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<article data-uid="Hi.Geom.PairZrUtil">
<h1 id="Hi_Geom_PairZrUtil" data-uid="Hi.Geom.PairZrUtil" class="text-break">
Class PairZrUtil
</h1>
<div class="facts text-secondary">
<dl><dt>Namespace</dt><dd><a class="xref" href="Hi.html">Hi</a>.<a class="xref" href="Hi.Geom.html">Geom</a></dd></dl>
<dl><dt>Assembly</dt><dd>HiGeom.dll</dd></dl>
</div>
<div class="markdown summary"><p>Utility class for working with PairZr objects</p>
</div>
<div class="markdown conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static class PairZrUtil</code></pre>
</div>
<dl class="typelist inheritance">
<dt>Inheritance</dt>
<dd>
<div><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a></div>
<div><span class="xref">PairZrUtil</span></div>
</dd>
</dl>
<dl class="typelist inheritedMembers">
<dt>Inherited Members</dt>
<dd>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object)">object.Equals(object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object-system-object)">object.Equals(object, object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gethashcode">object.GetHashCode()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gettype">object.GetType()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.memberwiseclone">object.MemberwiseClone()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.referenceequals">object.ReferenceEquals(object, object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.tostring">object.ToString()</a>
</div>
</dd></dl>
<h2 class="section" id="methods">Methods
</h2>
<a id="Hi_Geom_PairZrUtil_GetIntensiveZrs_" data-uid="Hi.Geom.PairZrUtil.GetIntensiveZrs*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetIntensiveZrs_System_Collections_Generic_IEnumerable_Hi_Geom_PairZr__System_Double_" data-uid="Hi.Geom.PairZrUtil.GetIntensiveZrs(System.Collections.Generic.IEnumerable{Hi.Geom.PairZr},System.Double)">
GetIntensiveZrs(IEnumerable&lt;PairZr&gt;, double)
</h3>
<div class="markdown level1 summary"></div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static IEnumerable&lt;PairZr&gt; GetIntensiveZrs(this IEnumerable&lt;PairZr&gt; src, double ZResolution)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>src</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd></dd>
<dt><code>ZResolution</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd></dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd></dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetNormal2d_" data-uid="Hi.Geom.PairZrUtil.GetNormal2d*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetNormal2d_System_Collections_Generic_SortedList_System_Double_Hi_Geom_PairZr__System_Double_" data-uid="Hi.Geom.PairZrUtil.GetNormal2d(System.Collections.Generic.SortedList{System.Double,Hi.Geom.PairZr},System.Double)">
GetNormal2d(SortedList&lt;double, PairZr&gt;, double)
</h3>
<div class="markdown level1 summary"><p>Gets a 2D normal vector to the surface at the specified Z position</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static Vec2d GetNormal2d(this SortedList&lt;double, PairZr&gt; zVsPairZr, double z)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>zVsPairZr</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.sortedlist-2">SortedList</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>, <a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>The sorted list of PairZr objects defining the surface</p>
</dd>
<dt><code>z</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The Z position to get the normal vector for</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Vec2d.html">Vec2d</a></dt>
<dd><p>A 2D normal vector to the surface, or null if it cannot be calculated</p>
</dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetNormal2dByFittedZ_" data-uid="Hi.Geom.PairZrUtil.GetNormal2dByFittedZ*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetNormal2dByFittedZ_System_Collections_Generic_SortedList_System_Double_Hi_Geom_PairZr__System_Double_System_Double__" data-uid="Hi.Geom.PairZrUtil.GetNormal2dByFittedZ(System.Collections.Generic.SortedList{System.Double,Hi.Geom.PairZr},System.Double,System.Double@)">
GetNormal2dByFittedZ(SortedList&lt;double, PairZr&gt;, double, out double)
</h3>
<div class="markdown level1 summary"><p>Gets a 2D normal vector to the surface at the specified Z position, adjusted to fit within the Z range</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static Vec2d GetNormal2dByFittedZ(this SortedList&lt;double, PairZr&gt; zVsPairZr, double z, out double fittedZ)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>zVsPairZr</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.sortedlist-2">SortedList</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>, <a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>The sorted list of PairZr objects defining the surface</p>
</dd>
<dt><code>z</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The Z position to get the normal vector for</p>
</dd>
<dt><code>fittedZ</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Output parameter that receives the adjusted Z value that fits within the range</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Vec2d.html">Vec2d</a></dt>
<dd><p>A 2D normal vector to the surface, or null if it cannot be calculated</p>
</dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetRByZ_" data-uid="Hi.Geom.PairZrUtil.GetRByZ*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetRByZ_System_Collections_Generic_List_Hi_Geom_PairZr__System_Double_" data-uid="Hi.Geom.PairZrUtil.GetRByZ(System.Collections.Generic.List{Hi.Geom.PairZr},System.Double)">
GetRByZ(List&lt;PairZr&gt;, double)
</h3>
<div class="markdown level1 summary"><p>Gets the R value at a specified Z position by interpolating between PairZr objects in a list</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static double GetRByZ(this List&lt;PairZr&gt; zVsPairZr, double z)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>zVsPairZr</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.list-1">List</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>The list of PairZr objects</p>
</dd>
<dt><code>z</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The Z position to get the R value for</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The interpolated R value at the specified Z position, or NaN if interpolation is not possible</p>
</dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetRByZ_" data-uid="Hi.Geom.PairZrUtil.GetRByZ*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetRByZ_System_Collections_Generic_SortedList_System_Double_Hi_Geom_PairZr__System_Double_" data-uid="Hi.Geom.PairZrUtil.GetRByZ(System.Collections.Generic.SortedList{System.Double,Hi.Geom.PairZr},System.Double)">
GetRByZ(SortedList&lt;double, PairZr&gt;, double)
</h3>
<div class="markdown level1 summary"><p>Gets the R value at a specified Z position by interpolating between PairZr objects in a sorted list</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static double GetRByZ(this SortedList&lt;double, PairZr&gt; zVsPairZr, double z)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>zVsPairZr</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.sortedlist-2">SortedList</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>, <a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>The sorted list of PairZr objects keyed by Z values</p>
</dd>
<dt><code>z</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The Z position to get the R value for</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The interpolated R value at the specified Z position, or NaN if interpolation is not possible</p>
</dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetSurfaceVerticalArrow2d_" data-uid="Hi.Geom.PairZrUtil.GetSurfaceVerticalArrow2d*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetSurfaceVerticalArrow2d_System_Collections_Generic_List_Hi_Geom_PairZr__System_Double_" data-uid="Hi.Geom.PairZrUtil.GetSurfaceVerticalArrow2d(System.Collections.Generic.List{Hi.Geom.PairZr},System.Double)">
GetSurfaceVerticalArrow2d(List&lt;PairZr&gt;, double)
</h3>
<div class="markdown level1 summary"><p>Gets a 2D vector perpendicular to the surface at the specified Z position</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static Vec2d GetSurfaceVerticalArrow2d(this List&lt;PairZr&gt; zVsPairZr, double z)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>zVsPairZr</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.list-1">List</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>The list of PairZr objects defining the surface</p>
</dd>
<dt><code>z</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The Z position to get the vector for</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Vec2d.html">Vec2d</a></dt>
<dd><p>A 2D vector perpendicular to the surface, or null if it cannot be calculated</p>
</dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetSurfaceVerticalArrow2dByFittedZ_" data-uid="Hi.Geom.PairZrUtil.GetSurfaceVerticalArrow2dByFittedZ*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetSurfaceVerticalArrow2dByFittedZ_System_Collections_Generic_List_Hi_Geom_PairZr__System_Double_System_Double__" data-uid="Hi.Geom.PairZrUtil.GetSurfaceVerticalArrow2dByFittedZ(System.Collections.Generic.List{Hi.Geom.PairZr},System.Double,System.Double@)">
GetSurfaceVerticalArrow2dByFittedZ(List&lt;PairZr&gt;, double, out double)
</h3>
<div class="markdown level1 summary"><p>Gets a 2D vector perpendicular to the surface at the specified Z position, adjusted to fit within the Z range</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static Vec2d GetSurfaceVerticalArrow2dByFittedZ(this List&lt;PairZr&gt; zVsPairZr, double z, out double fittedZ)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>zVsPairZr</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.list-1">List</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>The list of PairZr objects defining the surface</p>
</dd>
<dt><code>z</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The Z position to get the vector for</p>
</dd>
<dt><code>fittedZ</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Output parameter that receives the adjusted Z value that fits within the range</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Vec2d.html">Vec2d</a></dt>
<dd><p>A 2D vector perpendicular to the surface, or null if it cannot be calculated</p>
</dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetSurfaceVerticalArrow3dByFittedZ_" data-uid="Hi.Geom.PairZrUtil.GetSurfaceVerticalArrow3dByFittedZ*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetSurfaceVerticalArrow3dByFittedZ_System_Collections_Generic_List_Hi_Geom_PairZr__System_Double_System_Double_System_Double__" data-uid="Hi.Geom.PairZrUtil.GetSurfaceVerticalArrow3dByFittedZ(System.Collections.Generic.List{Hi.Geom.PairZr},System.Double,System.Double,System.Double@)">
GetSurfaceVerticalArrow3dByFittedZ(List&lt;PairZr&gt;, double, double, out double)
</h3>
<div class="markdown level1 summary"><p>Gets a 3D vector perpendicular to the surface at the specified Z position, adjusted to fit within the Z range</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static Vec3d GetSurfaceVerticalArrow3dByFittedZ(this List&lt;PairZr&gt; zVsPairZr, double z, double angle_rad, out double fittedZ)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>zVsPairZr</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.list-1">List</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>The list of PairZr objects defining the surface</p>
</dd>
<dt><code>z</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The Z position to get the vector for</p>
</dd>
<dt><code>angle_rad</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The angle in radians to position the vector around the Z axis</p>
</dd>
<dt><code>fittedZ</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Output parameter that receives the adjusted Z value that fits within the range</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Vec3d.html">Vec3d</a></dt>
<dd><p>A 3D vector perpendicular to the surface, or null if it cannot be calculated</p>
</dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetVolume_" data-uid="Hi.Geom.PairZrUtil.GetVolume*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetVolume_Hi_Geom_IGetZrList_" data-uid="Hi.Geom.PairZrUtil.GetVolume(Hi.Geom.IGetZrList)">
GetVolume(IGetZrList)
</h3>
<div class="markdown level1 summary"><p>Calculates the volume of an object that implements IGetZrList</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static double GetVolume(this IGetZrList src)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>src</code> <a class="xref" href="Hi.Geom.IGetZrList.html">IGetZrList</a></dt>
<dd><p>The object that implements IGetZrList</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>The calculated volume, or 0 if the source is null</p>
</dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetVolume_" data-uid="Hi.Geom.PairZrUtil.GetVolume*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetVolume_System_Collections_Generic_IEnumerable_Hi_Geom_PairZr__" data-uid="Hi.Geom.PairZrUtil.GetVolume(System.Collections.Generic.IEnumerable{Hi.Geom.PairZr})">
GetVolume(IEnumerable&lt;PairZr&gt;)
</h3>
<div class="markdown level1 summary"><p>Get Volume. Assume the <code class="paramref">src</code>.Z is ascendent.
If Z descendent, the result may be negative.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static double GetVolume(this IEnumerable&lt;PairZr&gt; src)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>src</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd></dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd></dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetZrList_" data-uid="Hi.Geom.PairZrUtil.GetZrList*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetZrList_Hi_Geom_IGetStl_" data-uid="Hi.Geom.PairZrUtil.GetZrList(Hi.Geom.IGetStl)">
GetZrList(IGetStl)
</h3>
<div class="markdown level1 summary"><p>Extracts a list of PairZr objects from an object that implements IGetStl</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static List&lt;PairZr&gt; GetZrList(this IGetStl geom)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>geom</code> <a class="xref" href="Hi.Geom.IGetStl.html">IGetStl</a></dt>
<dd><p>The object that implements IGetStl</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.list-1">List</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>A list of PairZr objects, or null if the geometry is null</p>
</dd>
</dl>
<a id="Hi_Geom_PairZrUtil_GetZrList_" data-uid="Hi.Geom.PairZrUtil.GetZrList*"></a>
<h3 id="Hi_Geom_PairZrUtil_GetZrList_System_Collections_Generic_IEnumerable_Hi_Geom_Tri3d__" data-uid="Hi.Geom.PairZrUtil.GetZrList(System.Collections.Generic.IEnumerable{Hi.Geom.Tri3d})">
GetZrList(IEnumerable&lt;Tri3d&gt;)
</h3>
<div class="markdown level1 summary"><p>Extracts a list of PairZr objects from a collection of triangles</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static List&lt;PairZr&gt; GetZrList(this IEnumerable&lt;Tri3d&gt; tris)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>tris</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a>&lt;<a class="xref" href="Hi.Geom.Tri3d.html">Tri3d</a>&gt;</dt>
<dd><p>The collection of triangles</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.list-1">List</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>A list of PairZr objects ordered by Z value</p>
</dd>
</dl>
</article>
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