FractionalPart

The fractional part of x, with the sign of x: x minus its integer part.

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FractionalPart(x)x minus IntegerPart(x), with the sign of x.

Typed signatures

Type	Package	Applies
`(number) -> number`	`analytic`	always

Domain: Elementary functions

Details

Keeps the sign of x, unlike compute-engine's native Fract, which always lands in $[0, 1)$ : $\mathrm{FractionalPart}(-7/2) = -1/2$ , where $\mathrm{Fract}(-7/2) = 1/2$ .
Exact where IntegerPart is: an exact rational reduces to an exact rational, and a symbolic constant like Pi stays exact and symbolic ( $\mathrm{FractionalPart}(\pi) = \pi - 3$ ).
Zero exactly on the integers.
Real domain -- a concretely complex argument is left unevaluated.