Description
Accept imaginaryUnit i or j.
Numeric-looking text has both a value and a written form. Signs, decimal places, exponent markers and trailing zeros can carry display information that ordinary numeric conversion discards; formatting a token does not verify its meaning.
Accept imaginaryUnit i or j.
When to use this tool
Use Formatting: Complex Pair Sign Joining when you need the specified literal representation or text-level numeric diagnostic.
How to use the tool and how it works
- Enter real, imaginary, imaginaryUnit. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read result. Expand result to inspect the returned fields.
Accept imaginaryUnit i or j. Join numeric real part with spaced plus/minus and the absolute imaginary coefficient followed by the unit.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| real | Real | Required. Finite number. |
| imaginary | Imaginary | Required. Finite number. |
| imaginaryUnit | Imaginary Unit | Required. Text; one of "i", "j". Implementation limit: 8192 Unicode code points and 16384 UTF-16 code units. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| result | Object containing the calculated members; expand to inspect the fields below. | Required. Object. |
| result.label | Literal label; no independent factual or authorization verdict. | Calculated result member: string. |
{
"input": {
"real": 2,
"imaginary": -3,
"imaginaryUnit": "i"
},
"output": {
"result": {
"label": "2 - 3i"
}
}
}Limitations and assumptions
- Zero imaginary part remains explicit with plus. This is formatting, without simplifying the expression or preserving original decimal spelling.
- Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a locale-aware or destination-specific formatter when broader parsing and presentation rules are needed. Retain original text when lexical precision matters and validate numeric meaning separately.
References
Similar or alternative tools
- Complex Imaginary Unit Placement
Join real and absolute imaginary coefficient with spaced sign.
- Decimal Sign Column Offset Tool
Locate the first digit column in a supplied decimal sign/accounting-prefix convention without rounding or locale formatting.