Lemonergy · Studio block

Magnitude and angle to complex

Constructs complex values from nonnegative magnitudes and phase angles.

Behavior

z = magnitude × (cos(angle) + i sin(angle)). 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	Magnitude; real 1 array.
`in1`	input	1	Angle; real 1 array.
`out0`	output	1	Complex; complex 1 array.

No configurable parameters for this component.

Magnitude = [2]; Angle = [1.5707963267948966]. Complex at 0 s = [0,2].

Numerical checks for the bundled synthetic example
Output	Time (s)	Expected value	Unit	Absolute tolerance
Complex `out0`	0	`[0, 2]`	1	1e-08

Magnitude and angle to complex [1] real

Magnitude and angle to complex [1] real: 1.224647e-16 — at 0 s

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

Constructs complex values from nonnegative magnitudes and phase angles.

Magnitude and angle to complex: z = magnitude × (cos(angle) + i sin(angle)). 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