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 the tip under the same moment, and not a simply supported span. ≤2 ULP vs O3 applies only to the published tabulated cantilever-moment-at 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 567bbd2ed02469386658812244928a3b83e041cd616aa2758fb05fb7857fbf4b. 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","a":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":2,"M":4,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_moment_at_deflection","M":4,"a":1,"L":2,"E":1,"I":1,"delta":2,"solver":"cantilever intermediate moment at the couple","convention":"Cantilever fixed at one end with one concentrated moment at distance a from the fixed end. The deflection at the moment is δ = M a²/(2 E I). Positive M is the positive deflection direction. I is an input. a = L is the tip-moment page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-SI | SI | {"M":"1000","L":"2","E":"200e9","I":"1e-5","a":"1"} | {"oracle_layer":"analytic","delta":0.00025,"M":1000,"a":1,"L":2,"E":200000000000,"I":0.00001} | {"model":"cantilever_moment_at_deflection","M":1000,"a":1,"L":2,"E":200000000000,"I":0.00001,"delta":0.00024999999999999995,"solver":"cantilever intermediate moment at the couple","convention":"Cantilever fixed at one end with one concentrated moment at distance a from the fixed end. The deflection at the moment is δ = M a²/(2 E I). Positive M is the positive deflection direction. I is an input. a = L is the tip-moment page. The free-end deflection when a < L is its own page."} | 1 | PASS |
o3-alias | alias | {"moment":"8","span":"2","modulus":"1","Ix":"1","a":"1"} | {"oracle_layer":"analytic","delta":4,"M":8,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_moment_at_deflection","M":8,"a":1,"L":2,"E":1,"I":1,"delta":4,"solver":"cantilever intermediate moment at the couple","convention":"Cantilever fixed at one end with one concentrated moment at distance a from the fixed end. The deflection at the moment is δ = M a²/(2 E I). Positive M is the positive deflection direction. I is an input. a = L is the tip-moment page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-awkward | awkward | {"M":"13.7","a":"0.9","L":"2","E":"210000","I":"0.83"} | {"oracle_layer":"analytic","delta":0.00003183304647160069,"M":13.7,"a":0.9,"L":2,"E":210000,"I":0.83} | {"model":"cantilever_moment_at_deflection","M":13.7,"a":0.9,"L":2,"E":210000,"I":0.83,"delta":0.00003183304647160069,"solver":"cantilever intermediate moment at the couple","convention":"Cantilever fixed at one end with one concentrated moment at distance a from the fixed end. The deflection at the moment is δ = M a²/(2 E I). Positive M is the positive deflection direction. I is an input. a = L is the tip-moment page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-neg | signed | {"M":"-4","a":"1","L":"2","E":"1","I":"1"} | {"oracle_layer":"analytic","delta":-2,"M":-4,"a":1,"L":2,"E":1,"I":1} | {"model":"cantilever_moment_at_deflection","M":-4,"a":1,"L":2,"E":1,"I":1,"delta":-2,"solver":"cantilever intermediate moment at the couple","convention":"Cantilever fixed at one end with one concentrated moment at distance a from the fixed end. The deflection at the moment is δ = M a²/(2 E I). Positive M is the positive deflection direction. I is an input. a = L is the tip-moment page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-small | small | {"M":"10","a":"0.5","L":"2","E":"1000","I":"0.01"} | {"oracle_layer":"analytic","delta":0.125,"M":10,"a":0.5,"L":2,"E":1000,"I":0.01} | {"model":"cantilever_moment_at_deflection","M":10,"a":0.5,"L":2,"E":1000,"I":0.01,"delta":0.125,"solver":"cantilever intermediate moment at the couple","convention":"Cantilever fixed at one end with one concentrated moment at distance a from the fixed end. The deflection at the moment is δ = M a²/(2 E I). Positive M is the positive deflection direction. I is an input. a = L is the tip-moment page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-stiff | stiff | {"M":"500","a":"1","L":"2","E":"210e9","I":"2e-4"} | {"oracle_layer":"analytic","delta":0.0000059523809523809525,"M":500,"a":1,"L":2,"E":210000000000,"I":0.0002} | {"model":"cantilever_moment_at_deflection","M":500,"a":1,"L":2,"E":210000000000,"I":0.0002,"delta":0.0000059523809523809525,"solver":"cantilever intermediate moment at the couple","convention":"Cantilever fixed at one end with one concentrated moment at distance a from the fixed end. The deflection at the moment is δ = M a²/(2 E I). Positive M is the positive deflection direction. I is an input. a = L is the tip-moment page. The free-end deflection when a < L is its own page."} | 0 | PASS |
o3-long | long | {"M":"200","a":"1","L":"4","E":"70e9","I":"5e-5"} | {"oracle_layer":"analytic","delta":0.00002857142857142857,"M":200,"a":1,"L":4,"E":70000000000,"I":0.00005} | {"model":"cantilever_moment_at_deflection","M":200,"a":1,"L":4,"E":70000000000,"I":0.00005,"delta":0.00002857142857142857,"solver":"cantilever intermediate moment at the couple","convention":"Cantilever fixed at one end with one concentrated moment at distance a from the fixed end. The deflection at the moment is δ = M a²/(2 E I). Positive M is the positive deflection direction. I is an input. a = L is the tip-moment page. The free-end deflection when a < L is its own page."} | 0 | PASS |
