tutte_open
std.linalg.tutte_open · Level L1Whether the subset counter c is still below 2ⁿ, as 1 or 0. The condition of max_matching's first loop.
[c < 2ⁿ]
Signature
tutte_open(c: f64[], best: f64[], U: f64[n], A: f64[n, n], pow2: f64[n], total: f64[]) → f64[]
Structure
The function as NOVA stores it: one box per input, operation and output, and arrows that carry values. A double border marks another library function this one runs — called once, or by Scan once per element; select it to open that function.
- input
- operation
- constant
- call
- output
Verification
- Signature proven by NOVA’s shape solver, for every size.
- Equal to the reference
float(c < total)in exact rational arithmetic, on all 40 test cases. - All 40 float64 results are exact: the error is zero.
- Interpreter and NumPy backend return bit-identical results.
- At float32 too: the 40 test cases rounded to float32, and 40 of them exact, with zero error.
Accuracy in detail
- correctly rounded (the float64 nearest the exact value)
- 100%
- bit-equal to the NumPy formula in float64
- 100%
- largest error, in units in the last place
- 0
Identity
sha256:72473c3d94a0de4cdca72095526afde918e067d01d4d23689dec3d5bd8012911The semantic hash of the graph. It changes when the program changes, and never when only its documentation does.
Control handle
- Symbol
- Ω:std.linalg.tutte_open · Ω:tutte_open
- Pins
sha256:d719167451b6f8c0a6ee286fbc7ee84c433ea6baf2eeeec4adf3a33259585800this graph alone- Evidence
sha256:c2a5cbfff6c1fb43c3988cd4ab3465f2692266548699c9119218ce769cfcc29fthe hash of its verification record- Needs
- no capability: a pure function
Through NOVA’s control layer, the symbol launches this function only while the program still matches what it pins: a change to this graph, or to any graph it reaches, needs a migration first.