Difference between revisions of "Z^3 Array Manipulation Member Functions"

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Every Array Member Function is also globalized with the same name but with Uppercase First Letter. For example, .chunks has a twin Global called Chunks, which take first parameter as an array, and followed with the exact same parameters of the original member function. Hence Chunks(Array,ChunkSize) will work the same. If there is an existing function with a similar name, then the globalized name will have a $x appended to it. For example, .map is also available as Map$x.  
 
Every Array Member Function is also globalized with the same name but with Uppercase First Letter. For example, .chunks has a twin Global called Chunks, which take first parameter as an array, and followed with the exact same parameters of the original member function. Hence Chunks(Array,ChunkSize) will work the same. If there is an existing function with a similar name, then the globalized name will have a $x appended to it. For example, .map is also available as Map$x.  
 +
 +
Quick Reference:
 +
Array.R = Array.reduce
 +
Array.M = Array.map
 +
Array.F = Array.filter
 +
  
 
Function name  Parameter
 
Function name  Parameter
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|-
 
|-
 
| [[Array.adjoint()|adjoint ]] || Array || Adjoint of the matrix
 
| [[Array.adjoint()|adjoint ]] || Array || Adjoint of the matrix
 +
|-
 +
| [[Array.after()|after]] ||(NthOrExpOrFn, BothSides,IsCaseSpecific) || Give elements after a certain index. If Exp or Fn given for first parameter, finds a matching element, and find elements after that. Exclude the element at the index itself.
 +
|-
 +
| [[Array.afterx()|afterx]] ||(NthOrExpOrFn, BothSides,IsCaseSpecific) || Same as .after, but includes the element at the index.
 
|-
 
|-
 
| [[Array.aggregate()|aggregate ]] || Columns,Function, Params || Apply functions to columns with parameters given
 
| [[Array.aggregate()|aggregate ]] || Columns,Function, Params || Apply functions to columns with parameters given
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|-
 
|-
 
| [[Array_Row_Column_Modify_Functions|ar ]] ||  ||  Modify the array row/Column
 
| [[Array_Row_Column_Modify_Functions|ar ]] ||  ||  Modify the array row/Column
 +
|-
 +
| [[Array.around()|around]] ||(NthOrExpOrFn, Count, BothSides,IsCaseSpecific) || Give elements before and after a certain index, upto Count. If Exp or Fn given for first parameter, finds a matching element, and find elements around that. Exclude the element at the index itself.
 +
|-
 +
| [[Array.aroundx()|aroundx]] ||(NthOrExpOrFn, BothSides,IsCaseSpecific) || Same as .around, but includes the element at the index.
 
|-
 
|-
 
| [[Array.async()|async ]] || Iterator, CallBack ||
 
| [[Array.async()|async ]] || Iterator, CallBack ||
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|-
 
|-
 
| [[Array.backward()|backward ]] || Function, StartValue || Backwards the given array from the start value
 
| [[Array.backward()|backward ]] || Function, StartValue || Backwards the given array from the start value
 +
|-
 +
| [[Array.before()|before]] ||(NthOrExpOrFn, BothSides,IsCaseSpecific) || Give elements before a certain index. If Exp or Fn given for first parameter, finds a matching element, and find elements after that. Exclude the element at the index itself.
 +
|-
 +
| [[Array.before()|beforex]] ||(NthOrExpOrFn, BothSides,IsCaseSpecific) || Same as .before, but includes the element at the index.
 
|-
 
|-
 
| [[Array.bindcolumn()|bindcolumn ]] ||  ||   
 
| [[Array.bindcolumn()|bindcolumn ]] ||  ||   
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|-
 
|-
 
| [[Array.few()|few ]] || IncludeHeader ||  Pick a few elements from the array randomly
 
| [[Array.few()|few ]] || IncludeHeader ||  Pick a few elements from the array randomly
 +
|-
 +
| [[Array.findx()|findx]] || fn,mode,includefalse||  Applies a function and returns matches. Mode can be "INDEX", "ELEMENT", "TRUE"/"TRUTH", "VALUE","INDEXELEMENT","INDEXELEMENTVALUE", etc. includeFalse keeps false matches.
 +
|-
 +
| [[Array.findi()|findi]] || fn,includefalse||  Applies a function and returns indices of matches.
 +
|-
 +
| [[Array.finde()|finde]] || fn,includefalse||  Applies a function and returns elements that matched.
 +
|-
 +
| [[Array.findie()|findie]] || fn,includefalse||  Applies a function and returns index and elements that matched.
 +
|-
 +
| [[Array.findiev()|findiev]] || fn,includefalse||  Applies a function and returns index, elements that matched and result of the match.
 +
|-
 +
| [[Array.findiv()|findiv]] || fn,includefalse||  Applies a function and returns index, result of the match.
 +
|-
 +
| [[Array.findv()|findv]] || fn,includefalse||  Applies a function and returns result of the match.
 +
|-
 +
| [[Array.findt()|findt]] || fn,includefalse||  Applies a function and returns result of the match as true or false.
 
|-
 
|-
 
| [[Array_nth_Functions|fifteenth ]] || SomeCount ||  Pick the SomeCount of items from fifteenth position
 
| [[Array_nth_Functions|fifteenth ]] || SomeCount ||  Pick the SomeCount of items from fifteenth position
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|-
 
|-
 
| [[Array.include()|include ]] ||  ||   
 
| [[Array.include()|include ]] ||  ||   
 +
|-
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| [[Array.indexwith()|indexwith]] || ExpressionOrIndex, IsCaseSpecific || finds the first index that matches the expression. String or Regexp can be provided, or a number.
 +
|-
 +
| [[Array.indexanddata()|indexanddata]] || Function, SubtractByArray, ScaleByArray, DoNotShowIndices, RowArray || Returns the result of applying the Function/FunctionSet to each x,y, and index location of the array, then subtracts and scales the results with SubtractByArray and ScaleByArray.
 +
|-
 +
| [[Array.indiceswith()|indiceswith]] || ExpressionOrIndex, IsCaseSpecific || finds all indices that matches the expression. String or Regexp can be provided, or a number.
 
|-
 
|-
 
| [[Array.indices()|indices ]] || Function, SubtractByArray, ScaleByArray, DoNotShowIndices, RowArray || Returns the result of applying the Function/FunctionSet to each x,y location of the array, then subtracts and scales the results with SubtractByArray and ScaleByArray.
 
| [[Array.indices()|indices ]] || Function, SubtractByArray, ScaleByArray, DoNotShowIndices, RowArray || Returns the result of applying the Function/FunctionSet to each x,y location of the array, then subtracts and scales the results with SubtractByArray and ScaleByArray.
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|-
 
|-
 
| [[Array.istype()|istype ]] ||  ||   
 
| [[Array.istype()|istype ]] ||  ||   
 +
|-
 +
| [[Array.ith()|ith]] || (Nth, Count, BothSides) ||  Same as .nth, but gives indices starting with 0, while nth gives numbers starting from 1.
 
|-
 
|-
 
| [[Array.j()|j ]] ||  ||   
 
| [[Array.j()|j ]] ||  ||   
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| [[Array.notwithinlimits()|notwithinlimits ]] || LimitArray, IncludeEdges ||
 
| [[Array.notwithinlimits()|notwithinlimits ]] || LimitArray, IncludeEdges ||
 
|-
 
|-
−
| [[Array_nth_Functions|nth ]] || Nth, Count || Pick the SomeCount of items from nth position
+
| [[Array_nth_Functions|nth ]] || Nth, Count, IsBothSides || Pick the SomeCount of items from nth position. IsBothSides will provide results from both sides of the array.
 
|-
 
|-
 
| [[Array.ntimes()|ntimes ]] || Function, NumberOfIterations, Accuracy, Converge ||
 
| [[Array.ntimes()|ntimes ]] || Function, NumberOfIterations, Accuracy, Converge ||
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| [[Array.partitiononcondition()|partitiononcondition ]] || TakeDropOrAllFlag, Function, Parameter ||
 
| [[Array.partitiononcondition()|partitiononcondition ]] || TakeDropOrAllFlag, Function, Parameter ||
 
|-
 
|-
−
| [[Array.parts()|parts ]] || NumberOfParts, SpecificPartOrFunction || Divides the array into parts of Part Size. Applies function if provided, or provide the specific requested part such as an element at the index (2nd of 3 parts for example).
+
| [[Array.parts()|parts ]] || NumberOfParts, SpecificPartOrFunction || Divides the array into parts of Part Size. Applies function if provided, or provide the specific requested part such as an element at the index (2nd of 3 parts for example). NumberOfParts can be negative, and it will reverse the array before processing.
 
|-
 
|-
 
| [[Array.pastefolds()|pastefolds ]] || MidOnly || Unfold the result of a fold.
 
| [[Array.pastefolds()|pastefolds ]] || MidOnly || Unfold the result of a fold.
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| [[Array.pick()|pick ]] || PickMaskArray || Pick all elements that matches a true in the array mask.
 
| [[Array.pick()|pick ]] || PickMaskArray || Pick all elements that matches a true in the array mask.
 
|-
 
|-
−
| [[Array.pieces()|pieces ]] ||  Width, Function || Split the array into pieces of Piece Size. For each piece, a function can be applied. Example: nums = [3,6,9,1]; MAX(nums.pieces(2,MINUS@ABS))
+
| [[Array.pieces()|pieces ]] ||  Width, Function, Stride || Split the array into pieces of Piece Size. For each piece, a function can be applied. Stride or width can be negative, and will reverse the array before processing. Example: nums = [3,6,9,1]; MAX(nums.pieces(2,MINUS@ABS))
 
|-
 
|-
 
| [[Array.pip()|pip ]] || PathIndexArray, Length, PassThroughFunction,UseClone ||  Push and Insert into subarrays at pathindices given
 
| [[Array.pip()|pip ]] || PathIndexArray, Length, PassThroughFunction,UseClone ||  Push and Insert into subarrays at pathindices given
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|-
 
|-
 
| [[Array.suffix()|suffix ]] || Suffix ||  Add a suffix to every element in an array
 
| [[Array.suffix()|suffix ]] || Suffix ||  Add a suffix to every element in an array
 +
|-
 +
| [[Array.stride()|stride]] || SomeWidth, SomeStride, SomeFunction,SomeFullPiecesOnly || Same as Array.pieces, but index steps by strides. stride or width can be negative, and will reverse the array before processing.
 
|-
 
|-
 
| [[Array.transpose()|t ]] || IncludeHeader ||  Transpose an array
 
| [[Array.transpose()|t ]] || IncludeHeader ||  Transpose an array
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|}
 
|}
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 +
==Combinator Functions==
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 +
Array.$fns takes an array of functions and creates combinator pipe.
 +
 +
Array.$combinators takes take the name of a combinator and generate a function with that combinator behavior. These are globalized with λ prefix. For example, B Combinator is λB in global space.

Latest revision as of 19:42, 29 July 2024

ARRAY FUNCTIONS

A listing of the Array functions are given below:

Every Array Member Function is also globalized with the same name but with Uppercase First Letter. For example, .chunks has a twin Global called Chunks, which take first parameter as an array, and followed with the exact same parameters of the original member function. Hence Chunks(Array,ChunkSize) will work the same. If there is an existing function with a similar name, then the globalized name will have a $x appended to it. For example, .map is also available as Map$x.

Quick Reference: Array.R = Array.reduce Array.M = Array.map Array.F = Array.filter


Function name Parameter

Function Name Parameters Notes
$ Function/Array of Functions Apply functions to each element of array
$$ Function/Array of Functions Apply functions to each row of array
$$$ Function/Array of Functions 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 Column Array to apply, Function/Array of Functions, Optional Parameters Apply a function with parameters to a column
$CELLS Row/Column Area indices and width and height to apply (l,t,w,h), Function/Array of Functions, Optional Parameters Apply a function with parameters to a cell area
$d Same as Array.$diag
$diag Apply function to the proper diagonal of an array
$dth Apply function to dth diagonal of an array
diagonal Get the nth diagonal of an array
$R Row Array to apply, Function/Array of Functions, Optional Parameters Apply a function with parameters to a row
$X SomeArray Combines two arrays using an across operation. Reverse is .X$
$x SomeArray Same as $X
$_ Mode, Functions, Parameters 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 Add specified number of rows to the array
addsequence InFront, StartFrom, OptionalSequenceArray Add the sequence value to the specified column
adjoint Array Adjoint of the matrix
after (NthOrExpOrFn, BothSides,IsCaseSpecific) Give elements after a certain index. If Exp or Fn given for first parameter, finds a matching element, and find elements after that. Exclude the element at the index itself.
afterx (NthOrExpOrFn, BothSides,IsCaseSpecific) Same as .after, but includes the element at the index.
aggregate Columns,Function, Params Apply functions to columns with parameters given
allslices SliceSize slices of numbers
any Count Get Count elements from the array randomly
appendfunction Function Adds a column which the result of this function on the remaining row.
ar Modify the array row/Column
around (NthOrExpOrFn, Count, BothSides,IsCaseSpecific) Give elements before and after a certain index, upto Count. If Exp or Fn given for first parameter, finds a matching element, and find elements around that. Exclude the element at the index itself.
aroundx (NthOrExpOrFn, BothSides,IsCaseSpecific) Same as .around, but includes the element at the index.
async Iterator, CallBack
atindex List of indices Indices indicated by the parameters
atnode Function, SubtractByArray, ScaleByArray, DoNotShowIndices
backward Function, StartValue Backwards the given array from the start value
before (NthOrExpOrFn, BothSides,IsCaseSpecific) Give elements before a certain index. If Exp or Fn given for first parameter, finds a matching element, and find elements after that. Exclude the element at the index itself.
beforex (NthOrExpOrFn, BothSides,IsCaseSpecific) Same as .before, but includes the element at the index.
bindcolumn
branch fns (default [neg, zero, positive]) Give an array of functions (default one for negative, zero and positive with false/true for each value in the array). Any arbitrary array of functions will generate a similar array as output. -10..10.branch([LT,[EQ,GT]]) .print()
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
buckets An object with key frequency pairs.
bykey Create an object from the array with array elements bucketed by keys from a column
c Columns Extract columns from array
calci Convert array to calci
head 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 Row, Column, Width, Height Cells with the specified addresses. Same as cell
checktype TypeArray, ForceCheckOnVariables Check if elements are of the type/typearray mentioned
chunks ChunkSize, Function Chunks of size from array. Function is applied to the chunks if provided. 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 Clear each element in a copy of the array
clearrepeats
clone Clone an array
colconcat AnotherArray 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 Concatenates all the elements in an array or table row wise.
converge Function, NumberOfIterations, Accuracy, Converge
copy Make a copy of the array
core
count FirstLevelOnly
crosstab RowSet, ColSet,PageSet,DataSet Returns a simple cross tabulation of two or more factors
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 Which Delete columns specified
deal Within, ManyInEach Generates Random Numbers
deepcopy Deep copy of an array
deletecolumn Which Delete a specified or last column
deleterow Which Delete a specified or last row
det Array Determinant of an array
determinant Array 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
ends SomeNth, SomeCount Pick the SomeCount of items from SomeNth position from both sides of the array
equal Array, CheckLength, StartFrom Comparing the each value in the array and gives true/false.
equalvalues Array, CheckLength, StartFrom Comparison of set of arrays with its length and values without considering its order
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 Explode each element into a sequence from start Index
extract column list Extract specified columns
extractslices SliceExpression, KeepSplitValue, IgnoreRepeats Splits array with matches, without split value or repeats of match. Useful to get the array split with a match. Similar to .splices
few IncludeHeader Pick a few elements from the array randomly
findx fn,mode,includefalse Applies a function and returns matches. Mode can be "INDEX", "ELEMENT", "TRUE"/"TRUTH", "VALUE","INDEXELEMENT","INDEXELEMENTVALUE", etc. includeFalse keeps false matches.
findi fn,includefalse Applies a function and returns indices of matches.
finde fn,includefalse Applies a function and returns elements that matched.
findie fn,includefalse Applies a function and returns index and elements that matched.
findiev fn,includefalse Applies a function and returns index, elements that matched and result of the match.
findiv fn,includefalse Applies a function and returns index, result of the match.
findv fn,includefalse Applies a function and returns result of the match.
findt fn,includefalse Applies a function and returns result of the match as true or false.
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, ExtractRows, FilterOnRow 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 IncludeHeader Same as transpose
flipparts Switch first and second half of an array
fold AtFoldValue, AtReverseFoldValue
foldl Function, StartSeed Apply a function cumulatively to left
foldr Function, StartSeed Apply a function cumulatively to right
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
indexwith ExpressionOrIndex, IsCaseSpecific finds the first index that matches the expression. String or Regexp can be provided, or a number.
indexanddata Function, SubtractByArray, ScaleByArray, DoNotShowIndices, RowArray Returns the result of applying the Function/FunctionSet to each x,y, and index location of the array, then subtracts and scales the results with SubtractByArray and ScaleByArray.
indiceswith ExpressionOrIndex, IsCaseSpecific finds all indices that matches the expression. String or Regexp can be provided, or a number.
indices Function, SubtractByArray, ScaleByArray, DoNotShowIndices, RowArray Returns the result of applying the Function/FunctionSet to each x,y location of the array, then subtracts and scales the results with SubtractByArray and ScaleByArray.
injoin JoinWith A string with all array elements joined starting from second element
inner InnerSize Give inner elements.
insert Value, AfterLastFlag
insertcolumn Index, NumberOfColumns
insertrow Index, NumberOfRows
inverse Array Calculate the inverse of this array
ir
is Thing, IsNot
is1d Check if there is One dimension
is2d Check if there is Two dimension
isFalse Check if there is any False
isfalse Check if there is any False
islikelytype
isnotnull
isnull
isTrue Check everything is true
istrue Check everything is true
istype
ith (Nth, Count, BothSides) Same as .nth, but gives indices starting with 0, while nth gives numbers starting from 1.
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 Same as $
maprow Function Same as $$
maplength IncludeStringsEtc Calculate length of each element. IncludeStringsEtc calculates the length if the element is a string also.
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 SomeCount Pick the SomeCount of items from millionth position
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 Simply gives the indices of the node.
notinclude Item
notwithinlimits LimitArray, IncludeEdges
nth Nth, Count, IsBothSides Pick the SomeCount of items from nth position. IsBothSides will provide results from both sides of the array.
ntimes Function, NumberOfIterations, Accuracy, Converge
nullifyobjects Recursive
numbers ForceCheckOnVariables
o List of Items Same as Array.objects()
objects List of Items Returns the array of Objects in the ZSpace DOM with each element being applied with function OBJECT applied to the variable.
of elements Elements used to create the array.
op Op with another number using units (Supported Operators %, <, >, <=, >=, ==, !=,===, FEQ Floating Equals)
otherthan ArrayWithElementsToExclude The elements except the specified elements.
outer OuterSize Outer 2 elements.
pack Remove consecutive duplicates and compact the array.
pad Length, PadString Pad the array to be of length NewLength, and fill the extra elements added with PadString .
pair Value, OnRight
pairmatch AtFoldValue, AtReverseFoldValue, StartFrom Folds the array for the corresponding SomeAtFoldValue,into subarrays if the value in the array element matches the given fold value
partitiononcondition TakeDropOrAllFlag, Function, Parameter
parts NumberOfParts, SpecificPartOrFunction Divides the array into parts of Part Size. Applies function if provided, or provide the specific requested part such as an element at the index (2nd of 3 parts for example). NumberOfParts can be negative, and it will reverse the array before processing.
pastefolds MidOnly Unfold the result of a fold.
pick PickMaskArray Pick all elements that matches a true in the array mask.
pieces Width, Function, Stride Split the array into pieces of Piece Size. For each piece, a function can be applied. Stride or width can be negative, and will reverse the array before processing. Example: nums = [3,6,9,1]; MAX(nums.pieces(2,MINUS@ABS))
pip PathIndexArray, Length, PassThroughFunction,UseClone Push and Insert into subarrays at pathindices given
pipall ExceptIndexUpto, MarkSliced Push and Insert for all elements from index provided
pipallwithslice ExceptIndexUpto, MarkSliced pipall with slices marked for later unpipping
plot
prefix Prefix Add a prefix to every element in an array
primitives Returns the primitive values of objects in the array
print Trimmed, TabLevel Print an array as a text string
printf
r Array/Parameters Same as Array.row()
rand Base,Count Same as Array.random()
random Base,Numbers Fill the array with random numbers
raw Returns pure array without headers, input, input headers, and data indices information.
remove List of Elements Remove the elements from the original array
removeByVal Value Removes the value,and changes the original array, unless Return Copy is true.
removeindices
removewith
repeatntimes Function, NumberOfIterations, Accuracy, Converge
replace ExpressionArrayOrValues, ReplaceWith
replicate Count
rest Start, Count Remove the part of the array from Start
result
reverse Function, StartValue Reverse the given array from the start value along with the original array. (Dropped)
reversecopy Reverse the given array from the start value along with the copy of an original array.
reverselevel Level
reversepip SomeExceptIndexUpto, SomeMarkSliced Push and Insert for all elements from index provided in reverse
reversesort Function Sorting the arrays in the reverse order.
ri Apply a function to row indices (same as Array.__$ in "ir" mode)
rotate NumberOfSteps Rotate an array NumberOfSteps times
rotatecolumns NumberOfSteps Rotates columns in an array with the specified number of steps.
rotaterows NumberOfSteps Rotates columns in an array with the specified number of steps.
row
rowconcat OtherArray Concat two arrays by row
rowcount Count of rows
rowlengths Function
rowpush OtherArray
rows
rslice Begin, End Same as Array.slice()
second SomeCount Pick the SomeCount of items from second position
secondhalf Get second half of the array
seq StartIndex, By Replaces each element in this array by a number sequence from StartIndex incremented by By
set
setaxis Axis, ColumnValues
setcolumn Column, ColumnValues
setheadings Header List as Parameters Sets the headings of this array with the parameters given.
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 shuffle the array randomly.
sixteenth SomeCount Pick the SomeCount of items from sixteenth position
sixth SomeCount Pick the SomeCount of items from sixth position
size Give the size of this array for each dimension.
size2d
slices SliceExpression, KeepSplitValue, IgnoreRepeats Splits array with matches, keep matches or not in the split array, treat repeat matches as one match or repeats
slides
some callback[, thisArg Tests whether some element in the array passes the test implemented by the provided function.
sortrecursively
sortwith
sortbykey Sorts the array by the specified key.
specialprint Trimmed,TabLevel
spliteach SplitExpression, RetainSplitterAlsoInResult Finds the removes the character/text from the array elements and removes the same.
splitwhile Same as Array.partitiononcondition()
splitwhileasvector Same as Array.partitiononcondition()
stringlist Displays the array elements as strings.
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 Suffix Add a suffix to every element in an array
stride SomeWidth, SomeStride, SomeFunction,SomeFullPiecesOnly Same as Array.pieces, but index steps by strides. stride or width can be negative, and will reverse the array before processing.
t IncludeHeader 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 Transpose an array
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 OtherArray Split alternate elements into separate array.
value Function
where Term
withinlimits LimitArray, IncludeEdges
withouttail
X$ SomeArray 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 Function, OffsetArray, ScaleArray,GiveIndicesAlso,DoCentering 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

Combinator Functions

Array.$fns takes an array of functions and creates combinator pipe.

Array.$combinators takes take the name of a combinator and generate a function with that combinator behavior. These are globalized with λ prefix. For example, B Combinator is λB in global space.

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