CVP reproduce

engineering.uncertainty.tur

Independent re-run pack: fixed input vectors, O3 expected values, oracle version, commands, and the last result summary. This is how a reader moves from “CalculatorX says it passed” to “I can reproduce why it passed.”

Reproduce JSON CVP Manifest O3 table Generator REST checker Calculator

Identity

Calculation version, protocol version, and evidence revision are distinct.

Calculation version: 1.0.1
CVP protocol: 1.0.0-proposed · proposed
Evidence revision: 2026-09-23.o2-o3
Oracle: O3 · mpmath 1.4.1 · 80 dps
Generator: tur-mpmath-o3 · seed 20260923.tur-o3
Table SHA-256: 71c97eec7d89476da75fd8e257bda368519bbc2fe7605e74622e18ce663ec48c

Numerical claim

O3 PASS is a tabulated-vector claim, not a whole-domain proof.

O2: ANSI/NCSL Z540.3 two-sided TUR = span/(2U) vs a separate-module identity (≤2 ULP). Not a TUR≥4 verdict, not a guard band, and not U = k·u_c. ≤2 ULP vs O3 applies only to the published tabulated Z540.3 vectors (limits, span, half-width, aliases, and one awkward span). It is not a whole-domain guarantee and does not cover a TUR≥4 verdict, a guard band, or U = k·u_c.

Last O3 run 8 / 8
Max error observed 1 ULP
Threshold ≤ 2 ULP

Commands

Regenerate the table from the public generator. Independent REST check needs only this page's reproduce.json plus stdlib Python — no repo clone and no mpmath. The CVP runner remains a maintainer command.

Regenerate O3 table: python3 generate-tur-o3.py after downloading the public generator next to the table
Repo maintainer path: python3 scripts/lib/cvp/oracles/generate-tur-o3.py
Independent REST check: Compare POST /api/v1/calc/tur against /developers/cvp/reproduce/tur-o3-tables.json after downloading check-math-o3-rest.py next to tur-o3-tables.json (or pass --reproduce reproduce.json)
Re-run CVP: npm run cvp:run -- --capability engineering.uncertainty.tur
REST check: POST https://www.calculatorx.com/api/v1/calc/tur with a tabulated input from the table below

Re-running the generator without changing seed or inputs should reproduce table SHA-256 71c97eec7d89476da75fd8e257bda368519bbc2fe7605e74622e18ce663ec48c. Compare each expected_f64 to the production result within the declared ULP threshold.

Tabulated vectors

Every O3 vector used for the ≤2 ULP claim. Expected values come from the published mpmath table, not from the implementation under test.

ID	Kind	Inputs	Expected (f64)	Actual	ULP	Status
`o3-limits`	limits	`{"U":1,"lsl":0,"usl":5}`	{"oracle_layer":"analytic","TUR":2.5,"T":5,"U":1}	{"TUR":2.5,"T":5,"U":1,"lsl":0,"usl":5}	0	PASS
`o3-span`	span	`{"U":0.5,"T":4}`	{"oracle_layer":"analytic","TUR":4,"T":4,"U":0.5}	{"TUR":4,"T":4,"U":0.5}	0	PASS
`o3-tol`	half	`{"U":0.5,"tol":2}`	{"oracle_layer":"analytic","TUR":4,"T":4,"U":0.5}	{"TUR":4,"T":4,"U":0.5,"tol":2}	0	PASS
`o3-alias`	alias	`{"U_exp":1,"LSL":-1,"USL":3}`	{"oracle_layer":"analytic","TUR":2,"T":4,"U":1}	{"TUR":2,"T":4,"U":1,"lsl":-1,"usl":3}	0	PASS
`o3-span-alias`	alias	`{"span":8,"U":2}`	{"oracle_layer":"analytic","TUR":2,"T":8,"U":2}	{"TUR":2,"T":8,"U":2}	0	PASS
`o3-half`	half	`{"U":0.25,"tol":1}`	{"oracle_layer":"analytic","TUR":4,"T":2,"U":0.25}	{"TUR":4,"T":2,"U":0.25,"tol":1}	0	PASS
`o3-wide`	limits	`{"U":1,"lsl":-10,"usl":10}`	{"oracle_layer":"analytic","TUR":10,"T":20,"U":1}	{"TUR":10,"T":20,"U":1,"lsl":-10,"usl":10}	0	PASS
`o3-awkward`	limits	`{"U":0.15,"lsl":1.1,"usl":3.4}`	{"oracle_layer":"analytic","TUR":7.666666666666667,"T":2.3,"U":0.15}	{"TUR":7.666666666666666,"T":2.3,"U":0.15,"lsl":1.1,"usl":3.4}	1	PASS