{
  "capability_id": "engineering.process.guard_band",
  "tool_id": "guard-band",
  "engine": "guard-band",
  "calculation_version": "1.0.0",
  "generated_at": "2026-09-16T22:03:43.733Z",
  "engine_build": "2026-09-16",
  "test_count": 6,
  "passed": 6,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "total": 1,
      "passed": 1
    },
    "boundary": {
      "total": 3,
      "passed": 3
    },
    "property": {
      "total": 2,
      "passed": 2
    }
  },
  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/engineering/guard-band",
  "api": "https://www.calculatorx.com/api/v1/calc/guard-band",
  "schema_input": "https://www.calculatorx.com/schemas/engineering.process.guard_band.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/engineering.process.guard_band.output.json",
  "assumptions": [
    "GB = k·u with k default 2",
    "Not ILAC G8 / JCGM 106 risk-based decision rules",
    "USL and LSL optional; omitted limits skip that acceptance output",
    "Not Cp/Cpk and not Monte Carlo"
  ],
  "limitations": [
    "GB = k·u with k default 2 — not ILAC G8 / JCGM 106 risk-based rules",
    "USL and LSL optional; omitted limits skip that acceptance output",
    "Not Cp/Cpk and not Monte Carlo"
  ],
  "boundary_conditions": [
    "u < 0 → VALUE_OUT_OF_RANGE",
    "k ≤ 0 → VALUE_MUST_BE_POSITIVE",
    "missing u → MISSING_REQUIRED_INPUT"
  ],
  "sources": [
    {
      "title": "JCGM 106:2012 — The role of measurement uncertainty in conformity assessment",
      "section": "8.2 Guard bands",
      "url": "https://www.bipm.org/en/committees/jc/jcgm/publications",
      "supports": "A guard band is a multiple of standard uncertainty that shrinks the acceptance interval",
      "kind": "standard"
    },
    {
      "title": "JCGM 106:2012 — The role of measurement uncertainty in conformity assessment",
      "section": "7.2 Acceptance interval",
      "url": "https://www.bipm.org/utils/common/pdf/jcgm/JCGM_106_2012_E.pdf",
      "supports": "Acceptance limits lie inside the specification interval when a guard band is applied",
      "kind": "standard"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:627fa63547b70bd89e84e6f4a2ae64a4b4dc7fff3f9b3f3a97a08fae1d502165",
  "tests": [
    {
      "id": "golden-gb",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "u": 0.5,
        "k": 2
      },
      "expect": {
        "GB": 1
      },
      "expectWarning": null,
      "actual": {
        "GB": 1,
        "u": 0.5,
        "k": 2
      },
      "tol": 1e-12
    },
    {
      "id": "boundary-gb-accept",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "u": 0.5,
        "k": 2,
        "usl": 12,
        "lsl": 0
      },
      "expect": {
        "GB": 1,
        "accept_usl": 11,
        "accept_lsl": 1
      },
      "expectWarning": null,
      "actual": {
        "GB": 1,
        "u": 0.5,
        "k": 2,
        "accept_usl": 11,
        "usl": 12,
        "accept_lsl": 1,
        "lsl": 0
      },
      "tol": 1e-12
    },
    {
      "id": "boundary-gb-u",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "u": -1,
        "k": 2
      },
      "expectError": "VALUE_OUT_OF_RANGE",
      "code": "VALUE_OUT_OF_RANGE",
      "error": "u must be ≥ 0"
    },
    {
      "id": "boundary-gb-k",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "u": 0.5,
        "k": 0
      },
      "expectError": "VALUE_MUST_BE_POSITIVE",
      "code": "VALUE_MUST_BE_POSITIVE",
      "error": "k must be greater than zero"
    },
    {
      "id": "property-gb",
      "ok": true,
      "kind": "property",
      "detail": "1",
      "expect": 1,
      "actual": 1
    },
    {
      "id": "property-accept",
      "ok": true,
      "kind": "property",
      "detail": "11/1",
      "expect": 11,
      "actual": 11
    }
  ],
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 6,
      "total": 6,
      "golden": 1,
      "boundary": 3,
      "property": 2
    },
    "contract_checks": {
      "passed": 4,
      "total": 4
    }
  },
  "evidence_core_generated_at": "2026-09-16T05:06:07.111Z",
  "rendered_at": "2026-09-16T22:03:43.733Z",
  "release_integrity": {
    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.0",
    "artifacts": {
      "engine": "1.0.0",
      "page": "1.0.0",
      "capability": "1.0.0",
      "evidence": "1.0.0",
      "input_schema": "1.0.0",
      "output_schema": "1.0.0",
      "mcp_contract": "1.0.0"
    },
    "digests": {
      "input_schema_sha256": "016985412089204a0464c005ecf8a90ab1f7340907f5e294be02e2fd7209d30b",
      "output_schema_sha256": "727853f8a26875295a768f3fbe8b1edcfbe471c65d73674a6453d9d1d510d7f6",
      "evidence_sha256": "dff9b0701e898cd65f6a319843fb7877a3681b79c00ef67d310314b0674498fc",
      "evidence_core_sha256": "dff9b0701e898cd65f6a319843fb7877a3681b79c00ef67d310314b0674498fc",
      "capability_sha256": "f6819daefcd3dd45a8e59daafa1bc9edb6a4d8afbc8b64f4c9205a1c3e6f93bb",
      "engine_sha256": "c8d4ccdbfeaf61d7b024d4e1babb0c2ba3b324c1b37bd0cb456a526d8d2b1bd1",
      "mcp_contract_sha256": "863098b311a7b17dc4b229a6302b90b3545b175f716e5d84772c7be8e9716b86"
    },
    "contract_checks": {
      "total": 4,
      "passed": 4,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.0"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "schema-rejects-incomplete-input",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  }
}
