interval-contains? ( x interval -- ? )
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interval-subset? ( i1 i2 -- ? )

Vocabulary
math.intervals

Inputs

x	a real
interval	an interval

Outputs

?

a boolean

Word description
Tests if x is contained in interval.

Examples

USING: math.intervals prettyprint ; 1.5 1 2 [a,b] interval-contains? .
t

Half-open endpoints are not contained:

USING: math.intervals prettyprint ; 1 1 2 (a,b] interval-contains? .
f

The empty interval obviously does not contain an interval:

USING: math.intervals prettyprint ; 1 2 (a,b] empty-interval interval-contains? .
f

See also
interval-subset?

Definition

IN: math.intervals

GENERIC: interval-contains? ( x interval -- ? )

Methods

USING: kernel math.intervals ;

M: empty-interval interval-contains? 2drop f ;


USING: kernel math.intervals ;

M: full-interval interval-contains? 2drop t ;


USING: accessors combinators.short-circuit kernel math
math.intervals sequences ;

M: interval interval-contains?
    {
        [ from>> first2 [ >= ] [ > ] if ]
        [ to>> first2 [ <= ] [ < ] if ]
    } 2&& ;