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-- Status: rewritten July 2018
-- Author: Lily Silverstein
doc///
Key
mingle
(mingle, BasicList)
Headline
mingle elements of several lists
Usage
mingle(L)
Inputs
L:BasicList
a list of lists {\tt L=\{L1, L2, ..., Ln\}}
Outputs
M:List
a new list mingling the elements of all lists in {\tt L}
Description
Text
The output list {\tt M} takes the first element of each {\tt Li, i=1,...,n}, followed by
the second element of {\tt Li, i=1,...,n}, and so forth.
Example
mingle {{a1, a2, a3}, {b1, b2, b3}, {c1, c2, c3}}
Text
The lists can have different lengths. After a list is exhausted, it
will be silently ignored.
Example
mingle {{a1, a2, a3, a4}, {b1, b2}, {c1}}
Text
To transpose a nested list (thinking of it as a matrix), try
using {\tt mingle} with @TO pack@.
Example
pack(3, mingle ((a1, a2, a3), (b1, b2, b3), (c1, c2, c3)))
Text
Notice from the previous example that {\tt mingle} accepts sequences and
other types of @TO BasicList@s as input, but the output will always be a
@TO List@.
Text
Further examples:
Example
concatenate mingle( {"a","b","c"} , {",",","} )
netList pack(3, mingle( (0..5), apply(6, i -> i^2), apply(6, i -> i^3)))
SeeAlso
apply
insert
join
pack
sort
sublists
"lists and sequences"
///
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