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 midspan under the same load, not a cantilever, and not a station curve. ≤2 ULP vs O3 applies only to the published tabulated offset-load-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 4337739ffd5840f072f109db24c2389d7f50f84a15ee5dd0704c3bbe49e18801. 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":"48","a":"1","L":"4","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":36,"P":48,"a":1,"L":4,"E":1,"I":1,"b":3} | {"model":"offset_load_deflection","P":48,"a":1,"b":3,"L":4,"E":1,"I":1,"delta":36,"solver":"simply supported offset load","convention":"Simply supported span with one concentrated load at distance a from the left support. The deflection under the load is δ = P a² b² / (3 E I L), with b = L − a. Positive P is the positive deflection direction. I is an input. A load at midspan is the beam-deflection page. The largest deflection, when it is not under the load, is not this page."} | 0 | PASS |
o3-SI | SI | {"P":"1000","L":"4","E":"200e9","I":"1e-5","a":"1"} | {"oracle_layer":"analytic","delta":0.000375,"P":1000,"a":1,"L":4,"E":200000000000,"I":0.00001,"b":3} | {"model":"offset_load_deflection","P":1000,"a":1,"b":3,"L":4,"E":200000000000,"I":0.00001,"delta":0.00037499999999999995,"solver":"simply supported offset load","convention":"Simply supported span with one concentrated load at distance a from the left support. The deflection under the load is δ = P a² b² / (3 E I L), with b = L − a. Positive P is the positive deflection direction. I is an input. A load at midspan is the beam-deflection page. The largest deflection, when it is not under the load, is not this page."} | 1 | PASS |
o3-alias | alias | {"load":"96","span":"4","modulus":"1","Ix":"1","a":"1"} | {"oracle_layer":"analytic","delta":72,"P":96,"a":1,"L":4,"E":1,"I":1,"b":3} | {"model":"offset_load_deflection","P":96,"a":1,"b":3,"L":4,"E":1,"I":1,"delta":72,"solver":"simply supported offset load","convention":"Simply supported span with one concentrated load at distance a from the left support. The deflection under the load is δ = P a² b² / (3 E I L), with b = L − a. Positive P is the positive deflection direction. I is an input. A load at midspan is the beam-deflection page. The largest deflection, when it is not under the load, is not this page."} | 0 | PASS |
o3-awkward | awkward | {"P":"13.7","a":"1.2","L":"4","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.00007394698795180722,"P":13.7,"a":1.2,"L":4,"E":210000,"I":0.83,"b":2.8} | {"model":"offset_load_deflection","P":13.7,"a":1.2,"b":2.8,"L":4,"E":210000,"I":0.83,"delta":0.00007394698795180721,"solver":"simply supported offset load","convention":"Simply supported span with one concentrated load at distance a from the left support. The deflection under the load is δ = P a² b² / (3 E I L), with b = L − a. Positive P is the positive deflection direction. I is an input. A load at midspan is the beam-deflection page. The largest deflection, when it is not under the load, is not this page."} | 1 | PASS |
o3-neg | signed | {"P":"-48","a":"1","L":"4","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-36,"P":-48,"a":1,"L":4,"E":1,"I":1,"b":3} | {"model":"offset_load_deflection","P":-48,"a":1,"b":3,"L":4,"E":1,"I":1,"delta":-36,"solver":"simply supported offset load","convention":"Simply supported span with one concentrated load at distance a from the left support. The deflection under the load is δ = P a² b² / (3 E I L), with b = L − a. Positive P is the positive deflection direction. I is an input. A load at midspan is the beam-deflection page. The largest deflection, when it is not under the load, is not this page."} | 0 | PASS |
o3-small | small | {"P":"10","a":"0.5","L":"4","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.2552083333333333,"P":10,"a":0.5,"L":4,"E":1000,"I":0.01,"b":3.5} | {"model":"offset_load_deflection","P":10,"a":0.5,"b":3.5,"L":4,"E":1000,"I":0.01,"delta":0.2552083333333333,"solver":"simply supported offset load","convention":"Simply supported span with one concentrated load at distance a from the left support. The deflection under the load is δ = P a² b² / (3 E I L), with b = L − a. Positive P is the positive deflection direction. I is an input. A load at midspan is the beam-deflection page. The largest deflection, when it is not under the load, is not this page."} | 0 | PASS |
o3-stiff | stiff | {"P":"500","a":"1","L":"4","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.00000892857142857143,"P":500,"a":1,"L":4,"E":210000000000,"I":0.0002,"b":3} | {"model":"offset_load_deflection","P":500,"a":1,"b":3,"L":4,"E":210000000000,"I":0.0002,"delta":0.00000892857142857143,"solver":"simply supported offset load","convention":"Simply supported span with one concentrated load at distance a from the left support. The deflection under the load is δ = P a² b² / (3 E I L), with b = L − a. Positive P is the positive deflection direction. I is an input. A load at midspan is the beam-deflection page. The largest deflection, when it is not under the load, is not this page."} | 0 | PASS |
o3-long | long | {"P":"200","a":"1","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.000042857142857142856,"P":200,"a":1,"L":4,"E":70000000000,"I":0.00005,"b":3} | {"model":"offset_load_deflection","P":200,"a":1,"b":3,"L":4,"E":70000000000,"I":0.00005,"delta":0.000042857142857142856,"solver":"simply supported offset load","convention":"Simply supported span with one concentrated load at distance a from the left support. The deflection under the load is δ = P a² b² / (3 E I L), with b = L − a. Positive P is the positive deflection direction. I is an input. A load at midspan is the beam-deflection page. The largest deflection, when it is not under the load, is not this page."} | 0 | PASS |
