{
  "software": "gnumeric",
  "function": "ACOTH",
  "review_date": "2026-10-12",
  "validation_method": "Independent Python numeric and limited database-criteria models; not a native application or a general spreadsheet parser. Error tokens model documented rules only.",
  "native_application_execution": false,
  "hugo_compiled": false,
  "passed": 6,
  "total": 6,
  "scope": "Explicit examples only, not every input or application version. Expected error tokens are documented rules, not observed native error outputs.",
  "official_references": [
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/CATEGORY_Mathematics.html#gnumeric-function-ACOTH",
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/CATEGORY_Mathematics.html#gnumeric-function-ATANH",
    "https://support.microsoft.com/en-us/excel/functions/acoth-function",
    "https://gnome.pages.gitlab.gnome.org/gnumeric-web/functions.shtml",
    "https://github.com/GNOME/gnumeric/blob/GNUMERIC_1_12_62/src/sf-trig.c"
  ],
  "examples": [
    {
      "case_id": 120,
      "software": "gnumeric",
      "function": "ACOTH",
      "source_path": "content/gnumeric/functions/acoth.md",
      "formula": "=ACOTH(A2)",
      "operation": "acoth",
      "args": [
        -4
      ],
      "expected": -0.255412812,
      "native_executed": false,
      "model_result": -0.25541281188299536,
      "passed": true
    },
    {
      "case_id": 121,
      "software": "gnumeric",
      "function": "ACOTH",
      "source_path": "content/gnumeric/functions/acoth.md",
      "formula": "=ACOTH(A3)",
      "operation": "acoth",
      "args": [
        -2
      ],
      "expected": -0.549306144,
      "native_executed": false,
      "model_result": -0.5493061443340548,
      "passed": true
    },
    {
      "case_id": 122,
      "software": "gnumeric",
      "function": "ACOTH",
      "source_path": "content/gnumeric/functions/acoth.md",
      "formula": "=ACOTH(A4)",
      "operation": "acoth",
      "args": [
        2
      ],
      "expected": 0.549306144,
      "native_executed": false,
      "model_result": 0.5493061443340548,
      "passed": true
    },
    {
      "case_id": 123,
      "software": "gnumeric",
      "function": "ACOTH",
      "source_path": "content/gnumeric/functions/acoth.md",
      "formula": "=ACOTH(A5)",
      "operation": "acoth",
      "args": [
        3
      ],
      "expected": 0.34657359,
      "native_executed": false,
      "model_result": 0.34657359027997264,
      "passed": true
    },
    {
      "case_id": 124,
      "software": "gnumeric",
      "function": "ACOTH",
      "source_path": "content/gnumeric/functions/acoth.md",
      "formula": "=ACOTH(A6)",
      "operation": "acoth",
      "args": [
        4
      ],
      "expected": 0.255412812,
      "native_executed": false,
      "model_result": 0.25541281188299536,
      "passed": true
    },
    {
      "case_id": 125,
      "software": "gnumeric",
      "function": "ACOTH",
      "source_path": "content/gnumeric/functions/acoth.md",
      "formula": "=B10*ACOTH(A10)",
      "operation": "acoth",
      "args": [
        2.5
      ],
      "expected": 1.694595721,
      "native_executed": false,
      "multiplier": 4,
      "model_result": 1.6945957207744073,
      "passed": true
    }
  ]
}