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CVP reproduce

mechanical.statics.overhang_span_deflection

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.”

Identity

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

Calculation version
1.0.0
CVP protocol
1.0.0-proposed · proposed
Evidence revision
2026-09-27.o2-o3
Oracle
O3 · mpmath 1.4.1 · 80 dps
Generator
overhang-span-deflection-mpmath-o3 · seed 20260927.overhang-span-deflection-o3
Table SHA-256
8c818051475eb2b30dece3ebfd8267c24b6ef0f6d53aa3d2a8223b44261e01a0

Numerical claim

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

O2: delta vs a separate-module identity (≤2 ULP). Not the overhang-end deflection page, and not a station curve. ≤2 ULP vs O3 applies only to the published tabulated overhang-span-deflection vectors.

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

Re-running the generator without changing seed or inputs should reproduce table SHA-256 8c818051475eb2b30dece3ebfd8267c24b6ef0f6d53aa3d2a8223b44261e01a0. 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.

IDKindInputsExpected (f64)ActualULPStatus
o3-checkcheck{"P":"16","a":"1","L":"2","E":"1","I":"1"}{"oracle_layer":"analytic","delta":-4,"P":16,"a":1,"L":2,"E":1,"I":1}{"model":"overhang_span_deflection","P":16,"a":1,"L":2,"E":1,"I":1,"delta":-4,"solver":"overhang span midspan","convention":"Simply supported span L with one overhang a and one load P at the overhang end. Midspan of the span moves opposite the load: δ = −P a L²/(16 E I). Positive P is downward at the overhang. I is an input. The deflection at the load is its own page."}0PASS
o3-SISI{"P":"1000","a":"1","L":"2","E":"200e9","I":"1e-5"}{"oracle_layer":"analytic","delta":-0.000125,"P":1000,"a":1,"L":2,"E":200000000000,"I":0.00001}{"model":"overhang_span_deflection","P":1000,"a":1,"L":2,"E":200000000000,"I":0.00001,"delta":-0.00012499999999999998,"solver":"overhang span midspan","convention":"Simply supported span L with one overhang a and one load P at the overhang end. Midspan of the span moves opposite the load: δ = −P a L²/(16 E I). Positive P is downward at the overhang. I is an input. The deflection at the load is its own page."}1PASS
o3-aliasalias{"load":"32","span":"2","modulus":"1","Ix":"1","a":"1"}{"oracle_layer":"analytic","delta":-8,"P":32,"a":1,"L":2,"E":1,"I":1}{"model":"overhang_span_deflection","P":32,"a":1,"L":2,"E":1,"I":1,"delta":-8,"solver":"overhang span midspan","convention":"Simply supported span L with one overhang a and one load P at the overhang end. Midspan of the span moves opposite the load: δ = −P a L²/(16 E I). Positive P is downward at the overhang. I is an input. The deflection at the load is its own page."}0PASS
o3-awkwardawkward{"P":"13.7","a":"1.2","L":"3.5","E":"210000","I":"0.83"}{"oracle_layer":"analytic","delta":-0.00007221385542168674,"P":13.7,"a":1.2,"L":3.5,"E":210000,"I":0.83}{"model":"overhang_span_deflection","P":13.7,"a":1.2,"L":3.5,"E":210000,"I":0.83,"delta":-0.00007221385542168674,"solver":"overhang span midspan","convention":"Simply supported span L with one overhang a and one load P at the overhang end. Midspan of the span moves opposite the load: δ = −P a L²/(16 E I). Positive P is downward at the overhang. I is an input. The deflection at the load is its own page."}0PASS
o3-negsigned{"P":"-16","a":"1","L":"2","E":"1","I":"1"}{"oracle_layer":"analytic","delta":4,"P":-16,"a":1,"L":2,"E":1,"I":1}{"model":"overhang_span_deflection","P":-16,"a":1,"L":2,"E":1,"I":1,"delta":4,"solver":"overhang span midspan","convention":"Simply supported span L with one overhang a and one load P at the overhang end. Midspan of the span moves opposite the load: δ = −P a L²/(16 E I). Positive P is downward at the overhang. I is an input. The deflection at the load is its own page."}0PASS
o3-smallsmall{"P":"10","a":"0.5","L":"1","E":"1000","I":"0.01"}{"oracle_layer":"analytic","delta":-0.03125,"P":10,"a":0.5,"L":1,"E":1000,"I":0.01}{"model":"overhang_span_deflection","P":10,"a":0.5,"L":1,"E":1000,"I":0.01,"delta":-0.03125,"solver":"overhang span midspan","convention":"Simply supported span L with one overhang a and one load P at the overhang end. Midspan of the span moves opposite the load: δ = −P a L²/(16 E I). Positive P is downward at the overhang. I is an input. The deflection at the load is its own page."}0PASS
o3-stiffstiff{"P":"500","a":"1","L":"1.5","E":"210e9","I":"2e-4"}{"oracle_layer":"analytic","delta":-0.0000016741071428571428,"P":500,"a":1,"L":1.5,"E":210000000000,"I":0.0002}{"model":"overhang_span_deflection","P":500,"a":1,"L":1.5,"E":210000000000,"I":0.0002,"delta":-0.0000016741071428571428,"solver":"overhang span midspan","convention":"Simply supported span L with one overhang a and one load P at the overhang end. Midspan of the span moves opposite the load: δ = −P a L²/(16 E I). Positive P is downward at the overhang. I is an input. The deflection at the load is its own page."}0PASS
o3-longlong{"P":"200","a":"1.5","L":"4","E":"70e9","I":"5e-5"}{"oracle_layer":"analytic","delta":-0.00008571428571428571,"P":200,"a":1.5,"L":4,"E":70000000000,"I":0.00005}{"model":"overhang_span_deflection","P":200,"a":1.5,"L":4,"E":70000000000,"I":0.00005,"delta":-0.00008571428571428571,"solver":"overhang span midspan","convention":"Simply supported span L with one overhang a and one load P at the overhang end. Midspan of the span moves opposite the load: δ = −P a L²/(16 E I). Positive P is downward at the overhang. I is an input. The deflection at the load is its own page."}0PASS