Z^3 Array Manipulation Member Functions

ARRAY FUNCTIONS

A listing of the Array functions are given below:

Function name Parameter

Function Name Parameters Notes
$ Apply functions to each element of array
$$ Apply functions to each row of array
$$$ Apply functions to each column of array
$$F Function/Array of Functions Append results of functions to each row
$A Parameter Get attributes from an array of objects
$C Function/Array of Functions, Optional Parameters, Column index to apply Apply a function with parameters to a column
$CELLS Function/Array of Functions, Optional Parameters, Row/Column Area indices to apply Apply a function with parameters to a cell area
$d Get the diagonal of an array
$diag Same as get the diagonal of an array
$dth Get the dth diagonal of an array
$R Function/Array of Functions, Optional Parameters, Row index to apply Apply a function with parameters to a row
$X Combines two arrays using an across operation. Reverse is .X$
$x Same as $X
$_ Apply a function to the entire array as one aggregate call
__$ Mode, Functions, Parameters Using a mode (value, valuebyrow, index etc), apply a function to the cells with parameters
ac ColCount Add columns
accumulate Total Accumulate each element with the next and give a cumulative result. Start from Total if need be.
accumulatewith CumulateFunction, CurrentResult Accumulate each element with the next using the function and give a cumulative result. Start from Total if need be.
across OtherArray, Function Apply the functions to each combination of cells in the two arrays
add Thing Add Thing to Array
addcolumn NumberOfColumns Add specified number of columns to the array
addrow NumberOfRows
addsequence InFront, StartFrom, OptionalSequenceArray
adjoint Array Adjoint of the matrix
aggregate Columns,Function, Params Apply functions to columns with parameters given
any Count Get Count elements from the array randomly
appendfunction Function
ar
async Iterator, CallBack
atindex
atnode Function, SubtractByArray, ScaleByArray, DoNotShowIndices
backward Function, StartValue
bindcolumn
branch
branchvalues
c Columns Extract columns from array
calci Convert array to calci
car Head of an array
cartesianproduct IsWithoutFlatten
cdr Tail of an array
cell Row, Column, Width, Height Cells with the specified addresses
cells Cells with the specified addresses. Same as cell
checktype TypeArray, ForceCheckOnVariables Check if elements are of the type/typearray mentioned
chunks ChunkSize Chunks of size from array. pieces gives pieces of size starting with each element which is different
ci Apply a function to column indices (same as Array.__$ in "ic" mode)
clean Expression, ReplaceWith
clear FillWith
clearcopy FillWith
clearrepeats
clone Clone an array
colconcat
colcount
collect
collectasvector
collectwhile
collectwhileasvector
column SomeColumns Extract columns
columnconcat AnotherArray Concat two arrays by column
columns SomeColumns Extract 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 Delete columns specified
deal Within, ManyInEach
deepcopy Deep copy of an array
deletecolumn Delete a specified or last column
deleterow Where Delete a specified or last row
det Array Determinant of an array
determinant Determinant of an array
dim Dimensions Create a new array with the dimensions given
div Thing Divide Thing to Array
divide Thing Integer Divide Thing to Array
dr Which Delete a specified or last column
drop
dropwhile
dropwhileasvector
eighteenth SomeCount Pick the SomeCount of items from eighteenth position
eighth SomeCount Pick the SomeCount of items from eigth position
eleventh SomeCount Pick the SomeCount of items from eleventh position
equal Array, CheckLength, StartFrom
equalvalues Array, CheckLength, StartFrom
eval Execute each element of the array as code
except Indices Extract the elements at indices mentioned
exec Parameters Execute each element of the array as a function with given parameters
explode StartIndex, By, RecurseTillLevel
extract
few Pick a few elements from the array randomly
fifteenth SomeCount Pick the SomeCount of items from fifteenth position
fifth SomeCount Pick the SomeCount of items from fifth position
fillwith Numbers Fill the array with numbers provided. Repeat the numbers if fewer than size specified
filtermatches MatchIdenticalMatrix, OnlyMatches
filteroncolumn Condition, ExtractColumns, FilterOnColumn ExtractColumns are the columns that are extracted, and filters are applied on FilterOnColumn where condition is satisfied
filteroncondition TakeDropOrAllFlag, Function, Parameter Apply a function to an array with parameters, and return list that matched/not matched/all
filteronrow Condition, ExtractColumns, FilterOnColumn ExtractRows are the rows that are extracted, and filters are applied on FilterOnRow where condition is satisfied
findcellref Values
first SomeCount Pick the SomeCount of items from first position
firstelement SomeCount Pick the element from first position
firsthalf First half of the array
fixat Index, Fix
fjoin HeadLength, JoinString
flatten Flatten the array to a single dimension
flip
flipparts
fold AtFoldValue, AtReverseFoldValue
foldl Function, StartSeed
foldr Function, StartSeed
forward Function, StartValue
fourteenth SomeCount Pick the SomeCount of items from fourteenth position
fourth SomeCount Pick the SomeCount of items from fourth position
fourths
funcjoin HeadLength, FindString, FirstString, MidString, LastString
gettype
graph Mode
graphin
half Give two halves of the array
halves Same as half
hderef Array
head
headings
hindex
hundredth SomeCount Pick the SomeCount of items from hundredth position
i PreviousArray Indices in an array, concatenated to the PreviousArray if provided
ic Functions Apply functions to the column indices
ids Get ids of all objects in an array of objects if present
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
isfalse
islikelytype
isnotnull
isnull
isTrue
istrue
istype
j
joincolumnswith ArrayOfJoinCharacters, IsRepeat
joinrowswith ArrayOfJoinCharacters, IsRepeat
joinwith
jq
keep
last Count Get Count elements from the Last element
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 Pick Count elements from From location onwards
millionth
mod Thing Mod Thing to Array
multiply Thing Multiply Thing to Array
nicejoin JoinString, EndString, SubArrayString
nineteenth SomeCount Pick the SomeCount of items from nineteenth position
nineth SomeCount Pick the SomeCount of items from nineth position
nodeindex
notinclude Item
notwithinlimits LimitArray, IncludeEdges
nth Nth, Count
ntimes Function, NumberOfIterations, Accuracy, Converge
nullifyobjects Recursive
numbers ForceCheckOnVariables
o
objects
of
op Op with another number using units (Supported Operators %, <, >, <=, >=, ==, !=,===, FEQ Floating Equals)
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 Add a prefix to every element in an array
primitives
print Print an array as a text string
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 Apply a function to row indices (same as Array.__$ in "ir" mode)
rotate NumberOfSteps Rotate an array NumberOfSteps times
rotatecolumns NumberOfSteps
rotaterows NumberOfSteps
row
rowconcat OtherArray Concat two arrays by row
rowcount Count of rows
rowlengths Function
rowpush OtherArray
rows
rslice
second SomeCount Pick the SomeCount of items from second position
secondhalf
seq StartIndex, By
set
setaxis Axis, ColumnValues
setcolumn Column, ColumnValues
setheadings
setrow Row, Array
setunit
seventeenth SomeCount Pick the SomeCount of items from seventeenth position
seventh SomeCount Pick the SomeCount of items from seventh position
shiftlevel Level, NumberOfTimes
shuffle
sixteenth SomeCount Pick the SomeCount of items from sixteenth position
sixth SomeCount Pick the SomeCount of items from sixth position
size
size2d
slices SliceExpression
slides
some
sortrecursively
sortwith
specialprint Trimmed,TabLevel
spliteach SplitExpression, RetainSplitterAlsoInResult
splitwhile
splitwhileasvector
stringlist
subtract Thing Subtract Thing to Array
suchthat Filter an array with a condition (same as filteroncondition)
suchthatasvector
suffix Add a suffix to every element in an array
t Transpose an array
table Convert array to an html table
tablelookup RowValueMatch, ColumnValueMatch
tail
takewhile
takewhileasvector
tenth SomeCount Pick the SomeCount of items from tenth position
third SomeCount Pick the SomeCount of items from third position
thirds
thirteenth SomeCount Pick the SomeCount of items from thirteenth position
thousandth SomeCount Pick the SomeCount of items from thousandth position
tofunctions
toobjectformat
totree
transpose IncludeHeader
truefalse IsCheckTrueFunctionList, IsCheckFalseFunctionList, DoFlattenFirst
twelfth SomeCount Pick the SomeCount of items from twelfth position
twentieth SomeCount Pick the SomeCount of items from twentieth position
twod
type
uncrosstab UptoColumn
unimplode RecurseTillLevel
unimplodeleaf
unitsof
unwrapleaf
unzip
value Function
where Term
withinlimits LimitArray, IncludeEdges
withouttail
X$ Combines two arrays using an across operation in reverse. Opposite of .$X
x$ FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso,DoCentering Apply a function array to the array, with offsets and scales applied, with indices or centering as requested
xy Apply a function array to the array, with offsets and scales applied, with indices
xypanel FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso Apply a function array to the array, with offsets and scales applied, with indices, centered by default at 0. Useful to create contour panels with inputs to apply functions on.
z3
zero ValueInstead, PreserveStructure Zero or replace values in an array
zip OtherArray Combine two arrays into one zipped array
ZJSON
zoompip