clique_open
std.linalg.clique_open · Level L1Whether the subset counter c has not yet passed every subset, c < 2ⁿ, as 1 or 0. The condition max_clique loops on.
[c < 2ⁿ]
Signature
clique_open(c: f64[], best: f64[], count: f64[], wit: 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
sha256:170816925cb6a96f09034c32c85f453426a410a058863886229ba2956447f332The semantic hash of the graph. It changes when the program changes, and never when only its documentation does.
Control handle
- Symbol
- Ω:std.linalg.clique_open · Ω:clique_open
- Pins
sha256:19c737b4ea49b3f7fcef0b4d6abf2f58b492b1720c3c78bba8d8f183b1fc8251this graph alone- Evidence
sha256:bab833254814d4ffb198c255ad03b049833c887c67623ad919542f6f6cf4906fthe 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.