quadratic2_eval

std.seq.quadratic2_eval · Level L3

The values of the two-variable real polynomial u₀ + u₁x + u₂y + u₃x² + u₄xy + u₅y² (coefficients in that fixed order) at given points (x, y), the rows of pts.

u(x, y) = u·(1, x, y, x², xy, y²)

Signature

quadratic2_eval(u: f64[6], pts: f64[m, 2]) → f64[m]

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 the six monomials at each point in exact rational arithmetic, on all 40 test cases.
All 163 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

matvec

Called by

—

sha256:c8ce633a79043235e0382f72d36efab5745f1843f848576260dc58a01c6b393b

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

Control handle

Symbol: Ω:std.seq.quadratic2_eval · Ω:quadratic2_eval
Pins: sha256:3ab75c2d55d92499d10f04188667d6726852444d2978b136211c52d753c584e1this graph and the 1 it reaches through calls
Evidence: sha256:ff7159921c4abbd52839989592928f7d99985b2f7336daf26ad5354b4610a59cthe 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.