abs | Function |

**Syntax****abs**number → absolute-value**Arguments and Values**`number`— a*number*.`absolute-value`— a non-negative*real*.**Description****abs**returns the absolute value of`number`.If

`number`is a*real*, the result is of the same*type*as`number`.If

`number`is a*complex*, the result is a positive*real*with the same magnitude as`number`. The result can be a*float*even if`number`’s components are*rationals*and an exact rational result would have been possible. Thus the result of`(abs #c(3 4))`

can be either`5`

or`5.0`

, depending on the implementation.**Examples**(abs 0) → 0 (abs 12/13) → 12/13 (abs -1.09) → 1.09 (abs #c(5.0 -5.0)) → 7.071068 (abs #c(5 5)) → 7.071068 (abs #c(3/5 4/5)) → 1 or approximately 1.0 (eql (abs -0.0) -0.0) →

*true***See Also****Notes**If

`number`is a*complex*, the result is equivalent to the following:`(sqrt (+ (expt (realpart`

`number`) 2) (expt (imagpart`number`) 2)))An implementation should not use this formula directly for all

*complexes*but should handle very large or very small components specially to avoid intermediate overflow or underflow.