Lemonergy · Studio block

Complex to magnitude and angle

Separates each complex value into magnitude and phase angle.

Behavior

magnitude = sqrt(real² + imaginary²). angle = atan2(imaginary, real). 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	Complex; complex 1 array.
`out0`	output	1	Magnitude; real 1 array.
`out1`	output	1	Angle; real 1 array.

No configurable parameters for this component.

Complex = [3,4]. Magnitude at 0 s = [5]; Angle at 0 s = [0.9272952180016122].

Numerical checks for the bundled synthetic example
Output	Time (s)	Expected value	Unit	Absolute tolerance
Magnitude `out0`	0	`[5]`	1	1e-08
Angle `out1`	0	`[0.9272952180016122]`	1	1e-08

Complex to magnitude and angle / Magnitude [1]

Complex to magnitude and angle / Magnitude [1]: 5 — at 0 s

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

Separates each complex value into magnitude and phase angle.

Complex to magnitude and angle: magnitude = sqrt(real² + imaginary²). angle = atan2(imaginary, real). 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