Lemonergy · Studio block

Real and imaginary to complex

Constructs complex values from separate real and imaginary inputs.

Behavior

z = real + i imaginary. The worked example connects this operation to signals in Lemonergy Studio.

Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.

Ports and observed outputs
Name	Direction	Unit	Meaning
`in0`	input	1	Real; real 1 array.
`in1`	input	1	Imaginary; real 1 array.
`out0`	output	1	Complex; complex 1 array.

No configurable parameters for this component.

Real = [3]; Imaginary = [4]. Complex at 0 s = [3,4].

Numerical checks for the bundled synthetic example
Output	Time (s)	Expected value	Unit	Absolute tolerance
Complex `out0`	0	`[3, 4]`	1	1e-08

Real and imaginary to complex [1] real

Real and imaginary to complex [1] real: 3 — at 0 s

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

Constructs complex values from separate real and imaginary inputs.

Real and imaginary to complex: z = real + i imaginary. 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.

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

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

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