diff --git a/App/Hi.WpfPlus.dll b/App/Hi.WpfPlus.dll
index 979dfe0..92b3ed8 100644
Binary files a/App/Hi.WpfPlus.dll and b/App/Hi.WpfPlus.dll differ
diff --git a/App/HiCbtr.dll b/App/HiCbtr.dll
index a74562a..7d037c6 100644
Binary files a/App/HiCbtr.dll and b/App/HiCbtr.dll differ
diff --git a/App/HiDisp.dll b/App/HiDisp.dll
index 12d5d93..45f52c2 100644
Binary files a/App/HiDisp.dll and b/App/HiDisp.dll differ
diff --git a/App/HiGeom.dll b/App/HiGeom.dll
index f3065ab..0c818a5 100644
Binary files a/App/HiGeom.dll and b/App/HiGeom.dll differ
diff --git a/App/HiLicense.dll b/App/HiLicense.dll
index ed8f585..8ea30b7 100644
Binary files a/App/HiLicense.dll and b/App/HiLicense.dll differ
diff --git a/App/HiMech.dll b/App/HiMech.dll
index aa3a0cf..964326b 100644
Binary files a/App/HiMech.dll and b/App/HiMech.dll differ
diff --git a/App/HiNC-2025-win-desktop.deps.json b/App/HiNC-2025-win-desktop.deps.json
index 3af0d0f..950c4fe 100644
--- a/App/HiNC-2025-win-desktop.deps.json
+++ b/App/HiNC-2025-win-desktop.deps.json
@@ -11,9 +11,9 @@
         "dependencies": {
           "AvalonEdit": "6.3.0.90",
           "FontAwesome.Sharp": "6.3.0",
-          "Hi.WpfPlus": "3.1.118",
-          "HiNc": "3.1.149",
-          "HiNc-Resource": "3.1.32",
+          "Hi.WpfPlus": "3.1.119",
+          "HiNc": "3.1.150",
+          "HiNc-Resource": "3.1.33",
           "runtimepack.Microsoft.NETCore.App.Runtime.win-x64": "10.0.3",
           "runtimepack.Microsoft.WindowsDesktop.App.Runtime.win-x64": "10.0.3",
           "runtimepack.Microsoft.AspNetCore.App.Runtime.win-x64": "10.0.3"
@@ -1673,36 +1673,36 @@
           }
         }
       },
-      "Hi.WpfPlus/3.1.118": {
+      "Hi.WpfPlus/3.1.119": {
         "dependencies": {
-          "HiDisp": "3.1.121"
+          "HiDisp": "3.1.122"
         },
         "runtime": {
           "lib/net10.0-windows7.0/Hi.WpfPlus.dll": {
-            "assemblyVersion": "3.1.118.0",
-            "fileVersion": "3.1.118.0"
+            "assemblyVersion": "3.1.119.0",
+            "fileVersion": "3.1.119.0"
           }
         }
       },
-      "HiCbtr/3.1.120": {
+      "HiCbtr/3.1.121": {
         "dependencies": {
-          "HiDisp": "3.1.121"
+          "HiDisp": "3.1.122"
         },
         "runtime": {
           "lib/net10.0/HiCbtr.dll": {
-            "assemblyVersion": "3.1.120.0",
-            "fileVersion": "3.1.120.0"
+            "assemblyVersion": "3.1.121.0",
+            "fileVersion": "3.1.121.0"
           }
         }
       },
-      "HiDisp/3.1.121": {
+      "HiDisp/3.1.122": {
         "dependencies": {
-          "HiGeom": "3.1.111"
+          "HiGeom": "3.1.112"
         },
         "runtime": {
           "lib/net10.0/HiDisp.dll": {
-            "assemblyVersion": "3.1.121.0",
-            "fileVersion": "3.1.121.0"
+            "assemblyVersion": "3.1.122.0",
+            "fileVersion": "3.1.122.0"
           }
         },
         "native": {
@@ -1720,7 +1720,7 @@
           }
         }
       },
-      "HiGeom/3.1.111": {
+      "HiGeom/3.1.112": {
         "dependencies": {
           "Google.Protobuf": "3.28.3",
           "Grpc.AspNetCore": "2.66.0",
@@ -1730,8 +1730,8 @@
         },
         "runtime": {
           "lib/net10.0/HiGeom.dll": {
-            "assemblyVersion": "3.1.111.0",
-            "fileVersion": "3.1.111.0"
+            "assemblyVersion": "3.1.112.0",
+            "fileVersion": "3.1.112.0"
           }
         },
         "resources": {
@@ -1743,27 +1743,27 @@
           }
         }
       },
-      "HiLicense/3.1.112": {
+      "HiLicense/3.1.113": {
         "dependencies": {
-          "HiGeom": "3.1.111"
+          "HiGeom": "3.1.112"
         },
         "runtime": {
           "lib/net10.0/HiLicense.dll": {
-            "assemblyVersion": "3.1.112.0",
-            "fileVersion": "3.1.112.0"
+            "assemblyVersion": "3.1.113.0",
+            "fileVersion": "3.1.113.0"
           }
         }
       },
-      "HiMech/3.1.130": {
+      "HiMech/3.1.131": {
         "dependencies": {
           "CommandLineParser": "2.9.1",
-          "HiCbtr": "3.1.120",
+          "HiCbtr": "3.1.121",
           "Microsoft.CodeAnalysis.CSharp.Scripting": "5.0.0"
         },
         "runtime": {
           "lib/net10.0/HiMech.dll": {
-            "assemblyVersion": "3.1.130.0",
-            "fileVersion": "3.1.130.0"
+            "assemblyVersion": "3.1.131.0",
+            "fileVersion": "3.1.131.0"
           }
         },
         "resources": {
@@ -1778,21 +1778,21 @@
           }
         }
       },
-      "HiNc/3.1.149": {
+      "HiNc/3.1.150": {
         "dependencies": {
           "Dapper": "2.1.35",
           "Google.Protobuf": "3.28.3",
           "Grpc.AspNetCore": "2.66.0",
           "Grpc.Net.Client": "2.66.0",
-          "HiLicense": "3.1.112",
-          "HiMech": "3.1.130",
-          "HiUniNc": "3.1.126",
+          "HiLicense": "3.1.113",
+          "HiMech": "3.1.131",
+          "HiUniNc": "3.1.127",
           "Microsoft.Data.Sqlite": "9.0.0"
         },
         "runtime": {
           "lib/net10.0/HiNc.dll": {
-            "assemblyVersion": "3.1.149.0",
-            "fileVersion": "3.1.149.0"
+            "assemblyVersion": "3.1.150.0",
+            "fileVersion": "3.1.150.0"
           }
         },
         "resources": {
@@ -1804,22 +1804,22 @@
           }
         }
       },
-      "HiNc-Resource/3.1.32": {
+      "HiNc-Resource/3.1.33": {
         "runtime": {
           "lib/net10.0/HiNc-Resource.dll": {
-            "assemblyVersion": "3.1.32.0",
-            "fileVersion": "3.1.32.0"
+            "assemblyVersion": "3.1.33.0",
+            "fileVersion": "3.1.33.0"
           }
         }
       },
-      "HiUniNc/3.1.126": {
+      "HiUniNc/3.1.127": {
         "dependencies": {
-          "HiMech": "3.1.130"
+          "HiMech": "3.1.131"
         },
         "runtime": {
           "lib/net10.0/HiUniNc.dll": {
-            "assemblyVersion": "3.1.126.0",
-            "fileVersion": "3.1.126.0"
+            "assemblyVersion": "3.1.127.0",
+            "fileVersion": "3.1.127.0"
           }
         }
       },
@@ -2201,68 +2201,68 @@
       "path": "grpc.net.common/2.66.0",
       "hashPath": "grpc.net.common.2.66.0.nupkg.sha512"
     },
-    "Hi.WpfPlus/3.1.118": {
+    "Hi.WpfPlus/3.1.119": {
       "type": "package",
       "serviceable": true,
-      "sha512": "sha512-bxgdV2Q9ymTWK+1GcFR0Ec7aHqYsUk4JzychfSwGdzy38zXPdpTymLTlQlTG4zZvUBrg1HshMpggPM8XdODa9w==",
-      "path": "hi.wpfplus/3.1.118",
-      "hashPath": "hi.wpfplus.3.1.118.nupkg.sha512"
+      "sha512": "sha512-j8YX5z5Khc4Fb7nw1IS4WgxhtCJRE53SzWvTHnDDYMbdSUyYXaGC4r9MLdsWE3JWAt5FQqf7fHTkGtiRptoCCQ==",
+      "path": "hi.wpfplus/3.1.119",
+      "hashPath": "hi.wpfplus.3.1.119.nupkg.sha512"
     },
-    "HiCbtr/3.1.120": {
+    "HiCbtr/3.1.121": {
       "type": "package",
       "serviceable": true,
-      "sha512": "sha512-rx8eHv0B89xkJxRjFymGn3CBzCHE88cVc/E07Lr9KohXOod6x7uZlS7PFoMbcY2GQfjM4PLJg54emikg7AdgIQ==",
-      "path": "hicbtr/3.1.120",
-      "hashPath": "hicbtr.3.1.120.nupkg.sha512"
+      "sha512": "sha512-ZgIK7w7AKfG0SQHs0isc1gaDRkHt9UNbQe5+YBJC1AYRp/dKh82xCN8BobyrAodq9zsWU76qDcW6+ISyalGlnw==",
+      "path": "hicbtr/3.1.121",
+      "hashPath": "hicbtr.3.1.121.nupkg.sha512"
     },
-    "HiDisp/3.1.121": {
+    "HiDisp/3.1.122": {
       "type": "package",
       "serviceable": true,
-      "sha512": "sha512-tyJSdaeGMVqo8N81zY1EvOJpdgfWR/onEm+GKEBlmKflraKdbC7AWMKXQDc+izKJkQEGP8HuWOVygqt3VUW3eA==",
-      "path": "hidisp/3.1.121",
-      "hashPath": "hidisp.3.1.121.nupkg.sha512"
+      "sha512": "sha512-5Qe/OSTcMb95xIViAn4J+4KQK9hTxapqFPgiDq72UNK49KSlVS/+dkWx+pobEdtMzuz94M1zJLbNIZ5fO8ZYLg==",
+      "path": "hidisp/3.1.122",
+      "hashPath": "hidisp.3.1.122.nupkg.sha512"
     },
-    "HiGeom/3.1.111": {
+    "HiGeom/3.1.112": {
       "type": "package",
       "serviceable": true,
-      "sha512": "sha512-+BXXiKOcp97GGHGS5O6bKWYeCaAi2Bz4iMyfFpeQJh6nPRlBjAbRZorCXnpNw736D3ZFwiLrIiKpT5dmT1EO7A==",
-      "path": "higeom/3.1.111",
-      "hashPath": "higeom.3.1.111.nupkg.sha512"
+      "sha512": "sha512-hcvxZKJSE1sjRmEyBYJp8v1juxZkxLNgYx+28pxXZnVYWgdhTp1MBlOqUQvqt/mVGeOoBJZFgNjAqNFbo+Z72w==",
+      "path": "higeom/3.1.112",
+      "hashPath": "higeom.3.1.112.nupkg.sha512"
     },
-    "HiLicense/3.1.112": {
+    "HiLicense/3.1.113": {
       "type": "package",
       "serviceable": true,
-      "sha512": "sha512-GZyepgUGCd/+f8W8xAE6jawyWlEaLu1y041BKSJDcf/5Envtk+mIE0/OAFwzCEnUI7ID68D/LEF/06hIPVxa9Q==",
-      "path": "hilicense/3.1.112",
-      "hashPath": "hilicense.3.1.112.nupkg.sha512"
+      "sha512": "sha512-vlYjz6QWySzMtcTdP+v+BuoGEsqFZTv+uNb64SzDOxprPllFrjUFte2XRSFSiZc6F/QsV2KjqBZ9W6Zxpico0A==",
+      "path": "hilicense/3.1.113",
+      "hashPath": "hilicense.3.1.113.nupkg.sha512"
     },
-    "HiMech/3.1.130": {
+    "HiMech/3.1.131": {
       "type": "package",
       "serviceable": true,
-      "sha512": "sha512-wi/o2yGeEh9DFt8uDi51S2chk6Fee1QZ5PyqupqSKSYIx8pY7h0TustXsBY16YV39OehuCfe0cx8T/PTZvjqWw==",
-      "path": "himech/3.1.130",
-      "hashPath": "himech.3.1.130.nupkg.sha512"
+      "sha512": "sha512-xgfnkyJRsP9lcuCe9PjAnCprE6G2droDVc6LAf9gCxV25eLEJKS+qLQe+NqvJAID6mcPvxgKVhhYAncBoVW/iQ==",
+      "path": "himech/3.1.131",
+      "hashPath": "himech.3.1.131.nupkg.sha512"
     },
-    "HiNc/3.1.149": {
+    "HiNc/3.1.150": {
       "type": "package",
       "serviceable": true,
-      "sha512": "sha512-q3p1+FCs6mDsTr09b+LvMosZ31n7FNrV1S7i4GeoaQv42vbuUE75iJU7AnZZ7IsjYjdemUK+HLCh9lmDEAuc3w==",
-      "path": "hinc/3.1.149",
-      "hashPath": "hinc.3.1.149.nupkg.sha512"
+      "sha512": "sha512-clO2EdrT8eE7U00+PmUjUuWQL8HyO+MbYYI2WxmkDauVp1v352DxIYLI9JBzmkXZl1PFeyPEOXAnSLYa+7XjWQ==",
+      "path": "hinc/3.1.150",
+      "hashPath": "hinc.3.1.150.nupkg.sha512"
     },
-    "HiNc-Resource/3.1.32": {
+    "HiNc-Resource/3.1.33": {
       "type": "package",
       "serviceable": true,
-      "sha512": "sha512-/imp+kz2zrYtO286YVpwcO2qrzXj1/sRm6JqablZqnN6y4YAYZEj/HPEwjAJBP1blcabPFsGAGz2Sk2yAllDeg==",
-      "path": "hinc-resource/3.1.32",
-      "hashPath": "hinc-resource.3.1.32.nupkg.sha512"
+      "sha512": "sha512-bD25lSF457YhTnrWrFtjTV0WFuDiNY7Ha0Los8Fgat4iSoUZMIiOQl7VqmeomgmBUXGHP64r22uW0Ge+nl1cig==",
+      "path": "hinc-resource/3.1.33",
+      "hashPath": "hinc-resource.3.1.33.nupkg.sha512"
     },
-    "HiUniNc/3.1.126": {
+    "HiUniNc/3.1.127": {
       "type": "package",
       "serviceable": true,
-      "sha512": "sha512-VF6t2Qr+iE4pWLoe44hsoetoKNwesfXJV7Hi6QmcB1xY8nomrnbmg5H2UEeEs2gnjK0xDVijxWg/DRP4Q1NSRw==",
-      "path": "hiuninc/3.1.126",
-      "hashPath": "hiuninc.3.1.126.nupkg.sha512"
+      "sha512": "sha512-/WACzsijZkYlnbcsQGumyANK/n5b6yeIxjcun2FGEH1y9lrTiAcAnUbs1F37MjqrgODB98hZYQqGQscksayF2A==",
+      "path": "hiuninc/3.1.127",
+      "hashPath": "hiuninc.3.1.127.nupkg.sha512"
     },
     "MathNet.Numerics/5.0.0": {
       "type": "package",
diff --git a/App/HiNC-2025-win-desktop.dll b/App/HiNC-2025-win-desktop.dll
index d8d44a5..9bffbef 100644
Binary files a/App/HiNC-2025-win-desktop.dll and b/App/HiNC-2025-win-desktop.dll differ
diff --git a/App/HiNC-2025-win-desktop.pdb b/App/HiNC-2025-win-desktop.pdb
index 2211525..4754252 100644
Binary files a/App/HiNC-2025-win-desktop.pdb and b/App/HiNC-2025-win-desktop.pdb differ
diff --git a/App/HiNc-Resource.dll b/App/HiNc-Resource.dll
index 98c10e0..487e971 100644
Binary files a/App/HiNc-Resource.dll and b/App/HiNc-Resource.dll differ
diff --git a/App/HiNc.dll b/App/HiNc.dll
index 7fb6a7e..7562cf6 100644
Binary files a/App/HiNc.dll and b/App/HiNc.dll differ
diff --git a/App/HiUniNc.dll b/App/HiUniNc.dll
index b0fd3b6..596d5fe 100644
Binary files a/App/HiUniNc.dll and b/App/HiUniNc.dll differ
diff --git a/App/core.dll b/App/core.dll
index 22cfa6a..a1fe39c 100644
Binary files a/App/core.dll and b/App/core.dll differ
diff --git a/App/en/HiGeom.resources.dll b/App/en/HiGeom.resources.dll
index 7c2709f..03049ee 100644
Binary files a/App/en/HiGeom.resources.dll and b/App/en/HiGeom.resources.dll differ
diff --git a/App/en/HiMech.resources.dll b/App/en/HiMech.resources.dll
index 5aa36ca..10bc305 100644
Binary files a/App/en/HiMech.resources.dll and b/App/en/HiMech.resources.dll differ
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Geom.FractionStatus.html b/App/wwwroot/HiAPI-docsite/api/Hi.Geom.FractionStatus.html
index 2edf773..1fce92e 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Geom.FractionStatus.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Geom.FractionStatus.html
@@ -6,7 +6,7 @@
       <meta name="viewport" content="width=device-width, initial-scale=1.0">
       <meta name="title" content="Enum FractionStatus | HiAPI-C# 2025 ">
       
-      <meta name="description" content="Status flags for Fraction and . Corresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t.">
+      <meta name="description" content="Status flags for Fraction`1 and . Corresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t.">
       <link rel="icon" href="../img/HiAPI.favicon.ico">
       <link rel="stylesheet" href="../public/docfx.min.css">
       <link rel="stylesheet" href="../public/main.css">
@@ -98,7 +98,7 @@ Enum FractionStatus
   <dl><dt>Assembly</dt><dd>HiDisp.dll</dd></dl>
   </div>
 
-  <div class="markdown summary"><p>Status flags for Fraction and <a class="xref" href="Hi.Geom.NativeFraction.html">NativeFraction</a>.
+  <div class="markdown summary"><p>Status flags for Fraction`1 and <a class="xref" href="Hi.Geom.NativeFraction.html">NativeFraction</a>.
 Corresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t.</p>
 </div>
   <div class="markdown conceptual"></div>
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Geom.Mat4d.html b/App/wwwroot/HiAPI-docsite/api/Hi.Geom.Mat4d.html
index ed98c4f..3d7733c 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Geom.Mat4d.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Geom.Mat4d.html
@@ -1134,21 +1134,21 @@ i.e. (m[12],m[13],m[14])=(0,0,0).</p>
 
 
 
-  <a id="Hi_Geom_Mat4d_Pn_" data-uid="Hi.Geom.Mat4d.Pn*"></a>
+  <a id="Hi_Geom_Mat4d_Np_" data-uid="Hi.Geom.Mat4d.Np*"></a>
 
-  <h3 id="Hi_Geom_Mat4d_Pn" data-uid="Hi.Geom.Mat4d.Pn">
-  Pn
+  <h3 id="Hi_Geom_Mat4d_Np" data-uid="Hi.Geom.Mat4d.Np">
+  Np
   
   </h3>
 
-  <div class="markdown level1 summary"><p>Pn: the abbr. of Point and Normal.
+  <div class="markdown level1 summary"><p>Np: the abbr. of Normal and Point.
 The value is
 <code>new DVec3d(m[12], m[13], m[14], m[8], m[9], m[10])</code></p>
 </div>
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public DVec3d Pn { get; }</code></pre>
+    <pre><code class="lang-csharp hljs">public DVec3d Np { get; }</code></pre>
   </div>
 
 
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Geom.Solvers.SolverUtil.html b/App/wwwroot/HiAPI-docsite/api/Hi.Geom.Solvers.SolverUtil.html
index d0e0216..eeb0e03 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Geom.Solvers.SolverUtil.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Geom.Solvers.SolverUtil.html
@@ -648,60 +648,6 @@ Class SolverUtil
 
 
 
-  <a id="Hi_Geom_Solvers_SolverUtil_GetParasCompensations_" data-uid="Hi.Geom.Solvers.SolverUtil.GetParasCompensations*"></a>
-
-  <h3 id="Hi_Geom_Solvers_SolverUtil_GetParasCompensations_System_Func_System_Double___System_Double____System_Double___System_Double___System_Int32_System_Double___System_Double_0__0____" data-uid="Hi.Geom.Solvers.SolverUtil.GetParasCompensations(System.Func{System.Double[],System.Double[]},System.Double[],System.Double[],System.Int32,System.Double[],System.Double[0:,0:]@)">
-  GetParasCompensations(Func&lt;double[], double[]&gt;, double[], double[], int, double[], out double[,])
-  
-  </h3>
-
-  <div class="markdown level1 summary"><p>Gets multiple parameter compensation values for a function.</p>
-</div>
-  <div class="markdown level1 conceptual"></div>
-
-  <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public static List&lt;double[]&gt; GetParasCompensations(Func&lt;double[], double[]&gt; func, double[] paras, double[] dparas, int outputNum, double[] biases, out double[,] jacob)</code></pre>
-  </div>
-
-  <h4 class="section">Parameters</h4>
-  <dl class="parameters">
-    <dt><code>func</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.func-2">Func</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[], <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]&gt;</dt>
-    <dd><p>The function to evaluate.</p>
-</dd>
-    <dt><code>paras</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
-    <dd><p>The parameter values.</p>
-</dd>
-    <dt><code>dparas</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
-    <dd><p>The parameter delta values.</p>
-</dd>
-    <dt><code>outputNum</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
-    <dd><p>The number of output values.</p>
-</dd>
-    <dt><code>biases</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
-    <dd><p>The bias values.</p>
-</dd>
-    <dt><code>jacob</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[,]</dt>
-    <dd><p>The output Jacobian matrix.</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="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]&gt;</dt>
-    <dd><p>A list of parameter compensation values.</p>
-</dd>
-  </dl>
-
-
-
-
-
-
-
-
-
-
-
   <a id="Hi_Geom_Solvers_SolverUtil_Solve_" data-uid="Hi.Geom.Solvers.SolverUtil.Solve*"></a>
 
   <h3 id="Hi_Geom_Solvers_SolverUtil_Solve_System_Func_System_Double_System_Double__System_Double_System_Double_System_Double_System_Double_System_Int32_" data-uid="Hi.Geom.Solvers.SolverUtil.Solve(System.Func{System.Double,System.Double},System.Double,System.Double,System.Double,System.Double,System.Int32)">
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Geom.html b/App/wwwroot/HiAPI-docsite/api/Hi.Geom.html
index 5b2317c..baffa30 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Geom.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Geom.html
@@ -349,7 +349,7 @@ Enums
     </dl>
     <dl class="jumplist">
       <dt><a class="xref" href="Hi.Geom.FractionStatus.html">FractionStatus</a></dt>
-      <dd><p>Status flags for Fraction and <a class="xref" href="Hi.Geom.NativeFraction.html">NativeFraction</a>.
+      <dd><p>Status flags for Fraction`1 and <a class="xref" href="Hi.Geom.NativeFraction.html">NativeFraction</a>.
 Corresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t.</p>
 </dd>
     </dl>
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.DynamicRotation.html b/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.DynamicRotation.html
index ac378bf..3d039f1 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.DynamicRotation.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.DynamicRotation.html
@@ -102,7 +102,7 @@ Class DynamicRotation
   <div class="markdown conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public class DynamicRotation : IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IGetInverseTransformer, IToPresentDto</code></pre>
+    <pre><code class="lang-csharp hljs">public class DynamicRotation : IDynamicRotation, IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IGetInverseTransformer, IToPresentDto</code></pre>
   </div>
 
 
@@ -119,6 +119,7 @@ Class DynamicRotation
   <dl class="typelist implements">
     <dt>Implements</dt>
     <dd>
+      <div><a class="xref" href="Hi.Mech.Topo.IDynamicRotation.html">IDynamicRotation</a></div>
       <div><a class="xref" href="Hi.Mech.Topo.IDynamicRegular.html">IDynamicRegular</a></div>
       <div><a class="xref" href="Hi.Mech.Topo.IDynamicTransformer.html">IDynamicTransformer</a></div>
       <div><a class="xref" href="Hi.Mech.Topo.ITransformer.html">ITransformer</a></div>
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.IDynamicRotation.html b/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.IDynamicRotation.html
new file mode 100644
index 0000000..ce75623
--- /dev/null
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.IDynamicRotation.html
@@ -0,0 +1,325 @@
+<!DOCTYPE html>
+<html>
+  <head>
+    <meta charset="utf-8">
+      <title>Interface IDynamicRotation | HiAPI-C# 2025 </title>
+      <meta name="viewport" content="width=device-width, initial-scale=1.0">
+      <meta name="title" content="Interface IDynamicRotation | HiAPI-C# 2025 ">
+      
+      
+      <link rel="icon" href="../img/HiAPI.favicon.ico">
+      <link rel="stylesheet" href="../public/docfx.min.css">
+      <link rel="stylesheet" href="../public/main.css">
+      <meta name="docfx:navrel" content="../toc.html">
+      <meta name="docfx:tocrel" content="toc.html">
+      
+      <meta name="docfx:rel" content="../">
+      
+      
+      
+      <meta name="loc:inThisArticle" content="In this article">
+      <meta name="loc:searchResultsCount" content="{count} results for &quot;{query}&quot;">
+      <meta name="loc:searchNoResults" content="No results for &quot;{query}&quot;">
+      <meta name="loc:tocFilter" content="Filter by title">
+      <meta name="loc:nextArticle" content="Next">
+      <meta name="loc:prevArticle" content="Previous">
+      <meta name="loc:themeLight" content="Light">
+      <meta name="loc:themeDark" content="Dark">
+      <meta name="loc:themeAuto" content="Auto">
+      <meta name="loc:changeTheme" content="Change theme">
+      <meta name="loc:copy" content="Copy">
+      <meta name="loc:downloadPdf" content="Download PDF">
+
+      <script type="module" src="./../public/docfx.min.js"></script>
+
+      <script>
+        const theme = localStorage.getItem('theme') || 'auto'
+        document.documentElement.setAttribute('data-bs-theme', theme === 'auto' ? (window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light') : theme)
+      </script>
+
+  </head>
+
+  <body class="tex2jax_ignore" data-layout="" data-yaml-mime="ManagedReference">
+    <header class="bg-body border-bottom">
+      <nav id="autocollapse" class="navbar navbar-expand-md" role="navigation">
+        <div class="container-xxl flex-nowrap">
+          <a class="navbar-brand" href="../index.html">
+            <img id="logo" class="svg" src="../img/HiAPI.logo.png" alt="">
+            
+          </a>
+          <button class="btn btn-lg d-md-none border-0" type="button" data-bs-toggle="collapse" data-bs-target="#navpanel" aria-controls="navpanel" aria-expanded="false" aria-label="Toggle navigation">
+            <i class="bi bi-three-dots"></i>
+          </button>
+          <div class="collapse navbar-collapse" id="navpanel">
+            <div id="navbar">
+              <form class="search" role="search" id="search">
+                <i class="bi bi-search"></i>
+                <input class="form-control" id="search-query" type="search" disabled placeholder="Search" autocomplete="off" aria-label="Search">
+              </form>
+            </div>
+          </div>
+        </div>
+      </nav>
+    </header>
+
+    <main class="container-xxl">
+      <div class="toc-offcanvas">
+        <div class="offcanvas-md offcanvas-start" tabindex="-1" id="tocOffcanvas" aria-labelledby="tocOffcanvasLabel">
+          <div class="offcanvas-header">
+            <h5 class="offcanvas-title" id="tocOffcanvasLabel">Table of Contents</h5>
+            <button type="button" class="btn-close" data-bs-dismiss="offcanvas" data-bs-target="#tocOffcanvas" aria-label="Close"></button>
+          </div>
+          <div class="offcanvas-body">
+            <nav class="toc" id="toc"></nav>
+          </div>
+        </div>
+      </div>
+
+      <div class="content">
+        <div class="actionbar">
+          <button class="btn btn-lg border-0 d-md-none" type="button" data-bs-toggle="offcanvas" data-bs-target="#tocOffcanvas" aria-controls="tocOffcanvas" aria-expanded="false" aria-label="Show table of contents">
+            <i class="bi bi-list"></i>
+          </button>
+
+          <nav id="breadcrumb"></nav>
+        </div>
+
+        <article data-uid="Hi.Mech.Topo.IDynamicRotation">
+
+
+
+  <h1 id="Hi_Mech_Topo_IDynamicRotation" data-uid="Hi.Mech.Topo.IDynamicRotation" class="text-break">
+Interface IDynamicRotation  
+  </h1>
+
+  <div class="facts text-secondary">
+    <dl><dt>Namespace</dt><dd><a class="xref" href="Hi.html">Hi</a>.<a class="xref" href="Hi.Mech.html">Mech</a>.<a class="xref" href="Hi.Mech.Topo.html">Topo</a></dd></dl>
+  <dl><dt>Assembly</dt><dd>HiMech.dll</dd></dl>
+  </div>
+
+  <div class="markdown summary"></div>
+  <div class="markdown conceptual"></div>
+
+  <div class="codewrapper">
+    <pre><code class="lang-csharp hljs">public interface IDynamicRotation : IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IGetInverseTransformer, IToPresentDto</code></pre>
+  </div>
+
+
+
+
+
+
+
+  <dl class="typelist inheritedMembers">
+    <dt>Inherited Members</dt>
+    <dd>
+    <div>
+      <a class="xref" href="Hi.Mech.Topo.IDynamicRegular.html#Hi_Mech_Topo_IDynamicRegular_Step">IDynamicRegular.Step</a>
+    </div>
+    <div>
+      <a class="xref" href="Hi.Mech.Topo.ITransformer.html#Hi_Mech_Topo_ITransformer_GetMat">ITransformer.GetMat()</a>
+    </div>
+    <div>
+      <a class="xref" href="Hi.Mech.Topo.ITransformer.html#Hi_Mech_Topo_ITransformer_GetMatInv">ITransformer.GetMatInv()</a>
+    </div>
+    <div>
+      <a class="xref" href="Hi.Mech.Topo.ITransformer.html#Hi_Mech_Topo_ITransformer_Clone">ITransformer.Clone()</a>
+    </div>
+    <div>
+      <a class="xref" href="Hi.Common.XmlUtils.IMakeXmlSource.html#Hi_Common_XmlUtils_IMakeXmlSource_MakeXmlSource_System_String_System_String_System_Boolean_">IMakeXmlSource.MakeXmlSource(string, string, bool)</a>
+    </div>
+    <div>
+      <a class="xref" href="Hi.Mech.Topo.IGetInverseTransformer.html#Hi_Mech_Topo_IGetInverseTransformer_GetInverseTransformer">IGetInverseTransformer.GetInverseTransformer()</a>
+    </div>
+    <div>
+      <a class="xref" href="Hi.Common.IToPresentDto.html#Hi_Common_IToPresentDto_ToPresentDto">IToPresentDto.ToPresentDto()</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="properties">Properties
+</h2>
+
+
+  <a id="Hi_Mech_Topo_IDynamicRotation_Angle_deg_" data-uid="Hi.Mech.Topo.IDynamicRotation.Angle_deg*"></a>
+
+  <h3 id="Hi_Mech_Topo_IDynamicRotation_Angle_deg" data-uid="Hi.Mech.Topo.IDynamicRotation.Angle_deg">
+  Angle_deg
+  
+  </h3>
+
+  <div class="markdown level1 summary"><p>Rotation angle in degree.</p>
+</div>
+  <div class="markdown level1 conceptual"></div>
+
+  <div class="codewrapper">
+    <pre><code class="lang-csharp hljs">double Angle_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_Mech_Topo_IDynamicRotation_Angle_rad_" data-uid="Hi.Mech.Topo.IDynamicRotation.Angle_rad*"></a>
+
+  <h3 id="Hi_Mech_Topo_IDynamicRotation_Angle_rad" data-uid="Hi.Mech.Topo.IDynamicRotation.Angle_rad">
+  Angle_rad
+  
+  </h3>
+
+  <div class="markdown level1 summary"><p>Rotation angle in radian.</p>
+</div>
+  <div class="markdown level1 conceptual"></div>
+
+  <div class="codewrapper">
+    <pre><code class="lang-csharp hljs">double Angle_rad { 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_Mech_Topo_IDynamicRotation_Axis_" data-uid="Hi.Mech.Topo.IDynamicRotation.Axis*"></a>
+
+  <h3 id="Hi_Mech_Topo_IDynamicRotation_Axis" data-uid="Hi.Mech.Topo.IDynamicRotation.Axis">
+  Axis
+  
+  </h3>
+
+  <div class="markdown level1 summary"><p>Rotation axis.</p>
+</div>
+  <div class="markdown level1 conceptual"></div>
+
+  <div class="codewrapper">
+    <pre><code class="lang-csharp hljs">Vec3d Axis { get; set; }</code></pre>
+  </div>
+
+
+
+
+
+  <h4 class="section">Property Value</h4>
+  <dl class="parameters">
+    <dt><a class="xref" href="Hi.Geom.Vec3d.html">Vec3d</a></dt>
+    <dd></dd>
+  </dl>
+
+
+
+
+
+
+
+
+  <a id="Hi_Mech_Topo_IDynamicRotation_Pivot_" data-uid="Hi.Mech.Topo.IDynamicRotation.Pivot*"></a>
+
+  <h3 id="Hi_Mech_Topo_IDynamicRotation_Pivot" data-uid="Hi.Mech.Topo.IDynamicRotation.Pivot">
+  Pivot
+  
+  </h3>
+
+  <div class="markdown level1 summary"><p>pivot</p>
+</div>
+  <div class="markdown level1 conceptual"></div>
+
+  <div class="codewrapper">
+    <pre><code class="lang-csharp hljs">Vec3d Pivot { get; set; }</code></pre>
+  </div>
+
+
+
+
+
+  <h4 class="section">Property Value</h4>
+  <dl class="parameters">
+    <dt><a class="xref" href="Hi.Geom.Vec3d.html">Vec3d</a></dt>
+    <dd></dd>
+  </dl>
+
+
+
+
+
+
+
+
+
+</article>
+
+        <div class="contribution d-print-none">
+        </div>
+
+
+      </div>
+
+      <div class="affix">
+        <nav id="affix"></nav>
+      </div>
+    </main>
+
+    <div class="container-xxl search-results" id="search-results"></div>
+
+    <footer class="border-top text-secondary">
+      <div class="container-xxl">
+        <div class="flex-fill">
+          <span> Copyright © 2025 <a href='https://superhightech.com.tw'>Tech Coordinate</a>. All rights reserved. <a href='https://superhightech.com.tw'>超級高科技股份有限公司</a> © 2025 版權所有 </span>
+        </div>
+      </div>
+    </footer>
+  </body>
+</html>
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.html b/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.html
index 1d3cdc7..0ecb5ae 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Mech.Topo.html
@@ -223,6 +223,10 @@ Interfaces
       <dd><p>Dynamic Regular Transformer</p>
 </dd>
     </dl>
+    <dl class="jumplist">
+      <dt><a class="xref" href="Hi.Mech.Topo.IDynamicRotation.html">IDynamicRotation</a></dt>
+      <dd></dd>
+    </dl>
     <dl class="jumplist">
       <dt><a class="xref" href="Hi.Mech.Topo.IDynamicTransformer.html">IDynamicTransformer</a></dt>
       <dd><p>Dynamic Transformer.</p>
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.NcMech.Topo.NcRotation.html b/App/wwwroot/HiAPI-docsite/api/Hi.NcMech.Topo.NcRotation.html
index ae51d86..c912641 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.NcMech.Topo.NcRotation.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.NcMech.Topo.NcRotation.html
@@ -103,7 +103,7 @@ Provides functionality for rotational motion with stroke and speed limits.</p>
   <div class="markdown conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public class NcRotation : DynamicRotation, IGetInverseTransformer, INcTransformer, IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IToPresentDto, INcStroke</code></pre>
+    <pre><code class="lang-csharp hljs">public class NcRotation : DynamicRotation, IDynamicRotation, IGetInverseTransformer, INcTransformer, IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IToPresentDto, INcStroke</code></pre>
   </div>
 
 
@@ -121,6 +121,7 @@ Provides functionality for rotational motion with stroke and speed limits.</p>
   <dl class="typelist implements">
     <dt>Implements</dt>
     <dd>
+      <div><a class="xref" href="Hi.Mech.Topo.IDynamicRotation.html">IDynamicRotation</a></div>
       <div><a class="xref" href="Hi.Mech.Topo.IGetInverseTransformer.html">IGetInverseTransformer</a></div>
       <div><a class="xref" href="Hi.NcMech.Topo.INcTransformer.html">INcTransformer</a></div>
       <div><a class="xref" href="Hi.Mech.Topo.IDynamicRegular.html">IDynamicRegular</a></div>
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.NcMech.Xyzabc.IXyzabcMachineTool.html b/App/wwwroot/HiAPI-docsite/api/Hi.NcMech.Xyzabc.IXyzabcMachineTool.html
index e79587c..71b383f 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.NcMech.Xyzabc.IXyzabcMachineTool.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.NcMech.Xyzabc.IXyzabcMachineTool.html
@@ -138,6 +138,12 @@ Interface IXyzabcMachineTool
     <div>
       <a class="xref" href="Hi.Numerical.Xyzabc.IXyzabcChain.html#Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerC">IXyzabcChain.GetTransformerC()</a>
     </div>
+    <div>
+      <a class="xref" href="Hi.Numerical.Xyzabc.IXyzabcChain.html#Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerXyz">IXyzabcChain.GetTransformerXyz()</a>
+    </div>
+    <div>
+      <a class="xref" href="Hi.Numerical.Xyzabc.IXyzabcChain.html#Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerAbc">IXyzabcChain.GetTransformerAbc()</a>
+    </div>
     <div>
       <a class="xref" href="Hi.Numerical.Xyzabc.IGetXyzabcChain.html#Hi_Numerical_Xyzabc_IGetXyzabcChain_GetXyzabcChain">IGetXyzabcChain.GetXyzabcChain()</a>
     </div>
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.html b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.html
index 4c29d52..b1d01cb 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.html
@@ -401,8 +401,8 @@ The Normal property represents ABC angles in radians.</p>
 
   <a id="Hi_Numerical_Acts_ActLinearClAndLinearMcAbcMcXyzabcContour_GetActMcXyzabcSteps_" data-uid="Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps*"></a>
 
-  <h3 id="Hi_Numerical_Acts_ActLinearClAndLinearMcAbcMcXyzabcContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_" data-uid="Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)">
-  GetActMcXyzabcSteps(IMachiningMotionResolution, double)
+  <h3 id="Hi_Numerical_Acts_ActLinearClAndLinearMcAbcMcXyzabcContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__" data-uid="Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})">
+  GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action&lt;object&gt;)
   
   </h3>
 
@@ -411,7 +411,7 @@ The Normal property represents ABC angles in radians.</p>
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength)</code></pre>
+    <pre><code class="lang-csharp hljs">public IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action&lt;object&gt; coordinateConversionFailedAction)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
@@ -421,6 +421,9 @@ The Normal property represents ABC angles in radians.</p>
 </dd>
     <dt><code>spindleBuckleToToolTipLength</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
     <dd><p>The length from spindle buckle to tool tip, used for computing step numbers.</p>
+</dd>
+    <dt><code>coordinateConversionFailedAction</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.action-1">Action</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a>&gt;</dt>
+    <dd><p>Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP).</p>
 </dd>
   </dl>
 
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActMcPolarLinearContour.html b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActMcPolarLinearContour.html
index fe1c397..e887213 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActMcPolarLinearContour.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActMcPolarLinearContour.html
@@ -315,8 +315,8 @@ for interpolation in polar coordinate system.</p>
 
   <a id="Hi_Numerical_Acts_ActMcPolarLinearContour_GetActMcXyzabcSteps_" data-uid="Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps*"></a>
 
-  <h3 id="Hi_Numerical_Acts_ActMcPolarLinearContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_" data-uid="Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)">
-  GetActMcXyzabcSteps(IMachiningMotionResolution, double)
+  <h3 id="Hi_Numerical_Acts_ActMcPolarLinearContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__" data-uid="Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})">
+  GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action&lt;object&gt;)
   
   </h3>
 
@@ -325,7 +325,7 @@ for interpolation in polar coordinate system.</p>
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength)</code></pre>
+    <pre><code class="lang-csharp hljs">public IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action&lt;object&gt; coordinateConversionFailedAction)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
@@ -335,6 +335,9 @@ for interpolation in polar coordinate system.</p>
 </dd>
     <dt><code>spindleBuckleToToolTipLength</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
     <dd><p>The length from spindle buckle to tool tip, used for computing step numbers.</p>
+</dd>
+    <dt><code>coordinateConversionFailedAction</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.action-1">Action</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a>&gt;</dt>
+    <dd><p>Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP).</p>
 </dd>
   </dl>
 
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.html b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.html
index b2a5a8a..49aad0d 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.html
@@ -372,8 +372,8 @@ The Normal property of DVec3d represents ABC angles in radians.</p>
 
   <a id="Hi_Numerical_Acts_ActMcXyzabcOrientableLinearContour_GetActMcXyzabcSteps_" data-uid="Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps*"></a>
 
-  <h3 id="Hi_Numerical_Acts_ActMcXyzabcOrientableLinearContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_" data-uid="Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)">
-  GetActMcXyzabcSteps(IMachiningMotionResolution, double)
+  <h3 id="Hi_Numerical_Acts_ActMcXyzabcOrientableLinearContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__" data-uid="Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})">
+  GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action&lt;object&gt;)
   
   </h3>
 
@@ -382,7 +382,7 @@ The Normal property of DVec3d represents ABC angles in radians.</p>
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength)</code></pre>
+    <pre><code class="lang-csharp hljs">public IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action&lt;object&gt; coordinateConversionFailedAction)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
@@ -392,6 +392,9 @@ The Normal property of DVec3d represents ABC angles in radians.</p>
 </dd>
     <dt><code>spindleBuckleToToolTipLength</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
     <dd><p>The length from spindle buckle to tool tip, used for computing step numbers.</p>
+</dd>
+    <dt><code>coordinateConversionFailedAction</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.action-1">Action</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a>&gt;</dt>
+    <dd><p>Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP).</p>
 </dd>
   </dl>
 
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActSpiralMcXyzContour.html b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActSpiralMcXyzContour.html
index 24e167d..cb73e81 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActSpiralMcXyzContour.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.ActSpiralMcXyzContour.html
@@ -477,8 +477,8 @@ Class ActSpiralMcXyzContour
 
   <a id="Hi_Numerical_Acts_ActSpiralMcXyzContour_GetActMcXyzabcSteps_" data-uid="Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps*"></a>
 
-  <h3 id="Hi_Numerical_Acts_ActSpiralMcXyzContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_" data-uid="Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)">
-  GetActMcXyzabcSteps(IMachiningMotionResolution, double)
+  <h3 id="Hi_Numerical_Acts_ActSpiralMcXyzContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__" data-uid="Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})">
+  GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action&lt;object&gt;)
   
   </h3>
 
@@ -487,7 +487,7 @@ Class ActSpiralMcXyzContour
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength)</code></pre>
+    <pre><code class="lang-csharp hljs">public IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action&lt;object&gt; coordinateConversionFailedAction)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
@@ -497,6 +497,9 @@ Class ActSpiralMcXyzContour
 </dd>
     <dt><code>spindleBuckleToToolTipLength</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
     <dd><p>The length from spindle buckle to tool tip, used for computing step numbers.</p>
+</dd>
+    <dt><code>coordinateConversionFailedAction</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.action-1">Action</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a>&gt;</dt>
+    <dd><p>Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP).</p>
 </dd>
   </dl>
 
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.IActMcXyzabcContour.html b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.IActMcXyzabcContour.html
index 790de73..765fbe6 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.IActMcXyzabcContour.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Acts.IActMcXyzabcContour.html
@@ -148,8 +148,8 @@ Interface IActMcXyzabcContour
 
   <a id="Hi_Numerical_Acts_IActMcXyzabcContour_GetActMcXyzabcSteps_" data-uid="Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps*"></a>
 
-  <h3 id="Hi_Numerical_Acts_IActMcXyzabcContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_" data-uid="Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)">
-  GetActMcXyzabcSteps(IMachiningMotionResolution, double)
+  <h3 id="Hi_Numerical_Acts_IActMcXyzabcContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__" data-uid="Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})">
+  GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action&lt;object&gt;)
   
   </h3>
 
@@ -158,7 +158,7 @@ Interface IActMcXyzabcContour
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength)</code></pre>
+    <pre><code class="lang-csharp hljs">IEnumerable&lt;ActMcXyzabcStep&gt; GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action&lt;object&gt; coordinateConversionFailedAction)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
@@ -168,6 +168,9 @@ Interface IActMcXyzabcContour
 </dd>
     <dt><code>spindleBuckleToToolTipLength</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
     <dd><p>The length from spindle buckle to tool tip, used for computing step numbers.</p>
+</dd>
+    <dt><code>coordinateConversionFailedAction</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.action-1">Action</a>&lt;<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a>&gt;</dt>
+    <dd><p>Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP).</p>
 </dd>
   </dl>
 
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.ICoordinateConverter.html b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.ICoordinateConverter.html
index aca0842..58b3fe9 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.ICoordinateConverter.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.ICoordinateConverter.html
@@ -146,10 +146,10 @@ Interface ICoordinateConverter
 </h2>
 
 
-  <a id="Hi_Numerical_Xyzabc_ICoordinateConverter_AttacherPnToMc_" data-uid="Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherPnToMc*"></a>
+  <a id="Hi_Numerical_Xyzabc_ICoordinateConverter_AttacherNpToMc_" data-uid="Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherNpToMc*"></a>
 
-  <h3 id="Hi_Numerical_Xyzabc_ICoordinateConverter_AttacherPnToMc_Hi_Geom_DVec3d_System_Boolean__" data-uid="Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherPnToMc(Hi.Geom.DVec3d,System.Boolean@)">
-  AttacherPnToMc(DVec3d, out bool)
+  <h3 id="Hi_Numerical_Xyzabc_ICoordinateConverter_AttacherNpToMc_Hi_Geom_DVec3d_Hi_Geom_DVec3d__" data-uid="Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherNpToMc(Hi.Geom.DVec3d,Hi.Geom.DVec3d@)">
+  AttacherNpToMc(DVec3d, out DVec3d)
   
   </h3>
 
@@ -159,7 +159,7 @@ The NP is from table buckle to tool attacher.</p>
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">DVec3d AttacherPnToMc(DVec3d pn, out bool isConverted)</code></pre>
+    <pre><code class="lang-csharp hljs">bool AttacherNpToMc(DVec3d pn, out DVec3d mcXyzabc_rad)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
@@ -167,15 +167,15 @@ The NP is from table buckle to tool attacher.</p>
     <dt><code>pn</code> <a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
     <dd><p>tool attacher NP (Normal and Point)</p>
 </dd>
-    <dt><code>isConverted</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">bool</a></dt>
-    <dd><p>is conversion succeed</p>
+    <dt><code>mcXyzabc_rad</code> <a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
+    <dd><p>machine coordinate (ABC in radian)</p>
 </dd>
   </dl>
 
   <h4 class="section">Returns</h4>
   <dl class="parameters">
-    <dt><a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
-    <dd><p>machine coordinate</p>
+    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">bool</a></dt>
+    <dd><p>whether conversion succeeded</p>
 </dd>
   </dl>
 
@@ -367,10 +367,10 @@ the tilt matrix is the transformation matrix from table to attacher.</p>
 
 
 
-  <a id="Hi_Numerical_Xyzabc_ICoordinateConverter_McToAttacherPn_" data-uid="Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherPn*"></a>
+  <a id="Hi_Numerical_Xyzabc_ICoordinateConverter_McToAttacherNp_" data-uid="Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherNp*"></a>
 
-  <h3 id="Hi_Numerical_Xyzabc_ICoordinateConverter_McToAttacherPn_Hi_Geom_DVec3d_" data-uid="Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherPn(Hi.Geom.DVec3d)">
-  McToAttacherPn(DVec3d)
+  <h3 id="Hi_Numerical_Xyzabc_ICoordinateConverter_McToAttacherNp_Hi_Geom_DVec3d_" data-uid="Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherNp(Hi.Geom.DVec3d)">
+  McToAttacherNp(DVec3d)
   
   </h3>
 
@@ -380,7 +380,7 @@ The NP is from table buckle to tool attacher.</p>
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">DVec3d McToAttacherPn(DVec3d mcXyzabc)</code></pre>
+    <pre><code class="lang-csharp hljs">DVec3d McToAttacherNp(DVec3d mcXyzabc)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
@@ -393,7 +393,7 @@ The NP is from table buckle to tool attacher.</p>
   <h4 class="section">Returns</h4>
   <dl class="parameters">
     <dt><a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
-    <dd><p>tool attacher Pn (Point and Normal)</p>
+    <dd><p>tool attacher Np (Normal and Point)</p>
 </dd>
   </dl>
 
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.IXyzabcChain.html b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.IXyzabcChain.html
index 1e721e9..81cd57b 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.IXyzabcChain.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.IXyzabcChain.html
@@ -264,6 +264,37 @@ Interface IXyzabcChain
 
 
 
+  <a id="Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerAbc_" data-uid="Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerAbc*"></a>
+
+  <h3 id="Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerAbc" data-uid="Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerAbc">
+  GetTransformerAbc()
+  
+  </h3>
+
+  <div class="markdown level1 summary"></div>
+  <div class="markdown level1 conceptual"></div>
+
+  <div class="codewrapper">
+    <pre><code class="lang-csharp hljs">IDynamicRotation[] GetTransformerAbc()</code></pre>
+  </div>
+
+
+  <h4 class="section">Returns</h4>
+  <dl class="parameters">
+    <dt><a class="xref" href="Hi.Mech.Topo.IDynamicRotation.html">IDynamicRotation</a>[]</dt>
+    <dd></dd>
+  </dl>
+
+
+
+
+
+
+
+
+
+
+
   <a id="Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerB_" data-uid="Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerB*"></a>
 
   <h3 id="Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerB" data-uid="Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerB">
@@ -363,6 +394,37 @@ Interface IXyzabcChain
 
 
 
+  <a id="Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerXyz_" data-uid="Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerXyz*"></a>
+
+  <h3 id="Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerXyz" data-uid="Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerXyz">
+  GetTransformerXyz()
+  
+  </h3>
+
+  <div class="markdown level1 summary"></div>
+  <div class="markdown level1 conceptual"></div>
+
+  <div class="codewrapper">
+    <pre><code class="lang-csharp hljs">DynamicTranslation[] GetTransformerXyz()</code></pre>
+  </div>
+
+
+  <h4 class="section">Returns</h4>
+  <dl class="parameters">
+    <dt><a class="xref" href="Hi.Mech.Topo.DynamicTranslation.html">DynamicTranslation</a>[]</dt>
+    <dd></dd>
+  </dl>
+
+
+
+
+
+
+
+
+
+
+
   <a id="Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerY_" data-uid="Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerY*"></a>
 
   <h3 id="Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerY" data-uid="Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerY">
diff --git a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.XyzabcSolver.html b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.XyzabcSolver.html
index 7c4d770..14c6b20 100644
--- a/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.XyzabcSolver.html
+++ b/App/wwwroot/HiAPI-docsite/api/Hi.Numerical.Xyzabc.XyzabcSolver.html
@@ -178,9 +178,6 @@ Class XyzabcSolver
 
 
 
-  <h2 id="Hi_Numerical_Xyzabc_XyzabcSolver_remarks">Remarks</h2>
-  <div class="markdown level0 remarks"><p>Call <a class="xref" href="Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_Rebuild">Rebuild()</a> if the kinematic chain of <a class="xref" href="Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_Device">Device</a> is changed.</p>
-</div>
 
 
   <h2 class="section" id="constructors">Constructors
@@ -199,12 +196,12 @@ Class XyzabcSolver
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public XyzabcSolver(IXyzabcChain device)</code></pre>
+    <pre><code class="lang-csharp hljs">public XyzabcSolver(IXyzabcChain srcDevice)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
   <dl class="parameters">
-    <dt><code>device</code> <a class="xref" href="Hi.Numerical.Xyzabc.IXyzabcChain.html">IXyzabcChain</a></dt>
+    <dt><code>srcDevice</code> <a class="xref" href="Hi.Numerical.Xyzabc.IXyzabcChain.html">IXyzabcChain</a></dt>
     <dd><p>target device</p>
 </dd>
   </dl>
@@ -220,50 +217,14 @@ Class XyzabcSolver
 
 
 
-  <h2 class="section" id="properties">Properties
-</h2>
-
-
-  <a id="Hi_Numerical_Xyzabc_XyzabcSolver_Device_" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.Device*"></a>
-
-  <h3 id="Hi_Numerical_Xyzabc_XyzabcSolver_Device" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.Device">
-  Device
-  
-  </h3>
-
-  <div class="markdown level1 summary"><p>Deivce.</p>
-</div>
-  <div class="markdown level1 conceptual"></div>
-
-  <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public IXyzabcChain Device { get; }</code></pre>
-  </div>
-
-
-
-
-
-  <h4 class="section">Property Value</h4>
-  <dl class="parameters">
-    <dt><a class="xref" href="Hi.Numerical.Xyzabc.IXyzabcChain.html">IXyzabcChain</a></dt>
-    <dd></dd>
-  </dl>
-
-
-
-
-
-
-
-
   <h2 class="section" id="methods">Methods
 </h2>
 
 
-  <a id="Hi_Numerical_Xyzabc_XyzabcSolver_AttacherPnToMc_" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.AttacherPnToMc*"></a>
+  <a id="Hi_Numerical_Xyzabc_XyzabcSolver_AttacherNpToMc_" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.AttacherNpToMc*"></a>
 
-  <h3 id="Hi_Numerical_Xyzabc_XyzabcSolver_AttacherPnToMc_Hi_Geom_DVec3d_System_Boolean__" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.AttacherPnToMc(Hi.Geom.DVec3d,System.Boolean@)">
-  AttacherPnToMc(DVec3d, out bool)
+  <h3 id="Hi_Numerical_Xyzabc_XyzabcSolver_AttacherNpToMc_Hi_Geom_DVec3d_Hi_Geom_DVec3d__" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.AttacherNpToMc(Hi.Geom.DVec3d,Hi.Geom.DVec3d@)">
+  AttacherNpToMc(DVec3d, out DVec3d)
   
   </h3>
 
@@ -273,22 +234,22 @@ The NP is from table buckle to tool attacher.</p>
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public DVec3d AttacherPnToMc(DVec3d np, out bool isConverted)</code></pre>
+    <pre><code class="lang-csharp hljs">public bool AttacherNpToMc(DVec3d np, out DVec3d mcXyzabc_rad)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
   <dl class="parameters">
     <dt><code>np</code> <a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
     <dd></dd>
-    <dt><code>isConverted</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">bool</a></dt>
-    <dd><p>is conversion succeed</p>
+    <dt><code>mcXyzabc_rad</code> <a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
+    <dd><p>machine coordinate (ABC in radian)</p>
 </dd>
   </dl>
 
   <h4 class="section">Returns</h4>
   <dl class="parameters">
-    <dt><a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
-    <dd><p>machine coordinate</p>
+    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">bool</a></dt>
+    <dd><p>whether conversion succeeded</p>
 </dd>
   </dl>
 
@@ -479,10 +440,10 @@ the tilt matrix is the transformation matrix from table to attacher.</p>
 
 
 
-  <a id="Hi_Numerical_Xyzabc_XyzabcSolver_McToAttacherPn_" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherPn*"></a>
+  <a id="Hi_Numerical_Xyzabc_XyzabcSolver_McToAttacherNp_" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherNp*"></a>
 
-  <h3 id="Hi_Numerical_Xyzabc_XyzabcSolver_McToAttacherPn_Hi_Geom_DVec3d_" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherPn(Hi.Geom.DVec3d)">
-  McToAttacherPn(DVec3d)
+  <h3 id="Hi_Numerical_Xyzabc_XyzabcSolver_McToAttacherNp_Hi_Geom_DVec3d_" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherNp(Hi.Geom.DVec3d)">
+  McToAttacherNp(DVec3d)
   
   </h3>
 
@@ -492,7 +453,7 @@ The NP is from table buckle to tool attacher.</p>
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public DVec3d McToAttacherPn(DVec3d mc)</code></pre>
+    <pre><code class="lang-csharp hljs">public DVec3d McToAttacherNp(DVec3d mc)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
@@ -504,7 +465,7 @@ The NP is from table buckle to tool attacher.</p>
   <h4 class="section">Returns</h4>
   <dl class="parameters">
     <dt><a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
-    <dd><p>tool attacher Pn (Point and Normal)</p>
+    <dd><p>tool attacher Np (Normal and Point)</p>
 </dd>
   </dl>
 
@@ -526,7 +487,7 @@ The NP is from table buckle to tool attacher.</p>
   </h3>
 
   <div class="markdown level1 summary"><p>Rebuild the solver.
-It should be called after the kinematic chain of <a class="xref" href="Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_Device">Device</a> is changed.</p>
+It should be called after the kinematic chain of <span class="xref">Hi.Numerical.Xyzabc.XyzabcSolver.SrcDevice</span> is modified.</p>
 </div>
   <div class="markdown level1 conceptual"></div>
 
@@ -548,8 +509,8 @@ It should be called after the kinematic chain of <a class="xref" href="Hi.Numeri
 
   <a id="Hi_Numerical_Xyzabc_XyzabcSolver_SetNp_" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.SetNp*"></a>
 
-  <h3 id="Hi_Numerical_Xyzabc_XyzabcSolver_SetNp_Hi_Geom_DVec3d_" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.SetNp(Hi.Geom.DVec3d)">
-  SetNp(DVec3d)
+  <h3 id="Hi_Numerical_Xyzabc_XyzabcSolver_SetNp_Hi_Geom_DVec3d_Hi_Geom_DVec3d__" data-uid="Hi.Numerical.Xyzabc.XyzabcSolver.SetNp(Hi.Geom.DVec3d,Hi.Geom.DVec3d@)">
+  SetNp(DVec3d, out DVec3d)
   
   </h3>
 
@@ -558,7 +519,7 @@ It should be called after the kinematic chain of <a class="xref" href="Hi.Numeri
   <div class="markdown level1 conceptual"></div>
 
   <div class="codewrapper">
-    <pre><code class="lang-csharp hljs">public bool SetNp(DVec3d np)</code></pre>
+    <pre><code class="lang-csharp hljs">public bool SetNp(DVec3d np, out DVec3d mc)</code></pre>
   </div>
 
   <h4 class="section">Parameters</h4>
@@ -566,6 +527,8 @@ It should be called after the kinematic chain of <a class="xref" href="Hi.Numeri
     <dt><code>np</code> <a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
     <dd><p>normal and point</p>
 </dd>
+    <dt><code>mc</code> <a class="xref" href="Hi.Geom.DVec3d.html">DVec3d</a></dt>
+    <dd></dd>
   </dl>
 
   <h4 class="section">Returns</h4>
diff --git a/App/wwwroot/HiAPI-docsite/api/toc.html b/App/wwwroot/HiAPI-docsite/api/toc.html
index 8e8cc41..2f7b8e3 100644
--- a/App/wwwroot/HiAPI-docsite/api/toc.html
+++ b/App/wwwroot/HiAPI-docsite/api/toc.html
@@ -1566,6 +1566,9 @@
                           <li>
                               <a href="Hi.Mech.Topo.IDynamicRegular.html" name="" title="IDynamicRegular">IDynamicRegular</a>
                           </li>
+                          <li>
+                              <a href="Hi.Mech.Topo.IDynamicRotation.html" name="" title="IDynamicRotation">IDynamicRotation</a>
+                          </li>
                           <li>
                               <a href="Hi.Mech.Topo.IDynamicTransformer.html" name="" title="IDynamicTransformer">IDynamicTransformer</a>
                           </li>
diff --git a/App/wwwroot/HiAPI-docsite/api/toc.json b/App/wwwroot/HiAPI-docsite/api/toc.json
index 53d6e71..6df22b4 100644
--- a/App/wwwroot/HiAPI-docsite/api/toc.json
+++ b/App/wwwroot/HiAPI-docsite/api/toc.json
@@ -1,2 +1,2 @@
 
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iningChainUtil","href":"Hi.Mech.MachiningChainUtil.html","topicHref":"Hi.Mech.MachiningChainUtil.html","topicUid":"Hi.Mech.MachiningChainUtil","type":"Class"}]},{"name":"Hi.Mech.Topo","href":"Hi.Mech.Topo.html","topicHref":"Hi.Mech.Topo.html","topicUid":"Hi.Mech.Topo","type":"Namespace","items":[{"name":"Anchor","href":"Hi.Mech.Topo.Anchor.html","topicHref":"Hi.Mech.Topo.Anchor.html","topicUid":"Hi.Mech.Topo.Anchor","type":"Class"},{"name":"AnchorFuncSource","href":"Hi.Mech.Topo.AnchorFuncSource.html","topicHref":"Hi.Mech.Topo.AnchorFuncSource.html","topicUid":"Hi.Mech.Topo.AnchorFuncSource","type":"Class"},{"name":"AnchoredBoxable","href":"Hi.Mech.Topo.AnchoredBoxable.html","topicHref":"Hi.Mech.Topo.AnchoredBoxable.html","topicUid":"Hi.Mech.Topo.AnchoredBoxable","type":"Class"},{"name":"AnchoredDisplayee","href":"Hi.Mech.Topo.AnchoredDisplayee.html","topicHref":"Hi.Mech.Topo.AnchoredDisplayee.html","topicUid":"Hi.Mech.Topo.AnchoredDisplayee","type":"Class"},{"name":"Asmb","href":"Hi.Mech.Topo.Asmb.html","topicHref":"Hi.Mech.Topo.Asmb.html","topicUid":"Hi.Mech.Topo.Asmb","type":"Class"},{"name":"AsmbDraw","href":"Hi.Mech.Topo.AsmbDraw.html","topicHref":"Hi.Mech.Topo.AsmbDraw.html","topicUid":"Hi.Mech.Topo.AsmbDraw","type":"Class"},{"name":"Branch","href":"Hi.Mech.Topo.Branch.html","topicHref":"Hi.Mech.Topo.Branch.html","topicUid":"Hi.Mech.Topo.Branch","type":"Class"},{"name":"DirectionBranchEntry","href":"Hi.Mech.Topo.DirectionBranchEntry.html","topicHref":"Hi.Mech.Topo.DirectionBranchEntry.html","topicUid":"Hi.Mech.Topo.DirectionBranchEntry","type":"Class"},{"name":"DirectionBranchPackUtil","href":"Hi.Mech.Topo.DirectionBranchPackUtil.html","topicHref":"Hi.Mech.Topo.DirectionBranchPackUtil.html","topicUid":"Hi.Mech.Topo.DirectionBranchPackUtil","type":"Class"},{"name":"DynamicFreeform","href":"Hi.Mech.Topo.DynamicFreeform.html","topicHref":"Hi.Mech.Topo.DynamicFreeform.html","topicUid":"Hi.Mech.Topo.DynamicFreeform","type":"Class"},{"name":"DynamicRotation","href":"Hi.Mech.Topo.DynamicRotation.html","topicHref":"Hi.Mech.Topo.DynamicRotation.html","topicUid":"Hi.Mech.Topo.DynamicRotation","type":"Class"},{"name":"DynamicTranslation","href":"Hi.Mech.Topo.DynamicTranslation.html","topicHref":"Hi.Mech.Topo.DynamicTranslation.html","topicUid":"Hi.Mech.Topo.DynamicTranslation","type":"Class"},{"name":"GeneralTransform","href":"Hi.Mech.Topo.GeneralTransform.html","topicHref":"Hi.Mech.Topo.GeneralTransform.html","topicUid":"Hi.Mech.Topo.GeneralTransform","type":"Class"},{"name":"IAnchoredDisplayee","href":"Hi.Mech.Topo.IAnchoredDisplayee.html","topicHref":"Hi.Mech.Topo.IAnchoredDisplayee.html","topicUid":"Hi.Mech.Topo.IAnchoredDisplayee","type":"Interface"},{"name":"IDynamicRegular","href":"Hi.Mech.Topo.IDynamicRegular.html","topicHref":"Hi.Mech.Topo.IDynamicRegular.html","topicUid":"Hi.Mech.Topo.IDynamicRegular","type":"Interface"},{"name":"IDynamicTransformer","href":"Hi.Mech.Topo.IDynamicTransformer.html","topicHref":"Hi.Mech.Topo.IDynamicTransformer.html","topicUid":"Hi.Mech.Topo.IDynamicTransformer","type":"Interface"},{"name":"IGetAnchor","href":"Hi.Mech.Topo.IGetAnchor.html","topicHref":"Hi.Mech.Topo.IGetAnchor.html","topicUid":"Hi.Mech.Topo.IGetAnchor","type":"Interface"},{"name":"IGetAnchoredDisplayeeList","href":"Hi.Mech.Topo.IGetAnchoredDisplayeeList.html","topicHref":"Hi.Mech.Topo.IGetAnchoredDisplayeeList.html","topicUid":"Hi.Mech.Topo.IGetAnchoredDisplayeeList","type":"Interface"},{"name":"IGetAsmb","href":"Hi.Mech.Topo.IGetAsmb.html","topicHref":"Hi.Mech.Topo.IGetAsmb.html","topicUid":"Hi.Mech.Topo.IGetAsmb","type":"Interface"},{"name":"IGetFletchBuckle","href":"Hi.Mech.Topo.IGetFletchBuckle.html","topicHref":"Hi.Mech.Topo.IGetFletchBuckle.html","topicUid":"Hi.Mech.Topo.IGetFletchBuckle","type":"Interface"},{"name":"IGetInverseTransformer","href":"Hi.Mech.Topo.IGetInverseTransformer.html","topicHref":"Hi.Mech.Topo.IGetInverseTransformer.html","topicUid":"Hi.Mech.Topo.IGetInverseTransformer","type":"Interface"},{"name":"IGetTopoIndex","href":"Hi.Mech.Topo.IGetTopoIndex.html","topicHref":"Hi.Mech.Topo.IGetTopoIndex.html","topicUid":"Hi.Mech.Topo.IGetTopoIndex","type":"Interface"},{"name":"IStaticTransformer","href":"Hi.Mech.Topo.IStaticTransformer.html","topicHref":"Hi.Mech.Topo.IStaticTransformer.html","topicUid":"Hi.Mech.Topo.IStaticTransformer","type":"Interface"},{"name":"ITopo","href":"Hi.Mech.Topo.ITopo.html","topicHref":"Hi.Mech.Topo.ITopo.html","topicUid":"Hi.Mech.Topo.ITopo","type":"Interface"},{"name":"ITopoDisplayee","href":"Hi.Mech.Topo.ITopoDisplayee.html","topicHref":"Hi.Mech.Topo.ITopoDisplayee.html","topicUid":"Hi.Mech.Topo.ITopoDisplayee","type":"Interface"},{"name":"ITransformer","href":"Hi.Mech.Topo.ITransformer.html","topicHref":"Hi.Mech.Topo.ITransformer.html","topicUid":"Hi.Mech.Topo.ITransformer","type":"Interface"},{"name":"ITransformerProperty","href":"Hi.Mech.Topo.ITransformerProperty.html","topicHref":"Hi.Mech.Topo.ITransformerProperty.html","topicUid":"Hi.Mech.Topo.ITransfo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iningChainUtil","href":"Hi.Mech.MachiningChainUtil.html","topicHref":"Hi.Mech.MachiningChainUtil.html","topicUid":"Hi.Mech.MachiningChainUtil","type":"Class"}]},{"name":"Hi.Mech.Topo","href":"Hi.Mech.Topo.html","topicHref":"Hi.Mech.Topo.html","topicUid":"Hi.Mech.Topo","type":"Namespace","items":[{"name":"Anchor","href":"Hi.Mech.Topo.Anchor.html","topicHref":"Hi.Mech.Topo.Anchor.html","topicUid":"Hi.Mech.Topo.Anchor","type":"Class"},{"name":"AnchorFuncSource","href":"Hi.Mech.Topo.AnchorFuncSource.html","topicHref":"Hi.Mech.Topo.AnchorFuncSource.html","topicUid":"Hi.Mech.Topo.AnchorFuncSource","type":"Class"},{"name":"AnchoredBoxable","href":"Hi.Mech.Topo.AnchoredBoxable.html","topicHref":"Hi.Mech.Topo.AnchoredBoxable.html","topicUid":"Hi.Mech.Topo.AnchoredBoxable","type":"Class"},{"name":"AnchoredDisplayee","href":"Hi.Mech.Topo.AnchoredDisplayee.html","topicHref":"Hi.Mech.Topo.AnchoredDisplayee.html","topicUid":"Hi.Mech.Topo.AnchoredDisplayee","type":"Class"},{"name":"Asmb","href":"Hi.Mech.Topo.Asmb.html","topicHref":"Hi.Mech.Topo.Asmb.html","topicUid":"Hi.Mech.Topo.Asmb","type":"Class"},{"name":"AsmbDraw","href":"Hi.Mech.Topo.AsmbDraw.html","topicHref":"Hi.Mech.Topo.AsmbDraw.html","topicUid":"Hi.Mech.Topo.AsmbDraw","type":"Class"},{"name":"Branch","href":"Hi.Mech.Topo.Branch.html","topicHref":"Hi.Mech.Topo.Branch.html","topicUid":"Hi.Mech.Topo.Branch","type":"Class"},{"name":"DirectionBranchEntry","href":"Hi.Mech.Topo.DirectionBranchEntry.html","topicHref":"Hi.Mech.Topo.DirectionBranchEntry.html","topicUid":"Hi.Mech.Topo.DirectionBranchEntry","type":"Class"},{"name":"DirectionBranchPackUtil","href":"Hi.Mech.Topo.DirectionBranchPackUtil.html","topicHref":"Hi.Mech.Topo.DirectionBranchPackUtil.html","topicUid":"Hi.Mech.Topo.DirectionBranchPackUtil","type":"Class"},{"name":"DynamicFreeform","href":"Hi.Mech.Topo.DynamicFreeform.html","topicHref":"Hi.Mech.Topo.DynamicFreeform.html","topicUid":"Hi.Mech.Topo.DynamicFreeform","type":"Class"},{"name":"DynamicRotation","href":"Hi.Mech.Topo.DynamicRotation.html","topicHref":"Hi.Mech.Topo.DynamicRotation.html","topicUid":"Hi.Mech.Topo.DynamicRotation","type":"Class"},{"name":"DynamicTranslation","href":"Hi.Mech.Topo.DynamicTranslation.html","topicHref":"Hi.Mech.Topo.DynamicTranslation.html","topicUid":"Hi.Mech.Topo.DynamicTranslation","type":"Class"},{"name":"GeneralTransform","href":"Hi.Mech.Topo.GeneralTransform.html","topicHref":"Hi.Mech.Topo.GeneralTransform.html","topicUid":"Hi.Mech.Topo.GeneralTransform","type":"Class"},{"name":"IAnchoredDisplayee","href":"Hi.Mech.Topo.IAnchoredDisplayee.html","topicHref":"Hi.Mech.Topo.IAnchoredDisplayee.html","topicUid":"Hi.Mech.Topo.IAnchoredDisplayee","type":"Interface"},{"name":"IDynamicRegular","href":"Hi.Mech.Topo.IDynamicRegular.html","topicHref":"Hi.Mech.Topo.IDynamicRegular.html","topicUid":"Hi.Mech.Topo.IDynamicRegular","type":"Interface"},{"name":"IDynamicRotation","href":"Hi.Mech.Topo.IDynamicRotation.html","topicHref":"Hi.Mech.Topo.IDynamicRotation.html","topicUid":"Hi.Mech.Topo.IDynamicRotation","type":"Interface"},{"name":"IDynamicTransformer","href":"Hi.Mech.Topo.IDynamicTransformer.html","topicHref":"Hi.Mech.Topo.IDynamicTransformer.html","topicUid":"Hi.Mech.Topo.IDynamicTransformer","type":"Interface"},{"name":"IGetAnchor","href":"Hi.Mech.Topo.IGetAnchor.html","topicHref":"Hi.Mech.Topo.IGetAnchor.html","topicUid":"Hi.Mech.Topo.IGetAnchor","type":"Interface"},{"name":"IGetAnchoredDisplayeeList","href":"Hi.Mech.Topo.IGetAnchoredDisplayeeList.html","topicHref":"Hi.Mech.Topo.IGetAnchoredDisplayeeList.html","topicUid":"Hi.Mech.Topo.IGetAnchoredDisplayeeList","type":"Interface"},{"name":"IGetAsmb","href":"Hi.Mech.Topo.IGetAsmb.html","topicHref":"Hi.Mech.Topo.IGetAsmb.html","topicUid":"Hi.Mech.Topo.IGetAsmb","type":"Interface"},{"name":"IGetFletchBuckle","href":"Hi.Mech.Topo.IGetFletchBuckle.html","topicHref":"Hi.Mech.Topo.IGetFletchBuckle.html","topicUid":"Hi.Mech.Topo.IGetFletchBuckle","type":"Interface"},{"name":"IGetInverseTransformer","href":"Hi.Mech.Topo.IGetInverseTransformer.html","topicHref":"Hi.Mech.Topo.IGetInverseTransformer.html","topicUid":"Hi.Mech.Topo.IGetInverseTransformer","type":"Interface"},{"name":"IGetTopoIndex","href":"Hi.Mech.Topo.IGetTopoIndex.html","topicHref":"Hi.Mech.Topo.IGetTopoIndex.html","topicUid":"Hi.Mech.Topo.IGetTopoIndex","type":"Interface"},{"name":"IStaticTransformer","href":"Hi.Mech.Topo.IStaticTransformer.html","topicHref":"Hi.Mech.Topo.IStaticTransformer.html","topicUid":"Hi.Mech.Topo.IStaticTransformer","type":"Interface"},{"name":"ITopo","href":"Hi.Mech.Topo.ITopo.html","topicHref":"Hi.Mech.Topo.ITopo.html","topicUid":"Hi.Mech.Topo.ITopo","type":"Interface"},{"name":"ITopoDisplayee","href":"Hi.Mech.Topo.ITopoDisplayee.html","topicHref":"Hi.Mech.Topo.ITopoDisplayee.html","topicUid":"Hi.Mech.Topo.ITopoDisplayee","type":"Interface"},{"name":"ITransformer","href":"Hi.Mech.Topo.ITransformer.html","topicHref":"Hi.Mech.Topo.ITransformer.html","topicUid":"Hi.Mech.Topo.ITransformer","t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diff --git a/App/wwwroot/HiAPI-docsite/dev-doc/build-hinc/message-section-on-main-panel.html b/App/wwwroot/HiAPI-docsite/dev-doc/build-hinc/message-section-on-main-panel.html
index 39d09b5..b800c30 100644
--- a/App/wwwroot/HiAPI-docsite/dev-doc/build-hinc/message-section-on-main-panel.html
+++ b/App/wwwroot/HiAPI-docsite/dev-doc/build-hinc/message-section-on-main-panel.html
@@ -89,7 +89,7 @@
 
 <p>The Message Section displays application messages and logs at the bottom of the Main Panel.</p>
 <h2 id="message-handling">Message Handling</h2>
-<p>The Message Section is connected to <a class="xref" href="../../api/Hi.Common.Messages.MessageHost.html">MessageHost</a>.<a class="xref" href="../../api/Hi.Common.Messages.MessageHost.html#Hi_Common_Messages_MessageHost_Default">Default</a> through the <code>OnAdding</code> event. When a message is added:</p>
+<p>The Message Section is connected to <a class="xref" href="../../api/Hi.Common.Messages.MessageHost.html">MessageHost</a>.<a class="xref" href="../../api/Hi.Common.Messages.MessageHost.html#Hi_Common_Messages_MessageHost_Default">Default</a> through the <code>ProgressChanged</code> event. When a message is reported:</p>
 <ol>
 <li>The <code>Brief Message Text Field</code> content is updated</li>
 <li>The message is appended to the daily log file at <code>logs/log-{DateTime.Now:yyyy-MM-dd}.txt</code></li>
diff --git a/App/wwwroot/HiAPI-docsite/dev-doc/release-note/index.html b/App/wwwroot/HiAPI-docsite/dev-doc/release-note/index.html
index 3c94627..34772e5 100644
--- a/App/wwwroot/HiAPI-docsite/dev-doc/release-note/index.html
+++ b/App/wwwroot/HiAPI-docsite/dev-doc/release-note/index.html
@@ -87,6 +87,14 @@
         <article data-uid="">
           <h1 id="release-note">Release Note</h1>
 
+<h2 id="hinc-packages-version-31149">HiNc Packages Version 3.1.149</h2>
+<ul>
+<li>Add cubetree geometry defect scanning (<a class="xref" href="../../api/Hi.MachiningProcs.RuntimeApi.html#Hi_MachiningProcs_RuntimeApi_ScanRuntimeGeomInfDefect_">ScanRuntimeGeomInfDefect</a>) and clearing (<a class="xref" href="../../api/Hi.MachiningProcs.RuntimeApi.html#Hi_MachiningProcs_RuntimeApi_ClearDefectDisplayee_">ClearDefectDisplayee</a>) for detecting and visualizing geometry anomalies in workpieces (see <a href="../../user-guide/zh-Hant/script/GeomDefect/index.html">幾何缺陷掃描</a>)</li>
+<li>Upgrade internal fraction representation to float128 precision for improved cubetree geometry accuracy and numerical stability</li>
+<li>Refactor messaging system from <code>IMessageHost</code> to standard <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.iprogress-1">IProgress&lt;T&gt;</a> pattern; <a class="xref" href="../../api/Hi.MachiningProcs.SessionMessageHost.html">SessionMessageHost</a> now implements <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.iprogress-1">IProgress&lt;T&gt;</a>, and all messaging methods renamed from <code>Add*</code> to <code>Report*</code> (e.g., <code>AddProgress</code> → <a class="xref" href="../../api/Hi.Common.Messages.MultiTagMessageUtil.html#Hi_Common_Messages_MultiTagMessageUtil_ReportProgress_">ReportProgress</a>)</li>
+<li>Fix cubetree initialization crash</li>
+<li>Add asynchronous anchor solid preparation on project load for improved startup performance</li>
+</ul>
 <h2 id="hinc-packages-version-31144">HiNc Packages Version 3.1.144</h2>
 <ul>
 <li>Enhance Siemens Sinumerik support:
diff --git a/App/wwwroot/HiAPI-docsite/index.json b/App/wwwroot/HiAPI-docsite/index.json
index 74b2ef7..b7dfe15 100644
--- a/App/wwwroot/HiAPI-docsite/index.json
+++ b/App/wwwroot/HiAPI-docsite/index.json
@@ -1372,7 +1372,7 @@
   "api/Hi.Geom.FractionStatus.html": {
     "href": "api/Hi.Geom.FractionStatus.html",
     "title": "Enum FractionStatus | HiAPI-C# 2025",
-    "summary": "Enum FractionStatus Namespace Hi.Geom Assembly HiDisp.dll Status flags for Fraction and NativeFraction. Corresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t. [Flags] public enum FractionStatus : short Extension Methods InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) MaskUtil.GetMaskedValue<T>(T, T, bool) MaskUtil.SetMask<T>(ref T, T, bool) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Fields IsEvaluated = 2 The fraction's double value has been evaluated and cached. IsPacked = 1 The fraction has been packed (reduced to irreducible form). None = 0 No flags set. The fraction is neither packed nor evaluated."
+    "summary": "Enum FractionStatus Namespace Hi.Geom Assembly HiDisp.dll Status flags for Fraction`1 and NativeFraction. Corresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t. [Flags] public enum FractionStatus : short Extension Methods InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) MaskUtil.GetMaskedValue<T>(T, T, bool) MaskUtil.SetMask<T>(ref T, T, bool) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Fields IsEvaluated = 2 The fraction's double value has been evaluated and cached. IsPacked = 1 The fraction has been packed (reduced to irreducible form). None = 0 No flags set. The fraction is neither packed nor evaluated."
   },
   "api/Hi.Geom.GeomCombination.html": {
     "href": "api/Hi.Geom.GeomCombination.html",
@@ -1452,7 +1452,7 @@
   "api/Hi.Geom.Mat4d.html": {
     "href": "api/Hi.Geom.Mat4d.html",
     "title": "Class Mat4d | HiAPI-C# 2025",
-    "summary": "Class Mat4d Namespace Hi.Geom Assembly HiGeom.dll 4x4 Matrix. public class Mat4d : IEquatable<Mat4d>, IBinaryIo, IWriteBin Inheritance object Mat4d Implements IEquatable<Mat4d> IBinaryIo IWriteBin Inherited Members object.Equals(object, object) object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) Extension Methods BinIoUtil.ToBytes(IWriteBin) DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors Mat4d() Initializes a new instance of the Mat4d class. public Mat4d() Mat4d(AxisAngle4d) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d(AxisAngle4d src) Parameters src AxisAngle4d src Mat4d(AxisAngle4d, Vec3d) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d(AxisAngle4d src, Vec3d pivot) Parameters src AxisAngle4d src pivot Vec3d rotation pivot Mat4d(Mat4d) copy constructor public Mat4d(Mat4d src) Parameters src Mat4d src Mat4d(Vec3d) Set this matrix to translation matrix. m(3,0)=trans.x; m(3,1)=trans.y; m(3,2)=trans.z. public Mat4d(Vec3d trans) Parameters trans Vec3d translation Mat4d(Vec3d, Vec3d, Vec3d, IndexFlag) Initializes a new instance of the Mat4d class from three vectors. public Mat4d(Vec3d v0, Vec3d v1, Vec3d v2, Mat4d.IndexFlag indexFlag = IndexFlag.ByColumn) Parameters v0 Vec3d The first vector. v1 Vec3d The second vector. v2 Vec3d The third vector. indexFlag Mat4d.IndexFlag Determines whether vectors are used as columns or rows in the matrix. Mat4d(Vec3d, double) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d(Vec3d axis, double rad) Parameters axis Vec3d rotation axis rad double radian Mat4d(Vec3d, double, Vec3d) A matrix rotate at pivot along axis by angle rad. public Mat4d(Vec3d axis, double rad, Vec3d pivot) Parameters axis Vec3d rotate axis rad double angle pivot Vec3d rotate pivot Mat4d(mat4d) Ctor by Set(mat4d). public Mat4d(mat4d src) Parameters src mat4d src Mat4d(IEnumerable<double>) Initializes a new instance of the Mat4d class from an enumerable of double values. Takes the first 16 values from the enumerable. public Mat4d(IEnumerable<double> src) Parameters src IEnumerable<double> The enumerable collection of double values. Mat4d(double) a scale matrix which is I*scale. Where I is an identity matrix. public Mat4d(double scale) Parameters scale double scale Mat4d(double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double) constructor public Mat4d(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33) Parameters m00 double value at (0,0) m01 double value at (0,1) m02 double value at (0,2) m03 double value at (0,3) m10 double value at (1,0) m11 double value at (1,1) m12 double value at (1,2) m13 double value at (1,3) m20 double value at (2,0) m21 double value at (2,1) m22 double value at (2,2) m23 double value at (2,3) m30 double value at (3,0) m31 double value at (3,1) m32 double value at (3,2) m33 double value at (3,3) Mat4d(double[]) constructor public Mat4d(double[] src) Parameters src double[] src Mat4d(BinaryReader) Ctor. public Mat4d(BinaryReader reader) Parameters reader BinaryReader reader Mat4d(string) Ctor by Set(string). public Mat4d(string str) Parameters str string src Fields m Column-major matrix in form of array. public double[] m Field Value double[] Properties AxialNormal Vec3d on 2th row. It usually is tool normal. public Vec3d AxialNormal { get; } Property Value Vec3d AxisAngle Gets the axis-angle representation of the rotation component of this matrix. public AxisAngle4d AxisAngle { get; } Property Value AxisAngle4d Determinant Gets the determinant of this matrix. public double Determinant { get; } Property Value double The determinant value. Idt Generate identity matrix. public static Mat4d Idt { get; } Property Value Mat4d IsAllNaN Gets a value indicating whether all elements of this matrix are NaN. public bool IsAllNaN { get; } Property Value bool IsFinite Gets a value indicating whether all elements of this matrix are finite numbers. public bool IsFinite { get; } Property Value bool IsRotate Gets a value indicating whether this matrix represents a pure rotation. public bool IsRotate { get; } Property Value bool MatScale Gets the scale factor of the matrix, calculated as the cube root of the determinant without translation. public double MatScale { get; } Property Value double NaN Generate matrix that all elements are nan. public static Mat4d NaN { get; } Property Value Mat4d NativeByteSize public static int NativeByteSize { get; } Property Value int Byte size: sizeof(double) * 3. NoTransMat Generate new matrix that the translation part is zero. i.e. (m[12],m[13],m[14])=(0,0,0). public Mat4d NoTransMat { get; } Property Value Mat4d Pn Pn: the abbr. of Point and Normal. The value is new DVec3d(m[12], m[13], m[14], m[8], m[9], m[10]) public DVec3d Pn { get; } Property Value DVec3d Trans Translation. The value is Vec3d(m[12], m[13], m[14]). public Vec3d Trans { get; set; } Property Value Vec3d TransposeMat Gets a new matrix that is the transpose of this matrix. public Mat4d TransposeMat { get; } Property Value Mat4d Zero Generate zero matrix. public static Mat4d Zero { get; } Property Value Mat4d Methods AdjustSingularValueByTolerance(double) Adjusts matrix values that are close to 0, 1, or -1 (within the specified tolerance) to exactly those values. public Mat4d AdjustSingularValueByTolerance(double tolerance) Parameters tolerance double The tolerance threshold for considering values close to 0, 1, or -1. Returns Mat4d This matrix after adjustment. At(int, int) Gets a reference to the matrix element at the specified row and column. public ref double At(int i, int j) Parameters i int The row index (0-based). j int The column index (0-based). Returns double A reference to the matrix element. Equals(Mat4d) Indicates whether the current object is equal to another object of the same type. public bool Equals(Mat4d other) Parameters other Mat4d An object to compare with this object. Returns bool true if the current object is equal to the other parameter; otherwise, false. Equals(object) Determines whether the specified object is equal to the current object. public override bool Equals(object obj) Parameters obj object The object to compare with the current object. Returns bool true if the specified object is equal to the current object; otherwise, false. EqualsByTolerance(Mat4d, double) Determines whether this matrix is equal to another matrix within a specified tolerance. public bool EqualsByTolerance(Mat4d other, double tolerance) Parameters other Mat4d The matrix to compare with this matrix. tolerance double The maximum absolute difference between matrix elements for them to be considered equal. Returns bool true if the matrices are equal within the specified tolerance; otherwise, false. FilledMat(double) Creates a matrix with all elements set to the specified value. public static Mat4d FilledMat(double v) Parameters v double The value to fill all elements with. Returns Mat4d A new matrix with all elements set to the specified value. FixFloatingZero(double) Fixes floating-point values that are close to zero by setting them to exactly zero. public Mat4d FixFloatingZero(double floatingZeroTolerance = 1E-12) Parameters floatingZeroTolerance double The tolerance below which values are considered zero. Default is 1e-12. Returns Mat4d This matrix instance for method chaining. GetHashCode() Serves as the default hash function. public override int GetHashCode() Returns int A hash code for the current object. GetInverse() Gets the inverse. public Mat4d GetInverse() Returns Mat4d Inverse matrix GetScaleMat(double) Creates a new matrix by scaling this matrix by the specified factor. public Mat4d GetScaleMat(double scale) Parameters scale double The scale factor to apply. Returns Mat4d A new scaled matrix. GetTransform(Func<double, double>) Creates a new matrix with all elements transformed by the specified function. public Mat4d GetTransform(Func<double, double> transformingFunc) Parameters transformingFunc Func<double, double> The function to apply to each matrix element. Returns Mat4d A new matrix with transformed elements. Inverse() Inverses this instance. public Mat4d Inverse() Returns Mat4d this ReadBin(BinaryReader) Reads binary data to initialize the object. public void ReadBin(BinaryReader reader) Parameters reader BinaryReader The binary reader to read from Scale(double) Scales the specified s. public Mat4d Scale(double s) Parameters s double The s. Returns Mat4d this Set(AxisAngle4d) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d Set(AxisAngle4d src) Parameters src AxisAngle4d src Returns Mat4d this Set(Mat4d) copy the data from src to this. public Mat4d Set(Mat4d src) Parameters src Mat4d src Returns Mat4d this Set(Vec3d) Set this matrix to translation matrix. m(3,0)=trans.x; m(3,1)=trans.y; m(3,2)=trans.z. public Mat4d Set(Vec3d trans) Parameters trans Vec3d translation Returns Mat4d this Set(Vec3d, double) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d Set(Vec3d axis, double rad) Parameters axis Vec3d rotation axis rad double radian Returns Mat4d this Set(Vec3d, double, Vec3d) Set the matrix rotation at pivot along axis by angle rad. public Mat4d Set(Vec3d axis, double rad, Vec3d pivot) Parameters axis Vec3d rotation axis rad double angle pivot Vec3d rotation pivot Returns Mat4d this Set(mat4d) Set the data by src. public Mat4d Set(mat4d src) Parameters src mat4d src Returns Mat4d this Set(double) The matrix will be reset to a scale matrix which is I*scale. Where I is an identity matrix. public Mat4d Set(double scale) Parameters scale double scale Returns Mat4d this Set(double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double) constructor public Mat4d Set(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33) Parameters m00 double value at (0,0) m01 double value at (0,1) m02 double value at (0,2) m03 double value at (0,3) m10 double value at (1,0) m11 double value at (1,1) m12 double value at (1,2) m13 double value at (1,3) m20 double value at (2,0) m21 double value at (2,1) m22 double value at (2,2) m23 double value at (2,3) m30 double value at (3,0) m31 double value at (3,1) m32 double value at (3,2) m33 double value at (3,3) Returns Mat4d this Set(int, int, double) Sets the value of the matrix element at the specified row and column. public void Set(int i, int j, double v) Parameters i int The row index (0-based). j int The column index (0-based). v double The value to set. Set(string) Set data by str. The format is {0,1,2,3,...,15} public Mat4d Set(string str) Parameters str string src Returns Mat4d this SetIdt() Set this instance to identity matrix. public void SetIdt() SetNoTrans() Sets the translation components of this matrix to zero. public Mat4d SetNoTrans() Returns Mat4d This matrix with translation components set to zero. ToBriefString() To brief string. public string ToBriefString() Returns string brief string. ToLinesString() Converts the matrix to a multi-line string representation with aligned columns. public string ToLinesString() Returns string A formatted multi-line string representation of the matrix. ToString() Returns a string that represents the current object. public override string ToString() Returns string A string that represents the current object. Transform(Func<double, double>) Transforms all matrix elements in-place using the specified transformation function. public Mat4d Transform(Func<double, double> transformingFunc) Parameters transformingFunc Func<double, double> The function to apply to each matrix element. Returns Mat4d This matrix instance for method chaining. Transpose() Transposes this matrix in place. public Mat4d Transpose() Returns Mat4d This matrix after transposition. WriteBin(BinaryWriter) Writes the object's data to a binary stream. public void WriteBin(BinaryWriter writer) Parameters writer BinaryWriter The binary writer to write to Operators operator +(Mat4d, Mat4d) Adds two matrices element-wise. public static Mat4d operator +(Mat4d a, Mat4d b) Parameters a Mat4d The first matrix. b Mat4d The second matrix. Returns Mat4d A new matrix that is the sum of the two matrices. operator /(Mat4d, double) Divides a matrix by a scalar value. public static Mat4d operator /(Mat4d a, double b) Parameters a Mat4d The matrix to divide. b double The scalar divisor. Returns Mat4d A new matrix with all elements divided by the scalar. operator ==(Mat4d, Mat4d) Determines whether two matrices are equal. public static bool operator ==(Mat4d a, Mat4d b) Parameters a Mat4d The first matrix. b Mat4d The second matrix. Returns bool true if the matrices are equal; otherwise, false. operator !=(Mat4d, Mat4d) Determines whether two matrices are not equal. public static bool operator !=(Mat4d a, Mat4d b) Parameters a Mat4d The first matrix. b Mat4d The second matrix. Returns bool true if the matrices are not equal; otherwise, false. operator *(Mat4d, DVec3d) Multiple matrxi to cutter location (Point and Normal). public static DVec3d operator *(Mat4d m, DVec3d v) Parameters m Mat4d matrix v DVec3d point and normal Returns DVec3d transformed point and normal operator *(Mat4d, Mat4d) Multiplies two matrices. public static Mat4d operator *(Mat4d a, Mat4d b) Parameters a Mat4d The first matrix. b Mat4d The second matrix. Returns Mat4d A new matrix that is the product of the two matrices. operator *(Mat4d, Vec3d) Multiplies a matrix by a vector, transforming the vector. public static Vec3d operator *(Mat4d a, Vec3d b) Parameters a Mat4d The transformation matrix. b Vec3d The vector to transform. Returns Vec3d The transformed vector. operator *(Mat4d, double) Multiplies a matrix by a scalar value. public static Mat4d operator *(Mat4d a, double s) Parameters a Mat4d The matrix to multiply. s double The scalar value. Returns Mat4d A new matrix with all elements multiplied by the scalar. operator -(Mat4d, Mat4d) Subtracts the second matrix from the first matrix element-wise. public static Mat4d operator -(Mat4d a, Mat4d b) Parameters a Mat4d The matrix to subtract from. b Mat4d The matrix to subtract. Returns Mat4d A new matrix that is the difference of the two matrices. operator -(Mat4d) Returns the negation of the specified matrix. public static Mat4d operator -(Mat4d src) Parameters src Mat4d The source matrix. Returns Mat4d A new matrix with all elements negated."
+    "summary": "Class Mat4d Namespace Hi.Geom Assembly HiGeom.dll 4x4 Matrix. public class Mat4d : IEquatable<Mat4d>, IBinaryIo, IWriteBin Inheritance object Mat4d Implements IEquatable<Mat4d> IBinaryIo IWriteBin Inherited Members object.Equals(object, object) object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) Extension Methods BinIoUtil.ToBytes(IWriteBin) DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors Mat4d() Initializes a new instance of the Mat4d class. public Mat4d() Mat4d(AxisAngle4d) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d(AxisAngle4d src) Parameters src AxisAngle4d src Mat4d(AxisAngle4d, Vec3d) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d(AxisAngle4d src, Vec3d pivot) Parameters src AxisAngle4d src pivot Vec3d rotation pivot Mat4d(Mat4d) copy constructor public Mat4d(Mat4d src) Parameters src Mat4d src Mat4d(Vec3d) Set this matrix to translation matrix. m(3,0)=trans.x; m(3,1)=trans.y; m(3,2)=trans.z. public Mat4d(Vec3d trans) Parameters trans Vec3d translation Mat4d(Vec3d, Vec3d, Vec3d, IndexFlag) Initializes a new instance of the Mat4d class from three vectors. public Mat4d(Vec3d v0, Vec3d v1, Vec3d v2, Mat4d.IndexFlag indexFlag = IndexFlag.ByColumn) Parameters v0 Vec3d The first vector. v1 Vec3d The second vector. v2 Vec3d The third vector. indexFlag Mat4d.IndexFlag Determines whether vectors are used as columns or rows in the matrix. Mat4d(Vec3d, double) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d(Vec3d axis, double rad) Parameters axis Vec3d rotation axis rad double radian Mat4d(Vec3d, double, Vec3d) A matrix rotate at pivot along axis by angle rad. public Mat4d(Vec3d axis, double rad, Vec3d pivot) Parameters axis Vec3d rotate axis rad double angle pivot Vec3d rotate pivot Mat4d(mat4d) Ctor by Set(mat4d). public Mat4d(mat4d src) Parameters src mat4d src Mat4d(IEnumerable<double>) Initializes a new instance of the Mat4d class from an enumerable of double values. Takes the first 16 values from the enumerable. public Mat4d(IEnumerable<double> src) Parameters src IEnumerable<double> The enumerable collection of double values. Mat4d(double) a scale matrix which is I*scale. Where I is an identity matrix. public Mat4d(double scale) Parameters scale double scale Mat4d(double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double) constructor public Mat4d(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33) Parameters m00 double value at (0,0) m01 double value at (0,1) m02 double value at (0,2) m03 double value at (0,3) m10 double value at (1,0) m11 double value at (1,1) m12 double value at (1,2) m13 double value at (1,3) m20 double value at (2,0) m21 double value at (2,1) m22 double value at (2,2) m23 double value at (2,3) m30 double value at (3,0) m31 double value at (3,1) m32 double value at (3,2) m33 double value at (3,3) Mat4d(double[]) constructor public Mat4d(double[] src) Parameters src double[] src Mat4d(BinaryReader) Ctor. public Mat4d(BinaryReader reader) Parameters reader BinaryReader reader Mat4d(string) Ctor by Set(string). public Mat4d(string str) Parameters str string src Fields m Column-major matrix in form of array. public double[] m Field Value double[] Properties AxialNormal Vec3d on 2th row. It usually is tool normal. public Vec3d AxialNormal { get; } Property Value Vec3d AxisAngle Gets the axis-angle representation of the rotation component of this matrix. public AxisAngle4d AxisAngle { get; } Property Value AxisAngle4d Determinant Gets the determinant of this matrix. public double Determinant { get; } Property Value double The determinant value. Idt Generate identity matrix. public static Mat4d Idt { get; } Property Value Mat4d IsAllNaN Gets a value indicating whether all elements of this matrix are NaN. public bool IsAllNaN { get; } Property Value bool IsFinite Gets a value indicating whether all elements of this matrix are finite numbers. public bool IsFinite { get; } Property Value bool IsRotate Gets a value indicating whether this matrix represents a pure rotation. public bool IsRotate { get; } Property Value bool MatScale Gets the scale factor of the matrix, calculated as the cube root of the determinant without translation. public double MatScale { get; } Property Value double NaN Generate matrix that all elements are nan. public static Mat4d NaN { get; } Property Value Mat4d NativeByteSize public static int NativeByteSize { get; } Property Value int Byte size: sizeof(double) * 3. NoTransMat Generate new matrix that the translation part is zero. i.e. (m[12],m[13],m[14])=(0,0,0). public Mat4d NoTransMat { get; } Property Value Mat4d Np Np: the abbr. of Normal and Point. The value is new DVec3d(m[12], m[13], m[14], m[8], m[9], m[10]) public DVec3d Np { get; } Property Value DVec3d Trans Translation. The value is Vec3d(m[12], m[13], m[14]). public Vec3d Trans { get; set; } Property Value Vec3d TransposeMat Gets a new matrix that is the transpose of this matrix. public Mat4d TransposeMat { get; } Property Value Mat4d Zero Generate zero matrix. public static Mat4d Zero { get; } Property Value Mat4d Methods AdjustSingularValueByTolerance(double) Adjusts matrix values that are close to 0, 1, or -1 (within the specified tolerance) to exactly those values. public Mat4d AdjustSingularValueByTolerance(double tolerance) Parameters tolerance double The tolerance threshold for considering values close to 0, 1, or -1. Returns Mat4d This matrix after adjustment. At(int, int) Gets a reference to the matrix element at the specified row and column. public ref double At(int i, int j) Parameters i int The row index (0-based). j int The column index (0-based). Returns double A reference to the matrix element. Equals(Mat4d) Indicates whether the current object is equal to another object of the same type. public bool Equals(Mat4d other) Parameters other Mat4d An object to compare with this object. Returns bool true if the current object is equal to the other parameter; otherwise, false. Equals(object) Determines whether the specified object is equal to the current object. public override bool Equals(object obj) Parameters obj object The object to compare with the current object. Returns bool true if the specified object is equal to the current object; otherwise, false. EqualsByTolerance(Mat4d, double) Determines whether this matrix is equal to another matrix within a specified tolerance. public bool EqualsByTolerance(Mat4d other, double tolerance) Parameters other Mat4d The matrix to compare with this matrix. tolerance double The maximum absolute difference between matrix elements for them to be considered equal. Returns bool true if the matrices are equal within the specified tolerance; otherwise, false. FilledMat(double) Creates a matrix with all elements set to the specified value. public static Mat4d FilledMat(double v) Parameters v double The value to fill all elements with. Returns Mat4d A new matrix with all elements set to the specified value. FixFloatingZero(double) Fixes floating-point values that are close to zero by setting them to exactly zero. public Mat4d FixFloatingZero(double floatingZeroTolerance = 1E-12) Parameters floatingZeroTolerance double The tolerance below which values are considered zero. Default is 1e-12. Returns Mat4d This matrix instance for method chaining. GetHashCode() Serves as the default hash function. public override int GetHashCode() Returns int A hash code for the current object. GetInverse() Gets the inverse. public Mat4d GetInverse() Returns Mat4d Inverse matrix GetScaleMat(double) Creates a new matrix by scaling this matrix by the specified factor. public Mat4d GetScaleMat(double scale) Parameters scale double The scale factor to apply. Returns Mat4d A new scaled matrix. GetTransform(Func<double, double>) Creates a new matrix with all elements transformed by the specified function. public Mat4d GetTransform(Func<double, double> transformingFunc) Parameters transformingFunc Func<double, double> The function to apply to each matrix element. Returns Mat4d A new matrix with transformed elements. Inverse() Inverses this instance. public Mat4d Inverse() Returns Mat4d this ReadBin(BinaryReader) Reads binary data to initialize the object. public void ReadBin(BinaryReader reader) Parameters reader BinaryReader The binary reader to read from Scale(double) Scales the specified s. public Mat4d Scale(double s) Parameters s double The s. Returns Mat4d this Set(AxisAngle4d) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d Set(AxisAngle4d src) Parameters src AxisAngle4d src Returns Mat4d this Set(Mat4d) copy the data from src to this. public Mat4d Set(Mat4d src) Parameters src Mat4d src Returns Mat4d this Set(Vec3d) Set this matrix to translation matrix. m(3,0)=trans.x; m(3,1)=trans.y; m(3,2)=trans.z. public Mat4d Set(Vec3d trans) Parameters trans Vec3d translation Returns Mat4d this Set(Vec3d, double) Set this matrix to rotation matrix. The matrix is rotate along axis with given radian. public Mat4d Set(Vec3d axis, double rad) Parameters axis Vec3d rotation axis rad double radian Returns Mat4d this Set(Vec3d, double, Vec3d) Set the matrix rotation at pivot along axis by angle rad. public Mat4d Set(Vec3d axis, double rad, Vec3d pivot) Parameters axis Vec3d rotation axis rad double angle pivot Vec3d rotation pivot Returns Mat4d this Set(mat4d) Set the data by src. public Mat4d Set(mat4d src) Parameters src mat4d src Returns Mat4d this Set(double) The matrix will be reset to a scale matrix which is I*scale. Where I is an identity matrix. public Mat4d Set(double scale) Parameters scale double scale Returns Mat4d this Set(double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double) constructor public Mat4d Set(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33) Parameters m00 double value at (0,0) m01 double value at (0,1) m02 double value at (0,2) m03 double value at (0,3) m10 double value at (1,0) m11 double value at (1,1) m12 double value at (1,2) m13 double value at (1,3) m20 double value at (2,0) m21 double value at (2,1) m22 double value at (2,2) m23 double value at (2,3) m30 double value at (3,0) m31 double value at (3,1) m32 double value at (3,2) m33 double value at (3,3) Returns Mat4d this Set(int, int, double) Sets the value of the matrix element at the specified row and column. public void Set(int i, int j, double v) Parameters i int The row index (0-based). j int The column index (0-based). v double The value to set. Set(string) Set data by str. The format is {0,1,2,3,...,15} public Mat4d Set(string str) Parameters str string src Returns Mat4d this SetIdt() Set this instance to identity matrix. public void SetIdt() SetNoTrans() Sets the translation components of this matrix to zero. public Mat4d SetNoTrans() Returns Mat4d This matrix with translation components set to zero. ToBriefString() To brief string. public string ToBriefString() Returns string brief string. ToLinesString() Converts the matrix to a multi-line string representation with aligned columns. public string ToLinesString() Returns string A formatted multi-line string representation of the matrix. ToString() Returns a string that represents the current object. public override string ToString() Returns string A string that represents the current object. Transform(Func<double, double>) Transforms all matrix elements in-place using the specified transformation function. public Mat4d Transform(Func<double, double> transformingFunc) Parameters transformingFunc Func<double, double> The function to apply to each matrix element. Returns Mat4d This matrix instance for method chaining. Transpose() Transposes this matrix in place. public Mat4d Transpose() Returns Mat4d This matrix after transposition. WriteBin(BinaryWriter) Writes the object's data to a binary stream. public void WriteBin(BinaryWriter writer) Parameters writer BinaryWriter The binary writer to write to Operators operator +(Mat4d, Mat4d) Adds two matrices element-wise. public static Mat4d operator +(Mat4d a, Mat4d b) Parameters a Mat4d The first matrix. b Mat4d The second matrix. Returns Mat4d A new matrix that is the sum of the two matrices. operator /(Mat4d, double) Divides a matrix by a scalar value. public static Mat4d operator /(Mat4d a, double b) Parameters a Mat4d The matrix to divide. b double The scalar divisor. Returns Mat4d A new matrix with all elements divided by the scalar. operator ==(Mat4d, Mat4d) Determines whether two matrices are equal. public static bool operator ==(Mat4d a, Mat4d b) Parameters a Mat4d The first matrix. b Mat4d The second matrix. Returns bool true if the matrices are equal; otherwise, false. operator !=(Mat4d, Mat4d) Determines whether two matrices are not equal. public static bool operator !=(Mat4d a, Mat4d b) Parameters a Mat4d The first matrix. b Mat4d The second matrix. Returns bool true if the matrices are not equal; otherwise, false. operator *(Mat4d, DVec3d) Multiple matrxi to cutter location (Point and Normal). public static DVec3d operator *(Mat4d m, DVec3d v) Parameters m Mat4d matrix v DVec3d point and normal Returns DVec3d transformed point and normal operator *(Mat4d, Mat4d) Multiplies two matrices. public static Mat4d operator *(Mat4d a, Mat4d b) Parameters a Mat4d The first matrix. b Mat4d The second matrix. Returns Mat4d A new matrix that is the product of the two matrices. operator *(Mat4d, Vec3d) Multiplies a matrix by a vector, transforming the vector. public static Vec3d operator *(Mat4d a, Vec3d b) Parameters a Mat4d The transformation matrix. b Vec3d The vector to transform. Returns Vec3d The transformed vector. operator *(Mat4d, double) Multiplies a matrix by a scalar value. public static Mat4d operator *(Mat4d a, double s) Parameters a Mat4d The matrix to multiply. s double The scalar value. Returns Mat4d A new matrix with all elements multiplied by the scalar. operator -(Mat4d, Mat4d) Subtracts the second matrix from the first matrix element-wise. public static Mat4d operator -(Mat4d a, Mat4d b) Parameters a Mat4d The matrix to subtract from. b Mat4d The matrix to subtract. Returns Mat4d A new matrix that is the difference of the two matrices. operator -(Mat4d) Returns the negation of the specified matrix. public static Mat4d operator -(Mat4d src) Parameters src Mat4d The source matrix. Returns Mat4d A new matrix with all elements negated."
   },
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     "href": "api/Hi.Geom.MathNetUtil.html",
@@ -1557,7 +1557,7 @@
   "api/Hi.Geom.Solvers.SolverUtil.html": {
     "href": "api/Hi.Geom.Solvers.SolverUtil.html",
     "title": "Class SolverUtil | HiAPI-C# 2025",
-    "summary": "Class SolverUtil Namespace Hi.Geom.Solvers Assembly HiGeom.dll Utility class providing advanced numerical solving methods for systems of equations. public static class SolverUtil Inheritance object SolverUtil Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Properties LinearSlowIterationFunc Gets a linear function for slow iteration convergence. public static Func<double, double> LinearSlowIterationFunc { get; } Property Value Func<double, double> LogSlowIterationFunc Gets a logarithmic function for slow iteration convergence. public static Func<double, double> LogSlowIterationFunc { get; } Property Value Func<double, double> Methods DeepSolveArray(Func<double[], double[]>, int, double[], double[], double, Func<double, double>, int, int, int) Performs deep solving of a function with multiple parameters. public static IEnumerable<DeepSolvingStatus> DeepSolveArray(Func<double[], double[]> func, int outputNum, double[] para, double[] dpara, double convergenceLimit, Func<double, double> slowIterationFunc = null, int maxDirectIteration = 6, int maxSlowIteration = 6, int maxTotalIteration = 1200) Parameters func Func<double[], double[]> The function to solve. outputNum int The number of output values. para double[] The initial parameter values. dpara double[] The parameter delta values. convergenceLimit double The convergence limit. slowIterationFunc Func<double, double> The function for slow iteration. maxDirectIteration int The maximum number of direct iterations. maxSlowIteration int The maximum number of slow iterations. maxTotalIteration int The maximum total number of iterations. Returns IEnumerable<DeepSolvingStatus> An enumerable of deep solving status objects. GetApproxInv(double[,], double) Calculates an approximate inverse of a matrix using SVD decomposition. public static double[,] GetApproxInv(double[,] mat, double availableAccumulatedWeightRatio = 0.99999999) Parameters mat double[,] The input matrix. availableAccumulatedWeightRatio double The ratio of accumulated weights to consider. Returns double[,] The approximate inverse matrix. GetApproxInvAndOrthogonalPaces(double[,], out List<(double eigenValue, double[] v)>) Calculates an approximate inverse of a matrix and returns orthogonal paces using SVD decomposition. public static double[,] GetApproxInvAndOrthogonalPaces(double[,] mat, out List<(double eigenValue, double[] v)> orthogonalPaces) Parameters mat double[,] The input matrix. orthogonalPaces List<(double eigenValue, double[] v)> The output list of orthogonal paces with eigenvalues and eigenvectors. Returns double[,] The approximate inverse matrix. GetBiases(Func<double[], double[]>, double[], double[]) Calculates the bias values between function outputs and target values. public static double[] GetBiases(Func<double[], double[]> func, double[] paras, double[] targets) Parameters func Func<double[], double[]> The function to evaluate. paras double[] The parameter values. targets double[] The target values. Returns double[] The bias values. GetCosSinTermRotationMat4d(Vec3d, double, double) public static Mat4d GetCosSinTermRotationMat4d(Vec3d axis, double cos, double sin) Parameters axis Vec3d cos double sin double Returns Mat4d GetCosSinTermRotationMat4d(Vec3d, double, double, Vec3d) public static Mat4d GetCosSinTermRotationMat4d(Vec3d axis, double cos, double sin, Vec3d pivot) Parameters axis Vec3d cos double sin double pivot Vec3d Returns Mat4d GetJacobMat(Func<double[], double[]>, double[], double[], int) Calculates the Jacobian matrix for a function. public static double[,] GetJacobMat(Func<double[], double[]> func, double[] paras, double[] dparas, int targetNum) Parameters func Func<double[], double[]> The function to evaluate. paras double[] The parameter values. dparas double[] The parameter delta values. targetNum int The number of target values. Returns double[,] The Jacobian matrix. GetParasCompensation(Func<double[], double[]>, double[], double[], double[], out double[,]) Gets parameter compensation values based on the function, current parameters, parameter deltas, and target values. public static double[] GetParasCompensation(Func<double[], double[]> func, double[] paras, double[] dparas, double[] targets, out double[,] jacob) Parameters func Func<double[], double[]> The function to evaluate. paras double[] The current parameter values. dparas double[] The parameter delta values. targets double[] The target values. jacob double[,] The output Jacobian matrix. Returns double[] The parameter compensation values. GetParasCompensation(Func<double[], double[]>, double[], double[], double[], double[], out double[,]) Gets parameter compensation values based on the function, current parameters, parameter deltas, target values, and biases. public static double[] GetParasCompensation(Func<double[], double[]> func, double[] paras, double[] dparas, double[] targets, double[] biases, out double[,] jacob) Parameters func Func<double[], double[]> The function to evaluate. paras double[] The current parameter values. dparas double[] The parameter delta values. targets double[] The target values. biases double[] The bias values. jacob double[,] The output Jacobian matrix. Returns double[] The parameter compensation values. GetParasCompensations(Func<double[], double[]>, double[], double[], int, double[], out double[,]) Gets multiple parameter compensation values for a function. public static List<double[]> GetParasCompensations(Func<double[], double[]> func, double[] paras, double[] dparas, int outputNum, double[] biases, out double[,] jacob) Parameters func Func<double[], double[]> The function to evaluate. paras double[] The parameter values. dparas double[] The parameter delta values. outputNum int The number of output values. biases double[] The bias values. jacob double[,] The output Jacobian matrix. Returns List<double[]> A list of parameter compensation values. Solve(Func<double, double>, double, double, double, double, int) Solves a one-dimensional function for a target value. public static IEnumerable<SolvingResult> Solve(Func<double, double> func, double para, double dpara, double target, double convergenceLimit, int maxIteration = 12) Parameters func Func<double, double> The function to solve para double Initial parameter value dpara double Parameter step size for calculating derivatives target double Target value to solve for convergenceLimit double Convergence limit (acceptable error) maxIteration int Maximum number of iterations Returns IEnumerable<SolvingResult> A sequence of solving result objects showing the progress of the solution SolveArray(Func<double[], double[]>, double[], double[], double[], Func<double[], double>, double, int) Solves a multi-dimensional function for specified target values with a custom convergence function. public static IEnumerable<SolvingResult> SolveArray(Func<double[], double[]> func, double[] paras, double[] dparas, double[] targets, Func<double[], double> convergenceFunc, double convergenceLimit, int maxIteration = 12) Parameters func Func<double[], double[]> The function to solve paras double[] Initial parameter values dparas double[] Parameter step sizes for calculating derivatives targets double[] Target values to solve for convergenceFunc Func<double[], double> Function to calculate convergence from biases convergenceLimit double Convergence limit (acceptable error) maxIteration int Maximum number of iterations Returns IEnumerable<SolvingResult> A sequence of solving result objects showing the progress of the solution SolveArray(Func<double[], double[]>, double[], double[], int, double, int) Solves a multi-dimensional function with default convergence function. public static IEnumerable<SolvingResult> SolveArray(Func<double[], double[]> func, double[] paras, double[] dparas, int funcDstNum, double convergenceLimit, int maxIteration = 12) Parameters func Func<double[], double[]> The function to solve paras double[] Initial parameter values dparas double[] Parameter step sizes for calculating derivatives funcDstNum int Number of output values from the function convergenceLimit double Convergence limit (acceptable error) maxIteration int Maximum number of iterations Returns IEnumerable<SolvingResult> A sequence of solving result objects showing the progress of the solution SolveArray(Func<double[], double[]>, double[], double[], int, Func<double[], double>, double, int) Solves a multi-dimensional function with a specified convergence function. public static IEnumerable<SolvingResult> SolveArray(Func<double[], double[]> func, double[] paras, double[] dparas, int funcDstNum, Func<double[], double> convergenceFunc, double convergenceLimit, int maxIteration = 12) Parameters func Func<double[], double[]> The function to solve paras double[] Initial parameter values dparas double[] Parameter step sizes for calculating derivatives funcDstNum int Number of output values from the function convergenceFunc Func<double[], double> Function to calculate convergence from biases convergenceLimit double Convergence limit (acceptable error) maxIteration int Maximum number of iterations Returns IEnumerable<SolvingResult> A sequence of solving result objects showing the progress of the solution Test() Internal Use Only public static void Test() Test2() Internal Use Only public static void Test2()"
+    "summary": "Class SolverUtil Namespace Hi.Geom.Solvers Assembly HiGeom.dll Utility class providing advanced numerical solving methods for systems of equations. public static class SolverUtil Inheritance object SolverUtil Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Properties LinearSlowIterationFunc Gets a linear function for slow iteration convergence. public static Func<double, double> LinearSlowIterationFunc { get; } Property Value Func<double, double> LogSlowIterationFunc Gets a logarithmic function for slow iteration convergence. public static Func<double, double> LogSlowIterationFunc { get; } Property Value Func<double, double> Methods DeepSolveArray(Func<double[], double[]>, int, double[], double[], double, Func<double, double>, int, int, int) Performs deep solving of a function with multiple parameters. public static IEnumerable<DeepSolvingStatus> DeepSolveArray(Func<double[], double[]> func, int outputNum, double[] para, double[] dpara, double convergenceLimit, Func<double, double> slowIterationFunc = null, int maxDirectIteration = 6, int maxSlowIteration = 6, int maxTotalIteration = 1200) Parameters func Func<double[], double[]> The function to solve. outputNum int The number of output values. para double[] The initial parameter values. dpara double[] The parameter delta values. convergenceLimit double The convergence limit. slowIterationFunc Func<double, double> The function for slow iteration. maxDirectIteration int The maximum number of direct iterations. maxSlowIteration int The maximum number of slow iterations. maxTotalIteration int The maximum total number of iterations. Returns IEnumerable<DeepSolvingStatus> An enumerable of deep solving status objects. GetApproxInv(double[,], double) Calculates an approximate inverse of a matrix using SVD decomposition. public static double[,] GetApproxInv(double[,] mat, double availableAccumulatedWeightRatio = 0.99999999) Parameters mat double[,] The input matrix. availableAccumulatedWeightRatio double The ratio of accumulated weights to consider. Returns double[,] The approximate inverse matrix. GetApproxInvAndOrthogonalPaces(double[,], out List<(double eigenValue, double[] v)>) Calculates an approximate inverse of a matrix and returns orthogonal paces using SVD decomposition. public static double[,] GetApproxInvAndOrthogonalPaces(double[,] mat, out List<(double eigenValue, double[] v)> orthogonalPaces) Parameters mat double[,] The input matrix. orthogonalPaces List<(double eigenValue, double[] v)> The output list of orthogonal paces with eigenvalues and eigenvectors. Returns double[,] The approximate inverse matrix. GetBiases(Func<double[], double[]>, double[], double[]) Calculates the bias values between function outputs and target values. public static double[] GetBiases(Func<double[], double[]> func, double[] paras, double[] targets) Parameters func Func<double[], double[]> The function to evaluate. paras double[] The parameter values. targets double[] The target values. Returns double[] The bias values. GetCosSinTermRotationMat4d(Vec3d, double, double) public static Mat4d GetCosSinTermRotationMat4d(Vec3d axis, double cos, double sin) Parameters axis Vec3d cos double sin double Returns Mat4d GetCosSinTermRotationMat4d(Vec3d, double, double, Vec3d) public static Mat4d GetCosSinTermRotationMat4d(Vec3d axis, double cos, double sin, Vec3d pivot) Parameters axis Vec3d cos double sin double pivot Vec3d Returns Mat4d GetJacobMat(Func<double[], double[]>, double[], double[], int) Calculates the Jacobian matrix for a function. public static double[,] GetJacobMat(Func<double[], double[]> func, double[] paras, double[] dparas, int targetNum) Parameters func Func<double[], double[]> The function to evaluate. paras double[] The parameter values. dparas double[] The parameter delta values. targetNum int The number of target values. Returns double[,] The Jacobian matrix. GetParasCompensation(Func<double[], double[]>, double[], double[], double[], out double[,]) Gets parameter compensation values based on the function, current parameters, parameter deltas, and target values. public static double[] GetParasCompensation(Func<double[], double[]> func, double[] paras, double[] dparas, double[] targets, out double[,] jacob) Parameters func Func<double[], double[]> The function to evaluate. paras double[] The current parameter values. dparas double[] The parameter delta values. targets double[] The target values. jacob double[,] The output Jacobian matrix. Returns double[] The parameter compensation values. GetParasCompensation(Func<double[], double[]>, double[], double[], double[], double[], out double[,]) Gets parameter compensation values based on the function, current parameters, parameter deltas, target values, and biases. public static double[] GetParasCompensation(Func<double[], double[]> func, double[] paras, double[] dparas, double[] targets, double[] biases, out double[,] jacob) Parameters func Func<double[], double[]> The function to evaluate. paras double[] The current parameter values. dparas double[] The parameter delta values. targets double[] The target values. biases double[] The bias values. jacob double[,] The output Jacobian matrix. Returns double[] The parameter compensation values. Solve(Func<double, double>, double, double, double, double, int) Solves a one-dimensional function for a target value. public static IEnumerable<SolvingResult> Solve(Func<double, double> func, double para, double dpara, double target, double convergenceLimit, int maxIteration = 12) Parameters func Func<double, double> The function to solve para double Initial parameter value dpara double Parameter step size for calculating derivatives target double Target value to solve for convergenceLimit double Convergence limit (acceptable error) maxIteration int Maximum number of iterations Returns IEnumerable<SolvingResult> A sequence of solving result objects showing the progress of the solution SolveArray(Func<double[], double[]>, double[], double[], double[], Func<double[], double>, double, int) Solves a multi-dimensional function for specified target values with a custom convergence function. public static IEnumerable<SolvingResult> SolveArray(Func<double[], double[]> func, double[] paras, double[] dparas, double[] targets, Func<double[], double> convergenceFunc, double convergenceLimit, int maxIteration = 12) Parameters func Func<double[], double[]> The function to solve paras double[] Initial parameter values dparas double[] Parameter step sizes for calculating derivatives targets double[] Target values to solve for convergenceFunc Func<double[], double> Function to calculate convergence from biases convergenceLimit double Convergence limit (acceptable error) maxIteration int Maximum number of iterations Returns IEnumerable<SolvingResult> A sequence of solving result objects showing the progress of the solution SolveArray(Func<double[], double[]>, double[], double[], int, double, int) Solves a multi-dimensional function with default convergence function. public static IEnumerable<SolvingResult> SolveArray(Func<double[], double[]> func, double[] paras, double[] dparas, int funcDstNum, double convergenceLimit, int maxIteration = 12) Parameters func Func<double[], double[]> The function to solve paras double[] Initial parameter values dparas double[] Parameter step sizes for calculating derivatives funcDstNum int Number of output values from the function convergenceLimit double Convergence limit (acceptable error) maxIteration int Maximum number of iterations Returns IEnumerable<SolvingResult> A sequence of solving result objects showing the progress of the solution SolveArray(Func<double[], double[]>, double[], double[], int, Func<double[], double>, double, int) Solves a multi-dimensional function with a specified convergence function. public static IEnumerable<SolvingResult> SolveArray(Func<double[], double[]> func, double[] paras, double[] dparas, int funcDstNum, Func<double[], double> convergenceFunc, double convergenceLimit, int maxIteration = 12) Parameters func Func<double[], double[]> The function to solve paras double[] Initial parameter values dparas double[] Parameter step sizes for calculating derivatives funcDstNum int Number of output values from the function convergenceFunc Func<double[], double> Function to calculate convergence from biases convergenceLimit double Convergence limit (acceptable error) maxIteration int Maximum number of iterations Returns IEnumerable<SolvingResult> A sequence of solving result objects showing the progress of the solution Test() Internal Use Only public static void Test() Test2() Internal Use Only public static void Test2()"
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     "href": "api/Hi.Geom.Solvers.SolvingResult.html",
@@ -1712,7 +1712,7 @@
   "api/Hi.Geom.html": {
     "href": "api/Hi.Geom.html",
     "title": "Namespace Hi.Geom | HiAPI-C# 2025",
-    "summary": "Namespace Hi.Geom Classes ArrayUtil Utility class for array operations. AxisAngle4d Axis(3d) and angle(1d) Box2d Lightweight 2d box. An orthogonal box which the edges are all parallel with Cartesian Coordinate. The data contains in a Box2d is Min and Max. Box2d.NoInit Flag for calling Box2d(NoInit). Box3d Lightweight 3d box. An orthogonal box which the edges are all parallel with Cartesian Coordinate. The data contains in a Box3d is Min and Max. Box3d.NoInit Flag for calling Box3d(NoInit). Cylindroid 3d Geometry of Cylindroid. DVec3d Dual Vec3d with p(Vec3d) and n(Vec3d). ExtendedCylinder An extensible cylinder geometry that generates a corresponding Cylindroid by the start section and the total length. Flat3d Represents a 3D plane defined by a unit normal vector and its signed distance from the origin. The plane equation is: Ax + By + Cz + d = 0, where (A,B,C) is the normal vector and d is the distance to origin. GeomCombination A class that manages multiple STL sources as a single source. GeomUtil Utility of Geometry. Mat4d 4x4 Matrix. MathNetUtil Utility class for MathNet.Numerics operations. MathUtil Math Utility. NativeFraction Native wrapper for C++ fraction_t<0> (unlimited precision fraction). A fraction consists of a numerator and denominator using unlimited precision integers. NativeStl Native Stl. For purpose of efficient swept volume. NativeTopoStld Native TopoStl with element type double. NativeTopoStlfr Native TopoStl with element type fraction. PairZr Value pair of Z and R. PairZrUtil Utility class for working with PairZr objects Polar3d Represents a point in 3D space using polar coordinates Segment3d Represents a 3D line segment defined by two endpoints. Stl STL (stereolithography). Composed by Triangles. Provide Stl File R/W. StlFile Represents an STL file with loading and saving capabilities StlFuncHost A class that hosts a function to generate STL geometry. StlUtil Utility for Stl. TransformationGeom Represents a geometric transformation that can be applied to a geometry object. This class combines a transformer with a target geometry to produce transformed geometric results. Tri3d Basic 3D Triangle. Tri3dUtil Utility of Tri3d. Include generator of triangles from points. Vec2d Basic 2D point (or vector). Vec2i Basic 2D point (or vector). Vec3d Basic 3D point (or vector). Structs Fraction<TEva> Pure C# unlimited precision fraction. Interfaces IExpandToBox2d Object that can be expanded to a Box2d. IExpandToBox3d Object that can be expanded to a Box3d. IFlat3d Interface for a 3D plane that provides an anchor point and a normal vector. IGenStl Interface for generating STL geometry with a resolution. IGeomProperty Interface for objects that have a geometry property. IGetStl Interface for retrieving STL geometry data. IGetZrContour Interface for retrieving Z-R contour data for rotational geometries. IGetZrList Interface for getting a list of Z-R pairs. IStlSource Stl provider with xml support. ITri3d Interface for 3D triangles. IVec<T> Interface for vector types with generic element type. IZrListSourceProperty Provides a source for obtaining an IGetZrList. Enums Dir Enumeration of coordinate axis directions in 3D space. FractionStatus Status flags for Fraction and NativeFraction. Corresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t. Mat4d.IndexFlag Specifies the indexing method for matrix construction from vectors. Stl.StlType Stl file format."
+    "summary": "Namespace Hi.Geom Classes ArrayUtil Utility class for array operations. AxisAngle4d Axis(3d) and angle(1d) Box2d Lightweight 2d box. An orthogonal box which the edges are all parallel with Cartesian Coordinate. The data contains in a Box2d is Min and Max. Box2d.NoInit Flag for calling Box2d(NoInit). Box3d Lightweight 3d box. An orthogonal box which the edges are all parallel with Cartesian Coordinate. The data contains in a Box3d is Min and Max. Box3d.NoInit Flag for calling Box3d(NoInit). Cylindroid 3d Geometry of Cylindroid. DVec3d Dual Vec3d with p(Vec3d) and n(Vec3d). ExtendedCylinder An extensible cylinder geometry that generates a corresponding Cylindroid by the start section and the total length. Flat3d Represents a 3D plane defined by a unit normal vector and its signed distance from the origin. The plane equation is: Ax + By + Cz + d = 0, where (A,B,C) is the normal vector and d is the distance to origin. GeomCombination A class that manages multiple STL sources as a single source. GeomUtil Utility of Geometry. Mat4d 4x4 Matrix. MathNetUtil Utility class for MathNet.Numerics operations. MathUtil Math Utility. NativeFraction Native wrapper for C++ fraction_t<0> (unlimited precision fraction). A fraction consists of a numerator and denominator using unlimited precision integers. NativeStl Native Stl. For purpose of efficient swept volume. NativeTopoStld Native TopoStl with element type double. NativeTopoStlfr Native TopoStl with element type fraction. PairZr Value pair of Z and R. PairZrUtil Utility class for working with PairZr objects Polar3d Represents a point in 3D space using polar coordinates Segment3d Represents a 3D line segment defined by two endpoints. Stl STL (stereolithography). Composed by Triangles. Provide Stl File R/W. StlFile Represents an STL file with loading and saving capabilities StlFuncHost A class that hosts a function to generate STL geometry. StlUtil Utility for Stl. TransformationGeom Represents a geometric transformation that can be applied to a geometry object. This class combines a transformer with a target geometry to produce transformed geometric results. Tri3d Basic 3D Triangle. Tri3dUtil Utility of Tri3d. Include generator of triangles from points. Vec2d Basic 2D point (or vector). Vec2i Basic 2D point (or vector). Vec3d Basic 3D point (or vector). Structs Fraction<TEva> Pure C# unlimited precision fraction. Interfaces IExpandToBox2d Object that can be expanded to a Box2d. IExpandToBox3d Object that can be expanded to a Box3d. IFlat3d Interface for a 3D plane that provides an anchor point and a normal vector. IGenStl Interface for generating STL geometry with a resolution. IGeomProperty Interface for objects that have a geometry property. IGetStl Interface for retrieving STL geometry data. IGetZrContour Interface for retrieving Z-R contour data for rotational geometries. IGetZrList Interface for getting a list of Z-R pairs. IStlSource Stl provider with xml support. ITri3d Interface for 3D triangles. IVec<T> Interface for vector types with generic element type. IZrListSourceProperty Provides a source for obtaining an IGetZrList. Enums Dir Enumeration of coordinate axis directions in 3D space. FractionStatus Status flags for Fraction`1 and NativeFraction. Corresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t. Mat4d.IndexFlag Specifies the indexing method for matrix construction from vectors. Stl.StlType Stl file format."
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     "href": "api/Hi.Grpcs.ClStripService.ClStripServiceBase.html",
@@ -2307,7 +2307,7 @@
   "api/Hi.Mech.Topo.DynamicRotation.html": {
     "href": "api/Hi.Mech.Topo.DynamicRotation.html",
     "title": "Class DynamicRotation | HiAPI-C# 2025",
-    "summary": "Class DynamicRotation Namespace Hi.Mech.Topo Assembly HiMech.dll Dynamic rotate transformer. public class DynamicRotation : IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IGetInverseTransformer, IToPresentDto Inheritance object DynamicRotation Implements IDynamicRegular IDynamicTransformer ITransformer IMakeXmlSource IGetInverseTransformer IToPresentDto Derived NcRotation Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors DynamicRotation() Ctor. public DynamicRotation() DynamicRotation(Vec3d, double, Vec3d) Ctor. public DynamicRotation(Vec3d axis, double angle_rad = 0, Vec3d pivot = null) Parameters axis Vec3d Axis angle_rad double Angle_rad pivot Vec3d Pivot DynamicRotation(XElement) Ctor. public DynamicRotation(XElement src) Parameters src XElement XML Properties Angle_deg Rotation angle in degree. public double Angle_deg { get; set; } Property Value double Angle_rad Rotation angle in radian. public double Angle_rad { get; set; } Property Value double Axis Rotation axis. public Vec3d Axis { get; set; } Property Value Vec3d Pivot pivot public Vec3d Pivot { get; set; } Property Value Vec3d Step Gets or sets the step. public double Step { get; set; } Property Value double The step. XName Static name. public static string XName { get; } Property Value string Methods Clone() Clones this instance. public virtual ITransformer Clone() Returns ITransformer clone GetInverseTransformer() Gets the inverse transformer of this transformer. public ITransformer GetInverseTransformer() Returns ITransformer The inverse transformer. GetMat() Gets the transform matrix. public Mat4d GetMat() Returns Mat4d The transform matrix. GetMatInv() Gets the inverse transform matrix. public Mat4d GetMatInv() Returns Mat4d The inverse transform matrix. MakeXmlSource(string, string, bool) Creates an XML representation of the object. This method may also generate additional resources such as related files. public virtual XElement MakeXmlSource(string baseDirectory, string relFile, bool exhibitionOnly) Parameters baseDirectory string The base directory for resolving relative paths relFile string The relative file path for the XML source exhibitionOnly bool if true, the extended file creation is suppressed. Returns XElement An XML element representing the object's state Remarks For the demand of easy moving source folder (especially project folder) without configuration file path corruption, the relative file path is applied. The baseDirectory is typically the folder at the nearest configuration file folder. Since the folder can be moving with the configuration file. Set(DynamicRotation) Copy from src. public void Set(DynamicRotation src) Parameters src DynamicRotation src ToPresentDto() Convert DynamicRotation to presentation DTO (Data Transfer Object) for JSON serialization. The returned object includes type metadata for web API presentation. public object ToPresentDto() Returns object DTO object with type, axis, angleDeg, and pivot properties"
+    "summary": "Class DynamicRotation Namespace Hi.Mech.Topo Assembly HiMech.dll Dynamic rotate transformer. public class DynamicRotation : IDynamicRotation, IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IGetInverseTransformer, IToPresentDto Inheritance object DynamicRotation Implements IDynamicRotation IDynamicRegular IDynamicTransformer ITransformer IMakeXmlSource IGetInverseTransformer IToPresentDto Derived NcRotation Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors DynamicRotation() Ctor. public DynamicRotation() DynamicRotation(Vec3d, double, Vec3d) Ctor. public DynamicRotation(Vec3d axis, double angle_rad = 0, Vec3d pivot = null) Parameters axis Vec3d Axis angle_rad double Angle_rad pivot Vec3d Pivot DynamicRotation(XElement) Ctor. public DynamicRotation(XElement src) Parameters src XElement XML Properties Angle_deg Rotation angle in degree. public double Angle_deg { get; set; } Property Value double Angle_rad Rotation angle in radian. public double Angle_rad { get; set; } Property Value double Axis Rotation axis. public Vec3d Axis { get; set; } Property Value Vec3d Pivot pivot public Vec3d Pivot { get; set; } Property Value Vec3d Step Gets or sets the step. public double Step { get; set; } Property Value double The step. XName Static name. public static string XName { get; } Property Value string Methods Clone() Clones this instance. public virtual ITransformer Clone() Returns ITransformer clone GetInverseTransformer() Gets the inverse transformer of this transformer. public ITransformer GetInverseTransformer() Returns ITransformer The inverse transformer. GetMat() Gets the transform matrix. public Mat4d GetMat() Returns Mat4d The transform matrix. GetMatInv() Gets the inverse transform matrix. public Mat4d GetMatInv() Returns Mat4d The inverse transform matrix. MakeXmlSource(string, string, bool) Creates an XML representation of the object. This method may also generate additional resources such as related files. public virtual XElement MakeXmlSource(string baseDirectory, string relFile, bool exhibitionOnly) Parameters baseDirectory string The base directory for resolving relative paths relFile string The relative file path for the XML source exhibitionOnly bool if true, the extended file creation is suppressed. Returns XElement An XML element representing the object's state Remarks For the demand of easy moving source folder (especially project folder) without configuration file path corruption, the relative file path is applied. The baseDirectory is typically the folder at the nearest configuration file folder. Since the folder can be moving with the configuration file. Set(DynamicRotation) Copy from src. public void Set(DynamicRotation src) Parameters src DynamicRotation src ToPresentDto() Convert DynamicRotation to presentation DTO (Data Transfer Object) for JSON serialization. The returned object includes type metadata for web API presentation. public object ToPresentDto() Returns object DTO object with type, axis, angleDeg, and pivot properties"
   },
   "api/Hi.Mech.Topo.DynamicTranslation.html": {
     "href": "api/Hi.Mech.Topo.DynamicTranslation.html",
@@ -2329,6 +2329,11 @@
     "title": "Interface IDynamicRegular | HiAPI-C# 2025",
     "summary": "Interface IDynamicRegular Namespace Hi.Mech.Topo Assembly HiMech.dll Dynamic Regular Transformer public interface IDynamicRegular : IDynamicTransformer, ITransformer, IMakeXmlSource, IToPresentDto Inherited Members ITransformer.GetMat() ITransformer.GetMatInv() ITransformer.Clone() IMakeXmlSource.MakeXmlSource(string, string, bool) IToPresentDto.ToPresentDto() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Properties Step Gets or sets the step. double Step { get; set; } Property Value double The step."
   },
+  "api/Hi.Mech.Topo.IDynamicRotation.html": {
+    "href": "api/Hi.Mech.Topo.IDynamicRotation.html",
+    "title": "Interface IDynamicRotation | HiAPI-C# 2025",
+    "summary": "Interface IDynamicRotation Namespace Hi.Mech.Topo Assembly HiMech.dll public interface IDynamicRotation : IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IGetInverseTransformer, IToPresentDto Inherited Members IDynamicRegular.Step ITransformer.GetMat() ITransformer.GetMatInv() ITransformer.Clone() IMakeXmlSource.MakeXmlSource(string, string, bool) IGetInverseTransformer.GetInverseTransformer() IToPresentDto.ToPresentDto() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Properties Angle_deg Rotation angle in degree. double Angle_deg { get; set; } Property Value double Angle_rad Rotation angle in radian. double Angle_rad { get; set; } Property Value double Axis Rotation axis. Vec3d Axis { get; set; } Property Value Vec3d Pivot pivot Vec3d Pivot { get; set; } Property Value Vec3d"
+  },
   "api/Hi.Mech.Topo.IDynamicTransformer.html": {
     "href": "api/Hi.Mech.Topo.IDynamicTransformer.html",
     "title": "Interface IDynamicTransformer | HiAPI-C# 2025",
@@ -2442,7 +2447,7 @@
   "api/Hi.Mech.Topo.html": {
     "href": "api/Hi.Mech.Topo.html",
     "title": "Namespace Hi.Mech.Topo | HiAPI-C# 2025",
-    "summary": "Namespace Hi.Mech.Topo Classes Anchor A coordinate system using in kinematic chain. AnchorFuncSource Provides an anchor through a function delegate. AnchoredBoxable Represents an object that is both anchored to a root point and can expand to a 3D box. AnchoredDisplayee Represents a displayable object that is anchored to a specific point in a topology. Asmb Collection of Anchor and Asmb. AsmbDraw Render all Anchors of the Asmb in form of CoordinateDrawing. Branch The linkage between two Anchor objects. DirectionBranchEntry A data pack contains Branch and a boolean isForward. DirectionBranchPackUtil Utility of topology. DynamicFreeform Dynamic Freeform transformer. DynamicRotation Dynamic rotate transformer. DynamicTranslation Dynamic translate transformer GeneralTransform Represents a general transformation that combines scaling, rotation, and translation. NoTransform Static Identity Transformer. StackTransformer Represents a transformer that maintains a stack of transformations. StaticFreeform Static Freeform transformer. StaticRotation Static Rotation. StaticTranslation Static Translate. TopoDisplayee Implements a displayable topological element that manages a collection of anchored displayees within an assembly. TopoDisplayeeUtil Provides utility methods for displaying and manipulating topological displayees. TopoReflection Clone Asmb and provide map between source topology and cloned topology. TopoUtil Utility of handling Anchor. TransformerUtil Utility for ITransformer. Interfaces IAnchoredDisplayee Interface for objects that can be displayed and are anchored to a root point in a topology. IDynamicRegular Dynamic Regular Transformer IDynamicTransformer Dynamic Transformer. IGetAnchor Interface to get the key Anchor. IGetAnchoredDisplayeeList Interface for getting a list of anchored displayable objects. IGetAsmb Interface of Getting a key Asmb. IGetFletchBuckle Interface of GetFletchBuckle(). IGetInverseTransformer Interface for objects that can provide their inverse transformer. IGetTopoIndex interface of IGetAnchor or IGetAsmb. IStaticTransformer Static Transformer ITopo Defines an interface for displaying topological elements that combines assembly, anchoring, and display capabilities. ITopoDisplayee Represents a topology object that can be displayed and has an anchor. ITransformer Interface of single transform matrix manipulation. ITransformerProperty Interface for objects that have a transformer property."
+    "summary": "Namespace Hi.Mech.Topo Classes Anchor A coordinate system using in kinematic chain. AnchorFuncSource Provides an anchor through a function delegate. AnchoredBoxable Represents an object that is both anchored to a root point and can expand to a 3D box. AnchoredDisplayee Represents a displayable object that is anchored to a specific point in a topology. Asmb Collection of Anchor and Asmb. AsmbDraw Render all Anchors of the Asmb in form of CoordinateDrawing. Branch The linkage between two Anchor objects. DirectionBranchEntry A data pack contains Branch and a boolean isForward. DirectionBranchPackUtil Utility of topology. DynamicFreeform Dynamic Freeform transformer. DynamicRotation Dynamic rotate transformer. DynamicTranslation Dynamic translate transformer GeneralTransform Represents a general transformation that combines scaling, rotation, and translation. NoTransform Static Identity Transformer. StackTransformer Represents a transformer that maintains a stack of transformations. StaticFreeform Static Freeform transformer. StaticRotation Static Rotation. StaticTranslation Static Translate. TopoDisplayee Implements a displayable topological element that manages a collection of anchored displayees within an assembly. TopoDisplayeeUtil Provides utility methods for displaying and manipulating topological displayees. TopoReflection Clone Asmb and provide map between source topology and cloned topology. TopoUtil Utility of handling Anchor. TransformerUtil Utility for ITransformer. Interfaces IAnchoredDisplayee Interface for objects that can be displayed and are anchored to a root point in a topology. IDynamicRegular Dynamic Regular Transformer IDynamicRotation IDynamicTransformer Dynamic Transformer. IGetAnchor Interface to get the key Anchor. IGetAnchoredDisplayeeList Interface for getting a list of anchored displayable objects. IGetAsmb Interface of Getting a key Asmb. IGetFletchBuckle Interface of GetFletchBuckle(). IGetInverseTransformer Interface for objects that can provide their inverse transformer. IGetTopoIndex interface of IGetAnchor or IGetAsmb. IStaticTransformer Static Transformer ITopo Defines an interface for displaying topological elements that combines assembly, anchoring, and display capabilities. ITopoDisplayee Represents a topology object that can be displayed and has an anchor. ITransformer Interface of single transform matrix manipulation. ITransformerProperty Interface for objects that have a transformer property."
   },
   "api/Hi.Mech.html": {
     "href": "api/Hi.Mech.html",
@@ -3322,7 +3327,7 @@
   "api/Hi.NcMech.Topo.NcRotation.html": {
     "href": "api/Hi.NcMech.Topo.NcRotation.html",
     "title": "Class NcRotation | HiAPI-C# 2025",
-    "summary": "Class NcRotation Namespace Hi.NcMech.Topo Assembly HiMech.dll Represents a rotational transformer for NC machine tool axes. Provides functionality for rotational motion with stroke and speed limits. public class NcRotation : DynamicRotation, IGetInverseTransformer, INcTransformer, IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IToPresentDto, INcStroke Inheritance object DynamicRotation NcRotation Implements IGetInverseTransformer INcTransformer IDynamicRegular IDynamicTransformer ITransformer IMakeXmlSource IToPresentDto INcStroke Inherited Members DynamicRotation.Set(DynamicRotation) DynamicRotation.Step DynamicRotation.GetMat() DynamicRotation.GetMatInv() DynamicRotation.GetInverseTransformer() DynamicRotation.Axis DynamicRotation.Angle_rad DynamicRotation.Angle_deg DynamicRotation.Pivot DynamicRotation.ToPresentDto() object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors NcRotation() Initializes a new instance of the NcRotation class. public NcRotation() NcRotation(Vec3d, double) Initializes a new instance of the NcRotation class with the specified axis and angle. public NcRotation(Vec3d axis, double angle_rad = 0) Parameters axis Vec3d The rotation axis vector. angle_rad double The rotation angle in radians. NcRotation(Vec3d, double, Vec3d) Initializes a new instance of the NcRotation class with the specified axis, angle and pivot point. public NcRotation(Vec3d axis, double angle_rad, Vec3d pivot) Parameters axis Vec3d The rotation axis vector. angle_rad double The rotation angle in radians. pivot Vec3d The pivot point for rotation. NcRotation(XElement) Initializes a new instance of the NcRotation class from XML. public NcRotation(XElement src) Parameters src XElement The XML source element. Properties KeyCode Gets or sets the key code of the motion axis. public string KeyCode { get; set; } Property Value string SpeedLimit_radds Gets or sets the speed limit in radians per second. public double SpeedLimit_radds { get; set; } Property Value double SpeedLimit_rpm Gets or sets the speed limit in revolutions per minute. public double SpeedLimit_rpm { get; set; } Property Value double StrokeMax_deg Gets or sets the maximum stroke angle in degrees. public double StrokeMax_deg { get; set; } Property Value double StrokeMax_rad Gets or sets the maximum stroke angle in radians. public double StrokeMax_rad { get; set; } Property Value double StrokeMin_deg Gets or sets the minimum stroke angle in degrees. public double StrokeMin_deg { get; set; } Property Value double StrokeMin_rad Gets or sets the minimum stroke angle in radians. public double StrokeMin_rad { get; set; } Property Value double XName Gets the XML element name for serialization. public static string XName { get; } Property Value string Methods Clone() Clones this instance. public override ITransformer Clone() Returns ITransformer clone GetKeyCode() Get key code of the motion axis. public string GetKeyCode() Returns string GetSpeedLimit() Get speed limit. public double GetSpeedLimit() Returns double Remarks Gets the speed limit in radians per second. GetStrokeMax() Get positivest stroke. public double GetStrokeMax() Returns double Remarks Gets the maximum stroke angle in radians. GetStrokeMin() Get negativest stroke. public double GetStrokeMin() Returns double Remarks Gets the minimum stroke angle in radians. MakeXmlSource(string, string, bool) Creates an XML representation of the object. This method may also generate additional resources such as related files. public override XElement MakeXmlSource(string baseDirectory, string relFile, bool exhibitionOnly) Parameters baseDirectory string The base directory for resolving relative paths relFile string The relative file path for the XML source exhibitionOnly bool if true, the extended file creation is suppressed. Returns XElement An XML element representing the object's state Remarks For the demand of easy moving source folder (especially project folder) without configuration file path corruption, the relative file path is applied. The baseDirectory is typically the folder at the nearest configuration file folder. Since the folder can be moving with the configuration file."
+    "summary": "Class NcRotation Namespace Hi.NcMech.Topo Assembly HiMech.dll Represents a rotational transformer for NC machine tool axes. Provides functionality for rotational motion with stroke and speed limits. public class NcRotation : DynamicRotation, IDynamicRotation, IGetInverseTransformer, INcTransformer, IDynamicRegular, IDynamicTransformer, ITransformer, IMakeXmlSource, IToPresentDto, INcStroke Inheritance object DynamicRotation NcRotation Implements IDynamicRotation IGetInverseTransformer INcTransformer IDynamicRegular IDynamicTransformer ITransformer IMakeXmlSource IToPresentDto INcStroke Inherited Members DynamicRotation.Set(DynamicRotation) DynamicRotation.Step DynamicRotation.GetMat() DynamicRotation.GetMatInv() DynamicRotation.GetInverseTransformer() DynamicRotation.Axis DynamicRotation.Angle_rad DynamicRotation.Angle_deg DynamicRotation.Pivot DynamicRotation.ToPresentDto() object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors NcRotation() Initializes a new instance of the NcRotation class. public NcRotation() NcRotation(Vec3d, double) Initializes a new instance of the NcRotation class with the specified axis and angle. public NcRotation(Vec3d axis, double angle_rad = 0) Parameters axis Vec3d The rotation axis vector. angle_rad double The rotation angle in radians. NcRotation(Vec3d, double, Vec3d) Initializes a new instance of the NcRotation class with the specified axis, angle and pivot point. public NcRotation(Vec3d axis, double angle_rad, Vec3d pivot) Parameters axis Vec3d The rotation axis vector. angle_rad double The rotation angle in radians. pivot Vec3d The pivot point for rotation. NcRotation(XElement) Initializes a new instance of the NcRotation class from XML. public NcRotation(XElement src) Parameters src XElement The XML source element. Properties KeyCode Gets or sets the key code of the motion axis. public string KeyCode { get; set; } Property Value string SpeedLimit_radds Gets or sets the speed limit in radians per second. public double SpeedLimit_radds { get; set; } Property Value double SpeedLimit_rpm Gets or sets the speed limit in revolutions per minute. public double SpeedLimit_rpm { get; set; } Property Value double StrokeMax_deg Gets or sets the maximum stroke angle in degrees. public double StrokeMax_deg { get; set; } Property Value double StrokeMax_rad Gets or sets the maximum stroke angle in radians. public double StrokeMax_rad { get; set; } Property Value double StrokeMin_deg Gets or sets the minimum stroke angle in degrees. public double StrokeMin_deg { get; set; } Property Value double StrokeMin_rad Gets or sets the minimum stroke angle in radians. public double StrokeMin_rad { get; set; } Property Value double XName Gets the XML element name for serialization. public static string XName { get; } Property Value string Methods Clone() Clones this instance. public override ITransformer Clone() Returns ITransformer clone GetKeyCode() Get key code of the motion axis. public string GetKeyCode() Returns string GetSpeedLimit() Get speed limit. public double GetSpeedLimit() Returns double Remarks Gets the speed limit in radians per second. GetStrokeMax() Get positivest stroke. public double GetStrokeMax() Returns double Remarks Gets the maximum stroke angle in radians. GetStrokeMin() Get negativest stroke. public double GetStrokeMin() Returns double Remarks Gets the minimum stroke angle in radians. MakeXmlSource(string, string, bool) Creates an XML representation of the object. This method may also generate additional resources such as related files. public override XElement MakeXmlSource(string baseDirectory, string relFile, bool exhibitionOnly) Parameters baseDirectory string The base directory for resolving relative paths relFile string The relative file path for the XML source exhibitionOnly bool if true, the extended file creation is suppressed. Returns XElement An XML element representing the object's state Remarks For the demand of easy moving source folder (especially project folder) without configuration file path corruption, the relative file path is applied. The baseDirectory is typically the folder at the nearest configuration file folder. Since the folder can be moving with the configuration file."
   },
   "api/Hi.NcMech.Topo.NcTranslation.html": {
     "href": "api/Hi.NcMech.Topo.NcTranslation.html",
@@ -3387,7 +3392,7 @@
   "api/Hi.NcMech.Xyzabc.IXyzabcMachineTool.html": {
     "href": "api/Hi.NcMech.Xyzabc.IXyzabcMachineTool.html",
     "title": "Interface IXyzabcMachineTool | HiAPI-C# 2025",
-    "summary": "Interface IXyzabcMachineTool Namespace Hi.NcMech.Xyzabc Assembly HiMech.dll Interface for XYZABC machine tools that combines chain, display, collision and other functionalities. public interface IXyzabcMachineTool : IDisplayee, IGetCollisionIndexPairs, IXyzabcChain, IGetXyzabcChain, IMachiningChain, IGetAsmb, IGetAnchor, IGetTopoIndex, IMakeXmlSource, IGetAnchorToSolidDictionary, IGetAnchoredDisplayeeList, IExpandToBox3d, INameNote Inherited Members IDisplayee.Display(Bind) IGetCollisionIndexPairs.GetCollisionIndexPairs() IXyzabcChain.GetTransformerX() IXyzabcChain.GetTransformerY() IXyzabcChain.GetTransformerZ() IXyzabcChain.GetTransformerA() IXyzabcChain.GetTransformerB() IXyzabcChain.GetTransformerC() IGetXyzabcChain.GetXyzabcChain() IMachiningChain.GetTableBuckle() IMachiningChain.GetToolBuckle() IMachiningChain.McCodes IMachiningChain.McTransformers IGetAsmb.GetAsmb() IGetAnchor.GetAnchor() IMakeXmlSource.MakeXmlSource(string, string, bool) IGetAnchorToSolidDictionary.GetAnchorToSolidDictionary() IGetAnchorToSolidDictionary.PrepareAnchorSolids() IGetAnchoredDisplayeeList.GetAnchoredDisplayeeList() IExpandToBox3d.ExpandToBox3d(Box3d) INameNote.Name INameNote.Note Extension Methods DispUtil.Display(IDisplayee, Bind, Mat4d) MachiningChainUtil.GetMcCodeTransformerDictionary(IMachiningChain) TopoUtil.Display(IGetAnchor, Bind, Dictionary<Anchor, Mat4d>) TopoUtil.ExpandToBox3d(IGetAnchor, Box3d, Dictionary<Anchor, Mat4d>) DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) XyzabcUtil.GenerateCollisionIndexPairs(IXyzabcChain) XyzabcUtil.GetMc(IXyzabcChain, out DVec3d) XyzabcUtil.GetMc(IXyzabcChain, out double, out double, out double, out double, out double, out double) XyzabcUtil.GetMcAbc_rad(IXyzabcChain, out Abc) XyzabcUtil.GetMcXyzabc(IXyzabcChain) XyzabcUtil.GetNp(IXyzabcChain) XyzabcUtil.GetTransformationMat4d(IXyzabcChain) XyzabcUtil.SetMc(IXyzabcChain, DVec3d) XyzabcUtil.SetMc(IXyzabcChain, Vec3d) XyzabcUtil.SetMc(IXyzabcChain, double, double, double) XyzabcUtil.SetMc(IXyzabcChain, double, double, double, double, double, double) XyzabcUtil.SetMcAbc_rad(IXyzabcChain, Vec3d) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object)"
+    "summary": "Interface IXyzabcMachineTool Namespace Hi.NcMech.Xyzabc Assembly HiMech.dll Interface for XYZABC machine tools that combines chain, display, collision and other functionalities. public interface IXyzabcMachineTool : IDisplayee, IGetCollisionIndexPairs, IXyzabcChain, IGetXyzabcChain, IMachiningChain, IGetAsmb, IGetAnchor, IGetTopoIndex, IMakeXmlSource, IGetAnchorToSolidDictionary, IGetAnchoredDisplayeeList, IExpandToBox3d, INameNote Inherited Members IDisplayee.Display(Bind) IGetCollisionIndexPairs.GetCollisionIndexPairs() IXyzabcChain.GetTransformerX() IXyzabcChain.GetTransformerY() IXyzabcChain.GetTransformerZ() IXyzabcChain.GetTransformerA() IXyzabcChain.GetTransformerB() IXyzabcChain.GetTransformerC() IXyzabcChain.GetTransformerXyz() IXyzabcChain.GetTransformerAbc() IGetXyzabcChain.GetXyzabcChain() IMachiningChain.GetTableBuckle() IMachiningChain.GetToolBuckle() IMachiningChain.McCodes IMachiningChain.McTransformers IGetAsmb.GetAsmb() IGetAnchor.GetAnchor() IMakeXmlSource.MakeXmlSource(string, string, bool) IGetAnchorToSolidDictionary.GetAnchorToSolidDictionary() IGetAnchorToSolidDictionary.PrepareAnchorSolids() IGetAnchoredDisplayeeList.GetAnchoredDisplayeeList() IExpandToBox3d.ExpandToBox3d(Box3d) INameNote.Name INameNote.Note Extension Methods DispUtil.Display(IDisplayee, Bind, Mat4d) MachiningChainUtil.GetMcCodeTransformerDictionary(IMachiningChain) TopoUtil.Display(IGetAnchor, Bind, Dictionary<Anchor, Mat4d>) TopoUtil.ExpandToBox3d(IGetAnchor, Box3d, Dictionary<Anchor, Mat4d>) DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) XyzabcUtil.GenerateCollisionIndexPairs(IXyzabcChain) XyzabcUtil.GetMc(IXyzabcChain, out DVec3d) XyzabcUtil.GetMc(IXyzabcChain, out double, out double, out double, out double, out double, out double) XyzabcUtil.GetMcAbc_rad(IXyzabcChain, out Abc) XyzabcUtil.GetMcXyzabc(IXyzabcChain) XyzabcUtil.GetNp(IXyzabcChain) XyzabcUtil.GetTransformationMat4d(IXyzabcChain) XyzabcUtil.SetMc(IXyzabcChain, DVec3d) XyzabcUtil.SetMc(IXyzabcChain, Vec3d) XyzabcUtil.SetMc(IXyzabcChain, double, double, double) XyzabcUtil.SetMc(IXyzabcChain, double, double, double, double, double, double) XyzabcUtil.SetMcAbc_rad(IXyzabcChain, Vec3d) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object)"
   },
   "api/Hi.NcMech.Xyzabc.html": {
     "href": "api/Hi.NcMech.Xyzabc.html",
@@ -3562,12 +3567,12 @@
   "api/Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.html": {
     "href": "api/Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.html",
     "title": "Class ActLinearClAndLinearMcAbcMcXyzabcContour | HiAPI-C# 2025",
-    "summary": "Class ActLinearClAndLinearMcAbcMcXyzabcContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Represents a combined linear movement in both cutter location and machine coordinates. This class handles synchronized linear interpolation of tool position and orientation. public class ActLinearClAndLinearMcAbcMcXyzabcContour : IActDuration, IActMcXyzabcContour, IAct Inheritance object ActLinearClAndLinearMcAbcMcXyzabcContour Implements IActDuration IActMcXyzabcContour IAct Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Remarks This class is used for: Complex 5-axis machining movements Synchronized tool path and orientation control Linear interpolation in multiple coordinate systems Precise tool position and orientation control The movement combines: Linear cutter location interpolation Linear machine coordinate ABC interpolation Synchronized motion control Constructors ActLinearClAndLinearMcAbcMcXyzabcContour(SeqPair<DVec3d>, SeqPair<Vec3d>, TimeSpan, ICoordinateConverter) Initializes a new instance of the ActLinearClAndLinearMcAbcMcXyzabcContour class. public ActLinearClAndLinearMcAbcMcXyzabcContour(SeqPair<DVec3d> mcSeq, SeqPair<Vec3d> clPointSeq, TimeSpan duration, ICoordinateConverter coordinateConverter) Parameters mcSeq SeqPair<DVec3d> Machine coordinate sequence pair clPointSeq SeqPair<Vec3d> Cutter location point sequence pair duration TimeSpan Duration of the contour movement coordinateConverter ICoordinateConverter Coordinate converter for transformation Properties ActDuration Gets or sets the duration of the action. public TimeSpan ActDuration { get; set; } Property Value TimeSpan Remarks The duration represents: The time required to complete the action Should be positive and finite Zero duration indicates an instantaneous action Used for scheduling and timing calculations ClPointSeq Gets or sets the cutter location point sequence pair. public SeqPair<Vec3d> ClPointSeq { get; set; } Property Value SeqPair<Vec3d> Remarks Contains the start and end points of the cutter location path for linear interpolation in Cartesian coordinates. CoordinateConverter Coordinate Converter. public ICoordinateConverter CoordinateConverter { get; set; } Property Value ICoordinateConverter McSeq Gets or sets the machine coordinate sequence pair. The Normal property represents ABC angles in radians. public SeqPair<DVec3d> McSeq { get; set; } Property Value SeqPair<DVec3d> Remarks Contains: Start and end positions in machine coordinates Tool orientation angles (ABC) in radians Used for orientation interpolation Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double) Gets the machine XYZABC steps for this contour. public IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps. ToString() Returns a string that represents the current object. public override string ToString() Returns string A string that represents the current object."
+    "summary": "Class ActLinearClAndLinearMcAbcMcXyzabcContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Represents a combined linear movement in both cutter location and machine coordinates. This class handles synchronized linear interpolation of tool position and orientation. public class ActLinearClAndLinearMcAbcMcXyzabcContour : IActDuration, IActMcXyzabcContour, IAct Inheritance object ActLinearClAndLinearMcAbcMcXyzabcContour Implements IActDuration IActMcXyzabcContour IAct Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Remarks This class is used for: Complex 5-axis machining movements Synchronized tool path and orientation control Linear interpolation in multiple coordinate systems Precise tool position and orientation control The movement combines: Linear cutter location interpolation Linear machine coordinate ABC interpolation Synchronized motion control Constructors ActLinearClAndLinearMcAbcMcXyzabcContour(SeqPair<DVec3d>, SeqPair<Vec3d>, TimeSpan, ICoordinateConverter) Initializes a new instance of the ActLinearClAndLinearMcAbcMcXyzabcContour class. public ActLinearClAndLinearMcAbcMcXyzabcContour(SeqPair<DVec3d> mcSeq, SeqPair<Vec3d> clPointSeq, TimeSpan duration, ICoordinateConverter coordinateConverter) Parameters mcSeq SeqPair<DVec3d> Machine coordinate sequence pair clPointSeq SeqPair<Vec3d> Cutter location point sequence pair duration TimeSpan Duration of the contour movement coordinateConverter ICoordinateConverter Coordinate converter for transformation Properties ActDuration Gets or sets the duration of the action. public TimeSpan ActDuration { get; set; } Property Value TimeSpan Remarks The duration represents: The time required to complete the action Should be positive and finite Zero duration indicates an instantaneous action Used for scheduling and timing calculations ClPointSeq Gets or sets the cutter location point sequence pair. public SeqPair<Vec3d> ClPointSeq { get; set; } Property Value SeqPair<Vec3d> Remarks Contains the start and end points of the cutter location path for linear interpolation in Cartesian coordinates. CoordinateConverter Coordinate Converter. public ICoordinateConverter CoordinateConverter { get; set; } Property Value ICoordinateConverter McSeq Gets or sets the machine coordinate sequence pair. The Normal property represents ABC angles in radians. public SeqPair<DVec3d> McSeq { get; set; } Property Value SeqPair<DVec3d> Remarks Contains: Start and end positions in machine coordinates Tool orientation angles (ABC) in radians Used for orientation interpolation Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>) Gets the machine XYZABC steps for this contour. public IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action<object> coordinateConversionFailedAction) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. coordinateConversionFailedAction Action<object> Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP). Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps. ToString() Returns a string that represents the current object. public override string ToString() Returns string A string that represents the current object."
   },
   "api/Hi.Numerical.Acts.ActMcPolarLinearContour.html": {
     "href": "api/Hi.Numerical.Acts.ActMcPolarLinearContour.html",
     "title": "Class ActMcPolarLinearContour | HiAPI-C# 2025",
-    "summary": "Class ActMcPolarLinearContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Polar MCZ linear contour. public class ActMcPolarLinearContour : IActDuration, IActMcXyzabcContour, IAct Inheritance object ActMcPolarLinearContour Implements IActDuration IActMcXyzabcContour IAct Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors ActMcPolarLinearContour(DVec3d, SeqPair<Vec3d>, TimeSpan, double) Initializes a new instance of the ActMcPolarLinearContour class. public ActMcPolarLinearContour(DVec3d preMcXyzabc_rad, SeqPair<Vec3d> programPolarXczSeq, TimeSpan duration, double zCoordinateOffset) Parameters preMcXyzabc_rad DVec3d Previous machine XYZ-ABC coordinates in radians programPolarXczSeq SeqPair<Vec3d> Program polar XCZ sequence pair duration TimeSpan Duration of the contour movement zCoordinateOffset double Z-coordinate offset Properties ActDuration Gets or sets the duration of the action. public TimeSpan ActDuration { get; set; } Property Value TimeSpan Remarks The duration represents: The time required to complete the action Should be positive and finite Zero duration indicates an instantaneous action Used for scheduling and timing calculations ProgramPolarXczSeq Gets or sets the program polar XCZ sequence pair. public SeqPair<Vec3d> ProgramPolarXczSeq { get; set; } Property Value SeqPair<Vec3d> Remarks Contains the start and end points in polar XCZ coordinates for interpolation in polar coordinate system. Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double) Gets the machine XYZABC steps for this contour. public IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps."
+    "summary": "Class ActMcPolarLinearContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Polar MCZ linear contour. public class ActMcPolarLinearContour : IActDuration, IActMcXyzabcContour, IAct Inheritance object ActMcPolarLinearContour Implements IActDuration IActMcXyzabcContour IAct Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors ActMcPolarLinearContour(DVec3d, SeqPair<Vec3d>, TimeSpan, double) Initializes a new instance of the ActMcPolarLinearContour class. public ActMcPolarLinearContour(DVec3d preMcXyzabc_rad, SeqPair<Vec3d> programPolarXczSeq, TimeSpan duration, double zCoordinateOffset) Parameters preMcXyzabc_rad DVec3d Previous machine XYZ-ABC coordinates in radians programPolarXczSeq SeqPair<Vec3d> Program polar XCZ sequence pair duration TimeSpan Duration of the contour movement zCoordinateOffset double Z-coordinate offset Properties ActDuration Gets or sets the duration of the action. public TimeSpan ActDuration { get; set; } Property Value TimeSpan Remarks The duration represents: The time required to complete the action Should be positive and finite Zero duration indicates an instantaneous action Used for scheduling and timing calculations ProgramPolarXczSeq Gets or sets the program polar XCZ sequence pair. public SeqPair<Vec3d> ProgramPolarXczSeq { get; set; } Property Value SeqPair<Vec3d> Remarks Contains the start and end points in polar XCZ coordinates for interpolation in polar coordinate system. Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>) Gets the machine XYZABC steps for this contour. public IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action<object> coordinateConversionFailedAction) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. coordinateConversionFailedAction Action<object> Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP). Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps."
   },
   "api/Hi.Numerical.Acts.ActMcXyzLinearContour.html": {
     "href": "api/Hi.Numerical.Acts.ActMcXyzLinearContour.html",
@@ -3582,7 +3587,7 @@
   "api/Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.html": {
     "href": "api/Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.html",
     "title": "Class ActMcXyzabcOrientableLinearContour | HiAPI-C# 2025",
-    "summary": "Class ActMcXyzabcOrientableLinearContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Action of Machine Coordinate XYZABC contour by Machine Coordinate orientable linear interpolation. This class handles complex tool movements with both position and orientation control. public class ActMcXyzabcOrientableLinearContour : IActDuration, IActMcXyzabcContour, IAct Inheritance object ActMcXyzabcOrientableLinearContour Implements IActDuration IActMcXyzabcContour IAct Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Remarks This class is used for: 5-axis machining movements Tool orientation control Linear interpolation with orientation Complex contour following The movement combines: Linear position interpolation (XYZ) Rotational orientation interpolation (ABC) Synchronized motion control Constructors ActMcXyzabcOrientableLinearContour(SeqPair<DVec3d>, TimeSpan, ICoordinateConverter) Initializes a new instance. public ActMcXyzabcOrientableLinearContour(SeqPair<DVec3d> mcSeq, TimeSpan duration, ICoordinateConverter coordinateConverter) Parameters mcSeq SeqPair<DVec3d> Machine coordinate sequence pair duration TimeSpan Duration of the contour movement coordinateConverter ICoordinateConverter Coordinate converter for transformation. Null is acceptable if no cutter location distance is needed. Properties ActDuration Gets or sets the duration of the action. public TimeSpan ActDuration { get; set; } Property Value TimeSpan Remarks The duration represents: The time required to complete the action Should be positive and finite Zero duration indicates an instantaneous action Used for scheduling and timing calculations CoordinateConverter Gets or sets the coordinate converter. Can be null if no cutter location distance is needed for interpolation. public ICoordinateConverter CoordinateConverter { get; set; } Property Value ICoordinateConverter Remarks The converter is used for: Coordinate system transformations Distance calculations Path optimization Optional for simple movements McSeq Gets or sets the machine coordinate sequence pair. The Normal property of DVec3d represents ABC angles in radians. public SeqPair<DVec3d> McSeq { get; set; } Property Value SeqPair<DVec3d> Remarks The sequence pair contains: Start and end positions in machine coordinates Tool orientation angles (ABC) in radians Used for interpolation calculations Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double) Gets the machine XYZABC steps for this contour. public IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps. ToString() Returns a string that represents the current object. public override string ToString() Returns string A string that represents the current object."
+    "summary": "Class ActMcXyzabcOrientableLinearContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Action of Machine Coordinate XYZABC contour by Machine Coordinate orientable linear interpolation. This class handles complex tool movements with both position and orientation control. public class ActMcXyzabcOrientableLinearContour : IActDuration, IActMcXyzabcContour, IAct Inheritance object ActMcXyzabcOrientableLinearContour Implements IActDuration IActMcXyzabcContour IAct Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Remarks This class is used for: 5-axis machining movements Tool orientation control Linear interpolation with orientation Complex contour following The movement combines: Linear position interpolation (XYZ) Rotational orientation interpolation (ABC) Synchronized motion control Constructors ActMcXyzabcOrientableLinearContour(SeqPair<DVec3d>, TimeSpan, ICoordinateConverter) Initializes a new instance. public ActMcXyzabcOrientableLinearContour(SeqPair<DVec3d> mcSeq, TimeSpan duration, ICoordinateConverter coordinateConverter) Parameters mcSeq SeqPair<DVec3d> Machine coordinate sequence pair duration TimeSpan Duration of the contour movement coordinateConverter ICoordinateConverter Coordinate converter for transformation. Null is acceptable if no cutter location distance is needed. Properties ActDuration Gets or sets the duration of the action. public TimeSpan ActDuration { get; set; } Property Value TimeSpan Remarks The duration represents: The time required to complete the action Should be positive and finite Zero duration indicates an instantaneous action Used for scheduling and timing calculations CoordinateConverter Gets or sets the coordinate converter. Can be null if no cutter location distance is needed for interpolation. public ICoordinateConverter CoordinateConverter { get; set; } Property Value ICoordinateConverter Remarks The converter is used for: Coordinate system transformations Distance calculations Path optimization Optional for simple movements McSeq Gets or sets the machine coordinate sequence pair. The Normal property of DVec3d represents ABC angles in radians. public SeqPair<DVec3d> McSeq { get; set; } Property Value SeqPair<DVec3d> Remarks The sequence pair contains: Start and end positions in machine coordinates Tool orientation angles (ABC) in radians Used for interpolation calculations Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>) Gets the machine XYZABC steps for this contour. public IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action<object> coordinateConversionFailedAction) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. coordinateConversionFailedAction Action<object> Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP). Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps. ToString() Returns a string that represents the current object. public override string ToString() Returns string A string that represents the current object."
   },
   "api/Hi.Numerical.Acts.ActMcXyzabcStep.html": {
     "href": "api/Hi.Numerical.Acts.ActMcXyzabcStep.html",
@@ -3607,7 +3612,7 @@
   "api/Hi.Numerical.Acts.ActSpiralMcXyzContour.html": {
     "href": "api/Hi.Numerical.Acts.ActSpiralMcXyzContour.html",
     "title": "Class ActSpiralMcXyzContour | HiAPI-C# 2025",
-    "summary": "Class ActSpiralMcXyzContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Represents a spiral contour movement in machine XYZ coordinates. public class ActSpiralMcXyzContour : IActDuration, IActMcXyzabcContour, IAct Inheritance object ActSpiralMcXyzContour Implements IActDuration IActMcXyzabcContour IAct Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors ActSpiralMcXyzContour(Vec3d, Vec3d, Vec3d, Vec3d, int, TimeSpan, Func<Vec3d, DVec3d>) Initializes a new instance of the ActSpiralMcXyzContour class with the specified parameters. public ActSpiralMcXyzContour(Vec3d programPosBegin, Vec3d programPosEnd, Vec3d programPosCenterOnBeginPlane, Vec3d centerNormal, int additionalCircleNum, TimeSpan actDuration, Func<Vec3d, DVec3d> programPosToMcFunc) Parameters programPosBegin Vec3d The beginning position in program coordinates. programPosEnd Vec3d The ending position in program coordinates. programPosCenterOnBeginPlane Vec3d The center position of the spiral in program coordinates. centerNormal Vec3d The normal vector of the center plane. additionalCircleNum int The number of additional circles in the spiral movement. actDuration TimeSpan The duration of the contour movement. programPosToMcFunc Func<Vec3d, DVec3d> The function to convert program position to machine coordinates. Properties ActDuration Gets or sets the duration of the action. public TimeSpan ActDuration { get; set; } Property Value TimeSpan Remarks The duration represents: The time required to complete the action Should be positive and finite Zero duration indicates an instantaneous action Used for scheduling and timing calculations AdditionalCircleNum Gets or sets the number of additional circles in the spiral movement. public int AdditionalCircleNum { get; set; } Property Value int CenterNormal Gets or sets the normal vector of the center plane. public Vec3d CenterNormal { get; set; } Property Value Vec3d ProgramPosBegin Gets or sets the beginning position in program coordinates. public Vec3d ProgramPosBegin { get; set; } Property Value Vec3d ProgramPosCenterOnBeginPlane Gets or sets the center position of the spiral in program coordinates. public Vec3d ProgramPosCenterOnBeginPlane { get; set; } Property Value Vec3d ProgramPosEnd Gets or sets the ending position in program coordinates. public Vec3d ProgramPosEnd { get; set; } Property Value Vec3d ProgramPosToMcFunc Gets or sets the function to convert program position to machine coordinates. public Func<Vec3d, DVec3d> ProgramPosToMcFunc { get; set; } Property Value Func<Vec3d, DVec3d> Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double) Gets the machine XYZABC steps for this contour. public IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps. GetDerivative(Vec3d, Vec3d, Vec3d, Vec3d, int, out Vec3d, out double, out double, out Vec3d, out double, out double) Get derivatives. public static void GetDerivative(Vec3d begin, Vec3d end, Vec3d centerOnBeginPlane, Vec3d centerNormal, int additionalCircleNum, out Vec3d arrowBeginOnProj, out double r0, out double r1, out Vec3d axialMove, out double angleOnProj, out double approxCurveLength) Parameters begin Vec3d end Vec3d centerOnBeginPlane Vec3d centerNormal Vec3d additionalCircleNum int arrowBeginOnProj Vec3d r0 double r1 double axialMove Vec3d synchronized move along the axis angleOnProj double approxCurveLength double GetNcDerivative(Vec3d, Vec3d, Vec2d, int, bool, int, out Vec3d, out double, out double, out Vec3d, out double, out double) Calculates the derivative parameters for numerical control spiral movement. public static void GetNcDerivative(Vec3d ncBegin, Vec3d ncEnd, Vec2d ncCenterVec2d, int planeNormalDir, bool isCcw, int additionalCircleNum, out Vec3d arrowBeginOnProj, out double r0, out double r1, out Vec3d axialMove, out double angleOnProj, out double approxCurveLength) Parameters ncBegin Vec3d The beginning position in NC coordinates. ncEnd Vec3d The ending position in NC coordinates. ncCenterVec2d Vec2d The center position vector in 2D NC coordinates. planeNormalDir int The direction of the plane normal (0=X, 1=Y, 2=Z). isCcw bool Indicates whether the movement is counter-clockwise. additionalCircleNum int The number of additional circles in the spiral movement. arrowBeginOnProj Vec3d The output arrow begin position on projection. r0 double The output starting radius. r1 double The output ending radius. axialMove Vec3d The output axial movement vector. angleOnProj double The output angle on projection. approxCurveLength double The output approximate curve length. ToString() Returns a string that represents the current object. public override string ToString() Returns string A string that represents the current object."
+    "summary": "Class ActSpiralMcXyzContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Represents a spiral contour movement in machine XYZ coordinates. public class ActSpiralMcXyzContour : IActDuration, IActMcXyzabcContour, IAct Inheritance object ActSpiralMcXyzContour Implements IActDuration IActMcXyzabcContour IAct Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors ActSpiralMcXyzContour(Vec3d, Vec3d, Vec3d, Vec3d, int, TimeSpan, Func<Vec3d, DVec3d>) Initializes a new instance of the ActSpiralMcXyzContour class with the specified parameters. public ActSpiralMcXyzContour(Vec3d programPosBegin, Vec3d programPosEnd, Vec3d programPosCenterOnBeginPlane, Vec3d centerNormal, int additionalCircleNum, TimeSpan actDuration, Func<Vec3d, DVec3d> programPosToMcFunc) Parameters programPosBegin Vec3d The beginning position in program coordinates. programPosEnd Vec3d The ending position in program coordinates. programPosCenterOnBeginPlane Vec3d The center position of the spiral in program coordinates. centerNormal Vec3d The normal vector of the center plane. additionalCircleNum int The number of additional circles in the spiral movement. actDuration TimeSpan The duration of the contour movement. programPosToMcFunc Func<Vec3d, DVec3d> The function to convert program position to machine coordinates. Properties ActDuration Gets or sets the duration of the action. public TimeSpan ActDuration { get; set; } Property Value TimeSpan Remarks The duration represents: The time required to complete the action Should be positive and finite Zero duration indicates an instantaneous action Used for scheduling and timing calculations AdditionalCircleNum Gets or sets the number of additional circles in the spiral movement. public int AdditionalCircleNum { get; set; } Property Value int CenterNormal Gets or sets the normal vector of the center plane. public Vec3d CenterNormal { get; set; } Property Value Vec3d ProgramPosBegin Gets or sets the beginning position in program coordinates. public Vec3d ProgramPosBegin { get; set; } Property Value Vec3d ProgramPosCenterOnBeginPlane Gets or sets the center position of the spiral in program coordinates. public Vec3d ProgramPosCenterOnBeginPlane { get; set; } Property Value Vec3d ProgramPosEnd Gets or sets the ending position in program coordinates. public Vec3d ProgramPosEnd { get; set; } Property Value Vec3d ProgramPosToMcFunc Gets or sets the function to convert program position to machine coordinates. public Func<Vec3d, DVec3d> ProgramPosToMcFunc { get; set; } Property Value Func<Vec3d, DVec3d> Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>) Gets the machine XYZABC steps for this contour. public IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action<object> coordinateConversionFailedAction) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. coordinateConversionFailedAction Action<object> Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP). Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps. GetDerivative(Vec3d, Vec3d, Vec3d, Vec3d, int, out Vec3d, out double, out double, out Vec3d, out double, out double) Get derivatives. public static void GetDerivative(Vec3d begin, Vec3d end, Vec3d centerOnBeginPlane, Vec3d centerNormal, int additionalCircleNum, out Vec3d arrowBeginOnProj, out double r0, out double r1, out Vec3d axialMove, out double angleOnProj, out double approxCurveLength) Parameters begin Vec3d end Vec3d centerOnBeginPlane Vec3d centerNormal Vec3d additionalCircleNum int arrowBeginOnProj Vec3d r0 double r1 double axialMove Vec3d synchronized move along the axis angleOnProj double approxCurveLength double GetNcDerivative(Vec3d, Vec3d, Vec2d, int, bool, int, out Vec3d, out double, out double, out Vec3d, out double, out double) Calculates the derivative parameters for numerical control spiral movement. public static void GetNcDerivative(Vec3d ncBegin, Vec3d ncEnd, Vec2d ncCenterVec2d, int planeNormalDir, bool isCcw, int additionalCircleNum, out Vec3d arrowBeginOnProj, out double r0, out double r1, out Vec3d axialMove, out double angleOnProj, out double approxCurveLength) Parameters ncBegin Vec3d The beginning position in NC coordinates. ncEnd Vec3d The ending position in NC coordinates. ncCenterVec2d Vec2d The center position vector in 2D NC coordinates. planeNormalDir int The direction of the plane normal (0=X, 1=Y, 2=Z). isCcw bool Indicates whether the movement is counter-clockwise. additionalCircleNum int The number of additional circles in the spiral movement. arrowBeginOnProj Vec3d The output arrow begin position on projection. r0 double The output starting radius. r1 double The output ending radius. axialMove Vec3d The output axial movement vector. angleOnProj double The output angle on projection. approxCurveLength double The output approximate curve length. ToString() Returns a string that represents the current object. public override string ToString() Returns string A string that represents the current object."
   },
   "api/Hi.Numerical.Acts.ActToolingStep.html": {
     "href": "api/Hi.Numerical.Acts.ActToolingStep.html",
@@ -3657,7 +3662,7 @@
   "api/Hi.Numerical.Acts.IActMcXyzabcContour.html": {
     "href": "api/Hi.Numerical.Acts.IActMcXyzabcContour.html",
     "title": "Interface IActMcXyzabcContour | HiAPI-C# 2025",
-    "summary": "Interface IActMcXyzabcContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Interface for actions that represent machine XYZABC contours. public interface IActMcXyzabcContour : IAct Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double) Gets the machine XYZABC steps for this contour. IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps."
+    "summary": "Interface IActMcXyzabcContour Namespace Hi.Numerical.Acts Assembly HiMech.dll Interface for actions that represent machine XYZABC contours. public interface IActMcXyzabcContour : IAct Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Methods GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>) Gets the machine XYZABC steps for this contour. IEnumerable<ActMcXyzabcStep> GetActMcXyzabcSteps(IMachiningMotionResolution ncResolution, double spindleBuckleToToolTipLength, Action<object> coordinateConversionFailedAction) Parameters ncResolution IMachiningMotionResolution The machining motion resolution to use for step generation. spindleBuckleToToolTipLength double The length from spindle buckle to tool tip, used for computing step numbers. coordinateConversionFailedAction Action<object> Called when attacher NP to MC conversion fails; the argument is the failed DVec3d (attacher NP). Returns IEnumerable<ActMcXyzabcStep> A collection of machine XYZABC steps."
   },
   "api/Hi.Numerical.Acts.IActSkip.html": {
     "href": "api/Hi.Numerical.Acts.IActSkip.html",
@@ -4497,7 +4502,7 @@
   "api/Hi.Numerical.Xyzabc.ICoordinateConverter.html": {
     "href": "api/Hi.Numerical.Xyzabc.ICoordinateConverter.html",
     "title": "Interface ICoordinateConverter | HiAPI-C# 2025",
-    "summary": "Interface ICoordinateConverter Namespace Hi.Numerical.Xyzabc Assembly HiMech.dll Device for UniNc controller. public interface ICoordinateConverter Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Methods AttacherPnToMc(DVec3d, out bool) tool attacher NP (Normal and Point) to machine coordinate. The NP is from table buckle to tool attacher. DVec3d AttacherPnToMc(DVec3d pn, out bool isConverted) Parameters pn DVec3d tool attacher NP (Normal and Point) isConverted bool is conversion succeed Returns DVec3d machine coordinate IsAxisAExisted() Is rotary A existed. bool IsAxisAExisted() Returns bool Is rotary A existed. IsAxisBExisted() Is rotary B existed. bool IsAxisBExisted() Returns bool Is rotary B existed. IsAxisCExisted() Is rotary C existed. bool IsAxisCExisted() Returns bool Is rotary C existed. McAbcToTiltMat(Vec3d) Converts machine ABC coordinates to a tilt matrix. the tilt matrix is the transformation matrix from table to attacher. Mat4d McAbcToTiltMat(Vec3d mcAbc_rad) Parameters mcAbc_rad Vec3d The machine ABC coordinates in radians Returns Mat4d The tilt matrix McToAttacherMat(DVec3d) Converts machine coordinates to an attacher matrix. Mat4d McToAttacherMat(DVec3d mcXyzabc) Parameters mcXyzabc DVec3d The machine coordinates Returns Mat4d The attacher matrix McToAttacherPn(DVec3d) Machine coordinate to tool attacher NP (Normal and Point). The NP is from table buckle to tool attacher. DVec3d McToAttacherPn(DVec3d mcXyzabc) Parameters mcXyzabc DVec3d machine coordinate. ABC is in radian. Returns DVec3d tool attacher Pn (Point and Normal) TiltMatToMcAbc(Mat4d, out Vec3d) Converts a tilt matrix to machine ABC coordinates. the tilt matrix is the transformation matrix from table to attacher. bool TiltMatToMcAbc(Mat4d tiltMat, out Vec3d mcAbc_rad) Parameters tiltMat Mat4d The tilt matrix to convert mcAbc_rad Vec3d Output parameter that will contain the machine ABC coordinates in radians Returns bool Whether the conversion was successful"
+    "summary": "Interface ICoordinateConverter Namespace Hi.Numerical.Xyzabc Assembly HiMech.dll Device for UniNc controller. public interface ICoordinateConverter Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Methods AttacherNpToMc(DVec3d, out DVec3d) tool attacher NP (Normal and Point) to machine coordinate. The NP is from table buckle to tool attacher. bool AttacherNpToMc(DVec3d pn, out DVec3d mcXyzabc_rad) Parameters pn DVec3d tool attacher NP (Normal and Point) mcXyzabc_rad DVec3d machine coordinate (ABC in radian) Returns bool whether conversion succeeded IsAxisAExisted() Is rotary A existed. bool IsAxisAExisted() Returns bool Is rotary A existed. IsAxisBExisted() Is rotary B existed. bool IsAxisBExisted() Returns bool Is rotary B existed. IsAxisCExisted() Is rotary C existed. bool IsAxisCExisted() Returns bool Is rotary C existed. McAbcToTiltMat(Vec3d) Converts machine ABC coordinates to a tilt matrix. the tilt matrix is the transformation matrix from table to attacher. Mat4d McAbcToTiltMat(Vec3d mcAbc_rad) Parameters mcAbc_rad Vec3d The machine ABC coordinates in radians Returns Mat4d The tilt matrix McToAttacherMat(DVec3d) Converts machine coordinates to an attacher matrix. Mat4d McToAttacherMat(DVec3d mcXyzabc) Parameters mcXyzabc DVec3d The machine coordinates Returns Mat4d The attacher matrix McToAttacherNp(DVec3d) Machine coordinate to tool attacher NP (Normal and Point). The NP is from table buckle to tool attacher. DVec3d McToAttacherNp(DVec3d mcXyzabc) Parameters mcXyzabc DVec3d machine coordinate. ABC is in radian. Returns DVec3d tool attacher Np (Normal and Point) TiltMatToMcAbc(Mat4d, out Vec3d) Converts a tilt matrix to machine ABC coordinates. the tilt matrix is the transformation matrix from table to attacher. bool TiltMatToMcAbc(Mat4d tiltMat, out Vec3d mcAbc_rad) Parameters tiltMat Mat4d The tilt matrix to convert mcAbc_rad Vec3d Output parameter that will contain the machine ABC coordinates in radians Returns bool Whether the conversion was successful"
   },
   "api/Hi.Numerical.Xyzabc.IGetMcXyzabc.html": {
     "href": "api/Hi.Numerical.Xyzabc.IGetMcXyzabc.html",
@@ -4512,7 +4517,7 @@
   "api/Hi.Numerical.Xyzabc.IXyzabcChain.html": {
     "href": "api/Hi.Numerical.Xyzabc.IXyzabcChain.html",
     "title": "Interface IXyzabcChain | HiAPI-C# 2025",
-    "summary": "Interface IXyzabcChain Namespace Hi.Numerical.Xyzabc Assembly HiMech.dll A single chain contains subset transformers of {X,Y,Z,A,B,C} . public interface IXyzabcChain : IGetXyzabcChain, IMachiningChain, IGetAsmb, IGetAnchor, IGetTopoIndex, IMakeXmlSource, IGetAnchorToSolidDictionary, IGetAnchoredDisplayeeList, IExpandToBox3d Inherited Members IGetXyzabcChain.GetXyzabcChain() IMachiningChain.GetTableBuckle() IMachiningChain.GetToolBuckle() IMachiningChain.McCodes IMachiningChain.McTransformers IGetAsmb.GetAsmb() IGetAnchor.GetAnchor() IMakeXmlSource.MakeXmlSource(string, string, bool) IGetAnchorToSolidDictionary.GetAnchorToSolidDictionary() IGetAnchorToSolidDictionary.PrepareAnchorSolids() IGetAnchoredDisplayeeList.GetAnchoredDisplayeeList() IExpandToBox3d.ExpandToBox3d(Box3d) Extension Methods MachiningChainUtil.GetMcCodeTransformerDictionary(IMachiningChain) TopoUtil.Display(IGetAnchor, Bind, Dictionary<Anchor, Mat4d>) TopoUtil.ExpandToBox3d(IGetAnchor, Box3d, Dictionary<Anchor, Mat4d>) DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) XyzabcUtil.GenerateCollisionIndexPairs(IXyzabcChain) XyzabcUtil.GetMc(IXyzabcChain, out DVec3d) XyzabcUtil.GetMc(IXyzabcChain, out double, out double, out double, out double, out double, out double) XyzabcUtil.GetMcAbc_rad(IXyzabcChain, out Abc) XyzabcUtil.GetMcXyzabc(IXyzabcChain) XyzabcUtil.GetNp(IXyzabcChain) XyzabcUtil.GetTransformationMat4d(IXyzabcChain) XyzabcUtil.SetMc(IXyzabcChain, DVec3d) XyzabcUtil.SetMc(IXyzabcChain, Vec3d) XyzabcUtil.SetMc(IXyzabcChain, double, double, double) XyzabcUtil.SetMc(IXyzabcChain, double, double, double, double, double, double) XyzabcUtil.SetMcAbc_rad(IXyzabcChain, Vec3d) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Methods GetTransformerA() Get transformer A. DynamicRotation GetTransformerA() Returns DynamicRotation transformer A GetTransformerB() Get transformer B. DynamicRotation GetTransformerB() Returns DynamicRotation transformer B GetTransformerC() Get transformer C. DynamicRotation GetTransformerC() Returns DynamicRotation transformer C GetTransformerX() Get transformer X. DynamicTranslation GetTransformerX() Returns DynamicTranslation transformer X GetTransformerY() Get transformer Y. DynamicTranslation GetTransformerY() Returns DynamicTranslation transformer Y GetTransformerZ() Get transformer Z. DynamicTranslation GetTransformerZ() Returns DynamicTranslation transformer Z"
+    "summary": "Interface IXyzabcChain Namespace Hi.Numerical.Xyzabc Assembly HiMech.dll A single chain contains subset transformers of {X,Y,Z,A,B,C} . public interface IXyzabcChain : IGetXyzabcChain, IMachiningChain, IGetAsmb, IGetAnchor, IGetTopoIndex, IMakeXmlSource, IGetAnchorToSolidDictionary, IGetAnchoredDisplayeeList, IExpandToBox3d Inherited Members IGetXyzabcChain.GetXyzabcChain() IMachiningChain.GetTableBuckle() IMachiningChain.GetToolBuckle() IMachiningChain.McCodes IMachiningChain.McTransformers IGetAsmb.GetAsmb() IGetAnchor.GetAnchor() IMakeXmlSource.MakeXmlSource(string, string, bool) IGetAnchorToSolidDictionary.GetAnchorToSolidDictionary() IGetAnchorToSolidDictionary.PrepareAnchorSolids() IGetAnchoredDisplayeeList.GetAnchoredDisplayeeList() IExpandToBox3d.ExpandToBox3d(Box3d) Extension Methods MachiningChainUtil.GetMcCodeTransformerDictionary(IMachiningChain) TopoUtil.Display(IGetAnchor, Bind, Dictionary<Anchor, Mat4d>) TopoUtil.ExpandToBox3d(IGetAnchor, Box3d, Dictionary<Anchor, Mat4d>) DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) XyzabcUtil.GenerateCollisionIndexPairs(IXyzabcChain) XyzabcUtil.GetMc(IXyzabcChain, out DVec3d) XyzabcUtil.GetMc(IXyzabcChain, out double, out double, out double, out double, out double, out double) XyzabcUtil.GetMcAbc_rad(IXyzabcChain, out Abc) XyzabcUtil.GetMcXyzabc(IXyzabcChain) XyzabcUtil.GetNp(IXyzabcChain) XyzabcUtil.GetTransformationMat4d(IXyzabcChain) XyzabcUtil.SetMc(IXyzabcChain, DVec3d) XyzabcUtil.SetMc(IXyzabcChain, Vec3d) XyzabcUtil.SetMc(IXyzabcChain, double, double, double) XyzabcUtil.SetMc(IXyzabcChain, double, double, double, double, double, double) XyzabcUtil.SetMcAbc_rad(IXyzabcChain, Vec3d) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Methods GetTransformerA() Get transformer A. DynamicRotation GetTransformerA() Returns DynamicRotation transformer A GetTransformerAbc() IDynamicRotation[] GetTransformerAbc() Returns IDynamicRotation[] GetTransformerB() Get transformer B. DynamicRotation GetTransformerB() Returns DynamicRotation transformer B GetTransformerC() Get transformer C. DynamicRotation GetTransformerC() Returns DynamicRotation transformer C GetTransformerX() Get transformer X. DynamicTranslation GetTransformerX() Returns DynamicTranslation transformer X GetTransformerXyz() DynamicTranslation[] GetTransformerXyz() Returns DynamicTranslation[] GetTransformerY() Get transformer Y. DynamicTranslation GetTransformerY() Returns DynamicTranslation transformer Y GetTransformerZ() Get transformer Z. DynamicTranslation GetTransformerZ() Returns DynamicTranslation transformer Z"
   },
   "api/Hi.Numerical.Xyzabc.ReflectedXyzabcChain.html": {
     "href": "api/Hi.Numerical.Xyzabc.ReflectedXyzabcChain.html",
@@ -4522,7 +4527,7 @@
   "api/Hi.Numerical.Xyzabc.XyzabcSolver.html": {
     "href": "api/Hi.Numerical.Xyzabc.XyzabcSolver.html",
     "title": "Class XyzabcSolver | HiAPI-C# 2025",
-    "summary": "Class XyzabcSolver Namespace Hi.Numerical.Xyzabc Assembly HiMech.dll Support to two-way conversion between MC (machine coordinate) and NP (Normal and Point). public class XyzabcSolver : ICoordinateConverter Inheritance object XyzabcSolver Implements ICoordinateConverter Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Remarks Call Rebuild() if the kinematic chain of Device is changed. Constructors XyzabcSolver(IXyzabcChain) Ctor. public XyzabcSolver(IXyzabcChain device) Parameters device IXyzabcChain target device Properties Device Deivce. public IXyzabcChain Device { get; } Property Value IXyzabcChain Methods AttacherPnToMc(DVec3d, out bool) tool attacher NP (Normal and Point) to machine coordinate. The NP is from table buckle to tool attacher. public DVec3d AttacherPnToMc(DVec3d np, out bool isConverted) Parameters np DVec3d isConverted bool is conversion succeed Returns DVec3d machine coordinate IsAxisAExisted() Is rotary A existed. public bool IsAxisAExisted() Returns bool Is rotary A existed. IsAxisBExisted() Is rotary B existed. public bool IsAxisBExisted() Returns bool Is rotary B existed. IsAxisCExisted() Is rotary C existed. public bool IsAxisCExisted() Returns bool Is rotary C existed. McAbcToTiltMat(Vec3d) Converts machine ABC coordinates to a tilt matrix. the tilt matrix is the transformation matrix from table to attacher. public Mat4d McAbcToTiltMat(Vec3d mcAbc_rad) Parameters mcAbc_rad Vec3d The machine ABC coordinates in radians Returns Mat4d The tilt matrix McToAttacherMat(DVec3d) Converts machine coordinates to an attacher matrix. public Mat4d McToAttacherMat(DVec3d mc) Parameters mc DVec3d Returns Mat4d The attacher matrix McToAttacherPn(DVec3d) Machine coordinate to tool attacher NP (Normal and Point). The NP is from table buckle to tool attacher. public DVec3d McToAttacherPn(DVec3d mc) Parameters mc DVec3d Returns DVec3d tool attacher Pn (Point and Normal) Rebuild() Rebuild the solver. It should be called after the kinematic chain of Device is changed. public void Rebuild() SetNp(DVec3d) Cutter location to machine coordinate. public bool SetNp(DVec3d np) Parameters np DVec3d normal and point Returns bool true if solved TiltMatToMcAbc(Mat4d, out Vec3d) Converts a tilt matrix to machine ABC coordinates. the tilt matrix is the transformation matrix from table to attacher. public bool TiltMatToMcAbc(Mat4d tiltMat, out Vec3d mcAbc_rad) Parameters tiltMat Mat4d The tilt matrix to convert mcAbc_rad Vec3d Output parameter that will contain the machine ABC coordinates in radians Returns bool Whether the conversion was successful"
+    "summary": "Class XyzabcSolver Namespace Hi.Numerical.Xyzabc Assembly HiMech.dll Support to two-way conversion between MC (machine coordinate) and NP (Normal and Point). public class XyzabcSolver : ICoordinateConverter Inheritance object XyzabcSolver Implements ICoordinateConverter Inherited Members object.Equals(object) object.Equals(object, object) object.GetHashCode() object.GetType() object.MemberwiseClone() object.ReferenceEquals(object, object) object.ToString() Extension Methods DuplicateUtil.TryDuplicate<TSelf>(TSelf, params object[]) InvokeUtil.SelfInvoke<TSrc>(TSrc, Action<TSrc>) InvokeUtil.SelfInvoke<TSrc, TDst>(TSrc, Func<TSrc, TDst>) ColorUtil.GetGloomyColor(object, double, double) NameUtil.GetSelectionName(object) StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool) LockUtil.Lock(object) Constructors XyzabcSolver(IXyzabcChain) Ctor. public XyzabcSolver(IXyzabcChain srcDevice) Parameters srcDevice IXyzabcChain target device Methods AttacherNpToMc(DVec3d, out DVec3d) tool attacher NP (Normal and Point) to machine coordinate. The NP is from table buckle to tool attacher. public bool AttacherNpToMc(DVec3d np, out DVec3d mcXyzabc_rad) Parameters np DVec3d mcXyzabc_rad DVec3d machine coordinate (ABC in radian) Returns bool whether conversion succeeded IsAxisAExisted() Is rotary A existed. public bool IsAxisAExisted() Returns bool Is rotary A existed. IsAxisBExisted() Is rotary B existed. public bool IsAxisBExisted() Returns bool Is rotary B existed. IsAxisCExisted() Is rotary C existed. public bool IsAxisCExisted() Returns bool Is rotary C existed. McAbcToTiltMat(Vec3d) Converts machine ABC coordinates to a tilt matrix. the tilt matrix is the transformation matrix from table to attacher. public Mat4d McAbcToTiltMat(Vec3d mcAbc_rad) Parameters mcAbc_rad Vec3d The machine ABC coordinates in radians Returns Mat4d The tilt matrix McToAttacherMat(DVec3d) Converts machine coordinates to an attacher matrix. public Mat4d McToAttacherMat(DVec3d mc) Parameters mc DVec3d Returns Mat4d The attacher matrix McToAttacherNp(DVec3d) Machine coordinate to tool attacher NP (Normal and Point). The NP is from table buckle to tool attacher. public DVec3d McToAttacherNp(DVec3d mc) Parameters mc DVec3d Returns DVec3d tool attacher Np (Normal and Point) Rebuild() Rebuild the solver. It should be called after the kinematic chain of Hi.Numerical.Xyzabc.XyzabcSolver.SrcDevice is modified. public void Rebuild() SetNp(DVec3d, out DVec3d) Cutter location to machine coordinate. public bool SetNp(DVec3d np, out DVec3d mc) Parameters np DVec3d normal and point mc DVec3d Returns bool true if solved TiltMatToMcAbc(Mat4d, out Vec3d) Converts a tilt matrix to machine ABC coordinates. the tilt matrix is the transformation matrix from table to attacher. public bool TiltMatToMcAbc(Mat4d tiltMat, out Vec3d mcAbc_rad) Parameters tiltMat Mat4d The tilt matrix to convert mcAbc_rad Vec3d Output parameter that will contain the machine ABC coordinates in radians Returns bool Whether the conversion was successful"
   },
   "api/Hi.Numerical.Xyzabc.XyzabcUtil.html": {
     "href": "api/Hi.Numerical.Xyzabc.XyzabcUtil.html",
@@ -5342,7 +5347,7 @@
   "dev-doc/build-hinc/message-section-on-main-panel.html": {
     "href": "dev-doc/build-hinc/message-section-on-main-panel.html",
     "title": "Message Section | HiAPI-C# 2025",
-    "summary": "Message Section The Message Section displays application messages and logs at the bottom of the Main Panel. Message Handling The Message Section is connected to MessageHost.Default through the OnAdding event. When a message is added: The Brief Message Text Field content is updated The message is appended to the daily log file at logs/log-{DateTime.Now:yyyy-MM-dd}.txt Message Types The MessageFlag determines the display behavior: Flag Display Behavior Exception Alert style, shown in Message Section Warning and above Shown in Message Section Info and below Logged only, not shown in Message Section Note When the message is an Exception, the brief message shows Message while the full exception details are logged to file. Platform-Specific Layouts WPF Application The WPF version uses a fixed bottom bar: Message Section Bottom Bar Brief Message Text Field (selectable for copy) Show Log Button Web Application The Web version uses Bootstrap-style stacking toasts: Message Section Stacking Toast Brief Message Text Field Auto-hide enabled only for low-priority messages Log Page The Log Page provides access to daily logs: Header: Log Label, Refresh Button, Download Button Content: Log TextArea Show Log Button The Show Log Button opens a modal or editor view displaying the current day's log content. Note The log file may not exist if no messages have been recorded yet."
+    "summary": "Message Section The Message Section displays application messages and logs at the bottom of the Main Panel. Message Handling The Message Section is connected to MessageHost.Default through the ProgressChanged event. When a message is reported: The Brief Message Text Field content is updated The message is appended to the daily log file at logs/log-{DateTime.Now:yyyy-MM-dd}.txt Message Types The MessageFlag determines the display behavior: Flag Display Behavior Exception Alert style, shown in Message Section Warning and above Shown in Message Section Info and below Logged only, not shown in Message Section Note When the message is an Exception, the brief message shows Message while the full exception details are logged to file. Platform-Specific Layouts WPF Application The WPF version uses a fixed bottom bar: Message Section Bottom Bar Brief Message Text Field (selectable for copy) Show Log Button Web Application The Web version uses Bootstrap-style stacking toasts: Message Section Stacking Toast Brief Message Text Field Auto-hide enabled only for low-priority messages Log Page The Log Page provides access to daily logs: Header: Log Label, Refresh Button, Download Button Content: Log TextArea Show Log Button The Show Log Button opens a modal or editor view displaying the current day's log content. Note The log file may not exist if no messages have been recorded yet."
   },
   "dev-doc/build-hinc/mission/ListCommand-panel.html": {
     "href": "dev-doc/build-hinc/mission/ListCommand-panel.html",
@@ -5507,7 +5512,7 @@
   "dev-doc/release-note/index.html": {
     "href": "dev-doc/release-note/index.html",
     "title": "Release Note | HiAPI-C# 2025",
-    "summary": "Release Note HiNc Packages Version 3.1.144 Enhance Siemens Sinumerik support: Siemens CYCLE800 coordinate transform and reset Siemens MCALL CYCLE81() drilling cycle parsing Siemens TRAORI/TRAFOOF/SUPA flag parsing Fix Siemens TRAFOOF plain rotation coordinate transform issue Fix Siemens coordinate transform for successive file running Fix relief face collision floating-point precision issue Replace MongoDB with SQLite for local step data storage (significant package size reduction) Add machining and motion resolution dynamic adjustment functions HiNc Packages Version 3.1.106 Rename mapping API for clearer naming: ReadCsvByTimeInterpolation → MapSingleByCsvFile (one-to-one mapping) MapByActualTime → MapSeriesByCsvFile (one-to-many mapping) Rename CSV column prefix Spindle to Holder for sensor data mapping Unify CSV column tags to MappingUtil for consistent data mapping Fix ChartRange manipulation to be time-based instead of step-based for more accurate time chart display Tune thread priority for machining parallel processing to improve UI responsiveness during simulation Various code cleanup and improvements HiNc Packages Version 3.1.102 Separate resource files (Resource, wwwroot, Doc) to HiNc-Resource nuget package for smaller package size Add ScaledFeedPerCycle function for scaled feed-per-cycle machining motion resolution Upgrade target framework to .NET 10.0 Various code cleanup and improvements HiNc Packages Version 3.1.100 Refactor project architecture: split runtime functions from MachiningProject to LocalProjectService for better separation of concerns Improve MillingTraining module with separate lead and result parameter templates for more accurate cutting parameter training Separate C++ library for code protection Add UTF-8 file path support for runtime geometry IO operations Improve CsvRunner with enhanced time mapping pattern Various architecture improvements and bug fixes HiNc Packages Version 3.1.91 Add NcOptimizationEmbeddedLogMode to control embedded log detail level (None/SimpleLog/FullLog) (see 嵌入式日誌註解). Fix bug of NcOptProc duplicated feedrate assignment HiNc Packages Version 3.1.90 Rename optimization log API EnableIndividualStepAdjustmentLog Fix crash from workpiece displaying with specific mechanical topology setting Improve .flatproc.log output to maintain step order during parallel computation Various stability improvements and bug fixes HiNc Packages Version 3.1.86 Re-build NcOptProc with stricter optimization logics Add optimization logging features (see 優化日誌): .flatproc.log file output for optimization process analysis Embedded log comments in optimized NC file marking source lines with (src) suffix Fix cutting depth and width accuracy by bounding-box method with workpiece surface Fix collision check error during concurrent changing collidable object Various stability improvements and bug fixes HiNc Packages Version 3.1.84 Optimize memory usage by shrinking map-size of clStripPos Fix design pattern of cutting parameter training module (MillingTraining) Add LoadCuttingParaByFile function to load cutting parameters from file Improve CsvRunner actual time parsing: automatically calculate step duration from actual time when duration is not provided Enhance message handling in RuntimeApi by unifying SessionMessageHost usage Improve optimization performance with better task scheduling Various performance improvements and bug fixes HiNc Packages Version 3.1.75 Add actual time tracking functionality (ActualTime) Various stability improvements and bug fixes HiNc Packages Version 3.1.74 Rename class MillingCutterOptLimit to MillingCutterOptOption Add physics simulation function for relief face collision detection (ReliefFaceCollidingSpeed_mmds, IsReliefFaceCollided) and optimization (EnableLimitByReliefAngle) Add UpdateNcOptOption function to step processing Fix step ordering bug from concurrent processing Fix ClStrip shrinking to zero issue"
+    "summary": "Release Note HiNc Packages Version 3.1.149 Add cubetree geometry defect scanning (ScanRuntimeGeomInfDefect) and clearing (ClearDefectDisplayee) for detecting and visualizing geometry anomalies in workpieces (see 幾何缺陷掃描) Upgrade internal fraction representation to float128 precision for improved cubetree geometry accuracy and numerical stability Refactor messaging system from IMessageHost to standard IProgress<T> pattern; SessionMessageHost now implements IProgress<T>, and all messaging methods renamed from Add* to Report* (e.g., AddProgress → ReportProgress) Fix cubetree initialization crash Add asynchronous anchor solid preparation on project load for improved startup performance HiNc Packages Version 3.1.144 Enhance Siemens Sinumerik support: Siemens CYCLE800 coordinate transform and reset Siemens MCALL CYCLE81() drilling cycle parsing Siemens TRAORI/TRAFOOF/SUPA flag parsing Fix Siemens TRAFOOF plain rotation coordinate transform issue Fix Siemens coordinate transform for successive file running Fix relief face collision floating-point precision issue Replace MongoDB with SQLite for local step data storage (significant package size reduction) Add machining and motion resolution dynamic adjustment functions HiNc Packages Version 3.1.106 Rename mapping API for clearer naming: ReadCsvByTimeInterpolation → MapSingleByCsvFile (one-to-one mapping) MapByActualTime → MapSeriesByCsvFile (one-to-many mapping) Rename CSV column prefix Spindle to Holder for sensor data mapping Unify CSV column tags to MappingUtil for consistent data mapping Fix ChartRange manipulation to be time-based instead of step-based for more accurate time chart display Tune thread priority for machining parallel processing to improve UI responsiveness during simulation Various code cleanup and improvements HiNc Packages Version 3.1.102 Separate resource files (Resource, wwwroot, Doc) to HiNc-Resource nuget package for smaller package size Add ScaledFeedPerCycle function for scaled feed-per-cycle machining motion resolution Upgrade target framework to .NET 10.0 Various code cleanup and improvements HiNc Packages Version 3.1.100 Refactor project architecture: split runtime functions from MachiningProject to LocalProjectService for better separation of concerns Improve MillingTraining module with separate lead and result parameter templates for more accurate cutting parameter training Separate C++ library for code protection Add UTF-8 file path support for runtime geometry IO operations Improve CsvRunner with enhanced time mapping pattern Various architecture improvements and bug fixes HiNc Packages Version 3.1.91 Add NcOptimizationEmbeddedLogMode to control embedded log detail level (None/SimpleLog/FullLog) (see 嵌入式日誌註解). Fix bug of NcOptProc duplicated feedrate assignment HiNc Packages Version 3.1.90 Rename optimization log API EnableIndividualStepAdjustmentLog Fix crash from workpiece displaying with specific mechanical topology setting Improve .flatproc.log output to maintain step order during parallel computation Various stability improvements and bug fixes HiNc Packages Version 3.1.86 Re-build NcOptProc with stricter optimization logics Add optimization logging features (see 優化日誌): .flatproc.log file output for optimization process analysis Embedded log comments in optimized NC file marking source lines with (src) suffix Fix cutting depth and width accuracy by bounding-box method with workpiece surface Fix collision check error during concurrent changing collidable object Various stability improvements and bug fixes HiNc Packages Version 3.1.84 Optimize memory usage by shrinking map-size of clStripPos Fix design pattern of cutting parameter training module (MillingTraining) Add LoadCuttingParaByFile function to load cutting parameters from file Improve CsvRunner actual time parsing: automatically calculate step duration from actual time when duration is not provided Enhance message handling in RuntimeApi by unifying SessionMessageHost usage Improve optimization performance with better task scheduling Various performance improvements and bug fixes HiNc Packages Version 3.1.75 Add actual time tracking functionality (ActualTime) Various stability improvements and bug fixes HiNc Packages Version 3.1.74 Rename class MillingCutterOptLimit to MillingCutterOptOption Add physics simulation function for relief face collision detection (ReliefFaceCollidingSpeed_mmds, IsReliefFaceCollided) and optimization (EnableLimitByReliefAngle) Add UpdateNcOptOption function to step processing Fix step ordering bug from concurrent processing Fix ClStrip shrinking to zero issue"
   },
   "dev-doc/system-requirements.html": {
     "href": "dev-doc/system-requirements.html",
@@ -5794,6 +5799,11 @@
     "title": "移除離料 | HiAPI-C# 2025",
     "summary": "移除離料 在五軸切削過程中可能出現懸浮留料，使用RemoveFlyPiece(API)指令清除。 Note 指令格式 RemoveFlyPiece();"
   },
+  "user-guide/zh-Hant/script/GeomDefect/index.html": {
+    "href": "user-guide/zh-Hant/script/GeomDefect/index.html",
+    "title": "幾何缺陷掃描 | HiAPI-C# 2025",
+    "summary": "幾何缺陷掃描 幾何缺陷掃描用於當工件幾何或刀具幾何異常時，協助使用者進行除錯。一般情況下不需要使用此功能。 Note 在工件幾何初始化時，若偵測到建構缺陷，缺陷標記也會自動顯示於工件上。可使用 ClearDefectDisplayee 清除這些標記。 ScanRuntimeGeomInfDefect ScanRuntimeGeomInfDefect(API) 掃描程序幾何中的無窮邊切缺陷(Inf Edge Cuts)。掃描完成後，缺陷區域會以彩色標記渲染在工件上。 Note 指令格式 ScanRuntimeGeomInfDefect(); 回傳值： true：偵測到缺陷 false：無缺陷 null：無法執行（例如工件不存在） Tip 指令範例 若需在執行NC仿真前檢查幾何缺陷，可搭配 Pause 暫停播放器，目視確認缺陷後再繼續： ScanRuntimeGeomInfDefect(); Pause(); ClearDefectDisplayee(); PlayNcFile(\"NC/file1.nc\"); 相關指令：程序幾何、訊息處理、播放器控制 ClearDefectDisplayee ClearDefectDisplayee(API) 清除工件上的缺陷視覺化標記，包含建構缺陷與掃描缺陷。 Note 指令格式 ClearDefectDisplayee(); Note 當工件重新載入或程序幾何被重設時，缺陷標記會自動清除。"
+  },
   "user-guide/zh-Hant/script/GeomDiff/index.html": {
     "href": "user-guide/zh-Hant/script/GeomDiff/index.html",
     "title": "幾何比對 | HiAPI-C# 2025",
@@ -5892,7 +5902,7 @@
   "user-guide/zh-Hant/script/index.html": {
     "href": "user-guide/zh-Hant/script/index.html",
     "title": "腳本命令 | HiAPI-C# 2025",
-    "summary": "腳本命令 腳本命令是 HiNC 中執行加工仿真的核心功能。腳本使用 C# 語言編寫，可以直接調用 RuntimeApi(API) 的成員屬性和成員函數。 快速開始 如果您是第一次使用腳本功能，建議先閱讀： 文件任務 - 了解腳本的基本語法、執行順序和檔案路徑樣板 執行NC檔案 - 學習如何執行 NC 檔案進行仿真 命令分類 執行與控制 文件任務 - 腳本語法、執行順序、檔案路徑樣板 執行NC檔案 - 執行 NC 檔案進行仿真 執行NC碼字串 - 直接執行 NC 碼字串 執行CSV檔案 - 以 CSV 格式檔案驅動仿真 播放器控制 - 控制播放器的執行速度、暫停和重置 事件與訊息 事件處理 - 在加工過程中執行自訂邏輯 訊息處理 - 顯示和管理訊息 屬性與變數 屬性設定 - 配置加工參數和行為 步階變數 - 處理和存取加工步階的變數 動作與操作 運行時管理 - 管理加工仿真的運行時狀態 動作操作 - 執行特定的加工動作 運行時幾何 - 讀寫程序幾何檔案 離料 - 移除五軸切削過程中的懸浮留料 幾何 解析度 - 設定仿真解析度（實體解析度、顯示解析度、加工運動解析度） 碰撞檢測 - 啟用碰撞檢測功能 幾何差異 - 比對工件目標形狀與仿真後形狀 物理 物理仿真設定 - 配置物理仿真的行為 載入切削參數 - 從檔案載入切削參數到工件 外部資料與模型訓練 映射 - 將外部資料對應於仿真路徑 銑削訓練 - 訓練與校正銑削係數 優化 NC優化 - NC 碼優化設定與輸出 輸出 輸出Shot檔案 - 輸出波形資料檔案 輸出Step檔案 - 輸出步資料檔案 工具設定 刀具與智慧刀把設置 - 設定刀具安裝參數及智慧刀把觀察位置 相關資源 RuntimeApi(API) - 完整的 API 參考文件 模擬步階輸出資訊 - 了解步階輸出的詳細資訊 銑削物理座標系 - 了解座標系定義"
+    "summary": "腳本命令 腳本命令是 HiNC 中執行加工仿真的核心功能。腳本使用 C# 語言編寫，可以直接調用 RuntimeApi(API) 的成員屬性和成員函數。 快速開始 如果您是第一次使用腳本功能，建議先閱讀： 文件任務 - 了解腳本的基本語法、執行順序和檔案路徑樣板 執行NC檔案 - 學習如何執行 NC 檔案進行仿真 命令分類 執行與控制 文件任務 - 腳本語法、執行順序、檔案路徑樣板 執行NC檔案 - 執行 NC 檔案進行仿真 執行NC碼字串 - 直接執行 NC 碼字串 執行CSV檔案 - 以 CSV 格式檔案驅動仿真 播放器控制 - 控制播放器的執行速度、暫停和重置 事件與訊息 事件處理 - 在加工過程中執行自訂邏輯 訊息處理 - 顯示和管理訊息 屬性與變數 屬性設定 - 配置加工參數和行為 步階變數 - 處理和存取加工步階的變數 動作與操作 運行時管理 - 管理加工仿真的運行時狀態 動作操作 - 執行特定的加工動作 運行時幾何 - 讀寫程序幾何檔案 離料 - 移除五軸切削過程中的懸浮留料 幾何 解析度 - 設定仿真解析度（實體解析度、顯示解析度、加工運動解析度） 碰撞檢測 - 啟用碰撞檢測功能 幾何差異 - 比對工件目標形狀與仿真後形狀 幾何缺陷掃描 - 掃描並視覺化程序幾何的異常區域 物理 物理仿真設定 - 配置物理仿真的行為 載入切削參數 - 從檔案載入切削參數到工件 外部資料與模型訓練 映射 - 將外部資料對應於仿真路徑 銑削訓練 - 訓練與校正銑削係數 優化 NC優化 - NC 碼優化設定與輸出 輸出 輸出Shot檔案 - 輸出波形資料檔案 輸出Step檔案 - 輸出步資料檔案 工具設定 刀具與智慧刀把設置 - 設定刀具安裝參數及智慧刀把觀察位置 相關資源 RuntimeApi(API) - 完整的 API 參考文件 模擬步階輸出資訊 - 了解步階輸出的詳細資訊 銑削物理座標系 - 了解座標系定義"
   },
   "user-guide/zh-Hant/startup/delegate-auth.html": {
     "href": "user-guide/zh-Hant/startup/delegate-auth.html",
diff --git a/App/wwwroot/HiAPI-docsite/manifest.json b/App/wwwroot/HiAPI-docsite/manifest.json
index 20015d5..e57dc84 100644
--- a/App/wwwroot/HiAPI-docsite/manifest.json
+++ b/App/wwwroot/HiAPI-docsite/manifest.json
@@ -3858,7 +3858,7 @@
       "Uid": null,
       "IsMRef": true,
       "Title": "Hi.Geom.FractionStatus",
-      "Summary": "<p sourcefile=\"api/Hi.Geom.FractionStatus.yml\" sourcestartlinenumber=\"1\">Status flags for Fraction and <xref href=\"Hi.Geom.NativeFraction\" data-throw-if-not-resolved=\"false\"></xref>.\nCorresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t.</p>\n"
+      "Summary": "<p sourcefile=\"api/Hi.Geom.FractionStatus.yml\" sourcestartlinenumber=\"1\">Status flags for Fraction`1 and <xref href=\"Hi.Geom.NativeFraction\" data-throw-if-not-resolved=\"false\"></xref>.\nCorresponds to IS_PACKED_MASK and IS_EVALUATED_MASK in C++ fraction_base_t.</p>\n"
     },
     {
       "type": "ManagedReference",
@@ -6534,6 +6534,20 @@
       "Title": "Hi.Mech.Topo.IDynamicRegular",
       "Summary": "<p sourcefile=\"api/Hi.Mech.Topo.IDynamicRegular.yml\" sourcestartlinenumber=\"1\">Dynamic Regular Transformer</p>\n"
     },
+    {
+      "type": "ManagedReference",
+      "source_relative_path": "api/Hi.Mech.Topo.IDynamicRotation.yml",
+      "output": {
+        ".html": {
+          "relative_path": "api/Hi.Mech.Topo.IDynamicRotation.html"
+        }
+      },
+      "version": "",
+      "Uid": null,
+      "IsMRef": true,
+      "Title": "Hi.Mech.Topo.IDynamicRotation",
+      "Summary": null
+    },
     {
       "type": "ManagedReference",
       "source_relative_path": "api/Hi.Mech.Topo.IDynamicTransformer.yml",
@@ -16218,6 +16232,16 @@
       },
       "version": ""
     },
+    {
+      "type": "Conceptual",
+      "source_relative_path": "user-guide/zh-Hant/script/GeomDefect/index.md",
+      "output": {
+        ".html": {
+          "relative_path": "user-guide/zh-Hant/script/GeomDefect/index.html"
+        }
+      },
+      "version": ""
+    },
     {
       "type": "Resource",
       "source_relative_path": "user-guide/zh-Hant/script/GeomDiff/img/diff_resolution_0p02.png",
diff --git a/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/script/GeomDefect/index.html b/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/script/GeomDefect/index.html
new file mode 100644
index 0000000..8360a39
--- /dev/null
+++ b/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/script/GeomDefect/index.html
@@ -0,0 +1,157 @@
+<!DOCTYPE html>
+<html>
+  <head>
+    <meta charset="utf-8">
+      <title>幾何缺陷掃描 | HiAPI-C# 2025 </title>
+      <meta name="viewport" content="width=device-width, initial-scale=1.0">
+      <meta name="title" content="幾何缺陷掃描 | HiAPI-C# 2025 ">
+      
+      
+      <link rel="icon" href="../../../../img/HiAPI.favicon.ico">
+      <link rel="stylesheet" href="../../../../public/docfx.min.css">
+      <link rel="stylesheet" href="../../../../public/main.css">
+      <meta name="docfx:navrel" content="../../../../toc.html">
+      <meta name="docfx:tocrel" content="../../toc.html">
+      
+      <meta name="docfx:rel" content="../../../../">
+      
+      
+      
+      <meta name="loc:inThisArticle" content="In this article">
+      <meta name="loc:searchResultsCount" content="{count} results for &quot;{query}&quot;">
+      <meta name="loc:searchNoResults" content="No results for &quot;{query}&quot;">
+      <meta name="loc:tocFilter" content="Filter by title">
+      <meta name="loc:nextArticle" content="Next">
+      <meta name="loc:prevArticle" content="Previous">
+      <meta name="loc:themeLight" content="Light">
+      <meta name="loc:themeDark" content="Dark">
+      <meta name="loc:themeAuto" content="Auto">
+      <meta name="loc:changeTheme" content="Change theme">
+      <meta name="loc:copy" content="Copy">
+      <meta name="loc:downloadPdf" content="Download PDF">
+
+      <script type="module" src="./../../../../public/docfx.min.js"></script>
+
+      <script>
+        const theme = localStorage.getItem('theme') || 'auto'
+        document.documentElement.setAttribute('data-bs-theme', theme === 'auto' ? (window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light') : theme)
+      </script>
+
+  </head>
+
+  <body class="tex2jax_ignore" data-layout="" data-yaml-mime="">
+    <header class="bg-body border-bottom">
+      <nav id="autocollapse" class="navbar navbar-expand-md" role="navigation">
+        <div class="container-xxl flex-nowrap">
+          <a class="navbar-brand" href="../../../../index.html">
+            <img id="logo" class="svg" src="../../../../img/HiAPI.logo.png" alt="">
+            
+          </a>
+          <button class="btn btn-lg d-md-none border-0" type="button" data-bs-toggle="collapse" data-bs-target="#navpanel" aria-controls="navpanel" aria-expanded="false" aria-label="Toggle navigation">
+            <i class="bi bi-three-dots"></i>
+          </button>
+          <div class="collapse navbar-collapse" id="navpanel">
+            <div id="navbar">
+              <form class="search" role="search" id="search">
+                <i class="bi bi-search"></i>
+                <input class="form-control" id="search-query" type="search" disabled placeholder="Search" autocomplete="off" aria-label="Search">
+              </form>
+            </div>
+          </div>
+        </div>
+      </nav>
+    </header>
+
+    <main class="container-xxl">
+      <div class="toc-offcanvas">
+        <div class="offcanvas-md offcanvas-start" tabindex="-1" id="tocOffcanvas" aria-labelledby="tocOffcanvasLabel">
+          <div class="offcanvas-header">
+            <h5 class="offcanvas-title" id="tocOffcanvasLabel">Table of Contents</h5>
+            <button type="button" class="btn-close" data-bs-dismiss="offcanvas" data-bs-target="#tocOffcanvas" aria-label="Close"></button>
+          </div>
+          <div class="offcanvas-body">
+            <nav class="toc" id="toc"></nav>
+          </div>
+        </div>
+      </div>
+
+      <div class="content">
+        <div class="actionbar">
+          <button class="btn btn-lg border-0 d-md-none" type="button" data-bs-toggle="offcanvas" data-bs-target="#tocOffcanvas" aria-controls="tocOffcanvas" aria-expanded="false" aria-label="Show table of contents">
+            <i class="bi bi-list"></i>
+          </button>
+
+          <nav id="breadcrumb"></nav>
+        </div>
+
+        <article data-uid="Cmd-GeomDefect">
+          <h1 id="幾何缺陷掃描">幾何缺陷掃描</h1>
+
+<p>幾何缺陷掃描用於當工件幾何或刀具幾何異常時，協助使用者進行除錯。一般情況下不需要使用此功能。</p>
+<div class="NOTE">
+<h5>Note</h5>
+<p>在工件幾何初始化時，若偵測到建構缺陷，缺陷標記也會自動顯示於工件上。可使用 <a class="xref" href="../../../../api/Hi.MachiningProcs.RuntimeApi.html#Hi_MachiningProcs_RuntimeApi_ClearDefectDisplayee_">ClearDefectDisplayee</a> 清除這些標記。</p>
+</div>
+<h2 id="scanruntimegeominfdefect">ScanRuntimeGeomInfDefect</h2>
+<p><a class="xref" href="../../../../api/Hi.MachiningProcs.RuntimeApi.html#Hi_MachiningProcs_RuntimeApi_ScanRuntimeGeomInfDefect_">ScanRuntimeGeomInfDefect</a><small>(API)</small> 掃描程序幾何中的無窮邊切缺陷(Inf Edge Cuts)。掃描完成後，缺陷區域會以彩色標記渲染在工件上。</p>
+<div class="NOTE">
+<h5>Note</h5>
+<p><strong>指令格式</strong></p>
+<pre><code class="lang-csharp">ScanRuntimeGeomInfDefect();
+</code></pre>
+<p>回傳值：</p>
+<ul>
+<li><code>true</code>：偵測到缺陷</li>
+<li><code>false</code>：無缺陷</li>
+<li><code>null</code>：無法執行（例如工件不存在）</li>
+</ul>
+</div>
+<div class="TIP">
+<h5>Tip</h5>
+<p><strong>指令範例</strong></p>
+<p>若需在執行NC仿真前檢查幾何缺陷，可搭配 <a class="xref" href="../../../../api/Hi.MachiningProcs.RuntimeApi.html#Hi_MachiningProcs_RuntimeApi_Pause_">Pause</a> 暫停播放器，目視確認缺陷後再繼續：</p>
+<pre><code class="lang-csharp">ScanRuntimeGeomInfDefect();
+Pause();
+ClearDefectDisplayee();
+PlayNcFile(&quot;NC/file1.nc&quot;);
+</code></pre>
+<p>相關指令：<a class="xref" href="../RuntimeGeom/index.html">程序幾何</a>、<a class="xref" href="../Messages/index.html">訊息處理</a>、<a class="xref" href="../PlayerControl/index.html">播放器控制</a></p>
+</div>
+<h2 id="cleardefectdisplayee">ClearDefectDisplayee</h2>
+<p><a class="xref" href="../../../../api/Hi.MachiningProcs.RuntimeApi.html#Hi_MachiningProcs_RuntimeApi_ClearDefectDisplayee_">ClearDefectDisplayee</a><small>(API)</small> 清除工件上的缺陷視覺化標記，包含建構缺陷與掃描缺陷。</p>
+<div class="NOTE">
+<h5>Note</h5>
+<p><strong>指令格式</strong></p>
+<pre><code class="lang-csharp">ClearDefectDisplayee();
+</code></pre>
+</div>
+<div class="NOTE">
+<h5>Note</h5>
+<p>當工件重新載入或程序幾何被重設時，缺陷標記會自動清除。</p>
+</div>
+
+</article>
+
+        <div class="contribution d-print-none">
+        </div>
+
+        <div class="next-article d-print-none border-top" id="nextArticle"></div>
+
+      </div>
+
+      <div class="affix">
+        <nav id="affix"></nav>
+      </div>
+    </main>
+
+    <div class="container-xxl search-results" id="search-results"></div>
+
+    <footer class="border-top text-secondary">
+      <div class="container-xxl">
+        <div class="flex-fill">
+          <span> Copyright © 2025 <a href='https://superhightech.com.tw'>Tech Coordinate</a>. All rights reserved. <a href='https://superhightech.com.tw'>超級高科技股份有限公司</a> © 2025 版權所有 </span>
+        </div>
+      </div>
+    </footer>
+  </body>
+</html>
diff --git a/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/script/index.html b/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/script/index.html
index b61a043..fc33d7e 100644
--- a/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/script/index.html
+++ b/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/script/index.html
@@ -125,6 +125,7 @@
 <li><strong><a href="Resolution/index.html">解析度</a></strong> - 設定仿真解析度（實體解析度、顯示解析度、加工運動解析度）</li>
 <li><strong><a href="Collision/index.html">碰撞檢測</a></strong> - 啟用碰撞檢測功能</li>
 <li><strong><a href="GeomDiff/index.html">幾何差異</a></strong> - 比對工件目標形狀與仿真後形狀</li>
+<li><strong><a href="GeomDefect/index.html">幾何缺陷掃描</a></strong> - 掃描並視覺化程序幾何的異常區域</li>
 </ul>
 <h3 id="物理">物理</h3>
 <ul>
diff --git a/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/toc.html b/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/toc.html
index 814fdf5..473c6e6 100644
--- a/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/toc.html
+++ b/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/toc.html
@@ -145,6 +145,9 @@
                           <li>
                               <a href="script/GeomDiff/index.html" name="" title="幾何差異">幾何差異</a>
                           </li>
+                          <li>
+                              <a href="script/GeomDefect/index.html" name="" title="幾何缺陷掃描">幾何缺陷掃描</a>
+                          </li>
                           <li>
                               <a href="script/Mapping/index.html" name="" title="映射">映射</a>
                           </li>
diff --git a/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/toc.json b/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/toc.json
index bce8de3..6267626 100644
--- a/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/toc.json
+++ b/App/wwwroot/HiAPI-docsite/user-guide/zh-Hant/toc.json
@@ -1,2 +1,2 @@
 
-{"items":[{"name":"HiNC 使用說明","href":"index.html","topicHref":"index.html"},{"name":"使用者條款","href":"license/index.html","topicHref":"license/index.html"},{"name":"HiNC啟用","items":[{"name":"Windows系統啟用","href":"startup/windows.html","topicHref":"startup/windows.html"},{"name":"單機多站配置","href":"startup/multi-station.html","topicHref":"startup/multi-station.html"},{"name":"多主機授權設置","href":"startup/delegate-auth.html","topicHref":"startup/delegate-auth.html"},{"name":"教學視頻","href":"startup/tutorial.html","topicHref":"startup/tutorial.html"}]},{"name":"系統","items":[{"name":"檔案總管","href":"system/file-explorer.html","topicHref":"system/file-explorer.html"}]},{"name":"設備","items":[{"name":"錨點","href":"mech/anchor.html","topicHref":"mech/anchor.html"},{"name":"工具機建置","href":"equipment/build-machine-tool.html","topicHref":"equipment/build-machine-tool.html"},{"name":"冷卻液","href":"equipment/coolant.html","topicHref":"equipment/coolant.html"}]},{"name":"控制器","items":[{"name":"海德漢支援","href":"controllers/heidenhain-support.html","topicHref":"controllers/heidenhain-support.html"},{"name":"通用NC碼支援","href":"controllers/iso-nc-support.html","topicHref":"controllers/iso-nc-support.html"}]},{"name":"加工工具","items":[{"name":"銑刀","href":"milling-tool/cutter.html","topicHref":"milling-tool/cutter.html"},{"name":"APT工具","href":"milling-tool/apt.html","topicHref":"milling-tool/apt.html"},{"name":"刀片式刃雕","href":"milling-tool/insert-cutter/index.html","topicHref":"milling-tool/insert-cutter/index.html"},{"name":"徑向角度量測","href":"milling-tool/radial-angle-measurement.html","topicHref":"milling-tool/radial-angle-measurement.html"},{"name":"智慧刀把","href":"milling-tool/smart-tool-holder.html","topicHref":"milling-tool/smart-tool-holder.html"}]},{"name":"腳本命令","href":"script/index.html","topicHref":"script/index.html","items":[{"name":"文件任務","href":"script/Doc-Task/index.html","topicHref":"script/Doc-Task/index.html"},{"name":"執行NC檔案","href":"script/PlayNcFile/index.html","topicHref":"script/PlayNcFile/index.html"},{"name":"執行NC碼字串","href":"script/PlayNc/index.html","topicHref":"script/PlayNc/index.html"},{"name":"執行CSV檔案","href":"script/PlayCsvFile/play-csv-file.html","topicHref":"script/PlayCsvFile/play-csv-file.html"},{"name":"播放器控制","href":"script/PlayerControl/index.html","topicHref":"script/PlayerControl/index.html"},{"name":"事件處理","href":"script/Events/index.html","topicHref":"script/Events/index.html"},{"name":"屬性設定","href":"script/Properties/index.html","topicHref":"script/Properties/index.html"},{"name":"動作操作","href":"script/ActOperations/index.html","topicHref":"script/ActOperations/index.html"},{"name":"加工步變數","href":"script/StepVariables/index.html","topicHref":"script/StepVariables/index.html"},{"name":"訊息處理","href":"script/Messages/index.html","topicHref":"script/Messages/index.html"},{"name":"運行時管理","href":"script/RuntimeManagement/index.html","topicHref":"script/RuntimeManagement/index.html"},{"name":"碰撞檢測","href":"script/Collision/index.html","topicHref":"script/Collision/index.html"},{"name":"離料","href":"script/FlyPiece/index.html","topicHref":"script/FlyPiece/index.html"},{"name":"幾何差異","href":"script/GeomDiff/index.html","topicHref":"script/GeomDiff/index.html"},{"name":"映射","href":"script/Mapping/index.html","topicHref":"script/Mapping/index.html"},{"name":"銑削訓練","href":"script/MillingTraining/index.html","topicHref":"script/MillingTraining/index.html"},{"name":"載入切削參數","href":"script/LoadCuttingPara/index.html","topicHref":"script/LoadCuttingPara/index.html"},{"name":"物理仿真設定","href":"script/Physics/index.html","topicHref":"script/Physics/index.html"},{"name":"NC優化","href":"script/NcOptimization/index.html","topicHref":"script/NcOptimization/index.html"},{"name":"解析度","href":"script/Resolution/index.html","topicHref":"script/Resolution/index.html"},{"name":"運行時幾何","href":"script/RuntimeGeom/index.html","topicHref":"script/RuntimeGeom/index.html"},{"name":"輸出Shot檔案","href":"script/WriteShotFiles/index.html","topicHref":"script/WriteShotFiles/index.html"},{"name":"輸出Step檔案","href":"script/WriteStepFiles/index.html","topicHref":"script/WriteStepFiles/index.html"},{"name":"刀具與智慧刀把設置","href":"script/ToolSetup/index.html","topicHref":"script/ToolSetup/index.html"}]},{"name":"仿真步","href":"concepts/step.html","topicHref":"concepts/step.html"},{"name":"輸出","items":[{"name":"模擬步階輸出資訊","href":"output/simulation-step-output.html","topicHref":"output/simulation-step-output.html"}]},{"name":"優化","items":[{"name":"NC優化","href":"optimization/index.html","topicHref":"optimization/index.html"}]},{"name":"範例","href":"examples/index.html","topicHref":"examples/index.html","items":[{"name":"動力計訓練銑削係數","href":"examples/milling-training-dynamometer/index.html","topicHref":"examples/milling-training-dynamometer/index.html"},{"name":"串聯控制器資料及感測器資料","href":"examples/mapping-demo/index.html","topicHref":"examples/mapping-demo/index.html"}]},{"name":"理論與技術","items":[{"name":"銑削物理座標系","href":"theory-and-technique/milling-physics-coordinates.html","topicHref":"theory-and-technique/milling-physics-coordinates.html"},{"name":"評估製程可加工性","href":"availability/index.html","topicHref":"availability/index.html"},{"name":"刀具壽命與磨耗","href":"technique/wear.html","topicHref":"technique/wear.html"},{"name":"第一離隙角避讓","href":"technique/relief-face-avoidance/index.html","topicHref":"technique/relief-face-avoidance/index.html"},{"name":"仿真CPU使用率","href":"theory-and-technique/cpu-usage/index.html","topicHref":"theory-and-technique/cpu-usage/index.html"},{"name":"轉角進給率優化","href":"theory-and-technique/corner-behavior/index.html","topicHref":"theory-and-technique/corner-behavior/index.html"}]}]}
+{"items":[{"name":"HiNC 使用說明","href":"index.html","topicHref":"index.html"},{"name":"使用者條款","href":"license/index.html","topicHref":"license/index.html"},{"name":"HiNC啟用","items":[{"name":"Windows系統啟用","href":"startup/windows.html","topicHref":"startup/windows.html"},{"name":"單機多站配置","href":"startup/multi-station.html","topicHref":"startup/multi-station.html"},{"name":"多主機授權設置","href":"startup/delegate-auth.html","topicHref":"startup/delegate-auth.html"},{"name":"教學視頻","href":"startup/tutorial.html","topicHref":"startup/tutorial.html"}]},{"name":"系統","items":[{"name":"檔案總管","href":"system/file-explorer.html","topicHref":"system/file-explorer.html"}]},{"name":"設備","items":[{"name":"錨點","href":"mech/anchor.html","topicHref":"mech/anchor.html"},{"name":"工具機建置","href":"equipment/build-machine-tool.html","topicHref":"equipment/build-machine-tool.html"},{"name":"冷卻液","href":"equipment/coolant.html","topicHref":"equipment/coolant.html"}]},{"name":"控制器","items":[{"name":"海德漢支援","href":"controllers/heidenhain-support.html","topicHref":"controllers/heidenhain-support.html"},{"name":"通用NC碼支援","href":"controllers/iso-nc-support.html","topicHref":"controllers/iso-nc-support.html"}]},{"name":"加工工具","items":[{"name":"銑刀","href":"milling-tool/cutter.html","topicHref":"milling-tool/cutter.html"},{"name":"APT工具","href":"milling-tool/apt.html","topicHref":"milling-tool/apt.html"},{"name":"刀片式刃雕","href":"milling-tool/insert-cutter/index.html","topicHref":"milling-tool/insert-cutter/index.html"},{"name":"徑向角度量測","href":"milling-tool/radial-angle-measurement.html","topicHref":"milling-tool/radial-angle-measurement.html"},{"name":"智慧刀把","href":"milling-tool/smart-tool-holder.html","topicHref":"milling-tool/smart-tool-holder.html"}]},{"name":"腳本命令","href":"script/index.html","topicHref":"script/index.html","items":[{"name":"文件任務","href":"script/Doc-Task/index.html","topicHref":"script/Doc-Task/index.html"},{"name":"執行NC檔案","href":"script/PlayNcFile/index.html","topicHref":"script/PlayNcFile/index.html"},{"name":"執行NC碼字串","href":"script/PlayNc/index.html","topicHref":"script/PlayNc/index.html"},{"name":"執行CSV檔案","href":"script/PlayCsvFile/play-csv-file.html","topicHref":"script/PlayCsvFile/play-csv-file.html"},{"name":"播放器控制","href":"script/PlayerControl/index.html","topicHref":"script/PlayerControl/index.html"},{"name":"事件處理","href":"script/Events/index.html","topicHref":"script/Events/index.html"},{"name":"屬性設定","href":"script/Properties/index.html","topicHref":"script/Properties/index.html"},{"name":"動作操作","href":"script/ActOperations/index.html","topicHref":"script/ActOperations/index.html"},{"name":"加工步變數","href":"script/StepVariables/index.html","topicHref":"script/StepVariables/index.html"},{"name":"訊息處理","href":"script/Messages/index.html","topicHref":"script/Messages/index.html"},{"name":"運行時管理","href":"script/RuntimeManagement/index.html","topicHref":"script/RuntimeManagement/index.html"},{"name":"碰撞檢測","href":"script/Collision/index.html","topicHref":"script/Collision/index.html"},{"name":"離料","href":"script/FlyPiece/index.html","topicHref":"script/FlyPiece/index.html"},{"name":"幾何差異","href":"script/GeomDiff/index.html","topicHref":"script/GeomDiff/index.html"},{"name":"幾何缺陷掃描","href":"script/GeomDefect/index.html","topicHref":"script/GeomDefect/index.html"},{"name":"映射","href":"script/Mapping/index.html","topicHref":"script/Mapping/index.html"},{"name":"銑削訓練","href":"script/MillingTraining/index.html","topicHref":"script/MillingTraining/index.html"},{"name":"載入切削參數","href":"script/LoadCuttingPara/index.html","topicHref":"script/LoadCuttingPara/index.html"},{"name":"物理仿真設定","href":"script/Physics/index.html","topicHref":"script/Physics/index.html"},{"name":"NC優化","href":"script/NcOptimization/index.html","topicHref":"script/NcOptimization/index.html"},{"name":"解析度","href":"script/Resolution/index.html","topicHref":"script/Resolution/index.html"},{"name":"運行時幾何","href":"script/RuntimeGeom/index.html","topicHref":"script/RuntimeGeom/index.html"},{"name":"輸出Shot檔案","href":"script/WriteShotFiles/index.html","topicHref":"script/WriteShotFiles/index.html"},{"name":"輸出Step檔案","href":"script/WriteStepFiles/index.html","topicHref":"script/WriteStepFiles/index.html"},{"name":"刀具與智慧刀把設置","href":"script/ToolSetup/index.html","topicHref":"script/ToolSetup/index.html"}]},{"name":"仿真步","href":"concepts/step.html","topicHref":"concepts/step.html"},{"name":"輸出","items":[{"name":"模擬步階輸出資訊","href":"output/simulation-step-output.html","topicHref":"output/simulation-step-output.html"}]},{"name":"優化","items":[{"name":"NC優化","href":"optimization/index.html","topicHref":"optimization/index.html"}]},{"name":"範例","href":"examples/index.html","topicHref":"examples/index.html","items":[{"name":"動力計訓練銑削係數","href":"examples/milling-training-dynamometer/index.html","topicHref":"examples/milling-training-dynamometer/index.html"},{"name":"串聯控制器資料及感測器資料","href":"examples/mapping-demo/index.html","topicHref":"examples/mapping-demo/index.html"}]},{"name":"理論與技術","items":[{"name":"銑削物理座標系","href":"theory-and-technique/milling-physics-coordinates.html","topicHref":"theory-and-technique/milling-physics-coordinates.html"},{"name":"評估製程可加工性","href":"availability/index.html","topicHref":"availability/index.html"},{"name":"刀具壽命與磨耗","href":"technique/wear.html","topicHref":"technique/wear.html"},{"name":"第一離隙角避讓","href":"technique/relief-face-avoidance/index.html","topicHref":"technique/relief-face-avoidance/index.html"},{"name":"仿真CPU使用率","href":"theory-and-technique/cpu-usage/index.html","topicHref":"theory-and-technique/cpu-usage/index.html"},{"name":"轉角進給率優化","href":"theory-and-technique/corner-behavior/index.html","topicHref":"theory-and-technique/corner-behavior/index.html"}]}]}
diff --git a/App/wwwroot/HiAPI-docsite/xrefmap.yml b/App/wwwroot/HiAPI-docsite/xrefmap.yml
index c0e681e..ed5191a 100644
--- a/App/wwwroot/HiAPI-docsite/xrefmap.yml
+++ b/App/wwwroot/HiAPI-docsite/xrefmap.yml
@@ -10,6 +10,9 @@ references:
 - uid: Cmd-Events
   name: 事件處理
   href: user-guide/zh-Hant/script/Events/index.html
+- uid: Cmd-GeomDefect
+  name: 幾何缺陷掃描
+  href: user-guide/zh-Hant/script/GeomDefect/index.html
 - uid: Cmd-GeomDiff
   name: 幾何比對
   href: user-guide/zh-Hant/script/GeomDiff/index.html
@@ -65196,19 +65199,19 @@ references:
   isSpec: "True"
   fullName: Hi.Geom.Mat4d.NoTransMat
   nameWithType: Mat4d.NoTransMat
-- uid: Hi.Geom.Mat4d.Pn
-  name: Pn
-  href: api/Hi.Geom.Mat4d.html#Hi_Geom_Mat4d_Pn
-  commentId: P:Hi.Geom.Mat4d.Pn
-  fullName: Hi.Geom.Mat4d.Pn
-  nameWithType: Mat4d.Pn
-- uid: Hi.Geom.Mat4d.Pn*
-  name: Pn
-  href: api/Hi.Geom.Mat4d.html#Hi_Geom_Mat4d_Pn_
-  commentId: Overload:Hi.Geom.Mat4d.Pn
+- uid: Hi.Geom.Mat4d.Np
+  name: Np
+  href: api/Hi.Geom.Mat4d.html#Hi_Geom_Mat4d_Np
+  commentId: P:Hi.Geom.Mat4d.Np
+  fullName: Hi.Geom.Mat4d.Np
+  nameWithType: Mat4d.Np
+- uid: Hi.Geom.Mat4d.Np*
+  name: Np
+  href: api/Hi.Geom.Mat4d.html#Hi_Geom_Mat4d_Np_
+  commentId: Overload:Hi.Geom.Mat4d.Np
   isSpec: "True"
-  fullName: Hi.Geom.Mat4d.Pn
-  nameWithType: Mat4d.Pn
+  fullName: Hi.Geom.Mat4d.Np
+  nameWithType: Mat4d.Np
 - uid: Hi.Geom.Mat4d.ReadBin(System.IO.BinaryReader)
   name: ReadBin(BinaryReader)
   href: api/Hi.Geom.Mat4d.html#Hi_Geom_Mat4d_ReadBin_System_IO_BinaryReader_
@@ -70312,22 +70315,6 @@ references:
   isSpec: "True"
   fullName: Hi.Geom.Solvers.SolverUtil.GetParasCompensation
   nameWithType: SolverUtil.GetParasCompensation
-- uid: Hi.Geom.Solvers.SolverUtil.GetParasCompensations(System.Func{System.Double[],System.Double[]},System.Double[],System.Double[],System.Int32,System.Double[],System.Double[0:,0:]@)
-  name: GetParasCompensations(Func<double[], double[]>, double[], double[], int, double[], out double[,])
-  href: api/Hi.Geom.Solvers.SolverUtil.html#Hi_Geom_Solvers_SolverUtil_GetParasCompensations_System_Func_System_Double___System_Double____System_Double___System_Double___System_Int32_System_Double___System_Double_0__0____
-  commentId: M:Hi.Geom.Solvers.SolverUtil.GetParasCompensations(System.Func{System.Double[],System.Double[]},System.Double[],System.Double[],System.Int32,System.Double[],System.Double[0:,0:]@)
-  name.vb: GetParasCompensations(Func(Of Double(), Double()), Double(), Double(), Integer, Double(), Double(,))
-  fullName: Hi.Geom.Solvers.SolverUtil.GetParasCompensations(System.Func<double[], double[]>, double[], double[], int, double[], out double[,])
-  fullName.vb: Hi.Geom.Solvers.SolverUtil.GetParasCompensations(System.Func(Of Double(), Double()), Double(), Double(), Integer, Double(), Double(,))
-  nameWithType: SolverUtil.GetParasCompensations(Func<double[], double[]>, double[], double[], int, double[], out double[,])
-  nameWithType.vb: SolverUtil.GetParasCompensations(Func(Of Double(), Double()), Double(), Double(), Integer, Double(), Double(,))
-- uid: Hi.Geom.Solvers.SolverUtil.GetParasCompensations*
-  name: GetParasCompensations
-  href: api/Hi.Geom.Solvers.SolverUtil.html#Hi_Geom_Solvers_SolverUtil_GetParasCompensations_
-  commentId: Overload:Hi.Geom.Solvers.SolverUtil.GetParasCompensations
-  isSpec: "True"
-  fullName: Hi.Geom.Solvers.SolverUtil.GetParasCompensations
-  nameWithType: SolverUtil.GetParasCompensations
 - uid: Hi.Geom.Solvers.SolverUtil.LinearSlowIterationFunc
   name: LinearSlowIterationFunc
   href: api/Hi.Geom.Solvers.SolverUtil.html#Hi_Geom_Solvers_SolverUtil_LinearSlowIterationFunc
@@ -93979,6 +93966,64 @@ references:
   isSpec: "True"
   fullName: Hi.Mech.Topo.IDynamicRegular.Step
   nameWithType: IDynamicRegular.Step
+- uid: Hi.Mech.Topo.IDynamicRotation
+  name: IDynamicRotation
+  href: api/Hi.Mech.Topo.IDynamicRotation.html
+  commentId: T:Hi.Mech.Topo.IDynamicRotation
+  fullName: Hi.Mech.Topo.IDynamicRotation
+  nameWithType: IDynamicRotation
+- uid: Hi.Mech.Topo.IDynamicRotation.Angle_deg
+  name: Angle_deg
+  href: api/Hi.Mech.Topo.IDynamicRotation.html#Hi_Mech_Topo_IDynamicRotation_Angle_deg
+  commentId: P:Hi.Mech.Topo.IDynamicRotation.Angle_deg
+  fullName: Hi.Mech.Topo.IDynamicRotation.Angle_deg
+  nameWithType: IDynamicRotation.Angle_deg
+- uid: Hi.Mech.Topo.IDynamicRotation.Angle_deg*
+  name: Angle_deg
+  href: api/Hi.Mech.Topo.IDynamicRotation.html#Hi_Mech_Topo_IDynamicRotation_Angle_deg_
+  commentId: Overload:Hi.Mech.Topo.IDynamicRotation.Angle_deg
+  isSpec: "True"
+  fullName: Hi.Mech.Topo.IDynamicRotation.Angle_deg
+  nameWithType: IDynamicRotation.Angle_deg
+- uid: Hi.Mech.Topo.IDynamicRotation.Angle_rad
+  name: Angle_rad
+  href: api/Hi.Mech.Topo.IDynamicRotation.html#Hi_Mech_Topo_IDynamicRotation_Angle_rad
+  commentId: P:Hi.Mech.Topo.IDynamicRotation.Angle_rad
+  fullName: Hi.Mech.Topo.IDynamicRotation.Angle_rad
+  nameWithType: IDynamicRotation.Angle_rad
+- uid: Hi.Mech.Topo.IDynamicRotation.Angle_rad*
+  name: Angle_rad
+  href: api/Hi.Mech.Topo.IDynamicRotation.html#Hi_Mech_Topo_IDynamicRotation_Angle_rad_
+  commentId: Overload:Hi.Mech.Topo.IDynamicRotation.Angle_rad
+  isSpec: "True"
+  fullName: Hi.Mech.Topo.IDynamicRotation.Angle_rad
+  nameWithType: IDynamicRotation.Angle_rad
+- uid: Hi.Mech.Topo.IDynamicRotation.Axis
+  name: Axis
+  href: api/Hi.Mech.Topo.IDynamicRotation.html#Hi_Mech_Topo_IDynamicRotation_Axis
+  commentId: P:Hi.Mech.Topo.IDynamicRotation.Axis
+  fullName: Hi.Mech.Topo.IDynamicRotation.Axis
+  nameWithType: IDynamicRotation.Axis
+- uid: Hi.Mech.Topo.IDynamicRotation.Axis*
+  name: Axis
+  href: api/Hi.Mech.Topo.IDynamicRotation.html#Hi_Mech_Topo_IDynamicRotation_Axis_
+  commentId: Overload:Hi.Mech.Topo.IDynamicRotation.Axis
+  isSpec: "True"
+  fullName: Hi.Mech.Topo.IDynamicRotation.Axis
+  nameWithType: IDynamicRotation.Axis
+- uid: Hi.Mech.Topo.IDynamicRotation.Pivot
+  name: Pivot
+  href: api/Hi.Mech.Topo.IDynamicRotation.html#Hi_Mech_Topo_IDynamicRotation_Pivot
+  commentId: P:Hi.Mech.Topo.IDynamicRotation.Pivot
+  fullName: Hi.Mech.Topo.IDynamicRotation.Pivot
+  nameWithType: IDynamicRotation.Pivot
+- uid: Hi.Mech.Topo.IDynamicRotation.Pivot*
+  name: Pivot
+  href: api/Hi.Mech.Topo.IDynamicRotation.html#Hi_Mech_Topo_IDynamicRotation_Pivot_
+  commentId: Overload:Hi.Mech.Topo.IDynamicRotation.Pivot
+  isSpec: "True"
+  fullName: Hi.Mech.Topo.IDynamicRotation.Pivot
+  nameWithType: IDynamicRotation.Pivot
 - uid: Hi.Mech.Topo.IDynamicTransformer
   name: IDynamicTransformer
   href: api/Hi.Mech.Topo.IDynamicTransformer.html
@@ -119649,15 +119694,15 @@ references:
   isSpec: "True"
   fullName: Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.CoordinateConverter
   nameWithType: ActLinearClAndLinearMcAbcMcXyzabcContour.CoordinateConverter
-- uid: Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  href: api/Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.html#Hi_Numerical_Acts_ActLinearClAndLinearMcAbcMcXyzabcContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_
-  commentId: M:Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
-  fullName: Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double)
-  fullName.vb: Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double)
-  nameWithType: ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  nameWithType.vb: ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
+- uid: Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  href: api/Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.html#Hi_Numerical_Acts_ActLinearClAndLinearMcAbcMcXyzabcContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__
+  commentId: M:Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
+  fullName: Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double, System.Action<object>)
+  fullName.vb: Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double, System.Action(Of Object))
+  nameWithType: ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  nameWithType.vb: ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
 - uid: Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.GetActMcXyzabcSteps*
   name: GetActMcXyzabcSteps
   href: api/Hi.Numerical.Acts.ActLinearClAndLinearMcAbcMcXyzabcContour.html#Hi_Numerical_Acts_ActLinearClAndLinearMcAbcMcXyzabcContour_GetActMcXyzabcSteps_
@@ -119729,15 +119774,15 @@ references:
   isSpec: "True"
   fullName: Hi.Numerical.Acts.ActMcPolarLinearContour.ActDuration
   nameWithType: ActMcPolarLinearContour.ActDuration
-- uid: Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  href: api/Hi.Numerical.Acts.ActMcPolarLinearContour.html#Hi_Numerical_Acts_ActMcPolarLinearContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_
-  commentId: M:Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
-  fullName: Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double)
-  fullName.vb: Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double)
-  nameWithType: ActMcPolarLinearContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  nameWithType.vb: ActMcPolarLinearContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
+- uid: Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  href: api/Hi.Numerical.Acts.ActMcPolarLinearContour.html#Hi_Numerical_Acts_ActMcPolarLinearContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__
+  commentId: M:Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
+  fullName: Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double, System.Action<object>)
+  fullName.vb: Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double, System.Action(Of Object))
+  nameWithType: ActMcPolarLinearContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  nameWithType.vb: ActMcPolarLinearContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
 - uid: Hi.Numerical.Acts.ActMcPolarLinearContour.GetActMcXyzabcSteps*
   name: GetActMcXyzabcSteps
   href: api/Hi.Numerical.Acts.ActMcPolarLinearContour.html#Hi_Numerical_Acts_ActMcPolarLinearContour_GetActMcXyzabcSteps_
@@ -119959,15 +120004,15 @@ references:
   isSpec: "True"
   fullName: Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.CoordinateConverter
   nameWithType: ActMcXyzabcOrientableLinearContour.CoordinateConverter
-- uid: Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  href: api/Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.html#Hi_Numerical_Acts_ActMcXyzabcOrientableLinearContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_
-  commentId: M:Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
-  fullName: Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double)
-  fullName.vb: Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double)
-  nameWithType: ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  nameWithType.vb: ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
+- uid: Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  href: api/Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.html#Hi_Numerical_Acts_ActMcXyzabcOrientableLinearContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__
+  commentId: M:Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
+  fullName: Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double, System.Action<object>)
+  fullName.vb: Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double, System.Action(Of Object))
+  nameWithType: ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  nameWithType.vb: ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
 - uid: Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.GetActMcXyzabcSteps*
   name: GetActMcXyzabcSteps
   href: api/Hi.Numerical.Acts.ActMcXyzabcOrientableLinearContour.html#Hi_Numerical_Acts_ActMcXyzabcOrientableLinearContour_GetActMcXyzabcSteps_
@@ -120287,15 +120332,15 @@ references:
   isSpec: "True"
   fullName: Hi.Numerical.Acts.ActSpiralMcXyzContour.CenterNormal
   nameWithType: ActSpiralMcXyzContour.CenterNormal
-- uid: Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  href: api/Hi.Numerical.Acts.ActSpiralMcXyzContour.html#Hi_Numerical_Acts_ActSpiralMcXyzContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_
-  commentId: M:Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
-  fullName: Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double)
-  fullName.vb: Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double)
-  nameWithType: ActSpiralMcXyzContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  nameWithType.vb: ActSpiralMcXyzContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
+- uid: Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  href: api/Hi.Numerical.Acts.ActSpiralMcXyzContour.html#Hi_Numerical_Acts_ActSpiralMcXyzContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__
+  commentId: M:Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
+  fullName: Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double, System.Action<object>)
+  fullName.vb: Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double, System.Action(Of Object))
+  nameWithType: ActSpiralMcXyzContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  nameWithType.vb: ActSpiralMcXyzContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
 - uid: Hi.Numerical.Acts.ActSpiralMcXyzContour.GetActMcXyzabcSteps*
   name: GetActMcXyzabcSteps
   href: api/Hi.Numerical.Acts.ActSpiralMcXyzContour.html#Hi_Numerical_Acts_ActSpiralMcXyzContour_GetActMcXyzabcSteps_
@@ -120711,15 +120756,15 @@ references:
   commentId: T:Hi.Numerical.Acts.IActMcXyzabcContour
   fullName: Hi.Numerical.Acts.IActMcXyzabcContour
   nameWithType: IActMcXyzabcContour
-- uid: Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  href: api/Hi.Numerical.Acts.IActMcXyzabcContour.html#Hi_Numerical_Acts_IActMcXyzabcContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_
-  commentId: M:Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double)
-  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
-  fullName: Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double)
-  fullName.vb: Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double)
-  nameWithType: IActMcXyzabcContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double)
-  nameWithType.vb: IActMcXyzabcContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double)
+- uid: Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name: GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  href: api/Hi.Numerical.Acts.IActMcXyzabcContour.html#Hi_Numerical_Acts_IActMcXyzabcContour_GetActMcXyzabcSteps_Hi_Numerical_MachiningMotionResolutionUtils_IMachiningMotionResolution_System_Double_System_Action_System_Object__
+  commentId: M:Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution,System.Double,System.Action{System.Object})
+  name.vb: GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
+  fullName: Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, double, System.Action<object>)
+  fullName.vb: Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps(Hi.Numerical.MachiningMotionResolutionUtils.IMachiningMotionResolution, Double, System.Action(Of Object))
+  nameWithType: IActMcXyzabcContour.GetActMcXyzabcSteps(IMachiningMotionResolution, double, Action<object>)
+  nameWithType.vb: IActMcXyzabcContour.GetActMcXyzabcSteps(IMachiningMotionResolution, Double, Action(Of Object))
 - uid: Hi.Numerical.Acts.IActMcXyzabcContour.GetActMcXyzabcSteps*
   name: GetActMcXyzabcSteps
   href: api/Hi.Numerical.Acts.IActMcXyzabcContour.html#Hi_Numerical_Acts_IActMcXyzabcContour_GetActMcXyzabcSteps_
@@ -132978,22 +133023,22 @@ references:
   commentId: T:Hi.Numerical.Xyzabc.ICoordinateConverter
   fullName: Hi.Numerical.Xyzabc.ICoordinateConverter
   nameWithType: ICoordinateConverter
-- uid: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherPnToMc(Hi.Geom.DVec3d,System.Boolean@)
-  name: AttacherPnToMc(DVec3d, out bool)
-  href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_AttacherPnToMc_Hi_Geom_DVec3d_System_Boolean__
-  commentId: M:Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherPnToMc(Hi.Geom.DVec3d,System.Boolean@)
-  name.vb: AttacherPnToMc(DVec3d, Boolean)
-  fullName: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherPnToMc(Hi.Geom.DVec3d, out bool)
-  fullName.vb: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherPnToMc(Hi.Geom.DVec3d, Boolean)
-  nameWithType: ICoordinateConverter.AttacherPnToMc(DVec3d, out bool)
-  nameWithType.vb: ICoordinateConverter.AttacherPnToMc(DVec3d, Boolean)
-- uid: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherPnToMc*
-  name: AttacherPnToMc
-  href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_AttacherPnToMc_
-  commentId: Overload:Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherPnToMc
+- uid: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherNpToMc(Hi.Geom.DVec3d,Hi.Geom.DVec3d@)
+  name: AttacherNpToMc(DVec3d, out DVec3d)
+  href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_AttacherNpToMc_Hi_Geom_DVec3d_Hi_Geom_DVec3d__
+  commentId: M:Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherNpToMc(Hi.Geom.DVec3d,Hi.Geom.DVec3d@)
+  name.vb: AttacherNpToMc(DVec3d, DVec3d)
+  fullName: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherNpToMc(Hi.Geom.DVec3d, out Hi.Geom.DVec3d)
+  fullName.vb: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherNpToMc(Hi.Geom.DVec3d, Hi.Geom.DVec3d)
+  nameWithType: ICoordinateConverter.AttacherNpToMc(DVec3d, out DVec3d)
+  nameWithType.vb: ICoordinateConverter.AttacherNpToMc(DVec3d, DVec3d)
+- uid: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherNpToMc*
+  name: AttacherNpToMc
+  href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_AttacherNpToMc_
+  commentId: Overload:Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherNpToMc
   isSpec: "True"
-  fullName: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherPnToMc
-  nameWithType: ICoordinateConverter.AttacherPnToMc
+  fullName: Hi.Numerical.Xyzabc.ICoordinateConverter.AttacherNpToMc
+  nameWithType: ICoordinateConverter.AttacherNpToMc
 - uid: Hi.Numerical.Xyzabc.ICoordinateConverter.IsAxisAExisted
   name: IsAxisAExisted()
   href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_IsAxisAExisted
@@ -133059,19 +133104,19 @@ references:
   isSpec: "True"
   fullName: Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherMat
   nameWithType: ICoordinateConverter.McToAttacherMat
-- uid: Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherPn(Hi.Geom.DVec3d)
-  name: McToAttacherPn(DVec3d)
-  href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_McToAttacherPn_Hi_Geom_DVec3d_
-  commentId: M:Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherPn(Hi.Geom.DVec3d)
-  fullName: Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherPn(Hi.Geom.DVec3d)
-  nameWithType: ICoordinateConverter.McToAttacherPn(DVec3d)
-- uid: Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherPn*
-  name: McToAttacherPn
-  href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_McToAttacherPn_
-  commentId: Overload:Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherPn
+- uid: Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherNp(Hi.Geom.DVec3d)
+  name: McToAttacherNp(DVec3d)
+  href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_McToAttacherNp_Hi_Geom_DVec3d_
+  commentId: M:Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherNp(Hi.Geom.DVec3d)
+  fullName: Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherNp(Hi.Geom.DVec3d)
+  nameWithType: ICoordinateConverter.McToAttacherNp(DVec3d)
+- uid: Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherNp*
+  name: McToAttacherNp
+  href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_McToAttacherNp_
+  commentId: Overload:Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherNp
   isSpec: "True"
-  fullName: Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherPn
-  nameWithType: ICoordinateConverter.McToAttacherPn
+  fullName: Hi.Numerical.Xyzabc.ICoordinateConverter.McToAttacherNp
+  nameWithType: ICoordinateConverter.McToAttacherNp
 - uid: Hi.Numerical.Xyzabc.ICoordinateConverter.TiltMatToMcAbc(Hi.Geom.Mat4d,Hi.Geom.Vec3d@)
   name: TiltMatToMcAbc(Mat4d, out Vec3d)
   href: api/Hi.Numerical.Xyzabc.ICoordinateConverter.html#Hi_Numerical_Xyzabc_ICoordinateConverter_TiltMatToMcAbc_Hi_Geom_Mat4d_Hi_Geom_Vec3d__
@@ -133145,6 +133190,19 @@ references:
   isSpec: "True"
   fullName: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerA
   nameWithType: IXyzabcChain.GetTransformerA
+- uid: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerAbc
+  name: GetTransformerAbc()
+  href: api/Hi.Numerical.Xyzabc.IXyzabcChain.html#Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerAbc
+  commentId: M:Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerAbc
+  fullName: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerAbc()
+  nameWithType: IXyzabcChain.GetTransformerAbc()
+- uid: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerAbc*
+  name: GetTransformerAbc
+  href: api/Hi.Numerical.Xyzabc.IXyzabcChain.html#Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerAbc_
+  commentId: Overload:Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerAbc
+  isSpec: "True"
+  fullName: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerAbc
+  nameWithType: IXyzabcChain.GetTransformerAbc
 - uid: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerB
   name: GetTransformerB()
   href: api/Hi.Numerical.Xyzabc.IXyzabcChain.html#Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerB
@@ -133184,6 +133242,19 @@ references:
   isSpec: "True"
   fullName: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerX
   nameWithType: IXyzabcChain.GetTransformerX
+- uid: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerXyz
+  name: GetTransformerXyz()
+  href: api/Hi.Numerical.Xyzabc.IXyzabcChain.html#Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerXyz
+  commentId: M:Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerXyz
+  fullName: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerXyz()
+  nameWithType: IXyzabcChain.GetTransformerXyz()
+- uid: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerXyz*
+  name: GetTransformerXyz
+  href: api/Hi.Numerical.Xyzabc.IXyzabcChain.html#Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerXyz_
+  commentId: Overload:Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerXyz
+  isSpec: "True"
+  fullName: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerXyz
+  nameWithType: IXyzabcChain.GetTransformerXyz
 - uid: Hi.Numerical.Xyzabc.IXyzabcChain.GetTransformerY
   name: GetTransformerY()
   href: api/Hi.Numerical.Xyzabc.IXyzabcChain.html#Hi_Numerical_Xyzabc_IXyzabcChain_GetTransformerY
@@ -133666,35 +133737,22 @@ references:
   fullName.vb: Hi.Numerical.Xyzabc.XyzabcSolver.New
   nameWithType: XyzabcSolver.XyzabcSolver
   nameWithType.vb: XyzabcSolver.New
-- uid: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherPnToMc(Hi.Geom.DVec3d,System.Boolean@)
-  name: AttacherPnToMc(DVec3d, out bool)
-  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_AttacherPnToMc_Hi_Geom_DVec3d_System_Boolean__
-  commentId: M:Hi.Numerical.Xyzabc.XyzabcSolver.AttacherPnToMc(Hi.Geom.DVec3d,System.Boolean@)
-  name.vb: AttacherPnToMc(DVec3d, Boolean)
-  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherPnToMc(Hi.Geom.DVec3d, out bool)
-  fullName.vb: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherPnToMc(Hi.Geom.DVec3d, Boolean)
-  nameWithType: XyzabcSolver.AttacherPnToMc(DVec3d, out bool)
-  nameWithType.vb: XyzabcSolver.AttacherPnToMc(DVec3d, Boolean)
-- uid: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherPnToMc*
-  name: AttacherPnToMc
-  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_AttacherPnToMc_
-  commentId: Overload:Hi.Numerical.Xyzabc.XyzabcSolver.AttacherPnToMc
+- uid: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherNpToMc(Hi.Geom.DVec3d,Hi.Geom.DVec3d@)
+  name: AttacherNpToMc(DVec3d, out DVec3d)
+  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_AttacherNpToMc_Hi_Geom_DVec3d_Hi_Geom_DVec3d__
+  commentId: M:Hi.Numerical.Xyzabc.XyzabcSolver.AttacherNpToMc(Hi.Geom.DVec3d,Hi.Geom.DVec3d@)
+  name.vb: AttacherNpToMc(DVec3d, DVec3d)
+  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherNpToMc(Hi.Geom.DVec3d, out Hi.Geom.DVec3d)
+  fullName.vb: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherNpToMc(Hi.Geom.DVec3d, Hi.Geom.DVec3d)
+  nameWithType: XyzabcSolver.AttacherNpToMc(DVec3d, out DVec3d)
+  nameWithType.vb: XyzabcSolver.AttacherNpToMc(DVec3d, DVec3d)
+- uid: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherNpToMc*
+  name: AttacherNpToMc
+  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_AttacherNpToMc_
+  commentId: Overload:Hi.Numerical.Xyzabc.XyzabcSolver.AttacherNpToMc
   isSpec: "True"
-  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherPnToMc
-  nameWithType: XyzabcSolver.AttacherPnToMc
-- uid: Hi.Numerical.Xyzabc.XyzabcSolver.Device
-  name: Device
-  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_Device
-  commentId: P:Hi.Numerical.Xyzabc.XyzabcSolver.Device
-  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.Device
-  nameWithType: XyzabcSolver.Device
-- uid: Hi.Numerical.Xyzabc.XyzabcSolver.Device*
-  name: Device
-  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_Device_
-  commentId: Overload:Hi.Numerical.Xyzabc.XyzabcSolver.Device
-  isSpec: "True"
-  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.Device
-  nameWithType: XyzabcSolver.Device
+  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.AttacherNpToMc
+  nameWithType: XyzabcSolver.AttacherNpToMc
 - uid: Hi.Numerical.Xyzabc.XyzabcSolver.IsAxisAExisted
   name: IsAxisAExisted()
   href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_IsAxisAExisted
@@ -133760,19 +133818,19 @@ references:
   isSpec: "True"
   fullName: Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherMat
   nameWithType: XyzabcSolver.McToAttacherMat
-- uid: Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherPn(Hi.Geom.DVec3d)
-  name: McToAttacherPn(DVec3d)
-  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_McToAttacherPn_Hi_Geom_DVec3d_
-  commentId: M:Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherPn(Hi.Geom.DVec3d)
-  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherPn(Hi.Geom.DVec3d)
-  nameWithType: XyzabcSolver.McToAttacherPn(DVec3d)
-- uid: Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherPn*
-  name: McToAttacherPn
-  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_McToAttacherPn_
-  commentId: Overload:Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherPn
+- uid: Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherNp(Hi.Geom.DVec3d)
+  name: McToAttacherNp(DVec3d)
+  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_McToAttacherNp_Hi_Geom_DVec3d_
+  commentId: M:Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherNp(Hi.Geom.DVec3d)
+  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherNp(Hi.Geom.DVec3d)
+  nameWithType: XyzabcSolver.McToAttacherNp(DVec3d)
+- uid: Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherNp*
+  name: McToAttacherNp
+  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_McToAttacherNp_
+  commentId: Overload:Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherNp
   isSpec: "True"
-  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherPn
-  nameWithType: XyzabcSolver.McToAttacherPn
+  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.McToAttacherNp
+  nameWithType: XyzabcSolver.McToAttacherNp
 - uid: Hi.Numerical.Xyzabc.XyzabcSolver.Rebuild
   name: Rebuild()
   href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_Rebuild
@@ -133786,12 +133844,15 @@ references:
   isSpec: "True"
   fullName: Hi.Numerical.Xyzabc.XyzabcSolver.Rebuild
   nameWithType: XyzabcSolver.Rebuild
-- uid: Hi.Numerical.Xyzabc.XyzabcSolver.SetNp(Hi.Geom.DVec3d)
-  name: SetNp(DVec3d)
-  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_SetNp_Hi_Geom_DVec3d_
-  commentId: M:Hi.Numerical.Xyzabc.XyzabcSolver.SetNp(Hi.Geom.DVec3d)
-  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.SetNp(Hi.Geom.DVec3d)
-  nameWithType: XyzabcSolver.SetNp(DVec3d)
+- uid: Hi.Numerical.Xyzabc.XyzabcSolver.SetNp(Hi.Geom.DVec3d,Hi.Geom.DVec3d@)
+  name: SetNp(DVec3d, out DVec3d)
+  href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_SetNp_Hi_Geom_DVec3d_Hi_Geom_DVec3d__
+  commentId: M:Hi.Numerical.Xyzabc.XyzabcSolver.SetNp(Hi.Geom.DVec3d,Hi.Geom.DVec3d@)
+  name.vb: SetNp(DVec3d, DVec3d)
+  fullName: Hi.Numerical.Xyzabc.XyzabcSolver.SetNp(Hi.Geom.DVec3d, out Hi.Geom.DVec3d)
+  fullName.vb: Hi.Numerical.Xyzabc.XyzabcSolver.SetNp(Hi.Geom.DVec3d, Hi.Geom.DVec3d)
+  nameWithType: XyzabcSolver.SetNp(DVec3d, out DVec3d)
+  nameWithType.vb: XyzabcSolver.SetNp(DVec3d, DVec3d)
 - uid: Hi.Numerical.Xyzabc.XyzabcSolver.SetNp*
   name: SetNp
   href: api/Hi.Numerical.Xyzabc.XyzabcSolver.html#Hi_Numerical_Xyzabc_XyzabcSolver_SetNp_
diff --git a/App/zh-Hans/HiMech.resources.dll b/App/zh-Hans/HiMech.resources.dll
index 10003ee..c5319b4 100644
Binary files a/App/zh-Hans/HiMech.resources.dll and b/App/zh-Hans/HiMech.resources.dll differ
diff --git a/App/zh-Hans/HiNc.resources.dll b/App/zh-Hans/HiNc.resources.dll
index 1126763..bb1dc89 100644
Binary files a/App/zh-Hans/HiNc.resources.dll and b/App/zh-Hans/HiNc.resources.dll differ
diff --git a/App/zh-Hant/HiGeom.resources.dll b/App/zh-Hant/HiGeom.resources.dll
index eb47796..ddf6389 100644
Binary files a/App/zh-Hant/HiGeom.resources.dll and b/App/zh-Hant/HiGeom.resources.dll differ
diff --git a/App/zh-Hant/HiMech.resources.dll b/App/zh-Hant/HiMech.resources.dll
index 778bebf..8173d1e 100644
Binary files a/App/zh-Hant/HiMech.resources.dll and b/App/zh-Hant/HiMech.resources.dll differ
diff --git a/App/zh-Hant/HiNc.resources.dll b/App/zh-Hant/HiNc.resources.dll
index 6635e9b..6921cf1 100644
Binary files a/App/zh-Hant/HiNc.resources.dll and b/App/zh-Hant/HiNc.resources.dll differ