rename XFactory.Regs to XFactory.Generators.

App/wwwroot/HiAPI-docsite/api/Hi.NcParsers.LogicSyntaxs.IsoLocalCoordinateOffsetSyntax.html

@@ -188,6 +188,75 @@ Modal — persists via backward lookback until changed or cancelled.
   </dd></dl>
 
 
+  <h2 id="Hi_NcParsers_LogicSyntaxs_IsoLocalCoordinateOffsetSyntax_examples">Examples</h2>
+  <p><code>Mat4d</code> arrays are 16 plain doubles in column-major order; pure
+translation by <code>(tx,ty,tz)</code> is
+<code>[1,0,0,0, 0,1,0,0, 0,0,1,0, tx,ty,tz,1]</code> — see
+<a class="xref" href="Hi.NcParsers.LogicSyntaxs.IsoCoordinateOffsetSyntax.html">IsoCoordinateOffsetSyntax</a> for the column-major template.</p>
+<p>
+First block of the stream (no <code>#Previous:</code>) — the syntax
+stamps a zero-offset section and an identity translation in the
+chain so downstream lookback always sees a concrete state:
+</p>
+#BeforeBuild:
+<pre><code class="lang-csharp">{ }</code></pre>
+#AfterBuild:
+<pre><code class="lang-csharp">{
+  "IsoLocalCoordinateOffset": { "Offset_X": 0, "Offset_Y": 0, "Offset_Z": 0 },
+  "ProgramToMcTransform": [
+    {
+      "Source": "IsoLocalCoordinateOffset",
+      "Kind": "Static",
+      "Mat4d": [1,0,0,0, 0,1,0,0, 0,0,1,0, 0,0,0,1]
+    }
+  ]
+}</code></pre>
+<code>G52 X10 Y20 Z5</code> on a non-first block alongside an unrelated
+M03 flag — the <code>G52</code> sub-section is consumed (removed from
+<code>Parsing</code>) and the translation is composed into the chain; the
+unrelated flag stays because this syntax does not call
+<code>CleanupParsing</code>:
+#Previous:
+<pre><code class="lang-csharp">{ "IsoLocalCoordinateOffset": { "Offset_X": 0, "Offset_Y": 0, "Offset_Z": 0 } }</code></pre>
+#BeforeBuild:
+<pre><code class="lang-csharp">{
+  "Parsing": {
+    "Flags": ["M03"],
+    "G52": { "X": 10, "Y": 20, "Z": 5 }
+  }
+}</code></pre>
+#AfterBuild:
+<pre><code class="lang-csharp">{
+  "Parsing": { "Flags": ["M03"] },
+  "IsoLocalCoordinateOffset": { "Offset_X": 10, "Offset_Y": 20, "Offset_Z": 5 },
+  "ProgramToMcTransform": [
+    {
+      "Source": "IsoLocalCoordinateOffset",
+      "Kind": "Static",
+      "Mat4d": [1,0,0,0, 0,1,0,0, 0,0,1,0, 10,20,5,1]
+    }
+  ]
+}</code></pre>
+No G52 on the current block but <code>#Previous:</code> had a non-zero
+offset — modal lookback inherits it (with the translation
+re-composed into this block's chain):
+#Previous:
+<pre><code class="lang-csharp">{ "IsoLocalCoordinateOffset": { "Offset_X": 10, "Offset_Y": 20, "Offset_Z": 5 } }</code></pre>
+#BeforeBuild:
+<pre><code class="lang-csharp">{ "Parsing": { "Flags": ["M03"] } }</code></pre>
+#AfterBuild:
+<pre><code class="lang-csharp">{
+  "Parsing": { "Flags": ["M03"] },
+  "IsoLocalCoordinateOffset": { "Offset_X": 10, "Offset_Y": 20, "Offset_Z": 5 },
+  "ProgramToMcTransform": [
+    {
+      "Source": "IsoLocalCoordinateOffset",
+      "Kind": "Static",
+      "Mat4d": [1,0,0,0, 0,1,0,0, 0,0,1,0, 10,20,5,1]
+    }
+  ]
+}</code></pre>
+