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      <meta name="description" content="Estimates the cutter setup angle from smart-holder moment samples and a known cutting parameter.  Physics: for a cutter whose flutes are all alike, mounting it turned by φ inside the holder changes the spindle-rotation-frame transverse moment series in two ways only — every (Mx, My) vector rotates by φ and the series shifts by φ along the rotation angle. The per-step begin-angle alignment the training pipeline already performs absorbs the shift, so φ survives solely as a constant planar rotation of the model&#39;s (Mx, My) against the measured (Mx, My); Mz, Fz and the workpiece-frame forces carry no information about it. The estimate is therefore a rotation-plus-scale (complex gain) Procrustes fit shared by all steps, with the begin-angle hypothesis chosen per step by brute force.   Identifiability: the angle is determined only modulo the flute pitch (360/N for N uniform flutes) and only when the transverse envelope is modulated within a revolution — light side cuts or intermittent contact; a full slot with several flutes engaged at once leaves the objective flat, which  exposes.">
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        <article data-uid="Hi.MillingForces.Training.SetupAngleEstimation">



  <h1 id="Hi_MillingForces_Training_SetupAngleEstimation" data-uid="Hi.MillingForces.Training.SetupAngleEstimation" class="text-break">
Class SetupAngleEstimation  
  </h1>

  <div class="facts text-secondary">
    <dl><dt>Namespace</dt><dd><a class="xref" href="Hi.html">Hi</a>.<a class="xref" href="Hi.MillingForces.html">MillingForces</a>.<a class="xref" href="Hi.MillingForces.Training.html">Training</a></dd></dl>
  <dl><dt>Assembly</dt><dd>HiNc.dll</dd></dl>
  </div>

  <div class="markdown summary"><p>Estimates the cutter setup angle from smart-holder moment samples and a
known cutting parameter.</p>
<p>
Physics: for a cutter whose flutes are all alike, mounting it turned by
φ inside the holder changes the spindle-rotation-frame transverse moment
series in two ways only — every (Mx, My) vector rotates by φ and the
series shifts by φ along the rotation angle. The per-step begin-angle
alignment the training pipeline already performs absorbs the shift, so
φ survives solely as a constant planar rotation of the model's (Mx, My)
against the measured (Mx, My); Mz, Fz and the workpiece-frame forces
carry no information about it. The estimate is therefore a
rotation-plus-scale (complex gain) Procrustes fit shared by all steps,
with the begin-angle hypothesis chosen per step by brute force.
</p>
<p>
Identifiability: the angle is determined only modulo the flute pitch
(360/N for N uniform flutes) and only when the transverse envelope is
modulated within a revolution — light side cuts or intermittent contact;
a full slot with several flutes engaged at once leaves the objective
flat, which <a class="xref" href="Hi.MillingForces.Training.SetupAngleEstimate.html#Hi_MillingForces_Training_SetupAngleEstimate_Contrast">Contrast</a> exposes.
</p>
</div>
  <div class="markdown conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public static class SetupAngleEstimation</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">SetupAngleEstimation</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="fields">Fields
</h2>



  <h3 id="Hi_MillingForces_Training_SetupAngleEstimation_MaxAlternations" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.MaxAlternations">
  MaxAlternations
  
  </h3>

  <div class="markdown level1 summary"><p>Upper bound on begin-angle / gain alternations per pass.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public const int MaxAlternations = 30</code></pre>
  </div>




  <h4 class="section">Field Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd></dd>
  </dl>










  <h3 id="Hi_MillingForces_Training_SetupAngleEstimation_MaxTrimRounds" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.MaxTrimRounds">
  MaxTrimRounds
  
  </h3>

  <div class="markdown level1 summary"><p>Upper bound on outlier-trim rounds (trim, re-solve, re-score).</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public const int MaxTrimRounds = 4</code></pre>
  </div>




  <h4 class="section">Field Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd></dd>
  </dl>









  <h2 class="section" id="properties">Properties
</h2>


  <a id="Hi_MillingForces_Training_SetupAngleEstimation_EnergyCapOverMedian_" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.EnergyCapOverMedian*"></a>

  <h3 id="Hi_MillingForces_Training_SetupAngleEstimation_EnergyCapOverMedian" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.EnergyCapOverMedian">
  EnergyCapOverMedian
  
  </h3>

  <div class="markdown level1 summary"><p>A step whose measured energy exceeds this multiple of the median is weighted down to it.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public static double EnergyCapOverMedian { get; set; }</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_MillingForces_Training_SetupAngleEstimation_GridStep_deg_" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.GridStep_deg*"></a>

  <h3 id="Hi_MillingForces_Training_SetupAngleEstimation_GridStep_deg" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.GridStep_deg">
  GridStep_deg
  
  </h3>

  <div class="markdown level1 summary"><p>Angle grid step (deg) of the global search; the closed-form refinement makes the estimate sub-grid.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public static double GridStep_deg { get; set; }</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_MillingForces_Training_SetupAngleEstimation_LowContrastThreshold_" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.LowContrastThreshold*"></a>

  <h3 id="Hi_MillingForces_Training_SetupAngleEstimation_LowContrastThreshold" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.LowContrastThreshold">
  LowContrastThreshold
  
  </h3>

  <div class="markdown level1 summary"><p>Objective contrast (see <a class="xref" href="Hi.MillingForces.Training.SetupAngleEstimate.html#Hi_MillingForces_Training_SetupAngleEstimate_Contrast">Contrast</a>) below which the estimate is reported as unconstrained.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public static double LowContrastThreshold { get; set; }</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_MillingForces_Training_SetupAngleEstimation_MirrorPreferenceRatio_" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.MirrorPreferenceRatio*"></a>

  <h3 id="Hi_MillingForces_Training_SetupAngleEstimation_MirrorPreferenceRatio" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.MirrorPreferenceRatio">
  MirrorPreferenceRatio
  
  </h3>

  <div class="markdown level1 summary"><p>The mirrored-frame hypothesis is reported as preferred when its objective
falls below this fraction of the plain hypothesis' objective.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public static double MirrorPreferenceRatio { get; set; }</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_MillingForces_Training_SetupAngleEstimation_RotationSignConvention_" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.RotationSignConvention*"></a>

  <h3 id="Hi_MillingForces_Training_SetupAngleEstimation_RotationSignConvention" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.RotationSignConvention">
  RotationSignConvention
  
  </h3>

  <div class="markdown level1 summary"><p>Sign relating the estimate to the cutter's <code>SetupAngle_deg</code>:
the setup angle to enter is <code>current + RotationSignConvention · Angle_deg</code>.
Pinned by the sim replay test (a cutter exported at a known setup angle
must be recovered with this sign).</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public static int RotationSignConvention { get; set; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd></dd>
  </dl>








  <h2 class="section" id="methods">Methods
</h2>


  <a id="Hi_MillingForces_Training_SetupAngleEstimation_Estimate_" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.Estimate*"></a>

  <h3 id="Hi_MillingForces_Training_SetupAngleEstimation_Estimate_System_Collections_Generic_IEnumerable_System_Collections_Generic_KeyValuePair_System_Int32_System_Collections_Generic_List_System_Collections_Generic_List_Hi_MillingForces_Fittings_TrainingSample_____System_Double___Hi_MillingForces_Fittings_SampleFlag_System_Int32_System_Double_System_Double_System_IProgress_Hi_Common_Messages_IMessage__System_Threading_CancellationToken_" data-uid="Hi.MillingForces.Training.SetupAngleEstimation.Estimate(System.Collections.Generic.IEnumerable{System.Collections.Generic.KeyValuePair{System.Int32,System.Collections.Generic.List{System.Collections.Generic.List{Hi.MillingForces.Fittings.TrainingSample}}}},System.Double[],Hi.MillingForces.Fittings.SampleFlag,System.Int32,System.Double,System.Double,System.IProgress{Hi.Common.Messages.IMessage},System.Threading.CancellationToken)">
  Estimate(IEnumerable&lt;KeyValuePair&lt;int, List&lt;List&lt;TrainingSample&gt;&gt;&gt;&gt;, double[], SampleFlag, int, double, double, IProgress&lt;IMessage&gt;, CancellationToken)
  
  </h3>

  <div class="markdown level1 summary"><p>Estimates the setup angle from gathered angle-hypothesis samples
(the <code>GatherSampleByAngle</code> structure: hypothesis list b at instance
i pairs the model row of angle (b+i) mod N with the measured value at
instance i).</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public static SetupAngleEstimate Estimate(IEnumerable&lt;KeyValuePair&lt;int, List&lt;List&lt;TrainingSample&gt;&gt;&gt;&gt; stepIndexToAngleSamples, double[] paraVector, SampleFlag sampleFlags, int fluteNum, double period_deg, double outlierRatio, IProgress&lt;IMessage&gt; messageProgress, CancellationToken cancellationToken)</code></pre>
  </div>

  <h4 class="section">Parameters</h4>
  <dl class="parameters">
    <dt><code>stepIndexToAngleSamples</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.keyvaluepair-2">KeyValuePair</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a>, <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.list-1">List</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.list-1">List</a>&lt;<a class="xref" href="Hi.MillingForces.Fittings.TrainingSample.html">TrainingSample</a>&gt;&gt;&gt;&gt;</dt>
    <dd><p>Gathered samples per step.</p>
</dd>
    <dt><code>paraVector</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
    <dd><p>The known cutting parameter as an element vector (the gather's template order).</p>
</dd>
    <dt><code>sampleFlags</code> <a class="xref" href="Hi.MillingForces.Fittings.SampleFlag.html">SampleFlag</a></dt>
    <dd><p>Channels gathered; must include Mx and My. Mz, when present, only helps the begin-angle choice.</p>
</dd>
    <dt><code>fluteNum</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd><p>Flute count of the cutter.</p>
</dd>
    <dt><code>period_deg</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
    <dd><p>Ambiguity period of the angle (360/N for uniform fluting).</p>
</dd>
    <dt><code>outlierRatio</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
    <dd><p>Fraction of the worst-fitting steps trimmed before the final estimate.</p>
</dd>
    <dt><code>messageProgress</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.iprogress-1">IProgress</a>&lt;<a class="xref" href="Hi.Common.Messages.IMessage.html">IMessage</a>&gt;</dt>
    <dd><p>Message sink.</p>
</dd>
    <dt><code>cancellationToken</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.threading.cancellationtoken">CancellationToken</a></dt>
    <dd><p>Cancellation token.</p>
</dd>
  </dl>

  <h4 class="section">Returns</h4>
  <dl class="parameters">
    <dt><a class="xref" href="Hi.MillingForces.Training.SetupAngleEstimate.html">SetupAngleEstimate</a></dt>
    <dd></dd>
  </dl>












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