Array Manipulation

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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
$C
$CELLS
$R
$X
$_
$d
$diag
$dth
$x
X$
ZJSON
__$
ac
accumulate
accumulatewith
across
add
addcolumn
addrow
addsequence
adjoint
aggregate
any
appendfunction
ar
async
atindex
atnode
backward
bindcolumn
branch
branchvalues
c
calci
car
cartesianproduct
cdr
cell
cells
checktype
chunks
ci
clean
clear
clearcopy
clearrepeats
clone
colconcat
colcount
collect
collectasvector
collectwhile
collectwhileasvector
column
columnconcat
columns
compare
concatall
converge
copy
core
count
crosstab
cube
cumcolumn
cumcolumns
cumcolumnswith
cumcolumnwith
cumrow
cumrows
cumrowswith
cumrowwith
cumulate
data
dc
deal
deepcopy
deletecolumn
deleterow
det
determinant
dim
div
divide
dr
drop
dropwhile
dropwhileasvector
eighteenth
eighth
eleventh
equal
equalvalues
eval
except
exec
explode
extract
few
fifteenth
fifth
fillwith
filtermatches
filteroncolumn
filteroncondition
filteronrow
findcellref
first
firstelement
firsthalf
fixat
fjoin
flatten
flip
flipparts
fold
foldl
foldr
forward
fourteenth
fourth
fourths
funcjoin
gettype
graph
graphin
half
halves
hderef
head
headings
hindex
hundredth
i
ic
ids
implode
inc
include
indices
injoin
insert
insertcolumn
insertrow
inverse
ir
is
is1d
is2d
isFalse
isTrue
islikelytype
isnotnull
isnull
istype
j
joincolumnswith
joinrowswith
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
 $
 $$
 $$$
 $$F
 $A
 $C
 $CELLS
 $R
 $X
 $_
 $d
 $diag
 $dth
 $x
 X$
 ZJSON
 __$
 ac
 accumulate
 accumulatewith
 across
 add
 addcolumn
 addrow
 addsequence
 adjoint
 aggregate
 any
 appendfunction
 ar
 async
 atindex
 atnode
 backward
 bindcolumn
 branch
 branchvalues
 c
 calci
 car
 cartesianproduct
 cdr
 cell
 cells
 checktype
 chunks
 ci
 clean
 clear
 clearcopy
 clearrepeats
 clone
 colconcat
 colcount
 collect
 collectasvector
 collectwhile
 collectwhileasvector
 column
 columnconcat
 columns
 compare
 concatall
 converge
 copy
 core
 count
 crosstab
 cube
 cumcolumn
 cumcolumns
 cumcolumnswith
 cumcolumnwith
 cumrow
 cumrows
 cumrowswith
 cumrowwith
 cumulate
 data
 dc
 deal
 deepcopy
 deletecolumn
 deleterow
 det
 determinant
 dim
 div
 divide
 dr
 drop
 dropwhile
 dropwhileasvector
 eighteenth
 eighth
 eleventh
 equal
 equalvalues
 eval
 except
 exec
 explode
 extract
 few
 fifteenth
 fifth
 fillwith
 filtermatches
 filteroncolumn
 filteroncondition
 filteronrow
 findcellref
 first
 firstelement
 firsthalf
 fixat
 fjoin
 flatten
 flip
 flipparts
 fold
 foldl
 foldr
 forward
 fourteenth
 fourth
 fourths
 funcjoin
 gettype
 graph
 graphin
 half
 halves
 hderef
 head
 headings
 hindex
 hundredth
 i
 ic
 ids
 implode
 inc
 include
 indices
 injoin
 insert
 insertcolumn
 insertrow
 inverse
 ir
 is
 is1d
 is2d
 isFalse
 isTrue
 islikelytype
 isnotnull
 isnull
 istype
 j
 joincolumnswith
 joinrowswith
 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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