{
  "capability_id": "engineering.measurement.reproducibility",
  "tool_id": "reproducibility",
  "engine": "reproducibility",
  "calculation_version": "1.0.0",
  "generated_at": "2026-09-15T23:38:12.909Z",
  "engine_build": "2026-09-15",
  "test_count": 8,
  "passed": 8,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "total": 0,
      "passed": 0
    },
    "boundary": {
      "total": 5,
      "passed": 5
    },
    "property": {
      "total": 3,
      "passed": 3
    }
  },
  "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/reproducibility",
  "api": "https://www.calculatorx.com/api/v1/calc/reproducibility",
  "schema_input": "https://www.calculatorx.com/schemas/engineering.measurement.reproducibility.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/engineering.measurement.reproducibility.output.json",
  "assumptions": [
    "ISO 5725 reproducibility: s_R = √(s_r²+s_L²), R = 2.8·s_R from stated components.",
    "s_r and s_L are ≥ 0. Both zero is valid (R = 0).",
    "Not r = 2.8·s from a sample, not AIAG GRR, and not combined RSS.",
    "Does not take a single s_R as input."
  ],
  "limitations": [
    "Takes stated s_r and s_L — not a sample and not a single s_R wrap",
    "Not ISO 5725 r = 2.8·s from repeats",
    "Not AIAG Gauge R&R AV / GRR",
    "Not combined RSS of a measurement model"
  ],
  "boundary_conditions": [
    "missing s_r or s_L → MISSING_REQUIRED_INPUT",
    "negative s_r or s_L → VALUE_OUT_OF_RANGE",
    "s_L = 0 is valid"
  ],
  "sources": [
    {
      "title": "ISO 5725-1 — Accuracy (trueness and precision) of measurement methods and results",
      "section": "Reproducibility standard deviation s_R and reproducibility limit R",
      "supports": "s_R combines repeatability and between-laboratory variation. R = 2.8·s_R is the conventional reproducibility limit.",
      "kind": "standard"
    },
    {
      "title": "ISO 5725-2 — Repeatability and reproducibility of standard measurement methods",
      "section": "s_R = √(s_r² + s_L²)",
      "supports": "This page takes stated s_r and s_L. It does not estimate them from a collaborative study table.",
      "kind": "standard"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:023709b49aac870bfa41e379d6f0457ff3fe305d6f7da6521ea67d6661a0c9bd",
  "tests": [
    {
      "id": "boundary-repro",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "s_r": 3,
        "s_L": 4
      },
      "expect": {
        "s_R": 5,
        "R": 14
      },
      "expectWarning": null,
      "actual": {
        "R": 14,
        "s_R": 5,
        "s_r": 3,
        "s_L": 4,
        "factor": 2.8
      },
      "tol": 1e-12
    },
    {
      "id": "boundary-repro-zero-l",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "s_r": 1,
        "s_L": 0
      },
      "expect": {
        "s_R": 1,
        "R": 2.8
      },
      "expectWarning": null,
      "actual": {
        "R": 2.8,
        "s_R": 1,
        "s_r": 1,
        "s_L": 0,
        "factor": 2.8
      },
      "tol": 1e-12
    },
    {
      "id": "boundary-repro-zero",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "s_r": 0,
        "s_L": 0
      },
      "expect": {
        "s_R": 0,
        "R": 0
      },
      "expectWarning": null,
      "actual": {
        "R": 0,
        "s_R": 0,
        "s_r": 0,
        "s_L": 0,
        "factor": 2.8
      },
      "tol": 1e-12
    },
    {
      "id": "boundary-repro-neg",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "s_r": -1,
        "s_L": 4
      },
      "expectError": "VALUE_OUT_OF_RANGE",
      "code": "VALUE_OUT_OF_RANGE",
      "error": "s_r must be ≥ 0"
    },
    {
      "id": "boundary-repro-missing",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "s_r": 3
      },
      "expectError": "MISSING_REQUIRED_INPUT",
      "code": "MISSING_REQUIRED_INPUT",
      "error": "s_L is required"
    },
    {
      "id": "property-repro",
      "ok": true,
      "kind": "property",
      "detail": "14",
      "expect": 14,
      "actual": 14
    },
    {
      "id": "property-repro-zero-l",
      "ok": true,
      "kind": "property",
      "detail": "2.8",
      "expect": 2.8,
      "actual": 2.8
    },
    {
      "id": "property-repro-alias",
      "ok": true,
      "kind": "property",
      "detail": "14",
      "expect": 14,
      "actual": 14
    }
  ],
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 8,
      "total": 8,
      "golden": 0,
      "boundary": 5,
      "property": 3
    },
    "contract_checks": {
      "passed": 4,
      "total": 4
    }
  },
  "evidence_core_generated_at": "2026-09-15T22:18:31.789Z",
  "rendered_at": "2026-09-15T23:38:12.909Z",
  "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": "62aff694b3e246b2ddbd159feb7d8b3f66d4b84c9de5e97285fba794ab71083e",
      "output_schema_sha256": "81c974405474c24bffa34d49cae764073220308c862c483c6eb94bc35b6655bf",
      "evidence_sha256": "810fbb1b2f65731b7035d5934125582e4521157365e1bd87e9f66912ab8352aa",
      "evidence_core_sha256": "810fbb1b2f65731b7035d5934125582e4521157365e1bd87e9f66912ab8352aa",
      "capability_sha256": "dbbb8bc706e245570950638e24bc9323bec2f058f3bad1595684b4e428612490",
      "engine_sha256": "9265836b6b06f498f3f985320eab21319806f5471a924aead2cf954a9b6ffd8f",
      "mcp_contract_sha256": "ef59a935293be4e8212bcd43a3fc15993093aab9a9136fa56d3a8d267774178c"
    },
    "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"
  }
}