rank

std.stats.rank · Level L3

The rank of each value, 0 for the smallest; ties are ranked in input order. The argsort of the argsort.

argsort(argsort(x))

Signature

rank(x: f64[n]) → f64[n]

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.

xf64[n]ArgSortorderArgSortrrf64[n]
  • input
  • operation
  • constant
  • call
  • output

Verification

  • Signature proven by NOVA’s shape solver, for every size.
  • Equal to the reference np.argsort(np.argsort(x, kind="stable"), kind="stable") in exact rational arithmetic, on all 40 test cases.
  • All 151 float64 results are exact: the error is zero.
  • Interpreter and NumPy backend return bit-identical results.
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
knn_regress
sha256:7cf2b239ff94c9cc354b83e9406cc88a3e21ffd4ac23bfa0efeddad665278ddb

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