SegmentExpansionCategory(S, L)

seg.spad line 50 [edit on github]

• S: OrderedRing

• L: StreamAggregate S

This category provides an interface for expanding segments to a stream of elements.

+: (%, S) -> %

from SegmentCategory S

+: (S, %) -> %

from SegmentCategory S

-: (%, S) -> %

from SegmentCategory S

=: (%, %) -> Boolean

from BasicType

~=: (%, %) -> Boolean

from BasicType

BY: (%, Integer) -> %

from SegmentCategory S

coerce: % -> OutputForm

from CoercibleTo OutputForm

convert: % -> InputForm if S has ConvertibleTo InputForm

from ConvertibleTo InputForm

convert: S -> %

from SegmentCategory S

expand: % -> L

expand(l..h by k) creates value of type L with elements l, l+k, ... lN where lN <= h < lN+k. For example, expand(1..5 by 2) = [1, 3, 5].

expand: List % -> L

expand(l) creates a new value of type L in which each segment l..h by k is replaced with l, l+k, ... lN, where lN <= h < lN+k. For example, expand [1..4, 7..9] = [1, 2, 3, 4, 7, 8, 9].

high: % -> S

from SegmentCategory S

incr: % -> Integer

from SegmentCategory S

latex: % -> String

from SetCategory

low: % -> S

from SegmentCategory S

map: (S -> S, %) -> L

map(f, l..h by k) produces a value of type L by applying f to each of the successive elements of the segment, that is, [f(l), f(l+k), ..., f(lN)], where lN <= h < lN+k.

reverse: % -> %

from SegmentCategory S

segment: (S, S) -> %

from SegmentCategory S

SEGMENT: (S, S) -> %

from SegmentCategory S

BasicType

CoercibleTo OutputForm

ConvertibleTo InputForm if S has ConvertibleTo InputForm

SegmentCategory S

SetCategory