physics.fluid.trapezoid_specific_force

Three distinct suites: educational examples on the calculator page, this legacy regression count (6/6 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 2026-09-26.o2-o3.cov. Calculation version 1.0.0. CVP 1.0.0-proposed. 5/5 golden · 1/1 CVP boundary · 2/2 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 6/6 CVP contract. digest 76935a87cec7. O2: trapezoid M=Q²/(gA)+A ȳ with A=(b+z y)y and ȳ=y(3b+2zy)/(6(b+zy)) vs a separate-module identity (≤2 ULP). Not rectangular ȳ=y/2, not jump y2, not E, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated trapezoid-specific-force vectors. Not rectangular E, not yc, and not yn.

• Golden (oracle-backed) 5 / 5
• CVP boundary 1 / 1
• Invalid input 2 / 2
• 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 Trapezoid M = Q²/(gA) + A ȳ with A=(b+z y)y; + O3 mpmath tabulated M.
• Assurance Engineering
• Deferred Not rectangular ȳ=y/2, not depth invert, not jump y2, not E, and not Q=Av.

• 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 sha256:08263a87eeded554c44bc7f940646489e0f6d801d457ec729ed3523d46411a33

Input schema sha256:ba86af57a5d9411ba3b304b559ed5872e51eac18ff3a291b859f978c5480ff07 · Output schema sha256:ef8c147b4741359949d923614a63f64ef3b038ffd2916b7d77e48572b529e83d · 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

trapezoidal-specific-force

Engine

trapezoidal-specific-force

Engine build

2026-09-24

Evidence core

2026-09-24T02:12:38.088Z

Rendered

2026-11-10T05:18:41.993Z

Last reviewed

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Assumptions

• Trapezoid specific force: M = Q²/(gA) + A ȳ with A=(b+z y)y and ȳ=y(3b+2zy)/(6(b+zy)); SI; default g=9.80665; M is m²; z>0 is run/rise
• Unknown is M (force mode) or y (depth invert, subcritical y>yc by default); conjugate y_alt is reported; Fr is reported not an input
• Not rectangular ȳ=y/2; not trapezoid sequent y2; not trapezoid specific energy E; not Manning n; not Q=Av

Limitations

• Trapezoid specific force: M = Q²/(gA) + A ȳ with A=(b+z y)y and ȳ=y(3b+2zy)/(6(b+zy)); SI; default g=9.80665; M is m²; z>0 is run/rise
• Unknown is M (force mode) or y (depth invert, subcritical y>yc by default); conjugate y_alt is reported; Fr is reported not an input
• Not rectangular ȳ=y/2; not trapezoid sequent y2; not trapezoid specific energy E; not Manning n; not Q=Av