Z^3 Array Manipulation Member Functions

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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	SomeOnlyMatches	Give three arrays (one for negative, zero and positive) with false/true for each value in the array. SomeOnlyMatches if true, shows only for the items that matched the condition
branchvalues	SomeOnlyMatches	Give three arrays (one for negative, zero and positive) with value that matched for each value in the array. SomeOnlyMatches if true, shows only for the items that matched the condition
c	Columns	Extract columns from array
calci		Convert array to calci
car		Head of an array
cartesianproduct	IsWithoutFlatten	Create a cartesian product of the elements of the arrays.
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	Remove the items that match Expression and replace with ReplaceWith if provided
clear	FillWith	Clear array and fill with FillWith if provided
clearcopy	FillWith
clearrepeats
clone		Clone an array
colconcat		Concat columns
colcount		Column Count
collect		Takes matches at element level
collectasvector		Takes matches at top level
collectwhile		Takes matches at element level while true
collectwhileasvector		Takes matches at top level while true
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		Cumulate column(s)
cumcolumns		Cumulate column(s)
cumcolumnswith		Cumulate column(s) with a function
cumcolumnwith		Cumulate column(s) with a function
cumrow		Cumulate row(s)
cumrows		Cumulate row(s)
cumrowswith		Cumulate row(s) with a function
cumrowwith		Cumulate row(s) with a function
cumulate		Cumulate elements with NUMSUM
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 row
drop
dropwhile		Drops elements that do not match at element level
dropwhileasvector		Drops matches at top level
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		Same as transpose
flipparts		Switch first and second half of an array
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		Split array in four pieces
funcjoin	HeadLength, FindString, FirstString, MidString, LastString
gettype
graph	Mode
graphin
half		Give two halves of the array
halves		Same as half
head		Head of the array (Same as Array.car)
headings
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	Pick the SomeCount of items from nth position
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		Push and Insert into subarrays at pathindices given
pipall		Push and Insert for all elements from index provided
pipallwithslice		pipall with slices marked for later unpipping
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	SomeExceptIndexUpto, SomeMarkSliced	Push and Insert for all elements from index provided in reverse
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		Get second half of the array
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		Filter an array with a condition (same as filteroncondition) at top array level
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		Takes matches at every element
takewhileasvector		Takes matches at top level
tenth	SomeCount	Pick the SomeCount of items from tenth position
third	SomeCount	Pick the SomeCount of items from third position
thirds		Split array in three pieces
thirteenth	SomeCount	Pick the SomeCount of items from thirteenth position
thousandth	SomeCount	Pick the SomeCount of items from thousandth position
tofunctions
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
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