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Public evidence

math.sin

Machine-checked verification for calculation version 1.0.5 · tier engine_tested

CVP: CVP VERIFIED · CVP protocol 1.0.0-proposed · Core assurance· deg|rad; textbook snap · Protocol · Schema · Production report

Declared partition coverage
PASS · 3/3 declared partitions (sin, invalid-domain, xcal)
Versions
Calculation 1.0.5 · CVP protocol 1.0.0-proposed · Evidence 2026-09-08.xcal
Verification revision
2026-09-08.xcal · 3/3 property · digest f6d938207118

Verification

Legacy regression suite: 11/11 calculation tests · Production surface contract 3/3

Three distinct suites: educational examples on the calculator page, this legacy regression count (11/11 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

    This calculator CURRENT · Public schema 1.0.5 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-08.xcal. Calculation version 1.0.5. CVP 1.0.0-proposed. 4/4 golden · 4/4 CVP boundary · 4/4 invalid · 3/3 property · 3/3 metamorphic · 4/4 round-trip · 18/18 O3 · 1/1 cross-interface · 8/8 cross-calculator · 4/4 URL→result→graph · 1/1 CVP contract. digest f6d938207118. ≤2 ULP vs O3 applies to the 18 published tabulated vectors (common angles 0°…180° plus 8 seeded random angles in (−50°, 50°)). It is not a guarantee over the entire real line, including huge angles or unlisted neighborhoods of zeros.

  • Golden (oracle-backed) 4 / 4
  • CVP boundary 4 / 4
  • Invalid input 4 / 4
  • Property 3 / 3
  • Metamorphic 3 / 3
  • Round-trip 4 / 4
  • O3 high-precision 18 / 18
  • Cross-interface 1 / 1
  • Cross-calculator 8 / 8
  • URL → result → graph 4 / 4
  • CVP contract 1 / 1
  • Interfaces PASS · UI (SSR) / REST / MCP / URL→result→graph
  • Interface claim Success 1/1. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session.
  • Assurance Core
  • release artifacts aligned PASS
  • schema valid input executes PASS
  • engine success output validates schema PASS

Fingerprint sha256:48b508bfafe6f35dd86b2102e8e0b83093028b0b1ae7315a285f23bfc0021bdc

Input schema sha256:5f55b5eaef27893299a8adc79b4533fd125ca54c873e950c9c70f1aeea642c17 · Output schema sha256:1d60626bdf36cd9423d003400edb6b98499dc6b05a3fe3fcd8041417991f7162 · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool
sin
Engine
sin
Engine build
2026-09-10
Evidence core
2026-09-10T22:48:17.762Z
Rendered
2026-09-16T22:03:43.778Z
Last reviewed

Assumptions

  • Real sine. The published engine is forward sin(θ). Opposite/hypotenuse is a local triangle convenience (hypotenuse > 0, opposite ≥ 0, opposite ≤ hypotenuse). Use Arcsin for the inverse API.
  • Algebraic snap applies only when the reduced angle (mod 360°) is a listed identity such as 0°, 30°, 45°, 60°, 90°. Nearby floats, including 30.00000005°, keep IEEE-754 Math.sin.

Limitations

  • Missing theta → MISSING_REQUIRED_INPUT
  • unit must be deg|rad → INVALID_UNIT

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Legacy published checks

Golden and boundary cases from the legacy Evidence JSON. CVP property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the Manifest — including SKIP when a suite has no vectors.

IDKindStatusDetail
deg-30goldenpassExpected 0.5 · Actual 0.5
deg-90goldenpassExpected 1 · Actual 1
deg-0goldenpassExpected 0 · Actual 0
deg-180goldenpassExpected 0 · Actual 0
rad-pi-6goldenpassExpected 0.5 · Actual 0.5
deg-neg-90goldenpassExpected -1 · Actual -1
deg-47-1-ieeegoldenpassExpected 0.7325428987873787 · Actual 0.7325428987873787
missing-thetaboundarypassExpected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
theta-abcboundarypassExpected INVALID_NUMBER · Actual INVALID_NUMBER
theta-objectboundarypassExpected INVALID_NUMBER · Actual INVALID_NUMBER
invalid-unitboundarypassExpected INVALID_UNIT · Actual INVALID_UNIT