Wikifunctions:Type proposals/complex128

Summary

A complex128 is simply a pair of float64.

Uses

Structure

Either stored as a pair of float64, or as a string. If the latter, we also need to consider whether to use i or j to represent the imaginary unit.

Example values

Value 0

{
  "type": "complex128",
  "real part": {
    "type": "float64",
    "value": "0.0"
  },
  "imaginary part": {
    "type": "float64",
    "value": "0.0"
  }
}

{
  "Z1K1": "Zxx",
  "ZxxK1": {
    "Z1K1": "Zyy",
    "ZyyK1": "0.0"
  },
  "ZxxK2": {
    "Z1K1": "Zyy",
    "ZyyK1": "0.0"
  }
}

Persistent objects

At least we should have an object for i.

Validator

The validator ensures that:

real part and imaginary part are valid float64

Identity

Converting to code

Python

For example: (3+5j).imag=5.0

JavaScript

JavaScript does not natively support complex number, so we have to represent it as an object.

Renderer

We can display it as a+bj format.

Parsers

First extract a and b (we may also have a-bj or only bj), then parse a and b as float64.

Alternatives

We can have a general type for complex number whose real and imaginary part are specific number type. This can be used to express e.g. Gaussian integer.

Comments

Support Useful, but let's revisit this once we have float64 working well. --99of9 (talk) 02:38, 19 June 2024 (UTC)[reply]