{
  "protocol": {
    "name": "CVP",
    "version": "1.0.0-proposed"
  },
  "document_status": "proposed",
  "calculator": {
    "id": "voltage-divider",
    "version": "1.5.1",
    "title": "Voltage Divider Calculator",
    "formula_family": "resistive-divider",
    "capability_id": "electrical.voltage_divider"
  },
  "profile": "engineering",
  "status": "VERIFIED",
  "runner": {
    "name": "cvp-runner",
    "version": "1.0.0"
  },
  "environment": {
    "runtime": "node",
    "runtime_version": "20.19.2",
    "numeric_model": "IEEE-754 binary64",
    "os": "darwin"
  },
  "suite": {
    "id": "voltage-divider",
    "version": "1.5.1",
    "uri": "https://www.calculatorx.com/evidence/electrical.voltage_divider/1.5.1.json"
  },
  "obligation_set": [
    "CVP-PROV-01",
    "CVP-MODEL-01",
    "CVP-SCOPE-01",
    "CVP-UNIT-01",
    "CVP-REF-01",
    "CVP-GOLD-01",
    "CVP-BND-01",
    "CVP-INV-01",
    "CVP-NUM-01",
    "CVP-COV-01",
    "CVP-CONTRACT-01",
    "CVP-DEP-01",
    "CVP-ART-01",
    "CVP-PROD-01",
    "CVP-DIM-01",
    "CVP-PROP-01",
    "CVP-IFACE-01"
  ],
  "provenance": {
    "mode": "direct",
    "sources": [
      {
        "label": "IEC 60050 — International Electrotechnical Vocabulary",
        "kind": "standard",
        "reference": "Resistance (IEV 131-12-04)",
        "url": "https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=131-12-04"
      },
      {
        "label": "IEC 60050 — International Electrotechnical Vocabulary",
        "kind": "standard",
        "reference": "Kirchhoff law for meshes (IEV 131-15-10)",
        "url": "https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=131-15-10"
      },
      {
        "label": "NIST Guide to the SI (SP 811)",
        "kind": "other",
        "reference": "Volt, ohm, and ampere in circuit analysis",
        "url": "https://www.nist.gov/pml/special-publication-811"
      },
      {
        "label": "BIPM SI Brochure (9th edition, version 4.01)",
        "kind": "other",
        "reference": "SI base and derived units for volt, ohm, ampere, and watt",
        "url": "https://www.bipm.org/en/publications/si-brochure"
      }
    ]
  },
  "reference": {
    "items": [
      {
        "class": "O1",
        "reference_scope": "model",
        "scope": "model",
        "label": "Classic unloaded voltage divider identities"
      },
      {
        "class": "O2",
        "reference_scope": "expected_values",
        "scope": "expected_values",
        "label": "Separate-module voltage-divider oracle — same V8 binary64 as IUT",
        "engine": {
          "name": "voltage-divider-reference",
          "precision_bits": 53,
          "independent_of_iut": true
        }
      },
      {
        "class": "O2",
        "reference_scope": "numerical_behavior",
        "scope": "numerical_behavior",
        "label": "Same O2 module backs ≤2 ULP Vout comparison vs IUT",
        "engine": {
          "name": "voltage-divider-reference",
          "precision_bits": 53,
          "independent_of_iut": true
        }
      }
    ],
    "notes": "Golden expected values use a separate O2 module (not IUT transcription). O2 shares Node/V8 binary64 with the IUT unless noted otherwise."
  },
  "controls": {
    "CVP-PROV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "Sources present on evidence"
    },
    "CVP-MODEL-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "Unloaded resistive divider; exactly three of Vin,R1,R2,Vout"
    },
    "CVP-SCOPE-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "No load current on tap; R1+R2>0 when solving Vout"
    },
    "CVP-UNIT-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "API SI ohms"
    },
    "CVP-REF-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "O1 model + O2 expected_values + O2 numerical_behavior"
    },
    "CVP-GOLD-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "9/9 legacy golden; 3/3 oracle-backed numeric"
    },
    "CVP-BND-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "8/8 boundary"
    },
    "CVP-INV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "8 invalid-domain cases"
    },
    "CVP-NUM-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "max_error_observed_ulp=0; policy declared a priori"
    },
    "CVP-COV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "3/3 declared partitions (solve-vout, solve-r, invalid-domain) · 9 golden / 8 boundary unique cases · 8 Evidence invalid-input (may overlap boundary)"
    },
    "CVP-CONTRACT-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "1/1 contract checks"
    },
    "CVP-DEP-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "engine voltage-divider; Node binary64"
    },
    "CVP-ART-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "release_integrity.status=verified · evidence_digest=CVP verification fingerprint v2 (canonical inputs, expected/actual/status, policy, versions; independent of generated_at) · evidence_bundle_sha256=legacy Evidence JSON bytes · production_sha256=bound production attestation report"
    },
    "CVP-PROD-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "CURRENT · site report pass · local checks pass · attestation_id=00c818a77ba026c2d6aa3f7402680cd2dac2a40a816209600bc3c3fcd0b8921c · CURRENT · Public schema 1.5.1 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.5.1 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=9424f31d3ca937ec4a453e41479201945df6495214f0a220ebb742e7fd1c3f20"
    },
    "CVP-DIM-01": {
      "result": "PASS",
      "applicability": "applicable",
      "notes": "Voltage, resistance, power"
    },
    "CVP-PROP-01": {
      "result": "PASS",
      "applicability": "applicable",
      "notes": "11/11 property"
    },
    "CVP-META-01": {
      "result": "SKIP",
      "applicability": "not_applicable",
      "notes": "No input→output transformation vectors in pack — control not in obligation set"
    },
    "CVP-ROUND-01": {
      "result": "SKIP",
      "applicability": "not_applicable",
      "notes": "No inverse / round-trip vectors in pack — control not in obligation set"
    },
    "CVP-XCAL-01": {
      "result": "SKIP",
      "applicability": "not_applicable",
      "notes": "No related calculator in the same formula family / no related-identity peers declared — control not in obligation set"
    },
    "CVP-IFACE-01": {
      "result": "PASS",
      "applicability": "applicable",
      "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session."
    },
    "CVP-ORACLE-01": {
      "result": "SKIP",
      "applicability": "higher_assurance",
      "notes": "O2 present; O3 not required this wave"
    },
    "CVP-EXP-01": {
      "result": "SKIP",
      "applicability": "optional",
      "notes": "expert_reviewed=false"
    }
  },
  "tests": {
    "golden": {
      "passed": 3,
      "total": 3,
      "failed": 0,
      "case_ids": [
        "g-vout",
        "g-r2",
        "g-vin"
      ]
    },
    "boundary": {
      "passed": 8,
      "total": 8,
      "failed": 0,
      "case_ids": [
        "error-Vout-ge-Vin",
        "error-zero-rsum",
        "error-neg-R1",
        "error-two-inputs",
        "error-empty",
        "error-four-inputs",
        "boundary-two-inputs",
        "boundary-vout-zero-solve-r2"
      ]
    },
    "invalid": {
      "passed": 8,
      "total": 8,
      "failed": 0,
      "case_ids": [
        "error-Vout-ge-Vin",
        "error-zero-rsum",
        "error-neg-R1",
        "error-two-inputs",
        "error-empty",
        "error-four-inputs",
        "boundary-two-inputs",
        "boundary-vout-zero-solve-r2"
      ]
    },
    "property": {
      "passed": 11,
      "total": 11,
      "failed": 0,
      "case_ids": [
        "property-equal-divider",
        "property-equal-current",
        "property-1-to-3",
        "property-linear-vin",
        "property-solve-R2",
        "property-solve-R1",
        "property-solve-Vin",
        "property-roundtrip-R2-grid",
        "property-scale-resistors",
        "property-power-identity",
        "property-rth-parallel"
      ],
      "kind": "fixed"
    },
    "round_trip": {
      "passed": 0,
      "total": 0,
      "failed": 0,
      "case_ids": []
    },
    "metamorphic": {
      "passed": 0,
      "total": 0,
      "failed": 0,
      "case_ids": []
    },
    "contract": {
      "passed": 1,
      "total": 1,
      "failed": 0
    },
    "cross_interface": {
      "passed": 1,
      "total": 1,
      "failed": 0,
      "case_ids": [
        "iface-vout"
      ]
    }
  },
  "coverage": {
    "partitions": [
      {
        "id": "solve-vout",
        "description": "Vin+R1+R2 → Vout",
        "exercised": true,
        "case_count": 6
      },
      {
        "id": "solve-r",
        "description": "Solve R1 or R2 from voltages",
        "exercised": true,
        "case_count": 4
      },
      {
        "id": "invalid-domain",
        "description": "Invalid inputs",
        "exercised": true,
        "case_count": 8
      }
    ]
  },
  "numerical": {
    "representation": "IEEE-754 binary64",
    "tolerance": {
      "type": "ulp",
      "value": 2,
      "rationale": "Resistive divider algebra; ≤2 ULP vs separate-module O2 (same V8). Declared a priori.",
      "declared_before_evaluation": true
    },
    "max_error_observed": 0,
    "records": [
      {
        "id": "g-vout",
        "reference": {
          "Vin": 5,
          "R1": 1000,
          "R2": 2000,
          "Vout": 3.3333333333333335,
          "I": 0.0016666666666666668,
          "P1": 0.0027777777777777783,
          "P2": 0.005555555555555557,
          "Ptotal": 0.008333333333333335,
          "ratio": 0.6666666666666666,
          "Rth": 666.6666666666666
        },
        "actual": {
          "Vin": 5,
          "R1": 1000,
          "R2": 2000,
          "Vout": 3.3333333333333335,
          "I": 0.0016666666666666668,
          "P1": 0.0027777777777777783,
          "P2": 0.005555555555555557,
          "Ptotal": 0.008333333333333335,
          "ratio": 0.6666666666666666,
          "Rth": 666.6666666666666
        },
        "error_ulp": 0,
        "threshold_ulp": 2
      },
      {
        "id": "g-r2",
        "reference": {
          "Vin": 5,
          "R1": 1000,
          "R2": 1941.1764705882351,
          "Vout": 3.3,
          "I": 0.0017000000000000001,
          "P1": 0.00289,
          "P2": 0.00561,
          "Ptotal": 0.0085,
          "ratio": 0.66,
          "Rth": 660
        },
        "actual": {
          "Vin": 5,
          "R1": 1000,
          "R2": 1941.1764705882351,
          "Vout": 3.3,
          "I": 0.0017000000000000001,
          "P1": 0.00289,
          "P2": 0.00561,
          "Ptotal": 0.0085,
          "ratio": 0.66,
          "Rth": 660
        },
        "error_ulp": 0,
        "threshold_ulp": 2
      },
      {
        "id": "g-vin",
        "reference": {
          "Vin": 5,
          "R1": 1000,
          "R2": 2000,
          "Vout": 3.3333333333333335,
          "I": 0.0016666666666666668,
          "P1": 0.0027777777777777783,
          "P2": 0.005555555555555557,
          "Ptotal": 0.008333333333333335,
          "ratio": 0.6666666666666666,
          "Rth": 666.6666666666666
        },
        "actual": {
          "Vin": 5,
          "R1": 1000,
          "R2": 2000,
          "Vout": 3.3333333333333335,
          "I": 0.0016666666666666668,
          "P1": 0.0027777777777777783,
          "P2": 0.005555555555555557,
          "Ptotal": 0.008333333333333335,
          "ratio": 0.6666666666666666,
          "Rth": 666.6666666666666
        },
        "error_ulp": 0,
        "threshold_ulp": 2
      }
    ]
  },
  "interfaces": {
    "compared": [
      "ui-ssr",
      "rest",
      "mcp"
    ],
    "result": "PASS",
    "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session."
  },
  "artifacts": {
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        "attestation_binding_current": true,
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        "observed_live_projection_at_attestation": "VERIFIED"
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      {
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        "status": "pass",
        "detail": "matches Manifest",
        "scope": "last_attestation_snapshot",
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        "detail": "matches Manifest",
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        "current": true,
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  "timestamps": {
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    "generated_at": "2026-09-10T03:41:42.411Z"
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  "links": {
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    "evidence_page": "https://www.calculatorx.com/evidence/electrical.voltage_divider/1.5.1",
    "calculator": "https://www.calculatorx.com/calc/electric/voltage-divider",
    "schema": "https://www.calculatorx.com/developers/cvp/schema/cvp-evidence-1.0.json",
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