chromatic_open

std.linalg.chromatic_open · Level L0

Whether no colouring has been found yet, as 1 or 0. The condition chromatic_number loops on.

[not found]

Signature

chromatic_open(k: f64[], found: f64[], col: f64[n], A: f64[n, n]) → 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 1 - found 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

chromatic_number

sha256:47e972a252f93a3844a6630d81f97a7a7a5b733a75319b663510a735584dca36

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.chromatic_open · Ω:chromatic_open
Pins: sha256:de01514a7d076e47b42f3aa7dc2b4edde09bdaa1d725d6629adfd0f0c557a303this graph alone
Evidence: sha256:7fa58b84999b0eb50c22a576dd87e30c7f81037bda3f8926679b441ac12d248fthe 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.