math.sin

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 1.0.6 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 2026-10-28.meta-metrics-v2. Calculation version 1.0.6. CVP 1.0.0-proposed. 121/121 golden · 4/4 CVP boundary · 31/31 invalid · 3/3 property · 2/2 metamorphic · 148/148 cross-interface · 1/1 cross-calculator · 6/6 CVP contract. digest 3211222bd364. 121fixedvectors

• Golden (oracle-backed) 121 / 121
• CVP boundary 4 / 4
• Invalid input 31 / 31
• Property 3 / 3
• Metamorphic 2 / 2
• Cross-interface 148 / 148
• Cross-calculator 1 / 1
• CVP contract 6 / 6
• Interfaces PASS · UI (SSR) / REST / MCP
• Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 27/27 (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.
• Verified scope angle deg/rad andopposite/hypotenuse ratio
• Assurance Core

• release artifacts aligned PASS
• schema output required declared PASS
• schema valid input executes PASS
• engine success output validates schema PASS
• schema rejects incomplete input PASS
• rest success payload validates schema PASS

Fingerprint sha256:f61a2a379657eda22d1be9aa9684bf13794dca778dd354020768a0ebd6b4e3d4

Input schema sha256:9d04ede0a65f700a009f935933147c7d62b9b820e3f936b7be259048413372e6 · Output schema sha256:b63fdffedbb813a3b22958011bf06a5f7856e22b152ba2fbc8ef24fd37519f78 · 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.

Tool

sin

Engine

sin

Engine build

2026-10-28

Evidence core

2026-10-28T02:13:45.535Z

Rendered

2026-10-28T03:01:57.876Z

Last reviewed

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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

• Angle mode: finite binary64 theta; a nonzero degree sine rounding tozero rejects RESULT_UNDERFLOW; deg(default) or rad. Degree reduction uses signed remainder before quadrant reduction; no add360 or angle-proximity epsilon. Listed common degree angles and 17 normalized binary64 radian tokens within ±2π use symbolic recognition, not mathematical exactness of floating-point radians.
• Ratio mode: finite opposite≥0, hypotenuse>0 and opposite≤hypotenuse; returns opposite/hypotenuse. A nonzero ratio rounding tozero rejects RESULT_UNDERFLOW. Angle fields in ratio mode and side fields in angle mode reject UNEXPECTED_INPUT.
• Numeric aliases theta/t/angle/thetaInput, opposite/oppInput and hypotenuse/hypInput must agree; unit/unitInput normalize degree(s)/°/radian(s), case/space accepted. Missing mode defaultsangle. Unknown keys reject. Explicit null/blank numeric fields reject; null/blank unit defaultsdeg.
• Strict decimal/scientific source text ≤512 characters; hexadecimal, booleans and grouped numbers reject. Nonzero text rounding tozero rejects NUMERIC_UNDERFLOW. RawJSON numbers are checked before lossy parse; finite subnormal accepted.
• Independent Decimal420/620 Taylor/Machin and Fraction references:2ULP fixed-vector ceiling; zero/sign/types strict. Legacy18 O3 samples retain2ULP budget; no whole-domain or cross-runtime bitwise guarantee. Radian generic path uses Math.sin; degrees reduced before conversion.
• Nearzeros relative conditioning is unbounded; large input spacing loses source angle information before computation. Sine may legitimately round to±1. Display12significant digits falls back tofull binary64 if rounding changes a boundary. Native exports preserve full scalar and raw inputs.
• Graph omitted in ratio mode and for |theta|>1e6; diagram/derived angle is not independent verification. Typing local; sharedURLs/REST/MCP send inputs and may enter logs.