{
  "software": "apple-numbers",
  "function": "CSCH",
  "native_application_execution": false,
  "checked_date": "2026-10-12",
  "method": "Independent mathematical/text-processing models, not Apple Numbers or Zoho Sheet execution; random tests check documented bounds/transforms, not randomness.",
  "official_function_reference": "https://support.apple.com/guide/functions/csch-f1629946e5/15.4/web/1.0",
  "passed": 8,
  "total": 8,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B2)",
      "variables": {
        "B2": -5
      },
      "expected": -0.013477,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B3)",
      "variables": {
        "B3": -2
      },
      "expected": -0.275721,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B4)",
      "variables": {
        "B4": -1
      },
      "expected": -0.850918,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B5)",
      "variables": {
        "B5": -0.5
      },
      "expected": -1.919035,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B6)",
      "variables": {
        "B6": 0.5
      },
      "expected": 1.919035,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B7)",
      "variables": {
        "B7": 1
      },
      "expected": 0.850918,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B8)",
      "variables": {
        "B8": 2
      },
      "expected": 0.275721,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B9)",
      "variables": {
        "B9": 5
      },
      "expected": 0.013477,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    }
  ],
  "independent_results": [
    {
      "case": 148,
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B2)",
      "actual_independent_model": -0.013476505830589089,
      "expected": -0.013477,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 149,
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B3)",
      "actual_independent_model": -0.2757205647717832,
      "expected": -0.275721,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 150,
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B4)",
      "actual_independent_model": -0.8509181282393216,
      "expected": -0.850918,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 151,
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B5)",
      "actual_independent_model": -1.9190347513349437,
      "expected": -1.919035,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 152,
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B6)",
      "actual_independent_model": 1.9190347513349437,
      "expected": 1.919035,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 153,
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B7)",
      "actual_independent_model": 0.8509181282393216,
      "expected": 0.850918,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 154,
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B8)",
      "actual_independent_model": 0.2757205647717832,
      "expected": 0.275721,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 155,
      "software": "apple-numbers",
      "function": "CSCH",
      "expression": "=CSCH(B9)",
      "actual_independent_model": 0.013476505830589089,
      "expected": 0.013477,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    }
  ]
}