{ "$schema": "https://json-schema.org/draft/2020-12/schema", "$id": "https://www.calculatorx.com/schemas/math.scientific_notation/2.0.1/output.json", "title": "Scientific notation — success output", "type": "object", "additionalProperties": false, "required": [ "status", "capability_id", "engine", "inputs", "result", "result_detail", "calculation_version", "verification", "review" ], "properties": { "id": { "type": "string", "description": "Requested tool id" }, "status": { "const": "success" }, "capability_id": { "const": "math.scientific_notation" }, "tool": { "type": "string", "description": "Requested tool id" }, "engine": { "type": "string" }, "inputs": { "description": "Normalized calculation inputs (aliases resolved to canonical form)", "type": "object", "oneOf": [ { "title": "convert", "type": "object", "additionalProperties": false, "required": [ "mode", "value" ], "properties": { "mode": { "const": "convert", "description": "Decimal / E / A×10ⁿ → normalized scientific notation" }, "value": { "type": [ "number", "string" ], "description": "Decimal, E-notation, or A×10ⁿ literal. Share-URL alias numInput is not part of this contract.", "maxLength": 512 } } }, { "title": "engineering", "type": "object", "additionalProperties": false, "required": [ "mode", "value" ], "properties": { "mode": { "const": "engineering", "description": "Same parse as convert; primary form uses n ≡ 0 (mod 3)" }, "value": { "type": [ "number", "string" ], "description": "Decimal, E-notation, or A×10ⁿ literal. Share-URL alias numInput is not part of this contract.", "maxLength": 512 } } }, { "title": "normalize", "type": "object", "additionalProperties": false, "required": [ "mode", "coef", "exp" ], "properties": { "mode": { "const": "normalize", "description": "Rewrite A×10ⁿ so 1 ≤ |A| < 10 (zero → 0)" }, "coef": { "type": [ "number", "string" ], "description": "Coefficient A. Share-URL alias coefInput is not part of this contract. Decimal token retained until combined conversion; exponent must be an integer within±10000.", "maxLength": 512 }, "exp": { "type": [ "number", "string" ], "description": "Integer exponent n. Share-URL alias expInput is not part of this contract. Decimal token retained until combined conversion; exponent must be an integer within±10000.", "maxLength": 512 } } }, { "title": "operate", "type": "object", "additionalProperties": false, "required": [ "mode", "op", "a", "b" ], "properties": { "mode": { "const": "operate", "description": "±×÷ of two scientific values, then normalize" }, "op": { "type": "string", "enum": [ "mul", "div", "add", "sub" ] }, "a": { "type": [ "number", "string" ], "description": "Operand A (decimal, E-notation, or A×10ⁿ). Share-URL alias aInput is not part of this contract.", "maxLength": 512 }, "b": { "type": [ "number", "string" ], "description": "Operand B (decimal, E-notation, or A×10ⁿ). Share-URL alias bInput is not part of this contract.", "maxLength": 512 } } } ] }, "result": { "type": "object", "additionalProperties": false, "required": [], "properties": { "mode": { "type": "string", "enum": [ "convert", "engineering", "normalize", "operate" ] }, "coef": { "type": "number", "description": "Normalized scientific coefficient A" }, "exp": { "type": "integer", "description": "Normalized scientific exponent n" }, "value": { "type": "number", "description": "Reconstructed finite real (binary64)" }, "eng_coef": { "type": "number", "description": "Engineering coefficient (n ≡ 0 mod 3)" }, "eng_exp": { "type": "integer", "description": "Engineering exponent, multiple of 3" }, "op": { "type": "string", "enum": [ "mul", "div", "add", "sub" ] } }, "oneOf": [ { "title": "convert", "type": "object", "additionalProperties": false, "required": [ "mode", "coef", "exp", "value" ], "properties": { "mode": { "const": "convert" }, "coef": { "type": "number" }, "exp": { "type": "integer" }, "value": { "type": "number" } } }, { "title": "engineering", "type": "object", "additionalProperties": false, "required": [ "mode", "eng_coef", "eng_exp", "value" ], "properties": { "mode": { "const": "engineering" }, "eng_coef": { "type": "number" }, "eng_exp": { "type": "integer" }, "value": { "type": "number" } } }, { "title": "normalize", "type": "object", "additionalProperties": false, "required": [ "mode", "coef", "exp", "value" ], "properties": { "mode": { "const": "normalize" }, "coef": { "type": "number" }, "exp": { "type": "integer" }, "value": { "type": "number" } } }, { "title": "operate", "type": "object", "additionalProperties": false, "required": [ "mode", "op", "coef", "exp", "value" ], "properties": { "mode": { "const": "operate" }, "op": { "type": "string", "enum": [ "mul", "div", "add", "sub" ] }, "coef": { "type": "number" }, "exp": { "type": "integer" }, "value": { "type": "number" } } } ] }, "result_detail": { "type": "object", "additionalProperties": false, "required": [ "value", "unit", "formatted" ], "properties": { "value": { "type": "object", "additionalProperties": false, "required": [], "properties": { "mode": { "type": "string", "enum": [ "convert", "engineering", "normalize", "operate" ] }, "coef": { "type": "number", "description": "Normalized scientific coefficient A" }, "exp": { "type": "integer", "description": "Normalized scientific exponent n" }, "value": { "type": "number", "description": "Reconstructed finite real (binary64)" }, "eng_coef": { "type": "number", "description": "Engineering coefficient (n ≡ 0 mod 3)" }, "eng_exp": { "type": "integer", "description": "Engineering exponent, multiple of 3" }, "op": { "type": "string", "enum": [ "mul", "div", "add", "sub" ] } }, "oneOf": [ { "title": "convert", "type": "object", "additionalProperties": false, "required": [ "mode", "coef", "exp", "value" ], "properties": { "mode": { "const": "convert" }, "coef": { "type": "number" }, "exp": { "type": "integer" }, "value": { "type": "number" } } }, { "title": "engineering", "type": "object", "additionalProperties": false, "required": [ "mode", "eng_coef", "eng_exp", "value" ], "properties": { "mode": { "const": "engineering" }, "eng_coef": { "type": "number" }, "eng_exp": { "type": "integer" }, "value": { "type": "number" } } }, { "title": "normalize", "type": "object", "additionalProperties": false, "required": [ "mode", "coef", "exp", "value" ], "properties": { "mode": { "const": "normalize" }, "coef": { "type": "number" }, "exp": { "type": "integer" }, "value": { "type": "number" } } }, { "title": "operate", "type": "object", "additionalProperties": false, "required": [ "mode", "op", "coef", "exp", "value" ], "properties": { "mode": { "const": "operate" }, "op": { "type": "string", "enum": [ "mul", "div", "add", "sub" ] }, "coef": { "type": "number" }, "exp": { "type": "integer" }, "value": { "type": "number" } } } ] }, "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, "description": "Computational verification under CVP. Review-policy tiers live on `review`, not here.", "required": [ "cvp" ], "properties": { "cvp": { "type": "object", "additionalProperties": false, "required": [ "status", "protocol", "profile", "verified_scope", "verification_revision", "evidence_digest" ], "properties": { "status": { "type": "string", "description": "CVP verification status (e.g. VERIFIED)" }, "protocol": { "type": "string", "description": "CVP protocol id, e.g. 1.0.0-proposed" }, "profile": { "type": "string" }, "verified_scope": { "type": "string" }, "verification_revision": { "type": [ "string", "null" ] }, "evidence_digest": { "type": [ "string", "null" ] }, "production": { "type": [ "string", "null" ], "description": "Production freshness, e.g. CURRENT" }, "evidence": { "type": "string", "format": "uri" } } } } }, "review": { "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": "2.0.1" }, "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" } } } } }