diff --git a/README.md b/README.md
index c940d034..2d5913af 100644
--- a/README.md
+++ b/README.md
@@ -55,9 +55,12 @@ import { createSession, loadFromPath, loadDirectory } from 'data-explorer-core/n
 
 ## Saving a file
 
-`session.serializeSource(srcId)` answers a `.sldd` in the form it arrived in:
-`{ kind: 'binary', bytes }` for a compressed-binary package, `{ kind: 'text', text }`
-for a text dictionary. The other formats are read-only and answer `null`.
+`session.serializeSource(srcId)` answers a file in the form it arrived in: a
+`.sldd` as `{ kind: 'binary', bytes }` for a compressed-binary package and
+`{ kind: 'text', text }` for a text dictionary, a `.mat` as
+`{ kind: 'binary', sourceFormat: 'mat', bytes }`. Models and projects are
+read-only and answer `null`. A save does not reset the source's `dirty` flag:
+the host writes the bytes and registers the file again.
 
 A binary dictionary's save writes each entry nobody edited as the bytes it was
 read from, in its own place, and writes from the model only what was edited or
@@ -105,6 +108,58 @@ save gate has to check for itself. `readEntryFragment(fragment,
 bytes it came from, so an entry rebuilt from text by an undo is still written as
 those bytes, and merged with them when it is edited again.
 
+### A MAT-file
+
+A MAT-file is saved as the file it was read from, with what was edited written
+fresh. That is a Level-5 file, as `-v6` and `-v7` write it; a `-v7.3` file (HDF5)
+and a big-endian one are not opened. Every variable nobody edited is written as
+the bytes it was read from, compressed or not as it was, in its own place, and so
+are the file's objects (the unnamed record MATLAB keeps them in, last) and every
+record the reader could not read; the header keeps its text. A variable only
+renamed is its own bytes with the new name in them. One whose value was edited,
+and one added, is written from the model, after the last variable and before the
+objects, and compressed only if the file already holds a compressed record, so a
+`-v6` file stays one. Written from the model, a variable is still the one it was
+read as in every part it holds: a struct array of no element keeps its field
+names, an empty its complexity, a zero its sign, and a variable saved as global
+stays global. Before the bytes are handed back, every record written anew is
+read again, and the file is held to the rules MATLAB loads a file by: a save that
+breaks one the file as read did not break is refused, with a `MatWriteError`
+naming the variable, and nothing is written. Both are asked where the save changed
+the file, so a save costs what it changed, however large the rest of the file is;
+a record written anew too large for the check to finish is refused as not
+verified.
+
+What such a save cannot write, the editor does not offer. A host that honours the
+editability core hands it (`getPropInfo(...).editable`, a row's `Name.editable`,
+`_valueEditable` and `_descriptionEditable`, `nameEditable`, `valueEditable`,
+`canAddChild`, `canRemoveChild`) offers no edit a save then refuses, and every
+setter and `editProperty` refuse the same edits, naming the variable and why.
+These take a rename and a delete and nothing else:
+
+- an object, of any class (a `Simulink.Parameter`, a bus, a signal, a class of
+  your own): none of its properties and none of the rows under it;
+- a string, a function handle, and a value the reader could not decode;
+- a plain variable holding any of these, or a cell or struct array the reader
+  read short (holding fewer elements than it declares, which a save would write
+  as empty), at any depth: neither its value nor any row under it;
+- a plain variable stored in a form MATLAB does not load as it is (char data in
+  `miUINT8` or `miUTF32`, a numeric class in another class's type, a matrix its
+  parts do not fill), whose value as read is this package's guess at it;
+- either of two variables of one name, until one is renamed: MATLAB loads only
+  one of them.
+
+A value typed in that would make a string (`"abc"`, `{1, "a"}`) is refused, and
+Add is not offered on a struct array or on an element of one. A variable stored
+after the objects, which MATLAB does not load, takes no edit, not even a rename,
+and can be deleted. A file no save of which can be written is `readOnly` and takes
+no edit, addition or delete at all: one whose records do not tile it, one opened
+from a parse without its records (an older host's, through
+`addMatSourceParsed`), one whose bytes the host has since handed away.
+`addEntry` adds a variable named `var` (then `var1`, and so on) holding the
+double `0`. What only a value's bytes can say is still checked by the save, and
+refused in the same words.
+
 ## Usage across a folder
 
 `session.findUsages(nodeId)` answers "what refers to this?" off the trees a
diff --git a/dist/core/DataModel.d.ts.map b/dist/core/DataModel.d.ts.map
index 0f8730b8..1899489d 100644
--- a/dist/core/DataModel.d.ts.map
+++ b/dist/core/DataModel.d.ts.map
@@ -1 +1 @@
-{"version":3,"file":"DataModel.d.ts","sourceRoot":"","sources":["../../src/core/DataModel.ts"],"names":[],"mappings":"AAwBA,OAAO,KAAK,EAAE,KAAK,EAAkB,WAAW,EAAE,QAAQ,EAAE,UAAU,EAAE,MAAM,qBAAqB,CAAC;AACpG,OAAO,KAAK,EAAE,YAAY,EAAE,MAAM,qCAAqC,CAAC;AAIxE,OAAO,KAAK,EAAE,OAAO,EAAmC,MAAM,+BAA+B,CAAC;AAa9F,OAAO,KAAK,EACV,oBAAoB,EACpB,mBAAmB,EACnB,cAAc,EACd,cAAc,EACd,SAAS,EACT,gBAAgB,EACjB,MAAM,mBAAmB,CAAC;AAW3B,YAAY,EAAE,OAAO,EAAE,UAAU,EAAE,MAAM,mBAAmB,CAAC;AAC7D,YAAY,EAAE,oBAAoB,EAAE,mBAAmB,EAAE,cAAc,EAAE,cAAc,EAAE,SAAS,EAAE,gBAAgB,EAAE,CAAC;AA6BvH,wBAAgB,aAAa,CAAC,IAAI,GAAE,oBAAyB;;2BAucpD,MAAM,WACJ,MAAM,CAAC,MAAM,EAAE,OAAO,CAAC,SACzB,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;6BAYL,MAAM,YACH,WAAW,SACd,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;4BAIiB,MAAM,UAAU,WAAW,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;kCAoD/D,MAAM,UAAU,OAAO,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;0BAzCzE,MAAM,UAAU,WAAW,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;gCAoD/D,MAAM,UAAU,OAAO,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;8BAzC3F,MAAM,SACN,MAAM,CAAC,MAAM,EAAE,MAAM,CAAC,SACtB,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;8BA0HmB,MAAM,KAAG,IAAI;qBAiBxB,IAAI;2BAQI,MAAM,KAAG,WAAW,GAAG,IAAI;2BAI3B,MAAM,KAAG,OAAO;4BAIjB,MAAM,EAAE;8BAIN,MAAM;6BA29CL,MAAM,KAAG,gBAAgB,GAAG,IAAI;sBAv9CzC,OAAO;6BA3QE,KAAK,GAAG,QAAQ,KAAG,IAAI;4BAMxB,KAAK,GAAG,KAAK,EAAE,GAAG,IAAI,KAAG,IAAI;yBAWhC,KAAK,GAAG,QAAQ,GAAG,IAAI,SAAS,KAAK,GAAG,KAAK,EAAE,GAAG,IAAI,KAAG,IAAI;0BAY9D,KAAK,GAAG,QAAQ,GAAG,IAAI;wBAIzB,KAAK,GAAG,IAAI;yBAIX,KAAK,EAAE;yBAIP,KAAK,GAAG,QAAQ,GAAG,IAAI;6BA8pDnB,WAAW,GAAG,IAAI;+BA4DhB,WAAW,GAAG,IAAI;2BA7FpB,KAAK,GAAG,IAAI,KAAG,IAAI;0BAKtB,KAAK,GAAG,IAAI;4BAIV,IAAI;2BA55CH,MAAM,KAAG,KAAK,GAAG,IAAI;uBAgEzB,cAAc,KAAG,KAAK,EAAE;sBA+DzB,cAAc,KAAG,KAAK,GAAG,IAAI;0BA+JzB,MAAM,KAAG,cAAc;yBAsQxB,MAAM,KAAG,SAAS,EAAE;yCA+RJ,MAAM,KAAG,mBAAmB,EAAE;wBAlD/C,KAAK,KAAG,OAAO,EAAE;sBAvjCrB,IAAI;oBAIN,IAAI;2BAotCf,MAAM,gBACA,MAAM,YACV,OAAO,aACN,OAAO,KACjB,IAAI,GAAG,KAAK,GAAG;QAAE,KAAK,EAAE,OAAO,CAAC;QAAC,MAAM,EAAE,MAAM,CAAC;QAAC,YAAY,EAAE,MAAM,CAAC;QAAC,UAAU,EAAE,MAAM,CAAA;KAAE;2BA8FhE,MAAM,aAAa,MAAM,cAAc,MAAM,KAAG,KAAK,GAAG,IAAI;oBAmQrE,KAAK,GAAG,IAAI;sBAsBV,OAAO;yBARF,MAAM,KAAG,KAAK,GAAG,IAAI;6BA8BjB,MAAM,KAAG,OAAO;+BAgBd,MAAM,EAAE,KAAG,OAAO;oBA7sD7B,CAAC,QAAQ,KAAK,UAAU,MAAM,CAAC,KAAG,CAAC;yBA0C9B,KAAK,KAAG,IAAI;2BAoBV,KAAK,WAAW,MAAM,IAAI,KAAG,IAAI;gBAqrDxC,IAAI;gBAQJ,IAAI;mBAQD,OAAO;mBAKP,OAAO;;EA8KhC;AAED,MAAM,MAAM,OAAO,GAAG,UAAU,CAAC,OAAO,aAAa,CAAC,CAAC;AAEvD,QAAA,MAAM,SAAS;;2BA7xDN,MAAM,WACJ,MAAM,CAAC,MAAM,EAAE,OAAO,CAAC,SACzB,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;6BAYL,MAAM,YACH,WAAW,SACd,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;4BAIiB,MAAM,UAAU,WAAW,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;kCAoD/D,MAAM,UAAU,OAAO,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;0BAzCzE,MAAM,UAAU,WAAW,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;gCAoD/D,MAAM,UAAU,OAAO,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;8BAzC3F,MAAM,SACN,MAAM,CAAC,MAAM,EAAE,MAAM,CAAC,SACtB,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;8BA0HmB,MAAM,KAAG,IAAI;qBAiBxB,IAAI;2BAQI,MAAM,KAAG,WAAW,GAAG,IAAI;2BAI3B,MAAM,KAAG,OAAO;4BAIjB,MAAM,EAAE;8BAIN,MAAM;6BA29CL,MAAM,KAAG,gBAAgB,GAAG,IAAI;sBAv9CzC,OAAO;6BA3QE,KAAK,GAAG,QAAQ,KAAG,IAAI;4BAMxB,KAAK,GAAG,KAAK,EAAE,GAAG,IAAI,KAAG,IAAI;yBAWhC,KAAK,GAAG,QAAQ,GAAG,IAAI,SAAS,KAAK,GAAG,KAAK,EAAE,GAAG,IAAI,KAAG,IAAI;0BAY9D,KAAK,GAAG,QAAQ,GAAG,IAAI;wBAIzB,KAAK,GAAG,IAAI;yBAIX,KAAK,EAAE;yBAIP,KAAK,GAAG,QAAQ,GAAG,IAAI;6BA8pDnB,WAAW,GAAG,IAAI;+BA4DhB,WAAW,GAAG,IAAI;2BA7FpB,KAAK,GAAG,IAAI,KAAG,IAAI;0BAKtB,KAAK,GAAG,IAAI;4BAIV,IAAI;2BA55CH,MAAM,KAAG,KAAK,GAAG,IAAI;uBAgEzB,cAAc,KAAG,KAAK,EAAE;sBA+DzB,cAAc,KAAG,KAAK,GAAG,IAAI;0BA+JzB,MAAM,KAAG,cAAc;yBAsQxB,MAAM,KAAG,SAAS,EAAE;yCA+RJ,MAAM,KAAG,mBAAmB,EAAE;wBAlD/C,KAAK,KAAG,OAAO,EAAE;sBAvjCrB,IAAI;oBAIN,IAAI;2BAotCf,MAAM,gBACA,MAAM,YACV,OAAO,aACN,OAAO,KACjB,IAAI,GAAG,KAAK,GAAG;QAAE,KAAK,EAAE,OAAO,CAAC;QAAC,MAAM,EAAE,MAAM,CAAC;QAAC,YAAY,EAAE,MAAM,CAAC;QAAC,UAAU,EAAE,MAAM,CAAA;KAAE;2BA8FhE,MAAM,aAAa,MAAM,cAAc,MAAM,KAAG,KAAK,GAAG,IAAI;oBAmQrE,KAAK,GAAG,IAAI;sBAsBV,OAAO;yBARF,MAAM,KAAG,KAAK,GAAG,IAAI;6BA8BjB,MAAM,KAAG,OAAO;+BAgBd,MAAM,EAAE,KAAG,OAAO;oBA7sD7B,CAAC,QAAQ,KAAK,UAAU,MAAM,CAAC,KAAG,CAAC;yBA0C9B,KAAK,KAAG,IAAI;2BAoBV,KAAK,WAAW,MAAM,IAAI,KAAG,IAAI;gBAqrDxC,IAAI;gBAQJ,IAAI;mBAQD,OAAO;mBAKP,OAAO;;CAkLmB,CAAC;AAErD,eAAe,SAAS,CAAC"}
\ No newline at end of file
+{"version":3,"file":"DataModel.d.ts","sourceRoot":"","sources":["../../src/core/DataModel.ts"],"names":[],"mappings":"AAyBA,OAAO,KAAK,EAAE,KAAK,EAAkB,WAAW,EAAE,QAAQ,EAAE,UAAU,EAAE,MAAM,qBAAqB,CAAC;AACpG,OAAO,KAAK,EAAE,YAAY,EAAE,MAAM,qCAAqC,CAAC;AAIxE,OAAO,KAAK,EAAE,OAAO,EAAmC,MAAM,+BAA+B,CAAC;AAa9F,OAAO,KAAK,EACV,oBAAoB,EACpB,mBAAmB,EACnB,cAAc,EACd,cAAc,EACd,SAAS,EACT,gBAAgB,EACjB,MAAM,mBAAmB,CAAC;AAW3B,YAAY,EAAE,OAAO,EAAE,UAAU,EAAE,MAAM,mBAAmB,CAAC;AAC7D,YAAY,EAAE,oBAAoB,EAAE,mBAAmB,EAAE,cAAc,EAAE,cAAc,EAAE,SAAS,EAAE,gBAAgB,EAAE,CAAC;AA6BvH,wBAAgB,aAAa,CAAC,IAAI,GAAE,oBAAyB;;2BAucpD,MAAM,WACJ,MAAM,CAAC,MAAM,EAAE,OAAO,CAAC,SACzB,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;6BAYL,MAAM,YACH,WAAW,SACd,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;4BAIiB,MAAM,UAAU,WAAW,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;kCAoD/D,MAAM,UAAU,OAAO,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;0BAzCzE,MAAM,UAAU,WAAW,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;gCAoD/D,MAAM,UAAU,OAAO,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;8BAzC3F,MAAM,SACN,MAAM,CAAC,MAAM,EAAE,MAAM,CAAC,SACtB,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;8BA0HmB,MAAM,KAAG,IAAI;qBAiBxB,IAAI;2BAQI,MAAM,KAAG,WAAW,GAAG,IAAI;2BAI3B,MAAM,KAAG,OAAO;4BAIjB,MAAM,EAAE;8BAIN,MAAM;6BAg/CL,MAAM,KAAG,gBAAgB,GAAG,IAAI;sBA5+CzC,OAAO;6BA3QE,KAAK,GAAG,QAAQ,KAAG,IAAI;4BAMxB,KAAK,GAAG,KAAK,EAAE,GAAG,IAAI,KAAG,IAAI;yBAWhC,KAAK,GAAG,QAAQ,GAAG,IAAI,SAAS,KAAK,GAAG,KAAK,EAAE,GAAG,IAAI,KAAG,IAAI;0BAY9D,KAAK,GAAG,QAAQ,GAAG,IAAI;wBAIzB,KAAK,GAAG,IAAI;yBAIX,KAAK,EAAE;yBAIP,KAAK,GAAG,QAAQ,GAAG,IAAI;6BAirDnB,WAAW,GAAG,IAAI;+BAqEhB,WAAW,GAAG,IAAI;2BAtGpB,KAAK,GAAG,IAAI,KAAG,IAAI;0BAKtB,KAAK,GAAG,IAAI;4BAIV,IAAI;2BA/6CH,MAAM,KAAG,KAAK,GAAG,IAAI;uBAgEzB,cAAc,KAAG,KAAK,EAAE;sBA+DzB,cAAc,KAAG,KAAK,GAAG,IAAI;0BA+JzB,MAAM,KAAG,cAAc;yBAsQxB,MAAM,KAAG,SAAS,EAAE;yCA+RJ,MAAM,KAAG,mBAAmB,EAAE;wBAlD/C,KAAK,KAAG,OAAO,EAAE;sBAvjCrB,IAAI;oBAIN,IAAI;2BAotCf,MAAM,gBACA,MAAM,YACV,OAAO,aACN,OAAO,KACjB,IAAI,GAAG,KAAK,GAAG;QAAE,KAAK,EAAE,OAAO,CAAC;QAAC,MAAM,EAAE,MAAM,CAAC;QAAC,YAAY,EAAE,MAAM,CAAC;QAAC,UAAU,EAAE,MAAM,CAAA;KAAE;2BA+GhE,MAAM,aAAa,MAAM,cAAc,MAAM,KAAG,KAAK,GAAG,IAAI;oBAqQrE,KAAK,GAAG,IAAI;sBAsBV,OAAO;yBARF,MAAM,KAAG,KAAK,GAAG,IAAI;6BA8BjB,MAAM,KAAG,OAAO;+BAgBd,MAAM,EAAE,KAAG,OAAO;oBAhuD7B,CAAC,QAAQ,KAAK,UAAU,MAAM,CAAC,KAAG,CAAC;yBA0C9B,KAAK,KAAG,IAAI;2BAoBV,KAAK,WAAW,MAAM,IAAI,KAAG,IAAI;gBAwsDxC,IAAI;gBAQJ,IAAI;mBAQD,OAAO;mBAKP,OAAO;;EAuLhC;AAED,MAAM,MAAM,OAAO,GAAG,UAAU,CAAC,OAAO,aAAa,CAAC,CAAC;AAEvD,QAAA,MAAM,SAAS;;2BAzzDN,MAAM,WACJ,MAAM,CAAC,MAAM,EAAE,OAAO,CAAC,SACzB,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;6BAYL,MAAM,YACH,WAAW,SACd,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;4BAIiB,MAAM,UAAU,WAAW,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;kCAoD/D,MAAM,UAAU,OAAO,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;0BAzCzE,MAAM,UAAU,WAAW,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;gCAoD/D,MAAM,UAAU,OAAO,SAAS,OAAO,CAAC,UAAU,CAAC,KAAG,WAAW;8BAzC3F,MAAM,SACN,MAAM,CAAC,MAAM,EAAE,MAAM,CAAC,SACtB,OAAO,CAAC,UAAU,CAAC,aACf,YAAY,EAAE,KACxB,WAAW;8BA0HmB,MAAM,KAAG,IAAI;qBAiBxB,IAAI;2BAQI,MAAM,KAAG,WAAW,GAAG,IAAI;2BAI3B,MAAM,KAAG,OAAO;4BAIjB,MAAM,EAAE;8BAIN,MAAM;6BAg/CL,MAAM,KAAG,gBAAgB,GAAG,IAAI;sBA5+CzC,OAAO;6BA3QE,KAAK,GAAG,QAAQ,KAAG,IAAI;4BAMxB,KAAK,GAAG,KAAK,EAAE,GAAG,IAAI,KAAG,IAAI;yBAWhC,KAAK,GAAG,QAAQ,GAAG,IAAI,SAAS,KAAK,GAAG,KAAK,EAAE,GAAG,IAAI,KAAG,IAAI;0BAY9D,KAAK,GAAG,QAAQ,GAAG,IAAI;wBAIzB,KAAK,GAAG,IAAI;yBAIX,KAAK,EAAE;yBAIP,KAAK,GAAG,QAAQ,GAAG,IAAI;6BAirDnB,WAAW,GAAG,IAAI;+BAqEhB,WAAW,GAAG,IAAI;2BAtGpB,KAAK,GAAG,IAAI,KAAG,IAAI;0BAKtB,KAAK,GAAG,IAAI;4BAIV,IAAI;2BA/6CH,MAAM,KAAG,KAAK,GAAG,IAAI;uBAgEzB,cAAc,KAAG,KAAK,EAAE;sBA+DzB,cAAc,KAAG,KAAK,GAAG,IAAI;0BA+JzB,MAAM,KAAG,cAAc;yBAsQxB,MAAM,KAAG,SAAS,EAAE;yCA+RJ,MAAM,KAAG,mBAAmB,EAAE;wBAlD/C,KAAK,KAAG,OAAO,EAAE;sBAvjCrB,IAAI;oBAIN,IAAI;2BAotCf,MAAM,gBACA,MAAM,YACV,OAAO,aACN,OAAO,KACjB,IAAI,GAAG,KAAK,GAAG;QAAE,KAAK,EAAE,OAAO,CAAC;QAAC,MAAM,EAAE,MAAM,CAAC;QAAC,YAAY,EAAE,MAAM,CAAC;QAAC,UAAU,EAAE,MAAM,CAAA;KAAE;2BA+GhE,MAAM,aAAa,MAAM,cAAc,MAAM,KAAG,KAAK,GAAG,IAAI;oBAqQrE,KAAK,GAAG,IAAI;sBAsBV,OAAO;yBARF,MAAM,KAAG,KAAK,GAAG,IAAI;6BA8BjB,MAAM,KAAG,OAAO;+BAgBd,MAAM,EAAE,KAAG,OAAO;oBAhuD7B,CAAC,QAAQ,KAAK,UAAU,MAAM,CAAC,KAAG,CAAC;yBA0C9B,KAAK,KAAG,IAAI;2BAoBV,KAAK,WAAW,MAAM,IAAI,KAAG,IAAI;gBAwsDxC,IAAI;gBAQJ,IAAI;mBAQD,OAAO;mBAKP,OAAO;;CA2LmB,CAAC;AAErD,eAAe,SAAS,CAAC"}
\ No newline at end of file
diff --git a/dist/core/DataModel.js b/dist/core/DataModel.js
index 21683fea..48668e5e 100644
--- a/dist/core/DataModel.js
+++ b/dist/core/DataModel.js
@@ -9,6 +9,7 @@ import { parseModel } from '../datamodel/parser/ModelParser.js';
 import { parseMat } from '../datamodel/parser/MatParser.js';
 import { parseProject } from '../datamodel/parser/ProjectParser.js';
 import { serializeBinarySldd } from '../datamodel/parser/BinarySlddSerializer.js';
+import { serializeMatFile } from '../datamodel/parser/MatFileWriter.js';
 import { catalogFunctionRenames, catalogRenames, scJsonTextWithRenames } from '../datamodel/parser/ScCatalog.js';
 // The name reductions and the expression reading, from the leaf modules that hold the
 // single copy of each. This file used to spell all three itself; the usage index needs
@@ -19,7 +20,7 @@ import { blockKey, blockLabel, joinBlockPath } from '../datamodel/blockIdentity.
 import { maskDefining } from '../datamodel/maskScope.js';
 import { normalizeRefNames } from '../datamodel/parser/SlddContent.js';
 import RowCellPool from '../datamodel/node/RowCellPool.js';
-import { propNamed } from '../datamodel/node/BaseNode.js';
+import { propNamed, sourceEditRefusal } from '../datamodel/node/BaseNode.js';
 import { holdersRestorer } from '../datamodel/node/childEdit.js';
 // The session's own vocabulary — what a caller passes in and what these functions hand
 // back — and the compiler that turns one of those types, FindNodesQuery, into the tests
@@ -1614,6 +1615,21 @@ export function createSession(opts = {}) {
         if (typeof newValue === 'string' && newValue === priorValue) {
             return true;
         }
+        // An edit the node's source would not write is refused before any setter is asked
+        // (BaseNode.sourceEditRefusal): a MAT-file's object, say, takes a rename and nothing else.
+        // Every setter asks the same rule (DataNode._refuseEncodedEdit); this is for one that does
+        // not, of a class a file can hold.
+        const prop = propNamed(node.getProperties(), propertyName);
+        const isName = propertyName === 'Name' || prop?.key === 'Name';
+        const refused = sourceEditRefusal(node, isName ? 'Name' : prop?.key ?? propertyName);
+        if (refused) {
+            return {
+                error: true,
+                reason: refused,
+                invalidValue: String(newValue),
+                validValue: isName ? node.name : typeof priorValue === 'string' ? priorValue : node.displayValue,
+            };
+        }
         // Unless the node can put the value back itself, which the undo then has it do: the text
         // it shows is not always its value (an empty's `[ ]` is a 0x0 double, whatever it was).
         const restore = propertyRestorer(node, propertyName);
@@ -1669,13 +1685,17 @@ export function createSession(opts = {}) {
     // entry is named `entryName`, or the class's default name, with a counter appended if
     // that name is taken. Returns null, and adds nothing and records no undo step, when
     // there is no active dictionary, no section takes the class, or the name is not one
-    // MATLAB can load (see SectionNode.addEntry): the same rule a rename applies.
+    // MATLAB can load (see SectionNode.addEntry): the same rule a rename applies. A MAT-file
+    // takes a plain variable, the double 0 named `var` (MatNode.execAddEntry), and nothing its
+    // save could not write.
     function addEntry(sectionKey, className, entryName) {
         const slddNode = getActiveSlddNode();
         if (!slddNode) {
             return null;
         }
-        let section = slddNode.getSection(sectionKey);
+        // A MAT-file has no sections: its variables are its own children, so it takes the entry
+        // itself, whatever `sectionKey` says (MatNode.execAddEntry: a plain variable, `0`).
+        let section = slddNode instanceof MatNode ? slddNode : slddNode.getSection(sectionKey);
         if (!section) {
             // When at root (sectionKey='sldd'), find the section that accepts this className
             for (const child of slddNode.children) {
@@ -2049,16 +2069,18 @@ export function createSession(opts = {}) {
      *
      * Null for two distinct absences, deliberately given the same answer: a srcId the
      * session does not hold (the same answer getDataSource gives the same question), and
-     * a source whose format HAS no write path. `.slx`, `.mdl`, `.mat` and `.prj` are
-     * read-only in this package — only `.sldd` has a writer, and only that writer has a
-     * live MATLAB gate behind it. Null rather than a throw because a consumer enumerating
-     * every open source to find the saveable ones should not need a try/catch per source,
-     * and because there is nothing exceptional about a project file not being writable.
+     * a source whose format HAS no write path. `.slx`, `.mdl` and `.prj` are read-only in
+     * this package — `.sldd` and `.mat` have writers. Null rather than a throw because a
+     * consumer enumerating every open source to find the saveable ones should not need a
+     * try/catch per source, and because there is nothing exceptional about a project file
+     * not being writable.
      *
      * Throws for a value in it that no writer may write: one past the unbacked-bytes budget, as
      * a MatBudgetError naming the entry, the path in it and the budget (MatWriter.budgetFailure).
      * Nothing is returned then — no part of a file — and nothing in the session changes, so the
-     * save after the value is fixed or removed is the save there would have been.
+     * save after the value is fixed or removed is the save there would have been. A `.mat` save
+     * throws a MatWriteError the same way, naming the variable or the file, for anything it
+     * cannot write as what it is (MatFileWriter.serializeMatFile).
      *
      * The flavour follows the FILE, not a default: a `.sldd` that arrived as a
      * compressed-binary package is answered with zip bytes and one that arrived as JSON
@@ -2071,6 +2093,13 @@ export function createSession(opts = {}) {
         if (!source) {
             return null;
         }
+        // A MAT-file is written as its own records, what was edited written fresh, and is
+        // binary whatever its records are, compressed (`-v7`) or not (`-v6`). An instanceof
+        // for the reason the dictionary's is below: serializeMatFile reaches for the records
+        // and the node bound to each, which only a MatNode built from a parse holds.
+        if (source instanceof MatNode) {
+            return { kind: 'binary', sourceFormat: source.sourceFormat, bytes: serializeMatFile(source) };
+        }
         // An instanceof rather than a duck test on serializeJson: serializeBinarySldd
         // reaches for _zipMetadata and _dataSourceAttrs, so a lookalike that merely
         // answers the same method names would be handed to a writer built for the class.
diff --git a/dist/core/DataModel.js.map b/dist/core/DataModel.js.map
index ff943285..75d27049 100644
--- a/dist/core/DataModel.js.map
+++ b/dist/core/DataModel.js.map
@@ -1 +1 @@
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\ No newline at end of file
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\ No newline at end of file
diff --git a/dist/core/sessionTypes.d.ts b/dist/core/sessionTypes.d.ts
index 1e380337..2cd99a07 100644
--- a/dist/core/sessionTypes.d.ts
+++ b/dist/core/sessionTypes.d.ts
@@ -16,8 +16,8 @@ export interface CreateSessionOptions {
  *
  * `sourceFormat` is the source node's OWN format string — the same vocabulary
  * SourceDTO.sourceFormat publishes ('json' for a textual `.sldd`, 'xml' for a
- * compressed-binary one) — so a consumer can correlate the two without a mapping
- * table of its own.
+ * compressed-binary one, 'mat' for a MAT-file, which is always `binary`) — so a
+ * consumer can correlate the two without a mapping table of its own.
  */
 export type SerializedSource = {
     kind: 'binary';
diff --git a/dist/datamodel/node/BaseNode.d.ts b/dist/datamodel/node/BaseNode.d.ts
index afa3c07a..f0617148 100644
--- a/dist/datamodel/node/BaseNode.d.ts
+++ b/dist/datamodel/node/BaseNode.d.ts
@@ -128,6 +128,22 @@ export type ElementSubscript = {
  * `_encoded`, so the walk stops at the first container and answers null for them.
  */
 export declare function encodedHolderOf(node: BaseNode | null | undefined): BaseNode | null;
+/**
+ * Why the source `node` is in refuses an edit of `key` at `node`, in words, or null where it
+ * takes it. `key` is 'Name' for the node's own name, and the property's key for anything else,
+ * 'Value' for a child added or removed.
+ *
+ * A source answers for itself, through the first container above the node, which an entry is a
+ * child of: a MAT-file, whose save writes only some edits (MatNode._editRefusal). A dictionary's
+ * section and a model's do not answer, and take every edit their nodes take. Asked by every
+ * editability getter below, by the structural gates (DataNode._encodedReadOnly), by the setters
+ * (DataNode._refuseEncodedEdit, the rename) and by the session's editProperty, so that what the
+ * table offers and what an edit is taken for are one answer. Duck-typed, as encodedHolderOf is:
+ * this class imports no container.
+ */
+export declare function sourceEditRefusal(node: BaseNode, key: string): string | null;
+/** A source's answer to sourceEditRefusal, for `node`, which is `entry` or a node under it. */
+export type SourceEditRefusal = (entry: BaseNode, node: BaseNode, key: string) => string | null;
 /**
  * The prop in `props` that an edit naming `name` is an edit of: the one whose key or column is
  * `name`, which is how an edit committed in the 'Value' column reaches the atom that owns it (a
diff --git a/dist/datamodel/node/BaseNode.d.ts.map b/dist/datamodel/node/BaseNode.d.ts.map
index 3351da2a..6eb9fcc7 100644
--- a/dist/datamodel/node/BaseNode.d.ts.map
+++ b/dist/datamodel/node/BaseNode.d.ts.map
@@ -1 +1 @@
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+{"version":3,"file":"BaseNode.d.ts","sourceRoot":"","sources":["../../../src/datamodel/node/BaseNode.ts"],"names":[],"mappings":"AAMA,OAAO,KAAK,EAAE,OAAO,EAAE,YAAY,EAAE,MAAM,yBAAyB,CAAC;AACrE,OAAO,KAAK,WAAW,MAAM,kBAAkB,CAAC;AAGhD,MAAM,WAAW,SAAS;IACxB,GAAG,EAAE,MAAM,CAAC;IACZ,WAAW,EAAE,MAAM,CAAC;IACpB,MAAM,CAAC,EAAE,MAAM,GAAG,IAAI,CAAC;IACvB,MAAM,EAAE,MAAM,CAAC;IACf,YAAY,CAAC,EAAE,MAAM,CAAC;IACtB,SAAS,CAAC,EAAE,CAAC,IAAI,EAAE,QAAQ,KAAK,MAAM,CAAC;IACvC,WAAW,CAAC,EAAE,CAAC,IAAI,EAAE,QAAQ,KAAK,MAAM,EAAE,CAAC;IAM3C,QAAQ,CAAC,EAAE,CAAC,IAAI,EAAE,MAAM,KAAK,MAAM,CAAC;IAIpC,UAAU,CAAC,EAAE,MAAM,EAAE,CAAC;IACtB,MAAM,EAAE,CAAC,KAAK,EAAE,OAAO,KAAK,MAAM,CAAC;IAKnC,WAAW,CAAC,EAAE,CAAC,IAAI,EAAE,QAAQ,KAAK,OAAO,CAAC;CAC3C;AAED,MAAM,WAAW,QAAQ;IACvB,GAAG,EAAE,MAAM,CAAC;IACZ,WAAW,EAAE,MAAM,CAAC;IACpB,KAAK,EAAE,OAAO,CAAC;IACf,YAAY,EAAE,MAAM,CAAC;IACrB,QAAQ,EAAE,OAAO,CAAC;IAClB,MAAM,EAAE,MAAM,CAAC;IACf,OAAO,CAAC,EAAE,MAAM,EAAE,CAAC;CACpB;AAED,MAAM,WAAW,OAAO;IACtB,EAAE,EAAE,MAAM,CAAC;IACX,MAAM,EAAE,MAAM,GAAG,IAAI,CAAC;IACtB,MAAM,EAAE,MAAM,CAAC;IAMf,IAAI,CAAC,EAAE;QAAE,KAAK,EAAE,MAAM,CAAC;QAAC,MAAM,EAAE,MAAM,CAAC;QAAC,QAAQ,EAAE,OAAO,CAAC;QAAC,QAAQ,EAAE,OAAO,CAAC;QAAC,OAAO,EAAE,OAAO,CAAA;KAAE,CAAC;IACjG,KAAK,CAAC,EAAE,OAAO,CAAC;IAChB,cAAc,CAAC,EAAE,OAAO,CAAC;IAIzB,oBAAoB,CAAC,EAAE,OAAO,CAAC;IAQ/B,QAAQ,CAAC,EAAE,MAAM,GAAG;QAAE,MAAM,CAAC,EAAE,MAAM,CAAC;QAAC,IAAI,EAAE,MAAM,CAAC;QAAC,UAAU,CAAC,EAAE,MAAM,CAAA;KAAE,CAAC;IAC3E,KAAK,CAAC,EAAE,MAAM,CAAC;IACf,IAAI,CAAC,EAAE,MAAM,CAAC;IACd,WAAW,CAAC,EAAE,MAAM,CAAC;IAKrB,MAAM,CAAC,EAAE,MAAM,GAAG;QAAE,IAAI,EAAE,MAAM,CAAC;QAAC,UAAU,CAAC,EAAE,MAAM,CAAA;KAAE,GAAG;QAAE,KAAK,EAAE;YAAE,IAAI,EAAE,MAAM,CAAC;YAAC,UAAU,EAAE,MAAM,CAAA;SAAE,EAAE,CAAA;KAAE,CAAC;IAC5G,CAAC,GAAG,EAAE,MAAM,GAAG,OAAO,CAAC;CACxB;AAED;;;;;;;;;;;;;;;;;GAiBG;AACH,MAAM,MAAM,aAAa,GAAG,CAAC,MAAM,EAAE,MAAM,KAAK;IAAE,SAAS,EAAE,MAAM,CAAC;IAAC,UAAU,EAAE,MAAM,CAAA;CAAE,EAAE,CAAC;AAE5F;;;;;;;;;;;;;;GAcG;AACH,MAAM,MAAM,gBAAgB,GAAG,CAAC,QAAQ,EAAE,MAAM,KAAK,MAAM,GAAG,IAAI,CAAC;AAEnE,MAAM,WAAW,UAAU;IACzB,KAAK,EAAE,MAAM,CAAC;IACd,KAAK,EAAE,SAAS,EAAE,CAAC;CACpB;AAED,MAAM,WAAW,QAAQ;IACvB,aAAa,EAAE;QAAE,UAAU,EAAE,OAAO,EAAE,CAAC;QAAC,MAAM,EAAE,OAAO,EAAE,CAAA;KAAE,CAAC;IAC5D,OAAO,EAAE,OAAO,EAAE,CAAC;IACnB,UAAU,EAAE,OAAO,CAAC;IACpB,gBAAgB,EAAE,OAAO,CAAC;CAC3B;AAkBD,MAAM,MAAM,kBAAkB,GAAG,QAAQ,GAAG,OAAO,GAAG,MAAM,GAAG,QAAQ,CAAC;AAmBxE,MAAM,MAAM,gBAAgB,GACxB;IAAE,KAAK,EAAE,MAAM,CAAC;IAAC,IAAI,EAAE,MAAM,EAAE,GAAG,SAAS,CAAC;IAAC,KAAK,EAAE,YAAY,CAAC;IAAC,OAAO,EAAE,OAAO,CAAA;CAAE,GACpF;IAAE,EAAE,EAAE,MAAM,EAAE,CAAC;IAAC,OAAO,EAAE,OAAO,CAAA;CAAE,CAAC;AAEvC;;;;;;;;;;GAUG;AACH,wBAAgB,eAAe,CAAC,IAAI,EAAE,QAAQ,GAAG,IAAI,GAAG,SAAS,GAAG,QAAQ,GAAG,IAAI,CAOlF;AAED;;;;;;;;;;;;GAYG;AACH,wBAAgB,iBAAiB,CAAC,IAAI,EAAE,QAAQ,EAAE,GAAG,EAAE,MAAM,GAAG,MAAM,GAAG,IAAI,CAS5E;AAED,+FAA+F;AAC/F,MAAM,MAAM,iBAAiB,GAAG,CAAC,KAAK,EAAE,QAAQ,EAAE,IAAI,EAAE,QAAQ,EAAE,GAAG,EAAE,MAAM,KAAK,MAAM,GAAG,IAAI,CAAC;AAEhG;;;;;;;;;GASG;AACH,wBAAgB,SAAS,CAAC,KAAK,EAAE,SAAS,EAAE,EAAE,IAAI,EAAE,MAAM,GAAG,SAAS,GAAG,SAAS,CAEjF;AAED,MAAM,CAAC,OAAO,OAAO,QAAQ;IAC3B,IAAI,EAAE,MAAM,CAAC;IACb,MAAM,EAAE,QAAQ,GAAG,IAAI,CAAC;IACxB,QAAQ,EAAE,QAAQ,EAAE,CAAC;IACrB,YAAY,CAAC,EAAE,MAAM,CAAC;IACtB,UAAU,CAAC,EAAE,gBAAgB,CAAC;IAC9B,KAAK,CAAC,EAAE,kBAAkB,CAAC;IAC3B,KAAK,CAAC,EAAE,MAAM,EAAE,CAAC;IAIjB,UAAU,CAAC,EAAE;QAAE,KAAK,EAAE,MAAM,CAAC;QAAC,IAAI,EAAE,MAAM,CAAA;KAAE,CAAC;gBAEjC,IAAI,EAAE,MAAM,EAAE,MAAM,EAAE,QAAQ,GAAG,IAAI;IAMjD,IAAI,EAAE,IAAI,MAAM,CAEf;IAED,IAAI,IAAI,IAAI,MAAM,CAEjB;IAID,IAAI,SAAS,IAAI,MAAM,CAEtB;IAKD,YAAY,IAAI,MAAM;IAMtB,IAAI,IAAI,IAAI,MAAM,CAEjB;IAKD,IAAI,QAAQ,IAAI,MAAM,CAErB;IAED,IAAI,YAAY,IAAI,MAAM,CAEzB;IAED,IAAI,QAAQ,IAAI,OAAO,CAEtB;IAID,IAAI,aAAa,IAAI,OAAO,CAK3B;IAQD,IAAI,aAAa,IAAI,OAAO,CAE3B;IAQD,IAAI,mBAAmB,IAAI,OAAO,CAEjC;IAOD,IAAI,eAAe,IAAI,OAAO,CAE7B;IAED,IAAI,YAAY,IAAI,OAAO,CAsB1B;IAQD,qBAAqB,CAAC,MAAM,EAAE,QAAQ,GAAG,IAAI;IAO7C,sBAAsB,CAAC,MAAM,EAAE,QAAQ,GAAG,CAAC,MAAM,IAAI,CAAC,GAAG,IAAI;IAI7D,WAAW,IAAI,OAAO;IAItB,YAAY,IAAI,QAAQ,GAAG,IAAI;IAI/B,QAAQ,CAAC,KAAK,EAAE,QAAQ,EAAE,KAAK,CAAC,EAAE,MAAM,GAAG,QAAQ;IAenD,WAAW,CAAC,KAAK,EAAE,QAAQ,GAAG,IAAI;IAUlC,YAAY,CAAC,OAAO,EAAE,QAAQ,GAAG,OAAO;IA+BxC,wBAAwB,IAAI,IAAI;IAchC,gBAAgB,IAAI,IAAI;IA+CxB,WAAW,IAAI,OAAO,CAAC,QAAQ,CAAC,GAAG,SAAS;IAkC5C,aAAa,CAAC,QAAQ,EAAE,OAAO,GAAG,OAAO,CAAC,UAAU,CAAC,GAAG,SAAS;IAejE,OAAO,IAAI,QAAQ,EAAE;IA+BrB,OAAO,CAAC,kBAAkB;IAS1B,IAAI,WAAW,IAAI,MAAM,CAGxB;IAED;;;;;OAKG;IACH,IAAI,UAAU,IAAI,MAAM,CASvB;IAED;;;;OAIG;IACH,WAAW,CAAC,WAAW,EAAE,MAAM,MAAM,GAAG,MAAM,GAAG,IAAI;IA0CrD,IAAI,aAAa,IAAI,OAAO,CAW3B;IAgBD,IAAI,mBAAmB,IAAI,OAAO,CAEjC;IAED,WAAW,CAAC,YAAY,EAAE,SAAS,GAAG,QAAQ;IAsD9C,KAAK,CAAC,IAAI,CAAC,EAAE,WAAW,GAAG,OAAO,GAAG,IAAI;IA8FzC,aAAa,IAAI,SAAS,EAAE;IAW5B,WAAW,IAAI,UAAU,EAAE,GAAG,IAAI;IAIlC,UAAU,IAAI,QAAQ,GAAG,IAAI;IAmH7B,SAAS,IAAI,OAAO;CAGrB"}
\ No newline at end of file
diff --git a/dist/datamodel/node/BaseNode.js b/dist/datamodel/node/BaseNode.js
index e133961e..3178a046 100644
--- a/dist/datamodel/node/BaseNode.js
+++ b/dist/datamodel/node/BaseNode.js
@@ -28,6 +28,29 @@ export function encodedHolderOf(node) {
     }
     return null;
 }
+/**
+ * Why the source `node` is in refuses an edit of `key` at `node`, in words, or null where it
+ * takes it. `key` is 'Name' for the node's own name, and the property's key for anything else,
+ * 'Value' for a child added or removed.
+ *
+ * A source answers for itself, through the first container above the node, which an entry is a
+ * child of: a MAT-file, whose save writes only some edits (MatNode._editRefusal). A dictionary's
+ * section and a model's do not answer, and take every edit their nodes take. Asked by every
+ * editability getter below, by the structural gates (DataNode._encodedReadOnly), by the setters
+ * (DataNode._refuseEncodedEdit, the rename) and by the session's editProperty, so that what the
+ * table offers and what an edit is taken for are one answer. Duck-typed, as encodedHolderOf is:
+ * this class imports no container.
+ */
+export function sourceEditRefusal(node, key) {
+    let entry = null;
+    let n = node;
+    while (n && !n.isContainer) {
+        entry = n;
+        n = n.parent;
+    }
+    const refuse = n?._editRefusal;
+    return entry && typeof refuse === 'function' ? refuse.call(n, entry, node, key) : null;
+}
 /**
  * The prop in `props` that an edit naming `name` is an edit of: the one whose key or column is
  * `name`, which is how an edit committed in the 'Value' column reaches the atom that owns it (a
@@ -133,7 +156,8 @@ export default class BaseNode {
         if (this.parent?.fixesChildNames) {
             return false;
         }
-        return true;
+        // Nor a name its source would not write (sourceEditRefusal).
+        return !sourceEditRefusal(this, 'Name');
     }
     // Called on a node after a structural edit added or removed a child of `child`
     // — i.e. one of ITS children changed shape, not this node's own list. Every node
@@ -232,6 +256,11 @@ export default class BaseNode {
         if (source.dirty !== undefined) {
             source.dirty = true;
         }
+        // And a source that keeps what it found of each of its entries is told which node changed,
+        // so that it forgets what it found of that node's entry, and of no other (MatNode._nodeEdited).
+        if (typeof source._nodeEdited === 'function') {
+            source._nodeEdited(this);
+        }
         // Every mutation reaches here, so this is where a rename — the edit that actually moves
         // a link — is caught. A value edit drops the index too, needlessly; the rebuild rides
         // the row build that edit was already going to cause.
@@ -416,7 +445,8 @@ export default class BaseNode {
         if (v && v.charAt(0) === '<' && v.charAt(v.length - 1) === '>') {
             return false;
         }
-        return true;
+        // Nor a value its source would not write (sourceEditRefusal).
+        return !sourceEditRefusal(this, 'Value');
     }
     // Whether a Description typed onto this row could be SAVED — the third member of the
     // nameEditable/valueEditable family, and one for the same reason: the Description
@@ -433,7 +463,7 @@ export default class BaseNode {
     // Parameter whose value displays as a `<1x12 double>` summary takes no value editor
     // and can still be described.
     get descriptionEditable() {
-        return !encodedHolderOf(this);
+        return !encodedHolderOf(this) && !sourceEditRefusal(this, 'Description');
     }
     getPropInfo(PropClassRef) {
         const key = PropClassRef.key;
@@ -466,6 +496,12 @@ export default class BaseNode {
         if (key !== 'Name' && encodedHolderOf(this)) {
             editable = false;
         }
+        // And any its source would not write (sourceEditRefusal), the Name included: asked last,
+        // and only of a property every rule above leaves editable, as it is the one that walks to
+        // the source.
+        if (editable && sourceEditRefusal(this, key)) {
+            editable = false;
+        }
         return {
             key,
             displayName: PropClassRef.displayName,
diff --git a/dist/datamodel/node/BaseNode.js.map b/dist/datamodel/node/BaseNode.js.map
index c9476bb3..328d5b15 100644
--- a/dist/datamodel/node/BaseNode.js.map
+++ b/dist/datamodel/node/BaseNode.js.map
@@ -1 +1 @@
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\ No newline at end of file
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\ No newline at end of file
diff --git a/dist/datamodel/node/DataNode.d.ts b/dist/datamodel/node/DataNode.d.ts
index a3a75f9b..0c5dc3fd 100644
--- a/dist/datamodel/node/DataNode.d.ts
+++ b/dist/datamodel/node/DataNode.d.ts
@@ -125,6 +125,7 @@ export default class DataNode extends BaseNode {
     Description?: string;
     _rawInput?: unknown;
     _encoded?: EncodedValue;
+    _valueEdited?: boolean;
     rawXml?: string;
     classification?: string;
     constructor(name: string, parent: BaseNode | null, serial?: Record<string, unknown>);
@@ -165,7 +166,7 @@ export default class DataNode extends BaseNode {
     execAddChild(): ChildAddEdit | null;
     execRemoveChild(_child?: BaseNode): ChildUndoRedo | null;
     _renameField(from: string, to: string): void;
-    _markModified(): void;
+    _markModified(edit?: 'value' | 'name'): void;
     _stampLastModified(): void;
     /**
      * What puts this node back as it stands now: every own field but those in `leaves`, and its
@@ -362,11 +363,19 @@ export default class DataNode extends BaseNode {
      */
     _shapeAfterChildEdit(_op: 'add' | 'remove'): ValueShape | null;
     /**
-     * Is this node at or under one whose value is still an encoded stream? The structural
-     * gates (canAddChild, canRemoveChild) of every class that has them ask this, for the
-     * reason _refuseEncodedEdit gives: a child added or removed there could not reach the file.
+     * Is this node at or under one whose value is still an encoded stream, or one whose source
+     * would not write a change to it (BaseNode.sourceEditRefusal: a MAT-file's object, say)? The
+     * structural gates (canAddChild, canRemoveChild) of every class that has them ask this, for
+     * the reason _refuseEncodedEdit gives: a child added or removed there could not reach the file.
      */
     get _encodedReadOnly(): boolean;
+    /**
+     * The refusal of an edit of `propName` at or under a value still in the encoded stream it was
+     * read from, but for the holder's own name, or of one this node's source would not write
+     * (BaseNode.sourceEditRefusal), in its words; null where the edit may go ahead. Asked first by
+     * the setter of every class that has one, so that no setter takes what the table offers no
+     * editor for.
+     */
     _refuseEncodedEdit(propName: string, stringValue: string): SetPropertyResult | null;
     /**
      * Does this object's value hold its properties beside its class, with no element (SER-TE)?
diff --git a/dist/datamodel/node/DataNode.d.ts.map b/dist/datamodel/node/DataNode.d.ts.map
index 1efd44e4..4f191a93 100644
--- a/dist/datamodel/node/DataNode.d.ts.map
+++ b/dist/datamodel/node/DataNode.d.ts.map
@@ -1 +1 @@
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\ No newline at end of file
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\ No newline at end of file
diff --git a/dist/datamodel/node/DataNode.js b/dist/datamodel/node/DataNode.js
index 34846077..2f1f544c 100644
--- a/dist/datamodel/node/DataNode.js
+++ b/dist/datamodel/node/DataNode.js
@@ -1,5 +1,5 @@
 // Copyright 2026 The MathWorks, Inc.
-import BaseNode, { encodedHolderOf, propNamed } from './BaseNode.js';
+import BaseNode, { encodedHolderOf, propNamed, sourceEditRefusal } from './BaseNode.js';
 import { trySetSchemaProperty } from './schemaBridge.js';
 import NodeRegistry from './NodeRegistry.js';
 import { isMatCdata } from '../parser/CdataCodec.js';
@@ -397,10 +397,13 @@ export default class DataNode extends BaseNode {
             // something asks for it directly — renaming a Simulink.Parameter's `Value` row was
             // exactly that, accepted by the model and dropped by serialize, which writes the
             // key `Value` whatever the node is called.
+            // Said as the source says it, when it is the source that refuses (BaseNode.sourceEditRefusal:
+            // a MAT-file's variable stored after its subsystem), which _refuseEncodedEdit has asked
+            // already for every class whose setter comes here first.
             if (!this.nameEditable) {
                 return {
                     error: true,
-                    reason: `'${this.displayName}' is not a name this entry can carry, so it cannot be renamed.`,
+                    reason: sourceEditRefusal(this, 'Name') ?? `'${this.displayName}' is not a name this entry can carry, so it cannot be renamed.`,
                     invalidValue: stringValue,
                     validValue: this.displayName,
                 };
@@ -422,14 +425,24 @@ export default class DataNode extends BaseNode {
                 const duplicate = typeof nsHolds === 'function'
                     ? stringValue !== this.name && nsHolds.call(this.parent, stringValue) > 0
                     : this.parent.children.some((sibling) => sibling !== this && sibling.name === stringValue);
+                // Said of where the names are one namespace: a dictionary's Design and Architectural
+                // Data, or a MAT-file, which names itself (MatNode._namespaceLabel).
                 if (duplicate) {
+                    const where = this.parent._namespaceLabel ?? 'Design or Architectural Data';
                     return {
                         error: true,
-                        reason: "'" + stringValue + "' already exists in Design or Architectural Data",
+                        reason: "'" + stringValue + "' already exists in " + where,
                         invalidValue: stringValue,
                         validValue: this.name,
                     };
                 }
+                // And a name the parent could not write: a MAT-file's variable whose record is not one
+                // whole element, whose name its save has nowhere to put (MatNode._renameRefusal).
+                const renameRefusal = this.parent._renameRefusal;
+                const refused = typeof renameRefusal === 'function' ? renameRefusal.call(this.parent, this) : null;
+                if (refused) {
+                    return { error: true, reason: refused, invalidValue: stringValue, validValue: this.name };
+                }
             }
             const oldName = this.name;
             this.name = stringValue;
@@ -468,7 +481,7 @@ export default class DataNode extends BaseNode {
             // Class="double" element, which made MATLAB refuse to open the whole file.
             const encoded = this._encoded;
             const raw = this._rawInput;
-            this._markModified();
+            this._markModified('name');
             this._encoded = encoded;
             this._rawInput = raw;
             return true;
@@ -657,7 +670,11 @@ export default class DataNode extends BaseNode {
     // edit below it on save. A value read from a stream is read-only (_refuseEncodedEdit and
     // BaseNode's editability), so nothing should reach here from inside one; this is the
     // second line, for whatever does. The rename that keeps it is DataNode.setProperty's.
-    _markModified() {
+    //
+    // `edit` is 'name' for that rename, and only for it. An entry's own rename leaves its value
+    // as it was, and every other edit marks the entry `_valueEdited`; so does the rename of
+    // anything under it, a struct's field, which changes the entry's value.
+    _markModified(edit = 'value') {
         const entry = this.owningEntry;
         for (let node = this; node && node !== entry; node = node.parent) {
             if (node._rawInput !== undefined) {
@@ -669,6 +686,9 @@ export default class DataNode extends BaseNode {
         }
         if (entry) {
             entry.status = 'Modified';
+            if (edit !== 'name' || entry !== this) {
+                entry._valueEdited = true;
+            }
             if (entry._rawInput !== undefined) {
                 entry._rawInput = undefined;
             }
@@ -1103,28 +1123,38 @@ export default class DataNode extends BaseNode {
         return null;
     }
     /**
-     * Is this node at or under one whose value is still an encoded stream? The structural
-     * gates (canAddChild, canRemoveChild) of every class that has them ask this, for the
-     * reason _refuseEncodedEdit gives: a child added or removed there could not reach the file.
+     * Is this node at or under one whose value is still an encoded stream, or one whose source
+     * would not write a change to it (BaseNode.sourceEditRefusal: a MAT-file's object, say)? The
+     * structural gates (canAddChild, canRemoveChild) of every class that has them ask this, for
+     * the reason _refuseEncodedEdit gives: a child added or removed there could not reach the file.
      */
     get _encodedReadOnly() {
-        return !!encodedHolderOf(this);
+        return !!encodedHolderOf(this) || !!sourceEditRefusal(this, 'Value');
     }
+    /**
+     * The refusal of an edit of `propName` at or under a value still in the encoded stream it was
+     * read from, but for the holder's own name, or of one this node's source would not write
+     * (BaseNode.sourceEditRefusal), in its words; null where the edit may go ahead. Asked first by
+     * the setter of every class that has one, so that no setter takes what the table offers no
+     * editor for.
+     */
     _refuseEncodedEdit(propName, stringValue) {
+        const isName = this._resolveProperty(propName) === 'name';
         const holder = encodedHolderOf(this);
-        if (!holder) {
-            return null;
+        if (holder && !(holder === this && isName)) {
+            return {
+                error: true,
+                reason: `'${holder.displayName}' is stored as an encoded MATLAB value that this editor can show but not write, ` +
+                    'so it is read-only.',
+                invalidValue: stringValue,
+                validValue: isName ? this.name : this.displayValue,
+            };
         }
-        if (holder === this && this._resolveProperty(propName) === 'name') {
-            return null;
+        const refused = sourceEditRefusal(this, isName ? 'Name' : this._propFor(propName)?.key ?? propName);
+        if (refused) {
+            return { error: true, reason: refused, invalidValue: stringValue, validValue: isName ? this.name : this.displayValue };
         }
-        return {
-            error: true,
-            reason: `'${holder.displayName}' is stored as an encoded MATLAB value that this editor can show but not write, ` +
-                'so it is read-only.',
-            invalidValue: stringValue,
-            validValue: this._resolveProperty(propName) === 'name' ? this.name : this.displayValue,
-        };
+        return null;
     }
     /**
      * Does this object's value hold its properties beside its class, with no element (SER-TE)?
diff --git a/dist/datamodel/node/DataNode.js.map b/dist/datamodel/node/DataNode.js.map
index 0e533aa0..8fa4d75b 100644
--- a/dist/datamodel/node/DataNode.js.map
+++ b/dist/datamodel/node/DataNode.js.map
@@ -1 +1 @@
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\ No newline at end of file
diff --git a/dist/datamodel/node/container/MatNode.d.ts b/dist/datamodel/node/container/MatNode.d.ts
index 53571ce0..db3e3a0d 100644
--- a/dist/datamodel/node/container/MatNode.d.ts
+++ b/dist/datamodel/node/container/MatNode.d.ts
@@ -3,40 +3,136 @@ import type BaseNode from '../BaseNode.js';
 import type { PropClass, PIGroupDef } from '../BaseNode.js';
 import type { MatVariable } from '../data/MatlabVariableNode.js';
 import type { ParseWarning } from '../../parser/ParseWarning.js';
+import type { MatRecord, ParsedMat } from '../../parser/MatParser.js';
+export type MatParse = Pick<ParsedMat, 'header' | 'variables'> & Partial<Pick<ParsedMat, 'warnings' | 'headerBytes' | 'subsystemOffset' | 'records' | 'framed' | 'unframed'>>;
 export default class MatNode extends ContainerNode {
     header: string;
     dirty: boolean;
     _anonymousElements: MatVariable[];
+    headerBytes: Uint8Array | null;
+    records: MatRecord[] | null;
+    subsystemOffset: number;
+    framed: boolean;
+    unframed: {
+        at: number;
+        reason: string;
+    } | null;
+    _recordNodes: Map<MatRecord, BaseNode>;
+    _nodeRecords: Map<BaseNode, MatRecord>;
+    _fileVerdict: string | null | undefined;
+    _subsystem: MatRecord | null | undefined;
+    _valueVerdicts: WeakMap<BaseNode, string | null>;
+    _nameCounts: Map<string, number> | null;
+    _countedAt: number;
+    _entriesVersion: number;
     constructor(name: string);
+    /**
+     * The record `node` was read from, or null for a node no record became: a variable added
+     * since the file was read, or any node of a tree with no records (`records` null).
+     */
+    recordOf(node: BaseNode): MatRecord | null;
+    /**
+     * The node `record` became, whether or not it is still in the tree (a deleted one's
+     * `parent` is not this), or null for a record that became no node: the subsystem or
+     * another unnamed element (`_anonymousElements`), and a record the reader dropped.
+     */
+    nodeOf(record: MatRecord): BaseNode | null;
     get displayName(): string;
     get readOnly(): boolean;
+    _nodeEdited(node: BaseNode): void;
+    addChild(child: BaseNode, index?: number): BaseNode;
+    removeChild(child: BaseNode): void;
+    _entryRenamed(oldName: string, newName: string): void;
+    _entriesMoved(gone: string | null, came: string | null): void;
+    /**
+     * Why an edit of `key` at `node`, which is `entry` or a node under it, is refused, as a
+     * message naming the variable or the file, or null where a save of this file writes it.
+     * `key` is 'Name' for `node`'s own name, and a property's key for anything else: 'Value'
+     * for a value typed in, a child added or removed, and an element's or a field's edit.
+     *
+     *   - every edit, of a file no save of which can be written (_fileRefusal), its variables'
+     *     delete and the addition of one included (execRemoveEntry, execAddEntry);
+     *   - every edit of a variable stored after the subsystem, its name included: MATLAB does
+     *     not read it there, and moved, what MATLAB loads would change. It can be deleted;
+     *   - a variable's own name: taken, and written as its record with the name replaced;
+     *   - anything else, which writes the variable fresh: refused where the writer refuses that
+     *     (freshRefusal: an object's typed node, a string, a function handle, a value not
+     *     decoded, and a variable holding one at any depth), or where another variable of the
+     *     file has its name;
+     *   - and Add ('Add', MatlabVariableNode.canAddChild) on a struct that is not 1x1 or is an
+     *     element of one, which is written, but not as the tree shows it. Add gives a struct a
+     *     field row of its own: the rows of a struct array are its elements, so the row was an
+     *     element of no fields the save did not write; a 0x0 struct's field was written with no
+     *     element to hold it, which reads back as no field; and a field added to one element of
+     *     a struct array is written into every element, as MATLAB adds one, `[]` in the others,
+     *     which the tree did not show.
+     *
+     * Phase 2 of the MAT-file save widens the last of these, for the properties of an object it
+     * writes into the subsystem.
+     */
+    _editRefusal(entry: BaseNode, node: BaseNode, key: string): string | null;
+    /**
+     * Why `value`, a node built of the text an edit typed in for `node`, of `entry`, cannot be
+     * written into this file, or null where it can: a string, which MatWriter has no MAT class
+     * for. Asked of the edit before it is made (MatlabVariableNode.setProperty), so that a value
+     * that would leave the variable one a save refuses (freshRefusal) is never taken.
+     */
+    _valueRefusal(entry: BaseNode, node: BaseNode, value: BaseNode): string | null;
+    /**
+     * Why `node`, a variable of this file, cannot be renamed, or null where it can: its record is not
+     * one whole element whose name a save can replace (MatFileWriter.renameWhy), which only a damaged
+     * file holds. Asked by the rename itself (DataNode.setProperty) and not by the editability
+     * getters, as finding out inflates the record: a rename refused so is refused before it is made.
+     */
+    _renameRefusal(node: BaseNode): string | null;
+    /** Why no edit of this file is taken, or null (unsavableRefusal, structureRefusal). */
+    _fileRefusal(): string | null;
+    /** The subsystem's record (MatFileWriter.subsystemOf), found once: the records never change. */
+    _subsystemRecord(): MatRecord | null;
+    /**
+     * How many variables of the file a save writes under `name`: the variables in the tree, and
+     * each record that became none (one the reader dropped) under its own name, as a save writes
+     * it (MatFileWriter.refuseDuplicates). A rename into a name another holds is refused for it
+     * (DataNode.setProperty), naming this file (_namespaceLabel).
+     *
+     * Counted when first asked, and moved with every variable added, removed or renamed after
+     * (_entriesMoved), so that a rename costs a lookup and not a count of every name: as a
+     * dictionary's are (SectionNode._namespaceHolds, F1-23).
+     *
+     * A record the reader dropped without a name, one that does not inflate or holds no matrix,
+     * is counted under none: what it would be called is not known, so an added or renamed
+     * variable is not held to it (MatFileWriter.refuseDuplicates, likewise). Every such record
+     * already breaks a rule MATLAB loads a file by (MatFileCheck: `compressed-wrapper`,
+     * `top-level-type`), and for all of them but one past the inflate ceiling that is a rule
+     * MATLAB fails the whole load on: no variable of the file is loaded beside it, whatever its name.
+     */
+    _namespaceHolds(name: string): number;
+    /** Where a rename into a name already held is said to collide (DataNode.setProperty): this file. */
+    get _namespaceLabel(): string;
     get sourceFormat(): string;
     get icon(): string;
     get NumberOfEntries(): number;
     getProperties(): PropClass[];
     getPILayout(): PIGroupDef[];
     getSection(): null;
-    execAddEntry(_className?: string, entryName?: string): {
+    execAddEntry(className?: string, entryName?: string): {
         node: BaseNode;
         undo: () => void;
         redo: () => void;
-    };
+    } | null;
     _uniqueName(baseName: string): string;
     execRemoveEntry(node: BaseNode): {
         undo: () => void;
         redo: () => void;
     } | null;
     getVariables(): MatVariable[];
-    static fromParsed(parsed: {
-        header: string;
-        variables: MatVariable[];
-        warnings?: ParseWarning[];
-    }, filename: string, options?: {
+    static fromParsed(parsed: MatParse, filename: string, options?: {
         nodeCeiling?: number;
     }): MatNode;
+    _bindRecord(child: BaseNode, record: MatRecord | undefined): void;
     static _addVariables(node: MatNode, parsed: {
         variables: MatVariable[];
         warnings?: ParseWarning[];
-    }): void;
+    }, recordOf?: ReadonlyMap<MatVariable, MatRecord> | null): void;
 }
 //# sourceMappingURL=MatNode.d.ts.map
\ No newline at end of file
diff --git a/dist/datamodel/node/container/MatNode.d.ts.map b/dist/datamodel/node/container/MatNode.d.ts.map
index 5d330c01..1352e604 100644
--- a/dist/datamodel/node/container/MatNode.d.ts.map
+++ b/dist/datamodel/node/container/MatNode.d.ts.map
@@ -1 +1 @@
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diff --git a/dist/datamodel/node/container/MatNode.js b/dist/datamodel/node/container/MatNode.js
index 6c00f365..a56f4c8e 100644
--- a/dist/datamodel/node/container/MatNode.js
+++ b/dist/datamodel/node/container/MatNode.js
@@ -8,18 +8,254 @@ import { functionHandleOf } from '../../parser/MatParser.js';
 import PropName from '../../prop/PropName.js';
 import { MAT_NODE_CEILING } from '../../display/DisplayConvention.js';
 import { buildUnderCeiling, buildUncut, chargeNodes } from '../data/matNodeCeiling.js';
+import { PAST_SUBSYSTEM, duplicateWhy, freshRefusal, renameWhy, structureRefusal, subsystemOf, unsavableRefusal, unwritableIn, } from '../../parser/MatFileWriter.js';
+import { validateMatlabName } from '../../matlabName.js';
+import { owningEntryOf } from '../DataNode.js';
+import { basenameOf } from '../../fileKinds.js';
 export default class MatNode extends ContainerNode {
     constructor(name) {
         super(name, null);
         this.header = '';
         this.dirty = false;
+        this._valueVerdicts = new WeakMap();
+        this._nameCounts = null;
+        this._countedAt = -1;
+        this._entriesVersion = 0;
         this._anonymousElements = [];
+        this.headerBytes = null;
+        this.records = null;
+        this.subsystemOffset = 0;
+        this.framed = false;
+        this.unframed = null;
+        this._recordNodes = new Map();
+        this._nodeRecords = new Map();
+    }
+    /**
+     * The record `node` was read from, or null for a node no record became: a variable added
+     * since the file was read, or any node of a tree with no records (`records` null).
+     */
+    recordOf(node) {
+        return this._nodeRecords.get(node) ?? null;
+    }
+    /**
+     * The node `record` became, whether or not it is still in the tree (a deleted one's
+     * `parent` is not this), or null for a record that became no node: the subsystem or
+     * another unnamed element (`_anonymousElements`), and a record the reader dropped.
+     */
+    nodeOf(record) {
+        return this._recordNodes.get(record) ?? null;
     }
     get displayName() {
         return this.name;
     }
+    // Saved by serializeSource (MatFileWriter), so a file is read-only only when no save of it
+    // can be written: opened without its records, its bytes handed away since, its records not
+    // tiling it, or its subsystem not where its header says (_fileRefusal).
     get readOnly() {
-        return true;
+        return this._fileRefusal() !== null;
+    }
+    // An edit of `node`, which is a variable of this file or a node under one (BaseNode.
+    // _markSourceDirty): what the gate found of that variable's value is forgotten, and of no other,
+    // since nothing a save refuses of a value written fresh is about another variable
+    // (freshRefusal). Which names two of them share is counted apart (_namespaceHolds). Forgetting
+    // every variable's at every edit re-walked every variable a table showed after each, and each
+    // of N renames counted N names again.
+    _nodeEdited(node) {
+        const entry = owningEntryOf(node);
+        if (entry && entry.parent === this) {
+            this._valueVerdicts.delete(entry);
+        }
+    }
+    addChild(child, index) {
+        super.addChild(child, index);
+        this._valueVerdicts.delete(child);
+        this._entriesMoved(null, child.name);
+        return child;
+    }
+    removeChild(child) {
+        const before = this.children.length;
+        super.removeChild(child);
+        if (this.children.length < before) {
+            this._valueVerdicts.delete(child);
+            this._entriesMoved(child.name, null);
+        }
+    }
+    // One of my variables renamed (DataNode.setProperty): its name's count moves with it.
+    _entryRenamed(oldName, newName) {
+        this._entriesMoved(oldName, newName);
+    }
+    // A variable of this file stopped being called `gone`, and one started being called `came`
+    // (either null): one removed, added or renamed. The version moves, and the counts, when they
+    // are of the version before, move with it and go on holding.
+    _entriesMoved(gone, came) {
+        const held = this._nameCounts !== null && this._countedAt === this._entriesVersion;
+        this._entriesVersion++;
+        if (!held) {
+            return;
+        }
+        const counts = this._nameCounts;
+        if (gone !== null) {
+            const left = (counts.get(gone) ?? 0) - 1;
+            if (left > 0) {
+                counts.set(gone, left);
+            }
+            else {
+                counts.delete(gone);
+            }
+        }
+        if (came !== null) {
+            counts.set(came, (counts.get(came) ?? 0) + 1);
+        }
+        this._countedAt = this._entriesVersion;
+    }
+    // ---- The edits a save of this file can write ----------------------------------------------
+    //
+    // The editor takes no edit a save of this file would then refuse (MatFileWriter), so that none
+    // is made that cannot be kept: the baseline is that no edit taken is one a save then refuses,
+    // or writes as something else. One rule, this one, asked by every path an edit takes
+    // (BaseNode.sourceEditRefusal): the editors of the table and of the Property Inspector
+    // (BaseNode.getPropInfo, nameEditable, valueEditable, descriptionEditable), the gates of a
+    // child added or removed (DataNode._encodedReadOnly), each class's setter
+    // (DataNode._refuseEncodedEdit, DataNode's rename), and the session's editProperty. Built of the
+    // writer's own refusals (unsavableRefusal, structureRefusal, freshRefusal, PAST_SUBSYSTEM,
+    // duplicateWhy), so that the two cannot come to disagree.
+    /**
+     * Why an edit of `key` at `node`, which is `entry` or a node under it, is refused, as a
+     * message naming the variable or the file, or null where a save of this file writes it.
+     * `key` is 'Name' for `node`'s own name, and a property's key for anything else: 'Value'
+     * for a value typed in, a child added or removed, and an element's or a field's edit.
+     *
+     *   - every edit, of a file no save of which can be written (_fileRefusal), its variables'
+     *     delete and the addition of one included (execRemoveEntry, execAddEntry);
+     *   - every edit of a variable stored after the subsystem, its name included: MATLAB does
+     *     not read it there, and moved, what MATLAB loads would change. It can be deleted;
+     *   - a variable's own name: taken, and written as its record with the name replaced;
+     *   - anything else, which writes the variable fresh: refused where the writer refuses that
+     *     (freshRefusal: an object's typed node, a string, a function handle, a value not
+     *     decoded, and a variable holding one at any depth), or where another variable of the
+     *     file has its name;
+     *   - and Add ('Add', MatlabVariableNode.canAddChild) on a struct that is not 1x1 or is an
+     *     element of one, which is written, but not as the tree shows it. Add gives a struct a
+     *     field row of its own: the rows of a struct array are its elements, so the row was an
+     *     element of no fields the save did not write; a 0x0 struct's field was written with no
+     *     element to hold it, which reads back as no field; and a field added to one element of
+     *     a struct array is written into every element, as MATLAB adds one, `[]` in the others,
+     *     which the tree did not show.
+     *
+     * Phase 2 of the MAT-file save widens the last of these, for the properties of an object it
+     * writes into the subsystem.
+     */
+    _editRefusal(entry, node, key) {
+        const file = this._fileRefusal();
+        if (file) {
+            return file;
+        }
+        const record = this.recordOf(entry);
+        const subsystem = this._subsystemRecord();
+        if (record && subsystem && record.offset > subsystem.offset) {
+            return cannotEdit(entry.name, PAST_SUBSYSTEM);
+        }
+        if (node === entry && (key === 'Name' || key === 'name')) {
+            return null;
+        }
+        let verdict = this._valueVerdicts.get(entry);
+        if (verdict === undefined) {
+            const refused = freshRefusal(entry, record);
+            verdict = refused ? editRefusalOf(refused) : null;
+            this._valueVerdicts.set(entry, verdict);
+        }
+        if (!verdict && this._namespaceHolds(entry.name) > 1) {
+            verdict = cannotEdit(entry.name, duplicateWhy(entry.name));
+        }
+        if (!verdict && key === 'Add') {
+            const array = [node, node.parent].find((n) => isStruct(n) && n._dims.reduce((a, b) => a * b, 1) !== 1);
+            if (array) {
+                return cannotEdit(entry.name, array.matlabPath + ' is a ' + array._dims.join('x') + ' struct, whose fields a save writes into every element of it or none, '
+                    + 'and Add gives one struct a field of its own');
+            }
+        }
+        return verdict;
+    }
+    /**
+     * Why `value`, a node built of the text an edit typed in for `node`, of `entry`, cannot be
+     * written into this file, or null where it can: a string, which MatWriter has no MAT class
+     * for. Asked of the edit before it is made (MatlabVariableNode.setProperty), so that a value
+     * that would leave the variable one a save refuses (freshRefusal) is never taken.
+     */
+    _valueRefusal(entry, node, value) {
+        const unwritable = unwritableIn(value);
+        if (!unwritable) {
+            return null;
+        }
+        const is = unwritable.path === value.matlabPath ? ' would be ' : ' would hold ';
+        return cannotEdit(entry.name, (node.matlabPath || entry.name) + is + unwritable.what + ', which this package cannot write into a MAT-file');
+    }
+    /**
+     * Why `node`, a variable of this file, cannot be renamed, or null where it can: its record is not
+     * one whole element whose name a save can replace (MatFileWriter.renameWhy), which only a damaged
+     * file holds. Asked by the rename itself (DataNode.setProperty) and not by the editability
+     * getters, as finding out inflates the record: a rename refused so is refused before it is made.
+     */
+    _renameRefusal(node) {
+        const record = this.recordOf(node);
+        const why = record ? renameWhy(record) : null;
+        return why ? cannotEdit(node.name, why) : null;
+    }
+    /** Why no edit of this file is taken, or null (unsavableRefusal, structureRefusal). */
+    _fileRefusal() {
+        // A host that hands the bytes away empties every view of them at once, the header's
+        // first, so a verdict of none is asked again only once that happened.
+        const gone = this.headerBytes !== null && this.headerBytes.byteLength !== 128;
+        if (this._fileVerdict === undefined || (gone && this._fileVerdict === null)) {
+            const refused = unsavableRefusal(this) ?? structureRefusal(this, this.records, this._subsystemRecord());
+            this._fileVerdict = refused ? editRefusalOf(refused) : null;
+        }
+        return this._fileVerdict;
+    }
+    /** The subsystem's record (MatFileWriter.subsystemOf), found once: the records never change. */
+    _subsystemRecord() {
+        if (this._subsystem === undefined) {
+            this._subsystem = this.records ? subsystemOf(this, this.records) : null;
+        }
+        return this._subsystem;
+    }
+    /**
+     * How many variables of the file a save writes under `name`: the variables in the tree, and
+     * each record that became none (one the reader dropped) under its own name, as a save writes
+     * it (MatFileWriter.refuseDuplicates). A rename into a name another holds is refused for it
+     * (DataNode.setProperty), naming this file (_namespaceLabel).
+     *
+     * Counted when first asked, and moved with every variable added, removed or renamed after
+     * (_entriesMoved), so that a rename costs a lookup and not a count of every name: as a
+     * dictionary's are (SectionNode._namespaceHolds, F1-23).
+     *
+     * A record the reader dropped without a name, one that does not inflate or holds no matrix,
+     * is counted under none: what it would be called is not known, so an added or renamed
+     * variable is not held to it (MatFileWriter.refuseDuplicates, likewise). Every such record
+     * already breaks a rule MATLAB loads a file by (MatFileCheck: `compressed-wrapper`,
+     * `top-level-type`), and for all of them but one past the inflate ceiling that is a rule
+     * MATLAB fails the whole load on: no variable of the file is loaded beside it, whatever its name.
+     */
+    _namespaceHolds(name) {
+        if (!this._nameCounts || this._countedAt !== this._entriesVersion) {
+            const counts = new Map();
+            const add = (n) => counts.set(n, (counts.get(n) ?? 0) + 1);
+            for (const child of this.children) {
+                add(child.name);
+            }
+            for (const record of this.records ?? []) {
+                if (record.name && !this.nodeOf(record)) {
+                    add(record.name);
+                }
+            }
+            this._nameCounts = counts;
+            this._countedAt = this._entriesVersion;
+        }
+        return this._nameCounts.get(name) ?? 0;
+    }
+    /** Where a rename into a name already held is said to collide (DataNode.setProperty): this file. */
+    get _namespaceLabel() {
+        return basenameOf(this.name) || this.name;
     }
     // The format an out-of-process host is told this source is, since SourceDTO carries
     // this field and nothing else in the projection names the format. One value, unlike
@@ -48,7 +284,18 @@ export default class MatNode extends ContainerNode {
     getSection() {
         return null;
     }
-    execAddEntry(_className, entryName) {
+    // A new variable is the double 0, named `entryName`, or `var` with a counter appended if that
+    // is taken. The only class it takes is a plain variable's: a save writes no object (freshRefusal).
+    // Null, adding nothing, for a file no save of which can be written (_fileRefusal), for any other
+    // class, and for a name that is no MATLAB name or one the file holds already, by the rule a rename
+    // is held to: a save would refuse each.
+    execAddEntry(className, entryName) {
+        if (this._fileRefusal() || (className && !PLAIN_VARIABLE_CLASSES.has(className))) {
+            return null;
+        }
+        if (entryName && (validateMatlabName(entryName) || this._namespaceHolds(entryName) > 0)) {
+            return null;
+        }
         const name = entryName || this._uniqueName('var');
         const node = MatlabVariableNode.createDefault(name, this);
         this.addChild(node);
@@ -65,20 +312,22 @@ export default class MatNode extends ContainerNode {
             },
         };
     }
+    // Not a name any variable of the file holds, a record the reader dropped included (_namespaceHolds).
     _uniqueName(baseName) {
-        const names = new Set(this.children.map((c) => c.name));
-        if (!names.has(baseName)) {
+        if (this._namespaceHolds(baseName) === 0) {
             return baseName;
         }
         let i = 1;
-        while (names.has(baseName + i)) {
+        while (this._namespaceHolds(baseName + i) > 0) {
             i++;
         }
         return baseName + i;
     }
+    // A delete is written by any save, of any variable, one stored after the subsystem and an object
+    // included; refused only in a file no save of which can be written (_fileRefusal).
     execRemoveEntry(node) {
         const index = this.children.indexOf(node);
-        if (index < 0) {
+        if (index < 0 || this._fileRefusal()) {
             return null;
         }
         this.removeChild(node);
@@ -123,37 +372,69 @@ export default class MatNode extends ContainerNode {
     // containers have no rows and names the first ('part-not-expanded'). A parse handed over with
     // no warnings array (an older host's) is given one for it, which is the array addMatSource
     // and addMatSourceParsed pass on: both read it after this returns.
+    //
+    // Each node built of a record is bound to it (recordOf, nodeOf), whatever node it is: a
+    // plain variable, an MCOS object's typed node, a function handle, one shown as not
+    // decoded. A parse with no records, or whose records do not cover its variables one for
+    // one, binds none and keeps none (`records` null).
     static fromParsed(parsed, filename, options = {}) {
         const node = new MatNode(filename);
         node.header = parsed.header;
+        const records = heldRecords(parsed);
         // A .mat file keeps the MCOS blob in an anonymous trailing element. Every opaque in
         // the file, nested or not, comes back carrying its own decode, and what the decoder
         // could not read of one is a warning on the file.
         const anonElement = parsed.variables.find((v) => v._anonymous);
         attachMcosDecoded(anonElement?._rawBytes, parsed.variables, parsed.warnings);
         const ceiling = options.nodeCeiling ?? MAT_NODE_CEILING;
-        const { cut, firstCut } = buildUnderCeiling(ceiling, () => MatNode._addVariables(node, parsed));
+        const recordOf = records ? new Map(records.filter((r) => r.variable).map((r) => [r.variable, r])) : null;
+        const { cut, firstCut } = buildUnderCeiling(ceiling, () => MatNode._addVariables(node, parsed, recordOf));
         if (cut > 0 && firstCut) {
             const warnings = parsed.warnings ?? (parsed.warnings = []);
             warnings.push(notExpandedWarning(firstCut.matlabPath, cut, ceiling));
         }
+        if (records && bindsEveryRecord(node, records, parsed.variables)) {
+            node.headerBytes = parsed.headerBytes;
+            node.records = records;
+            node.subsystemOffset = parsed.subsystemOffset ?? 0;
+            node.framed = parsed.framed === true;
+            node.unframed = parsed.unframed ?? null;
+        }
+        else {
+            node._recordNodes.clear();
+            node._nodeRecords.clear();
+        }
         return node;
     }
+    _bindRecord(child, record) {
+        if (record) {
+            this._recordNodes.set(record, child);
+            this._nodeRecords.set(child, record);
+        }
+    }
     // Every variable as a row of `node`, in the file's order, under the ceiling fromParsed arms:
     // all of them counted first, and none refused (matNodeCeiling.chargeNodes), so that the rows
     // under them are what is left, and a tree is never more nodes than the ceiling or the
     // variables, whichever is more.
-    static _addVariables(node, parsed) {
+    //
+    // `recordOf` is each variable's record, by identity (MatRecord.variable), and every node
+    // made of a variable is bound to it here, the one place all four kinds are made.
+    static _addVariables(node, parsed, recordOf = null) {
         chargeNodes(parsed.variables.filter((v) => !v._anonymous).length);
         for (const variable of parsed.variables) {
             if (variable._anonymous) {
                 node._anonymousElements.push(variable);
                 continue;
             }
+            const record = recordOf?.get(variable);
+            const add = (child) => {
+                node.addChild(child);
+                node._bindRecord(child, record);
+            };
             if (variable.isOpaque) {
                 const mcosNode = buildUncut(() => modelOpaqueMcosVariable(variable, mcosDecodedFor(variable), node, parsed.warnings));
                 if (mcosNode) {
-                    node.addChild(mcosNode);
+                    add(mcosNode);
                     continue;
                 }
             }
@@ -164,13 +445,52 @@ export default class MatNode extends ContainerNode {
             const handle = functionHandleOf(variable);
             if (handle) {
                 const value = handle.text === null ? 'Matrix(' + variable.dimensions.join(',') + ')' : handle.text;
-                node.addChild(MatlabVariableNode.parse({ _type: 'function_handle', _value: value }, variable.name, node));
+                add(MatlabVariableNode.parse({ _type: 'function_handle', _value: value }, variable.name, node));
                 continue;
             }
-            node.addChild(variableNodeOf(variable, node, parsed.warnings));
+            add(variableNodeOf(variable, node, parsed.warnings));
         }
     }
 }
+// The classes a variable added to a file may be asked for as (execAddEntry): none, the one a
+// dictionary's plain variable is added as, and a double's.
+const PLAIN_VARIABLE_CLASSES = new Set(['MatlabVariable', 'double']);
+// A refusal of the writer's, `Cannot save "f.mat": …. Nothing was written.`, as the editor says
+// it of an edit it does not take: `Cannot edit "f.mat": ….`
+function editRefusalOf(e) {
+    return e.message.replace(/^Cannot (?:save|write) /, 'Cannot edit ').replace(/ Nothing was written\.$/, '');
+}
+function isStruct(node) {
+    return node instanceof MatlabVariableNode && node._kind === 'scalar' && node._scalarType === 'struct';
+}
+function cannotEdit(name, why) {
+    return 'Cannot edit "' + name + '": ' + why + '.';
+}
+// The records of `parsed` a save can splice, or null: none for a host's parse that carries
+// none, and none for one whose header or records are not byte views as long as they say,
+// which no reader of this package hands over. Views are told by ArrayBuffer.isView, which
+// answers for one made in another realm (a worker's, structured-cloned here) as well.
+function heldRecords(parsed) {
+    const { headerBytes, records } = parsed;
+    if (!Array.isArray(records) || !ArrayBuffer.isView(headerBytes) || headerBytes.byteLength !== 128) {
+        return null;
+    }
+    const whole = records.every((r) => r && ArrayBuffer.isView(r.bytes) && r.bytes.byteLength === r.length);
+    return whole ? records : null;
+}
+// Whether the tree `node` was built as is bound one for one: every variable the variable of
+// exactly one record, and every node bound to the record of the variable it was made of (an
+// unnamed element is made into no node, and is in `_anonymousElements`). A parse whose
+// records were made apart from its variables, or whose variables a host changed since,
+// binds short, and its records are not this tree's to splice.
+function bindsEveryRecord(node, records, variables) {
+    const withVariable = records.filter((r) => r.variable);
+    const ofRecords = new Set(withVariable.map((r) => r.variable));
+    return (ofRecords.size === withVariable.length &&
+        ofRecords.size === variables.length &&
+        variables.every((v) => ofRecords.has(v)) &&
+        node._nodeRecords.size === node.children.length);
+}
 // The file's one word about its node ceiling, which is not a loss, as `duplicate-id` is not
 // (ParseWarning): every value in it is read, and copied whole. `part` is the first container
 // built without its rows, in the order the tree is built, and the count is of the others.
diff --git a/dist/datamodel/node/container/MatNode.js.map b/dist/datamodel/node/container/MatNode.js.map
index 01fc28f4..13909456 100644
--- a/dist/datamodel/node/container/MatNode.js.map
+++ b/dist/datamodel/node/container/MatNode.js.map
@@ -1 +1 @@
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\ No newline at end of file
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\ No newline at end of file
diff --git a/dist/datamodel/node/data/MatlabVariableNode.d.ts b/dist/datamodel/node/data/MatlabVariableNode.d.ts
index 595eabc8..f01a8e93 100644
--- a/dist/datamodel/node/data/MatlabVariableNode.d.ts
+++ b/dist/datamodel/node/data/MatlabVariableNode.d.ts
@@ -34,6 +34,7 @@ export default class MatlabVariableNode extends DataNode {
     _elementType: string | null;
     _readFromStream?: true;
     _cutByCeiling?: number;
+    _emptyStructFields?: string[];
     constructor(name: string, parent: BaseNode | null, serial?: Record<string, unknown>);
     get Value(): unknown;
     set Value(v: unknown);
@@ -198,6 +199,17 @@ export default class MatlabVariableNode extends DataNode {
     _streamHolder(): MatlabVariableNode | null;
     /** The refusal of a Value edit at or under a value read from a MAT stream, or null (_streamHolder). */
     _refuseStreamEdit(stringValue: string): SetPropertyResult | null;
+    /**
+     * The refusal of `parsed`, typed in as this node's value, by a source that could not write
+     * what it makes of it, or null. A MAT-file's save writes no string, and writes a variable
+     * holding one only as it was read (MatNode._valueRefusal, MatFileWriter.freshRefusal), so a
+     * `"abc"` typed in, or a `{1, "abc"}`, would make a variable no save could write: it is refused
+     * here, before the edit, which a source that writes it (a dictionary) never asks.
+     *
+     * Judged of a node made of the text alone (_applyParsed, as the edit applies it), so that a
+     * refused edit leaves this one, its entry and its file as they were.
+     */
+    _refuseUnwritableValue(parsed: ParsedValue, stringValue: string): SetPropertyResult | null;
     /**
      * The refusal of a Value edit by the value this one is part of, or null. Asked of the nearest
      * node above this one that is not a struct, so that a field of a struct, at any depth and in
@@ -240,7 +252,7 @@ export default class MatlabVariableNode extends DataNode {
     _shapeAfter(parsed: ParsedValue): ValueShape;
     _isConstrainedChild(): boolean;
     _setConstrainedValue(stringValue: string): true | SetPropertyResult;
-    _markModified(): void;
+    _markModified(edit?: 'value' | 'name'): void;
     _syncElementFromChild(child: BaseNode): void;
     _applyParsed(parsed: {
         type: string;
diff --git a/dist/datamodel/node/data/MatlabVariableNode.d.ts.map b/dist/datamodel/node/data/MatlabVariableNode.d.ts.map
index 9a032db4..54e28487 100644
--- a/dist/datamodel/node/data/MatlabVariableNode.d.ts.map
+++ b/dist/datamodel/node/data/MatlabVariableNode.d.ts.map
@@ -1 +1 @@
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\ No newline at end of file
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\ No newline at end of file
diff --git a/dist/datamodel/node/data/MatlabVariableNode.js b/dist/datamodel/node/data/MatlabVariableNode.js
index d343c897..95ff611e 100644
--- a/dist/datamodel/node/data/MatlabVariableNode.js
+++ b/dist/datamodel/node/data/MatlabVariableNode.js
@@ -1,6 +1,7 @@
 // Copyright 2026 The MathWorks, Inc.
 import DataNode, { newFieldName } from '../DataNode.js';
 import { matlabVariableKind } from '../../kindMap.js';
+import { encodedHolderOf, sourceEditRefusal } from '../BaseNode.js';
 import { addChildUndoable, removeChildUndoable } from '../childEdit.js';
 import * as NodeRegistry from '../NodeRegistry.js';
 import { OBJECT_ICON } from '../icons.js';
@@ -350,14 +351,13 @@ export default class MatlabVariableNode extends DataNode {
     // The Class column says complex and sparse as MATLAB's Workspace browser does,
     // `int16 (complex)`, `double (sparse)` (DisplayConvention.classColumnText): className is
     // MATLAB's class(), which says neither. Complex is what the writers take it for
-    // (_isComplexValue), and for an empty, which has no element to say so, what it was read as
-    // (_elementType): a .mat's complex(zeros(1,0)), or a binary dictionary's IsComplex="1".
+    // (_isComplexValue), an empty's included: what it was read as, a .mat's complex(zeros(1,0)),
+    // or a binary dictionary's IsComplex="1".
     _classColumn() {
         if (this._isOpaque) {
             return super._classColumn();
         }
-        const complexEmpty = this._kind === 'array' && this._elementType === 'complex' && this._liveElements().length === 0;
-        return classColumnText(this.className, { complex: this._isComplexValue() || complexEmpty, sparse: !!this._sparse });
+        return classColumnText(this.className, { complex: this._isComplexValue(), sparse: !!this._sparse });
     }
     // A primitive variable's data type ('double', 'string', 'cell', …) is a real
     // data type and belongs in the DataType column. An opaque MCOS variable's
@@ -395,7 +395,8 @@ export default class MatlabVariableNode extends DataNode {
     get nameEditable() {
         // Inside a value still in its encoded stream, the names are part of the stream; the
         // node holding the stream keeps its own (BaseNode.nameEditable says the same).
-        if (this._encodedReadOnly && !this._encoded) {
+        const holder = encodedHolderOf(this);
+        if (holder && holder !== this) {
             return false;
         }
         if (this.parent && this.parent instanceof MatlabVariableNode) {
@@ -405,7 +406,9 @@ export default class MatlabVariableNode extends DataNode {
         if (this.parent?.isObjectPropertyBag) {
             return false;
         }
-        return true;
+        // Nor a name its source would not write: a MAT-file's variable stored after its subsystem
+        // (BaseNode.sourceEditRefusal).
+        return !sourceEditRefusal(this, 'Name');
     }
     get valueEditable() {
         if (this._isOpaque) {
@@ -1031,6 +1034,12 @@ export default class MatlabVariableNode extends DataNode {
             if (holderRefusal) {
                 return holderRefusal;
             }
+            // And the file it is in may have no way to write what the text makes: a MAT-file holds no
+            // string this package writes (_refuseUnwritableValue).
+            const unwritableRefusal = this._refuseUnwritableValue(parsed, stringValue);
+            if (unwritableRefusal) {
+                return unwritableRefusal;
+            }
             this._applyParsed(parsed);
             this._markModified();
             // _applyParsed rebuilds this node's children from the text, so restating a
@@ -1117,6 +1126,34 @@ export default class MatlabVariableNode extends DataNode {
             validValue: this.displayValue,
         };
     }
+    /**
+     * The refusal of `parsed`, typed in as this node's value, by a source that could not write
+     * what it makes of it, or null. A MAT-file's save writes no string, and writes a variable
+     * holding one only as it was read (MatNode._valueRefusal, MatFileWriter.freshRefusal), so a
+     * `"abc"` typed in, or a `{1, "abc"}`, would make a variable no save could write: it is refused
+     * here, before the edit, which a source that writes it (a dictionary) never asks.
+     *
+     * Judged of a node made of the text alone (_applyParsed, as the edit applies it), so that a
+     * refused edit leaves this one, its entry and its file as they were.
+     */
+    _refuseUnwritableValue(parsed, stringValue) {
+        let entry = this;
+        let source = this.parent;
+        while (source && !source.isContainer) {
+            entry = source;
+            source = source.parent;
+        }
+        const refuse = source
+            ?._valueRefusal;
+        if (typeof refuse !== 'function') {
+            return null;
+        }
+        const value = new MatlabVariableNode(this.name, null, {});
+        value._scalarType = this._scalarType;
+        value._applyParsed(parsed);
+        const refused = refuse.call(source, entry, this, value);
+        return refused ? { error: true, reason: refused, invalidValue: stringValue, validValue: this.displayValue } : null;
+    }
     /**
      * The refusal of a Value edit by the value this one is part of, or null. Asked of the nearest
      * node above this one that is not a struct, so that a field of a struct, at any depth and in
@@ -1358,7 +1395,7 @@ export default class MatlabVariableNode extends DataNode {
     // every MatlabVariableNode above it, because the save path reads `_var` from the
     // TOP-LEVEL variable: a struct field's edit has to make the STRUCT's snapshot
     // stale, not just the field's own. See the _var getter for why.
-    _markModified() {
+    _markModified(edit = 'value') {
         let node = this;
         while (node instanceof MatlabVariableNode) {
             node._varStale = true;
@@ -1370,7 +1407,7 @@ export default class MatlabVariableNode extends DataNode {
             }
             node = node.parent;
         }
-        super._markModified();
+        super._markModified(edit);
     }
     // Push an edited element's new value into this container's _elements slot.
     // _elements and the child nodes are two copies of the same data: the children
@@ -1402,6 +1439,8 @@ export default class MatlabVariableNode extends DataNode {
         this._matVar = null;
         // A value typed in whole is built with all its rows, whatever the file's node ceiling did.
         delete this._cutByCeiling;
+        // Nor is it the empty struct array it may have been (_emptyStructFields).
+        delete this._emptyStructFields;
         this._rawInput = undefined;
         // Nor is it what a removal left of a complex array any more (_complexClass).
         this._collapsedClass = null;
@@ -1667,9 +1706,11 @@ export default class MatlabVariableNode extends DataNode {
             return false;
         }
         // Nor where what holds the value refuses the one Add would leave: in a Simulink.Parameter's
-        // Value, MATLAB's rules for it (DataNode._structuralRefusal, the ruling A2).
+        // Value, MATLAB's rules for it (DataNode._structuralRefusal, the ruling A2). Nor where the
+        // file it is in would not write the row as it shows: a MAT-file's struct array
+        // (BaseNode.sourceEditRefusal, MatNode._editRefusal).
         if (this._kind === 'scalar' && this._scalarType === 'struct') {
-            return !this._structuralRefusal('add');
+            return !this._structuralRefusal('add') && !sourceEditRefusal(this, 'Add');
         }
         if (this._kind === 'scalar') {
             return false;
@@ -1726,7 +1767,8 @@ export default class MatlabVariableNode extends DataNode {
         return child;
     }
     _addStructField() {
-        const uniqueName = newFieldName(this.children.map((c) => c.name));
+        // Nor the name of a field a struct array of no element has without a row (_emptyStructFields).
+        const uniqueName = newFieldName([...(this._emptyStructFields ?? []), ...this.children.map((c) => c.name)]);
         const child = MatlabVariableNode._createScalar(0, 'double', uniqueName, this);
         this.addChild(child);
         this._markModified();
@@ -2107,6 +2149,12 @@ export default class MatlabVariableNode extends DataNode {
         // (_matStream), naming the entry and the reason, rather than written in the rank-2 form
         // below, which is not a form MATLAB writes there for it. Elsewhere it falls through as
         // before: a binary dictionary's XML spells it element by element.
+        //
+        // A complex array of no element too (_isComplexValue), whose stream says complex where
+        // `[]` cannot: MATLAB's own text dictionary spells one as the real empty, `[]` or
+        // `{"_type": "int16", "_value": "[]"}` (dispcat_text.sldd's dx_complex_0x0 and
+        // dx_complex_int16_1x0), so that a copy of one into it, or through it into a binary
+        // dictionary, whose spelling `IsComplex="1"` does say so (_serializeArrayXml), lost it.
         const nd = effectiveDims(this._dims).length > 2;
         if (this._sparse || nd || this._isComplexValue() || this._unexpandedStruct()) {
             const cdata = this._serializeCdata(nd && this._ownerFormat() === 'json');
@@ -2155,6 +2203,14 @@ export default class MatlabVariableNode extends DataNode {
             return false;
         }
         const elems = this._liveElements();
+        // An array of no element has none to say so, and is complex when it was read as one
+        // (_elementType): a .mat's complex(zeros(1,0)), a binary dictionary's IsComplex="1". Asked
+        // of its elements, it was real, and once anything marked it edited it was written so
+        // (_buildVarObject): measured against MATLAB R2027a, a .mat save of complex(zeros(0,0))
+        // loaded with isreal true.
+        if (elems.length === 0) {
+            return this._elementType === 'complex';
+        }
         // ANY element, not the first: the element editor takes only a real number, so after
         // x(1) = 7 the first element is the number 7 and the rest are still complex, and
         // asking the first alone wrote [7+0i NaN+0i 3-4i] out as the real [7 0 3].
@@ -2604,6 +2660,16 @@ export default class MatlabVariableNode extends DataNode {
     // unchanged.
     _serializeStructValue() {
         const dims = effectiveDims(this._dims);
+        // A struct array of no element, with fields (_emptyStructFields): the bag the binary reader
+        // makes of MATLAB's own spelling of one, `<P Class="struct" Dimension="0*0"><Field Name="a"/>`
+        // (BinarySlddParser.structValue), with no element and its names in `_fields`, which is where
+        // StructNode writes them back from, as those `<Field>`s. Built of its rows like any other, it
+        // named no field: a copy of a .mat's struct('a', {}) went into a binary dictionary as a
+        // struct of none.
+        const named = elementCount(dims) === 0 && this.children.length === 0 ? this._emptyStructFields ?? [] : [];
+        if (named.length > 0) {
+            return { _array_type: 'Struct', _dimensions: dims, _elements: [], _fields: named.slice(), _mw_element_type: 'MATLABArray' };
+        }
         // A .mat struct ARRAY hangs its ELEMENTS off this node (named 1..N, each a
         // struct-kind node whose own children are the fields); a 1x1 hangs the fields
         // directly. StructNode owns neither case on the .mat path, so both are here —
@@ -2902,7 +2968,11 @@ export default class MatlabVariableNode extends DataNode {
             if (type === 'string' && this._rawInput?._emptyDims && two.length === 2 && elementCount(two) === 0) {
                 return DataNode._stringXml(tagName, attrStr, [], two, indent);
             }
-            return (p + '<' + tagName + attrStr + ' Class="' + escapeXml(type || 'double') + '" Dimension="' + dimAttr + '"/>');
+            // A complex empty says so, as MATLAB's own does: `Class="double" IsComplex="1"
+            // Dimension="0*0"/>` and `Class="int16" IsComplex="1" Dimension="1*0"/>` (dispcat_bin.sldd).
+            // Without it, it was read back real.
+            const complex = !this._sparse && this._isComplexValue() ? ' IsComplex="1"' : '';
+            return (p + '<' + tagName + attrStr + ' Class="' + escapeXml(type || 'double') + '"' + complex + ' Dimension="' + dimAttr + '"/>');
         }
         // A sparse array reaches here only with no stream to be the hex of (_sparseFallback);
         // past what this package lays out densely, all there is to write is its summary,
@@ -3222,6 +3292,14 @@ export default class MatlabVariableNode extends DataNode {
                 }
             }
             else {
+                // An array of no element is its field names, each with no element, as MatParser reads
+                // one (_emptyStructFields): rebuilt from its rows, of which it has none, it was a
+                // struct of no field.
+                if (elementCount(this._dims) === 0) {
+                    for (const fname of this._emptyStructFields ?? []) {
+                        setOwn(fields, fname, []);
+                    }
+                }
                 for (const child of this.children) {
                     setOwn(fields, child.name, MatlabVariableNode._memberVar(child));
                 }
@@ -3627,6 +3705,12 @@ export default class MatlabVariableNode extends DataNode {
         }
         const fieldNames = Object.keys(variable.fields);
         const count = elementCount(node._dims);
+        // A struct array of no element has no row, and its field names nowhere but here
+        // (_emptyStructFields).
+        if (count === 0) {
+            node._emptyStructFields = fieldNames;
+            return node;
+        }
         if (count <= 1) {
             // Its fields are its rows, all of them or none past a .mat file's node ceiling
             // (matNodeCeiling).
diff --git a/dist/datamodel/node/data/MatlabVariableNode.js.map b/dist/datamodel/node/data/MatlabVariableNode.js.map
index 125b4511..74d567c7 100644
--- a/dist/datamodel/node/data/MatlabVariableNode.js.map
+++ b/dist/datamodel/node/data/MatlabVariableNode.js.map
@@ -1 +1 @@
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\ No newline at end of file
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\ No newline at end of file
diff --git a/dist/datamodel/parser/MatFileCheck.d.ts b/dist/datamodel/parser/MatFileCheck.d.ts
new file mode 100644
index 00000000..16a084aa
--- /dev/null
+++ b/dist/datamodel/parser/MatFileCheck.d.ts
@@ -0,0 +1,151 @@
+/**
+ * What a MatViolation is about. Each is one rule MATLAB applies at `load`:
+ *
+ * - `short-file`: fewer than the 128 bytes of a header;
+ * - `not-level5`: the version (bytes 124-125) or the endian mark (126-127) is not a Level-5
+ *   file's, or the two disagree;
+ * - `level4-lookalike`: a 16-bit half of bytes 0-3 is zero, so MATLAB reads the file as Level 4;
+ * - `big-endian`: an 'MI' file, noted and not checked further (this package does not read one);
+ * - `framing`: the records do not tile the file from byte 128 to its end: one is cut short, one
+ *   is not a whole number of 8-byte words, or bytes follow or pad them;
+ * - `top-level-type`: a record that is neither miMATRIX nor miCOMPRESSED;
+ * - `empty-matrix`: a record holding an miMATRIX of 0 bytes;
+ * - `compressed-wrapper`: a compressed record that is not one zlib stream of one miMATRIX;
+ * - `subsystem-offset`: header bytes 116-123 do not point at the subsystem's record, or are 0
+ *   with a subsystem in the file;
+ * - `subsystem-not-last`: a record after the subsystem, which MATLAB silently leaves out;
+ * - `anonymous-record`: an unnamed record that is not the subsystem, where MATLAB stops listing;
+ * - `name`: a variable name that is not valid UTF-8, not an identifier, or a keyword (an empty
+ *   one is an `anonymous-record`);
+ * - `duplicate-name`: two records of one name;
+ * - `char-type`: char data in a type MATLAB does not read as text, or reads wrong;
+ * - `utf8-count`: miUTF8 char data whose UTF-16 length is not the array's element count;
+ * - `nbytes`: a matrix its sub-elements do not fill exactly;
+ * - `int-storage`: a numeric array of a class other than double, stored in a type other than
+ *   its class's own;
+ * - `element`: a sub-element MATLAB cannot read where it stands: array flags, dimensions or a
+ *   name of the wrong type, an unknown class or data type, a small tag of more than 4 bytes, a
+ *   container member that is not a matrix;
+ * - `data-size`: a data sub-element holding more or fewer elements than the dimensions say;
+ * - `budget`: the check stopped here, and nothing from here on was checked.
+ */
+export type MatViolationCode = 'short-file' | 'not-level5' | 'level4-lookalike' | 'big-endian' | 'framing' | 'top-level-type' | 'empty-matrix' | 'compressed-wrapper' | 'subsystem-offset' | 'subsystem-not-last' | 'anonymous-record' | 'name' | 'duplicate-name' | 'char-type' | 'utf8-count' | 'nbytes' | 'int-storage' | 'element' | 'data-size' | 'budget';
+/** One rule a MAT-file breaks, and where. */
+export interface MatViolation {
+    code: MatViolationCode;
+    /**
+     * The byte of the file it is at. Inside a compressed record that is the record's own tag,
+     * since the bytes at fault exist only inflated; the message gives their place in the
+     * inflated payload. For a header field (`subsystem-offset`) it is the field.
+     */
+    at: number;
+    /** What is wrong, and what MATLAB does with it, in a sentence a user can be shown. */
+    message: string;
+    /** The variable it is in, when its record has a name that could be read. */
+    variable?: string;
+}
+/** How much one check may spend. Past either budget it stops with a `budget` note. */
+export interface MatCheckOptions {
+    /** Matrices walked, top-level and nested together. Defaults to MAT_CHECK_ELEMENT_BUDGET. */
+    maxElements?: number;
+    /** Bytes inflated from compressed records, over the whole file. Defaults to MAT_CHECK_INFLATE_BUDGET. */
+    maxInflatedBytes?: number;
+}
+/**
+ * How many matrices one check walks, at most: 2^24. A matrix costs the check a few tag reads,
+ * and 2^24 of them is a struct array of 1.6 million elements and ten fields each.
+ */
+export declare const MAT_CHECK_ELEMENT_BUDGET: number;
+/**
+ * How many bytes one check inflates, at most, over every compressed record of the file: 1 GiB.
+ * The check inflates one record at a time and drops it, so this bounds time more than memory;
+ * the largest record in the corpus `parseMat` is measured against inflates to 114 MB.
+ */
+export declare const MAT_CHECK_INFLATE_BUDGET: number;
+/**
+ * Check a Level-5 MAT-file against the rules MATLAB loads one by (see the top of this file),
+ * and list every place it breaks one, in file order. An empty list means MATLAB loads the
+ * file, every variable in it, as stored. Pure and synchronous, and it never throws: bytes that
+ * are not a MAT-file at all are a violation too.
+ */
+export declare function checkMatFile(bytes: Uint8Array, options?: MatCheckOptions): MatViolation[];
+/**
+ * What one variable's miMATRIX element (its tag and body, as a record holds it inflated) breaks
+ * of the rules MATLAB reads a matrix by, at any depth: its char data, its storage, how its
+ * sub-elements fill it, its name. Not the rules of a file (its header, framing, compression,
+ * placement), which only a whole file has: those are checkMatFile's. Every `at` is 0, the
+ * element's own start, and each message says where in the element. Asked of a variable as it was
+ * read, whose element is in memory already, so nothing is inflated; and like checkMatFile it never
+ * throws, and stops at its budget with a `budget` note.
+ */
+export declare function checkMatElement(element: Uint8Array, options?: MatCheckOptions): MatViolation[];
+/**
+ * The violations of `after` that `before` does not have: what a rewrite of a file added to it.
+ *
+ * Matched by code and variable, never by offset or message, which an edit anywhere before a
+ * record moves; and counted, so a third violation of one kind in one variable is added where
+ * the original had two. `renamed` maps a variable's name in `after` to its name in `before`.
+ * A `budget` note in `after` is always added: a check that did not finish proves nothing about
+ * what it did not reach, whatever the original's check reached.
+ */
+export declare function violationsAdded(before: readonly MatViolation[], after: readonly MatViolation[], renamed?: ReadonlyMap<string, string>): MatViolation[];
+/** A record of a file as read, for violationsAddedBySplice: its bytes, from its tag. */
+export interface MatReadRecord {
+    bytes: Uint8Array;
+    /**
+     * Its payload as `inflateZlib` inflated it, for a compressed record whose inflate the caller
+     * holds already (MatParser keeps it, MatVariable._rawBytes), so that it is not inflated again.
+     */
+    inflated?: Uint8Array | null;
+}
+/**
+ * A record of a file written from another (violationsAddedBySplice): a record of that file kept
+ * as its own bytes (`kept`, its index), or bytes written in place of one of its records
+ * (`replaces`, its index: a variable renamed or written fresh, and the subsystem, when a save
+ * writes it anew) or of none (`replaces` null: a variable added).
+ */
+export type MatSplicedRecord = {
+    kept: number;
+} | {
+    written: Uint8Array;
+    replaces: number | null;
+};
+/** A Level-5 file as its 128-byte header and its records, back to back from byte 128. */
+export interface MatFileOfRecords<R> {
+    header: Uint8Array;
+    records: readonly R[];
+}
+/**
+ * What `written` adds to `read` by the rules MATLAB loads a file by, as
+ * `violationsAdded(checkMatFile(read), checkMatFile(written), renamed)` says it, where `written`
+ * is `read` with some of its records kept as their own bytes, the others deleted or written anew,
+ * and records added: worked out from what changed, rather than by checking both files whole.
+ *
+ * WHY IT IS THE SAME ANSWER. What a record breaks depends on its bytes alone (checkRecord, which
+ * checkMatFile walks every record with: `at` only places what is said). So a record kept as its
+ * own bytes breaks in `written` what it broke in `read`, under the same variable, and the two
+ * cancel, by rule and variable, as violationsAdded counts them. What is left to compare is the
+ * records written, the records they replace, the header, and the rules of where records stand
+ * (checkPlacement), which are asked of both files whole, from each record's name and whether it
+ * holds the subsystem: of a kept record, read without walking the rest of it (Check.headOnly).
+ * That holds where three things do, and where one does not both files are checked whole:
+ *
+ *   - both files walk as their records are given: every record's tag declares exactly the bytes
+ *     it is given, and opens with a nonzero byte, which the tag of a type that is a multiple of
+ *     256 does not, and which the walk then takes for padding;
+ *   - no record of `read` is kept twice, or kept and replaced;
+ *   - no kept record holds a name `renamed` maps, which violationsAdded would compare its
+ *     violations under the other name of.
+ *
+ * A record deleted is one more in `read` than in `written`, which can only take from what is
+ * added: it is checked only when something is.
+ *
+ * THE BUDGET (MatCheckOptions) is spent on what is checked, the records written and the ones
+ * they replace, and not on the records kept, which are not walked: so a file past it is still
+ * checked where it changed, where checkMatFile of it would stop. A `budget` note on the written
+ * side is added, as violationsAdded adds every one; one on the read side only leaves less for a
+ * written record's violations to be matched with. A kept record whose name cannot be read within
+ * the budget is a `budget` note on the written side: where it stands cannot be judged.
+ */
+export declare function violationsAddedBySplice(read: MatFileOfRecords<MatReadRecord>, written: MatFileOfRecords<MatSplicedRecord>, renamed?: ReadonlyMap<string, string>, options?: MatCheckOptions): MatViolation[];
+//# sourceMappingURL=MatFileCheck.d.ts.map
\ No newline at end of file
diff --git a/dist/datamodel/parser/MatFileCheck.d.ts.map b/dist/datamodel/parser/MatFileCheck.d.ts.map
new file mode 100644
index 00000000..f8537d0f
--- /dev/null
+++ b/dist/datamodel/parser/MatFileCheck.d.ts.map
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/dist/datamodel/parser/MatFileCheck.js b/dist/datamodel/parser/MatFileCheck.js
new file mode 100644
index 00000000..0bc17cc0
--- /dev/null
+++ b/dist/datamodel/parser/MatFileCheck.js
@@ -0,0 +1,1316 @@
+// src/datamodel/parser/MatFileCheck.ts
+// Copyright 2026 The MathWorks, Inc.
+//
+// Whether MATLAB loads a Level-5 MAT-file, judged by the rules MATLAB loads one by, and not by
+// this package's own reader.
+//
+// WHY A SECOND READER. `parseMat` is built to open whatever it can, which is right for a
+// viewer and wrong for a judge. It clamps every declared length to the bytes present, takes a
+// zero tag for the end of the variables, reads char data stored as miUTF32 or miUINT8, and
+// lists a variable stored after the subsystem. MATLAB does none of that. Of the 36 files in the
+// MATLAB-verdict corpus (test/fixtures/mat-check) that MATLAB does not load as stored, because
+// the load fails or a variable comes back missing or changed, `parseMat` opens all 36, and 32
+// of them without a single warning (measured when this was written). So a `.mat` this package
+// writes and then reads back proves only that the package agrees with itself. This module is
+// the other judge: it reads no value, and it lists every place a file breaks a rule MATLAB
+// applies at `load`, as a MatViolation. It shares no reading code with MatParser, so none of
+// the reader's repairs can leak into a verdict.
+//
+// THE RULES. Each was measured against MATLAB R2027a (27.1 prerelease, maca64) with `S =
+// load(f)` on copies of MATLAB-written files edited one byte range at a time
+// (test/fixtures/mat-check/verdicts.json holds the files and MATLAB's verdict on each):
+//
+//   * the header: bytes 124-125 are the version 0x0100 and 126-127 the endian mark 'IM' (0x0000
+//     and 0x0200 fail, and 0x0200 makes MATLAB try HDF5); neither 16-bit half of bytes 0-3 is
+//     zero (a header of NULs fails: MATLAB takes the file for Level 4);
+//   * the records tile the file from byte 128 to its last byte. A plain record is its tag and
+//     its declared bytes, a multiple of 8 (one cut short, or missing its final pad, fails); a
+//     compressed one is its tag and exactly its zlib stream, with no padding after it (zero
+//     padding to 8 fails), and nothing follows the last record (3, 8 or 100 zero bytes fail);
+//   * a record is an miMATRIX, or an miCOMPRESSED whose RFC 1950 zlib stream inflates to one
+//     miMATRIX and nothing else (zlib levels 0, 1, 6 and 9 all load);
+//   * header bytes 116-123 are the offset of the subsystem's record (the objects' data), or 0
+//     when there is none. MATLAB trusts the offset and never looks for the record: a stale,
+//     zeroed or space-filled one fails the whole load;
+//   * the subsystem is the last record and the only unnamed one. MATLAB stops listing variables
+//     at the first unnamed record, so a variable after it is silently missing from the load
+//     (the load succeeds, and `whos -file` still lists it);
+//   * a variable's name is a MATLAB identifier in valid UTF-8: '1abc' and 'café' fail `S =
+//     load(f)`, 'end' loads as 'end_', and a name that is not UTF-8 crashed MATLAB;
+//   * char data is miUTF8 holding as many UTF-16 units as the array's elements, or miUTF16, or
+//     miUINT16 below U+0100: miUTF32, miUINT8 and miINT8 fail, a surrogate in miUINT16 fails,
+//     and CJK in miUINT16 loads keeping only the low byte of each unit, with no warning;
+//   * every element is readable: one bad variable fails the whole-file load.
+//
+// Some rules were not probed, deliberately: what MATLAB writes is plain, and a file that breaks
+// it is one no MATLAB was seen to write. Only a double is ever stored in a narrower type than
+// its class (every other numeric class is stored in its own), every sub-element fills its
+// matrix exactly, and every data sub-element holds as many elements as its dimensions say.
+// They are checked as MATLAB writes them (`int-storage`, `nbytes`, `data-size`, `element`).
+//
+// WHERE IT IS STRICTER THAN MATLAB, on purpose, so the save path never writes a file that
+// loads only by luck. Each is listed with its reason in test/matFileCheck.test.ts: a name
+// stored twice (it loads, but `load f` keeps the last copy and `load f x` the first); bytes
+// after the subsystem's record, which MATLAB's load never reads; a zlib stream whose Adler-32
+// trailer is not the record's last four bytes.
+//
+// WHAT IT IS FOR. The `.mat` save checks the file it writes, and refuses to return it if it has
+// a violation the original did not. A violation is therefore said with the variable it is in,
+// when that has a readable name, so two files can be compared by variable rather than by an
+// offset an edit moved (violationsAdded). And since what a record breaks is a function of its
+// own bytes, the save asks it only where it changed the file, with the same answer
+// (violationsAddedBySplice).
+//
+// BOUNDED. A file's bytes say how much work reading them is, and a hostile one can say a lot:
+// a few kilobytes of zlib inflate to gigabytes, and a cell can declare a billion elements. So
+// the check spends a budget of inflated bytes and of matrices walked (MatCheckOptions), and
+// stops when either runs out, with a `budget` note saying where. It never throws: whatever the
+// bytes, the answer is a list.
+import { InflateCeilingError, inflateZlib, MAT_RECORD_INFLATE_CEILING } from './Inflate.js';
+import { MAX_NESTING } from './MatParser.js';
+import { reasonOf } from './ParseWarning.js';
+/**
+ * How many matrices one check walks, at most: 2^24. A matrix costs the check a few tag reads,
+ * and 2^24 of them is a struct array of 1.6 million elements and ten fields each.
+ */
+export const MAT_CHECK_ELEMENT_BUDGET = 2 ** 24;
+/**
+ * How many bytes one check inflates, at most, over every compressed record of the file: 1 GiB.
+ * The check inflates one record at a time and drops it, so this bounds time more than memory;
+ * the largest record in the corpus `parseMat` is measured against inflates to 114 MB.
+ */
+export const MAT_CHECK_INFLATE_BUDGET = 2 ** 30;
+const MI_INT8 = 1;
+const MI_UINT8 = 2;
+const MI_INT16 = 3;
+const MI_UINT16 = 4;
+const MI_INT32 = 5;
+const MI_UINT32 = 6;
+const MI_SINGLE = 7;
+const MI_DOUBLE = 9;
+const MI_INT64 = 12;
+const MI_UINT64 = 13;
+const MI_MATRIX = 14;
+const MI_COMPRESSED = 15;
+const MI_UTF8 = 16;
+const MI_UTF16 = 17;
+const TYPE_NAMES = {
+    [MI_INT8]: 'miINT8', [MI_UINT8]: 'miUINT8', [MI_INT16]: 'miINT16', [MI_UINT16]: 'miUINT16',
+    [MI_INT32]: 'miINT32', [MI_UINT32]: 'miUINT32', [MI_SINGLE]: 'miSINGLE', [MI_DOUBLE]: 'miDOUBLE',
+    [MI_INT64]: 'miINT64', [MI_UINT64]: 'miUINT64', [MI_MATRIX]: 'miMATRIX', [MI_COMPRESSED]: 'miCOMPRESSED',
+    [MI_UTF8]: 'miUTF8', [MI_UTF16]: 'miUTF16', 18: 'miUTF32',
+};
+/** The bytes one element of each numeric data type takes. */
+const WIDTH = {
+    [MI_INT8]: 1, [MI_UINT8]: 1, [MI_INT16]: 2, [MI_UINT16]: 2, [MI_INT32]: 4, [MI_UINT32]: 4,
+    [MI_SINGLE]: 4, [MI_DOUBLE]: 8, [MI_INT64]: 8, [MI_UINT64]: 8,
+};
+const MX_CELL = 1;
+const MX_STRUCT = 2;
+const MX_OBJECT = 3;
+const MX_CHAR = 4;
+const MX_SPARSE = 5;
+const MX_DOUBLE = 6;
+const MX_SINGLE = 7;
+const MX_UINT8 = 9;
+const MX_FUNCTION = 16;
+const MX_OPAQUE = 17;
+const CLASS_NAMES = {
+    1: 'cell', 2: 'struct', 3: 'object', 4: 'char', 5: 'sparse', 6: 'double', 7: 'single',
+    8: 'int8', 9: 'uint8', 10: 'int16', 11: 'uint16', 12: 'int32', 13: 'uint32', 14: 'int64',
+    15: 'uint64', 16: 'function_handle', 17: 'opaque',
+};
+/** The one data type each numeric class but double is stored in. */
+const OWN_TYPE = {
+    7: MI_SINGLE, 8: MI_INT8, 9: MI_UINT8, 10: MI_INT16, 11: MI_UINT16, 12: MI_INT32,
+    13: MI_UINT32, 14: MI_INT64, 15: MI_UINT64,
+};
+// The array flags' bits above the class byte.
+const LOGICAL_BIT = 0x200;
+const COMPLEX_BIT = 0x800;
+const SPARSE_BIT = 0x1000;
+// MATLAB's keywords (iskeyword), which a variable name may not be: the same list
+// datamodel/matlabName.ts holds, restated because this folder imports nothing from there.
+const KEYWORDS = new Set([
+    'break', 'case', 'catch', 'classdef', 'continue', 'else', 'elseif', 'end', 'for', 'function',
+    'global', 'if', 'otherwise', 'parfor', 'persistent', 'return', 'spmd', 'switch', 'try', 'while',
+]);
+const IDENTIFIER = /^[A-Za-z][A-Za-z0-9_]*$/;
+// Fatal, so bytes that are not UTF-8 are said to be, and keeping a BOM, so a name or a text
+// that opens with one is not read as one without it.
+const strictUtf8 = new TextDecoder('utf-8', { fatal: true, ignoreBOM: true });
+const looseUtf8 = new TextDecoder('utf-8', { ignoreBOM: true });
+// The MAT stream a subsystem's uint8 data opens with: the version 0x0100 and 'IM'.
+const STREAM_MAGIC = [0x00, 0x01, 0x49, 0x4d];
+/** Thrown inside a check when a budget runs out, and turned into its `budget` note. */
+class OutOfBudget extends Error {
+    constructor(at, message) {
+        super(message);
+        this.at = at;
+        this.name = 'OutOfBudget';
+    }
+}
+/** One top-level record's bytes, from its tag, as the record at byte `at` of its file. */
+function recordSpace(view, at) {
+    return { view, fileAt: (o) => at + o, where: (o) => `Byte ${at + o}` };
+}
+function payloadSpace(view, record) {
+    return {
+        view,
+        fileAt: () => record,
+        where: (o) => `Byte ${o} of the compressed record at byte ${record}, inflated,`,
+    };
+}
+class Check {
+    constructor(options) {
+        this.out = [];
+        /** The record being checked, for a `budget` note on a throw nobody expected. */
+        this.cursor = 128;
+        /** Whether the walk is inside the subsystem's stream, which belongs to no variable. */
+        this.inSubsystem = false;
+        /**
+         * Whether only what the placement rules need of a record is read (its name, and whether it
+         * holds the subsystem), and nothing past it: what a record kept as its own bytes is asked
+         * in a splice (violationsAddedBySplice), whose violations are the file's as read already.
+         */
+        this.headOnly = false;
+        this.maxElements = options.maxElements ?? MAT_CHECK_ELEMENT_BUDGET;
+        this.maxInflated = options.maxInflatedBytes ?? MAT_CHECK_INFLATE_BUDGET;
+        this.elementsLeft = this.maxElements;
+        this.inflateLeft = this.maxInflated;
+    }
+    /** A violation of the file as a whole, or of one record seen from outside it. */
+    file(code, at, message, variable) {
+        const v = { code, at, message };
+        if (variable)
+            v.variable = variable;
+        this.out.push(v);
+    }
+    /** A violation inside a matrix, said with where it is and whose it is. */
+    report(code, space, o, text) {
+        const whose = this.inSubsystem
+            ? ' (in the subsystem, the data of the objects in the file)'
+            : this.variable ? ` (in "${this.variable}")` : '';
+        const v = { code, at: space.fileAt(o), message: `${space.where(o)}${whose}: ${text}.` };
+        if (this.variable && !this.inSubsystem)
+            v.variable = this.variable;
+        this.out.push(v);
+    }
+    /** One more matrix walked, or the end of the check. */
+    spend(space, o) {
+        if (--this.elementsLeft < 0) {
+            throw new OutOfBudget(space.fileAt(o), `more than the ${this.maxElements} matrices one check walks`);
+        }
+    }
+}
+/**
+ * Check a Level-5 MAT-file against the rules MATLAB loads one by (see the top of this file),
+ * and list every place it breaks one, in file order. An empty list means MATLAB loads the
+ * file, every variable in it, as stored. Pure and synchronous, and it never throws: bytes that
+ * are not a MAT-file at all are a violation too.
+ */
+export function checkMatFile(bytes, options = {}) {
+    const check = new Check(options);
+    try {
+        checkFile(check, bytes);
+    }
+    catch (err) {
+        // A budget run out, or, if this module has a defect, any other throw: either way the
+        // check did not finish, and that is said rather than thrown, at the record it was in.
+        check.file('budget', ...stoppedAt(err, check.cursor));
+    }
+    // Stable, so the violations of one place keep the order they were found in.
+    return check.out.sort((a, b) => a.at - b.at);
+}
+/**
+ * What one variable's miMATRIX element (its tag and body, as a record holds it inflated) breaks
+ * of the rules MATLAB reads a matrix by, at any depth: its char data, its storage, how its
+ * sub-elements fill it, its name. Not the rules of a file (its header, framing, compression,
+ * placement), which only a whole file has: those are checkMatFile's. Every `at` is 0, the
+ * element's own start, and each message says where in the element. Asked of a variable as it was
+ * read, whose element is in memory already, so nothing is inflated; and like checkMatFile it never
+ * throws, and stops at its budget with a `budget` note.
+ */
+export function checkMatElement(element, options = {}) {
+    const check = new Check(options);
+    const view = new DataView(element.buffer, element.byteOffset, element.byteLength);
+    const space = { view, fileAt: () => 0, where: (o) => `Byte ${o} of its element` };
+    try {
+        if (element.byteLength < 8) {
+            check.file('element', 0, `The element holds ${element.byteLength} byte(s), fewer than one element's tag.`);
+        }
+        else if (view.getUint32(0, true) !== MI_MATRIX) {
+            check.file('element', 0, `The element is a data element of ${typeName(view.getUint32(0, true))}, not a matrix.`);
+        }
+        else {
+            topMatrix(check, space, 0, 8, Math.min(8 + view.getUint32(4, true), element.byteLength));
+        }
+    }
+    catch (err) {
+        const why = err instanceof OutOfBudget ? err.message : `an error in the check itself (${reasonOf(err)})`;
+        check.file('budget', 0, `The check of the element stopped at ${why}, so nothing from there on was checked.`, check.variable);
+    }
+    return check.out;
+}
+/**
+ * The violations of `after` that `before` does not have: what a rewrite of a file added to it.
+ *
+ * Matched by code and variable, never by offset or message, which an edit anywhere before a
+ * record moves; and counted, so a third violation of one kind in one variable is added where
+ * the original had two. `renamed` maps a variable's name in `after` to its name in `before`.
+ * A `budget` note in `after` is always added: a check that did not finish proves nothing about
+ * what it did not reach, whatever the original's check reached.
+ */
+export function violationsAdded(before, after, renamed = new Map()) {
+    const key = (code, variable) => `${code}\u0000${variable ?? ''}`;
+    const held = new Map();
+    for (const v of before) {
+        const k = key(v.code, v.variable);
+        held.set(k, (held.get(k) ?? 0) + 1);
+    }
+    const added = [];
+    for (const v of after) {
+        const k = key(v.code, v.variable === undefined ? undefined : renamed.get(v.variable) ?? v.variable);
+        const left = held.get(k) ?? 0;
+        if (v.code === 'budget' || left === 0) {
+            added.push(v);
+        }
+        else {
+            held.set(k, left - 1);
+        }
+    }
+    return added;
+}
+/**
+ * What `written` adds to `read` by the rules MATLAB loads a file by, as
+ * `violationsAdded(checkMatFile(read), checkMatFile(written), renamed)` says it, where `written`
+ * is `read` with some of its records kept as their own bytes, the others deleted or written anew,
+ * and records added: worked out from what changed, rather than by checking both files whole.
+ *
+ * WHY IT IS THE SAME ANSWER. What a record breaks depends on its bytes alone (checkRecord, which
+ * checkMatFile walks every record with: `at` only places what is said). So a record kept as its
+ * own bytes breaks in `written` what it broke in `read`, under the same variable, and the two
+ * cancel, by rule and variable, as violationsAdded counts them. What is left to compare is the
+ * records written, the records they replace, the header, and the rules of where records stand
+ * (checkPlacement), which are asked of both files whole, from each record's name and whether it
+ * holds the subsystem: of a kept record, read without walking the rest of it (Check.headOnly).
+ * That holds where three things do, and where one does not both files are checked whole:
+ *
+ *   - both files walk as their records are given: every record's tag declares exactly the bytes
+ *     it is given, and opens with a nonzero byte, which the tag of a type that is a multiple of
+ *     256 does not, and which the walk then takes for padding;
+ *   - no record of `read` is kept twice, or kept and replaced;
+ *   - no kept record holds a name `renamed` maps, which violationsAdded would compare its
+ *     violations under the other name of.
+ *
+ * A record deleted is one more in `read` than in `written`, which can only take from what is
+ * added: it is checked only when something is.
+ *
+ * THE BUDGET (MatCheckOptions) is spent on what is checked, the records written and the ones
+ * they replace, and not on the records kept, which are not walked: so a file past it is still
+ * checked where it changed, where checkMatFile of it would stop. A `budget` note on the written
+ * side is added, as violationsAdded adds every one; one on the read side only leaves less for a
+ * written record's violations to be matched with. A kept record whose name cannot be read within
+ * the budget is a `budget` note on the written side: where it stands cannot be judged.
+ */
+export function violationsAddedBySplice(read, written, renamed = new Map(), options = {}) {
+    const readBytes = read.records.map((r) => r.bytes);
+    const writtenBytes = written.records.map((r) => {
+        if ('kept' in r && !read.records[r.kept]) {
+            throw new RangeError(`A record kept as record ${r.kept} of a file of ${read.records.length}.`);
+        }
+        return 'kept' in r ? read.records[r.kept].bytes : r.written;
+    });
+    const whole = () => violationsAdded(checkMatFile(joined(read.header, readBytes), options), checkMatFile(joined(written.header, writtenBytes), options), renamed);
+    const taken = new Set();
+    for (const r of written.records) {
+        const from = 'kept' in r ? r.kept : r.replaces;
+        if (from !== null) {
+            if (taken.has(from)) {
+                return whole();
+            }
+            taken.add(from);
+        }
+    }
+    if (read.header.byteLength !== 128 || written.header.byteLength !== 128 || ![...readBytes, ...writtenBytes].every(walksAsGiven)) {
+        return whole();
+    }
+    const readHeader = headerOf(read.header);
+    const writtenHeader = headerOf(written.header);
+    if (readHeader.walked !== writtenHeader.walked) {
+        return whole();
+    }
+    if (!writtenHeader.walked) {
+        // checkMatFile reads neither file past its header.
+        return violationsAdded(readHeader.violations, writtenHeader.violations, renamed);
+    }
+    const readAt = offsetsOf(readBytes);
+    const writtenAt = offsetsOf(writtenBytes);
+    const heads = read.records.map((r, i) => headOf(r, readAt[i], options));
+    for (const r of written.records) {
+        const head = 'kept' in r ? heads[r.kept] : null;
+        if (head && !(head instanceof OutOfBudget) && head.name && renamed.has(head.name)) {
+            return whole();
+        }
+    }
+    // The written side: its header, every record written, and where every record stands.
+    const after = new Check(options);
+    const writtenInfos = [];
+    let walked = true;
+    try {
+        written.records.forEach((r, i) => {
+            if (!('kept' in r)) {
+                writtenInfos.push(checkRecord(after, r.written, writtenAt[i]));
+                return;
+            }
+            const head = heads[r.kept];
+            if (head instanceof OutOfBudget) {
+                throw new OutOfBudget(writtenAt[i], head.message);
+            }
+            writtenInfos.push(head && { ...head, at: writtenAt[i] });
+        });
+    }
+    catch (err) {
+        walked = false;
+        after.file('budget', ...stoppedAt(err, after.cursor));
+    }
+    if (walked) {
+        checkPlacement(after, writtenInfos.filter((x) => x !== null), writtenHeader.offset, endOf(writtenAt, writtenBytes));
+    }
+    const afterAll = [...writtenHeader.violations, ...after.out].sort((a, b) => a.at - b.at);
+    // The read side: its header, where every record stood, the records replaced, and the records
+    // deleted only when what is added so far could be matched with one of theirs.
+    const before = new Check(options);
+    const readInfos = heads.map((h, i) => (h instanceof OutOfBudget ? { at: readAt[i], name: null, subsystem: false } : h));
+    checkPlacement(before, readInfos.filter((x) => x !== null), readHeader.offset, endOf(readAt, readBytes));
+    const checkRead = (which) => {
+        try {
+            for (const i of which) {
+                checkRecord(before, read.records[i].bytes, readAt[i], read.records[i].inflated);
+            }
+            return true;
+        }
+        catch (err) {
+            before.file('budget', ...stoppedAt(err, before.cursor));
+            return false;
+        }
+    };
+    const replaced = written.records.flatMap((r) => ('kept' in r || r.replaces === null ? [] : [r.replaces]));
+    const readOn = checkRead(replaced);
+    let added = violationsAdded([...readHeader.violations, ...before.out], afterAll, renamed);
+    const deleted = read.records.map((_, i) => i).filter((i) => !taken.has(i));
+    if (added.some((v) => v.code !== 'budget') && deleted.length > 0 && readOn) {
+        checkRead(deleted);
+        added = violationsAdded([...readHeader.violations, ...before.out], afterAll, renamed);
+    }
+    return added;
+}
+// Whether the walk of a file (walkRecords) reads `record` as the record it is given as: its tag
+// declares exactly its bytes, and it does not open with a zero byte, which the walk reads as
+// padding or as the end of the records.
+function walksAsGiven(record) {
+    return record.byteLength >= 8 && record[0] !== 0
+        && 8 + new DataView(record.buffer, record.byteOffset, 8).getUint32(4, true) === record.byteLength;
+}
+// What checkMatFile says of a header, whether it reads on past it, and the subsystem's offset it gives.
+function headerOf(header) {
+    const check = new Check({});
+    const walked = checkHeader(check, header);
+    const offset = subsystemOffset(new DataView(header.buffer, header.byteOffset, header.byteLength), header);
+    return { violations: check.out, walked, offset };
+}
+// What the placement rules need of the record at byte `at`, read as checkRecord reads it but no
+// further (Check.headOnly), or the budget that stopped it. A compressed record whose inflate is
+// held is not inflated again, and spends none of the budget.
+function headOf(record, at, options) {
+    const check = new Check(options);
+    check.headOnly = true;
+    if (record.inflated) {
+        check.inflateLeft = MAT_RECORD_INFLATE_CEILING;
+    }
+    try {
+        return checkRecord(check, record.bytes, at, record.inflated);
+    }
+    catch (err) {
+        return err instanceof OutOfBudget ? err : new OutOfBudget(at, `an error in the check itself (${reasonOf(err)})`);
+    }
+}
+// The place and the words of the `budget` note of a check stopped by `err` in the record at
+// `cursor`: a budget run out (OutOfBudget, which says where), or a defect of the check's own.
+function stoppedAt(err, cursor) {
+    const at = err instanceof OutOfBudget ? err.at : cursor;
+    const why = err instanceof OutOfBudget ? err.message : `an error in the check itself (${reasonOf(err)})`;
+    return [at, `The check stopped at byte ${at}, at ${why}, so nothing from there on was checked.`];
+}
+// Where each of `records` starts, back to back after a 128-byte header.
+function offsetsOf(records) {
+    const out = [];
+    let at = 128;
+    for (const r of records) {
+        out.push(at);
+        at += r.byteLength;
+    }
+    return out;
+}
+function endOf(offsets, records) {
+    return offsets.length === 0 ? 128 : offsets[offsets.length - 1] + records[records.length - 1].byteLength;
+}
+function joined(header, records) {
+    const out = new Uint8Array(header.byteLength + endOf(offsetsOf(records), records) - 128);
+    out.set(header, 0);
+    let at = header.byteLength;
+    for (const r of records) {
+        out.set(r, at);
+        at += r.byteLength;
+    }
+    return out;
+}
+function checkFile(check, bytes) {
+    if (bytes.byteLength < 128) {
+        check.file('short-file', 0, `The file holds ${bytes.byteLength} bytes, fewer than the 128 of a MAT-file's header.`);
+        return;
+    }
+    if (!checkHeader(check, bytes)) {
+        return;
+    }
+    const view = new DataView(bytes.buffer, bytes.byteOffset, bytes.byteLength);
+    const offset = subsystemOffset(view, bytes);
+    const records = walkRecords(check, view, bytes, offset);
+    checkPlacement(check, records, offset, bytes.byteLength);
+}
+/** Whether the rest of the file is a Level-5 one to check, having said what the header breaks. */
+function checkHeader(check, bytes) {
+    // MATLAB looks at the first four bytes before anything else, and a zero in either 16-bit
+    // half of them makes it read the file as Level 4: a header text that opens with NULs.
+    if ((bytes[0] | bytes[1]) === 0 || (bytes[2] | bytes[3]) === 0) {
+        check.file('level4-lookalike', 0, 'A 16-bit half of the header\'s first four bytes is zero, so MATLAB reads '
+            + 'the file as a Level 4 MAT-file and fails the load. The header text must not open with NUL bytes.');
+    }
+    const mark = String.fromCharCode(bytes[126], bytes[127]);
+    const version = `${hex2(bytes[124])} ${hex2(bytes[125])}`;
+    if (mark === 'MI' && bytes[124] === 0x01 && bytes[125] === 0x00) {
+        check.file('big-endian', 126, 'The file is big-endian (\'MI\'). MATLAB reads one, but this package does not, '
+            + 'so nothing after the header was checked.');
+        return false;
+    }
+    if (mark !== 'IM' && mark !== 'MI') {
+        check.file('not-level5', 126, `Header bytes 126-127 are ${hex2(bytes[126])} ${hex2(bytes[127])}, not the endian mark `
+            + '\'IM\' of a Level-5 MAT-file, so MATLAB does not read it as one.');
+        return false;
+    }
+    if (mark === 'IM' && !(bytes[124] === 0x00 && bytes[125] === 0x01)) {
+        check.file('not-level5', 124, bytes[124] === 0x00 && bytes[125] === 0x02
+            ? 'Header bytes 124-125 are 00 02, the version 0x0200 of a -v7.3 (HDF5) file, which is not a Level-5 MAT-file.'
+            : `Header bytes 124-125 are ${version}, where a Level-5 MAT-file holds the version 0x0100 (bytes 00 01), `
+                + 'so MATLAB fails the load.');
+        return false;
+    }
+    if (mark === 'MI') {
+        check.file('not-level5', 124, `Header bytes 124-125 are ${version}, and a big-endian ('MI') file holds the version `
+            + '0x0100 as bytes 01 00: the version and the endian mark disagree, so MATLAB fails the load.');
+        return false;
+    }
+    return true;
+}
+function hex2(b) {
+    return b.toString(16).padStart(2, '0');
+}
+/** Header bytes 116-123: the subsystem's offset, where eight spaces mean 0 as zeros do. */
+function subsystemOffset(view, bytes) {
+    if (bytes.subarray(116, 124).every((b) => b === 0x20)) {
+        return 0;
+    }
+    return view.getUint32(120, true) * 2 ** 32 + view.getUint32(116, true);
+}
+/**
+ * Every record from byte 128 to the end of the file, each checked, and what the placement
+ * rules need of each. The walk is MATLAB's: a record is its 8-byte tag and the bytes the tag
+ * declares, and the next one starts right after them, whatever the alignment.
+ */
+function walkRecords(check, view, bytes, offset) {
+    const records = [];
+    const length = bytes.byteLength;
+    let at = 128;
+    while (at < length) {
+        check.cursor = at;
+        check.variable = undefined;
+        if (bytes[at] === 0) {
+            // No record tag opens with a zero byte (a record's type is 14 or 15), so this is padding,
+            // or the bytes after the last record, or a tag of type 0. Said once, as what it is.
+            const zeros = zeroRun(bytes, at);
+            const last = records[records.length - 1];
+            if (at + zeros === length && last !== undefined && last.at === offset && last.subsystem) {
+                // Measured: MATLAB loads a file with 8 zero bytes after its subsystem, because its
+                // load stops reading at the subsystem. They are no record all the same, and what
+                // MATLAB's own `save -append`, which reads past the subsystem, makes of them is not
+                // known, so they are said as the bytes that do not frame they are.
+                check.file('framing', at, `The file ends with ${zeros} zero byte(s) after the subsystem's record, which are no `
+                    + 'record: MATLAB\'s load does not read past the subsystem, but MATLAB writes nothing after it.');
+                break;
+            }
+            if (at + zeros === length) {
+                const after = last === undefined ? 'its header' : 'its last record';
+                check.file('framing', at, zeros < 8
+                    ? `The file ends with ${zeros} zero byte(s) after ${after}, fewer than a record's tag: `
+                        + 'MATLAB fails the load. Nothing may follow the last record.'
+                    : `The file ends with ${zeros} zero bytes after ${after}, which MATLAB reads as a record of type 0, `
+                        + 'and fails the load. Nothing may follow the last record.');
+                break;
+            }
+            if (zeros < 8 && at + zeros + 8 <= length && isRecordType(view.getUint32(at + zeros, true))) {
+                check.file('framing', at, `${zeros} zero byte(s) at byte ${at} pad the record before them: MATLAB reads the `
+                    + 'next record right where the last one\'s declared bytes end, and a compressed record is never padded, so '
+                    + 'it fails the load.');
+                at += zeros;
+                continue;
+            }
+            const word = at + 4 <= length ? view.getUint32(at, true) : 0;
+            check.file('framing', at, `The bytes at ${at} are no record's tag (they read as ${typeName(word)}): MATLAB `
+                + 'fails the load, and nothing after them was checked.');
+            break;
+        }
+        if (length - at < 8) {
+            check.file('framing', at, `The file ends ${length - at} byte(s) into a record's tag: MATLAB fails the load.`);
+            break;
+        }
+        const n = view.getUint32(at + 4, true);
+        if (at + 8 + n > length) {
+            check.file('framing', at, `The record at byte ${at} declares ${n} bytes, and the file holds ${length - at - 8} `
+                + 'after its tag: it is cut short, and MATLAB fails the load.');
+            break;
+        }
+        const info = checkRecord(check, bytes.subarray(at, at + 8 + n), at);
+        if (info) {
+            records.push(info);
+        }
+        at += 8 + n;
+    }
+    return records;
+}
+/**
+ * One top-level record, its tag and the bytes it declares, as the record at byte `at` of its
+ * file: checked, and what the placement rules need of it, or null for a record they do not
+ * see, one that is no matrix. What it breaks depends on its bytes alone: `at` places what is
+ * said, and nothing else of the file is read. `inflated` is a compressed record's payload,
+ * inflated, when the caller holds that already (violationsAddedBySplice).
+ */
+function checkRecord(check, record, at, inflated) {
+    check.cursor = at;
+    check.variable = undefined;
+    const view = new DataView(record.buffer, record.byteOffset, record.byteLength);
+    const type = view.getUint32(0, true);
+    const n = view.getUint32(4, true);
+    if (type === MI_MATRIX) {
+        return plainRecord(check, recordSpace(view, at), at, n);
+    }
+    if (type === MI_COMPRESSED) {
+        return compressedRecord(check, record.subarray(8, 8 + n), at, inflated);
+    }
+    check.file('top-level-type', at, `The record at byte ${at} is a data element of ${typeName(type)}: a variable is `
+        + 'stored as an miMATRIX or an miCOMPRESSED, and MATLAB fails the load on anything else.');
+    return null;
+}
+function zeroRun(bytes, at) {
+    let end = at;
+    while (end < bytes.byteLength && bytes[end] === 0)
+        end++;
+    return end - at;
+}
+function isRecordType(word) {
+    return word === MI_MATRIX || word === MI_COMPRESSED;
+}
+function typeName(type) {
+    return TYPE_NAMES[type] ?? `type ${type}`;
+}
+// A plain record, in a space that holds it from its tag (recordSpace).
+function plainRecord(check, space, at, n) {
+    if (n === 0) {
+        check.file('empty-matrix', at, `The record at byte ${at} is an miMATRIX of 0 bytes: MATLAB fails the load. `
+            + 'Only a matrix inside another may be empty.');
+        return { at, name: null, subsystem: false };
+    }
+    const info = topMatrix(check, space, at, 8, 8 + n);
+    if (n % 8 !== 0) {
+        check.file('framing', at, `The record at byte ${at} declares ${n} bytes, not a whole number of 8-byte words: `
+            + 'a plain record ends padded to 8 bytes, so this one is missing its final pad, and MATLAB fails the load.', info.name || undefined);
+    }
+    return info;
+}
+/**
+ * A compressed record: one zlib stream (RFC 1950) that inflates to one miMATRIX and nothing
+ * else, and ends at the record's last byte. Its matrix is then checked in the inflated bytes.
+ *
+ * `given`, when there is one, is what `inflateZlib` made of `payload` for the caller already (MatParser
+ * keeps it, MatVariable._rawBytes), taken for the inflate rather than inflating the payload
+ * again: the same function of the same bytes, so the same bytes, spent from the budget as an
+ * inflate of them is. Nothing else of what the caller read is taken.
+ */
+function compressedRecord(check, payload, at, given) {
+    const unread = { at, name: null, subsystem: false };
+    // Said once the record's name is known, if it can be, and ahead of what its matrix breaks.
+    const faults = [];
+    const fault = (text) => {
+        faults.push(`The compressed record at byte ${at} ${text}.`);
+    };
+    const first = check.out.length;
+    const done = (info) => {
+        const said = faults.map((message) => {
+            const v = { code: 'compressed-wrapper', at, message };
+            if (info.name)
+                v.variable = info.name;
+            return v;
+        });
+        check.out.splice(first, 0, ...said);
+        return info;
+    };
+    const head = zlibHeaderFault(payload);
+    if (head) {
+        fault(`${head}: MATLAB inflates a record only as a zlib stream, and fails the load`);
+        return done(unread);
+    }
+    const ceiling = Math.min(check.inflateLeft, MAT_RECORD_INFLATE_CEILING);
+    let inflated;
+    try {
+        if (given && given.byteLength > ceiling) {
+            throw new InflateCeilingError(ceiling);
+        }
+        inflated = given ?? inflateZlib(payload, ceiling);
+    }
+    catch (err) {
+        if (err instanceof InflateCeilingError) {
+            if (ceiling < MAT_RECORD_INFLATE_CEILING) {
+                throw new OutOfBudget(at, `more than the ${check.maxInflated} bytes one check inflates`);
+            }
+            fault(`inflates to more than the ${MAT_RECORD_INFLATE_CEILING} bytes one record of a -v7 file can hold`);
+            return done(unread);
+        }
+        fault(`does not inflate (${reasonOf(err)}): MATLAB fails the load`);
+        return done(unread);
+    }
+    check.inflateLeft -= inflated.byteLength;
+    // The stream ends with the Adler-32 of what it inflates to, so a record whose last four
+    // bytes are that checksum ends where its stream does. Anything else is bytes after the
+    // stream, which MATLAB's record never has, or a checksum that is wrong. Not asked for a
+    // record's name alone (headOnly), which it does not change.
+    const trailer = new DataView(payload.buffer, payload.byteOffset + payload.byteLength - 4, 4).getUint32(0, false);
+    if (!check.headOnly && trailer !== adler32(inflated)) {
+        fault('does not end with its zlib stream\'s checksum: bytes follow the stream inside the record, or the '
+            + 'checksum is wrong. MATLAB writes a record as exactly its stream');
+    }
+    if (inflated.byteLength < 8) {
+        fault(`inflates to ${inflated.byteLength} byte(s), fewer than one element's tag: MATLAB fails the load`);
+        return done(unread);
+    }
+    const view = new DataView(inflated.buffer, inflated.byteOffset, inflated.byteLength);
+    const type = view.getUint32(0, true);
+    const n = view.getUint32(4, true);
+    if (type === MI_COMPRESSED) {
+        fault('inflates to another compressed record: MATLAB never nests one, and fails the load');
+        return done(unread);
+    }
+    if (type !== MI_MATRIX) {
+        fault(`inflates to a data element of ${typeName(type)}, where a record holds a matrix: MATLAB fails the load`);
+        return done(unread);
+    }
+    if (n === 0) {
+        check.file('empty-matrix', at, `The compressed record at byte ${at} holds an miMATRIX of 0 bytes: MATLAB fails `
+            + 'the load. Only a matrix inside another may be empty.');
+        return done(unread);
+    }
+    const held = inflated.byteLength - 8;
+    if (n > held) {
+        fault(`holds a matrix that declares ${n} bytes, and it inflates to ${held} after the matrix's tag: `
+            + 'the matrix is cut short, and MATLAB fails the load');
+    }
+    else if (n < held) {
+        fault(`inflates to ${held - n} byte(s) after its matrix: MATLAB's record holds one matrix and nothing after it`);
+    }
+    return done(topMatrix(check, payloadSpace(view, at), at, 8, 8 + Math.min(n, held)));
+}
+/**
+ * Why `payload` is not a zlib stream by its first two bytes, or null when it opens like one:
+ * compression method 8 (deflate) with a window of at most 32 KiB, a header check that holds,
+ * and no preset dictionary, which MATLAB does not supply.
+ */
+function zlibHeaderFault(payload) {
+    if (payload.byteLength < 6) {
+        return `holds ${payload.byteLength} byte(s), fewer than the smallest zlib stream`;
+    }
+    const cmf = payload[0];
+    const flg = payload[1];
+    if (cmf === 0x1f && flg === 0x8b) {
+        return 'is a gzip stream, not a zlib one';
+    }
+    if ((cmf & 0x0f) !== 8 || cmf >> 4 > 7 || ((cmf << 8) | flg) % 31 !== 0) {
+        return `does not open with a zlib header (it opens ${hex2(cmf)} ${hex2(flg)}; raw deflate has none)`;
+    }
+    if (flg & 0x20) {
+        return 'is a zlib stream that needs a preset dictionary';
+    }
+    return null;
+}
+/** RFC 1950's checksum of `bytes`. */
+function adler32(bytes) {
+    let a = 1;
+    let b = 0;
+    const n = bytes.byteLength;
+    for (let i = 0; i < n;) {
+        // 5552 bytes is the most the sums take before they must be reduced to stay exact in 32 bits,
+        // and so certainly within a double.
+        const stop = Math.min(n, i + 5552);
+        for (; i < stop; i++) {
+            a += bytes[i];
+            b += a;
+        }
+        a %= 65521;
+        b %= 65521;
+    }
+    return (b * 65536 + a) >>> 0;
+}
+/**
+ * The tag of the sub-element at `o`, which has to end by `end`, or null when it does not, or
+ * when its small form declares more than the 4 bytes it can hold. Both are said here, so a
+ * caller that gets null stops reading the matrix and adds nothing.
+ */
+function readTag(check, space, o, end, what) {
+    if (o + 8 > end) {
+        check.report('nbytes', space, o, `the matrix ends ${end - o} byte(s) into the tag of its ${what}, so its `
+            + 'sub-elements do not fill it: MATLAB fails the load');
+        return null;
+    }
+    const word = space.view.getUint32(o, true);
+    const small = word >>> 16;
+    if (small !== 0) {
+        // The small form: the count in the upper half of the first word, the data in the second.
+        if (small > 4) {
+            check.report('element', space, o, `the ${what} has a small tag declaring ${small} bytes, more than the 4 `
+                + 'it holds: MATLAB fails the load');
+            return null;
+        }
+        return { type: word & 0xffff, n: small, data: o + 4, next: o + 8 };
+    }
+    const n = space.view.getUint32(o + 4, true);
+    // A matrix inside another is its tag and its declared bytes; a primitive is padded to 8.
+    const next = o + 8 + (word === MI_MATRIX ? n : align8(n));
+    if (next > end) {
+        const size = word === MI_MATRIX || n % 8 === 0 ? `${n} bytes` : `${n} bytes, ${align8(n)} with its pad,`;
+        check.report('nbytes', space, o, `the ${what} declares ${size} and the matrix holding it has `
+            + `${Math.max(0, end - o - 8)} left after its tag: MATLAB fails the load`);
+        return null;
+    }
+    return { type: word, n, data: o + 8, next };
+}
+function align8(n) {
+    return n + ((8 - (n % 8)) % 8);
+}
+/** A top-level record's matrix: checked, and what the placement rules need of it. */
+function topMatrix(check, space, at, start, end) {
+    const info = { at, name: null, subsystem: false };
+    check.spend(space, start);
+    const head = readHeader(check, space, start, end);
+    if (!head) {
+        return info;
+    }
+    info.name = recordName(check, at, head.name);
+    const stream = info.name === '' ? subsystemStream(space, head, end) : null;
+    info.subsystem = stream !== null;
+    if (check.headOnly) {
+        return info;
+    }
+    const p = classBody(check, space, head, end, 0);
+    if (p !== null) {
+        fillsExactly(check, space, p, end);
+    }
+    if (stream !== null) {
+        checkSubsystem(check, space, stream.start, stream.end);
+    }
+    return info;
+}
+/**
+ * A variable's name, having said what is wrong with it: '' for none, and for bytes that are
+ * not UTF-8 the name as far as it reads, so the violation can still say whose it is.
+ */
+function recordName(check, at, bytes) {
+    if (bytes.byteLength === 0) {
+        return '';
+    }
+    let name;
+    try {
+        name = strictUtf8.decode(bytes);
+    }
+    catch {
+        name = looseUtf8.decode(bytes);
+        check.variable = name;
+        check.file('name', at, `The variable name at byte ${at} is not valid UTF-8 (bytes ${Array.from(bytes, hex2).join(' ')}): `
+            + 'MATLAB crashes reading it, in `load` and in `whos -file` alike.', name);
+        return name;
+    }
+    check.variable = name;
+    if (!IDENTIFIER.test(name)) {
+        check.file('name', at, `The variable name "${name}" at byte ${at} is not a MATLAB identifier (a letter, then `
+            + 'letters, digits and underscores): `S = load(f)` fails on it, and `load(f)` leaves it out.', name);
+    }
+    else if (KEYWORDS.has(name)) {
+        check.file('name', at, `The variable name "${name}" at byte ${at} is a MATLAB keyword: MATLAB loads it as `
+            + `"${name}_", with a warning.`, name);
+    }
+    return name;
+}
+/**
+ * Everything before a matrix's class's own sub-elements: the array flags, the dimensions
+ * (which an opaque has none of), the name. Null, having said why, when they are not there to
+ * read as MATLAB reads them.
+ */
+function readHeader(check, space, start, end) {
+    const view = space.view;
+    const flagsTag = readTag(check, space, start, end, 'array flags');
+    if (!flagsTag) {
+        return null;
+    }
+    if (flagsTag.type !== MI_UINT32 || flagsTag.n !== 8) {
+        check.report('element', space, start, `the matrix's array flags are ${flagsTag.n} byte(s) of ${typeName(flagsTag.type)}, `
+            + 'where MATLAB writes and reads two miUINT32 words: it fails the load');
+        return null;
+    }
+    const flags = view.getUint32(flagsTag.data, true);
+    const cls = flags & 0xff;
+    if (cls < MX_CELL || cls > MX_OPAQUE) {
+        check.report('element', space, start, `the matrix's array class is ${cls}, which is no class MATLAB reads: `
+            + 'it fails the load');
+        return null;
+    }
+    let p = flagsTag.next;
+    const dims = [];
+    let numel = 1;
+    if (cls !== MX_OPAQUE) {
+        const dimsTag = readTag(check, space, p, end, 'dimensions');
+        if (!dimsTag) {
+            return null;
+        }
+        if (dimsTag.type !== MI_INT32 || dimsTag.n % 4 !== 0 || dimsTag.n < 8) {
+            check.report('element', space, p, `the matrix's dimensions are ${dimsTag.n} byte(s) of ${typeName(dimsTag.type)}, `
+                + 'where MATLAB writes and reads two or more miINT32 extents: it fails the load');
+            return null;
+        }
+        for (let i = 0; i < dimsTag.n; i += 4) {
+            const extent = view.getInt32(dimsTag.data + i, true);
+            if (extent < 0) {
+                check.report('element', space, p, `the matrix's dimension ${i / 4 + 1} is ${extent}, which is no size: `
+                    + 'MATLAB fails the load');
+                return null;
+            }
+            dims.push(extent);
+            numel *= extent;
+        }
+        p = dimsTag.next;
+    }
+    const nameTag = readTag(check, space, p, end, 'name');
+    if (!nameTag) {
+        return null;
+    }
+    if (nameTag.type !== MI_INT8 && nameTag.type !== MI_UINT8) {
+        check.report('element', space, p, `the matrix's name is ${typeName(nameTag.type)}, where MATLAB writes an `
+            + 'miINT8 one: it fails the load');
+        return null;
+    }
+    const name = new Uint8Array(view.buffer, view.byteOffset + nameTag.data, nameTag.n);
+    return { cls, flags, dims, numel, name, p: nameTag.next };
+}
+/** A matrix inside another: a cell's member, a struct's field, an object's data. */
+function nestedMatrix(check, space, start, end, depth) {
+    check.spend(space, start);
+    if (depth > MAX_NESTING) {
+        throw new OutOfBudget(space.fileAt(start), `a matrix nested more than ${MAX_NESTING} levels deep`);
+    }
+    const head = readHeader(check, space, start, end);
+    if (!head) {
+        return;
+    }
+    const p = classBody(check, space, head, end, depth);
+    if (p !== null) {
+        fillsExactly(check, space, p, end);
+    }
+}
+/** A matrix whose class's sub-elements end at `p` holds nothing after them. */
+function fillsExactly(check, space, p, end) {
+    if (p !== end) {
+        check.report('nbytes', space, p, `${end - p} byte(s) follow the matrix's last sub-element inside it: MATLAB reads `
+            + 'a matrix as its sub-elements back to back, and they must fill it exactly');
+    }
+}
+/**
+ * The sub-elements a matrix of `head.cls` holds after its name, checked: where they end, or
+ * null when a fault already said means the rest cannot be read.
+ */
+function classBody(check, space, head, end, depth) {
+    const cls = head.cls;
+    switch (cls) {
+        case MX_CELL:
+            return members(check, space, head.p, end, head.numel, depth, 'cell member');
+        case MX_STRUCT:
+            return structBody(check, space, head, head.p, end, depth);
+        case MX_OBJECT: {
+            const p = className(check, space, head.p, end);
+            return p === null ? null : structBody(check, space, head, p, end, depth);
+        }
+        case MX_CHAR:
+            return charBody(check, space, head, end);
+        case MX_SPARSE:
+            return sparseBody(check, space, head, end);
+        case MX_FUNCTION:
+            return members(check, space, head.p, end, head.numel, depth, 'function handle member');
+        case MX_OPAQUE: {
+            const sub = className(check, space, head.p, end, 'subsystem name');
+            const p = sub === null ? null : className(check, space, sub, end);
+            return p === null ? null : members(check, space, p, end, 1, depth, 'object data');
+        }
+        default:
+            return head.flags & SPARSE_BIT ? sparseBody(check, space, head, end) : numericBody(check, space, head, end);
+    }
+}
+/**
+ * `count` matrices back to back from `p`, each checked: a cell's members, a struct's fields
+ * (element by element, field by field), a function handle's parts, an object's data.
+ */
+function members(check, space, p, end, count, depth, what) {
+    for (let i = 0; i < count; i++) {
+        if (p >= end) {
+            check.report('nbytes', space, p, `the matrix holds ${i} of the ${count} ${what}(s) it declares: MATLAB fails the load`);
+            return null;
+        }
+        const tag = readTag(check, space, p, end, `${what} ${i + 1}`);
+        if (!tag) {
+            return null;
+        }
+        if (tag.type !== MI_MATRIX) {
+            check.report('element', space, p, `${what} ${i + 1} is a data element of ${typeName(tag.type)}, where MATLAB `
+                + 'reads only a matrix: it fails the load');
+            return null;
+        }
+        // An empty matrix here is a member MATLAB reads as [], and has no sub-elements to check,
+        // but it is spent as one: a billion of them is still a billion reads.
+        if (tag.n > 0) {
+            nestedMatrix(check, space, tag.data, tag.next, depth + 1);
+        }
+        else {
+            check.spend(space, p);
+        }
+        p = tag.next;
+    }
+    return p;
+}
+/** An miINT8 name after a matrix's own: an object's class name, an opaque's subsystem name. */
+function className(check, space, p, end, what = 'class name') {
+    const tag = readTag(check, space, p, end, what);
+    if (!tag) {
+        return null;
+    }
+    if ((tag.type !== MI_INT8 && tag.type !== MI_UINT8) || tag.n === 0) {
+        check.report('element', space, p, `the object's ${what} is ${tag.n} byte(s) of ${typeName(tag.type)}, where MATLAB `
+            + 'writes a name in miINT8: it fails the load');
+        return null;
+    }
+    return tag.next;
+}
+/** A struct's (or an object's) field-name length, its field names, then every field's value. */
+function structBody(check, space, head, p, end, depth) {
+    const widthTag = readTag(check, space, p, end, 'field-name length');
+    if (!widthTag) {
+        return null;
+    }
+    if (widthTag.type !== MI_INT32 || widthTag.n !== 4) {
+        check.report('element', space, p, `the struct's field-name length is ${widthTag.n} byte(s) of ${typeName(widthTag.type)}, `
+            + 'where MATLAB writes one miINT32: it fails the load');
+        return null;
+    }
+    const width = space.view.getInt32(widthTag.data, true);
+    const namesTag = readTag(check, space, widthTag.next, end, 'field names');
+    if (!namesTag) {
+        return null;
+    }
+    if (namesTag.type !== MI_INT8 && namesTag.type !== MI_UINT8) {
+        check.report('element', space, widthTag.next, `the struct's field names are ${typeName(namesTag.type)}, where MATLAB `
+            + 'writes miINT8: it fails the load');
+        return null;
+    }
+    if (width <= 0 && namesTag.n > 0) {
+        check.report('element', space, p, `the struct's field-name length is ${width}, with ${namesTag.n} byte(s) of names: `
+            + 'MATLAB fails the load');
+        return null;
+    }
+    // MATLAB counts the fields as the names' bytes over the length, whole names only.
+    const fields = width > 0 ? Math.floor(namesTag.n / width) : 0;
+    return members(check, space, namesTag.next, end, head.numel * fields, depth, 'field value');
+}
+/**
+ * A char array's data: miUTF8 holding as many UTF-16 units as the array's elements, miUTF16
+ * of two bytes each, or miUINT16 below U+0100 (MATLAB keeps only the low byte of a unit above
+ * it, and fails on a surrogate). A complex char array MATLAB does not load at all.
+ */
+function charBody(check, space, head, end) {
+    const tag = readTag(check, space, head.p, end, 'char data');
+    if (!tag) {
+        return null;
+    }
+    const numel = head.numel;
+    const view = space.view;
+    switch (tag.type) {
+        case MI_UTF8: {
+            let text = null;
+            try {
+                text = strictUtf8.decode(new Uint8Array(view.buffer, view.byteOffset + tag.data, tag.n));
+            }
+            catch {
+                check.report('char-type', space, head.p, 'the char array\'s miUTF8 data is not valid UTF-8');
+            }
+            if (text !== null && text.length !== numel) {
+                check.report('utf8-count', space, head.p, `the char array's miUTF8 data is ${text.length} UTF-16 unit(s) of text, `
+                    + `and the array has ${numel} element(s): MATLAB fails the load`);
+            }
+            break;
+        }
+        case MI_UTF16:
+            if (tag.n !== 2 * numel) {
+                check.report('data-size', space, head.p, `the char array's miUTF16 data is ${tag.n} byte(s), and the array has `
+                    + `${numel} element(s) of 2 bytes each`);
+            }
+            break;
+        case MI_UINT16:
+            if (tag.n !== 2 * numel) {
+                check.report('data-size', space, head.p, `the char array's miUINT16 data is ${tag.n} byte(s), and the array has `
+                    + `${numel} element(s) of 2 bytes each`);
+            }
+            for (let o = tag.data; o + 2 <= tag.data + tag.n; o += 2) {
+                const unit = view.getUint16(o, true);
+                if (unit > 0xff) {
+                    check.report('char-type', space, head.p, `the char array's miUINT16 data holds U+${unit.toString(16).toUpperCase().padStart(4, '0')}: `
+                        + 'MATLAB reads miUINT16 text one byte a character, keeping only the low byte of a unit above U+00FF '
+                        + 'and failing on a surrogate. Text beyond U+00FF is stored as miUTF8 or miUTF16');
+                    break;
+                }
+            }
+            break;
+        default:
+            check.report('char-type', space, head.p, `the char array's data is ${typeName(tag.type)}: MATLAB reads char data `
+                + 'only as miUTF8, miUTF16 or miUINT16, and fails the load');
+    }
+    let p = tag.next;
+    if (head.flags & COMPLEX_BIT) {
+        check.report('char-type', space, head.p, 'the char array is marked complex, and MATLAB loads a complex char array '
+            + 'as nothing');
+        const imag = readTag(check, space, p, end, 'imaginary char data');
+        if (!imag) {
+            return null;
+        }
+        p = imag.next;
+    }
+    return p;
+}
+/**
+ * A full numeric array's real part, and its imaginary part when it is complex. A double may be
+ * stored in any numeric type (MATLAB narrows integral doubles to the smallest that holds them);
+ * every other class only in its own.
+ */
+function numericBody(check, space, head, end) {
+    let p = head.p;
+    for (const part of head.flags & COMPLEX_BIT ? ['real part', 'imaginary part'] : ['data']) {
+        const tag = readTag(check, space, p, end, part);
+        if (!tag) {
+            return null;
+        }
+        checkNumbers(check, space, p, head, tag, part, head.numel);
+        p = tag.next;
+    }
+    return p;
+}
+/** One numeric part's type and size, against its array's class and `count` elements. */
+function checkNumbers(check, space, o, head, tag, part, count) {
+    const logical = head.flags & LOGICAL_BIT && head.cls === MX_UINT8;
+    const what = logical ? 'logical' : head.cls === MX_SPARSE ? 'sparse' : CLASS_NAMES[head.cls];
+    const width = WIDTH[tag.type];
+    const own = OWN_TYPE[head.cls];
+    if (own !== undefined && tag.type !== own) {
+        check.report('int-storage', space, o, `the ${what} array's ${part} is stored as ${typeName(tag.type)}, and MATLAB `
+            + `stores a ${what} array only as ${typeName(own)}: only a double is ever stored in a narrower type`);
+        return;
+    }
+    if (width === undefined) {
+        check.report('element', space, o, `the ${what} array's ${part} is ${typeName(tag.type)}, which MATLAB does not `
+            + 'read as numbers: it fails the load');
+        return;
+    }
+    if (tag.n % width !== 0 || tag.n / width !== count) {
+        check.report('data-size', space, o, `the ${what} array's ${part} is ${tag.n} byte(s) of ${typeName(tag.type)}, and it `
+            + `has ${count} element(s) of ${width} byte(s) each`);
+    }
+}
+/**
+ * A sparse array: its row indices, its column starts (one per column and one more), its
+ * non-zeros, and their imaginary parts when it is complex. MATLAB has sparse arrays of double,
+ * single and logical class only.
+ */
+function sparseBody(check, space, head, end) {
+    const cls = head.cls;
+    const logical = (head.flags & LOGICAL_BIT) !== 0;
+    if (!(cls === MX_SPARSE || cls === MX_DOUBLE || cls === MX_SINGLE || (cls === MX_UINT8 && logical))) {
+        check.report('element', space, head.p, `the matrix is a sparse ${CLASS_NAMES[cls]} array, and MATLAB has sparse `
+            + 'arrays of double, single and logical class only');
+    }
+    if (head.dims.length !== 2) {
+        check.report('element', space, head.p, `the sparse array has ${head.dims.length} dimensions, and a sparse array has 2`);
+    }
+    const ir = readTag(check, space, head.p, end, 'row indices');
+    if (!ir) {
+        return null;
+    }
+    const jc = readTag(check, space, ir.next, end, 'column starts');
+    if (!jc) {
+        return null;
+    }
+    for (const [tag, o, part] of [[ir, head.p, 'row indices'], [jc, ir.next, 'column starts']]) {
+        if (tag.type !== MI_INT32) {
+            check.report('element', space, o, `the sparse array's ${part} are ${typeName(tag.type)}, where MATLAB writes `
+                + 'miINT32');
+        }
+    }
+    const nonZeros = ir.type === MI_INT32 ? ir.n / 4 : Math.floor(ir.n / (WIDTH[ir.type] ?? 1));
+    if (jc.type === MI_INT32 && head.dims.length === 2 && jc.n !== 4 * (head.dims[1] + 1)) {
+        check.report('data-size', space, ir.next, `the sparse array's column starts are ${jc.n / 4} miINT32, and it has `
+            + `${head.dims[1]} column(s), which take one more`);
+    }
+    let p = jc.next;
+    for (const part of head.flags & COMPLEX_BIT ? ['real non-zeros', 'imaginary non-zeros'] : ['non-zeros']) {
+        const tag = readTag(check, space, p, end, part);
+        if (!tag) {
+            return null;
+        }
+        checkNumbers(check, space, p, { ...head, cls: cls === MX_SPARSE && logical ? MX_UINT8 : cls }, tag, part, nonZeros);
+        p = tag.next;
+    }
+    return p;
+}
+/**
+ * Where the subsystem data an unnamed record holds is, or null when it holds none: the data of
+ * a real uint8 array, opening as a MAT stream does (00 01 49 4D). Read without a word said,
+ * since `classBody` checks the same sub-element as the array's data.
+ */
+function subsystemStream(space, head, end) {
+    const view = space.view;
+    if (head.cls !== MX_UINT8 || head.flags & (LOGICAL_BIT | COMPLEX_BIT | SPARSE_BIT) || head.p + 16 > end) {
+        return null;
+    }
+    const n = view.getUint32(head.p + 4, true);
+    const start = head.p + 8;
+    if (view.getUint32(head.p, true) !== MI_UINT8 || n < 8 || start + n > end) {
+        return null;
+    }
+    return STREAM_MAGIC.every((b, i) => view.getUint8(start + i) === b) ? { start, end: start + n } : null;
+}
+/**
+ * The subsystem's stream, checked as MATLAB reads it when it loads an object: its 8-byte
+ * preamble, then matrices back to back to its last byte. The second half of the preamble's
+ * reserved word says the stream's tags are 32-bit, as in every file MATLAB was seen writing;
+ * a stream that says otherwise is not walked.
+ */
+function checkSubsystem(check, space, start, end) {
+    if (space.view.getUint16(start + 4, true) !== 0) {
+        return;
+    }
+    check.inSubsystem = true;
+    try {
+        let o = start + 8;
+        while (o < end) {
+            const element = readTag(check, space, o, end, 'subsystem element');
+            if (!element) {
+                return;
+            }
+            if (element.type !== MI_MATRIX) {
+                check.report('element', space, o, `the subsystem's stream holds a data element of ${typeName(element.type)}, `
+                    + 'where it holds only matrices');
+                return;
+            }
+            if (element.n > 0) {
+                nestedMatrix(check, space, element.data, element.next, 1);
+            }
+            else {
+                check.spend(space, o);
+            }
+            o = element.next;
+        }
+    }
+    finally {
+        check.inSubsystem = false;
+    }
+}
+/**
+ * The rules about where records are: the header's offset points at the subsystem, the
+ * subsystem is last, no other record is unnamed, no name is stored twice.
+ */
+function checkPlacement(check, records, offset, length) {
+    let subsystem = -1;
+    if (offset !== 0) {
+        const i = records.findIndex((r) => r.at === offset);
+        const record = records[i];
+        const field = `Header bytes 116-123 give the subsystem's offset as ${offset}`;
+        const fails = 'MATLAB reads the objects in the file only from there, and fails the load';
+        if (!record) {
+            check.file('subsystem-offset', 116, offset < 128 || offset >= length
+                ? `${field}, outside the file's records: ${fails}.`
+                : `${field}, where no record starts: ${fails}.`);
+        }
+        else if (record.name === null) {
+            // The record there could not be read, which is said where it is.
+        }
+        else if (record.name !== '') {
+            check.file('subsystem-offset', 116, `${field}, which is variable "${record.name}", not the subsystem: ${fails}.`);
+        }
+        else if (!record.subsystem) {
+            check.file('subsystem-offset', 116, `${field}, an unnamed record that holds no subsystem data: ${fails}.`);
+        }
+        else {
+            subsystem = i;
+        }
+    }
+    else {
+        for (const r of records) {
+            if (r.subsystem) {
+                check.file('subsystem-offset', 116, `Header bytes 116-123 say the file has no subsystem, and the record at byte `
+                    + `${r.at} is one: MATLAB then reads none of the objects in the file, and fails the load.`);
+            }
+        }
+    }
+    if (subsystem >= 0) {
+        for (const r of records.slice(subsystem + 1)) {
+            const what = r.name ? `Variable "${r.name}"` : `The record at byte ${r.at}`;
+            check.file('subsystem-not-last', r.at, `${what} is stored after the subsystem (byte ${records[subsystem].at}): `
+                + 'MATLAB stops reading variables at the subsystem, so `load` silently leaves it out.', r.name || undefined);
+        }
+    }
+    records.forEach((r, i) => {
+        if (r.name !== '' || i === subsystem) {
+            return;
+        }
+        const after = records.length - i - 1;
+        const what = r.subsystem
+            ? `The record at byte ${r.at} holds subsystem data, and the header's offset does not point at it`
+            : `The record at byte ${r.at} has no name`;
+        check.file('anonymous-record', r.at, `${what}: MATLAB stops reading variables at the first unnamed record, which `
+            + 'is the subsystem\'s place'
+            + (after > 0 ? `, so \`load\` silently leaves out the ${after} record(s) after it.` : ', and leaves it out of `load`.'));
+    });
+    const first = new Map();
+    for (const r of records) {
+        if (!r.name) {
+            continue;
+        }
+        const seen = first.get(r.name);
+        if (seen === undefined) {
+            first.set(r.name, r.at);
+        }
+        else {
+            check.file('duplicate-name', r.at, `Variable "${r.name}" is stored again at byte ${r.at} (first at byte ${seen}): `
+                + 'MATLAB loads both, `load(f)` keeping the last and `load(f, name)` the first.', r.name);
+        }
+    }
+}
+//# sourceMappingURL=MatFileCheck.js.map
\ No newline at end of file
diff --git a/dist/datamodel/parser/MatFileCheck.js.map b/dist/datamodel/parser/MatFileCheck.js.map
new file mode 100644
index 00000000..349ee384
--- /dev/null
+++ b/dist/datamodel/parser/MatFileCheck.js.map
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/dist/datamodel/parser/MatFileWriter.d.ts b/dist/datamodel/parser/MatFileWriter.d.ts
new file mode 100644
index 00000000..18d78e17
--- /dev/null
+++ b/dist/datamodel/parser/MatFileWriter.d.ts
@@ -0,0 +1,80 @@
+import type { MatRecord } from './MatParser.js';
+import { MatWriteError } from './MatWriter.js';
+import type { MatCheckOptions } from './MatFileCheck.js';
+import type BaseNode from '../node/BaseNode.js';
+import type MatNode from '../node/container/MatNode.js';
+/**
+ * The bytes of the MAT-file `matNode` is, as it stands now: what was edited written fresh,
+ * everything else as the bytes it was read from. Throws MatWriteError, naming the variable or
+ * the file and why, for anything it cannot write as what it is (see the file header), and
+ * never hands back bytes that did not read back as planned.
+ *
+ * `check` is the budget of the check of what was written (MatFileCheck), its own by default:
+ * for tests, which cannot make a file a gigabyte past it.
+ */
+export declare function serializeMatFile(matNode: MatNode, check?: MatCheckOptions): Uint8Array;
+/**
+ * The refusal of every save of `matNode`, an unedited one included, or null: a tree opened
+ * without the records a save writes back, one whose bytes the host has since handed away, and
+ * a file whose records do not tile it. Asked first by serializeMatFile, and by the editor, which
+ * takes no edit of a file no save can write (MatNode._editRefusal).
+ */
+export declare function unsavableRefusal(matNode: MatNode): MatWriteError | null;
+export declare function subsystemOf(matNode: MatNode, records: MatRecord[]): MatRecord | null;
+/** Why the edit of a variable stored after the subsystem is refused (planOf, and the editor's gate). */
+export declare const PAST_SUBSYSTEM: string;
+/**
+ * The refusal of a save of a file with an unnamed record that is not its subsystem, or whose
+ * header puts its subsystem where no unnamed record starts, or null: such a save cannot place
+ * what it writes where MATLAB reads it. Measured against MATLAB R2027a, MATLAB lists no variable
+ * past the first unnamed record, and a header offset that is not the subsystem's fails the whole
+ * load. Asked only of a save that changes the file: one that does not hands back the bytes it was
+ * read from. So the editor asks it of every edit (MatNode._editRefusal).
+ */
+export declare function structureRefusal(matNode: MatNode, records: MatRecord[], subsystem: MatRecord | null): MatWriteError | null;
+/** Why a variable is not written under `name`, which another variable of the file has (refuseDuplicates, and the editor's gate). */
+export declare function duplicateWhy(name: string): string;
+/**
+ * Why the variable read from `record` cannot be renamed, or null where it can: its record is not
+ * one whole element whose name can be replaced (elementOfRecord, MatWriter.elementNamed), which a
+ * record MATLAB writes always is. Asked by renamedOf, and by a rename before it is made
+ * (MatNode._renameRefusal), once a record: the records never change, and asking inflates one.
+ */
+export declare function renameWhy(record: MatRecord): string | null;
+/**
+ * The refusal a save throws for writing `node` fresh, the variable `record` became or one added
+ * since (no record), or null where nothing about what it is refuses it: what an edit of anything
+ * of it but its own name asks of a save. A name that is no MATLAB name by the rule a rename is
+ * held to; a variable that was not a plain value, or whose node is a typed object's (freshOf); one
+ * holding what this writer cannot write at any depth (unwritableIn); one with no form at all, a
+ * container none of whose elements could be read (_heldNone) or a size that is no count
+ * (_refuseNoSize); one holding a container read short at any depth (shortIn); and one stored in
+ * a form MATLAB does not load as it is (storedRefusal).
+ *
+ * One rule for freshOf, which throws it, and for the editor, which takes no edit a save would
+ * refuse so (MatNode._editRefusal): the two cannot come to disagree. What it does not judge is
+ * what only the value's bytes say, MatWriter's budget among them, which freshElement meets.
+ */
+export declare function freshRefusal(node: BaseNode, record: MatRecord | null): MatWriteError | null;
+/**
+ * The first node at or under `at` that MatWriter cannot write as what it is (the rule of
+ * MatlabVariableNode._matWritable), with its MATLAB path and what it is, or null for none. Asked
+ * by freshRefusal, and by the editor of a value about to be typed in (MatNode._valueRefusal).
+ *
+ * A container the node ceiling built without its rows (_cutByCeiling) is written as the variable
+ * it was read as (MatlabVariableNode._var), so that variable is what is asked of it, and not its
+ * rows, which _matWritable would find none of to refuse: a cell of function handles, cut, said
+ * nothing, and its edit was refused by MatWriter at the save.
+ */
+export declare function unwritableIn(at: BaseNode): {
+    path: string;
+    what: string;
+} | null;
+/**
+ * The miCOMPRESSED record of `stream`, the zlib stream of the variable `name`'s element: its tag
+ * and the stream. Refused for a stream of 4 GiB or more, whose length the tag's 32 bits cannot
+ * say: written, its length would wrap, and the record would declare a few bytes of a stream that
+ * goes on. Exported for test/matFileSave.test.ts, which holds it to that without a stream so big.
+ */
+export declare function compressedRecordOf(stream: Uint8Array, name: string): Uint8Array;
+//# sourceMappingURL=MatFileWriter.d.ts.map
\ No newline at end of file
diff --git a/dist/datamodel/parser/MatFileWriter.d.ts.map b/dist/datamodel/parser/MatFileWriter.d.ts.map
new file mode 100644
index 00000000..1866756b
--- /dev/null
+++ b/dist/datamodel/parser/MatFileWriter.d.ts.map
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/dist/datamodel/parser/MatFileWriter.js b/dist/datamodel/parser/MatFileWriter.js
new file mode 100644
index 00000000..97c4c72a
--- /dev/null
+++ b/dist/datamodel/parser/MatFileWriter.js
@@ -0,0 +1,1051 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// A save of a Level-5 MAT-file (`-v6`, `-v7`): the file it was read from, with what was edited
+// written fresh and everything else written as the bytes it was read from.
+//
+// WHY A SPLICE. A MAT-file is a header and a run of top-level records, each one variable, and
+// the last one, unnamed, the subsystem that holds every object of the file. Nothing in a record
+// points at another record, and nothing in the subsystem names a variable. So a record nobody
+// edited can be written back as its own bytes, compressed as it was, which no re-encode
+// reproduces: inflated and deflated again by fflate at level 6, 18 of the 78 compressed records
+// of test/parity/artifacts/mat/cases.mat come back as they were. And the reader holds what it
+// did not read (a record it could not inflate, a class it does not model) only as bytes. This
+// is MATLAB's own update model too: measured against MATLAB R2027a, `save -append` copies every
+// record it does not replace byte for byte, a compressed one included, keeps the header's text,
+// and writes the subsystem last.
+//
+// What each record of the file becomes, in the file's order (plan):
+//
+//   the node it became was deleted         nothing
+//   unedited                               its own bytes
+//   only renamed                           its element with the name replaced (MatWriter.
+//                                          elementNamed), compressed again if it was
+//   its value edited, a plain value        written fresh (MatlabVariableNode._matStream),
+//                                          named, compressed when the file holds any
+//                                          compressed record
+//   no node: the subsystem, a record the   its own bytes
+//   reader dropped
+//
+// and a variable added since the read is written fresh, after the last variable and before the
+// subsystem. The header keeps its 116 bytes of text and its version and byte-order mark, and
+// bytes 116-123 say where the subsystem now starts, which MATLAB trusts without a scan
+// (measured against MATLAB R2027a: a stale offset fails the whole load).
+//
+// "Unedited" is decided by the node's status, which every edit sets (DataNode._markModified),
+// and never by whether a value still has the bytes it was read from: those stay on a variable
+// after an edit. "Only renamed" is the status, a name that is not the record's, and no edit of
+// the value (DataNode._valueEdited).
+//
+// EVERY DOUBT REFUSES THE SAVE. A save that cannot write a variable as what it is throws a
+// MatWriteError naming it, and nothing is written: an object, a function handle or a value the
+// reader did not decode, whose edit this writer cannot write; a variable stored in a form MATLAB
+// does not load as it is, whose value as read is this reader's guess at it; a variable stored
+// after the subsystem, where MATLAB does not read it; a file whose records do not tile it, or that was
+// opened without them. And before the bytes are handed back, every record written anew is read
+// again, and one that does not read back as planned refuses the save as well (selfCheck), as does
+// a file that breaks a rule MATLAB loads a file by that the file it was read from did not break
+// (MatFileCheck). Both are asked of what the save changed, and of where every record stands: a
+// record written as its own bytes is the record it was read as, and breaks what that one broke.
+//
+// The editor takes none of the edits refused for what a variable is or where it stands: its gate
+// (MatNode._editRefusal) is built of the refusals exported here (unsavableRefusal,
+// structureRefusal, freshRefusal, renameWhy, PAST_SUBSYSTEM, duplicateWhy), so that an edit it takes
+// is one a save writes, and the two cannot come to disagree. What is left to refuse at the save is
+// what only a value's bytes say: MatWriter's budget, and the two checks of what was written.
+import { zlibSync } from 'fflate';
+import { inflateZlib } from './Inflate.js';
+import { parseMat, functionHandleOf } from './MatParser.js';
+import { MatBudgetError, MatWriteError, classPhrase, elementNamed, encodeMatVariable } from './MatWriter.js';
+import { checkMatElement, violationsAddedBySplice } from './MatFileCheck.js';
+import { integerConversion } from './XmlUtils.js';
+import { validateMatlabName } from '../matlabName.js';
+const MI_MATRIX = 14;
+const MI_COMPRESSED = 15;
+/**
+ * The bytes of the MAT-file `matNode` is, as it stands now: what was edited written fresh,
+ * everything else as the bytes it was read from. Throws MatWriteError, naming the variable or
+ * the file and why, for anything it cannot write as what it is (see the file header), and
+ * never hands back bytes that did not read back as planned.
+ *
+ * `check` is the budget of the check of what was written (MatFileCheck), its own by default:
+ * for tests, which cannot make a file a gigabyte past it.
+ */
+export function serializeMatFile(matNode, check = {}) {
+    const file = matNode.name;
+    const unsavable = unsavableRefusal(matNode);
+    if (unsavable) {
+        throw unsavable;
+    }
+    const records = matNode.records;
+    const headerBytes = matNode.headerBytes;
+    const subsystem = subsystemOf(matNode, records);
+    const plan = planOf(matNode, records, subsystem);
+    // Nothing deleted, renamed, edited or added: the file, as it was read.
+    if (plan.length === records.length && plan.every((p, i) => p.kind === 'verbatim' && p.record === records[i])) {
+        return concat([headerBytes, ...records.map((r) => r.bytes)], fileTooBig(file));
+    }
+    const structure = structureRefusal(matNode, records, subsystem);
+    if (structure) {
+        throw structure;
+    }
+    const assembled = assemble(file, headerBytes, plan, subsystem);
+    selfCheck(file, assembled, plan, headerBytes);
+    refuseWorse(file, assembled, plan, headerBytes, records, check);
+    return assembled.bytes;
+}
+/**
+ * The refusal of every save of `matNode`, an unedited one included, or null: a tree opened
+ * without the records a save writes back, one whose bytes the host has since handed away, and
+ * a file whose records do not tile it. Asked first by serializeMatFile, and by the editor, which
+ * takes no edit of a file no save can write (MatNode._editRefusal).
+ */
+export function unsavableRefusal(matNode) {
+    const file = matNode.name;
+    const { records, headerBytes } = matNode;
+    if (!records || !headerBytes) {
+        return new MatWriteError('Cannot save "' + file + '": it was opened without the records a save writes back, so a save would lose every one '
+            + 'this package did not read. Nothing was written.');
+    }
+    // The records are views of the bytes the file was read from, which a host that transfers
+    // them to a worker afterwards empties: what was not edited would be written as nothing.
+    const gone = headerBytes.byteLength !== 128 ? { offset: 0, length: 128, bytes: headerBytes } : records.find((r) => r.bytes.byteLength !== r.length);
+    if (gone) {
+        return new MatWriteError('Cannot save "' + file + '": the bytes it was read from are no longer held (the ' + (gone.offset === 0 ? 'header' : 'record at byte ' + gone.offset)
+            + ' holds ' + gone.bytes.byteLength + ' of its ' + gone.length + '), so what was not edited could not be written as it was. '
+            + 'Nothing was written.');
+    }
+    if (!matNode.framed) {
+        const at = matNode.unframed?.at ?? 128;
+        const unframedBytes = headerBytes.buffer.byteLength - headerBytes.byteOffset - at;
+        return new MatWriteError('Cannot save "' + file + '": this package could not frame ' + unframedBytes + ' byte(s) of it, from byte ' + at
+            + (matNode.unframed ? ' (' + matNode.unframed.reason + ')' : '')
+            + ', so a save could not keep them as they are. Nothing was written.');
+    }
+    return null;
+}
+// The record `matNode`'s header says its subsystem starts at, or null when it says there is none,
+// or names a byte where no unnamed record starts (structureRefusal). By offset, and not by which
+// record has no name: a matrix too short for its own flags reads as unnamed too. And unnamed,
+// because a variable the header points at is a variable, whose edit is written or refused as
+// any other's, and not passed over as the subsystem it is not.
+export function subsystemOf(matNode, records) {
+    if (matNode.subsystemOffset === 0) {
+        return null;
+    }
+    return records.find((r) => r.offset === matNode.subsystemOffset && r.anonymous) ?? null;
+}
+// The file's records, each as a save writes it, in the file's order, and every variable added
+// since the read just before the subsystem, or at the end of a file with none, in the order they
+// were added. A record that became no node (the subsystem, one the reader dropped) is its own
+// bytes. One past the subsystem, which MATLAB does not read, is too, and its edit refuses the
+// save: written where it is, MATLAB still would not read it, and moved, what MATLAB loads of the
+// file would change. Deleting one changes nothing MATLAB loads, and is written.
+function planOf(matNode, records, subsystem) {
+    const compress = records.some((r) => r.compressed);
+    const added = matNode.children.filter((c) => matNode.recordOf(c) === null);
+    const plan = [];
+    const addAdded = () => {
+        for (const node of added) {
+            plan.push(freshOf(node, null, compress));
+        }
+    };
+    let pastSubsystem = false;
+    for (const record of records) {
+        if (record === subsystem) {
+            addAdded();
+            plan.push({ kind: 'verbatim', record });
+            pastSubsystem = true;
+            continue;
+        }
+        const node = matNode.nodeOf(record);
+        if (!node) {
+            plan.push({ kind: 'verbatim', record });
+            continue;
+        }
+        if (node.parent !== matNode) {
+            continue;
+        }
+        const edit = editOf(node, record);
+        if (edit === 'none') {
+            plan.push({ kind: 'verbatim', record });
+        }
+        else if (pastSubsystem) {
+            throw refusal(node.name, PAST_SUBSYSTEM);
+        }
+        else if (edit === 'name') {
+            plan.push(renamedOf(node, record));
+        }
+        else {
+            plan.push(freshOf(node, record, compress));
+        }
+    }
+    if (!subsystem) {
+        addAdded();
+    }
+    refuseDuplicates(plan);
+    return plan;
+}
+// What has happened to the variable `record` became, `node`: decided by its status, which every
+// edit sets (DataNode._markModified), and by whether anything but its own rename set it
+// (DataNode._valueEdited). A rename undone leaves the status set and the name the file's: it is
+// unedited. Its name is asked whatever the status, so that a rename made around the API, which
+// sets none, is still written as one.
+function editOf(node, record) {
+    const { status, _valueEdited } = node;
+    if (status === 'New' || (status === 'Modified' && _valueEdited)) {
+        return 'value';
+    }
+    return node.name !== record.name ? 'name' : 'none';
+}
+/** Why the edit of a variable stored after the subsystem is refused (planOf, and the editor's gate). */
+export const PAST_SUBSYSTEM = "it is stored after the file's objects, where MATLAB does not read it, so it would not be read written there, "
+    + 'and moved, it would change what MATLAB loads of the file';
+/**
+ * The refusal of a save of a file with an unnamed record that is not its subsystem, or whose
+ * header puts its subsystem where no unnamed record starts, or null: such a save cannot place
+ * what it writes where MATLAB reads it. Measured against MATLAB R2027a, MATLAB lists no variable
+ * past the first unnamed record, and a header offset that is not the subsystem's fails the whole
+ * load. Asked only of a save that changes the file: one that does not hands back the bytes it was
+ * read from. So the editor asks it of every edit (MatNode._editRefusal).
+ */
+export function structureRefusal(matNode, records, subsystem) {
+    const file = matNode.name;
+    const offset = matNode.subsystemOffset;
+    if (offset !== 0 && !subsystem) {
+        return new MatWriteError('Cannot save "' + file + '": its header places the file\'s objects at byte ' + offset + ', where '
+            + (records.some((r) => r.offset === offset) ? 'a variable is' : 'no record starts') + ', so a save cannot say where they are. '
+            + 'Nothing was written.');
+    }
+    const stray = records.find((r) => r.anonymous && r !== subsystem);
+    if (stray) {
+        return new MatWriteError('Cannot save "' + file + '": the record at byte ' + stray.offset + ' holds a value with no name that is not the '
+            + 'file\'s objects, and MATLAB reads no variable past one, so a save cannot place an edit where MATLAB reads it. '
+            + 'Nothing was written.');
+    }
+    return null;
+}
+// Two records of one name: MATLAB loads one of them (measured against MATLAB R2027a: `load f`
+// keeps the last, `load f x` the first). A file that holds two keeps them, as it was read; a
+// rename or an addition that would make two is refused, naming the variable. A record the reader
+// could not read a name out of is held to none (MatNode._namespaceHolds says why).
+function refuseDuplicates(plan) {
+    const count = new Map();
+    const nameOf = (p) => (p.kind === 'verbatim' ? p.record.name : p.name);
+    for (const p of plan) {
+        count.set(nameOf(p), (count.get(nameOf(p)) ?? 0) + 1);
+    }
+    for (const p of plan) {
+        if (p.kind !== 'verbatim' && count.get(p.name) > 1) {
+            throw refusal(p.name, duplicateWhy(p.name));
+        }
+    }
+}
+/** Why a variable is not written under `name`, which another variable of the file has (refuseDuplicates, and the editor's gate). */
+export function duplicateWhy(name) {
+    return 'the file holds another variable named "' + name + '", and MATLAB loads only one of them';
+}
+// The refusal of a save for variable `name`, worded as every refused write is (MatWriter's
+// budgetFailure, DataNode's): the variable, why, and that nothing was written.
+function refusal(name, why) {
+    return new MatWriteError('Cannot write "' + name + '": ' + why + '. Nothing was written.');
+}
+// A name this writer puts in an element: a valid MATLAB name, by the rule a rename is held to
+// (matlabName), which is stricter than MATLAB's and holds for older releases. A variable added
+// by a caller that named it itself (MatNode.execAddEntry) has had no other check.
+function refuseName(name) {
+    const error = validateMatlabName(name);
+    if (error) {
+        throw refusal(name, 'it is not a name MATLAB can load (' + error + ')');
+    }
+}
+// ---- What a renamed or an edited record is written as -----------------------------------------
+// The record of a variable only renamed: its element as read, with the name subelement replaced
+// (MatWriter.elementNamed) and every other byte copied, compressed again when it was. An object
+// variable, a function handle and a value the reader did not decode are renamed so as well:
+// nothing of them but their name is written.
+function renamedOf(node, record) {
+    const name = node.name;
+    refuseName(name);
+    const why = renameWhy(record);
+    if (why) {
+        throw refusal(name, why);
+    }
+    const element = elementOfRecord(record);
+    return { kind: 'renamed', record, name, bytes: recordBytes(elementNamed(element, name), record.compressed, name), element };
+}
+/**
+ * Why the variable read from `record` cannot be renamed, or null where it can: its record is not
+ * one whole element whose name can be replaced (elementOfRecord, MatWriter.elementNamed), which a
+ * record MATLAB writes always is. Asked by renamedOf, and by a rename before it is made
+ * (MatNode._renameRefusal), once a record: the records never change, and asking inflates one.
+ */
+export function renameWhy(record) {
+    let can = renamable.get(record);
+    if (can === undefined) {
+        const element = elementOfRecord(record);
+        can = !!element && elementNamed(element, '') !== null;
+        renamable.set(record, can);
+    }
+    return can ? null : 'the record it was read from, at byte ' + record.offset + ', is not a whole element whose name can be replaced, so it cannot be renamed';
+}
+const renamable = new WeakMap();
+// The record of a value written fresh: `node`'s, an edited variable read from `record` or one
+// added since, named, and compressed when the file holds any compressed record, so that a `-v6`
+// file, which holds none and is readable by every MATLAB, stays one.
+//
+// Only a plain MATLAB value is written fresh. A variable that was an object, a string, a function
+// handle or a value the reader did not decode is refused when anything but its name changed, as
+// is a typed object's node, whatever it holds now: this writer has no encoder for an object, and
+// the record's own bytes, which are the only thing it could write, are no longer the value.
+function freshOf(node, record, compress) {
+    const name = node.name;
+    const refused = freshRefusal(node, record);
+    if (refused) {
+        throw refused;
+    }
+    const value = valueNodeOf(node);
+    const named = elementNamed(globalAsRead(freshElement(value), record), name);
+    if (!named) {
+        throw refusal(name, 'the element written for it has no name to replace');
+    }
+    return { kind: 'fresh', record, node: value, name, bytes: recordBytes(named, compress, name) };
+}
+/**
+ * The refusal a save throws for writing `node` fresh, the variable `record` became or one added
+ * since (no record), or null where nothing about what it is refuses it: what an edit of anything
+ * of it but its own name asks of a save. A name that is no MATLAB name by the rule a rename is
+ * held to; a variable that was not a plain value, or whose node is a typed object's (freshOf); one
+ * holding what this writer cannot write at any depth (unwritableIn); one with no form at all, a
+ * container none of whose elements could be read (_heldNone) or a size that is no count
+ * (_refuseNoSize); one holding a container read short at any depth (shortIn); and one stored in
+ * a form MATLAB does not load as it is (storedRefusal).
+ *
+ * One rule for freshOf, which throws it, and for the editor, which takes no edit a save would
+ * refuse so (MatNode._editRefusal): the two cannot come to disagree. What it does not judge is
+ * what only the value's bytes say, MatWriter's budget among them, which freshElement meets.
+ */
+export function freshRefusal(node, record) {
+    const name = node.name;
+    const nameError = validateMatlabName(name);
+    if (nameError) {
+        return refusal(name, 'it is not a name MATLAB can load (' + nameError + ')');
+    }
+    const was = record?.variable ? notPlain(record.variable) : null;
+    const value = valueNodeOf(node);
+    if (was || !value) {
+        const what = was ?? classPhrase(String(node.className || 'object'));
+        return refusal(name, 'it is ' + what + ', which a MAT-file save writes only as it was read, or renamed, so its edit cannot be saved');
+    }
+    const unwritable = unwritableIn(value);
+    if (unwritable) {
+        return refusal(name, unwritable.path + ' is ' + unwritable.what + ', which this package cannot write into a MAT-file');
+    }
+    if (value._heldNone()) {
+        return value._heldNoneRefusal();
+    }
+    try {
+        value._refuseNoSize();
+    }
+    catch (e) {
+        if (e instanceof MatWriteError) {
+            return e;
+        }
+        throw e;
+    }
+    const short = shortIn(value);
+    if (short) {
+        return refusal(name, short.path + ' is ' + short.what + ', and a save would write the ones it does not hold as empty');
+    }
+    // And one stored in a form MATLAB does not load as it is (storedRefusal). Last, so that a
+    // refusal that says more of the same damage (a container read short, a value not decoded) is
+    // the one given.
+    const stored = record ? storedRefusal(record) : null;
+    if (stored) {
+        return refusal(name, 'it is stored in a form MATLAB does not load as it is (' + stored + '), so there is no value of it a save '
+            + 'can be held to: it is written only as it was read, or renamed');
+    }
+    return null;
+}
+// The rules of MatFileCheck a variable's own element can break whose break says that what this
+// package read of it is not a value MATLAB loads: char data MATLAB does not read as text, or
+// reads otherwise (miUINT8 Latin-1 bytes, which this reader decodes as UTF-8, miUTF32, which it
+// decodes as UTF-8 too, and CJK in miUINT16, of which MATLAB keeps the low byte of each unit), a
+// char's UTF-8 that does not hold its count, a numeric class stored in another's type, a matrix
+// its sub-elements do not fill, one MATLAB cannot read where it stands, a data part holding more
+// or fewer elements than the dims say. Written fresh, each was this reader's guess at it, which
+// MATLAB then loaded in its place: measured on MATLAB's verdict corpus (test/fixtures/mat-check),
+// a 1x3 char stored as miUTF32 was written as the 1x12 of its bytes, and 'héllo' stored as miUINT8
+// as 'h\uFFFDllo'. Not a name (a fresh one is held to validateMatlabName), nor what only the file
+// breaks around the element.
+const VALUE_RULES = new Set(['char-type', 'utf8-count', 'int-storage', 'nbytes', 'element', 'data-size']);
+// What `record`'s own element breaks of VALUE_RULES, as checkMatElement says it, or null. Of the
+// element the reader read, which it holds whole (MatVariable._rawBytes), so nothing is inflated;
+// once per record, whose bytes never change.
+const storedVerdicts = new WeakMap();
+function storedRefusal(record) {
+    let verdict = storedVerdicts.get(record);
+    if (verdict === undefined) {
+        const element = record.variable?._rawBytes;
+        const broken = element ? checkMatElement(element).find((v) => VALUE_RULES.has(v.code)) : undefined;
+        verdict = broken ? broken.message.replace(/\.$/, '') : null;
+        storedVerdicts.set(record, verdict);
+    }
+    return verdict;
+}
+/**
+ * The first container at or under `at` that holds fewer elements than it declares, read short
+ * out of a damaged record (MatParser's "declares 3 cell(s) and only 1 could be read"), with its
+ * path and what it holds; null for none. MatWriter writes each element it does not hold as an
+ * empty double, a hole (cellBody, structBody), which is a value the file did not hold, and past
+ * its budget refuses the save: a 1x600000 cell holding one element was 599,999 of them. So such a
+ * variable is written only as it was read, or renamed. A container the node ceiling built without
+ * its rows is asked of the variable it was read as, which is what it is written as.
+ */
+function shortIn(at) {
+    const node = valueNodeOf(at);
+    if (!node) {
+        return null;
+    }
+    if (node._cutByCeiling && node._matVar) {
+        return shortVariableIn(node._matVar, node.matlabPath);
+    }
+    const declared = (node._dims || []).reduce((a, b) => a * b, 1);
+    const isStruct = node._kind === 'scalar' && node._scalarType === 'struct';
+    if (node._kind !== 'cell' && !isStruct) {
+        return null;
+    }
+    // A struct array's rows are its elements, and one with no fields past the cap has none: it is
+    // written as the bytes it was read from (MatlabVariableNode._unexpandedStruct).
+    const holdsElements = node._kind === 'cell' || (declared !== 1 && !node._unexpandedStruct());
+    if (holdsElements && node.children.length < declared) {
+        return { path: node.matlabPath, what: heldPhrase(node._dims, node._kind === 'cell' ? 'cell' : 'struct array', node.children.length) };
+    }
+    for (const child of node.children) {
+        const below = shortIn(child);
+        if (below) {
+            return below;
+        }
+    }
+    return null;
+}
+// shortIn, of a variable as MatParser read it.
+function shortVariableIn(v, path) {
+    if (!v) {
+        return null;
+    }
+    const dims = dimsOf(v);
+    const declared = dims.reduce((a, b) => a * b, 1);
+    if (v.className === 'cell') {
+        const members = flatValues(v.value);
+        const held = members.slice(0, declared).filter(Boolean).length;
+        if (held < declared) {
+            return { path, what: heldPhrase(dims, 'cell', held) };
+        }
+        for (let i = 0; i < members.length; i++) {
+            const below = shortVariableIn(members[i], path + '{' + (i + 1) + '}');
+            if (below) {
+                return below;
+            }
+        }
+    }
+    if (v.className === 'struct' && v.fields) {
+        for (const name of Object.keys(v.fields)) {
+            const held = v.fields[name];
+            const elements = Array.isArray(held) ? held : [held];
+            const present = elements.slice(0, declared).filter(Boolean).length;
+            if (present < declared) {
+                return { path, what: heldPhrase(dims, 'struct array', present) + ' in its field ' + name };
+            }
+            for (let e = 0; e < elements.length; e++) {
+                const below = shortVariableIn(elements[e], path + (Array.isArray(held) ? '(' + (e + 1) + ')' : '') + '.' + name);
+                if (below) {
+                    return below;
+                }
+            }
+        }
+    }
+    return null;
+}
+function heldPhrase(dims, what, held) {
+    return 'a ' + dims.join('x') + ' ' + what + ' holding ' + held + ' of the ' + dims.reduce((a, b) => a * b, 1) + ' elements it declares';
+}
+// `node` as the node of a plain MATLAB value, or null for a node of another class: a typed
+// object's (a ParameterNode, a BusNode). Asked of what the node does rather than of its class,
+// which this layer does not import (test/moduleBoundaries): a MatlabVariableNode, and only it,
+// writes its value as a MAT stream.
+function valueNodeOf(node) {
+    const v = node;
+    return typeof v._matStream === 'function' && typeof v._matWritable === 'function' ? v : null;
+}
+// What a variable read as `v` is, in words, when it is not a plain MATLAB value; null when it is.
+function notPlain(v) {
+    if (v.isOpaque) {
+        return classPhrase(v.className || 'object');
+    }
+    if (functionHandleOf(v) || v.className === 'function_handle') {
+        return 'a function handle';
+    }
+    if (v.className === 'unknown' || v.undecoded) {
+        return 'a value that was not decoded';
+    }
+    return null;
+}
+// Where an element's array flags keep its flags byte: past the element's tag and the flags' own,
+// which MATLAB and MatWriter both write in the long form (8 bytes of tag, then 8 of data), and
+// the byte after the class; and its bit for global.
+const FLAGS_BYTE = 17;
+const GLOBAL_FLAG = 0x04;
+// `element`, written fresh for the variable `record` holds, global when that one was
+// (MatVariable.isGlobal). The flag is the workspace variable's and not its value's, so no writer
+// of a value writes it, and written fresh a variable saved as global was not one: `load(f)` no
+// longer declared it global. A rename splice keeps it with the rest of the element. Only the
+// top-level element, the one MATLAB sets it on; and on a copy, since the element may be a view
+// of the bytes the file was read from (_matStream's own, which then hold it already).
+function globalAsRead(element, record) {
+    const longFlags = element.byteLength > FLAGS_BYTE && u32At(element, 8) === 6 && u32At(element, 12) === 8;
+    if (!record?.variable?.isGlobal || !longFlags || element[FLAGS_BYTE] & GLOBAL_FLAG) {
+        return element;
+    }
+    const out = element.slice();
+    out[FLAGS_BYTE] |= GLOBAL_FLAG;
+    return out;
+}
+// The miMATRIX element `node`'s value is, with the empty name a stream's value has: the stream it
+// is written as in a dictionary (_matStream), which writes a sparse array no element row edited
+// and a struct array with no element rows as the bytes they were read from, and anything else as
+// MatWriter writes it, once freshRefusal has found nothing in it this writer cannot write. Refused
+// as a dictionary's save refuses it past MatWriter's budget, restated naming the variable
+// (_budgetFailure), and for any other refusal of MatWriter's.
+function freshElement(node) {
+    const stream = node._matStream();
+    if (stream) {
+        return stream.subarray(8);
+    }
+    // _matStream answers null for a refusal of MatWriter's other than its budget's: asked again,
+    // for its reason.
+    try {
+        encodeMatVariable(node._var);
+    }
+    catch (e) {
+        if (e instanceof MatBudgetError) {
+            throw node._budgetFailure(e);
+        }
+        if (e instanceof MatWriteError) {
+            throw refusal(node.name, e.message);
+        }
+        throw e;
+    }
+    throw refusal(node.name, 'no MAT element could be written for it');
+}
+/**
+ * The first node at or under `at` that MatWriter cannot write as what it is (the rule of
+ * MatlabVariableNode._matWritable), with its MATLAB path and what it is, or null for none. Asked
+ * by freshRefusal, and by the editor of a value about to be typed in (MatNode._valueRefusal).
+ *
+ * A container the node ceiling built without its rows (_cutByCeiling) is written as the variable
+ * it was read as (MatlabVariableNode._var), so that variable is what is asked of it, and not its
+ * rows, which _matWritable would find none of to refuse: a cell of function handles, cut, said
+ * nothing, and its edit was refused by MatWriter at the save.
+ */
+export function unwritableIn(at) {
+    const found = unwritableAt(at);
+    if (found) {
+        return found;
+    }
+    const node = valueNodeOf(at);
+    return node._matWritable() ? null : { path: node.matlabPath, what: 'a value MatWriter has no variable for' };
+}
+function unwritableAt(at) {
+    const node = valueNodeOf(at);
+    if (!node) {
+        return { path: at.matlabPath, what: classPhrase(String(at.className || 'object')) };
+    }
+    if (node._isOpaque) {
+        return { path: node.matlabPath, what: classPhrase(node._opaqueClassName || 'object') };
+    }
+    if (node._undecoded) {
+        return { path: node.matlabPath, what: 'a value that was not decoded' };
+    }
+    if (node._scalarType === 'string' || node._scalarType === 'function_handle') {
+        return { path: node.matlabPath, what: node._scalarType === 'string' ? 'a string' : 'a function handle' };
+    }
+    if (node._cutByCeiling && node._matVar) {
+        return notPlainIn(node._matVar, node.matlabPath);
+    }
+    // Only a cell and a struct hold values of their own: an array's rows are its elements.
+    if (node._kind === 'cell' || node._scalarType === 'struct') {
+        for (const child of node.children) {
+            const below = unwritableAt(child);
+            if (below) {
+                return below;
+            }
+        }
+    }
+    return null;
+}
+// The first member at or under the variable `v`, at `path`, that is not a plain MATLAB value
+// (notPlain), with its path, or null: the members of a cell and the fields of a struct, at any
+// depth, as MatParser holds them.
+function notPlainIn(v, path) {
+    if (!v) {
+        return null;
+    }
+    const what = notPlain(v);
+    if (what) {
+        return { path, what };
+    }
+    if (v.className === 'cell') {
+        const members = flatValues(v.value);
+        for (let i = 0; i < members.length; i++) {
+            const below = notPlainIn(members[i], path + '{' + (i + 1) + '}');
+            if (below) {
+                return below;
+            }
+        }
+    }
+    if (v.className === 'struct' && v.fields) {
+        for (const name of Object.keys(v.fields)) {
+            const held = v.fields[name];
+            const elements = Array.isArray(held) ? held : [held];
+            for (let e = 0; e < elements.length; e++) {
+                const below = notPlainIn(elements[e], path + (Array.isArray(held) ? '(' + (e + 1) + ')' : '') + '.' + name);
+                if (below) {
+                    return below;
+                }
+            }
+        }
+    }
+    return null;
+}
+// The miMATRIX element a record holds: its own bytes for a plain one, its payload inflated for a
+// compressed one. Null when there is no whole element, or bytes after it: a record that is not
+// one MATLAB writes is not one to rename.
+function elementOfRecord(record) {
+    const bytes = record.bytes;
+    if (bytes.byteLength < 8) {
+        return null;
+    }
+    const nbytes = u32At(bytes, 4);
+    if (!record.compressed) {
+        return u32At(bytes, 0) === MI_MATRIX && 8 + nbytes <= bytes.byteLength ? bytes.subarray(0, 8 + nbytes) : null;
+    }
+    let inflated;
+    try {
+        inflated = inflateZlib(bytes.subarray(8, 8 + nbytes));
+    }
+    catch {
+        return null;
+    }
+    if (inflated.byteLength < 8 || u32At(inflated, 0) !== MI_MATRIX) {
+        return null;
+    }
+    return 8 + u32At(inflated, 4) === inflated.byteLength ? inflated : null;
+}
+// A top-level record of `element`, the variable `name`'s: the element itself, which MatWriter pads
+// to 8 bytes as a plain record must be, or its zlib stream (RFC 1950, which MATLAB requires; level
+// 6, MATLAB's default) in an miCOMPRESSED tag, with no padding after it, as MATLAB writes one.
+function recordBytes(element, compress, name) {
+    return compress ? compressedRecordOf(zlibSync(element, { level: 6 }), name) : element;
+}
+/**
+ * The miCOMPRESSED record of `stream`, the zlib stream of the variable `name`'s element: its tag
+ * and the stream. Refused for a stream of 4 GiB or more, whose length the tag's 32 bits cannot
+ * say: written, its length would wrap, and the record would declare a few bytes of a stream that
+ * goes on. Exported for test/matFileSave.test.ts, which holds it to that without a stream so big.
+ */
+export function compressedRecordOf(stream, name) {
+    if (stream.byteLength > 0xffffffff) {
+        throw refusal(name, 'compressed, its element is a stream of ' + stream.byteLength + ' bytes, more than the 4 GiB a record can say it holds');
+    }
+    return concat([u32le(MI_COMPRESSED), u32le(stream.byteLength), stream], (total) => refusal(name, 'its record would be ' + total + ' bytes, more than this runtime holds in one buffer'));
+}
+// The header and the planned records, back to back. The header is the file's own: its text
+// (bytes 0-115, which MATLAB keeps on `-append` and never reads), and its version and byte-order
+// mark (124-127). Bytes 116-123 are the subsystem's new offset, a little-endian uint64, or, in a
+// file with no subsystem, the file's own: zeros or spaces, both of which MATLAB reads as none.
+function assemble(file, headerBytes, plan, subsystem) {
+    const header = headerBytes.slice();
+    const parts = [header];
+    const offsets = [];
+    let subsystemAt = null;
+    let at = header.byteLength;
+    for (const p of plan) {
+        const bytes = bytesOf(p);
+        offsets.push(at);
+        if (p.kind === 'verbatim' && p.record === subsystem) {
+            subsystemAt = at;
+        }
+        parts.push(bytes);
+        at += bytes.byteLength;
+    }
+    if (subsystemAt !== null) {
+        new DataView(header.buffer, header.byteOffset, header.byteLength).setBigUint64(116, BigInt(subsystemAt), true);
+    }
+    return { bytes: concat(parts, fileTooBig(file)), offsets, subsystemAt };
+}
+// The bytes a planned record is written as: a record of the file's own, or the ones written for it.
+function bytesOf(p) {
+    return p.kind === 'verbatim' ? p.record.bytes : p.bytes;
+}
+// The refusal of a file of `total` bytes, more than one buffer here holds (concat).
+function fileTooBig(file) {
+    return (total) => new MatWriteError('Cannot save "' + file + '": the file written for it would be ' + total + ' bytes, more than this runtime holds in one buffer. '
+        + 'Nothing was written.');
+}
+// ---- The self-check ---------------------------------------------------------------------------
+//
+// The bytes about to be handed back, against the plan: the header kept, and saying where the
+// subsystem now is; the records the ones planned, back to back from byte 128 to the last byte,
+// each at the offset planned and framed as the reader frames one; and every record written anew
+// read again by this package's reader, alone: each renamed one named as planned and, but for its
+// name, its element byte for byte; each written fresh named as planned and reading back as the
+// value it was written from, its class, size and every element. Any difference refuses the save.
+//
+// A record written as its own bytes is not read again: it is the record the file was read as,
+// whole (unsavableRefusal: not one byte of it handed away since), copied by assemble at the
+// offset this checks. Reading it again would read the reader's own reading of the same bytes, at
+// the cost of inflating every compressed record of the file at every save.
+//
+// This proves what was written is what was planned, and not that MATLAB loads it: this reader
+// reads files MATLAB refuses. That is refuseWorse's to ask, of the other judge.
+function selfCheck(file, assembled, plan, headerBytes) {
+    const fail = (why) => {
+        throw new MatWriteError('Cannot save "' + file + '": the file written for it did not read back as written: ' + why + '. Nothing was written.');
+    };
+    const { bytes, offsets } = assembled;
+    const head = bytes.subarray(0, 128);
+    if (!sameBytes(head.subarray(0, 116), headerBytes.subarray(0, 116)) || !sameBytes(head.subarray(124), headerBytes.subarray(124))) {
+        return fail('its header is not the one it was read with');
+    }
+    const subsystemSaid = assembled.subsystemAt ?? 0;
+    const offsetSaid = head.subarray(116, 124).every((b) => b === 0x20) ? 0 : Number(new DataView(head.buffer, head.byteOffset + 116, 8).getBigUint64(0, true));
+    if (offsetSaid !== subsystemSaid) {
+        return fail('its header places its objects at byte ' + offsetSaid + ', and they are at byte ' + subsystemSaid);
+    }
+    let end = 128;
+    plan.forEach((p, i) => {
+        const record = bytesOf(p);
+        if (offsets[i] !== end) {
+            fail('a record was written at byte ' + offsets[i] + ', where the one before it ends at byte ' + end);
+        }
+        if (p.kind === 'verbatim' && record.byteLength !== p.record.length) {
+            fail('the record at byte ' + end + ' holds ' + record.byteLength + ' of the ' + p.record.length + ' bytes it was read as');
+        }
+        if (!framedAsRead(record) || u32At(bytes, end) !== u32At(record, 0) || u32At(bytes, end + 4) !== u32At(record, 4)) {
+            fail('the record at byte ' + end + ' is not framed as the record written there');
+        }
+        end += record.byteLength;
+    });
+    if (end !== bytes.byteLength) {
+        return fail('it is ' + bytes.byteLength + ' bytes, and its records end at byte ' + end);
+    }
+    plan.forEach((p, i) => {
+        if (p.kind === 'verbatim') {
+            return;
+        }
+        const at = offsets[i];
+        const got = readAlone(file, head, bytes.subarray(at, at + p.bytes.byteLength));
+        if (!got || got.status !== 'read' || got.anonymous || got.name !== p.name || got.variable?.name !== p.name) {
+            fail('the record at byte ' + at + ', written as "' + p.name + '", reads as ' + (got?.status === 'read' ? '"' + got.name + '"' : 'no variable'));
+        }
+        if (p.kind === 'renamed') {
+            const unnamed = (e) => (e && wholeElement(e) ? elementNamed(e, '') : null);
+            const was = unnamed(p.element);
+            const is = unnamed(got.variable._rawBytes);
+            if (!was || !is || !sameBytes(was, is)) {
+                fail('"' + p.name + '" is not, but for its name, the element it was read as');
+            }
+            return;
+        }
+        const difference = differs(p.node._var, got.variable, p.name);
+        if (difference) {
+            fail(difference);
+        }
+        // Global as the variable it was written for was (globalAsRead), and a variable added since not.
+        if (!!p.record?.variable?.isGlobal !== !!got.variable?.isGlobal) {
+            const is = got.variable?.isGlobal ? 'global, where the variable it was written for was not' : 'not global, where the variable it was written for was';
+            fail('"' + p.name + '" reads back ' + is);
+        }
+    });
+}
+// Whether `record` is framed as MatParser frames a record of a file it calls framed: its tag's 8
+// bytes and exactly the bytes they declare, which for a plain record are a whole number of 8-byte
+// words; and a tag that is neither the zero one the reader stops at nor a small element's.
+function framedAsRead(record) {
+    if (record.byteLength < 8) {
+        return false;
+    }
+    const type = u32At(record, 0);
+    const n = u32At(record, 4);
+    if (8 + n !== record.byteLength) {
+        return false;
+    }
+    return type === MI_COMPRESSED || (n % 8 === 0 && !(type === 0 && n === 0) && !(type >>> 16 !== 0 && (type & 0xffff) !== 0));
+}
+// The one record of a file of `header` and `record`, as this package's reader reads it, or null
+// where it reads that file as anything else.
+function readAlone(file, header, record) {
+    // The whole of a buffer of its own (concat), which the reader may take as it is.
+    const alone = concat([header, record], fileTooBig(file));
+    let parsed;
+    try {
+        parsed = parseMat(alone.buffer);
+    }
+    catch {
+        return null;
+    }
+    return parsed.framed && parsed.records.length === 1 ? parsed.records[0] : null;
+}
+// Whether `element` is one miMATRIX element, its tag and exactly the bytes it declares.
+function wholeElement(element) {
+    return element.byteLength >= 8 && u32At(element, 0) === MI_MATRIX && 8 + u32At(element, 4) === element.byteLength;
+}
+// The bytes about to be handed back, judged by the rules MATLAB loads a file by (MatFileCheck),
+// which this package's reader does not hold a file to: the save is refused when they break a rule
+// the file they were read from did not break. A file that was read breaking one (two variables of
+// one name, say) may still be saved, edited elsewhere, as long as the save adds nothing to it.
+// Compared by rule and variable, not by offset, which every edit before a record moves; a
+// variable renamed is compared under the name the file it was read from gave it.
+//
+// Judged where the save changed the file (violationsAddedBySplice): every record written anew and
+// the record it replaces, the header, and where every record stands. A record written as its own
+// bytes breaks what it broke as read, and the two are the same answer; so a save costs what it
+// changed, and a file too big for the check's budget whole can still be saved where its edits
+// are small. Phase 2, which writes the subsystem anew, hands it in as a record written in place of
+// the subsystem's (MatSplicedRecord `replaces`), and it is checked whole as every written one is.
+function refuseWorse(file, assembled, plan, headerBytes, records, check) {
+    const index = new Map(records.map((r, i) => [r, i]));
+    const renamed = new Map();
+    const written = plan.map((p, i) => {
+        if (p.kind === 'verbatim') {
+            return { kept: index.get(p.record) };
+        }
+        if (p.record?.name && p.record.name !== p.name) {
+            renamed.set(p.name, p.record.name);
+        }
+        const at = assembled.offsets[i];
+        return { written: assembled.bytes.subarray(at, at + p.bytes.byteLength), replaces: p.record ? index.get(p.record) : null };
+    });
+    const added = violationsAddedBySplice(
+    // A compressed record's inflate, as the reader holds it (MatVariable._rawBytes): inflateZlib's
+    // of the record's own bytes, so that the check does not inflate the file again.
+    { header: headerBytes, records: records.map((r) => ({ bytes: r.bytes, inflated: r.compressed ? r.variable?._rawBytes : null })) }, { header: assembled.bytes.subarray(0, 128), records: written }, renamed, check);
+    const broken = added.filter((v) => v.code !== 'budget');
+    if (broken.length > 0) {
+        const more = broken.length - 1;
+        throw new MatWriteError('Cannot save "' + file + '": the file written for it breaks a rule MATLAB loads a file by, which the file it was read '
+            + 'from does not: ' + broken[0].message + (more > 0 ? ' It breaks ' + more + ' more as well.' : '') + ' Nothing was written.');
+    }
+    if (added.length > 0) {
+        // The check stopped before it had judged all of what the save wrote: nothing is known
+        // broken, and nothing is known to load.
+        throw new MatWriteError('Cannot save "' + file + '": the file written for it could not be verified within the check\'s budget against the rules '
+            + 'MATLAB loads a file by (' + added[0].message.replace(/\.$/, '') + '), so it is not known to load. Nothing was written.');
+    }
+}
+// Where the value read back, `read`, is not the value `model` it was written from, in words, or
+// null where it is that value: the same class, complexity, storage and size, the same members of a
+// cell, the same fields of a struct in the same order, and each element the same number as its
+// class holds it. MatWriter's own rules are taken as the model's meaning, not its result: an
+// integer element as MATLAB converts it to the class, a single's as a float32, a member a cell or
+// a struct does not hold as the empty double written for it.
+function differs(model, read, at) {
+    const m = model ?? EMPTY_DOUBLE;
+    const r = read ?? EMPTY_DOUBLE;
+    const cls = classOf(m);
+    const said = (what, was, is) => at + ': its ' + what + ' reads back as ' + is + ' where ' + was + ' was written';
+    if (classOf(r) !== cls) {
+        return said('class', cls, classOf(r));
+    }
+    const md = dimsOf(m);
+    if (md.join('x') !== r.dimensions.join('x')) {
+        return said('size', md.join('x'), r.dimensions.join('x'));
+    }
+    if (!!m.isComplex !== !!r.isComplex || !!m.isSparse !== !!r.isSparse) {
+        return said('storage', storageOf(m), storageOf(r));
+    }
+    const n = md.reduce((a, b) => a * b, 1);
+    if (m.isSparse) {
+        return sparseDiffers(m, r, cls, at);
+    }
+    if (cls === 'cell') {
+        const mc = flatValues(m.value);
+        const rc = flatValues(r.value);
+        for (let i = 0; i < n; i++) {
+            const d = differs(mc[i], rc[i], at + '{' + (i + 1) + '}');
+            if (d) {
+                return d;
+            }
+        }
+        return null;
+    }
+    if (cls === 'struct') {
+        const mf = m.fields ?? {};
+        const rf = r.fields ?? {};
+        const names = Object.keys(mf);
+        if (names.join(',') !== Object.keys(rf).join(',')) {
+            return said('fields', names.join(', ') || 'none', Object.keys(rf).join(', ') || 'none');
+        }
+        for (let e = 0; e < n; e++) {
+            for (const name of names) {
+                const d = differs(memberOf(mf[name], e, n), memberOf(rf[name], e, n), at + (n === 1 ? '' : '(' + (e + 1) + ')') + '.' + name);
+                if (d) {
+                    return d;
+                }
+            }
+        }
+        return null;
+    }
+    if (cls === 'char') {
+        const was = String(m.value ?? '');
+        const is = String(r.value ?? '');
+        return was === is ? null : said('text', JSON.stringify(was), JSON.stringify(is));
+    }
+    const mv = flatValues(m.value);
+    const rv = flatValues(r.value);
+    if (mv.length !== n || rv.length !== n) {
+        return said('element count', String(mv.length), String(rv.length));
+    }
+    const same = sameNumberFor(cls);
+    for (let i = 0; i < n; i++) {
+        for (const part of m.isComplex ? ['re', 'im'] : ['re']) {
+            const was = partOf(mv[i], part);
+            const is = partOf(rv[i], part);
+            if (!same(was, is)) {
+                return said('element ' + (i + 1) + (m.isComplex ? ' (' + (part === 're' ? 'real' : 'imaginary') + ' part)' : ''), String(was), String(is));
+            }
+        }
+    }
+    return null;
+}
+// A sparse array's non-zeros, compared as a set of (row, column) to value: the order a writer
+// puts them in is its own, and an explicit zero is not a non-zero MATLAB keeps.
+function sparseDiffers(m, r, cls, at) {
+    const ms = m.sparse;
+    const rs = r.sparse;
+    if (!ms || !rs) {
+        return at + ': it holds no non-zeros to compare';
+    }
+    const same = sameNumberFor(cls);
+    const entries = (s) => {
+        const out = new Map();
+        for (let k = 0; k < s.row.length; k++) {
+            const re = s.re[k];
+            const im = s.im ? s.im[k] : 0;
+            if (re !== 0 || im !== 0) {
+                out.set(s.row[k] + ',' + s.col[k], [re, im]);
+            }
+        }
+        return out;
+    };
+    const was = entries(ms);
+    const is = entries(rs);
+    if (was.size !== is.size) {
+        return at + ': it reads back with ' + is.size + ' non-zero(s) where ' + was.size + ' were written';
+    }
+    for (const [where, [re, im]] of was) {
+        const got = is.get(where);
+        if (!got || !same(re, got[0]) || !same(im, got[1])) {
+            const [row, col] = where.split(',').map(Number);
+            return at + ': its non-zero at (' + (row + 1) + ',' + (col + 1) + ') does not read back as written';
+        }
+    }
+    return null;
+}
+const EMPTY_DOUBLE = { name: '', className: 'double', dimensions: [0, 0], isComplex: false, isLogical: false, value: null, fields: null };
+const INTEGER_CLASS = /^u?int(?:8|16|32|64)$/;
+// MATLAB's class of `v`: a logical array is class uint8 with the logical flag, in a file and in
+// the variable the node layer hands MatWriter.
+function classOf(v) {
+    return v.isLogical || v.className === 'logical' ? 'logical' : v.className;
+}
+function storageOf(v) {
+    return (v.isSparse ? 'sparse' : 'full') + (v.isComplex ? ' complex' : ' real');
+}
+// Whether two elements of class `cls` are the one number the class holds: an integer class's as
+// MATLAB converts a value to it (integerConversion: rounded, saturated, NaN as 0), a logical's as a
+// uint8, a single's as a float32, and a double's as itself, NaN equal to NaN and -0 not to 0.
+function sameNumberFor(cls) {
+    if (INTEGER_CLASS.test(cls) || cls === 'logical') {
+        const to = integerConversion(cls === 'logical' ? 'uint8' : cls);
+        return (a, b) => String(to(a)) === String(to(b));
+    }
+    if (cls === 'single') {
+        return (a, b) => Object.is(Math.fround(Number(a)), Math.fround(Number(b)));
+    }
+    return (a, b) => Object.is(Number(a), Number(b));
+}
+// One part of a numeric element: a complex one is `{re, im}`, and a real one its real part, with
+// an imaginary part of 0.
+function partOf(x, part) {
+    if (x !== null && typeof x === 'object' && 're' in x) {
+        return x[part];
+    }
+    return part === 're' ? x : 0;
+}
+// Element `e` of `n` of a struct field: a struct array holds one variable per element, a 1x1
+// struct the variable itself (MatVariable.fields).
+function memberOf(held, e, n) {
+    return Array.isArray(held) ? held[e] : n === 1 ? held : undefined;
+}
+// A MAT element has at least two dimensions; a variable may say fewer (MatWriter.dimsOf).
+function dimsOf(v) {
+    const d = (v.dimensions || []).slice();
+    while (d.length < 2) {
+        d.push(1);
+    }
+    return d;
+}
+// The values of a variable as one list: MatParser leaves a 1x1 a bare value and an empty one null.
+function flatValues(value) {
+    if (value === null || value === undefined) {
+        return [];
+    }
+    return Array.isArray(value) ? value : [value];
+}
+// ---- Bytes ------------------------------------------------------------------------------------
+// `parts`, back to back in a buffer of their own; or, past the most bytes the runtime holds in one
+// buffer, `tooBig`'s refusal of that many, rather than the RangeError the runtime throws, which
+// says nothing of what was being written.
+function concat(parts, tooBig) {
+    let total = 0;
+    for (const p of parts) {
+        total += p.byteLength;
+    }
+    let out;
+    try {
+        out = new Uint8Array(total);
+    }
+    catch (e) {
+        if (e instanceof RangeError) {
+            throw tooBig(total);
+        }
+        throw e;
+    }
+    let at = 0;
+    for (const p of parts) {
+        out.set(p, at);
+        at += p.byteLength;
+    }
+    return out;
+}
+function u32le(n) {
+    const out = new Uint8Array(4);
+    new DataView(out.buffer).setUint32(0, n >>> 0, true);
+    return out;
+}
+function u32At(bytes, at) {
+    return new DataView(bytes.buffer, bytes.byteOffset, bytes.byteLength).getUint32(at, true);
+}
+function sameBytes(a, b) {
+    if (a.byteLength !== b.byteLength) {
+        return false;
+    }
+    for (let i = 0; i < a.byteLength; i++) {
+        if (a[i] !== b[i]) {
+            return false;
+        }
+    }
+    return true;
+}
+//# sourceMappingURL=MatFileWriter.js.map
\ No newline at end of file
diff --git a/dist/datamodel/parser/MatFileWriter.js.map b/dist/datamodel/parser/MatFileWriter.js.map
new file mode 100644
index 00000000..41ba1243
--- /dev/null
+++ b/dist/datamodel/parser/MatFileWriter.js.map
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/dist/datamodel/parser/MatParser.d.ts b/dist/datamodel/parser/MatParser.d.ts
index 6aef7716..8930a01b 100644
--- a/dist/datamodel/parser/MatParser.d.ts
+++ b/dist/datamodel/parser/MatParser.d.ts
@@ -7,6 +7,7 @@ export interface MatVariable {
     isComplex: boolean;
     isLogical: boolean;
     isSparse?: boolean;
+    isGlobal?: boolean;
     sparse?: SparseData;
     value: unknown;
     fields: Record<string, MatVariable | MatVariable[]> | null;
@@ -25,6 +26,29 @@ export interface ParsedMat {
     header: string;
     variables: MatVariable[];
     warnings: ParseWarning[];
+    headerBytes: Uint8Array;
+    subsystemOffset: number;
+    records: MatRecord[];
+    framed: boolean;
+    unframed: {
+        at: number;
+        reason: string;
+    } | null;
+}
+/**
+ * One top-level record of a MAT-file, in the file's own bytes: a variable, the subsystem
+ * that holds the file's objects, or a record this reader did not read.
+ */
+export interface MatRecord {
+    offset: number;
+    length: number;
+    bytes: Uint8Array;
+    compressed: boolean;
+    name: string | null;
+    anonymous: boolean;
+    status: 'read' | 'dropped';
+    reason?: string;
+    variable: MatVariable | null;
 }
 export declare function undecodedValue(dimensions: number[], className: string): string;
 export declare const MAX_NESTING = 128;
diff --git a/dist/datamodel/parser/MatParser.d.ts.map b/dist/datamodel/parser/MatParser.d.ts.map
index d5e69fe7..f090bd2e 100644
--- a/dist/datamodel/parser/MatParser.d.ts.map
+++ b/dist/datamodel/parser/MatParser.d.ts.map
@@ -1 +1 @@
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diff --git a/dist/datamodel/parser/MatParser.js b/dist/datamodel/parser/MatParser.js
index 493e3460..947f3166 100644
--- a/dist/datamodel/parser/MatParser.js
+++ b/dist/datamodel/parser/MatParser.js
@@ -913,6 +913,9 @@ export function parseMatrix(view, baseOffset, length, depth = 0) {
     if (isSparse) {
         result.isSparse = true;
     }
+    if (flags & 0x04) {
+        result.isGlobal = true;
+    }
     // Past MAX_NESTING levels a matrix is recorded with its class, size and name, and nothing in
     // it is read. What holds it keeps its bytes, as for every value this reader does not decode:
     // a struct field always, and a cell element when it is not decoded.
@@ -1232,7 +1235,14 @@ export function parseMatrix(view, baseOffset, length, depth = 0) {
             // elements had 10,000 empty rows, and a 104 KB file holding 1,000 of them ran a
             // 512 MB heap out while it opened. MATLAB writes every field of every element, so an
             // array it wrote has every list already.
-            if (totalElements > 1) {
+            //
+            // So is every field of an array of NO element, each with its empty list: its names
+            // are all there is of it, `struct('a', {})` being a 0x0 struct with a field `a`. It
+            // held `{}`, and a writer writes the names a variable holds, so a .mat save of one
+            // and a copy of one into a dictionary's stream wrote a struct of no field (measured
+            // against MATLAB R2027a: the 0x0 a .mat save wrote for it loaded with fieldnames {},
+            // where the file's had {'a'}).
+            if (totalElements !== 1) {
                 for (const fn of fieldNames) {
                     if (!Object.prototype.hasOwnProperty.call(fields, fn)) {
                         setOwn(fields, fn, []);
@@ -1312,6 +1322,21 @@ export function parseMat(arrayBuffer) {
     // left holding no data is that one loss, said once (collectUndecoded).
     const readShort = new Set();
     let offset = 128;
+    // The file's records as a save splices them (ParsedMat.records), and the first place
+    // they stop tiling the file, if they do. Kept beside the walk rather than by it: the
+    // walk steps 8 + nbytes past every record, as it always has, and that is MATLAB's step
+    // for every record but a plain one whose nbytes is not a multiple of 8, which MATLAB
+    // pads and the walk does not. No file MATLAB wrote under test/ holds one, an miMATRIX's
+    // nbytes counting its sub-elements' padding, so a file that does is left unframed
+    // rather than walked a second way.
+    const records = [];
+    let unframed = null;
+    const unframe = (at, reason) => { unframed ??= { at, reason }; };
+    const dropped = (record, warning) => {
+        record.status = 'dropped';
+        record.reason = warning.message;
+        warnings.push(warning);
+    };
     // The name to blame a short record on — empty for the unnamed element every MCOS
     // file carries, which has no name to give.
     const nameFor = (variable) => (variable._anonymous ? '' : variable.name);
@@ -1327,13 +1352,18 @@ export function parseMat(arrayBuffer) {
                 message: `The file ends with ${buf.length - offset} byte(s) where a record header needs 8, `
                     + 'so anything stored after the last variable read was not read.',
             });
+            unframe(offset, `the file ends ${buf.length - offset} byte(s) into a record's tag`);
             break;
         }
         const dataType = view.getUint32(offset, true);
         const numBytes = view.getUint32(offset + 4, true);
         // The format's own end-of-variables marker. NOT a warning: a file that ends
-        // where it says it ends has been read completely.
+        // where it says it ends has been read completely. Not a record either, and the
+        // file is not framed: measured against MATLAB R2027a, a file whose last variable is
+        // followed by 8 zero bytes fails to load, as one followed by 3 or 100 does.
         if (dataType === 0 && numBytes === 0) {
+            unframe(offset, `a zero tag at byte ${offset} is no record, and it and the ${buf.length - offset - 8} byte(s) `
+                + 'after it are not read');
             break;
         }
         // A record may declare more bytes than the file holds. Everything below clamps
@@ -1343,7 +1373,42 @@ export function parseMat(arrayBuffer) {
         // until after the parse so the warning can name the variable it cost.
         const missing = offset + 8 + numBytes - buf.length;
         let shortened = '';
-        if (dataType === MI_COMPRESSED) {
+        const isCompressed = dataType === MI_COMPRESSED;
+        const extent = 8 + (isCompressed ? numBytes : align8(numBytes));
+        const length = Math.min(extent, buf.length - offset);
+        const record = {
+            offset,
+            length,
+            bytes: buf.subarray(offset, offset + length),
+            compressed: isCompressed,
+            name: null,
+            anonymous: false,
+            status: 'read',
+            variable: null,
+        };
+        records.push(record);
+        if (length < extent) {
+            unframe(offset, `the record at byte ${offset} needs ${extent} bytes and the file holds ${length}`);
+        }
+        else if (!isCompressed && numBytes % 8 !== 0) {
+            unframe(offset, `the plain record at byte ${offset} declares ${numBytes} bytes, which is not a whole `
+                + 'number of 8-byte words');
+        }
+        else if ((dataType >>> 16) !== 0 && (dataType & 0xFFFF) !== 0) {
+            // Both halves of the type word set: a small data element's tag, the form a
+            // short sub-element is written in. This reader steps over it as 8 + its second
+            // word, which is not how that form is laid out, and MATLAB is not known to step
+            // over one at all at the top of a file.
+            unframe(offset, `the record at byte ${offset} has a small data element's tag`);
+        }
+        // The variable read out of this record, whose record it is (MatNode binds the
+        // node made of it to the record by it).
+        const readAs = (variable) => {
+            record.variable = variable;
+            record.name = variable._anonymous ? '' : variable.name;
+            record.anonymous = !!variable._anonymous;
+        };
+        if (isCompressed) {
             const compressed = buf.slice(offset + 8, offset + 8 + numBytes);
             let pako;
             try {
@@ -1357,7 +1422,7 @@ export function parseMat(arrayBuffer) {
                 // one unreadable record is one variable, not the file. A record that would
                 // inflate past the ceiling for one record (MAT_RECORD_INFLATE_CEILING) is
                 // unreadable the same way, and is never read cut to the ceiling.
-                warnings.push({
+                dropped(record, {
                     code: 'part-unreadable',
                     message: err instanceof InflateCeilingError
                         ? `A compressed record at byte ${offset} inflates to more than the ${err.ceiling}-byte ceiling `
@@ -1378,7 +1443,7 @@ export function parseMat(arrayBuffer) {
             const innerType = tagged ? deView.getUint32(0, true) : 0;
             const innerBytes = tagged ? deView.getUint32(4, true) : 0;
             if (!tagged) {
-                warnings.push({
+                dropped(record, {
                     code: 'part-unreadable',
                     message: `A compressed record at byte ${offset} inflates to ${deView.byteLength} bytes, fewer than the 8 `
                         + "of a data element's tag, so the variable it holds was not read.",
@@ -1393,6 +1458,7 @@ export function parseMat(arrayBuffer) {
                 else {
                     variables.push({ name: '', className: '', dimensions: [], isComplex: false, isLogical: false, value: null, fields: null, _rawBytes: new Uint8Array(pako.buffer, pako.byteOffset, pako.byteLength), _anonymous: true });
                 }
+                readAs(variables[variables.length - 1]);
                 shortened = nameFor(variables[variables.length - 1]);
                 // The record's warning below, one level in. The matrix's own tag in the
                 // payload may claim more bytes than the payload holds, as a record may claim
@@ -1415,7 +1481,7 @@ export function parseMat(arrayBuffer) {
                 }
             }
             else {
-                warnings.push({
+                dropped(record, {
                     code: 'part-unreadable',
                     message: `A compressed record at byte ${offset} holds a data element of type `
                         + `${innerType} where a variable has to be a matrix, so it was not read.`,
@@ -1431,12 +1497,13 @@ export function parseMat(arrayBuffer) {
             else {
                 variables.push({ name: '', className: '', dimensions: [], isComplex: false, isLogical: false, value: null, fields: null, _rawBytes: buf.slice(offset, offset + 8 + numBytes), _anonymous: true });
             }
+            readAs(variables[variables.length - 1]);
             shortened = nameFor(variables[variables.length - 1]);
         }
         else {
             // Only miCOMPRESSED and miMATRIX carry a variable at this level. Anything
             // else was skipped, and a whole variable's worth of file went with it.
-            warnings.push({
+            dropped(record, {
                 code: 'part-unreadable',
                 message: `A data element of type ${dataType} at byte ${offset} is not a variable, `
                     + 'so it was not read.',
@@ -1462,7 +1529,25 @@ export function parseMat(arrayBuffer) {
     for (const variable of variables) {
         collectUndecoded(variable, variable.name || '<unnamed>', warnings, readShort);
     }
-    return { header, variables, warnings };
+    return {
+        header,
+        variables,
+        warnings,
+        headerBytes: buf.subarray(0, 128),
+        subsystemOffset: subsystemOffsetOf(buf, view),
+        records,
+        framed: unframed === null,
+        unframed,
+    };
+}
+// Header bytes 116-123 as a number: a little-endian uint64, or 0 when they are 8 spaces,
+// which MATLAB reads as no subsystem as it does 8 zero bytes. An offset past 2^53 is
+// past any file this reads, and is kept as the nearest double, which no record starts at.
+function subsystemOffsetOf(buf, view) {
+    if (buf.subarray(116, 124).every((b) => b === 0x20)) {
+        return 0;
+    }
+    return Number(view.getBigUint64(116, true));
 }
 /**
  * What this reader says of an array holding fewer elements than it declares, a struct
diff --git a/dist/datamodel/parser/MatParser.js.map b/dist/datamodel/parser/MatParser.js.map
index c59548d3..088e3c0f 100644
--- a/dist/datamodel/parser/MatParser.js.map
+++ b/dist/datamodel/parser/MatParser.js.map
@@ -1 +1 @@
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\ No newline at end of file
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\ No newline at end of file
diff --git a/dist/datamodel/parser/MatWriter.d.ts b/dist/datamodel/parser/MatWriter.d.ts
index 7a6dec15..a054a1e7 100644
--- a/dist/datamodel/parser/MatWriter.d.ts
+++ b/dist/datamodel/parser/MatWriter.d.ts
@@ -132,6 +132,23 @@ export declare function encodeMatStream(v: MatVariable): Uint8Array;
  * way, and its subsystem lives elsewhere in the file, so it is refused.
  */
 export declare function matStreamOfElement(raw: Uint8Array): Uint8Array | null;
+/**
+ * The miMATRIX element `raw` holds as read, named `name`: the inverse of ownElement, for a
+ * variable of a MAT-file, which carries its name in its element as a stream's value does not.
+ * Every byte but the name subelement's is copied, and the element's size restated, so a
+ * variable renamed and saved is the value it was, byte for byte, whatever this writer would
+ * write for it. Null when the bytes are not a whole element whose name this can find.
+ *
+ * An MCOS object's element (class 17) is renamed as well: its name comes straight after its
+ * array flags, with no dimensions before it, and then the type system's name and the object's
+ * class, which are kept. Measured against MATLAB R2027a: the file's subsystem holds no
+ * variable's name, so an object variable renamed this way loads as the same object, a
+ * Simulink.Parameter and a string alike.
+ *
+ * The name is written as MATLAB writes one, miINT8 with its UTF-8 bytes, in the small form
+ * when it is 1 to 4 bytes long (element).
+ */
+export declare function elementNamed(raw: Uint8Array, name: string): Uint8Array | null;
 /**
  * A complex value's plain-text form — `{_type: 'cdata', _value: '1+2i 5+6i 3+4i 7+8i',
  * _dimensions, _class?}`, what BinarySlddParser reads out of a binary dictionary and
diff --git a/dist/datamodel/parser/MatWriter.d.ts.map b/dist/datamodel/parser/MatWriter.d.ts.map
index f8b66770..9b073326 100644
--- a/dist/datamodel/parser/MatWriter.d.ts.map
+++ b/dist/datamodel/parser/MatWriter.d.ts.map
@@ -1 +1 @@
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\ No newline at end of file
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diff --git a/dist/datamodel/parser/MatWriter.js b/dist/datamodel/parser/MatWriter.js
index 39632266..edff652a 100644
--- a/dist/datamodel/parser/MatWriter.js
+++ b/dist/datamodel/parser/MatWriter.js
@@ -1006,12 +1006,41 @@ function ownElement(raw) {
     const body = concat([raw.slice(8, at.nameAt), emptyName(), raw.slice(at.nameAt + at.name, at.end)]);
     return concat([u32le(MI_MATRIX), u32le(body.length), body]);
 }
+/**
+ * The miMATRIX element `raw` holds as read, named `name`: the inverse of ownElement, for a
+ * variable of a MAT-file, which carries its name in its element as a stream's value does not.
+ * Every byte but the name subelement's is copied, and the element's size restated, so a
+ * variable renamed and saved is the value it was, byte for byte, whatever this writer would
+ * write for it. Null when the bytes are not a whole element whose name this can find.
+ *
+ * An MCOS object's element (class 17) is renamed as well: its name comes straight after its
+ * array flags, with no dimensions before it, and then the type system's name and the object's
+ * class, which are kept. Measured against MATLAB R2027a: the file's subsystem holds no
+ * variable's name, so an object variable renamed this way loads as the same object, a
+ * Simulink.Parameter and a string alike.
+ *
+ * The name is written as MATLAB writes one, miINT8 with its UTF-8 bytes, in the small form
+ * when it is 1 to 4 bytes long (element).
+ */
+export function elementNamed(raw, name) {
+    const at = ownElementName(raw, true);
+    if (!at) {
+        return null;
+    }
+    const named = element(MI_INT8, new TextEncoder().encode(name));
+    const body = concat([raw.slice(8, at.nameAt), named, raw.slice(at.nameAt + at.name, at.end)]);
+    return concat([u32le(MI_MATRIX), u32le(body.length), body]);
+}
 /**
  * Where the name subelement of the miMATRIX element `raw` holds is, and where the element
  * ends; null when the bytes are not a whole one ownElement can re-frame. Read, not built, so
  * it can be asked of every member before a write (refuseDimsBelow).
+ *
+ * An MCOS object's element has no stream of its own (matStreamOfElement), so it is found only
+ * when `opaque` is set, for a variable's rename (elementNamed): its name is the subelement
+ * after its flags, where any other class has its dimensions.
  */
-function ownElementName(raw) {
+function ownElementName(raw, opaque = false) {
     if (raw.length < 8) {
         return null;
     }
@@ -1033,12 +1062,13 @@ function ownElementName(raw) {
         return 8 + n + ((8 - (n % 8)) % 8);
     };
     const flags = subLength(8);
-    if (!flags || raw[16] === 17) {
+    const isOpaque = raw[16] === 17;
+    if (!flags || (isOpaque && !opaque)) {
         return null;
     }
-    const dims = subLength(8 + flags);
+    const dims = isOpaque ? 0 : subLength(8 + flags);
     const nameAt = 8 + flags + dims;
-    const name = dims ? subLength(nameAt) : 0;
+    const name = dims || isOpaque ? subLength(nameAt) : 0;
     if (!name || nameAt + name > end) {
         return null;
     }
diff --git a/dist/datamodel/parser/MatWriter.js.map b/dist/datamodel/parser/MatWriter.js.map
index b52b9a9b..dccd5892 100644
--- a/dist/datamodel/parser/MatWriter.js.map
+++ b/dist/datamodel/parser/MatWriter.js.map
@@ -1 +1 @@
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\ No newline at end of file
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\ No newline at end of file
diff --git a/dist/datamodel/parser/SparseData.d.ts b/dist/datamodel/parser/SparseData.d.ts
index bcd2ea24..d1f9a962 100644
--- a/dist/datamodel/parser/SparseData.d.ts
+++ b/dist/datamodel/parser/SparseData.d.ts
@@ -57,9 +57,10 @@ export declare function backedColumnsOf(s: SparseData): number;
 export declare function unbackedColumns(s: SparseData, dims: number[]): string | null;
 /**
  * One complex element as the node layer holds it, `1+2i`, `3-4i`, `1NaNi`, `1+Infi`:
- * XmlUtils.formatComplexNum's spelling. The one spelling of an element of a complex array
- * read out of MAT bytes, full or sparse (MatlabVariableNode._createFromMatNumeric), so the
- * two show a value the same way, and the same way a binary dictionary's text shows it.
+ * XmlUtils.formatComplexNum's spelling, a -0 part's sign kept. The one spelling of an element
+ * of a complex array read out of MAT bytes, full or sparse (MatlabVariableNode.
+ * _createFromMatNumeric), so the two show a value the same way, and the same way a binary
+ * dictionary's text shows it.
  * Through 1.40.0 each part was String()'d, so an infinite part read `Infinity`, which MATLAB
  * neither writes nor reads (`{1+Infinityi}` is "Unrecognized function or variable
  * 'Infinityi'", R2027a): a text dictionary's complex(1, Inf) showed `1+Infinityi` beside
diff --git a/dist/datamodel/parser/SparseData.d.ts.map b/dist/datamodel/parser/SparseData.d.ts.map
index 99934b76..dd903147 100644
--- a/dist/datamodel/parser/SparseData.d.ts.map
+++ b/dist/datamodel/parser/SparseData.d.ts.map
@@ -1 +1 @@
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\ No newline at end of file
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diff --git a/dist/datamodel/parser/SparseData.js b/dist/datamodel/parser/SparseData.js
index c0f66c34..4cd7551e 100644
--- a/dist/datamodel/parser/SparseData.js
+++ b/dist/datamodel/parser/SparseData.js
@@ -16,7 +16,7 @@
 //
 // Parser-layer, so it imports nothing from the display or the node layer: MatParser
 // produces one of these, MatWriter consumes one, and the node layer edits one.
-import { formatComplexNum, parseComplexNum, parseMatlabNum } from './XmlUtils.js';
+import { formatComplexNum, formatMatlabNum, parseComplexNum, parseMatlabNum } from './XmlUtils.js';
 /**
  * The most elements this package lays out densely for a sparse array: the writers' fallback,
  * for an array MatWriter has no sparse storage for (a class or a rank MATLAB never stores
@@ -61,15 +61,25 @@ export function unbackedColumns(s, dims) {
 }
 /**
  * One complex element as the node layer holds it, `1+2i`, `3-4i`, `1NaNi`, `1+Infi`:
- * XmlUtils.formatComplexNum's spelling. The one spelling of an element of a complex array
- * read out of MAT bytes, full or sparse (MatlabVariableNode._createFromMatNumeric), so the
- * two show a value the same way, and the same way a binary dictionary's text shows it.
+ * XmlUtils.formatComplexNum's spelling, a -0 part's sign kept. The one spelling of an element
+ * of a complex array read out of MAT bytes, full or sparse (MatlabVariableNode.
+ * _createFromMatNumeric), so the two show a value the same way, and the same way a binary
+ * dictionary's text shows it.
  * Through 1.40.0 each part was String()'d, so an infinite part read `Infinity`, which MATLAB
  * neither writes nor reads (`{1+Infinityi}` is "Unrecognized function or variable
  * 'Infinityi'", R2027a): a text dictionary's complex(1, Inf) showed `1+Infinityi` beside
  * its binary twin's `1+Infi`. parseComplexNum still reads that spelling back.
  */
 export function complexElement(re, im) {
+    // A part of -0 keeps its sign, which formatComplexNum does not spell (String(-0) is `0`): the
+    // text is the value (MatlabVariableNode._buildVarObject writes the array from it), so a .mat's
+    // `-3i`, complex(-0, -3), written again was complex(0, -3). It reads `-0-3i`, as the same value
+    // out of a binary dictionary's `-0.0-3.0i` does, and an imaginary -0 shows with a `+`
+    // (XmlUtils.shownComplexText).
+    if (Object.is(re, -0) || Object.is(im, -0)) {
+        const part = (x) => (Object.is(x, -0) ? '-0' : formatMatlabNum(x));
+        return part(re) + (Number(im) >= 0 && !Object.is(im, -0) ? '+' : '') + part(im) + 'i';
+    }
     return formatComplexNum(re, im);
 }
 /** Entry k as the node layer holds an element: a number, or complexElement's text. */
diff --git a/dist/datamodel/parser/SparseData.js.map b/dist/datamodel/parser/SparseData.js.map
index 3cd0cc03..f8876127 100644
--- a/dist/datamodel/parser/SparseData.js.map
+++ b/dist/datamodel/parser/SparseData.js.map
@@ -1 +1 @@
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\ No newline at end of file
diff --git a/dist/index.d.ts b/dist/index.d.ts
index 4363ae4a..cc6b0d94 100644
--- a/dist/index.d.ts
+++ b/dist/index.d.ts
@@ -36,6 +36,7 @@ export type { ProjectPage, ProjectPageRun, ProjectPageShortcut, ProjectPageLabel
 export type { ParsedSlx, BlockParamUsage } from './datamodel/parser/SlxParser.js';
 export type { ParsedMdl } from './datamodel/parser/MdlParser.js';
 export type { ParsedMat, MatVariable } from './datamodel/parser/MatParser.js';
+export type { MatRecord } from './datamodel/parser/MatParser.js';
 export type { SparseData } from './datamodel/parser/SparseData.js';
 export type { ParseWarning, ParseWarningCode } from './datamodel/parser/ParseWarning.js';
 export { ingest } from './core/ingest.js';
diff --git a/dist/index.d.ts.map b/dist/index.d.ts.map
index b4e609a1..830198b8 100644
--- a/dist/index.d.ts.map
+++ b/dist/index.d.ts.map
@@ -1 +1 @@
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\ No newline at end of file
diff --git a/dist/index.js.map b/dist/index.js.map
index 24958c9b..ffd5cc79 100644
--- a/dist/index.js.map
+++ b/dist/index.js.map
@@ -1 +1 @@
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\ No newline at end of file
+{"version":3,"file":"index.js","sourceRoot":"","sources":["../src/index.ts"],"names":[],"mappings":"AAAA,qCAAqC;AACrC,6CAA6C;AAC7C,8EAA8E;AAC9E,4EAA4E;AAE5E,gFAAgF;AAChF,OAAO,uCAAuC,CAAC;AAE/C,2BAA2B;AAC3B,OAAO,EAAE,OAAO,IAAI,SAAS,EAAE,MAAM,qBAAqB,CAAC;AAE3D,OAAO,KAAK,QAAQ,MAAM,oBAAoB,CAAC;AAC/C,OAAO,EAAE,OAAO,EAAE,SAAS,EAAE,MAAM,oBAAoB,CAAC;AAExD,OAAO,KAAK,WAAW,MAAM,uBAAuB,CAAC;AAErD,iEAAiE;AACjE,OAAO,EAAE,aAAa,EAAE,MAAM,qBAAqB,CAAC;AAgBpD,uFAAuF;AACvF,qFAAqF;AACrF,wFAAwF;AACxF,sFAAsF;AACtF,wFAAwF;AACxF,8CAA8C;AAC9C,OAAO,EAAE,aAAa,EAAE,MAAM,4BAA4B,CAAC;AAC3D,0FAA0F;AAC1F,uFAAuF;AACvF,oFAAoF;AACpF,uFAAuF;AACvF,sFAAsF;AACtF,wFAAwF;AACxF,2CAA2C;AAC3C,2FAA2F;AAC3F,4FAA4F;AAC5F,wFAAwF;AACxF,8DAA8D;AAC9D,OAAO,EAAE,QAAQ,EAAE,UAAU,EAAE,iBAAiB,EAAE,aAAa,EAAE,MAAM,8BAA8B,CAAC;AACtG,OAAO,EAAE,cAAc,EAAE,MAAM,oBAAoB,CAAC;AAEpD,OAAO,EAAE,iBAAiB,EAAE,MAAM,uBAAuB,CAAC;AAG1D,sFAAsF;AACtF,oFAAoF;AACpF,sFAAsF;AACtF,sFAAsF;AACtF,uFAAuF;AACvF,iEAAiE;AACjE,OAAO,EAAE,gBAAgB,EAAE,sBAAsB,EAAE,MAAM,+BAA+B,CAAC;AAGzF,oCAAoC;AACpC,OAAO,EAAE,eAAe,EAAE,oBAAoB,EAAE,MAAM,wCAAwC,CAAC;AAC/F,qFAAqF;AACrF,kFAAkF;AAClF,kFAAkF;AAClF,mFAAmF;AACnF,gFAAgF;AAChF,oFAAoF;AACpF,oEAAoE;AACpE,OAAO,EAAE,mBAAmB,EAAE,mBAAmB,EAAE,MAAM,4CAA4C,CAAC;AACtG,+FAA+F;AAC/F,mGAAmG;AACnG,kGAAkG;AAClG,iGAAiG;AACjG,iGAAiG;AACjG,+FAA+F;AAC/F,oGAAoG;AACpG,iGAAiG;AACjG,iGAAiG;AACjG,6BAA6B;AAC7B,OAAO,EAAE,mBAAmB,EAAE,iBAAiB,EAAE,MAAM,4CAA4C,CAAC;AACpG,OAAO,EAAE,iBAAiB,EAAE,MAAM,kCAAkC,CAAC;AAErE,2FAA2F;AAC3F,yFAAyF;AACzF,6FAA6F;AAC7F,4FAA4F;AAC5F,4FAA4F;AAC5F,uFAAuF;AACvF,0FAA0F;AAC1F,6FAA6F;AAC7F,2FAA2F;AAC3F,2EAA2E;AAC3E,6EAA6E;AAC7E,OAAO,EAAE,aAAa,EAAE,cAAc,EAAE,MAAM,iCAAiC,CAAC;AAChF,OAAO,EAAE,QAAQ,EAAE,MAAM,iCAAiC,CAAC;AAC3D,OAAO,EAAE,QAAQ,EAAE,MAAM,iCAAiC,CAAC;AAC3D,iFAAiF;AACjF,8EAA8E;AAC9E,OAAO,EAAE,UAAU,EAAE,MAAM,mCAAmC,CAAC;AAC/D,OAAO,EAAE,QAAQ,EAAE,MAAM,iCAAiC,CAAC;AAC3D,OAAO,EAAE,YAAY,EAAE,MAAM,qCAAqC,CAAC;AACnE,6EAA6E;AAC7E,sFAAsF;AACtF,qFAAqF;AACrF,wFAAwF;AACxF,gFAAgF;AAChF,qFAAqF;AACrF,OAAO,EAAE,gBAAgB,EAAE,MAAM,mCAAmC,CAAC;AAUrE,qFAAqF;AACrF,sFAAsF;AACtF,sFAAsF;AACtF,iFAAiF;AACjF,OAAO,EAAE,gBAAgB,EAAE,MAAM,mCAAmC,CAAC;AAiCrE,wEAAwE;AACxE,OAAO,EAAE,MAAM,EAAE,MAAM,kBAAkB,CAAC;AAG1C,wFAAwF;AACxF,0FAA0F;AAC1F,0FAA0F;AAC1F,yFAAyF;AACzF,0FAA0F;AAC1F,kDAAkD;AAClD,uFAAuF;AACvF,uFAAuF;AACvF,sFAAsF;AACtF,yFAAyF;AACzF,0FAA0F;AAC1F,mEAAmE;AACnE,4FAA4F;AAC5F,wFAAwF;AACxF,uFAAuF;AACvF,+EAA+E;AAC/E,2FAA2F;AAC3F,uFAAuF;AACvF,2FAA2F;AAC3F,2FAA2F;AAC3F,wFAAwF;AACxF,uFAAuF;AACvF,4FAA4F;AAC5F,mFAAmF;AACnF,0FAA0F;AAC1F,yFAAyF;AACzF,iFAAiF;AACjF,gDAAgD;AAChD,OAAO,EACL,KAAK,EACL,UAAU,EACV,WAAW,EACX,WAAW,EACX,WAAW,EACX,aAAa,EACb,mBAAmB,EACnB,WAAW,EACX,UAAU,EACV,SAAS,EACT,aAAa,EACb,iBAAiB,EACjB,iBAAiB,GAClB,MAAM,0BAA0B,CAAC;AAElC,uFAAuF;AACvF,yFAAyF;AACzF,0FAA0F;AAC1F,qFAAqF;AACrF,6FAA6F;AAC7F,4FAA4F;AAC5F,qFAAqF;AACrF,sEAAsE;AACtE,OAAO,EAAE,eAAe,EAAE,gBAAgB,EAAE,eAAe,EAAE,iBAAiB,EAAE,MAAM,mCAAmC,CAAC;AAE1H,iFAAiF;AACjF,wFAAwF;AACxF,uFAAuF;AACvF,uFAAuF;AACvF,oFAAoF;AACpF,wFAAwF;AACxF,sFAAsF;AACtF,OAAO,EAAE,QAAQ,EAAuB,MAAM,gCAAgC,CAAC;AAE/E,2FAA2F;AAC3F,2FAA2F;AAC3F,0FAA0F;AAC1F,wFAAwF;AACxF,sFAAsF;AACtF,2FAA2F;AAC3F,2FAA2F;AAC3F,2CAA2C;AAC3C,OAAO,EAAE,OAAO,EAAsB,MAAM,+BAA+B,CAAC;AAE5E,wFAAwF;AACxF,yFAAyF;AACzF,yFAAyF;AACzF,sFAAsF;AACtF,2FAA2F;AAC3F,2FAA2F;AAC3F,yFAAyF;AACzF,yCAAyC;AACzC,OAAO,EAAE,kBAAkB,EAAuB,MAAM,0CAA0C,CAAC;AAEnG,wFAAwF;AACxF,0FAA0F;AAC1F,0FAA0F;AAC1F,0FAA0F;AAC1F,wFAAwF;AACxF,0FAA0F;AAC1F,oFAAoF;AACpF,sFAAsF;AACtF,2EAA2E;AAC3E,OAAO,EAAE,SAAS,EAAE,aAAa,EAAE,aAAa,EAAE,UAAU,EAAE,YAAY,EAAE,MAAM,iCAAiC,CAAC;AAEpH,uFAAuF;AACvF,wFAAwF;AACxF,qFAAqF;AACrF,wFAAwF;AACxF,2FAA2F;AAC3F,0FAA0F;AAC1F,uFAAuF;AACvF,uFAAuF;AACvF,qFAAqF;AACrF,4FAA4F;AAC5F,yFAAyF;AACzF,sFAAsF;AACtF,mFAAmF;AACnF,4FAA4F;AAC5F,OAAO,EACL,OAAO,EACP,WAAW,EACX,yBAAyB,EACzB,YAAY,EACZ,sBAAsB,EACtB,gBAAgB,EAChB,qBAAqB,EACrB,aAAa,EACb,mBAAmB,EACnB,cAAc,EACd,SAAS,EACT,kBAAkB,GACnB,MAAM,iCAAiC,CAAC;AAUzC,qFAAqF;AACrF,wFAAwF;AACxF,wFAAwF;AACxF,0FAA0F;AAC1F,4FAA4F;AAC5F,yFAAyF;AACzF,cAAc;AACd,4FAA4F;AAC5F,yFAAyF;AACzF,0FAA0F;AAC1F,uFAAuF;AACvF,0FAA0F;AAC1F,2FAA2F;AAC3F,kFAAkF;AAClF,4FAA4F;AAC5F,2FAA2F;AAC3F,4FAA4F;AAC5F,wFAAwF;AACxF,0FAA0F;AAC1F,uEAAuE;AACvE,OAAO,EACL,eAAe,EACf,4BAA4B,EAC5B,kBAAkB,EAClB,cAAc,EACd,oBAAoB,EACpB,iBAAiB,EACjB,gBAAgB,EAChB,WAAW,GACZ,MAAM,iCAAiC,CAAC;AAUzC,2FAA2F;AAC3F,uFAAuF;AACvF,uFAAuF;AACvF,oCAAoC;AACpC,OAAO,EAAE,YAAY,EAAE,MAAM,0BAA0B,CAAC;AAGxD,kFAAkF;AAClF,OAAO,EAAE,KAAK,EAAE,MAAM,eAAe,CAAC;AAGtC,qDAAqD;AACrD,OAAO,EAAE,OAAO,IAAI,cAAc,EAAE,MAAM,yCAAyC,CAAC;AACpF,OAAO,EAAE,OAAO,IAAI,QAAQ,EAAE,MAAM,wCAAwC,CAAC;AAC7E,OAAO,EAAE,YAAY,EAAE,MAAM,2CAA2C,CAAC;AACzE,OAAO,EAAE,kBAAkB,EAAE,MAAM,kCAAkC,CAAC;AACtE,OAAO,EAAE,YAAY,EAAE,MAAM,wBAAwB,CAAC;AACtD,OAAO,EAAE,kBAAkB,EAAE,MAAM,iCAAiC,CAAC;AAErE,oFAAoF;AACpF,0FAA0F;AAC1F,8EAA8E;AAC9E,OAAO,EAAE,OAAO,IAAI,WAAW,EAAE,MAAM,iCAAiC,CAAC;AAEzE,wFAAwF;AACxF,sFAAsF;AACtF,yFAAyF;AACzF,uFAAuF;AACvF,4FAA4F;AAC5F,uFAAuF;AACvF,6FAA6F;AAC7F,qFAAqF;AACrF,8EAA8E;AAC9E,OAAO,EAAE,cAAc,EAAE,kBAAkB,EAAE,MAAM,qBAAqB,CAAC;AAGzE,uFAAuF;AACvF,0FAA0F;AAC1F,yFAAyF;A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\ No newline at end of file
diff --git a/src/core/DataModel.ts b/src/core/DataModel.ts
index 1b9e9ce4..d58844ab 100644
--- a/src/core/DataModel.ts
+++ b/src/core/DataModel.ts
@@ -12,6 +12,7 @@ import { parseMat } from '../datamodel/parser/MatParser.js';
 import type { ParsedMat } from '../datamodel/parser/MatParser.js';
 import { parseProject } from '../datamodel/parser/ProjectParser.js';
 import { serializeBinarySldd } from '../datamodel/parser/BinarySlddSerializer.js';
+import { serializeMatFile } from '../datamodel/parser/MatFileWriter.js';
 import { catalogFunctionRenames, catalogRenames, scJsonTextWithRenames } from '../datamodel/parser/ScCatalog.js';
 // The name reductions and the expression reading, from the leaf modules that hold the
 // single copy of each. This file used to spell all three itself; the usage index needs
@@ -29,7 +30,7 @@ import type { ParseWarning } from '../datamodel/parser/ParseWarning.js';
 // a field of NodeUsage breaks the one line that installs the resolver — see UsageResolver.
 import type { RowData, UsageResolver, TypeLinkResolver } from '../datamodel/node/BaseNode.js';
 import RowCellPool from '../datamodel/node/RowCellPool.js';
-import { propNamed } from '../datamodel/node/BaseNode.js';
+import { propNamed, sourceEditRefusal } from '../datamodel/node/BaseNode.js';
 import type BaseNode from '../datamodel/node/BaseNode.js';
 import { holdersRestorer } from '../datamodel/node/childEdit.js';
 
@@ -1749,6 +1750,21 @@ function editProperty(
   if (typeof newValue === 'string' && newValue === priorValue) {
     return true;
   }
+  // An edit the node's source would not write is refused before any setter is asked
+  // (BaseNode.sourceEditRefusal): a MAT-file's object, say, takes a rename and nothing else.
+  // Every setter asks the same rule (DataNode._refuseEncodedEdit); this is for one that does
+  // not, of a class a file can hold.
+  const prop = propNamed(node.getProperties(), propertyName);
+  const isName = propertyName === 'Name' || prop?.key === 'Name';
+  const refused = sourceEditRefusal(node as unknown as BaseNode, isName ? 'Name' : prop?.key ?? propertyName);
+  if (refused) {
+    return {
+      error: true,
+      reason: refused,
+      invalidValue: String(newValue),
+      validValue: isName ? node.name : typeof priorValue === 'string' ? priorValue : node.displayValue,
+    };
+  }
   // Unless the node can put the value back itself, which the undo then has it do: the text
   // it shows is not always its value (an empty's `[ ]` is a 0x0 double, whatever it was).
   const restore = propertyRestorer(node, propertyName);
@@ -1807,14 +1823,18 @@ function editProperty(
 // entry is named `entryName`, or the class's default name, with a counter appended if
 // that name is taken. Returns null, and adds nothing and records no undo step, when
 // there is no active dictionary, no section takes the class, or the name is not one
-// MATLAB can load (see SectionNode.addEntry): the same rule a rename applies.
+// MATLAB can load (see SectionNode.addEntry): the same rule a rename applies. A MAT-file
+// takes a plain variable, the double 0 named `var` (MatNode.execAddEntry), and nothing its
+// save could not write.
 function addEntry(sectionKey: string, className: string, entryName?: string): INode | null {
   const slddNode = getActiveSlddNode();
   if (!slddNode) {
     return null;
   }
 
-  let section: IContainerNode | null = slddNode.getSection(sectionKey);
+  // A MAT-file has no sections: its variables are its own children, so it takes the entry
+  // itself, whatever `sectionKey` says (MatNode.execAddEntry: a plain variable, `0`).
+  let section: IContainerNode | null = slddNode instanceof MatNode ? slddNode : slddNode.getSection(sectionKey);
   if (!section) {
     // When at root (sectionKey='sldd'), find the section that accepts this className
     for (const child of slddNode.children) {
@@ -2234,16 +2254,18 @@ function getActiveSlddNode(): ISourceNode | null {
  *
  * Null for two distinct absences, deliberately given the same answer: a srcId the
  * session does not hold (the same answer getDataSource gives the same question), and
- * a source whose format HAS no write path. `.slx`, `.mdl`, `.mat` and `.prj` are
- * read-only in this package — only `.sldd` has a writer, and only that writer has a
- * live MATLAB gate behind it. Null rather than a throw because a consumer enumerating
- * every open source to find the saveable ones should not need a try/catch per source,
- * and because there is nothing exceptional about a project file not being writable.
+ * a source whose format HAS no write path. `.slx`, `.mdl` and `.prj` are read-only in
+ * this package — `.sldd` and `.mat` have writers. Null rather than a throw because a
+ * consumer enumerating every open source to find the saveable ones should not need a
+ * try/catch per source, and because there is nothing exceptional about a project file
+ * not being writable.
  *
  * Throws for a value in it that no writer may write: one past the unbacked-bytes budget, as
  * a MatBudgetError naming the entry, the path in it and the budget (MatWriter.budgetFailure).
  * Nothing is returned then — no part of a file — and nothing in the session changes, so the
- * save after the value is fixed or removed is the save there would have been.
+ * save after the value is fixed or removed is the save there would have been. A `.mat` save
+ * throws a MatWriteError the same way, naming the variable or the file, for anything it
+ * cannot write as what it is (MatFileWriter.serializeMatFile).
  *
  * The flavour follows the FILE, not a default: a `.sldd` that arrived as a
  * compressed-binary package is answered with zip bytes and one that arrived as JSON
@@ -2256,6 +2278,13 @@ function serializeSource(srcId: string): SerializedSource | null {
   if (!source) {
     return null;
   }
+  // A MAT-file is written as its own records, what was edited written fresh, and is
+  // binary whatever its records are, compressed (`-v7`) or not (`-v6`). An instanceof
+  // for the reason the dictionary's is below: serializeMatFile reaches for the records
+  // and the node bound to each, which only a MatNode built from a parse holds.
+  if (source instanceof MatNode) {
+    return { kind: 'binary', sourceFormat: source.sourceFormat, bytes: serializeMatFile(source) };
+  }
   // An instanceof rather than a duck test on serializeJson: serializeBinarySldd
   // reaches for _zipMetadata and _dataSourceAttrs, so a lookalike that merely
   // answers the same method names would be handed to a writer built for the class.
diff --git a/src/core/sessionTypes.ts b/src/core/sessionTypes.ts
index 7f7cfa69..519de78c 100644
--- a/src/core/sessionTypes.ts
+++ b/src/core/sessionTypes.ts
@@ -52,8 +52,8 @@ export interface CreateSessionOptions {
  *
  * `sourceFormat` is the source node's OWN format string — the same vocabulary
  * SourceDTO.sourceFormat publishes ('json' for a textual `.sldd`, 'xml' for a
- * compressed-binary one) — so a consumer can correlate the two without a mapping
- * table of its own.
+ * compressed-binary one, 'mat' for a MAT-file, which is always `binary`) — so a
+ * consumer can correlate the two without a mapping table of its own.
  */
 export type SerializedSource =
   | { kind: 'binary'; sourceFormat: string; bytes: Uint8Array }
diff --git a/src/datamodel/node/BaseNode.ts b/src/datamodel/node/BaseNode.ts
index 2df2cbf1..1b36b9be 100644
--- a/src/datamodel/node/BaseNode.ts
+++ b/src/datamodel/node/BaseNode.ts
@@ -187,6 +187,33 @@ export function encodedHolderOf(node: BaseNode | null | undefined): BaseNode | n
   return null;
 }
 
+/**
+ * Why the source `node` is in refuses an edit of `key` at `node`, in words, or null where it
+ * takes it. `key` is 'Name' for the node's own name, and the property's key for anything else,
+ * 'Value' for a child added or removed.
+ *
+ * A source answers for itself, through the first container above the node, which an entry is a
+ * child of: a MAT-file, whose save writes only some edits (MatNode._editRefusal). A dictionary's
+ * section and a model's do not answer, and take every edit their nodes take. Asked by every
+ * editability getter below, by the structural gates (DataNode._encodedReadOnly), by the setters
+ * (DataNode._refuseEncodedEdit, the rename) and by the session's editProperty, so that what the
+ * table offers and what an edit is taken for are one answer. Duck-typed, as encodedHolderOf is:
+ * this class imports no container.
+ */
+export function sourceEditRefusal(node: BaseNode, key: string): string | null {
+  let entry: BaseNode | null = null;
+  let n: BaseNode | null = node;
+  while (n && !(n as unknown as { isContainer?: boolean }).isContainer) {
+    entry = n;
+    n = n.parent;
+  }
+  const refuse = (n as unknown as { _editRefusal?: SourceEditRefusal } | null)?._editRefusal;
+  return entry && typeof refuse === 'function' ? refuse.call(n, entry, node, key) : null;
+}
+
+/** A source's answer to sourceEditRefusal, for `node`, which is `entry` or a node under it. */
+export type SourceEditRefusal = (entry: BaseNode, node: BaseNode, key: string) => string | null;
+
 /**
  * The prop in `props` that an edit naming `name` is an edit of: the one whose key or column is
  * `name`, which is how an edit committed in the 'Value' column reaches the atom that owns it (a
@@ -320,7 +347,8 @@ export default class BaseNode {
     if (this.parent?.fixesChildNames) {
       return false;
     }
-    return true;
+    // Nor a name its source would not write (sourceEditRefusal).
+    return !sourceEditRefusal(this, 'Name');
   }
 
   // Called on a node after a structural edit added or removed a child of `child`
@@ -423,10 +451,15 @@ export default class BaseNode {
     while (root.parent) {
       root = root.parent;
     }
-    const source = root as unknown as { dirty?: boolean };
+    const source = root as unknown as { dirty?: boolean; _nodeEdited?: (node: BaseNode) => void };
     if (source.dirty !== undefined) {
       source.dirty = true;
     }
+    // And a source that keeps what it found of each of its entries is told which node changed,
+    // so that it forgets what it found of that node's entry, and of no other (MatNode._nodeEdited).
+    if (typeof source._nodeEdited === 'function') {
+      source._nodeEdited(this);
+    }
     // Every mutation reaches here, so this is where a rename — the edit that actually moves
     // a link — is caught. A value edit drops the index too, needlessly; the rebuild rides
     // the row build that edit was already going to cause.
@@ -627,7 +660,8 @@ export default class BaseNode {
     if (v && v.charAt(0) === '<' && v.charAt(v.length - 1) === '>') {
       return false;
     }
-    return true;
+    // Nor a value its source would not write (sourceEditRefusal).
+    return !sourceEditRefusal(this, 'Value');
   }
 
   // Whether a Description typed onto this row could be SAVED — the third member of the
@@ -645,7 +679,7 @@ export default class BaseNode {
   // Parameter whose value displays as a `<1x12 double>` summary takes no value editor
   // and can still be described.
   get descriptionEditable(): boolean {
-    return !encodedHolderOf(this);
+    return !encodedHolderOf(this) && !sourceEditRefusal(this, 'Description');
   }
 
   getPropInfo(PropClassRef: PropClass): PropInfo {
@@ -679,6 +713,12 @@ export default class BaseNode {
     if (key !== 'Name' && encodedHolderOf(this)) {
       editable = false;
     }
+    // And any its source would not write (sourceEditRefusal), the Name included: asked last,
+    // and only of a property every rule above leaves editable, as it is the one that walks to
+    // the source.
+    if (editable && sourceEditRefusal(this, key)) {
+      editable = false;
+    }
 
     return {
       key,
diff --git a/src/datamodel/node/DataNode.ts b/src/datamodel/node/DataNode.ts
index da45b847..0d2c28b1 100644
--- a/src/datamodel/node/DataNode.ts
+++ b/src/datamodel/node/DataNode.ts
@@ -1,6 +1,6 @@
 // Copyright 2026 The MathWorks, Inc.
 
-import BaseNode, { encodedHolderOf, propNamed } from './BaseNode.js';
+import BaseNode, { encodedHolderOf, propNamed, sourceEditRefusal } from './BaseNode.js';
 import type { PropClass } from './BaseNode.js';
 import type { ChildAddEdit, ChildUndoRedo } from './childEdit.js';
 import { trySetSchemaProperty } from './schemaBridge.js';
@@ -308,6 +308,13 @@ export default class DataNode extends BaseNode {
   // long as it is still the value: see _adoptEncoded. Undefined on every node but the one
   // a binary dictionary's `Encoding="hex"` element decoded into.
   _encoded?: EncodedValue;
+  // Set on an entry by every edit under it but the entry's own rename (_markModified), and
+  // never cleared, an undo included. `status` is 'Modified' after either, so this is what
+  // tells an entry that was only renamed, whose value is still the bytes it was read from,
+  // from one whose value changed: a MAT-file save writes the first as those bytes with the
+  // new name in them, and the second fresh (MatFileWriter). Left set by an undo, it writes
+  // a value equal to the one read, fresh, which is the safe side.
+  _valueEdited?: boolean;
   rawXml?: string;
   // A semantic classification token (e.g. 'DataInterface', 'StructType') set at
   // parse time for entries the source classifies beyond their Class (currently
@@ -491,10 +498,13 @@ export default class DataNode extends BaseNode {
       // something asks for it directly — renaming a Simulink.Parameter's `Value` row was
       // exactly that, accepted by the model and dropped by serialize, which writes the
       // key `Value` whatever the node is called.
+      // Said as the source says it, when it is the source that refuses (BaseNode.sourceEditRefusal:
+      // a MAT-file's variable stored after its subsystem), which _refuseEncodedEdit has asked
+      // already for every class whose setter comes here first.
       if (!this.nameEditable) {
         return {
           error: true,
-          reason: `'${this.displayName}' is not a name this entry can carry, so it cannot be renamed.`,
+          reason: sourceEditRefusal(this, 'Name') ?? `'${this.displayName}' is not a name this entry can carry, so it cannot be renamed.`,
           invalidValue: stringValue,
           validValue: this.displayName,
         };
@@ -517,14 +527,24 @@ export default class DataNode extends BaseNode {
           typeof nsHolds === 'function'
             ? stringValue !== this.name && nsHolds.call(this.parent, stringValue) > 0
             : this.parent.children.some((sibling) => sibling !== this && sibling.name === stringValue);
+        // Said of where the names are one namespace: a dictionary's Design and Architectural
+        // Data, or a MAT-file, which names itself (MatNode._namespaceLabel).
         if (duplicate) {
+          const where = (this.parent as unknown as { _namespaceLabel?: string })._namespaceLabel ?? 'Design or Architectural Data';
           return {
             error: true,
-            reason: "'" + stringValue + "' already exists in Design or Architectural Data",
+            reason: "'" + stringValue + "' already exists in " + where,
             invalidValue: stringValue,
             validValue: this.name,
           };
         }
+        // And a name the parent could not write: a MAT-file's variable whose record is not one
+        // whole element, whose name its save has nowhere to put (MatNode._renameRefusal).
+        const renameRefusal = (this.parent as unknown as { _renameRefusal?: (node: BaseNode) => string | null })._renameRefusal;
+        const refused = typeof renameRefusal === 'function' ? renameRefusal.call(this.parent, this) : null;
+        if (refused) {
+          return { error: true, reason: refused, invalidValue: stringValue, validValue: this.name };
+        }
       }
       const oldName = this.name;
       this.name = stringValue;
@@ -563,7 +583,7 @@ export default class DataNode extends BaseNode {
       // Class="double" element, which made MATLAB refuse to open the whole file.
       const encoded = this._encoded;
       const raw = this._rawInput;
-      this._markModified();
+      this._markModified('name');
       this._encoded = encoded;
       this._rawInput = raw;
       return true;
@@ -755,7 +775,11 @@ export default class DataNode extends BaseNode {
   // edit below it on save. A value read from a stream is read-only (_refuseEncodedEdit and
   // BaseNode's editability), so nothing should reach here from inside one; this is the
   // second line, for whatever does. The rename that keeps it is DataNode.setProperty's.
-  _markModified(): void {
+  //
+  // `edit` is 'name' for that rename, and only for it. An entry's own rename leaves its value
+  // as it was, and every other edit marks the entry `_valueEdited`; so does the rename of
+  // anything under it, a struct's field, which changes the entry's value.
+  _markModified(edit: 'value' | 'name' = 'value'): void {
     const entry = this.owningEntry;
     for (let node: BaseNode | null = this; node && node !== entry; node = node.parent) {
       if ((node as DataNode)._rawInput !== undefined) {
@@ -767,6 +791,9 @@ export default class DataNode extends BaseNode {
     }
     if (entry) {
       entry.status = 'Modified';
+      if (edit !== 'name' || entry !== this) {
+        entry._valueEdited = true;
+      }
       if (entry._rawInput !== undefined) {
         entry._rawInput = undefined;
       }
@@ -1222,30 +1249,40 @@ export default class DataNode extends BaseNode {
   }
 
   /**
-   * Is this node at or under one whose value is still an encoded stream? The structural
-   * gates (canAddChild, canRemoveChild) of every class that has them ask this, for the
-   * reason _refuseEncodedEdit gives: a child added or removed there could not reach the file.
+   * Is this node at or under one whose value is still an encoded stream, or one whose source
+   * would not write a change to it (BaseNode.sourceEditRefusal: a MAT-file's object, say)? The
+   * structural gates (canAddChild, canRemoveChild) of every class that has them ask this, for
+   * the reason _refuseEncodedEdit gives: a child added or removed there could not reach the file.
    */
   get _encodedReadOnly(): boolean {
-    return !!encodedHolderOf(this);
+    return !!encodedHolderOf(this) || !!sourceEditRefusal(this, 'Value');
   }
 
+  /**
+   * The refusal of an edit of `propName` at or under a value still in the encoded stream it was
+   * read from, but for the holder's own name, or of one this node's source would not write
+   * (BaseNode.sourceEditRefusal), in its words; null where the edit may go ahead. Asked first by
+   * the setter of every class that has one, so that no setter takes what the table offers no
+   * editor for.
+   */
   _refuseEncodedEdit(propName: string, stringValue: string): SetPropertyResult | null {
+    const isName = this._resolveProperty(propName) === 'name';
     const holder = encodedHolderOf(this);
-    if (!holder) {
-      return null;
+    if (holder && !(holder === this && isName)) {
+      return {
+        error: true,
+        reason:
+          `'${holder.displayName}' is stored as an encoded MATLAB value that this editor can show but not write, ` +
+          'so it is read-only.',
+        invalidValue: stringValue,
+        validValue: isName ? this.name : this.displayValue,
+      };
     }
-    if (holder === this && this._resolveProperty(propName) === 'name') {
-      return null;
+    const refused = sourceEditRefusal(this, isName ? 'Name' : this._propFor(propName)?.key ?? propName);
+    if (refused) {
+      return { error: true, reason: refused, invalidValue: stringValue, validValue: isName ? this.name : this.displayValue };
     }
-    return {
-      error: true,
-      reason:
-        `'${holder.displayName}' is stored as an encoded MATLAB value that this editor can show but not write, ` +
-        'so it is read-only.',
-      invalidValue: stringValue,
-      validValue: this._resolveProperty(propName) === 'name' ? this.name : this.displayValue,
-    };
+    return null;
   }
 
   /**
diff --git a/src/datamodel/node/container/MatNode.ts b/src/datamodel/node/container/MatNode.ts
index 56f9bb2a..e4d0ae2a 100644
--- a/src/datamodel/node/container/MatNode.ts
+++ b/src/datamodel/node/container/MatNode.ts
@@ -10,28 +10,332 @@ import type { MatVariable } from '../data/MatlabVariableNode.js';
 import type { ParseWarning } from '../../parser/ParseWarning.js';
 import { reasonOf } from '../../parser/ParseWarning.js';
 import { functionHandleOf } from '../../parser/MatParser.js';
+import type { MatRecord, ParsedMat } from '../../parser/MatParser.js';
 import PropName from '../../prop/PropName.js';
 import { MAT_NODE_CEILING } from '../../display/DisplayConvention.js';
 import { buildUnderCeiling, buildUncut, chargeNodes } from '../data/matNodeCeiling.js';
+import {
+  PAST_SUBSYSTEM,
+  duplicateWhy,
+  freshRefusal,
+  renameWhy,
+  structureRefusal,
+  subsystemOf,
+  unsavableRefusal,
+  unwritableIn,
+} from '../../parser/MatFileWriter.js';
+import type { MatWriteError } from '../../parser/MatWriter.js';
+import { validateMatlabName } from '../../matlabName.js';
+import { owningEntryOf } from '../DataNode.js';
+import { basenameOf } from '../../fileKinds.js';
+
+// What MatNode.fromParsed builds a tree from: a parse of this package's (ParsedMat), or a
+// host's, whose parse may be an older one's, without the records a save splices.
+export type MatParse = Pick<ParsedMat, 'header' | 'variables'> &
+  Partial<Pick<ParsedMat, 'warnings' | 'headerBytes' | 'subsystemOffset' | 'records' | 'framed' | 'unframed'>>;
 
 export default class MatNode extends ContainerNode {
   header: string;
   dirty: boolean;
   _anonymousElements: MatVariable[];
+  // The file as a save splices it (ParsedMat's fields of the same names): its header's 128
+  // bytes, every record in it, the subsystem's offset, and whether the records are the file.
+  //
+  // `records` is null, and so is `headerBytes`, when this tree was not built from records
+  // a save can trust: a host's parse that carries none (an older package's, handed to
+  // addMatSourceParsed), one whose records are not byte views, or one whose variables are
+  // not each the variable of one record. No save of such a tree is safe, and a writer
+  // that finds `records` null refuses it, rather than building one out of the variables
+  // alone, which loses every record the reader did not read.
+  headerBytes: Uint8Array | null;
+  records: MatRecord[] | null;
+  subsystemOffset: number;
+  framed: boolean;
+  unframed: { at: number; reason: string } | null;
+  // Which node each record became, and the other way round (nodeOf, recordOf). A node is
+  // the same object for as long as it is in the tree: an edit changes it in place, a
+  // delete takes it out (its `parent` is then no longer this), and its undo puts the same
+  // node back. So a record's node, in the tree or not, is what became of the record.
+  _recordNodes: Map<MatRecord, BaseNode>;
+  _nodeRecords: Map<BaseNode, MatRecord>;
+  // What the gate of the editor (_editRefusal) has found: the refusal of the file as a whole
+  // (undefined until asked) and the subsystem's record, which no edit changes; what a save would
+  // refuse of each variable's value written fresh, kept until an edit of that variable
+  // (_nodeEdited) or its leaving or joining the file (addChild, removeChild); and how many
+  // variables hold each name, moved with every variable added, removed or renamed, as of
+  // `_entriesVersion` (_namespaceHolds).
+  _fileVerdict: string | null | undefined;
+  _subsystem: MatRecord | null | undefined;
+  _valueVerdicts: WeakMap<BaseNode, string | null>;
+  _nameCounts: Map<string, number> | null;
+  _countedAt: number;
+  // Moved by every change to which variables this file holds and what they are called, as a
+  // dictionary's section's is (SectionNode._entriesVersion): BaseNode._replaceWith moves it too,
+  // so that a slot that changes hands has its names counted again.
+  _entriesVersion: number;
 
   constructor(name: string) {
     super(name, null);
     this.header = '';
     this.dirty = false;
+    this._valueVerdicts = new WeakMap();
+    this._nameCounts = null;
+    this._countedAt = -1;
+    this._entriesVersion = 0;
     this._anonymousElements = [];
+    this.headerBytes = null;
+    this.records = null;
+    this.subsystemOffset = 0;
+    this.framed = false;
+    this.unframed = null;
+    this._recordNodes = new Map();
+    this._nodeRecords = new Map();
+  }
+
+  /**
+   * The record `node` was read from, or null for a node no record became: a variable added
+   * since the file was read, or any node of a tree with no records (`records` null).
+   */
+  recordOf(node: BaseNode): MatRecord | null {
+    return this._nodeRecords.get(node) ?? null;
+  }
+
+  /**
+   * The node `record` became, whether or not it is still in the tree (a deleted one's
+   * `parent` is not this), or null for a record that became no node: the subsystem or
+   * another unnamed element (`_anonymousElements`), and a record the reader dropped.
+   */
+  nodeOf(record: MatRecord): BaseNode | null {
+    return this._recordNodes.get(record) ?? null;
   }
 
   get displayName(): string {
     return this.name;
   }
 
+  // Saved by serializeSource (MatFileWriter), so a file is read-only only when no save of it
+  // can be written: opened without its records, its bytes handed away since, its records not
+  // tiling it, or its subsystem not where its header says (_fileRefusal).
   get readOnly(): boolean {
-    return true;
+    return this._fileRefusal() !== null;
+  }
+
+  // An edit of `node`, which is a variable of this file or a node under one (BaseNode.
+  // _markSourceDirty): what the gate found of that variable's value is forgotten, and of no other,
+  // since nothing a save refuses of a value written fresh is about another variable
+  // (freshRefusal). Which names two of them share is counted apart (_namespaceHolds). Forgetting
+  // every variable's at every edit re-walked every variable a table showed after each, and each
+  // of N renames counted N names again.
+  _nodeEdited(node: BaseNode): void {
+    const entry = owningEntryOf(node);
+    if (entry && entry.parent === this) {
+      this._valueVerdicts.delete(entry);
+    }
+  }
+
+  addChild(child: BaseNode, index?: number): BaseNode {
+    super.addChild(child, index);
+    this._valueVerdicts.delete(child);
+    this._entriesMoved(null, child.name);
+    return child;
+  }
+
+  removeChild(child: BaseNode): void {
+    const before = this.children.length;
+    super.removeChild(child);
+    if (this.children.length < before) {
+      this._valueVerdicts.delete(child);
+      this._entriesMoved(child.name, null);
+    }
+  }
+
+  // One of my variables renamed (DataNode.setProperty): its name's count moves with it.
+  _entryRenamed(oldName: string, newName: string): void {
+    this._entriesMoved(oldName, newName);
+  }
+
+  // A variable of this file stopped being called `gone`, and one started being called `came`
+  // (either null): one removed, added or renamed. The version moves, and the counts, when they
+  // are of the version before, move with it and go on holding.
+  _entriesMoved(gone: string | null, came: string | null): void {
+    const held = this._nameCounts !== null && this._countedAt === this._entriesVersion;
+    this._entriesVersion++;
+    if (!held) {
+      return;
+    }
+    const counts = this._nameCounts!;
+    if (gone !== null) {
+      const left = (counts.get(gone) ?? 0) - 1;
+      if (left > 0) {
+        counts.set(gone, left);
+      } else {
+        counts.delete(gone);
+      }
+    }
+    if (came !== null) {
+      counts.set(came, (counts.get(came) ?? 0) + 1);
+    }
+    this._countedAt = this._entriesVersion;
+  }
+
+  // ---- The edits a save of this file can write ----------------------------------------------
+  //
+  // The editor takes no edit a save of this file would then refuse (MatFileWriter), so that none
+  // is made that cannot be kept: the baseline is that no edit taken is one a save then refuses,
+  // or writes as something else. One rule, this one, asked by every path an edit takes
+  // (BaseNode.sourceEditRefusal): the editors of the table and of the Property Inspector
+  // (BaseNode.getPropInfo, nameEditable, valueEditable, descriptionEditable), the gates of a
+  // child added or removed (DataNode._encodedReadOnly), each class's setter
+  // (DataNode._refuseEncodedEdit, DataNode's rename), and the session's editProperty. Built of the
+  // writer's own refusals (unsavableRefusal, structureRefusal, freshRefusal, PAST_SUBSYSTEM,
+  // duplicateWhy), so that the two cannot come to disagree.
+
+  /**
+   * Why an edit of `key` at `node`, which is `entry` or a node under it, is refused, as a
+   * message naming the variable or the file, or null where a save of this file writes it.
+   * `key` is 'Name' for `node`'s own name, and a property's key for anything else: 'Value'
+   * for a value typed in, a child added or removed, and an element's or a field's edit.
+   *
+   *   - every edit, of a file no save of which can be written (_fileRefusal), its variables'
+   *     delete and the addition of one included (execRemoveEntry, execAddEntry);
+   *   - every edit of a variable stored after the subsystem, its name included: MATLAB does
+   *     not read it there, and moved, what MATLAB loads would change. It can be deleted;
+   *   - a variable's own name: taken, and written as its record with the name replaced;
+   *   - anything else, which writes the variable fresh: refused where the writer refuses that
+   *     (freshRefusal: an object's typed node, a string, a function handle, a value not
+   *     decoded, and a variable holding one at any depth), or where another variable of the
+   *     file has its name;
+   *   - and Add ('Add', MatlabVariableNode.canAddChild) on a struct that is not 1x1 or is an
+   *     element of one, which is written, but not as the tree shows it. Add gives a struct a
+   *     field row of its own: the rows of a struct array are its elements, so the row was an
+   *     element of no fields the save did not write; a 0x0 struct's field was written with no
+   *     element to hold it, which reads back as no field; and a field added to one element of
+   *     a struct array is written into every element, as MATLAB adds one, `[]` in the others,
+   *     which the tree did not show.
+   *
+   * Phase 2 of the MAT-file save widens the last of these, for the properties of an object it
+   * writes into the subsystem.
+   */
+  _editRefusal(entry: BaseNode, node: BaseNode, key: string): string | null {
+    const file = this._fileRefusal();
+    if (file) {
+      return file;
+    }
+    const record = this.recordOf(entry);
+    const subsystem = this._subsystemRecord();
+    if (record && subsystem && record.offset > subsystem.offset) {
+      return cannotEdit(entry.name, PAST_SUBSYSTEM);
+    }
+    if (node === entry && (key === 'Name' || key === 'name')) {
+      return null;
+    }
+    let verdict = this._valueVerdicts.get(entry);
+    if (verdict === undefined) {
+      const refused = freshRefusal(entry, record);
+      verdict = refused ? editRefusalOf(refused) : null;
+      this._valueVerdicts.set(entry, verdict);
+    }
+    if (!verdict && this._namespaceHolds(entry.name) > 1) {
+      verdict = cannotEdit(entry.name, duplicateWhy(entry.name));
+    }
+    if (!verdict && key === 'Add') {
+      const array = [node, node.parent].find((n) => isStruct(n) && n._dims.reduce((a, b) => a * b, 1) !== 1) as MatlabVariableNode | undefined;
+      if (array) {
+        return cannotEdit(
+          entry.name,
+          array.matlabPath + ' is a ' + array._dims.join('x') + ' struct, whose fields a save writes into every element of it or none, '
+            + 'and Add gives one struct a field of its own',
+        );
+      }
+    }
+    return verdict;
+  }
+
+  /**
+   * Why `value`, a node built of the text an edit typed in for `node`, of `entry`, cannot be
+   * written into this file, or null where it can: a string, which MatWriter has no MAT class
+   * for. Asked of the edit before it is made (MatlabVariableNode.setProperty), so that a value
+   * that would leave the variable one a save refuses (freshRefusal) is never taken.
+   */
+  _valueRefusal(entry: BaseNode, node: BaseNode, value: BaseNode): string | null {
+    const unwritable = unwritableIn(value);
+    if (!unwritable) {
+      return null;
+    }
+    const is = unwritable.path === value.matlabPath ? ' would be ' : ' would hold ';
+    return cannotEdit(entry.name, (node.matlabPath || entry.name) + is + unwritable.what + ', which this package cannot write into a MAT-file');
+  }
+
+  /**
+   * Why `node`, a variable of this file, cannot be renamed, or null where it can: its record is not
+   * one whole element whose name a save can replace (MatFileWriter.renameWhy), which only a damaged
+   * file holds. Asked by the rename itself (DataNode.setProperty) and not by the editability
+   * getters, as finding out inflates the record: a rename refused so is refused before it is made.
+   */
+  _renameRefusal(node: BaseNode): string | null {
+    const record = this.recordOf(node);
+    const why = record ? renameWhy(record) : null;
+    return why ? cannotEdit(node.name, why) : null;
+  }
+
+  /** Why no edit of this file is taken, or null (unsavableRefusal, structureRefusal). */
+  _fileRefusal(): string | null {
+    // A host that hands the bytes away empties every view of them at once, the header's
+    // first, so a verdict of none is asked again only once that happened.
+    const gone = this.headerBytes !== null && this.headerBytes.byteLength !== 128;
+    if (this._fileVerdict === undefined || (gone && this._fileVerdict === null)) {
+      const refused = unsavableRefusal(this) ?? structureRefusal(this, this.records!, this._subsystemRecord());
+      this._fileVerdict = refused ? editRefusalOf(refused) : null;
+    }
+    return this._fileVerdict;
+  }
+
+  /** The subsystem's record (MatFileWriter.subsystemOf), found once: the records never change. */
+  _subsystemRecord(): MatRecord | null {
+    if (this._subsystem === undefined) {
+      this._subsystem = this.records ? subsystemOf(this, this.records) : null;
+    }
+    return this._subsystem;
+  }
+
+  /**
+   * How many variables of the file a save writes under `name`: the variables in the tree, and
+   * each record that became none (one the reader dropped) under its own name, as a save writes
+   * it (MatFileWriter.refuseDuplicates). A rename into a name another holds is refused for it
+   * (DataNode.setProperty), naming this file (_namespaceLabel).
+   *
+   * Counted when first asked, and moved with every variable added, removed or renamed after
+   * (_entriesMoved), so that a rename costs a lookup and not a count of every name: as a
+   * dictionary's are (SectionNode._namespaceHolds, F1-23).
+   *
+   * A record the reader dropped without a name, one that does not inflate or holds no matrix,
+   * is counted under none: what it would be called is not known, so an added or renamed
+   * variable is not held to it (MatFileWriter.refuseDuplicates, likewise). Every such record
+   * already breaks a rule MATLAB loads a file by (MatFileCheck: `compressed-wrapper`,
+   * `top-level-type`), and for all of them but one past the inflate ceiling that is a rule
+   * MATLAB fails the whole load on: no variable of the file is loaded beside it, whatever its name.
+   */
+  _namespaceHolds(name: string): number {
+    if (!this._nameCounts || this._countedAt !== this._entriesVersion) {
+      const counts = new Map<string, number>();
+      const add = (n: string) => counts.set(n, (counts.get(n) ?? 0) + 1);
+      for (const child of this.children) {
+        add(child.name);
+      }
+      for (const record of this.records ?? []) {
+        if (record.name && !this.nodeOf(record)) {
+          add(record.name);
+        }
+      }
+      this._nameCounts = counts;
+      this._countedAt = this._entriesVersion;
+    }
+    return this._nameCounts.get(name) ?? 0;
+  }
+
+  /** Where a rename into a name already held is said to collide (DataNode.setProperty): this file. */
+  get _namespaceLabel(): string {
+    return basenameOf(this.name) || this.name;
   }
 
   // The format an out-of-process host is told this source is, since SourceDTO carries
@@ -67,7 +371,18 @@ export default class MatNode extends ContainerNode {
     return null;
   }
 
-  execAddEntry(_className?: string, entryName?: string): { node: BaseNode; undo: () => void; redo: () => void } {
+  // A new variable is the double 0, named `entryName`, or `var` with a counter appended if that
+  // is taken. The only class it takes is a plain variable's: a save writes no object (freshRefusal).
+  // Null, adding nothing, for a file no save of which can be written (_fileRefusal), for any other
+  // class, and for a name that is no MATLAB name or one the file holds already, by the rule a rename
+  // is held to: a save would refuse each.
+  execAddEntry(className?: string, entryName?: string): { node: BaseNode; undo: () => void; redo: () => void } | null {
+    if (this._fileRefusal() || (className && !PLAIN_VARIABLE_CLASSES.has(className))) {
+      return null;
+    }
+    if (entryName && (validateMatlabName(entryName) || this._namespaceHolds(entryName) > 0)) {
+      return null;
+    }
     const name = entryName || this._uniqueName('var');
     const node = MatlabVariableNode.createDefault(name, this);
     this.addChild(node);
@@ -85,21 +400,23 @@ export default class MatNode extends ContainerNode {
     };
   }
 
+  // Not a name any variable of the file holds, a record the reader dropped included (_namespaceHolds).
   _uniqueName(baseName: string): string {
-    const names = new Set(this.children.map((c) => c.name));
-    if (!names.has(baseName)) {
+    if (this._namespaceHolds(baseName) === 0) {
       return baseName;
     }
     let i = 1;
-    while (names.has(baseName + i)) {
+    while (this._namespaceHolds(baseName + i) > 0) {
       i++;
     }
     return baseName + i;
   }
 
+  // A delete is written by any save, of any variable, one stored after the subsystem and an object
+  // included; refused only in a file no save of which can be written (_fileRefusal).
   execRemoveEntry(node: BaseNode): { undo: () => void; redo: () => void } | null {
     const index = this.children.indexOf(node);
-    if (index < 0) {
+    if (index < 0 || this._fileRefusal()) {
       return null;
     }
     this.removeChild(node);
@@ -146,13 +463,15 @@ export default class MatNode extends ContainerNode {
   // containers have no rows and names the first ('part-not-expanded'). A parse handed over with
   // no warnings array (an older host's) is given one for it, which is the array addMatSource
   // and addMatSourceParsed pass on: both read it after this returns.
-  static fromParsed(
-    parsed: { header: string; variables: MatVariable[]; warnings?: ParseWarning[] },
-    filename: string,
-    options: { nodeCeiling?: number } = {},
-  ): MatNode {
+  //
+  // Each node built of a record is bound to it (recordOf, nodeOf), whatever node it is: a
+  // plain variable, an MCOS object's typed node, a function handle, one shown as not
+  // decoded. A parse with no records, or whose records do not cover its variables one for
+  // one, binds none and keeps none (`records` null).
+  static fromParsed(parsed: MatParse, filename: string, options: { nodeCeiling?: number } = {}): MatNode {
     const node = new MatNode(filename);
     node.header = parsed.header;
+    const records = heldRecords(parsed);
 
     // A .mat file keeps the MCOS blob in an anonymous trailing element. Every opaque in
     // the file, nested or not, comes back carrying its own decode, and what the decoder
@@ -161,29 +480,61 @@ export default class MatNode extends ContainerNode {
     attachMcosDecoded(anonElement?._rawBytes, parsed.variables, parsed.warnings);
 
     const ceiling = options.nodeCeiling ?? MAT_NODE_CEILING;
-    const { cut, firstCut } = buildUnderCeiling<void, MatlabVariableNode>(ceiling, () => MatNode._addVariables(node, parsed));
+    const recordOf = records ? new Map(records.filter((r) => r.variable).map((r) => [r.variable!, r])) : null;
+    const { cut, firstCut } = buildUnderCeiling<void, MatlabVariableNode>(ceiling, () =>
+      MatNode._addVariables(node, parsed, recordOf),
+    );
     if (cut > 0 && firstCut) {
       const warnings = parsed.warnings ?? (parsed.warnings = []);
       warnings.push(notExpandedWarning(firstCut.matlabPath, cut, ceiling));
     }
+    if (records && bindsEveryRecord(node, records, parsed.variables)) {
+      node.headerBytes = parsed.headerBytes!;
+      node.records = records;
+      node.subsystemOffset = parsed.subsystemOffset ?? 0;
+      node.framed = parsed.framed === true;
+      node.unframed = parsed.unframed ?? null;
+    } else {
+      node._recordNodes.clear();
+      node._nodeRecords.clear();
+    }
     return node;
   }
 
+  _bindRecord(child: BaseNode, record: MatRecord | undefined): void {
+    if (record) {
+      this._recordNodes.set(record, child);
+      this._nodeRecords.set(child, record);
+    }
+  }
+
   // Every variable as a row of `node`, in the file's order, under the ceiling fromParsed arms:
   // all of them counted first, and none refused (matNodeCeiling.chargeNodes), so that the rows
   // under them are what is left, and a tree is never more nodes than the ceiling or the
   // variables, whichever is more.
-  static _addVariables(node: MatNode, parsed: { variables: MatVariable[]; warnings?: ParseWarning[] }): void {
+  //
+  // `recordOf` is each variable's record, by identity (MatRecord.variable), and every node
+  // made of a variable is bound to it here, the one place all four kinds are made.
+  static _addVariables(
+    node: MatNode,
+    parsed: { variables: MatVariable[]; warnings?: ParseWarning[] },
+    recordOf: ReadonlyMap<MatVariable, MatRecord> | null = null,
+  ): void {
     chargeNodes(parsed.variables.filter((v) => !v._anonymous).length);
     for (const variable of parsed.variables) {
       if ((variable as unknown as { _anonymous?: boolean })._anonymous) {
         node._anonymousElements.push(variable);
         continue;
       }
+      const record = recordOf?.get(variable);
+      const add = (child: BaseNode) => {
+        node.addChild(child);
+        node._bindRecord(child, record);
+      };
       if (variable.isOpaque) {
         const mcosNode = buildUncut(() => modelOpaqueMcosVariable(variable, mcosDecodedFor(variable), node, parsed.warnings));
         if (mcosNode) {
-          node.addChild(mcosNode);
+          add(mcosNode);
           continue;
         }
       }
@@ -194,14 +545,61 @@ export default class MatNode extends ContainerNode {
       const handle = functionHandleOf(variable);
       if (handle) {
         const value = handle.text === null ? 'Matrix(' + variable.dimensions.join(',') + ')' : handle.text;
-        node.addChild(MatlabVariableNode.parse({ _type: 'function_handle', _value: value }, variable.name, node));
+        add(MatlabVariableNode.parse({ _type: 'function_handle', _value: value }, variable.name, node));
         continue;
       }
-      node.addChild(variableNodeOf(variable, node, parsed.warnings));
+      add(variableNodeOf(variable, node, parsed.warnings));
     }
   }
 }
 
+// The classes a variable added to a file may be asked for as (execAddEntry): none, the one a
+// dictionary's plain variable is added as, and a double's.
+const PLAIN_VARIABLE_CLASSES = new Set(['MatlabVariable', 'double']);
+
+// A refusal of the writer's, `Cannot save "f.mat": …. Nothing was written.`, as the editor says
+// it of an edit it does not take: `Cannot edit "f.mat": ….`
+function editRefusalOf(e: MatWriteError): string {
+  return e.message.replace(/^Cannot (?:save|write) /, 'Cannot edit ').replace(/ Nothing was written\.$/, '');
+}
+
+function isStruct(node: BaseNode | null): node is MatlabVariableNode {
+  return node instanceof MatlabVariableNode && node._kind === 'scalar' && node._scalarType === 'struct';
+}
+
+function cannotEdit(name: string, why: string): string {
+  return 'Cannot edit "' + name + '": ' + why + '.';
+}
+
+// The records of `parsed` a save can splice, or null: none for a host's parse that carries
+// none, and none for one whose header or records are not byte views as long as they say,
+// which no reader of this package hands over. Views are told by ArrayBuffer.isView, which
+// answers for one made in another realm (a worker's, structured-cloned here) as well.
+function heldRecords(parsed: MatParse): MatRecord[] | null {
+  const { headerBytes, records } = parsed;
+  if (!Array.isArray(records) || !ArrayBuffer.isView(headerBytes) || headerBytes.byteLength !== 128) {
+    return null;
+  }
+  const whole = records.every((r) => r && ArrayBuffer.isView(r.bytes) && r.bytes.byteLength === r.length);
+  return whole ? records : null;
+}
+
+// Whether the tree `node` was built as is bound one for one: every variable the variable of
+// exactly one record, and every node bound to the record of the variable it was made of (an
+// unnamed element is made into no node, and is in `_anonymousElements`). A parse whose
+// records were made apart from its variables, or whose variables a host changed since,
+// binds short, and its records are not this tree's to splice.
+function bindsEveryRecord(node: MatNode, records: MatRecord[], variables: MatVariable[]): boolean {
+  const withVariable = records.filter((r) => r.variable);
+  const ofRecords = new Set(withVariable.map((r) => r.variable));
+  return (
+    ofRecords.size === withVariable.length &&
+    ofRecords.size === variables.length &&
+    variables.every((v) => ofRecords.has(v)) &&
+    node._nodeRecords.size === node.children.length
+  );
+}
+
 // The file's one word about its node ceiling, which is not a loss, as `duplicate-id` is not
 // (ParseWarning): every value in it is read, and copied whole. `part` is the first container
 // built without its rows, in the order the tree is built, and the count is of the others.
diff --git a/src/datamodel/node/data/MatlabVariableNode.ts b/src/datamodel/node/data/MatlabVariableNode.ts
index 3d0b2b93..1f70d33c 100644
--- a/src/datamodel/node/data/MatlabVariableNode.ts
+++ b/src/datamodel/node/data/MatlabVariableNode.ts
@@ -5,6 +5,7 @@ import type { SetPropertyResult, ValueShape } from '../DataNode.js';
 import { matlabVariableKind } from '../../kindMap.js';
 import type { PropClass, MatlabVariableKind } from '../BaseNode.js';
 import type BaseNode from '../BaseNode.js';
+import { encodedHolderOf, sourceEditRefusal } from '../BaseNode.js';
 import { addChildUndoable, removeChildUndoable } from '../childEdit.js';
 import type { ChildAddEdit, ChildUndoRedo } from '../childEdit.js';
 import * as NodeRegistry from '../NodeRegistry.js';
@@ -373,6 +374,13 @@ export default class MatlabVariableNode extends DataNode {
   // subtree rebuilt from that for the asking (_withCeilingTwin). Cleared by a Value typed over it
   // (_applyParsed), which gives it rows of its own. Absent on every other node.
   _cutByCeiling?: number;
+  // The field names of a struct array of NO element, `struct('a', {})`, in the file's order: it
+  // has no element row to hold them, and they are all there is of it. Set by
+  // _createFromMatStruct from the variable read (MatParser keeps them, each with an empty list),
+  // and read by what writes the struct from its rows (_buildVarObject, _serializeStructValue), so
+  // that it is not written as a struct of no field once something under or beside it is edited.
+  // Cleared by a Value typed over it (_applyParsed). Absent on every other node.
+  _emptyStructFields?: string[];
 
   constructor(name: string, parent: BaseNode | null, serial?: Record<string, unknown>) {
     super(name, parent, serial);
@@ -561,14 +569,13 @@ export default class MatlabVariableNode extends DataNode {
   // The Class column says complex and sparse as MATLAB's Workspace browser does,
   // `int16 (complex)`, `double (sparse)` (DisplayConvention.classColumnText): className is
   // MATLAB's class(), which says neither. Complex is what the writers take it for
-  // (_isComplexValue), and for an empty, which has no element to say so, what it was read as
-  // (_elementType): a .mat's complex(zeros(1,0)), or a binary dictionary's IsComplex="1".
+  // (_isComplexValue), an empty's included: what it was read as, a .mat's complex(zeros(1,0)),
+  // or a binary dictionary's IsComplex="1".
   _classColumn(): string {
     if (this._isOpaque) {
       return super._classColumn();
     }
-    const complexEmpty = this._kind === 'array' && this._elementType === 'complex' && this._liveElements().length === 0;
-    return classColumnText(this.className, { complex: this._isComplexValue() || complexEmpty, sparse: !!this._sparse });
+    return classColumnText(this.className, { complex: this._isComplexValue(), sparse: !!this._sparse });
   }
 
   // A primitive variable's data type ('double', 'string', 'cell', …) is a real
@@ -610,7 +617,8 @@ export default class MatlabVariableNode extends DataNode {
   get nameEditable(): boolean {
     // Inside a value still in its encoded stream, the names are part of the stream; the
     // node holding the stream keeps its own (BaseNode.nameEditable says the same).
-    if (this._encodedReadOnly && !this._encoded) {
+    const holder = encodedHolderOf(this);
+    if (holder && holder !== this) {
       return false;
     }
     if (this.parent && this.parent instanceof MatlabVariableNode) {
@@ -620,7 +628,9 @@ export default class MatlabVariableNode extends DataNode {
     if (this.parent?.isObjectPropertyBag) {
       return false;
     }
-    return true;
+    // Nor a name its source would not write: a MAT-file's variable stored after its subsystem
+    // (BaseNode.sourceEditRefusal).
+    return !sourceEditRefusal(this, 'Name');
   }
 
   get valueEditable(): boolean {
@@ -1271,6 +1281,12 @@ export default class MatlabVariableNode extends DataNode {
       if (holderRefusal) {
         return holderRefusal;
       }
+      // And the file it is in may have no way to write what the text makes: a MAT-file holds no
+      // string this package writes (_refuseUnwritableValue).
+      const unwritableRefusal = this._refuseUnwritableValue(parsed, stringValue);
+      if (unwritableRefusal) {
+        return unwritableRefusal;
+      }
       this._applyParsed(parsed);
       this._markModified();
       // _applyParsed rebuilds this node's children from the text, so restating a
@@ -1361,6 +1377,35 @@ export default class MatlabVariableNode extends DataNode {
     };
   }
 
+  /**
+   * The refusal of `parsed`, typed in as this node's value, by a source that could not write
+   * what it makes of it, or null. A MAT-file's save writes no string, and writes a variable
+   * holding one only as it was read (MatNode._valueRefusal, MatFileWriter.freshRefusal), so a
+   * `"abc"` typed in, or a `{1, "abc"}`, would make a variable no save could write: it is refused
+   * here, before the edit, which a source that writes it (a dictionary) never asks.
+   *
+   * Judged of a node made of the text alone (_applyParsed, as the edit applies it), so that a
+   * refused edit leaves this one, its entry and its file as they were.
+   */
+  _refuseUnwritableValue(parsed: ParsedValue, stringValue: string): SetPropertyResult | null {
+    let entry: BaseNode = this;
+    let source: BaseNode | null = this.parent;
+    while (source && !(source as unknown as { isContainer?: boolean }).isContainer) {
+      entry = source;
+      source = source.parent;
+    }
+    const refuse = (source as unknown as { _valueRefusal?: (entry: BaseNode, node: BaseNode, value: BaseNode) => string | null } | null)
+      ?._valueRefusal;
+    if (typeof refuse !== 'function') {
+      return null;
+    }
+    const value = new MatlabVariableNode(this.name, null, {});
+    value._scalarType = this._scalarType;
+    value._applyParsed(parsed);
+    const refused = refuse.call(source, entry, this, value);
+    return refused ? { error: true, reason: refused, invalidValue: stringValue, validValue: this.displayValue } : null;
+  }
+
   /**
    * The refusal of a Value edit by the value this one is part of, or null. Asked of the nearest
    * node above this one that is not a struct, so that a field of a struct, at any depth and in
@@ -1607,7 +1652,7 @@ export default class MatlabVariableNode extends DataNode {
   // every MatlabVariableNode above it, because the save path reads `_var` from the
   // TOP-LEVEL variable: a struct field's edit has to make the STRUCT's snapshot
   // stale, not just the field's own. See the _var getter for why.
-  _markModified(): void {
+  _markModified(edit: 'value' | 'name' = 'value'): void {
     let node: BaseNode | null = this;
     while (node instanceof MatlabVariableNode) {
       node._varStale = true;
@@ -1619,7 +1664,7 @@ export default class MatlabVariableNode extends DataNode {
       }
       node = node.parent;
     }
-    super._markModified();
+    super._markModified(edit);
   }
 
   // Push an edited element's new value into this container's _elements slot.
@@ -1652,6 +1697,8 @@ export default class MatlabVariableNode extends DataNode {
     this._matVar = null;
     // A value typed in whole is built with all its rows, whatever the file's node ceiling did.
     delete this._cutByCeiling;
+    // Nor is it the empty struct array it may have been (_emptyStructFields).
+    delete this._emptyStructFields;
     this._rawInput = undefined;
     // Nor is it what a removal left of a complex array any more (_complexClass).
     this._collapsedClass = null;
@@ -1918,9 +1965,11 @@ export default class MatlabVariableNode extends DataNode {
       return false;
     }
     // Nor where what holds the value refuses the one Add would leave: in a Simulink.Parameter's
-    // Value, MATLAB's rules for it (DataNode._structuralRefusal, the ruling A2).
+    // Value, MATLAB's rules for it (DataNode._structuralRefusal, the ruling A2). Nor where the
+    // file it is in would not write the row as it shows: a MAT-file's struct array
+    // (BaseNode.sourceEditRefusal, MatNode._editRefusal).
     if (this._kind === 'scalar' && this._scalarType === 'struct') {
-      return !this._structuralRefusal('add');
+      return !this._structuralRefusal('add') && !sourceEditRefusal(this, 'Add');
     }
     if (this._kind === 'scalar') {
       return false;
@@ -1981,7 +2030,8 @@ export default class MatlabVariableNode extends DataNode {
   }
 
   _addStructField(): MatlabVariableNode {
-    const uniqueName = newFieldName(this.children.map((c) => c.name));
+    // Nor the name of a field a struct array of no element has without a row (_emptyStructFields).
+    const uniqueName = newFieldName([...(this._emptyStructFields ?? []), ...this.children.map((c) => c.name)]);
     const child = MatlabVariableNode._createScalar(0, 'double', uniqueName, this);
     this.addChild(child);
     this._markModified();
@@ -2375,6 +2425,12 @@ export default class MatlabVariableNode extends DataNode {
     // (_matStream), naming the entry and the reason, rather than written in the rank-2 form
     // below, which is not a form MATLAB writes there for it. Elsewhere it falls through as
     // before: a binary dictionary's XML spells it element by element.
+    //
+    // A complex array of no element too (_isComplexValue), whose stream says complex where
+    // `[]` cannot: MATLAB's own text dictionary spells one as the real empty, `[]` or
+    // `{"_type": "int16", "_value": "[]"}` (dispcat_text.sldd's dx_complex_0x0 and
+    // dx_complex_int16_1x0), so that a copy of one into it, or through it into a binary
+    // dictionary, whose spelling `IsComplex="1"` does say so (_serializeArrayXml), lost it.
     const nd = effectiveDims(this._dims).length > 2;
     if (this._sparse || nd || this._isComplexValue() || this._unexpandedStruct()) {
       const cdata = this._serializeCdata(nd && this._ownerFormat() === 'json');
@@ -2424,6 +2480,14 @@ export default class MatlabVariableNode extends DataNode {
       return false;
     }
     const elems = this._liveElements();
+    // An array of no element has none to say so, and is complex when it was read as one
+    // (_elementType): a .mat's complex(zeros(1,0)), a binary dictionary's IsComplex="1". Asked
+    // of its elements, it was real, and once anything marked it edited it was written so
+    // (_buildVarObject): measured against MATLAB R2027a, a .mat save of complex(zeros(0,0))
+    // loaded with isreal true.
+    if (elems.length === 0) {
+      return this._elementType === 'complex';
+    }
     // ANY element, not the first: the element editor takes only a real number, so after
     // x(1) = 7 the first element is the number 7 and the rest are still complex, and
     // asking the first alone wrote [7+0i NaN+0i 3-4i] out as the real [7 0 3].
@@ -2888,6 +2952,16 @@ export default class MatlabVariableNode extends DataNode {
   // unchanged.
   _serializeStructValue(): unknown {
     const dims = effectiveDims(this._dims);
+    // A struct array of no element, with fields (_emptyStructFields): the bag the binary reader
+    // makes of MATLAB's own spelling of one, `<P Class="struct" Dimension="0*0"><Field Name="a"/>`
+    // (BinarySlddParser.structValue), with no element and its names in `_fields`, which is where
+    // StructNode writes them back from, as those `<Field>`s. Built of its rows like any other, it
+    // named no field: a copy of a .mat's struct('a', {}) went into a binary dictionary as a
+    // struct of none.
+    const named = elementCount(dims) === 0 && this.children.length === 0 ? this._emptyStructFields ?? [] : [];
+    if (named.length > 0) {
+      return { _array_type: 'Struct', _dimensions: dims, _elements: [], _fields: named.slice(), _mw_element_type: 'MATLABArray' };
+    }
     // A .mat struct ARRAY hangs its ELEMENTS off this node (named 1..N, each a
     // struct-kind node whose own children are the fields); a 1x1 hangs the fields
     // directly. StructNode owns neither case on the .mat path, so both are here —
@@ -3200,8 +3274,12 @@ export default class MatlabVariableNode extends DataNode {
       if (type === 'string' && (this._rawInput as Record<string, unknown> | undefined)?._emptyDims && two.length === 2 && elementCount(two) === 0) {
         return DataNode._stringXml(tagName, attrStr, [], two, indent);
       }
+      // A complex empty says so, as MATLAB's own does: `Class="double" IsComplex="1"
+      // Dimension="0*0"/>` and `Class="int16" IsComplex="1" Dimension="1*0"/>` (dispcat_bin.sldd).
+      // Without it, it was read back real.
+      const complex = !this._sparse && this._isComplexValue() ? ' IsComplex="1"' : '';
       return (
-        p + '<' + tagName + attrStr + ' Class="' + escapeXml(type || 'double') + '" Dimension="' + dimAttr + '"/>'
+        p + '<' + tagName + attrStr + ' Class="' + escapeXml(type || 'double') + '"' + complex + ' Dimension="' + dimAttr + '"/>'
       );
     }
 
@@ -3545,6 +3623,14 @@ export default class MatlabVariableNode extends DataNode {
           }));
         }
       } else {
+        // An array of no element is its field names, each with no element, as MatParser reads
+        // one (_emptyStructFields): rebuilt from its rows, of which it has none, it was a
+        // struct of no field.
+        if (elementCount(this._dims) === 0) {
+          for (const fname of this._emptyStructFields ?? []) {
+            setOwn<MatVariable | MatVariable[]>(fields, fname, []);
+          }
+        }
         for (const child of this.children) {
           setOwn<MatVariable | MatVariable[]>(fields, child.name, MatlabVariableNode._memberVar(child));
         }
@@ -3977,6 +4063,12 @@ export default class MatlabVariableNode extends DataNode {
     }
     const fieldNames = Object.keys(variable.fields);
     const count = elementCount(node._dims);
+    // A struct array of no element has no row, and its field names nowhere but here
+    // (_emptyStructFields).
+    if (count === 0) {
+      node._emptyStructFields = fieldNames;
+      return node;
+    }
     if (count <= 1) {
       // Its fields are its rows, all of them or none past a .mat file's node ceiling
       // (matNodeCeiling).
diff --git a/src/datamodel/parser/MatFileCheck.ts b/src/datamodel/parser/MatFileCheck.ts
new file mode 100644
index 00000000..ea807906
--- /dev/null
+++ b/src/datamodel/parser/MatFileCheck.ts
@@ -0,0 +1,1516 @@
+// src/datamodel/parser/MatFileCheck.ts
+// Copyright 2026 The MathWorks, Inc.
+//
+// Whether MATLAB loads a Level-5 MAT-file, judged by the rules MATLAB loads one by, and not by
+// this package's own reader.
+//
+// WHY A SECOND READER. `parseMat` is built to open whatever it can, which is right for a
+// viewer and wrong for a judge. It clamps every declared length to the bytes present, takes a
+// zero tag for the end of the variables, reads char data stored as miUTF32 or miUINT8, and
+// lists a variable stored after the subsystem. MATLAB does none of that. Of the 36 files in the
+// MATLAB-verdict corpus (test/fixtures/mat-check) that MATLAB does not load as stored, because
+// the load fails or a variable comes back missing or changed, `parseMat` opens all 36, and 32
+// of them without a single warning (measured when this was written). So a `.mat` this package
+// writes and then reads back proves only that the package agrees with itself. This module is
+// the other judge: it reads no value, and it lists every place a file breaks a rule MATLAB
+// applies at `load`, as a MatViolation. It shares no reading code with MatParser, so none of
+// the reader's repairs can leak into a verdict.
+//
+// THE RULES. Each was measured against MATLAB R2027a (27.1 prerelease, maca64) with `S =
+// load(f)` on copies of MATLAB-written files edited one byte range at a time
+// (test/fixtures/mat-check/verdicts.json holds the files and MATLAB's verdict on each):
+//
+//   * the header: bytes 124-125 are the version 0x0100 and 126-127 the endian mark 'IM' (0x0000
+//     and 0x0200 fail, and 0x0200 makes MATLAB try HDF5); neither 16-bit half of bytes 0-3 is
+//     zero (a header of NULs fails: MATLAB takes the file for Level 4);
+//   * the records tile the file from byte 128 to its last byte. A plain record is its tag and
+//     its declared bytes, a multiple of 8 (one cut short, or missing its final pad, fails); a
+//     compressed one is its tag and exactly its zlib stream, with no padding after it (zero
+//     padding to 8 fails), and nothing follows the last record (3, 8 or 100 zero bytes fail);
+//   * a record is an miMATRIX, or an miCOMPRESSED whose RFC 1950 zlib stream inflates to one
+//     miMATRIX and nothing else (zlib levels 0, 1, 6 and 9 all load);
+//   * header bytes 116-123 are the offset of the subsystem's record (the objects' data), or 0
+//     when there is none. MATLAB trusts the offset and never looks for the record: a stale,
+//     zeroed or space-filled one fails the whole load;
+//   * the subsystem is the last record and the only unnamed one. MATLAB stops listing variables
+//     at the first unnamed record, so a variable after it is silently missing from the load
+//     (the load succeeds, and `whos -file` still lists it);
+//   * a variable's name is a MATLAB identifier in valid UTF-8: '1abc' and 'café' fail `S =
+//     load(f)`, 'end' loads as 'end_', and a name that is not UTF-8 crashed MATLAB;
+//   * char data is miUTF8 holding as many UTF-16 units as the array's elements, or miUTF16, or
+//     miUINT16 below U+0100: miUTF32, miUINT8 and miINT8 fail, a surrogate in miUINT16 fails,
+//     and CJK in miUINT16 loads keeping only the low byte of each unit, with no warning;
+//   * every element is readable: one bad variable fails the whole-file load.
+//
+// Some rules were not probed, deliberately: what MATLAB writes is plain, and a file that breaks
+// it is one no MATLAB was seen to write. Only a double is ever stored in a narrower type than
+// its class (every other numeric class is stored in its own), every sub-element fills its
+// matrix exactly, and every data sub-element holds as many elements as its dimensions say.
+// They are checked as MATLAB writes them (`int-storage`, `nbytes`, `data-size`, `element`).
+//
+// WHERE IT IS STRICTER THAN MATLAB, on purpose, so the save path never writes a file that
+// loads only by luck. Each is listed with its reason in test/matFileCheck.test.ts: a name
+// stored twice (it loads, but `load f` keeps the last copy and `load f x` the first); bytes
+// after the subsystem's record, which MATLAB's load never reads; a zlib stream whose Adler-32
+// trailer is not the record's last four bytes.
+//
+// WHAT IT IS FOR. The `.mat` save checks the file it writes, and refuses to return it if it has
+// a violation the original did not. A violation is therefore said with the variable it is in,
+// when that has a readable name, so two files can be compared by variable rather than by an
+// offset an edit moved (violationsAdded). And since what a record breaks is a function of its
+// own bytes, the save asks it only where it changed the file, with the same answer
+// (violationsAddedBySplice).
+//
+// BOUNDED. A file's bytes say how much work reading them is, and a hostile one can say a lot:
+// a few kilobytes of zlib inflate to gigabytes, and a cell can declare a billion elements. So
+// the check spends a budget of inflated bytes and of matrices walked (MatCheckOptions), and
+// stops when either runs out, with a `budget` note saying where. It never throws: whatever the
+// bytes, the answer is a list.
+
+import { InflateCeilingError, inflateZlib, MAT_RECORD_INFLATE_CEILING } from './Inflate.js';
+import { MAX_NESTING } from './MatParser.js';
+import { reasonOf } from './ParseWarning.js';
+
+/**
+ * What a MatViolation is about. Each is one rule MATLAB applies at `load`:
+ *
+ * - `short-file`: fewer than the 128 bytes of a header;
+ * - `not-level5`: the version (bytes 124-125) or the endian mark (126-127) is not a Level-5
+ *   file's, or the two disagree;
+ * - `level4-lookalike`: a 16-bit half of bytes 0-3 is zero, so MATLAB reads the file as Level 4;
+ * - `big-endian`: an 'MI' file, noted and not checked further (this package does not read one);
+ * - `framing`: the records do not tile the file from byte 128 to its end: one is cut short, one
+ *   is not a whole number of 8-byte words, or bytes follow or pad them;
+ * - `top-level-type`: a record that is neither miMATRIX nor miCOMPRESSED;
+ * - `empty-matrix`: a record holding an miMATRIX of 0 bytes;
+ * - `compressed-wrapper`: a compressed record that is not one zlib stream of one miMATRIX;
+ * - `subsystem-offset`: header bytes 116-123 do not point at the subsystem's record, or are 0
+ *   with a subsystem in the file;
+ * - `subsystem-not-last`: a record after the subsystem, which MATLAB silently leaves out;
+ * - `anonymous-record`: an unnamed record that is not the subsystem, where MATLAB stops listing;
+ * - `name`: a variable name that is not valid UTF-8, not an identifier, or a keyword (an empty
+ *   one is an `anonymous-record`);
+ * - `duplicate-name`: two records of one name;
+ * - `char-type`: char data in a type MATLAB does not read as text, or reads wrong;
+ * - `utf8-count`: miUTF8 char data whose UTF-16 length is not the array's element count;
+ * - `nbytes`: a matrix its sub-elements do not fill exactly;
+ * - `int-storage`: a numeric array of a class other than double, stored in a type other than
+ *   its class's own;
+ * - `element`: a sub-element MATLAB cannot read where it stands: array flags, dimensions or a
+ *   name of the wrong type, an unknown class or data type, a small tag of more than 4 bytes, a
+ *   container member that is not a matrix;
+ * - `data-size`: a data sub-element holding more or fewer elements than the dimensions say;
+ * - `budget`: the check stopped here, and nothing from here on was checked.
+ */
+export type MatViolationCode =
+  | 'short-file'
+  | 'not-level5'
+  | 'level4-lookalike'
+  | 'big-endian'
+  | 'framing'
+  | 'top-level-type'
+  | 'empty-matrix'
+  | 'compressed-wrapper'
+  | 'subsystem-offset'
+  | 'subsystem-not-last'
+  | 'anonymous-record'
+  | 'name'
+  | 'duplicate-name'
+  | 'char-type'
+  | 'utf8-count'
+  | 'nbytes'
+  | 'int-storage'
+  | 'element'
+  | 'data-size'
+  | 'budget';
+
+/** One rule a MAT-file breaks, and where. */
+export interface MatViolation {
+  code: MatViolationCode;
+  /**
+   * The byte of the file it is at. Inside a compressed record that is the record's own tag,
+   * since the bytes at fault exist only inflated; the message gives their place in the
+   * inflated payload. For a header field (`subsystem-offset`) it is the field.
+   */
+  at: number;
+  /** What is wrong, and what MATLAB does with it, in a sentence a user can be shown. */
+  message: string;
+  /** The variable it is in, when its record has a name that could be read. */
+  variable?: string;
+}
+
+/** How much one check may spend. Past either budget it stops with a `budget` note. */
+export interface MatCheckOptions {
+  /** Matrices walked, top-level and nested together. Defaults to MAT_CHECK_ELEMENT_BUDGET. */
+  maxElements?: number;
+  /** Bytes inflated from compressed records, over the whole file. Defaults to MAT_CHECK_INFLATE_BUDGET. */
+  maxInflatedBytes?: number;
+}
+
+/**
+ * How many matrices one check walks, at most: 2^24. A matrix costs the check a few tag reads,
+ * and 2^24 of them is a struct array of 1.6 million elements and ten fields each.
+ */
+export const MAT_CHECK_ELEMENT_BUDGET = 2 ** 24;
+
+/**
+ * How many bytes one check inflates, at most, over every compressed record of the file: 1 GiB.
+ * The check inflates one record at a time and drops it, so this bounds time more than memory;
+ * the largest record in the corpus `parseMat` is measured against inflates to 114 MB.
+ */
+export const MAT_CHECK_INFLATE_BUDGET = 2 ** 30;
+
+const MI_INT8 = 1;
+const MI_UINT8 = 2;
+const MI_INT16 = 3;
+const MI_UINT16 = 4;
+const MI_INT32 = 5;
+const MI_UINT32 = 6;
+const MI_SINGLE = 7;
+const MI_DOUBLE = 9;
+const MI_INT64 = 12;
+const MI_UINT64 = 13;
+const MI_MATRIX = 14;
+const MI_COMPRESSED = 15;
+const MI_UTF8 = 16;
+const MI_UTF16 = 17;
+
+const TYPE_NAMES: Record<number, string> = {
+  [MI_INT8]: 'miINT8', [MI_UINT8]: 'miUINT8', [MI_INT16]: 'miINT16', [MI_UINT16]: 'miUINT16',
+  [MI_INT32]: 'miINT32', [MI_UINT32]: 'miUINT32', [MI_SINGLE]: 'miSINGLE', [MI_DOUBLE]: 'miDOUBLE',
+  [MI_INT64]: 'miINT64', [MI_UINT64]: 'miUINT64', [MI_MATRIX]: 'miMATRIX', [MI_COMPRESSED]: 'miCOMPRESSED',
+  [MI_UTF8]: 'miUTF8', [MI_UTF16]: 'miUTF16', 18: 'miUTF32',
+};
+
+/** The bytes one element of each numeric data type takes. */
+const WIDTH: Record<number, number> = {
+  [MI_INT8]: 1, [MI_UINT8]: 1, [MI_INT16]: 2, [MI_UINT16]: 2, [MI_INT32]: 4, [MI_UINT32]: 4,
+  [MI_SINGLE]: 4, [MI_DOUBLE]: 8, [MI_INT64]: 8, [MI_UINT64]: 8,
+};
+
+const MX_CELL = 1;
+const MX_STRUCT = 2;
+const MX_OBJECT = 3;
+const MX_CHAR = 4;
+const MX_SPARSE = 5;
+const MX_DOUBLE = 6;
+const MX_SINGLE = 7;
+const MX_UINT8 = 9;
+const MX_FUNCTION = 16;
+const MX_OPAQUE = 17;
+
+const CLASS_NAMES: Record<number, string> = {
+  1: 'cell', 2: 'struct', 3: 'object', 4: 'char', 5: 'sparse', 6: 'double', 7: 'single',
+  8: 'int8', 9: 'uint8', 10: 'int16', 11: 'uint16', 12: 'int32', 13: 'uint32', 14: 'int64',
+  15: 'uint64', 16: 'function_handle', 17: 'opaque',
+};
+
+/** The one data type each numeric class but double is stored in. */
+const OWN_TYPE: Record<number, number> = {
+  7: MI_SINGLE, 8: MI_INT8, 9: MI_UINT8, 10: MI_INT16, 11: MI_UINT16, 12: MI_INT32,
+  13: MI_UINT32, 14: MI_INT64, 15: MI_UINT64,
+};
+
+// The array flags' bits above the class byte.
+const LOGICAL_BIT = 0x200;
+const COMPLEX_BIT = 0x800;
+const SPARSE_BIT = 0x1000;
+
+// MATLAB's keywords (iskeyword), which a variable name may not be: the same list
+// datamodel/matlabName.ts holds, restated because this folder imports nothing from there.
+const KEYWORDS = new Set([
+  'break', 'case', 'catch', 'classdef', 'continue', 'else', 'elseif', 'end', 'for', 'function',
+  'global', 'if', 'otherwise', 'parfor', 'persistent', 'return', 'spmd', 'switch', 'try', 'while',
+]);
+
+const IDENTIFIER = /^[A-Za-z][A-Za-z0-9_]*$/;
+
+// Fatal, so bytes that are not UTF-8 are said to be, and keeping a BOM, so a name or a text
+// that opens with one is not read as one without it.
+const strictUtf8 = new TextDecoder('utf-8', { fatal: true, ignoreBOM: true });
+const looseUtf8 = new TextDecoder('utf-8', { ignoreBOM: true });
+
+// The MAT stream a subsystem's uint8 data opens with: the version 0x0100 and 'IM'.
+const STREAM_MAGIC = [0x00, 0x01, 0x49, 0x4d];
+
+/** Thrown inside a check when a budget runs out, and turned into its `budget` note. */
+class OutOfBudget extends Error {
+  constructor(readonly at: number, message: string) {
+    super(message);
+    this.name = 'OutOfBudget';
+  }
+}
+
+/**
+ * The bytes a matrix is read out of: a plain record's own (recordSpace), or a compressed
+ * record's payload, inflated. `fileAt` is the file offset a violation at `o` is reported at,
+ * and `where` says where `o` is, in words.
+ */
+interface Space {
+  view: DataView;
+  fileAt(o: number): number;
+  where(o: number): string;
+}
+
+/** One top-level record's bytes, from its tag, as the record at byte `at` of its file. */
+function recordSpace(view: DataView, at: number): Space {
+  return { view, fileAt: (o) => at + o, where: (o) => `Byte ${at + o}` };
+}
+
+function payloadSpace(view: DataView, record: number): Space {
+  return {
+    view,
+    fileAt: () => record,
+    where: (o) => `Byte ${o} of the compressed record at byte ${record}, inflated,`,
+  };
+}
+
+/** What the placement rules need of one top-level record. */
+interface RecordInfo {
+  at: number;
+  /** Its variable's name; '' for an unnamed one, null when the name could not be read. */
+  name: string | null;
+  /** It is unnamed and holds subsystem data: uint8 bytes that open as a MAT stream. */
+  subsystem: boolean;
+}
+
+/** A sub-element's tag, in either of the format's two spellings. */
+interface Tag {
+  type: number;
+  /** The payload bytes it declares. */
+  n: number;
+  /** Where its payload starts. */
+  data: number;
+  /** Where the next sub-element starts: past the payload and its pad to 8 bytes. */
+  next: number;
+}
+
+/** What `readHeader` reads of a matrix: everything before its class's own sub-elements. */
+interface MatrixHead {
+  cls: number;
+  flags: number;
+  dims: number[];
+  numel: number;
+  name: Uint8Array;
+  /** Where the class's own sub-elements start. */
+  p: number;
+}
+
+class Check {
+  readonly out: MatViolation[] = [];
+  readonly maxElements: number;
+  readonly maxInflated: number;
+  elementsLeft: number;
+  inflateLeft: number;
+  /** The record being checked, for a `budget` note on a throw nobody expected. */
+  cursor = 128;
+  /** The variable whose record is being checked, once its name is read. */
+  variable: string | undefined;
+  /** Whether the walk is inside the subsystem's stream, which belongs to no variable. */
+  inSubsystem = false;
+  /**
+   * Whether only what the placement rules need of a record is read (its name, and whether it
+   * holds the subsystem), and nothing past it: what a record kept as its own bytes is asked
+   * in a splice (violationsAddedBySplice), whose violations are the file's as read already.
+   */
+  headOnly = false;
+
+  constructor(options: MatCheckOptions) {
+    this.maxElements = options.maxElements ?? MAT_CHECK_ELEMENT_BUDGET;
+    this.maxInflated = options.maxInflatedBytes ?? MAT_CHECK_INFLATE_BUDGET;
+    this.elementsLeft = this.maxElements;
+    this.inflateLeft = this.maxInflated;
+  }
+
+  /** A violation of the file as a whole, or of one record seen from outside it. */
+  file(code: MatViolationCode, at: number, message: string, variable?: string): void {
+    const v: MatViolation = { code, at, message };
+    if (variable) v.variable = variable;
+    this.out.push(v);
+  }
+
+  /** A violation inside a matrix, said with where it is and whose it is. */
+  report(code: MatViolationCode, space: Space, o: number, text: string): void {
+    const whose = this.inSubsystem
+      ? ' (in the subsystem, the data of the objects in the file)'
+      : this.variable ? ` (in "${this.variable}")` : '';
+    const v: MatViolation = { code, at: space.fileAt(o), message: `${space.where(o)}${whose}: ${text}.` };
+    if (this.variable && !this.inSubsystem) v.variable = this.variable;
+    this.out.push(v);
+  }
+
+  /** One more matrix walked, or the end of the check. */
+  spend(space: Space, o: number): void {
+    if (--this.elementsLeft < 0) {
+      throw new OutOfBudget(space.fileAt(o), `more than the ${this.maxElements} matrices one check walks`);
+    }
+  }
+}
+
+/**
+ * Check a Level-5 MAT-file against the rules MATLAB loads one by (see the top of this file),
+ * and list every place it breaks one, in file order. An empty list means MATLAB loads the
+ * file, every variable in it, as stored. Pure and synchronous, and it never throws: bytes that
+ * are not a MAT-file at all are a violation too.
+ */
+export function checkMatFile(bytes: Uint8Array, options: MatCheckOptions = {}): MatViolation[] {
+  const check = new Check(options);
+  try {
+    checkFile(check, bytes);
+  } catch (err) {
+    // A budget run out, or, if this module has a defect, any other throw: either way the
+    // check did not finish, and that is said rather than thrown, at the record it was in.
+    check.file('budget', ...stoppedAt(err, check.cursor));
+  }
+  // Stable, so the violations of one place keep the order they were found in.
+  return check.out.sort((a, b) => a.at - b.at);
+}
+
+/**
+ * What one variable's miMATRIX element (its tag and body, as a record holds it inflated) breaks
+ * of the rules MATLAB reads a matrix by, at any depth: its char data, its storage, how its
+ * sub-elements fill it, its name. Not the rules of a file (its header, framing, compression,
+ * placement), which only a whole file has: those are checkMatFile's. Every `at` is 0, the
+ * element's own start, and each message says where in the element. Asked of a variable as it was
+ * read, whose element is in memory already, so nothing is inflated; and like checkMatFile it never
+ * throws, and stops at its budget with a `budget` note.
+ */
+export function checkMatElement(element: Uint8Array, options: MatCheckOptions = {}): MatViolation[] {
+  const check = new Check(options);
+  const view = new DataView(element.buffer, element.byteOffset, element.byteLength);
+  const space: Space = { view, fileAt: () => 0, where: (o) => `Byte ${o} of its element` };
+  try {
+    if (element.byteLength < 8) {
+      check.file('element', 0, `The element holds ${element.byteLength} byte(s), fewer than one element's tag.`);
+    } else if (view.getUint32(0, true) !== MI_MATRIX) {
+      check.file('element', 0, `The element is a data element of ${typeName(view.getUint32(0, true))}, not a matrix.`);
+    } else {
+      topMatrix(check, space, 0, 8, Math.min(8 + view.getUint32(4, true), element.byteLength));
+    }
+  } catch (err) {
+    const why = err instanceof OutOfBudget ? err.message : `an error in the check itself (${reasonOf(err)})`;
+    check.file('budget', 0, `The check of the element stopped at ${why}, so nothing from there on was checked.`, check.variable);
+  }
+  return check.out;
+}
+
+/**
+ * The violations of `after` that `before` does not have: what a rewrite of a file added to it.
+ *
+ * Matched by code and variable, never by offset or message, which an edit anywhere before a
+ * record moves; and counted, so a third violation of one kind in one variable is added where
+ * the original had two. `renamed` maps a variable's name in `after` to its name in `before`.
+ * A `budget` note in `after` is always added: a check that did not finish proves nothing about
+ * what it did not reach, whatever the original's check reached.
+ */
+export function violationsAdded(
+  before: readonly MatViolation[],
+  after: readonly MatViolation[],
+  renamed: ReadonlyMap<string, string> = new Map(),
+): MatViolation[] {
+  const key = (code: MatViolationCode, variable: string | undefined) => `${code}\u0000${variable ?? ''}`;
+  const held = new Map<string, number>();
+  for (const v of before) {
+    const k = key(v.code, v.variable);
+    held.set(k, (held.get(k) ?? 0) + 1);
+  }
+  const added: MatViolation[] = [];
+  for (const v of after) {
+    const k = key(v.code, v.variable === undefined ? undefined : renamed.get(v.variable) ?? v.variable);
+    const left = held.get(k) ?? 0;
+    if (v.code === 'budget' || left === 0) {
+      added.push(v);
+    } else {
+      held.set(k, left - 1);
+    }
+  }
+  return added;
+}
+
+/** A record of a file as read, for violationsAddedBySplice: its bytes, from its tag. */
+export interface MatReadRecord {
+  bytes: Uint8Array;
+  /**
+   * Its payload as `inflateZlib` inflated it, for a compressed record whose inflate the caller
+   * holds already (MatParser keeps it, MatVariable._rawBytes), so that it is not inflated again.
+   */
+  inflated?: Uint8Array | null;
+}
+
+/**
+ * A record of a file written from another (violationsAddedBySplice): a record of that file kept
+ * as its own bytes (`kept`, its index), or bytes written in place of one of its records
+ * (`replaces`, its index: a variable renamed or written fresh, and the subsystem, when a save
+ * writes it anew) or of none (`replaces` null: a variable added).
+ */
+export type MatSplicedRecord = { kept: number } | { written: Uint8Array; replaces: number | null };
+
+/** A Level-5 file as its 128-byte header and its records, back to back from byte 128. */
+export interface MatFileOfRecords<R> {
+  header: Uint8Array;
+  records: readonly R[];
+}
+
+/**
+ * What `written` adds to `read` by the rules MATLAB loads a file by, as
+ * `violationsAdded(checkMatFile(read), checkMatFile(written), renamed)` says it, where `written`
+ * is `read` with some of its records kept as their own bytes, the others deleted or written anew,
+ * and records added: worked out from what changed, rather than by checking both files whole.
+ *
+ * WHY IT IS THE SAME ANSWER. What a record breaks depends on its bytes alone (checkRecord, which
+ * checkMatFile walks every record with: `at` only places what is said). So a record kept as its
+ * own bytes breaks in `written` what it broke in `read`, under the same variable, and the two
+ * cancel, by rule and variable, as violationsAdded counts them. What is left to compare is the
+ * records written, the records they replace, the header, and the rules of where records stand
+ * (checkPlacement), which are asked of both files whole, from each record's name and whether it
+ * holds the subsystem: of a kept record, read without walking the rest of it (Check.headOnly).
+ * That holds where three things do, and where one does not both files are checked whole:
+ *
+ *   - both files walk as their records are given: every record's tag declares exactly the bytes
+ *     it is given, and opens with a nonzero byte, which the tag of a type that is a multiple of
+ *     256 does not, and which the walk then takes for padding;
+ *   - no record of `read` is kept twice, or kept and replaced;
+ *   - no kept record holds a name `renamed` maps, which violationsAdded would compare its
+ *     violations under the other name of.
+ *
+ * A record deleted is one more in `read` than in `written`, which can only take from what is
+ * added: it is checked only when something is.
+ *
+ * THE BUDGET (MatCheckOptions) is spent on what is checked, the records written and the ones
+ * they replace, and not on the records kept, which are not walked: so a file past it is still
+ * checked where it changed, where checkMatFile of it would stop. A `budget` note on the written
+ * side is added, as violationsAdded adds every one; one on the read side only leaves less for a
+ * written record's violations to be matched with. A kept record whose name cannot be read within
+ * the budget is a `budget` note on the written side: where it stands cannot be judged.
+ */
+export function violationsAddedBySplice(
+  read: MatFileOfRecords<MatReadRecord>,
+  written: MatFileOfRecords<MatSplicedRecord>,
+  renamed: ReadonlyMap<string, string> = new Map(),
+  options: MatCheckOptions = {},
+): MatViolation[] {
+  const readBytes = read.records.map((r) => r.bytes);
+  const writtenBytes = written.records.map((r) => {
+    if ('kept' in r && !read.records[r.kept]) {
+      throw new RangeError(`A record kept as record ${r.kept} of a file of ${read.records.length}.`);
+    }
+    return 'kept' in r ? read.records[r.kept].bytes : r.written;
+  });
+  const whole = () => violationsAdded(
+    checkMatFile(joined(read.header, readBytes), options),
+    checkMatFile(joined(written.header, writtenBytes), options),
+    renamed,
+  );
+  const taken = new Set<number>();
+  for (const r of written.records) {
+    const from = 'kept' in r ? r.kept : r.replaces;
+    if (from !== null) {
+      if (taken.has(from)) {
+        return whole();
+      }
+      taken.add(from);
+    }
+  }
+  if (read.header.byteLength !== 128 || written.header.byteLength !== 128 || ![...readBytes, ...writtenBytes].every(walksAsGiven)) {
+    return whole();
+  }
+  const readHeader = headerOf(read.header);
+  const writtenHeader = headerOf(written.header);
+  if (readHeader.walked !== writtenHeader.walked) {
+    return whole();
+  }
+  if (!writtenHeader.walked) {
+    // checkMatFile reads neither file past its header.
+    return violationsAdded(readHeader.violations, writtenHeader.violations, renamed);
+  }
+  const readAt = offsetsOf(readBytes);
+  const writtenAt = offsetsOf(writtenBytes);
+  const heads = read.records.map((r, i) => headOf(r, readAt[i], options));
+  for (const r of written.records) {
+    const head = 'kept' in r ? heads[r.kept] : null;
+    if (head && !(head instanceof OutOfBudget) && head.name && renamed.has(head.name)) {
+      return whole();
+    }
+  }
+
+  // The written side: its header, every record written, and where every record stands.
+  const after = new Check(options);
+  const writtenInfos: (RecordInfo | null)[] = [];
+  let walked = true;
+  try {
+    written.records.forEach((r, i) => {
+      if (!('kept' in r)) {
+        writtenInfos.push(checkRecord(after, r.written, writtenAt[i]));
+        return;
+      }
+      const head = heads[r.kept];
+      if (head instanceof OutOfBudget) {
+        throw new OutOfBudget(writtenAt[i], head.message);
+      }
+      writtenInfos.push(head && { ...head, at: writtenAt[i] });
+    });
+  } catch (err) {
+    walked = false;
+    after.file('budget', ...stoppedAt(err, after.cursor));
+  }
+  if (walked) {
+    checkPlacement(after, writtenInfos.filter((x): x is RecordInfo => x !== null), writtenHeader.offset, endOf(writtenAt, writtenBytes));
+  }
+  const afterAll = [...writtenHeader.violations, ...after.out].sort((a, b) => a.at - b.at);
+
+  // The read side: its header, where every record stood, the records replaced, and the records
+  // deleted only when what is added so far could be matched with one of theirs.
+  const before = new Check(options);
+  const readInfos = heads.map((h, i) => (h instanceof OutOfBudget ? { at: readAt[i], name: null, subsystem: false } : h));
+  checkPlacement(before, readInfos.filter((x): x is RecordInfo => x !== null), readHeader.offset, endOf(readAt, readBytes));
+  const checkRead = (which: number[]): boolean => {
+    try {
+      for (const i of which) {
+        checkRecord(before, read.records[i].bytes, readAt[i], read.records[i].inflated);
+      }
+      return true;
+    } catch (err) {
+      before.file('budget', ...stoppedAt(err, before.cursor));
+      return false;
+    }
+  };
+  const replaced = written.records.flatMap((r) => ('kept' in r || r.replaces === null ? [] : [r.replaces]));
+  const readOn = checkRead(replaced);
+  let added = violationsAdded([...readHeader.violations, ...before.out], afterAll, renamed);
+  const deleted = read.records.map((_, i) => i).filter((i) => !taken.has(i));
+  if (added.some((v) => v.code !== 'budget') && deleted.length > 0 && readOn) {
+    checkRead(deleted);
+    added = violationsAdded([...readHeader.violations, ...before.out], afterAll, renamed);
+  }
+  return added;
+}
+
+// Whether the walk of a file (walkRecords) reads `record` as the record it is given as: its tag
+// declares exactly its bytes, and it does not open with a zero byte, which the walk reads as
+// padding or as the end of the records.
+function walksAsGiven(record: Uint8Array): boolean {
+  return record.byteLength >= 8 && record[0] !== 0
+    && 8 + new DataView(record.buffer, record.byteOffset, 8).getUint32(4, true) === record.byteLength;
+}
+
+// What checkMatFile says of a header, whether it reads on past it, and the subsystem's offset it gives.
+function headerOf(header: Uint8Array): { violations: MatViolation[]; walked: boolean; offset: number } {
+  const check = new Check({});
+  const walked = checkHeader(check, header);
+  const offset = subsystemOffset(new DataView(header.buffer, header.byteOffset, header.byteLength), header);
+  return { violations: check.out, walked, offset };
+}
+
+// What the placement rules need of the record at byte `at`, read as checkRecord reads it but no
+// further (Check.headOnly), or the budget that stopped it. A compressed record whose inflate is
+// held is not inflated again, and spends none of the budget.
+function headOf(record: MatReadRecord, at: number, options: MatCheckOptions): RecordInfo | null | OutOfBudget {
+  const check = new Check(options);
+  check.headOnly = true;
+  if (record.inflated) {
+    check.inflateLeft = MAT_RECORD_INFLATE_CEILING;
+  }
+  try {
+    return checkRecord(check, record.bytes, at, record.inflated);
+  } catch (err) {
+    return err instanceof OutOfBudget ? err : new OutOfBudget(at, `an error in the check itself (${reasonOf(err)})`);
+  }
+}
+
+// The place and the words of the `budget` note of a check stopped by `err` in the record at
+// `cursor`: a budget run out (OutOfBudget, which says where), or a defect of the check's own.
+function stoppedAt(err: unknown, cursor: number): [number, string] {
+  const at = err instanceof OutOfBudget ? err.at : cursor;
+  const why = err instanceof OutOfBudget ? err.message : `an error in the check itself (${reasonOf(err)})`;
+  return [at, `The check stopped at byte ${at}, at ${why}, so nothing from there on was checked.`];
+}
+
+// Where each of `records` starts, back to back after a 128-byte header.
+function offsetsOf(records: readonly Uint8Array[]): number[] {
+  const out: number[] = [];
+  let at = 128;
+  for (const r of records) {
+    out.push(at);
+    at += r.byteLength;
+  }
+  return out;
+}
+
+function endOf(offsets: readonly number[], records: readonly Uint8Array[]): number {
+  return offsets.length === 0 ? 128 : offsets[offsets.length - 1] + records[records.length - 1].byteLength;
+}
+
+function joined(header: Uint8Array, records: readonly Uint8Array[]): Uint8Array {
+  const out = new Uint8Array(header.byteLength + endOf(offsetsOf(records), records) - 128);
+  out.set(header, 0);
+  let at = header.byteLength;
+  for (const r of records) {
+    out.set(r, at);
+    at += r.byteLength;
+  }
+  return out;
+}
+
+function checkFile(check: Check, bytes: Uint8Array): void {
+  if (bytes.byteLength < 128) {
+    check.file('short-file', 0, `The file holds ${bytes.byteLength} bytes, fewer than the 128 of a MAT-file's header.`);
+    return;
+  }
+  if (!checkHeader(check, bytes)) {
+    return;
+  }
+  const view = new DataView(bytes.buffer, bytes.byteOffset, bytes.byteLength);
+  const offset = subsystemOffset(view, bytes);
+  const records = walkRecords(check, view, bytes, offset);
+  checkPlacement(check, records, offset, bytes.byteLength);
+}
+
+/** Whether the rest of the file is a Level-5 one to check, having said what the header breaks. */
+function checkHeader(check: Check, bytes: Uint8Array): boolean {
+  // MATLAB looks at the first four bytes before anything else, and a zero in either 16-bit
+  // half of them makes it read the file as Level 4: a header text that opens with NULs.
+  if ((bytes[0] | bytes[1]) === 0 || (bytes[2] | bytes[3]) === 0) {
+    check.file('level4-lookalike', 0, 'A 16-bit half of the header\'s first four bytes is zero, so MATLAB reads '
+      + 'the file as a Level 4 MAT-file and fails the load. The header text must not open with NUL bytes.');
+  }
+  const mark = String.fromCharCode(bytes[126], bytes[127]);
+  const version = `${hex2(bytes[124])} ${hex2(bytes[125])}`;
+  if (mark === 'MI' && bytes[124] === 0x01 && bytes[125] === 0x00) {
+    check.file('big-endian', 126, 'The file is big-endian (\'MI\'). MATLAB reads one, but this package does not, '
+      + 'so nothing after the header was checked.');
+    return false;
+  }
+  if (mark !== 'IM' && mark !== 'MI') {
+    check.file('not-level5', 126, `Header bytes 126-127 are ${hex2(bytes[126])} ${hex2(bytes[127])}, not the endian mark `
+      + '\'IM\' of a Level-5 MAT-file, so MATLAB does not read it as one.');
+    return false;
+  }
+  if (mark === 'IM' && !(bytes[124] === 0x00 && bytes[125] === 0x01)) {
+    check.file('not-level5', 124, bytes[124] === 0x00 && bytes[125] === 0x02
+      ? 'Header bytes 124-125 are 00 02, the version 0x0200 of a -v7.3 (HDF5) file, which is not a Level-5 MAT-file.'
+      : `Header bytes 124-125 are ${version}, where a Level-5 MAT-file holds the version 0x0100 (bytes 00 01), `
+        + 'so MATLAB fails the load.');
+    return false;
+  }
+  if (mark === 'MI') {
+    check.file('not-level5', 124, `Header bytes 124-125 are ${version}, and a big-endian ('MI') file holds the version `
+      + '0x0100 as bytes 01 00: the version and the endian mark disagree, so MATLAB fails the load.');
+    return false;
+  }
+  return true;
+}
+
+function hex2(b: number): string {
+  return b.toString(16).padStart(2, '0');
+}
+
+/** Header bytes 116-123: the subsystem's offset, where eight spaces mean 0 as zeros do. */
+function subsystemOffset(view: DataView, bytes: Uint8Array): number {
+  if (bytes.subarray(116, 124).every((b) => b === 0x20)) {
+    return 0;
+  }
+  return view.getUint32(120, true) * 2 ** 32 + view.getUint32(116, true);
+}
+
+/**
+ * Every record from byte 128 to the end of the file, each checked, and what the placement
+ * rules need of each. The walk is MATLAB's: a record is its 8-byte tag and the bytes the tag
+ * declares, and the next one starts right after them, whatever the alignment.
+ */
+function walkRecords(check: Check, view: DataView, bytes: Uint8Array, offset: number): RecordInfo[] {
+  const records: RecordInfo[] = [];
+  const length = bytes.byteLength;
+  let at = 128;
+  while (at < length) {
+    check.cursor = at;
+    check.variable = undefined;
+    if (bytes[at] === 0) {
+      // No record tag opens with a zero byte (a record's type is 14 or 15), so this is padding,
+      // or the bytes after the last record, or a tag of type 0. Said once, as what it is.
+      const zeros = zeroRun(bytes, at);
+      const last = records[records.length - 1];
+      if (at + zeros === length && last !== undefined && last.at === offset && last.subsystem) {
+        // Measured: MATLAB loads a file with 8 zero bytes after its subsystem, because its
+        // load stops reading at the subsystem. They are no record all the same, and what
+        // MATLAB's own `save -append`, which reads past the subsystem, makes of them is not
+        // known, so they are said as the bytes that do not frame they are.
+        check.file('framing', at, `The file ends with ${zeros} zero byte(s) after the subsystem's record, which are no `
+          + 'record: MATLAB\'s load does not read past the subsystem, but MATLAB writes nothing after it.');
+        break;
+      }
+      if (at + zeros === length) {
+        const after = last === undefined ? 'its header' : 'its last record';
+        check.file('framing', at, zeros < 8
+          ? `The file ends with ${zeros} zero byte(s) after ${after}, fewer than a record's tag: `
+            + 'MATLAB fails the load. Nothing may follow the last record.'
+          : `The file ends with ${zeros} zero bytes after ${after}, which MATLAB reads as a record of type 0, `
+            + 'and fails the load. Nothing may follow the last record.');
+        break;
+      }
+      if (zeros < 8 && at + zeros + 8 <= length && isRecordType(view.getUint32(at + zeros, true))) {
+        check.file('framing', at, `${zeros} zero byte(s) at byte ${at} pad the record before them: MATLAB reads the `
+          + 'next record right where the last one\'s declared bytes end, and a compressed record is never padded, so '
+          + 'it fails the load.');
+        at += zeros;
+        continue;
+      }
+      const word = at + 4 <= length ? view.getUint32(at, true) : 0;
+      check.file('framing', at, `The bytes at ${at} are no record's tag (they read as ${typeName(word)}): MATLAB `
+        + 'fails the load, and nothing after them was checked.');
+      break;
+    }
+    if (length - at < 8) {
+      check.file('framing', at, `The file ends ${length - at} byte(s) into a record's tag: MATLAB fails the load.`);
+      break;
+    }
+    const n = view.getUint32(at + 4, true);
+    if (at + 8 + n > length) {
+      check.file('framing', at, `The record at byte ${at} declares ${n} bytes, and the file holds ${length - at - 8} `
+        + 'after its tag: it is cut short, and MATLAB fails the load.');
+      break;
+    }
+    const info = checkRecord(check, bytes.subarray(at, at + 8 + n), at);
+    if (info) {
+      records.push(info);
+    }
+    at += 8 + n;
+  }
+  return records;
+}
+
+/**
+ * One top-level record, its tag and the bytes it declares, as the record at byte `at` of its
+ * file: checked, and what the placement rules need of it, or null for a record they do not
+ * see, one that is no matrix. What it breaks depends on its bytes alone: `at` places what is
+ * said, and nothing else of the file is read. `inflated` is a compressed record's payload,
+ * inflated, when the caller holds that already (violationsAddedBySplice).
+ */
+function checkRecord(check: Check, record: Uint8Array, at: number, inflated?: Uint8Array | null): RecordInfo | null {
+  check.cursor = at;
+  check.variable = undefined;
+  const view = new DataView(record.buffer, record.byteOffset, record.byteLength);
+  const type = view.getUint32(0, true);
+  const n = view.getUint32(4, true);
+  if (type === MI_MATRIX) {
+    return plainRecord(check, recordSpace(view, at), at, n);
+  }
+  if (type === MI_COMPRESSED) {
+    return compressedRecord(check, record.subarray(8, 8 + n), at, inflated);
+  }
+  check.file('top-level-type', at, `The record at byte ${at} is a data element of ${typeName(type)}: a variable is `
+    + 'stored as an miMATRIX or an miCOMPRESSED, and MATLAB fails the load on anything else.');
+  return null;
+}
+
+function zeroRun(bytes: Uint8Array, at: number): number {
+  let end = at;
+  while (end < bytes.byteLength && bytes[end] === 0) end++;
+  return end - at;
+}
+
+function isRecordType(word: number): boolean {
+  return word === MI_MATRIX || word === MI_COMPRESSED;
+}
+
+function typeName(type: number): string {
+  return TYPE_NAMES[type] ?? `type ${type}`;
+}
+
+// A plain record, in a space that holds it from its tag (recordSpace).
+function plainRecord(check: Check, space: Space, at: number, n: number): RecordInfo {
+  if (n === 0) {
+    check.file('empty-matrix', at, `The record at byte ${at} is an miMATRIX of 0 bytes: MATLAB fails the load. `
+      + 'Only a matrix inside another may be empty.');
+    return { at, name: null, subsystem: false };
+  }
+  const info = topMatrix(check, space, at, 8, 8 + n);
+  if (n % 8 !== 0) {
+    check.file('framing', at, `The record at byte ${at} declares ${n} bytes, not a whole number of 8-byte words: `
+      + 'a plain record ends padded to 8 bytes, so this one is missing its final pad, and MATLAB fails the load.',
+    info.name || undefined);
+  }
+  return info;
+}
+
+/**
+ * A compressed record: one zlib stream (RFC 1950) that inflates to one miMATRIX and nothing
+ * else, and ends at the record's last byte. Its matrix is then checked in the inflated bytes.
+ *
+ * `given`, when there is one, is what `inflateZlib` made of `payload` for the caller already (MatParser
+ * keeps it, MatVariable._rawBytes), taken for the inflate rather than inflating the payload
+ * again: the same function of the same bytes, so the same bytes, spent from the budget as an
+ * inflate of them is. Nothing else of what the caller read is taken.
+ */
+function compressedRecord(check: Check, payload: Uint8Array, at: number, given?: Uint8Array | null): RecordInfo {
+  const unread: RecordInfo = { at, name: null, subsystem: false };
+  // Said once the record's name is known, if it can be, and ahead of what its matrix breaks.
+  const faults: string[] = [];
+  const fault = (text: string): void => {
+    faults.push(`The compressed record at byte ${at} ${text}.`);
+  };
+  const first = check.out.length;
+  const done = (info: RecordInfo): RecordInfo => {
+    const said = faults.map((message) => {
+      const v: MatViolation = { code: 'compressed-wrapper', at, message };
+      if (info.name) v.variable = info.name;
+      return v;
+    });
+    check.out.splice(first, 0, ...said);
+    return info;
+  };
+  const head = zlibHeaderFault(payload);
+  if (head) {
+    fault(`${head}: MATLAB inflates a record only as a zlib stream, and fails the load`);
+    return done(unread);
+  }
+  const ceiling = Math.min(check.inflateLeft, MAT_RECORD_INFLATE_CEILING);
+  let inflated: Uint8Array;
+  try {
+    if (given && given.byteLength > ceiling) {
+      throw new InflateCeilingError(ceiling);
+    }
+    inflated = given ?? inflateZlib(payload, ceiling);
+  } catch (err) {
+    if (err instanceof InflateCeilingError) {
+      if (ceiling < MAT_RECORD_INFLATE_CEILING) {
+        throw new OutOfBudget(at, `more than the ${check.maxInflated} bytes one check inflates`);
+      }
+      fault(`inflates to more than the ${MAT_RECORD_INFLATE_CEILING} bytes one record of a -v7 file can hold`);
+      return done(unread);
+    }
+    fault(`does not inflate (${reasonOf(err)}): MATLAB fails the load`);
+    return done(unread);
+  }
+  check.inflateLeft -= inflated.byteLength;
+  // The stream ends with the Adler-32 of what it inflates to, so a record whose last four
+  // bytes are that checksum ends where its stream does. Anything else is bytes after the
+  // stream, which MATLAB's record never has, or a checksum that is wrong. Not asked for a
+  // record's name alone (headOnly), which it does not change.
+  const trailer = new DataView(payload.buffer, payload.byteOffset + payload.byteLength - 4, 4).getUint32(0, false);
+  if (!check.headOnly && trailer !== adler32(inflated)) {
+    fault('does not end with its zlib stream\'s checksum: bytes follow the stream inside the record, or the '
+      + 'checksum is wrong. MATLAB writes a record as exactly its stream');
+  }
+  if (inflated.byteLength < 8) {
+    fault(`inflates to ${inflated.byteLength} byte(s), fewer than one element's tag: MATLAB fails the load`);
+    return done(unread);
+  }
+  const view = new DataView(inflated.buffer, inflated.byteOffset, inflated.byteLength);
+  const type = view.getUint32(0, true);
+  const n = view.getUint32(4, true);
+  if (type === MI_COMPRESSED) {
+    fault('inflates to another compressed record: MATLAB never nests one, and fails the load');
+    return done(unread);
+  }
+  if (type !== MI_MATRIX) {
+    fault(`inflates to a data element of ${typeName(type)}, where a record holds a matrix: MATLAB fails the load`);
+    return done(unread);
+  }
+  if (n === 0) {
+    check.file('empty-matrix', at, `The compressed record at byte ${at} holds an miMATRIX of 0 bytes: MATLAB fails `
+      + 'the load. Only a matrix inside another may be empty.');
+    return done(unread);
+  }
+  const held = inflated.byteLength - 8;
+  if (n > held) {
+    fault(`holds a matrix that declares ${n} bytes, and it inflates to ${held} after the matrix's tag: `
+      + 'the matrix is cut short, and MATLAB fails the load');
+  } else if (n < held) {
+    fault(`inflates to ${held - n} byte(s) after its matrix: MATLAB's record holds one matrix and nothing after it`);
+  }
+  return done(topMatrix(check, payloadSpace(view, at), at, 8, 8 + Math.min(n, held)));
+}
+
+/**
+ * Why `payload` is not a zlib stream by its first two bytes, or null when it opens like one:
+ * compression method 8 (deflate) with a window of at most 32 KiB, a header check that holds,
+ * and no preset dictionary, which MATLAB does not supply.
+ */
+function zlibHeaderFault(payload: Uint8Array): string | null {
+  if (payload.byteLength < 6) {
+    return `holds ${payload.byteLength} byte(s), fewer than the smallest zlib stream`;
+  }
+  const cmf = payload[0];
+  const flg = payload[1];
+  if (cmf === 0x1f && flg === 0x8b) {
+    return 'is a gzip stream, not a zlib one';
+  }
+  if ((cmf & 0x0f) !== 8 || cmf >> 4 > 7 || ((cmf << 8) | flg) % 31 !== 0) {
+    return `does not open with a zlib header (it opens ${hex2(cmf)} ${hex2(flg)}; raw deflate has none)`;
+  }
+  if (flg & 0x20) {
+    return 'is a zlib stream that needs a preset dictionary';
+  }
+  return null;
+}
+
+/** RFC 1950's checksum of `bytes`. */
+function adler32(bytes: Uint8Array): number {
+  let a = 1;
+  let b = 0;
+  const n = bytes.byteLength;
+  for (let i = 0; i < n;) {
+    // 5552 bytes is the most the sums take before they must be reduced to stay exact in 32 bits,
+    // and so certainly within a double.
+    const stop = Math.min(n, i + 5552);
+    for (; i < stop; i++) {
+      a += bytes[i];
+      b += a;
+    }
+    a %= 65521;
+    b %= 65521;
+  }
+  return (b * 65536 + a) >>> 0;
+}
+
+/**
+ * The tag of the sub-element at `o`, which has to end by `end`, or null when it does not, or
+ * when its small form declares more than the 4 bytes it can hold. Both are said here, so a
+ * caller that gets null stops reading the matrix and adds nothing.
+ */
+function readTag(check: Check, space: Space, o: number, end: number, what: string): Tag | null {
+  if (o + 8 > end) {
+    check.report('nbytes', space, o, `the matrix ends ${end - o} byte(s) into the tag of its ${what}, so its `
+      + 'sub-elements do not fill it: MATLAB fails the load');
+    return null;
+  }
+  const word = space.view.getUint32(o, true);
+  const small = word >>> 16;
+  if (small !== 0) {
+    // The small form: the count in the upper half of the first word, the data in the second.
+    if (small > 4) {
+      check.report('element', space, o, `the ${what} has a small tag declaring ${small} bytes, more than the 4 `
+        + 'it holds: MATLAB fails the load');
+      return null;
+    }
+    return { type: word & 0xffff, n: small, data: o + 4, next: o + 8 };
+  }
+  const n = space.view.getUint32(o + 4, true);
+  // A matrix inside another is its tag and its declared bytes; a primitive is padded to 8.
+  const next = o + 8 + (word === MI_MATRIX ? n : align8(n));
+  if (next > end) {
+    const size = word === MI_MATRIX || n % 8 === 0 ? `${n} bytes` : `${n} bytes, ${align8(n)} with its pad,`;
+    check.report('nbytes', space, o, `the ${what} declares ${size} and the matrix holding it has `
+      + `${Math.max(0, end - o - 8)} left after its tag: MATLAB fails the load`);
+    return null;
+  }
+  return { type: word, n, data: o + 8, next };
+}
+
+function align8(n: number): number {
+  return n + ((8 - (n % 8)) % 8);
+}
+
+/** A top-level record's matrix: checked, and what the placement rules need of it. */
+function topMatrix(check: Check, space: Space, at: number, start: number, end: number): RecordInfo {
+  const info: RecordInfo = { at, name: null, subsystem: false };
+  check.spend(space, start);
+  const head = readHeader(check, space, start, end);
+  if (!head) {
+    return info;
+  }
+  info.name = recordName(check, at, head.name);
+  const stream = info.name === '' ? subsystemStream(space, head, end) : null;
+  info.subsystem = stream !== null;
+  if (check.headOnly) {
+    return info;
+  }
+  const p = classBody(check, space, head, end, 0);
+  if (p !== null) {
+    fillsExactly(check, space, p, end);
+  }
+  if (stream !== null) {
+    checkSubsystem(check, space, stream.start, stream.end);
+  }
+  return info;
+}
+
+/**
+ * A variable's name, having said what is wrong with it: '' for none, and for bytes that are
+ * not UTF-8 the name as far as it reads, so the violation can still say whose it is.
+ */
+function recordName(check: Check, at: number, bytes: Uint8Array): string {
+  if (bytes.byteLength === 0) {
+    return '';
+  }
+  let name: string;
+  try {
+    name = strictUtf8.decode(bytes);
+  } catch {
+    name = looseUtf8.decode(bytes);
+    check.variable = name;
+    check.file('name', at, `The variable name at byte ${at} is not valid UTF-8 (bytes ${Array.from(bytes, hex2).join(' ')}): `
+      + 'MATLAB crashes reading it, in `load` and in `whos -file` alike.', name);
+    return name;
+  }
+  check.variable = name;
+  if (!IDENTIFIER.test(name)) {
+    check.file('name', at, `The variable name "${name}" at byte ${at} is not a MATLAB identifier (a letter, then `
+      + 'letters, digits and underscores): `S = load(f)` fails on it, and `load(f)` leaves it out.', name);
+  } else if (KEYWORDS.has(name)) {
+    check.file('name', at, `The variable name "${name}" at byte ${at} is a MATLAB keyword: MATLAB loads it as `
+      + `"${name}_", with a warning.`, name);
+  }
+  return name;
+}
+
+/**
+ * Everything before a matrix's class's own sub-elements: the array flags, the dimensions
+ * (which an opaque has none of), the name. Null, having said why, when they are not there to
+ * read as MATLAB reads them.
+ */
+function readHeader(check: Check, space: Space, start: number, end: number): MatrixHead | null {
+  const view = space.view;
+  const flagsTag = readTag(check, space, start, end, 'array flags');
+  if (!flagsTag) {
+    return null;
+  }
+  if (flagsTag.type !== MI_UINT32 || flagsTag.n !== 8) {
+    check.report('element', space, start, `the matrix's array flags are ${flagsTag.n} byte(s) of ${typeName(flagsTag.type)}, `
+      + 'where MATLAB writes and reads two miUINT32 words: it fails the load');
+    return null;
+  }
+  const flags = view.getUint32(flagsTag.data, true);
+  const cls = flags & 0xff;
+  if (cls < MX_CELL || cls > MX_OPAQUE) {
+    check.report('element', space, start, `the matrix's array class is ${cls}, which is no class MATLAB reads: `
+      + 'it fails the load');
+    return null;
+  }
+  let p = flagsTag.next;
+  const dims: number[] = [];
+  let numel = 1;
+  if (cls !== MX_OPAQUE) {
+    const dimsTag = readTag(check, space, p, end, 'dimensions');
+    if (!dimsTag) {
+      return null;
+    }
+    if (dimsTag.type !== MI_INT32 || dimsTag.n % 4 !== 0 || dimsTag.n < 8) {
+      check.report('element', space, p, `the matrix's dimensions are ${dimsTag.n} byte(s) of ${typeName(dimsTag.type)}, `
+        + 'where MATLAB writes and reads two or more miINT32 extents: it fails the load');
+      return null;
+    }
+    for (let i = 0; i < dimsTag.n; i += 4) {
+      const extent = view.getInt32(dimsTag.data + i, true);
+      if (extent < 0) {
+        check.report('element', space, p, `the matrix's dimension ${i / 4 + 1} is ${extent}, which is no size: `
+          + 'MATLAB fails the load');
+        return null;
+      }
+      dims.push(extent);
+      numel *= extent;
+    }
+    p = dimsTag.next;
+  }
+  const nameTag = readTag(check, space, p, end, 'name');
+  if (!nameTag) {
+    return null;
+  }
+  if (nameTag.type !== MI_INT8 && nameTag.type !== MI_UINT8) {
+    check.report('element', space, p, `the matrix's name is ${typeName(nameTag.type)}, where MATLAB writes an `
+      + 'miINT8 one: it fails the load');
+    return null;
+  }
+  const name = new Uint8Array(view.buffer, view.byteOffset + nameTag.data, nameTag.n);
+  return { cls, flags, dims, numel, name, p: nameTag.next };
+}
+
+/** A matrix inside another: a cell's member, a struct's field, an object's data. */
+function nestedMatrix(check: Check, space: Space, start: number, end: number, depth: number): void {
+  check.spend(space, start);
+  if (depth > MAX_NESTING) {
+    throw new OutOfBudget(space.fileAt(start), `a matrix nested more than ${MAX_NESTING} levels deep`);
+  }
+  const head = readHeader(check, space, start, end);
+  if (!head) {
+    return;
+  }
+  const p = classBody(check, space, head, end, depth);
+  if (p !== null) {
+    fillsExactly(check, space, p, end);
+  }
+}
+
+/** A matrix whose class's sub-elements end at `p` holds nothing after them. */
+function fillsExactly(check: Check, space: Space, p: number, end: number): void {
+  if (p !== end) {
+    check.report('nbytes', space, p, `${end - p} byte(s) follow the matrix's last sub-element inside it: MATLAB reads `
+      + 'a matrix as its sub-elements back to back, and they must fill it exactly');
+  }
+}
+
+/**
+ * The sub-elements a matrix of `head.cls` holds after its name, checked: where they end, or
+ * null when a fault already said means the rest cannot be read.
+ */
+function classBody(check: Check, space: Space, head: MatrixHead, end: number, depth: number): number | null {
+  const cls = head.cls;
+  switch (cls) {
+    case MX_CELL:
+      return members(check, space, head.p, end, head.numel, depth, 'cell member');
+    case MX_STRUCT:
+      return structBody(check, space, head, head.p, end, depth);
+    case MX_OBJECT: {
+      const p = className(check, space, head.p, end);
+      return p === null ? null : structBody(check, space, head, p, end, depth);
+    }
+    case MX_CHAR:
+      return charBody(check, space, head, end);
+    case MX_SPARSE:
+      return sparseBody(check, space, head, end);
+    case MX_FUNCTION:
+      return members(check, space, head.p, end, head.numel, depth, 'function handle member');
+    case MX_OPAQUE: {
+      const sub = className(check, space, head.p, end, 'subsystem name');
+      const p = sub === null ? null : className(check, space, sub, end);
+      return p === null ? null : members(check, space, p, end, 1, depth, 'object data');
+    }
+    default:
+      return head.flags & SPARSE_BIT ? sparseBody(check, space, head, end) : numericBody(check, space, head, end);
+  }
+}
+
+/**
+ * `count` matrices back to back from `p`, each checked: a cell's members, a struct's fields
+ * (element by element, field by field), a function handle's parts, an object's data.
+ */
+function members(check: Check, space: Space, p: number, end: number, count: number, depth: number, what: string): number | null {
+  for (let i = 0; i < count; i++) {
+    if (p >= end) {
+      check.report('nbytes', space, p, `the matrix holds ${i} of the ${count} ${what}(s) it declares: MATLAB fails the load`);
+      return null;
+    }
+    const tag = readTag(check, space, p, end, `${what} ${i + 1}`);
+    if (!tag) {
+      return null;
+    }
+    if (tag.type !== MI_MATRIX) {
+      check.report('element', space, p, `${what} ${i + 1} is a data element of ${typeName(tag.type)}, where MATLAB `
+        + 'reads only a matrix: it fails the load');
+      return null;
+    }
+    // An empty matrix here is a member MATLAB reads as [], and has no sub-elements to check,
+    // but it is spent as one: a billion of them is still a billion reads.
+    if (tag.n > 0) {
+      nestedMatrix(check, space, tag.data, tag.next, depth + 1);
+    } else {
+      check.spend(space, p);
+    }
+    p = tag.next;
+  }
+  return p;
+}
+
+/** An miINT8 name after a matrix's own: an object's class name, an opaque's subsystem name. */
+function className(check: Check, space: Space, p: number, end: number, what = 'class name'): number | null {
+  const tag = readTag(check, space, p, end, what);
+  if (!tag) {
+    return null;
+  }
+  if ((tag.type !== MI_INT8 && tag.type !== MI_UINT8) || tag.n === 0) {
+    check.report('element', space, p, `the object's ${what} is ${tag.n} byte(s) of ${typeName(tag.type)}, where MATLAB `
+      + 'writes a name in miINT8: it fails the load');
+    return null;
+  }
+  return tag.next;
+}
+
+/** A struct's (or an object's) field-name length, its field names, then every field's value. */
+function structBody(check: Check, space: Space, head: MatrixHead, p: number, end: number, depth: number): number | null {
+  const widthTag = readTag(check, space, p, end, 'field-name length');
+  if (!widthTag) {
+    return null;
+  }
+  if (widthTag.type !== MI_INT32 || widthTag.n !== 4) {
+    check.report('element', space, p, `the struct's field-name length is ${widthTag.n} byte(s) of ${typeName(widthTag.type)}, `
+      + 'where MATLAB writes one miINT32: it fails the load');
+    return null;
+  }
+  const width = space.view.getInt32(widthTag.data, true);
+  const namesTag = readTag(check, space, widthTag.next, end, 'field names');
+  if (!namesTag) {
+    return null;
+  }
+  if (namesTag.type !== MI_INT8 && namesTag.type !== MI_UINT8) {
+    check.report('element', space, widthTag.next, `the struct's field names are ${typeName(namesTag.type)}, where MATLAB `
+      + 'writes miINT8: it fails the load');
+    return null;
+  }
+  if (width <= 0 && namesTag.n > 0) {
+    check.report('element', space, p, `the struct's field-name length is ${width}, with ${namesTag.n} byte(s) of names: `
+      + 'MATLAB fails the load');
+    return null;
+  }
+  // MATLAB counts the fields as the names' bytes over the length, whole names only.
+  const fields = width > 0 ? Math.floor(namesTag.n / width) : 0;
+  return members(check, space, namesTag.next, end, head.numel * fields, depth, 'field value');
+}
+
+/**
+ * A char array's data: miUTF8 holding as many UTF-16 units as the array's elements, miUTF16
+ * of two bytes each, or miUINT16 below U+0100 (MATLAB keeps only the low byte of a unit above
+ * it, and fails on a surrogate). A complex char array MATLAB does not load at all.
+ */
+function charBody(check: Check, space: Space, head: MatrixHead, end: number): number | null {
+  const tag = readTag(check, space, head.p, end, 'char data');
+  if (!tag) {
+    return null;
+  }
+  const numel = head.numel;
+  const view = space.view;
+  switch (tag.type) {
+    case MI_UTF8: {
+      let text: string | null = null;
+      try {
+        text = strictUtf8.decode(new Uint8Array(view.buffer, view.byteOffset + tag.data, tag.n));
+      } catch {
+        check.report('char-type', space, head.p, 'the char array\'s miUTF8 data is not valid UTF-8');
+      }
+      if (text !== null && text.length !== numel) {
+        check.report('utf8-count', space, head.p, `the char array's miUTF8 data is ${text.length} UTF-16 unit(s) of text, `
+          + `and the array has ${numel} element(s): MATLAB fails the load`);
+      }
+      break;
+    }
+    case MI_UTF16:
+      if (tag.n !== 2 * numel) {
+        check.report('data-size', space, head.p, `the char array's miUTF16 data is ${tag.n} byte(s), and the array has `
+          + `${numel} element(s) of 2 bytes each`);
+      }
+      break;
+    case MI_UINT16:
+      if (tag.n !== 2 * numel) {
+        check.report('data-size', space, head.p, `the char array's miUINT16 data is ${tag.n} byte(s), and the array has `
+          + `${numel} element(s) of 2 bytes each`);
+      }
+      for (let o = tag.data; o + 2 <= tag.data + tag.n; o += 2) {
+        const unit = view.getUint16(o, true);
+        if (unit > 0xff) {
+          check.report('char-type', space, head.p, `the char array's miUINT16 data holds U+${unit.toString(16).toUpperCase().padStart(4, '0')}: `
+            + 'MATLAB reads miUINT16 text one byte a character, keeping only the low byte of a unit above U+00FF '
+            + 'and failing on a surrogate. Text beyond U+00FF is stored as miUTF8 or miUTF16');
+          break;
+        }
+      }
+      break;
+    default:
+      check.report('char-type', space, head.p, `the char array's data is ${typeName(tag.type)}: MATLAB reads char data `
+        + 'only as miUTF8, miUTF16 or miUINT16, and fails the load');
+  }
+  let p = tag.next;
+  if (head.flags & COMPLEX_BIT) {
+    check.report('char-type', space, head.p, 'the char array is marked complex, and MATLAB loads a complex char array '
+      + 'as nothing');
+    const imag = readTag(check, space, p, end, 'imaginary char data');
+    if (!imag) {
+      return null;
+    }
+    p = imag.next;
+  }
+  return p;
+}
+
+/**
+ * A full numeric array's real part, and its imaginary part when it is complex. A double may be
+ * stored in any numeric type (MATLAB narrows integral doubles to the smallest that holds them);
+ * every other class only in its own.
+ */
+function numericBody(check: Check, space: Space, head: MatrixHead, end: number): number | null {
+  let p = head.p;
+  for (const part of head.flags & COMPLEX_BIT ? ['real part', 'imaginary part'] : ['data']) {
+    const tag = readTag(check, space, p, end, part);
+    if (!tag) {
+      return null;
+    }
+    checkNumbers(check, space, p, head, tag, part, head.numel);
+    p = tag.next;
+  }
+  return p;
+}
+
+/** One numeric part's type and size, against its array's class and `count` elements. */
+function checkNumbers(check: Check, space: Space, o: number, head: MatrixHead, tag: Tag, part: string, count: number): void {
+  const logical = head.flags & LOGICAL_BIT && head.cls === MX_UINT8;
+  const what = logical ? 'logical' : head.cls === MX_SPARSE ? 'sparse' : CLASS_NAMES[head.cls];
+  const width = WIDTH[tag.type];
+  const own = OWN_TYPE[head.cls];
+  if (own !== undefined && tag.type !== own) {
+    check.report('int-storage', space, o, `the ${what} array's ${part} is stored as ${typeName(tag.type)}, and MATLAB `
+      + `stores a ${what} array only as ${typeName(own)}: only a double is ever stored in a narrower type`);
+    return;
+  }
+  if (width === undefined) {
+    check.report('element', space, o, `the ${what} array's ${part} is ${typeName(tag.type)}, which MATLAB does not `
+      + 'read as numbers: it fails the load');
+    return;
+  }
+  if (tag.n % width !== 0 || tag.n / width !== count) {
+    check.report('data-size', space, o, `the ${what} array's ${part} is ${tag.n} byte(s) of ${typeName(tag.type)}, and it `
+      + `has ${count} element(s) of ${width} byte(s) each`);
+  }
+}
+
+/**
+ * A sparse array: its row indices, its column starts (one per column and one more), its
+ * non-zeros, and their imaginary parts when it is complex. MATLAB has sparse arrays of double,
+ * single and logical class only.
+ */
+function sparseBody(check: Check, space: Space, head: MatrixHead, end: number): number | null {
+  const cls = head.cls;
+  const logical = (head.flags & LOGICAL_BIT) !== 0;
+  if (!(cls === MX_SPARSE || cls === MX_DOUBLE || cls === MX_SINGLE || (cls === MX_UINT8 && logical))) {
+    check.report('element', space, head.p, `the matrix is a sparse ${CLASS_NAMES[cls]} array, and MATLAB has sparse `
+      + 'arrays of double, single and logical class only');
+  }
+  if (head.dims.length !== 2) {
+    check.report('element', space, head.p, `the sparse array has ${head.dims.length} dimensions, and a sparse array has 2`);
+  }
+  const ir = readTag(check, space, head.p, end, 'row indices');
+  if (!ir) {
+    return null;
+  }
+  const jc = readTag(check, space, ir.next, end, 'column starts');
+  if (!jc) {
+    return null;
+  }
+  for (const [tag, o, part] of [[ir, head.p, 'row indices'], [jc, ir.next, 'column starts']] as const) {
+    if (tag.type !== MI_INT32) {
+      check.report('element', space, o, `the sparse array's ${part} are ${typeName(tag.type)}, where MATLAB writes `
+        + 'miINT32');
+    }
+  }
+  const nonZeros = ir.type === MI_INT32 ? ir.n / 4 : Math.floor(ir.n / (WIDTH[ir.type] ?? 1));
+  if (jc.type === MI_INT32 && head.dims.length === 2 && jc.n !== 4 * (head.dims[1] + 1)) {
+    check.report('data-size', space, ir.next, `the sparse array's column starts are ${jc.n / 4} miINT32, and it has `
+      + `${head.dims[1]} column(s), which take one more`);
+  }
+  let p = jc.next;
+  for (const part of head.flags & COMPLEX_BIT ? ['real non-zeros', 'imaginary non-zeros'] : ['non-zeros']) {
+    const tag = readTag(check, space, p, end, part);
+    if (!tag) {
+      return null;
+    }
+    checkNumbers(check, space, p, { ...head, cls: cls === MX_SPARSE && logical ? MX_UINT8 : cls }, tag, part, nonZeros);
+    p = tag.next;
+  }
+  return p;
+}
+
+/**
+ * Where the subsystem data an unnamed record holds is, or null when it holds none: the data of
+ * a real uint8 array, opening as a MAT stream does (00 01 49 4D). Read without a word said,
+ * since `classBody` checks the same sub-element as the array's data.
+ */
+function subsystemStream(space: Space, head: MatrixHead, end: number): { start: number; end: number } | null {
+  const view = space.view;
+  if (head.cls !== MX_UINT8 || head.flags & (LOGICAL_BIT | COMPLEX_BIT | SPARSE_BIT) || head.p + 16 > end) {
+    return null;
+  }
+  const n = view.getUint32(head.p + 4, true);
+  const start = head.p + 8;
+  if (view.getUint32(head.p, true) !== MI_UINT8 || n < 8 || start + n > end) {
+    return null;
+  }
+  return STREAM_MAGIC.every((b, i) => view.getUint8(start + i) === b) ? { start, end: start + n } : null;
+}
+
+/**
+ * The subsystem's stream, checked as MATLAB reads it when it loads an object: its 8-byte
+ * preamble, then matrices back to back to its last byte. The second half of the preamble's
+ * reserved word says the stream's tags are 32-bit, as in every file MATLAB was seen writing;
+ * a stream that says otherwise is not walked.
+ */
+function checkSubsystem(check: Check, space: Space, start: number, end: number): void {
+  if (space.view.getUint16(start + 4, true) !== 0) {
+    return;
+  }
+  check.inSubsystem = true;
+  try {
+    let o = start + 8;
+    while (o < end) {
+      const element = readTag(check, space, o, end, 'subsystem element');
+      if (!element) {
+        return;
+      }
+      if (element.type !== MI_MATRIX) {
+        check.report('element', space, o, `the subsystem's stream holds a data element of ${typeName(element.type)}, `
+          + 'where it holds only matrices');
+        return;
+      }
+      if (element.n > 0) {
+        nestedMatrix(check, space, element.data, element.next, 1);
+      } else {
+        check.spend(space, o);
+      }
+      o = element.next;
+    }
+  } finally {
+    check.inSubsystem = false;
+  }
+}
+
+/**
+ * The rules about where records are: the header's offset points at the subsystem, the
+ * subsystem is last, no other record is unnamed, no name is stored twice.
+ */
+function checkPlacement(check: Check, records: RecordInfo[], offset: number, length: number): void {
+  let subsystem = -1;
+  if (offset !== 0) {
+    const i = records.findIndex((r) => r.at === offset);
+    const record = records[i];
+    const field = `Header bytes 116-123 give the subsystem's offset as ${offset}`;
+    const fails = 'MATLAB reads the objects in the file only from there, and fails the load';
+    if (!record) {
+      check.file('subsystem-offset', 116, offset < 128 || offset >= length
+        ? `${field}, outside the file's records: ${fails}.`
+        : `${field}, where no record starts: ${fails}.`);
+    } else if (record.name === null) {
+      // The record there could not be read, which is said where it is.
+    } else if (record.name !== '') {
+      check.file('subsystem-offset', 116, `${field}, which is variable "${record.name}", not the subsystem: ${fails}.`);
+    } else if (!record.subsystem) {
+      check.file('subsystem-offset', 116, `${field}, an unnamed record that holds no subsystem data: ${fails}.`);
+    } else {
+      subsystem = i;
+    }
+  } else {
+    for (const r of records) {
+      if (r.subsystem) {
+        check.file('subsystem-offset', 116, `Header bytes 116-123 say the file has no subsystem, and the record at byte `
+          + `${r.at} is one: MATLAB then reads none of the objects in the file, and fails the load.`);
+      }
+    }
+  }
+  if (subsystem >= 0) {
+    for (const r of records.slice(subsystem + 1)) {
+      const what = r.name ? `Variable "${r.name}"` : `The record at byte ${r.at}`;
+      check.file('subsystem-not-last', r.at, `${what} is stored after the subsystem (byte ${records[subsystem].at}): `
+        + 'MATLAB stops reading variables at the subsystem, so `load` silently leaves it out.', r.name || undefined);
+    }
+  }
+  records.forEach((r, i) => {
+    if (r.name !== '' || i === subsystem) {
+      return;
+    }
+    const after = records.length - i - 1;
+    const what = r.subsystem
+      ? `The record at byte ${r.at} holds subsystem data, and the header's offset does not point at it`
+      : `The record at byte ${r.at} has no name`;
+    check.file('anonymous-record', r.at, `${what}: MATLAB stops reading variables at the first unnamed record, which `
+      + 'is the subsystem\'s place'
+      + (after > 0 ? `, so \`load\` silently leaves out the ${after} record(s) after it.` : ', and leaves it out of `load`.'));
+  });
+  const first = new Map<string, number>();
+  for (const r of records) {
+    if (!r.name) {
+      continue;
+    }
+    const seen = first.get(r.name);
+    if (seen === undefined) {
+      first.set(r.name, r.at);
+    } else {
+      check.file('duplicate-name', r.at, `Variable "${r.name}" is stored again at byte ${r.at} (first at byte ${seen}): `
+        + 'MATLAB loads both, `load(f)` keeping the last and `load(f, name)` the first.', r.name);
+    }
+  }
+}
diff --git a/src/datamodel/parser/MatFileWriter.ts b/src/datamodel/parser/MatFileWriter.ts
new file mode 100644
index 00000000..95301355
--- /dev/null
+++ b/src/datamodel/parser/MatFileWriter.ts
@@ -0,0 +1,1157 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// A save of a Level-5 MAT-file (`-v6`, `-v7`): the file it was read from, with what was edited
+// written fresh and everything else written as the bytes it was read from.
+//
+// WHY A SPLICE. A MAT-file is a header and a run of top-level records, each one variable, and
+// the last one, unnamed, the subsystem that holds every object of the file. Nothing in a record
+// points at another record, and nothing in the subsystem names a variable. So a record nobody
+// edited can be written back as its own bytes, compressed as it was, which no re-encode
+// reproduces: inflated and deflated again by fflate at level 6, 18 of the 78 compressed records
+// of test/parity/artifacts/mat/cases.mat come back as they were. And the reader holds what it
+// did not read (a record it could not inflate, a class it does not model) only as bytes. This
+// is MATLAB's own update model too: measured against MATLAB R2027a, `save -append` copies every
+// record it does not replace byte for byte, a compressed one included, keeps the header's text,
+// and writes the subsystem last.
+//
+// What each record of the file becomes, in the file's order (plan):
+//
+//   the node it became was deleted         nothing
+//   unedited                               its own bytes
+//   only renamed                           its element with the name replaced (MatWriter.
+//                                          elementNamed), compressed again if it was
+//   its value edited, a plain value        written fresh (MatlabVariableNode._matStream),
+//                                          named, compressed when the file holds any
+//                                          compressed record
+//   no node: the subsystem, a record the   its own bytes
+//   reader dropped
+//
+// and a variable added since the read is written fresh, after the last variable and before the
+// subsystem. The header keeps its 116 bytes of text and its version and byte-order mark, and
+// bytes 116-123 say where the subsystem now starts, which MATLAB trusts without a scan
+// (measured against MATLAB R2027a: a stale offset fails the whole load).
+//
+// "Unedited" is decided by the node's status, which every edit sets (DataNode._markModified),
+// and never by whether a value still has the bytes it was read from: those stay on a variable
+// after an edit. "Only renamed" is the status, a name that is not the record's, and no edit of
+// the value (DataNode._valueEdited).
+//
+// EVERY DOUBT REFUSES THE SAVE. A save that cannot write a variable as what it is throws a
+// MatWriteError naming it, and nothing is written: an object, a function handle or a value the
+// reader did not decode, whose edit this writer cannot write; a variable stored in a form MATLAB
+// does not load as it is, whose value as read is this reader's guess at it; a variable stored
+// after the subsystem, where MATLAB does not read it; a file whose records do not tile it, or that was
+// opened without them. And before the bytes are handed back, every record written anew is read
+// again, and one that does not read back as planned refuses the save as well (selfCheck), as does
+// a file that breaks a rule MATLAB loads a file by that the file it was read from did not break
+// (MatFileCheck). Both are asked of what the save changed, and of where every record stands: a
+// record written as its own bytes is the record it was read as, and breaks what that one broke.
+//
+// The editor takes none of the edits refused for what a variable is or where it stands: its gate
+// (MatNode._editRefusal) is built of the refusals exported here (unsavableRefusal,
+// structureRefusal, freshRefusal, renameWhy, PAST_SUBSYSTEM, duplicateWhy), so that an edit it takes
+// is one a save writes, and the two cannot come to disagree. What is left to refuse at the save is
+// what only a value's bytes say: MatWriter's budget, and the two checks of what was written.
+
+import { zlibSync } from 'fflate';
+import { inflateZlib } from './Inflate.js';
+import { parseMat, functionHandleOf } from './MatParser.js';
+import type { MatRecord, MatVariable, ParsedMat } from './MatParser.js';
+import { MatBudgetError, MatWriteError, classPhrase, elementNamed, encodeMatVariable } from './MatWriter.js';
+import { checkMatElement, violationsAddedBySplice } from './MatFileCheck.js';
+import type { MatCheckOptions, MatSplicedRecord, MatViolationCode } from './MatFileCheck.js';
+import { integerConversion } from './XmlUtils.js';
+import { validateMatlabName } from '../matlabName.js';
+import type BaseNode from '../node/BaseNode.js';
+import type DataNode from '../node/DataNode.js';
+import type MatNode from '../node/container/MatNode.js';
+import type MatlabVariableNode from '../node/data/MatlabVariableNode.js';
+
+const MI_MATRIX = 14;
+const MI_COMPRESSED = 15;
+
+/**
+ * The bytes of the MAT-file `matNode` is, as it stands now: what was edited written fresh,
+ * everything else as the bytes it was read from. Throws MatWriteError, naming the variable or
+ * the file and why, for anything it cannot write as what it is (see the file header), and
+ * never hands back bytes that did not read back as planned.
+ *
+ * `check` is the budget of the check of what was written (MatFileCheck), its own by default:
+ * for tests, which cannot make a file a gigabyte past it.
+ */
+export function serializeMatFile(matNode: MatNode, check: MatCheckOptions = {}): Uint8Array {
+  const file = matNode.name;
+  const unsavable = unsavableRefusal(matNode);
+  if (unsavable) {
+    throw unsavable;
+  }
+  const records = matNode.records!;
+  const headerBytes = matNode.headerBytes!;
+
+  const subsystem = subsystemOf(matNode, records);
+  const plan = planOf(matNode, records, subsystem);
+  // Nothing deleted, renamed, edited or added: the file, as it was read.
+  if (plan.length === records.length && plan.every((p, i) => p.kind === 'verbatim' && p.record === records[i])) {
+    return concat([headerBytes, ...records.map((r) => r.bytes)], fileTooBig(file));
+  }
+  const structure = structureRefusal(matNode, records, subsystem);
+  if (structure) {
+    throw structure;
+  }
+  const assembled = assemble(file, headerBytes, plan, subsystem);
+  selfCheck(file, assembled, plan, headerBytes);
+  refuseWorse(file, assembled, plan, headerBytes, records, check);
+  return assembled.bytes;
+}
+
+/**
+ * The refusal of every save of `matNode`, an unedited one included, or null: a tree opened
+ * without the records a save writes back, one whose bytes the host has since handed away, and
+ * a file whose records do not tile it. Asked first by serializeMatFile, and by the editor, which
+ * takes no edit of a file no save can write (MatNode._editRefusal).
+ */
+export function unsavableRefusal(matNode: MatNode): MatWriteError | null {
+  const file = matNode.name;
+  const { records, headerBytes } = matNode;
+  if (!records || !headerBytes) {
+    return new MatWriteError(
+      'Cannot save "' + file + '": it was opened without the records a save writes back, so a save would lose every one '
+        + 'this package did not read. Nothing was written.',
+    );
+  }
+  // The records are views of the bytes the file was read from, which a host that transfers
+  // them to a worker afterwards empties: what was not edited would be written as nothing.
+  const gone = headerBytes.byteLength !== 128 ? { offset: 0, length: 128, bytes: headerBytes } : records.find((r) => r.bytes.byteLength !== r.length);
+  if (gone) {
+    return new MatWriteError(
+      'Cannot save "' + file + '": the bytes it was read from are no longer held (the ' + (gone.offset === 0 ? 'header' : 'record at byte ' + gone.offset)
+        + ' holds ' + gone.bytes.byteLength + ' of its ' + gone.length + '), so what was not edited could not be written as it was. '
+        + 'Nothing was written.',
+    );
+  }
+  if (!matNode.framed) {
+    const at = matNode.unframed?.at ?? 128;
+    const unframedBytes = headerBytes.buffer.byteLength - headerBytes.byteOffset - at;
+    return new MatWriteError(
+      'Cannot save "' + file + '": this package could not frame ' + unframedBytes + ' byte(s) of it, from byte ' + at
+        + (matNode.unframed ? ' (' + matNode.unframed.reason + ')' : '')
+        + ', so a save could not keep them as they are. Nothing was written.',
+    );
+  }
+  return null;
+}
+
+// ---- The plan: what each record of the file becomes -----------------------------------------
+
+/** One record of the file a save writes, and where its bytes come from. */
+type Planned =
+  // A record of the file, as its own bytes.
+  | { kind: 'verbatim'; record: MatRecord }
+  // A record of the file whose variable was only renamed: its element, named `name`, and the
+  // element it was read as (elementOfRecord), which the self-check holds it to.
+  | { kind: 'renamed'; record: MatRecord; name: string; bytes: Uint8Array; element: Uint8Array }
+  // A value written fresh, named `name`: an edited variable's, read from `record`, or one
+  // added since the read, with no record.
+  | { kind: 'fresh'; record: MatRecord | null; node: MatlabVariableNode; name: string; bytes: Uint8Array };
+
+/** What has happened to the variable a record became, as a save writes it. */
+type Edit = 'none' | 'name' | 'value';
+
+// The record `matNode`'s header says its subsystem starts at, or null when it says there is none,
+// or names a byte where no unnamed record starts (structureRefusal). By offset, and not by which
+// record has no name: a matrix too short for its own flags reads as unnamed too. And unnamed,
+// because a variable the header points at is a variable, whose edit is written or refused as
+// any other's, and not passed over as the subsystem it is not.
+export function subsystemOf(matNode: MatNode, records: MatRecord[]): MatRecord | null {
+  if (matNode.subsystemOffset === 0) {
+    return null;
+  }
+  return records.find((r) => r.offset === matNode.subsystemOffset && r.anonymous) ?? null;
+}
+
+// The file's records, each as a save writes it, in the file's order, and every variable added
+// since the read just before the subsystem, or at the end of a file with none, in the order they
+// were added. A record that became no node (the subsystem, one the reader dropped) is its own
+// bytes. One past the subsystem, which MATLAB does not read, is too, and its edit refuses the
+// save: written where it is, MATLAB still would not read it, and moved, what MATLAB loads of the
+// file would change. Deleting one changes nothing MATLAB loads, and is written.
+function planOf(matNode: MatNode, records: MatRecord[], subsystem: MatRecord | null): Planned[] {
+  const compress = records.some((r) => r.compressed);
+  const added = matNode.children.filter((c) => matNode.recordOf(c) === null);
+  const plan: Planned[] = [];
+  const addAdded = () => {
+    for (const node of added) {
+      plan.push(freshOf(node, null, compress));
+    }
+  };
+  let pastSubsystem = false;
+  for (const record of records) {
+    if (record === subsystem) {
+      addAdded();
+      plan.push({ kind: 'verbatim', record });
+      pastSubsystem = true;
+      continue;
+    }
+    const node = matNode.nodeOf(record);
+    if (!node) {
+      plan.push({ kind: 'verbatim', record });
+      continue;
+    }
+    if (node.parent !== matNode) {
+      continue;
+    }
+    const edit = editOf(node, record);
+    if (edit === 'none') {
+      plan.push({ kind: 'verbatim', record });
+    } else if (pastSubsystem) {
+      throw refusal(node.name, PAST_SUBSYSTEM);
+    } else if (edit === 'name') {
+      plan.push(renamedOf(node, record));
+    } else {
+      plan.push(freshOf(node, record, compress));
+    }
+  }
+  if (!subsystem) {
+    addAdded();
+  }
+  refuseDuplicates(plan);
+  return plan;
+}
+
+// What has happened to the variable `record` became, `node`: decided by its status, which every
+// edit sets (DataNode._markModified), and by whether anything but its own rename set it
+// (DataNode._valueEdited). A rename undone leaves the status set and the name the file's: it is
+// unedited. Its name is asked whatever the status, so that a rename made around the API, which
+// sets none, is still written as one.
+function editOf(node: BaseNode, record: MatRecord): Edit {
+  const { status, _valueEdited } = node as DataNode;
+  if (status === 'New' || (status === 'Modified' && _valueEdited)) {
+    return 'value';
+  }
+  return node.name !== record.name ? 'name' : 'none';
+}
+
+/** Why the edit of a variable stored after the subsystem is refused (planOf, and the editor's gate). */
+export const PAST_SUBSYSTEM =
+  "it is stored after the file's objects, where MATLAB does not read it, so it would not be read written there, "
+  + 'and moved, it would change what MATLAB loads of the file';
+
+/**
+ * The refusal of a save of a file with an unnamed record that is not its subsystem, or whose
+ * header puts its subsystem where no unnamed record starts, or null: such a save cannot place
+ * what it writes where MATLAB reads it. Measured against MATLAB R2027a, MATLAB lists no variable
+ * past the first unnamed record, and a header offset that is not the subsystem's fails the whole
+ * load. Asked only of a save that changes the file: one that does not hands back the bytes it was
+ * read from. So the editor asks it of every edit (MatNode._editRefusal).
+ */
+export function structureRefusal(matNode: MatNode, records: MatRecord[], subsystem: MatRecord | null): MatWriteError | null {
+  const file = matNode.name;
+  const offset = matNode.subsystemOffset;
+  if (offset !== 0 && !subsystem) {
+    return new MatWriteError(
+      'Cannot save "' + file + '": its header places the file\'s objects at byte ' + offset + ', where '
+        + (records.some((r) => r.offset === offset) ? 'a variable is' : 'no record starts') + ', so a save cannot say where they are. '
+        + 'Nothing was written.',
+    );
+  }
+  const stray = records.find((r) => r.anonymous && r !== subsystem);
+  if (stray) {
+    return new MatWriteError(
+      'Cannot save "' + file + '": the record at byte ' + stray.offset + ' holds a value with no name that is not the '
+        + 'file\'s objects, and MATLAB reads no variable past one, so a save cannot place an edit where MATLAB reads it. '
+        + 'Nothing was written.',
+    );
+  }
+  return null;
+}
+
+// Two records of one name: MATLAB loads one of them (measured against MATLAB R2027a: `load f`
+// keeps the last, `load f x` the first). A file that holds two keeps them, as it was read; a
+// rename or an addition that would make two is refused, naming the variable. A record the reader
+// could not read a name out of is held to none (MatNode._namespaceHolds says why).
+function refuseDuplicates(plan: Planned[]): void {
+  const count = new Map<string | null, number>();
+  const nameOf = (p: Planned) => (p.kind === 'verbatim' ? p.record.name : p.name);
+  for (const p of plan) {
+    count.set(nameOf(p), (count.get(nameOf(p)) ?? 0) + 1);
+  }
+  for (const p of plan) {
+    if (p.kind !== 'verbatim' && count.get(p.name)! > 1) {
+      throw refusal(p.name, duplicateWhy(p.name));
+    }
+  }
+}
+
+/** Why a variable is not written under `name`, which another variable of the file has (refuseDuplicates, and the editor's gate). */
+export function duplicateWhy(name: string): string {
+  return 'the file holds another variable named "' + name + '", and MATLAB loads only one of them';
+}
+
+// The refusal of a save for variable `name`, worded as every refused write is (MatWriter's
+// budgetFailure, DataNode's): the variable, why, and that nothing was written.
+function refusal(name: string, why: string): MatWriteError {
+  return new MatWriteError('Cannot write "' + name + '": ' + why + '. Nothing was written.');
+}
+
+// A name this writer puts in an element: a valid MATLAB name, by the rule a rename is held to
+// (matlabName), which is stricter than MATLAB's and holds for older releases. A variable added
+// by a caller that named it itself (MatNode.execAddEntry) has had no other check.
+function refuseName(name: string): void {
+  const error = validateMatlabName(name);
+  if (error) {
+    throw refusal(name, 'it is not a name MATLAB can load (' + error + ')');
+  }
+}
+
+// ---- What a renamed or an edited record is written as -----------------------------------------
+
+// The record of a variable only renamed: its element as read, with the name subelement replaced
+// (MatWriter.elementNamed) and every other byte copied, compressed again when it was. An object
+// variable, a function handle and a value the reader did not decode are renamed so as well:
+// nothing of them but their name is written.
+function renamedOf(node: BaseNode, record: MatRecord): Planned {
+  const name = node.name;
+  refuseName(name);
+  const why = renameWhy(record);
+  if (why) {
+    throw refusal(name, why);
+  }
+  const element = elementOfRecord(record)!;
+  return { kind: 'renamed', record, name, bytes: recordBytes(elementNamed(element, name)!, record.compressed, name), element };
+}
+
+/**
+ * Why the variable read from `record` cannot be renamed, or null where it can: its record is not
+ * one whole element whose name can be replaced (elementOfRecord, MatWriter.elementNamed), which a
+ * record MATLAB writes always is. Asked by renamedOf, and by a rename before it is made
+ * (MatNode._renameRefusal), once a record: the records never change, and asking inflates one.
+ */
+export function renameWhy(record: MatRecord): string | null {
+  let can = renamable.get(record);
+  if (can === undefined) {
+    const element = elementOfRecord(record);
+    can = !!element && elementNamed(element, '') !== null;
+    renamable.set(record, can);
+  }
+  return can ? null : 'the record it was read from, at byte ' + record.offset + ', is not a whole element whose name can be replaced, so it cannot be renamed';
+}
+
+const renamable = new WeakMap<MatRecord, boolean>();
+
+// The record of a value written fresh: `node`'s, an edited variable read from `record` or one
+// added since, named, and compressed when the file holds any compressed record, so that a `-v6`
+// file, which holds none and is readable by every MATLAB, stays one.
+//
+// Only a plain MATLAB value is written fresh. A variable that was an object, a string, a function
+// handle or a value the reader did not decode is refused when anything but its name changed, as
+// is a typed object's node, whatever it holds now: this writer has no encoder for an object, and
+// the record's own bytes, which are the only thing it could write, are no longer the value.
+function freshOf(node: BaseNode, record: MatRecord | null, compress: boolean): Planned {
+  const name = node.name;
+  const refused = freshRefusal(node, record);
+  if (refused) {
+    throw refused;
+  }
+  const value = valueNodeOf(node)!;
+  const named = elementNamed(globalAsRead(freshElement(value), record), name);
+  if (!named) {
+    throw refusal(name, 'the element written for it has no name to replace');
+  }
+  return { kind: 'fresh', record, node: value, name, bytes: recordBytes(named, compress, name) };
+}
+
+/**
+ * The refusal a save throws for writing `node` fresh, the variable `record` became or one added
+ * since (no record), or null where nothing about what it is refuses it: what an edit of anything
+ * of it but its own name asks of a save. A name that is no MATLAB name by the rule a rename is
+ * held to; a variable that was not a plain value, or whose node is a typed object's (freshOf); one
+ * holding what this writer cannot write at any depth (unwritableIn); one with no form at all, a
+ * container none of whose elements could be read (_heldNone) or a size that is no count
+ * (_refuseNoSize); one holding a container read short at any depth (shortIn); and one stored in
+ * a form MATLAB does not load as it is (storedRefusal).
+ *
+ * One rule for freshOf, which throws it, and for the editor, which takes no edit a save would
+ * refuse so (MatNode._editRefusal): the two cannot come to disagree. What it does not judge is
+ * what only the value's bytes say, MatWriter's budget among them, which freshElement meets.
+ */
+export function freshRefusal(node: BaseNode, record: MatRecord | null): MatWriteError | null {
+  const name = node.name;
+  const nameError = validateMatlabName(name);
+  if (nameError) {
+    return refusal(name, 'it is not a name MATLAB can load (' + nameError + ')');
+  }
+  const was = record?.variable ? notPlain(record.variable) : null;
+  const value = valueNodeOf(node);
+  if (was || !value) {
+    const what = was ?? classPhrase(String((node as DataNode).className || 'object'));
+    return refusal(name, 'it is ' + what + ', which a MAT-file save writes only as it was read, or renamed, so its edit cannot be saved');
+  }
+  const unwritable = unwritableIn(value);
+  if (unwritable) {
+    return refusal(name, unwritable.path + ' is ' + unwritable.what + ', which this package cannot write into a MAT-file');
+  }
+  if (value._heldNone()) {
+    return value._heldNoneRefusal();
+  }
+  try {
+    value._refuseNoSize();
+  } catch (e) {
+    if (e instanceof MatWriteError) {
+      return e;
+    }
+    throw e;
+  }
+  const short = shortIn(value);
+  if (short) {
+    return refusal(name, short.path + ' is ' + short.what + ', and a save would write the ones it does not hold as empty');
+  }
+  // And one stored in a form MATLAB does not load as it is (storedRefusal). Last, so that a
+  // refusal that says more of the same damage (a container read short, a value not decoded) is
+  // the one given.
+  const stored = record ? storedRefusal(record) : null;
+  if (stored) {
+    return refusal(name, 'it is stored in a form MATLAB does not load as it is (' + stored + '), so there is no value of it a save '
+      + 'can be held to: it is written only as it was read, or renamed');
+  }
+  return null;
+}
+
+// The rules of MatFileCheck a variable's own element can break whose break says that what this
+// package read of it is not a value MATLAB loads: char data MATLAB does not read as text, or
+// reads otherwise (miUINT8 Latin-1 bytes, which this reader decodes as UTF-8, miUTF32, which it
+// decodes as UTF-8 too, and CJK in miUINT16, of which MATLAB keeps the low byte of each unit), a
+// char's UTF-8 that does not hold its count, a numeric class stored in another's type, a matrix
+// its sub-elements do not fill, one MATLAB cannot read where it stands, a data part holding more
+// or fewer elements than the dims say. Written fresh, each was this reader's guess at it, which
+// MATLAB then loaded in its place: measured on MATLAB's verdict corpus (test/fixtures/mat-check),
+// a 1x3 char stored as miUTF32 was written as the 1x12 of its bytes, and 'héllo' stored as miUINT8
+// as 'h\uFFFDllo'. Not a name (a fresh one is held to validateMatlabName), nor what only the file
+// breaks around the element.
+const VALUE_RULES: ReadonlySet<MatViolationCode> = new Set<MatViolationCode>(['char-type', 'utf8-count', 'int-storage', 'nbytes', 'element', 'data-size']);
+
+// What `record`'s own element breaks of VALUE_RULES, as checkMatElement says it, or null. Of the
+// element the reader read, which it holds whole (MatVariable._rawBytes), so nothing is inflated;
+// once per record, whose bytes never change.
+const storedVerdicts = new WeakMap<MatRecord, string | null>();
+function storedRefusal(record: MatRecord): string | null {
+  let verdict = storedVerdicts.get(record);
+  if (verdict === undefined) {
+    const element = record.variable?._rawBytes;
+    const broken = element ? checkMatElement(element).find((v) => VALUE_RULES.has(v.code)) : undefined;
+    verdict = broken ? broken.message.replace(/\.$/, '') : null;
+    storedVerdicts.set(record, verdict);
+  }
+  return verdict;
+}
+
+/**
+ * The first container at or under `at` that holds fewer elements than it declares, read short
+ * out of a damaged record (MatParser's "declares 3 cell(s) and only 1 could be read"), with its
+ * path and what it holds; null for none. MatWriter writes each element it does not hold as an
+ * empty double, a hole (cellBody, structBody), which is a value the file did not hold, and past
+ * its budget refuses the save: a 1x600000 cell holding one element was 599,999 of them. So such a
+ * variable is written only as it was read, or renamed. A container the node ceiling built without
+ * its rows is asked of the variable it was read as, which is what it is written as.
+ */
+function shortIn(at: BaseNode): { path: string; what: string } | null {
+  const node = valueNodeOf(at);
+  if (!node) {
+    return null;
+  }
+  if (node._cutByCeiling && node._matVar) {
+    return shortVariableIn(node._matVar, node.matlabPath);
+  }
+  const declared = (node._dims || []).reduce((a, b) => a * b, 1);
+  const isStruct = node._kind === 'scalar' && node._scalarType === 'struct';
+  if (node._kind !== 'cell' && !isStruct) {
+    return null;
+  }
+  // A struct array's rows are its elements, and one with no fields past the cap has none: it is
+  // written as the bytes it was read from (MatlabVariableNode._unexpandedStruct).
+  const holdsElements = node._kind === 'cell' || (declared !== 1 && !node._unexpandedStruct());
+  if (holdsElements && node.children.length < declared) {
+    return { path: node.matlabPath, what: heldPhrase(node._dims, node._kind === 'cell' ? 'cell' : 'struct array', node.children.length) };
+  }
+  for (const child of node.children) {
+    const below = shortIn(child);
+    if (below) {
+      return below;
+    }
+  }
+  return null;
+}
+
+// shortIn, of a variable as MatParser read it.
+function shortVariableIn(v: MatVariable | null | undefined, path: string): { path: string; what: string } | null {
+  if (!v) {
+    return null;
+  }
+  const dims = dimsOf(v);
+  const declared = dims.reduce((a, b) => a * b, 1);
+  if (v.className === 'cell') {
+    const members = flatValues(v.value) as (MatVariable | null)[];
+    const held = members.slice(0, declared).filter(Boolean).length;
+    if (held < declared) {
+      return { path, what: heldPhrase(dims, 'cell', held) };
+    }
+    for (let i = 0; i < members.length; i++) {
+      const below = shortVariableIn(members[i], path + '{' + (i + 1) + '}');
+      if (below) {
+        return below;
+      }
+    }
+  }
+  if (v.className === 'struct' && v.fields) {
+    for (const name of Object.keys(v.fields)) {
+      const held = v.fields[name];
+      const elements = Array.isArray(held) ? held : [held];
+      const present = elements.slice(0, declared).filter(Boolean).length;
+      if (present < declared) {
+        return { path, what: heldPhrase(dims, 'struct array', present) + ' in its field ' + name };
+      }
+      for (let e = 0; e < elements.length; e++) {
+        const below = shortVariableIn(elements[e], path + (Array.isArray(held) ? '(' + (e + 1) + ')' : '') + '.' + name);
+        if (below) {
+          return below;
+        }
+      }
+    }
+  }
+  return null;
+}
+
+function heldPhrase(dims: number[], what: string, held: number): string {
+  return 'a ' + dims.join('x') + ' ' + what + ' holding ' + held + ' of the ' + dims.reduce((a, b) => a * b, 1) + ' elements it declares';
+}
+
+// `node` as the node of a plain MATLAB value, or null for a node of another class: a typed
+// object's (a ParameterNode, a BusNode). Asked of what the node does rather than of its class,
+// which this layer does not import (test/moduleBoundaries): a MatlabVariableNode, and only it,
+// writes its value as a MAT stream.
+function valueNodeOf(node: BaseNode): MatlabVariableNode | null {
+  const v = node as unknown as Partial<MatlabVariableNode>;
+  return typeof v._matStream === 'function' && typeof v._matWritable === 'function' ? (v as MatlabVariableNode) : null;
+}
+
+// What a variable read as `v` is, in words, when it is not a plain MATLAB value; null when it is.
+function notPlain(v: MatVariable): string | null {
+  if (v.isOpaque) {
+    return classPhrase(v.className || 'object');
+  }
+  if (functionHandleOf(v) || v.className === 'function_handle') {
+    return 'a function handle';
+  }
+  if (v.className === 'unknown' || v.undecoded) {
+    return 'a value that was not decoded';
+  }
+  return null;
+}
+
+// Where an element's array flags keep its flags byte: past the element's tag and the flags' own,
+// which MATLAB and MatWriter both write in the long form (8 bytes of tag, then 8 of data), and
+// the byte after the class; and its bit for global.
+const FLAGS_BYTE = 17;
+const GLOBAL_FLAG = 0x04;
+
+// `element`, written fresh for the variable `record` holds, global when that one was
+// (MatVariable.isGlobal). The flag is the workspace variable's and not its value's, so no writer
+// of a value writes it, and written fresh a variable saved as global was not one: `load(f)` no
+// longer declared it global. A rename splice keeps it with the rest of the element. Only the
+// top-level element, the one MATLAB sets it on; and on a copy, since the element may be a view
+// of the bytes the file was read from (_matStream's own, which then hold it already).
+function globalAsRead(element: Uint8Array, record: MatRecord | null): Uint8Array {
+  const longFlags = element.byteLength > FLAGS_BYTE && u32At(element, 8) === 6 && u32At(element, 12) === 8;
+  if (!record?.variable?.isGlobal || !longFlags || element[FLAGS_BYTE] & GLOBAL_FLAG) {
+    return element;
+  }
+  const out = element.slice();
+  out[FLAGS_BYTE] |= GLOBAL_FLAG;
+  return out;
+}
+
+// The miMATRIX element `node`'s value is, with the empty name a stream's value has: the stream it
+// is written as in a dictionary (_matStream), which writes a sparse array no element row edited
+// and a struct array with no element rows as the bytes they were read from, and anything else as
+// MatWriter writes it, once freshRefusal has found nothing in it this writer cannot write. Refused
+// as a dictionary's save refuses it past MatWriter's budget, restated naming the variable
+// (_budgetFailure), and for any other refusal of MatWriter's.
+function freshElement(node: MatlabVariableNode): Uint8Array {
+  const stream = node._matStream();
+  if (stream) {
+    return stream.subarray(8);
+  }
+  // _matStream answers null for a refusal of MatWriter's other than its budget's: asked again,
+  // for its reason.
+  try {
+    encodeMatVariable(node._var);
+  } catch (e) {
+    if (e instanceof MatBudgetError) {
+      throw node._budgetFailure(e);
+    }
+    if (e instanceof MatWriteError) {
+      throw refusal(node.name, e.message);
+    }
+    throw e;
+  }
+  throw refusal(node.name, 'no MAT element could be written for it');
+}
+
+/**
+ * The first node at or under `at` that MatWriter cannot write as what it is (the rule of
+ * MatlabVariableNode._matWritable), with its MATLAB path and what it is, or null for none. Asked
+ * by freshRefusal, and by the editor of a value about to be typed in (MatNode._valueRefusal).
+ *
+ * A container the node ceiling built without its rows (_cutByCeiling) is written as the variable
+ * it was read as (MatlabVariableNode._var), so that variable is what is asked of it, and not its
+ * rows, which _matWritable would find none of to refuse: a cell of function handles, cut, said
+ * nothing, and its edit was refused by MatWriter at the save.
+ */
+export function unwritableIn(at: BaseNode): { path: string; what: string } | null {
+  const found = unwritableAt(at);
+  if (found) {
+    return found;
+  }
+  const node = valueNodeOf(at)!;
+  return node._matWritable() ? null : { path: node.matlabPath, what: 'a value MatWriter has no variable for' };
+}
+
+function unwritableAt(at: BaseNode): { path: string; what: string } | null {
+  const node = valueNodeOf(at);
+  if (!node) {
+    return { path: at.matlabPath, what: classPhrase(String((at as DataNode).className || 'object')) };
+  }
+  if (node._isOpaque) {
+    return { path: node.matlabPath, what: classPhrase(node._opaqueClassName || 'object') };
+  }
+  if (node._undecoded) {
+    return { path: node.matlabPath, what: 'a value that was not decoded' };
+  }
+  if (node._scalarType === 'string' || node._scalarType === 'function_handle') {
+    return { path: node.matlabPath, what: node._scalarType === 'string' ? 'a string' : 'a function handle' };
+  }
+  if (node._cutByCeiling && node._matVar) {
+    return notPlainIn(node._matVar, node.matlabPath);
+  }
+  // Only a cell and a struct hold values of their own: an array's rows are its elements.
+  if (node._kind === 'cell' || node._scalarType === 'struct') {
+    for (const child of node.children) {
+      const below = unwritableAt(child);
+      if (below) {
+        return below;
+      }
+    }
+  }
+  return null;
+}
+
+// The first member at or under the variable `v`, at `path`, that is not a plain MATLAB value
+// (notPlain), with its path, or null: the members of a cell and the fields of a struct, at any
+// depth, as MatParser holds them.
+function notPlainIn(v: MatVariable | null | undefined, path: string): { path: string; what: string } | null {
+  if (!v) {
+    return null;
+  }
+  const what = notPlain(v);
+  if (what) {
+    return { path, what };
+  }
+  if (v.className === 'cell') {
+    const members = flatValues(v.value) as (MatVariable | null)[];
+    for (let i = 0; i < members.length; i++) {
+      const below = notPlainIn(members[i], path + '{' + (i + 1) + '}');
+      if (below) {
+        return below;
+      }
+    }
+  }
+  if (v.className === 'struct' && v.fields) {
+    for (const name of Object.keys(v.fields)) {
+      const held = v.fields[name];
+      const elements = Array.isArray(held) ? held : [held];
+      for (let e = 0; e < elements.length; e++) {
+        const below = notPlainIn(elements[e], path + (Array.isArray(held) ? '(' + (e + 1) + ')' : '') + '.' + name);
+        if (below) {
+          return below;
+        }
+      }
+    }
+  }
+  return null;
+}
+
+// The miMATRIX element a record holds: its own bytes for a plain one, its payload inflated for a
+// compressed one. Null when there is no whole element, or bytes after it: a record that is not
+// one MATLAB writes is not one to rename.
+function elementOfRecord(record: MatRecord): Uint8Array | null {
+  const bytes = record.bytes;
+  if (bytes.byteLength < 8) {
+    return null;
+  }
+  const nbytes = u32At(bytes, 4);
+  if (!record.compressed) {
+    return u32At(bytes, 0) === MI_MATRIX && 8 + nbytes <= bytes.byteLength ? bytes.subarray(0, 8 + nbytes) : null;
+  }
+  let inflated: Uint8Array;
+  try {
+    inflated = inflateZlib(bytes.subarray(8, 8 + nbytes));
+  } catch {
+    return null;
+  }
+  if (inflated.byteLength < 8 || u32At(inflated, 0) !== MI_MATRIX) {
+    return null;
+  }
+  return 8 + u32At(inflated, 4) === inflated.byteLength ? inflated : null;
+}
+
+// A top-level record of `element`, the variable `name`'s: the element itself, which MatWriter pads
+// to 8 bytes as a plain record must be, or its zlib stream (RFC 1950, which MATLAB requires; level
+// 6, MATLAB's default) in an miCOMPRESSED tag, with no padding after it, as MATLAB writes one.
+function recordBytes(element: Uint8Array, compress: boolean, name: string): Uint8Array {
+  return compress ? compressedRecordOf(zlibSync(element, { level: 6 }), name) : element;
+}
+
+/**
+ * The miCOMPRESSED record of `stream`, the zlib stream of the variable `name`'s element: its tag
+ * and the stream. Refused for a stream of 4 GiB or more, whose length the tag's 32 bits cannot
+ * say: written, its length would wrap, and the record would declare a few bytes of a stream that
+ * goes on. Exported for test/matFileSave.test.ts, which holds it to that without a stream so big.
+ */
+export function compressedRecordOf(stream: Uint8Array, name: string): Uint8Array {
+  if (stream.byteLength > 0xffffffff) {
+    throw refusal(name, 'compressed, its element is a stream of ' + stream.byteLength + ' bytes, more than the 4 GiB a record can say it holds');
+  }
+  return concat([u32le(MI_COMPRESSED), u32le(stream.byteLength), stream], (total) =>
+    refusal(name, 'its record would be ' + total + ' bytes, more than this runtime holds in one buffer'),
+  );
+}
+
+// ---- Assembly ---------------------------------------------------------------------------------
+
+/** The bytes of the plan, each planned record's offset in them, and the subsystem's, or null. */
+interface Assembled {
+  bytes: Uint8Array;
+  offsets: number[];
+  subsystemAt: number | null;
+}
+
+// The header and the planned records, back to back. The header is the file's own: its text
+// (bytes 0-115, which MATLAB keeps on `-append` and never reads), and its version and byte-order
+// mark (124-127). Bytes 116-123 are the subsystem's new offset, a little-endian uint64, or, in a
+// file with no subsystem, the file's own: zeros or spaces, both of which MATLAB reads as none.
+function assemble(file: string, headerBytes: Uint8Array, plan: Planned[], subsystem: MatRecord | null): Assembled {
+  const header = headerBytes.slice();
+  const parts: Uint8Array[] = [header];
+  const offsets: number[] = [];
+  let subsystemAt: number | null = null;
+  let at = header.byteLength;
+  for (const p of plan) {
+    const bytes = bytesOf(p);
+    offsets.push(at);
+    if (p.kind === 'verbatim' && p.record === subsystem) {
+      subsystemAt = at;
+    }
+    parts.push(bytes);
+    at += bytes.byteLength;
+  }
+  if (subsystemAt !== null) {
+    new DataView(header.buffer, header.byteOffset, header.byteLength).setBigUint64(116, BigInt(subsystemAt), true);
+  }
+  return { bytes: concat(parts, fileTooBig(file)), offsets, subsystemAt };
+}
+
+// The bytes a planned record is written as: a record of the file's own, or the ones written for it.
+function bytesOf(p: Planned): Uint8Array {
+  return p.kind === 'verbatim' ? p.record.bytes : p.bytes;
+}
+
+// The refusal of a file of `total` bytes, more than one buffer here holds (concat).
+function fileTooBig(file: string): (total: number) => MatWriteError {
+  return (total) => new MatWriteError(
+    'Cannot save "' + file + '": the file written for it would be ' + total + ' bytes, more than this runtime holds in one buffer. '
+      + 'Nothing was written.',
+  );
+}
+
+// ---- The self-check ---------------------------------------------------------------------------
+//
+// The bytes about to be handed back, against the plan: the header kept, and saying where the
+// subsystem now is; the records the ones planned, back to back from byte 128 to the last byte,
+// each at the offset planned and framed as the reader frames one; and every record written anew
+// read again by this package's reader, alone: each renamed one named as planned and, but for its
+// name, its element byte for byte; each written fresh named as planned and reading back as the
+// value it was written from, its class, size and every element. Any difference refuses the save.
+//
+// A record written as its own bytes is not read again: it is the record the file was read as,
+// whole (unsavableRefusal: not one byte of it handed away since), copied by assemble at the
+// offset this checks. Reading it again would read the reader's own reading of the same bytes, at
+// the cost of inflating every compressed record of the file at every save.
+//
+// This proves what was written is what was planned, and not that MATLAB loads it: this reader
+// reads files MATLAB refuses. That is refuseWorse's to ask, of the other judge.
+
+function selfCheck(file: string, assembled: Assembled, plan: Planned[], headerBytes: Uint8Array): void {
+  const fail = (why: string): never => {
+    throw new MatWriteError('Cannot save "' + file + '": the file written for it did not read back as written: ' + why + '. Nothing was written.');
+  };
+  const { bytes, offsets } = assembled;
+  const head = bytes.subarray(0, 128);
+  if (!sameBytes(head.subarray(0, 116), headerBytes.subarray(0, 116)) || !sameBytes(head.subarray(124), headerBytes.subarray(124))) {
+    return fail('its header is not the one it was read with');
+  }
+  const subsystemSaid = assembled.subsystemAt ?? 0;
+  const offsetSaid = head.subarray(116, 124).every((b) => b === 0x20) ? 0 : Number(new DataView(head.buffer, head.byteOffset + 116, 8).getBigUint64(0, true));
+  if (offsetSaid !== subsystemSaid) {
+    return fail('its header places its objects at byte ' + offsetSaid + ', and they are at byte ' + subsystemSaid);
+  }
+  let end = 128;
+  plan.forEach((p, i) => {
+    const record = bytesOf(p);
+    if (offsets[i] !== end) {
+      fail('a record was written at byte ' + offsets[i] + ', where the one before it ends at byte ' + end);
+    }
+    if (p.kind === 'verbatim' && record.byteLength !== p.record.length) {
+      fail('the record at byte ' + end + ' holds ' + record.byteLength + ' of the ' + p.record.length + ' bytes it was read as');
+    }
+    if (!framedAsRead(record) || u32At(bytes, end) !== u32At(record, 0) || u32At(bytes, end + 4) !== u32At(record, 4)) {
+      fail('the record at byte ' + end + ' is not framed as the record written there');
+    }
+    end += record.byteLength;
+  });
+  if (end !== bytes.byteLength) {
+    return fail('it is ' + bytes.byteLength + ' bytes, and its records end at byte ' + end);
+  }
+  plan.forEach((p, i) => {
+    if (p.kind === 'verbatim') {
+      return;
+    }
+    const at = offsets[i];
+    const got = readAlone(file, head, bytes.subarray(at, at + p.bytes.byteLength));
+    if (!got || got.status !== 'read' || got.anonymous || got.name !== p.name || got.variable?.name !== p.name) {
+      fail('the record at byte ' + at + ', written as "' + p.name + '", reads as ' + (got?.status === 'read' ? '"' + got.name + '"' : 'no variable'));
+    }
+    if (p.kind === 'renamed') {
+      const unnamed = (e: Uint8Array | null | undefined) => (e && wholeElement(e) ? elementNamed(e, '') : null);
+      const was = unnamed(p.element);
+      const is = unnamed(got!.variable!._rawBytes);
+      if (!was || !is || !sameBytes(was, is)) {
+        fail('"' + p.name + '" is not, but for its name, the element it was read as');
+      }
+      return;
+    }
+    const difference = differs(p.node._var, got!.variable, p.name);
+    if (difference) {
+      fail(difference);
+    }
+    // Global as the variable it was written for was (globalAsRead), and a variable added since not.
+    if (!!p.record?.variable?.isGlobal !== !!got!.variable?.isGlobal) {
+      const is = got!.variable?.isGlobal ? 'global, where the variable it was written for was not' : 'not global, where the variable it was written for was';
+      fail('"' + p.name + '" reads back ' + is);
+    }
+  });
+}
+
+// Whether `record` is framed as MatParser frames a record of a file it calls framed: its tag's 8
+// bytes and exactly the bytes they declare, which for a plain record are a whole number of 8-byte
+// words; and a tag that is neither the zero one the reader stops at nor a small element's.
+function framedAsRead(record: Uint8Array): boolean {
+  if (record.byteLength < 8) {
+    return false;
+  }
+  const type = u32At(record, 0);
+  const n = u32At(record, 4);
+  if (8 + n !== record.byteLength) {
+    return false;
+  }
+  return type === MI_COMPRESSED || (n % 8 === 0 && !(type === 0 && n === 0) && !(type >>> 16 !== 0 && (type & 0xffff) !== 0));
+}
+
+// The one record of a file of `header` and `record`, as this package's reader reads it, or null
+// where it reads that file as anything else.
+function readAlone(file: string, header: Uint8Array, record: Uint8Array): MatRecord | null {
+  // The whole of a buffer of its own (concat), which the reader may take as it is.
+  const alone = concat([header, record], fileTooBig(file));
+  let parsed: ParsedMat;
+  try {
+    parsed = parseMat(alone.buffer as ArrayBuffer);
+  } catch {
+    return null;
+  }
+  return parsed.framed && parsed.records.length === 1 ? parsed.records[0] : null;
+}
+
+// Whether `element` is one miMATRIX element, its tag and exactly the bytes it declares.
+function wholeElement(element: Uint8Array): boolean {
+  return element.byteLength >= 8 && u32At(element, 0) === MI_MATRIX && 8 + u32At(element, 4) === element.byteLength;
+}
+
+// The bytes about to be handed back, judged by the rules MATLAB loads a file by (MatFileCheck),
+// which this package's reader does not hold a file to: the save is refused when they break a rule
+// the file they were read from did not break. A file that was read breaking one (two variables of
+// one name, say) may still be saved, edited elsewhere, as long as the save adds nothing to it.
+// Compared by rule and variable, not by offset, which every edit before a record moves; a
+// variable renamed is compared under the name the file it was read from gave it.
+//
+// Judged where the save changed the file (violationsAddedBySplice): every record written anew and
+// the record it replaces, the header, and where every record stands. A record written as its own
+// bytes breaks what it broke as read, and the two are the same answer; so a save costs what it
+// changed, and a file too big for the check's budget whole can still be saved where its edits
+// are small. Phase 2, which writes the subsystem anew, hands it in as a record written in place of
+// the subsystem's (MatSplicedRecord `replaces`), and it is checked whole as every written one is.
+function refuseWorse(file: string, assembled: Assembled, plan: Planned[], headerBytes: Uint8Array, records: MatRecord[], check: MatCheckOptions): void {
+  const index = new Map(records.map((r, i) => [r, i] as const));
+  const renamed = new Map<string, string>();
+  const written: MatSplicedRecord[] = plan.map((p, i) => {
+    if (p.kind === 'verbatim') {
+      return { kept: index.get(p.record)! };
+    }
+    if (p.record?.name && p.record.name !== p.name) {
+      renamed.set(p.name, p.record.name);
+    }
+    const at = assembled.offsets[i];
+    return { written: assembled.bytes.subarray(at, at + p.bytes.byteLength), replaces: p.record ? index.get(p.record)! : null };
+  });
+  const added = violationsAddedBySplice(
+    // A compressed record's inflate, as the reader holds it (MatVariable._rawBytes): inflateZlib's
+    // of the record's own bytes, so that the check does not inflate the file again.
+    { header: headerBytes, records: records.map((r) => ({ bytes: r.bytes, inflated: r.compressed ? r.variable?._rawBytes : null })) },
+    { header: assembled.bytes.subarray(0, 128), records: written },
+    renamed,
+    check,
+  );
+  const broken = added.filter((v) => v.code !== 'budget');
+  if (broken.length > 0) {
+    const more = broken.length - 1;
+    throw new MatWriteError(
+      'Cannot save "' + file + '": the file written for it breaks a rule MATLAB loads a file by, which the file it was read '
+        + 'from does not: ' + broken[0].message + (more > 0 ? ' It breaks ' + more + ' more as well.' : '') + ' Nothing was written.',
+    );
+  }
+  if (added.length > 0) {
+    // The check stopped before it had judged all of what the save wrote: nothing is known
+    // broken, and nothing is known to load.
+    throw new MatWriteError(
+      'Cannot save "' + file + '": the file written for it could not be verified within the check\'s budget against the rules '
+        + 'MATLAB loads a file by (' + added[0].message.replace(/\.$/, '') + '), so it is not known to load. Nothing was written.',
+    );
+  }
+}
+
+// Where the value read back, `read`, is not the value `model` it was written from, in words, or
+// null where it is that value: the same class, complexity, storage and size, the same members of a
+// cell, the same fields of a struct in the same order, and each element the same number as its
+// class holds it. MatWriter's own rules are taken as the model's meaning, not its result: an
+// integer element as MATLAB converts it to the class, a single's as a float32, a member a cell or
+// a struct does not hold as the empty double written for it.
+function differs(model: MatVariable | null | undefined, read: MatVariable | null | undefined, at: string): string | null {
+  const m = model ?? EMPTY_DOUBLE;
+  const r = read ?? EMPTY_DOUBLE;
+  const cls = classOf(m);
+  const said = (what: string, was: string, is: string) => at + ': its ' + what + ' reads back as ' + is + ' where ' + was + ' was written';
+  if (classOf(r) !== cls) {
+    return said('class', cls, classOf(r));
+  }
+  const md = dimsOf(m);
+  if (md.join('x') !== r.dimensions.join('x')) {
+    return said('size', md.join('x'), r.dimensions.join('x'));
+  }
+  if (!!m.isComplex !== !!r.isComplex || !!m.isSparse !== !!r.isSparse) {
+    return said('storage', storageOf(m), storageOf(r));
+  }
+  const n = md.reduce((a, b) => a * b, 1);
+  if (m.isSparse) {
+    return sparseDiffers(m, r, cls, at);
+  }
+  if (cls === 'cell') {
+    const mc = flatValues(m.value) as (MatVariable | null)[];
+    const rc = flatValues(r.value) as (MatVariable | null)[];
+    for (let i = 0; i < n; i++) {
+      const d = differs(mc[i], rc[i], at + '{' + (i + 1) + '}');
+      if (d) {
+        return d;
+      }
+    }
+    return null;
+  }
+  if (cls === 'struct') {
+    const mf = m.fields ?? {};
+    const rf = r.fields ?? {};
+    const names = Object.keys(mf);
+    if (names.join(',') !== Object.keys(rf).join(',')) {
+      return said('fields', names.join(', ') || 'none', Object.keys(rf).join(', ') || 'none');
+    }
+    for (let e = 0; e < n; e++) {
+      for (const name of names) {
+        const d = differs(memberOf(mf[name], e, n), memberOf(rf[name], e, n), at + (n === 1 ? '' : '(' + (e + 1) + ')') + '.' + name);
+        if (d) {
+          return d;
+        }
+      }
+    }
+    return null;
+  }
+  if (cls === 'char') {
+    const was = String(m.value ?? '');
+    const is = String(r.value ?? '');
+    return was === is ? null : said('text', JSON.stringify(was), JSON.stringify(is));
+  }
+  const mv = flatValues(m.value);
+  const rv = flatValues(r.value);
+  if (mv.length !== n || rv.length !== n) {
+    return said('element count', String(mv.length), String(rv.length));
+  }
+  const same = sameNumberFor(cls);
+  for (let i = 0; i < n; i++) {
+    for (const part of m.isComplex ? (['re', 'im'] as const) : (['re'] as const)) {
+      const was = partOf(mv[i], part);
+      const is = partOf(rv[i], part);
+      if (!same(was, is)) {
+        return said('element ' + (i + 1) + (m.isComplex ? ' (' + (part === 're' ? 'real' : 'imaginary') + ' part)' : ''), String(was), String(is));
+      }
+    }
+  }
+  return null;
+}
+
+// A sparse array's non-zeros, compared as a set of (row, column) to value: the order a writer
+// puts them in is its own, and an explicit zero is not a non-zero MATLAB keeps.
+function sparseDiffers(m: MatVariable, r: MatVariable, cls: string, at: string): string | null {
+  const ms = m.sparse;
+  const rs = r.sparse;
+  if (!ms || !rs) {
+    return at + ': it holds no non-zeros to compare';
+  }
+  const same = sameNumberFor(cls);
+  const entries = (s: NonNullable<MatVariable['sparse']>) => {
+    const out = new Map<string, [number, number]>();
+    for (let k = 0; k < s.row.length; k++) {
+      const re = s.re[k];
+      const im = s.im ? s.im[k] : 0;
+      if (re !== 0 || im !== 0) {
+        out.set(s.row[k] + ',' + s.col[k], [re, im]);
+      }
+    }
+    return out;
+  };
+  const was = entries(ms);
+  const is = entries(rs);
+  if (was.size !== is.size) {
+    return at + ': it reads back with ' + is.size + ' non-zero(s) where ' + was.size + ' were written';
+  }
+  for (const [where, [re, im]] of was) {
+    const got = is.get(where);
+    if (!got || !same(re, got[0]) || !same(im, got[1])) {
+      const [row, col] = where.split(',').map(Number);
+      return at + ': its non-zero at (' + (row + 1) + ',' + (col + 1) + ') does not read back as written';
+    }
+  }
+  return null;
+}
+
+const EMPTY_DOUBLE: MatVariable = { name: '', className: 'double', dimensions: [0, 0], isComplex: false, isLogical: false, value: null, fields: null };
+
+const INTEGER_CLASS = /^u?int(?:8|16|32|64)$/;
+
+// MATLAB's class of `v`: a logical array is class uint8 with the logical flag, in a file and in
+// the variable the node layer hands MatWriter.
+function classOf(v: MatVariable): string {
+  return v.isLogical || v.className === 'logical' ? 'logical' : v.className;
+}
+
+function storageOf(v: MatVariable): string {
+  return (v.isSparse ? 'sparse' : 'full') + (v.isComplex ? ' complex' : ' real');
+}
+
+// Whether two elements of class `cls` are the one number the class holds: an integer class's as
+// MATLAB converts a value to it (integerConversion: rounded, saturated, NaN as 0), a logical's as a
+// uint8, a single's as a float32, and a double's as itself, NaN equal to NaN and -0 not to 0.
+function sameNumberFor(cls: string): (a: unknown, b: unknown) => boolean {
+  if (INTEGER_CLASS.test(cls) || cls === 'logical') {
+    const to = integerConversion(cls === 'logical' ? 'uint8' : cls);
+    return (a, b) => String(to(a)) === String(to(b));
+  }
+  if (cls === 'single') {
+    return (a, b) => Object.is(Math.fround(Number(a)), Math.fround(Number(b)));
+  }
+  return (a, b) => Object.is(Number(a), Number(b));
+}
+
+// One part of a numeric element: a complex one is `{re, im}`, and a real one its real part, with
+// an imaginary part of 0.
+function partOf(x: unknown, part: 're' | 'im'): unknown {
+  if (x !== null && typeof x === 'object' && 're' in (x as Record<string, unknown>)) {
+    return (x as Record<string, unknown>)[part];
+  }
+  return part === 're' ? x : 0;
+}
+
+// Element `e` of `n` of a struct field: a struct array holds one variable per element, a 1x1
+// struct the variable itself (MatVariable.fields).
+function memberOf(held: MatVariable | MatVariable[] | undefined, e: number, n: number): MatVariable | undefined {
+  return Array.isArray(held) ? held[e] : n === 1 ? held : undefined;
+}
+
+// A MAT element has at least two dimensions; a variable may say fewer (MatWriter.dimsOf).
+function dimsOf(v: MatVariable): number[] {
+  const d = (v.dimensions || []).slice();
+  while (d.length < 2) {
+    d.push(1);
+  }
+  return d;
+}
+
+// The values of a variable as one list: MatParser leaves a 1x1 a bare value and an empty one null.
+function flatValues(value: unknown): unknown[] {
+  if (value === null || value === undefined) {
+    return [];
+  }
+  return Array.isArray(value) ? value : [value];
+}
+
+// ---- Bytes ------------------------------------------------------------------------------------
+
+// `parts`, back to back in a buffer of their own; or, past the most bytes the runtime holds in one
+// buffer, `tooBig`'s refusal of that many, rather than the RangeError the runtime throws, which
+// says nothing of what was being written.
+function concat(parts: Uint8Array[], tooBig: (total: number) => MatWriteError): Uint8Array {
+  let total = 0;
+  for (const p of parts) {
+    total += p.byteLength;
+  }
+  let out: Uint8Array;
+  try {
+    out = new Uint8Array(total);
+  } catch (e) {
+    if (e instanceof RangeError) {
+      throw tooBig(total);
+    }
+    throw e;
+  }
+  let at = 0;
+  for (const p of parts) {
+    out.set(p, at);
+    at += p.byteLength;
+  }
+  return out;
+}
+
+function u32le(n: number): Uint8Array {
+  const out = new Uint8Array(4);
+  new DataView(out.buffer).setUint32(0, n >>> 0, true);
+  return out;
+}
+
+function u32At(bytes: Uint8Array, at: number): number {
+  return new DataView(bytes.buffer, bytes.byteOffset, bytes.byteLength).getUint32(at, true);
+}
+
+function sameBytes(a: Uint8Array, b: Uint8Array): boolean {
+  if (a.byteLength !== b.byteLength) {
+    return false;
+  }
+  for (let i = 0; i < a.byteLength; i++) {
+    if (a[i] !== b[i]) {
+      return false;
+    }
+  }
+  return true;
+}
diff --git a/src/datamodel/parser/MatParser.ts b/src/datamodel/parser/MatParser.ts
index 62085225..4b78c275 100644
--- a/src/datamodel/parser/MatParser.ts
+++ b/src/datamodel/parser/MatParser.ts
@@ -52,6 +52,13 @@ export interface MatVariable {
     // them. It is what MatWriter writes sparse storage on (encodeSparse), since writing the
     // array full would change the variable's storage in the file. Absent on everything else.
     isSparse?: boolean;
+    // The array flags' global bit (0x04 of the flags byte): `save` sets it on a variable declared
+    // global, on its top-level element and on no element nested in it (measured against MATLAB
+    // R2027a, test/fixtures/global/make_global_fixtures.m), and `load(f)` declares such a
+    // variable global again. It is the workspace variable's, not its value's, so no writer of a
+    // value writes it: the MAT-file save sets it on the element it writes for the variable that
+    // had it (MatFileWriter). Absent when the bit is clear.
+    isGlobal?: boolean;
     // A sparse array's non-zeros, which are all of it: a sparse array is never held as a
     // dense list, so what it costs is what it holds. Its `value` is its summary,
     // `<10000000x2 sparse double>`, which a host that renders values without knowing this
@@ -117,6 +124,62 @@ export interface ParsedMat {
     // back without it — see test/parseWarnings.test.ts, which pins the near-misses as
     // firmly as the warnings.
     warnings: ParseWarning[];
+    // What a save of this file splices (MatNode keeps them all): the header's 128 bytes,
+    // every record in it, and whether those records are the file, byte for byte.
+    //
+    // A view of the input, as every record's bytes are, so nothing is copied: what a save
+    // writes for a variable nobody edited is the bytes it was read from, and for a
+    // compressed one that is the only way to write it byte-identical. MATLAB deflates in
+    // a way a recompression does not reproduce: inflated and deflated again by fflate at
+    // level 6, 18 of the 78 records of test/parity/artifacts/mat/cases.mat came back as
+    // they were.
+    headerBytes: Uint8Array;
+    // Header bytes 116-123: the absolute offset of the subsystem record's tag, which MATLAB
+    // trusts without a scan (measured against MATLAB R2027a: a stale offset fails the
+    // whole load). 0 when the file has no subsystem, which 8 spaces also mean.
+    subsystemOffset: number;
+    // Every top-level record, in file order, the ones this reader read and the ones it
+    // could not or would not (`status`). A save that writes only the variables it holds
+    // drops the rest without a word, and a record that will not inflate here may still
+    // be one MATLAB reads.
+    records: MatRecord[];
+    // Whether the records tile [128, end of file) exactly as MATLAB frames them: a
+    // compressed record is its 8-byte tag and payload, with no padding after it, and a
+    // plain one is padded out to an 8-byte boundary (MatRecord.length). False for a
+    // record the file cuts short, for bytes after the last record, and for a stop at a
+    // zero tag with bytes left; `unframed` says where and why. Only bytes that are
+    // framed can be spliced: past the first byte that is not, the reader and MATLAB may
+    // not agree on what the records are.
+    framed: boolean;
+    unframed: { at: number; reason: string } | null;
+}
+
+/**
+ * One top-level record of a MAT-file, in the file's own bytes: a variable, the subsystem
+ * that holds the file's objects, or a record this reader did not read.
+ */
+export interface MatRecord {
+    // Where its tag starts, and how many bytes it covers: its tag and payload, and for a
+    // plain record its padding to the next 8-byte boundary, as far as the file holds them.
+    offset: number;
+    length: number;
+    // Those bytes, a view of the input.
+    bytes: Uint8Array;
+    // An miCOMPRESSED record, whose payload is a zlib stream of one miMATRIX.
+    compressed: boolean;
+    // The element's name, '' for an unnamed one (`anonymous`), and null when no element
+    // could be read out of the record.
+    name: string | null;
+    // An element with no name: the subsystem, which MATLAB writes unnamed and last, or
+    // one this reader read too little of to find its name.
+    anonymous: boolean;
+    // 'read' when the reader made a variable of it (`variable`); 'dropped' when it did
+    // not, with the warning's text for why.
+    status: 'read' | 'dropped';
+    reason?: string;
+    // The variable the reader made of it, the one in `ParsedMat.variables`, by identity:
+    // what MatNode looks a node's record up by. Null for a dropped record.
+    variable: MatVariable | null;
 }
 
 interface SubElement {
@@ -1021,6 +1084,9 @@ export function parseMatrix(view: DataView, baseOffset: number, length: number,
     if (isSparse) {
         result.isSparse = true;
     }
+    if (flags & 0x04) {
+        result.isGlobal = true;
+    }
 
     // Past MAX_NESTING levels a matrix is recorded with its class, size and name, and nothing in
     // it is read. What holds it keeps its bytes, as for every value this reader does not decode:
@@ -1332,7 +1398,14 @@ export function parseMatrix(view: DataView, baseOffset: number, length: number,
             // elements had 10,000 empty rows, and a 104 KB file holding 1,000 of them ran a
             // 512 MB heap out while it opened. MATLAB writes every field of every element, so an
             // array it wrote has every list already.
-            if (totalElements > 1) {
+            //
+            // So is every field of an array of NO element, each with its empty list: its names
+            // are all there is of it, `struct('a', {})` being a 0x0 struct with a field `a`. It
+            // held `{}`, and a writer writes the names a variable holds, so a .mat save of one
+            // and a copy of one into a dictionary's stream wrote a struct of no field (measured
+            // against MATLAB R2027a: the 0x0 a .mat save wrote for it loaded with fieldnames {},
+            // where the file's had {'a'}).
+            if (totalElements !== 1) {
                 for (const fn of fieldNames) {
                     if (!Object.prototype.hasOwnProperty.call(fields, fn)) {
                         setOwn<MatVariable | MatVariable[]>(fields, fn, []);
@@ -1418,6 +1491,22 @@ export function parseMat(arrayBuffer: ArrayBuffer): ParsedMat {
     const readShort = new Set<MatVariable>();
     let offset = 128;
 
+    // The file's records as a save splices them (ParsedMat.records), and the first place
+    // they stop tiling the file, if they do. Kept beside the walk rather than by it: the
+    // walk steps 8 + nbytes past every record, as it always has, and that is MATLAB's step
+    // for every record but a plain one whose nbytes is not a multiple of 8, which MATLAB
+    // pads and the walk does not. No file MATLAB wrote under test/ holds one, an miMATRIX's
+    // nbytes counting its sub-elements' padding, so a file that does is left unframed
+    // rather than walked a second way.
+    const records: MatRecord[] = [];
+    let unframed: { at: number; reason: string } | null = null;
+    const unframe = (at: number, reason: string) => { unframed ??= { at, reason }; };
+    const dropped = (record: MatRecord, warning: ParseWarning) => {
+        record.status = 'dropped';
+        record.reason = warning.message;
+        warnings.push(warning);
+    };
+
     // The name to blame a short record on — empty for the unnamed element every MCOS
     // file carries, which has no name to give.
     const nameFor = (variable: MatVariable) => (variable._anonymous ? '' : variable.name);
@@ -1434,14 +1523,21 @@ export function parseMat(arrayBuffer: ArrayBuffer): ParsedMat {
                 message: `The file ends with ${buf.length - offset} byte(s) where a record header needs 8, `
                     + 'so anything stored after the last variable read was not read.',
             });
+            unframe(offset, `the file ends ${buf.length - offset} byte(s) into a record's tag`);
             break;
         }
         const dataType = view.getUint32(offset, true);
         const numBytes = view.getUint32(offset + 4, true);
 
         // The format's own end-of-variables marker. NOT a warning: a file that ends
-        // where it says it ends has been read completely.
-        if (dataType === 0 && numBytes === 0) { break; }
+        // where it says it ends has been read completely. Not a record either, and the
+        // file is not framed: measured against MATLAB R2027a, a file whose last variable is
+        // followed by 8 zero bytes fails to load, as one followed by 3 or 100 does.
+        if (dataType === 0 && numBytes === 0) {
+            unframe(offset, `a zero tag at byte ${offset} is no record, and it and the ${buf.length - offset - 8} byte(s) `
+                + 'after it are not read');
+            break;
+        }
 
         // A record may declare more bytes than the file holds. Everything below clamps
         // rather than throwing (see readSubelement), so the variable still opens —
@@ -1451,7 +1547,41 @@ export function parseMat(arrayBuffer: ArrayBuffer): ParsedMat {
         const missing = offset + 8 + numBytes - buf.length;
         let shortened = '';
 
-        if (dataType === MI_COMPRESSED) {
+        const isCompressed = dataType === MI_COMPRESSED;
+        const extent = 8 + (isCompressed ? numBytes : align8(numBytes));
+        const length = Math.min(extent, buf.length - offset);
+        const record: MatRecord = {
+            offset,
+            length,
+            bytes: buf.subarray(offset, offset + length),
+            compressed: isCompressed,
+            name: null,
+            anonymous: false,
+            status: 'read',
+            variable: null,
+        };
+        records.push(record);
+        if (length < extent) {
+            unframe(offset, `the record at byte ${offset} needs ${extent} bytes and the file holds ${length}`);
+        } else if (!isCompressed && numBytes % 8 !== 0) {
+            unframe(offset, `the plain record at byte ${offset} declares ${numBytes} bytes, which is not a whole `
+                + 'number of 8-byte words');
+        } else if ((dataType >>> 16) !== 0 && (dataType & 0xFFFF) !== 0) {
+            // Both halves of the type word set: a small data element's tag, the form a
+            // short sub-element is written in. This reader steps over it as 8 + its second
+            // word, which is not how that form is laid out, and MATLAB is not known to step
+            // over one at all at the top of a file.
+            unframe(offset, `the record at byte ${offset} has a small data element's tag`);
+        }
+        // The variable read out of this record, whose record it is (MatNode binds the
+        // node made of it to the record by it).
+        const readAs = (variable: MatVariable) => {
+            record.variable = variable;
+            record.name = variable._anonymous ? '' : variable.name;
+            record.anonymous = !!variable._anonymous;
+        };
+
+        if (isCompressed) {
             const compressed = buf.slice(offset + 8, offset + 8 + numBytes);
             let pako: Uint8Array;
             try {
@@ -1464,7 +1594,7 @@ export function parseMat(arrayBuffer: ArrayBuffer): ParsedMat {
                 // one unreadable record is one variable, not the file. A record that would
                 // inflate past the ceiling for one record (MAT_RECORD_INFLATE_CEILING) is
                 // unreadable the same way, and is never read cut to the ceiling.
-                warnings.push({
+                dropped(record, {
                     code: 'part-unreadable',
                     message: err instanceof InflateCeilingError
                         ? `A compressed record at byte ${offset} inflates to more than the ${err.ceiling}-byte ceiling `
@@ -1485,7 +1615,7 @@ export function parseMat(arrayBuffer: ArrayBuffer): ParsedMat {
             const innerType = tagged ? deView.getUint32(0, true) : 0;
             const innerBytes = tagged ? deView.getUint32(4, true) : 0;
             if (!tagged) {
-                warnings.push({
+                dropped(record, {
                     code: 'part-unreadable',
                     message: `A compressed record at byte ${offset} inflates to ${deView.byteLength} bytes, fewer than the 8 `
                         + "of a data element's tag, so the variable it holds was not read.",
@@ -1498,6 +1628,7 @@ export function parseMat(arrayBuffer: ArrayBuffer): ParsedMat {
                 } else {
                     variables.push({ name: '', className: '', dimensions: [], isComplex: false, isLogical: false, value: null, fields: null, _rawBytes: new Uint8Array(pako.buffer, pako.byteOffset, pako.byteLength), _anonymous: true });
                 }
+                readAs(variables[variables.length - 1]);
                 shortened = nameFor(variables[variables.length - 1]);
                 // The record's warning below, one level in. The matrix's own tag in the
                 // payload may claim more bytes than the payload holds, as a record may claim
@@ -1519,7 +1650,7 @@ export function parseMat(arrayBuffer: ArrayBuffer): ParsedMat {
                     warnings.push(short);
                 }
             } else {
-                warnings.push({
+                dropped(record, {
                     code: 'part-unreadable',
                     message: `A compressed record at byte ${offset} holds a data element of type `
                         + `${innerType} where a variable has to be a matrix, so it was not read.`,
@@ -1533,11 +1664,12 @@ export function parseMat(arrayBuffer: ArrayBuffer): ParsedMat {
             } else {
                 variables.push({ name: '', className: '', dimensions: [], isComplex: false, isLogical: false, value: null, fields: null, _rawBytes: buf.slice(offset, offset + 8 + numBytes), _anonymous: true });
             }
+            readAs(variables[variables.length - 1]);
             shortened = nameFor(variables[variables.length - 1]);
         } else {
             // Only miCOMPRESSED and miMATRIX carry a variable at this level. Anything
             // else was skipped, and a whole variable's worth of file went with it.
-            warnings.push({
+            dropped(record, {
                 code: 'part-unreadable',
                 message: `A data element of type ${dataType} at byte ${offset} is not a variable, `
                     + 'so it was not read.',
@@ -1567,7 +1699,26 @@ export function parseMat(arrayBuffer: ArrayBuffer): ParsedMat {
         collectUndecoded(variable, variable.name || '<unnamed>', warnings, readShort);
     }
 
-    return { header, variables, warnings };
+    return {
+        header,
+        variables,
+        warnings,
+        headerBytes: buf.subarray(0, 128),
+        subsystemOffset: subsystemOffsetOf(buf, view),
+        records,
+        framed: unframed === null,
+        unframed,
+    };
+}
+
+// Header bytes 116-123 as a number: a little-endian uint64, or 0 when they are 8 spaces,
+// which MATLAB reads as no subsystem as it does 8 zero bytes. An offset past 2^53 is
+// past any file this reads, and is kept as the nearest double, which no record starts at.
+function subsystemOffsetOf(buf: Uint8Array, view: DataView): number {
+    if (buf.subarray(116, 124).every((b) => b === 0x20)) {
+        return 0;
+    }
+    return Number(view.getBigUint64(116, true));
 }
 
 /**
diff --git a/src/datamodel/parser/MatWriter.ts b/src/datamodel/parser/MatWriter.ts
index 2dda6271..ca739969 100644
--- a/src/datamodel/parser/MatWriter.ts
+++ b/src/datamodel/parser/MatWriter.ts
@@ -1099,12 +1099,42 @@ function ownElement(raw: Uint8Array): Uint8Array | null {
   return concat([u32le(MI_MATRIX), u32le(body.length), body]);
 }
 
+/**
+ * The miMATRIX element `raw` holds as read, named `name`: the inverse of ownElement, for a
+ * variable of a MAT-file, which carries its name in its element as a stream's value does not.
+ * Every byte but the name subelement's is copied, and the element's size restated, so a
+ * variable renamed and saved is the value it was, byte for byte, whatever this writer would
+ * write for it. Null when the bytes are not a whole element whose name this can find.
+ *
+ * An MCOS object's element (class 17) is renamed as well: its name comes straight after its
+ * array flags, with no dimensions before it, and then the type system's name and the object's
+ * class, which are kept. Measured against MATLAB R2027a: the file's subsystem holds no
+ * variable's name, so an object variable renamed this way loads as the same object, a
+ * Simulink.Parameter and a string alike.
+ *
+ * The name is written as MATLAB writes one, miINT8 with its UTF-8 bytes, in the small form
+ * when it is 1 to 4 bytes long (element).
+ */
+export function elementNamed(raw: Uint8Array, name: string): Uint8Array | null {
+  const at = ownElementName(raw, true);
+  if (!at) {
+    return null;
+  }
+  const named = element(MI_INT8, new TextEncoder().encode(name));
+  const body = concat([raw.slice(8, at.nameAt), named, raw.slice(at.nameAt + at.name, at.end)]);
+  return concat([u32le(MI_MATRIX), u32le(body.length), body]);
+}
+
 /**
  * Where the name subelement of the miMATRIX element `raw` holds is, and where the element
  * ends; null when the bytes are not a whole one ownElement can re-frame. Read, not built, so
  * it can be asked of every member before a write (refuseDimsBelow).
+ *
+ * An MCOS object's element has no stream of its own (matStreamOfElement), so it is found only
+ * when `opaque` is set, for a variable's rename (elementNamed): its name is the subelement
+ * after its flags, where any other class has its dimensions.
  */
-function ownElementName(raw: Uint8Array): { nameAt: number; name: number; end: number } | null {
+function ownElementName(raw: Uint8Array, opaque = false): { nameAt: number; name: number; end: number } | null {
   if (raw.length < 8) {
     return null;
   }
@@ -1126,12 +1156,13 @@ function ownElementName(raw: Uint8Array): { nameAt: number; name: number; end: n
     return 8 + n + ((8 - (n % 8)) % 8);
   };
   const flags = subLength(8);
-  if (!flags || raw[16] === 17) {
+  const isOpaque = raw[16] === 17;
+  if (!flags || (isOpaque && !opaque)) {
     return null;
   }
-  const dims = subLength(8 + flags);
+  const dims = isOpaque ? 0 : subLength(8 + flags);
   const nameAt = 8 + flags + dims;
-  const name = dims ? subLength(nameAt) : 0;
+  const name = dims || isOpaque ? subLength(nameAt) : 0;
   if (!name || nameAt + name > end) {
     return null;
   }
diff --git a/src/datamodel/parser/SparseData.ts b/src/datamodel/parser/SparseData.ts
index bdd0e374..3888cb92 100644
--- a/src/datamodel/parser/SparseData.ts
+++ b/src/datamodel/parser/SparseData.ts
@@ -17,7 +17,7 @@
 // Parser-layer, so it imports nothing from the display or the node layer: MatParser
 // produces one of these, MatWriter consumes one, and the node layer edits one.
 
-import { formatComplexNum, parseComplexNum, parseMatlabNum } from './XmlUtils.js';
+import { formatComplexNum, formatMatlabNum, parseComplexNum, parseMatlabNum } from './XmlUtils.js';
 
 /**
  * The non-zeros of a sparse array: entry k is at 0-based (row[k], col[k]) and holds re[k]
@@ -104,15 +104,25 @@ export function unbackedColumns(s: SparseData, dims: number[]): string | null {
 
 /**
  * One complex element as the node layer holds it, `1+2i`, `3-4i`, `1NaNi`, `1+Infi`:
- * XmlUtils.formatComplexNum's spelling. The one spelling of an element of a complex array
- * read out of MAT bytes, full or sparse (MatlabVariableNode._createFromMatNumeric), so the
- * two show a value the same way, and the same way a binary dictionary's text shows it.
+ * XmlUtils.formatComplexNum's spelling, a -0 part's sign kept. The one spelling of an element
+ * of a complex array read out of MAT bytes, full or sparse (MatlabVariableNode.
+ * _createFromMatNumeric), so the two show a value the same way, and the same way a binary
+ * dictionary's text shows it.
  * Through 1.40.0 each part was String()'d, so an infinite part read `Infinity`, which MATLAB
  * neither writes nor reads (`{1+Infinityi}` is "Unrecognized function or variable
  * 'Infinityi'", R2027a): a text dictionary's complex(1, Inf) showed `1+Infinityi` beside
  * its binary twin's `1+Infi`. parseComplexNum still reads that spelling back.
  */
 export function complexElement(re: number | string, im: number | string): string {
+  // A part of -0 keeps its sign, which formatComplexNum does not spell (String(-0) is `0`): the
+  // text is the value (MatlabVariableNode._buildVarObject writes the array from it), so a .mat's
+  // `-3i`, complex(-0, -3), written again was complex(0, -3). It reads `-0-3i`, as the same value
+  // out of a binary dictionary's `-0.0-3.0i` does, and an imaginary -0 shows with a `+`
+  // (XmlUtils.shownComplexText).
+  if (Object.is(re, -0) || Object.is(im, -0)) {
+    const part = (x: number | string) => (Object.is(x, -0) ? '-0' : formatMatlabNum(x));
+    return part(re) + (Number(im) >= 0 && !Object.is(im, -0) ? '+' : '') + part(im) + 'i';
+  }
   return formatComplexNum(re, im);
 }
 
diff --git a/src/index.ts b/src/index.ts
index ff294665..ef368959 100644
--- a/src/index.ts
+++ b/src/index.ts
@@ -148,6 +148,8 @@ export type {
 export type { ParsedSlx, BlockParamUsage } from './datamodel/parser/SlxParser.js';
 export type { ParsedMdl } from './datamodel/parser/MdlParser.js';
 export type { ParsedMat, MatVariable } from './datamodel/parser/MatParser.js';
+// One record of a MAT-file as ParsedMat.records holds it, and as MatNode keeps it for a save.
+export type { MatRecord } from './datamodel/parser/MatParser.js';
 // A sparse array's non-zeros, which is how MatVariable holds one (`sparse`): named for
 // the same reason, since a consumer reading a sparse variable reads this.
 export type { SparseData } from './datamodel/parser/SparseData.js';
diff --git a/test/budgetFailsClosed.test.ts b/test/budgetFailsClosed.test.ts
index c2afa256..69ca64c7 100644
--- a/test/budgetFailsClosed.test.ts
+++ b/test/budgetFailsClosed.test.ts
@@ -130,9 +130,16 @@ describe('past the budget, a paste, a copy and a save fail, and nothing is writt
     // Unedited, each member is the bytes it was read from and costs nothing; edited, it is
     // encoded from its non-zeros, and 999 of its columns no data backs, 3,996 bytes apiece.
     const member = sparseVar({ name: '', dimensions: [1000, 1000], ir: [0], jc: [0, 1], real: [5], nzmax: 1, sparseFlag: true });
-    const c: any = createSession().addMatSource('c.mat', matFile([cellVar('c', Array.from({ length: 4199 }, () => member))])).children[0];
+    const mat: any = createSession().addMatSource('c.mat', matFile([cellVar('c', Array.from({ length: 4199 }, () => member))]));
+    const c: any = mat.children[0];
     expect(thrownBy(() => copyOf(c))[0]).toBeNull();
+    // Taken out of the .mat to be edited: a member's column index is short of its columns, which
+    // MATLAB does not load, so the file takes no edit of it (MatFileWriter.freshRefusal); on its
+    // own, the node takes it, and is put back to be copied.
+    expect(c.children[0].children[0].setProperty('Value', '7')).toMatchObject({ error: true });
+    mat.removeChild(c);
     for (const m of c.children) expect(m.children[0].setProperty('Value', '7')).toBe(true);
+    mat.addChild(c);
     const [thrown, ms] = thrownBy(() => copyOf(c));
     expect([thrown?.name, thrown?.message, ms < 5000]).toEqual([
       'MatBudgetError',
diff --git a/test/complexMcosFixtures.test.ts b/test/complexMcosFixtures.test.ts
index 7f1f793c..595262a3 100644
--- a/test/complexMcosFixtures.test.ts
+++ b/test/complexMcosFixtures.test.ts
@@ -416,9 +416,37 @@ const editableIn = (p: unknown): unknown[] => {
   return seen;
 };
 const withoutEditable = (p: unknown): unknown => JSON.parse(JSON.stringify(p, (k, v) => (EDITABLE_KEYS.has(k) ? undefined : v)));
+// And the way the .mat's own may: its save writes an object only as it was read, so every row of
+// an object there, and of a variable holding one, is shown and not edited (MatNode._editRefusal),
+// where a model workspace and a binary dictionary edit it. So at such a path, and only there, the
+// .mat's side alone is taken as the file would present it without that rule (its gate answering
+// nothing, `ungated`), which the other venue is held to, editors and all, as it was before the
+// gate; and what the .mat presents is held to that with every editor taken out of both: the
+// flags, the Name and Value cells' own, and an editable column's cell (BaseNode.toRow), which is
+// its text when it takes none.
+const EDITABILITY_KEYS = new Set(['valueEditable', '_valueEditable', '_descriptionEditable']);
+const withoutEditability = (p: unknown): unknown =>
+  JSON.parse(
+    JSON.stringify(p, (k, v) => {
+      if (EDITABILITY_KEYS.has(k)) {
+        return undefined;
+      }
+      if (v && typeof v === 'object' && !Array.isArray(v) && 'editable' in v) {
+        return k === 'Name' || k === 'Value' ? { ...v, editable: undefined } : v.text;
+      }
+      return v;
+    }),
+  );
 
 describe('every value presents the same in the .mat as in each other venue that holds it', () => {
   const mat = MAT.variables();
+  const ungated = MAT.variables();
+  ungated._editRefusal = () => null;
+  // Whether the variable `path` is in, or under, is an object or holds one, by MATLAB's record.
+  const holdsObject = (path: string) => {
+    const root = path.split(/[.({]/)[0];
+    return Object.entries(MAT.truth.paths).some(([p, t]) => t.isobject && (p === root || /^[.({]/.test(p.slice(root.length)) && p.startsWith(root)));
+  };
   for (const fx of FIXTURES.slice(1)) {
     const variables = fx.variables();
     const shared = Object.keys(fx.truth.paths).filter((p) => {
@@ -427,6 +455,9 @@ describe('every value presents the same in the .mat as in each other venue that
     });
     it(`${fx.file} shares values with the .mat`, () => {
       expect(shared.length).toBeGreaterThan(0);
+      // Of objects, compared with the .mat as it would present them ungated, and plain values,
+      // compared with the .mat as it is.
+      expect([shared.some(holdsObject), shared.some((p) => !holdsObject(p))]).toEqual([true, true]);
     });
     for (const path of shared) {
       const pins = [pinnedAt(MAT.file, path), pinnedAt(fx.file, path)];
@@ -447,14 +478,22 @@ describe('every value presents the same in the .mat as in each other venue that
         if (text) {
           expect(editableIn(presentation(b, b.displayName)), `${path}: a MAT stream, display-only`).not.toContain(true);
         }
+        // What the other venue is held to: the .mat as it presents, or at an object's path as it
+        // would without its save's rule, of which the .mat's own differs only by its editors.
+        let mine = a;
+        if (holdsObject(path)) {
+          mine = nodeAt(ungated, path);
+          expect(withoutEditability(shown(a)), `${path}: the .mat, but for its editors`).toEqual(withoutEditability(shown(mine)));
+          expect(editableIn(presentation(a, a.displayName)), `${path}: the .mat's value of an object, display-only`).not.toContain(true);
+        }
         if (pins.some(Boolean)) {
           // A pinned venue is held to its pin, and an unpinned one has been graded against
           // MATLAB above; what is left to say is that the pin is still needed.
           [a, b].forEach((n, i) => pins[i] && expect(n.displayValue, path).toBe(pins[i]![2]));
-          expect(shown(b), `${path}: pinned, and no longer different`).not.toEqual(shown(a));
+          expect(shown(b), `${path}: pinned, and no longer different`).not.toEqual(shown(mine));
           return;
         }
-        expect(shown(b)).toEqual(shown(a));
+        expect(shown(b)).toEqual(shown(mine));
       });
     }
   }
diff --git a/test/complexTextWriteBack.test.ts b/test/complexTextWriteBack.test.ts
index f43a7862..462fb5f3 100644
--- a/test/complexTextWriteBack.test.ts
+++ b/test/complexTextWriteBack.test.ts
@@ -146,9 +146,14 @@ describe('an edited complex value keeps its class and its NaN parts', () => {
     const txt: any = ingest(session, fixture('complex.sldd'), { filename: 'complex.sldd' });
     const design = txt.getSection('design');
     // Edited before the copy: in the text dictionary the copied Value is a MAT stream, which
-    // is shown and not edited there (the C-012 ruling, 2026-10-15).
+    // is shown and not edited there (the C-012 ruling, 2026-10-15). And taken out of the .mat
+    // to be edited: its save writes an object only as it was read, so the file takes no edit of
+    // its properties (MatNode._editRefusal); on its own, the node takes it, and is put back to be copied.
     const source = mat.children.find((e: any) => e.name === name);
+    expect(source.children[0].children[k].setProperty('Value', typed)).toMatchObject({ error: true });
+    mat.removeChild(source);
     expect(source.children[0].children[k].setProperty('Value', typed)).toBe(true);
+    mat.addChild(source);
     const payload: any = JSON.parse(JSON.stringify(source.serialize()));
     payload.name = name + '_edited';
     payload.metadata = { ...design.children[0].metadata, uuid: '00000000-0000-4000-8000-0000000000ff' };
diff --git a/test/emptyCopiesReadback.test.ts b/test/emptyCopiesReadback.test.ts
new file mode 100644
index 00000000..deaab1aa
--- /dev/null
+++ b/test/emptyCopiesReadback.test.ts
@@ -0,0 +1,54 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// A copy of a struct array of no element with fields, and of a complex empty, pasted into a text
+// and a binary dictionary, as MATLAB reads it back: as `load` reads the .mat variable it was
+// copied from, its field names and its complexity kept, as an entry's value, a struct field and a
+// cell's element, copied as read and once marked edited.
+//
+// parity/matlab/empty_copies_readback.mjs makes the saves through core's API from MATLAB's own
+// variables (fixtures/display/dispcat.mat), into sparse_text.sldd and sparse_binary.sldd;
+// parity/matlab/probe_empty_copies_readback.m had MATLAB R2027a reopen them and wrote what it read,
+// beside what `load` reads of each variable, to parity/matlab/empty_copies_readback.truth.json.
+// This test makes the same saves from the package's source and asks that each value is still
+// written as MATLAB read it, so that a change to the spelling fails here until MATLAB is asked
+// again. test/emptyNamesAndComplexityCopy.test.ts holds the spellings and the other venues.
+import { describe, it, expect } from 'vitest';
+import { readFileSync } from 'node:fs';
+import { fileURLToPath } from 'node:url';
+import { createSession, ingest } from '../src/index.js';
+import { emptyCopiesReadback, PLACES, VARIABLES } from './parity/matlab/empty_copies_readback.mjs';
+import './../src/datamodel/node/data/NodeClassMap.js';
+
+type Shape = { class: string; size: number[]; isreal: boolean; fields: string[] };
+type Case = { file: string; format: string; variable: string; edited: boolean; place: string; entry: string; fragment: string; matlab: Shape | { error: string }; loaded: Shape };
+
+const at = (rel: string) => fileURLToPath(new URL(rel, import.meta.url));
+const TRUTH: { version: string; release: string; cases: Case[] } = JSON.parse(readFileSync(at('./parity/matlab/empty_copies_readback.truth.json'), 'utf8'));
+const read = (rel: string) => new Uint8Array(readFileSync(at('./fixtures/' + rel)));
+
+describe('a copy of an empty struct with fields, and of a complex empty, pasted into a dictionary, as MATLAB reads it back', () => {
+  const { cases } = emptyCopiesReadback({ createSession, ingest }, read);
+
+  it('MATLAB read every place of every save as load reads the variable', () => {
+    expect(TRUTH.release).toBe('2027a');
+    expect(TRUTH.cases.length).toBe(2 * VARIABLES.length * 2 * PLACES.length);
+    for (const c of TRUTH.cases) {
+      expect(c.matlab, `${c.file} ${c.entry} ${c.variable} ${c.place}`).toEqual(c.loaded);
+    }
+    // What load reads: field names for each struct, and complexity for each numeric empty.
+    const loaded = new Map(TRUTH.cases.map((c) => [c.variable, c.loaded]));
+    expect([...loaded.entries()].map(([v, s]) => [v, s.class, s.size, s.fields, s.class === 'struct' || s.isreal])).toEqual([
+      ['dx_struct_0x0_fields', 'struct', [0, 0], ['a'], true],
+      ['dx_struct_1x0', 'struct', [1, 0], ['a'], true],
+      ['dx_complex_0x0', 'double', [0, 0], [], false],
+      ['dx_complex_1x0', 'double', [1, 0], [], false],
+      ['dx_complex_int16_1x0', 'int16', [1, 0], [], false],
+      ['e_single_complex_1x0', 'single', [1, 0], [], false],
+    ]);
+  });
+
+  it('and core still writes the values MATLAB read', () => {
+    const asked = TRUTH.cases.map(({ file, format, variable, edited, place, entry, fragment }) => ({ file, format, variable, edited, place, entry, fragment }));
+    expect(cases).toEqual(asked);
+  });
+});
diff --git a/test/emptyNamesAndComplexityCopy.test.ts b/test/emptyNamesAndComplexityCopy.test.ts
new file mode 100644
index 00000000..63fe0440
--- /dev/null
+++ b/test/emptyNamesAndComplexityCopy.test.ts
@@ -0,0 +1,226 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// A struct array of no element keeps its field names, and an empty array its complexity,
+// wherever a value read out of MAT bytes goes: copied into a text or a binary dictionary, at
+// rank 2 and N-D, alone and as a member of a cell or a struct, edited or not, and written again
+// as a text dictionary's own stream.
+//
+// `struct('a', {})` is a 0x0 struct with a field `a`, and its names are all there is of it.
+// MatParser held `fields: {}` for a struct array of no element, so every writer wrote a struct
+// of no field: a .mat save (MATLAB R2027a loaded it with fieldnames {}, the live gate's
+// sibling_struct_field), a copy's MAT stream (cdata in a text dictionary), and a copy's bag,
+// which named its fields from its element rows, of which it has none (`<P Class="struct"
+// Dimension="0*0"/>` in a binary dictionary). And a complex empty is complex only by what it was
+// read as (MatlabVariableNode._elementType), which the writers did not ask: an edited N-D one's
+// stream was real, and a copy of a rank-2 one was the literal `[]`, which a binary dictionary
+// wrote as `Class="double" Dimension="0*0"`, losing its complexity, and a single's class and its
+// 0x3 with it.
+//
+// Where MATLAB has a spelling that keeps them, the copy is held to MATLAB's own bytes: a binary
+// dictionary's `<Field Name="a"/>` of an empty struct and `IsComplex="1"` of an empty
+// (dispcat_bin.sldd, written by MATLAB from the variables of dispcat.mat). MATLAB's own text
+// dictionary spells both as what loses them (`{"_type": "struct", "_value": "[]"}`, `[]`;
+// dispcat_text.sldd), so there a struct's copy is the bag of its names and an empty's its MAT
+// stream, which hold them. MATLAB R2027a reads each back, in both, as `load` reads the .mat
+// variable (test/emptyCopiesReadback.test.ts, parity/matlab/probe_empty_copies_readback.m).
+import { describe, it, expect } from 'vitest';
+import { readFileSync } from 'node:fs';
+import { fileURLToPath } from 'node:url';
+import { strFromU8, strToU8, unzipSync } from 'fflate';
+import { createSession } from '../src/index.js';
+import { ingest } from '../src/core/ingest.js';
+import { uudecode } from '../src/datamodel/parser/CdataCodec.js';
+import { CLASS, cellVar, matFile, numericVar, sparseVar, structVar } from './tools/matBytes.js';
+import { elementValue, type ElementValue } from './tools/matElements.js';
+import { BINARY, TEXT, copyOf, sparseFixture } from './tools/pasteVenues.js';
+import '../src/datamodel/node/data/NodeClassMap.js';
+
+/* eslint-disable @typescript-eslint/no-explicit-any */
+
+const fixture = (rel: string) => new Uint8Array(readFileSync(fileURLToPath(new URL('./fixtures/' + rel, import.meta.url))));
+const arrayBufferOf = (u8: Uint8Array) => u8.buffer.slice(u8.byteOffset, u8.byteOffset + u8.byteLength) as ArrayBuffer;
+
+const es = (dims: number[]) => structVar('', ['a', 'bb'], [], dims);
+const cx = (dims: number[], cls: number = CLASS.DOUBLE) => numericVar({ name: '', cls, dimensions: dims, real: [], imag: [] });
+const one = numericVar({ name: '', cls: CLASS.DOUBLE, dimensions: [1, 1], real: [1] });
+const sp = sparseVar({ name: '', dimensions: [1, 1], ir: [0], jc: [0, 1], real: [5] });
+
+// Every place a struct of no element and a complex empty can stand in a .mat.
+const FILE = matFile([
+  structVar('es00', ['a', 'bb'], [], [0, 0]),
+  structVar('es10', ['a', 'bb'], [], [1, 0]),
+  structVar('esNd', ['a', 'bb'], [], [0, 0, 2]),
+  numericVar({ name: 'cx00', cls: CLASS.DOUBLE, dimensions: [0, 0], real: [], imag: [] }),
+  numericVar({ name: 'cx03s', cls: CLASS.SINGLE, dimensions: [0, 3], real: [], imag: [] }),
+  numericVar({ name: 'cxNd', cls: CLASS.DOUBLE, dimensions: [0, 0, 2], real: [], imag: [] }),
+  cellVar('cNd', [es([0, 0]), cx([1, 0])], [1, 1, 2]),
+  cellVar('cSp', [es([0, 0]), cx([1, 0]), sp], [1, 3]),
+  structVar('s', ['es', 'cx', 'x', 'sp'], [{ es: es([0, 0]), cx: cx([0, 0]), x: one, sp }]),
+  structVar('sNd', ['es', 'cx'], [{ es: es([0, 0]), cx: cx([0, 0]) }, { es: es([1, 0]), cx: cx([0, 0], CLASS.INT16) }], [1, 1, 2]),
+]);
+
+/** The variable `name` of FILE, opened as a host opens it, marked edited first when `edited`. */
+function variable(name: string, edited = false): any {
+  const root: any = createSession().addMatSource('v.mat', FILE);
+  const node = root.children.find((c: any) => c.name === name);
+  if (edited) {
+    // The mark an edit and its undo leave (DataNode._valueEdited): the value rebuilt from its rows.
+    node._markModified();
+  }
+  return node;
+}
+
+/** What a MAT stream (a cdata `_value`) holds, read by the test's own walker. */
+const streamOf = (cdata: { _value: string }): ElementValue => elementValue(uudecode(cdata._value).subarray(8));
+
+let seq = 0;
+
+/**
+ * `value` pasted into a fresh `file`, saved and opened again: the entry's value as written (the
+ * JSON of a text dictionary's entry; a binary one's `<P Name="Value" …>` block, whitespace
+ * folded) and the entry reopened.
+ */
+function pasteSaved(file: string, value: unknown): { written: any; entry: any } {
+  const session = createSession();
+  const root: any = ingest(session, sparseFixture(file), { filename: file });
+  root.getSection('design').parseEntry({ name: 'pasted', metadata: { uuid: `00000000-0000-4000-e900-${String(++seq).padStart(12, '0')}` }, value });
+  const out = session.serializeSource(root.name)!;
+  const bytes = out.kind === 'text' ? strToU8(out.text!) : out.bytes!;
+  let written: any;
+  if (out.kind === 'text') {
+    const find = (x: any): any => (x && typeof x === 'object' ? (x.name === 'pasted' && 'value' in x ? x : Object.values(x).map(find).find(Boolean)) : null);
+    written = find(JSON.parse(out.text!)).value;
+  } else {
+    written = valueBlock(strFromU8(unzipSync(bytes)['data/chunk0.xml']), 'pasted');
+  }
+  const reopened: any = ingest(createSession(), arrayBufferOf(bytes), { filename: file });
+  return { written, entry: reopened.getSection('design').children.find((e: any) => e.name === 'pasted') };
+}
+
+/** An entry's `<P Name="Value" …>` block in a binary dictionary's chunk, whitespace folded. */
+function valueBlock(xml: string, entry: string): string {
+  const at = xml.indexOf('<P Name="Name" Class="char">' + entry + '</P>');
+  expect(at, entry).toBeGreaterThan(-1);
+  const from = xml.indexOf('<P Name="Value"', at);
+  return xml.slice(from, xml.indexOf('</Object>', from)).replace(/\s+/g, ' ').trim();
+}
+
+describe("a .mat's struct array of no element and complex empty, copied into a text dictionary", () => {
+  for (const edited of [false, true]) {
+    const as = edited ? ', edited' : '';
+
+    it(`a rank-2 struct of no element is the bag of its field names${as}`, () => {
+      for (const [name, dims] of [['es00', [0, 0]], ['es10', [1, 0]]] as const) {
+        const copy = copyOf(variable(name, edited));
+        // The bag the binary reader makes of MATLAB's `<Field Name="…"/>` (BinarySlddParser.structValue).
+        expect(copy, name).toEqual({ _array_type: 'Struct', _dimensions: dims, _elements: [], _fields: ['a', 'bb'], _mw_element_type: 'MATLABArray' });
+        const { written, entry } = pasteSaved(TEXT, copy);
+        expect(written, name).toEqual(copy);
+        expect([entry.className, entry.dims, entry.serial._fields, entry.children.length], name).toEqual(['struct', dims, ['a', 'bb'], 0]);
+      }
+    });
+
+    it(`an N-D one, and one in an N-D cell or struct, is a stream holding its names${as}`, () => {
+      const esNd = copyOf(variable('esNd', edited)) as any;
+      expect(streamOf(esNd)).toMatchObject({ cls: CLASS.STRUCT, dims: [0, 0, 2], fields: ['a', 'bb'], members: [] });
+      const cNd = streamOf(copyOf(variable('cNd', edited)) as any);
+      expect(cNd.members!.map((m) => [m.cls, m.dims, m.fields, m.complex])).toEqual([
+        [CLASS.STRUCT, [0, 0], ['a', 'bb'], false],
+        [CLASS.DOUBLE, [1, 0], undefined, true],
+      ]);
+      const sNd = streamOf(copyOf(variable('sNd', edited)) as any);
+      expect(sNd.fields).toEqual(['es', 'cx']);
+      expect(sNd.members!.map((m) => [m.cls, m.dims, m.fields, m.complex])).toEqual([
+        [CLASS.STRUCT, [0, 0], ['a', 'bb'], false],
+        [CLASS.DOUBLE, [0, 0], undefined, true],
+        [CLASS.STRUCT, [1, 0], ['a', 'bb'], false],
+        [CLASS.INT16, [0, 0], undefined, true],
+      ]);
+      // Written as pasted, and read back so.
+      const { written, entry } = pasteSaved(TEXT, esNd);
+      expect(written).toEqual(esNd);
+      expect([entry.className, entry.dims, entry._emptyStructFields]).toEqual(['struct', [0, 0, 2], ['a', 'bb']]);
+    });
+
+    it(`a complex empty is a stream that says complex, at every rank and class${as}`, () => {
+      for (const [name, cls, dims, column] of [
+        ['cx00', CLASS.DOUBLE, [0, 0], 'double (complex)'],
+        ['cx03s', CLASS.SINGLE, [0, 3], 'single (complex)'],
+        ['cxNd', CLASS.DOUBLE, [0, 0, 2], 'double (complex)'],
+      ] as const) {
+        const copy = copyOf(variable(name, edited)) as any;
+        expect(copy._type, name).toBe('cdata');
+        expect(streamOf(copy), name).toMatchObject({ cls, dims, complex: true, re: [], im: [] });
+        const { written, entry } = pasteSaved(TEXT, copy);
+        expect(written, name).toEqual(copy);
+        expect([entry.className, entry.dims, entry._classColumn()], name).toEqual([cls === CLASS.SINGLE ? 'single' : 'double', dims, column]);
+      }
+    });
+
+    it(`and as a member of a rank-2 cell or struct, each as itself${as}`, () => {
+      const cSp = copyOf(variable('cSp', edited)) as any;
+      expect(cSp._elements[0]).toEqual({ _array_type: 'Struct', _dimensions: [0, 0], _elements: [], _fields: ['a', 'bb'], _mw_element_type: 'MATLABArray' });
+      expect(streamOf(cSp._elements[1])).toMatchObject({ cls: CLASS.DOUBLE, dims: [1, 0], complex: true });
+      const s = copyOf(variable('s', edited)) as any;
+      expect(s._elements[0].es._fields).toEqual(['a', 'bb']);
+      expect(streamOf(s._elements[0].cx)).toMatchObject({ cls: CLASS.DOUBLE, dims: [0, 0], complex: true });
+    });
+  }
+});
+
+describe('copied into a binary dictionary, as MATLAB spells each there', () => {
+  // MATLAB's own spelling of dispcat.mat's variables, in the binary dictionary it wrote of them.
+  const matlab = strFromU8(unzipSync(fixture('display/dispcat_bin.sldd'))['data/chunk0.xml']);
+  const dispcat = () => createSession().addMatSource('dispcat.mat', arrayBufferOf(fixture('display/dispcat.mat'))) as any;
+
+  for (const edited of [false, true]) {
+    it(`each of dispcat.mat's empties is the Value block MATLAB wrote for it${edited ? ', edited' : ''}`, () => {
+      for (const name of ['dx_struct_0x0', 'dx_struct_0x0_fields', 'dx_struct_1x0', 'dx_complex_0x0', 'dx_complex_1x0', 'dx_complex_int16_1x0', 'e_single_complex_1x0']) {
+        const node = dispcat().children.find((c: any) => c.name === name);
+        if (edited) {
+          node._markModified();
+        }
+        const { written } = pasteSaved(BINARY, copyOf(node));
+        expect(written, name).toBe(valueBlock(matlab, name));
+      }
+    });
+  }
+
+  it('and the empties a cell or a struct holds, read back as they were', () => {
+    const { written: cell, entry: c } = pasteSaved(BINARY, copyOf(variable('cSp', true)));
+    expect(cell).toContain('<Element Class="struct" Dimension="0*0"> <Field Name="a"/> <Field Name="bb"/> </Element>');
+    expect(cell).toContain('<Element Class="double" IsComplex="1" Dimension="1*0"/>');
+    expect([c.children[0].className, c.children[0].dims, c.children[0].serial._fields]).toEqual(['struct', [0, 0], ['a', 'bb']]);
+    expect([c.children[1].dims, c.children[1]._classColumn()]).toEqual([[1, 0], 'double (complex)']);
+
+    const { written: struct, entry: s } = pasteSaved(BINARY, copyOf(variable('s', true)));
+    expect(struct).toContain('<P Name="es" Class="struct" Dimension="0*0"> <Field Name="a"/> <Field Name="bb"/> </P>');
+    expect(struct).toContain('<P Name="cx" Class="double" IsComplex="1" Dimension="0*0"/>');
+    const field = (n: string) => s.children.find((f: any) => f.name === n);
+    expect([field('es').serial._fields, field('cx')._classColumn()]).toEqual([['a', 'bb'], 'double (complex)']);
+
+    const { written: nd } = pasteSaved(BINARY, copyOf(variable('sNd', true)));
+    expect(nd).toContain('<P Name="es" Class="struct" Dimension="1*0"> <Field Name="a"/> <Field Name="bb"/> </P>');
+    expect(nd).toContain('<P Name="cx" Class="int16" IsComplex="1" Dimension="0*0"/>');
+  });
+});
+
+describe("a text dictionary's own stream of them, written again", () => {
+  it('keeps the names and the complexity, unedited and once rebuilt from its rows', () => {
+    // A text dictionary holding cNd as the stream a copy writes for it, as one saved before.
+    const { entry } = pasteSaved(TEXT, copyOf(variable('cNd')));
+    const raw = entry._rawInput;
+    expect(entry._readFromStream).toBe(true);
+    // Unedited, it is written as the stream it was read from.
+    expect(entry.serializeValue()).toBe(raw);
+    // Rebuilt from its rows (what a value edit leaves, though the editor takes none here: a text
+    // dictionary's stream is shown and not edited), the stream MatWriter writes holds them too.
+    entry._markModified();
+    const again = entry.serializeValue() as any;
+    expect(again).not.toBe(raw);
+    expect(streamOf(again).members!.map((m) => [m.cls, m.dims, m.fields, m.complex])).toEqual([
+      [CLASS.STRUCT, [0, 0], ['a', 'bb'], false],
+      [CLASS.DOUBLE, [1, 0], undefined, true],
+    ]);
+  });
+});
diff --git a/test/fixtures/global/global_v6.mat b/test/fixtures/global/global_v6.mat
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diff --git a/test/fixtures/global/global_v7.mat b/test/fixtures/global/global_v7.mat
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diff --git a/test/fixtures/global/make_global_fixtures.m b/test/fixtures/global/make_global_fixtures.m
new file mode 100644
index 00000000..b13cae77
--- /dev/null
+++ b/test/fixtures/global/make_global_fixtures.m
@@ -0,0 +1,99 @@
+function make_global_fixtures(outDir)
+  % Copyright 2026 The MathWorks, Inc.
+  % Authors global_v7.mat and global_v6.mat: variables declared global, saved by MATLAB's own
+  % `save`, beside one that is not. test/matGlobal.test.ts and the MAT-file gate
+  % (test/parity/matlab/probe_mat_writeback) read them. Run:
+  %
+  %   mw -using Bmain matlab -nodesktop -batch "make_global_fixtures('/tmp/globals')"
+  %
+  % with this folder on the path, then copy the two files here. `outDir` must be a temp folder:
+  % the function cds there before it writes anything.
+  %
+  % WHAT IT MEASURES. `save` marks a variable declared global by bit 0x04 of its array flags'
+  % flags byte (the flags word 0x0406 for a global double), on the top-level element alone; it
+  % prints the -v6 file's every element's flags as it finds them (FLAGS lines: depth, class,
+  % flags byte; the -v7 file's records are compressed, and test/matGlobal.test.ts reads them),
+  % and what MATLAB reads back of both: `whos -file`'s global attribute, and the globals a
+  % `load` inside a function declares (GLOBAL lines). Measured on R2027a: 04 on every global
+  % top-level element, 00 on every element nested in one.
+  cd(outDir);
+  clear global
+  global gD gS gC gI %#ok<GVMIS>
+  gD = [1 2 3];
+  gS = struct('a', 1, 'b', {{2, 'x'}});
+  gC = {4, int8(5), struct('q', 6)};
+  gI = int16(-7);
+  plain = 9; %#ok<NASGU>
+  save('global_v7.mat', 'gD', 'gS', 'gC', 'gI', 'plain', '-v7');
+  save('global_v6.mat', 'gD', 'gS', 'gC', 'gI', 'plain', '-v6');
+  clear global
+  for f = {'global_v7.mat', 'global_v6.mat'}
+    w = whos('-file', f{1});
+    fprintf('GLOBAL whos %s %s\n', f{1}, strjoin(arrayfun(@(x) sprintf('%s=%d', x.name, x.global), w, 'UniformOutput', false), ' '));
+    fprintf('GLOBAL load %s %s\n', f{1}, strjoin(globalsLoaded(f{1}), ' '));
+  end
+  fprintf('FLAGS global_v6.mat %s\n', strjoin(flagsOf('global_v6.mat'), ' '));
+  fprintf('MAKE_GLOBAL_FIXTURES_DONE %s\n', version);
+end
+
+% The globals `load` declares inside a function: every variable the file marks global.
+function names = globalsLoaded(fixtureFile__)
+  clear global
+  load(fixtureFile__); %#ok<LOAD>
+  w__ = whos('global');
+  names = sort({w__.name});
+  clear global
+end
+
+% The flags byte of every miMATRIX element of an uncompressed (-v6) file, nested ones included,
+% as `d<depth>/c<class>:<flags>` in file order.
+function out = flagsOf(f)
+  out = {};
+  fid = fopen(f, 'r');
+  b = fread(fid, Inf, '*uint8')';
+  fclose(fid);
+  at = 129;
+  while at + 7 <= numel(b)
+    n = double(typecast(b(at+4:at+7), 'uint32'));
+    out = [out, walk(b(at:at+7+n), 1, 0)]; %#ok<AGROW>
+    at = at + 8 + n + mod(8 - mod(n, 8), 8);
+  end
+end
+
+function out = walk(el, at, depth)
+  out = {};
+  n = double(typecast(el(at+4:at+7), 'uint32'));
+  flags = el(at+17);
+  cls = el(at+16);
+  out{end+1} = sprintf('d%d/c%d:%02x', depth, cls, flags);
+  % Members: past flags (16), dims, name; a cell's members follow, a struct's after its two
+  % name sub-elements.
+  p = at + 8 + 16;
+  for k = 1:2
+    [len, small] = subLen(el, p);
+    if small, p = p + 8; else, p = p + 8 + len + mod(8 - mod(len, 8), 8); end
+  end
+  if cls == 2
+    for k = 1:2
+      [len, small] = subLen(el, p);
+      if small, p = p + 8; else, p = p + 8 + len + mod(8 - mod(len, 8), 8); end
+    end
+  end
+  if cls == 1 || cls == 2
+    stop = at + 8 + n;
+    while p < stop
+      out = [out, walk(el, p, depth + 1)]; %#ok<AGROW>
+      p = p + 8 + double(typecast(el(p+4:p+7), 'uint32'));
+    end
+  end
+end
+
+function [len, small] = subLen(el, p)
+  w = typecast(el(p:p+3), 'uint32');
+  small = bitshift(w, -16) ~= 0;
+  if small
+    len = double(bitshift(w, -16));
+  else
+    len = double(typecast(el(p+4:p+7), 'uint32'));
+  end
+end
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index 00000000..d4330190
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index 00000000..134b3872
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index 00000000..d4f55fe6
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index 00000000..f2b709b1
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index 00000000..95c8fab8
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index 00000000..190d1c98
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index 00000000..8a1884ef
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diff --git a/test/fixtures/mat-check/subsystem-offset-at-first-variable.mat b/test/fixtures/mat-check/subsystem-offset-at-first-variable.mat
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diff --git a/test/fixtures/mat-check/trailing-zeros-after-subsystem.mat b/test/fixtures/mat-check/trailing-zeros-after-subsystem.mat
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diff --git a/test/fixtures/mat-check/uncompressed-trailing-8-zeros.mat b/test/fixtures/mat-check/uncompressed-trailing-8-zeros.mat
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index 00000000..cf4f6e68
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diff --git a/test/fixtures/mat-check/variable-after-subsystem.mat b/test/fixtures/mat-check/variable-after-subsystem.mat
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index 00000000..4c38c70e
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diff --git a/test/fixtures/mat-check/verdicts.json b/test/fixtures/mat-check/verdicts.json
new file mode 100644
index 00000000..9429d32b
--- /dev/null
+++ b/test/fixtures/mat-check/verdicts.json
@@ -0,0 +1,833 @@
+[
+  {
+    "file": "matlab-plain.mat",
+    "probe": "base_plain",
+    "matlab": "loads",
+    "what": "MATLAB -v7 save of 17 plain variables: numeric, logical, complex, char, empty, struct, struct array, cell, sparse",
+    "codes": []
+  },
+  {
+    "file": "matlab-objects.mat",
+    "probe": "base_obj",
+    "matlab": "loads",
+    "what": "MATLAB -v7 save of four plain variables and four objects (string, containers.Map, a handle class, Simulink.Parameter), then the subsystem",
+    "codes": []
+  },
+  {
+    "file": "matlab-two-handles.mat",
+    "probe": "base_twoobj",
+    "matlab": "loads",
+    "what": "MATLAB -v7 save of two handle objects and two doubles",
+    "codes": []
+  },
+  {
+    "file": "matlab-shared-handle.mat",
+    "probe": "base_shared",
+    "matlab": "loads",
+    "what": "MATLAB -v7 save of two variables holding one handle, and a double",
+    "codes": []
+  },
+  {
+    "file": "matlab-strings.mat",
+    "probe": "base_strings",
+    "matlab": "loads",
+    "what": "MATLAB -v7 save of two strings and two plain variables",
+    "codes": []
+  },
+  {
+    "file": "matlab-one-double.mat",
+    "probe": "base_none",
+    "matlab": "loads",
+    "what": "MATLAB -v7 save of one double, no subsystem",
+    "codes": []
+  },
+  {
+    "file": "matlab-append-objects-replaced.mat",
+    "probe": "step05",
+    "matlab": "loads",
+    "what": "MATLAB save -append run five times, replacing objects: orphaned objects in the subsystem",
+    "codes": []
+  },
+  {
+    "file": "matlab-append-v6-onto-v7.mat",
+    "probe": "step13",
+    "matlab": "loads",
+    "what": "MATLAB save -append -v6 onto a -v7 file: plain records at unaligned offsets after compressed ones",
+    "codes": []
+  },
+  {
+    "file": "matlab-append-onto-uncompressed.mat",
+    "probe": "C_dex_raw_appended",
+    "matlab": "loads",
+    "what": "MATLAB save -append of a new variable onto a file of uncompressed records",
+    "codes": []
+  },
+  {
+    "file": "matlab-append-replacing-variable.mat",
+    "probe": "C_dex_raw_replace_d_int",
+    "matlab": "loads",
+    "what": "MATLAB save -append replacing a variable in a file of uncompressed records",
+    "codes": []
+  },
+  {
+    "file": "matlab-append-revives-hidden-variable.mat",
+    "probe": "C_hidden_after_subsys_appended",
+    "matlab": "loads",
+    "what": "MATLAB save -append onto a file holding a variable after its subsystem: MATLAB moves it before the new subsystem",
+    "codes": []
+  },
+  {
+    "file": "matlab-append-onto-orphans.mat",
+    "probe": "C_orphan_appended",
+    "matlab": "loads",
+    "what": "MATLAB save -append onto a file whose subsystem holds an orphaned object",
+    "codes": []
+  },
+  {
+    "file": "plain-uncompressed.mat",
+    "probe": "B1_base_plain_allraw",
+    "matlab": "loads",
+    "what": "matlab-plain.mat with every record inflated to a plain miMATRIX",
+    "codes": []
+  },
+  {
+    "file": "objects-uncompressed.mat",
+    "probe": "B1_base_obj_allraw",
+    "matlab": "loads",
+    "what": "matlab-objects.mat with every record inflated, the subsystem too, its offset recomputed",
+    "codes": []
+  },
+  {
+    "file": "plain-mixed-compression-unaligned.mat",
+    "probe": "B2a_plain_alternate",
+    "matlab": "loads",
+    "what": "matlab-plain.mat with records alternately compressed and plain, so plain ones sit at unaligned offsets",
+    "codes": []
+  },
+  {
+    "file": "objects-mixed-compression.mat",
+    "probe": "B2b_obj_alternate_subsys_z",
+    "matlab": "loads",
+    "what": "matlab-objects.mat with variables alternately plain and compressed, the subsystem compressed",
+    "codes": []
+  },
+  {
+    "file": "objects-plain-subsystem.mat",
+    "probe": "B2c_obj_vars_z_subsys_raw",
+    "matlab": "loads",
+    "what": "matlab-objects.mat with the subsystem inflated to a plain record",
+    "codes": []
+  },
+  {
+    "file": "objects-plain-variables.mat",
+    "probe": "B2d_obj_vars_raw_subsys_z",
+    "matlab": "loads",
+    "what": "matlab-objects.mat with every variable plain and the subsystem compressed",
+    "codes": []
+  },
+  {
+    "file": "plain-compressed-zero-padded.mat",
+    "probe": "B2e_plain_z_padded8",
+    "matlab": "fails",
+    "what": "matlab-plain.mat with each compressed record zero-padded to 8 bytes",
+    "matlabSays": "Unable to open MAT-file. File might be corrupt. (MATLAB:load:unableToReadMatFile)",
+    "codes": [
+      "framing"
+    ]
+  },
+  {
+    "file": "objects-compressed-zero-padded.mat",
+    "probe": "B2f_obj_z_padded8",
+    "matlab": "fails",
+    "what": "matlab-objects.mat with each compressed record zero-padded to 8 bytes, the offset recomputed",
+    "matlabSays": "Unable to open MAT-file. File might be corrupt. (MATLAB:load:unableToReadMatFile)",
+    "codes": [
+      "framing"
+    ]
+  },
+  {
+    "file": "plain-zlib-level0.mat",
+    "probe": "B3_base_plain_z0",
+    "matlab": "loads",
+    "what": "matlab-plain.mat recompressed at zlib level 0 (stored blocks)",
+    "codes": []
+  },
+  {
+    "file": "plain-zlib-level1.mat",
+    "probe": "B3_base_plain_z1",
+    "matlab": "loads",
+    "what": "matlab-plain.mat recompressed at zlib level 1",
+    "codes": []
+  },
+  {
+    "file": "plain-zlib-level9.mat",
+    "probe": "B3_base_plain_z9",
+    "matlab": "loads",
+    "what": "matlab-plain.mat recompressed at zlib level 9",
+    "codes": []
+  },
+  {
+    "file": "objects-zlib-level9.mat",
+    "probe": "B3_base_obj_z9",
+    "matlab": "loads",
+    "what": "matlab-objects.mat recompressed at zlib level 9",
+    "codes": []
+  },
+  {
+    "file": "header-text-other-writer.mat",
+    "probe": "B4a_text_dex",
+    "matlab": "loads",
+    "what": "matlab-objects.mat with header text \"MATLAB 5.0 MAT-file, written by data-explorer-core\"",
+    "codes": []
+  },
+  {
+    "file": "header-text-no-matlab-prefix.mat",
+    "probe": "B4b_text_noprefix",
+    "matlab": "loads",
+    "what": "header text not opening with \"MATLAB\"",
+    "codes": []
+  },
+  {
+    "file": "header-text-nul-padded.mat",
+    "probe": "B4d_text_nulpad",
+    "matlab": "loads",
+    "what": "header text padded with NUL bytes instead of spaces",
+    "codes": []
+  },
+  {
+    "file": "header-text-all-nul.mat",
+    "probe": "B4e_text_allnul",
+    "matlab": "fails",
+    "what": "header text all NUL bytes",
+    "matlabSays": "Unable to open MAT-file. File might be corrupt. (MATLAB:load:unableToReadMatFile)",
+    "codes": [
+      "level4-lookalike"
+    ]
+  },
+  {
+    "file": "deleted-variable-offset-recomputed.mat",
+    "probe": "B5_recompute",
+    "matlab": "loads",
+    "what": "matlab-objects.mat minus a plain variable, the subsystem offset recomputed",
+    "codes": []
+  },
+  {
+    "file": "stale-subsystem-offset.mat",
+    "probe": "B5_stale",
+    "matlab": "fails",
+    "what": "the same, with the subsystem offset left stale",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "anonymous-record",
+      "subsystem-offset"
+    ]
+  },
+  {
+    "file": "zero-subsystem-offset.mat",
+    "probe": "B5_zero",
+    "matlab": "fails",
+    "what": "the same, with the subsystem offset zeroed",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "anonymous-record",
+      "subsystem-offset"
+    ]
+  },
+  {
+    "file": "spaces-subsystem-offset.mat",
+    "probe": "B5_spaces",
+    "matlab": "fails",
+    "what": "the same, with the subsystem offset eight spaces",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "anonymous-record",
+      "subsystem-offset"
+    ]
+  },
+  {
+    "file": "subsystem-offset-at-first-variable.mat",
+    "probe": "B5_off128",
+    "matlab": "fails",
+    "what": "the same, with the subsystem offset pointing at the first variable",
+    "matlabSays": "Unable to read file (MATLAB:load:notBinaryFile)",
+    "codes": [
+      "anonymous-record",
+      "subsystem-offset"
+    ]
+  },
+  {
+    "file": "deleted-object-orphan.mat",
+    "probe": "B6_base_obj_minus_ph",
+    "matlab": "loads",
+    "what": "matlab-objects.mat minus one object variable, the subsystem verbatim (an orphan)",
+    "codes": []
+  },
+  {
+    "file": "deleted-every-object-variable.mat",
+    "probe": "B6_base_obj_minus_s1_mp_ph_sparam",
+    "matlab": "loads",
+    "what": "matlab-objects.mat minus all four object variables, the subsystem verbatim",
+    "codes": []
+  },
+  {
+    "file": "deleted-one-of-two-handles.mat",
+    "probe": "B6_base_twoobj_minus_o1",
+    "matlab": "loads",
+    "what": "matlab-two-handles.mat minus one handle",
+    "codes": []
+  },
+  {
+    "file": "deleted-shared-handle-copy.mat",
+    "probe": "B6_base_shared_minus_q1",
+    "matlab": "loads",
+    "what": "matlab-shared-handle.mat minus one of the two variables holding the handle",
+    "codes": []
+  },
+  {
+    "file": "deleted-one-string.mat",
+    "probe": "B6_base_strings_minus_s1",
+    "matlab": "loads",
+    "what": "matlab-strings.mat minus one string",
+    "codes": []
+  },
+  {
+    "file": "deleted-objects-and-subsystem.mat",
+    "probe": "B6_base_obj_plain_only_nosubsys",
+    "matlab": "loads",
+    "what": "matlab-objects.mat minus every object and the subsystem, the offset zeroed",
+    "codes": []
+  },
+  {
+    "file": "renamed-plain-variable.mat",
+    "probe": "B7_rename_d_int",
+    "matlab": "loads",
+    "what": "a plain variable renamed by rewriting only its name, recompressed",
+    "codes": []
+  },
+  {
+    "file": "renamed-object-variable.mat",
+    "probe": "B7_rename_ph",
+    "matlab": "loads",
+    "what": "an object variable renamed by rewriting only its name, recompressed",
+    "codes": []
+  },
+  {
+    "file": "renamed-parameter.mat",
+    "probe": "B7_rename_sparam",
+    "matlab": "loads",
+    "what": "a Simulink.Parameter variable renamed to a one-letter name",
+    "codes": []
+  },
+  {
+    "file": "renamed-uncompressed-object-variable.mat",
+    "probe": "B7_rename_twoobj_o1",
+    "matlab": "loads",
+    "what": "a handle variable renamed and written as a plain record",
+    "codes": []
+  },
+  {
+    "file": "reordered-variables.mat",
+    "probe": "B8a_reversed",
+    "matlab": "loads",
+    "what": "matlab-objects.mat with its variables reversed, the subsystem last",
+    "codes": []
+  },
+  {
+    "file": "variable-after-subsystem.mat",
+    "probe": "B8b_plain_after_subsys",
+    "matlab": "drops",
+    "what": "a plain variable moved after the subsystem, the offset recomputed",
+    "matlabSays": "loads; d_scalar silently missing (whos -file still lists it)",
+    "codes": [
+      "subsystem-not-last"
+    ]
+  },
+  {
+    "file": "subsystem-first.mat",
+    "probe": "B8c_subsys_first",
+    "matlab": "drops",
+    "what": "the subsystem moved first, the offset 128",
+    "matlabSays": "loads no variables, with no error",
+    "codes": [
+      "subsystem-not-last"
+    ]
+  },
+  {
+    "file": "objects-first-reordered.mat",
+    "probe": "B8d_objects_first_reversed",
+    "matlab": "loads",
+    "what": "object variables first, then plain ones, the subsystem last",
+    "codes": []
+  },
+  {
+    "file": "subsystem-in-middle.mat",
+    "probe": "B8e_subsys_middle",
+    "matlab": "drops",
+    "what": "the subsystem moved after three plain variables, the offset recomputed",
+    "matlabSays": "loads only the three variables before the subsystem",
+    "codes": [
+      "subsystem-not-last"
+    ]
+  },
+  {
+    "file": "added-variable-after-subsystem.mat",
+    "probe": "B9a_append_after_subsys",
+    "matlab": "drops",
+    "what": "a new plain variable appended after the subsystem",
+    "matlabSays": "loads; \"added\" silently missing",
+    "codes": [
+      "subsystem-not-last"
+    ]
+  },
+  {
+    "file": "added-variable-before-subsystem.mat",
+    "probe": "B9b_insert_before_subsys",
+    "matlab": "loads",
+    "what": "a new plain variable inserted before the subsystem, the offset recomputed",
+    "codes": []
+  },
+  {
+    "file": "added-variable-stale-offset.mat",
+    "probe": "B9c_insert_before_subsys_stale",
+    "matlab": "fails",
+    "what": "a new plain variable inserted before the subsystem, the offset left stale",
+    "matlabSays": "Unable to read file (MATLAB:load:notBinaryFile)",
+    "codes": [
+      "anonymous-record",
+      "subsystem-offset"
+    ]
+  },
+  {
+    "file": "added-variable-no-subsystem.mat",
+    "probe": "B9d_append_to_plain",
+    "matlab": "loads",
+    "what": "a new plain variable appended to a file with no subsystem",
+    "codes": []
+  },
+  {
+    "file": "duplicate-name-later-copy.mat",
+    "probe": "B10a_dup_last",
+    "matlab": "loads",
+    "what": "a second d_scalar (99) appended after the first (3.5)",
+    "matlabSays": "loads d_scalar = 99: load(f) keeps the last copy",
+    "codes": [
+      "duplicate-name"
+    ],
+    "deliberate": "ambiguous: load(f) keeps the last copy and load(f, name) the first"
+  },
+  {
+    "file": "duplicate-name-earlier-copy.mat",
+    "probe": "B10b_dup_first",
+    "matlab": "loads",
+    "what": "a second d_scalar (99) placed before the first (3.5)",
+    "matlabSays": "loads d_scalar = 3.5: load(f) keeps the last copy",
+    "codes": [
+      "duplicate-name"
+    ],
+    "deliberate": "ambiguous: load(f) keeps the last copy and load(f, name) the first"
+  },
+  {
+    "file": "duplicate-object-names.mat",
+    "probe": "B10c_dup_object_names",
+    "matlab": "loads",
+    "what": "two string variables of one name",
+    "matlabSays": "loads the later one",
+    "codes": [
+      "duplicate-name"
+    ],
+    "deliberate": "ambiguous: load(f) keeps the last copy and load(f, name) the first"
+  },
+  {
+    "file": "name-63-chars.mat",
+    "probe": "B11a_name63",
+    "matlab": "loads",
+    "what": "a variable name of 63 characters",
+    "codes": []
+  },
+  {
+    "file": "name-70-chars.mat",
+    "probe": "B11c_name70",
+    "matlab": "loads",
+    "what": "a variable name of 70 characters (namelengthmax is 2048 in this MATLAB)",
+    "codes": []
+  },
+  {
+    "file": "name-leading-digit.mat",
+    "probe": "B11d_name_digit",
+    "matlab": "fails",
+    "what": "a variable named '1abc'",
+    "matlabSays": "S = load(f): Invalid field name: '1abc'. (MATLAB:AddField:InvalidFieldName); load(f) skips it",
+    "codes": [
+      "name"
+    ]
+  },
+  {
+    "file": "name-with-space.mat",
+    "probe": "B11e_name_space",
+    "matlab": "fails",
+    "what": "a variable named 'has space'",
+    "matlabSays": "S = load(f): Invalid field name: 'has space'. (MATLAB:AddField:InvalidFieldName)",
+    "codes": [
+      "name"
+    ]
+  },
+  {
+    "file": "name-non-ascii-utf8.mat",
+    "probe": "F1_name_utf8",
+    "matlab": "fails",
+    "what": "a variable named 'café' in UTF-8",
+    "matlabSays": "S = load(f): Invalid field name: 'café'. (MATLAB:AddField:InvalidFieldName)",
+    "codes": [
+      "name"
+    ]
+  },
+  {
+    "file": "name-empty.mat",
+    "probe": "B11f_name_empty",
+    "matlab": "drops",
+    "what": "a plain variable with an empty name, after a named one",
+    "matlabSays": "loads only the named variable; whos -file omits the unnamed one",
+    "codes": [
+      "anonymous-record"
+    ]
+  },
+  {
+    "file": "name-keyword.mat",
+    "probe": "B11g_name_keyword",
+    "matlab": "alters",
+    "what": "a variable named 'end'",
+    "matlabSays": "loads it as end_, warning MATLAB:load:loadingKeywordVariable",
+    "codes": [
+      "name"
+    ]
+  },
+  {
+    "file": "non-utf8-name.mat",
+    "probe": "B11h_name_latin1",
+    "matlab": "fails",
+    "what": "a variable named 'caf' and the Latin-1 byte e9: not UTF-8",
+    "matlabSays": "MATLAB crashes (an assertion on a non-UTF-8 string), in S = load(f) and in whos -file",
+    "codes": [
+      "name"
+    ]
+  },
+  {
+    "file": "double-integer-storage-types.mat",
+    "probe": "B12_numeric_types",
+    "matlab": "loads",
+    "what": "doubles stored as miDOUBLE, miINT32, miINT16 and miUINT8, plain records",
+    "codes": []
+  },
+  {
+    "file": "double-integer-storage-types-compressed.mat",
+    "probe": "B12z_numeric_types",
+    "matlab": "loads",
+    "what": "the same, compressed",
+    "codes": []
+  },
+  {
+    "file": "struct-wide-field-names.mat",
+    "probe": "B13_struct_fnlen",
+    "matlab": "loads",
+    "what": "a struct with field-name length 3, 8, 32, 64 and 128",
+    "codes": []
+  },
+  {
+    "file": "struct-field-name-length-too-small.mat",
+    "probe": "B13b_struct_fnlen_too_small",
+    "matlab": "loads",
+    "what": "a struct with field-name length 2, leaving no room for the NUL after \"bb\"",
+    "codes": []
+  },
+  {
+    "file": "char-ascii-utf8.mat",
+    "probe": "B14_ch_utf8",
+    "matlab": "loads",
+    "what": "'abc' as miUTF8",
+    "codes": []
+  },
+  {
+    "file": "char-ascii-uint16.mat",
+    "probe": "B14_ch_u16",
+    "matlab": "loads",
+    "what": "'abc' as miUINT16",
+    "codes": []
+  },
+  {
+    "file": "char-ascii-utf16.mat",
+    "probe": "B14_ch_utf16",
+    "matlab": "loads",
+    "what": "'abc' as miUTF16",
+    "codes": []
+  },
+  {
+    "file": "char-ascii-utf32.mat",
+    "probe": "B14_ch_utf32",
+    "matlab": "fails",
+    "what": "'abc' as miUTF32",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-latin1-utf8.mat",
+    "probe": "B14_ch_na_utf8",
+    "matlab": "loads",
+    "what": "'héllo' as miUTF8",
+    "codes": []
+  },
+  {
+    "file": "char-latin1-uint16.mat",
+    "probe": "B14_ch_na_u16",
+    "matlab": "loads",
+    "what": "'héllo' as miUINT16",
+    "codes": []
+  },
+  {
+    "file": "char-latin1-utf16.mat",
+    "probe": "B14_ch_na_utf16",
+    "matlab": "loads",
+    "what": "'héllo' as miUTF16",
+    "codes": []
+  },
+  {
+    "file": "char-latin1-utf32.mat",
+    "probe": "B14_ch_na_utf32",
+    "matlab": "fails",
+    "what": "'héllo' as miUTF32",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-cjk-utf8.mat",
+    "probe": "B14_ch_cjk_utf8",
+    "matlab": "loads",
+    "what": "three CJK characters as miUTF8",
+    "codes": []
+  },
+  {
+    "file": "char-cjk-uint16.mat",
+    "probe": "B14_ch_cjk_u16",
+    "matlab": "alters",
+    "what": "three CJK characters as miUINT16",
+    "matlabSays": "loads char codes [229 44 158], the low byte of each unit, with no warning",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-cjk-utf16.mat",
+    "probe": "B14_ch_cjk_utf16",
+    "matlab": "loads",
+    "what": "three CJK characters as miUTF16",
+    "codes": []
+  },
+  {
+    "file": "char-cjk-utf32.mat",
+    "probe": "B14_ch_cjk_utf32",
+    "matlab": "fails",
+    "what": "three CJK characters as miUTF32",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-emoji-utf8.mat",
+    "probe": "B14_ch_emoji_utf8",
+    "matlab": "loads",
+    "what": "'a', U+1F600, 'b' as miUTF8 (dims [1 4], in UTF-16 units)",
+    "codes": []
+  },
+  {
+    "file": "char-emoji-uint16.mat",
+    "probe": "B14_ch_emoji_u16",
+    "matlab": "fails",
+    "what": "'a', U+1F600, 'b' as miUINT16 (a surrogate pair)",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-emoji-utf16.mat",
+    "probe": "B14_ch_emoji_utf16",
+    "matlab": "loads",
+    "what": "'a', U+1F600, 'b' as miUTF16",
+    "codes": []
+  },
+  {
+    "file": "char-emoji-utf32.mat",
+    "probe": "B14_ch_emoji_utf32",
+    "matlab": "fails",
+    "what": "'a', U+1F600, 'b' as miUTF32",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-every-encoding.mat",
+    "probe": "B14_char_encodings",
+    "matlab": "fails",
+    "what": "the 16 char variables above in one file",
+    "matlabSays": "S = load(f) and load(f) fail; load(f, \"ch_utf8\") works: one bad variable fails the whole-file load",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-latin1-uint8.mat",
+    "probe": "F4_char_u8",
+    "matlab": "fails",
+    "what": "'héllo' as miUINT8 Latin-1 bytes",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-latin1-int8.mat",
+    "probe": "F4_char_i8",
+    "matlab": "fails",
+    "what": "'héllo' as miINT8 Latin-1 bytes",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-ascii-uint8.mat",
+    "probe": "F4_char_u8ascii",
+    "matlab": "fails",
+    "what": "'hello' as miUINT8",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "char-ascii-int8.mat",
+    "probe": "F4_char_i8ascii",
+    "matlab": "fails",
+    "what": "'hello' as miINT8",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "char-type"
+    ]
+  },
+  {
+    "file": "header-only.mat",
+    "probe": "B15a_header_only_zero",
+    "matlab": "loads",
+    "what": "a 128-byte header and no records",
+    "matlabSays": "loads a struct with no fields",
+    "codes": []
+  },
+  {
+    "file": "header-only-offset-spaces.mat",
+    "probe": "B15b_header_only_spaces",
+    "matlab": "loads",
+    "what": "a header only, its subsystem offset eight spaces",
+    "matlabSays": "loads a struct with no fields",
+    "codes": []
+  },
+  {
+    "file": "trailing-3-zeros.mat",
+    "probe": "B16a_trailing3",
+    "matlab": "fails",
+    "what": "matlab-plain.mat and 3 zero bytes",
+    "matlabSays": "Unable to open MAT-file. File might be corrupt. (MATLAB:load:unableToReadMatFile)",
+    "codes": [
+      "framing"
+    ]
+  },
+  {
+    "file": "trailing-8-zeros.mat",
+    "probe": "B16a_trailing8",
+    "matlab": "fails",
+    "what": "matlab-plain.mat and 8 zero bytes",
+    "matlabSays": "Unable to open MAT-file. File might be corrupt. (MATLAB:load:unableToReadMatFile)",
+    "codes": [
+      "framing"
+    ]
+  },
+  {
+    "file": "uncompressed-trailing-8-zeros.mat",
+    "probe": "F5_raw_trailing8",
+    "matlab": "fails",
+    "what": "plain-uncompressed.mat and 8 zero bytes",
+    "matlabSays": "Unable to open MAT-file. File might be corrupt. (MATLAB:load:unableToReadMatFile)",
+    "codes": [
+      "framing"
+    ]
+  },
+  {
+    "file": "trailing-zeros-after-subsystem.mat",
+    "probe": "B16b_obj_trailing8",
+    "matlab": "loads",
+    "what": "matlab-objects.mat and 8 zero bytes after the subsystem",
+    "codes": [
+      "framing"
+    ],
+    "deliberate": "bytes that are no record, after the subsystem: MATLAB's load stops at the subsystem and never reads them, but MATLAB writes nothing there"
+  },
+  {
+    "file": "final-pad-cut.mat",
+    "probe": "B16c_trunc_pad_keep_size",
+    "matlab": "fails",
+    "what": "a last plain record with its final 4 pad bytes cut off, its size unchanged",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "framing"
+    ]
+  },
+  {
+    "file": "final-pad-cut-size-fixed.mat",
+    "probe": "B16d_trunc_pad_fix_size",
+    "matlab": "fails",
+    "what": "the same, its size reduced by 4 to match",
+    "matlabSays": "Unable to open file (MATLAB:load:cantReadFile)",
+    "codes": [
+      "framing",
+      "nbytes"
+    ]
+  },
+  {
+    "file": "small-tags.mat",
+    "probe": "B17_small_tags",
+    "matlab": "loads",
+    "what": "a variable whose name and data both use the small (4-byte) tag",
+    "codes": []
+  },
+  {
+    "file": "version-0x0000.mat",
+    "probe": "F11_v0000",
+    "matlab": "fails",
+    "what": "header version 0x0000",
+    "matlabSays": "Unable to read file (MATLAB:load:notBinaryFile)",
+    "codes": [
+      "not-level5"
+    ]
+  },
+  {
+    "file": "version-0x0200.mat",
+    "probe": "F11_v0200",
+    "matlab": "fails",
+    "what": "header version 0x0200, on a Level-5 file",
+    "matlabSays": "Unable to read file (MATLAB:load:notBinaryFile), after an HDF5 error",
+    "codes": [
+      "not-level5"
+    ]
+  },
+  {
+    "file": "sparse-without-sparse-flag.mat",
+    "probe": "F12_sparse_no1000",
+    "matlab": "loads",
+    "what": "a sparse array without the 0x1000 flag bit",
+    "codes": []
+  }
+]
diff --git a/test/fixtures/mat-check/version-0x0000.mat b/test/fixtures/mat-check/version-0x0000.mat
new file mode 100644
index 00000000..86f5f0cc
Binary files /dev/null and b/test/fixtures/mat-check/version-0x0000.mat differ
diff --git a/test/fixtures/mat-check/version-0x0200.mat b/test/fixtures/mat-check/version-0x0200.mat
new file mode 100644
index 00000000..99f93920
Binary files /dev/null and b/test/fixtures/mat-check/version-0x0200.mat differ
diff --git a/test/fixtures/mat-check/zero-subsystem-offset.mat b/test/fixtures/mat-check/zero-subsystem-offset.mat
new file mode 100644
index 00000000..cc247e9b
Binary files /dev/null and b/test/fixtures/mat-check/zero-subsystem-offset.mat differ
diff --git a/test/matEditGate.test.ts b/test/matEditGate.test.ts
new file mode 100644
index 00000000..56bf3f10
--- /dev/null
+++ b/test/matEditGate.test.ts
@@ -0,0 +1,715 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// The edits a `.mat` takes are the edits its save writes (MatNode._editRefusal, the one rule
+// BaseNode.sourceEditRefusal asks for every path an edit takes). Swept over every Level-5 fixture
+// and MATLAB's verdict corpus, both ways:
+//
+//   - the gate is the writer: for every variable, an edit forced around the gate (its value, its
+//     name) is refused by the save exactly where the gate refuses it;
+//   - every cell the editor offers takes an edit, and the save of that edit is written and reads
+//     back as the tree shows it; every child Add or Delete it offers saves too;
+//   - every cell it does not offer for the save's sake has no editor anywhere a host looks (the
+//     table row, the Property Inspector, the DTO, the getters), and its setter refuses it, as do
+//     the session's editProperty and the structural gates, leaving the file unchanged.
+//
+// Then each refusal by itself, in its own words, and what a MAT-file's save adds to the session:
+// readOnly, addEntry, the rename's duplicate message.
+
+import { describe, it, expect } from 'vitest';
+import { readFileSync, readdirSync } from 'node:fs';
+import { join } from 'node:path';
+import { fileURLToPath } from 'node:url';
+import { MatWriteError } from '../src/datamodel/parser/MatWriter.js';
+import { parseMat } from '../src/datamodel/parser/MatParser.js';
+import { checkMatFile, violationsAdded } from '../src/datamodel/parser/MatFileCheck.js';
+import { sourceEditRefusal } from '../src/datamodel/node/BaseNode.js';
+import MatNode from '../src/datamodel/node/container/MatNode.js';
+import MatlabVariableNode from '../src/datamodel/node/data/MatlabVariableNode.js';
+import { toDTO } from '../src/core/dto.js';
+import { createSession } from '../src/index.js';
+import { zlibSync } from 'fflate';
+import { CLASS, cellVar, matFile, numericVar, structVar, u32le } from './tools/matBytes.js';
+
+const TEST_ROOT = fileURLToPath(new URL('.', import.meta.url));
+const MAT_CHECK = join(TEST_ROOT, 'fixtures', 'mat-check');
+
+function matFilesUnder(dir: string): string[] {
+  const out: string[] = [];
+  for (const entry of readdirSync(dir, { withFileTypes: true })) {
+    const abs = join(dir, entry.name);
+    if (entry.isDirectory()) {
+      if (abs !== MAT_CHECK) {
+        out.push(...matFilesUnder(abs));
+      }
+    } else if (entry.isFile() && entry.name.endsWith('.mat') && entry.name !== 'strings_v73.mat') {
+      out.push(abs);
+    }
+  }
+  return out.sort();
+}
+
+const FIXTURES = matFilesUnder(TEST_ROOT);
+const shown = (abs: string) => abs.slice(TEST_ROOT.length);
+
+function arrayBufferOf(bytes: Uint8Array): ArrayBuffer {
+  return bytes.buffer.slice(bytes.byteOffset, bytes.byteOffset + bytes.byteLength) as ArrayBuffer;
+}
+
+const fileBytes = (abs: string) => arrayBufferOf(new Uint8Array(readFileSync(abs)));
+const sameBytes = (a: Uint8Array, b: Uint8Array) => a.byteLength === b.byteLength && a.every((x, i) => x === b[i]);
+const scalar = (name: string, value: number) => numericVar({ name, cls: CLASS.DOUBLE, dimensions: [1, 1], real: [value] });
+
+/** A MatNode opened through the session, as a host opens one, and what a host does to it. */
+function opened(bytes: ArrayBuffer, name = 'f.mat') {
+  const session = createSession();
+  const root: any = session.addMatSource(name, bytes);
+  const by = (n: string) => root.children.find((c: any) => c.name === n);
+  const edit = (node: any, prop: string, value: string) => {
+    session.setActive(root, node);
+    return session.editProperty(node.id, prop, value);
+  };
+  const save = (): Uint8Array => (session.serializeSource(name) as { bytes: Uint8Array }).bytes;
+  return { session, root, by, edit, save };
+}
+
+/** Every node under `node`, depth first, with its path of child indices from the file. */
+function nodesWithPaths(root: any): { node: any; path: number[] }[] {
+  const out: { node: any; path: number[] }[] = [];
+  const walk = (n: any, path: number[]) => {
+    n.children.forEach((c: any, i: number) => {
+      out.push({ node: c, path: [...path, i] });
+      walk(c, [...path, i]);
+    });
+  };
+  walk(root, []);
+  return out;
+}
+
+const at = (root: any, path: number[]) => path.reduce((n, i) => n?.children[i], root);
+
+/**
+ * `nodes` thinned to what a sweep can afford: of the elements of one array, which are one class
+ * and take one edit, the first two and the last; and of a tree still past 2,500 nodes (the shared
+ * object graphs, of 30,000), an even stride through it.
+ */
+function sampled<T extends { node: any }>(nodes: T[]): T[] {
+  const kept = nodes.filter(({ node }) => {
+    const parent = node.parent;
+    if (!parent || (parent._kind !== 'array' && parent._kind !== 'string')) {
+      return true;
+    }
+    const i = parent.children.indexOf(node);
+    return i < 2 || i === parent.children.length - 1;
+  });
+  if (kept.length <= 2500) {
+    return kept;
+  }
+  const stride = Math.ceil(kept.length / 2500);
+  return kept.filter((_, i) => i % stride === 0);
+}
+
+/**
+ * What a variable shows, everywhere a value is: each node's label, value and class, by path. Two
+ * things a save writes as they are and the tree shows otherwise until the file is read again are
+ * left out of it. A complex part `+0i`: an element of a complex array added or set to a real
+ * number shows as that number, and reads back as the same element with the imaginary part 0
+ * MATLAB gives it (`x(3) = 0` of a complex `x` is `0+0i`). And a sparse array's row set to 0: it
+ * keeps its row, so that the row still names it (MatlabVariableNode._syncElementFromChild), and a
+ * zero is no non-zero once read again; the rows of a sparse array are said by their subscripts.
+ */
+function shownAs(node: any): string[] {
+  const out: string[] = [];
+  const walk = (n: any, path: string) => {
+    out.push(`${path} ${n.displayName} = ${String(n.displayValue).replace(/(\d|Inf|NaN)\+0i/g, '$1')} (${n.className})`);
+    n.children.forEach((c: any, i: number) => {
+      if (n._sparse && /^(0|false|0\+0i)$/.test(c.displayValue)) {
+        return;
+      }
+      walk(c, path + '/' + (n._sparse ? c.displayName : i));
+    });
+  };
+  walk(node, '');
+  return out;
+}
+
+/** The bytes of a save, read again, and the variable at `entry` there, as it shows. */
+function readBack(bytes: Uint8Array, entry: number): string[] {
+  const { root } = opened(arrayBufferOf(bytes), 'saved.mat');
+  return shownAs(root.children[entry]);
+}
+
+/** The thrown error of `fn`, or null. */
+function thrownBy(fn: () => unknown): Error | null {
+  try {
+    fn();
+  } catch (e) {
+    return e as Error;
+  }
+  return null;
+}
+
+/** An edit `node` takes for its Value, by what it is, and whether it took it. */
+function valueEdit(edit: (prop: string, value: string) => unknown, node: any): string | null {
+  const parent = node.parent;
+  const inArray = parent && parent._kind === 'array';
+  const candidates =
+    inArray && parent._scalarType === 'logical'
+      ? ['false', 'true']
+      : inArray
+        ? ['7', '8']
+        : node.className === 'char'
+          ? ["'zz'", '7']
+          : node._kind === 'cell'
+            ? ['{7, 8}', '7']
+            : node.className === 'logical'
+              ? ['false', 'true', '7']
+              : ['7', '8', "'zz'", '[1 2 3]', '{7}', 'true'];
+  for (const value of candidates) {
+    if (value === node.displayValue) {
+      continue;
+    }
+    if (edit('Value', value) === true) {
+      return value;
+    }
+  }
+  return null;
+}
+
+/**
+ * Every top-level variable of `bytes`, each with an edit of its value and of its name forced
+ * around the gate: the save refuses the first exactly where the gate refuses a value edit, and
+ * the second exactly where it refuses a rename. Answers how many of each were written.
+ */
+function gateIsWriter(bytes: ArrayBuffer, file: string): { values: number; names: number } {
+  let values = 0;
+  let names = 0;
+  const count = opened(bytes).root.children.length;
+  for (let i = 0; i < count; i++) {
+    for (const what of ['value', 'name'] as const) {
+      const { root, save } = opened(bytes);
+      const node = root.children[i];
+      // A rename is asked of the record too, as the rename itself asks it (MatNode._renameRefusal).
+      const refused = what === 'name' ? sourceEditRefusal(node, 'Name') ?? root._renameRefusal(node) : sourceEditRefusal(node, 'Value');
+      const label = `${file}: ${node.name} (${what})`;
+      if (what === 'name') {
+        // A name no variable of the file holds, made around the session's rename.
+        node.name = 'gateRenamed' + i;
+        node._markModified('name');
+      } else {
+        node._markModified();
+      }
+      const thrown = thrownBy(save);
+      if (refused) {
+        expect(thrown, label + ': the gate refuses it, ' + refused).toBeInstanceOf(MatWriteError);
+      } else {
+        expect(thrown?.message, label).toBeUndefined();
+        expect(readBack(save(), i), label).toEqual(shownAs(node));
+        what === 'name' ? names++ : values++;
+      }
+    }
+  }
+  return { values, names };
+}
+
+describe('the gate is the writer: an edit forced around it is refused by the save exactly where it is refused', () => {
+  const totals = { values: 0, names: 0 };
+  for (const file of FIXTURES) {
+    it(shown(file), { timeout: 60_000 }, () => {
+      const { values, names } = gateIsWriter(fileBytes(file), shown(file));
+      totals.values += values;
+      totals.names += names;
+    });
+  }
+
+  it("MATLAB's verdict corpus (test/fixtures/mat-check), the files it loads and the ones it does not", { timeout: 60_000 }, () => {
+    const verdicts: { file: string }[] = JSON.parse(readFileSync(join(MAT_CHECK, 'verdicts.json'), 'utf8'));
+    let opened = 0;
+    for (const { file } of verdicts) {
+      let bytes: ArrayBuffer;
+      try {
+        bytes = fileBytes(join(MAT_CHECK, file));
+        parseMat(bytes);
+      } catch {
+        continue;
+      }
+      gateIsWriter(bytes, file);
+      opened++;
+    }
+    expect(opened).toBeGreaterThanOrEqual(60);
+  });
+
+  it('writes most variables of the fixtures, fresh and renamed: the gate refuses only what it must', () => {
+    expect(totals.values).toBeGreaterThanOrEqual(150);
+    expect(totals.names).toBeGreaterThanOrEqual(300);
+  });
+});
+
+describe('every cell the editor offers takes an edit, and its save reads back as the tree shows it', () => {
+  for (const file of FIXTURES) {
+    it(shown(file), { timeout: 60_000 }, () => {
+      const bytes = fileBytes(file);
+      const { root: probe } = opened(bytes);
+      let edits = 0;
+      for (const { node: seen, path } of sampled(nodesWithPaths(probe))) {
+        const offered = seen.getProperties().filter((p: any) => seen.getPropInfo(p).editable).map((p: any) => p.key);
+        for (const key of offered) {
+          const { root, edit, save } = opened(bytes);
+          const node = at(root, path);
+          const label = `${shown(file)}: ${node.matlabPath} ${key}`;
+          let made: string | null;
+          if (key === 'Name') {
+            made = 'cellRenamed' + edits;
+            expect(edit(node, 'Name', made), label).toBe(true);
+          } else {
+            made = valueEdit((prop, value) => edit(node, prop, value), node);
+            expect(made, label + ': no edit taken').not.toBeNull();
+          }
+          const saved = thrownBy(save);
+          expect(saved?.message, label + ' = ' + made).toBeUndefined();
+          expect(readBack(save(), path[0]), label + ' = ' + made).toEqual(shownAs(root.children[path[0]]));
+          edits++;
+        }
+        for (const op of ['add', 'remove'] as const) {
+          if (op === 'add' ? !seen.canAddChild() : !(seen.canRemoveChild?.() && seen.children.length > 0)) {
+            continue;
+          }
+          const { session, root, save } = opened(bytes);
+          const node = at(root, path);
+          const label = `${shown(file)}: ${node.matlabPath} ${op}`;
+          if (op === 'add') {
+            expect(session.addChildTo(node.id), label).not.toBeNull();
+          } else {
+            const last = node.children[node.children.length - 1];
+            session.setActive(root, last);
+            expect(session.deleteNodeById(last.id), label).toBe(true);
+          }
+          expect(thrownBy(save)?.message, label).toBeUndefined();
+          expect(readBack(save(), path[0]), label).toEqual(shownAs(root.children[path[0]]));
+          edits++;
+        }
+      }
+      // Every variable can be deleted, and the file saves without it.
+      for (let i = 0; i < probe.children.length; i++) {
+        const { session, root, save } = opened(bytes);
+        const node = root.children[i];
+        session.setActive(root, node);
+        expect(session.deleteNodeById(node.id), node.name).toBe(true);
+        expect(thrownBy(save)?.message, node.name).toBeUndefined();
+      }
+      if (probe.children.some((c: any) => !sourceEditRefusal(c, 'Value'))) {
+        expect(edits).toBeGreaterThan(0);
+      }
+    });
+  }
+});
+
+describe('every cell the save would refuse has no editor anywhere a host looks, and every path refuses its edit', () => {
+  for (const file of FIXTURES) {
+    it(shown(file), { timeout: 60_000 }, () => {
+      const bytes = fileBytes(file);
+      const original = new Uint8Array(bytes);
+      const { session, root, edit, save } = opened(bytes);
+      let refused = 0;
+      for (const { node } of sampled(nodesWithPaths(root))) {
+        const label = `${shown(file)}: ${node.matlabPath}`;
+        const row = node.toRow();
+        const dto = toDTO(node);
+        // What a host reads is one answer, the getters' and getPropInfo's.
+        expect(row.Name.editable, label).toBe(node.getPropInfo(node.getProperties().find((p: any) => p.key === 'Name')).editable);
+        expect(row._valueEditable, label).toBe(node.getProperties().some((p: any) => p.key === 'Value') ? node.getPropInfo(node.getProperties().find((p: any) => p.key === 'Value')).editable : node.valueEditable);
+        expect(row._descriptionEditable, label).toBe(node.descriptionEditable);
+        dto.props.forEach((p: any, k: number) => expect(p.editable, label + ' ' + p.key).toBe(node.getPropInfo(node.getProperties()[k]).editable));
+        const frozenValue = sourceEditRefusal(node, 'Value');
+        const frozenName = sourceEditRefusal(node, 'Name');
+        if (frozenName) {
+          expect([node.nameEditable, row.Name.editable], label).toEqual([false, false]);
+          const answer: any = edit(node, 'Name', 'refusedName');
+          expect(answer, label).toMatchObject({ error: true, reason: frozenName });
+          expect(node.setProperty('Name', 'refusedName'), label).toMatchObject({ error: true });
+          refused++;
+        }
+        if (frozenValue) {
+          for (const p of node.getProperties()) {
+            if (p.key !== 'Name') {
+              expect(node.getPropInfo(p).editable, label + ' ' + p.key).toBe(false);
+            }
+          }
+          expect([node.valueEditable, row._valueEditable, node.descriptionEditable], label).toEqual([false, false, false]);
+          expect([node.canAddChild(), node.canRemoveChild?.() ?? false], label).toEqual([false, false]);
+          expect(session.addChildTo(node.id), label).toBeNull();
+          for (const value of ['7', "'zz'", '{1}']) {
+            if (value === node.displayValue) {
+              continue;
+            }
+            expect(edit(node, 'Value', value), label + ' = ' + value).toMatchObject({ error: true });
+            expect(node.setProperty('Value', value), label + ' = ' + value).toMatchObject({ error: true });
+          }
+          if (node.parent !== root) {
+            session.setActive(root, node);
+            expect(session.deleteNodeById(node.id), label).toBe(false);
+          }
+          refused++;
+        }
+      }
+      // Nothing it refused changed the file.
+      expect(root.dirty).toBe(false);
+      expect(sameBytes(save(), original)).toBe(true);
+      if (refused === 0) {
+        expect(root.children.every((c: any) => !sourceEditRefusal(c, 'Value'))).toBe(true);
+      }
+    });
+  }
+});
+
+const CASES = join(TEST_ROOT, 'parity/artifacts/mat/cases.mat');
+const fixture = (rel: string) => fileBytes(join(TEST_ROOT, rel));
+
+describe('what each kind of variable of a .mat takes', () => {
+  const editRefused = (name: string, what: string) =>
+    `Cannot edit "${name}": it is ${what}, which a MAT-file save writes only as it was read, or renamed, so its edit cannot be saved.`;
+
+  it("an object's typed node: renamed and deleted, and nothing else, at any depth", () => {
+    // ParamMat.mat's Simulink.Parameter holds a 2x3 matrix: a Value row, and a row per element.
+    const deep = opened(fixture('fixtures/mcos/ParamMat.mat')).root.children[0];
+    expect(deep.flatten().length).toBe(8);
+    for (const node of deep.flatten()) {
+      const offered = node.getProperties().filter((p: any) => node.getPropInfo(p).editable).map((p: any) => p.key);
+      expect([offered, node.canAddChild(), node.canRemoveChild?.() ?? false], node.matlabPath).toEqual([node === deep ? ['Name'] : [], false, false]);
+    }
+    const { session, root, by, edit, save } = opened(fileBytes(CASES), 'cases.mat');
+    const param = by('aParam');
+    expect(param.constructor.name).toBe('ParameterNode');
+    const under = param.flatten();
+    expect(param.nameEditable).toBe(true);
+    for (const node of under) {
+      expect(node.getProperties().filter((p: any) => node.getPropInfo(p).editable).map((p: any) => p.key), node.matlabPath).toEqual(
+        node === param ? ['Name'] : [],
+      );
+    }
+    // Every property, refused in the save's own words, by the session and by the node.
+    for (const prop of ['Value', 'Description', 'DataType', 'Min', 'Unit']) {
+      expect(edit(param, prop, '3'), prop).toEqual({ error: true, reason: editRefused('aParam', 'a Simulink.Parameter'), invalidValue: '3', validValue: expect.any(String) });
+      expect(param.setProperty(prop, '3'), prop).toMatchObject({ error: true, reason: editRefused('aParam', 'a Simulink.Parameter') });
+    }
+    expect([param.status, root.dirty]).toEqual(['', false]);
+    expect(edit(param, 'Name', 'renamedParam')).toBe(true);
+    expect(readBack(save(), root.children.indexOf(param))).toEqual(shownAs(param));
+    session.setActive(root, param);
+    expect(session.deleteNodeById(param.id)).toBe(true);
+    expect(opened(arrayBufferOf(save())).by('renamedParam')).toBeUndefined();
+  });
+
+  it('a string, a function handle, a value not decoded: renamed and deleted, their values not edited', () => {
+    const z = numericVar({ name: 'z', cls: CLASS.DOUBLE, dimensions: [1, 1], real: [3], imag: [4] });
+    z[16] = 0xff;
+    const cases: [ArrayBuffer, string, string][] = [
+      [fileBytes(CASES), 'strScalar', 'a string'],
+      [fixture('fixtures/display/dispcat_opaque.mat'), 'fh_sin', 'a function handle'],
+      [matFile([scalar('a', 1), z]), 'z', 'a value that was not decoded'],
+    ];
+    for (const [bytes, name, what] of cases) {
+      const { root, by, edit, save } = opened(bytes);
+      const node = by(name);
+      expect([node.nameEditable, node.valueEditable, node.toRow()._valueEditable], name).toEqual([true, false, false]);
+      expect(edit(node, 'Value', '5'), name).toMatchObject({ error: true });
+      expect(node.setProperty('Value', '5'), name).toMatchObject({ error: true });
+      expect(sourceEditRefusal(node, 'Value'), name).toBe(editRefused(name, what));
+      expect(root.dirty, name).toBe(false);
+      expect(edit(node, 'Name', name + 'R'), name).toBe(true);
+      const index = root.children.indexOf(node);
+      expect(readBack(save(), index), name).toEqual(shownAs(node));
+    }
+  });
+
+  it('a plain variable holding an object, at any depth: renamed and deleted, nothing in it edited', () => {
+    const { root, by, edit, save } = opened(fixture('fixtures/mcos/complex_objects.mat'));
+    const s = by('s');
+    const z = s.children.find((c: any) => c.name === 'z');
+    const why = 'Cannot edit "s": s.p is a Simulink.Parameter, which this package cannot write into a MAT-file.';
+    expect([s.valueEditable, z.valueEditable, z.nameEditable, s.canAddChild()]).toEqual([false, false, false, false]);
+    expect(edit(z, 'Value', '5')).toMatchObject({ error: true, reason: why });
+    expect(sourceEditRefusal(z, 'Value')).toBe(why);
+    expect(root.dirty).toBe(false);
+    expect(edit(s, 'Name', 'sR')).toBe(true);
+    expect(readBack(save(), root.children.indexOf(s))).toEqual(shownAs(s));
+  });
+
+  it('a plain variable: every cell, and Add and Delete of its rows, as the table offers them', () => {
+    const { by } = opened(fileBytes(CASES), 'cases.mat');
+    expect([by('kp').nameEditable, by('kp').valueEditable]).toEqual([true, true]);
+    expect(by('mat2x3').children.every((c: any) => c.valueEditable)).toBe(true);
+    expect([by('cellFlat').canAddChild(), by('structScalar').canAddChild(), by('rowVec').canAddChild()]).toEqual([true, true, true]);
+  });
+
+  it('a struct array, and each element of one, takes no Add: a save writes a field into every element or none', () => {
+    const { session, root, by, save } = opened(fileBytes(CASES), 'cases.mat');
+    const array = by('struct1x3');
+    const original = new Uint8Array(fileBytes(CASES));
+    for (const node of [array, array.children[0]]) {
+      expect(node.canAddChild(), node.matlabPath).toBe(false);
+      expect(session.addChildTo(node.id), node.matlabPath).toBeNull();
+      expect(sourceEditRefusal(node, 'Add')).toBe(
+        'Cannot edit "struct1x3": struct1x3 is a 1x3 struct, whose fields a save writes into every element of it or none, and Add gives one struct a field of its own.',
+      );
+    }
+    // Its elements' fields take their edits, as before.
+    expect(array.children[0].children[0].valueEditable).toBe(true);
+    expect([root.dirty, sameBytes(save(), original)]).toEqual([false, true]);
+  });
+
+  it("a value typed in that a save cannot write, a string, is refused before it is made", () => {
+    const { root, by, edit, save } = opened(fileBytes(CASES), 'cases.mat');
+    const original = new Uint8Array(fileBytes(CASES));
+    for (const [node, typed, why] of [
+      [by('kp'), '"abc"', 'Cannot edit "kp": kp would be a string, which this package cannot write into a MAT-file.'],
+      [by('kp'), '["a" "b"]', 'Cannot edit "kp": kp would be a string, which this package cannot write into a MAT-file.'],
+      [by('cellFlat').children[0], '{1, "a"}', 'Cannot edit "cellFlat": cellFlat{1} would hold a string, which this package cannot write into a MAT-file.'],
+      [by('structScalar').children[0], '"x"', 'Cannot edit "structScalar": structScalar.a would be a string, which this package cannot write into a MAT-file.'],
+    ] as [any, string, string][]) {
+      const was = shownAs(node);
+      expect(edit(node, 'Value', typed), typed).toEqual({ error: true, reason: why, invalidValue: typed, validValue: node.displayValue });
+      expect(shownAs(node), typed).toEqual(was);
+    }
+    // Nothing was edited: the file is not dirty, and saves as itself.
+    expect([root.dirty, by('kp').status, sameBytes(save(), original)]).toEqual([false, '', true]);
+    // A char is a value a save writes.
+    expect(edit(by('kp'), 'Value', "'abc'")).toBe(true);
+    expect(readBack(save(), root.children.indexOf(by('kp')))).toEqual(shownAs(by('kp')));
+  });
+
+  it('a variable holding a container read short, at any depth: renamed and deleted, nothing in it edited', () => {
+    // A save would write the elements the reader could not read as empty doubles, which the file
+    // did not hold (MatFileWriter.shortIn).
+    const short = cellVar('', [scalar('', 1)], [1, 3]);
+    const { root, by, edit, save } = opened(matFile([cellVar('c', [scalar('', 1)], [1, 3]), structVar('s', ['a', 'b'], [{ a: short, b: scalar('', 2) }]), scalar('ok', 3)]));
+    const why = {
+      c: 'Cannot edit "c": c is a 1x3 cell holding 1 of the 3 elements it declares, and a save would write the ones it does not hold as empty.',
+      s: 'Cannot edit "s": s.a is a 1x3 cell holding 1 of the 3 elements it declares, and a save would write the ones it does not hold as empty.',
+    };
+    expect(edit(by('c').children[0], 'Value', '5')).toMatchObject({ error: true, reason: why.c });
+    expect(edit(by('s').children[1], 'Value', '5')).toMatchObject({ error: true, reason: why.s });
+    expect([by('c').canAddChild(), by('s').canAddChild(), by('ok').valueEditable]).toEqual([false, false, true]);
+    expect(root.dirty).toBe(false);
+    expect(edit(by('c'), 'Name', 'c2')).toBe(true);
+    expect(edit(by('ok'), 'Value', '4')).toBe(true);
+    expect(parseMat(arrayBufferOf(save())).records.map((r) => r.name)).toEqual(['c2', 's', 'ok']);
+  });
+
+  it('a container the node ceiling built without its rows is judged by what it was read as', () => {
+    // nested_handles.mat's c_fh is a cell of function handles. Built with no rows, it showed no
+    // handle to refuse, and took an edit the save then refused.
+    const bytes = fixture('fixtures/display/nested_handles.mat');
+    const cut: any = MatNode.fromParsed(parseMat(bytes), 'f.mat', { nodeCeiling: 0 });
+    const cFh = cut.children.find((c: any) => c.name === 'c_fh');
+    expect([cFh._cutByCeiling > 0, cFh.children.length]).toEqual([true, 0]);
+    expect(sourceEditRefusal(cFh, 'Value')).toBe('Cannot edit "c_fh": c_fh{1} is a function handle, which this package cannot write into a MAT-file.');
+    expect(cFh.valueEditable).toBe(false);
+  });
+});
+
+describe('what a file, or where a variable stands in it, refuses of every edit', () => {
+  it('a variable stored after the subsystem: neither renamed nor edited, and deleted', () => {
+    const late = arrayBufferOf(new Uint8Array([...new Uint8Array(fixture('fixtures/mcos/Param.mat')), ...scalar('late', 4)]));
+    const { session, root, by, edit, save } = opened(late);
+    const node = by('late');
+    const why =
+      'Cannot edit "late": it is stored after the file\'s objects, where MATLAB does not read it, so it would not be read written there, '
+      + 'and moved, it would change what MATLAB loads of the file.';
+    expect([node.nameEditable, node.valueEditable, node.toRow().Name.editable]).toEqual([false, false, false]);
+    expect(edit(node, 'Name', 'late2')).toMatchObject({ error: true, reason: why });
+    expect(edit(node, 'Value', '5')).toMatchObject({ error: true, reason: why });
+    expect(node.setProperty('Name', 'late2')).toMatchObject({ error: true, reason: why });
+    // And by the rename's own refusal of a name the node does not take (nameEditable), for a setter
+    // that does not ask the source first: as the source says it, not as a name the entry cannot carry.
+    const asked = node._refuseEncodedEdit;
+    node._refuseEncodedEdit = () => null;
+    expect(node.setProperty('Name', 'late2')).toMatchObject({ error: true, reason: why });
+    node._refuseEncodedEdit = asked;
+    expect(root.dirty).toBe(false);
+    // The variable before the subsystem is as any other.
+    expect(by('Param').nameEditable).toBe(true);
+    session.setActive(root, node);
+    expect(session.deleteNodeById(node.id)).toBe(true);
+    expect(parseMat(arrayBufferOf(save())).records.map((r) => r.name)).toEqual(['Param', '']);
+  });
+
+  it('two variables of one name: neither value edited until one is renamed away', () => {
+    const { root, edit, save } = opened(matFile([scalar('a', 1), scalar('a', 2), scalar('b', 3)]));
+    const [first, second] = root.children;
+    const why = 'Cannot edit "a": the file holds another variable named "a", and MATLAB loads only one of them.';
+    // The session takes no edit of either, by an id two nodes answer to (DataModel.idIsShared);
+    // the nodes' own setters are asked here.
+    for (const node of [first, second]) {
+      expect([node.valueEditable, sourceEditRefusal(node, 'Value')]).toEqual([false, why]);
+      expect(edit(node, 'Value', '5')).toBe(false);
+      expect(node.setProperty('Value', '5')).toMatchObject({ error: true, reason: why });
+    }
+    expect(second.setProperty('Name', 'a2')).toBe(true);
+    expect([first.valueEditable, second.valueEditable]).toEqual([true, true]);
+    expect(edit(first, 'Value', '5')).toBe(true);
+    expect(parseMat(arrayBufferOf(save())).variables.map((v) => [v.name, v.value])).toEqual([['a', 5], ['a2', 2], ['b', 3]]);
+  });
+
+  it('what the gate found is forgotten for the variable an edit changed, and the names are counted as they move', () => {
+    const { session, root, by, edit } = opened(matFile([scalar('a', 1), scalar('a', 2), scalar('b', 3), cellVar('c', [scalar('', 4)])]));
+    const verdictKept = (n: any) => root._valueVerdicts.has(n);
+    const [a1, a2, b, c] = root.children;
+    root.children.forEach((n: any) => n.valueEditable);
+    expect(root.children.map(verdictKept)).toEqual([true, true, true, true]);
+    // An edit under `c` forgets what was found of `c`, and of nothing else.
+    expect(edit(c.children[0], 'Value', '5')).toBe(true);
+    expect(root.children.map(verdictKept)).toEqual([true, true, true, false]);
+    // A name moved by a rename, its undo and its redo, an addition and a delete, and their undo:
+    // what the gate says of the two `a`s, and what the file is said to hold, follow each.
+    const holds = (...names: string[]) => names.map((n) => root._namespaceHolds(n));
+    expect([a1.valueEditable, a2.valueEditable]).toEqual([false, false]);
+    expect(a2.setProperty('Name', 'z')).toBe(true);
+    expect([a1.valueEditable, a2.valueEditable, holds('a', 'z')]).toEqual([true, true, [1, 1]]);
+    expect(edit(b, 'Name', 'y')).toBe(true);
+    expect(holds('b', 'y')).toEqual([0, 1]);
+    session.undo();
+    expect(holds('b', 'y')).toEqual([1, 0]);
+    session.redo();
+    expect(holds('b', 'y')).toEqual([0, 1]);
+    expect(root.execAddEntry(undefined, 'a')).toBeNull();
+    const added = root.execAddEntry(undefined, 'n');
+    expect([holds('n'), root.execAddEntry(undefined, 'n')]).toEqual([[1], null]);
+    expect(root.execRemoveEntry(by('n'))).not.toBeNull();
+    expect(holds('n')).toEqual([0]);
+    added.redo();
+    expect(holds('n')).toEqual([1]);
+    added.undo();
+    expect(holds('n')).toEqual([0]);
+    // A variable whose slot changes hands (BaseNode._replaceWith) has the names counted again.
+    expect(a1._replaceWith(MatlabVariableNode.createDefault('q', root))).toBe(true);
+    expect(holds('a', 'q', 'z')).toEqual([0, 1, 1]);
+  });
+
+  it('a name the file holds as a record the reader dropped is taken: no rename or addition into it', () => {
+    // A record that is not a matrix (an miINT32 at the top level) is dropped by the reader, and
+    // kept by every save as its bytes; its name is still the file's.
+    const { root, edit } = opened(matFile([scalar('a', 1), scalar('b', 2)]));
+    expect(root._namespaceHolds('a')).toBe(1);
+    expect(edit(root.children[1], 'Name', 'a')).toEqual({ error: true, reason: "'a' already exists in f.mat", invalidValue: 'a', validValue: 'b' });
+  });
+
+  it('a record the reader dropped with no name read out of it holds none: an addition and a rename into any name are taken', () => {
+    // A compressed record whose payload is no zlib stream: the reader drops it, and no name is
+    // read out of it. MATLAB fails the whole load on it (`compressed-wrapper`), so no name an
+    // addition or a rename takes is one MATLAB loads beside it, and the save breaks only that.
+    const broken = new Uint8Array([...u32le(15), ...u32le(8), 1, 2, 3, 4, 5, 6, 7, 8]);
+    const input = matFile([scalar('a', 1), broken]);
+    const before = checkMatFile(new Uint8Array(input));
+    expect(before.map((v) => v.code)).toEqual(['compressed-wrapper']);
+    const { root, edit, save } = opened(input);
+    expect([root.records[1].status, root.records[1].name, root.readOnly]).toEqual(['dropped', null, false]);
+    expect(root.execAddEntry(undefined, 'x')).not.toBeNull();
+    expect(edit(root.children[0], 'Name', 'y')).toBe(true);
+    const saved = save();
+    expect(parseMat(arrayBufferOf(saved)).variables.map((v) => v.name)).toEqual(['y', 'x']);
+    expect(violationsAdded(before, checkMatFile(saved), new Map([['y', 'a']]))).toEqual([]);
+  });
+
+  it('a variable whose record holds bytes past its element: no rename, refused as it is made; its value is written fresh', () => {
+    // A compressed record whose stream inflates to the element and 8 bytes more: the reader reads
+    // the element, and a save has no element of the record's own to put a new name in.
+    const stream = zlibSync(new Uint8Array([...scalar('a', 1), ...new Uint8Array(8)]));
+    const record = new Uint8Array([...u32le(15), ...u32le(stream.length), ...stream]);
+    const { root, by, edit, save } = opened(matFile([record, scalar('b', 2)]));
+    const node = by('a');
+    expect([root.framed, node.nameEditable]).toEqual([true, true]);
+    const why = `Cannot edit "a": the record it was read from, at byte 128, is not a whole element whose name can be replaced, so it cannot be renamed.`;
+    expect(edit(node, 'Name', 'a2')).toEqual({ error: true, reason: why, invalidValue: 'a2', validValue: 'a' });
+    expect([node.name, root.dirty]).toEqual(['a', false]);
+    expect(edit(node, 'Value', '5')).toBe(true);
+    expect(parseMat(arrayBufferOf(save())).variables.map((v) => [v.name, v.value])).toEqual([['a', 5], ['b', 2]]);
+  });
+
+  it('a file no save of which can be written is read-only, and takes no edit, addition or delete', () => {
+    const z = new Uint8Array(8);
+    const files: [string, () => any, RegExp][] = [
+      ['unframed', () => opened(matFile([scalar('a', 1), scalar('b', 2)], { trailing: z })), /^Cannot edit "f\.mat": this package could not frame 8 byte\(s\) of it/],
+      ['an unnamed record that is not the subsystem', () => opened(matFile([scalar('a', 1), scalar('', 2), scalar('b', 3)])), /^Cannot edit "f\.mat": the record at byte \d+ holds a value with no name/],
+      [
+        "a host's parse that carries no records",
+        () => {
+          const session = createSession();
+          const { header, variables } = parseMat(fileBytes(CASES));
+          const root: any = session.addMatSourceParsed('f.mat', { header, variables });
+          return {
+            session,
+            root,
+            edit: (node: any, prop: string, value: string) => {
+              session.setActive(root, node);
+              return session.editProperty(node.id, prop, value);
+            },
+          };
+        },
+        /^Cannot edit "f\.mat": it was opened without the records a save writes back/,
+      ],
+    ];
+    for (const [what, open, why] of files) {
+      const { session, root, edit } = open();
+      expect(root.readOnly, what).toBe(true);
+      const node = root.children[0];
+      expect([node.nameEditable, node.valueEditable], what).toEqual([false, false]);
+      expect(edit(node, 'Value', '5').reason, what).toMatch(why);
+      expect(edit(node, 'Name', 'renamed').reason, what).toMatch(why);
+      session.setActive(root, node);
+      expect(session.deleteNodeById(node.id), what).toBe(false);
+      expect(session.addEntry('', 'MatlabVariable'), what).toBeNull();
+      expect([root.children[0], root.dirty], what).toEqual([node, false]);
+    }
+  });
+
+  it('a file whose bytes the host has since handed away becomes read-only', () => {
+    const input = fileBytes(CASES);
+    const { root, by } = opened(input, 'cases.mat');
+    expect([root.readOnly, by('kp').valueEditable]).toEqual([false, true]);
+    structuredClone(input, { transfer: [input] });
+    expect([root.readOnly, by('kp').valueEditable, by('kp').nameEditable]).toEqual([true, false, false]);
+  });
+});
+
+describe('the session, on a .mat', () => {
+  it('a file a save can write is not read-only', () => {
+    for (const file of FIXTURES) {
+      expect(opened(fileBytes(file)).root.readOnly, shown(file)).toBe(false);
+    }
+  });
+
+  it('addEntry adds the double 0, named var, before the subsystem, and its undo and redo are saved', () => {
+    const { session, root, save } = opened(fileBytes(CASES), 'cases.mat');
+    session.setActiveContext(root);
+    const added: any = session.addEntry('', 'MatlabVariable');
+    expect([added.name, added.displayValue, added.className, added.parent]).toEqual(['var', '0', 'double', root]);
+    expect(session.getEntryNode()).toBe(added);
+    const again: any = session.addEntry('', 'MatlabVariable');
+    expect(again.name).toBe('var1');
+    let parsed = parseMat(arrayBufferOf(save()));
+    expect(parsed.records.slice(-3).map((r) => r.name)).toEqual(['var', 'var1', '']);
+    expect(parsed.variables.find((v) => v.name === 'var')).toMatchObject({ className: 'double', dimensions: [1, 1], value: 0 });
+    session.undo();
+    session.undo();
+    expect(root.children.includes(added)).toBe(false);
+    expect(parseMat(arrayBufferOf(save())).records.map((r) => r.name)).not.toContain('var');
+    session.redo();
+    parsed = parseMat(arrayBufferOf(save()));
+    expect(parsed.records.slice(-2).map((r) => r.name)).toEqual(['var', '']);
+    // An entry named by the caller, and what a save could not write.
+    expect(session.addEntry('', 'MatlabVariable', 'myVar').name).toBe('myVar');
+    expect(session.addEntry('', 'MatlabVariable', 'kp')).toBeNull();
+    expect(session.addEntry('', 'MatlabVariable', '1bad')).toBeNull();
+    expect(session.addEntry('', 'Simulink.Parameter')).toBeNull();
+    expect(parseMat(arrayBufferOf(save())).records.slice(-3).map((r) => r.name)).toEqual(['var', 'myVar', '']);
+  });
+
+  it("a rename into a name the file holds names the file; a dictionary's keeps its wording", () => {
+    const { by, edit } = opened(fileBytes(CASES), 'cases.mat');
+    expect(edit(by('kp'), 'Name', 'scalarD')).toEqual({ error: true, reason: "'scalarD' already exists in cases.mat", invalidValue: 'scalarD', validValue: 'kp' });
+    // A host's srcId that is a path names the file by its basename.
+    const session = createSession();
+    const root: any = session.addMatSource('/some/where/cases.mat', fileBytes(CASES));
+    expect(root.children.find((c: any) => c.name === 'kp').setProperty('Name', 'scalarD').reason).toBe("'scalarD' already exists in cases.mat");
+  });
+});
diff --git a/test/matFileCheck.test.ts b/test/matFileCheck.test.ts
new file mode 100644
index 00000000..0df958b1
--- /dev/null
+++ b/test/matFileCheck.test.ts
@@ -0,0 +1,660 @@
+// Copyright 2026 The MathWorks, Inc.
+// The contract of the strict MAT-file checker (src/datamodel/parser/MatFileCheck.ts).
+//
+// `checkMatFile` claims to say whether MATLAB loads a file, and the claim is only as good as
+// the ground truth it is held to. So the first block holds it to MATLAB's own verdicts: the
+// files in test/fixtures/mat-check are copies of files MATLAB R2027a wrote, most of them
+// edited one byte range at a time, and verdicts.json records what `S = load(f)` did with
+// each (loads; fails; loads with a variable silently missing; loads with a value or a name
+// changed) and the violation codes the checker gives it. Every file MATLAB did not load as
+// stored must have a violation, and every file it did load must have none, except the short
+// list of deliberate differences below, each with its reason. There is no MATLAB failure in
+// the corpus the checker does not see.
+//
+// The second block runs it over every Level-5 `.mat` already in this repo. MATLAB wrote all
+// of them, so a violation there is a false positive, or a finding about the fixture.
+//
+// The rest is one rule at a time on bytes built here (test/tools/matBytes.ts), including the
+// ones no probe broke, and the two promises the save path leans on: the check never throws,
+// and its work is bounded however the bytes lie.
+
+import { describe, it, expect, afterEach } from 'vitest';
+import { readdirSync, readFileSync, statSync } from 'node:fs';
+import { join } from 'node:path';
+import { fileURLToPath } from 'node:url';
+import { deflateSync, gzipSync, zlibSync } from 'fflate';
+import { checkMatFile, violationsAdded, type MatViolation, type MatViolationCode } from '../src/datamodel/parser/MatFileCheck.js';
+import { setNativeInflate } from '../src/datamodel/parser/Inflate.js';
+import {
+  CLASS,
+  MI,
+  arrayFlags,
+  cellVar,
+  charVar,
+  dims,
+  element,
+  matFile,
+  matrix,
+  numericVar,
+  sparseVar,
+  structVar,
+  u32le,
+  varName,
+} from './tools/matBytes.js';
+
+const TEST = fileURLToPath(new URL('.', import.meta.url));
+const CORPUS = join(TEST, 'fixtures', 'mat-check');
+
+interface Verdict {
+  file: string;
+  probe: string;
+  matlab: 'loads' | 'fails' | 'drops' | 'alters';
+  what: string;
+  matlabSays?: string;
+  codes: MatViolationCode[];
+  deliberate?: string;
+}
+
+const verdicts = JSON.parse(readFileSync(join(CORPUS, 'verdicts.json'), 'utf8')) as Verdict[];
+
+const read = (path: string): Uint8Array => new Uint8Array(readFileSync(path));
+const codesOf = (violations: MatViolation[]): MatViolationCode[] => [...new Set(violations.map((v) => v.code))].sort();
+const codes = (bytes: Uint8Array): MatViolationCode[] => codesOf(checkMatFile(bytes));
+
+afterEach(() => {
+  setNativeInflate(undefined);
+});
+
+/**
+ * The files MATLAB loads that the checker flags anyway, and why. They are the whole list: a
+ * file that loads and is flagged without being named here fails the corpus test.
+ */
+const DELIBERATE: Record<string, string> = {
+  // MATLAB loads a name stored twice without a word, and which copy a caller gets depends on
+  // how it asks: `load(f)` keeps the last, `load(f, name)` the first. A save that wrote one
+  // would be writing that ambiguity, so it is a violation.
+  'duplicate-name-later-copy.mat': 'duplicate-name',
+  'duplicate-name-earlier-copy.mat': 'duplicate-name',
+  'duplicate-object-names.mat': 'duplicate-name',
+  // Eight zero bytes after the subsystem load, because MATLAB's load stops reading at the
+  // subsystem. They are no record all the same, MATLAB writes nothing after the subsystem, and
+  // its `save -append` reads past it (it revived a variable stored there), so they are a
+  // `framing` violation like zero bytes anywhere else.
+  'trailing-zeros-after-subsystem.mat': 'framing',
+};
+
+describe('the MATLAB-verdict corpus', () => {
+  it('is what verdicts.json says it is', () => {
+    const files = readdirSync(CORPUS).filter((f) => f.endsWith('.mat')).sort();
+    expect(files).toEqual(verdicts.map((v) => v.file).sort());
+    expect(verdicts.filter((v) => v.matlab !== 'loads').length).toBeGreaterThanOrEqual(36);
+    expect(Object.keys(DELIBERATE).sort()).toEqual(verdicts.filter((v) => v.deliberate).map((v) => v.file).sort());
+  });
+
+  for (const engine of ['the detected inflate engine', 'fflate'] as const) {
+    describe(`with ${engine}`, () => {
+      for (const v of verdicts) {
+        it(`${v.file}: MATLAB ${v.matlab}`, () => {
+          if (engine === 'fflate') setNativeInflate(null);
+          const found = checkMatFile(read(join(CORPUS, v.file)));
+          expect(codesOf(found)).toEqual(v.codes);
+          if (v.matlab !== 'loads') {
+            expect(found.length).toBeGreaterThan(0);
+          } else if (DELIBERATE[v.file]) {
+            expect(codesOf(found)).toEqual([DELIBERATE[v.file]]);
+          } else {
+            expect(found).toEqual([]);
+          }
+        });
+      }
+    });
+  }
+
+  it('names the variable each per-variable violation is in', () => {
+    const after = checkMatFile(read(join(CORPUS, 'variable-after-subsystem.mat')));
+    expect(after).toEqual([expect.objectContaining({ code: 'subsystem-not-last', variable: 'd_scalar' })]);
+    const chars = checkMatFile(read(join(CORPUS, 'char-every-encoding.mat')));
+    expect(chars.map((v) => v.variable)).toEqual(['ch_utf32', 'ch_na_utf32', 'ch_cjk_u16', 'ch_cjk_utf32', 'ch_emoji_u16', 'ch_emoji_utf32']);
+    const crash = checkMatFile(read(join(CORPUS, 'non-utf8-name.mat')));
+    expect(crash).toEqual([expect.objectContaining({ code: 'name', message: expect.stringContaining('crashes') })]);
+  });
+});
+
+/** Every `.mat` under test/ but the corpus above, which has verdicts of its own. */
+function repoMatFiles(dir: string, out: string[] = []): string[] {
+  for (const name of readdirSync(dir)) {
+    const path = join(dir, name);
+    if (statSync(path).isDirectory()) {
+      if (path !== CORPUS) repoMatFiles(path, out);
+    } else if (name.endsWith('.mat')) {
+      out.push(path);
+    }
+  }
+  return out.sort();
+}
+
+describe('the MATLAB-written .mat fixtures in this repo', () => {
+  const files = repoMatFiles(TEST);
+  // A Level-5 file holds version 0x0100 (bytes 00 01); the one -v7.3 fixture holds 00 02.
+  const level5 = files.filter((f) => {
+    const b = read(f);
+    return b[124] === 0x00 && b[125] === 0x01;
+  });
+
+  it('are found', () => {
+    expect(level5.length).toBeGreaterThanOrEqual(35);
+    expect(files.length - level5.length).toBe(1);
+  });
+
+  for (const file of level5) {
+    it(`${file.slice(TEST.length)} has no violation`, () => {
+      expect(checkMatFile(read(file))).toEqual([]);
+    });
+  }
+
+  it('says a -v7.3 file is no Level-5 one', () => {
+    const v73 = files.find((f) => !level5.includes(f))!;
+    expect(checkMatFile(read(v73))).toEqual([expect.objectContaining({ code: 'not-level5', message: expect.stringContaining('-v7.3') })]);
+  });
+});
+
+// ---- Bytes built here -------------------------------------------------------------------
+
+function concat(parts: Uint8Array[]): Uint8Array {
+  const out = new Uint8Array(parts.reduce((n, p) => n + p.length, 0));
+  let at = 0;
+  for (const p of parts) {
+    out.set(p, at);
+    at += p.length;
+  }
+  return out;
+}
+
+/** A record holding `el` compressed, as `save -v7` writes one: `wrap` is the stream's framing. */
+function compressed(el: Uint8Array, wrap: (b: Uint8Array) => Uint8Array = zlibSync): Uint8Array {
+  const z = wrap(el);
+  return concat([u32le(MI.COMPRESSED), u32le(z.length), z]);
+}
+
+/** A record of raw bytes under a tag of `type`, with `n` declared (its length by default). */
+function rawRecord(type: number, body: Uint8Array, n = body.length): Uint8Array {
+  return concat([u32le(type), u32le(n), body]);
+}
+
+/** A subsystem record: an unnamed uint8 [1 N] array whose bytes are a MAT stream of `elements`. */
+function subsystem(elements: Uint8Array[] = [numericVar({ name: '', cls: CLASS.DOUBLE, dimensions: [1, 1], real: [1] })]): Uint8Array {
+  const stream = concat([new Uint8Array([0x00, 0x01, 0x49, 0x4d, 0, 0, 0, 0]), ...elements]);
+  return matrix([arrayFlags(CLASS.UINT8), dims([1, stream.length]), varName(''), element(MI.UINT8, stream)]);
+}
+
+/**
+ * A MAT-file of `records`, its header's subsystem offset pointing at `records[subsystemAt]`, or
+ * holding `offset` when that is a number, or 0.
+ */
+function file(records: Uint8Array[], subsystemAt?: number, offset?: number): Uint8Array {
+  const bytes = new Uint8Array(matFile(records));
+  const at = subsystemAt === undefined ? offset ?? 0 : 128 + records.slice(0, subsystemAt).reduce((n, r) => n + r.length, 0);
+  new DataView(bytes.buffer).setUint32(116, at, true);
+  return bytes;
+}
+
+const x = (name = 'x', real = [1, 2, 3]): Uint8Array => numericVar({ name, cls: CLASS.DOUBLE, dimensions: [1, real.length], real });
+
+/** The one violation `bytes` has, which has to be one. */
+function only(bytes: Uint8Array): MatViolation {
+  const found = checkMatFile(bytes);
+  expect(found).toHaveLength(1);
+  return found[0];
+}
+
+describe('bytes this test builds', () => {
+  it('are read where they are, in a view into a larger buffer', () => {
+    const bytes = file([x(), compressed(charVar('t', 'abc', 18))]);
+    const larger = new Uint8Array(bytes.length + 64);
+    larger.set(bytes, 32);
+    expect(checkMatFile(larger.subarray(32, 32 + bytes.length))).toEqual(checkMatFile(bytes));
+    expect(codes(bytes)).toEqual(['char-type']);
+  });
+
+  it('are clean when they follow every rule', () => {
+    const s = structVar('s', ['a', 'bb'], [{ a: x(''), bb: charVar('', 'héllo', MI.UTF16) }]);
+    const c = cellVar('c', [x(''), charVar('', 'a\u{1F600}b', MI.UTF8, [1, 4]), matrix([])]);
+    const sp = sparseVar({ name: 'sp', dimensions: [2, 2], ir: [0, 1], jc: [0, 1, 2], real: [1, 2] });
+    const i8 = numericVar({ name: 'i8', cls: CLASS.INT8, dimensions: [1, 2], real: [-5, 7] });
+    const narrowed = numericVar({ name: 'd', cls: CLASS.DOUBLE, dimensions: [1, 3], dataType: MI.UINT8, real: [1, 2, 3] });
+    expect(checkMatFile(file([x(), s, compressed(c), sp, i8, narrowed, compressed(subsystem())], 6))).toEqual([]);
+    expect(checkMatFile(file([]))).toEqual([]);
+  });
+});
+
+describe('the header', () => {
+  it('short-file: fewer than 128 bytes', () => {
+    expect(only(new Uint8Array(100))).toMatchObject({ code: 'short-file', at: 0 });
+  });
+
+  it('not-level5: a version or an endian mark that is not a Level-5 file\'s', () => {
+    const v = (b124: number, b125: number, b126 = 0x49, b127 = 0x4d) => {
+      const bytes = file([x()]);
+      bytes.set([b124, b125, b126, b127], 124);
+      return only(bytes);
+    };
+    expect(v(0x00, 0x00)).toMatchObject({ code: 'not-level5', at: 124 });
+    expect(v(0x00, 0x02).message).toContain('-v7.3');
+    expect(v(0x00, 0x01, 0x58, 0x58)).toMatchObject({ code: 'not-level5', at: 126 });
+    // 'MI' wants the version as 01 00: 00 01 with 'MI' is a version and a mark that disagree.
+    expect(v(0x00, 0x01, 0x4d, 0x49).message).toContain('disagree');
+  });
+
+  it('big-endian: noted, and nothing after the header checked', () => {
+    const bytes = file([rawRecord(MI.DOUBLE, new Uint8Array(8))]);
+    bytes.set([0x01, 0x00, 0x4d, 0x49], 124);
+    expect(only(bytes)).toMatchObject({ code: 'big-endian', at: 126 });
+  });
+
+  it('level4-lookalike: a zero 16-bit half in the first four bytes', () => {
+    for (const lead of [[0, 0, 0x41, 0x41], [0x41, 0x41, 0, 0]]) {
+      const bytes = file([x()]);
+      bytes.set(lead, 0);
+      expect(only(bytes)).toMatchObject({ code: 'level4-lookalike', at: 0 });
+    }
+    const one = file([x()]);
+    one.set([0, 0x41, 0x41, 0], 0);
+    expect(checkMatFile(one)).toEqual([]);
+  });
+});
+
+describe('framing', () => {
+  it('a record cut short', () => {
+    const bytes = file([x(), x('y')]);
+    expect(only(bytes.subarray(0, bytes.length - 8))).toMatchObject({ code: 'framing', at: 128 + x().length });
+  });
+
+  it('bytes after the last record: 1-7 of anything, or zeros MATLAB reads as a type-0 tag', () => {
+    for (const tail of [new Uint8Array([1, 2, 3]), new Uint8Array(5), new Uint8Array(8), new Uint8Array(100)]) {
+      const at = 128 + x().length;
+      expect(only(concat([file([x()]), tail]))).toMatchObject({ code: 'framing', at });
+    }
+  });
+
+  it('zero padding after a compressed record, which is never padded', () => {
+    const z = compressed(x());
+    const pad = new Uint8Array((8 - (z.length % 8)) % 8 || 8);
+    const found = checkMatFile(file([z, pad, compressed(x('y'))]));
+    expect(found).toEqual([expect.objectContaining({ code: 'framing', at: 128 + z.length })]);
+  });
+
+  it('a plain record missing its final pad', () => {
+    // A 1x1 uint8 whose data takes the small tag ends on a word boundary anyway, so take one
+    // whose data is 3 bytes, padded to 8, and cut the pad.
+    const el = numericVar({ name: 'u', cls: CLASS.UINT8, dimensions: [1, 3], real: [1, 2, 3] });
+    const cut = el.subarray(0, el.length - 5);
+    new DataView(cut.buffer, cut.byteOffset).setUint32(4, cut.length - 8, true);
+    expect(codes(file([cut]))).toEqual(['framing', 'nbytes']);
+  });
+
+  it('bytes after the subsystem\'s record, which MATLAB\'s load never reads', () => {
+    const found = checkMatFile(concat([file([x(), subsystem()], 1), new Uint8Array(8)]));
+    expect(found).toEqual([expect.objectContaining({ code: 'framing', message: expect.stringContaining('after the subsystem') })]);
+  });
+});
+
+describe('records', () => {
+  it('top-level-type: a record that is neither miMATRIX nor miCOMPRESSED', () => {
+    const found = checkMatFile(file([rawRecord(MI.DOUBLE, new Uint8Array(8)), x()]));
+    expect(found).toEqual([expect.objectContaining({ code: 'top-level-type', at: 128 })]);
+  });
+
+  it('empty-matrix: an miMATRIX of 0 bytes, plain or compressed', () => {
+    expect(only(file([rawRecord(MI.MATRIX, new Uint8Array(0)), x()]))).toMatchObject({ code: 'empty-matrix', at: 128 });
+    expect(only(file([compressed(rawRecord(MI.MATRIX, new Uint8Array(0)))]))).toMatchObject({ code: 'empty-matrix', at: 128 });
+    // A matrix inside another may be empty: MATLAB reads it as [].
+    expect(checkMatFile(file([cellVar('c', [matrix([])])]))).toEqual([]);
+  });
+
+  it('compressed-wrapper: raw deflate, gzip, or no zlib header', () => {
+    for (const wrap of [deflateSync, gzipSync, (b: Uint8Array) => concat([new Uint8Array([0x78, 0x00]), deflateSync(b)])]) {
+      expect(only(file([compressed(x(), wrap)]))).toMatchObject({ code: 'compressed-wrapper', at: 128 });
+    }
+  });
+
+  it('compressed-wrapper: a stream cut short, or bytes after it in the record', () => {
+    const z = zlibSync(x());
+    expect(only(file([rawRecord(MI.COMPRESSED, z.subarray(0, z.length - 6))])).message).toContain('does not inflate');
+    const after = only(file([rawRecord(MI.COMPRESSED, concat([z, new Uint8Array(4)]))]));
+    expect(after.message).toContain('checksum');
+    // The stream inflated, so the variable it holds is known, and said.
+    expect(after.variable).toBe('x');
+  });
+
+  it('compressed-wrapper: a payload that is not one matrix and nothing else', () => {
+    const el = x();
+    expect(only(file([compressed(concat([el, new Uint8Array(8)]))])).message).toContain('after its matrix');
+    expect(only(file([compressed(rawRecord(MI.DOUBLE, new Uint8Array(8)))])).message).toContain('miDOUBLE');
+    expect(only(file([compressed(compressed(el))])).message).toContain('another compressed record');
+    // Cut short, the matrix is said to be, and so is the sub-element it ends inside.
+    const cut = checkMatFile(file([compressed(el.subarray(0, el.length - 8))]));
+    expect(codesOf(cut)).toEqual(['compressed-wrapper', 'nbytes']);
+    expect(cut[0].message).toContain('cut short');
+    expect(only(file([compressed(new Uint8Array(4))])).message).toContain('fewer than one element');
+  });
+});
+
+describe('where records are', () => {
+  it('subsystem-offset: pointing where no record starts, past the file, or at a variable', () => {
+    const records = [x(), x('y'), subsystem()];
+    for (const offset of [129, 64, 1 << 20]) {
+      const found = checkMatFile(file(records, undefined, offset));
+      expect(codesOf(found)).toEqual(['anonymous-record', 'subsystem-offset']);
+      expect(found[0]).toMatchObject({ code: 'subsystem-offset', at: 116 });
+    }
+    const atVariable = checkMatFile(file(records, 1));
+    expect(atVariable[0].message).toContain('variable "y"');
+  });
+
+  it('subsystem-offset: pointing at an unnamed record that holds no subsystem data', () => {
+    // MATLAB reads the record there as the objects' data, and stops listing variables at it.
+    expect(codes(file([x(), x('')], 1))).toEqual(['anonymous-record', 'subsystem-offset']);
+  });
+
+  it('subsystem-offset: 0, with a subsystem in the file (and 8 spaces are 0)', () => {
+    const bytes = file([x(), subsystem()]);
+    expect(codes(bytes)).toEqual(['anonymous-record', 'subsystem-offset']);
+    bytes.fill(0x20, 116, 124);
+    expect(codes(bytes)).toEqual(['anonymous-record', 'subsystem-offset']);
+  });
+
+  it('subsystem-not-last: each variable after the subsystem, named', () => {
+    const found = checkMatFile(file([x(), subsystem(), x('late'), compressed(x('later'))], 1));
+    expect(found.map((v) => [v.code, v.variable])).toEqual([['subsystem-not-last', 'late'], ['subsystem-not-last', 'later']]);
+    expect(found[0].message).toContain('silently');
+  });
+
+  it('anonymous-record: an unnamed record where no subsystem is, and what it hides', () => {
+    const found = checkMatFile(file([x(), x(''), x('y'), x('z')]));
+    expect(found).toEqual([expect.objectContaining({ code: 'anonymous-record', at: 128 + x().length })]);
+    expect(found[0].message).toContain('the 2 record(s) after it');
+  });
+
+  it('duplicate-name: a name stored twice, at the later copy', () => {
+    const found = checkMatFile(file([x(), x('y'), compressed(x())]));
+    expect(found).toEqual([expect.objectContaining({ code: 'duplicate-name', variable: 'x', at: 128 + 2 * x().length })]);
+  });
+});
+
+describe('names', () => {
+  it('name: not an identifier, a keyword, or not UTF-8', () => {
+    for (const bad of ['1abc', 'has space', '_x', 'café', 'x-y']) {
+      expect(only(file([x(bad)]))).toMatchObject({ code: 'name', variable: bad });
+    }
+    expect(only(file([x('end')])).message).toContain('"end_"');
+    const latin1 = matrix([arrayFlags(CLASS.DOUBLE), dims([1, 1]), element(MI.INT8, new Uint8Array([0x63, 0x61, 0x66, 0xe9])), element(MI.DOUBLE, new Uint8Array(8))]);
+    expect(only(file([latin1])).message).toContain('crashes');
+  });
+
+  it('takes any identifier, however long', () => {
+    expect(checkMatFile(file([x('a'), x('A_1'), x('n'.repeat(70)), x('endx')]))).toEqual([]);
+  });
+});
+
+describe('char data', () => {
+  it('char-type: miUTF32, miUINT8, miINT8, or no text type at all', () => {
+    for (const type of [18, MI.UINT8, MI.INT8, MI.DOUBLE]) {
+      expect(only(file([charVar('t', 'abc', type)]))).toMatchObject({ code: 'char-type', variable: 't' });
+    }
+  });
+
+  it('char-type: miUINT16 above U+00FF, which MATLAB keeps the low byte of, or fails on', () => {
+    expect(checkMatFile(file([charVar('t', 'héllo', MI.UINT16)]))).toEqual([]);
+    expect(only(file([charVar('t', '日本語', MI.UINT16)])).message).toContain('U+65E5');
+    expect(only(file([charVar('t', 'a\u{1F600}b', MI.UINT16, [1, 4])])).message).toContain('U+D83D');
+  });
+
+  it('char-type: miUTF8 that is not UTF-8, and a complex char array', () => {
+    const notUtf8 = matrix([arrayFlags(CLASS.CHAR), dims([1, 2]), varName('t'), element(MI.UTF8, new Uint8Array([0xc3, 0x28]))]);
+    expect(only(file([notUtf8])).message).toContain('not valid UTF-8');
+    const twoParts = matrix([arrayFlags(CLASS.CHAR, { complex: true }), dims([1, 1]), varName('t'), element(MI.UTF16, new Uint8Array(2)), element(MI.UTF16, new Uint8Array(2))]);
+    expect(only(file([twoParts])).message).toContain('complex');
+  });
+
+  it('utf8-count: miUTF8 whose UTF-16 length is not the element count', () => {
+    expect(only(file([charVar('t', 'héllo', MI.UTF8, [1, 6])]))).toMatchObject({ code: 'utf8-count' });
+    // An emoji is two UTF-16 units: dims [1 3] for 'a', U+1F600, 'b' is one short.
+    expect(only(file([charVar('t', 'a\u{1F600}b', MI.UTF8, [1, 3])]))).toMatchObject({ code: 'utf8-count' });
+    expect(checkMatFile(file([charVar('t', 'a\u{1F600}b', MI.UTF8, [1, 4])]))).toEqual([]);
+  });
+
+  it('data-size: miUTF16 or miUINT16 of another length than the element count', () => {
+    expect(only(file([charVar('t', 'abc', MI.UTF16, [1, 4])]))).toMatchObject({ code: 'data-size' });
+    expect(only(file([charVar('t', 'abc', MI.UINT16, [1, 2])]))).toMatchObject({ code: 'data-size' });
+  });
+
+  it('applies at any depth, and says whose it is', () => {
+    const deep = structVar('s', ['c'], [{ c: cellVar('', [x(''), charVar('', 'abc', 18)]) }]);
+    expect(only(file([compressed(deep)]))).toMatchObject({ code: 'char-type', variable: 's', at: 128 });
+  });
+});
+
+describe('numeric data', () => {
+  it('int-storage: every class but double in its own type only', () => {
+    const cases: [number, number, { logical?: boolean }][] = [
+      [CLASS.INT8, MI.UINT8, {}],
+      [CLASS.UINT8, MI.INT8, {}],
+      [CLASS.INT32, MI.INT16, {}],
+      [CLASS.UINT64, MI.DOUBLE, {}],
+      [CLASS.SINGLE, MI.DOUBLE, {}],
+      [CLASS.UINT8, MI.DOUBLE, { logical: true }],
+    ];
+    for (const [cls, dataType, opts] of cases) {
+      const v = numericVar({ name: 'v', cls, dimensions: [1, 2], dataType, real: [1, 2], ...opts });
+      expect(only(file([v]))).toMatchObject({ code: 'int-storage', variable: 'v' });
+    }
+    const imag = numericVar({ name: 'v', cls: CLASS.INT16, dimensions: [1, 1], real: [1], imag: [2] });
+    expect(checkMatFile(file([imag]))).toEqual([]);
+  });
+
+  it('takes a double in any numeric type', () => {
+    for (const dataType of [MI.INT8, MI.UINT8, MI.INT16, MI.UINT16, MI.INT32, MI.UINT32, MI.SINGLE, MI.INT64, MI.UINT64]) {
+      const v = numericVar({ name: 'v', cls: CLASS.DOUBLE, dimensions: [1, 2], dataType, real: [1, 2], imag: [3, 4] });
+      expect(checkMatFile(file([v]))).toEqual([]);
+    }
+  });
+
+  it('data-size: more or fewer elements than the dimensions say', () => {
+    expect(only(file([numericVar({ name: 'v', cls: CLASS.DOUBLE, dimensions: [1, 3], real: [1, 2] })]))).toMatchObject({ code: 'data-size' });
+    expect(only(file([numericVar({ name: 'v', cls: CLASS.INT8, dimensions: [1, 1], real: [1, 2] })]))).toMatchObject({ code: 'data-size' });
+    const ragged = numericVar({ name: 'v', cls: CLASS.INT16, dimensions: [1, 1], rawReal: new Uint8Array(3), real: [] });
+    expect(only(file([ragged]))).toMatchObject({ code: 'data-size' });
+  });
+
+  it('element: a double whose data is no numeric type', () => {
+    const v = numericVar({ name: 'v', cls: CLASS.DOUBLE, dimensions: [1, 1], dataType: MI.UTF8, rawReal: new Uint8Array(8), real: [] });
+    expect(only(file([v]))).toMatchObject({ code: 'element' });
+  });
+
+  it('sparse: column starts one per column and one more, non-zeros as many as row indices', () => {
+    expect(only(file([sparseVar({ name: 'sp', dimensions: [2, 2], ir: [0, 1], jc: [0, 2], real: [1, 2] })]))).toMatchObject({ code: 'data-size' });
+    expect(only(file([sparseVar({ name: 'sp', dimensions: [2, 2], ir: [0, 1], jc: [0, 1, 2], real: [1] })]))).toMatchObject({ code: 'data-size' });
+    const logical = sparseVar({ name: 'sp', dimensions: [2, 2], ir: [0], jc: [0, 1, 1], real: [1], logical: true });
+    expect(only(file([logical]))).toMatchObject({ code: 'int-storage' });
+    const single = sparseVar({ name: 'sp', dimensions: [2, 2], ir: [0], jc: [0, 1, 1], real: [1], cls: CLASS.SINGLE, sparseFlag: true, dataType: MI.SINGLE });
+    expect(checkMatFile(file([single]))).toEqual([]);
+    const int8 = sparseVar({ name: 'sp', dimensions: [2, 2], ir: [0], jc: [0, 1, 1], real: [1], cls: CLASS.INT8, sparseFlag: true, dataType: MI.INT8 });
+    expect(only(file([int8])).message).toContain('double, single and logical');
+  });
+});
+
+describe('the shape of a matrix', () => {
+  const body = (subs: Uint8Array[]) => file([matrix(subs)]);
+  const flags = arrayFlags(CLASS.DOUBLE);
+  const d11 = dims([1, 1]);
+  const one = element(MI.DOUBLE, new Uint8Array(8));
+
+  it('nbytes: bytes after the last sub-element, or a sub-element past the matrix\'s end', () => {
+    expect(only(body([flags, d11, varName('v'), one, new Uint8Array(8)]))).toMatchObject({ code: 'nbytes', variable: 'v' });
+    const over = matrix([flags, d11, varName('v'), one]);
+    new DataView(over.buffer).setUint32(over.length - 12, 16, true);
+    expect(only(file([over]))).toMatchObject({ code: 'nbytes' });
+  });
+
+  it('nbytes: a container holding fewer members than it declares', () => {
+    expect(only(file([cellVar('c', [x(''), x('')], [1, 3])])).message).toContain('2 of the 3');
+    const short = structVar('s', ['a', 'b'], [{ a: x(''), b: x('') }], [1, 2]);
+    expect(only(file([short])).message).toContain('2 of the 4');
+  });
+
+  it('element: array flags, dimensions or a name of the wrong type', () => {
+    expect(only(body([element(MI.INT32, new Uint8Array(8)), d11, varName('v'), one]))).toMatchObject({ code: 'element' });
+    expect(only(body([flags, element(MI.UINT32, new Uint8Array(8)), varName('v'), one]))).toMatchObject({ code: 'element' });
+    expect(only(body([flags, dims([3]), varName('v'), one]))).toMatchObject({ code: 'element' });
+    expect(only(body([flags, dims([1, -1]), varName('v'), one]))).toMatchObject({ code: 'element' });
+    expect(only(body([flags, d11, element(MI.UTF8, new TextEncoder().encode('v')), one]))).toMatchObject({ code: 'element' });
+  });
+
+  it('element: an array class MATLAB has none of', () => {
+    for (const cls of [0, 18, 255]) {
+      const f = new Uint8Array(16);
+      f.set(arrayFlags(CLASS.DOUBLE));
+      f[8] = cls;
+      expect(only(body([f, d11, varName('v'), one])).message).toContain(`class is ${cls}`);
+    }
+  });
+
+  it('element: a small tag declaring more than its 4 bytes', () => {
+    const small = new Uint8Array(8);
+    new DataView(small.buffer).setUint32(0, (5 << 16) | MI.DOUBLE, true);
+    expect(only(body([flags, d11, varName('v'), small]))).toMatchObject({ code: 'element' });
+    // MATLAB's own small tags read as they should.
+    const tiny = new Uint8Array(8);
+    new DataView(tiny.buffer).setUint32(0, (1 << 16) | MI.UINT8, true);
+    tiny[4] = 7;
+    const name = new Uint8Array(8);
+    new DataView(name.buffer).setUint32(0, (2 << 16) | MI.INT8, true);
+    name.set([0x61, 0x62], 4);
+    expect(checkMatFile(body([flags, d11, name, tiny]))).toEqual([]);
+  });
+
+  it('element: a cell member, struct field or object part that is not a matrix', () => {
+    expect(only(file([cellVar('c', [one])]))).toMatchObject({ code: 'element' });
+    // Padded to 8, so the struct around it is a whole number of words, as a plain record is.
+    const z = compressed(x(''));
+    const member = concat([z, new Uint8Array((8 - (z.length % 8)) % 8)]);
+    expect(only(file([structVar('s', ['a'], [{ a: member }])]))).toMatchObject({ code: 'element' });
+  });
+
+  it('element: a struct with field names and a field-name length of 0', () => {
+    const s = matrix([arrayFlags(CLASS.STRUCT), d11, varName('s'), element(MI.INT32, new Uint8Array(4)), element(MI.INT8, new TextEncoder().encode('a'))]);
+    expect(only(file([s]))).toMatchObject({ code: 'element' });
+  });
+
+  it('reads an opaque as MATLAB writes one: no dimensions, then two names and one matrix', () => {
+    const name = (s: string) => element(MI.INT8, new TextEncoder().encode(s));
+    const handle = numericVar({ name: '', cls: CLASS.UINT32, dimensions: [6, 1], real: [0xdd000000, 2, 1, 1, 1, 1] });
+    const opaque = (parts: Uint8Array[]) => matrix([arrayFlags(CLASS.OPAQUE), varName('o'), ...parts]);
+    expect(checkMatFile(file([opaque([name('MCOS'), name('string'), handle]), subsystem()], 1))).toEqual([]);
+    expect(only(file([opaque([name('MCOS'), element(MI.INT8, new Uint8Array(0)), handle]), subsystem()], 1))).toMatchObject({ code: 'element' });
+    expect(only(file([opaque([name('MCOS'), name('string')]), subsystem()], 1)).message).toContain('0 of the 1');
+  });
+
+  it('checks the subsystem\'s stream too, for no variable', () => {
+    const found = checkMatFile(file([x(), compressed(subsystem([charVar('', 'abc', 18)]))], 1));
+    expect(found).toEqual([expect.objectContaining({ code: 'char-type', at: 128 + x().length })]);
+    expect(found[0].variable).toBeUndefined();
+    expect(found[0].message).toContain('in the subsystem');
+  });
+});
+
+describe('bounded, and never a throw', () => {
+  it('budget: past the matrices it may walk, a note where it stopped and nothing after', () => {
+    const c = cellVar('c', Array.from({ length: 10 }, () => x('')));
+    const bad = charVar('t', 'abc', 18);
+    expect(checkMatFile(file([c, bad]))).toEqual([expect.objectContaining({ code: 'char-type' })]);
+    const found = checkMatFile(file([c, bad]), { maxElements: 5 });
+    expect(found).toEqual([expect.objectContaining({ code: 'budget' })]);
+    // At the member it stopped at, inside the cell's record, and before the char array.
+    expect(found[0].at).toBeGreaterThan(128);
+    expect(found[0].at).toBeLessThan(128 + c.length);
+    expect(found[0].message).toContain('5 matrices');
+  });
+
+  it('budget: past the bytes it may inflate', () => {
+    const big = compressed(numericVar({ name: 'z', cls: CLASS.DOUBLE, dimensions: [1, 4096], real: new Array(4096).fill(0) }));
+    expect(checkMatFile(file([x(), big]))).toEqual([]);
+    const found = checkMatFile(file([x(), big]), { maxInflatedBytes: 1000 });
+    expect(found).toEqual([expect.objectContaining({ code: 'budget', at: 128 + x().length })]);
+  });
+
+  it('budget: past the nesting it reads', () => {
+    let deep = x('');
+    for (let i = 0; i < 200; i++) deep = cellVar('', [deep]);
+    const top = cellVar('c', [deep]);
+    expect(codes(file([top]))).toEqual(['budget']);
+  });
+
+  it('spends a member that is an empty matrix, so a billion of them stops', () => {
+    const empties = cellVar('c', Array.from({ length: 1000 }, () => matrix([])));
+    expect(checkMatFile(file([empties]))).toEqual([]);
+    expect(codesOf(checkMatFile(file([empties]), { maxElements: 100 }))).toEqual(['budget']);
+  });
+
+  it('never throws on a file cut at any length', () => {
+    for (const name of ['matlab-objects.mat', 'plain-uncompressed.mat', 'matlab-append-v6-onto-v7.mat']) {
+      const whole = read(join(CORPUS, name));
+      for (let n = 0; n <= whole.length; n++) {
+        const found = checkMatFile(whole.subarray(0, n));
+        expect(found.some((v) => v.message.includes('an error in the check itself'))).toBe(false);
+        // A file of objects cut anywhere is broken: before its subsystem the header's offset
+        // points past its end, and in it the subsystem's record is cut short. A file without
+        // one is whole again when it is cut between two records.
+        if (name === 'matlab-objects.mat' && n < whole.length) expect(found.length).toBeGreaterThan(0);
+      }
+    }
+  });
+
+  it('never throws on a file with any byte changed', () => {
+    // A fixed seed, so a failure reproduces.
+    let seed = 0x2f6b1d;
+    const random = () => {
+      seed = (seed * 1103515245 + 12345) & 0x7fffffff;
+      return seed / 0x80000000;
+    };
+    for (const name of ['plain-uncompressed.mat', 'objects-uncompressed.mat', 'matlab-plain.mat']) {
+      const whole = read(join(CORPUS, name));
+      for (let trial = 0; trial < 400; trial++) {
+        const bytes = whole.slice();
+        for (let k = 0; k < 1 + Math.floor(random() * 4); k++) {
+          bytes[128 + Math.floor(random() * (bytes.length - 128))] = Math.floor(random() * 256);
+        }
+        const found = checkMatFile(bytes);
+        expect(found.some((v) => v.message.includes('an error in the check itself'))).toBe(false);
+      }
+    }
+  });
+});
+
+describe('violationsAdded: what a rewrite added', () => {
+  const bad = (name: string) => charVar(name, 'abc', 18);
+
+  it('matches by code and variable, wherever the record moved', () => {
+    const before = checkMatFile(file([x(), bad('t')]));
+    const after = checkMatFile(file([x('a_longer_name'), x('y'), compressed(bad('t'))]));
+    expect(after[0].at).not.toBe(before[0].at);
+    expect(violationsAdded(before, after)).toEqual([]);
+    expect(violationsAdded(before, checkMatFile(file([x()])))).toEqual([]);
+  });
+
+  it('counts, and follows a rename', () => {
+    const before = checkMatFile(file([x(), bad('t')]));
+    const twice = checkMatFile(file([x(), bad('t'), x('y'), bad('u')]));
+    expect(violationsAdded(before, twice)).toEqual([expect.objectContaining({ code: 'char-type', variable: 'u' })]);
+    const renamed = checkMatFile(file([x(), bad('t2')]));
+    expect(violationsAdded(before, renamed)).toHaveLength(1);
+    expect(violationsAdded(before, renamed, new Map([['t2', 't']]))).toEqual([]);
+  });
+
+  it('always adds a budget note', () => {
+    const c = cellVar('c', Array.from({ length: 10 }, () => x('')));
+    const before = checkMatFile(file([c]), { maxElements: 5 });
+    const after = checkMatFile(file([c]), { maxElements: 5 });
+    expect(violationsAdded(before, after)).toEqual([expect.objectContaining({ code: 'budget' })]);
+  });
+});
diff --git a/test/matFileSave.test.ts b/test/matFileSave.test.ts
new file mode 100644
index 00000000..fd221c8c
--- /dev/null
+++ b/test/matFileSave.test.ts
@@ -0,0 +1,896 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// A save of a `.mat` (session.serializeSource on a MatNode, MatFileWriter.serializeMatFile):
+// the file it was read from, with what was edited written fresh and every record nobody touched
+// written as the bytes it was read from.
+//
+// The first sweep holds every Level-5 fixture to the strictest form of that: saved with no edit,
+// a file is itself, byte for byte. Then each kind of edit, on cases.mat and on files of objects
+// and function handles, read back: the edited value is what the save wrote, every other record is
+// its own bytes, in its own order, and the subsystem is last, where the header says it is. A
+// `-v6` file, which holds no compressed record, stays one. Then every refusal: a save that cannot
+// write a variable as what it is throws, naming it, and hands back nothing.
+
+import { describe, it, expect } from 'vitest';
+import { readFileSync, readdirSync } from 'node:fs';
+import { join } from 'node:path';
+import { fileURLToPath } from 'node:url';
+import { parseMat } from '../src/datamodel/parser/MatParser.js';
+import type { MatRecord, ParsedMat } from '../src/datamodel/parser/MatParser.js';
+import { encodeMatStream, MatBudgetError, MatWriteError } from '../src/datamodel/parser/MatWriter.js';
+import { compressedRecordOf, serializeMatFile } from '../src/datamodel/parser/MatFileWriter.js';
+import { checkMatFile, violationsAdded } from '../src/datamodel/parser/MatFileCheck.js';
+import { createSession } from '../src/index.js';
+import { CLASS, MI, cellVar, matFile, numericVar, u32le } from './tools/matBytes.js';
+
+const TEST_ROOT = fileURLToPath(new URL('.', import.meta.url));
+
+// Every `.mat` under test/, recursively, so a fixture added later is swept by default. But not
+// test/fixtures/mat-check, MATLAB's verdict corpus, of files edited to break its load rules on
+// purpose (test/matFileCheck.test.ts), which has a sweep of its own below.
+const MAT_CHECK = join(TEST_ROOT, 'fixtures', 'mat-check');
+function matFilesUnder(dir: string): string[] {
+  const out: string[] = [];
+  for (const entry of readdirSync(dir, { withFileTypes: true })) {
+    const abs = join(dir, entry.name);
+    if (entry.isDirectory()) {
+      if (abs !== MAT_CHECK) {
+        out.push(...matFilesUnder(abs));
+      }
+    } else if (entry.isFile() && entry.name.endsWith('.mat')) {
+      out.push(abs);
+    }
+  }
+  return out.sort();
+}
+
+// The one file of the corpus the reader refuses: a `-v7.3` file is HDF5, not Level 5.
+const REFUSED = new Set(['strings_v73.mat']);
+
+const shown = (abs: string) => abs.slice(TEST_ROOT.length);
+const basename = (abs: string) => abs.slice(abs.lastIndexOf('/') + 1);
+
+function arrayBufferOf(bytes: Uint8Array): ArrayBuffer {
+  return bytes.buffer.slice(bytes.byteOffset, bytes.byteOffset + bytes.byteLength) as ArrayBuffer;
+}
+
+function concat(parts: Uint8Array[]): Uint8Array {
+  const out = new Uint8Array(parts.reduce((n, p) => n + p.byteLength, 0));
+  let at = 0;
+  for (const p of parts) {
+    out.set(p, at);
+    at += p.byteLength;
+  }
+  return out;
+}
+
+const sameBytes = (a: Uint8Array, b: Uint8Array) => a.byteLength === b.byteLength && a.every((x, i) => x === b[i]);
+
+const fixture = (rel: string) => arrayBufferOf(new Uint8Array(readFileSync(join(TEST_ROOT, rel))));
+const CASES = 'parity/artifacts/mat/cases.mat';
+
+const scalar = (name: string, value: number) => numericVar({ name, cls: CLASS.DOUBLE, dimensions: [1, 1], real: [value] });
+
+/** A MatNode opened from `bytes` through the session, as a host opens one, and its edits. */
+function opened(bytes: ArrayBuffer, name = 'f.mat') {
+  const session = createSession();
+  const root: any = session.addMatSource(name, bytes);
+  const by = (n: string) => root.children.find((c: any) => c.name === n);
+  const edit = (node: any, prop: string, value: string) => {
+    session.setActive(root, node);
+    return session.editProperty(node.id, prop, value);
+  };
+  const remove = (node: any) => {
+    session.setActive(root, node);
+    return session.deleteNodeById(node.id);
+  };
+  // What session.serializeSource hands back for it, which for a MAT-file is always bytes, and
+  // which by the rules MATLAB loads a file by (MatFileCheck) is no worse than the file it was
+  // read from: as clean as every fixture here is, and adding nothing to one that is not.
+  const save = (): Uint8Array => {
+    const out = session.serializeSource(name)!;
+    expect([out.kind, out.sourceFormat]).toEqual(['binary', 'mat']);
+    const saved = (out as { bytes: Uint8Array }).bytes;
+    const before = checkMatFile(new Uint8Array(bytes));
+    const after = checkMatFile(saved);
+    expect(before.length === 0 ? after : violationsAdded(before, after)).toEqual([]);
+    return saved;
+  };
+  return { session, root, by, edit, remove, save };
+}
+
+/** `bytes`, read again: the parse, and a tree of it, as a host reopening the saved file has. */
+function reopened(bytes: Uint8Array) {
+  const parsed = parseMat(arrayBufferOf(bytes));
+  const { root, by } = opened(arrayBufferOf(bytes), 'saved.mat');
+  return { parsed, root, by };
+}
+
+/** What a variable of `bytes` reads back as, by the reader itself: its class, size and value. */
+const variableOf = (parsed: ParsedMat, name: string) => {
+  const v = parsed.variables.find((x) => x.name === name);
+  expect(v, name).toBeDefined();
+  return v!;
+};
+
+/**
+ * Every record of `original` but the ones named `was` is in `saved`, in the same order, as the
+ * bytes it was read from; `is` names the records of `saved` that are not (edited, renamed,
+ * added).
+ */
+function expectKept(original: ParsedMat, saved: ParsedMat, { was = [] as string[], is = [] as string[] } = {}) {
+  const before = original.records.filter((r) => !was.includes(r.name!));
+  const after = saved.records.filter((r) => !is.includes(r.name!));
+  expect(after.map((r) => r.name)).toEqual(before.map((r) => r.name));
+  after.forEach((r, i) => expect(sameBytes(r.bytes, before[i].bytes), String(r.name)).toBe(true));
+}
+
+/** The subsystem is the file's last record, unnamed, and where its header says it is. */
+function expectSubsystemLast(saved: ParsedMat) {
+  const last: MatRecord = saved.records[saved.records.length - 1];
+  expect([last.anonymous, last.name, saved.subsystemOffset]).toEqual([true, '', last.offset]);
+  expect(saved.records.filter((r) => r.anonymous)).toEqual([last]);
+}
+
+/** The thrown error of `fn`, which must throw. */
+function thrownBy(fn: () => unknown): Error {
+  try {
+    fn();
+  } catch (e) {
+    return e as Error;
+  }
+  throw new Error('did not throw');
+}
+
+describe('a file saved with no edit is the file, byte for byte', () => {
+  const files = matFilesUnder(TEST_ROOT).filter((f) => !REFUSED.has(basename(f)));
+
+  it('sweeps the whole corpus', () => {
+    // Lower bounds, so that a mis-filtered list cannot pass the sweep below vacuously.
+    expect(files.length).toBeGreaterThanOrEqual(30);
+    expect(files.map(basename)).toEqual(expect.arrayContaining(['cases.mat', 'Param.mat', 'strings.mat', 'nested_handles.mat']));
+  });
+
+  for (const file of files) {
+    it(shown(file), () => {
+      const input = fixture(shown(file));
+      const { save } = opened(input, basename(file));
+      const bytes = save();
+      expect(sameBytes(bytes, new Uint8Array(input))).toBe(true);
+      // A copy, not a view of what the file was read from: a host may write it anywhere.
+      expect(bytes.buffer).not.toBe(input);
+    });
+  }
+
+  it('a rename undone, the file as it was', () => {
+    const input = fixture(CASES);
+    const { session, by, edit, save } = opened(input, 'cases.mat');
+    expect(edit(by('kp'), 'Name', 'kp2')).toBe(true);
+    session.undo();
+    expect([by('kp').name, by('kp').status]).toEqual(['kp', 'Modified']);
+    expect(sameBytes(save(), new Uint8Array(input))).toBe(true);
+  });
+
+  it('a variable deleted and its delete undone, the file as it was', () => {
+    const input = fixture(CASES);
+    const { session, by, remove, save } = opened(input, 'cases.mat');
+    expect(remove(by('aParam'))).toBe(true);
+    session.undo();
+    expect(sameBytes(save(), new Uint8Array(input))).toBe(true);
+  });
+});
+
+describe('every variable of every fixture, renamed or written fresh, reads back as itself', () => {
+  const files = matFilesUnder(TEST_ROOT).filter((f) => !REFUSED.has(basename(f)));
+  // What a host is shown of a file: each variable's name, node class, class, size and value.
+  const shownAs = (root: any) => root.children.map((c: any) => [c.name, c.constructor.name, c.className, c.displayValue]);
+
+  for (const file of files) {
+    it(`${shown(file)}: every variable renamed, in one save`, () => {
+      const { root, edit, save } = opened(fixture(shown(file)), basename(file));
+      const before = shownAs(root);
+      root.children.forEach((node: any, i: number) => expect(edit(node, 'Name', 'renamed' + i)).toBe(true));
+      const { root: again } = reopened(save());
+      expect(shownAs(again)).toEqual(before.map(([, ...rest]: any[], i: number) => ['renamed' + i, ...rest]));
+    });
+
+    it(`${shown(file)}: every plain variable written fresh, in one save`, () => {
+      const { root, save } = opened(fixture(shown(file)), basename(file));
+      const before = shownAs(root);
+      // An edit that leaves the value as it was, as an undone one does: written fresh all the
+      // same (DataNode._valueEdited). Of what MatWriter can write as what it is: an object, a
+      // string, a function handle refuse the save (below).
+      const plain = root.children.filter((n: any) => n._matWritable?.() === true && !root.recordOf(n).variable.isOpaque);
+      plain.forEach((node: any) => node._markModified());
+      const bytes = save();
+      const { parsed, root: again } = reopened(bytes);
+      expect(shownAs(again)).toEqual(before);
+      const original = parseMat(fixture(shown(file)));
+      const names = plain.map((n: any) => n.name);
+      expectKept(original, parsed, { was: names, is: names });
+    });
+  }
+});
+
+describe('cases.mat: an edit is written, and every record it did not touch is its own bytes', () => {
+  const original = parseMat(fixture(CASES));
+  const casesMat = () => opened(fixture(CASES), 'cases.mat');
+
+  it('a value edit', () => {
+    const { by, edit, save } = casesMat();
+    expect(edit(by('kp'), 'Value', '9')).toBe(true);
+    const { parsed, by: again } = reopened(save());
+    expect(variableOf(parsed, 'kp')).toMatchObject({ className: 'double', dimensions: [1, 1], value: 9 });
+    expect(again('kp').displayValue).toBe('9');
+    expectKept(original, parsed, { was: ['kp'], is: ['kp'] });
+    expectSubsystemLast(parsed);
+    // Written where it was, compressed, as every record of a `-v7` file is.
+    expect(parsed.records.map((r) => r.name)).toEqual(original.records.map((r) => r.name));
+    expect(parsed.records.find((r) => r.name === 'kp')!.compressed).toBe(true);
+  });
+
+  const childEdits: [string, string, (by: (n: string) => any) => any, (v: any) => void][] = [
+    ['a matrix element', 'mat2x3', (by) => by('mat2x3').children[0], (v) => expect(v.value).toEqual([9, 2, 3, 4, 5, 6])],
+    ['a struct field', 'structScalar', (by) => by('structScalar').children[0], (v) => expect(v.fields.a.value).toBe(9)],
+    ['a cell member', 'cellFlat', (by) => by('cellFlat').children[0], (v) => expect(v.value[0].value).toBe(9)],
+    [
+      "a struct array element's field",
+      'struct1x3',
+      (by) => by('struct1x3').children[1].children[0],
+      (v) => expect(v.fields.a.map((f: any) => f.value)).toEqual([1, 9, 3]),
+    ],
+  ];
+  for (const [what, name, target, check] of childEdits) {
+    it(what, () => {
+      const { by, edit, save } = casesMat();
+      expect(edit(target(by), 'Value', '9')).toBe(true);
+      const { parsed } = reopened(save());
+      check(variableOf(parsed, name));
+      expectKept(original, parsed, { was: [name], is: [name] });
+      expectSubsystemLast(parsed);
+    });
+  }
+
+  it('a reshape', () => {
+    const { by, edit, save } = casesMat();
+    expect(edit(by('rowVec'), 'Value', '[1 2; 3 4]')).toBe(true);
+    const { parsed, by: again } = reopened(save());
+    expect(variableOf(parsed, 'rowVec')).toMatchObject({ className: 'double', dimensions: [2, 2], value: [1, 2, 3, 4] });
+    expect(again('rowVec').displayValue).toBe('[1 2; 3 4]');
+    expectKept(original, parsed, { was: ['rowVec'], is: ['rowVec'] });
+  });
+
+  it('a class change', () => {
+    const { by, edit, save } = casesMat();
+    expect(edit(by('charStr'), 'Value', '[1 2]')).toBe(true);
+    const { parsed } = reopened(save());
+    expect(variableOf(parsed, 'charStr')).toMatchObject({ className: 'double', dimensions: [1, 2], value: [1, 2] });
+    expectKept(original, parsed, { was: ['charStr'], is: ['charStr'] });
+  });
+
+  it('a field added to a struct', () => {
+    const { session, root, by, save } = casesMat();
+    session.setActive(root, by('structScalar'));
+    expect(session.addChildTo(by('structScalar').id)).not.toBeNull();
+    const { parsed } = reopened(save());
+    expect(Object.keys(variableOf(parsed, 'structScalar').fields!)).toEqual(Object.keys(by('structScalar')._var.fields));
+    expect(Object.keys(variableOf(parsed, 'structScalar').fields!).length).toBe(3);
+    expectKept(original, parsed, { was: ['structScalar'], is: ['structScalar'] });
+  });
+
+  it('a rename: the element as it was read, named anew, and compressed again', () => {
+    const { by, edit, save } = casesMat();
+    expect(edit(by('kp'), 'Name', 'kp2')).toBe(true);
+    const { parsed, by: again } = reopened(save());
+    expect(parsed.records.map((r) => r.name)).toEqual(original.records.map((r) => (r.name === 'kp' ? 'kp2' : r.name)));
+    expect(variableOf(parsed, 'kp2')).toMatchObject({ className: 'double', value: 1.5 });
+    expect(again('kp2').displayValue).toBe('1.5');
+    expect(parsed.records.find((r) => r.name === 'kp2')!.compressed).toBe(true);
+    // The value's bytes are the ones read: the name subelement, the small element at bytes 40-47
+    // after the tag, the flags and the dims, is all that changed. Both names fit in it.
+    const was = variableOf(original, 'kp')._rawBytes!;
+    const is = variableOf(parsed, 'kp2')._rawBytes!;
+    expect(is.byteLength).toBe(was.byteLength);
+    expect([sameBytes(is.subarray(0, 40), was.subarray(0, 40)), sameBytes(is.subarray(40, 48), was.subarray(40, 48))]).toEqual([true, false]);
+    expect(sameBytes(is.subarray(48), was.subarray(48))).toBe(true);
+    expectKept(original, parsed, { was: ['kp'], is: ['kp2'] });
+    expectSubsystemLast(parsed);
+  });
+
+  it("an object variable's rename: the same object, its subsystem as it was", () => {
+    const { by, edit, save } = casesMat();
+    const value = by('aParam').getPropInfo(by('aParam').getProperties().find((p: any) => p.key === 'Value' || p.name === 'Value')).displayValue;
+    expect(edit(by('aParam'), 'Name', 'renamedParam')).toBe(true);
+    const { parsed, by: again } = reopened(save());
+    const node = again('renamedParam');
+    expect([node.constructor.name, node.className]).toEqual(['ParameterNode', 'Simulink.Parameter']);
+    expect(node.getPropInfo(node.getProperties().find((p: any) => p.key === 'Value' || p.name === 'Value')).displayValue).toBe(value);
+    expect(again('aParam')).toBeUndefined();
+    expectKept(original, parsed, { was: ['aParam'], is: ['renamedParam'] });
+    expectSubsystemLast(parsed);
+  });
+
+  it("a string's rename", () => {
+    const { by, edit, save } = casesMat();
+    const shownAs = by('strScalar').displayValue;
+    expect(edit(by('strScalar'), 'Name', 'str2')).toBe(true);
+    const { parsed, by: again } = reopened(save());
+    expect([again('str2').className, again('str2').displayValue]).toEqual(['string', shownAs]);
+    expectKept(original, parsed, { was: ['strScalar'], is: ['str2'] });
+  });
+
+  it('a delete, of a plain variable and of an object variable', () => {
+    const { by, remove, save } = casesMat();
+    expect(remove(by('kp'))).toBe(true);
+    expect(remove(by('aParam'))).toBe(true);
+    const { parsed, root } = reopened(save());
+    expect(parsed.records.map((r) => r.name)).toEqual(original.records.map((r) => r.name).filter((n) => n !== 'kp' && n !== 'aParam'));
+    expect(root.children.length).toBe(original.records.length - 3);
+    expectKept(original, parsed, { was: ['kp', 'aParam'] });
+    // The subsystem, as it was, at its new offset: an object no variable holds any more is
+    // one MATLAB writes itself.
+    expectSubsystemLast(parsed);
+    expect(parsed.subsystemOffset).toBeLessThan(original.subsystemOffset);
+  });
+
+  it('an edit undone: the value read, written fresh', () => {
+    const { session, by, edit, save } = casesMat();
+    expect(edit(by('mat2x3').children[0], 'Value', '9')).toBe(true);
+    session.undo();
+    expect(by('mat2x3')._valueEdited).toBe(true);
+    const { parsed } = reopened(save());
+    expect(variableOf(parsed, 'mat2x3')).toMatchObject({ dimensions: [2, 3], value: [1, 2, 3, 4, 5, 6] });
+    expectKept(original, parsed, { was: ['mat2x3'], is: ['mat2x3'] });
+  });
+
+  it('a variable added, after the last one and before the subsystem', () => {
+    const { root, save } = casesMat();
+    root.execAddEntry();
+    root.execAddEntry(undefined, 'second');
+    const { parsed, by: again } = reopened(save());
+    const names = parsed.records.map((r) => r.name);
+    expect(names.slice(-3)).toEqual(['var', 'second', '']);
+    expect(again('var').displayValue).toBe(root.children.find((c: any) => c.name === 'var').displayValue);
+    expect(parsed.records.find((r) => r.name === 'var')!.compressed).toBe(true);
+    expectKept(original, parsed, { is: ['var', 'second'] });
+    expectSubsystemLast(parsed);
+  });
+
+  it('several edits at once', () => {
+    const { root, by, edit, remove, save } = casesMat();
+    expect(edit(by('kp'), 'Value', '[7 8]')).toBe(true);
+    expect(edit(by('scalarD'), 'Name', 'renamedD')).toBe(true);
+    expect(edit(by('cellFlat').children[2], 'Value', "'x'")).toBe(true);
+    expect(edit(by('aSignal'), 'Name', 'sig2')).toBe(true);
+    expect(remove(by('negD'))).toBe(true);
+    expect(remove(by('objRow'))).toBe(true);
+    root.execAddEntry(undefined, 'added');
+    const { parsed } = reopened(save());
+    expect(variableOf(parsed, 'kp')).toMatchObject({ dimensions: [1, 2], value: [7, 8] });
+    expect(variableOf(parsed, 'renamedD').value).toBe(variableOf(original, 'scalarD').value);
+    expect(variableOf(parsed, 'cellFlat').value).toMatchObject([{ value: 1 }, { value: 'two' }, { className: 'char', value: 'x' }]);
+    expect(parsed.records.map((r) => r.name)).toEqual([
+      ...original.records
+        .map((r) => ({ scalarD: 'renamedD', aSignal: 'sig2' } as Record<string, string>)[r.name!] ?? r.name)
+        .filter((n) => n !== 'negD' && n !== 'objRow' && n !== ''),
+      'added',
+      '',
+    ]);
+    expectKept(original, parsed, { was: ['kp', 'scalarD', 'cellFlat', 'aSignal', 'negD', 'objRow'], is: ['kp', 'renamedD', 'cellFlat', 'sig2', 'added'] });
+    expectSubsystemLast(parsed);
+  });
+});
+
+describe('a rename into a name of another length restates the element and the record', () => {
+  for (const [from, to] of [
+    ['kp', 'kpWithAMuchLongerName'],
+    ['structNest', 'sN'],
+    ['aParam', 'p'],
+  ]) {
+    it(`${from} -> ${to}`, () => {
+      const original = parseMat(fixture(CASES));
+      const { by, edit, save } = opened(fixture(CASES), 'cases.mat');
+      const before = by(from).displayValue;
+      expect(edit(by(from), 'Name', to)).toBe(true);
+      const { parsed, by: again } = reopened(save());
+      expect(again(to).displayValue).toBe(before);
+      expect(again(to).constructor.name).toBe(by(to).constructor.name);
+      expectKept(original, parsed, { was: [from], is: [to] });
+      expectSubsystemLast(parsed);
+    });
+  }
+});
+
+describe('function handles and the objects of a file: written as read, renamed, deleted', () => {
+  const FH = 'fixtures/display/dispcat_opaque.mat';
+
+  it('a function handle renamed, another deleted', () => {
+    const original = parseMat(fixture(FH));
+    const { by, edit, remove, save } = opened(fixture(FH), 'dispcat_opaque.mat');
+    expect(edit(by('fh_sin'), 'Name', 'sinHandle')).toBe(true);
+    expect(remove(by('fh_anon'))).toBe(true);
+    const { parsed, by: again } = reopened(save());
+    expect([again('sinHandle').className, again('sinHandle').displayValue]).toEqual(['function_handle', '@sin']);
+    expect(again('fh_anon')).toBeUndefined();
+    expectKept(original, parsed, { was: ['fh_sin', 'fh_anon'], is: ['sinHandle'] });
+    expectSubsystemLast(parsed);
+  });
+
+  it('every object variable of a file renamed reads back as the same object', () => {
+    const FILE = 'fixtures/mcos/nested_objects.mat';
+    const { root, edit, save } = opened(fixture(FILE), 'nested_objects.mat');
+    const shownAs = (r: any) => r.children.map((c: any) => [c.constructor.name, c.className, c.displayValue]);
+    const before = shownAs(root);
+    for (const node of [...root.children]) {
+      expect(edit(node, 'Name', node.name + 'R')).toBe(true);
+    }
+    const { root: again } = reopened(save());
+    expect(again.children.map((c: any) => c.name)).toEqual(root.children.map((c: any) => c.name));
+    expect(shownAs(again)).toEqual(before);
+  });
+});
+
+describe('a -v6 file, which holds no compressed record, stays one', () => {
+  it('nested_handles.mat: a variable added is written plain', () => {
+    const FILE = 'fixtures/display/nested_handles.mat';
+    const original = parseMat(fixture(FILE));
+    expect(original.records.some((r) => r.compressed)).toBe(false);
+    const { root, save } = opened(fixture(FILE), 'nested_handles.mat');
+    root.execAddEntry();
+    const { parsed } = reopened(save());
+    expect(parsed.records.map((r) => r.compressed)).toEqual(parsed.records.map(() => false));
+    expect(parsed.records.map((r) => r.name).slice(-2)).toEqual(['var', '']);
+    // A plain record is 8-byte aligned, its tag's nbytes a whole number of words.
+    const added = parsed.records.find((r) => r.name === 'var')!;
+    expect([added.offset % 8, added.length % 8]).toEqual([0, 0]);
+    expectKept(original, parsed, { is: ['var'] });
+    expectSubsystemLast(parsed);
+  });
+
+  it('hexobj_values.mat: a plain variable edited is written plain', () => {
+    const FILE = 'fixtures/sparse/hexobj_values.mat';
+    const original = parseMat(fixture(FILE));
+    const { by, edit, save } = opened(fixture(FILE), 'hexobj_values.mat');
+    expect(edit(by('control'), 'Value', '[1 2 3]')).toBe(true);
+    const { parsed } = reopened(save());
+    expect(parsed.records.every((r) => !r.compressed)).toBe(true);
+    expect(variableOf(parsed, 'control')).toMatchObject({ dimensions: [1, 3], value: [1, 2, 3] });
+    expectKept(original, parsed, { was: ['control'], is: ['control'] });
+    expectSubsystemLast(parsed);
+  });
+
+  it('a file with no subsystem keeps its header bytes 116-123 as they were', () => {
+    const spaces = new Uint8Array(matFile([scalar('a', 1), scalar('b', 2)]));
+    spaces.fill(0x20, 116, 124);
+    const { root, by, edit, save } = opened(arrayBufferOf(spaces));
+    expect(root.subsystemOffset).toBe(0);
+    expect(edit(by('a'), 'Value', '5')).toBe(true);
+    root.execAddEntry();
+    const bytes = save();
+    expect(sameBytes(bytes.subarray(0, 128), spaces.subarray(0, 128))).toBe(true);
+    const { parsed } = reopened(bytes);
+    expect(parsed.records.map((r) => [r.name, r.compressed])).toEqual([['a', false], ['b', false], ['var', false]]);
+    expect(variableOf(parsed, 'a').value).toBe(5);
+  });
+});
+
+describe('the marker that tells a rename from a value edit (DataNode._valueEdited)', () => {
+  const casesMat = () => opened(fixture(CASES), 'cases.mat');
+
+  it("is not set by an entry's own rename, of a plain variable or an object", () => {
+    const { by, edit } = casesMat();
+    expect(edit(by('kp'), 'Name', 'kp2')).toBe(true);
+    expect(edit(by('aParam'), 'Name', 'p2')).toBe(true);
+    expect([by('kp2').status, by('kp2')._valueEdited, by('p2').status, by('p2')._valueEdited]).toEqual(['Modified', undefined, 'Modified', undefined]);
+  });
+
+  it("is set by a value edit, an element's, and an object's property edit, which the editor takes none of", () => {
+    const { by, edit } = casesMat();
+    expect(edit(by('kp'), 'Value', '2')).toBe(true);
+    expect(edit(by('mat2x3').children[3], 'Value', '2')).toBe(true);
+    // A MAT-file takes no edit of an object's properties (MatNode._editRefusal, test/matEditGate.test.ts),
+    // and one refused marks nothing. Made around the editor, it marks the object.
+    expect(edit(by('aParam'), 'Value', '3')).toMatchObject({ error: true });
+    expect(by('aParam')._valueEdited).toBeUndefined();
+    by('aParam')._markModified();
+    expect(['kp', 'mat2x3', 'aParam'].map((n) => by(n)._valueEdited)).toEqual([true, true, true]);
+    // On the entry only.
+    expect(by('mat2x3').children[3]._valueEdited).toBeUndefined();
+  });
+
+  it("is set by the rename of anything under the entry, a bus element's, which changes the entry's value", () => {
+    const { by, edit, save } = casesMat();
+    const element = by('aBus').children[0];
+    // Refused by the editor, as every edit of an object of a MAT-file but its own rename is; made
+    // around it, as DataNode.setProperty's rename makes one.
+    expect(edit(element, 'Name', 'renamedElement')).toMatchObject({ error: true });
+    element.name = 'renamedElement';
+    element._markModified('name');
+    expect([by('aBus').status, by('aBus')._valueEdited]).toEqual(['Modified', true]);
+    // And a bus is an object, whose edit this writer cannot write.
+    expect(thrownBy(save).message).toBe(
+      'Cannot write "aBus": it is a Simulink.Bus, which a MAT-file save writes only as it was read, or renamed, so its edit cannot be saved. Nothing was written.',
+    );
+  });
+});
+
+// The editor takes none of the edits below (MatNode._editRefusal, test/matEditGate.test.ts): each is
+// made around it, by the marks every edit leaves (DataNode._markModified), so that the writer's own
+// refusal, which the editor's is built from, is held to as well.
+describe('a save that cannot write a variable as what it is is refused, naming it, and nothing is written', () => {
+  const editRefused = (name: string, what: string) =>
+    `Cannot write "${name}": it is ${what}, which a MAT-file save writes only as it was read, or renamed, so its edit cannot be saved. Nothing was written.`;
+
+  it("an object's property edited; the variable deleted, the file saves", () => {
+    const { by, edit, remove, save } = opened(fixture(CASES), 'cases.mat');
+    expect(edit(by('aParam'), 'Value', '7')).toMatchObject({ error: true });
+    by('aParam')._markModified();
+    const thrown = thrownBy(save);
+    expect([thrown instanceof MatWriteError, thrown.message]).toEqual([true, editRefused('aParam', 'a Simulink.Parameter')]);
+    expect(remove(by('aParam'))).toBe(true);
+    expect(reopened(save()).by('aParam')).toBeUndefined();
+  });
+
+  it('a string edited', () => {
+    const { by, edit, save } = opened(fixture(CASES), 'cases.mat');
+    expect(edit(by('strScalar'), 'Value', '"xyz"')).toMatchObject({ error: true });
+    by('strScalar')._markModified();
+    expect(thrownBy(save).message).toBe(editRefused('strScalar', 'a string'));
+  });
+
+  it('a struct holding an object, edited at another field', () => {
+    const { by, edit, save } = opened(fixture('fixtures/mcos/complex_objects.mat'), 'complex_objects.mat');
+    const z = by('s').children.find((c: any) => c.name === 'z');
+    expect(edit(z, 'Value', '5')).toMatchObject({ error: true });
+    z._markModified();
+    expect(thrownBy(save).message).toBe(
+      'Cannot write "s": s.p is a Simulink.Parameter, which this package cannot write into a MAT-file. Nothing was written.',
+    );
+  });
+
+  it('a function handle edited, which the table does not offer, around it', () => {
+    const { by, edit, save } = opened(fixture('fixtures/display/dispcat_opaque.mat'), 'dispcat_opaque.mat');
+    expect(edit(by('fh_sin'), 'Value', '@cos')).toMatchObject({ error: true });
+    by('fh_sin')._markModified();
+    expect(thrownBy(save).message).toBe(editRefused('fh_sin', 'a function handle'));
+  });
+
+  it('a value the reader did not decode, edited around the table', () => {
+    const z = numericVar({ name: 'z', cls: CLASS.DOUBLE, dimensions: [1, 1], real: [3], imag: [4] });
+    // Byte 16 of the matrix is its array-flags data: class 255, and the complex flag kept.
+    z[16] = 0xff;
+    const { by, save } = opened(matFile([scalar('a', 1), z]));
+    expect(by('z').displayValue).toContain('not decoded');
+    by('z')._markModified();
+    expect(thrownBy(save).message).toBe(editRefused('z', 'a value that was not decoded'));
+  });
+
+  describe('a variable stored after the subsystem, which MATLAB does not read', () => {
+    // Param.mat, and after its subsystem a plain double: a file MATLAB lists `late` in with
+    // `whos -file` and does not load.
+    const late = () => {
+      const param = new Uint8Array(fixture('fixtures/mcos/Param.mat'));
+      return arrayBufferOf(concat([param, scalar('late', 4)]));
+    };
+
+    it('renamed or edited, refuses the save', () => {
+      for (const [prop, value] of [['Name', 'late2'], ['Value', '5']]) {
+        const { by, edit, save } = opened(late());
+        const node = by('late');
+        expect(edit(node, prop, value)).toMatchObject({ error: true });
+        if (prop === 'Name') {
+          node.name = value;
+        }
+        node._markModified(prop === 'Name' ? 'name' : 'value');
+        expect(thrownBy(save).message).toBe(
+          `Cannot write "${by(prop === 'Name' ? 'late2' : 'late').name}": it is stored after the file's objects, where MATLAB does not read it, `
+            + 'so it would not be read written there, and moved, it would change what MATLAB loads of the file. Nothing was written.',
+        );
+      }
+    });
+
+    it('unedited, is written where it was; deleted, is gone', () => {
+      const original = parseMat(late());
+      {
+        const { by, edit, save } = opened(late());
+        expect(edit(by('Param'), 'Name', 'P')).toBe(true);
+        const { parsed } = reopened(save());
+        expect(parsed.records.map((r) => r.name)).toEqual(['P', '', 'late']);
+        expect(parsed.subsystemOffset).toBe(parsed.records[1].offset);
+        expectKept(original, parsed, { was: ['Param'], is: ['P'] });
+      }
+      {
+        const { by, remove, root, save } = opened(late());
+        expect(remove(by('late'))).toBe(true);
+        root.execAddEntry();
+        const { parsed } = reopened(save());
+        expect(parsed.records.map((r) => r.name)).toEqual(['Param', 'var', '']);
+        expectSubsystemLast(parsed);
+      }
+    });
+  });
+
+  it('a file whose records do not tile it', () => {
+    const bytes = matFile([scalar('a', 1), scalar('b', 2)], { trailing: new Uint8Array(8) });
+    const { root, by, edit, save } = opened(bytes);
+    expect(root.framed).toBe(false);
+    // Unedited too: the bytes past the records are not records to write back.
+    const at = root.unframed.at;
+    const refusal = `Cannot save "f.mat": this package could not frame 8 byte(s) of it, from byte ${at} (${root.unframed.reason}), `
+      + 'so a save could not keep them as they are. Nothing was written.';
+    expect(thrownBy(save).message).toBe(refusal);
+    expect(edit(by('a'), 'Value', '3')).toMatchObject({ error: true });
+    by('a')._markModified();
+    expect(thrownBy(save).message).toBe(refusal);
+  });
+
+  it("a file opened from a host's parse that carries no records", () => {
+    const session = createSession();
+    const { header, variables } = parseMat(fixture(CASES));
+    session.addMatSourceParsed('older.mat', { header, variables });
+    expect(() => session.serializeSource('older.mat')).toThrow(
+      'Cannot save "older.mat": it was opened without the records a save writes back, so a save would lose every one this package did not read. Nothing was written.',
+    );
+  });
+
+  it('a file whose bytes the host has since handed away', () => {
+    const input = fixture(CASES);
+    const { by, edit, save } = opened(input, 'cases.mat');
+    expect(edit(by('kp'), 'Value', '3')).toBe(true);
+    // Transferred, as a host posting it to a worker does: every view of it is now empty.
+    structuredClone(input, { transfer: [input] });
+    expect(thrownBy(save).message).toBe(
+      'Cannot save "cases.mat": the bytes it was read from are no longer held (the header holds 0 of its 128), so what was not edited '
+        + 'could not be written as it was. Nothing was written.',
+    );
+  });
+
+  it("a header that places the subsystem where there is none, edited; unedited, it is the file", () => {
+    const bytes = new Uint8Array(fixture(CASES));
+    new DataView(bytes.buffer).setBigUint64(116, 200n, true);
+    const { by, edit, save } = opened(arrayBufferOf(bytes), 'cases.mat');
+    expect(sameBytes(save(), bytes)).toBe(true);
+    expect(edit(by('kp'), 'Value', '3')).toMatchObject({ error: true });
+    by('kp')._markModified();
+    expect(thrownBy(save).message).toBe(
+      'Cannot save "cases.mat": its header places the file\'s objects at byte 200, where no record starts, so a save cannot say where they are. Nothing was written.',
+    );
+  });
+
+  it("a header that places the subsystem at a variable: the variable's edit is refused, not passed over", () => {
+    const bytes = new Uint8Array(matFile([scalar('a', 1), scalar('b', 2)]));
+    const { root, by, edit, save } = opened(arrayBufferOf(bytes));
+    const at = root.records[1].offset;
+    new DataView(bytes.buffer).setBigUint64(116, BigInt(at), true);
+    const again = opened(arrayBufferOf(bytes));
+    expect(sameBytes(again.save(), bytes)).toBe(true);
+    expect(again.edit(again.by('b'), 'Value', '5')).toMatchObject({ error: true });
+    again.by('b')._markModified();
+    expect(thrownBy(again.save).message).toBe(
+      `Cannot save "f.mat": its header places the file's objects at byte ${at}, where a variable is, so a save cannot say where they are. `
+        + 'Nothing was written.',
+    );
+    // The file as it was, with its header saying none, saves the edit.
+    expect(edit(by('b'), 'Value', '5')).toBe(true);
+    expect(variableOf(reopened(save()).parsed, 'b').value).toBe(5);
+  });
+
+  it('an unnamed record that is not the subsystem', () => {
+    const { root, by, edit, save } = opened(matFile([scalar('a', 1), scalar('', 2), scalar('b', 3)]));
+    expect(edit(by('a'), 'Value', '5')).toMatchObject({ error: true });
+    by('a')._markModified();
+    expect(thrownBy(save).message).toBe(
+      `Cannot save "f.mat": the record at byte ${root.records[1].offset} holds a value with no name that is not the file's objects, `
+        + 'and MATLAB reads no variable past one, so a save cannot place an edit where MATLAB reads it. Nothing was written.',
+    );
+  });
+
+  it('a value read short, whose holes are a value the file did not hold, and past the budget no save', () => {
+    // A cell declaring 1x600000 and holding one element: written fresh, the 599,999 it does not
+    // hold would each be the empty double MatWriter writes for a hole, past the unbacked-bytes
+    // budget. So it is written only as it was read (freshRefusal, shortIn), whatever its size.
+    for (const declared of [600000, 3]) {
+      const { by, edit, save } = opened(matFile([cellVar('big', [scalar('', 1)], [1, declared])]));
+      expect(edit(by('big').children[0], 'Value', '2'), String(declared)).toMatchObject({ error: true });
+      by('big').children[0]._markModified();
+      expect(thrownBy(save).message, String(declared)).toBe(
+        `Cannot write "big": big is a 1x${declared} cell holding 1 of the ${declared} elements it declares, and a save would write the ones it does not hold as empty. Nothing was written.`,
+      );
+    }
+    // Unbacked, MatWriter refuses it for its budget, restated naming the variable, as a dictionary's save does.
+    const { by } = opened(matFile([cellVar('big', [scalar('', 1)], [1, 600000])]));
+    const thrown = thrownBy(() => by('big')._matStream()) as MatBudgetError;
+    expect([thrown instanceof MatBudgetError, thrown.entry, thrown.reason]).toEqual([true, 'big', 'budget']);
+    expect(thrown.message).toMatch(/^Cannot write "big": big is a 1x600000 cell holding 1 of its 600000 elements, /);
+    // And met writing a variable a save writes fresh, it is the save's refusal, as MatWriter threw
+    // it: the stream of an edited variable stands in for one past the budget.
+    const edited = opened(fixture(CASES), 'cases.mat');
+    expect(edited.edit(edited.by('kp'), 'Value', '9')).toBe(true);
+    edited.by('kp')._matStream = () => {
+      throw thrown;
+    };
+    expect(thrownBy(() => serializeMatFile(edited.root))).toBe(thrown);
+  });
+
+  it('a file of more bytes than the runtime holds in one buffer, refused naming it, and not as its RangeError', () => {
+    for (const add of [false, true]) {
+      const { root } = opened(matFile([scalar('a', 1)]));
+      // A record standing in for one of 2^53 bytes, which no typed array is: the copy of the
+      // file unedited, and the file assembled around an addition, are each refused for it.
+      Object.assign(root.records[0], { length: 2 ** 53, bytes: { byteLength: 2 ** 53 } });
+      if (add) {
+        root.execAddEntry();
+      }
+      const thrown = thrownBy(() => serializeMatFile(root));
+      expect(thrown, String(add)).toBeInstanceOf(MatWriteError);
+      expect(thrown.message, String(add)).toMatch(
+        /^Cannot save "f\.mat": the file written for it would be \d{16} bytes, more than this runtime holds in one buffer\. Nothing was written\.$/,
+      );
+    }
+  });
+
+  it('a compressed stream of 4 GiB or more, whose length its record cannot say, is refused', () => {
+    // A stream standing in for one of 2^32 bytes: the record's tag says its length in 32 bits,
+    // and written, it would say 0.
+    const thrown = thrownBy(() => compressedRecordOf({ byteLength: 2 ** 32 } as Uint8Array, 'big'));
+    expect([thrown instanceof MatWriteError, thrown.message]).toEqual([
+      true,
+      'Cannot write "big": compressed, its element is a stream of 4294967296 bytes, more than the 4 GiB a record can say it holds. Nothing was written.',
+    ]);
+    // One that a tag can say is written as its tag and itself.
+    expect(Array.from(compressedRecordOf(new Uint8Array([7, 8]), 'small'))).toEqual([15, 0, 0, 0, 2, 0, 0, 0, 7, 8]);
+  });
+
+  it('a variable added under a name that is no MATLAB name, or one the file holds already', () => {
+    for (const [name, why] of [
+      ['1bad', 'it is not a name MATLAB can load (Invalid MATLAB name. Must start with a letter and contain only letters, digits, and underscores)'],
+      ['end', "it is not a name MATLAB can load ('end' is a reserved MATLAB keyword)"],
+      ['kp', 'the file holds another variable named "kp", and MATLAB loads only one of them'],
+    ]) {
+      const { root, save } = opened(fixture(CASES), 'cases.mat');
+      // Refused by the editor (MatNode.execAddEntry); added around it, under its own name.
+      expect(root.execAddEntry(undefined, name), name).toBeNull();
+      root.execAddEntry().node.name = name;
+      expect(thrownBy(save).message, name).toBe(`Cannot write "${name}": ${why}. Nothing was written.`);
+    }
+  });
+
+  it('a file that holds two variables of one name keeps both, as read', () => {
+    const { by, root, save } = opened(matFile([scalar('a', 1), scalar('a', 2), scalar('b', 3)]));
+    expect(root.children.map((c: any) => c.name)).toEqual(['a', 'a', 'b']);
+    root.execAddEntry();
+    expect(by('b')).toBeDefined();
+    const { parsed } = reopened(save());
+    expect(parsed.variables.map((v) => [v.name, v.value])).toEqual([['a', 1], ['a', 2], ['b', 3], ['var', 0]]);
+  });
+
+  it('a record that does not read back as the value it was written from (the self-check)', () => {
+    const { by, edit, save } = opened(fixture(CASES), 'cases.mat');
+    expect(edit(by('kp'), 'Value', '9')).toBe(true);
+    // The stream written for it, standing in for a writer that wrote another value.
+    by('kp')._matStream = () => encodeMatStream({ ...by('kp')._var, value: 10 });
+    expect(thrownBy(save).message).toBe(
+      'Cannot save "cases.mat": the file written for it did not read back as written: kp: its element 1 reads back as 10 where 9 was written. Nothing was written.',
+    );
+  });
+});
+
+describe("MATLAB's verdict corpus (test/fixtures/mat-check): a save adds nothing MATLAB refuses, or is refused", () => {
+  // Copies of MATLAB-written files, most edited one byte range at a time to break a rule MATLAB
+  // loads a file by, with MATLAB's verdict on each. Whatever a file breaks as read, a save of it
+  // either breaks no rule it did not break (MatFileCheck.violationsAdded, by rule and variable,
+  // a renamed variable by its old name), or throws, naming why, and hands back nothing.
+  const verdicts: { file: string; matlab: string }[] = JSON.parse(readFileSync(join(MAT_CHECK, 'verdicts.json'), 'utf8'));
+  const edits: [string, (o: ReturnType<typeof opened>) => Map<string, string>][] = [
+    ['no edit', () => new Map()],
+    [
+      'every variable renamed',
+      (o) => {
+        const renamed = new Map<string, string>();
+        o.root.children.forEach((node: any, i: number) => {
+          const was = node.name;
+          if (o.edit(node, 'Name', 'renamed' + i) === true) {
+            renamed.set('renamed' + i, was);
+          }
+        });
+        return renamed;
+      },
+    ],
+    [
+      'every plain variable written fresh',
+      (o) => {
+        for (const node of o.root.children.filter((n: any) => n._matWritable?.() === true && !o.root.recordOf(n)?.variable?.isOpaque)) {
+          node._markModified();
+        }
+        return new Map();
+      },
+    ],
+    [
+      'a variable added',
+      (o) => {
+        o.root.execAddEntry();
+        return new Map();
+      },
+    ],
+  ];
+
+  for (const [what, edit] of edits) {
+    it(what, () => {
+      let saved = 0;
+      for (const { file, matlab } of verdicts) {
+        const input = arrayBufferOf(new Uint8Array(readFileSync(join(MAT_CHECK, file))));
+        const before = checkMatFile(new Uint8Array(input));
+        const o = opened(input, file);
+        const renamed = edit(o);
+        let bytes: Uint8Array;
+        try {
+          bytes = serializeMatFile(o.root);
+        } catch (e) {
+          expect(e, file).toBeInstanceOf(MatWriteError);
+          expect((e as Error).message, file).toMatch(/^Cannot (save|write) "/);
+          continue;
+        }
+        expect(violationsAdded(before, checkMatFile(bytes), renamed), file).toEqual([]);
+        if (what === 'no edit') {
+          expect(sameBytes(bytes, new Uint8Array(input)), file).toBe(true);
+        }
+        if (matlab === 'loads') {
+          saved++;
+        }
+      }
+      // Not vacuous: of the 64 files MATLAB loads, all but a few are saved. The ones refused are
+      // refused for what they hold: 8 zero bytes after the subsystem, which this package does not
+      // frame; a name of 70 characters, longer than the 63 a rename is held to; two variables of
+      // one name, one of them edited.
+      expect(saved, what).toBeGreaterThanOrEqual(verdicts.filter((v) => v.matlab === 'loads').length - 4);
+    });
+  }
+});
+
+describe('the strict check, of the bytes about to be handed back (MatFileCheck)', () => {
+  it("a file that breaks a rule as read is saved renamed, its variable's violation matched under the old name", () => {
+    // char-latin1-uint8.mat holds a char stored as miUINT8, which MATLAB fails to load
+    // (`char-type`). Renamed, the record is its own bytes but for the name, so the violation is
+    // the one the file had: matched as the variable's under the name the file gave it (the map
+    // violationsAdded takes runs from the new name to the old), the save is not refused.
+    const FILE = join(MAT_CHECK, 'char-latin1-uint8.mat');
+    const input = arrayBufferOf(new Uint8Array(readFileSync(FILE)));
+    const before = checkMatFile(new Uint8Array(input));
+    expect(before.map((v) => v.code)).toEqual(['char-type']);
+    const { root, edit } = opened(input, 'char-latin1-uint8.mat');
+    const [node] = root.children;
+    const was = node.name;
+    expect(edit(node, 'Name', 'renamedChar')).toBe(true);
+    const after = checkMatFile(serializeMatFile(root));
+    expect(after.map((v) => [v.code, v.variable])).toEqual([['char-type', 'renamedChar']]);
+    expect(violationsAdded(before, after, new Map([['renamedChar', was]]))).toEqual([]);
+    expect(violationsAdded(before, after).map((v) => v.code)).toEqual(['char-type']);
+  });
+
+  it('refuses a save whose bytes break a rule the file read did not, though they read back as written', () => {
+    const { by, edit, save } = opened(fixture(CASES), 'cases.mat');
+    expect(edit(by('charStr'), 'Value', "'中文'")).toBe(true);
+    // The stream written for it, standing in for a writer that stored the text as miUINT16, which
+    // this package's reader reads back as written and MATLAB reads as the low byte of each unit.
+    const stream = (text: string) => {
+      const units = new Uint8Array(text.length * 2);
+      for (let i = 0; i < text.length; i++) {
+        new DataView(units.buffer).setUint16(2 * i, text.charCodeAt(i), true);
+      }
+      const tag = (type: number, n: number) => concat([u32le(type), u32le(n)]);
+      const body = concat([
+        tag(MI.UINT32, 8), u32le(CLASS.CHAR), u32le(0),
+        tag(MI.INT32, 8), u32le(1), u32le(text.length),
+        tag(MI.INT8, 0),
+        tag(MI.UINT16, units.length), units, new Uint8Array((8 - (units.length % 8)) % 8),
+      ]);
+      return concat([new Uint8Array([0, 1, 0x49, 0x4d, 0, 0, 0, 0]), tag(MI.MATRIX, body.length), body]);
+    };
+    by('charStr')._matStream = () => stream('中文');
+    const thrown = thrownBy(save);
+    expect(thrown).toBeInstanceOf(MatWriteError);
+    expect(thrown.message).toMatch(
+      /^Cannot save "cases\.mat": the file written for it breaks a rule MATLAB loads a file by, which the file it was read from does not: .*charStr.* Nothing was written\.$/,
+    );
+  });
+});
diff --git a/test/matFreshFidelity.test.ts b/test/matFreshFidelity.test.ts
new file mode 100644
index 00000000..40c5b188
--- /dev/null
+++ b/test/matFreshFidelity.test.ts
@@ -0,0 +1,255 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// Every plain variable of every Level-5 .mat here, written fresh by a save, is the variable the
+// file held: compared with the file's own element, not with what the package's model of it says.
+//
+// The save's own self-check (MatFileWriter.selfCheck) holds what it wrote to the node's variable
+// (MatlabVariableNode._var), and the live MATLAB gate (test/parity/matlab/probe_mat_writeback)
+// found two losses that check could not see, because the model carried them too: a complex empty
+// rebuilt as a real one once its node was marked edited, and a struct array of no element read
+// with no field names, so written with none. MATLAB loaded both as another value. So here each
+// variable the writer can write is marked edited without being changed (the mark an edit and its
+// undo leave, DataNode._valueEdited), the file is saved, and the record the save wrote for it is
+// compared with the record the file held:
+//   - by an element walker of the test's own (test/tools/matElements), which reads class, the
+//     complex, global, logical and sparse bits, dims, every field name of every struct (of no
+//     element too) in order, every member of every cell and struct, every element's value as
+//     its class holds it, double and single by their bits (-0 apart from 0), int64 and uint64
+//     exactly, a char's code units;
+//   - and by the package's reader, the original parse beside the parse of the save: the class,
+//     size, complexity, sparsity, field names and order, members and values it reads.
+// A NaN's payload is not compared (matElements says why). Any other difference is a value the
+// writer changed, and fails here: what the writer cannot write as it was read, it must refuse.
+//
+// The candidates are what an edit can make the save write fresh: the variables whose edit the
+// save takes (MatFileWriter.freshRefusal, the rule the editor offers edits by). A file whose
+// save refuses a variable for what only its bytes can say (MatWriter's budget) is saved again
+// without it, and the refusal is held to name it.
+import { describe, it, expect } from 'vitest';
+import { readdirSync, readFileSync } from 'node:fs';
+import { join } from 'node:path';
+import { fileURLToPath } from 'node:url';
+import { unzlibSync } from 'fflate';
+import { parseMat, type MatRecord, type MatVariable } from '../src/datamodel/parser/MatParser.js';
+import { freshRefusal } from '../src/datamodel/parser/MatFileWriter.js';
+import { MatWriteError } from '../src/datamodel/parser/MatWriter.js';
+import { createSession } from '../src/index.js';
+import { elementDifference, elementValue } from './tools/matElements.js';
+import { CLASS, cellVar, matFile, numericVar, structVar } from './tools/matBytes.js';
+
+const TEST_ROOT = fileURLToPath(new URL('.', import.meta.url));
+const MAT_CHECK = join(TEST_ROOT, 'fixtures', 'mat-check');
+// The one .mat here the reader refuses: a `-v7.3` file is HDF5, not Level 5.
+const REFUSED = new Set(['strings_v73.mat']);
+
+function matFilesUnder(dir: string): string[] {
+  const out: string[] = [];
+  for (const entry of readdirSync(dir, { withFileTypes: true })) {
+    const abs = join(dir, entry.name);
+    if (entry.isDirectory()) {
+      if (abs !== MAT_CHECK) {
+        out.push(...matFilesUnder(abs));
+      }
+    } else if (entry.isFile() && entry.name.endsWith('.mat') && !REFUSED.has(entry.name)) {
+      out.push(abs);
+    }
+  }
+  return out.sort();
+}
+
+const arrayBufferOf = (bytes: Uint8Array): ArrayBuffer => bytes.buffer.slice(bytes.byteOffset, bytes.byteOffset + bytes.byteLength) as ArrayBuffer;
+
+/** A record's miMATRIX element, its tag included, inflated when the record is compressed. */
+function elementOf(record: MatRecord): Uint8Array {
+  const view = new DataView(record.bytes.buffer, record.bytes.byteOffset, record.bytes.byteLength);
+  return view.getUint32(0, true) === 15 ? unzlibSync(record.bytes.subarray(8, 8 + view.getUint32(4, true))) : record.bytes;
+}
+
+// The parts of a parsed variable that are where it came from rather than what it is.
+const NOT_THE_VALUE = new Set(['name', '_rawBytes', '_modified', 'mcosHandle']);
+
+/** The first difference between two variables the reader made, or null. NaN equals NaN; -0 is not 0. */
+function parsedDifference(was: unknown, is: unknown, at: string): string | null {
+  const shown = (x: unknown) => (Object.is(x, -0) ? '-0' : String(x));
+  if (typeof was === 'number' && typeof is === 'number') {
+    return (Number.isNaN(was) && Number.isNaN(is)) || Object.is(was, is) ? null : at + ': ' + shown(was) + ' read, ' + shown(is) + ' written';
+  }
+  if (was === null || is === null || typeof was !== 'object' || typeof is !== 'object') {
+    return was === is ? null : at + ': ' + shown(was) + ' read, ' + shown(is) + ' written';
+  }
+  if (ArrayBuffer.isView(was) || ArrayBuffer.isView(is)) {
+    const a = Array.from(was as ArrayLike<number>);
+    const b = Array.from(is as ArrayLike<number>);
+    return parsedDifference(a, b, at);
+  }
+  const keys = (o: object) => Object.keys(o).filter((k) => !NOT_THE_VALUE.has(k) && (o as Record<string, unknown>)[k] !== undefined);
+  const a = keys(was);
+  const b = keys(is);
+  // A struct's field names, in order, are its keys.
+  if (a.join(',') !== b.join(',')) {
+    return at + ': keys ' + a.join(',') + ' read, ' + b.join(',') + ' written';
+  }
+  for (const k of a) {
+    const d = parsedDifference((was as Record<string, unknown>)[k], (is as Record<string, unknown>)[k], at + '.' + k);
+    if (d) {
+      return d;
+    }
+  }
+  return null;
+}
+
+interface Swept {
+  written: string[];
+  refused: string[];
+  differences: string[];
+  unwalked: string[];
+}
+
+/** `bytes` opened, its every writable variable marked edited, saved, and each compared with its own record. */
+function sweep(file: string, bytes: Uint8Array, refusedBefore: string[] = []): Swept | { saveRefused: string } {
+  const session = createSession();
+  const root: any = session.addMatSource(file, arrayBufferOf(bytes));
+  const candidates = root.children.filter((node: any) => {
+    const record = root.recordOf(node);
+    return record && !refusedBefore.includes(node.name) && freshRefusal(node, record) === null;
+  });
+  candidates.forEach((node: any) => node._markModified());
+  let saved: Uint8Array;
+  try {
+    saved = (session.serializeSource(file) as { bytes: Uint8Array }).bytes;
+  } catch (e) {
+    if (!(e instanceof MatWriteError)) {
+      throw e;
+    }
+    // Refused for a variable's bytes (MatWriter's budget): saved again without it. Anything else
+    // refuses the file, which the caller judges.
+    const named = candidates.find((node: any) => e.message.startsWith('Cannot write "' + node.name + '"') || e.message.includes('"' + node.name + '"'));
+    if (named && refusedBefore.length < candidates.length + refusedBefore.length) {
+      return sweep(file, bytes, [...refusedBefore, named.name]);
+    }
+    return { saveRefused: e.message };
+  }
+  const before = parseMat(arrayBufferOf(bytes));
+  const after = parseMat(arrayBufferOf(saved));
+  const out: Swept = { written: [], refused: refusedBefore, differences: [], unwalked: [] };
+  for (const node of candidates) {
+    const name = node.name;
+    const was = before.records.find((r) => r.name === name)!;
+    const is = after.records.find((r) => r.name === name)!;
+    out.written.push(name);
+    let walked: string | null = null;
+    try {
+      walked = elementDifference(elementValue(elementOf(was)), elementValue(elementOf(is)), name);
+    } catch (e) {
+      // The file's element is one the walker cannot read (a damaged corpus file): the reader's
+      // comparison below still holds it.
+      out.unwalked.push(name + ': ' + (e as Error).message);
+    }
+    if (walked) {
+      out.differences.push(walked);
+    }
+    const parsed = parsedDifference(was.variable as MatVariable, is.variable as MatVariable, name);
+    if (parsed) {
+      out.differences.push(parsed);
+    }
+  }
+  return out;
+}
+
+const fixtureFiles = matFilesUnder(TEST_ROOT);
+
+describe('every plain variable of every .mat, written fresh, is the variable its file held', () => {
+  it('sweeps every Level-5 fixture', () => {
+    expect(fixtureFiles.length).toBeGreaterThanOrEqual(35);
+  });
+
+  let total = 0;
+  for (const abs of fixtureFiles) {
+    const rel = abs.slice(TEST_ROOT.length);
+    it(rel, () => {
+      const result = sweep(rel.slice(rel.lastIndexOf('/') + 1), new Uint8Array(readFileSync(abs)));
+      expect('saveRefused' in result ? result.saveRefused : null, rel).toBeNull();
+      const swept = result as Swept;
+      expect(swept.differences, rel).toEqual([]);
+      expect(swept.unwalked, rel).toEqual([]);
+      total += swept.written.length;
+      if (process.env.DEX_SWEEP_COUNTS) console.log(rel, 'written', swept.written.length, 'refused', swept.refused);
+    });
+  }
+
+  it('and writes over 150 variables fresh doing so', () => {
+    expect(total).toBeGreaterThanOrEqual(150);
+  });
+});
+
+describe("and of every file of MATLAB's verdict corpus core opens (test/fixtures/mat-check)", () => {
+  const verdicts: { file: string; matlab: string }[] = JSON.parse(readFileSync(join(MAT_CHECK, 'verdicts.json'), 'utf8'));
+
+  it('each variable written fresh is the one the file held, or its save is refused', () => {
+    let written = 0;
+    const differences: string[] = [];
+    for (const { file, matlab } of verdicts) {
+      const bytes = new Uint8Array(readFileSync(join(MAT_CHECK, file)));
+      let result: ReturnType<typeof sweep>;
+      try {
+        result = sweep(file, bytes);
+      } catch (e) {
+        // A file core does not open.
+        expect((e as Error).message, file).toBeTruthy();
+        continue;
+      }
+      if ('saveRefused' in result) {
+        expect(result.saveRefused, file).toMatch(/^Cannot (save|write) "/);
+        continue;
+      }
+      written += result.written.length;
+      // A file MATLAB loads is held to every part of its elements; one it refuses was damaged on
+      // purpose, and its damaged part may be one the walker does not read.
+      if (matlab === 'loads') {
+        expect(result.unwalked, file).toEqual([]);
+      }
+      differences.push(...result.differences.map((d) => file + ': ' + d));
+    }
+    expect(differences).toEqual([]);
+    if (process.env.DEX_SWEEP_COUNTS) console.log('corpus written', written);
+    expect(written).toBeGreaterThanOrEqual(150);
+  });
+});
+
+describe('and of the values no fixture holds, built byte by byte', () => {
+  // A variable `save` marks global (its array flags' bit 0x04): the flag is the variable's, and
+  // nothing but the record's bytes holds it.
+  const global = (element: Uint8Array) => {
+    const out = element.slice();
+    out[17] |= 0x04;
+    return out;
+  };
+  const es = (dims: number[]) => structVar('', ['a', 'bb'], [], dims);
+  const cx = (dims: number[], cls: number = CLASS.DOUBLE) => numericVar({ name: '', cls, dimensions: dims, real: [], imag: [] });
+  const one = numericVar({ name: '', cls: CLASS.DOUBLE, dimensions: [1, 1], real: [1] });
+  const file = new Uint8Array(
+    matFile([
+      global(numericVar({ name: 'g', cls: CLASS.DOUBLE, dimensions: [1, 2], real: [1, 2] })),
+      global(structVar('gs', ['es'], [{ es: es([0, 0]) }])),
+      numericVar({ name: 'negZero', cls: CLASS.DOUBLE, dimensions: [1, 3], real: [-0, 0, -0], imag: [-0, -0, 3] }),
+      numericVar({ name: 'negZeroScalar', cls: CLASS.DOUBLE, dimensions: [1, 1], real: [-0], imag: [-0] }),
+      numericVar({ name: 'negZeroSingle', cls: CLASS.SINGLE, dimensions: [1, 2], real: [-0, 1], imag: [2, -0] }),
+      numericVar({ name: 'realNegZero', cls: CLASS.DOUBLE, dimensions: [1, 2], real: [-0, 1] }),
+      numericVar({ name: 'cx03s', cls: CLASS.SINGLE, dimensions: [0, 3], real: [], imag: [] }),
+      numericVar({ name: 'cxNd', cls: CLASS.INT16, dimensions: [0, 2, 2], real: [], imag: [] }),
+      structVar('esNd', ['a', 'bb'], [], [0, 0, 2]),
+      cellVar('c', [es([0, 0]), cx([1, 0]), es([2, 0]), cx([0, 3], CLASS.SINGLE)], [1, 4]),
+      structVar('sa', ['es', 'x'], [{ es: es([0, 0]), x: one }, { es: es([1, 0]), x: one }], [1, 2]),
+      structVar('nested', ['inner'], [{ inner: structVar('', ['deep'], [{ deep: es([0, 1]) }]) }]),
+    ]),
+  );
+
+  it('each is written fresh as the variable the file held: global, -0 parts, empties with fields and complexity', () => {
+    const result = sweep('built.mat', file);
+    expect('saveRefused' in result ? result.saveRefused : null).toBeNull();
+    const swept = result as Swept;
+    expect(swept.written.length).toBe(12);
+    expect(swept.differences).toEqual([]);
+    expect(swept.unwalked).toEqual([]);
+  });
+});
diff --git a/test/matGlobal.test.ts b/test/matGlobal.test.ts
new file mode 100644
index 00000000..6b7e2f8f
--- /dev/null
+++ b/test/matGlobal.test.ts
@@ -0,0 +1,132 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// A variable saved as global stays global when a save writes it again.
+//
+// `save` marks a variable declared global by bit 0x04 of its array flags' flags byte (the flags
+// word 0x0406 for a global double), on its top-level element and on no element nested in it, and
+// `load(f)` declares it global again: measured against MATLAB R2027a by
+// fixtures/global/make_global_fixtures.m, which wrote global_v7.mat and global_v6.mat (gD, gS,
+// gC, gI global; plain not) and read each back by `whos -file` and by a `load` inside a function.
+// The flag is the workspace variable's, not its value's. No reader layer held it, so a value edit,
+// which writes the variable fresh, wrote it as not global, and `load(f)` no longer declared it
+// (MATLAB's verdict on the save, the MAT-file gate's global_* cases); a rename, which writes the
+// element it was read as, kept it. The reader now holds it (MatVariable.isGlobal), and the save
+// sets it on the element it writes for a variable that had it (MatFileWriter.globalAsRead).
+import { describe, it, expect } from 'vitest';
+import { readFileSync } from 'node:fs';
+import { fileURLToPath } from 'node:url';
+import { unzlibSync } from 'fflate';
+import { parseMat, type MatRecord, type MatVariable } from '../src/datamodel/parser/MatParser.js';
+import { createSession } from '../src/index.js';
+import { elementValue } from './tools/matElements.js';
+
+/* eslint-disable @typescript-eslint/no-explicit-any */
+
+const arrayBufferOf = (u8: Uint8Array) => u8.buffer.slice(u8.byteOffset, u8.byteOffset + u8.byteLength) as ArrayBuffer;
+const fixture = (name: string) => arrayBufferOf(new Uint8Array(readFileSync(fileURLToPath(new URL('./fixtures/global/' + name, import.meta.url)))));
+const GLOBALS = ['gC', 'gD', 'gI', 'gS'];
+
+function elementOf(record: MatRecord): Uint8Array {
+  const view = new DataView(record.bytes.buffer, record.bytes.byteOffset, record.bytes.byteLength);
+  return view.getUint32(0, true) === 15 ? unzlibSync(record.bytes.subarray(8, 8 + view.getUint32(4, true))) : record.bytes;
+}
+
+/** Each record's name and whether its element is global, by the bytes and by the reader. */
+const globalsOf = (bytes: ArrayBuffer | Uint8Array) => {
+  const parsed = parseMat(bytes instanceof Uint8Array ? arrayBufferOf(bytes) : bytes);
+  return parsed.records.map((r) => [r.name, elementValue(elementOf(r)).global, !!r.variable?.isGlobal]);
+};
+
+/** Every variable nested in `v`, at any depth. */
+function nested(v: MatVariable): MatVariable[] {
+  const out: MatVariable[] = [];
+  const walk = (x: MatVariable) => {
+    for (const held of Object.values(x.fields ?? {})) {
+      for (const one of Array.isArray(held) ? held : [held]) {
+        out.push(one);
+        walk(one);
+      }
+    }
+    if (x.className === 'cell' && Array.isArray(x.value)) {
+      for (const one of x.value as MatVariable[]) {
+        out.push(one);
+        walk(one);
+      }
+    }
+  };
+  walk(v);
+  return out;
+}
+
+function opened(name: string) {
+  const session = createSession();
+  const root: any = session.addMatSource(name, fixture(name));
+  const at = (...labels: string[]) => {
+    let node = root.children.find((c: any) => c.name === labels[0]);
+    for (const label of labels.slice(1)) node = node.children.find((c: any) => c.displayName === label);
+    return node;
+  };
+  const edit = (node: any, prop: string, value: string) => {
+    session.setActive(root, node);
+    expect(session.editProperty(node.id, prop, value), prop + ' ' + value).toBe(true);
+  };
+  const save = () => (session.serializeSource(name) as { bytes: Uint8Array }).bytes;
+  return { session, root, at, edit, save };
+}
+
+describe.each(['global_v7.mat', 'global_v6.mat'])('%s, as MATLAB saved it', (file) => {
+  it('the reader holds the global flag of each variable that has it, and of nothing nested in one', () => {
+    expect(globalsOf(fixture(file))).toEqual([
+      ['gD', true, true],
+      ['gS', true, true],
+      ['gC', true, true],
+      ['gI', true, true],
+      ['plain', false, false],
+    ]);
+    for (const v of parseMat(fixture(file)).variables) {
+      expect(nested(v).filter((x) => x.isGlobal).map((x) => v.name), v.name).toEqual([]);
+    }
+  });
+
+  it('each global edited is written fresh, global, and the rest as it was', () => {
+    const { at, edit, save } = opened(file);
+    edit(at('gD', 'gD(2)'), 'Value', '20');
+    edit(at('gS', 'a'), 'Value', '5');
+    edit(at('gC', 'gC{1}'), 'Value', '40');
+    edit(at('gI'), 'Value', '-8');
+    edit(at('plain'), 'Value', '10');
+    const saved = save();
+    expect(globalsOf(saved)).toEqual(globalsOf(fixture(file)));
+    const parsed = parseMat(arrayBufferOf(saved));
+    const v = (n: string) => parsed.variables.find((x) => x.name === n)!;
+    expect([v('gD').value, (v('gS').fields!.a as MatVariable).value, (v('gC').value as MatVariable[])[0].value, v('gI').className, v('gI').value, v('plain').value]).toEqual([
+      [1, 20, 3],
+      5,
+      40,
+      'int16',
+      -8,
+      10,
+    ]);
+    // Nothing nested in a global written fresh is global, as in MATLAB's own element.
+    for (const name of GLOBALS) {
+      expect(nested(v(name)).filter((x) => x.isGlobal), name).toEqual([]);
+    }
+    // A -v6 file stays one: no record compressed.
+    expect(parsed.records.some((r) => r.compressed)).toBe(file === 'global_v7.mat');
+  });
+
+  it('a global renamed stays global, one deleted is gone, and one added is not global', () => {
+    const { root, at, edit, save, session } = opened(file);
+    edit(at('gD'), 'Name', 'gD2');
+    session.setActive(root, at('gI'));
+    expect(session.deleteNodeById(at('gI').id)).toBe(true);
+    root.execAddEntry(undefined, 'added');
+    expect(globalsOf(save())).toEqual([
+      ['gD2', true, true],
+      ['gS', true, true],
+      ['gC', true, true],
+      ['plain', false, false],
+      ['added', false, false],
+    ]);
+  });
+});
diff --git a/test/matNoPayload.test.ts b/test/matNoPayload.test.ts
index 91e18bd6..beb146fb 100644
--- a/test/matNoPayload.test.ts
+++ b/test/matNoPayload.test.ts
@@ -87,7 +87,10 @@ describe('a numeric MAT value with no data is shown as not decoded, with no edit
       notDecoded('b1', '1x1', 'logical'),
       notDecoded('i32', '3x2', 'int16'),
     ]);
-    expect(rows[7]).toEqual(['e0', '[ ]', 'double', true, []]);
+    // Shown as [], as before, and taking no edit: a matrix whose sub-elements end before its data
+    // is one MATLAB does not load, so a save writes it only as it was read, or renamed
+    // (MatFileWriter.freshRefusal).
+    expect(rows[7]).toEqual(['e0', '[ ]', 'double', false, []]);
     expect([rows[0], ...rows.slice(8)]).toEqual(control.children.map(row));
     // Before: no warning at all.
     expect(mat.warnings).toEqual([
@@ -122,8 +125,10 @@ describe('a numeric MAT value with no data is shown as not decoded, with no edit
     const c = cellVar('c', [noPayload('', CLASS.INT8, [1, 1]), one(5)]);
     const mat = opened('nested.mat', [ok(), s, c]);
     const [, sNode, cNode] = mat.children;
-    expect(sNode.children.map(row)).toEqual([notDecoded('a', '1x3', 'double'), ['b', '2', 'double', true, []]]);
-    expect(cNode.children.map(row)).toEqual([notDecoded('1', '1x1', 'int8'), ['2', '5', 'double', true, []]]);
+    // The value beside each takes no edit: a save writes s and c fresh or not at all, and has
+    // nothing to write the one with no data from (MatNode._editRefusal).
+    expect(sNode.children.map(row)).toEqual([notDecoded('a', '1x3', 'double'), ['b', '2', 'double', false, []]]);
+    expect(cNode.children.map(row)).toEqual([notDecoded('1', '1x1', 'int8'), ['2', '5', 'double', false, []]]);
     expect(mat.warnings).toEqual([holdsNoData('s.a', 3), holdsNoData('c{1}', 1)]);
     for (const n of [sNode, cNode]) {
       expect(() => n.toRow()).not.toThrow();
@@ -141,7 +146,9 @@ describe('a numeric MAT value with no data is shown as not decoded, with no edit
     const cutAt = 128 + ok().length + noPayload('x', CLASS.DOUBLE, [1, 3]).length;
     const whole = new Uint8Array(matFile([ok(), x]));
     const cut: any = createSession().addMatSource('cut.mat', arrayBufferOf(whole.slice(0, cutAt)));
-    expect(cut.children.map(row)).toEqual([['ok', '7', 'double', true, []], notDecoded('x', '1x3', 'double')]);
+    // `ok` as read, and taking no edit: its records do not tile the file, so no save of it can be
+    // written (MatNode._fileRefusal).
+    expect(cut.children.map(row)).toEqual([['ok', '7', 'double', false, []], notDecoded('x', '1x3', 'double')]);
     expect(cut.warnings).toEqual([
       {
         code: 'part-unreadable',
diff --git a/test/matNode.test.ts b/test/matNode.test.ts
index 39c6091d..92dcedaa 100644
--- a/test/matNode.test.ts
+++ b/test/matNode.test.ts
@@ -29,9 +29,10 @@ describe('MatNode — presentation', () => {
     expect(mat.icon).toBe('matlabWorkspaceFile');
   });
 
-  it('is read-only', () => {
-    // A .mat carries no schema, so the UI never offers property edits on the root.
-    expect(matSource('Param.mat').readOnly).toBe(true);
+  it('is not read-only: a save writes it (MatFileWriter)', () => {
+    // Read-only only when no save of it can be written: opened without its records, its records
+    // not tiling it (test/matEditGate.test.ts).
+    expect(matSource('Param.mat').readOnly).toBe(false);
   });
 
   it('counts its variables as entries', () => {
diff --git a/test/matNodeCeiling.test.ts b/test/matNodeCeiling.test.ts
index 6e73b3e2..2c2de184 100644
--- a/test/matNodeCeiling.test.ts
+++ b/test/matNodeCeiling.test.ts
@@ -298,11 +298,15 @@ describe('a .mat file past its node ceiling', () => {
     // objects and shared object graphs this file builds no example of.
     const root = fileURLToPath(new URL('.', import.meta.url));
     const files: string[] = [];
+    // test/fixtures/mat-check holds files edited to break MATLAB's load rules (a name stored
+    // twice, a variable after the subsystem), each with MATLAB's verdict on it
+    // (test/matFileCheck.test.ts), and is not what this grades.
     const walk = (dir: string): void => {
       for (const e of readdirSync(dir, { withFileTypes: true })) {
         const abs = join(dir, e.name);
-        if (e.isDirectory()) walk(abs);
-        else if (e.name.endsWith('.mat') && e.name !== 'strings_v73.mat') files.push(abs);
+        if (e.isDirectory()) {
+          if (e.name !== 'mat-check') walk(abs);
+        } else if (e.name.endsWith('.mat') && e.name !== 'strings_v73.mat') files.push(abs);
       }
     };
     walk(join(root, 'fixtures'));
diff --git a/test/matParser.test.ts b/test/matParser.test.ts
index f6792fe0..da9dc0f9 100644
--- a/test/matParser.test.ts
+++ b/test/matParser.test.ts
@@ -1386,9 +1386,11 @@ describe('parseMat — old-style (class 3) objects', () => {
     // A sparse matrix was the other user of the same channel, past a million elements,
     // until it came to be held as its non-zeros: it is its summary and its rows now, as
     // every sparse matrix is. This input's jc is short (three starts for 2000 columns), so
-    // it is a damaged array: read as far as its index goes, and reported. Its row is
-    // editable: the index its dims declare past the two columns it held is 8 KB, which one
-    // write's budget of 16 MiB covers.
+    // it is a damaged array: read as far as its index goes, and reported. Its row takes no edit
+    // in the .mat: a column index short of its columns is a matrix MATLAB does not load, so a
+    // save writes it only as it was read (MatFileWriter.freshRefusal). Out of a .mat, it would:
+    // the index its dims declare past the two columns it held is 8 KB, which one write's budget
+    // of 16 MiB covers.
     const session = createSession();
     const mat = session.addMatSource(
       'big.mat',
@@ -1402,7 +1404,9 @@ describe('parseMat — old-style (class 3) objects', () => {
     ]);
     expect(node.valueEditable).toBe(false);
     expect([node.className, node.dataType]).toEqual(['double', 'double']);
-    expect([mat.warnings.map((w: any) => w.part), node.children[0].valueEditable]).toEqual([['big'], true]);
+    expect([mat.warnings.map((w: any) => w.part), node.children[0].valueEditable]).toEqual([['big'], false]);
+    mat.removeChild(node);
+    expect(node.children[0].valueEditable).toBe(true);
     // Its full-jc twin, the shape MATLAB writes: the same, with nothing to report and its
     // row editable.
     const real = session.addMatSource(
diff --git a/test/matRecords.test.ts b/test/matRecords.test.ts
new file mode 100644
index 00000000..63affc11
--- /dev/null
+++ b/test/matRecords.test.ts
@@ -0,0 +1,533 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// What a save of a `.mat` splices: the file's own header, every top-level record in it,
+// and which node each record became (MatParser's ParsedMat.records, MatNode.recordOf and
+// nodeOf). A save that writes an unedited variable as the bytes it was read from is only as
+// good as those bytes, so the first sweep holds every Level-5 fixture to the strictest form
+// of it: the header and the records, end to end, ARE the file, byte for byte.
+//
+// Then the files whose records do not tile the file as MATLAB frames them (`framed` false):
+// each is built here out of a framed one, and each still opens as it did, since nothing in
+// this channel changes what is shown. And then the binding: every node of the tree, of
+// whatever kind (a plain variable, a typed MCOS node, a function handle, a value shown as
+// not decoded), is bound to the record it was read from and to no other.
+
+import { describe, it, expect, afterEach } from 'vitest';
+import { readFileSync, readdirSync } from 'node:fs';
+import { join } from 'node:path';
+import { fileURLToPath } from 'node:url';
+import { zlibSync } from 'fflate';
+import { parseMat } from '../src/datamodel/parser/MatParser.js';
+import type { MatRecord, ParsedMat } from '../src/datamodel/parser/MatParser.js';
+import { setMatRecordInflateCeiling } from '../src/datamodel/parser/Inflate.js';
+import { createSession } from '../src/index.js';
+import { CLASS, MI, charVar, element, matFile, numericVar, u32le } from './tools/matBytes.js';
+
+const TEST_ROOT = fileURLToPath(new URL('.', import.meta.url));
+
+// Every `.mat` under test/, recursively, so a fixture added later is swept by default. But not
+// test/fixtures/mat-check: copies of MATLAB-written files edited to break MATLAB's load rules on
+// purpose, each with MATLAB's verdict (test/matFileCheck.test.ts), many of them not framed.
+function matFilesUnder(dir: string): string[] {
+  const out: string[] = [];
+  for (const entry of readdirSync(dir, { withFileTypes: true })) {
+    const abs = join(dir, entry.name);
+    if (entry.isDirectory()) {
+      if (entry.name !== 'mat-check') {
+        out.push(...matFilesUnder(abs));
+      }
+    } else if (entry.isFile() && entry.name.endsWith('.mat')) {
+      out.push(abs);
+    }
+  }
+  return out.sort();
+}
+
+// The one file of the corpus the reader refuses: a `-v7.3` file is HDF5, not Level 5.
+const REFUSED = new Map([['strings_v73.mat', 'MAT-file version 7.3 (HDF5) is not supported']]);
+
+const shown = (abs: string) => abs.slice(TEST_ROOT.length);
+const basename = (abs: string) => abs.slice(abs.lastIndexOf('/') + 1);
+
+function arrayBufferOf(bytes: Uint8Array): ArrayBuffer {
+  return bytes.buffer.slice(bytes.byteOffset, bytes.byteOffset + bytes.byteLength) as ArrayBuffer;
+}
+
+function concat(parts: Uint8Array[]): Uint8Array {
+  const out = new Uint8Array(parts.reduce((n, p) => n + p.byteLength, 0));
+  let at = 0;
+  for (const p of parts) {
+    out.set(p, at);
+    at += p.byteLength;
+  }
+  return out;
+}
+
+const sameBytes = (a: Uint8Array, b: Uint8Array) => a.byteLength === b.byteLength && a.every((x, i) => x === b[i]);
+
+const align8 = (n: number) => n + ((8 - (n % 8)) % 8);
+
+const scalar = (name: string, value: number) => numericVar({ name, cls: CLASS.DOUBLE, dimensions: [1, 1], real: [value] });
+
+/** A top-level miCOMPRESSED record of `payload`: tag and zlib stream, unpadded, as MATLAB writes it. */
+const compressedRecord = (payload: Uint8Array) => {
+  const stream = zlibSync(payload);
+  return concat([u32le(MI.COMPRESSED), u32le(stream.length), stream]);
+};
+
+/** A MatNode opened from `bytes` through the session, as a host opens one. */
+function opened(bytes: ArrayBuffer, name = 'f.mat') {
+  const session = createSession();
+  const root: any = session.addMatSource(name, bytes);
+  return { session, root, by: (n: string) => root.children.find((c: any) => c.name === n) };
+}
+
+const fixture = (rel: string) => arrayBufferOf(new Uint8Array(readFileSync(join(TEST_ROOT, rel))));
+
+describe('every Level-5 fixture is its header and its records, byte for byte', () => {
+  const files = matFilesUnder(TEST_ROOT);
+
+  it('sweeps the whole corpus', () => {
+    // Lower bounds, so that a mis-filtered list cannot pass the sweep below vacuously.
+    expect(files.length).toBeGreaterThanOrEqual(30);
+    expect(files.map(basename)).toEqual(expect.arrayContaining(['cases.mat', 'Param.mat', 'strings.mat', 'nested_handles.mat']));
+  });
+
+  for (const file of files) {
+    const refusal = REFUSED.get(basename(file));
+    if (refusal) {
+      it(`${shown(file)} is refused, and has no records to sweep`, () => {
+        expect(() => parseMat(fixture(shown(file)))).toThrow(refusal);
+      });
+      continue;
+    }
+
+    it(shown(file), () => {
+      const input = fixture(shown(file));
+      const bytes = new Uint8Array(input);
+      const parsed = parseMat(input);
+
+      expect([parsed.framed, parsed.unframed]).toEqual([true, null]);
+      expect(sameBytes(concat([parsed.headerBytes, ...parsed.records.map((r) => r.bytes)]), bytes)).toBe(true);
+      // Views of the input, not copies: a file's records cost nothing more to keep.
+      expect(parsed.headerBytes.buffer).toBe(input);
+      expect(parsed.records.every((r) => r.bytes.buffer === input)).toBe(true);
+
+      // Each record framed as MATLAB frames it, one after another from byte 128.
+      const view = new DataView(input);
+      let at = 128;
+      for (const record of parsed.records) {
+        const type = view.getUint32(record.offset, true);
+        const nbytes = view.getUint32(record.offset + 4, true);
+        expect(record.offset).toBe(at);
+        expect(record.compressed).toBe(type === MI.COMPRESSED);
+        expect(record.length).toBe(record.compressed ? 8 + nbytes : 8 + align8(nbytes));
+        expect(record.bytes.byteLength).toBe(record.length);
+        at += record.length;
+      }
+      expect(at).toBe(bytes.byteLength);
+
+      // Every record read, each the record of one variable, in the file's order, and named
+      // as that variable is.
+      expect(parsed.records.map((r) => r.status)).toEqual(parsed.variables.map(() => 'read'));
+      expect(parsed.records.map((r) => r.variable)).toEqual(parsed.variables);
+      parsed.records.forEach((r, i) => expect(r.variable).toBe(parsed.variables[i]));
+      expect(parsed.records.map((r) => r.name)).toEqual(parsed.variables.map((v) => (v._anonymous ? '' : v.name)));
+
+      // The subsystem is the one unnamed record, the last, and where the header says it is.
+      const unnamed = parsed.records.filter((r) => r.anonymous);
+      if (parsed.subsystemOffset === 0) {
+        expect(unnamed).toEqual([]);
+      } else {
+        expect(unnamed.map((r) => r.offset)).toEqual([parsed.subsystemOffset]);
+        expect(parsed.records[parsed.records.length - 1]).toBe(unnamed[0]);
+      }
+    });
+  }
+
+  it('holds files with a subsystem and without one, compressed and plain', () => {
+    const parsed = files.filter((f) => !REFUSED.has(basename(f))).map((f) => parseMat(fixture(shown(f))));
+    expect(parsed.some((p) => p.subsystemOffset !== 0)).toBe(true);
+    expect(parsed.some((p) => p.subsystemOffset === 0 && p.records.length > 0)).toBe(true);
+    // nested_handles.mat and hexobj_values.mat are -v6: plain records, 8-byte aligned.
+    expect(parsed.some((p) => p.records.some((r) => !r.compressed))).toBe(true);
+    expect(parsed.some((p) => p.records.some((r) => r.compressed))).toBe(true);
+  });
+
+  for (const file of files.filter((f) => !REFUSED.has(basename(f)))) {
+    it(`${shown(file)}: every node opened is bound to its record, and to no other`, () => {
+      const { root } = opened(fixture(shown(file)), basename(file));
+      const parsed = parseMat(fixture(shown(file)));
+      expect(root.framed).toBe(true);
+      expect(root.subsystemOffset).toBe(parsed.subsystemOffset);
+      expect(sameBytes(root.headerBytes, parsed.headerBytes)).toBe(true);
+      const records: MatRecord[] = root.records;
+      expect(records.map((r) => [r.offset, r.length, r.name])).toEqual(parsed.records.map((r) => [r.offset, r.length, r.name]));
+
+      // A node per named record, in the file's order; none for the subsystem.
+      const named = records.filter((r) => !r.anonymous);
+      expect(root.children.length).toBe(named.length);
+      named.forEach((record, i) => {
+        const node = root.children[i];
+        expect(root.recordOf(node)).toBe(record);
+        expect(root.nodeOf(record)).toBe(node);
+        expect(record.name).toBe(node.name);
+      });
+      for (const record of records.filter((r) => r.anonymous)) {
+        expect(root.nodeOf(record)).toBeNull();
+      }
+    });
+  }
+});
+
+describe('a node of every kind is bound to its record', () => {
+  it('cases.mat: plain values, strings, and the typed nodes of Simulink objects', () => {
+    const { root, by } = opened(fixture('parity/artifacts/mat/cases.mat'), 'cases.mat');
+    const kinds: [string, string, string][] = [
+      ['kp', 'MatlabVariableNode', 'double'],
+      ['structNest', 'MatlabVariableNode', 'struct'],
+      ['cellNest', 'MatlabVariableNode', 'cell'],
+      ['strScalar', 'MatlabVariableNode', 'string'],
+      ['aParam', 'ParameterNode', 'Simulink.Parameter'],
+      ['aSignal', 'SignalNode', 'Simulink.Signal'],
+      ['aBus', 'BusNode', 'Simulink.Bus'],
+      ['objRow', 'ObjectNode', 'Simulink.Parameter'],
+    ];
+    for (const [name, nodeClass, className] of kinds) {
+      const node = by(name);
+      expect([node.constructor.name, node.className], name).toEqual([nodeClass, className]);
+      const record = root.recordOf(node);
+      expect([record.name, record.status, record.compressed], name).toEqual([name, 'read', true]);
+      expect(root.nodeOf(record), name).toBe(node);
+    }
+    // A typed node holds no variable (MatNode.getVariables skips it), and is bound all the same.
+    expect(by('aParam')._var).toBeUndefined();
+    expect(root.recordOf(by('aParam')).variable.isOpaque).toBe(true);
+  });
+
+  it('Param.mat: a Simulink.Parameter, and the subsystem bound to no node', () => {
+    const { root } = opened(fixture('fixtures/mcos/Param.mat'), 'Param.mat');
+    const [param, subsystem] = root.records as MatRecord[];
+    expect(root.children.map((c: any) => c.constructor.name)).toEqual(['ParameterNode']);
+    expect(root.recordOf(root.children[0])).toBe(param);
+    expect([subsystem.anonymous, subsystem.name, subsystem.offset, root.nodeOf(subsystem)]).toEqual([true, '', root.subsystemOffset, null]);
+    expect(root._anonymousElements.length).toBe(1);
+    expect(root._anonymousElements[0]).toBe(subsystem.variable);
+  });
+
+  it('dispcat_opaque.mat: function handles, built from a literal, are bound as well', () => {
+    const { root, by } = opened(fixture('fixtures/display/dispcat_opaque.mat'), 'dispcat_opaque.mat');
+    for (const name of ['fh_sin', 'fh_anon', 'e_func_handle_none']) {
+      const node = by(name);
+      expect(node.className, name).toBe('function_handle');
+      expect(root.recordOf(node).name).toBe(name);
+      expect(root.nodeOf(root.recordOf(node))).toBe(node);
+    }
+  });
+
+  it('strings.mat: every string array', () => {
+    const { root } = opened(fixture('fixtures/strings.mat'), 'strings.mat');
+    expect(root.children.length).toBe(11);
+    for (const node of root.children) {
+      expect([node.className, root.recordOf(node).name]).toEqual(['string', node.name]);
+    }
+  });
+
+  it('a value shown as not decoded, its flags word overwritten with a class the reader does not model', () => {
+    const z = numericVar({ name: 'z', cls: CLASS.DOUBLE, dimensions: [1, 1], real: [3], imag: [4] });
+    // Byte 16 of the matrix is its array-flags data: class 255, and the complex flag kept.
+    z[16] = 0xff;
+    const { root, by } = opened(matFile([scalar('a', 1), z]));
+    expect(by('z').displayValue).toContain('not decoded');
+    expect(root.children.map((c: any) => root.recordOf(c).name)).toEqual(['a', 'z']);
+    expect(root.framed).toBe(true);
+  });
+});
+
+describe('records that do not tile the file are not framed, and the file opens as it did', () => {
+  const a = scalar('a', 1);
+  const b = scalar('b', 2);
+  const base = new Uint8Array(matFile([a, b]));
+
+  // How a file opens, as a host is shown it: each variable's name and value, and the warnings.
+  const shownAs = (bytes: ArrayBuffer) => {
+    const { root } = opened(bytes);
+    return { rows: root.children.map((c: any) => [c.name, c.displayValue]), warnings: parseMat(bytes).warnings };
+  };
+
+  it('the synthesized base is framed: two plain records', () => {
+    const parsed = parseMat(arrayBufferOf(base));
+    expect([parsed.framed, parsed.records.map((r) => [r.offset, r.compressed])]).toEqual([true, [[128, false], [128 + a.length, false]]]);
+    expect(shownAs(arrayBufferOf(base))).toEqual({ rows: [['a', '1'], ['b', '2']], warnings: [] });
+  });
+
+  for (const zeros of [8, 16]) {
+    it(`${zeros} trailing zero bytes: a zero tag, which is no record`, () => {
+      const bytes = arrayBufferOf(concat([base, new Uint8Array(zeros)]));
+      const parsed = parseMat(bytes);
+      expect(parsed.framed).toBe(false);
+      expect(parsed.unframed!.at).toBe(base.length);
+      expect(parsed.records.length).toBe(2);
+      expect(shownAs(bytes)).toEqual(shownAs(arrayBufferOf(base)));
+    });
+  }
+
+  it('3 trailing bytes: the file ends inside a tag', () => {
+    const bytes = arrayBufferOf(concat([base, new Uint8Array([1, 2, 3])]));
+    const parsed = parseMat(bytes);
+    expect([parsed.framed, parsed.unframed!.at, parsed.records.length]).toEqual([false, base.length, 2]);
+    expect(shownAs(bytes).rows).toEqual([['a', '1'], ['b', '2']]);
+    expect(parsed.warnings.map((w) => w.message)).toEqual([
+      'The file ends with 3 byte(s) where a record header needs 8, so anything stored after the last variable read was not read.',
+    ]);
+  });
+
+  it('a truncated last record: its view holds what the file does', () => {
+    const cut = base.subarray(0, base.length - 5);
+    const parsed = parseMat(arrayBufferOf(cut));
+    const last = parsed.records[1];
+    expect([parsed.framed, parsed.unframed!.at]).toEqual([false, 128 + a.length]);
+    expect([last.length, last.bytes.byteLength, last.status, last.name]).toEqual([b.length - 5, b.length - 5, 'read', 'b']);
+    // The reader reads it short and says so, as it did.
+    expect(parsed.warnings.map((w) => w.part)).toEqual(['b']);
+    expect(shownAs(arrayBufferOf(cut)).rows.map((r: unknown[]) => r[0])).toEqual(['a', 'b']);
+  });
+
+  // A char 'abc' is an miUTF8 element of 3 bytes and 5 of padding, its last sub-element: a
+  // record whose nbytes leaves that padding out declares 5 bytes fewer than its matrix holds.
+  const c = charVar('c', 'abc', MI.UTF8);
+  const unpadded = (withPad: boolean) =>
+    concat([u32le(MI.MATRIX), u32le(c.length - 8 - 5), c.subarray(8, withPad ? c.length : c.length - 5)]);
+
+  it('a plain record missing its final padding', () => {
+    const bytes = arrayBufferOf(concat([new Uint8Array(matFile([a])), unpadded(false)]));
+    const parsed = parseMat(bytes);
+    expect([parsed.framed, parsed.unframed!.at]).toEqual([false, 128 + a.length]);
+    expect(parsed.unframed!.reason).toContain(`needs ${c.length} bytes and the file holds ${c.length - 5}`);
+    expect(shownAs(bytes)).toEqual({ rows: [['a', '1'], ['c', "'abc'"]], warnings: [] });
+  });
+
+  it('a plain record whose nbytes is not a multiple of 8, even with its padding there', () => {
+    // The reader steps over it without the padding, and reads the next tag out of it.
+    const parsed = parseMat(arrayBufferOf(concat([new Uint8Array(matFile([a])), unpadded(true)])));
+    expect([parsed.framed, parsed.unframed!.at]).toEqual([false, 128 + a.length]);
+    expect(parsed.unframed!.reason).toContain('not a whole number of 8-byte words');
+    expect(parsed.records.map((r) => r.name)).toEqual(['a', 'c']);
+  });
+
+  it('zero padding after a compressed record', () => {
+    // MATLAB writes a compressed record unpadded, and fails a file padded after one
+    // (research R5); the reader steps 8 + nbytes, onto the padding.
+    let record = compressedRecord(scalar('a', 1));
+    let value = 1;
+    while (record.length % 8 === 0) {
+      record = compressedRecord(scalar('a', ++value));
+    }
+    const bytes = arrayBufferOf(concat([new Uint8Array(matFile([record])), new Uint8Array(8 - (record.length % 8))]));
+    const parsed = parseMat(bytes);
+    expect([parsed.framed, parsed.unframed!.at, parsed.records.length]).toEqual([false, 128 + record.length, 1]);
+    expect(shownAs(bytes).rows).toEqual([['a', String(value)]]);
+  });
+
+  it('a zero tag with a variable after it: the reader stops there, as it did', () => {
+    const bytes = arrayBufferOf(new Uint8Array(matFile([a, new Uint8Array(8), b])));
+    const parsed = parseMat(bytes);
+    expect([parsed.framed, parsed.unframed!.at, parsed.records.map((r) => r.name)]).toEqual([false, 128 + a.length, ['a']]);
+    expect(shownAs(bytes)).toEqual({ rows: [['a', '1']], warnings: [] });
+  });
+
+  it("a small data element's tag at the top of the file", () => {
+    // An int32 0 in the small form, whose payload word the reader takes for its nbytes.
+    const small = concat([u32le((4 << 16) | MI.INT32), u32le(0)]);
+    const bytes = arrayBufferOf(new Uint8Array(matFile([a, small, b])));
+    const parsed = parseMat(bytes);
+    expect([parsed.framed, parsed.unframed!.at]).toEqual([false, 128 + a.length]);
+    expect(shownAs(bytes).rows).toEqual([['a', '1'], ['b', '2']]);
+  });
+
+  it('a header and nothing after it is framed, and holds no records', () => {
+    const parsed = parseMat(matFile([]));
+    expect([parsed.framed, parsed.records, parsed.subsystemOffset]).toEqual([true, [], 0]);
+  });
+});
+
+describe('a record the reader drops is still a record', () => {
+  afterEach(() => setMatRecordInflateCeiling(undefined));
+
+  const a = scalar('a', 1);
+  const b = scalar('b', 2);
+
+  // The file `[a, middle, b]`, the dropped middle record, and the one warning it gave.
+  function dropping(middle: Uint8Array) {
+    const input = matFile([a, middle, b]);
+    const parsed = parseMat(input);
+    expect(parsed.framed).toBe(true);
+    expect(sameBytes(concat([parsed.headerBytes, ...parsed.records.map((r) => r.bytes)]), new Uint8Array(input))).toBe(true);
+    const [, dropped] = parsed.records;
+    expect([dropped.offset, dropped.length, dropped.status, dropped.name, dropped.variable, dropped.anonymous])
+      .toEqual([128 + a.length, middle.length, 'dropped', null, null, false]);
+    expect(parsed.warnings.map((w) => w.message)).toEqual([dropped.reason]);
+    // The variables around it open and are bound; it has no node.
+    const { root } = opened(input);
+    expect(root.children.map((n: any) => root.recordOf(n).name)).toEqual(['a', 'b']);
+    expect(root.nodeOf(root.records[1])).toBeNull();
+    return dropped;
+  }
+
+  it('one that does not inflate', () => {
+    const junk = new Uint8Array([0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88]);
+    const dropped = dropping(concat([u32le(MI.COMPRESSED), u32le(junk.length), junk]));
+    expect([dropped.compressed, dropped.reason]).toEqual([true, expect.stringContaining('could not be decompressed')]);
+  });
+
+  it('one that inflates past the ceiling for one record', () => {
+    setMatRecordInflateCeiling(1024);
+    const big = numericVar({ name: 'big', cls: CLASS.UINT8, dimensions: [4096, 1], real: new Array(4096).fill(0) });
+    expect(dropping(compressedRecord(big)).reason).toContain('inflates to more than the 1024-byte ceiling');
+  });
+
+  it('one that inflates to fewer bytes than a tag', () => {
+    expect(dropping(compressedRecord(new Uint8Array(4))).reason).toContain('fewer than the 8');
+  });
+
+  it('one that inflates to an element that is not a matrix', () => {
+    expect(dropping(compressedRecord(element(MI.INT32, new Uint8Array(8)))).reason).toContain('where a variable has to be a matrix');
+  });
+
+  it('a plain record of a type that is not a variable', () => {
+    const dropped = dropping(element(MI.INT32, new Uint8Array(8)));
+    expect([dropped.compressed, dropped.reason]).toEqual([false, expect.stringContaining('is not a variable')]);
+  });
+});
+
+describe("the header's subsystem offset", () => {
+  const withOffset = (bytes: number[]) => {
+    const input = new Uint8Array(matFile([scalar('a', 1)]));
+    input.set(bytes, 116);
+    return parseMat(arrayBufferOf(input)).subsystemOffset;
+  };
+
+  it('is the little-endian uint64 in bytes 116-123', () => {
+    expect(withOffset([0x34, 0x12, 0, 0, 0, 0, 0, 0])).toBe(0x1234);
+    expect(withOffset([0, 0, 0, 0, 1, 0, 0, 0])).toBe(2 ** 32);
+  });
+
+  it('is 0 for 8 zero bytes, and for 8 spaces', () => {
+    expect(withOffset([0, 0, 0, 0, 0, 0, 0, 0])).toBe(0);
+    expect(withOffset(new Array(8).fill(0x20))).toBe(0);
+  });
+});
+
+describe("a host's parse", () => {
+  const input = () => fixture('fixtures/mcos/object_props.mat');
+
+  function openedParsed(parsed: unknown) {
+    const session = createSession();
+    return session.addMatSourceParsed('object_props.mat', parsed) as any;
+  }
+
+  it('with no records, as an older package hands one over: no records, nothing bound, and the tree as before', () => {
+    const { header, variables, warnings } = parseMat(input());
+    const root = openedParsed({ header, variables, warnings });
+    expect([root.records, root.headerBytes, root.framed, root.subsystemOffset]).toEqual([null, null, false, 0]);
+    expect(root.children.map((c: any) => root.recordOf(c))).toEqual([null, null, null]);
+    expect(root.children.map((c: any) => c.name)).toEqual(opened(input()).root.children.map((c: any) => c.name));
+  });
+
+  it('structured-cloned off a worker: each record is still its variable, and the nodes are bound', () => {
+    const root = openedParsed(structuredClone(parseMat(input())));
+    expect([root.framed, root.records.length]).toEqual([true, 4]);
+    expect(root.children.map((c: any) => root.recordOf(c)?.name)).toEqual(root.children.map((c: any) => c.name));
+  });
+
+  it('whose variables a host changed since: nothing bound', () => {
+    const parsed: ParsedMat = parseMat(input());
+    const root = openedParsed({ ...parsed, variables: parsed.variables.slice(1) });
+    expect(root.records).toBeNull();
+    expect(root.children.map((c: any) => root.recordOf(c))).toEqual(root.children.map(() => null));
+  });
+
+  it('whose records hold no bytes: nothing bound', () => {
+    const parsed: ParsedMat = parseMat(input());
+    const root = openedParsed({ ...parsed, records: parsed.records.map((r) => ({ ...r, bytes: Array.from(r.bytes) })) });
+    expect(root.records).toBeNull();
+  });
+});
+
+// What a save decides on, pinned here so that it is not changed from under the writer: the
+// top-level node's status says whether anything under it was edited, and a node keeps its
+// record through every edit, a delete and its undo.
+describe('an edit and its record', () => {
+  const casesMat = () => {
+    const { session, root, by } = opened(fixture('parity/artifacts/mat/cases.mat'), 'cases.mat');
+    const edit = (node: any, prop: string, value: string) => {
+      session.setActive(root, node);
+      return session.editProperty(node.id, prop, value);
+    };
+    return { session, root, by, edit };
+  };
+
+  const childEdits: [string, (by: (n: string) => any) => any][] = [
+    ['a matrix element', (by) => by('mat2x3').children[0]],
+    ['a struct field', (by) => by('structScalar').children[0]],
+    ["a struct array element's field", (by) => by('struct1x3').children[0].children[0]],
+    ['a cell member', (by) => by('cellFlat').children[0]],
+  ];
+  for (const [what, target] of childEdits) {
+    it(`${what}'s edit makes the variable it is in Modified`, () => {
+      const { by, edit } = casesMat();
+      const node = target(by);
+      let top = node;
+      while (top.parent.parent) {
+        top = top.parent;
+      }
+      expect(top.status).toBe('');
+      expect(edit(node, 'Value', '9')).toBe(true);
+      expect(top.status).toBe('Modified');
+    });
+  }
+
+  it('an added field makes the struct Modified', () => {
+    const { session, root, by } = casesMat();
+    const struct = by('structScalar');
+    session.setActive(root, struct);
+    expect(session.addChildTo(struct.id)).not.toBeNull();
+    expect(struct.status).toBe('Modified');
+  });
+
+  it("an object's property edit is refused, and leaves its typed node as it was; one made around the editor makes it Modified", () => {
+    // A MAT-file's save writes an object only as it was read, or renamed (MatNode._editRefusal).
+    const { by, edit } = casesMat();
+    expect(edit(by('aParam'), 'Value', '[1 2 3]')).toMatchObject({ error: true });
+    expect(by('aParam').status).toBe('');
+    by('aParam')._markModified();
+    expect(by('aParam').status).toBe('Modified');
+  });
+
+  it('a rename shows on the node, and the record keeps the name the file holds', () => {
+    const { root, by, edit } = casesMat();
+    const node = by('kp');
+    expect(edit(node, 'Name', 'kp2')).toBe(true);
+    expect([node.name, node.status, root.recordOf(node).name]).toEqual(['kp2', 'Modified', 'kp']);
+  });
+
+  it('a deleted node is out of the tree and still its record\'s, and its undo puts that node back', () => {
+    const { session, root, by } = casesMat();
+    const node = by('kp');
+    const record = root.recordOf(node);
+    session.setActive(root, node);
+    expect(session.deleteNodeById(node.id)).toBe(true);
+    expect(node.parent).toBeNull();
+    expect(root.nodeOf(record)).toBe(node);
+    session.undo();
+    expect(node.parent).toBe(root);
+    expect(root.children[0]).toBe(node);
+    expect(root.recordOf(node)).toBe(record);
+  });
+
+  it('a variable added since the file was read has no record, and no status to say it is new', () => {
+    const { root } = casesMat();
+    const { node } = root.execAddEntry();
+    expect([root.recordOf(node), node.status]).toEqual([null, '']);
+  });
+});
diff --git a/test/matSpliceVerdict.test.ts b/test/matSpliceVerdict.test.ts
new file mode 100644
index 00000000..2b0a2fe7
--- /dev/null
+++ b/test/matSpliceVerdict.test.ts
@@ -0,0 +1,353 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// The `.mat` save judges what it wrote by MATLAB's load rules where it changed the file
+// (MatFileCheck.violationsAddedBySplice), and no longer by checking the file it read and the
+// file it wrote whole, which inflated every compressed record of both at every save and could
+// not save a file past the check's budget at all. The answer has to be the one the whole-file
+// check gave: `violationsAdded(checkMatFile(read), checkMatFile(written), renamed)`.
+//
+//   * Over every .mat under test/, MATLAB's verdict corpus included, and a set of saves of each
+//     (every variable renamed, every plain one written fresh, every other one deleted, one
+//     added, all four at once, and one written as bytes MATLAB fails on), the splice's verdict
+//     is the whole-file one, rule by rule and variable by variable, for every save that reached
+//     the check.
+//   * Where it may not take the short way, it takes the long one, and says the same.
+//   * A file past the check's budget whole saves where it changed little, and the budget is
+//     spent on what changed.
+import { describe, it, expect, vi } from 'vitest';
+import { readFileSync, readdirSync } from 'node:fs';
+import { join } from 'node:path';
+import { fileURLToPath } from 'node:url';
+import { zlibSync } from 'fflate';
+import { checkMatFile, violationsAdded, violationsAddedBySplice } from '../src/datamodel/parser/MatFileCheck.js';
+import type { MatFileOfRecords, MatReadRecord, MatSplicedRecord, MatViolation } from '../src/datamodel/parser/MatFileCheck.js';
+import { serializeMatFile } from '../src/datamodel/parser/MatFileWriter.js';
+import { MatWriteError } from '../src/datamodel/parser/MatWriter.js';
+import { parseMat } from '../src/datamodel/parser/MatParser.js';
+import { createSession } from '../src/index.js';
+import { CLASS, MI, charVar, matFile, numericVar, u32le } from './tools/matBytes.js';
+
+// Every call the writer makes of the splice's verdict, with what it answered.
+const calls = vi.hoisted(() => [] as { read: any; written: any; renamed: ReadonlyMap<string, string>; added: MatViolation[] }[]);
+vi.mock('../src/datamodel/parser/MatFileCheck.js', async (importOriginal) => {
+  const actual = await importOriginal<typeof import('../src/datamodel/parser/MatFileCheck.js')>();
+  return {
+    ...actual,
+    violationsAddedBySplice: (read: any, written: any, renamed: ReadonlyMap<string, string> = new Map(), options = {}) => {
+      const added = actual.violationsAddedBySplice(read, written, renamed, options);
+      calls.push({ read, written, renamed, added });
+      return added;
+    },
+  };
+});
+
+const TEST_ROOT = fileURLToPath(new URL('.', import.meta.url));
+
+function matFilesUnder(dir: string): string[] {
+  const out: string[] = [];
+  for (const entry of readdirSync(dir, { withFileTypes: true })) {
+    const abs = join(dir, entry.name);
+    if (entry.isDirectory()) {
+      out.push(...matFilesUnder(abs));
+    } else if (entry.isFile() && entry.name.endsWith('.mat')) {
+      out.push(abs);
+    }
+  }
+  return out.sort();
+}
+
+// The one file under test/ the reader refuses: a `-v7.3` file is HDF5, not Level 5.
+const FILES = matFilesUnder(TEST_ROOT).filter((f) => !f.endsWith('strings_v73.mat'));
+
+function arrayBufferOf(bytes: Uint8Array): ArrayBuffer {
+  return bytes.buffer.slice(bytes.byteOffset, bytes.byteOffset + bytes.byteLength) as ArrayBuffer;
+}
+
+function joined(header: Uint8Array, records: readonly Uint8Array[]): Uint8Array {
+  const out = new Uint8Array(header.byteLength + records.reduce((n, r) => n + r.byteLength, 0));
+  out.set(header, 0);
+  let at = header.byteLength;
+  for (const r of records) {
+    out.set(r, at);
+    at += r.byteLength;
+  }
+  return out;
+}
+
+const readFile = (read: MatFileOfRecords<MatReadRecord>) => joined(read.header, read.records.map((r) => r.bytes));
+const writtenFile = (read: MatFileOfRecords<MatReadRecord>, written: MatFileOfRecords<MatSplicedRecord>) =>
+  joined(written.header, written.records.map((r) => ('kept' in r ? read.records[r.kept].bytes : r.written)));
+
+// A verdict as violationsAdded counts it: by rule, and by variable under its name as read.
+const keyed = (added: readonly MatViolation[], renamed: ReadonlyMap<string, string>) =>
+  added.map((v) => v.code + ' ' + (v.variable === undefined ? '' : renamed.get(v.variable) ?? v.variable)).sort();
+
+/** A MatNode opened from `bytes` through the session, as a host opens one, and its edits. */
+function opened(bytes: ArrayBuffer, name: string) {
+  const session = createSession();
+  const root: any = session.addMatSource(name, bytes);
+  const edit = (node: any, prop: string, value: string) => {
+    session.setActive(root, node);
+    return session.editProperty(node.id, prop, value);
+  };
+  const remove = (node: any) => {
+    session.setActive(root, node);
+    return session.deleteNodeById(node.id);
+  };
+  return { root, edit, remove };
+}
+
+const plainOf = (root: any) => root.children.filter((n: any) => n._matWritable?.() === true && !root.recordOf(n)?.variable?.isOpaque);
+
+// The stream of a char array stored as miUINT16, which this package's reader reads back as
+// written and MATLAB reads as the low byte of each unit (`char-type`): what a writer that broke
+// a rule would write, standing in for one.
+function uint16CharStream(text: string): Uint8Array {
+  const units = new Uint8Array(text.length * 2);
+  for (let i = 0; i < text.length; i++) {
+    new DataView(units.buffer).setUint16(2 * i, text.charCodeAt(i), true);
+  }
+  const tag = (type: number, n: number) => joined(u32le(type), [u32le(n)]);
+  const body = joined(new Uint8Array(0), [
+    tag(MI.UINT32, 8), u32le(CLASS.CHAR), u32le(0),
+    tag(MI.INT32, 8), u32le(1), u32le(text.length),
+    tag(MI.INT8, 0),
+    tag(MI.UINT16, units.length), units, new Uint8Array((8 - (units.length % 8)) % 8),
+  ]);
+  return joined(new Uint8Array([0, 1, 0x49, 0x4d, 0, 0, 0, 0]), [tag(MI.MATRIX, body.length), body]);
+}
+
+// Each kind of save, and at least how many of the files reach the check with it (measured when
+// this was written: 120, 74, 121, 123, 115 and 123), and whether it is written to break a rule.
+const SAVES: [string, (o: ReturnType<typeof opened>) => void, number, boolean][] = [
+  ['every variable renamed', (o) => o.root.children.slice().forEach((n: any, i: number) => o.edit(n, 'Name', 'renamed' + i)), 110, false],
+  ['every plain variable written fresh', (o) => plainOf(o.root).forEach((n: any) => n._markModified()), 65, false],
+  ['every other variable deleted', (o) => o.root.children.filter((_: any, i: number) => i % 2 === 0).forEach((n: any) => o.remove(n)), 110, false],
+  ['a variable added', (o) => o.root.execAddEntry(), 110, false],
+  [
+    'renamed, written fresh, deleted and added at once',
+    (o) => {
+      const [first, second, third] = o.root.children;
+      first && o.edit(first, 'Name', 'renamedFirst');
+      second && plainOf(o.root).includes(second) && second._markModified();
+      third && o.remove(third);
+      o.root.execAddEntry();
+    },
+    105,
+    false,
+  ],
+  [
+    'a variable added as bytes that break a rule',
+    (o) => {
+      const added = o.root.execAddEntry()?.node;
+      if (added && o.edit(added, 'Value', "'中文'") === true) {
+        added._matStream = () => uint16CharStream('中文');
+      }
+    },
+    110,
+    true,
+  ],
+];
+
+describe('the verdict of a save, judged where it changed the file, is the verdict of both files judged whole', () => {
+  for (const [what, edit, least, breaks] of SAVES) {
+    it(what, () => {
+      let compared = 0;
+      let refusedByIt = 0;
+      const notRefused: MatViolation[][] = [];
+      for (const file of FILES) {
+        const input = new Uint8Array(readFileSync(file));
+        const o = opened(arrayBufferOf(input), file.slice(file.lastIndexOf('/') + 1));
+        edit(o);
+        calls.length = 0;
+        try {
+          serializeMatFile(o.root);
+        } catch (e) {
+          expect(e, file).toBeInstanceOf(MatWriteError);
+        }
+        for (const { read, written, renamed, added } of calls) {
+          // The read side is the file, byte for byte.
+          const before = readFile(read);
+          expect(before.byteLength === input.byteLength && before.every((b, i) => b === input[i]), file).toBe(true);
+          const whole = violationsAdded(checkMatFile(before), checkMatFile(writtenFile(read, written)), renamed);
+          expect(keyed(added, renamed), `${file}: ${what}`).toEqual(keyed(whole, renamed));
+          compared++;
+          refusedByIt += added.length > 0 ? 1 : 0;
+          if (added.length === 0) {
+            notRefused.push(checkMatFile(before));
+          }
+        }
+      }
+      // Not vacuous: most of the 137 files reach the check with each kind of save (fewer with
+      // a plain variable to write fresh: the corpus holds many of objects alone), and none but
+      // the one written to break a rule is refused by either.
+      expect(compared, what).toBeGreaterThanOrEqual(least);
+      if (breaks) {
+        // Refused by both wherever the check reads past the header, which it does not of a file
+        // whose header is not a Level-5 one (version-0x0000.mat, version-0x0200.mat): MATLAB
+        // loads nothing of it, before the save or after.
+        expect(refusedByIt, what).toBeGreaterThanOrEqual(least);
+        for (const violations of notRefused) {
+          expect(violations.map((v) => v.code), what).toContain('not-level5');
+        }
+      } else {
+        expect(refusedByIt, what).toBe(0);
+      }
+    });
+  }
+});
+
+// ---- Files made to break each rule ------------------------------------------------------------
+
+const scalar = (name: string, value: number) => numericVar({ name, cls: CLASS.DOUBLE, dimensions: [1, 1], real: [value] });
+
+// A compressed record of `element`, as MATLAB writes one: its zlib stream in an miCOMPRESSED tag.
+const compressed = (element: Uint8Array) => {
+  const stream = zlibSync(element, { level: 6 });
+  return joined(u32le(MI.COMPRESSED), [u32le(stream.byteLength), stream]);
+};
+
+// The file of `records`, as a splice's read side.
+function readOf(records: Uint8Array[]): MatFileOfRecords<MatReadRecord> {
+  const bytes = new Uint8Array(matFile(records));
+  return { header: bytes.subarray(0, 128), records: parseMat(arrayBufferOf(bytes)).records.map((r) => ({ bytes: r.bytes })) };
+}
+
+const both = (read: MatFileOfRecords<MatReadRecord>, written: MatFileOfRecords<MatSplicedRecord>, renamed = new Map<string, string>()) => {
+  const whole = violationsAdded(checkMatFile(readFile(read)), checkMatFile(writtenFile(read, written)), renamed);
+  return [keyed(violationsAddedBySplice(read, written, renamed), renamed), keyed(whole, renamed)];
+};
+
+describe('the short way says what the long way says of the rules of where records stand', () => {
+  // `b` is a char stored as miUINT8, which MATLAB fails on (`char-type`).
+  const read = readOf([scalar('a', 1), charVar('b', 'xy', MI.UINT8), scalar('c', 3)]);
+  const header = (offset: bigint) => {
+    const h = read.header.slice();
+    new DataView(h.buffer).setBigUint64(116, offset, true);
+    return h;
+  };
+  const cases: [string, MatFileOfRecords<MatSplicedRecord>, Map<string, string>, string[]][] = [
+    ['a variable added under a name the file holds', { header: read.header, records: [{ kept: 0 }, { kept: 1 }, { kept: 2 }, { written: scalar('a', 2), replaces: null }] }, new Map(), ['duplicate-name a']],
+    ['an unnamed record added before the last', { header: read.header, records: [{ kept: 0 }, { written: scalar('', 2), replaces: null }, { kept: 2 }] }, new Map(), ['anonymous-record ']],
+    ['a header that places the subsystem where none is', { header: header(136n), records: [{ kept: 0 }, { kept: 1 }, { kept: 2 }] }, new Map(), ['subsystem-offset ']],
+    ['a variable renamed, its violation with it', { header: read.header, records: [{ kept: 0 }, { written: charVar('bb', 'xy', MI.UINT8), replaces: 1 }, { kept: 2 }] }, new Map([['bb', 'b']]), []],
+    ['a variable renamed, its violation said under its new name alone', { header: read.header, records: [{ kept: 0 }, { written: charVar('bb', 'xy', MI.UINT8), replaces: 1 }, { kept: 2 }] }, new Map(), ['char-type bb']],
+    ['a variable written as bytes that break a rule', { header: read.header, records: [{ written: charVar('a', 'xy', MI.UINT8), replaces: 0 }, { kept: 1 }, { kept: 2 }] }, new Map(), ['char-type a']],
+    ['the variable that broke one deleted, and another written so', { header: read.header, records: [{ written: charVar('a', 'xy', MI.UINT8), replaces: 0 }, { kept: 2 }] }, new Map(), ['char-type a']],
+  ];
+  for (const [what, written, renamed, expected] of cases) {
+    it(what, () => {
+      const [splice, whole] = both(read, written, renamed);
+      expect(splice).toEqual(whole);
+      expect(splice).toEqual(expected);
+    });
+  }
+
+  it('a deleted record is checked when what is added could be matched with one of its violations', () => {
+    // `end` deleted and `end` added: the added one's `name` violation is the deleted one's.
+    const read = readOf([scalar('a', 1), scalar('end', 2)]);
+    const [splice, whole] = both(read, { header: read.header, records: [{ kept: 0 }, { written: scalar('end', 3), replaces: null }] });
+    expect(splice).toEqual(whole);
+    expect(splice).toEqual([]);
+  });
+});
+
+describe('where the short way does not hold, the splice checks both files whole, or as far as the whole check reads them', () => {
+  it('a record kept twice: its violation is counted twice, as the whole check counts it', () => {
+    const read = readOf([scalar('a', 1), scalar('end', 2)]);
+    const [splice, whole] = both(read, { header: read.header, records: [{ kept: 0 }, { kept: 1 }, { kept: 1 }] });
+    expect(splice).toEqual(whole);
+    expect(splice).toEqual(['duplicate-name end', 'name end']);
+  });
+
+  it('a record kept and replaced', () => {
+    const read = readOf([scalar('a', 1), scalar('end', 2)]);
+    const [splice, whole] = both(read, { header: read.header, records: [{ kept: 1 }, { written: scalar('end', 3), replaces: 1 }] });
+    expect(splice).toEqual(whole);
+    expect(splice).toEqual(['duplicate-name end', 'name end']);
+  });
+
+  it('a kept record holding a name the renames map: its violation is compared under the other name, as the whole check compares it', () => {
+    // 'end' breaks `name`; renaming `a` to it maps 'end' to 'a', and the kept record's violation
+    // with it.
+    const read = readOf([scalar('a', 1), scalar('end', 2)]);
+    const renamed = new Map([['end', 'a']]);
+    const [splice, whole] = both(read, { header: read.header, records: [{ written: scalar('end', 1), replaces: 0 }, { kept: 1 }] }, renamed);
+    expect(splice).toEqual(whole);
+    expect(splice.length).toBeGreaterThan(0);
+  });
+
+  it('a record whose tag the walk reads as padding: a top-level type above 255', () => {
+    const odd = joined(u32le(0x100), [u32le(8), new Uint8Array(8)]);
+    const read = readOf([scalar('a', 1), odd]);
+    const [splice, whole] = both(read, { header: read.header, records: [{ kept: 1 }, { written: scalar('end', 1), replaces: null }] });
+    expect(splice).toEqual(whole);
+    // The walk stops at the padding it takes the record for, so the record after it is not seen.
+    expect(splice).toEqual([]);
+  });
+
+  it('a header the check reads no further than, on both sides', () => {
+    const read = readOf([scalar('a', 1)]);
+    const header = read.header.slice();
+    header[125] = 0x02;
+    const off = { header, records: read.records };
+    const [splice, whole] = both(off, { header, records: [{ written: scalar('end', 1), replaces: 0 }] });
+    expect(splice).toEqual(whole);
+    expect(splice).toEqual([]);
+  });
+
+});
+
+// ---- The budget -------------------------------------------------------------------------------
+
+describe('a file past the check\'s budget whole is checked, and saved, where it changed', () => {
+  // Three compressed records, two of them a MiB of zeros each, under a budget of 1.5 MiB of
+  // inflated bytes: checked whole, the file stops at the budget; the splice spends it on what
+  // changed, the records written and the ones they replace.
+  const MIB = 2 ** 20;
+  const big = (name: string) => numericVar({ name, cls: CLASS.UINT8, dimensions: [1, MIB], real: [], rawReal: new Uint8Array(MIB) });
+  const input = matFile([compressed(scalar('a', 1)), compressed(big('big1')), compressed(big('big2'))]);
+  const budget = { maxInflatedBytes: 1.5 * MIB };
+
+  it('is past the budget, whole', () => {
+    expect(checkMatFile(new Uint8Array(input), budget).map((v) => v.code)).toEqual(['budget']);
+    expect(checkMatFile(new Uint8Array(input))).toEqual([]);
+  });
+
+  it('saves a rename of a small variable, and of a big one the budget holds', () => {
+    for (const name of ['a', 'big1']) {
+      const o = opened(input, 'big.mat');
+      const node = o.root.children.find((c: any) => c.name === name);
+      expect(o.edit(node, 'Name', name + 'Renamed'), name).toBe(true);
+      const saved = serializeMatFile(o.root, budget);
+      expect(parseMat(arrayBufferOf(saved)).variables.map((v) => v.name), name).toEqual(
+        ['a', 'big1', 'big2'].map((n) => (n === name ? name + 'Renamed' : n)),
+      );
+      // Checked whole without a budget, it adds nothing.
+      expect(violationsAdded(checkMatFile(new Uint8Array(input)), checkMatFile(saved), new Map([[name + 'Renamed', name]])), name).toEqual([]);
+    }
+  });
+
+  it('saves an edit of the small variable, and a delete of a big one', () => {
+    const o = opened(input, 'big.mat');
+    expect(o.edit(o.root.children[0], 'Value', '7')).toBe(true);
+    expect(o.remove(o.root.children[2])).toBe(true);
+    const parsed = parseMat(arrayBufferOf(serializeMatFile(o.root, budget)));
+    expect(parsed.variables.map((v) => [v.name, v.name === 'a' ? v.value : v.dimensions])).toEqual([['a', 7], ['big1', [1, MIB]]]);
+  });
+
+  it('refuses, saying it could not verify it, a rename of a variable past the budget itself', () => {
+    const o = opened(input, 'big.mat');
+    expect(o.edit(o.root.children[1], 'Name', 'big1Renamed')).toBe(true);
+    let thrown: unknown;
+    try {
+      serializeMatFile(o.root, { maxInflatedBytes: MIB / 2 });
+    } catch (e) {
+      thrown = e;
+    }
+    expect(thrown).toBeInstanceOf(MatWriteError);
+    expect((thrown as Error).message).toMatch(
+      /^Cannot save "big\.mat": the file written for it could not be verified within the check's budget against the rules MATLAB loads a file by \(The check stopped at byte \d+, at more than the 524288 bytes one check inflates, so nothing from there on was checked\), so it is not known to load\. Nothing was written\.$/,
+    );
+  });
+});
diff --git a/test/matStructArray.test.ts b/test/matStructArray.test.ts
index db925c82..ddb43ada 100644
--- a/test/matStructArray.test.ts
+++ b/test/matStructArray.test.ts
@@ -355,6 +355,9 @@ describe('a MAT struct array with no fields, past the row cap', () => {
     expect(opened(fieldless('s', [3, 4])).map(shown)).toEqual([['s', '<3x4 struct>', 12]]);
     expect(opened(fieldless('s', [1, MAX])).map(shown)).toEqual([['s', `<1x${MAX} struct>`, MAX]]);
     expect(opened(fieldless('s', [1, MAX + 1])).map(shown)).toEqual([['s', `<1x${MAX + 1} struct>`, 0]]);
+    // And the one rule every writer asks of it (MatlabVariableNode._unexpandedStruct: written as the
+    // bytes it was read from), on either side of the cap.
+    expect([opened(fieldless('s', [1, MAX]))[0]._unexpandedStruct(), opened(fieldless('s', [1, MAX + 1]))[0]._unexpandedStruct()]).toEqual([false, true]);
     // The size that ran the heap out, at top level, in a struct field and in a cell. Asked
     // last, so that a reader without the cap fails on the case above instead of here.
     const [s, t, c] = opened(fieldless('s', BIG), structVar('t', ['f'], [{ f: fieldless('', BIG) }]), cellVar('c', [fieldless('', BIG)]));
@@ -557,10 +560,11 @@ describe('a MAT struct array with no fields, past the row cap', () => {
   });
   // Add Child gives a struct one `field` row of its own, and past the cap that row held the
   // only copy of the edit: the save, which writes such an array from the bytes it was read
-  // from, dropped it. So it is refused, as a sparse array's is. Up to the cap it is offered as
-  // before.
+  // from, dropped it. So it is refused, as a sparse array's is. In a .mat it is refused up to the
+  // cap as well: the row Add makes is an element of no fields, which its save does not write
+  // (MatNode._editRefusal).
   it('takes no Add Child past the cap, where the save would drop the row it adds', () => {
-    expect(opened(fieldless('s', [1, MAX]))[0].canAddChild()).toBe(true);
+    expect(opened(fieldless('s', [1, MAX]))[0].canAddChild()).toBe(false);
     for (const d of [[1, MAX + 1], BIG]) {
       const [s] = opened(fieldless('s', d));
       expect([s.canAddChild(), s.execAddChild(), s.children.length], String(d)).toEqual([false, null, 0]);
@@ -761,9 +765,11 @@ describe('a MAT 1x1 struct with a field slot that is not a matrix', () => {
     const mat = opened('s.mat', before, damaged, after);
     const [b, s, a] = mat.children;
     expect([s.name, s.displayValue, s.children.length]).toEqual(['s', '<1x1 struct>', 2]);
+    // The field beside it takes no edit either: a save writes the struct fresh, or not at all, and
+    // has nothing to write the field it did not decode from (MatNode._editRefusal).
     expect(s.children.map(row)).toEqual([
       ['a', '<unknown, not decoded>', 'unknown', 0, false],
-      ['b', '2', 'double', 0, true],
+      ['b', '2', 'double', 0, false],
     ]);
     expect(mat.warnings).toEqual([{ code: 'part-unreadable', message: `"s.a" was not decoded: ${reason}.`, part: 's.a' }]);
     // Nothing to write it from: its copy, and the struct's, are refused at it, naming it. The field
diff --git a/test/mcosShortValues.test.ts b/test/mcosShortValues.test.ts
index 328c0b6d..0974117a 100644
--- a/test/mcosShortValues.test.ts
+++ b/test/mcosShortValues.test.ts
@@ -125,6 +125,9 @@ function slotsOpened(d: number[], first: number[], second = secondCellTag()): {
   const holder = src.children.find((x: any) => x.name === 'holder');
   return { c: holder.children.find((x: any) => x.name === 'C'), warnings: src.warnings ?? [] };
 }
+// In a .mat every row under an object takes no edit, a slot read as well as one that was not: its
+// save writes the object only as it was read (MatNode._editRefusal). What tells the two apart is
+// their values, and the copy of the one not decoded, which is refused (copyRefused).
 const slotRows = (c: any) => c.children.map((e: any) => [e.displayName, e.displayValue, e.valueEditable]);
 // What a host meets copying the slot: the refusal of a value that was not decoded (F1-10), naming it.
 function copyRefused(node: any): unknown[] {
@@ -142,23 +145,24 @@ describe('a cell slot under a decoded object that could not be read', () => {
   // the node layer built as the double 0: holder.C showed `{0, [3+4i 5+6i]}`, editable, said nothing,
   // and a copy of the slot was the 0. At the top of a .mat the same cell says it holds one cell of
   // its two (MatParser.collectUndecoded). Under an object it now says so in those words, and the slot
-  // shows as not decoded (theme 1: show what was read), with no editor and a refused copy.
+  // shows as not decoded (theme 1: show what was read), with no editor and a refused copy. (No row
+  // under the object takes an edit in a .mat, whose save writes the object as it was read.)
   it('one that is not a matrix: shown as not decoded, in its own place, and counted as not read', () => {
     const { c, warnings } = slotsOpened([1, 2], firstCell(2));
     expect(warnings).toEqual([cellsSaid('holder.C', 2, 1)]);
-    expect(slotRows(c)).toEqual([['C{1}', '<unknown, not decoded>', false], ['C{2}', '[3+4i 5+6i]', true]]);
+    expect(slotRows(c)).toEqual([['C{1}', '<unknown, not decoded>', false], ['C{2}', '[3+4i 5+6i]', false]]);
     expect(c.displayValue).toBe('{<unknown, not decoded>, [3+4i 5+6i]}');
     expect(copyRefused(c.children[0])).toEqual(refusedAs('a 1x1 unknown'));
     // The second slot, the first read: nothing slides into the hole.
     const second = slotsOpened([1, 2], firstCell(), secondCellTag(2));
     expect(second.warnings).toEqual([cellsSaid('holder.C', 2, 1)]);
-    expect(slotRows(second.c)).toEqual([['C{1}', '1+2i', true], ['C{2}', '<unknown, not decoded>', false]]);
+    expect(slotRows(second.c)).toEqual([['C{1}', '1+2i', false], ['C{2}', '<unknown, not decoded>', false]]);
   });
 
   it('one of a class the reader does not model: the same, under the class the file names', () => {
     const { c, warnings } = slotsOpened([1, 2], firstCell(14, 99));
     expect(warnings).toEqual([cellsSaid('holder.C', 2, 1)]);
-    expect(slotRows(c)).toEqual([['C{1}', '<1x1 unknown, not decoded>', false], ['C{2}', '[3+4i 5+6i]', true]]);
+    expect(slotRows(c)).toEqual([['C{1}', '<1x1 unknown, not decoded>', false], ['C{2}', '[3+4i 5+6i]', false]]);
     expect(copyRefused(c.children[0])).toEqual(refusedAs('a 1x1 unknown', 'its MAT array class is not one this reader models'));
   });
 
@@ -166,20 +170,20 @@ describe('a cell slot under a decoded object that could not be read', () => {
     const { c, warnings } = slotsOpened([1, 2], firstCell(14, 6, [1, 100_000_000]));
     const why = 'declares 100000000 elements, more than the 32 bytes left in it can hold';
     expect(warnings).toEqual([{ code: 'part-unreadable', message: `"holder.C{1}" was not decoded: ${why}.`, part: 'holder.C{1}' }]);
-    expect(slotRows(c)).toEqual([['C{1}', '<1x100000000 double, not decoded>', false], ['C{2}', '[3+4i 5+6i]', true]]);
+    expect(slotRows(c)).toEqual([['C{1}', '<1x100000000 double, not decoded>', false], ['C{2}', '[3+4i 5+6i]', false]]);
     expect(copyRefused(c.children[0])).toEqual(refusedAs('a 1x100000000 double', why));
   });
 
   it('in a cell that also holds fewer cells than it declares: one warning, counting both', () => {
     const { c, warnings } = slotsOpened([1, 3], firstCell(2));
     expect(warnings).toEqual([cellsSaid('holder.C', 3, 1)]);
-    expect(slotRows(c)).toEqual([['C{1}', '<unknown, not decoded>', false], ['C{2}', '[3+4i 5+6i]', true]]);
+    expect(slotRows(c)).toEqual([['C{1}', '<unknown, not decoded>', false], ['C{2}', '[3+4i 5+6i]', false]]);
   });
 
   it('control: the respelling is the identity on the pristine bytes, and the slots read', () => {
     const { c, warnings } = slotsOpened([1, 2], firstCell());
     expect(warnings).toEqual([]);
-    expect(slotRows(c)).toEqual([['C{1}', '1+2i', true], ['C{2}', '[3+4i 5+6i]', true]]);
+    expect(slotRows(c)).toEqual([['C{1}', '1+2i', false], ['C{2}', '[3+4i 5+6i]', false]]);
   });
 });
 
diff --git a/test/moduleBoundaries.test.ts b/test/moduleBoundaries.test.ts
index 42bc2581..5ee1019c 100644
--- a/test/moduleBoundaries.test.ts
+++ b/test/moduleBoundaries.test.ts
@@ -161,8 +161,8 @@ describe('the seams that are already clean stay clean', () => {
     expect(describeEdges(outboundFrom('datamodel/display'))).toEqual([]);
   });
 
-  it('keeps datamodel/parser/ reaching for nothing but blockIdentity and fileKinds', () => {
-    // TWO allowed modules, and both are the same kind of thing: a table of rules about
+  it('keeps datamodel/parser/ reaching for nothing but blockIdentity, fileKinds and matlabName', () => {
+    // THREE allowed modules, and all are the same kind of thing: a table of rules about
     // names that the parsers share with code outside this folder.
     //
     // `datamodel/blockIdentity.ts` came first — `MdlParser` and `SlxParser` both have
@@ -174,19 +174,23 @@ describe('the seams that are already clean stay clean', () => {
     // `endsWith('.sldd')` that disagreed on case — is that a rule like that lives in one
     // place. Re-spelling `'matlab.toml'` inside the parser folder to keep this test at
     // one allowed module would be the exact defect that module was written to end.
+    // `datamodel/matlabName.ts` was added with the MAT-file writer (MatFileWriter), which
+    // writes variable names into a file: the rule for a name MATLAB can load is the one a
+    // rename and a new entry are held to, and a second spelling of it here could let a
+    // save write a name no edit could have made.
     //
-    // Both widen the seam by nothing measurable: neither imports anything at all, so
+    // All three widen the seam by nothing measurable: none imports anything at all, so
     // each travels alone. And this adds no folder-level edge — `datamodel/parser ->
     // datamodel` already exists, via `blockIdentity`.
-    const allowed = ['datamodel/blockIdentity.ts', 'datamodel/fileKinds.ts'];
+    const allowed = ['datamodel/blockIdentity.ts', 'datamodel/fileKinds.ts', 'datamodel/matlabName.ts'];
     const strays = outboundFrom('datamodel/parser').filter((e) => !allowed.includes(e.to));
     expect(describeEdges(strays)).toEqual([]);
     // Not a count of them — a check that each exemption is still USED, so the test
     // cannot start passing because the seam quietly stopped existing. Per module, not in
-    // total: one of the two going unreached is exactly how an allowance outlives the
+    // total: one of them going unreached is exactly how an allowance outlives the
     // reason for it.
     const reached = new Set(outboundFrom('datamodel/parser').map((e) => e.to));
-    expect([...reached].sort(), 'and both allowed modules are still reached').toEqual(allowed);
+    expect([...reached].sort(), 'and every allowed module is still reached').toEqual(allowed);
   });
 });
 
diff --git a/test/parity/matlab/README.md b/test/parity/matlab/README.md
index eb8e0c69..3493f334 100644
--- a/test/parity/matlab/README.md
+++ b/test/parity/matlab/README.md
@@ -127,12 +127,14 @@ directory, because `Simulink.data.dictionary.open` rejects a relative one with
 | `probe_non_data_params.m` | which FREE-TEXT block parameters never name data, however much their values look like variables? | `tempdir` (one child model, deleted) | — |
 | `probe_writeback.mjs` + `.m` | **the acceptance gate for the TEXT dictionary**: does MATLAB read back the JSON `_value` our writer emits? | `$PROBE_OUT` | — |
 | `probe_writeback_bin.mjs` + `.m` | **the acceptance gate for the BINARY dictionary**: does MATLAB read back the XML chunk our writer emits? (defects 27-30) | `$PROBE_OUT` | — |
+| `probe_mat_writeback.mjs` + `.m` | **the acceptance gate for the `.mat` save**: does MATLAB `load` what `session.serializeSource` writes for a MAT-file, as the edit the session made, with no warning? See [The MAT-file gate](#the-mat-file-gate) | `$PROBE_OUT` | — |
 | `probe_parameter_value.m` | which values does a `Simulink.Parameter` refuse as its `Value`, at the top level and as a field of a struct Value, and with which message? And which structural edits inside it (removing or adding a field or an array element) leave a Value it refuses? (C-160, C-042, A2: core mirrors the answers at edit time) | `$PARAM_VALUE_OUT` or `tempdir/paramvalue` | `parameter_value_truth.json` (written by `27.1.0.3400455 (R2027a) Prerelease`) |
 | `probe_parameter_shape.m` + `parameter_shape.mjs` | what are a `Simulink.Parameter`'s Dimensions and Complexity after each edit of its Value that core makes (an element removed or added, an element set, a Value typed in) on `../../fixtures/mcos/complex_binary.sldd`'s pRow, pCol, pInt16Row, pScalar and pStruct, and what does MATLAB read of core's saves of the same edits? They are the Value's size and complexity, except that a symbolic Dimensions is kept, an empty Value keeps both, and a struct Value keeps its Complexity; MATLAB refuses a numeric Dimensions or a Complexity set by hand. MAKE (`PARAM_SHAPE_MAKE=1`) saves a copy of the fixture with pRow's Dimensions `'[1,N]'` and records how its chunk spells that (`symbolicDimensionsTag`), which `parameter_shape.mjs` puts into its own copy of the fixture (MATLAB's save is not kept: it respells every entry and names the user who saved it); READ opens the `core_*.sldd` in `$PARAM_SHAPE_OUT`. Core's edit for each row is `parameter_shape.steps.json`. Graded by `../../parameterShape.test.ts` (B-25). Ends `PARAMETER_SHAPE OK` | `$PARAM_SHAPE_OUT` or `tempdir/paramshape` | `parameter_shape.truth.json` (here), written by `27.1.0.3409468 (R2027a) Prerelease` |
 | `probe_save_readbacks.m` + `save_readbacks.mjs` | does MATLAB reopen what core SAVES as what it was: a config set regenerated and pasted into text (M1, D15), enumeration values and empty ones (M2), an emptied and a new bus and the two spellings older saves gave one (M3)? The `.mjs` makes the saves through core's API; graded by `../readbacks.truth.test.ts`. M1 needs two corpus files (`DEX_READBACKS_CORPUS`). Ends `SAVE_READBACKS OK` | `$SAVE_READBACKS_OUT` | `save_readbacks.truth.json` (here), written by `27.1.0.3409468 (R2027a) Prerelease` |
 | `probe_m9_merged_reopen.m` + `m9_merged_saves.mjs` | does MATLAB reopen S2's merged saves of a binary dictionary (an edited entry saved as its bytes, with only what the edit changed written from the model) and read every entry as it should (M9)? In every compressed-binary fixture under `test/fixtures` and `test/parity/artifacts`, and in a copy of each as an earlier core save left it (1x1 cells spelled `Dimension="1*1"`, so that the merge differs from writing the entry whole), one entry of each kind is renamed, has its Description set, and where it is cheap a bus element's Description or a struct field edited, each through `session.editProperty` and saved by `serializeSource` into a file of its own. MATLAB opens each save and a copy of its original: every unedited entry must read as in the original (class, `isequaln`, `fullsig`), the edited one as the original with the same edit made in MATLAB, with no error or warning. Opens only the copies and the saves in `$M9_OUT`; graded by `../m9MergedSaves.truth.test.ts`. Ends `M9_MERGED_REOPEN OK` | `$M9_OUT` | `m9_merged_saves.truth.json` (here), written by `27.1.0.3409468 (R2027a) Prerelease` |
 | `probe_old_saves_readback.m` + `old_saves.mjs` | what does MATLAB read of a binary dictionary core saved before two of its fixes, and of what core copies now from a binary dictionary into a text one (M4, M7, D15)? `../oldsaves/` holds untouched saves, by core built at `50549bd^`, `69664b0^` and `90caf06^`, of every binary fixture holding a dynamic property or a struct entry of no element, and of `old_saves_r2027a_binary.sldd` (`make_old_saves_r2027a.m`: an AUTOSAR config set, a config set holding an `SSC.SimscapeCC`, a `dexdata.DerivedSignal` beside a `Simulink.Signal`, and empty structs of five shapes); the `.mjs` makes them once per build (`save`), and the pastes into the text twin with this checkout (`cases`). MATLAB opens each save and paste and a copy of its original: every entry as in the original, each dynamic property by `get_param`, each empty struct's shape. Opens only the files in `$OLD_SAVES_OUT`; graded by `../oldSaves.truth.test.ts`. Ends `OLD_SAVES_READBACK OK` | `$OLD_SAVES_OUT` | `old_saves_readback.truth.json` (here), written by `27.1.0.3409468 (R2027a) Prerelease` |
 | `probe_fieldless_struct_readback.m` + `fieldless_struct_readback.mjs` | does MATLAB read back core's one-stream spelling of a field-less `repmat(struct(),1e4,1e4)` (a 132-byte cdata in text, a 72-byte hex stream in binary), as an entry, a struct field and a cell's element, where its own spelling is 1e8 elements? (F1-9; graded by `../../fieldlessStructReadback.test.ts`). Ends `FIELDLESS_STRUCT_READBACK OK` | `$FIELDLESS_OUT` | `fieldless_struct_readback.truth.json` (here), from `../../fixtures/mcos/fieldless_1e4x1e4.mat` (MATLAB's `save`), written by `27.1.0.3409468 (R2027a) Prerelease` |
+| `probe_empty_copies_readback.m` + `empty_copies_readback.mjs` | does MATLAB read back core's copy of a struct array of no element with fields (`struct('a', {})`, 0x0 and 1x0) and of a complex empty (double 0x0 and 1x0, int16 and single 1x0), dispcat.mat's own, pasted into a text and a binary dictionary as an entry, a struct field and a cell's element, as read and once marked edited, as `load` reads the variable? Yes for all 72: field names, size, class and complexity kept (a text dictionary's bag `{"_elements": [], "_fields": ["a"]}` and a complex empty's MAT stream; a binary one's `<Field Name="a"/>` and `IsComplex="1"`, MATLAB's own spelling). Graded by `../../emptyCopiesReadback.test.ts`. Opens only the files the `.mjs` writes. Ends `EMPTY_COPIES_READBACK OK` | `$EMPTY_COPIES_OUT` | `empty_copies_readback.truth.json` (here), written by `27.1.0.3409468 (R2027a) Prerelease` |
 | `probe_nd_undecoded_copy_readback.m` + `nd_undecoded_copy_readback.mjs` | does MATLAB read back, as `load` reads the `.mat` variable, the MAT stream a 1x1x2 cell or struct holding a sparse array core did not decode (values absent, of no width, or 2 of 4) used to copy as, pasted into a text and a binary dictionary? Not for a struct whose member's values are absent (a 1x0 double in text, an error in binary), so the copy stays refused (B-11; graded by `../../undecodedCopy.test.ts`). Opens only the files the `.mjs` writes. Ends `ND_UNDECODED_COPY_READBACK OK` | `$ND_UNDECODED_OUT` | `nd_undecoded_copy_readback.truth.json` (here), written by `27.1.0.3409468 (R2027a) Prerelease` |
 | `probe_short_array_copy_readback.m` + `short_array_copy_readback.mjs` | does MATLAB read back, as the padded value core shows, the copy of a `.mat` struct array or cell whose bytes hold fewer elements than it declares (some held, none held, rank 2 and N-D, a struct cut inside an element; one holding every element as the control), pasted into a text and a binary dictionary? Yes for each holding some, and for an N-D one holding none; not for a rank-2 struct array holding none (a struct with no fields), nor a rank-2 cell holding none in a binary dictionary (a 0x0 cell), so those copies are refused (B-26; graded by `../../shortArrayCopy.test.ts`). `load` refuses every damaged file. Opens only the files the `.mjs` writes. Ends `SHORT_ARRAY_COPY_READBACK OK` | `$SHORT_COPY_OUT` | `short_array_copy_readback.truth.json` (here), written by `27.1.0.3409468 (R2027a) Prerelease` |
 | `probe_text_empty_readback.m` | how does MATLAB read back a classed or shaped EMPTY out of a text dictionary, at an entry, a cell, a struct field, a Parameter's Value and an object's property, in each candidate spelling; and how does it spell one there itself? (1A-TEXT, CELL-EMPTIES-87, D8; graded by `test/textEmptyReadback.test.ts`). Ends `TEXT_EMPTY_READBACK OK` | `$TEXT_EMPTY_OUT` or `tempdir/textempty` | `text_empty_readback.truth.json` (here) and `../../fixtures/text_empty_readback_binary.sldd`, written by `27.1.0.3409468 (R2027a) Prerelease` |
@@ -266,6 +268,71 @@ Both gates need every node in the subtree marked modified, not just the root:
 `_markModified` walks UP the chain and an unmodified node replays its `_rawInput`, so
 marking a container leaves the writer untested on every field and element beneath it.
 
+### The MAT-file gate
+
+`probe_mat_writeback.mjs` opens MATLAB's own `.mat` files through the session API, as a host
+does, makes each case's edits there (`editProperty`, `deleteNodeById`, `addChildTo`, an added
+variable, `undo`), saves with `session.serializeSource`, and writes into the manifest beside
+each saved file **the same edit as MATLAB statements** on a struct `S` loaded from the original
+(`S.kp = 7;`, `S.mat2x3(1,2) = 99;`, `S = renameStructField(S, 'kp', 'kpRenamed');`,
+`S = rmfield(S, 'infP');`, `S.var = 0;`). After each edit it checks that the node shows what
+the statements make of it, so the two halves describe one edit. `probe_mat_writeback.m` then
+loads the original, makes the edit in MATLAB, loads the save, and compares:
+
+- the same variables in the same order (load's, and `whos -file`'s class, size and global flag
+  of each, the globals renamed and deleted as the statements do, and the globals a `load` inside
+  a function declares);
+- each variable to the leaf: class, size, sparsity, complexity, `isequaln` on every value and
+  the bits of every double and single (the sign of a zero, which `isequaln` does not see; a
+  NaN's payload apart),
+  field names in order, every element of a cell or a struct array, every readable property
+  of an object, a function handle's text and an anonymous one's workspace, and handle
+  sharing (one object held twice is still one object);
+- no warning and nothing printed by `load`, except a warning the original gives itself, word
+  for word (`dispcat_opaque.mat` holds an anonymous handle made in a file that no longer
+  exists);
+- a save with no edit is the original, byte for byte, and one of a `-v6` file holds no
+  compressed record (both also asserted by the JS half, with the strict checker);
+- MATLAB's own re-save of what it loaded loads the same, with no warning.
+
+```bash
+npm run build
+env PROBE_OUT=/tmp/matwb node test/parity/matlab/probe_mat_writeback.mjs
+env PROBE_OUT=/tmp/matwb mw -using Bmain matlab -nodesktop \
+    -batch "run('$PWD/test/parity/matlab/probe_mat_writeback.m')"
+```
+
+Its last line is `PROBE_MAT_WRITEBACK DONE pass=N fail=M`, with one
+`RESULT <id> PASS|FAIL <why>` per case before it. `fail=0` is the only acceptable result.
+The fixtures are `cases.mat`, `dispcat.mat`, `dispcat_opaque.mat` (function handles,
+enumerations, `fi`, `categorical`, `table`), `nested_objects.mat`, `strings.mat`,
+`strings_mixed.mat`, `sparse_values.mat`, `sparse_cases.mat`, `complex_inf.mat` (no subsystem),
+`dag4.mat` (a handle DAG), the two `-v6` files `nested_handles.mat` and `hexobj_values.mat`,
+`global_v7.mat` and `global_v6.mat` (variables MATLAB saved as global, beside one it did not;
+`../../fixtures/global/make_global_fixtures.m`), and two files the JS half assembles: one of `dispcat.mat`'s own elements, an empty complex array and
+an empty struct array with a field held in a struct and a cell beside a value to edit; and one
+built by hand as MATLAB writes each part, of what no fixture holds: a struct of no element with two
+fields in a cell, `complex(zeros(0,3,'single'))` alone and in a struct, empty structs with a field
+in each element of a struct array, a variable saved as global, and a complex row whose zero parts
+are -0, each beside a value to edit. The MATLAB
+half puts the classes those need on the path (`../../fixtures/display`, `../../fixtures/sparse`,
+`../../fixtures/mcos/shared`, and `DispColor` by `Simulink.defineIntEnumType`).
+
+Thirteen cases are **negative controls**: MATLAB's half makes one change more than the save does
+(a value, a class, complexity, a Parameter's `Value` and its `CoderInfo.StorageClass`, a
+string, the variables' order, a struct's field order, handle sharing, an anonymous handle's
+text, an enumeration member, a `categorical`, a complex zero's -0 parts made +0), and each
+passes only when the comparison reports that difference. They are what makes a PASS mean the
+comparison looked.
+
+`matWriteback.live.test.ts` runs both halves (Tier 2, below). `matWritebackDefects.test.ts`
+holds, without MATLAB, the two losses the first run found, fixed: a complex empty written fresh
+loaded real, and an empty struct array written fresh loaded with no field, which an edit of a
+field or a cell member beside it was enough to cause. Neither was visible to core, whose reader
+carried the same loss; `../../matFreshFidelity.test.ts` now holds every plain variable of every
+fixture, written fresh, to the file's own element, read by a walker of its own
+(`../../tools/matElements.ts`).
+
 ## The catalog
 
 77 names, in `gen_truth.m`'s `C` (73) and `OBJARR` (4), landing in `truth.json`
@@ -858,7 +925,8 @@ catches a value written back in its truncated display form.
 
 **Tier 2 — live MATLAB, dev-only, never in CI.** `writeback.live.test.ts` (edit
 -> serialize -> MATLAB reopens -> assert value, `size()` and `class()`, for both
-`.sldd` formats), `drift.mjs`, and the older per-node assertions in
+`.sldd` formats), `matWriteback.live.test.ts` (the same for a `.mat`, through
+[the MAT-file gate](#the-mat-file-gate)), `drift.mjs`, and the older per-node assertions in
 `test/parity/fidelity/*` and `test/fidelitySmoke.test.ts`. A fixture cannot stand
 in for any of them: proving MATLAB reads what *we* wrote requires MATLAB.
 
diff --git a/test/parity/matlab/empty_copies_readback.mjs b/test/parity/matlab/empty_copies_readback.mjs
new file mode 100644
index 00000000..96ebc9e7
--- /dev/null
+++ b/test/parity/matlab/empty_copies_readback.mjs
@@ -0,0 +1,130 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// The core half of probe_empty_copies_readback.m: does MATLAB read back, as `load` reads the .mat
+// variable, a copy of a struct array of no element with fields, and of a complex empty, pasted
+// through core's API into a text and a binary dictionary, as an entry's value, a struct field and
+// a cell's element?
+//
+// The values are MATLAB's own, dispcat.mat's: struct('a', {}) as a 0x0 and a 1x0, and
+// complex(zeros(0,0)), complex(zeros(1,0)), a complex int16 1x0 and a complex single 1x0. Each is
+// copied as a host copies it (serialize().value), as read and once marked edited (the mark an
+// edit and its undo leave, which writes the value from its rows). Core spells them:
+//   - in a binary dictionary, as MATLAB's own binary dictionary of the same variables does
+//     (dispcat_bin.sldd): `<Field Name="a"/>` inside a struct of no element, `IsComplex="1"` on
+//     an empty;
+//   - in a text dictionary, where MATLAB's own spelling of each loses it (`{"_type": "struct",
+//     "_value": "[]"}`, `[]`; dispcat_text.sldd), a struct of no element as the bag
+//     `{"_elements": [], "_fields": ["a"]}` and a complex empty as its MAT stream (cdata).
+//
+// emptyCopiesReadback(core, read) returns { files, cases }: the saved dictionaries by name, and
+// one row per place, its `fragment` the value as written there (a text dictionary's JSON, a binary
+// one's `<P …>` or `<Element …>` span). test/emptyCopiesReadback.test.ts calls it with the
+// package's source and compares each fragment with the one MATLAB read back.
+//
+// Run: node test/parity/matlab/empty_copies_readback.mjs /tmp/emptycopies
+// with dist built; then probe_empty_copies_readback.m with EMPTY_COPIES_OUT set to the same directory.
+import { strFromU8, unzipSync } from 'fflate';
+
+const ab = (u8) => u8.buffer.slice(u8.byteOffset, u8.byteOffset + u8.byteLength);
+export const HOSTS = ['sparse/sparse_text.sldd', 'sparse/sparse_binary.sldd'];
+export const VARIABLES = ['dx_struct_0x0_fields', 'dx_struct_1x0', 'dx_complex_0x0', 'dx_complex_1x0', 'dx_complex_int16_1x0', 'e_single_complex_1x0'];
+export const PLACES = ['entry', 'field', 'cell'];
+
+/** The `<P …>` or `<Element …>` starting at `from` in `xml`, through its close (or its own `/>`). */
+function spanFrom(xml, from) {
+  const tag = xml.startsWith('<Element', from) ? 'Element' : 'P';
+  const end = xml.indexOf('>', from);
+  if (xml[end - 1] === '/') {
+    return xml.slice(from, end + 1);
+  }
+  const close = '</' + tag + '>';
+  return xml.slice(from, xml.indexOf(close, from) + close.length).replace(/\s+/g, ' ');
+}
+
+/** The value at `place` of the entry named `name` in a saved dictionary. */
+function fragmentAt(saved, name, place) {
+  if (saved.kind === 'text') {
+    const entries = JSON.parse(saved.text).__MW_TEXT_PARTS__['__MW_TEXT_PART__/data/chunk0'].__MW_TEXT_content.entries;
+    const value = entries.find((e) => e.name === name).value;
+    return JSON.stringify(place === 'entry' ? value : place === 'field' ? value._elements[0].f : value._elements[0]);
+  }
+  const xml = strFromU8(unzipSync(saved.bytes)['data/chunk0.xml']);
+  const at = xml.indexOf('<P Name="Name" Class="char">' + name + '</P>');
+  const value = xml.indexOf('<P Name="Value"', at);
+  if (place === 'entry') {
+    return spanFrom(xml, value);
+  }
+  return spanFrom(xml, xml.indexOf(place === 'field' ? '<P Name="f"' : '<Element', value + 1));
+}
+
+/** `core` is { createSession, ingest }; `read(rel)` the bytes of a test fixture. */
+export function emptyCopiesReadback(core, read) {
+  const { createSession, ingest } = core;
+  const copyOf = (name, edited) => {
+    const mat = createSession().addMatSource('dispcat.mat', ab(read('display/dispcat.mat')));
+    const node = mat.children.find((c) => c.name === name);
+    if (edited) {
+      node._markModified();
+    }
+    return JSON.parse(JSON.stringify(node.serialize().value));
+  };
+  const files = {};
+  const cases = [];
+  HOSTS.forEach((host, h) => {
+    const base = host.split('/').pop();
+    const s = createSession();
+    const root = ingest(s, ab(read(host)), { filename: base });
+    const design = root.getSection('design');
+    let k = 0;
+    // The section's own metadata, as a host's paste gives it: an entry with no namespace makes a
+    // dictionary MATLAB refuses to open at all.
+    const meta = () => ({ ...design.children[0].metadata, uuid: '00000000-0000-4000-e9fa-' + String(h * 100 + ++k).padStart(12, '0') });
+    const rows = [];
+    VARIABLES.forEach((variable, v) => {
+      for (const edited of [false, true]) {
+        const value = copyOf(variable, edited);
+        for (const place of PLACES) {
+          const entry = 'e' + v + (edited ? 'm' : 'u') + place[0];
+          const held =
+            place === 'entry'
+              ? value
+              : place === 'field'
+                ? { _array_type: 'Struct', _dimensions: [1, 1], _elements: [{ f: value }], _mw_element_type: 'MATLABArray' }
+                : { _array_type: 'Cell', _dimensions: [1, 1], _elements: [value], _mw_element_type: 'MATLABArray' };
+          design.parseEntry({ name: entry, metadata: meta(), value: held });
+          rows.push({ variable, edited, place, entry });
+        }
+      }
+    });
+    const saved = s.serializeSource(root.name);
+    const file = 'empty_copies_' + base;
+    files[file] = saved.kind === 'text' ? saved.text : saved.bytes;
+    for (const row of rows) {
+      cases.push({ file, format: saved.kind, ...row, fragment: fragmentAt(saved, row.entry, row.place) });
+    }
+  });
+  return { files, cases };
+}
+
+// As a script: the saves, dispcat.mat (the values MATLAB compares them with) and cases.json into a
+// directory, from the built package.
+if (process.argv[1] && import.meta.url === new URL('file://' + process.argv[1]).href) {
+  const { mkdirSync, readFileSync, writeFileSync } = await import('node:fs');
+  const { join } = await import('node:path');
+  const { fileURLToPath } = await import('node:url');
+  const [outDir] = process.argv.slice(2);
+  if (!outDir) {
+    throw new Error('usage: node empty_copies_readback.mjs <out dir>');
+  }
+  const here = fileURLToPath(new URL('.', import.meta.url));
+  const core = await import(join(here, '..', '..', '..', 'dist', 'index.js'));
+  const read = (rel) => new Uint8Array(readFileSync(join(here, '..', '..', 'fixtures', rel)));
+  const { files, cases } = emptyCopiesReadback(core, read);
+  mkdirSync(outDir, { recursive: true });
+  for (const [name, bytes] of Object.entries(files)) {
+    writeFileSync(join(outDir, name), bytes);
+  }
+  writeFileSync(join(outDir, 'dispcat.mat'), read('display/dispcat.mat'));
+  writeFileSync(join(outDir, 'cases.json'), JSON.stringify(cases, null, 2) + '\n');
+  console.log('wrote', Object.keys(files).length, 'saves and', cases.length, 'cases to', outDir);
+}
diff --git a/test/parity/matlab/empty_copies_readback.truth.json b/test/parity/matlab/empty_copies_readback.truth.json
new file mode 100644
index 00000000..d0de1968
--- /dev/null
+++ b/test/parity/matlab/empty_copies_readback.truth.json
@@ -0,0 +1,2047 @@
+{
+  "version": "27.1.0.3409468 (R2027a) Prerelease",
+  "release": "2027a",
+  "date": "2026-10-20",
+  "cases": [
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_0x0_fields",
+      "edited": false,
+      "place": "entry",
+      "entry": "e0ue",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[0,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      }
+    },
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_0x0_fields",
+      "edited": false,
+      "place": "field",
+      "entry": "e0uf",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[0,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      }
+    },
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_0x0_fields",
+      "edited": false,
+      "place": "cell",
+      "entry": "e0uc",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[0,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      }
+    },
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_0x0_fields",
+      "edited": true,
+      "place": "entry",
+      "entry": "e0me",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[0,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      }
+    },
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_0x0_fields",
+      "edited": true,
+      "place": "field",
+      "entry": "e0mf",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[0,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      }
+    },
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_0x0_fields",
+      "edited": true,
+      "place": "cell",
+      "entry": "e0mc",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[0,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
+        "size": [
+          0,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      }
+    },
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_1x0",
+      "edited": false,
+      "place": "entry",
+      "entry": "e1ue",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[1,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      }
+    },
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_1x0",
+      "edited": false,
+      "place": "field",
+      "entry": "e1uf",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[1,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      }
+    },
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_1x0",
+      "edited": false,
+      "place": "cell",
+      "entry": "e1uc",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[1,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      }
+    },
+    {
+      "file": "empty_copies_sparse_text.sldd",
+      "format": "text",
+      "variable": "dx_struct_1x0",
+      "edited": true,
+      "place": "entry",
+      "entry": "e1me",
+      "fragment": "{\"_array_type\":\"Struct\",\"_dimensions\":[1,0],\"_elements\":[],\"_fields\":[\"a\"],\"_mw_element_type\":\"MATLABArray\"}",
+      "matlab": {
+        "class": "struct",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": [
+          "a"
+        ]
+      },
+      "loaded": {
+        "class": "struct",
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+      "matlab": {
+        "class": "single",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": []
+      },
+      "loaded": {
+        "class": "single",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": []
+      }
+    },
+    {
+      "file": "empty_copies_sparse_binary.sldd",
+      "format": "binary",
+      "variable": "e_single_complex_1x0",
+      "edited": true,
+      "place": "cell",
+      "entry": "e5mc",
+      "fragment": "<Element Class=\"single\" IsComplex=\"1\" Dimension=\"1*0\"/>",
+      "matlab": {
+        "class": "single",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": []
+      },
+      "loaded": {
+        "class": "single",
+        "size": [
+          1,
+          0
+        ],
+        "isreal": false,
+        "fields": []
+      }
+    }
+  ]
+}
diff --git a/test/parity/matlab/matWriteback.live.test.ts b/test/parity/matlab/matWriteback.live.test.ts
new file mode 100644
index 00000000..3c6816cd
--- /dev/null
+++ b/test/parity/matlab/matWriteback.live.test.ts
@@ -0,0 +1,71 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// The MAT-file save, loaded by MATLAB: probe_mat_writeback.mjs opens MATLAB's own `.mat` files
+// through the session, edits them as a host does (values, elements, fields, cell members,
+// reshapes, class changes, renames and deletes of plain variables, objects, strings and
+// function handles, added variables and fields, several at once, `-v6` files), saves each with
+// session.serializeSource, and writes the same edit as MATLAB statements beside it;
+// probe_mat_writeback.m loads each original, makes the edit in MATLAB, loads the save, and
+// compares the two to the leaf, with no warning allowed and MATLAB's own re-save of the save
+// loading the same. Twelve of the cases are negative controls, which pass only when the
+// comparison reports a difference planted in MATLAB's half. See the two scripts.
+//
+// Tier 2: skipped wholesale when DEX_MATLAB_CMD is unset, as writeback.live.test.ts is, so CI
+// and external contributors stay green. Set it to the launcher plus its fixed args, and
+// DEX_MATLAB_CWD to where the launcher must run from:
+//   env DEX_MATLAB_CMD="mw -using Bmain matlab" npx vitest run test/parity/matlab/matWriteback.live.test.ts
+//
+// The JS half reads the BUILT package (dist/), so build first: a stale dist/ is a stale verdict.
+import { describe, it, expect, beforeAll } from 'vitest';
+import { execFileSync } from 'node:child_process';
+import { existsSync, mkdtempSync, readFileSync } from 'node:fs';
+import { tmpdir } from 'node:os';
+import { join } from 'node:path';
+import { fileURLToPath } from 'node:url';
+import { matlabAvailable } from '../fidelity/roundTripHarness.js';
+
+const HERE = fileURLToPath(new URL('.', import.meta.url));
+
+// One launch for every case. A cold launch has taken up to 10 minutes on a network sandbox
+// (writeback.live.test.ts measured 276s on one), and the cases take about a minute more.
+const MATLAB_TIMEOUT = 900_000;
+
+describe('live MAT-file write-back', () => {
+  if (!matlabAvailable()) {
+    it.skip('DEX_MATLAB_CMD unset — live gate skipped', () => {});
+    return;
+  }
+
+  let manifest: Array<{ id: string; js: string; refused: string }> = [];
+  let out = '';
+  beforeAll(() => {
+    // A directory of its own under /tmp: the MATLAB half cds there before it writes anything.
+    const dir = mkdtempSync(join(existsSync('/tmp') ? '/tmp' : tmpdir(), 'dex-matwb-'));
+    execFileSync(process.execPath, [join(HERE, 'probe_mat_writeback.mjs')], {
+      env: { ...process.env, PROBE_OUT: dir },
+      encoding: 'utf8',
+    });
+    manifest = JSON.parse(readFileSync(join(dir, 'manifest.json'), 'utf8'));
+    const [bin, ...args] = (process.env.DEX_MATLAB_CMD as string).split(' ');
+    out = execFileSync(bin, [...args, '-nodesktop', '-batch', `PROBE_OUT='${dir}'; run('${join(HERE, 'probe_mat_writeback.m')}')`], {
+      cwd: process.env.DEX_MATLAB_CWD || undefined,
+      env: { ...process.env, PROBE_OUT: dir },
+      encoding: 'utf8',
+      maxBuffer: 64 * 1024 * 1024,
+      timeout: MATLAB_TIMEOUT,
+    });
+  }, MATLAB_TIMEOUT);
+
+  it('core saves every case, and each save passes the JS half', () => {
+    expect(manifest.length).toBeGreaterThanOrEqual(90);
+    expect(manifest.filter((r) => r.js || r.refused).map((r) => [r.id, r.js || r.refused])).toEqual([]);
+  });
+
+  it('MATLAB loads every save as the session edited it, with no warning', () => {
+    const results = [...out.matchAll(/^RESULT (\S+) (PASS|FAIL)(.*)$/gm)];
+    // One verdict per case, in order: a case the MATLAB half never reached is not a pass.
+    expect(results.map((m) => m[1])).toEqual(manifest.map((r) => r.id));
+    expect(results.filter((m) => m[2] === 'FAIL').map((m) => m[1] + m[3])).toEqual([]);
+    expect(out).toContain(`PROBE_MAT_WRITEBACK DONE pass=${manifest.length} fail=0`);
+  });
+});
diff --git a/test/parity/matlab/matWritebackDefects.test.ts b/test/parity/matlab/matWritebackDefects.test.ts
new file mode 100644
index 00000000..904385bf
--- /dev/null
+++ b/test/parity/matlab/matWritebackDefects.test.ts
@@ -0,0 +1,147 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// Two losses of the MAT-file save that the live gate (probe_mat_writeback.{mjs,m}) found, held
+// here without MATLAB, fixed. Neither was visible to core: its reader carried neither thing
+// either, so the save's own re-parse (MatFileWriter's self-check) agreed with what it wrote, and
+// the strict checker broke no load rule. Only MATLAB, loading the save beside the original, read
+// a different value. test/matFreshFidelity.test.ts now holds every variable of every fixture to
+// the file's own element, by a walker that does not use the package's reader.
+//
+// Measured against MATLAB R2027a (27.1.0.3409468), before the fix:
+//   A. complex(zeros(0,0)) and the other complex empties of dispcat.mat, written fresh, loaded
+//      real: isreal was true where the original's is false. The node rebuilt its variable from
+//      its elements, and an empty has none to be complex (MatlabVariableNode._isComplexValue).
+//   B. a 0x0 or 1x0 struct array with a field `a`, written fresh, loaded with no field:
+//      fieldnames was {} where the original's is {'a'}. The reader held `fields: {}` for a
+//      struct array of no element (MatParser), and a struct field or a cell member edited
+//      beside one wrote it fresh, so an ordinary edit lost the names.
+// Each test asks for MATLAB's own element: what the save writes for each is the element MATLAB
+// wrote, byte for byte but for the storage type of an empty double's two parts (MATLAB's
+// miUINT8, MatWriter's miDOUBLE, which MATLAB loads as the same complex empty: the gate's
+// sibling cases).
+import { describe, it, expect } from 'vitest';
+import { readFileSync } from 'node:fs';
+import { unzlibSync } from 'fflate';
+import { parseMat } from '../../../src/datamodel/parser/MatParser.js';
+import { createSession } from '../../../src/index.js';
+import { CLASS, matFile, numericVar, structVar } from '../../tools/matBytes.js';
+
+const arrayBufferOf = (bytes: Uint8Array) => bytes.buffer.slice(bytes.byteOffset, bytes.byteOffset + bytes.byteLength) as ArrayBuffer;
+const DISPCAT = arrayBufferOf(new Uint8Array(readFileSync(new URL('../../fixtures/display/dispcat.mat', import.meta.url))));
+
+/** The miMATRIX element (tag and body) of the top-level variable `name`, inflated. */
+function elementOf(file: Uint8Array | ArrayBuffer, name: string): Uint8Array {
+  const rec = parseMat(file instanceof Uint8Array ? arrayBufferOf(file) : file).records.find((r) => r.name === name)!;
+  const view = new DataView(rec.bytes.buffer, rec.bytes.byteOffset, rec.bytes.byteLength);
+  return view.getUint32(0, true) === 15 ? unzlibSync(rec.bytes.subarray(8, 8 + view.getUint32(4, true))) : rec.bytes;
+}
+
+/** The sub-elements of an miMATRIX element, in order: each one's type and data. */
+function subElementsOf(el: Uint8Array): { type: number; data: Uint8Array }[] {
+  const view = new DataView(el.buffer, el.byteOffset, el.byteLength);
+  const out: { type: number; data: Uint8Array }[] = [];
+  const end = 8 + view.getUint32(4, true);
+  for (let at = 8; at < end; ) {
+    const word = view.getUint32(at, true);
+    if (word >>> 16) {
+      out.push({ type: word & 0xffff, data: el.subarray(at + 4, at + 4 + (word >>> 16)) });
+      at += 8;
+    } else {
+      const n = view.getUint32(at + 4, true);
+      out.push({ type: word, data: el.subarray(at + 8, at + 8 + n) });
+      at += 8 + Math.ceil(n / 8) * 8;
+    }
+  }
+  return out;
+}
+
+/** A struct element's field names, read from its own field-name table. */
+function fieldNamesOf(el: Uint8Array): string[] {
+  const [, , , length, names] = subElementsOf(el);
+  const len = new DataView(length.data.buffer, length.data.byteOffset, 4).getInt32(0, true);
+  const out: string[] = [];
+  for (let at = 0; at < names.data.byteLength; at += len) {
+    out.push(new TextDecoder().decode(names.data.subarray(at, at + len)).replace(/\0+$/, ''));
+  }
+  return out;
+}
+
+/** The element of a struct's `index`th field (of its first element), with its own tag. */
+function fieldElement(structElement: Uint8Array, index: number): Uint8Array {
+  const { type, data } = subElementsOf(structElement)[5 + index];
+  expect(type).toBe(14);
+  const out = new Uint8Array(8 + data.byteLength);
+  out.set(new Uint8Array(new Uint32Array([14, data.byteLength]).buffer));
+  out.set(data, 8);
+  return out;
+}
+
+/** An element's complex bit: byte 1 of its array-flags data. */
+const complexOf = (el: Uint8Array) => (subElementsOf(el)[0].data[1] & 0x08) !== 0;
+
+describe('the losses of the MAT-file save the live gate found, fixed', () => {
+  it('A: a complex empty, its node marked edited, is written complex', () => {
+    const session = createSession();
+    const root: any = session.addMatSource('dispcat.mat', DISPCAT);
+    const names = ['dx_complex_0x0', 'dx_complex_1x0', 'dx_complex_int16_1x0', 'e_single_complex_1x0'];
+    // The state an edit leaves a node in (DataNode._valueEdited, MatlabVariableNode's stale
+    // _var), which MatFileWriter writes fresh.
+    for (const name of names) {
+      const node = root.children.find((c: any) => c.name === name);
+      expect(complexOf(elementOf(DISPCAT, name)), name).toBe(true);
+      node._markModified();
+      expect([name, node._var.isComplex, node._classColumn()]).toEqual([name, true, expect.stringContaining('(complex)')]);
+    }
+    const saved = (session.serializeSource('dispcat.mat') as { bytes: Uint8Array }).bytes;
+    for (const name of names) {
+      // Its class, flags, dims and name as MATLAB wrote them, and its two parts, empty.
+      const [was, is] = [subElementsOf(elementOf(DISPCAT, name)), subElementsOf(elementOf(saved, name))];
+      expect(is.slice(0, 3), name).toEqual(was.slice(0, 3));
+      expect(is.slice(3).map((p) => p.data.byteLength), name).toEqual([0, 0]);
+      expect(complexOf(elementOf(saved, name)), name).toBe(true);
+    }
+    // The int16 and the single ones are MATLAB's bytes exactly: MATLAB stores their parts in their
+    // own class's type, as MatWriter does.
+    for (const name of ['dx_complex_int16_1x0', 'e_single_complex_1x0']) {
+      expect(elementOf(saved, name), name).toEqual(elementOf(DISPCAT, name));
+    }
+  });
+
+  it("B: an empty struct array with a field, written fresh, keeps its field names, as MATLAB's own element has them", () => {
+    // Written fresh itself: MATLAB's own element, byte for byte.
+    const session = createSession();
+    const root: any = session.addMatSource('dispcat.mat', DISPCAT);
+    for (const name of ['dx_struct_0x0_fields', 'dx_struct_1x0']) {
+      root.children.find((c: any) => c.name === name)._markModified();
+    }
+    const fresh = (session.serializeSource('dispcat.mat') as { bytes: Uint8Array }).bytes;
+    for (const name of ['dx_struct_0x0_fields', 'dx_struct_1x0']) {
+      expect(fieldNamesOf(elementOf(DISPCAT, name)), name).toEqual(['a']);
+      expect(elementOf(fresh, name), name).toEqual(elementOf(DISPCAT, name));
+    }
+
+    // And written fresh beside an edited field, as the gate's sibling_struct_field case writes it.
+    const empty = structVar('', ['inner'], [], [0, 0]);
+    const x = numericVar({ name: '', cls: CLASS.DOUBLE, dimensions: [1, 1], real: [1] });
+    const file = matFile([structVar('s', ['es', 'x'], [{ es: empty, x }])]);
+    const edited = createSession();
+    const top: any = edited.addMatSource('f.mat', file);
+    const field = top.children[0].children.find((c: any) => c.name === 'x');
+    edited.setActive(top, field);
+    expect(edited.editProperty(field.id, 'Value', '2')).toBe(true);
+    const saved = (edited.serializeSource('f.mat') as { bytes: Uint8Array }).bytes;
+
+    // es as the file holds it, and as the save writes it: a 0x0 struct with the field `inner`
+    // both times.
+    const esOf = (file_: Uint8Array | ArrayBuffer) => {
+      const s = elementOf(file_, 's');
+      expect(fieldNamesOf(s)).toEqual(['es', 'x']);
+      return fieldElement(s, 0);
+    };
+    expect([fieldNamesOf(esOf(file)), subElementsOf(esOf(file))[1].data]).toEqual([['inner'], new Uint8Array(8)]);
+    expect([fieldNamesOf(esOf(saved)), subElementsOf(esOf(saved))[1].data]).toEqual([['inner'], new Uint8Array(8)]);
+    // And the reader reads the names back, as it reads them out of the file.
+    const es = parseMat(arrayBufferOf(saved)).variables[0].fields!.es as { fields: Record<string, unknown> };
+    expect(Object.keys(es.fields)).toEqual(['inner']);
+  });
+});
diff --git a/test/parity/matlab/probe_empty_copies_readback.m b/test/parity/matlab/probe_empty_copies_readback.m
new file mode 100644
index 00000000..8aa71bf2
--- /dev/null
+++ b/test/parity/matlab/probe_empty_copies_readback.m
@@ -0,0 +1,65 @@
+% Copyright 2026 The MathWorks, Inc.
+%
+% Does MATLAB read back core's copy of a struct array of no element with fields, and of a complex
+% empty, pasted into a text and a binary dictionary, as `load` reads the .mat variable it was
+% copied from? The values are dispcat.mat's: struct('a', {}) as a 0x0 and a 1x0, and
+% complex(zeros(0,0)), complex(zeros(1,0)), a complex int16 1x0 and a complex single 1x0. The
+% saves are core's, made by empty_copies_readback.mjs beside this file, each value as an entry's
+% value, a struct field and a cell's element, copied as read and once marked edited:
+%
+%   node test/parity/matlab/empty_copies_readback.mjs /tmp/emptycopies
+%   env EMPTY_COPIES_OUT=/tmp/emptycopies mw -using Bmain matlab -nodesktop \
+%        -batch "run('$PWD/test/parity/matlab/probe_empty_copies_readback.m')"
+%   cp /tmp/emptycopies/empty_copies_readback.truth.json test/parity/matlab/
+%
+% Prints EMPTY_COPIES_READBACK OK on its last line. Output: empty_copies_readback.truth.json,
+% {version, release, date, cases}: each row of cases.json, as it was, with `matlab`, what MATLAB
+% read at that place, {class, size, isreal, fields}, or {error}, and `loaded`, the same of the
+% variable `load` reads from dispcat.mat. test/emptyCopiesReadback.test.ts reads it.
+%
+% Opens only the files in EMPTY_COPIES_OUT, and writes nothing else there.
+
+outdir = getenv('EMPTY_COPIES_OUT');
+if isempty(outdir) && exist('EMPTY_COPIES_OUT', 'var'), outdir = EMPTY_COPIES_OUT; end %#ok<NODEF>
+if isempty(outdir), error('set EMPTY_COPIES_OUT to the directory empty_copies_readback.mjs wrote'); end
+cd(outdir);
+Simulink.data.dictionary.closeAll('-discard');
+fprintf('VERSION %s\n', version);
+S = load(fullfile(outdir, 'dispcat.mat'));
+cases = jsondecode(fileread(fullfile(outdir, 'cases.json')));
+if isstruct(cases), cases = num2cell(cases); end
+for i = 1:numel(cases)
+  c = cases{i};
+  try
+    dd = Simulink.data.dictionary.open(fullfile(outdir, c.file));
+    v = getValue(getEntry(getSection(dd, 'Design Data'), c.entry));
+    switch c.place
+      case 'field', v = v.f;
+      case 'cell',  v = v{1};
+    end
+    m = shapeOf(v);
+    close(dd);
+  catch e
+    m = struct('error', strrep(e.message, newline, ' '));
+  end
+  Simulink.data.dictionary.closeAll('-discard');
+  c.matlab = m;
+  c.loaded = shapeOf(S.(c.variable));
+  cases{i} = c;
+  fprintf('%-32s %-6s %-22s %s\n', c.file, c.place, c.variable, jsonencode(m));
+end
+truth = struct('version', version, 'release', version('-release'), 'date', char(datetime('now', 'Format', 'yyyy-MM-dd')), 'cases', {cases});
+fid = fopen(fullfile(outdir, 'empty_copies_readback.truth.json'), 'w', 'n', 'UTF-8');
+fprintf(fid, '%s\n', jsonencode(truth, 'PrettyPrint', true));
+fclose(fid);
+fprintf('EMPTY_COPIES_READBACK OK\n');
+
+% A value's class, size, complexity, and its field names (none for anything but a struct), each
+% as a list so that JSON keeps one of one as a list.
+function m = shapeOf(v)
+fields = {};
+if isstruct(v)
+  fields = fieldnames(v)';
+end
+m = struct('class', class(v), 'size', size(v), 'isreal', isreal(v), 'fields', {fields});
+end
diff --git a/test/parity/matlab/probe_mat_writeback.m b/test/parity/matlab/probe_mat_writeback.m
new file mode 100644
index 00000000..c38b67dd
--- /dev/null
+++ b/test/parity/matlab/probe_mat_writeback.m
@@ -0,0 +1,563 @@
+% Copyright 2026 The MathWorks, Inc.
+%
+% The MATLAB half of the MAT-file save gate: load every file probe_mat_writeback.mjs saved
+% through the session, and compare it, to the leaf, with the original loaded and edited by
+% MATLAB itself.
+%
+% Run the JS half first, with the SAME absolute PROBE_OUT (and `npm run build` before it:
+% the JS half reads dist/, so a stale build is a stale verdict):
+%   env PROBE_OUT=/tmp/matwb node test/parity/matlab/probe_mat_writeback.mjs
+%   env PROBE_OUT=/tmp/matwb mw -using Bmain matlab -nodesktop \
+%       -batch "run('$PWD/test/parity/matlab/probe_mat_writeback.m')"
+% PROBE_OUT may instead be set as a variable before the run: "PROBE_OUT='/tmp/matwb'; run(...)".
+%
+% For each case of the manifest:
+%   1. S0 = load(original), which must load with no warning and print nothing: a class the
+%      fixtures need and this MATLAB lacks would otherwise read as our failure;
+%   2. S  = load(original) with the case's MATLAB statements applied, which must differ from
+%      S0 for a case that edits and equal it for one that does not;
+%   3. T  = load(saved), which must load with no warning and print nothing;
+%   4. T must be S: the same variables in the same order (load's, and whos -file's class,
+%      size and global flag of each), and each variable the same to the leaf (dcmp below: class,
+%      size, sparsity, complexity, isequaln on every value and the bits of every double and
+%      single but a NaN's payload, field names in order, every element of
+%      a cell or struct array, every readable property of an object, a function handle's text
+%      and an anonymous one's workspace), and its handles shared as S's are (the same object
+%      held twice is still one object);
+%   5. a save with no edit is the original, byte for byte;
+%   6. T saved again by MATLAB loads as T, with no warning.
+% A case whose `expect` is 'control' is a NEGATIVE control: its statements make one change
+% more than the save does, and it passes only when step 4 reports it (`differs`).
+%
+% Prints `RESULT <id> PASS` or `RESULT <id> FAIL <why>` per case, and last
+% `PROBE_MAT_WRITEBACK DONE pass=N fail=M`. fail=0 is the only acceptable result: a FAIL here
+% means MATLAB loads something other than what the session showed, or loads it with a warning.
+if exist('PROBE_OUT', 'var') && ~isempty(PROBE_OUT) %#ok<NODEF>
+    outdir = PROBE_OUT;
+else
+    outdir = getenv('PROBE_OUT');
+end
+if isempty(outdir) || outdir(1) ~= '/'
+    error('PROBE_OUT is not set to an ABSOLUTE path. It must be the one the .mjs half wrote to.');
+end
+here = fileparts(mfilename('fullpath'));
+fixtures = fullfile(here, '..', '..', 'fixtures');
+% Everything this script writes (MATLAB's re-saves) goes to outdir, a temp directory, never
+% to the folder MATLAB was launched from.
+cd(outdir);
+warning('off', 'backtrace');
+
+% The classes the fixtures hold that MATLAB does not ship: the display enumerations, the
+% dexsparse classes of hexobj_values.mat, and the DagNode of dag4.mat.
+addpath(fullfile(fixtures, 'display'));
+addpath(fullfile(fixtures, 'sparse'));
+addpath(fullfile(fixtures, 'mcos', 'shared'));
+try
+    % As probe_display.m defines it for dispcat_opaque.mat.
+    Simulink.defineIntEnumType('DispColor', {'Red', 'Green', 'Blue'}, [1 2 3]);
+catch err
+    fprintf('ENV DispColor: %s\n', err.message);
+end
+
+fprintf('VERSION %s\n', version);
+m = jsondecode(fileread(fullfile(outdir, 'manifest.json')));
+if iscell(m)
+    m = [m{:}];
+end
+npass = 0;
+nfail = 0;
+for k = 1:numel(m)
+    e = m(k);
+    fprintf('CASE %s: %s\n', e.id, e.why);
+    try
+        why = runCase(e, outdir);
+    catch err
+        why = {sprintf('the probe itself threw: %s (%s)', err.message, err.identifier)};
+    end
+    if isempty(why)
+        fprintf('RESULT %s PASS\n', e.id);
+        npass = npass + 1;
+    else
+        if numel(why) > 12
+            why = [why(1:12), {sprintf('... and %d more', numel(why) - 12)}];
+        end
+        fprintf('RESULT %s FAIL %s\n', e.id, strjoin(why, ' | '));
+        nfail = nfail + 1;
+    end
+end
+fprintf('PROBE_MAT_WRITEBACK DONE pass=%d fail=%d\n', npass, nfail);
+
+% ---- one case ------------------------------------------------------------------------
+function why = runCase(e, outdir)
+why = {};
+if ~isempty(e.js)
+    why{end + 1} = ['the JS half: ' e.js];
+end
+if ~isempty(e.refused)
+    why{end + 1} = ['core refused the save: ' e.refused];
+end
+if isempty(e.saved)
+    return
+end
+
+[S0, w0, err0] = loadQuietly(e.original);
+if ~isempty(err0)
+    why{end + 1} = ['the ORIGINAL does not load here, so nothing can be judged: ' err0];
+    return
+end
+if ~isempty(w0)
+    % A warning the original gives itself is the fixture's, not the save's: dispcat_opaque.mat
+    % holds an anonymous handle made in a file that no longer exists, and every load of it
+    % says so. A save of it may give that warning again, word for word, and nothing else.
+    fprintf('  INFO the original warns: %s\n', w0);
+end
+
+S = load(e.original);
+stmts = e.statements;
+if ischar(stmts)
+    stmts = {stmts};
+elseif isempty(stmts)
+    stmts = {};
+end
+for i = 1:numel(stmts)
+    eval(stmts{i});
+end
+edited = cmpVars(S0, S);
+edits = any(strcmp(e.expect, {'changed', 'control'}));
+if edits && isempty(edited)
+    why{end + 1} = 'the MATLAB statements change nothing, so a PASS would be vacuous';
+elseif ~edits && ~isempty(edited)
+    why{end + 1} = ['the MATLAB statements change what this case says is unchanged: ' strjoin(edited, '; ')];
+end
+
+[T, wT, errT] = loadQuietly(e.saved);
+if ~isempty(errT)
+    why{end + 1} = ['load fails: ' errT];
+    return
+end
+if ~isempty(wT) && ~strcmp(wT, w0)
+    why{end + 1} = ['load warns: ' wT];
+end
+
+diffs = cmpVars(S, T);
+if strcmp(e.expect, 'control')
+    % A negative control: S holds one change the save does not, and the comparison must say
+    % so, in so many words.
+    if ~contains(strjoin(diffs, ' | '), e.differs)
+        why{end + 1} = sprintf('the control''s planted difference "%s" was not reported; got: %s', e.differs, strjoin(diffs, ' | '));
+    else
+        fprintf('  CONTROL saw %s\n', strjoin(diffs, ' | '));
+    end
+else
+    why = [why, diffs];
+end
+
+% whos -file, which reads the file's own record of each variable without loading it.
+w = whos('-file', e.saved);
+wn = {w.name};
+tn = fieldnames(T);
+if ~isequal(sort(wn(:)), sort(tn(:)))
+    why{end + 1} = sprintf('whos -file lists [%s], load gives [%s]', strjoin(wn, ','), strjoin(tn', ','));
+else
+    for i = 1:numel(w)
+        v = T.(w(i).name);
+        if ~strcmp(w(i).class, class(v)) || ~isequal(w(i).size, size(v))
+            why{end + 1} = sprintf('whos -file says %s is %s %s, load gives %s %s', w(i).name, ...
+                w(i).class, mat2str(w(i).size), class(v), mat2str(size(v))); %#ok<AGROW>
+        end
+    end
+end
+% And global as the original's variables were, renamed and deleted as the statements rename and
+% delete them: `save` marks a variable declared global, which is the variable's and not its
+% value's, so load's struct does not show it. Asked of whos -file, and of what a `load` inside a
+% function declares global.
+wo = whos('-file', e.original);
+row = @(c) reshape(sort(c), 1, []);
+expected = row({wo([wo.global]).name});
+if ~isempty(expected) || any([w.global])
+    for i = 1:numel(stmts)
+        r = regexp(stmts{i}, 'renameStructField\(S, ''(\w+)'', ''(\w+)''\)', 'tokens', 'once');
+        if ~isempty(r)
+            expected(strcmp(expected, r{1})) = r(2);
+        end
+        r = regexp(stmts{i}, 'rmfield\(S, ''(\w+)''\)', 'tokens', 'once');
+        if ~isempty(r)
+            expected(strcmp(expected, r{1})) = [];
+        end
+    end
+    expected = row(expected);
+    said = row({w([w.global]).name});
+    if ~isequal(said, expected)
+        why{end + 1} = sprintf('whos -file says [%s] are global, where [%s] should be', strjoin(said, ','), strjoin(expected, ','));
+    end
+    declared = globalsLoaded(e.saved);
+    if ~isequal(declared, expected)
+        why{end + 1} = sprintf('load inside a function declares [%s] global, where [%s] should be', strjoin(declared, ','), strjoin(expected, ','));
+    end
+end
+
+if strcmp(e.expect, 'identical') && ~isequal(bytesOf(e.original), bytesOf(e.saved))
+    why{end + 1} = 'a save with no edit is not the original, byte for byte';
+end
+
+% MATLAB's own save of what it loaded, loaded again.
+if ~isempty(fieldnames(T))
+    resaved = fullfile(outdir, ['resave_' e.id '.mat']);
+    lastwarn('');
+    txt = evalc('save(resaved, ''-struct'', ''T'');');
+    [ws, wsid] = lastwarn;
+    if ~isempty(ws) || ~isempty(strtrim(txt))
+        why{end + 1} = sprintf('MATLAB''s re-save warns: %s (%s) %s', ws, wsid, strtrim(txt));
+    end
+    [T2, w2, err2] = loadQuietly(resaved);
+    if ~isempty(err2) || (~isempty(w2) && ~strcmp(w2, w0))
+        why{end + 1} = ['MATLAB''s re-save does not load cleanly: ' err2 w2];
+    else
+        again = cmpVars(T, T2);
+        if ~isempty(again)
+            why{end + 1} = ['MATLAB''s re-save loads differently: ' strjoin(again, '; ')];
+        end
+    end
+end
+end
+
+% The variables a `load` inside a function declares global, sorted; the global workspace cleared
+% before and after, so that no case sees another's.
+function names = globalsLoaded(fileLoaded__)
+clear global
+evalc('load(fileLoaded__);');
+w__ = whos('global');
+names = reshape(sort({w__.name}), 1, []);
+clear global
+end
+
+% load, with what it warns or prints, and its error, instead of letting either escape.
+function [V, w, err] = loadQuietly(path)
+V = struct();
+w = '';
+err = '';
+lastwarn('');
+try
+    txt = evalc('V = load(path);');
+catch ex
+    err = sprintf('%s (%s)', ex.message, ex.identifier);
+    return
+end
+[msg, id] = lastwarn;
+if ~isempty(msg)
+    w = sprintf('%s (%s)', msg, id);
+end
+txt = strtrim(txt);
+if ~isempty(txt)
+    w = strtrim([w ' printed: ' txt]);
+end
+end
+
+function b = bytesOf(path)
+fid = fopen(path, 'r');
+b = fread(fid, Inf, '*uint8');
+fclose(fid);
+end
+
+% ---- the comparison --------------------------------------------------------------------
+% Two loaded files: the same variables, in the same order, each the same to the leaf, and
+% their handles shared alike.
+function d = cmpVars(A, B)
+d = {};
+na = fieldnames(A);
+nb = fieldnames(B);
+if ~isequal(na, nb)
+    d{end + 1} = sprintf('variables [%s] vs [%s]', strjoin(na', ','), strjoin(nb', ','));
+end
+common = intersect(na, nb, 'stable');
+for i = 1:numel(common)
+    d = [d, dcmp(A.(common{i}), B.(common{i}), common{i}, 0)]; %#ok<AGROW>
+end
+[ha, pa] = handlesOf(A);
+[hb, pb] = handlesOf(B);
+if ~isequal(pa, pb)
+    d{end + 1} = sprintf('handle sharing differs: %d handles reached vs %d', numel(pa), numel(pb));
+elseif ~isequal(aliasesOf(ha), aliasesOf(hb))
+    sa = aliasesOf(ha);
+    sb = aliasesOf(hb);
+    k = find(sa ~= sb, 1);
+    d{end + 1} = sprintf('handle sharing differs at %s: one object with #%d vs #%d', pa{k}, sa(k), sb(k));
+end
+end
+
+function d = dcmp(a, b, path, depth)
+d = {};
+if depth > 24
+    return
+end
+if ~strcmp(class(a), class(b))
+    d{end + 1} = sprintf('%s: class %s vs %s', path, class(a), class(b));
+    return
+end
+if ~isequal(size(a), size(b))
+    d{end + 1} = sprintf('%s: size %s vs %s', path, mat2str(size(a)), mat2str(size(b)));
+    return
+end
+if (isnumeric(a) || islogical(a)) && ~isobject(a)
+    if issparse(a) ~= issparse(b)
+        d{end + 1} = sprintf('%s: sparse %d vs %d', path, issparse(a), issparse(b));
+        return
+    end
+    if isreal(a) ~= isreal(b)
+        d{end + 1} = sprintf('%s: real %d vs %d', path, isreal(a), isreal(b));
+        return
+    end
+end
+if isstruct(a)
+    fa = fieldnames(a);
+    fb = fieldnames(b);
+    if ~isequal(fa, fb)
+        d{end + 1} = sprintf('%s: fields [%s] vs [%s]', path, strjoin(fa', ','), strjoin(fb', ','));
+        return
+    end
+    for i = 1:numel(a)
+        for j = 1:numel(fa)
+            d = [d, dcmp(a(i).(fa{j}), b(i).(fa{j}), sprintf('%s(%d).%s', path, i, fa{j}), depth + 1)]; %#ok<AGROW>
+        end
+    end
+elseif iscell(a)
+    for i = 1:numel(a)
+        d = [d, dcmp(a{i}, b{i}, sprintf('%s{%d}', path, i), depth + 1)]; %#ok<AGROW>
+    end
+elseif isa(a, 'function_handle')
+    if isempty(a)
+        return
+    end
+    if ~strcmp(func2str(a), func2str(b))
+        d{end + 1} = sprintf('%s: %s vs %s', path, func2str(a), func2str(b));
+        return
+    end
+    fa = functions(a);
+    fb = functions(b);
+    if isfield(fa, 'workspace') ~= isfield(fb, 'workspace')
+        d{end + 1} = sprintf('%s: a workspace on one side only', path);
+    elseif isfield(fa, 'workspace')
+        d = [d, dcmp(fa.workspace, fb.workspace, [path '<workspace>'], depth + 1)];
+    end
+elseif isenum(a)
+    if ~isequal(a, b)
+        d{end + 1} = sprintf('%s: %s vs %s', path, show(a), show(b));
+    end
+elseif isstring(a)
+    if ~isequaln(a, b)
+        d{end + 1} = sprintf('%s: %s vs %s', path, show(a), show(b));
+    end
+elseif isobject(a) || isa(a, 'handle')
+    % By its properties, each to the leaf. Not by isequaln, which is numeric (it finds a
+    % property retyped single equal to its double), and false between two loads of one file
+    % for a handle (its identity) and for a value object holding an anonymous function handle
+    % (hexobj_values.mat's FhAlias), however equal the contents.
+    [dd, gotone] = dprops(a, b, path, depth);
+    d = [d, dd];
+    if ~gotone
+        % Nothing readable (a categorical's properties are not public; a
+        % Simulink.VariantVariable's throw on get): a value object by isequaln after all, and
+        % either by its own display, as wbcompare.m does, so that it is not compared on its
+        % class and size alone.
+        if ~isa(a, 'handle') && ~isequaln(a, b)
+            d{end + 1} = sprintf('%s: isequaln false', path);
+        end
+        if builtin('numel', a) == 1
+            ta = displayOf(a);
+            tb = displayOf(b);
+            if ~strcmp(ta, tb)
+                d{end + 1} = sprintf('%s: displays %s vs %s', path, trunc(ta), trunc(tb));
+            end
+        end
+    end
+elseif ~isequaln(a, b)
+    d{end + 1} = sprintf('%s: %s vs %s', path, show(a), show(b));
+elseif (isa(a, 'double') || isa(a, 'single')) && ~issparse(a) && ~sameBits(a, b)
+    % isequaln holds -0 and 0 equal; the bits of a double or a single do not.
+    d{end + 1} = sprintf('%s: equal, but not bit for bit (the sign of a zero): %s vs %s', path, bitsShown(a), bitsShown(b));
+end
+end
+
+% Whether two doubles or singles of one size hold the same bits, part by part: the sign of a
+% zero included, a NaN's payload not (MATLAB's own NaN and the one a JavaScript writer stores
+% differ in it, and nothing MATLAB computes on a NaN reads it).
+function same = sameBits(a, b)
+cls = 'uint64';
+if isa(a, 'single')
+    cls = 'uint32';
+end
+same = true;
+parts = {@real, @imag};
+for i = 1:2
+    pa = parts{i}(a(:));
+    pb = parts{i}(b(:));
+    keep = ~isnan(pa) & ~isnan(pb);
+    if any(keep)
+        same = same && isequal(typecast(pa(keep), cls), typecast(pb(keep), cls));
+    end
+end
+end
+
+function s = bitsShown(v)
+s = mat2str(1 ./ [real(v(:)); imag(v(:))]');
+end
+
+% Every readable property of every element, and whether there was one. The elements are the
+% object's own, builtin('numel'): a table or a categorical is one object whatever size it
+% says it is, and t(i) is an error for a table.
+function [d, gotone] = dprops(a, b, path, depth)
+d = {};
+p = properties(a);
+gotone = false;
+n = builtin('numel', a);
+if builtin('numel', b) ~= n
+    d{end + 1} = sprintf('%s: %d objects vs %d', path, n, builtin('numel', b));
+    return
+end
+for i = 1:n
+    if n == 1
+        ai = a;
+        bi = b;
+    else
+        ai = a(i);
+        bi = b(i);
+    end
+    for j = 1:numel(p)
+        [va, ea] = getProp(ai, p{j});
+        [vb, eb] = getProp(bi, p{j});
+        where = sprintf('%s(%d).%s', path, i, p{j});
+        if ~strcmp(ea, eb)
+            d{end + 1} = sprintf('%s: get throws <%s> vs <%s>', where, ea, eb); %#ok<AGROW>
+        elseif isempty(ea)
+            gotone = true;
+            d = [d, dcmp(va, vb, where, depth + 1)]; %#ok<AGROW>
+        end
+    end
+end
+end
+
+function [v, eid] = getProp(o, name)
+v = [];
+eid = '';
+try
+    v = o.(name);
+catch ex
+    eid = ex.identifier;
+    if isempty(eid)
+        eid = ex.message;
+    end
+end
+end
+
+function s = displayOf(v)
+try
+    s = strtrim(regexprep(char(formattedDisplayText(v, 'SuppressMarkup', true)), '\s+', ' '));
+catch
+    s = '<no display>';
+end
+end
+
+% Every handle object reachable from the variables, in a fixed walk, with its path. A handle
+% met again is listed again but not walked again, so a DAG costs its size, not its paths.
+function [hs, ps] = handlesOf(V)
+hs = {};
+ps = {};
+names = fieldnames(V);
+for i = 1:numel(names)
+    [hs, ps] = walkHandles(V.(names{i}), names{i}, hs, ps, 0);
+end
+end
+
+function [hs, ps] = walkHandles(v, path, hs, ps, depth)
+if depth > 12 || numel(hs) >= 400
+    return
+end
+if isstruct(v)
+    fn = fieldnames(v);
+    for i = 1:numel(v)
+        for j = 1:numel(fn)
+            [hs, ps] = walkHandles(v(i).(fn{j}), sprintf('%s(%d).%s', path, i, fn{j}), hs, ps, depth + 1);
+        end
+    end
+elseif iscell(v)
+    for i = 1:numel(v)
+        [hs, ps] = walkHandles(v{i}, sprintf('%s{%d}', path, i), hs, ps, depth + 1);
+    end
+elseif isobject(v) && ~isstring(v) && ~isenum(v)
+    isHandle = isa(v, 'handle');
+    p = properties(v);
+    n = builtin('numel', v);
+    for i = 1:n
+        if n == 1
+            h = v;
+        else
+            h = v(i);
+        end
+        walk = true;
+        if isHandle
+            for k = 1:numel(hs)
+                if sameHandle(hs{k}, h)
+                    walk = false;
+                    break
+                end
+            end
+            hs{end + 1} = h; %#ok<AGROW>
+            ps{end + 1} = sprintf('%s(%d)', path, i); %#ok<AGROW>
+        end
+        if walk
+            for j = 1:numel(p)
+                [x, ex] = getProp(h, p{j});
+                if isempty(ex)
+                    [hs, ps] = walkHandles(x, sprintf('%s(%d).%s', path, i, p{j}), hs, ps, depth + 1);
+                end
+            end
+        end
+    end
+end
+end
+
+% For each handle, the number of the first earlier one that is the same object, or 0.
+function s = aliasesOf(hs)
+s = zeros(1, numel(hs));
+for k = 1:numel(hs)
+    for j = 1:k - 1
+        if sameHandle(hs{j}, hs{k})
+            s(k) = j;
+            break
+        end
+    end
+end
+end
+
+function tf = sameHandle(a, b)
+try
+    tf = strcmp(class(a), class(b)) && isequal(size(a), size(b)) && all(a == b, 'all');
+catch
+    tf = false;
+end
+end
+
+function s = show(v)
+try
+    if ischar(v)
+        s = ['''' reshape(v, 1, []) ''''];
+    elseif isstring(v)
+        s = ['"' char(strjoin(reshape(v, 1, []), '","')) '"'];
+    elseif isenum(v)
+        s = strjoin(arrayfun(@char, reshape(v, 1, []), 'UniformOutput', false), ',');
+    elseif isnumeric(v) || islogical(v)
+        s = mat2str(full(v), 17);
+    else
+        s = ['<' class(v) '>'];
+    end
+catch
+    s = ['<' class(v) '>'];
+end
+s = trunc(s);
+end
+
+function s = trunc(s)
+if numel(s) > 200
+    s = [s(1:200) sprintf(' ...(%d chars)', numel(s))];
+end
+end
diff --git a/test/parity/matlab/probe_mat_writeback.mjs b/test/parity/matlab/probe_mat_writeback.mjs
new file mode 100644
index 00000000..57919239
--- /dev/null
+++ b/test/parity/matlab/probe_mat_writeback.mjs
@@ -0,0 +1,1039 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// THE acceptance gate for the MAT-file save: does MATLAB `load` what
+// session.serializeSource writes for a `.mat`, as the edit the session made?
+//
+// test/matFileSave.test.ts reads every save back with core's own reader, and core's reader is
+// more lenient than MATLAB's: it opens files MATLAB refuses. The strict checker
+// (MatFileCheck) states the load rules MATLAB was measured to enforce, which is closer, but
+// still a model of MATLAB. Only MATLAB can say that a file it is handed loads, loads without a
+// warning, and loads as the values the session showed after its edit.
+//
+// So each case opens a fixture MATLAB wrote through the session API, as a host does, makes
+// its edits there (editProperty, deleteNodeById, addChildTo, an added variable, undo), saves
+// it with serializeSource, and records beside the saved file THE SAME EDIT as MATLAB
+// statements on a struct `S` loaded from the original (`S.kp = 7;`, `S.rowVec(2) = 99;`,
+// `S = renameStructField(S, 'negD', 'negD2');`, `S = rmfield(S, 'infP');`, `S.var = 0;`).
+// probe_mat_writeback.m loads the original, makes the edit in MATLAB, loads the save, and
+// compares the two to the leaf.
+//
+// Two halves, one manifest between them (PROBE_OUT must be the same ABSOLUTE path in each):
+//
+//   npm run build
+//   env PROBE_OUT=/tmp/matwb node test/parity/matlab/probe_mat_writeback.mjs
+//   env PROBE_OUT=/tmp/matwb mw -using Bmain matlab -nodesktop \
+//       -batch "run('$PWD/test/parity/matlab/probe_mat_writeback.m')"
+//
+// It reads the BUILT package, as probe_writeback.mjs does and for its reason, so a stale
+// `dist/` is a stale verdict. The fixtures are found from this file's own folder, so node can
+// be launched from anywhere.
+//
+// What this half asserts itself, before MATLAB is asked anything, and records in the
+// manifest as `js` (anything but '' fails the case in the MATLAB half too):
+//   - every edit the case makes is accepted, and leaves the node showing what the case's
+//     MATLAB statements make of it (`shows`), so the two halves describe one edit;
+//   - the save answers `{ kind: 'binary', sourceFormat: 'mat' }`;
+//   - a save with no edit is the file, byte for byte, and a save with one is not;
+//   - a save of a file that holds no compressed record (`-v6`) holds none either;
+//   - the strict checker finds no violation in the save that it does not find in the file.
+//
+// A save core refuses is written to the manifest as `refused`, with core's message, and
+// counts as a failure: every case here is an edit phase 1 claims to save.
+import { readFileSync, writeFileSync, mkdirSync, copyFileSync } from 'node:fs';
+import { fileURLToPath } from 'node:url';
+import { unzlibSync } from 'fflate';
+import { createSession } from '../../../dist/index.js';
+import { parseMat } from '../../../dist/datamodel/parser/MatParser.js';
+import { checkMatFile, violationsAdded } from '../../../dist/datamodel/parser/MatFileCheck.js';
+
+const REPO = fileURLToPath(new URL('../../../', import.meta.url));
+const OUT = process.env.PROBE_OUT || '/tmp/mat_writeback_probe';
+if (!OUT.startsWith('/')) {
+  throw new Error('PROBE_OUT must be an ABSOLUTE path, the same one the MATLAB half is given; got ' + OUT);
+}
+mkdirSync(OUT, { recursive: true });
+
+// The fixtures, each MATLAB's own `save`. Between them: every plain class and shape the
+// corpus has (cases, dispcat, sparse_values, complex_inf, sparse_cases), objects and strings
+// held in the subsystem (cases, nested_objects, strings_mixed, strings), function handles,
+// enumerations, fi, categorical and table (dispcat_opaque), a handle DAG of one object held
+// twice at every level (dag4), and two `-v6` files, which hold no compressed record
+// (nested_handles, hexobj_values). complex_inf and sparse_cases hold no subsystem.
+const CASES_MAT = 'test/parity/artifacts/mat/cases.mat';
+const DISPCAT = 'test/fixtures/display/dispcat.mat';
+const OPAQUE = 'test/fixtures/display/dispcat_opaque.mat';
+const NESTED = 'test/fixtures/mcos/nested_objects.mat';
+const STR_MIXED = 'test/fixtures/strings_mixed.mat';
+const STRINGS = 'test/fixtures/strings.mat';
+const SPARSE = 'test/fixtures/sparse/sparse_values.mat';
+const SPARSE_CASES = 'test/fixtures/sparse_cases.mat';
+const COMPLEX_INF = 'test/fixtures/complex_inf/complex_inf.mat';
+const DAG = 'test/fixtures/mcos/shared/dag4.mat';
+const V6_HANDLES = 'test/fixtures/display/nested_handles.mat';
+const V6_HEXOBJ = 'test/fixtures/sparse/hexobj_values.mat';
+// MATLAB's own `save` of variables declared global (gD, gS, gC, gI) beside one that is not
+// (plain), -v7 and -v6 (test/fixtures/global/make_global_fixtures.m).
+const GLOBAL_V7 = 'test/fixtures/global/global_v7.mat';
+const GLOBAL_V6 = 'test/fixtures/global/global_v6.mat';
+
+const LONG_NAME = 'a' + 'b'.repeat(61) + 'c'; // 63 characters, the longest name core writes
+
+const basename = (rel) => rel.slice(rel.lastIndexOf('/') + 1);
+const sameBytes = (a, b) => a.byteLength === b.byteLength && a.every((x, i) => x === b[i]);
+
+// A fixture is a path under the repo, or (CRAFTED below) one this half writes into OUT.
+const crafted = new Map();
+function bytesOf(rel) {
+  const u8 = crafted.get(rel) ?? new Uint8Array(readFileSync(REPO + rel));
+  return u8.buffer.slice(u8.byteOffset, u8.byteOffset + u8.byteLength);
+}
+
+// ---- one fixture this half assembles: MATLAB's own elements, held one level down ------
+//
+// No fixture MATLAB wrote holds an empty complex array or an empty struct array with fields
+// INSIDE a struct or a cell, beside a value a user can edit, which is what makes a save
+// write them fresh without touching them. dispcat.mat holds both at the top level. So this
+// takes MATLAB's own elements for `dx_complex_0x0` (complex(zeros(0,0))) and
+// `dx_struct_0x0_fields` (a 0x0 struct with a field `a`), drops their names, and puts them
+// in a struct `s` and a cell `c`, each beside the double 1, in a `-v6`-style file of plain
+// records. The MATLAB half loads it, as it does every original, before judging anything
+// saved from it.
+const u32 = (n) => new Uint8Array(new Uint32Array([n]).buffer);
+const concat = (parts) => {
+  const out = new Uint8Array(parts.reduce((n, p) => n + p.byteLength, 0));
+  let at = 0;
+  for (const p of parts) {
+    out.set(p, at);
+    at += p.byteLength;
+  }
+  return out;
+};
+const pad8 = (b) => concat([b, new Uint8Array((8 - (b.byteLength % 8)) % 8)]);
+const sub = (type, data) => pad8(concat([u32(type), u32(data.byteLength), data]));
+const EMPTY_NAME = sub(1, new Uint8Array(0));
+const miMatrix = (body) => concat([u32(14), u32(body.byteLength), body]);
+
+/** The element of `rec`, inflated when compressed: its miMATRIX tag and body. */
+function elementOf(rec) {
+  const dv = new DataView(rec.bytes.buffer, rec.bytes.byteOffset, rec.bytes.byteLength);
+  return dv.getUint32(0, true) === 15 ? unzlibSync(rec.bytes.subarray(8, 8 + dv.getUint32(4, true))) : rec.bytes.subarray(0, 8 + dv.getUint32(4, true));
+}
+
+/** `el` with its name sub-element (the third, after the flags and the dims) made empty. */
+function nameless(el) {
+  const dv = new DataView(el.buffer, el.byteOffset, el.byteLength);
+  const skip = (at) => {
+    const word = dv.getUint32(at, true);
+    return word >>> 16 ? at + 8 : at + 8 + Math.ceil(dv.getUint32(at + 4, true) / 8) * 8;
+  };
+  const nameAt = skip(skip(8));
+  return miMatrix(concat([el.subarray(8, nameAt), EMPTY_NAME, el.subarray(skip(nameAt), 8 + dv.getUint32(4, true))]));
+}
+
+const NAME = (n) => sub(1, new TextEncoder().encode(n));
+const FLAGS = (cls) => sub(6, concat([u32(cls), u32(0)]));
+const DIMS = (d) => sub(5, concat(d.map(u32)));
+const doubleScalar = (v) => miMatrix(concat([FLAGS(6), DIMS([1, 1]), EMPTY_NAME, sub(9, new Uint8Array(new Float64Array([v]).buffer))]));
+
+function structVar(name, fields) {
+  const len = 32;
+  const names = new Uint8Array(len * fields.length);
+  fields.forEach(([f], i) => names.set(new TextEncoder().encode(f), i * len));
+  return miMatrix(concat([FLAGS(2), DIMS([1, 1]), NAME(name), concat([u32(5 | (4 << 16)), u32(len)]), sub(1, names), ...fields.map(([, el]) => el)]));
+}
+const cellVar = (name, els) => miMatrix(concat([FLAGS(1), DIMS([1, els.length]), NAME(name), ...els]));
+
+function nestedEmpties() {
+  const dispcat = parseMat(bytesOf(DISPCAT));
+  const el = (n) => nameless(elementOf(dispcat.records.find((r) => r.name === n)));
+  const header = new Uint8Array(128).fill(0x20);
+  header.set(new TextEncoder().encode('MATLAB 5.0 MAT-file, assembled by probe_mat_writeback.mjs from the elements of dispcat.mat'));
+  header.set([0, 0, 0, 0, 0, 0, 0, 0, 0x00, 0x01, 0x49, 0x4d], 116);
+  return concat([
+    header,
+    structVar('s', [
+      ['ec', el('dx_complex_0x0')],
+      ['es', el('dx_struct_0x0_fields')],
+      ['x', doubleScalar(1)],
+    ]),
+    cellVar('c', [el('dx_complex_0x0'), el('dx_struct_0x0_fields'), doubleScalar(1)]),
+  ]);
+}
+const NESTED_EMPTIES = 'crafted/nested_empties.mat';
+
+// ---- and one of the shapes the fix of those two losses has to hold, byte by byte --------
+//
+// What no fixture MATLAB wrote holds, built by hand the way MATLAB writes each (a field-name
+// stride of 32, as MATLAB's own older saves have it; an empty part as an empty sub-element of
+// its class's type, as dispcat.mat's e_single_complex_1x0 has it):
+//   c2   a cell {struct('a', {}, 'b', {}), 1}: a struct of no element with two fields, beside a
+//        member to edit;
+//   z03  complex(zeros(0, 3, 'single')), and sz, a struct holding one beside a field to edit;
+//   sa   a 1x2 struct array whose elements each hold an empty struct with a field (a 0x0 and a
+//        1x0) beside a field to edit;
+//   g    a variable `save` marks global (bit 0x04 of its array flags), and h beside it, not;
+//   nz   [-3i, 1+2i, complex(-0, -0)], whose zero parts are -0 (MATLAB's `-3i` is complex(-0,
+//        -3)), beside an element to edit.
+const flagsOf = (cls, bits = 0) => sub(6, concat([u32(cls | (bits << 8)), u32(0)]));
+const emptyStruct = (dims, fields) => {
+  const len = 32;
+  const names = new Uint8Array(len * fields.length);
+  fields.forEach((f, i) => names.set(new TextEncoder().encode(f), i * len));
+  return miMatrix(concat([flagsOf(2), DIMS(dims), EMPTY_NAME, concat([u32(5 | (4 << 16)), u32(len)]), sub(1, names)]));
+};
+const singleComplexEmpty = (name) => miMatrix(concat([flagsOf(7, 0x08), DIMS([0, 3]), name ? NAME(name) : EMPTY_NAME, sub(7, new Uint8Array(0)), sub(7, new Uint8Array(0))]));
+const doubles = (values) => new Uint8Array(new Float64Array(values).buffer);
+function structArray(name, dims, fields, elements) {
+  const len = 32;
+  const names = new Uint8Array(len * fields.length);
+  fields.forEach((f, i) => names.set(new TextEncoder().encode(f), i * len));
+  return miMatrix(concat([flagsOf(2), DIMS(dims), NAME(name), concat([u32(5 | (4 << 16)), u32(len)]), sub(1, names), ...elements.flat()]));
+}
+function emptiesMore() {
+  const header = new Uint8Array(128).fill(0x20);
+  header.set(new TextEncoder().encode('MATLAB 5.0 MAT-file, assembled by probe_mat_writeback.mjs'));
+  header.set([0, 0, 0, 0, 0, 0, 0, 0, 0x00, 0x01, 0x49, 0x4d], 116);
+  return concat([
+    header,
+    cellVar('c2', [emptyStruct([0, 0], ['a', 'b']), doubleScalar(1)]),
+    singleComplexEmpty('z03'),
+    structVar('sz', [
+      ['z', singleComplexEmpty('')],
+      ['x', doubleScalar(1)],
+    ]),
+    structArray('sa', [1, 2], ['es', 'x'], [
+      [emptyStruct([0, 0], ['q']), doubleScalar(1)],
+      [emptyStruct([1, 0], ['q']), doubleScalar(2)],
+    ]),
+    miMatrix(concat([flagsOf(6, 0x04), DIMS([1, 2]), NAME('g'), sub(9, doubles([1, 2]))])),
+    miMatrix(concat([flagsOf(6), DIMS([1, 2]), NAME('h'), sub(9, doubles([3, 4]))])),
+    miMatrix(concat([flagsOf(6, 0x08), DIMS([1, 3]), NAME('nz'), sub(9, doubles([-0, 1, -0])), sub(9, doubles([-3, 2, -0]))])),
+  ]);
+}
+const EMPTIES_MORE = 'crafted/empties_more.mat';
+
+/**
+ * A fixture opened through the session, as a host opens one, and the edits a host makes on
+ * it. Each edit throws when the session refuses it, or when the node does not then show what
+ * the case says, so a case whose two halves describe different edits never reaches MATLAB.
+ */
+function opened(rel) {
+  const session = createSession();
+  const name = basename(rel);
+  const root = session.addMatSource(name, bytesOf(rel));
+  const notes = [];
+
+  // `labels`: the variable's name, then the displayName of each child down to the node, as
+  // the tree shows them (`'mat2x3', 'mat2x3(1,2)'`; `'struct1x3', 'struct1x3(2)', 'a'`).
+  const at = (...labels) => {
+    let node = root.children.find((c) => c.name === labels[0]);
+    for (const label of labels.slice(1)) {
+      node = node?.children?.find((c) => c.displayName === label);
+    }
+    if (!node) {
+      throw new Error('no node ' + labels.join(' > ') + ' in ' + name);
+    }
+    return node;
+  };
+  const accepted = (what, ok) => {
+    if (ok !== true) {
+      throw new Error(what + ' was refused: ' + JSON.stringify(ok));
+    }
+  };
+  const shows = (node, className, displayValue) => {
+    const got = [node.className, node.displayValue];
+    if (got[0] !== className || (displayValue !== undefined && got[1] !== displayValue)) {
+      throw new Error(
+        node.displayName + ' shows ' + JSON.stringify(got) + ', not ' + JSON.stringify([className, displayValue]),
+      );
+    }
+  };
+
+  return {
+    session,
+    root,
+    name,
+    notes,
+    at,
+    /** Set the Value of the node at `labels`; then it must show `className` (and `display`). */
+    set(labels, value, className, display) {
+      const node = at(...labels);
+      session.setActive(root, node);
+      accepted('Value ' + value + ' of ' + labels.join(' > '), session.editProperty(node.id, 'Value', value));
+      shows(node, className, display);
+      return node;
+    },
+    rename(from, to) {
+      const node = at(from);
+      session.setActive(root, node);
+      accepted('rename ' + from + ' -> ' + to, session.editProperty(node.id, 'Name', to));
+      if (node.name !== to) {
+        throw new Error('rename ' + from + ' -> ' + to + ' left the name ' + node.name);
+      }
+    },
+    remove(name_) {
+      const node = at(name_);
+      session.setActive(root, node);
+      accepted('delete ' + name_, session.deleteNodeById(node.id));
+    },
+    /** A struct field added to the struct at `labels`; it must be `field`, a double 0. */
+    addField(labels, field) {
+      const node = at(...labels);
+      session.setActive(root, node);
+      const added = session.addChildTo(node.id);
+      if (!added) {
+        throw new Error('addChildTo ' + labels.join(' > ') + ' was refused');
+      }
+      if (added.name !== field) {
+        throw new Error('the field added to ' + labels.join(' > ') + ' is ' + added.name + ', not ' + field);
+      }
+      shows(added, 'double', '0');
+    },
+    /**
+     * A variable added, as a host adds one: by session.addEntry where it answers for a
+     * MAT-file, else by MatNode.execAddEntry, which is all session.addEntry does for a
+     * dictionary's section. It must be `name`, a double 0, as the design says a new variable
+     * is.
+     */
+    add(name_) {
+      session.setActive(root, root);
+      let node = session.addEntry?.('', 'double', name_) ?? null;
+      if (node) {
+        notes.push('added by session.addEntry');
+      } else {
+        node = root.execAddEntry(undefined, name_).node;
+        notes.push('added by MatNode.execAddEntry (session.addEntry answered null)');
+      }
+      if (node.name !== name_) {
+        throw new Error('the variable added is ' + node.name + ', not ' + name_);
+      }
+      shows(node, 'double', '0');
+      return node;
+    },
+    undo() {
+      session.undo();
+    },
+    /**
+     * Every variable MatWriter can write as what it is, marked edited: the state an edit and
+     * its undo leave (DataNode._valueEdited), which writes the variable fresh, holding the
+     * value it was read as. This is the MATLAB half's question for the fresh encoder, value by
+     * value: every class, shape, empty and non-finite these fixtures hold, written by core.
+     */
+    freshAll() {
+      const plain = root.children.filter((n) => n._matWritable?.() === true && !root.recordOf(n)?.variable?.isOpaque);
+      if (plain.length === 0) {
+        throw new Error('no plain variable in ' + name);
+      }
+      plain.forEach((n) => n._markModified());
+      notes.push(plain.length + ' variables written fresh');
+    },
+  };
+}
+
+// The cases. Each one: an id (the saved file's name), the fixture, what it asks, the edits
+// through the session (`edit`), the same edits in MATLAB (`matlab`), and what the MATLAB half
+// must then find:
+//   identical  no edit: the save is the file, byte for byte, and MATLAB loads it as itself
+//   unchanged  written anew, but holding the same values: MATLAB loads it as the original
+//   changed    MATLAB loads it as the original with `matlab` applied, which must differ
+//   control    a NEGATIVE control: `matlab` is the edit plus one more change the save does not
+//              make, and the case passes only when the comparison names it (`differs`, a
+//              piece of the difference it must report). Without these a PASS could be a
+//              comparison that never looks where it says it does.
+const CASES = [];
+function add(id, file, why, edit, matlab, expect = 'changed', differs = '') {
+  CASES.push({ id, file, why, edit, matlab, expect, differs });
+}
+const zero = (id, file, why) => add(id, file, why, () => {}, [], 'identical');
+const control = (id, file, why, edit, matlab, differs) => add(id, file, why, edit, matlab, 'control', differs);
+
+// ---- no edit: the file, byte for byte, for every fixture the gate uses ------------------
+for (const [id, file] of [
+  ['zero_cases', CASES_MAT],
+  ['zero_dispcat', DISPCAT],
+  ['zero_opaque', OPAQUE],
+  ['zero_nested_objects', NESTED],
+  ['zero_strings_mixed', STR_MIXED],
+  ['zero_strings', STRINGS],
+  ['zero_sparse', SPARSE],
+  ['zero_sparse_cases', SPARSE_CASES],
+  ['zero_complex_inf', COMPLEX_INF],
+  ['zero_dag', DAG],
+  ['zero_v6_handles', V6_HANDLES],
+  ['zero_v6_hexobj', V6_HEXOBJ],
+]) {
+  zero(id, file, 'a save with no edit is the file');
+}
+
+// ---- cases.mat: a value of every kind phase 1 writes fresh ---------------------------
+add('scalar_value', CASES_MAT, 'a double scalar', (f) => f.set(['kp'], '7', 'double', '7'), ['S.kp = 7;']);
+add('typed_scalar', CASES_MAT, 'an int16 scalar typed into keeps its class', (f) => f.set(['s_int16'], '9', 'int16', '9'), [
+  'S.s_int16 = int16(9);',
+]);
+add('single_scalar', CASES_MAT, 'a single keeps its class', (f) => f.set(['scalarS'], '2.5', 'single', '2.5'), [
+  'S.scalarS = single(2.5);',
+]);
+add(
+  'uint64_exact',
+  CASES_MAT,
+  'a uint64 past 2^53, exactly',
+  (f) => f.set(['maxU64'], '18446744073709551614', 'uint64', '18446744073709551614'),
+  ["S.maxU64 = intmax('uint64') - 1;"],
+);
+add(
+  'int64_exact',
+  CASES_MAT,
+  'an int64 past 2^53, exactly',
+  (f) => f.set(['i64Unsafe'], '9007199254740995', 'int64', '9007199254740995'),
+  ['S.i64Unsafe = int64(9007199254740992) + 3;'],
+);
+add('logical_scalar', CASES_MAT, 'a logical', (f) => f.set(['boolT'], 'false', 'logical', 'false'), ['S.boolT = false;']);
+add('char_value', CASES_MAT, 'a char row', (f) => f.set(['charStr'], "'new text'", 'char', "'new text'"), [
+  "S.charStr = 'new text';",
+]);
+add('matrix_element', CASES_MAT, 'one element of a 2x3', (f) => f.set(['mat2x3', 'mat2x3(1,2)'], '99', 'double', '99'), [
+  'S.mat2x3(1,2) = 99;',
+]);
+add(
+  'int16_elements',
+  CASES_MAT,
+  'elements of an int16 vector stay int16, a fraction rounded as MATLAB rounds it',
+  (f) => {
+    f.set(['i16Vec', 'i16Vec(2)'], '99', 'int16', '99');
+    f.set(['i16Vec', 'i16Vec(3)'], '1.5', 'int16', '2');
+  },
+  ['S.i16Vec(2) = 99;', 'S.i16Vec(3) = 1.5;'],
+);
+add('logical_element', CASES_MAT, 'an element of a logical vector', (f) => f.set(['boolVec', 'boolVec(2)'], 'true', 'logical', 'true'), [
+  'S.boolVec(2) = true;',
+]);
+add('nd_element', CASES_MAT, 'an element of a 2x3x2', (f) => f.set(['nd2x3x2', 'nd2x3x2(2,1,2)'], '99', 'double', '99'), [
+  'S.nd2x3x2(2,1,2) = 99;',
+]);
+add('nonfinite_element', CASES_MAT, 'a non-finite typed into a vector', (f) => f.set(['nonFinVec', 'nonFinVec(1)'], '-Inf', 'double', '-Inf'), [
+  'S.nonFinVec(1) = -Inf;',
+]);
+add('reshape', CASES_MAT, 'a row typed as a 2x2', (f) => f.set(['rowVec'], '[1 2; 3 4]', 'double', '[1 2; 3 4]'), [
+  'S.rowVec = [1 2; 3 4];',
+]);
+add('column_to_row', CASES_MAT, 'a column typed as a row', (f) => f.set(['colVec'], '[7 8 9]', 'double', '[7 8 9]'), [
+  'S.colVec = [7 8 9];',
+]);
+add('to_empty', CASES_MAT, 'a scalar typed as []', (f) => f.set(['negD'], '[]', 'double', '[ ]'), ['S.negD = [];']);
+add('struct_field', CASES_MAT, 'a field of a struct', (f) => f.set(['structScalar', 'a'], '9', 'double', '9'), [
+  'S.structScalar.a = 9;',
+]);
+add('nested_struct_field', CASES_MAT, 'a field of a struct in a struct', (f) => f.set(['structNest', 'a', 'b'], '20', 'double', '20'), [
+  'S.structNest.a.b = 20;',
+]);
+add(
+  'struct_array_field',
+  CASES_MAT,
+  "a field of a 1x3 struct array's second element",
+  (f) => f.set(['struct1x3', 'struct1x3(2)', 'a'], '9', 'double', '9'),
+  ['S.struct1x3(2).a = 9;'],
+);
+add(
+  'struct_2d_field',
+  CASES_MAT,
+  "a field of a 2x3 struct array's (1,2) element",
+  (f) => f.set(['struct2x3', 'struct2x3(1,2)', 'a'], '33', 'double', '33'),
+  ['S.struct2x3(1,2).a = 33;'],
+);
+add(
+  'struct_nd_field',
+  CASES_MAT,
+  "a field of a 2x3x2 struct array's (1,2,1) element",
+  (f) => f.set(['structNd', 'structNd(1,2,1)', 'a'], '33', 'double', '33'),
+  ['S.structNd(1,2,1).a = 33;'],
+);
+add('cell_member', CASES_MAT, 'a member of a cell', (f) => f.set(['cellFlat', 'cellFlat{1}'], '9', 'double', '9'), [
+  'S.cellFlat{1} = 9;',
+]);
+add('cell_member_class', CASES_MAT, "a cell's char member typed as a double row", (f) => f.set(['cellFlat', 'cellFlat{2}'], '[1 2]', 'double', '[1 2]'), [
+  'S.cellFlat{2} = [1 2];',
+]);
+add(
+  'cell_nested_member',
+  CASES_MAT,
+  'a member of a cell in a cell in a cell',
+  (f) => f.set(['cellNest', 'cellNest{2}', 'cellNest{2}{2}', 'cellNest{2}{2}{1}'], '30', 'double', '30'),
+  ['S.cellNest{2}{2}{1} = 30;'],
+);
+add('cell_nd_member', CASES_MAT, 'a member of a 2x3x2 cell', (f) => f.set(['cellNd', 'cellNd{1,2,1}'], '33', 'double', '33'), [
+  'S.cellNd{1,2,1} = 33;',
+]);
+add('add_struct_field', CASES_MAT, 'a field added to a struct, last', (f) => f.addField(['structScalar'], 'field'), [
+  'S.structScalar.field = 0;',
+]);
+add('class_double_to_char', CASES_MAT, 'a double typed as text', (f) => f.set(['kp'], "'abc'", 'char', "'abc'"), ["S.kp = 'abc';"]);
+add('class_char_to_double', CASES_MAT, 'text typed as numbers', (f) => f.set(['charStr'], '[1 2]', 'double', '[1 2]'), [
+  'S.charStr = [1 2];',
+]);
+add('class_to_cell', CASES_MAT, 'a double typed as a cell', (f) => f.set(['infN'], "{1, 'a'}", 'cell', "{1, 'a'}"), [
+  "S.infN = {1, 'a'};",
+]);
+add('complex_scalar', CASES_MAT, 'a complex scalar', (f) => f.set(['cplxScalar'], '1-2i', 'double', '1-2i'), ['S.cplxScalar = 1-2i;']);
+add(
+  'complex_element',
+  CASES_MAT,
+  'a real typed into a complex vector, which stays complex',
+  (f) => {
+    f.set(['cplxVec', 'cplxVec(1)'], '5', 'double', '5');
+    if (f.at('cplxVec').displayValue !== '[5 3-4i]') {
+      throw new Error('cplxVec shows ' + f.at('cplxVec').displayValue);
+    }
+  },
+  ['S.cplxVec(1) = 5;'],
+);
+add('real_to_complex', CASES_MAT, 'a real scalar typed as a complex one', (f) => f.set(['scalarD'], '2+3i', 'double', '2+3i'), [
+  'S.scalarD = 2+3i;',
+]);
+
+// ---- cases.mat: renames, deletes and adds -------------------------------------------
+add('rename_plain', CASES_MAT, 'a plain variable renamed', (f) => f.rename('kp', 'kpRenamed'), [
+  "S = renameStructField(S, 'kp', 'kpRenamed');",
+]);
+add('rename_long', CASES_MAT, 'a struct renamed to 63 characters', (f) => f.rename('structNest', LONG_NAME), [
+  `S = renameStructField(S, 'structNest', '${LONG_NAME}');`,
+]);
+add(
+  'rename_swap',
+  CASES_MAT,
+  'two variables trading names through a third',
+  (f) => {
+    f.rename('kp', 'tmpName');
+    f.rename('scalarD', 'kp');
+    f.rename('tmpName', 'scalarD');
+  },
+  ["S = renameStructField(S, 'kp', 'tmpName');", "S = renameStructField(S, 'scalarD', 'kp');", "S = renameStructField(S, 'tmpName', 'scalarD');"],
+);
+add('rename_param', CASES_MAT, 'a Simulink.Parameter renamed', (f) => f.rename('aParam', 'renamedParam'), [
+  "S = renameStructField(S, 'aParam', 'renamedParam');",
+]);
+add('rename_string', CASES_MAT, 'a string renamed', (f) => f.rename('strScalar', 'str2'), ["S = renameStructField(S, 'strScalar', 'str2');"]);
+const CASES_OBJECTS = ['strScalar', 'strArray', 'strMat', 'aParam', 'aSignal', 'aBus', 'aLookup', 'aVariant', 'objRow', 'objCol', 'obj2x3', 'obj2x3x2'];
+add(
+  'rename_objects_all',
+  CASES_MAT,
+  'every variable the subsystem holds renamed: strings, a Parameter, Signal, Bus, LookupTable, VariantVariable and Parameter arrays',
+  (f) => CASES_OBJECTS.forEach((n) => f.rename(n, n + 'R')),
+  CASES_OBJECTS.map((n) => `S = renameStructField(S, '${n}', '${n}R');`),
+);
+add('delete_plain', CASES_MAT, 'a plain variable deleted', (f) => f.remove('infP'), ["S = rmfield(S, 'infP');"]);
+add('delete_param', CASES_MAT, 'a Simulink.Parameter deleted: its object stays in the subsystem, held by nothing', (f) => f.remove('aParam'), [
+  "S = rmfield(S, 'aParam');",
+]);
+add(
+  'delete_objects_all',
+  CASES_MAT,
+  'every variable the subsystem holds deleted: the subsystem stays, held by nothing',
+  (f) => CASES_OBJECTS.forEach((n) => f.remove(n)),
+  [`S = rmfield(S, {${CASES_OBJECTS.map((n) => `'${n}'`).join(', ')}});`],
+);
+add(
+  'delete_all',
+  CASES_MAT,
+  'every variable deleted: the file holds only the subsystem',
+  (f) => [...f.root.children].forEach((n) => f.remove(n.name)),
+  ['S = struct();'],
+);
+add('add_variable', CASES_MAT, 'a variable added, before the subsystem', (f) => f.add('var'), ['S.var = 0;']);
+add(
+  'add_and_edit',
+  CASES_MAT,
+  'a variable added, then its value typed',
+  (f) => {
+    f.add('added');
+    f.set(['added'], '[1 2 3]', 'double', '[1 2 3]');
+  },
+  ['S.added = [1 2 3];'],
+);
+add(
+  'several_at_once',
+  CASES_MAT,
+  'a value, a cell member, two renames (one an object), two deletes (one an object) and an add, in one save',
+  (f) => {
+    f.set(['kp'], '[7 8]', 'double', '[7 8]');
+    f.rename('scalarD', 'renamedD');
+    f.set(['cellFlat', 'cellFlat{3}'], "'x'", 'char', "'x'");
+    f.rename('aSignal', 'sig2');
+    f.remove('negD');
+    f.remove('objRow');
+    f.add('added');
+  },
+  [
+    'S.kp = [7 8];',
+    "S = renameStructField(S, 'scalarD', 'renamedD');",
+    "S.cellFlat{3} = 'x';",
+    "S = renameStructField(S, 'aSignal', 'sig2');",
+    "S = rmfield(S, {'negD', 'objRow'});",
+    'S.added = 0;',
+  ],
+);
+add(
+  'edit_undone',
+  CASES_MAT,
+  'an element edited and the edit undone: written fresh, holding the value read',
+  (f) => {
+    f.set(['mat2x3', 'mat2x3(1,1)'], '9', 'double', '9');
+    f.undo();
+  },
+  [],
+  'unchanged',
+);
+add(
+  'rename_undone',
+  CASES_MAT,
+  'a rename undone: the file as it was',
+  (f) => {
+    f.rename('kp', 'kp2');
+    f.undo();
+  },
+  [],
+  'identical',
+);
+
+// ---- every plain variable written fresh, holding what it was read as -----------------
+for (const [id, file] of [
+  ['fresh_cases', CASES_MAT],
+  ['fresh_dispcat', DISPCAT],
+  ['fresh_sparse', SPARSE],
+  ['fresh_sparse_cases', SPARSE_CASES],
+  ['fresh_complex_inf', COMPLEX_INF],
+]) {
+  add(id, file, 'every plain variable written fresh by core', (f) => f.freshAll(), [], 'unchanged');
+}
+
+// ---- sparse ---------------------------------------------------------------------------
+add('sparse_element', SPARSE, 'a non-zero of a sparse double', (f) => f.set(['spDiag', 'spDiag(3,3)'], '99', 'double', '99'), [
+  'S.spDiag(3,3) = 99;',
+]);
+add(
+  'sparse_complex_element',
+  SPARSE,
+  'a real typed into a complex sparse, which stays complex',
+  (f) => f.set(['spComplex', 'spComplex(1,1)'], '5', 'double', '5'),
+  ['S.spComplex(1,1) = 5;'],
+);
+add('sparse_in_struct', SPARSE, 'a non-zero of a sparse in a struct field', (f) => f.set(['st', 'sp', 'sp(2,1)'], '1', 'double', '1'), [
+  'S.st.sp(2,1) = 1;',
+]);
+add('sparse_in_cell', SPARSE, 'a non-zero of a sparse in a cell', (f) => f.set(['c', 'c{1}', 'c{1}(1,3)'], '10', 'double', '10'), [
+  'S.c{1}(1,3) = 10;',
+]);
+add('sparse_rename_delete_add', SPARSE, 'a sparse renamed, a sparse Parameter deleted, a variable added', (f) => {
+  f.rename('spTall', 'spTallR');
+  f.remove('pSp');
+  f.add('var');
+}, ["S = renameStructField(S, 'spTall', 'spTallR');", "S = rmfield(S, 'pSp');", 'S.var = 0;']);
+
+// ---- a file with no subsystem ---------------------------------------------------------
+add(
+  'nosubsystem_edit_add',
+  COMPLEX_INF,
+  'a file with no subsystem: an element edited, a variable renamed, one added after the last',
+  (f) => {
+    f.set(['zInfRow', 'zInfRow(2)'], 'Inf', 'double', 'Inf');
+    f.rename('zInf', 'zInfR');
+    f.add('var');
+  },
+  ['S.zInfRow(2) = Inf;', "S = renameStructField(S, 'zInf', 'zInfR');", 'S.var = 0;'],
+);
+
+// ---- an edit beside an empty, which the save writes fresh without its being touched ---
+crafted.set(NESTED_EMPTIES, nestedEmpties());
+zero('zero_nested_empties', NESTED_EMPTIES, 'a save with no edit is the file (and MATLAB loads the assembled file)');
+add(
+  'sibling_struct_field',
+  NESTED_EMPTIES,
+  'a struct field edited beside an empty complex and an empty struct with a field, both written fresh with it',
+  (f) => f.set(['s', 'x'], '2', 'double', '2'),
+  ['S.s.x = 2;'],
+);
+add(
+  'sibling_cell_member',
+  NESTED_EMPTIES,
+  'a cell member edited beside an empty complex and an empty struct with a field, both written fresh with it',
+  (f) => f.set(['c', 'c{3}'], '9', 'double', '9'),
+  ['S.c{3} = 9;'],
+);
+
+crafted.set(EMPTIES_MORE, emptiesMore());
+zero('zero_empties_more', EMPTIES_MORE, 'a save with no edit is the file (and MATLAB loads the assembled file)');
+add(
+  'sibling_cell_two_fields',
+  EMPTIES_MORE,
+  'a cell member edited beside a struct of no element with two fields, written fresh with it',
+  (f) => f.set(['c2', 'c2{2}'], '9', 'double', '9'),
+  ['S.c2{2} = 9;'],
+);
+add('fresh_complex_single_0x3', EMPTIES_MORE, 'every plain variable written fresh: complex(zeros(0,3,\'single\')), and the rest of the file', (f) => f.freshAll(), [], 'unchanged');
+add(
+  'sibling_complex_single_0x3',
+  EMPTIES_MORE,
+  "a struct field edited beside complex(zeros(0,3,'single')), written fresh with it",
+  (f) => f.set(['sz', 'x'], '2', 'double', '2'),
+  ['S.sz.x = 2;'],
+);
+add(
+  'struct_array_nested_empty',
+  EMPTIES_MORE,
+  "a field of a struct array's element edited beside an empty struct with a field in each element",
+  (f) => f.set(['sa', 'sa(2)', 'x'], '5', 'double', '5'),
+  ['S.sa(2).x = 5;'],
+);
+add('global_element', EMPTIES_MORE, 'an element of a variable saved as global: written fresh, and still global', (f) => f.set(['g', 'g(2)'], '7', 'double', '7'), [
+  'S.g(2) = 7;',
+]);
+add(
+  'negative_zero_parts',
+  EMPTIES_MORE,
+  'an element of a complex row edited beside elements whose zero parts are -0, which keep their sign',
+  (f) => f.set(['nz', 'nz(2)'], '5', 'double', '5'),
+  ['S.nz(2) = 5;'],
+);
+
+// ---- variables saved as global: written fresh, still global -----------------------------
+zero('zero_global_v7', GLOBAL_V7, 'a save with no edit is the file');
+zero('zero_global_v6', GLOBAL_V6, 'a save with no edit is the file');
+add('global_v7_element', GLOBAL_V7, 'an element of a global double: written fresh, and still global', (f) => f.set(['gD', 'gD(2)'], '20', 'double', '20'), [
+  'S.gD(2) = 20;',
+]);
+add(
+  'global_v7_struct_field',
+  GLOBAL_V7,
+  'a field of a global struct: the struct written fresh, global, and nothing nested in it global',
+  (f) => f.set(['gS', 'a'], '5', 'double', '5'),
+  ['S.gS.a = 5;'],
+);
+add('global_v6_cell_member', GLOBAL_V6, 'a member of a global cell in a -v6 file: still global, still uncompressed', (f) => f.set(['gC', 'gC{1}'], '40', 'double', '40'), [
+  'S.gC{1} = 40;',
+]);
+add('global_v6_int16', GLOBAL_V6, 'a global int16 typed into, which keeps its class and stays global', (f) => f.set(['gI'], '-8', 'int16', '-8'), [
+  'S.gI = int16(-8);',
+]);
+add('fresh_global_v7', GLOBAL_V7, 'every plain variable written fresh: the globals stay global, the other stays not', (f) => f.freshAll(), [], 'unchanged');
+add(
+  'global_rename_delete_add',
+  GLOBAL_V7,
+  'a global renamed (its bytes, renamed), another deleted, a field of a third edited, a variable added (not global)',
+  (f) => {
+    f.rename('gD', 'gD2');
+    f.remove('gI');
+    f.set(['gS', 'a'], '6', 'double', '6');
+    f.add('var');
+  },
+  ["S = renameStructField(S, 'gD', 'gD2');", "S = rmfield(S, 'gI');", 'S.gS.a = 6;', 'S.var = 0;'],
+);
+
+// ---- function handles, enumerations, fi, categorical, table -------------------------
+add(
+  'rename_fhandles',
+  OPAQUE,
+  'a named and an anonymous function handle renamed',
+  (f) => {
+    f.rename('fh_sin', 'sinHandle');
+    f.rename('fh_anon', 'anonHandle');
+  },
+  ["S = renameStructField(S, 'fh_sin', 'sinHandle');", "S = renameStructField(S, 'fh_anon', 'anonHandle');"],
+);
+add(
+  'delete_fhandles',
+  OPAQUE,
+  'an anonymous and an empty function handle deleted',
+  (f) => {
+    f.remove('fh_anon');
+    f.remove('e_func_handle_none');
+  },
+  ["S = rmfield(S, {'fh_anon', 'e_func_handle_none'});"],
+);
+add(
+  'rename_opaque_objects',
+  OPAQUE,
+  'an enumeration, a Parameter holding one, a fi, a categorical and a table renamed',
+  (f) => ['en_on', 'p_enum', 'fi_vec', 'cat_ab', 'tbl_2x2'].forEach((n) => f.rename(n, n + 'R')),
+  ['en_on', 'p_enum', 'fi_vec', 'cat_ab', 'tbl_2x2'].map((n) => `S = renameStructField(S, '${n}', '${n}R');`),
+);
+add(
+  'delete_opaque_objects_add',
+  OPAQUE,
+  'an enumeration vector, a categorical and a table deleted, a variable added',
+  (f) => {
+    f.remove('en_sl_vec');
+    f.remove('cat_ab');
+    f.remove('tbl_2x2');
+    f.add('var');
+  },
+  ["S = rmfield(S, {'en_sl_vec', 'cat_ab', 'tbl_2x2'});", 'S.var = 0;'],
+);
+
+// ---- objects and strings held in the subsystem ---------------------------------------
+add(
+  'nested_objects_rename',
+  NESTED,
+  'Parameters, strings, a missing string and structs and cells holding objects, renamed',
+  (f) => ['s', 'c', 'pTop', 'strTop', 'missTop', 'busTop', 'cArr'].forEach((n) => f.rename(n, n + 'R')),
+  ['s', 'c', 'pTop', 'strTop', 'missTop', 'busTop', 'cArr'].map((n) => `S = renameStructField(S, '${n}', '${n}R');`),
+);
+add(
+  'nested_objects_delete_add',
+  NESTED,
+  'a Parameter, a Bus, a string matrix and a cell of objects deleted, a variable added',
+  (f) => {
+    ['qTop', 'busTop', 'strsTop', 'cArr'].forEach((n) => f.remove(n));
+    f.add('var');
+  },
+  ["S = rmfield(S, {'qTop', 'busTop', 'strsTop', 'cArr'});", 'S.var = 0;'],
+);
+add(
+  'strings_mixed_rename',
+  STR_MIXED,
+  'a string and a Parameter beside it renamed',
+  (f) => {
+    f.rename('mixStr', 'mixStr2');
+    f.rename('mixParam', 'mixParam2');
+  },
+  ["S = renameStructField(S, 'mixStr', 'mixStr2');", "S = renameStructField(S, 'mixParam', 'mixParam2');"],
+);
+add('strings_mixed_delete', STR_MIXED, 'the Parameter before a string deleted', (f) => f.remove('mixParam'), [
+  "S = rmfield(S, 'mixParam');",
+]);
+add(
+  'strings_rename_delete',
+  STRINGS,
+  'strings of astral and non-ASCII text renamed, another deleted',
+  (f) => {
+    f.rename('sAstral', 'sAstralR');
+    f.rename('sUnicode', 'sUnicodeR');
+    f.remove('sScalar');
+  },
+  ["S = renameStructField(S, 'sAstral', 'sAstralR');", "S = renameStructField(S, 'sUnicode', 'sUnicodeR');", "S = rmfield(S, 'sScalar');"],
+);
+add(
+  'dag_rename_add',
+  DAG,
+  'a handle DAG, one object held twice at every level, renamed; a variable added',
+  (f) => {
+    f.rename('root', 'rootR');
+    f.add('var');
+  },
+  ["S = renameStructField(S, 'root', 'rootR');", 'S.var = 0;'],
+);
+
+// ---- -v6 files: no compressed record, before or after ---------------------------------
+add(
+  'v6_handles_edit',
+  V6_HANDLES,
+  'a -v6 file of function handles: one renamed, one deleted, a variable added',
+  (f) => {
+    f.rename('s_fh', 's_fh2');
+    f.remove('c_fh');
+    f.add('var');
+  },
+  ["S = renameStructField(S, 's_fh', 's_fh2');", "S = rmfield(S, 'c_fh');", 'S.var = 0;'],
+);
+add(
+  'v6_hexobj_edit',
+  V6_HEXOBJ,
+  'a -v6 file of objects: a value and a cell member beside a 10000000x2 sparse edited, an object renamed, another deleted, a variable added',
+  (f) => {
+    f.set(['control'], '[1 2 3]', 'double', '[1 2 3]');
+    f.set(['cTall', 'cTall{2}'], '3', 'double', '3');
+    f.rename('anonAlias', 'anonAliasR');
+    f.remove('holder');
+    f.add('var');
+  },
+  [
+    'S.control = [1 2 3];',
+    'S.cTall{2} = 3;',
+    "S = renameStructField(S, 'anonAlias', 'anonAliasR');",
+    "S = rmfield(S, 'holder');",
+    'S.var = 0;',
+  ],
+);
+
+// ---- negative controls: the comparison must see each of these ------------------------
+control('control_value', CASES_MAT, 'a value the save did not write', (f) => f.set(['kp'], '7', 'double', '7'), ['S.kp = 8;'], 'kp: 8 vs 7');
+control('control_class', CASES_MAT, 'the same number in another class', (f) => f.set(['s_int16'], '9', 'int16', '9'), ['S.s_int16 = 9;'], 's_int16: class double vs int16');
+control('control_complexity', CASES_MAT, 'the same number, complex', (f) => f.set(['scalarD'], '2', 'double', '2'), ['S.scalarD = complex(2, 0);'], 'scalarD: real 0 vs 1');
+control(
+  'control_object_property',
+  CASES_MAT,
+  "a Parameter's Value, two levels into the comparison",
+  (f) => f.rename('aParam', 'renamedParam'),
+  ["S = renameStructField(S, 'aParam', 'renamedParam');", 'S.renamedParam.Value = 6;'],
+  'renamedParam(1).Value',
+);
+control(
+  'control_nested_property',
+  CASES_MAT,
+  "a Parameter's CoderInfo.StorageClass, three levels in",
+  (f) => f.rename('aParam', 'renamedParam'),
+  ["S = renameStructField(S, 'aParam', 'renamedParam');", "S.renamedParam.CoderInfo.StorageClass = 'ExportedGlobal';"],
+  'renamedParam(1).CoderInfo(1).StorageClass',
+);
+control(
+  'control_string',
+  CASES_MAT,
+  'a string the save did not write',
+  (f) => f.rename('strScalar', 'str2'),
+  ["S = renameStructField(S, 'strScalar', 'str2');", 'S.str2 = "other";'],
+  'str2: "other" vs "world"',
+);
+control(
+  'control_order',
+  CASES_MAT,
+  'the variables in another order',
+  (f) => f.rename('kp', 'kpR'),
+  ["S = renameStructField(S, 'kp', 'kpR');", 'S = orderfields(S);'],
+  'variables [',
+);
+control(
+  'control_field_order',
+  CASES_MAT,
+  "a struct's fields in another order",
+  (f) => f.addField(['structScalar'], 'field'),
+  ['S.structScalar.field = 0;', 'S.structScalar = orderfields(S.structScalar, [3 1 2]);'],
+  'structScalar: fields [field,a,b] vs [a,b,field]',
+);
+control(
+  'control_handle_sharing',
+  DAG,
+  "one object held twice made two equal objects: the values agree, the sharing does not",
+  (f) => f.rename('root', 'rootR'),
+  ["S = renameStructField(S, 'root', 'rootR');", 'k = S.rootR.Kids(1); n = DagNode; n.Tag = k.Tag; n.Kids = k.Kids; S.rootR.Kids = [k n];'],
+  'handle sharing differs',
+);
+control(
+  'control_anonymous_handle',
+  OPAQUE,
+  "an anonymous function handle's text",
+  (f) => f.rename('fh_anon', 'anonHandle'),
+  ["S = renameStructField(S, 'fh_anon', 'anonHandle');", 'S.anonHandle = @(x)x.^2+2;'],
+  'anonHandle: @(x)x.^2+2 vs @(x)x.^2+1',
+);
+control(
+  'control_enum',
+  OPAQUE,
+  'an enumeration member',
+  (f) => f.rename('en_on', 'en_onR'),
+  ["S = renameStructField(S, 'en_on', 'en_onR');", 'S.en_onR = matlab.lang.OnOffSwitchState.off;'],
+  'en_onR: off vs on',
+);
+control(
+  'control_negative_zero',
+  EMPTIES_MORE,
+  "a complex zero's -0 parts made +0, which isequaln does not see and the bits do",
+  (f) => f.set(['nz', 'nz(2)'], '5', 'double', '5'),
+  ['S.nz(2) = 5;', 'S.nz(3) = complex(0, 0);'],
+  'nz: equal, but not bit for bit',
+);
+control(
+  'control_categorical',
+  OPAQUE,
+  'a categorical, which has no public property, so only isequaln sees it',
+  (f) => f.rename('cat_ab', 'cat_abR'),
+  ["S = renameStructField(S, 'cat_ab', 'cat_abR');", 'S.cat_abR(1) = S.cat_abR(2);'],
+  'cat_abR: isequaln false',
+);
+
+// ---- run ------------------------------------------------------------------------------
+const originals = new Map();
+function original(rel) {
+  let dest = originals.get(rel);
+  if (!dest) {
+    // A copy, so nothing MATLAB does can touch a tracked fixture.
+    dest = OUT + '/orig_' + rel.replace(/[\\/]/g, '_');
+    if (crafted.has(rel)) {
+      writeFileSync(dest, crafted.get(rel));
+    } else {
+      copyFileSync(REPO + rel, dest);
+    }
+    originals.set(rel, dest);
+  }
+  return dest;
+}
+
+const manifest = [];
+let saved = 0;
+let refused = 0;
+let jsFailed = 0;
+for (const c of CASES) {
+  const rec = {
+    id: c.id,
+    fixture: c.file,
+    original: original(c.file),
+    saved: '',
+    statements: c.matlab,
+    expect: c.expect,
+    differs: c.differs,
+    plain: false,
+    why: c.why,
+    refused: '',
+    js: '',
+    notes: '',
+  };
+  manifest.push(rec);
+  const input = new Uint8Array(bytesOf(c.file));
+  const plainBefore = parseMat(input.buffer.slice(0)).records.every((r) => !r.compressed);
+  rec.plain = plainBefore;
+  let f;
+  try {
+    // So that "stays uncompressed" below is asked of the files it is about.
+    if ((c.file === V6_HANDLES || c.file === V6_HEXOBJ) && !plainBefore) {
+      throw new Error(c.file + ' holds a compressed record: it is not the -v6 file this case needs');
+    }
+    f = opened(c.file);
+    c.edit(f);
+  } catch (e) {
+    rec.js = 'the edit: ' + e.message;
+    jsFailed++;
+    continue;
+  }
+  let out;
+  try {
+    out = f.session.serializeSource(f.name);
+  } catch (e) {
+    rec.refused = e.message;
+    refused++;
+    continue;
+  }
+  const problems = [];
+  if (!out || out.kind !== 'binary' || out.sourceFormat !== 'mat') {
+    rec.js = 'serializeSource answered ' + JSON.stringify(out && { kind: out.kind, sourceFormat: out.sourceFormat });
+    jsFailed++;
+    continue;
+  }
+  const bytes = out.bytes;
+  rec.saved = OUT + '/saved_' + c.id + '.mat';
+  writeFileSync(rec.saved, bytes);
+  saved++;
+  if (c.expect === 'identical' && !sameBytes(bytes, input)) {
+    problems.push('a save with no edit is not the file, byte for byte');
+  }
+  if (c.expect !== 'identical' && sameBytes(bytes, input)) {
+    problems.push('a save with an edit is the file, byte for byte');
+  }
+  const after = parseMat(bytes.buffer.slice(bytes.byteOffset, bytes.byteOffset + bytes.byteLength));
+  if (plainBefore && !after.records.every((r) => !r.compressed)) {
+    problems.push('a file of no compressed record saved with one: ' + after.records.filter((r) => r.compressed).map((r) => r.name).join(','));
+  }
+  const before = checkMatFile(input);
+  const added = before.length === 0 ? checkMatFile(bytes) : violationsAdded(before, checkMatFile(bytes));
+  if (added.length > 0) {
+    problems.push('the checker finds what the file did not have: ' + added.map((v) => v.code + ' ' + v.message).join('; '));
+  }
+  rec.js = problems.join('; ');
+  if (problems.length > 0) {
+    jsFailed++;
+  }
+  rec.notes = [...f.notes, bytes.byteLength + ' bytes (' + input.byteLength + ' read)'].join('; ');
+}
+
+writeFileSync(OUT + '/manifest.json', JSON.stringify(manifest, null, 2));
+for (const r of manifest) {
+  const verdict = r.js ? 'JSFAIL ' + r.js : r.refused ? 'REFUSED ' + r.refused : 'saved';
+  console.log(r.id.padEnd(28) + ' ' + verdict);
+}
+console.log(`PROBE_MAT_WRITEBACK_JS cases=${manifest.length} saved=${saved} refused=${refused} jsfail=${jsFailed} out=${OUT}`);
diff --git a/test/parseWarnings.test.ts b/test/parseWarnings.test.ts
index e6440cfa..9bc05604 100644
--- a/test/parseWarnings.test.ts
+++ b/test/parseWarnings.test.ts
@@ -67,6 +67,9 @@ import {
 const TEST_ROOT = fileURLToPath(new URL('./', import.meta.url));
 const ARTIFACTS = join(TEST_ROOT, 'parity', 'artifacts');
 const FIXTURES = join(TEST_ROOT, 'fixtures');
+// Copies of MATLAB-written files edited to break MATLAB's load rules on purpose, each with
+// MATLAB's verdict (test/matFileCheck.test.ts): no corpus of complete files, so not swept here.
+const MAT_CHECK = join(FIXTURES, 'mat-check');
 
 function bytesAt(abs: string): ArrayBuffer {
   const u8 = new Uint8Array(readFileSync(abs));
@@ -133,7 +136,7 @@ describe('the whole fixture corpus parses with no warnings at all', () => {
     // the whole channel worthless. It is asserted over the enumerated corpus rather
     // than a hand-listed sample so that a new fixture is covered by default.
     const files = [...filesUnder(ARTIFACTS), ...filesUnder(FIXTURES)]
-      .filter((f) => /\.(slx|mdl|mat)$/i.test(f))
+      .filter((f) => /\.(slx|mdl|mat)$/i.test(f) && !f.startsWith(MAT_CHECK))
       .sort();
 
     // An empty or mis-filtered list would pass the assertion below vacuously. These
diff --git a/test/sessionSerializeSource.test.ts b/test/sessionSerializeSource.test.ts
index 45384cd1..6a377bcf 100644
--- a/test/sessionSerializeSource.test.ts
+++ b/test/sessionSerializeSource.test.ts
@@ -128,20 +128,31 @@ describe('session.serializeSource', () => {
   });
 
   it('returns null for a read-only format instead of throwing', () => {
-    // .slx / .mdl / .mat / .prj have no write path at all (see docs/TODO.md, "Not
-    // gaps"). A consumer enumerating every open source must not need a try/catch per
-    // source to find that out, and must never be handed bytes that only look like a
-    // file — ModelNode.serialize(), for one, returns a summary object, not a model.
+    // .slx / .mdl / .prj have no write path at all (see docs/TODO.md, "Not gaps"). A
+    // consumer enumerating every open source must not need a try/catch per source to
+    // find that out, and must never be handed bytes that only look like a file —
+    // ModelNode.serialize(), for one, returns a summary object, not a model.
     const s = createSession();
     s.addModelSource('model_with_refs.slx', bytes('model_with_refs.slx'));
-    s.addMatSource('strings.mat', bytes('strings.mat'));
     s.addProjectSource('MyProj.prj', PRJ_STORE);
 
     expect(s.serializeSource('model_with_refs.slx')).toBeNull();
-    expect(s.serializeSource('strings.mat')).toBeNull();
     expect(s.serializeSource('MyProj.prj')).toBeNull();
   });
 
+  it('answers a MAT-file with its bytes, which unedited are the file it was read from', () => {
+    // A `.mat` is written as its own records, what was edited written fresh
+    // (test/matFileSave.test.ts holds every edit to that), so with nothing edited it is
+    // the file, byte for byte.
+    const s = createSession();
+    const input = bytes('strings.mat');
+    s.addMatSource('strings.mat', input);
+
+    const out = s.serializeSource('strings.mat')!;
+    expect([out.kind, out.sourceFormat]).toEqual(['binary', 'mat']);
+    expect(out.kind === 'binary' ? [...out.bytes] : null).toEqual([...new Uint8Array(input)]);
+  });
+
   it('returns null for a srcId the session does not hold', () => {
     // Same answer as getDataSource for the same question, so a caller has one rule.
     const s = createSession();
diff --git a/test/sparseDamaged.test.ts b/test/sparseDamaged.test.ts
index da222238..8dc51b26 100644
--- a/test/sparseDamaged.test.ts
+++ b/test/sparseDamaged.test.ts
@@ -152,8 +152,11 @@ describe('a damaged column count in an MCOS-held sparse array opens, as what its
         ['Value(9999999,2)', '8', false],
       ],
     ]);
-    // Not hex: the rows are read-only for this array's own sake, and say why.
-    expect(value.children[0].setProperty('Value', '9')).toMatchObject({ error: true, reason: expect.stringMatching(/cannot be written once edited/) });
+    // Not hex: the rows are read-only for this array's own sake (_sparseRefusal), and in a .mat for
+    // its object's too, which the file's save writes as it was read: the file says so first
+    // (MatNode._editRefusal).
+    expect(value._sparseRefusal()).toEqual(expect.any(String));
+    expect(value.children[0].setProperty('Value', '9')).toMatchObject({ error: true, reason: expect.stringMatching(/^Cannot edit "pTall": it is a Simulink\.Parameter/) });
     expect(mat.warnings?.map((w: any) => w.part)).toEqual(['pTall.Value']);
     // A copy into a dictionary: its Value is the element it was read from.
     const copied = JSON.parse(JSON.stringify(pTall.serializeValue()))._elements[0]._properties.Value;
@@ -245,10 +248,13 @@ describe('a sparse MCOS property of a class nothing writes sparse shows what its
         ['Value(9999999,2)', '8', false],
       ],
     ]);
-    // Not hex: read-only because nothing could write an edit of an int8 sparse array.
+    // Not hex: read-only because nothing could write an edit of an int8 sparse array
+    // (_sparseRefusal), and in a .mat because its save writes the object as it was read, which
+    // the refusal says first (MatNode._editRefusal).
+    expect(pTall._valueNode._sparseRefusal()).toBe('no sparse MAT class for "int8"');
     expect(pTall._valueNode.children[0].setProperty('Value', '9')).toMatchObject({
       error: true,
-      reason: expect.stringMatching(/no sparse MAT class for "int8"/),
+      reason: expect.stringMatching(/^Cannot edit "pTall": it is a Simulink\.Parameter/),
     });
     const copied = JSON.parse(JSON.stringify(pTall.serializeValue()))._elements[0]._properties.Value;
     expect(copied._type).toBe('cdata');
diff --git a/test/sparseFixtures.test.ts b/test/sparseFixtures.test.ts
index 6bcb6f84..6c7dc3cc 100644
--- a/test/sparseFixtures.test.ts
+++ b/test/sparseFixtures.test.ts
@@ -36,6 +36,7 @@ import { fileURLToPath } from 'node:url';
 import { loadFile } from './parity/loadFile.js';
 import { nodeAt } from './tools/matlabPath.js';
 import { parseComplexNum } from '../src/datamodel/parser/XmlUtils.js';
+import { parseMat } from '../src/datamodel/parser/MatParser.js';
 import { uudecode } from '../src/datamodel/parser/CdataCodec.js';
 import { matStreamPrefix } from '../src/datamodel/parser/EncodedValue.js';
 import { readMxArrayRecords } from '../src/datamodel/parser/MxArrayParser.js';
@@ -128,9 +129,21 @@ function columnMajor(node: any, size: number[]): unknown[] {
 
 const numberText = (n: number): string => (Number.isNaN(n) ? 'NaN' : n === Infinity ? 'Inf' : n === -Infinity ? '-Inf' : String(n));
 
+/**
+ * `re` with the sign of its zero, which a truth's JSON cannot carry (numberOf), as MATLAB's own
+ * bytes hold it: the non-zero `k` of `path` in sparse_values.mat, which MATLAB wrote. Its `-3i`
+ * is complex(-0, -3), and its real part reads `-0`, as a binary dictionary's `-0.0-3.0i` reads.
+ */
+const MATLAB_MAT = parseMat(new Uint8Array(readFileSync(fileURLToPath(new URL('./fixtures/sparse/sparse_values.mat', import.meta.url)))).buffer as ArrayBuffer);
+function signedZero(path: string, k: number, re: number): number {
+  const v = MATLAB_MAT.variables.find((x) => x.name === path);
+  return re === 0 && v?.sparse && Object.is(v.sparse.re[k], -0) ? -0 : re;
+}
+
 function elementText(t: ValueTruth, re: number, im: number): string {
   if (t.class === 'logical') return re ? 'true' : 'false';
-  if (!t.isreal) return numberText(re) + (im >= 0 ? '+' : '') + numberText(im) + 'i';
+  // A real part of -0 is shown as it is (XmlUtils.shownComplexText), an imaginary one with a `+`.
+  if (!t.isreal) return (Object.is(re, -0) ? '-0' : numberText(re)) + (im >= 0 ? '+' : '') + numberText(im) + 'i';
   return numberText(re);
 }
 
@@ -202,7 +215,7 @@ function expectNonzeroRows(node: any, t: ValueTruth, label: string): void {
     // a complex one's `re+imi`, in this package's spelling of the numbers MATLAB recorded.
     expect([c.className, c.displayValue], `${label} row ${k + 1} shown`).toEqual([
       t.class,
-      elementText(t, numberOf(nz.real[k]), numberOf(nz.imag[k])),
+      elementText(t, signedZero(label.slice(label.indexOf(' ') + 1), k, numberOf(nz.real[k])), numberOf(nz.imag[k])),
     ]);
   });
   expect(node.children.length, `${label} nnz`).toBe(t.nnz);
@@ -217,14 +230,13 @@ const isValueTruth = (t: PathTruth): boolean => 'real' in t || 'fullOmitted' in
 const OMITTED_AT_DEFAULT = new Set(['text numAlias.K']);
 
 // Where two venues spell one value differently on screen, and why. Not ours to change
-// here: both are about how a FULL value is written, which this suite holds only as the
-// dense control beside each sparse one.
+// here: it is about how a FULL value is written, which this suite holds only as the dense
+// control beside each sparse one.
+//
+// No longer dComplex's complex(-0, -3): the binary dictionary's text `-0.0-3.0i` reads `-0-3i`,
+// and the same -0 read out of MAT bytes, the .mat's and the text dictionary's stream, keeps its
+// sign too (SparseData.complexElement), where it printed as 0 and was written again as 0.
 const SPELLED_DIFFERENTLY: Record<string, string> = {
-  // MATLAB's binary dictionary writes the element complex(-0, -3) as `-0.0-3.0i`, and this
-  // package's complex text keeps the sign; the .mat and the text dictionary's cdata hold
-  // the same -0 as a double, which prints as 0. The numbers are equal (the per-venue check
-  // above says so); the spelling of the zero is not.
-  dComplex: 'binary -0-3i, elsewhere 0-3i',
   // OMITTED_AT_DEFAULT: the text dictionary has no K.
   numAlias: 'text has no K',
 };
@@ -698,8 +710,10 @@ describe('a sparse array\'s rows are its non-zeros, and it has no Variable Edito
         expect([node.canAddChild(), node.canRemoveChild(), node.valueEditable], path).toEqual([false, false, false]);
         for (const row of node.children) {
           // Hex-backed values are read-only through and through, and so are a text dictionary's
-          // MAT streams (the C-012 ruling, 2026-10-15); the rest edit as before.
-          expect(row.valueEditable, `${path} ${row.displayName}`).toBe(venue.name !== 'binary' && venue.name !== 'text');
+          // MAT streams (the C-012 ruling, 2026-10-15), and a .mat's object, which its save writes
+          // as it was read (MatNode._editRefusal); the rest edit as before.
+          const inMatObject = venue.name === 'mat' && !(row.owningEntry instanceof MatlabVariableNode);
+          expect(row.valueEditable, `${path} ${row.displayName}`).toBe(venue.name !== 'binary' && venue.name !== 'text' && !inMatObject);
         }
       }
     });
diff --git a/test/sparseMemberBytes.test.ts b/test/sparseMemberBytes.test.ts
index 16c4e0d2..da3df48e 100644
--- a/test/sparseMemberBytes.test.ts
+++ b/test/sparseMemberBytes.test.ts
@@ -35,9 +35,15 @@ const HEAVY_TIMEOUT = 60_000;
 describe('a sparse member nothing has edited is written as the bytes it was read from', () => {
   it('in a cell out of a .mat, and an edited member alone is encoded again', () => {
     const members = [real(), bare(), real()];
-    const c: any = createSession().addMatSource('c.mat', matFile([cellVar('c', members)])).children[0];
+    const mat: any = createSession().addMatSource('c.mat', matFile([cellVar('c', members)]));
+    const c: any = mat.children[0];
     expect(encodeMatStream(c._var)).toEqual(new Uint8Array(streamOf(cellVar('', members))));
     // An element row of the first edited: that member is its non-zeros, the others their bytes.
+    // Taken out of the .mat to be edited: the damaged member is stored as MATLAB does not load
+    // it, so the file takes no edit of the cell (MatFileWriter.freshRefusal); on its own, the node
+    // takes it.
+    expect(c.children[0].children[1].setProperty('Value', '9')).toMatchObject({ error: true });
+    mat.removeChild(c);
     expect(c.children[0].children[1].setProperty('Value', '9')).toBe(true);
     const edited = encodeMatStream(c._var);
     const back = decodeMatStream(edited);
diff --git a/test/tools/matElements.ts b/test/tools/matElements.ts
new file mode 100644
index 00000000..8f492ecd
--- /dev/null
+++ b/test/tools/matElements.ts
@@ -0,0 +1,305 @@
+// Copyright 2026 The MathWorks, Inc.
+//
+// What a Level-5 miMATRIX element holds, read straight off its bytes by a walker of its own,
+// with no help from the package's reader (MatParser) or writer (MatWriter). A test that compares
+// the variable a save wrote with the one the file held through the package's own reader sees
+// only what that reader keeps: a struct array of no element read as `fields: {}`, so a save
+// that wrote its field-name table empty read back as the variable it was read as, and MATLAB
+// loaded a struct of no field (test/parity/matlab/matWritebackDefects.test.ts). This reads every
+// part of the element MATLAB's `load` reads for a plain value, so that two elements are the same
+// value exactly when what it gives them is the same.
+//
+// What it keeps of an element, `ElementValue`:
+//   - the array class and the flags byte's complex, global, logical and sparse bits, and the
+//     dims;
+//   - a struct's (or a class-3 object's) field names, in order, from its field-name table,
+//     whatever its stride, and an object's class name;
+//   - the members of a cell, and of a struct, element by element and field by field, each the
+//     same way;
+//   - a numeric array's elements, as its class holds them whatever type the file stored them
+//     in (MATLAB narrows a double's storage to the smallest integer type that holds it):
+//     a double or a single as the bits of its IEEE value, so -0 is not 0, and NaN as `NaN`
+//     whatever its payload (see `nan`); an integer as its exact decimal, int64 and uint64
+//     included; complex parts apart;
+//   - a char's UTF-16 code units, however the file stored them (miUTF8, miUTF16, miUINT16,
+//     miUINT8);
+//   - a sparse array's row index, column starts and non-zeros, nzmax apart (the capacity
+//     MATLAB reserves, not the value).
+// A class-17 (MCOS opaque) element is kept as its bytes: no save writes one fresh.
+
+export interface ElementValue {
+  cls: number;
+  complex: boolean;
+  global: boolean;
+  logical: boolean;
+  sparse: boolean;
+  dims: number[];
+  name: string;
+  className?: string;
+  fields?: string[];
+  members?: ElementValue[];
+  re?: string[];
+  im?: string[];
+  text?: number[];
+  ir?: number[];
+  jc?: number[];
+  opaque?: number[];
+}
+
+const MI_INT8 = 1;
+const MI_UINT8 = 2;
+const MI_INT16 = 3;
+const MI_UINT16 = 4;
+const MI_INT32 = 5;
+const MI_UINT32 = 6;
+const MI_SINGLE = 7;
+const MI_DOUBLE = 9;
+const MI_INT64 = 12;
+const MI_UINT64 = 13;
+const MI_MATRIX = 14;
+const MI_UTF8 = 16;
+const MI_UTF16 = 17;
+
+const CELL = 1;
+const STRUCT = 2;
+const OBJECT = 3;
+const CHAR = 4;
+const SPARSE = 5;
+const DOUBLE = 6;
+const SINGLE = 7;
+const INT64 = 14;
+const UINT64 = 15;
+const OPAQUE = 17;
+
+interface Sub {
+  type: number;
+  data: Uint8Array;
+  next: number;
+}
+
+// One data element at `at`: its type, its data, and where the next one starts. The small form
+// packs type and length into one word and its data into the next; the long one pads to 8.
+function subAt(view: DataView, bytes: Uint8Array, at: number): Sub {
+  const word = view.getUint32(at, true);
+  if (word >>> 16) {
+    const n = word >>> 16;
+    return { type: word & 0xffff, data: bytes.subarray(at + 4, at + 4 + n), next: at + 8 };
+  }
+  const n = view.getUint32(at + 4, true);
+  return { type: word, data: bytes.subarray(at + 8, at + 8 + n), next: at + 8 + Math.ceil(n / 8) * 8 };
+}
+
+// What NaN is kept as. A NaN's payload is not compared: this package's reader holds a double as
+// a JavaScript number, and V8 does not promise a NaN's payload through one (it may hand back
+// the canonical NaN), so a payload is not something a save of a value read here can be held to.
+// MATLAB's own arithmetic makes the canonical NaN; a file holding another is MATLAB's own write
+// of a value someone built bit by bit.
+const nan = 'NaN';
+
+function bitsOf64(x: number): string {
+  if (Number.isNaN(x)) {
+    return nan;
+  }
+  const b = new DataView(new ArrayBuffer(8));
+  b.setFloat64(0, x, true);
+  return b.getBigUint64(0, true).toString(16);
+}
+
+function bitsOf32(x: number): string {
+  if (Number.isNaN(x)) {
+    return nan;
+  }
+  const b = new DataView(new ArrayBuffer(4));
+  b.setFloat32(0, x, true);
+  return b.getUint32(0, true).toString(16);
+}
+
+// The elements a data element holds, as numbers, or as bigints for the 64-bit integer types.
+function numbersOf(sub: Sub): (number | bigint)[] {
+  const v = new DataView(sub.data.buffer, sub.data.byteOffset, sub.data.byteLength);
+  const out: (number | bigint)[] = [];
+  const each = (size: number, read: (at: number) => number | bigint) => {
+    for (let at = 0; at + size <= sub.data.byteLength; at += size) {
+      out.push(read(at));
+    }
+  };
+  switch (sub.type) {
+    case MI_INT8:
+      each(1, (at) => v.getInt8(at));
+      break;
+    case MI_UINT8:
+    case MI_UTF8:
+      each(1, (at) => v.getUint8(at));
+      break;
+    case MI_INT16:
+      each(2, (at) => v.getInt16(at, true));
+      break;
+    case MI_UINT16:
+    case MI_UTF16:
+      each(2, (at) => v.getUint16(at, true));
+      break;
+    case MI_INT32:
+      each(4, (at) => v.getInt32(at, true));
+      break;
+    case MI_UINT32:
+      each(4, (at) => v.getUint32(at, true));
+      break;
+    case MI_SINGLE:
+      each(4, (at) => v.getFloat32(at, true));
+      break;
+    case MI_DOUBLE:
+      each(8, (at) => v.getFloat64(at, true));
+      break;
+    case MI_INT64:
+      each(8, (at) => v.getBigInt64(at, true));
+      break;
+    case MI_UINT64:
+      each(8, (at) => v.getBigUint64(at, true));
+      break;
+    default:
+      throw new Error('a numeric part of data type ' + sub.type);
+  }
+  return out;
+}
+
+// A numeric part's elements as its class holds them (see the file header).
+function partOf(sub: Sub, cls: number): string[] {
+  return numbersOf(sub).map((x) => {
+    if (cls === DOUBLE) {
+      return bitsOf64(Number(x));
+    }
+    if (cls === SINGLE) {
+      return bitsOf32(Number(x));
+    }
+    return typeof x === 'bigint' ? x.toString() : cls === INT64 || cls === UINT64 ? BigInt(x).toString() : String(x);
+  });
+}
+
+// A char's UTF-16 code units: miUTF8 decoded, every other type one unit per element.
+function codeUnitsOf(sub: Sub): number[] {
+  if (sub.type === MI_UTF8) {
+    const text = new TextDecoder().decode(sub.data);
+    return Array.from({ length: text.length }, (_, i) => text.charCodeAt(i));
+  }
+  return numbersOf(sub).map(Number);
+}
+
+const textOf = (data: Uint8Array) => new TextDecoder().decode(data).replace(/\0+$/, '');
+
+/** What the miMATRIX element whose tag is at `at` of `bytes` holds (see the file header). */
+export function elementValue(bytes: Uint8Array, at = 0): ElementValue {
+  const view = new DataView(bytes.buffer, bytes.byteOffset, bytes.byteLength);
+  const tag = subAt(view, bytes, at);
+  if (tag.type !== MI_MATRIX) {
+    throw new Error('not a matrix element (data type ' + tag.type + ')');
+  }
+  const end = at + 8 + tag.data.byteLength;
+  let o = at + 8;
+  const next = () => {
+    const s = subAt(view, bytes, o);
+    o = s.next;
+    return s;
+  };
+  const flags = next();
+  const cls = flags.data[0];
+  const out: ElementValue = {
+    cls,
+    complex: (flags.data[1] & 0x08) !== 0,
+    global: (flags.data[1] & 0x04) !== 0,
+    logical: (flags.data[1] & 0x02) !== 0,
+    // Class 5, or the sparse bit, which is all a sparse single has (MatWriter.encodeSparse).
+    sparse: cls === SPARSE || (flags.data[1] & 0x10) !== 0,
+    dims: [],
+    name: '',
+  };
+  if (cls === OPAQUE) {
+    out.opaque = Array.from(bytes.subarray(at, end));
+    return out;
+  }
+  const dims = next();
+  const dv = new DataView(dims.data.buffer, dims.data.byteOffset, dims.data.byteLength);
+  for (let i = 0; i + 4 <= dims.data.byteLength; i += 4) {
+    out.dims.push(dv.getInt32(i, true));
+  }
+  out.name = textOf(next().data);
+  const n = out.dims.reduce((a, b) => a * b, 1);
+  const members = (count: number) => {
+    const list: ElementValue[] = [];
+    for (let i = 0; i < count && o < end; i++) {
+      list.push(elementValue(bytes, o));
+      o = subAt(view, bytes, o).next;
+    }
+    return list;
+  };
+  if (cls === CELL) {
+    out.members = members(n);
+  } else if (cls === STRUCT || cls === OBJECT) {
+    if (cls === OBJECT) {
+      out.className = textOf(next().data);
+    }
+    const stride = next();
+    const len = new DataView(stride.data.buffer, stride.data.byteOffset, 4).getInt32(0, true);
+    const names = next();
+    out.fields = [];
+    for (let i = 0; len > 0 && i < names.data.byteLength; i += len) {
+      out.fields.push(textOf(names.data.subarray(i, i + len)));
+    }
+    out.members = members(n * out.fields.length);
+  } else if (cls === CHAR) {
+    out.text = o < end ? codeUnitsOf(next()) : [];
+  } else if (out.sparse) {
+    out.ir = numbersOf(next()).map(Number);
+    out.jc = numbersOf(next()).map(Number);
+    // A logical's non-zeros as the numbers they are, a double's and a single's as their bits.
+    const sparseCls = out.logical ? 9 : cls === SPARSE ? DOUBLE : cls;
+    out.re = o < end ? partOf(next(), sparseCls) : [];
+    if (out.complex) {
+      out.im = o < end ? partOf(next(), sparseCls) : [];
+    }
+  } else {
+    out.re = o < end ? partOf(next(), cls) : [];
+    if (out.complex) {
+      out.im = o < end ? partOf(next(), cls) : [];
+    }
+  }
+  return out;
+}
+
+/**
+ * The first difference between two element values, as a path and what differs, or null when
+ * they are the same value. The element's own name is not compared: a top-level variable's is its
+ * record's, which the caller asks after; every member's is empty.
+ */
+export function elementDifference(was: ElementValue, is: ElementValue, at = ''): string | null {
+  const said = (what: string, a: unknown, b: unknown) => (at || 'the value') + ': ' + what + ' ' + JSON.stringify(a) + ' read, ' + JSON.stringify(b) + ' written';
+  for (const key of ['cls', 'complex', 'global', 'logical', 'sparse', 'className'] as const) {
+    if (was[key] !== is[key]) {
+      return said(key, was[key], is[key]);
+    }
+  }
+  if (was.dims.join('x') !== is.dims.join('x')) {
+    return said('dims', was.dims, is.dims);
+  }
+  for (const key of ['fields', 're', 'im', 'text', 'ir', 'jc', 'opaque'] as const) {
+    if (JSON.stringify(was[key]) !== JSON.stringify(is[key])) {
+      return said(key, was[key], is[key]);
+    }
+  }
+  const a = was.members ?? [];
+  const b = is.members ?? [];
+  if (a.length !== b.length) {
+    return said('member count', a.length, b.length);
+  }
+  const fields = was.fields;
+  const n = was.dims.reduce((x, y) => x * y, 1);
+  for (let i = 0; i < a.length; i++) {
+    const where = fields
+      ? at + (n === 1 ? '' : '(' + (Math.floor(i / fields.length) + 1) + ')') + '.' + fields[i % fields.length]
+      : at + '{' + (i + 1) + '}';
+    const d = elementDifference(a[i], b[i], where);
+    if (d) {
+      return d;
+    }
+  }
+  return null;
+}
diff --git a/test/unbackedBudgetVenues.test.ts b/test/unbackedBudgetVenues.test.ts
index bb05bd0a..2d1be9c6 100644
--- a/test/unbackedBudgetVenues.test.ts
+++ b/test/unbackedBudgetVenues.test.ts
@@ -25,11 +25,13 @@ const HEAVY_TIMEOUT = 60_000;
 
 describe('within the budget, a sparse array stays sparse wherever it goes', () => {
   it('a host\'s 1x2e6 with three entries, 8 MB of index no data backs', { timeout: HEAVY_TIMEOUT }, () => {
+    // Each row its non-zero. None takes an edit: a host's parse carries no records, and a file
+    // opened without them is one no save can write (MatNode._fileRefusal).
     const h = hostMat(sparseHost([1, 2e6], [0, 0, 0], [0, 1e6, 2e6 - 1], [1, 2, 3]));
     expect(h.children.map((c: any) => [c.displayName, c.valueEditable])).toEqual([
-      ['h(1,1)', true],
-      ['h(1,1000001)', true],
-      ['h(1,2000000)', true],
+      ['h(1,1)', false],
+      ['h(1,1000001)', false],
+      ['h(1,2000000)', false],
     ]);
     const [copied, ms] = timed(() => copyOf(h) as any);
     expect([copied._type, ms < 3000]).toEqual(['cdata', true]);
diff --git a/test/unmodelledClassVariable.test.ts b/test/unmodelledClassVariable.test.ts
index 2643f862..e44576ed 100644
--- a/test/unmodelledClassVariable.test.ts
+++ b/test/unmodelledClassVariable.test.ts
@@ -309,9 +309,12 @@ describe('a real value of a class the reader does not model is shown as not deco
     const s = structVar('s', ['a', 'b'], [{ a: damagedReal('', 0x12), b: five() }]);
     const mat = openedMat('nested.mat', [ok(), c, s, tail()]);
     // Before: c was `{null, 5}` with an editor, and c{1} and s.a each `null`, editable, of class unknown.
+    // The 5 beside each is as read, and takes no edit: a save of the file writes c and s fresh or
+    // not at all, and has nothing to write the element it did not decode from (MatNode._editRefusal).
     const [, cRow, sRow] = mat.children.map(row);
-    expect(cRow).toEqual(['c', '{<1x1 unknown, not decoded>, 5}', 'cell', false, [notDecoded('1', '1x1', 'unknown'), fiveRow('2')]]);
-    expect(sRow).toEqual(['s', '<1x1 struct>', 'struct', false, [notDecoded('a', '1x1', 'unknown'), fiveRow('b')]]);
+    const readOnlyFive = (name: string) => [name, '5', 'double', false, []];
+    expect(cRow).toEqual(['c', '{<1x1 unknown, not decoded>, 5}', 'cell', false, [notDecoded('1', '1x1', 'unknown'), readOnlyFive('2')]]);
+    expect(sRow).toEqual(['s', '<1x1 struct>', 'struct', false, [notDecoded('a', '1x1', 'unknown'), readOnlyFive('b')]]);
     // The reader's warning names the element; it is the only one.
     expect(mat.warnings).toEqual([notModelled('c{1}'), notModelled('s.a')]);
     const [, cNode, sNode] = mat.children;