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  <div class="headertitle"><div class="title">ClosestPoint Namespace Reference</div></div>
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<p>Helper utils to find the closest point to a line segment, triangle or tetrahedron.  
<a href="#details">More...</a></p>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a194f91c80641bfd1071c5316705a2c85" id="r_a194f91c80641bfd1071c5316705a2c85"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a194f91c80641bfd1071c5316705a2c85">GetBaryCentricCoordinates</a> (<a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inA, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inB, float &amp;outU, float &amp;outV)</td></tr>
<tr class="separator:a194f91c80641bfd1071c5316705a2c85"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae01251b466c3944d7c9cc6a9e01ce915" id="r_ae01251b466c3944d7c9cc6a9e01ce915"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae01251b466c3944d7c9cc6a9e01ce915">GetBaryCentricCoordinates</a> (<a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inA, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inB, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inC, float &amp;outU, float &amp;outV, float &amp;outW)</td></tr>
<tr class="separator:ae01251b466c3944d7c9cc6a9e01ce915"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad687ef98922a03b7128a5d3a5a64ab39" id="r_ad687ef98922a03b7128a5d3a5a64ab39"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_vec3.html">Vec3</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad687ef98922a03b7128a5d3a5a64ab39">GetClosestPointOnLine</a> (<a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inA, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inB, <a class="el" href="_core_8h.html#a8f95e75e58492e87412191fabadd8ca8">uint32</a> &amp;outSet)</td></tr>
<tr class="separator:ad687ef98922a03b7128a5d3a5a64ab39"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a25fcaaf786d8724b11d02406ab74e0bc" id="r_a25fcaaf786d8724b11d02406ab74e0bc"><td class="memTemplParams" colspan="2">template&lt;bool MustIncludeC = false&gt; </td></tr>
<tr class="memitem:a25fcaaf786d8724b11d02406ab74e0bc"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="class_vec3.html">Vec3</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a25fcaaf786d8724b11d02406ab74e0bc">GetClosestPointOnTriangle</a> (<a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inA, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inB, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inC, <a class="el" href="_core_8h.html#a8f95e75e58492e87412191fabadd8ca8">uint32</a> &amp;outSet)</td></tr>
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<tr class="memitem:ad4bc500e8c3ea1bc2b2bc1a289408f1b" id="r_ad4bc500e8c3ea1bc2b2bc1a289408f1b"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad4bc500e8c3ea1bc2b2bc1a289408f1b">OriginOutsideOfPlane</a> (<a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inA, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inB, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inC, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inD)</td></tr>
<tr class="memdesc:ad4bc500e8c3ea1bc2b2bc1a289408f1b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Check if the origin is outside the plane of triangle (inA, inB, inC). inD specifies the front side of the plane.  <br /></td></tr>
<tr class="separator:ad4bc500e8c3ea1bc2b2bc1a289408f1b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7221bb45d1aec01527f66683bf2611e0" id="r_a7221bb45d1aec01527f66683bf2611e0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="class_u_vec4.html">UVec4</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a7221bb45d1aec01527f66683bf2611e0">OriginOutsideOfTetrahedronPlanes</a> (<a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inA, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inB, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inC, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inD)</td></tr>
<tr class="separator:a7221bb45d1aec01527f66683bf2611e0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abafebdbe3dea0fe6674c20fc9ccc8540" id="r_abafebdbe3dea0fe6674c20fc9ccc8540"><td class="memTemplParams" colspan="2">template&lt;bool MustIncludeD = false&gt; </td></tr>
<tr class="memitem:abafebdbe3dea0fe6674c20fc9ccc8540"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="class_vec3.html">Vec3</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#abafebdbe3dea0fe6674c20fc9ccc8540">GetClosestPointOnTetrahedron</a> (<a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inA, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inB, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inC, <a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a> inD, <a class="el" href="_core_8h.html#a8f95e75e58492e87412191fabadd8ca8">uint32</a> &amp;outSet)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Helper utils to find the closest point to a line segment, triangle or tetrahedron. </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a194f91c80641bfd1071c5316705a2c85" name="a194f91c80641bfd1071c5316705a2c85"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a194f91c80641bfd1071c5316705a2c85">&#9670;&#160;</a></span>GetBaryCentricCoordinates() <span class="overload">[1/2]</span></h2>

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          <td class="memname">bool ClosestPoint::GetBaryCentricCoordinates </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inA</em></span>, </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inB</em></span>, </td>
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          <td class="paramtype">float &amp;</td>          <td class="paramname"><span class="paramname"><em>outU</em></span>, </td>
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          <td class="paramtype">float &amp;</td>          <td class="paramname"><span class="paramname"><em>outV</em></span>&#160;)</td>
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<p>Compute barycentric coordinates of closest point to origin for infinite line defined by (inA, inB) Point can then be computed as inA * outU + inB * outV Returns false if the points inA, inB do not form a line (are at the same point) </p>

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<h2 class="memtitle"><span class="permalink"><a href="#ae01251b466c3944d7c9cc6a9e01ce915">&#9670;&#160;</a></span>GetBaryCentricCoordinates() <span class="overload">[2/2]</span></h2>

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          <td class="memname">bool ClosestPoint::GetBaryCentricCoordinates </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inA</em></span>, </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inB</em></span>, </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inC</em></span>, </td>
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          <td class="paramtype">float &amp;</td>          <td class="paramname"><span class="paramname"><em>outU</em></span>, </td>
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          <td class="paramtype">float &amp;</td>          <td class="paramname"><span class="paramname"><em>outV</em></span>, </td>
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<p>Compute barycentric coordinates of closest point to origin for plane defined by (inA, inB, inC) Point can then be computed as inA * outU + inB * outV + inC * outW Returns false if the points inA, inB, inC do not form a plane (are on the same line or at the same point) </p>

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<h2 class="memtitle"><span class="permalink"><a href="#ad687ef98922a03b7128a5d3a5a64ab39">&#9670;&#160;</a></span>GetClosestPointOnLine()</h2>

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          <td class="memname"><a class="el" href="class_vec3.html">Vec3</a> ClosestPoint::GetClosestPointOnLine </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inA</em></span>, </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inB</em></span>, </td>
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          <td class="paramtype"><a class="el" href="_core_8h.html#a8f95e75e58492e87412191fabadd8ca8">uint32</a> &amp;</td>          <td class="paramname"><span class="paramname"><em>outSet</em></span>&#160;)</td>
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<p>Get the closest point to the origin of line (inA, inB) outSet describes which features are closest: 1 = a, 2 = b, 3 = line segment ab </p>

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<h2 class="memtitle"><span class="permalink"><a href="#abafebdbe3dea0fe6674c20fc9ccc8540">&#9670;&#160;</a></span>GetClosestPointOnTetrahedron()</h2>

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template&lt;bool MustIncludeD = false&gt; </div>
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          <td class="memname"><a class="el" href="class_vec3.html">Vec3</a> ClosestPoint::GetClosestPointOnTetrahedron </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inA</em></span>, </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inB</em></span>, </td>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inD</em></span>, </td>
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<p>Get the closest point between tetrahedron (inA, inB, inC, inD) to the origin outSet specifies which feature was closest, 1 = a, 2 = b, 4 = c, 8 = d. Edges have 2 bits set, triangles 3 and if the point is in the interior 4 bits are set. If MustIncludeD is true, the function assumes that D is part of the closest feature (vertex, edge, face, tetrahedron) and does less work, if the assumption is not true then a closest point to the other features is returned. </p>

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<h2 class="memtitle"><span class="permalink"><a href="#a25fcaaf786d8724b11d02406ab74e0bc">&#9670;&#160;</a></span>GetClosestPointOnTriangle()</h2>

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template&lt;bool MustIncludeC = false&gt; </div>
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          <td class="paramtype"><a class="el" href="_math_types_8h.html#a6bc57c31f15cea47640b580d03737c68">Vec3Arg</a></td>          <td class="paramname"><span class="paramname"><em>inA</em></span>, </td>
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          <td class="paramtype"><a class="el" href="_core_8h.html#a8f95e75e58492e87412191fabadd8ca8">uint32</a> &amp;</td>          <td class="paramname"><span class="paramname"><em>outSet</em></span>&#160;)</td>
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<p>Get the closest point to the origin of triangle (inA, inB, inC) outSet describes which features are closest: 1 = a, 2 = b, 4 = c, 5 = line segment ac, 7 = triangle interior etc. If MustIncludeC is true, the function assumes that C is part of the closest feature (vertex, edge, face) and does less work, if the assumption is not true then a closest point to the other features is returned. </p>

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<h2 class="memtitle"><span class="permalink"><a href="#ad4bc500e8c3ea1bc2b2bc1a289408f1b">&#9670;&#160;</a></span>OriginOutsideOfPlane()</h2>

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<p>Check if the origin is outside the plane of triangle (inA, inB, inC). inD specifies the front side of the plane. </p>

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<h2 class="memtitle"><span class="permalink"><a href="#a7221bb45d1aec01527f66683bf2611e0">&#9670;&#160;</a></span>OriginOutsideOfTetrahedronPlanes()</h2>

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          <td class="memname"><a class="el" href="class_u_vec4.html">UVec4</a> ClosestPoint::OriginOutsideOfTetrahedronPlanes </td>
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<p>Returns for each of the planes of the tetrahedron if the origin is inside it Roughly equivalent to: [OriginOutsideOfPlane(inA, inB, inC, inD), OriginOutsideOfPlane(inA, inC, inD, inB), OriginOutsideOfPlane(inA, inD, inB, inC), OriginOutsideOfPlane(inB, inD, inC, inA)] </p>

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