mechanical.statics.center_triangle_at_deflection

Three distinct suites: educational examples on the calculator page, this legacy regression count (2/2 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 1.0.0 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 2026-09-27.o2-o3. Calculation version 1.0.0. CVP 1.0.0-proposed. 4/4 golden · 1/1 CVP boundary · 3/3 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 6/6 CVP contract. digest cf9c14973561. O2: delta vs a separate-module identity (≤2 ULP). Not midspan under the same center triangle, and not an end-peaked triangle. ≤2 ULP vs O3 applies only to the published tabulated center-triangle-at vectors.

• Golden (oracle-backed) 4 / 4
• CVP boundary 1 / 1
• Invalid input 3 / 3
• Property 1 / 1
• Metamorphic 1 / 1
• O3 high-precision 8 / 8
• Cross-interface 2 / 2
• 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 1/1 (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 center-peaked triangle at station; + O3 mpmath tabulated δ.
• Assurance Engineering
• Deferred Not midspan under the same center triangle, and not an end-peaked triangle.

• 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:f5651d2f63ffdeb2b0a433afa617cce243067124f371ed95b33531e5a3323f14

Input schema sha256:160af0deb6903ccef4fe5b661e5285a4ee55bef1e2a4529c0fdbec01eb788a3e · Output schema sha256:d0f321afe5b3968a45191984a9ebbc3a9fee86058ea4e600883e6e25965d56ee · 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

center-triangle-at

Engine

center-triangle-at

Engine build

2026-09-27

Evidence core

2026-09-27T08:15:46.336Z

Rendered

2026-11-10T05:18:42.220Z

Last reviewed

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Limitations

• Peak at midspan
• x is strictly inside the span
• I is an input