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CVP reproduce

mechanical.statics.overhang_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-deflection-mpmath-o3 · seed 20260927.overhang-deflection-o3
Table SHA-256
5303c7cb7e3074766c9773ad8e30a9134685bd1f50bade98023f9cbc8f923bc5

Numerical claim

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

O2: delta vs a separate-module identity (≤2 ULP). Not span midspan under the same load, and not a station curve. ≤2 ULP vs O3 applies only to the published tabulated overhang-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-deflection-o3.py after downloading the public generator next to the table
Repo maintainer path
python3 scripts/lib/cvp/oracles/generate-overhang-deflection-o3.py
Independent REST check
Compare POST /api/v1/calc/overhang-deflection against /developers/cvp/reproduce/overhang-deflection-o3-tables.json after downloading check-math-o3-rest.py next to overhang-deflection-o3-tables.json (or pass --reproduce reproduce.json)
Re-run CVP
npm run cvp:run -- --capability mechanical.statics.overhang_deflection
REST check
POST https://www.calculatorx.com/api/v1/calc/overhang-deflection with a tabulated input from the table below

Re-running the generator without changing seed or inputs should reproduce table SHA-256 5303c7cb7e3074766c9773ad8e30a9134685bd1f50bade98023f9cbc8f923bc5. 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":"3","a":"1","L":"2","E":"1","I":"1"}{"oracle_layer":"analytic","delta":3,"P":3,"a":1,"L":2,"E":1,"I":1}{"model":"overhang_deflection","P":3,"a":1,"L":2,"E":1,"I":1,"delta":3,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."}0PASS
o3-SISI{"P":"1000","a":"1","L":"2","E":"200e9","I":"1e-5"}{"oracle_layer":"analytic","delta":0.0005,"P":1000,"a":1,"L":2,"E":200000000000,"I":0.00001}{"model":"overhang_deflection","P":1000,"a":1,"L":2,"E":200000000000,"I":0.00001,"delta":0.0004999999999999999,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."}1PASS
o3-aliasalias{"load":"6","span":"2","modulus":"1","Ix":"1","a":"1"}{"oracle_layer":"analytic","delta":6,"P":6,"a":1,"L":2,"E":1,"I":1}{"model":"overhang_deflection","P":6,"a":1,"L":2,"E":1,"I":1,"delta":6,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, 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":0.00017732185886402754,"P":13.7,"a":1.2,"L":3.5,"E":210000,"I":0.83}{"model":"overhang_deflection","P":13.7,"a":1.2,"L":3.5,"E":210000,"I":0.83,"delta":0.00017732185886402754,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."}0PASS
o3-negsigned{"P":"-3","a":"1","L":"2","E":"1","I":"1"}{"oracle_layer":"analytic","delta":-3,"P":-3,"a":1,"L":2,"E":1,"I":1}{"model":"overhang_deflection","P":-3,"a":1,"L":2,"E":1,"I":1,"delta":-3,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."}0PASS
o3-smallsmall{"P":"10","a":"0.5","L":"1","E":"1000","I":"0.01"}{"oracle_layer":"analytic","delta":0.125,"P":10,"a":0.5,"L":1,"E":1000,"I":0.01}{"model":"overhang_deflection","P":10,"a":0.5,"L":1,"E":1000,"I":0.01,"delta":0.125,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."}0PASS
o3-stiffstiff{"P":"500","a":"1","L":"1.5","E":"210e9","I":"2e-4"}{"oracle_layer":"analytic","delta":0.00000992063492063492,"P":500,"a":1,"L":1.5,"E":210000000000,"I":0.0002}{"model":"overhang_deflection","P":500,"a":1,"L":1.5,"E":210000000000,"I":0.0002,"delta":0.00000992063492063492,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."}0PASS
o3-longlong{"P":"200","a":"1.5","L":"4","E":"70e9","I":"5e-5"}{"oracle_layer":"analytic","delta":0.0002357142857142857,"P":200,"a":1.5,"L":4,"E":70000000000,"I":0.00005}{"model":"overhang_deflection","P":200,"a":1.5,"L":4,"E":70000000000,"I":0.00005,"delta":0.0002357142857142857,"solver":"overhang end deflection","convention":"Simply supported span L with one overhang a beyond the right support and one load P at the overhang end. The deflection at the load is δ = P a² (L + a)/(3 E I). Positive P is the positive deflection direction. I is an input. The midspan of the span, which moves the other way, is its own page."}0PASS