A worksheet carries a cell whose <f> element has @t='array' and an @ref covering a spill range. Two cases exercise the Excel 365 dynamic-array anchor (=SEQUENCE(5) spilling A1:A5) and the legacy Ctrl-Shift-Enter CSE array form (={A1:A5*B1:B5} over C1:C5).
Library verdicts: python-xlsx: — xlsxjs: —
| Feature id | xlsx/array-formula--matrix-array-formula |
|---|---|
| Format | xlsx |
| Category | formulas |
| Family | xlsx/array-formula |
| Axis values | case=matrix-array-formula |
| Spec | ecma-376-5-part-1 § 18.3.1.40 f |
| ID / part | Predicate | XPath | python-xlsx | xlsxjs |
|---|---|---|---|---|
array-formula-ref-matrix-array-formulaxl/worksheets/sheet1.xml | equal = C1:C5The array-formula anchor cell's <f t='array'> element must carry @ref equal to the expected spill range. | //x:c[@r='C1']/x:f[@t='array']/@ref | — | — |
No render assertions declared.
scripts/gen_array_formula.py
#!/usr/bin/env python3
"""Generate ``fixtures/xlsx/array-formula--<case>.xlsx`` fixtures.
Parameterised generator for the ``xlsx/array-formula`` manifest. Two
cases exercise the two shapes python-xlsx models via
:class:`xlsx.packaging.metadata.ArrayFormula`:
- ``row-array-formula`` — Excel-365 dynamic-array anchor
``=SEQUENCE(5)`` in A1, spilling A1:A5 (is_dynamic=True, cm='1' marker
on the anchor cell).
- ``matrix-array-formula`` — legacy Ctrl-Shift-Enter CSE form
``{=A1:A5*B1:B5}`` in C1, covering C1:C5 (is_dynamic=False, no cm
marker).
Both emit a cell whose <f t='array' ref='<spill>'> child carries the
expected spill range.
"""
from __future__ import annotations
import argparse
import datetime as _dt
from pathlib import Path
from xlsx import Workbook
from xlsx.packaging.metadata import ArrayFormula
_REPRODUCIBLE_DT = _dt.datetime(2000, 1, 1, 0, 0, 0)
_REPO_ROOT = Path(__file__).resolve().parent.parent
def main() -> int:
parser = argparse.ArgumentParser()
parser.add_argument("--case", required=True,
choices=("row-array-formula",
"matrix-array-formula"))
parser.add_argument("--out", required=True)
args = parser.parse_args()
out_path = Path(args.out)
if not out_path.is_absolute():
out_path = _REPO_ROOT / out_path
wb = Workbook()
ws = wb.active
ws.title = "Sheet1"
if args.case == "row-array-formula":
# Excel-365 dynamic-array anchor. SEQUENCE is a dynamic-array
# function; python-xlsx rewrites it as _xlfn.SEQUENCE to hint
# to pre-365 readers that the formula yields an array.
ws["A1"] = ArrayFormula(formula="=SEQUENCE(5)",
spill_range="A1:A5",
is_dynamic=True)
else:
# Legacy CSE array: {=A1:A5*B1:B5} over C1:C5. Seed the two
# operand columns with plain numbers so the fixture is also a
# meaningful round-trip for a renderer that evaluates formulas.
for i in range(1, 6):
ws.cell(row=i, column=1, value=i)
ws.cell(row=i, column=2, value=i * 2)
ws["C1"] = ArrayFormula(formula="=A1:A5*B1:B5",
spill_range="C1:C5",
is_dynamic=False)
out_path.parent.mkdir(parents=True, exist_ok=True)
wb.save(out_path, zip_date_time=_REPRODUCIBLE_DT)
print(out_path)
return 0
if __name__ == "__main__":
raise SystemExit(main())
{
"$schema": "../manifest.schema.json",
"id": "xlsx/array-formula--matrix-array-formula",
"kind": "literal",
"title": "Array formulas — dynamic-array spill and legacy CSE",
"format": "xlsx",
"category": "formulas",
"summary": "A worksheet carries a cell whose <f> element has @t='array' and an @ref covering a spill range. Two cases exercise the Excel 365 dynamic-array anchor (=SEQUENCE(5) spilling A1:A5) and the legacy Ctrl-Shift-Enter CSE array form (={A1:A5*B1:B5} over C1:C5).",
"spec": {
"source": "ecma-376-5-part-1",
"clause": "18.3.1.40",
"element": "f",
"rnc_reference": "spec/ecma-376-5/part-1/rnc/SpreadsheetML.rnc",
"xsd_reference": "spec/ecma-376-5/part-1/xsd/sml.xsd",
"notes": "A cell formula carrying an array result uses <f t='array' ref='<spill-range>'>, where @ref is the cell-range the array spills into. python-xlsx models both shapes via xlsx.packaging.metadata.ArrayFormula: is_dynamic=True (default) produces an Excel-365 dynamic-array anchor with the <c cm='1'> marker, and is_dynamic=False produces a traditional CSE array without the cm marker. Both shapes emit identical <f t='array' @ref> structure; the presence of cm='1' on the parent cell is the differentiator. SEQUENCE is a dynamic-array-only function (it's serialised as _xlfn.SEQUENCE to preserve compatibility with pre-365 readers). SpreadsheetML parts use a default namespace with no prefix; XPath binds 'x'."
},
"fixtures": {
"machine": "xlsx/array-formula--matrix-array-formula"
},
"generator": {
"python": "scripts/gen_array_formula.py",
"arg_template": "--case {case.id} --out fixtures/xlsx/array-formula--{case.id}.xlsx"
},
"_expansion": {
"parent_id": "xlsx/array-formula",
"bindings": {
"case": "matrix-array-formula"
}
},
"assertions": [
{
"id": "array-formula-ref-matrix-array-formula",
"part": "xl/worksheets/sheet1.xml",
"namespaces": {
"x": "http://schemas.openxmlformats.org/spreadsheetml/2006/main"
},
"xpath": "//x:c[@r='C1']/x:f[@t='array']/@ref",
"must": "equal",
"value": "C1:C5",
"description": "The array-formula anchor cell's <f t='array'> element must carry @ref equal to the expected spill range."
}
]
}
No rendered reference is available for this case.