{
  "name": "CalculatorX Core Capabilities",
  "version": "1.0.0",
  "generatedAt": "2026-09-16T22:38:02.752Z",
  "homepage": "https://www.calculatorx.com",
  "openapi": "https://www.calculatorx.com/openapi.json",
  "documentation": "https://www.calculatorx.com/developers",
  "agent_guide": "https://www.calculatorx.com/for-agents",
  "review_policy": "https://www.calculatorx.com/review-policy",
  "tiers": {
    "candidate": "Review-policy candidate — schema + catalog entry; engine tests incomplete or failing. Not a CVP status.",
    "engine_tested": "Review-policy: engine tested — automated tests, sources, version lock, and evidence published. Supplemental to CVP; not Domain Expert Review. See CVP and Review policy.",
    "internally_reviewed": "Review-policy: internally reviewed — engine tested plus CalculatorX domain review. Supplemental to CVP; not an expert-verified reviewedBy record.",
    "expert_verified": "Review-policy: expert-verified tier — engine tested plus identified reviewer or review team (reviewedBy). Catalog L3 token; supplemental to CVP. Does not by itself mean independent third-party certification. CalculatorX reviewedBy is internal domain review."
  },
  "tier_counts": {
    "candidate": 0,
    "engine_tested": 104,
    "internally_reviewed": 22,
    "expert_verified": 88
  },
  "discovery": {
    "search": "Use this catalog; do not load all 500 site tools as MCP natives. Prefer tier=engine_tested or higher (internally_reviewed / expert_verified). Catalog token verified is L3 only (alias of expert_verified).",
    "execute": "POST /api/v1/calc/{toolId} with inputs; pin calculation_version when required."
  },
  "version_lock": {
    "header": "CalculatorX-Spec-Version",
    "body_field": "calculation_version",
    "mismatch_status": 409,
    "mismatch_code": "VERSION_MISMATCH"
  },
  "count": 214,
  "capabilities": [
    {
      "capability_id": "electrical.apparent_power",
      "tool_id": "amps-to-va",
      "engine": "amps-va",
      "title": "Electrical apparent power",
      "summary": "Single-phase or balanced sinusoidal three-phase (L-L) AC apparent power: amps↔VA and amps→kVA. (calculation_version 1.4.3)",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-va",
      "api": "https://www.calculatorx.com/api/v1/calc/amps-to-va",
      "calculation_version": "1.4.3",
      "tier": "engine_tested",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      },
      "schemas": {
        "input": "https://www.calculatorx.com/schemas/electrical.apparent_power.input.json",
        "output": "https://www.calculatorx.com/schemas/electrical.apparent_power.output.json",
        "input_versioned": "https://www.calculatorx.com/schemas/electrical.apparent_power/1.4.3/input.json",
        "output_versioned": "https://www.calculatorx.com/schemas/electrical.apparent_power/1.4.3/output.json"
      },
      "evidence": "https://www.calculatorx.com/evidence/electrical.apparent_power/1.4.3.json",
      "evidence_page": "https://www.calculatorx.com/evidence/electrical.apparent_power/1.4.3",
      "capability_page": "https://www.calculatorx.com/capabilities/electrical.apparent_power",
      "verification": {
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          "total": 36,
          "golden": 9,
          "boundary": 13,
          "property": 14
        },
        "contract_checks": {
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      },
      "evidence_tests": {
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        "passed": 36,
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        "boundary": {
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        "property": {
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          "passed": 14
        },
        "contract": {
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          "passed": 4,
          "failed": 0
        }
      },
      "limitations": [
        "Not for DC systems",
        "Not for unbalanced or nonsinusoidal three-phase; √3 formula assumes balanced sinusoidal V_LL = √3 V_LN and equal line currents",
        "Not for line-to-neutral three-phase mode",
        "Not for equipment protection or conductor sizing",
        "When power_factor is supplied, REST/MCP include derived.estimated_real_power; omitted when λ is absent"
      ],
      "methods": [],
      "operations": [
        "amps-va",
        "va-amps",
        "amps-kva"
      ],
      "release_integrity": {
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        "scope": "workspace",
        "production_attestation_required": true,
        "calculation_version": "1.4.3",
        "artifacts": {
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            {
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            },
            {
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          ]
        },
        "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
      }
    },
    {
      "capability_id": "electrical.ohms_law",
      "tool_id": "ohms-law",
      "engine": "ohms-law",
      "title": "Ohm's law",
      "summary": "Solve any two of V, I, R, P for resistive DC / AC RMS circuits. (calculation_version 1.5.1)",
      "page": "https://www.calculatorx.com/calc/electric/ohms-law",
      "api": "https://www.calculatorx.com/api/v1/calc/ohms-law",
      "calculation_version": "1.5.1",
      "tier": "expert_verified",
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        "review_kind": "expert",
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        "reviewer_role": "electrical-engineer",
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        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      },
      "schemas": {
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        "output": "https://www.calculatorx.com/schemas/electrical.ohms_law.output.json",
        "input_versioned": "https://www.calculatorx.com/schemas/electrical.ohms_law/1.5.1/input.json",
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      },
      "evidence": "https://www.calculatorx.com/evidence/electrical.ohms_law/1.5.1.json",
      "evidence_page": "https://www.calculatorx.com/evidence/electrical.ohms_law/1.5.1",
      "capability_page": "https://www.calculatorx.com/capabilities/electrical.ohms_law",
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          "passed": 18,
          "total": 18,
          "golden": 8,
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      },
      "evidence_tests": {
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        "boundary": {
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        "property": {
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          "passed": 6
        },
        "contract": {
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        }
      },
      "limitations": [
        "Resistive model only",
        "Not for reactive impedance networks",
        "Fewer than two inputs → NEEDS_TWO_INPUTS; non-finite → INVALID_NUMBER",
        "Zero divisors yield 0 for dependents (soft boundary)"
      ],
      "methods": [],
      "operations": [],
      "release_integrity": {
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        "scope": "workspace",
        "production_attestation_required": true,
        "calculation_version": "1.5.1",
        "artifacts": {
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        },
        "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
      }
    },
    {
      "capability_id": "electrical.watts_amps",
      "tool_id": "watts-to-amps",
      "engine": "watts-amps",
      "title": "Watts ↔ amps",
      "summary": "Convert real power and current for DC, single-phase, or three-phase with power factor. (calculation_version 1.4.1)",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-amps",
      "api": "https://www.calculatorx.com/api/v1/calc/watts-to-amps",
      "calculation_version": "1.4.1",
      "tier": "engine_tested",
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        "review_kind": null,
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      },
      "schemas": {
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        "output": "https://www.calculatorx.com/schemas/electrical.watts_amps.output.json",
        "input_versioned": "https://www.calculatorx.com/schemas/electrical.watts_amps/1.4.1/input.json",
        "output_versioned": "https://www.calculatorx.com/schemas/electrical.watts_amps/1.4.1/output.json"
      },
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_amps/1.4.1.json",
      "evidence_page": "https://www.calculatorx.com/evidence/electrical.watts_amps/1.4.1",
      "capability_page": "https://www.calculatorx.com/capabilities/electrical.watts_amps",
      "verification": {
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          "total": 24,
          "golden": 12,
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        "contract_checks": {
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      "evidence_tests": {
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        "boundary": {
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        "property": {
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        "contract": {
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      },
      "limitations": [
        "Not for unbalanced three-phase",
        "Not for line-to-neutral three-phase as a separate mode",
        "Not a substitute for breaker or conductor sizing"
      ],
      "methods": [],
      "operations": [
        "w-a",
        "a-w"
      ],
      "release_integrity": {
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        "calculation_version": "1.4.1",
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        "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
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    },
    {
      "capability_id": "electrical.power_factor",
      "tool_id": "power-factor",
      "engine": "power-factor",
      "title": "Power factor",
      "summary": "Compute apparent power S, power factor λ, and reactive power Q from RMS V, I, and real power P for 1φ or balanced 3φ. (calculation_version 1.5.1)",
      "page": "https://www.calculatorx.com/calc/electric/power-factor",
      "api": "https://www.calculatorx.com/api/v1/calc/power-factor",
      "calculation_version": "1.5.1",
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      },
      "schemas": {
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        "output": "https://www.calculatorx.com/schemas/electrical.power_factor.output.json",
        "input_versioned": "https://www.calculatorx.com/schemas/electrical.power_factor/1.5.1/input.json",
        "output_versioned": "https://www.calculatorx.com/schemas/electrical.power_factor/1.5.1/output.json"
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      "evidence": "https://www.calculatorx.com/evidence/electrical.power_factor/1.5.1.json",
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      "capability_page": "https://www.calculatorx.com/capabilities/electrical.power_factor",
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          "total": 26,
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      },
      "limitations": [
        "Correction capacitor estimate is UI-only (not part of the API result)",
        "Not for harmonic-rich or engineered bank design",
        "When P > S, PF is capped at 1 and Q = 0 (soft clamp)",
        "Voltage must be > 0 (VOLTAGE_MUST_BE_POSITIVE); zero volts is not a valid S=0 shortcut"
      ],
      "methods": [],
      "operations": [
        "single",
        "three-ll",
        "three-ln"
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    },
    {
      "capability_id": "electrical.voltage_drop",
      "tool_id": "voltage-drop",
      "engine": "voltage-drop",
      "title": "Voltage drop",
      "summary": "Estimate conductor voltage drop from current, one-way length, and Ω/km for DC / resistive 1φ or balanced 3φ (resistance-only, PF≈1). Always returns conductor I²R loss P_loss. Optional V_system adds percent drop and estimated load voltage; optional u_* compose expanded uncertainty on V_drop via Uncertainty Engine. (calculation_version 1.5.2)",
      "page": "https://www.calculatorx.com/calc/wire/voltage-drop",
      "api": "https://www.calculatorx.com/api/v1/calc/voltage-drop",
      "calculation_version": "1.5.2",
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      "schemas": {
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        "output": "https://www.calculatorx.com/schemas/electrical.voltage_drop.output.json",
        "input_versioned": "https://www.calculatorx.com/schemas/electrical.voltage_drop/1.5.2/input.json",
        "output_versioned": "https://www.calculatorx.com/schemas/electrical.voltage_drop/1.5.2/output.json"
      },
      "evidence": "https://www.calculatorx.com/evidence/electrical.voltage_drop/1.5.2.json",
      "evidence_page": "https://www.calculatorx.com/evidence/electrical.voltage_drop/1.5.2",
      "capability_page": "https://www.calculatorx.com/capabilities/electrical.voltage_drop",
      "verification": {
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          "total": 38,
          "golden": 12,
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        },
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        "V_drop is I·Rds_Tj at the entered current, not a measured VDS(on) waveform point",
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      "limitations": [
        "Takes stated s_r, s_L, and n≥2 — not a sample of observations",
        "n=1 is rejected so this cannot wrap s_R",
        "Not ISO 5725 R = 2.8·s_R and not Type A u_A = s/√n from values",
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    },
    {
      "capability_id": "engineering.uncertainty.pooled_sd",
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      "engine": "pooled-sd",
      "title": "Pooled standard deviation",
      "summary": "Pooled s_p = √(Σ ν_i s_i² / Σ ν_i) from k≥2 stated sample standard deviations and their degrees of freedom. Not Type A from one sample, not Welch–Satterthwaite ν_eff, and not ISO 21748 u of a mean. (calculation_version 1.0.0)",
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      "limitations": [
        "Takes stated s_i and ν_i — not a single sample of observations",
        "k=1 is rejected so this cannot wrap Type A / identity s",
        "Does not compute Welch–Satterthwaite ν_eff",
        "Does not compute ISO 21748 u of a mean"
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      "summary": "ISO 5725 repeatability s_r = √(Σ d_i² / (2m)) from m≥2 duplicate differences. Not Type A from a sample of observations, not r = 2.8·s, and not AIAG GRR EV = R̄/d2. (calculation_version 1.0.0)",
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      "limitations": [
        "Takes duplicate differences — not a sample of observations",
        "m=1 is rejected so this cannot wrap |d|/√2",
        "Does not report r = 2.8·s_r",
        "Not AIAG GRR EV = R̄/d2"
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      "summary": "ISO 5725-2 Cochran C = s_max² / Σ s_i² from k≥2 stated laboratory sample standard deviations. Not pooled s_p, not Hartley's F_max, and not a tabulated Ccrit pass/fail. (calculation_version 1.0.0)",
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      "limitations": [
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        "k=1 is rejected so this cannot wrap identity C=1",
        "All-zero s is rejected (Σ s² must be > 0)",
        "Does not compare C to a tabulated Ccrit(p, n, α)",
        "Not pooled s_p and not Hartley's F_max"
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      "title": "Gauge capability (Cg/Cgk)",
      "summary": "Type-1 Cg/Cgk from repeats on a master: Cg=(frac·T)/(6s), Cgk=(frac·T/2−|x̄−xm|)/(3s). frac defaults to 0.2 (Bosch / VDA 5). Not AIAG GRR, not Cp/Cpk, and not a Cg≥1.33 verdict. (calculation_version 1.0.0)",
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        "Not process Cp/Cpk or Pp/Ppk",
        "Does not issue a Cg≥1.33 pass/fail",
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