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<article data-uid="Hi.Milling.Apts.AptDerivative">
<h1 id="Hi_Milling_Apts_AptDerivative" data-uid="Hi.Milling.Apts.AptDerivative" class="text-break">
Class AptDerivative
</h1>
<div class="facts text-secondary">
<dl><dt>Namespace</dt><dd><a class="xref" href="Hi.html">Hi</a>.<a class="xref" href="Hi.Milling.html">Milling</a>.<a class="xref" href="Hi.Milling.Apts.html">Apts</a></dd></dl>
<dl><dt>Assembly</dt><dd>HiCbtr.dll</dd></dl>
</div>
<div class="markdown summary"><p>Apt derivative.</p>
</div>
<div class="markdown conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public class AptDerivative : IExpandToBox3d, IGetZrContour, IGenStl</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">AptDerivative</span></div>
</dd>
</dl>
<dl class="typelist implements">
<dt>Implements</dt>
<dd>
<div><a class="xref" href="Hi.Geom.IExpandToBox3d.html">IExpandToBox3d</a></div>
<div><a class="xref" href="Hi.Geom.IGetZrContour.html">IGetZrContour</a></div>
<div><a class="xref" href="Hi.Geom.IGenStl.html">IGenStl</a></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>
<dl class="typelist extensionMethods">
<dt>Extension Methods</dt>
<dd>
<div>
<a class="xref" href="Hi.Common.DuplicateUtil.html#Hi_Common_DuplicateUtil_TryDuplicate__1___0_System_Object___">DuplicateUtil.TryDuplicate&lt;TSelf&gt;(TSelf, params object[])</a>
</div>
<div>
<a class="xref" href="Hi.Common.InvokeUtil.html#Hi_Common_InvokeUtil_SelfInvoke__1___0_System_Action___0__">InvokeUtil.SelfInvoke&lt;TSrc&gt;(TSrc, Action&lt;TSrc&gt;)</a>
</div>
<div>
<a class="xref" href="Hi.Common.InvokeUtil.html#Hi_Common_InvokeUtil_SelfInvoke__2___0_System_Func___0___1__">InvokeUtil.SelfInvoke&lt;TSrc, TDst&gt;(TSrc, Func&lt;TSrc, TDst&gt;)</a>
</div>
<div>
<a class="xref" href="Hi.Coloring.ColorUtil.html#Hi_Coloring_ColorUtil_GetGloomyColor_System_Object_System_Double_System_Double_">ColorUtil.GetGloomyColor(object, double, double)</a>
</div>
<div>
<a class="xref" href="Hi.Common.NameUtil.html#Hi_Common_NameUtil_GetSelectionName_System_Object_">NameUtil.GetSelectionName(object)</a>
</div>
<div>
<a class="xref" href="Hi.Common.StringUtil.html#Hi_Common_StringUtil_GetPropertyStringIfToStringNotOverloaded_System_Object_System_Boolean_System_Boolean_">StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool)</a>
</div>
<div>
<a class="xref" href="Hi.Parallels.LockUtil.html#Hi_Parallels_LockUtil_Lock_System_Object_">LockUtil.Lock(object)</a>
</div>
</dd></dl>
<h2 class="section" id="constructors">Constructors
</h2>
<a id="Hi_Milling_Apts_AptDerivative__ctor_" data-uid="Hi.Milling.Apts.AptDerivative.#ctor*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative__ctor_Hi_Milling_Apts_GeneralApt_" data-uid="Hi.Milling.Apts.AptDerivative.#ctor(Hi.Milling.Apts.GeneralApt)">
AptDerivative(GeneralApt)
</h3>
<div class="markdown level1 summary"><p>Ctor.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public AptDerivative(GeneralApt apt)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>apt</code> <a class="xref" href="Hi.Milling.Apts.GeneralApt.html">GeneralApt</a></dt>
<dd><p>apt</p>
</dd>
</dl>
<h2 class="section" id="properties">Properties
</h2>
<a id="Hi_Milling_Apts_AptDerivative_Apt_" data-uid="Hi.Milling.Apts.AptDerivative.Apt*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_Apt" data-uid="Hi.Milling.Apts.AptDerivative.Apt">
Apt
</h3>
<div class="markdown level1 summary"><p>Gets the general APT.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public GeneralApt Apt { get; }</code></pre>
</div>
<h4 class="section">Property Value</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Milling.Apts.GeneralApt.html">GeneralApt</a></dt>
<dd></dd>
</dl>
<a id="Hi_Milling_Apts_AptDerivative_CosAlpha_" data-uid="Hi.Milling.Apts.AptDerivative.CosAlpha*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_CosAlpha" data-uid="Hi.Milling.Apts.AptDerivative.CosAlpha">
CosAlpha
</h3>
<div class="markdown level1 summary"><p>Gets the cosine of Alpha angle.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double CosAlpha { get; }</code></pre>
</div>
<h4 class="section">Property Value</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_Milling_Apts_AptDerivative_CosBeta_" data-uid="Hi.Milling.Apts.AptDerivative.CosBeta*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_CosBeta" data-uid="Hi.Milling.Apts.AptDerivative.CosBeta">
CosBeta
</h3>
<div class="markdown level1 summary"><p>Gets the cosine of Beta angle.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double CosBeta { get; }</code></pre>
</div>
<h4 class="section">Property Value</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_Milling_Apts_AptDerivative_DefaultPolarResolution2d_" data-uid="Hi.Milling.Apts.AptDerivative.DefaultPolarResolution2d*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_DefaultPolarResolution2d" data-uid="Hi.Milling.Apts.AptDerivative.DefaultPolarResolution2d">
DefaultPolarResolution2d
</h3>
<div class="markdown level1 summary"></div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static IPolarResolution2d DefaultPolarResolution2d { get; set; }</code></pre>
</div>
<h4 class="section">Property Value</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Resolution.IPolarResolution2d.html">IPolarResolution2d</a></dt>
<dd></dd>
</dl>
<a id="Hi_Milling_Apts_AptDerivative_Mr_" data-uid="Hi.Milling.Apts.AptDerivative.Mr*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_Mr" data-uid="Hi.Milling.Apts.AptDerivative.Mr">
Mr
</h3>
<div class="markdown level1 summary"><p>Gets the radial coordinate of point M.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double Mr { get; }</code></pre>
</div>
<h4 class="section">Property Value</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_Milling_Apts_AptDerivative_Mz_" data-uid="Hi.Milling.Apts.AptDerivative.Mz*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_Mz" data-uid="Hi.Milling.Apts.AptDerivative.Mz">
Mz
</h3>
<div class="markdown level1 summary"><p>Gets the Z-coordinate of point M.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double Mz { get; }</code></pre>
</div>
<h4 class="section">Property Value</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_Milling_Apts_AptDerivative_Nr_" data-uid="Hi.Milling.Apts.AptDerivative.Nr*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_Nr" data-uid="Hi.Milling.Apts.AptDerivative.Nr">
Nr
</h3>
<div class="markdown level1 summary"><p>Gets the radial coordinate of point N.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double Nr { get; }</code></pre>
</div>
<h4 class="section">Property Value</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_Milling_Apts_AptDerivative_Nz_" data-uid="Hi.Milling.Apts.AptDerivative.Nz*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_Nz" data-uid="Hi.Milling.Apts.AptDerivative.Nz">
Nz
</h3>
<div class="markdown level1 summary"><p>Gets the Z-coordinate of point N.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double Nz { get; }</code></pre>
</div>
<h4 class="section">Property Value</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_Milling_Apts_AptDerivative_SinAlpha_" data-uid="Hi.Milling.Apts.AptDerivative.SinAlpha*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_SinAlpha" data-uid="Hi.Milling.Apts.AptDerivative.SinAlpha">
SinAlpha
</h3>
<div class="markdown level1 summary"><p>Gets the sine of Alpha angle.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double SinAlpha { get; }</code></pre>
</div>
<h4 class="section">Property Value</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_Milling_Apts_AptDerivative_SinBeta_" data-uid="Hi.Milling.Apts.AptDerivative.SinBeta*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_SinBeta" data-uid="Hi.Milling.Apts.AptDerivative.SinBeta">
SinBeta
</h3>
<div class="markdown level1 summary"><p>Gets the sine of Beta angle.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double SinBeta { get; }</code></pre>
</div>
<h4 class="section">Property Value</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_Milling_Apts_AptDerivative_TanAlpha_" data-uid="Hi.Milling.Apts.AptDerivative.TanAlpha*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_TanAlpha" data-uid="Hi.Milling.Apts.AptDerivative.TanAlpha">
TanAlpha
</h3>
<div class="markdown level1 summary"><p>Gets the tangent of Alpha angle.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double TanAlpha { get; }</code></pre>
</div>
<h4 class="section">Property Value</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_Milling_Apts_AptDerivative_TanBeta_" data-uid="Hi.Milling.Apts.AptDerivative.TanBeta*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_TanBeta" data-uid="Hi.Milling.Apts.AptDerivative.TanBeta">
TanBeta
</h3>
<div class="markdown level1 summary"><p>Gets the tangent of Beta angle.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double TanBeta { get; }</code></pre>
</div>
<h4 class="section">Property Value</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd></dd>
</dl>
<h2 class="section" id="methods">Methods
</h2>
<a id="Hi_Milling_Apts_AptDerivative_ExpandToBox3d_" data-uid="Hi.Milling.Apts.AptDerivative.ExpandToBox3d*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_ExpandToBox3d_Hi_Geom_Box3d_" data-uid="Hi.Milling.Apts.AptDerivative.ExpandToBox3d(Hi.Geom.Box3d)">
ExpandToBox3d(Box3d)
</h3>
<div class="markdown level1 summary"><p>Expands the destination box.
This function is usually used to compute the bounding box of elements.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public void ExpandToBox3d(Box3d dst)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>dst</code> <a class="xref" href="Hi.Geom.Box3d.html">Box3d</a></dt>
<dd><p>Destination box</p>
</dd>
</dl>
<a id="Hi_Milling_Apts_AptDerivative_GenStl_" data-uid="Hi.Milling.Apts.AptDerivative.GenStl*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_GenStl_Hi_Geom_Resolution_IPolarResolution2d_" data-uid="Hi.Milling.Apts.AptDerivative.GenStl(Hi.Geom.Resolution.IPolarResolution2d)">
GenStl(IPolarResolution2d)
</h3>
<div class="markdown level1 summary"><p>Generate a new Stl.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public Stl GenStl(IPolarResolution2d resolution)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>resolution</code> <a class="xref" href="Hi.Geom.Resolution.IPolarResolution2d.html">IPolarResolution2d</a></dt>
<dd></dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Stl.html">Stl</a></dt>
<dd><p>newly created Stl</p>
</dd>
</dl>
<a id="Hi_Milling_Apts_AptDerivative_GetNormal_" data-uid="Hi.Milling.Apts.AptDerivative.GetNormal*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_GetNormal_System_Double_System_Double_" data-uid="Hi.Milling.Apts.AptDerivative.GetNormal(System.Double,System.Double)">
GetNormal(double, double)
</h3>
<div class="markdown level1 summary"><p>Get Normal Vector by height and angle.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public Vec3d GetNormal(double z, double rad)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>z</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>height</p>
</dd>
<dt><code>rad</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>x-axis is begin; z-axis is principle</p>
</dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Vec3d.html">Vec3d</a></dt>
<dd></dd>
</dl>
<a id="Hi_Milling_Apts_AptDerivative_GetRadius_" data-uid="Hi.Milling.Apts.AptDerivative.GetRadius*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_GetRadius_System_Double_" data-uid="Hi.Milling.Apts.AptDerivative.GetRadius(System.Double)">
GetRadius(double)
</h3>
<div class="markdown level1 summary"><p>Get Radius by z.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public double GetRadius(double z)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>z</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>z</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>radius at z</p>
</dd>
</dl>
<a id="Hi_Milling_Apts_AptDerivative_GetZrContour_" data-uid="Hi.Milling.Apts.AptDerivative.GetZrContour*"></a>
<h3 id="Hi_Milling_Apts_AptDerivative_GetZrContour_System_Double_" data-uid="Hi.Milling.Apts.AptDerivative.GetZrContour(System.Double)">
GetZrContour(double)
</h3>
<div class="markdown level1 summary"><p>Gets Z-R contour data as a list of PairZr objects.
The Z values should generally be ordered from smallest to largest.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public IList&lt;PairZr&gt; GetZrContour(double latitudeAngleResolution_rad)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>latitudeAngleResolution_rad</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
<dd><p>Resolution of latitude angle in radians</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.ilist-1">IList</a>&lt;<a class="xref" href="Hi.Geom.PairZr.html">PairZr</a>&gt;</dt>
<dd><p>Z-R contour data as a list of PairZr objects</p>
</dd>
</dl>
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