Difference between revisions of "Array Manipulation"

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Line 91: Line 91:
 
| [[Array.$$F()|$$F]] ||
 
| [[Array.$$F()|$$F]] ||
 
|-
 
|-
−
| $A || Parameter
+
| [[Array.$A() | $A ]] || Parameter
 
|-
 
|-
−
| $C ||
+
| [[Array.$C() | $C ]] ||
 
|-
 
|-
−
| $CELLS ||
+
| [[Array.$CELLS() | $CELLS ]] ||
 
|-
 
|-
−
| $R ||
+
| [[Array.$d() | $d ]] ||
 
|-
 
|-
−
| $X ||
+
| [[Array.$diag() | $diag ]] ||
 
|-
 
|-
−
| [[Array.$_()|$_]] ||
+
| [[Array.$dth() | $dth ]] ||
 
|-
 
|-
−
| $d ||
+
| [[Array.$R() | $R ]] ||
 
|-
 
|-
−
| $diag ||
+
| [[Array.$X() | $X ]] ||
 
|-
 
|-
−
| $dth ||
+
| [[Array.$x() | $x ]] ||
 
|-
 
|-
−
| $x ||
+
| [[Array.$_()|$_]] ||
 
|-
 
|-
−
| X$ ||
+
| [[Array.__$() | __$ ]] ||
 
|-
 
|-
−
| ZJSON ||
+
| [[Array.ac() | ac ]] ||
 
|-
 
|-
−
| __$ ||
+
| [[Array.accumulate() | accumulate ]] || Total
 
|-
 
|-
−
| ac ||
+
| [[Array.accumulatewith() | accumulatewith ]] || "CumulateFunction,CurrentResult"
 
|-
 
|-
−
| accumulate || Total
+
| [[Array.across() | across ]] || "OtherArray, Function"
 
|-
 
|-
−
| accumulatewith || CumulateFunction,CurrentResult
+
| [[Array.add() | add ]] || Thing
 
|-
 
|-
−
| across || OtherArray, Function
+
| [[Array.addcolumn() | addcolumn ]] || NumberOfColumns
 
|-
 
|-
−
| add || Thing
+
| [[Array.addrow() | addrow ]] || NumberOfRows
 
|-
 
|-
−
| addcolumn || NumberOfColumns
+
| [[Array.addsequence() | addsequence ]] || "InFront,StartFrom,OptionalSequenceArray"
 
|-
 
|-
−
| addrow || NumberOfRows
+
| [[Array.adjoint() | adjoint ]] || Array
 
|-
 
|-
−
| addsequence || InFront,StartFrom,OptionalSequenceArray
+
| [[Array.aggregate() | aggregate ]] || "Columns,Function, Params"
 
|-
 
|-
−
| adjoint || Array
+
| [[Array.any() | any ]] || Count
 
|-
 
|-
−
| aggregate || Columns,Function, Params
+
| [[Array.appendfunction() | appendfunction ]] || Function
 
|-
 
|-
−
| any || Count
+
| [[Array.ar() | ar ]] ||
 
|-
 
|-
−
| appendfunction || Function
+
| [[Array.async() | async ]] || "Iterator, CallBack"
 
|-
 
|-
−
| ar ||  
+
| [[Array.atindex() | atindex ]] ||
 
|-
 
|-
−
| async || Iterator, CallBack
+
| [[Array.atnode() | atnode ]] || "Function,SubtractByArray,ScaleByArray,DoNotShowIndices"
 
|-
 
|-
−
| atindex ||
+
| [[Array.backward() | backward ]] || "Function, StartValue"
 
|-
 
|-
−
| atnode || Function,SubtractByArray,ScaleByArray,DoNotShowIndices
+
| [[Array.bindcolumn() | bindcolumn ]] ||
 
|-
 
|-
−
| backward || Function, StartValue
+
| [[Array.branch() | branch ]] ||
 
|-
 
|-
−
| bindcolumn ||  
+
| [[Array.branchvalues() | branchvalues ]] ||
 
|-
 
|-
−
| branch ||
+
| [[Array.c() | c ]] ||
 
|-
 
|-
−
| branchvalues ||
+
| [[Array.calci() | calci ]] ||
 
|-
 
|-
−
| c ||
+
| [[Array.car() | car ]] ||
 
|-
 
|-
−
| calci ||
+
| [[Array.cartesianproduct() | cartesianproduct ]] || IsWithoutFlatten
 
|-
 
|-
−
| car ||
+
| [[Array.cdr() | cdr ]] ||
 
|-
 
|-
−
| cartesianproduct || IsWithoutFlatten
+
| [[Array.cell() | cell ]] || "Row, Column, Width, Height"
 
|-
 
|-
−
| cdr ||
+
| [[Array.cells() | cells ]] ||
 
|-
 
|-
−
| cell || Row, Column, Width, Height
+
| [[Array.checktype() | checktype ]] || "TypeArray,ForceCheckOnVariables"
 
|-
 
|-
−
| cells ||
+
| [[Array.chunks() | chunks ]] || ChunkSize
 
|-
 
|-
−
| checktype || TypeArray,ForceCheckOnVariables
+
| [[Array.ci() | ci ]] ||
 
|-
 
|-
−
| chunks || ChunkSize
+
| [[Array.clean() | clean ]] || "Expression, ReplaceWith"
 
|-
 
|-
−
| ci ||
+
| [[Array.clear() | clear ]] || FillWith
 
|-
 
|-
−
| clean || Expression, ReplaceWith
+
| [[Array.clearcopy() | clearcopy ]] || FillWith
 
|-
 
|-
−
| clear || FillWith
+
| [[Array.clearrepeats() | clearrepeats ]] ||
 
|-
 
|-
−
| clearcopy || FillWith
+
| [[Array.clone() | clone ]] ||
 
|-
 
|-
−
| clearrepeats ||  
+
| [[Array.colconcat() | colconcat ]] ||
 
|-
 
|-
−
| clone ||
+
| [[Array.colcount() | colcount ]] ||
 
|-
 
|-
−
| colconcat ||
+
| [[Array.collect() | collect ]] ||
 
|-
 
|-
−
| colcount ||
+
| [[Array.collectasvector() | collectasvector ]] ||
 
|-
 
|-
−
| collect ||
+
| [[Array.collectwhile() | collectwhile ]] ||
 
|-
 
|-
−
| collectasvector ||
+
| [[Array.collectwhileasvector() | collectwhileasvector ]] ||
 
|-
 
|-
−
| collectwhile ||
+
| [[Array.column() | column ]] ||
 
|-
 
|-
−
| collectwhileasvector ||
+
| [[Array.columnconcat() | columnconcat ]] ||
 
|-
 
|-
−
| column ||
+
| [[Array.columns() | columns ]] ||
 
|-
 
|-
−
| columnconcat ||
+
| [[Array.compare() | compare ]] ||
 
|-
 
|-
−
| columns ||
+
| [[Array.concatall() | concatall ]] || "LimitArray, IncludeEdges"
 
|-
 
|-
−
| compare ||
+
| [[Array.converge() | converge ]] || "Function, NumberOfIterations, Accuracy, Converge"
 
|-
 
|-
−
| concatall || LimitArray, IncludeEdges
+
| [[Array.copy() | copy ]] ||
 
|-
 
|-
−
| converge || Function, NumberOfIterations, Accuracy, Converge
+
| [[Array.core() | core ]] ||
 
|-
 
|-
−
| copy ||  
+
| [[Array.count() | count ]] || FirstLevelOnly
 
|-
 
|-
−
| core ||
+
| [[Array.crosstab() | crosstab ]] || "RowSet, ColSet,PageSet,DataSet"
 
|-
 
|-
−
| count || FirstLevelOnly
+
| [[Array.cube() | cube ]] ||
 
|-
 
|-
−
| crosstab || RowSet, ColSet,PageSet,DataSet
+
| [[Array.cumcolumn() | cumcolumn ]] ||
 
|-
 
|-
−
| cube ||
+
| [[Array.cumcolumns() | cumcolumns ]] ||
 
|-
 
|-
−
| cumcolumn ||
+
| [[Array.cumcolumnswith() | cumcolumnswith ]] ||
 
|-
 
|-
−
| cumcolumns ||
+
| [[Array.cumcolumnwith() | cumcolumnwith ]] ||
 
|-
 
|-
−
| cumcolumnswith ||
+
| [[Array.cumrow() | cumrow ]] ||
 
|-
 
|-
−
| cumcolumnwith ||
+
| [[Array.cumrows() | cumrows ]] ||
 
|-
 
|-
−
| cumrow ||
+
| [[Array.cumrowswith() | cumrowswith ]] ||
 
|-
 
|-
−
| cumrows ||
+
| [[Array.cumrowwith() | cumrowwith ]] ||
 
|-
 
|-
−
| cumrowswith ||
+
| [[Array.cumulate() | cumulate ]] ||
 
|-
 
|-
−
| cumrowwith ||
+
| [[Array.data() | data ]] ||
 
|-
 
|-
−
| cumulate ||
+
| [[Array.dc() | dc ]] ||
 
|-
 
|-
−
| data ||
+
| [[Array.deal() | deal ]] || "Within, ManyInEach"
 
|-
 
|-
−
| dc ||
+
| [[Array.deepcopy() | deepcopy ]] ||
 
|-
 
|-
−
| deal || Within, ManyInEach
+
| [[Array.deletecolumn() | deletecolumn ]] || Where
 
|-
 
|-
−
| deepcopy ||
+
| [[Array.deleterow() | deleterow ]] || Where
 
|-
 
|-
−
| deletecolumn || Where
+
| [[Array.det() | det ]] || Array
 
|-
 
|-
−
| deleterow || Where
+
| [[Array.determinant() | determinant ]] ||
 
|-
 
|-
−
| det || Array
+
| [[Array.dim() | dim ]] ||
 
|-
 
|-
−
| determinant ||
+
| [[Array.div() | div ]] ||
 
|-
 
|-
−
| dim ||
+
| [[Array.divide() | divide ]] ||
 
|-
 
|-
−
| div ||
+
| [[Array.dr() | dr ]] ||
 
|-
 
|-
−
| divide ||
+
| [[Array.drop() | drop ]] ||
 
|-
 
|-
−
| dr ||
+
| [[Array.dropwhile() | dropwhile ]] ||
 
|-
 
|-
−
| drop ||
+
| [[Array.dropwhileasvector() | dropwhileasvector ]] ||
 
|-
 
|-
−
| dropwhile ||
+
| [[Array.eighteenth() | eighteenth ]] ||
 
|-
 
|-
−
| dropwhileasvector ||
+
| [[Array.eighth() | eighth ]] ||
 
|-
 
|-
−
| eighteenth ||
+
| [[Array.eleventh() | eleventh ]] ||
 
|-
 
|-
−
| eighth ||
+
| [[Array.equal() | equal ]] || "Array, CheckLength, StartFrom"
 
|-
 
|-
−
| eleventh ||
+
| [[Array.equalvalues() | equalvalues ]] || "Array, CheckLength, StartFrom"
 
|-
 
|-
−
| equal || Array, CheckLength, StartFrom
+
| [[Array.eval() | eval ]] ||
 
|-
 
|-
−
| equalvalues || Array, CheckLength, StartFrom
+
| [[Array.except() | except ]] ||
 
|-
 
|-
−
| eval ||
+
| [[Array.exec() | exec ]] ||
 
|-
 
|-
−
| except ||
+
| [[Array.explode() | explode ]] || "StartIndex, By, RecurseTillLevel "
 
|-
 
|-
−
| exec ||
+
| [[Array.extract() | extract ]] ||
 
|-
 
|-
−
| explode || StartIndex, By, RecurseTillLevel
+
| [[Array.few() | few ]] ||
 
|-
 
|-
−
| extract ||
+
| [[Array.fifteenth() | fifteenth ]] || Function
 
|-
 
|-
−
| few ||
+
| [[Array.fifth() | fifth ]] ||
 
|-
 
|-
−
| fifteenth || Function
+
| [[Array.fillwith() | fillwith ]] ||
 
|-
 
|-
−
| fifth ||  
+
| [[Array.filtermatches() | filtermatches ]] || "MatchIdenticalMatrix, OnlyMatches"
 
|-
 
|-
−
| fillwith ||
+
| [[Array.filteroncolumn() | filteroncolumn ]] || "Condition, ExtractColumns, FilterOnColumn"
 
|-
 
|-
−
| filtermatches || MatchIdenticalMatrix, OnlyMatches
+
| [[Array.filteroncondition() | filteroncondition ]] || "TakeDropOrAllFlag, Function, Parameter"
 
|-
 
|-
−
| filteroncolumn || Condition, ExtractColumns, FilterOnColumn
+
| [[Array.filteronrow() | filteronrow ]] || "Condition, ExtractColumns, FilterOnColumn"
 
|-
 
|-
−
| filteroncondition || TakeDropOrAllFlag, Function, Parameter
+
| [[Array.findcellref() | findcellref ]] || Values
 
|-
 
|-
−
| filteronrow || Condition, ExtractColumns, FilterOnColumn
+
| [[Array.first() | first ]] || Count
 
|-
 
|-
−
| findcellref || Values
+
| [[Array.firstelement() | firstelement ]] || Count
 
|-
 
|-
−
| first || Count
+
| [[Array.firsthalf() | firsthalf ]] ||
 
|-
 
|-
−
| firstelement || Count
+
| [[Array.fixat() | fixat ]] || "Index,Fix"
 
|-
 
|-
−
| firsthalf ||  
+
| [[Array.fjoin() | fjoin ]] || "HeadLength, JoinString"
 
|-
 
|-
−
| fixat || Index,Fix
+
| [[Array.flatten() | flatten ]] ||
 
|-
 
|-
−
| fjoin || HeadLength, JoinString
+
| [[Array.flip() | flip ]] ||
 
|-
 
|-
−
| flatten ||  
+
| [[Array.flipparts() | flipparts ]] ||
 
|-
 
|-
−
| flip ||
+
| [[Array.fold() | fold ]] || "AtFoldValue, AtReverseFoldValue"
 
|-
 
|-
−
| flipparts ||
+
| [[Array.foldl() | foldl ]] || "Function, StartSeed"
 
|-
 
|-
−
| fold || AtFoldValue, AtReverseFoldValue
+
| [[Array.foldr() | foldr ]] || "Function, StartSeed"
 
|-
 
|-
−
| foldl || Function, StartSeed
+
| [[Array.forward() | forward ]] || "Function, StartValue"
 
|-
 
|-
−
| foldr || Function, StartSeed
+
| [[Array.fourteenth() | fourteenth ]] ||
 
|-
 
|-
−
| forward || Function, StartValue
+
| [[Array.fourth() | fourth ]] ||
 
|-
 
|-
−
| fourteenth ||  
+
| [[Array.fourths() | fourths ]] ||
 
|-
 
|-
−
| fourth ||
+
| [[Array.funcjoin() | funcjoin ]] || "HeadLength, FindString, FirstString, MidString, LastString"
 
|-
 
|-
−
| fourths ||
+
| [[Array.gettype() | gettype ]] ||
 
|-
 
|-
−
| funcjoin || HeadLength, FindString, FirstString, MidString, LastString
+
| [[Array.graph() | graph ]] || Mode
 
|-
 
|-
−
| gettype ||  
+
| [[Array.graphin() | graphin ]] ||
 
|-
 
|-
−
| graph || Mode
+
| [[Array.half() | half ]] ||
 
|-
 
|-
−
| graphin ||
+
| [[Array.halves() | halves ]] ||
 
|-
 
|-
−
| half ||
+
| [[Array.hderef() | hderef ]] || Array
 
|-
 
|-
−
| halves ||
+
| [[Array.head() | head ]] ||
 
|-
 
|-
−
| hderef || Array
+
| [[Array.headings() | headings ]] ||
 
|-
 
|-
−
| head ||
+
| [[Array.hindex() | hindex ]] ||
 
|-
 
|-
−
| headings ||
+
| [[Array.hundredth() | hundredth ]] ||
 
|-
 
|-
−
| hindex ||
+
| [[Array.i() | i ]] || PreviousArray
 
|-
 
|-
−
| hundredth ||
+
| [[Array.ic() | ic ]] ||
 
|-
 
|-
−
| i || PreviousArray
+
| [[Array.ids() | ids ]] ||
 
|-
 
|-
−
| ic ||  
+
| [[Array.implode() | implode ]] || RecurseTillLevel
 
|-
 
|-
−
| ids ||
+
| [[Array.inc() | inc ]] ||
 
|-
 
|-
−
| implode || RecurseTillLevel
+
| [[Array.include() | include ]] ||
 
|-
 
|-
−
| inc ||
+
| [[Array.indices() | indices ]] || "Function,SubtractByArray,ScaleByArray,DoNotShowIndices,RowArray"
 
|-
 
|-
−
| include ||
+
| [[Array.injoin() | injoin ]] || JoinWith
 
|-
 
|-
−
| indices || Function,SubtractByArray,ScaleByArray,DoNotShowIndices,RowArray
+
| [[Array.insert() | insert ]] || "Value, AfterLastFlag"
 
|-
 
|-
−
| injoin || JoinWith
+
| [[Array.insertcolumn() | insertcolumn ]] || "Index, NumberOfColumns"
 
|-
 
|-
−
| insert || Value, AfterLastFlag
+
| [[Array.insertrow() | insertrow ]] || "Index, NumberOfRows"
 
|-
 
|-
−
| insertcolumn || Index, NumberOfColumns
+
| [[Array.inverse() | inverse ]] || Array
 
|-
 
|-
−
| insertrow || Index, NumberOfRows
+
| [[Array.ir() | ir ]] ||
 
|-
 
|-
−
| inverse || Array
+
| [[Array.is() | is ]] || "Thing, IsNot"
 
|-
 
|-
−
| ir ||
+
| [[Array.is1d() | is1d ]] ||
 
|-
 
|-
−
| is || Thing, IsNot
+
| [[Array.is2d() | is2d ]] ||
 
|-
 
|-
−
| is1d ||  
+
| [[Array.isFalse() | isFalse ]] ||
 
|-
 
|-
−
| is2d ||
+
| [[Array.islikelytype() | islikelytype ]] ||
 
|-
 
|-
−
| isFalse ||
+
| [[Array.isnotnull() | isnotnull ]] ||
 
|-
 
|-
−
| isTrue ||
+
| [[Array.isnull() | isnull ]] ||
 
|-
 
|-
−
| islikelytype ||
+
| [[Array.isTrue() | isTrue ]] ||
 
|-
 
|-
−
| isnotnull ||
+
| [[Array.istype() | istype ]] ||
 
|-
 
|-
−
| isnull ||
+
| [[Array.j() | j ]] ||
 
|-
 
|-
−
| istype ||
+
| [[Array.joincolumnswith() | joincolumnswith ]] || "ArrayOfJoinCharacters,IsRepeat"
 
|-
 
|-
−
| j ||
+
| [[Array.joinrowswith() | joinrowswith ]] || "ArrayOfJoinCharacters,IsRepeat"
 
|-
 
|-
−
| joincolumnswith || ArrayOfJoinCharacters,IsRepeat
+
| [[Array.joinwith() | joinwith ]] ||
 
|-
 
|-
−
| joinrowswith || ArrayOfJoinCharacters,IsRepeat
+
| [[Array.jq() | jq ]] ||
 
|-
 
|-
−
| joinwith ||
+
| [[Array.keep() | keep ]] ||
 
|-
 
|-
−
| jq ||
+
| [[Array.last() | last ]] || Count
 
|-
 
|-
−
| keep ||
+
| [[Array.lastelement() | lastelement ]] || Count
 
|-
 
|-
−
| last || Count
+
| [[Array.list() | list ]] ||
 
|-
 
|-
−
| lastelement || Count
+
| [[Array.lookup() | lookup ]] ||
 
|-
 
|-
−
| list ||
+
| [[Array.make() | make ]] ||
 
|-
 
|-
−
| lookup ||
+
| [[Array.make1to2d() | make1to2d ]] || ReplaceOriginal
 
|-
 
|-
−
| make ||
+
| [[Array.makecore() | makecore ]] ||
 
|-
 
|-
−
| make1to2d || ReplaceOriginal
+
| [[Array.makekeyarray() | makekeyarray ]] || Recursive
 
|-
 
|-
−
| makecore ||
+
| [[Array.maplist() | maplist ]] || fun
 
|-
 
|-
−
| makekeyarray || Recursive
+
| [[Array.mapper() | mapper ]] || Function
 
|-
 
|-
−
| maplist || fun
+
| [[Array.maprow() | maprow ]] || Function
 
|-
 
|-
−
| mapper || Function
+
| [[Array.mask() | mask ]] ||
 
|-
 
|-
−
| maprow || Function
+
| [[Array.match() | match ]] || Expression
 
|-
 
|-
−
| mask ||
+
| [[Array.matchcolumn() | matchcolumn ]] || "Expression, Column"
 
|-
 
|-
−
| match || Expression
+
| [[Array.matchindex() | matchindex ]] || "Expression, IndexThenFromMatch"
 
|-
 
|-
−
| matchcolumn || Expression, Column
+
| [[Array.matchrow() | matchrow ]] || "Expression, Row"
 
|-
 
|-
−
| matchindex || Expression, IndexThenFromMatch
+
| [[Array.matchvalue() | matchvalue ]] || "Expression, IndexThenFromMatch"
 
|-
 
|-
−
| matchrow || Expression, Row
+
| [[Array.merge() | merge ]] || "OtherArray, Function"
 
|-
 
|-
−
| matchvalue || Expression, IndexThenFromMatch
+
| [[Array.mergecolumns() | mergecolumns ]] || OtherArray
 
|-
 
|-
−
| merge || OtherArray, Function
+
| [[Array.mergeio() | mergeio ]] ||
 
|-
 
|-
−
| mergecolumns || OtherArray
+
| [[Array.mergerows() | mergerows ]] ||
 
|-
 
|-
−
| mergeio ||
+
| [[Array.mid() | mid ]] || "From,Count"
 
|-
 
|-
−
| mergerows ||
+
| [[Array.millionth() | millionth ]] ||
 
|-
 
|-
−
| mid || From,Count
+
| [[Array.multiply() | multiply ]] ||
 
|-
 
|-
−
| millionth ||
+
| [[Array.nicejoin() | nicejoin ]] || "JoinString, EndString, SubArrayString"
 
|-
 
|-
−
| multiply ||
+
| [[Array.nineteenth() | nineteenth ]] ||
 
|-
 
|-
−
| nicejoin || JoinString, EndString, SubArrayString
+
| [[Array.nineth() | nineth ]] ||
 
|-
 
|-
−
| nineteenth ||
+
| [[Array.nodeindex() | nodeindex ]] ||
 
|-
 
|-
−
| nineth ||
+
| [[Array.notinclude() | notinclude ]] || Item
 
|-
 
|-
−
| nodeindex ||
+
| [[Array.notwithinlimits() | notwithinlimits ]] || "LimitArray, IncludeEdges"
 
|-
 
|-
−
| notinclude || Item
+
| [[Array.nth() | nth ]] || "Nth, Count"
 
|-
 
|-
−
| notwithinlimits || LimitArray, IncludeEdges
+
| [[Array.ntimes() | ntimes ]] || "Function, NumberOfIterations, Accuracy, Converge"
 
|-
 
|-
−
| nth || Nth, Count
+
| [[Array.nullifyobjects() | nullifyobjects ]] || Recursive
 
|-
 
|-
−
| ntimes || Function, NumberOfIterations, Accuracy, Converge
+
| [[Array.numbers() | numbers ]] || ForceCheckOnVariables
 
|-
 
|-
−
| nullifyobjects || Recursive
+
| [[Array.o() | o ]] ||
 
|-
 
|-
−
| numbers || ForceCheckOnVariables
+
| [[Array.objects() | objects ]] ||
 
|-
 
|-
−
| o ||
+
| [[Array.of() | of ]] ||
 
|-
 
|-
−
| objects ||
+
| [[Array.otherthan() | otherthan ]] || ArrayWithElementsToExclude
 
|-
 
|-
−
| of ||
+
| [[Array.pack() | pack ]] ||
 
|-
 
|-
−
| otherthan || ArrayWithElementsToExclude
+
| [[Array.pad() | pad ]] || "Length, PadString"
 
|-
 
|-
−
| pack ||
+
| [[Array.pair() | pair ]] || "Value, OnRight"
 
|-
 
|-
−
| pad || Length, PadString
+
| [[Array.pairmatch() | pairmatch ]] || "AtFoldValue, AtReverseFoldValue, StartFrom"
 
|-
 
|-
−
| pair || Value, OnRight
+
| [[Array.partitiononcondition() | partitiononcondition ]] || "TakeDropOrAllFlag, Function, Parameter"
 
|-
 
|-
−
| pairmatch || AtFoldValue, AtReverseFoldValue, StartFrom
+
| [[Array.parts() | parts ]] || "NumberOfParts, SpecificPart"
 
|-
 
|-
−
| partitiononcondition || TakeDropOrAllFlag, Function, Parameter
+
| [[Array.pastefolds() | pastefolds ]] || MidOnly
 
|-
 
|-
−
| parts || NumberOfParts, SpecificPart
+
| [[Array.pick() | pick ]] || "StyleString, JoinString"
 
|-
 
|-
−
| pastefolds || MidOnly
+
| [[Array.pieces() | pieces ]] || " Width, Function"
 
|-
 
|-
−
| pick || StyleString, JoinString
+
| [[Array.pip() | pip ]] ||
−
|-
 
−
| pieces ||  Width, Function
 
 
|-
 
|-
−
| pip ||
+
| [[Array.pipall() | pipall ]] ||
 
|-
 
|-
−
| pipall ||
+
| [[Array.pipallwithslice() | pipallwithslice ]] ||
 
|-
 
|-
−
| pipallwithslice ||
+
| [[Array.plot() | plot ]] ||
 
|-
 
|-
−
| plot ||
+
| [[Array.prefix() | prefix ]] ||
 
|-
 
|-
−
| prefix ||
+
| [[Array.primitives() | primitives ]] ||
 
|-
 
|-
−
| primitives ||
+
| [[Array.print() | print ]] ||
 
|-
 
|-
−
| print ||
+
| [[Array.printf() | printf ]] ||
 
|-
 
|-
−
| printf ||
+
| [[Array.r() | r ]] ||
 
|-
 
|-
−
| r ||
+
| [[Array.rand() | rand ]] ||
 
|-
 
|-
−
| rand ||
+
| [[Array.random() | random ]] || "Base,Numbers"
 
|-
 
|-
−
| random || Base,Numbers
+
| [[Array.remove() | remove ]] ||
 
|-
 
|-
−
| remove ||
+
| [[Array.removeByVal() | removeByVal ]] || Value
 
|-
 
|-
−
| removeByVal || Value
+
| [[Array.removeindices() | removeindices ]] ||
 
|-
 
|-
−
| removeindices ||  
+
| [[Array.removewith() | removewith ]] ||
 
|-
 
|-
−
| removewith ||
+
| [[Array.repeatntimes() | repeatntimes ]] || "Function, NumberOfIterations, Accuracy, Converge"
 
|-
 
|-
−
| repeatntimes || Function, NumberOfIterations, Accuracy, Converge
+
| [[Array.replace() | replace ]] || "ExpressionArrayOrValues, ReplaceWith"
 
|-
 
|-
−
| replace || ExpressionArrayOrValues, ReplaceWith
+
| [[Array.replicate() | replicate ]] || Count
 
|-
 
|-
−
| replicate || Count
+
| [[Array.rest() | rest ]] || "Start, Count"
 
|-
 
|-
−
| rest || Start, Count
+
| [[Array.result() | result ]] ||
 
|-
 
|-
−
| result ||
+
| [[Array.reverselevel() | reverselevel ]] || Level
 
|-
 
|-
−
| reverselevel || Level
+
| [[Array.reversepip() | reversepip ]] ||
 
|-
 
|-
−
| reversepip ||
+
| [[Array.reversesort() | reversesort ]] || Function
 
|-
 
|-
−
| reversesort || Function
+
| [[Array.ri() | ri ]] ||
 
|-
 
|-
−
| ri ||
+
| [[Array.rotate() | rotate ]] || NumberOfSteps
 
|-
 
|-
−
| rotate || NumberOfSteps
+
| [[Array.rotatecolumns() | rotatecolumns ]] || NumberOfSteps
 
|-
 
|-
−
| rotatecolumns || NumberOfSteps
+
| [[Array.rotaterows() | rotaterows ]] || NumberOfSteps
 
|-
 
|-
−
| rotaterows || NumberOfSteps
+
| [[Array.row() | row ]] ||
 
|-
 
|-
−
| row ||
+
| [[Array.rowconcat() | rowconcat ]] || OtherArray
 
|-
 
|-
−
| rowconcat || OtherArray
+
| [[Array.rowcount() | rowcount ]] ||
 
|-
 
|-
−
| rowcount ||
+
| [[Array.rowlengths() | rowlengths ]] || Function
 
|-
 
|-
−
| rowlengths || Function
+
| [[Array.rowpush() | rowpush ]] || OtherArray
 
|-
 
|-
−
| rowpush || OtherArray
+
| [[Array.rows() | rows ]] ||
 
|-
 
|-
−
| rows ||
+
| [[Array.rslice() | rslice ]] ||
 
|-
 
|-
−
| rslice ||
+
| [[Array.second() | second ]] ||
 
|-
 
|-
−
| second ||
+
| [[Array.secondhalf() | secondhalf ]] ||
 
|-
 
|-
−
| secondhalf ||
+
| [[Array.seq() | seq ]] || "StartIndex, By"
 
|-
 
|-
−
| seq || StartIndex, By
+
| [[Array.set() | set ]] ||
 
|-
 
|-
−
| set ||
+
| [[Array.setaxis() | setaxis ]] || "Axis, ColumnValues"
 
|-
 
|-
−
| setHeadings ||
+
| [[Array.setcolumn() | setcolumn ]] || "Column, ColumnValues"
 
|-
 
|-
−
| setaxis || Axis, ColumnValues
+
| [[Array.setHeadings() | setHeadings ]] ||
 
|-
 
|-
−
| setcolumn || Column, ColumnValues
+
| [[Array.setrow() | setrow ]] || "Row, Array"
 
|-
 
|-
−
| setrow || Row, Array
+
| [[Array.setunit() | setunit ]] ||
 
|-
 
|-
−
| setunit ||
+
| [[Array.seventeenth() | seventeenth ]] ||
 
|-
 
|-
−
| seventeenth ||
+
| [[Array.seventh() | seventh ]] ||
 
|-
 
|-
−
| seventh ||
+
| [[Array.shiftlevel() | shiftlevel ]] || "Level, NumberOfTimes"
 
|-
 
|-
−
| shiftlevel || Level, NumberOfTimes
+
| [[Array.shuffle() | shuffle ]] ||
 
|-
 
|-
−
| shuffle ||
+
| [[Array.sixteenth() | sixteenth ]] ||
 
|-
 
|-
−
| sixteenth ||
+
| [[Array.sixth() | sixth ]] ||
 
|-
 
|-
−
| sixth ||
+
| [[Array.size() | size ]] ||
 
|-
 
|-
−
| size ||
+
| [[Array.size2d() | size2d ]] ||
 
|-
 
|-
−
| size2d ||
+
| [[Array.slices() | slices ]] || SliceExpression
 
|-
 
|-
−
| slices || SliceExpression
+
| [[Array.slides() | slides ]] ||
 
|-
 
|-
−
| slides ||
+
| [[Array.sortrecursively() | sortrecursively ]] ||
 
|-
 
|-
−
| sortrecursively ||
+
| [[Array.sortwith() | sortwith ]] ||
 
|-
 
|-
−
| sortwith ||
+
| [[Array.specialprint() | specialprint ]] || "Trimmed,TabLevel"
 
|-
 
|-
−
| specialprint || Trimmed,TabLevel
+
| [[Array.spliteach() | spliteach ]] || "SplitExpression, RetainSplitterAlsoInResult"
 
|-
 
|-
−
| spliteach || SplitExpression, RetainSplitterAlsoInResult
+
| [[Array.splitwhile() | splitwhile ]] ||
 
|-
 
|-
−
| splitwhile ||
+
| [[Array.splitwhileasvector() | splitwhileasvector ]] ||
 
|-
 
|-
−
| splitwhileasvector ||
+
| [[Array.stringlist() | stringlist ]] ||
 
|-
 
|-
−
| stringlist ||
+
| [[Array.subtract() | subtract ]] ||
 
|-
 
|-
−
| subtract ||
+
| [[Array.suchthat() | suchthat ]] ||
 
|-
 
|-
−
| suchthat ||
+
| [[Array.suchthatasvector() | suchthatasvector ]] ||
 
|-
 
|-
−
| suchthatasvector ||
+
| [[Array.suffix() | suffix ]] ||
 
|-
 
|-
−
| suffix ||
+
| [[Array.t() | t ]] ||
 
|-
 
|-
−
| t ||
+
| [[Array.table() | table ]] ||
 
|-
 
|-
−
| table ||
+
| [[Array.tablelookup() | tablelookup ]] || "RowValueMatch, ColumnValueMatch"
 
|-
 
|-
−
| tablelookup || RowValueMatch, ColumnValueMatch
+
| [[Array.tail() | tail ]] ||
 
|-
 
|-
−
| tail ||
+
| [[Array.takewhile() | takewhile ]] ||
 
|-
 
|-
−
| takewhile ||
+
| [[Array.takewhileasvector() | takewhileasvector ]] ||
 
|-
 
|-
−
| takewhileasvector ||
+
| [[Array.tenth() | tenth ]] ||
 
|-
 
|-
−
| tenth ||
+
| [[Array.third() | third ]] ||
 
|-
 
|-
−
| third ||
+
| [[Array.thirds() | thirds ]] ||
 
|-
 
|-
−
| thirds ||
+
| [[Array.thirteenth() | thirteenth ]] ||
 
|-
 
|-
−
| thirteenth ||
+
| [[Array.thousandth() | thousandth ]] ||
 
|-
 
|-
−
| thousandth ||
+
| [[Array.tofunctions() | tofunctions ]] ||
 
|-
 
|-
−
| tofunctions ||
+
| [[Array.toobjectformat() | toobjectformat ]] ||
 
|-
 
|-
−
| toobjectformat ||
+
| [[Array.totree() | totree ]] ||
 
|-
 
|-
−
| totree ||
+
| [[Array.transpose() | transpose ]] || IncludeHeader
 
|-
 
|-
−
| transpose || IncludeHeader
+
| [[Array.truefalse() | truefalse ]] || "IsCheckTrueFunctionList,IsCheckFalseFunctionList,DoFlattenFirst"
 
|-
 
|-
−
| truefalse || IsCheckTrueFunctionList,IsCheckFalseFunctionList,DoFlattenFirst
+
| [[Array.twelfth() | twelfth ]] ||
 
|-
 
|-
−
| twelfth ||
+
| [[Array.twentieth() | twentieth ]] ||
 
|-
 
|-
−
| twentieth ||
+
| [[Array.twod() | twod ]] ||
 
|-
 
|-
−
| twod ||
+
| [[Array.type() | type ]] ||
 
|-
 
|-
−
| type ||
+
| [[Array.uncrosstab() | uncrosstab ]] || UptoColumn
 
|-
 
|-
−
| uncrosstab || UptoColumn
+
| [[Array.unimplode() | unimplode ]] || RecurseTillLevel
 
|-
 
|-
−
| unimplode || RecurseTillLevel
+
| [[Array.unimplodeleaf() | unimplodeleaf ]] ||
 
|-
 
|-
−
| unimplodeleaf ||
+
| [[Array.unitsof() | unitsof ]] ||
 
|-
 
|-
−
| unitsof ||
+
| [[Array.unwrapleaf() | unwrapleaf ]] ||
 
|-
 
|-
−
| unwrapleaf ||
+
| [[Array.unzip() | unzip ]] ||
 
|-
 
|-
−
| unzip ||
+
| [[Array.value() | value ]] || Function
 
|-
 
|-
−
| value || Function
+
| [[Array.where() | where ]] || Term
 
|-
 
|-
−
| where || Term
+
| [[Array.withinlimits() | withinlimits ]] || "LimitArray, IncludeEdges"
 
|-
 
|-
−
| withinlimits || LimitArray, IncludeEdges
+
| [[Array.withouttail() | withouttail ]] ||
 
|-
 
|-
−
| withouttail ||
+
| [[Array.X$() | X$ ]] ||
 
|-
 
|-
−
| x$ || FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso,DoCentering
+
| [[Array.x$() | x$ ]] || "FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso,DoCentering"
 
|-
 
|-
−
| xy ||
+
| [[Array.xy() | xy ]] ||
 
|-
 
|-
−
| xypanel || FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso
+
| [[Array.xypanel() | xypanel ]] || "FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso"
 
|-
 
|-
−
| z3 ||
+
| [[Array.z3() | z3 ]] ||
 
|-
 
|-
−
| zero || ValueInstead, PreserveStructure
+
| [[Array.zero() | zero ]] || "ValueInstead, PreserveStructure"
 
|-
 
|-
−
| zip || OtherArray
+
| [[Array.zip() | zip ]] || OtherArray
 
|-
 
|-
−
| zoompip ||
+
| [[Array.ZJSON() | ZJSON ]] ||
 +
|-
 +
| [[Array.zoompip() | zoompip ]] ||
 
|-
 
|-
 
|㪭㭲 ||
 
|㪭㭲 ||

Revision as of 01:34, 3 January 2017

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
$d
$diag
$dth
$R
$X
$x
$_
__$
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
islikelytype
isnotnull
isnull
isTrue
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
setaxis "Axis, ColumnValues"
setcolumn "Column, ColumnValues"
setHeadings
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$
x$ "FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso,DoCentering"
xy
xypanel "FunctionArray, OffsetArray, ScaleArray, GiveIndicesAlso"
z3
zero "ValueInstead, PreserveStructure"
zip OtherArray
ZJSON
zoompip
㪭㭲


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