{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://www.calculatorx.com/schemas/math.numerical.interpolate/1.1.6/output.json",
  "title": "Numerical interpolation — 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.numerical.interpolate"
    },
    "tool": {
      "type": "string",
      "description": "Requested tool id"
    },
    "engine": {
      "type": "string"
    },
    "inputs": {
      "type": "object",
      "description": "Normalized calculation inputs (aliases resolved)"
    },
    "result": {
      "type": "object",
      "properties": {
        "method": {
          "enum": [
            "linear",
            "lagrange",
            "spline"
          ]
        },
        "x": {
          "type": "number"
        },
        "y": {
          "type": "number"
        },
        "n": {
          "type": "integer",
          "minimum": 2,
          "maximum": 100
        },
        "x_min": {
          "type": "number"
        },
        "x_max": {
          "type": "number"
        },
        "in_range": {
          "type": "boolean"
        },
        "extrapolated": {
          "type": "boolean"
        },
        "formula": {
          "type": "string"
        },
        "interval": {
          "type": "array",
          "items": {
            "type": "number"
          },
          "minItems": 2,
          "maxItems": 2
        },
        "points": {
          "type": "array",
          "items": {
            "type": "object",
            "properties": {
              "x": {
                "type": "number"
              },
              "y": {
                "type": "number"
              }
            },
            "required": [
              "x",
              "y"
            ],
            "additionalProperties": false
          },
          "minItems": 2,
          "maxItems": 100
        }
      },
      "required": [
        "method",
        "x",
        "y",
        "n",
        "x_min",
        "x_max",
        "in_range",
        "extrapolated",
        "formula",
        "points"
      ],
      "additionalProperties": false,
      "allOf": [
        {
          "if": {
            "properties": {
              "method": {
                "const": "linear"
              }
            },
            "required": [
              "method"
            ]
          },
          "then": {
            "required": [
              "interval"
            ]
          },
          "else": {
            "not": {
              "required": [
                "interval"
              ]
            }
          }
        },
        {
          "if": {
            "properties": {
              "method": {
                "const": "lagrange"
              }
            },
            "required": [
              "method"
            ]
          },
          "then": {
            "properties": {
              "n": {
                "maximum": 9
              },
              "points": {
                "maxItems": 9
              }
            }
          }
        }
      ]
    },
    "result_detail": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "value",
        "unit",
        "formatted"
      ],
      "properties": {
        "value": {
          "type": "object",
          "properties": {
            "method": {
              "enum": [
                "linear",
                "lagrange",
                "spline"
              ]
            },
            "x": {
              "type": "number"
            },
            "y": {
              "type": "number"
            },
            "n": {
              "type": "integer",
              "minimum": 2,
              "maximum": 100
            },
            "x_min": {
              "type": "number"
            },
            "x_max": {
              "type": "number"
            },
            "in_range": {
              "type": "boolean"
            },
            "extrapolated": {
              "type": "boolean"
            },
            "formula": {
              "type": "string"
            },
            "interval": {
              "type": "array",
              "items": {
                "type": "number"
              },
              "minItems": 2,
              "maxItems": 2
            },
            "points": {
              "type": "array",
              "items": {
                "type": "object",
                "properties": {
                  "x": {
                    "type": "number"
                  },
                  "y": {
                    "type": "number"
                  }
                },
                "required": [
                  "x",
                  "y"
                ],
                "additionalProperties": false
              },
              "minItems": 2,
              "maxItems": 100
            }
          },
          "required": [
            "method",
            "x",
            "y",
            "n",
            "x_min",
            "x_max",
            "in_range",
            "extrapolated",
            "formula",
            "points"
          ],
          "additionalProperties": false,
          "allOf": [
            {
              "if": {
                "properties": {
                  "method": {
                    "const": "linear"
                  }
                },
                "required": [
                  "method"
                ]
              },
              "then": {
                "required": [
                  "interval"
                ]
              },
              "else": {
                "not": {
                  "required": [
                    "interval"
                  ]
                }
              }
            },
            {
              "if": {
                "properties": {
                  "method": {
                    "const": "lagrange"
                  }
                },
                "required": [
                  "method"
                ]
              },
              "then": {
                "properties": {
                  "n": {
                    "maximum": 9
                  },
                  "points": {
                    "maxItems": 9
                  }
                }
              }
            }
          ]
        },
        "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"
          ]
        },
        "citation_kind": {
          "type": "string"
        },
        "expert_review": {
          "type": "string"
        },
        "domain_review": {
          "type": "string"
        },
        "calculation_version": {
          "type": "string"
        },
        "calc_tests": {
          "type": [
            "string",
            "null"
          ]
        },
        "tests_passed": {
          "type": [
            "integer",
            "null"
          ]
        },
        "tests_total": {
          "type": [
            "integer",
            "null"
          ]
        },
        "artifact_contract": {
          "type": [
            "string",
            "null"
          ]
        },
        "trust_peek": {
          "type": [
            "string",
            "null"
          ]
        },
        "verification_revision": {
          "type": "string"
        },
        "verified_scope": {
          "type": "string"
        },
        "evidence_digest": {
          "type": "string",
          "pattern": "^[a-f0-9]{64}$"
        }
      },
      "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": "1.1.6"
    },
    "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"
        }
      }
    }
  }
}
