{ "protocol": { "name": "CVP", "version": "1.0.0-proposed" }, "document_status": "proposed", "calculator": { "id": "anti-log", "version": "1.0.5", "title": "Antilog Calculator", "formula_family": "antilogarithm", "capability_id": "math.antilog" }, "profile": "core", "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": "anti-log", "version": "1.0.5", "uri": "https://www.calculatorx.com/evidence/math.antilog/1.0.5.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-PROP-01", "CVP-META-01", "CVP-ROUND-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "NIST Digital Library of Mathematical Functions, Chapter 4", "kind": "other", "reference": "Logarithm, Exponential, Powers", "url": "https://dlmf.nist.gov/4" }, { "label": "NIST DLMF §4.2", "kind": "other", "reference": "Logarithm: definitions and inverse of the exponential", "url": "https://dlmf.nist.gov/4.2" }, { "label": "CalculatorX mathematical conventions", "kind": "other", "reference": "Common (base 10), natural (base e), and real bases b > 0, b ≠ 1" } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Antilogarithm as exponentiation" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Precomputed mpmath 1.4.1 antilog (80 dps, python backend, round-to-nearest-binary64) — not Node Math.*", "engine": { "name": "antilog-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "library": "mpmath 1.4.1", "mpmath_dps": 80, "rounding": "round-to-nearest-binary64", "backend": "python", "generator_version": "1.0.0", "generator_sha256": "3453ec60bd03738a1f1f3723baed7e617ff49466452efab1844fe68b8f654cea", "table_sha256": "efdad939a92a67df1f3995db36c52bb87f428a59fc73568f789c02540f4372ee", "seed": "20260907", "source": "https://www.calculatorx.com/developers/cvp/reproduce/math-o3-tables.json", "public_table": "/developers/cvp/reproduce/math-o3-tables.json", "public_generator": "/developers/cvp/reproduce/generate-math-o3.py", "public_checker": "/developers/cvp/reproduce/check-math-o3-rest.py" } }, { "class": "O3", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O3 table vs IUT value; ≤2 ULP on tabulated vectors only, not the whole domain. Distinct from legacy Evidence case-level tol.", "engine": { "name": "antilog-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "library": "mpmath 1.4.1", "mpmath_dps": 80, "rounding": "round-to-nearest-binary64", "backend": "python", "generator_version": "1.0.0", "generator_sha256": "3453ec60bd03738a1f1f3723baed7e617ff49466452efab1844fe68b8f654cea", "table_sha256": "efdad939a92a67df1f3995db36c52bb87f428a59fc73568f789c02540f4372ee", "seed": "20260907", "source": "https://www.calculatorx.com/developers/cvp/reproduce/math-o3-tables.json", "public_table": "/developers/cvp/reproduce/math-o3-tables.json", "public_generator": "/developers/cvp/reproduce/generate-math-o3.py", "public_checker": "/developers/cvp/reproduce/check-math-o3-rest.py" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module antilog oracle — independent b^y", "engine": { "name": "antilog-reference", "precision_bits": 53, "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs ≤2 ULP scalar comparison vs IUT (binary64, not O3)", "engine": { "name": "antilog-reference", "precision_bits": 53, "independent_of_iut": true } } ], "notes": "Golden expected values prefer an O3 mpmath/MPFR table (independent of Node ** / Math.exp). O2 is a live oracle for identities and shares V8 binary64 with the IUT." }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "x = b^y" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "b > 0, b ≠ 1" }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "dimensionless (unitless core)" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O3 mpmath b^y table + O2 live identities" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "14/14 legacy golden; 3/3 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "19/19 boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "19 invalid-domain cases" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "CVP ≤2 ULP vs O3 when tabulated; legacy Evidence `tol` is not this policy" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "2/2 declared partitions (antilog, invalid-domain) · 14 golden / 19 boundary unique cases · 19 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 antilog; 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 1.0.5 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.5 · 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": "SKIP", "applicability": "not_applicable", "notes": "Unitless core calculator — no physical dimension algebra" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "5/5 property" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "4/4 metamorphic" }, "CVP-ROUND-01": { "result": "PASS", "applicability": "applicable", "notes": "5/5 round-trips" }, "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). Success 1/1. Error-path engine·REST·MCP 19/19 (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. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session." }, "CVP-ORACLE-01": { "result": "PASS", "applicability": "higher_assurance", "notes": "O3 15/15 tabulated vectors vs IUT" }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "expert_reviewed=false" } }, "tests": { "golden": { "passed": 3, "total": 3, "failed": 0, "case_ids": [ "g-antilog-100", "g-antilog-1", "g-antilog-e" ] }, "boundary": { "passed": 19, "total": 19, "failed": 0, "case_ids": [ "invalid-base-1", "invalid-base-0", "invalid-base-neg", "empty-y", "nan-y", "overflow", "underflow", "overflow-309", "y-infinity", "y-nan", "y-abc", "y-whitespace", "y-null", "y-object", "y-array", "y-boolean", "b-object", "b-array", "boundary-antilog-base1" ] }, "invalid": { "passed": 19, "total": 19, "failed": 0, "case_ids": [ "invalid-base-1", "invalid-base-0", "invalid-base-neg", "empty-y", "nan-y", "overflow", "underflow", "overflow-309", "y-infinity", "y-nan", "y-abc", "y-whitespace", "y-null", "y-object", "y-array", "y-boolean", "b-object", "b-array", "boundary-antilog-base1" ] }, "property": { "passed": 5, "total": 5, "failed": 0, "case_ids": [ "prop-b-0-10", "prop-b-0-2", "prop-b-0-e", "prop-10-1", "prop-reciprocal-2" ], "definition_ids": [ "b-to-zero", "b-to-one", "b-neg-y" ] }, "round_trip": { "passed": 5, "total": 5, "failed": 0, "case_ids": [ "rt-common-3", "rt-common-0", "rt-binary-3", "rt-natural-3", "rt-half-2" ] }, "metamorphic": { "passed": 4, "total": 4, "failed": 0, "case_ids": [ "meta-add-10", "meta-add-2", "meta-add-e", "meta-neg-2" ], "definition_ids": [ "b-u-plus-v", "b-neg-y" ] }, "contract": { "passed": 1, "total": 1, "failed": 0 }, "cross_interface": { "passed": 20, "total": 20, "failed": 0, "case_ids": [ "iface-antilog", "iface-err-invalid-base-1", "iface-err-invalid-base-0", "iface-err-invalid-base-neg", "iface-err-empty-y", "iface-err-nan-y", "iface-err-overflow", "iface-err-underflow", "iface-err-overflow-309", "iface-err-y-infinity", "iface-err-y-nan", "iface-err-y-abc", "iface-err-y-whitespace", "iface-err-y-null", "iface-err-y-object", "iface-err-y-array", "iface-err-y-boolean", "iface-err-b-object", "iface-err-b-array", "iface-err-boundary-antilog-base1" ] }, "ui_integration": { "passed": 4, "total": 4, "failed": 0, "case_ids": [ "ui-antilog-0", "ui-antilog-1", "ui-antilog-2", "ui-antilog-3" ] }, "o3": { "passed": 15, "total": 15, "failed": 0, "case_ids": [ "o3-antilog-10-0.0", "o3-antilog-10-1.0", "o3-antilog-10-2.0", "o3-antilog-10-3.0", "o3-antilog-10--1.0", "o3-antilog-2-3", "o3-antilog-e-1", "o3-antilog-e-0", "o3-antilog-10-half", "o3-antilog-2-cbrt", "o3-antilog-e-3", "o3-antilog-near-base-one", "o3-antilog-10-308", "o3-antilog-10-neg323", "o3-antilog-tiny-base" ], "generator_id": "math-mpmath-o3", "seed": "20260907", "max_error_ulp": 1 } }, "coverage": { "partitions": [ { "id": "antilog", "description": "x = b^y", "exercised": true, "case_count": 46 }, { "id": "invalid-domain", "description": "Invalid inputs", "exercised": true, "case_count": 19 } ] }, "numerical": { "representation": "IEEE-754 binary64 b**y / Math.exp", "tolerance": { "type": "ulp", "value": 2, "rationale": "Independent exponentiation vs IUT antilog; ≤2 ULP. Declared a priori.", "declared_before_evaluation": true }, "legacy_regression_notes": "Legacy Evidence JSON may record case-level tol (e.g. 1e-8). That is a regression epsilon, not the CVP ≤2 ULP acceptance policy. CVP records list reference, actual, error_ulp, and the a-priori ULP threshold.", "max_error_observed": 1, "records": [ { "id": "g-antilog-100", "reference": 100, "actual": 100, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "g-antilog-1", "reference": 1, "actual": 1, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "g-antilog-e", "reference": 2.718281828459045, "actual": 2.718281828459045, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-10-0.0", "reference": 1, "actual": 1, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-10-1.0", "reference": 10, "actual": 10, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-10-2.0", "reference": 100, "actual": 100, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-10-3.0", "reference": 1000, "actual": 1000, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-10--1.0", "reference": 0.1, "actual": 0.1, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-2-3", "reference": 8, "actual": 8, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-e-1", "reference": 2.718281828459045, "actual": 2.718281828459045, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-e-0", "reference": 1, "actual": 1, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-10-half", "reference": 3.1622776601683795, "actual": 3.1622776601683795, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-2-cbrt", "reference": 1.2599210498948732, "actual": 1.2599210498948732, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-e-3", "reference": 20.085536923187668, "actual": 20.085536923187668, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-near-base-one", "reference": 1.000000000000002, "actual": 1.0000000000000022, "error_ulp": 1, "threshold_ulp": 2 }, { "id": "o3-antilog-10-308", "reference": 1e+308, "actual": 1e+308, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-10-neg323", "reference": 1e-323, "actual": 1e-323, "error_ulp": 0, "threshold_ulp": 2 }, { "id": "o3-antilog-tiny-base", "reference": 1e-200, "actual": 1e-200, "error_ulp": 0, "threshold_ulp": 2 } ] }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp", "ui-url-result-graph" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). Success 1/1. Error-path engine·REST·MCP 19/19 (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. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session." }, "artifacts": { "evidence_bundle_sha256": "1eebe086faf537f29b472d01dccfe26f576a3b31979ed7e56bde5c470782b714", "evidence_digest": "ab8e531bb15d4e6de5be37d41c37b6406ef2819faa47e6b0e502b6b6d23c4b6f", "production_sha256": "9424f31d3ca937ec4a453e41479201945df6495214f0a220ebb742e7fd1c3f20", "attested_catalog_sha256": "e03ef81b30568018b171fd1fc4757c2abe9df7220d9ff35bbaf08038d7630cdb", "production_checks": [ { "id": "math.antilog:output-const", "status": "pass", "detail": "output const 1.0.5 vs capability 1.0.5", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.antilog:evidence-sha256", "status": "pass", "detail": "0660ca78d621", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.antilog:semantic-contract", "status": "pass", "detail": "33/33", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.antilog:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.0.5 vs origin 1.0.5", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.antilog:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.antilog/1.0.5/-/core/ab8e531bb15d", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z", "projection_compared": false, "observed_live_projection_at_attestation": "VERIFIED" }, { "id": "math.antilog:calculator-html-cvp-projection", "status": "pass", "detail": "matches Manifest", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" }, { "id": "math.antilog:evidence-html-cvp-projection", "status": "pass", "detail": "matches Manifest", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-10T02:52:51.379Z" } ] }, "dependencies": [ { "name": "antilog-engine", "version": "1.0.5" }, { "name": "antilog-reference-oracle", "version": "1.0.0" }, { "name": "antilog-o3-mpmath-table", "version": "math-mpmath-o3" }, { "name": "node", "version": "20.19.2" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "00c818a77ba026c2d6aa3f7402680cd2dac2a40a816209600bc3c3fcd0b8921c", "attested_at": "2026-09-10T02:52:51.379Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.0.5" }, "timestamps": { "verified_at": "2026-09-10T03:41:49.670Z", "generated_at": "2026-09-10T03:41:49.670Z" }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.antilog/1.0.5.json", "evidence_page": "https://www.calculatorx.com/evidence/math.antilog/1.0.5", "calculator": "https://www.calculatorx.com/calc/math/anti-log", "schema": "https://www.calculatorx.com/developers/cvp/schema/cvp-evidence-1.0.json", "protocol": "https://www.calculatorx.com/developers/cvp/spec/1.0", "manifest": "https://www.calculatorx.com/evidence/math.antilog/1.0.5.cvp.json" } }