{
  "software": "apple-numbers",
  "function": "ODD",
  "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/odd-ffa58b6c37/15.4/web/1.0",
  "passed": 10,
  "total": 10,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B2)",
      "variables": {
        "B2": -3.2
      },
      "expected": -5,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B3)",
      "variables": {
        "B3": -3.0
      },
      "expected": -3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B4)",
      "variables": {
        "B4": -2.0
      },
      "expected": -3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B5)",
      "variables": {
        "B5": -0.1
      },
      "expected": -1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B6)",
      "variables": {
        "B6": 0.0
      },
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B7)",
      "variables": {
        "B7": 0.1
      },
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B8)",
      "variables": {
        "B8": 1.0
      },
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B9)",
      "variables": {
        "B9": 2.0
      },
      "expected": 3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B10)",
      "variables": {
        "B10": 2.5
      },
      "expected": 3,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B11)",
      "variables": {
        "B11": 3.2
      },
      "expected": 5,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 229,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B2)",
      "actual_independent_model": -5,
      "expected": -5,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 230,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B3)",
      "actual_independent_model": -3,
      "expected": -3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 231,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B4)",
      "actual_independent_model": -3,
      "expected": -3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 232,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B5)",
      "actual_independent_model": -1,
      "expected": -1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 233,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B6)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 234,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B7)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 235,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B8)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 236,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B9)",
      "actual_independent_model": 3,
      "expected": 3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 237,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B10)",
      "actual_independent_model": 3,
      "expected": 3,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 238,
      "software": "apple-numbers",
      "function": "ODD",
      "expression": "=ODD(B11)",
      "actual_independent_model": 5,
      "expected": 5,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}