physics.fluid.trapezoid_normal_depth

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 2026-10-28.meta-metrics-v2. 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 6e6a649afc61. O2: trapezoid SI Manning yn invert A=(b+z y)y, P=b+2y√(1+z²) vs a separate-module identity (≤2 ULP). Not rectangular yn, not yc, not Manning A,R, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated trapezoid-normal-depth vectors. Not rectangular yn, not yc, and not Manning A,R.

• 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 SI Manning yn invert with A=(b+z y)y and P=b+2y√(1+z²); + O3 mpmath tabulated yn.
• Assurance Engineering
• Deferred Not rectangular yn, not yc, not Manning A,R, not Chezy, 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 sha256:2e79f482c81bcd5c1dc5255a14584e49a8eeb0413810f79acd11d77485df383d

Input schema sha256:99bc5f169155fd75e454fcf0eb51aae8e7e17029ed7274f6e42833481d765706 · Output schema sha256:2fb50ad9d6f5a25c544c5ea4cf64b2a8c1d2bca4462927751dc728a6400e3c99 · 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-normal-depth

Engine

trapezoidal-normal-depth

Engine build

2026-09-24

Evidence core

2026-09-24T02:12:38.088Z

Rendered

2026-11-10T05:18:41.987Z

Last reviewed

—

Assumptions

• Trapezoid uniform flow: Q=(1/n) A R^{2/3} S^{1/2}; A=(b+z yn) yn; P=b+2 yn √(1+z²); SI k=1; z>0 is run/rise; yn is unknown in depth mode
• yn/b∈[0.01, 10]; n∈[0.008, 0.15]; S∈[1e-6, 0.1]; z∈(0, 10]; geometry is b and z, not A and R
• Not rectangular yn; not trapezoid yc; not Manning Q with given A,R; not Chezy C; not Q=Av

Limitations

• Trapezoid uniform-flow normal depth: invert SI Manning Q=(1/n) A R^{2/3} S^{1/2} with A=(b+z yn) yn, P=b+2 yn √(1+z²), R=A/P; yn is unknown; n, S, b, z given
• yn/b∈[0.01, 10]; n∈[0.008, 0.15]; S∈[1e-6, 0.1]; z∈(0, 10]; SI k=1; geometry is b and z, not A and R
• Not rectangular yn; not trapezoid yc; not Manning Q with given A,R; not Chezy C; not Q=Av