Home Developers Evidence math.sin

Public evidence

math.sin

Machine-checked verification for calculation version 1.0.5 · tier engine_tested

Historical evidence. This page is version 1.0.5 · engine_tested · 11/11 tests. It is not the current published claim. Current evidence is 1.1.0 (11/11 tests) · latest.

CVP status

CVP VERIFIED · production STALE · CVP protocol 1.0.0-proposed · Core assurance

deg|rad; textbook snap

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 5/5

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.

    STALE · Build schema 1.1.0 matches page · production binding STALE · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · CVP STALE · attestation STALE — Production CURRENT withheld · 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 output required declared PASS
  • schema valid input executes PASS
  • engine success output validates schema PASS
  • rest success payload 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
2026-10-14
Evidence core
2026-10-14T02:50:33.742Z
Rendered
2026-10-27T11:18:13.224Z
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.

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.