{
  "capability_id": "electrical.lpf",
  "tool_id": "lpf",
  "engine": "lpf",
  "calculation_version": "1.0.0",
  "generated_at": "2026-11-10T05:18:41.725Z",
  "engine_build": "2026-09-10",
  "test_count": 10,
  "passed": 10,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "passed": 3,
      "total": 3
    },
    "boundary": {
      "passed": 3,
      "total": 3
    },
    "property": {
      "passed": 4,
      "total": 4
    }
  },
  "engine_tested": true,
  "expert_reviewed": true,
  "internally_reviewed": false,
  "review_kind": "expert",
  "source_checked": true,
  "reviewed_by": "CalculatorX electrical review",
  "reviewer_role": "electrical-engineer",
  "last_reviewed": "2026-08-08",
  "expert_review": {
    "status": "approved",
    "reviewer": {
      "name": "CalculatorX electrical review",
      "role": "electrical-engineer"
    },
    "reviewed_at": "2026-08-08",
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "kind": "expert"
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/electric/lpf",
  "api": "https://www.calculatorx.com/api/v1/calc/lpf",
  "schema_input": "https://www.calculatorx.com/schemas/electrical.lpf.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/electrical.lpf.output.json",
  "assumptions": [
    "Ideal lumped series-R / shunt-C LPF.",
    "When R and C are both given, fc is recomputed from them."
  ],
  "limitations": [
    "First-order passive RC LPF only",
    "Fewer than two of R/C/fc → NEEDS_TWO_INPUTS",
    "When R and C both provided, fc is recomputed"
  ],
  "boundary_conditions": [
    "Fewer than two of R/C/fc → NEEDS_TWO_INPUTS",
    "≤ 0 → VALUE_MUST_BE_POSITIVE",
    "Non-finite → INVALID_NUMBER"
  ],
  "sources": [
    {
      "title": "Horowitz & Hill — The Art of Electronics",
      "section": "Single-pole RC filters",
      "supports": "fc = 1/(2πRC); −3 dB at corner; −20 dB/decade",
      "kind": "reference"
    },
    {
      "title": "IEC 60050 — IEV",
      "section": "Cut-off frequency",
      "supports": "Definition of cutoff / corner frequency for filters",
      "kind": "standard"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:ea861dc7b537c417718182fdd4aa315b2e06af83b487639bbebdde4f000ef54d",
  "tier": "expert_verified",
  "verification": {
    "tests": {
      "passed": 10,
      "total": 10,
      "golden": 3,
      "boundary": 3,
      "property": 4
    },
    "contract_checks": {
      "passed": 5,
      "total": 5
    }
  },
  "evidence_core_generated_at": "2026-09-05T02:35:39.217Z",
  "rendered_at": "2026-11-10T05:18:41.725Z",
  "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": "3ea9dcf4d535ac29b41a21e58a64dbc11f409315913a92db011a8e8d109600e1",
      "output_schema_sha256": "f5197a7821076ed820bfe25c3093c4d8c1a326cca1b61b661761d67d4b6c570c",
      "evidence_sha256": "7362ae26c748cc53b11854ac439f86bf9c569eeaeae1edcce3f8e1f9dc1367de",
      "evidence_core_sha256": "7362ae26c748cc53b11854ac439f86bf9c569eeaeae1edcce3f8e1f9dc1367de",
      "capability_sha256": "8e63b6ae0fc9ac83ee75939f0a2f134751d98662256872491b48117033da3be0",
      "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d",
      "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3"
    },
    "contract_checks": {
      "total": 5,
      "passed": 5,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.0"
        },
        {
          "id": "schema-output-required-declared",
          "status": "pass"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "rest-success-payload-validates-schema",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  },
  "tests": [],
  "disclosure": {
    "policy": "calculatorx-public-evidence-v1",
    "full_validation": "private",
    "representation": "summary"
  }
}
