Lemonergy · Studio block

Polynomial

Evaluates a polynomial whose coefficients are supplied in descending powers.

Implementation ID
native-polynomial
Reviewed
2026-10-27

Behavior

p(x) = aₙxⁿ + … + a₁x + a₀. The worked example connects this operation to signals in Lemonergy Studio.

Interface

Polynomial interfaceInputs or arguments on the left, observed outputs on the right. Conserving terminals appear below the component. The tables give units and behavior.PolynomialStudio blockin0out0
Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.
Ports and observed outputs
NameDirectionUnitMeaning
in0input1x; real scalar.
out0output1Polynomial value; real scalar.

Parameters

Defaults are initial model values. Select values for your own model and operating conditions.

Configuration fields
ParameterUnitDefaultMeaning and limits
Coefficients
tables[0]
1[2, -3, 1]Descending powers: aₙ, …, a₁, a₀.

Equations and rules

  • p(x) = aₙxⁿ + … + a₁x + a₀

Worked example

Polynomial — worked example

x = 3. Polynomial value at 0 s = 10.

Open Studio example after release →
Numerical checks for the bundled synthetic example
OutputTime (s)Expected valueUnitAbsolute tolerance
Polynomial value
out0
01011e-08

Explore the recorded outputs

Polynomial recorded example

Polynomial
Polynomial against timeRecorded synthetic simulation values. Time in seconds; output in —.9.509.750.25100.510.250.7510.51—Time (s)
Polynomial: 10 — at 0 s

2 actual recorded samples. Lines are visual guides between samples. Synthetic example, not measured cell data.

Download the recorded samples (JSON) · Open this Studio example after release

Use in a workflow

Polynomial — worked example

Evaluates a polynomial whose coefficients are supplied in descending powers.

  1. Polynomial: p(x) = aₙxⁿ + … + a₁x + a₀. The worked example connects this operation to signals in Lemonergy Studio.
    • Use the block reference for settings and connections.
    • Implementation tested locally; public release pending.
Open Studio example after release

Connected concepts

Limits and interpretation

  • Shapes and element types are explicit. Values must be finite; automatic reshaping and unit conversion are not performed.

Reference basis

This software operation and its numerical conventions are defined by the public contract and worked example; no external research result is claimed.

Implementation sources

This reference follows the public interface and locally verified numerical checks for an upcoming release.

Contract: Lemonergy Studio public contract · Verification record: verification-2026-10-27

  • docs/glossary/native-block-verification.json

This implementation and its workflow uses (JSON) · Knowledge graph (JSON-LD)