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 Count
lastelement Count
list
lookup
make
make1to2d ReplaceOriginal
makecore
makekeyarray Recursive
maplist fun
mapper Function
maprow Function
mask
match Expression
matchcolumn Expression, Column
matchindex Expression, IndexThenFromMatch
matchrow Expression, Row
matchvalue Expression, IndexThenFromMatch
merge OtherArray, Function
mergecolumns OtherArray
mergeio
mergerows
mid From,Count
millionth
multiply
nicejoin JoinString, EndString, SubArrayString
nineteenth
nineth
nodeindex
notinclude Item
notwithinlimits LimitArray, IncludeEdges
nth Nth, Count
ntimes Function, NumberOfIterations, Accuracy, Converge
nullifyobjects Recursive
numbers ForceCheckOnVariables
o
objects
of
otherthan ArrayWithElementsToExclude
pack
pad Length, PadString
pair Value, OnRight
pairmatch AtFoldValue, AtReverseFoldValue, StartFrom
partitiononcondition TakeDropOrAllFlag, Function, Parameter
parts NumberOfParts, SpecificPart
pastefolds MidOnly
pick StyleString, JoinString
pieces Width, Function
pip
pipall
pipallwithslice
plot
prefix
primitives
print
printf
r
rand
random Base,Numbers
remove
removeByVal Value
removeindices
removewith
repeatntimes Function, NumberOfIterations, Accuracy, Converge
replace ExpressionArrayOrValues, ReplaceWith
replicate Count
rest Start, Count
result
reverselevel Level
reversepip
reversesort Function
ri
rotate NumberOfSteps
rotatecolumns NumberOfSteps
rotaterows NumberOfSteps
row
rowconcat OtherArray
rowcount
rowlengths Function
rowpush OtherArray
rows
rslice
second
secondhalf
seq StartIndex, By
set
setHeadings
setaxis Axis, ColumnValues
setcolumn Column, ColumnValues
setrow Row, Array
setunit
seventeenth
seventh
shiftlevel Level, NumberOfTimes
shuffle
sixteenth
sixth
size
size2d
slices SliceExpression
slides
sortrecursively
sortwith
specialprint Trimmed,TabLevel
spliteach SplitExpression, RetainSplitterAlsoInResult
splitwhile
splitwhileasvector
stringlist
subtract
suchthat
suchthatasvector
suffix
t
table
tablelookup RowValueMatch, ColumnValueMatch
tail
takewhile
takewhileasvector
tenth
third
thirds
thirteenth
thousandth
tofunctions
toobjectformat
totree
transpose IncludeHeader
truefalse IsCheckTrueFunctionList,IsCheckFalseFunctionList,DoFlattenFirst
twelfth
twentieth
twod
type
uncrosstab UptoColumn
unimplode RecurseTillLevel
unimplodeleaf
unitsof
unwrapleaf
unzip
value Function
where Term
withinlimits LimitArray, IncludeEdges
withouttail
x$ FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso,DoCentering
xy
xypanel FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso
z3
zero ValueInstead, PreserveStructure
zip OtherArray
zoompip
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