Array Manipulation

Introduction to Array Manipulation


Arrays/Sets/Matrices are fundamental data structures in z^3. Manipulation of such data structures are often done using custom code in most languages. However, z^3 offers a ton of Array member functions that make it a breeze to handle and manipulate such data structures.

For example, take .chunks().

a=1..100;

This creates a list of 100 numbers. Now, let us make them into chunks of 10 each.

a.chunks(10)

gives

1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100


Simple, isn't it?

The result gives a 10x10 matrix filled with the sequence of numbers from 1 to 100.

Let us say we want to calculate the sum of each row in this 10x10 matrix. The $$ row wise mapping function comes to the rescue.

b=a.chunks(10) b.$$(SUM)

55
155
255
355
455
555
655
755
855
955


ARRAY FUNCTIONS

A listing of the Array functions are given below:

Function name Parameter

Function Name Parameters
$
$$
$$$
$$F
$A Parameter
$C
$CELLS
$R
$X
$_
$d
$diag
$dth
$x
X$
ZJSON
__$
ac
accumulate Total
accumulatewith CumulateFunction,CurrentResult
across OtherArray, Function
add Thing
addcolumn NumberOfColumns
addrow NumberOfRows
addsequence InFront,StartFrom,OptionalSequenceArray
adjoint Array
aggregate Columns,Function, Params
any Count
appendfunction Function
ar
async Iterator, CallBack
atindex
atnode Function,SubtractByArray,ScaleByArray,DoNotShowIndices
backward Function, StartValue
bindcolumn
branch
branchvalues
c
calci
car
cartesianproduct IsWithoutFlatten
cdr
cell Row, Column, Width, Height
cells
checktype TypeArray,ForceCheckOnVariables
chunks ChunkSize
ci
clean Expression, ReplaceWith
clear FillWith
clearcopy FillWith
clearrepeats
clone
colconcat
colcount
collect
collectasvector
collectwhile
collectwhileasvector
column
columnconcat
columns
compare
concatall LimitArray, IncludeEdges
converge Function, NumberOfIterations, Accuracy, Converge
copy
core
count FirstLevelOnly
crosstab RowSet, ColSet,PageSet,DataSet
cube
cumcolumn
cumcolumns
cumcolumnswith
cumcolumnwith
cumrow
cumrows
cumrowswith
cumrowwith
cumulate
data
dc
deal Within, ManyInEach
deepcopy
deletecolumn Where
deleterow Where
det Array
determinant
dim
div
divide
dr
drop
dropwhile
dropwhileasvector
eighteenth
eighth
eleventh
equal Array, CheckLength, StartFrom
equalvalues Array, CheckLength, StartFrom
eval
except
exec
explode StartIndex, By, RecurseTillLevel
extract
few
fifteenth Function
fifth
fillwith
filtermatches MatchIdenticalMatrix, OnlyMatches
filteroncolumn Condition, ExtractColumns, FilterOnColumn
filteroncondition TakeDropOrAllFlag, Function, Parameter
filteronrow Condition, ExtractColumns, FilterOnColumn
findcellref Values
first Count
firstelement Count
firsthalf
fixat Index,Fix
fjoin HeadLength, JoinString
flatten
flip
flipparts
fold AtFoldValue, AtReverseFoldValue
foldl Function, StartSeed
foldr Function, StartSeed
forward Function, StartValue
fourteenth
fourth
fourths
funcjoin HeadLength, FindString, FirstString, MidString, LastString
gettype
graph Mode
graphin
half
halves
hderef Array
head
headings
hindex
hundredth
i PreviousArray
ic
ids
implode RecurseTillLevel
inc
include
indices Function,SubtractByArray,ScaleByArray,DoNotShowIndices,RowArray
injoin JoinWith
insert Value, AfterLastFlag
insertcolumn Index, NumberOfColumns
insertrow Index, NumberOfRows
inverse Array
ir
is Thing, IsNot
is1d
is2d
isFalse
isTrue
islikelytype
isnotnull
isnull
istype
j
joincolumnswith ArrayOfJoinCharacters,IsRepeat
joinrowswith ArrayOfJoinCharacters,IsRepeat
joinwith
jq
keep
last
lastelement
list
lookup
make
make1to2d
makecore
makekeyarray
maplist
mapper
maprow
mask
match
matchcolumn
matchindex
matchrow
matchvalue
merge
mergecolumns
mergeio
mergerows
mid
millionth
multiply
nicejoin
nineteenth
nineth
nodeindex
notinclude
notwithinlimits
nth
ntimes
nullifyobjects
numbers
o
objects
of
otherthan
pack
pad
pair
pairmatch
partitiononcondition
parts
pastefolds
pick
pieces
pip
pipall
pipallwithslice
plot
prefix
primitives
print
printf
r
rand
random
remove
removeByVal
removeindices
removewith
repeatntimes
replace
replicate
rest
result
reverselevel
reversepip
reversesort
ri
rotate
rotatecolumns
rotaterows
row
rowconcat
rowcount
rowlengths
rowpush
rows
rslice
second
secondhalf
seq
set
setHeadings
setaxis
setcolumn
setrow
setunit
seventeenth
seventh
shiftlevel
shuffle
sixteenth
sixth
size
size2d
slices
slides
sortrecursively
sortwith
specialprint
spliteach
splitwhile
splitwhileasvector
stringlist
subtract
suchthat
suchthatasvector
suffix
t
table
tablelookup
tail
takewhile
takewhileasvector
tenth
third
thirds
thirteenth
thousandth
tofunctions
toobjectformat
totree
transpose
truefalse
twelfth
twentieth
twod
type
uncrosstab
unimplode
unimplodeleaf
unitsof
unwrapleaf
unzip
value
where
withinlimits
withouttail
x$
xy
xypanel
z3
zero
zip
zoompip
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