matching_running

std.linalg.matching_running · Level L1

Whether the matching search is still running: 0 ≤ p < n, as 1 or 0. The condition of max_matching's second loop.

[0 ≤ p < n]

Signature

matching_running(p: f64[], ch: f64[n], A: f64[n, n], nu: 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.

pf64[]chf64[n]Af64[n, n]-1.0nuf64[]SizenGreaterstartedLessbefore_endMultiplygogof64[]
  • input
  • operation
  • constant
  • call
  • output

Verification

  • Signature proven by NOVA’s shape solver, for every size.
  • Equal to the reference float(0 <= p < n) 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

Calls
—
Called by
sha256:806f7befec34a52d8cea63df20cdc3cdd37279f67d92227fd922395a03825f3b

The semantic hash of the graph. It changes when the program changes, and never when only its documentation does.

Control handle

Symbol
Ω:std.linalg.matching_running · Ω:matching_running
Pins
sha256:edc92bba4b04ad43c96212d9793afb386d9e7bb0c9ab83cc0a25e4f621afaf9dthis graph alone
Evidence
sha256:2e490c028b1358ec11ec4526817ca1ed513757f5881d03de6c26c2f117341e59the 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.

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