Description
Return ratio=first/second, reciprocal=second/first, and signedSpread=ratio-reciprocal, requiring both scalars nonzero.
A ratio compares quantities under a stated numerator and denominator. Fractions, percentage numerals, and percentage-point changes use different conventions, and changing a part can also change its whole. Unit consistency, zero denominators, rounding, and the order of adjustments determine the result.
Return ratio=first/second, reciprocal=second/first, and signedSpread=ratio-reciprocal, requiring both scalars nonzero.
When to use this tool
Use Reciprocal Ratio Spread when you need this specific ratio, allocation, transformation, interval, or adjustment-order calculation with an explicit base.
How to use the tool and how it works
- Enter first, second. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read ratio, reciprocal, signedSpread. Use the output convention below.
Return ratio=first/second, reciprocal=second/first, and signedSpread=ratio-reciprocal, requiring both scalars nonzero.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| first | First | Required. Finite number. |
| second | Second | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| ratio | Ratio under the stated units and direction. | Required. Finite number. |
| reciprocal | Reciprocal | Required. Finite number. |
| signedSpread | Signed Spread | Required. Finite number. |
{
"input": {
"first": 4,
"second": 2
},
"output": {
"ratio": 2,
"reciprocal": 0.5,
"signedSpread": 1.5
}
}Limitations and assumptions
- Signed values are allowed and units must support the intended comparison. The tool does not use an absolute spread, validate a proportion model, or guard against every extreme-scale output overflow.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Check numerator, denominator, units, and adjustment order before comparing results. Use a complete allocation or physical mixture model when a single arithmetic term leaves relevant constraints unspecified.
References
Similar or alternative tools
- Reciprocal Ratio Rounding Envelope
Invert a strictly positive closed ratio interval; no decimal display rounding.
- Ratio Component Reversal
Return reversedRatio=denominator/numerator, requiring both original components nonzero.