{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://www.calculatorx.com/schemas/math.sum/1.0.2/output.json",
  "title": "Sum / addition — success output",
  "type": "object",
  "additionalProperties": false,
  "required": [
    "status",
    "capability_id",
    "engine",
    "inputs",
    "result",
    "result_detail",
    "calculation_version",
    "verification"
  ],
  "properties": {
    "id": {
      "type": "string",
      "description": "Requested tool id"
    },
    "status": {
      "const": "success"
    },
    "capability_id": {
      "const": "math.sum"
    },
    "tool": {
      "type": "string",
      "description": "Requested tool id"
    },
    "engine": {
      "type": "string"
    },
    "inputs": {
      "type": "object",
      "description": "Normalized calculation inputs (aliases resolved)"
    },
    "result": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "value",
        "sum"
      ],
      "properties": {
        "value": {
          "type": "number"
        },
        "sum": {
          "type": "number"
        },
        "mode": {
          "type": "string"
        },
        "count": {
          "type": "integer"
        },
        "algorithm": {
          "type": "string"
        },
        "mean": {
          "type": [
            "number",
            "null"
          ],
          "description": "JSON binary64 of Sum/n. Not claimed exact; see mean_numeric_approximate."
        },
        "mean_rational_exact": {
          "type": "boolean",
          "description": "true when mean_num/mean_den is an exact rational mean (exact-decimal algorithm)."
        },
        "mean_numeric_approximate": {
          "type": "boolean",
          "description": "true when the JSON mean number or displayed mean must not be treated as exact."
        },
        "mean_exact": {
          "type": "boolean",
          "description": "Compatibility alias of mean_rational_exact (exact rational source). Does not mean the JSON mean number is exact. Prefer mean_rational_exact and mean_numeric_approximate."
        },
        "chart": {
          "type": [
            "array",
            "null"
          ],
          "items": {
            "type": "number"
          },
          "description": "Running totals for visualization. Last point matches published sum when chart_model is exact-decimal."
        },
        "chart_model": {
          "type": "string",
          "enum": [
            "exact-decimal",
            "binary64"
          ],
          "description": "Numeric model of chart[]. exact-decimal: Number(exact prefix sumStr). binary64: IEEE-754 visualization only (scientific-notation lists)."
        }
      }
    },
    "result_detail": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "value",
        "unit",
        "formatted"
      ],
      "properties": {
        "value": {
          "type": "object",
          "additionalProperties": false,
          "required": [
            "value",
            "sum"
          ],
          "properties": {
            "value": {
              "type": "number"
            },
            "sum": {
              "type": "number"
            },
            "mode": {
              "type": "string"
            },
            "count": {
              "type": "integer"
            },
            "algorithm": {
              "type": "string"
            },
            "mean": {
              "type": [
                "number",
                "null"
              ],
              "description": "JSON binary64 of Sum/n. Not claimed exact; see mean_numeric_approximate."
            },
            "mean_rational_exact": {
              "type": "boolean",
              "description": "true when mean_num/mean_den is an exact rational mean (exact-decimal algorithm)."
            },
            "mean_numeric_approximate": {
              "type": "boolean",
              "description": "true when the JSON mean number or displayed mean must not be treated as exact."
            },
            "mean_exact": {
              "type": "boolean",
              "description": "Compatibility alias of mean_rational_exact (exact rational source). Does not mean the JSON mean number is exact. Prefer mean_rational_exact and mean_numeric_approximate."
            },
            "chart": {
              "type": [
                "array",
                "null"
              ],
              "items": {
                "type": "number"
              },
              "description": "Running totals for visualization. Last point matches published sum when chart_model is exact-decimal."
            },
            "chart_model": {
              "type": "string",
              "enum": [
                "exact-decimal",
                "binary64"
              ],
              "description": "Numeric model of chart[]. exact-decimal: Number(exact prefix sumStr). binary64: IEEE-754 visualization only (scientific-notation lists)."
            }
          }
        },
        "unit": {
          "type": [
            "string",
            "null"
          ]
        },
        "formatted": {
          "type": [
            "string",
            "null"
          ]
        }
      }
    },
    "formula": {
      "anyOf": [
        {
          "type": "null"
        },
        {
          "type": "string"
        },
        {
          "type": "object",
          "additionalProperties": false,
          "properties": {
            "id": {
              "type": "string"
            },
            "expression": {
              "type": "string"
            },
            "label": {
              "type": "string"
            }
          }
        }
      ]
    },
    "assumptions": {
      "type": "array",
      "items": {
        "type": "string"
      }
    },
    "warnings": {
      "type": "array",
      "items": {
        "type": "object",
        "additionalProperties": false,
        "required": [
          "code"
        ],
        "properties": {
          "code": {
            "type": "string"
          },
          "severity": {
            "type": "string"
          },
          "detail": {
            "type": "string"
          },
          "suggestion": {
            "type": "string"
          }
        }
      }
    },
    "verification": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "tier",
        "engine_tested",
        "expert_reviewed",
        "source_checked",
        "reviewed_by",
        "reviewer_role",
        "last_reviewed"
      ],
      "properties": {
        "tier": {
          "type": "string",
          "enum": [
            "candidate",
            "engine_tested",
            "internally_reviewed",
            "expert_verified"
          ]
        },
        "engine_tested": {
          "type": "boolean"
        },
        "expert_reviewed": {
          "type": "boolean"
        },
        "internally_reviewed": {
          "type": "boolean"
        },
        "review_kind": {
          "type": [
            "string",
            "null"
          ]
        },
        "source_checked": {
          "type": "boolean"
        },
        "reviewed_by": {
          "type": [
            "string",
            "null"
          ]
        },
        "reviewer_role": {
          "type": [
            "string",
            "null"
          ]
        },
        "last_reviewed": {
          "type": [
            "string",
            "null"
          ]
        }
      },
      "allOf": [
        {
          "if": {
            "properties": {
              "tier": {
                "const": "expert_verified"
              }
            },
            "required": [
              "tier"
            ]
          },
          "then": {
            "properties": {
              "engine_tested": {
                "const": true
              },
              "expert_reviewed": {
                "const": true
              },
              "source_checked": {
                "const": true
              },
              "reviewed_by": {
                "type": "string",
                "minLength": 1
              },
              "reviewer_role": {
                "type": "string",
                "minLength": 1
              },
              "last_reviewed": {
                "type": "string",
                "minLength": 1
              }
            }
          }
        },
        {
          "if": {
            "properties": {
              "tier": {
                "const": "internally_reviewed"
              }
            },
            "required": [
              "tier"
            ]
          },
          "then": {
            "properties": {
              "engine_tested": {
                "const": true
              },
              "internally_reviewed": {
                "const": true
              },
              "source_checked": {
                "const": true
              }
            }
          }
        },
        {
          "if": {
            "properties": {
              "tier": {
                "const": "engine_tested"
              }
            },
            "required": [
              "tier"
            ]
          },
          "then": {
            "properties": {
              "engine_tested": {
                "const": true
              }
            }
          }
        }
      ]
    },
    "calculation_version": {
      "type": "string",
      "const": "1.0.2"
    },
    "api_version": {
      "type": "string"
    },
    "api_contract_version": {
      "type": "string"
    },
    "spec_version": {
      "type": "string"
    },
    "page": {
      "type": [
        "string",
        "null"
      ],
      "description": "Canonical calculator page URL"
    },
    "links": {
      "type": "object",
      "additionalProperties": false,
      "properties": {
        "schema_input": {
          "type": "string",
          "format": "uri"
        },
        "schema_output": {
          "type": "string",
          "format": "uri"
        },
        "evidence": {
          "type": "string",
          "format": "uri"
        },
        "openapi": {
          "type": "string",
          "format": "uri"
        },
        "capabilities": {
          "type": "string",
          "format": "uri"
        },
        "mcp": {
          "type": "string",
          "format": "uri"
        }
      }
    }
  }
}