{
  "protocol": {
    "name": "CVP",
    "version": "1.0.0-proposed"
  },
  "document_status": "proposed",
  "calculator": {
    "id": "adc-error-budget",
    "version": "1.0.0",
    "title": "ADC Error Budget Calculator",
    "formula_family": "lsb-error-combine",
    "capability_id": "electrical.adc.error_budget",
    "verification_revision": "2026-09-09.o2-reproduce"
  },
  "profile": "engineering",
  "verified_scope": "static DC LSB error-budget calculation",
  "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": "adc-error-budget",
    "version": "1.0.0",
    "uri": "https://www.calculatorx.com/evidence/electrical.adc.error_budget/1.0.0.json",
    "verification_revision": "2026-09-09.o2-reproduce"
  },
  "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-META-01",
    "CVP-IFACE-01"
  ],
  "provenance": {
    "mode": "direct",
    "sources": [
      {
        "label": "IEEE Std 1241 — ADC terminology",
        "kind": "standard",
        "reference": "Gain, offset, INL, DNL"
      },
      {
        "label": "TI SLAA587 — ADC Performance Parameters",
        "kind": "other",
        "reference": "Total unadjusted error (TUE)",
        "url": "https://www.ti.com/lit/pdf/slaa587"
      },
      {
        "label": "Analog Devices — The ABCs of Analog-to-Digital Converters",
        "kind": "other",
        "reference": "How ADC errors affect system performance",
        "url": "https://www.analog.com/en/resources/technical-articles/the-abcs-of-analog-to-digital-converters-how-adc-errors-affect-system-performance.html"
      }
    ]
  },
  "reference": {
    "items": [
      {
        "class": "O1",
        "reference_scope": "model",
        "scope": "model",
        "label": "LSB definition and RSS / worst-case error combination"
      },
      {
        "class": "O2",
        "reference_scope": "expected_values",
        "scope": "expected_values",
        "label": "Separate-module ADC error-budget oracle — same V8 binary64 as IUT",
        "engine": {
          "name": "adc-error-budget-reference",
          "precision_bits": 53,
          "independent_of_iut": true,
          "same_runtime_as_iut": true,
          "source": "/developers/cvp/reproduce/adc-error-budget-reference.mjs"
        }
      },
      {
        "class": "O2",
        "reference_scope": "numerical_behavior",
        "scope": "numerical_behavior",
        "label": "Same O2 module backs ≤2 ULP err_LSB / LSB_V / err_V / %FS comparison vs IUT",
        "engine": {
          "name": "adc-error-budget-reference",
          "precision_bits": 53,
          "independent_of_iut": true,
          "same_runtime_as_iut": true,
          "source": "/developers/cvp/reproduce/adc-error-budget-reference.mjs"
        }
      }
    ],
    "notes": "Golden expected values come from scripts/lib/cvp/oracles/adc-error-budget-reference.mjs (also published at /developers/cvp/reproduce/adc-error-budget-reference.mjs). That module MUST NOT import the IUT. It reimplements the published LSB/RSS/worst-case identities; algebraic similarity to the engine is expected. O2 shares Node/V8 binary64 (same_runtime_as_iut). O3 is not required this wave. Reproduce: node public/developers/cvp/reproduce/check-adc-error-budget-o2.mjs"
  },
  "controls": {
    "CVP-PROV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "Sources present on evidence"
    },
    "CVP-MODEL-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "LSB = FSR/2^N; combine gain/offset/INL/DNL via RSS or worst-case"
    },
    "CVP-SCOPE-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "Static DC error budget in LSB, volts, and %FS. VERIFIED covers this calculation model, not measured converter performance, not dynamic SNR/jitter, and not datasheet TUE conventions that omit DNL."
    },
    "CVP-UNIT-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "bits, V, LSB"
    },
    "CVP-REF-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "O1 model + O2 expected_values + O2 numerical_behavior"
    },
    "CVP-GOLD-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "3/3 legacy golden; 6/6 oracle-backed numeric"
    },
    "CVP-BND-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "6/6 boundary"
    },
    "CVP-INV-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "5 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": "6/6 declared partitions (rss, worst_case, zero-error, bit-width-bounds, single-term, invalid-domain) · 6 oracle-backed golden · 6 legacy boundary · 5 invalid-input · 4 enumerated fixed properties · 6 metamorphic"
    },
    "CVP-CONTRACT-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "1/1 contract checks"
    },
    "CVP-DEP-01": {
      "result": "PASS",
      "applicability": "required",
      "notes": "engine adc-error-budget; 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 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.0 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · cvp-reproduce-manifest-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 and LSB relations"
    },
    "CVP-PROP-01": {
      "result": "PASS",
      "applicability": "applicable",
      "notes": "4/4 property · enumerated fixed assertions (not generated; no seed)"
    },
    "CVP-META-01": {
      "result": "PASS",
      "applicability": "applicable",
      "notes": "6/6 metamorphic"
    },
    "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. Error-path engine·REST·MCP 4/4 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only. Probes use local Node handlers (query-result, calc API, MCP executeCalculation), not live production HTTP."
    },
    "CVP-ORACLE-01": {
      "result": "SKIP",
      "applicability": "higher_assurance",
      "notes": "O2 present; O3 not required this wave"
    },
    "CVP-EXP-01": {
      "result": "PASS",
      "applicability": "optional",
      "notes": "expert_reviewed=true"
    }
  },
  "tests": {
    "golden": {
      "passed": 6,
      "total": 6,
      "failed": 0,
      "case_ids": [
        "g-rss-12b",
        "g-wca",
        "g-zero",
        "g-rss-1b",
        "g-rss-32b",
        "g-single-gain"
      ]
    },
    "boundary": {
      "passed": 6,
      "total": 6,
      "failed": 0,
      "case_ids": [
        "bad-bits",
        "bad-bits-frac",
        "bad-bits-high",
        "bad-combine",
        "boundary-adc",
        "boundary-adc-bad"
      ]
    },
    "invalid": {
      "passed": 5,
      "total": 5,
      "failed": 0,
      "case_ids": [
        "bad-bits",
        "bad-bits-frac",
        "bad-bits-high",
        "bad-combine",
        "boundary-adc-bad"
      ]
    },
    "property": {
      "passed": 4,
      "total": 4,
      "failed": 0,
      "case_ids": [
        "prop-single-gain",
        "prop-zero",
        "prop-wca-sum",
        "prop-nbits-contract"
      ],
      "kind": "fixed",
      "claim_scope": "Enumerated fixed assertions (single-term, zero, worst-case sum, n_bits contract). Not generated/random property tests; no seed or generator_version.",
      "definition_ids": [
        "single-term-rss",
        "zero-error",
        "worst-case-sum",
        "n-bits-integer-range"
      ]
    },
    "round_trip": {
      "passed": 0,
      "total": 0,
      "failed": 0,
      "case_ids": []
    },
    "metamorphic": {
      "passed": 6,
      "total": 6,
      "failed": 0,
      "case_ids": [
        "meta-rss-scale-2",
        "meta-wca-scale-2",
        "meta-fsr-scale-2-lsb",
        "meta-fsr-scale-2-v",
        "meta-sign-rss",
        "meta-sign-wca"
      ],
      "definition_ids": [
        "error-scale",
        "fsr-scale",
        "error-sign-invariance"
      ]
    },
    "contract": {
      "passed": 1,
      "total": 1,
      "failed": 0
    },
    "cross_interface": {
      "passed": 6,
      "total": 6,
      "failed": 0,
      "case_ids": [
        "iface-rss",
        "iface-wca",
        "iface-err-bits-frac",
        "iface-err-bits-low",
        "iface-err-fsr",
        "iface-err-combine"
      ]
    }
  },
  "coverage": {
    "partitions": [
      {
        "id": "rss",
        "description": "RSS combine",
        "exercised": true,
        "case_count": 14
      },
      {
        "id": "worst_case",
        "description": "Worst-case combine",
        "exercised": true,
        "case_count": 5
      },
      {
        "id": "zero-error",
        "description": "All error terms zero / omitted",
        "exercised": true,
        "case_count": 3
      },
      {
        "id": "bit-width-bounds",
        "description": "n_bits = 1 or 32",
        "exercised": true,
        "case_count": 2
      },
      {
        "id": "single-term",
        "description": "Exactly one non-zero LSB error term",
        "exercised": true,
        "case_count": 3
      },
      {
        "id": "invalid-domain",
        "description": "Invalid inputs",
        "exercised": true,
        "case_count": 5
      }
    ]
  },
  "numerical": {
    "representation": "IEEE-754 binary64",
    "claim_scope": "Static DC LSB/V/%FS error-budget vs independent O2 (same V8, ≤2 ULP on err_LSB, LSB_V, err_V, err_pct_FS, codes). Not measured converter accuracy, not datasheet TUE that omits DNL, not O3.",
    "tolerance": {
      "type": "ulp",
      "value": 2,
      "rationale": "RSS/worst-case LSB combine vs separate-module O2 (same V8). Not measured ADC accuracy. Declared a priori.",
      "declared_before_evaluation": true
    },
    "max_error_observed": 0,
    "records": [
      {
        "id": "g-rss-12b",
        "reference": {
          "n_bits": 12,
          "FSR_V": 3.3,
          "codes": 4096,
          "LSB_V": 0.0008056640625,
          "combine": "rss",
          "err_LSB": 1.5811388300841898,
          "err_V": 0.0012738667332221254,
          "err_pct_FS": 0.03860202221885229
        },
        "actual": {
          "n_bits": 12,
          "FSR_V": 3.3,
          "codes": 4096,
          "LSB_V": 0.0008056640625,
          "combine": "rss",
          "gain_err_LSB": 1,
          "offset_err_LSB": 0.5,
          "inl_LSB": 1,
          "dnl_LSB": 0.5,
          "err_LSB": 1.5811388300841898,
          "err_V": 0.0012738667332221254,
          "err_pct_FS": 0.03860202221885229
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "err_LSB": {
            "ok": true,
            "error_ulp": 0
          },
          "LSB_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_pct_FS": {
            "ok": true,
            "error_ulp": 0
          },
          "codes": {
            "ok": true,
            "error_ulp": 0
          }
        }
      },
      {
        "id": "g-wca",
        "reference": {
          "n_bits": 12,
          "FSR_V": 3.3,
          "codes": 4096,
          "LSB_V": 0.0008056640625,
          "combine": "worst_case",
          "err_LSB": 3,
          "err_V": 0.0024169921874999997,
          "err_pct_FS": 0.07324218749999999
        },
        "actual": {
          "n_bits": 12,
          "FSR_V": 3.3,
          "codes": 4096,
          "LSB_V": 0.0008056640625,
          "combine": "worst_case",
          "gain_err_LSB": 1,
          "offset_err_LSB": 0.5,
          "inl_LSB": 1,
          "dnl_LSB": 0.5,
          "err_LSB": 3,
          "err_V": 0.0024169921874999997,
          "err_pct_FS": 0.07324218749999999
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "err_LSB": {
            "ok": true,
            "error_ulp": 0
          },
          "LSB_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_pct_FS": {
            "ok": true,
            "error_ulp": 0
          },
          "codes": {
            "ok": true,
            "error_ulp": 0
          }
        }
      },
      {
        "id": "g-zero",
        "reference": {
          "n_bits": 10,
          "FSR_V": 5,
          "codes": 1024,
          "LSB_V": 0.0048828125,
          "combine": "rss",
          "err_LSB": 0,
          "err_V": 0,
          "err_pct_FS": 0
        },
        "actual": {
          "n_bits": 10,
          "FSR_V": 5,
          "codes": 1024,
          "LSB_V": 0.0048828125,
          "combine": "rss",
          "gain_err_LSB": 0,
          "offset_err_LSB": 0,
          "inl_LSB": 0,
          "dnl_LSB": 0,
          "err_LSB": 0,
          "err_V": 0,
          "err_pct_FS": 0
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "err_LSB": {
            "ok": true,
            "error_ulp": 0
          },
          "LSB_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_pct_FS": {
            "ok": true,
            "error_ulp": 0
          },
          "codes": {
            "ok": true,
            "error_ulp": 0
          }
        }
      },
      {
        "id": "g-rss-1b",
        "reference": {
          "n_bits": 1,
          "FSR_V": 3.3,
          "codes": 2,
          "LSB_V": 1.65,
          "combine": "rss",
          "err_LSB": 1.5811388300841898,
          "err_V": 2.608879069638913,
          "err_pct_FS": 79.05694150420949
        },
        "actual": {
          "n_bits": 1,
          "FSR_V": 3.3,
          "codes": 2,
          "LSB_V": 1.65,
          "combine": "rss",
          "gain_err_LSB": 1,
          "offset_err_LSB": 0.5,
          "inl_LSB": 1,
          "dnl_LSB": 0.5,
          "err_LSB": 1.5811388300841898,
          "err_V": 2.608879069638913,
          "err_pct_FS": 79.05694150420949
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "err_LSB": {
            "ok": true,
            "error_ulp": 0
          },
          "LSB_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_pct_FS": {
            "ok": true,
            "error_ulp": 0
          },
          "codes": {
            "ok": true,
            "error_ulp": 0
          }
        }
      },
      {
        "id": "g-rss-32b",
        "reference": {
          "n_bits": 32,
          "FSR_V": 3.3,
          "codes": 4294967296,
          "LSB_V": 7.683411240577697e-10,
          "combine": "rss",
          "err_LSB": 1.5811388300841898,
          "err_V": 1.2148539859982733e-9,
          "err_pct_FS": 3.681375715146283e-8
        },
        "actual": {
          "n_bits": 32,
          "FSR_V": 3.3,
          "codes": 4294967296,
          "LSB_V": 7.683411240577697e-10,
          "combine": "rss",
          "gain_err_LSB": 1,
          "offset_err_LSB": 0.5,
          "inl_LSB": 1,
          "dnl_LSB": 0.5,
          "err_LSB": 1.5811388300841898,
          "err_V": 1.2148539859982733e-9,
          "err_pct_FS": 3.681375715146283e-8
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "err_LSB": {
            "ok": true,
            "error_ulp": 0
          },
          "LSB_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_pct_FS": {
            "ok": true,
            "error_ulp": 0
          },
          "codes": {
            "ok": true,
            "error_ulp": 0
          }
        }
      },
      {
        "id": "g-single-gain",
        "reference": {
          "n_bits": 12,
          "FSR_V": 3.3,
          "codes": 4096,
          "LSB_V": 0.0008056640625,
          "combine": "rss",
          "err_LSB": 1,
          "err_V": 0.0008056640625,
          "err_pct_FS": 0.0244140625
        },
        "actual": {
          "n_bits": 12,
          "FSR_V": 3.3,
          "codes": 4096,
          "LSB_V": 0.0008056640625,
          "combine": "rss",
          "gain_err_LSB": 1,
          "offset_err_LSB": 0,
          "inl_LSB": 0,
          "dnl_LSB": 0,
          "err_LSB": 1,
          "err_V": 0.0008056640625,
          "err_pct_FS": 0.0244140625
        },
        "error_ulp": 0,
        "threshold_ulp": 2,
        "fields": {
          "err_LSB": {
            "ok": true,
            "error_ulp": 0
          },
          "LSB_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_V": {
            "ok": true,
            "error_ulp": 0
          },
          "err_pct_FS": {
            "ok": true,
            "error_ulp": 0
          },
          "codes": {
            "ok": true,
            "error_ulp": 0
          }
        }
      }
    ]
  },
  "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. Error-path engine·REST·MCP 4/4 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only. Probes use local Node handlers (query-result, calc API, MCP executeCalculation), not live production HTTP."
  },
  "artifacts": {
    "evidence_bundle_sha256": "cad04ed5083fed4dfcfff73237f2d7f1770a45bf23aa2492a9186ef87db7ba89",
    "evidence_digest": "39673b9b9f33d295029becbd03a83491d7c1ae020b2dd0e92a35210fdea1b45c",
    "production_sha256": "9424f31d3ca937ec4a453e41479201945df6495214f0a220ebb742e7fd1c3f20",
    "attested_catalog_sha256": "e03ef81b30568018b171fd1fc4757c2abe9df7220d9ff35bbaf08038d7630cdb",
    "production_checks": [
      {
        "id": "electrical.adc.error_budget:output-const",
        "status": "pass",
        "detail": "output const 1.0.0 vs capability 1.0.0",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
        "attested_at": "2026-09-10T02:52:51.379Z"
      },
      {
        "id": "electrical.adc.error_budget:evidence-sha256",
        "status": "pass",
        "detail": "3972d8f951e4",
        "scope": "last_attestation_snapshot",
        "current": true,
        "attestation_binding_current": true,
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