clip

std.elementwise.clip · Level L1

Clamp every element into [lo, hi] with exact Maximum and Minimum.

min(max(x, lo), hi)

Signature

clip(x: f64[n], lo: f64[], hi: f64[]) → 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]lof64[]hif64[]Maximumlo_xMinimumyyf64[n]
  • input
  • operation
  • constant
  • call
  • output

Verification

  • Signature proven by NOVA’s shape solver, for every size.
  • Equal to the reference np.clip(x, lo, hi) in exact rational arithmetic, on all 40 test cases.
  • All 136 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
96%
largest error, in units in the last place
0

Identity

Calls
—
Called by
—
sha256:6e55ccc59e77984c36ca1d0302faaa2147da0004837da5cda5463ca11b78b281

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

Control handle

Symbol
Ω:std.elementwise.clip · Ω:clip
Pins
sha256:60c7f76530547ac32de9d5800c2d4c4caf05fc4b36dc1a0d60290f2140910d29this graph alone
Evidence
sha256:8b3e495a1bc9eb6454d36b5a50ed06d26069c5bb6cc78be2643dcb3fe04d9483the 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.