Description
Calculate floor and ceiling integers for a supplied finite number.
Number representation separates exact integer text, finite floating-point values and display spelling. Rational comparison can use exact cross products without decimal conversion, while floor/ceiling outputs still have a finite safe-integer range. Leading zeros and negative zero carry representational information that a numeric conversion or serializer can discard.
Calculate floor and ceiling integers for a supplied finite number.
When to use this tool
Use Integer Floor Ceiling Bracket Pair when you already have value and need to calculate floor and ceiling integers for a supplied finite number.
How to use the tool and how it works
- Enter value. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read floorInteger, ceilingInteger, isInteger. Inspect isInteger before interpreting the associated values.
Return Math.floor(value), Math.ceil(value) and Number.isInteger(value).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| value | Value | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| floorInteger | Mathematical floor, required to fit the safe integer output domain. | Required. Safe integer. |
| ceilingInteger | Mathematical ceiling, required to fit the safe integer output domain. | Required. Safe integer. |
| isInteger | Is Integer | Required. Boolean. |
{
"input": {
"value": -2.25
},
"output": {
"floorInteger": -3,
"ceilingInteger": -2,
"isInteger": false
}
}Limitations and assumptions
- The integer outputs must fit the safe-integer contract or the request fails; there is no tolerance, decimal-place rounding or arbitrary-precision 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 exact integer or rational arithmetic when exact large-number comparison is needed. Keep original token spelling for formatting questions, and verify that any transport or serialization step preserves distinctions such as leading zeros and negative zero.
References
Similar or alternative tools
- Negative Zero Signbit Preservation Label
Label whether a supplied number retains the negative-zero sign.
- Rational Cross Product Comparison Sign
Compare two exact rational numbers supplied as signed integer strings.