math.tan

Three distinct suites: educational examples on the calculator page, this legacy regression count (25/25 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 1.0.5 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 1.0.5. CVP 1.0.0-proposed. 121/121 golden · 10/10 CVP boundary · 36/36 invalid · 2/2 property · 2/2 metamorphic · 149/149 cross-interface · 1/1 cross-calculator · 6/6 CVP contract. digest 9a7f190fd7c1. 121fixedvectors

• Golden (oracle-backed) 121 / 121
• CVP boundary 10 / 10
• Invalid input 36 / 36
• Property 2 / 2
• Metamorphic 2 / 2
• Cross-interface 149 / 149
• 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 28/28 (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, exact declared poles and finite near-singularity warning envelope
• 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 sha256:84cbf1f3d8fae83c2843068d07f0c230f0596e8fdbe80468ceeb8e28a580b00c

Input schema sha256:a93b8812d9fad78406a01aed96db21ee20b350ee865aa8e9530f3394f9531022 · Output schema sha256:dd04f8a00c61afc999d18ba2eea30cd72613172f075a0d1f430e5dc76d566abf · 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

tan

Engine

tan

Engine build

2026-10-28

Evidence core

2026-10-28T03:01:12.387Z

Rendered

2026-10-28T03:17:38.201Z

Last reviewed

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Assumptions

• Finite binary64 model. Common degree angles and17 listed normalized binary64 radian magnitudes within2π andtheir signed counterparts use symbolic recognition; generic radian values use Math.tan. No epsilon pole window or tiny-result cleanup.
• Inverse tangent is the separate published Arctan capability. Typing calculates locally; shareURLs andREST/MCP send parameters andmayenterlogs.

Limitations

• Finite binary64 angle;deg(default) orrad. Strict decimal/scientific text<=512characters;unknownkeys/conflictingaliases reject. Null/blank numeric rejects;null/blankunit defaultsdeg. Nonzero source text rounding0 rejectsNUMERIC_UNDERFLOW.
• Degree reduction before conversion,stable tan/cotangent offsets;exact odd90degree poles rejectUNDEFINED without epsilon.17 listed normalized binary64 radian magnitudes within2pi andsignedcounterparts use symbolic recognition;only pi/2 and3pi/2 pole tokens andtheir negatives reject. Genericradians useMath.tan.
• Nonzero finite input producingzero rejectsRESULT_UNDERFLOW except declaredsymboliczero identities. Nonfinite result rejectsRESULT_OVERFLOW. Finite output is scalar;|value|>5729.57789313059 returns{value,warnings:[NEAR_SINGULARITY]}.
• 121 independent Decimal420/620 Taylor/Machin referencevectors:2ULPfixedvector budget;zero/sign/types/warnings strict,actualULP reported;16legacyO3values retainedseparately. Noall-domain/cross-runtime guarantee. Nearpoles inputuncertainty strongly amplifies;huge inputspacing losesphase beforecomputation.
• Display12significantdigits fallsbacktofullbinary64 if rounding erases nonzero orchanges±1. Fullscalar/warnings/rawinputs preservedin native exports. Graph omitted when|theta|>1e6 or|value|>8,not calculation failure.
• Inverse tangent usespublished Arctan capability viaexplicitnavigation. Typinglocal;shareURLs/REST/MCP sendinputs andmayenterlogs.