engineering.process.cpmk

Three distinct suites: educational examples on the calculator page, this legacy regression count (7/7 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 1.0.1 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 2026-09-24.o2-o3. Calculation version 1.0.1. CVP 1.0.0-proposed. 4/4 golden · 3/3 CVP boundary · 6/6 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 3/3 cross-interface · 6/6 CVP contract. digest 1bc90998298e. O2: design-stage Taguchi Cpmk vs a separate-module identity (≤2 ULP). Not Cpm, not Cpk, and not a Cpmk≥1.33 verdict. ≤2 ULP vs O3 applies only to the published tabulated Cpmk vectors (on target, off target, below target, an alias, a wider σ, a target away from the midpoint, one awkward sample, and a tiny offset). It is not a whole-domain guarantee and does not cover Cpm, Cpk, or a Cpmk≥1.33 verdict.

• Golden (oracle-backed) 4 / 4
• CVP boundary 3 / 3
• Invalid input 6 / 6
• Property 1 / 1
• Metamorphic 1 / 1
• O3 high-precision 8 / 8
• Cross-interface 3 / 3
• 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 Design-stage Taguchi Cpmk from stated μ, σ, LSL, USL, and a target, + O3 mpmath tabulated Cpmk.
• Assurance Engineering
• Deferred Not Cpm, not Cpk, not Ppmk from a sample, and not a Cpmk≥1.33 verdict.

• 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:d686b0fa42bd74defdaa8bf325aea64e71c2eb7aaadc42987d210675b427761e

Input schema sha256:3eb459ae841daa82da452238d03086d37dda245dc745a5843990d0211e813531 · Output schema sha256:a83138ed0e66c55e99eb987cd7a6cbe86ba87e064ad5a8ca8ac3b1a3418c2da8 · 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

cpmk

Engine

cpmk

Engine build

2026-09-23

Evidence core

2026-09-23T21:41:47.178Z

Rendered

2026-10-22T08:54:34.757Z

Last reviewed

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Assumptions

• Taguchi Cpmk = min(USL−μ, μ−LSL)/(3√(σ²+(μ−target)²)) from stated μ, σ, LSL, USL, and target.
• Not Cpm (two-sided span), not Cpk (no target in the denominator), not Ppm, and not a 1.33 verdict.

Limitations

• Design-stage from stated μ and σ — not measured in-control SPC
• Not Cpm (that uses the two-sided span USL−LSL)
• Not Cpk (Cpk has no target in the denominator)
• Not Ppm (that uses sample s)
• This page does not issue a Cpmk≥1.33 verdict