
<td class="paramname"><em>tmin</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">float &amp;&#160;</td>
<td class="paramname"><em>tmax</em>, </td>
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<td class="paramtype">int &amp;&#160;</td>
<td class="paramname"><em>segMin</em>, </td>
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<td class="paramtype">int &amp;&#160;</td>
<td class="paramname"><em>segMax</em>&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#af683acdd2685f36cbfd62202251857df">&#9670;&#160;</a></span>dtIntersectSegSeg2D()</h2>
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<td class="memname">bool dtIntersectSegSeg2D </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>ap</em>, </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>aq</em>, </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>bp</em>, </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>bq</em>, </td>
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<td></td>
<td class="paramtype">float &amp;&#160;</td>
<td class="paramname"><em>s</em>, </td>
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<td class="paramtype">float &amp;&#160;</td>
<td class="paramname"><em>t</em>&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a5eb3e9100fdc574add9a344030161dfa">&#9670;&#160;</a></span>dtOverlapPolyPoly2D()</h2>
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<td class="memname">bool dtOverlapPolyPoly2D </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>polya</em>, </td>
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<td class="paramtype">const int&#160;</td>
<td class="paramname"><em>npolya</em>, </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>polyb</em>, </td>
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<td class="paramtype">const int&#160;</td>
<td class="paramname"><em>npolyb</em>&#160;</td>
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<p>Determines if the two convex polygons overlap on the xz-plane. </p>
<dl class="section user"><dt></dt><dd></dd></dl>
<p>All vertices are projected onto the xz-plane, so the y-values are ignored. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a7b3806c429b5b231f316988edd4373aa">&#9670;&#160;</a></span>dtPointInPolygon()</h2>
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<td class="memname">bool dtPointInPolygon </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>pt</em>, </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>verts</em>, </td>
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<td class="paramtype">const int&#160;</td>
<td class="paramname"><em>nverts</em>&#160;</td>
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<p>Determines if the specified point is inside the convex polygon on the xz-plane. </p>
<dl class="section user"><dt></dt><dd></dd></dl>
<p>All points are projected onto the xz-plane, so the y-values are ignored. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a846b4291b0c9a3dde72c6979c428ffa3">&#9670;&#160;</a></span>dtRandomPointInConvexPoly()</h2>
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<td class="memname">void dtRandomPointInConvexPoly </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>pts</em>, </td>
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<td class="paramtype">const int&#160;</td>
<td class="paramname"><em>npts</em>, </td>
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<td class="paramtype">float *&#160;</td>
<td class="paramname"><em>areas</em>, </td>
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<td class="paramtype">const float&#160;</td>
<td class="paramname"><em>s</em>, </td>
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<td></td>
<td class="paramtype">const float&#160;</td>
<td class="paramname"><em>t</em>, </td>
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<td></td>
<td class="paramtype">float *&#160;</td>
<td class="paramname"><em>out</em>&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#ab355890a2df99a19209f9bf12086fcb4">&#9670;&#160;</a></span>overlapRange()</h2>
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<td class="memname">bool overlapRange </td>
<td>(</td>
<td class="paramtype">const float&#160;</td>
<td class="paramname"><em>amin</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float&#160;</td>
<td class="paramname"><em>amax</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float&#160;</td>
<td class="paramname"><em>bmin</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float&#160;</td>
<td class="paramname"><em>bmax</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const float&#160;</td>
<td class="paramname"><em>eps</em>&#160;</td>
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<td></td>
<td>)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#af6e917ef4b822dd1feee0665ebbc3bda">&#9670;&#160;</a></span>projectPoly()</h2>
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<td class="memname">static void projectPoly </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>axis</em>, </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>poly</em>, </td>
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<td class="paramtype">const int&#160;</td>
<td class="paramname"><em>npoly</em>, </td>
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<td class="paramtype">float &amp;&#160;</td>
<td class="paramname"><em>rmin</em>, </td>
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<td class="paramtype">float &amp;&#160;</td>
<td class="paramname"><em>rmax</em>&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a8c5563632125a8e436ed0dff027370d4">&#9670;&#160;</a></span>vperpXZ()</h2>
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<td class="memname">float vperpXZ </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramtype">const float *&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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