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 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 |