{
  "software": "gnumeric",
  "function": "CSCH",
  "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": 8,
  "total": 8,
  "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-CSCH",
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/sect-data-types.html",
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/sect-configuration-localization.html",
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/CATEGORY_Mathematics.html",
    "https://support.microsoft.com/en-us/excel/functions/csch-function"
  ],
  "examples": [
    {
      "case_id": 141,
      "software": "gnumeric",
      "function": "CSCH",
      "source_path": "content/gnumeric/functions/csch.md",
      "formula": "=CSCH(0.5)",
      "operation": "csch",
      "args": [
        0.5
      ],
      "expected": 1.91903475,
      "native_executed": false,
      "model_result": 1.9190347513349437,
      "passed": true
    },
    {
      "case_id": 142,
      "software": "gnumeric",
      "function": "CSCH",
      "source_path": "content/gnumeric/functions/csch.md",
      "formula": "=CSCH(1)",
      "operation": "csch",
      "args": [
        1
      ],
      "expected": 0.85091813,
      "native_executed": false,
      "model_result": 0.8509181282393216,
      "passed": true
    },
    {
      "case_id": 143,
      "software": "gnumeric",
      "function": "CSCH",
      "source_path": "content/gnumeric/functions/csch.md",
      "formula": "=CSCH(2)",
      "operation": "csch",
      "args": [
        2
      ],
      "expected": 0.27572056,
      "native_executed": false,
      "model_result": 0.2757205647717832,
      "passed": true
    },
    {
      "case_id": 144,
      "software": "gnumeric",
      "function": "CSCH",
      "source_path": "content/gnumeric/functions/csch.md",
      "formula": "=CSCH(-0.5)",
      "operation": "csch",
      "args": [
        -0.5
      ],
      "expected": -1.91903475,
      "native_executed": false,
      "model_result": -1.9190347513349437,
      "passed": true
    },
    {
      "case_id": 145,
      "software": "gnumeric",
      "function": "CSCH",
      "source_path": "content/gnumeric/functions/csch.md",
      "formula": "=CSCH(-1)",
      "operation": "csch",
      "args": [
        -1
      ],
      "expected": -0.85091813,
      "native_executed": false,
      "model_result": -0.8509181282393216,
      "passed": true
    },
    {
      "case_id": 146,
      "software": "gnumeric",
      "function": "CSCH",
      "source_path": "content/gnumeric/functions/csch.md",
      "formula": "=CSCH(-2)",
      "operation": "csch",
      "args": [
        -2
      ],
      "expected": -0.27572056,
      "native_executed": false,
      "model_result": -0.2757205647717832,
      "passed": true
    },
    {
      "case_id": 147,
      "software": "gnumeric",
      "function": "CSCH",
      "source_path": "content/gnumeric/functions/csch.md",
      "formula": "=1/SINH(1)",
      "operation": "csch",
      "args": [
        1
      ],
      "expected": 0.85091813,
      "native_executed": false,
      "model_result": 0.8509181282393216,
      "passed": true
    },
    {
      "case_id": 148,
      "software": "gnumeric",
      "function": "CSCH",
      "source_path": "content/gnumeric/functions/csch.md",
      "formula": "=CSCH(3)",
      "operation": "csch",
      "args": [
        3
      ],
      "expected": 0.09982157,
      "native_executed": false,
      "model_result": 0.09982156966882273,
      "passed": true
    }
  ]
}