normalize

std.linalg.normalize · Level L1

Scale a non-zero vector to unit length. Calls norm.

x / ‖x‖

Signature

normalize(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 a call to another library function; select it to open that function.

xf64[n]normlenDivideuuf64[n]
  • input
  • operation
  • constant
  • call
  • output

Verification

  • Signature proven by NOVA’s shape solver, for every size.
  • Agrees with the reference x / np.linalg.norm(x) to 80 digits (100-digit arithmetic), on all 40 test cases.
  • All 147 float64 results inside the running error bound; the closest uses 32% of it.
  • Interpreter and NumPy backend return bit-identical results.
Accuracy in detail
correctly rounded (the float64 nearest the exact value)
73%
bit-equal to the NumPy formula in float64
100%
largest error, in units in the last place
1.36

Identity

Calls
norm
Called by
—
sha256:447f30f25fe3d26effa7a14a064696a686cb20c591dab70ea36ac2f91326b73a

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