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CVP reproduce

mechanical.statics.beam_moment_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
beam-moment-deflection-mpmath-o3 · seed 20260927.beam-moment-deflection-o3
Table SHA-256
2181885f5ef23c2004b66cc5d1d7b8a49aa2f0fa3f780b6f6f41a138333a2ca9

Numerical claim

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

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

Re-running the generator without changing seed or inputs should reproduce table SHA-256 2181885f5ef23c2004b66cc5d1d7b8a49aa2f0fa3f780b6f6f41a138333a2ca9. 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{"M":"16","L":"2","E":"1","I":"1"}{"oracle_layer":"analytic","delta":4,"M":16,"L":2,"E":1,"I":1}{"model":"beam_moment_deflection","M":16,"L":2,"E":1,"I":1,"delta":4,"solver":"simply supported end moment","convention":"Simply supported span with one concentrated moment at one end. Midspan δ = M L²/(16 E I). Positive M is the positive deflection direction. I is an input. A cantilever and a point load are their own pages."}0PASS
o3-SISI{"M":"1000","L":"2","E":"200e9","I":"1e-5"}{"oracle_layer":"analytic","delta":0.000125,"M":1000,"L":2,"E":200000000000,"I":0.00001}{"model":"beam_moment_deflection","M":1000,"L":2,"E":200000000000,"I":0.00001,"delta":0.00012499999999999998,"solver":"simply supported end moment","convention":"Simply supported span with one concentrated moment at one end. Midspan δ = M L²/(16 E I). Positive M is the positive deflection direction. I is an input. A cantilever and a point load are their own pages."}1PASS
o3-aliasalias{"moment":"32","span":"2","modulus":"1","Ix":"1"}{"oracle_layer":"analytic","delta":8,"M":32,"L":2,"E":1,"I":1}{"model":"beam_moment_deflection","M":32,"L":2,"E":1,"I":1,"delta":8,"solver":"simply supported end moment","convention":"Simply supported span with one concentrated moment at one end. Midspan δ = M L²/(16 E I). Positive M is the positive deflection direction. I is an input. A cantilever and a point load are their own pages."}0PASS
o3-awkwardawkward{"M":"13.7","L":"3.5","E":"210000","I":"0.83"}{"oracle_layer":"analytic","delta":0.00006017821285140562,"M":13.7,"L":3.5,"E":210000,"I":0.83}{"model":"beam_moment_deflection","M":13.7,"L":3.5,"E":210000,"I":0.83,"delta":0.00006017821285140562,"solver":"simply supported end moment","convention":"Simply supported span with one concentrated moment at one end. Midspan δ = M L²/(16 E I). Positive M is the positive deflection direction. I is an input. A cantilever and a point load are their own pages."}0PASS
o3-negsigned{"M":"-16","L":"2","E":"1","I":"1"}{"oracle_layer":"analytic","delta":-4,"M":-16,"L":2,"E":1,"I":1}{"model":"beam_moment_deflection","M":-16,"L":2,"E":1,"I":1,"delta":-4,"solver":"simply supported end moment","convention":"Simply supported span with one concentrated moment at one end. Midspan δ = M L²/(16 E I). Positive M is the positive deflection direction. I is an input. A cantilever and a point load are their own pages."}0PASS
o3-smallsmall{"M":"10","L":"1","E":"1000","I":"0.01"}{"oracle_layer":"analytic","delta":0.0625,"M":10,"L":1,"E":1000,"I":0.01}{"model":"beam_moment_deflection","M":10,"L":1,"E":1000,"I":0.01,"delta":0.0625,"solver":"simply supported end moment","convention":"Simply supported span with one concentrated moment at one end. Midspan δ = M L²/(16 E I). Positive M is the positive deflection direction. I is an input. A cantilever and a point load are their own pages."}0PASS
o3-stiffstiff{"M":"500","L":"1.5","E":"210e9","I":"2e-4"}{"oracle_layer":"analytic","delta":0.0000016741071428571428,"M":500,"L":1.5,"E":210000000000,"I":0.0002}{"model":"beam_moment_deflection","M":500,"L":1.5,"E":210000000000,"I":0.0002,"delta":0.0000016741071428571428,"solver":"simply supported end moment","convention":"Simply supported span with one concentrated moment at one end. Midspan δ = M L²/(16 E I). Positive M is the positive deflection direction. I is an input. A cantilever and a point load are their own pages."}0PASS
o3-longlong{"M":"200","L":"4","E":"70e9","I":"5e-5"}{"oracle_layer":"analytic","delta":0.00005714285714285714,"M":200,"L":4,"E":70000000000,"I":0.00005}{"model":"beam_moment_deflection","M":200,"L":4,"E":70000000000,"I":0.00005,"delta":0.00005714285714285714,"solver":"simply supported end moment","convention":"Simply supported span with one concentrated moment at one end. Midspan δ = M L²/(16 E I). Positive M is the positive deflection direction. I is an input. A cantilever and a point load are their own pages."}0PASS