{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://www.calculatorx.com/schemas/math.arccos/1.1.0/input.json",
  "title": "Arccosine — input",
  "type": "object",
  "additionalProperties": false,
  "anyOf": [
    {
      "required": [
        "x"
      ]
    },
    {
      "required": [
        "xInput"
      ]
    }
  ],
  "properties": {
    "x": {
      "anyOf": [
        {
          "type": "number",
          "minimum": -1,
          "maximum": 1
        },
        {
          "type": "string",
          "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$",
          "description": "Decimal text (optional sign, exponent or en-US thousands groups). Semantic validation rejects non-finite conversion, nonzero-to-zero underflow and values outside the numerical domain."
        }
      ],
      "x-unit": "1",
      "x-unit-id": "cx:one",
      "x-quantity-kind": "ratio",
      "x-role": "scalar",
      "x-dimension": [
        0,
        0,
        0,
        0,
        0,
        0,
        0
      ],
      "x-uuce-unit": {
        "unit_id": "cx:one",
        "revision": "1.0.0",
        "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599",
        "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5",
        "quantity_kind": "ratio",
        "dimension": [
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "registry_version": "0.3.0-preview.3",
        "digest_contract": "calculatorx-unit-definition-digests-v2",
        "registry_status": "preview",
        "definition_lifecycle": "candidate",
        "role": "scalar"
      }
    },
    "xInput": {
      "anyOf": [
        {
          "type": "number",
          "minimum": -1,
          "maximum": 1
        },
        {
          "type": "string",
          "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$",
          "description": "Decimal text (optional sign, exponent or en-US thousands groups). Semantic validation rejects non-finite conversion, nonzero-to-zero underflow and values outside the numerical domain."
        }
      ],
      "description": "Alias for x. If both fields are supplied their normalized values must agree.",
      "x-unit": "1",
      "x-unit-id": "cx:one",
      "x-quantity-kind": "ratio",
      "x-role": "scalar",
      "x-dimension": [
        0,
        0,
        0,
        0,
        0,
        0,
        0
      ],
      "x-uuce-unit": {
        "unit_id": "cx:one",
        "revision": "1.0.0",
        "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599",
        "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5",
        "quantity_kind": "ratio",
        "dimension": [
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "registry_version": "0.3.0-preview.3",
        "digest_contract": "calculatorx-unit-definition-digests-v2",
        "registry_status": "preview",
        "definition_lifecycle": "candidate",
        "role": "scalar"
      }
    }
  },
  "$defs": {
    "normalized": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "x"
      ],
      "properties": {
        "x": {
          "type": "number",
          "minimum": -1,
          "maximum": 1,
          "x-unit": "1",
          "x-unit-id": "cx:one",
          "x-quantity-kind": "ratio",
          "x-role": "scalar",
          "x-dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "x-uuce-unit": {
            "unit_id": "cx:one",
            "revision": "1.0.0",
            "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599",
            "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5",
            "quantity_kind": "ratio",
            "dimension": [
              0,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "registry_version": "0.3.0-preview.3",
            "digest_contract": "calculatorx-unit-definition-digests-v2",
            "registry_status": "preview",
            "definition_lifecycle": "candidate",
            "role": "scalar"
          }
        }
      }
    }
  },
  "description": "Raw calculation inputs: provide x or xInput. JSON numbers and decimal strings are accepted. Strings normalize to binary64; conversion underflow is NUMERIC_UNDERFLOW, overflow/invalid syntax is INVALID_NUMBER, domain violation is NOT_REAL. Unknown fields are UNKNOWN_INPUT; conflicting aliases are AMBIGUOUS_INPUT. Normalized response inputs follow #/$defs/normalized. Version pin belongs in the request envelope. (calculation_version 1.1.0)",
  "x-unit-contract": {
    "protocol": "calculatorx-field-unit-contract-v1",
    "capability_id": "math.arccos",
    "registry_version": "0.3.0-preview.3",
    "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.",
    "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.",
    "inputs": {
      "x": {
        "unit": "1",
        "reference": {
          "unit_id": "cx:one",
          "revision": "1.0.0",
          "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599",
          "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5",
          "quantity_kind": "ratio",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "xInput": {
        "unit": "1",
        "reference": {
          "unit_id": "cx:one",
          "revision": "1.0.0",
          "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599",
          "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5",
          "quantity_kind": "ratio",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      }
    },
    "outputs": {
      "deg": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "hint.deg": {
        "unit": "deg",
        "reference": {
          "unit_id": "cx:deg",
          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
          "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "rad": {
        "unit": "rad",
        "reference": {
          "unit_id": "cx:rad",
          "revision": "1.0.0",
          "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e",
          "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "hint.rad": {
        "unit": "rad",
        "reference": {
          "unit_id": "cx:rad",
          "revision": "1.0.0",
          "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e",
          "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad",
          "quantity_kind": "plane_angle",
          "dimension": [
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      }
    }
  }
}