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 tip-only under the same tip moment, and not a simply supported span. ≤2 ULP vs O3 applies only to the published tabulated cantilever-moment-curve 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 13369c897a9e2f5132d7caea36b5ba49526678860b891b62083f0f3dcb92407c. 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 | {"M":"4","x":"2","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":8,"M":4,"x":2,"L":2,"E":1,"I":1} | {"model":"cantilever_moment_curve_deflection","M":4,"x":2,"L":2,"E":1,"I":1,"delta":8,"solver":"cantilever tip moment at a station","convention":"Cantilever fixed at one end with one concentrated moment at the free end. Deflection at distance x from the wall is δ = M x²/(2 E I). Positive M is the positive deflection direction. I is an input. x = L is the tip-moment page."} | 0 | PASS |
o3-SI | SI | {"M":"1000","x":"2","L":"2","E":"200000000000","I":"0.00001"} | {"oracle_layer":"analytic","delta":0.001,"M":1000,"x":2,"L":2,"E":200000000000,"I":0.00001} | {"model":"cantilever_moment_curve_deflection","M":1000,"x":2,"L":2,"E":200000000000,"I":0.00001,"delta":0.0009999999999999998,"solver":"cantilever tip moment at a station","convention":"Cantilever fixed at one end with one concentrated moment at the free end. Deflection at distance x from the wall is δ = M x²/(2 E I). Positive M is the positive deflection direction. I is an input. x = L is the tip-moment page."} | 1 | PASS |
o3-alias | alias | {"moment":"8","span":"2","modulus":"1","Ix":"1","x":"2"} | {"oracle_layer":"analytic","delta":16,"M":8,"x":2,"L":2,"E":1,"I":1} | {"model":"cantilever_moment_curve_deflection","M":8,"x":2,"L":2,"E":1,"I":1,"delta":16,"solver":"cantilever tip moment at a station","convention":"Cantilever fixed at one end with one concentrated moment at the free end. Deflection at distance x from the wall is δ = M x²/(2 E I). Positive M is the positive deflection direction. I is an input. x = L is the tip-moment page."} | 0 | PASS |
o3-awkward | awkward | {"M":"13.7","x":"1.2","L":"2","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.000056592082616179004,"M":13.7,"x":1.2,"L":2,"E":210000,"I":0.83} | {"model":"cantilever_moment_curve_deflection","M":13.7,"x":1.2,"L":2,"E":210000,"I":0.83,"delta":0.000056592082616179,"solver":"cantilever tip moment at a station","convention":"Cantilever fixed at one end with one concentrated moment at the free end. Deflection at distance x from the wall is δ = M x²/(2 E I). Positive M is the positive deflection direction. I is an input. x = L is the tip-moment page."} | 1 | PASS |
o3-neg | signed | {"M":"-4","x":"2","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-8,"M":-4,"x":2,"L":2,"E":1,"I":1} | {"model":"cantilever_moment_curve_deflection","M":-4,"x":2,"L":2,"E":1,"I":1,"delta":-8,"solver":"cantilever tip moment at a station","convention":"Cantilever fixed at one end with one concentrated moment at the free end. Deflection at distance x from the wall is δ = M x²/(2 E I). Positive M is the positive deflection direction. I is an input. x = L is the tip-moment page."} | 0 | PASS |
o3-small | small | {"M":"10","x":"0.5","L":"2","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.125,"M":10,"x":0.5,"L":2,"E":1000,"I":0.01} | {"model":"cantilever_moment_curve_deflection","M":10,"x":0.5,"L":2,"E":1000,"I":0.01,"delta":0.125,"solver":"cantilever tip moment at a station","convention":"Cantilever fixed at one end with one concentrated moment at the free end. Deflection at distance x from the wall is δ = M x²/(2 E I). Positive M is the positive deflection direction. I is an input. x = L is the tip-moment page."} | 0 | PASS |
o3-stiff | stiff | {"M":"500","x":"1","L":"2","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.0000059523809523809525,"M":500,"x":1,"L":2,"E":210000000000,"I":0.0002} | {"model":"cantilever_moment_curve_deflection","M":500,"x":1,"L":2,"E":210000000000,"I":0.0002,"delta":0.0000059523809523809525,"solver":"cantilever tip moment at a station","convention":"Cantilever fixed at one end with one concentrated moment at the free end. Deflection at distance x from the wall is δ = M x²/(2 E I). Positive M is the positive deflection direction. I is an input. x = L is the tip-moment page."} | 0 | PASS |
o3-long | long | {"M":"200","x":"2","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.00011428571428571428,"M":200,"x":2,"L":4,"E":70000000000,"I":0.00005} | {"model":"cantilever_moment_curve_deflection","M":200,"x":2,"L":4,"E":70000000000,"I":0.00005,"delta":0.00011428571428571428,"solver":"cantilever tip moment at a station","convention":"Cantilever fixed at one end with one concentrated moment at the free end. Deflection at distance x from the wall is δ = M x²/(2 E I). Positive M is the positive deflection direction. I is an input. x = L is the tip-moment page."} | 0 | PASS |
