physics.fluid.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 2d4c57167695. O2: rectangular SI Manning yn invert A=b y, P=b+2y vs a separate-module identity (≤2 ULP). Not trapezoid yn, not yc, not Manning A,R, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated normal-depth vectors. Not trapezoid 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 Rectangular SI Manning yn invert with A=b y and P=b+2y; + O3 mpmath tabulated yn.
• Assurance Engineering
• Deferred Not trapezoid 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 sha256:457856cf2847ff3376b4cc5507a31a478d5056afb205eceef66fdfd31f4befd3

Input schema sha256:9f1ee1cf34321cf4f34229c7d51b50e0d3fc860a5a654ea5c80beb9e7ed60bf0 · Output schema sha256:f71e2a05b07017cfd76888d180e536f895b2c002379412bf9ee199472c82f93f · 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

normal-depth

Engine

normal-depth

Engine build

2026-09-24

Evidence core

2026-09-24T02:12:38.088Z

Rendered

2026-11-10T05:18:41.980Z

Last reviewed

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Assumptions

• Rectangular uniform flow: Q=(1/n) A R^{2/3} S^{1/2}; A=b yn; R=b yn/(b+2 yn); SI k=1; yn is unknown in depth mode
• yn/b∈[0.01, 10]; n∈[0.008, 0.15]; S∈[1e-6, 0.1]; geometry is b, not A and R
• Not Manning Q with given A,R; not critical depth yc=(q²/g)^{1/3}; not specific energy E; not Chezy C; not Q=Av

Limitations

• Rectangular uniform-flow normal depth: invert SI Manning Q=(1/n) A R^{2/3} S^{1/2} with A=b yn, R=b yn/(b+2 yn); yn is unknown; n, S, b given
• yn/b∈[0.01, 10]; n∈[0.008, 0.15]; S∈[1e-6, 0.1]; SI k=1; geometry is rectangular width b, not A and R
• Not Manning Q with given A,R; not critical depth yc=(q²/g)^{1/3}; not specific energy E; not Chezy C; not Q=Av