CVP reproduce
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.”
Calculation version, protocol version, and evidence revision are distinct.
O3 PASS is a tabulated-vector claim, not a whole-domain proof.
O2: delta vs a separate-module identity (≤2 ULP). Not a simply supported span, not a uniform load, and not an intermediate station. ≤2 ULP vs O3 applies only to the published tabulated cantilever-deflection vectors.
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.
Re-running the generator without changing seed or inputs should reproduce table SHA-256 e4b7ccf084af1cfbda68af9ef13df79718cc4fe076712634d166158545362bf7. Compare each expected_f64 to the production result within the declared ULP threshold.
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-check | check | {"P":"3","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":8,"P":3,"L":2,"E":1,"I":1} | {"model":"cantilever_deflection","P":3,"L":2,"E":1,"I":1,"delta":8,"solver":"cantilever tip load","convention":"Cantilever fixed at one end with one concentrated load at the free end. δ = P L³/(3 E I). Positive P is the positive deflection direction. I is an input. A simply supported span and a distributed load are their own pages."} | 0 | PASS |
o3-SI | SI | {"P":"1000","L":"2","E":"200e9","I":"1e-5"} | {"oracle_layer":"analytic","delta":0.0013333333333333333,"P":1000,"L":2,"E":200000000000,"I":0.00001} | {"model":"cantilever_deflection","P":1000,"L":2,"E":200000000000,"I":0.00001,"delta":0.001333333333333333,"solver":"cantilever tip load","convention":"Cantilever fixed at one end with one concentrated load at the free end. δ = P L³/(3 E I). Positive P is the positive deflection direction. I is an input. A simply supported span and a distributed load are their own pages."} | 1 | PASS |
o3-alias | alias | {"load":"6","span":"2","modulus":"1","Ix":"1"} | {"oracle_layer":"analytic","delta":16,"P":6,"L":2,"E":1,"I":1} | {"model":"cantilever_deflection","P":6,"L":2,"E":1,"I":1,"delta":16,"solver":"cantilever tip load","convention":"Cantilever fixed at one end with one concentrated load at the free end. δ = P L³/(3 E I). Positive P is the positive deflection direction. I is an input. A simply supported span and a distributed load are their own pages."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","L":"3.5","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.001123326639892905,"P":13.7,"L":3.5,"E":210000,"I":0.83} | {"model":"cantilever_deflection","P":13.7,"L":3.5,"E":210000,"I":0.83,"delta":0.0011233266398929047,"solver":"cantilever tip load","convention":"Cantilever fixed at one end with one concentrated load at the free end. δ = P L³/(3 E I). Positive P is the positive deflection direction. I is an input. A simply supported span and a distributed load are their own pages."} | 1 | PASS |
o3-neg | signed | {"P":"-3","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-8,"P":-3,"L":2,"E":1,"I":1} | {"model":"cantilever_deflection","P":-3,"L":2,"E":1,"I":1,"delta":-8,"solver":"cantilever tip load","convention":"Cantilever fixed at one end with one concentrated load at the free end. δ = P L³/(3 E I). Positive P is the positive deflection direction. I is an input. A simply supported span and a distributed load are their own pages."} | 0 | PASS |
o3-small | small | {"P":"10","L":"1","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.3333333333333333,"P":10,"L":1,"E":1000,"I":0.01} | {"model":"cantilever_deflection","P":10,"L":1,"E":1000,"I":0.01,"delta":0.3333333333333333,"solver":"cantilever tip load","convention":"Cantilever fixed at one end with one concentrated load at the free end. δ = P L³/(3 E I). Positive P is the positive deflection direction. I is an input. A simply supported span and a distributed load are their own pages."} | 0 | PASS |
o3-stiff | stiff | {"P":"500","L":"1.5","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.000013392857142857142,"P":500,"L":1.5,"E":210000000000,"I":0.0002} | {"model":"cantilever_deflection","P":500,"L":1.5,"E":210000000000,"I":0.0002,"delta":0.000013392857142857142,"solver":"cantilever tip load","convention":"Cantilever fixed at one end with one concentrated load at the free end. δ = P L³/(3 E I). Positive P is the positive deflection direction. I is an input. A simply supported span and a distributed load are their own pages."} | 0 | PASS |
o3-long | long | {"P":"200","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.001219047619047619,"P":200,"L":4,"E":70000000000,"I":0.00005} | {"model":"cantilever_deflection","P":200,"L":4,"E":70000000000,"I":0.00005,"delta":0.001219047619047619,"solver":"cantilever tip load","convention":"Cantilever fixed at one end with one concentrated load at the free end. δ = P L³/(3 E I). Positive P is the positive deflection direction. I is an input. A simply supported span and a distributed load are their own pages."} | 0 | PASS |
