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Array Essentials Version 2.0: This version ads a few new functions and removes functions made relatively redundant with eta-reduced-formats.
/* Array Essentials V2 - A collection of basic array 5g Functions
This version trims the previous collection of 5g functions made redundant by eta-reduced syntax.*/
/* FUNCTION NAME: Aboutλ
DESCRIPTION:*//**Displays the URL to this module's Gist which includes documentation*/
/* REVISIONS: Date Developer Description
Nov 29 2024 Craig Hatmaker Copyright
Mar 11 2025 Craig Hatmaker General updates
Mar 15 2025 Craig Hatmaker See MLookupλ, XYLookupλ
Mar 24 2025 Craig Hatmaker See DAF versions of common Excel functions
*/
Aboutλ = TRIM(TEXTSPLIT(
"About: →Basic functions for working with dynamic arrays. Suggested module name: BXE¶" &
"Version: →BXL: Mar 24 2025¶" &
"Gist URL: →https://gist.github.com/CHatmaker/d0829c4bde303f5f8602c21158831323 ¶" &
"Website: →https://sites.google.com/site/beyondexcel/home/excel-library/ ¶" &
"→¶" &
"Function →Description¶" &
" Aboutλ →Produces this table¶" &
" CountCλ →Count how many of one or more characters are in a text string¶" &
" IsBetweenλ →Determine if a value is between a lower and upper limit.¶" &
" Instanceλ →Determine each value's instance within an array.¶" &
" IsInListλ →Determine if a value is one of a list of items.¶" &
" RangeToDAλ →Convert a range reference to a dynamic array reference¶" &
" RunTotColsλ →Create a running total for values in each column¶" &
" RunTotRowsλ →Create a running total for values in each row¶" &
"→¶" &
"Lookups →Lookup functions we wish Excel had¶" &
" MLookupλ →Find values matching 1+ criteria in 1 to 4 rows or columns (but not both).¶" &
" XYLookupλ →Find values matching 1+ criteria in a column, and 1+ in a header.¶" &
"→¶" &
"Rolling Suite →Functions that apply to a window over an array.¶" &
" Rollingλ →Create a window rolling over a row to apply a function to¶" &
" RollingAvgλ →Rolling AVERAGE¶" &
" RollingMaxλ →Rolling MAX¶" &
" RollingMinλ →Rolling MIN¶" &
" RollingSumλ →Rolling SUM¶" &
"→¶" &
"DAFs →Dynamic array versions of common Excel functions¶" &
" Andλ →A dynamic array version of AND() that processes each row or column¶" &
" Avgλ →A dynamic array version of AVERAGE() that processes each row or column¶" &
" Maxλ →A dynamic array version of MAX() that processes each row or column¶" &
" Minλ →A dynamic array version of MIN() that processes each row or column¶" &
" Orλ →A dynamic array version of OR() that processes each row or column¶" &
" Sumλ →A dynamic array version of SUM() that processes each row or column¶" &
" SumAλ →An alias for SUMλ that is easier to pick from Excel's dropdown¶" &
" ArrayVersionPrep →Prep Array1 plus nothing, a scalor, or another array before applying a function",
"→","¶"
)
);
/* FUNCTION NAME: CountCλ
DESCRIPTION:*//**Count occurences of character(s) in a string*/
/* REVISIONS: Date Developer Description
Feb 23 2024 Craig Hatmaker Copyright
*/
CountCλ = LAMBDA(
// Parameter Declarations
[Text],
[Characters],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →CountCλ( Text, Characters)¶" &
"DESCRIPTION: →Count how many of one or more characters are in a string.¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Feb 23 2024¶" &
"PARAMETERS: →¶" &
" Text →(Required) The string to interrogate¶" &
" Characters →(Required) A single character, or CSV of characters to find in Text¶" &
"→NOTE! Case sensitive¶" &
"EXAMPLES: →¶" &
" Formula →=CountCλ( ""Mary had a little lamb"", ""a,b"")¶" &
" Result →5",
"→", "¶" )
),
// Check inputs - Omitted required arguments
Help?, OR( ISOMITTED( Text),
ISOMITTED( Characters)
),
// Set defaults
Characters, TEXTSPLIT( Characters, "," ),
// Procedure
Result, LEN(Text) - SUM(LEN(TEXTSPLIT( Text, Characters))),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: Instanceλ
DESCRIPTION:*//**Determine each value's instance within an array*/
/* REVISIONS: Date Developer Description
Nov 29 2024 Craig Hatmaker Copyright
*/
Instanceλ = LAMBDA(
// Parameter Declarations
[Values],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →Instanceλ( Values)¶" &
"DESCRIPTION: →Determine each value's instance within an array¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Nov 29 2024¶" &
"PARAMETERS: →¶" &
" Values →(Required) A row or column of values.¶" &
"EXAMPLES :→¶" &
" Formula: →=Instanceλ({2,3,3,4,1,3,3,4,1,1})¶" &
" Result: →1,1,2,1,1,3,4,2,2,3",
"→", "¶"
)
),
// Check inputs - Omitted required arguments
Help?, OR( ISOMITTED( Values)),
// Procedure
Elements, COUNTA( Values),
Counter, IF( ROWS( Values) > 1, SEQUENCE( Elements), SEQUENCE( , Elements)),
Result, MAP( Values, Counter,
LAMBDA( Val, n,
SUM(( Val = Values) * (Counter <= n)))),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: IsBetweenλ
DESCRIPTION:*//**Determine if a value is between a lower and upper limit*/
/* REVISIONS: Date Developer Description
Jun 01 2022 Craig Hatmaker Copyright
Apr 12 2023 Craig Hatmaker Added Help
*/
IsBetweenλ = LAMBDA(
// Parameter Declarations
[Values],
[Low],
[High],
[Inclusive],
// Help
LET(
Help, TRIM( TEXTSPLIT(
"FUNCTION: →IsBetweenλ(Values, Low, High, [Inclusive])¶" &
"DESCRIPTION: →Determine if a value is between a lower and upper limit.¶" &
"WEBSITE: →https://sites.google.com/site/beyondexcel/home/5g-modeling/5g-sample-components/5g-isbetween%CE%BB ¶" &
"VERSION: →BXL: Feb 24 2025¶" &
"PARAMETERS: →¶" &
" Values →(Required) one or more values to compare.¶" &
" Low →(Required) The lower limit that the value(s) must be greater than¶" &
" High →(Required) The higher limit that the value(s) must be less than¶" &
" Inclusive →(Optional) TRUE: Value(s) can be equal to Low and/or High (default)¶" &
"EXAMPLES: →¶" &
" Result →Formula¶" &
" FALSE →=IsBetweenλ(1, 2, 4)¶" &
" TRUE →=IsBetweenλ(Today(), Today(), Today()+1)¶" &
" FALSE →=IsBetweenλ(""B"", ""B"", ""D"", FALSE)",
"→", "¶"
)
),
// Check inputs - Set optional arguments defaults
Inclusive, IF(ISLOGICAL(Inclusive), Inclusive, TRUE),
// Check inputs - Omitted required arguments
Help?, OR(
ISOMITTED(Values),
ISOMITTED(Low),
ISOMITTED(High)
),
// Procedure
Result, IF( Inclusive,
(Values >= Low) * (Values <= High) = 1,
(Values > Low) * (Values < High) = 1
),
// Return Result
CHOOSE(Help? + 1, Result, Help)
)
);
/* FUNCTION NAME: IsInListλ
DESCRIPTION:*//**Determine if a value is between a lower and upper limit*/
/* REVISIONS: Date Developer Description
Jun 18 2023 Craig Hatmaker Copyright
Feb 28 2024 Craig Hatmaker Updated to new standards
*/
IsInListλ = LAMBDA(
// Parameter Declarations
[Value],
[LIST],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →IsInListλ( Value, List)¶" &
"DESCRIPTION: →Determine if a value is one of a list of items.¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Nov 29 2024¶" &
"PARAMETERS: →¶" &
" Value →(Required) A value or array of values to compare.¶" &
" List →(Required) A list of values to check¶" &
"→¶" &
"EXAMPLES :→¶" &
" Result →Formula¶" &
"  FALSE → =IsInListλ(1, {2,3,4})¶" &
"  TRUE → =IsInListλ(1, {1,3,5})¶" &
"→", "¶"
)
),
// Check inputs - Omitted required arguments
Help?, OR( ISOMITTED( Value),
ISOMITTED( LIST)
),
// Procedure
Result, NOT( ISNA( MATCH( Value, List, 0))),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: RangeToDAλ
DESCRIPTION:*//**Convert a range reference to a dynamic array reference*/
/* REVISIONS: Date Developer Description
Aug 19,2023 Craig Hatmaker Copyright
*/
RangeToDAλ = LAMBDA(
// Parameter Declarations
[Range],
[Rows],
[Columns],
LET(
// Help
Help, TRIM(TEXTSPLIT(
"FUNCTION: →RangeToDAλ(Range, [Rows], [Columns])¶" &
"DESCRIPTION: →Convert a range reference to a dynamic array reference.¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Nov 29 2024¶" &
"PARAMETERS: →¶" &
" Range →(Required) A reference to the range to be converted.¶" &
" Rows →(Optional) Number of rows for the dynamic array. Defaults to 1.¶" &
"Columns →(Optional) Number of columns for the dynamic array. Defaults to 1.¶" &
"→¶" &
"EXAMPLES: →=RangeToDAλ(A1, , ModelPeriodCount)",
"→", "¶"
)
),
// Check inputs - Omitted required arguments
Help?, ISOMITTED( Range),
// Check inputs - Set optional arguments' defaults
Rows, IF( ISNUMBER( Rows), Rows, 1),
Columns, IF( ISNUMBER( Columns), Columns, 1),
// Procedure
Result, OFFSET( Range, 0, 0, Rows, Columns),
// Return Result or help
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: Rollingλ
DESCRIPTION:*//**Create a window rolling over a row to apply a function to*/
/* REVISIONS: Date Developer Description
Feb 23 2024 Craig Hatmaker Copyright
*/
Rollingλ = LAMBDA(
// Parameter Declarations
[Row],
[Size],
[Offset],
[AllowPartial],
[Function],
LET(
// Help
Help, TRIM(TEXTSPLIT(
"FUNCTION: →Rollingλ(Row, [Size], [Offset], [Function])¶" &
"DESCRIPTION: →Moves a window across a row and applies a function to the window¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Nov 29 2024¶" &
"PARAMETERS: →¶" &
" Row →(Required) A row or values to roll the window over.¶" &
" Size →(Optional) Window's size (number of values selected). Must be > 0. Defaults to 3.¶" &
" Offset →(Optional) Number of values to the right (+) or Left (-) of current position. Defaults to -2.¶" &
" AllowPartial →(Optional) TRUE (default) Apply function to window that starts before, or ends after row's start and end.¶" &
" Function →(Optional) An Excel function accepting an array of values or a LAMBDA. Default is SUM()¶" &
"→¶" &
"EXAMPLES: →=Rollingλ(SEQUENCE( ,10), , , AVERAGE)",
"→", "¶"
)
),
// Check inputs - Omitted required arguments
Help?, ISOMITTED( Row),
// Check inputs - Set optional arguments' defaults
Size, IF( ISOMITTED( Size), 3, Size),
Offset, IF( ISOMITTED( Offset), -2, Offset),
AllowPartial, IF( ISOMITTED( AllowPartial), TRUE, AllowPartial),
// Procedure
Elements, COLUMNS( Row),
Counter, SEQUENCE( , Elements, 0),
Result, MAP( Counter,
LAMBDA(
n,
LET(Right, n + Offset + Size - 1,
Left, n + Offset,
Window, TAKE( TAKE( Row, , Right) , , -(MIN(Right, Elements) - Left + 1)),
Result, IF( OR( Right < 1, Left > Elements),
NA(),
IF(AND( NOT( AllowPartial), OR(Right > Elements, Left < 1)),
NA(),
IF( ISOMITTED(Function),
SUM(Window),
Function( Window)
)
)
),
Result//Textjoin(",", , left, Right, MIN(Right, Elements) - Left + 1)
)
)
),
// Return Result or help
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: RunTotColsλ
DESCRIPTION:*//**Create a running total for values in each column of an array*/
/* REVISIONS: Date Developer Description
Sep 05 2024 Craig Hatmaker Initial development w/help from Diarmuid Early
*/
RunTotColsλ = LAMBDA(
// Parameter Declarations
[Values],
[OpeningValues],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →RunTotColsλ( Values, [OpeningValues])¶" &
"DESCRIPTION: →Create a running total for values in each column of an array¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Sep 05 2024¶" &
"PARAMETERS: →¶" &
" Values →(Required) A 1 or 2 dimensional array/range of values.¶" &
" OpeningValues →(Optional) Opening values for each column in Values. Default is 0.¶" &
"EXAMPLES :→¶" &
" Formula: →=RunTotColsλ( SEQUENCE(3,4))¶" &
" Result: →01,02,03,04;¶" &
"→06,08,10,12;¶" &
"→15,18,21,24",
"→", "¶"
)
),
// Check inputs - Omitted required arguments
Help?, OR( ISOMITTED( Values)),
// Set Defaults
OpeningValues, IF( ISOMITTED( OpeningValues), 0, OpeningValues),
// Procedure
Values, TRANSPOSE( Values),
Scanned, SCAN( 0, Values, SUM),
/* LET step Scanned produces a running total of everything.
LET step RowReset fixes the first value in each row */
RowReset, Scanned - DROP( VSTACK( 0, TAKE( Scanned, , -1)), -1),
Result, TRANSPOSE( OpeningValues + RowReset),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: RunTotRowsλ
DESCRIPTION:*//**Create a running total for values in each row of an array*/
/* REVISIONS: Date Developer Description
Sep 05 2024 Craig Hatmaker Initial development w/help from Diarmuid Early
*/
RunTotRowsλ = LAMBDA(
// Parameter Declarations
[Values],
[OpeningValues],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →RunTotRowsλ( Values, [OpeningValues])¶" &
"DESCRIPTION: →Create a running total for values in each row of an array¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Sep 05 2024¶" &
"PARAMETERS: →¶" &
" Values →(Required) A 1 or 2 dimensional array/range of values.¶" &
"OpeningValues →(Optional) Opening values for each row in Values. Default is 0.¶" &
"EXAMPLES :→¶" &
" Formula: →=RunTotRowsλ( SEQUENCE(3,4))¶" &
" Result: →01,03,06,10;¶" &
"→05,11,18,26;¶" &
"→09,19,30,42",
"→", "¶"
)
),
// Check inputs - Omitted required arguments
Help?, OR( ISOMITTED( Values)),
// Set Defaults
OpeningValues, IF( ISOMITTED( OpeningValues), 0, OpeningValues),
// Procedure
Scanned, SCAN( 0, Values, SUM),
/* LET step Scanned produces a running total of everything.
LET step RowReset fixes the first value in each row */
RowReset, Scanned - DROP( VSTACK( 0, TAKE( Scanned, , -1)), -1),
Result, OpeningValues + RowReset,
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: MLookupλ
DESCRIPTION:*//**Multiple criteria dynamic array lookup*/
/* REVISIONS: Date Developer Description
Mar 07 2025 Craig Hatmaker Copyright
Mar 15 2025 Craig Hatmaker Fixed FindValues# to accept numbers or dates entered as strings
*/
MLookupλ = LAMBDA(
// Parameter Declarations
[ReturnArray],
[FindValues1],
[InArray1],
[FindValues2],
[InArray2],
[FindValues3],
[InArray3],
[FindValues4],
[InArray4],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →MLookupλ( ReturnArray, FindValues1, InArray1, [FindValues2], [InArray2],¶" &
"→  [FindValues3], [InArray3], [FindValues4], [InArray4]) ¶" &
"DESCRIPTION: →Find values matching 1+ criteria in 1 to 4 rows or columns (but not both).¶" &
"→Return #N/A if nothing found.¶" &
"WEBPAGE: →https://sites.google.com/site/beyondexcel/home/5g-modeling/5g-component-libraries/5g-array-essentials-library/5g-mlookup%CE%BB¶" &
"VERSION: →BXL: Mar 07 2025¶" &
"PARAMETERS: →¶" &
" ReturnArray →(Required) An array containing items to return¶" &
" FindValues1 →(Required) An array or comma separated string containing values to find in InArray1¶" &
" InArray1 →(Required) A 1 dimensional array with as many rows or columns as ReturnArray to search with FindValues1¶" &
" FindValues2 →(Optional) Same as FindValues1, but for finding in InArray2¶" &
" InArray2 →(Optional) An array of the same dimensions as InArray1, to search with FindValues2¶" &
" FindValues3 →(Optional) Same as FindValues1, but for finding in InArray3¶" &
" InArray3 →(Optional) An array of the same dimensions as InArray1, to search with FindValues3¶" &
" FindValues4 →(Optional) Same as FindValues1, but for finding in InArray4¶" &
" InArray4 →(Optional) An array of the same dimensions as InArray1, to search with FindValues4¶" &
"→¶" &
"EXAMPLE: →Assume we have this table named: tblFruit¶" &
" Data →Fruit  Color  Origin  Price¶" &
"→Apples  Red    USA    1.50¶" &
"→Pears   Golden  GTM    1.00¶" &
"→Apples Golden  PE    1.25¶" &
"→Grapes Red    MX    1.35¶" &
"→Grapes Golden  PE    1.00¶" &
" Scenario: →Find the price of red apples¶" &
"  Formula: →=MLookupλ(tblFruit[Price], ""red"", tblFruit[Color], ""Apples"", tblFruit[Fruit])¶" &
"  Result →1.50¶" &
" Scenario: →Find the price of red apples or grapes¶" &
"  Formula: →=MLookupλ(tblFruit[Price], ""Red"", tblFruit[Color],""Apples,Grapes"", tblFruit[Fruit])¶" &
"  Result →1.50;1.35¶" &
" Scenario: →Find the price of red or golden apples or pears¶" &
"  Formula: →=MLookupλ(tblFruit[Price], ""Red,Golden"", tblFruit[Color],""Apples,Pears"", tblFruit[Fruit])¶" &
"  Result →1.50; 1.00; 1.25¶" &
" Scenario: →Return rows for Apples or Grapes that are Red or Green and come from Peru, Guatamala, or USA¶" &
"  Formula: →=MLookupλ(tblFruit[Price], ""Red,Golden"", tblFruit[Color],""Apples,Pears"", tblFruit[Fruit])¶" &
"  Result →Apples,Red,USA,1.50",
"→", "¶"
)
),
// Check inputs - Omitted required arguments
Help?, OR( ISOMITTED( ReturnArray),
OR( ISOMITTED( FindValues1), FindValues1=""),
OR( ISOMITTED( InArray1), InArray1="")
),
// This function attempts to convert FindValues# to an appropriate Matches# argument
FixFindValues, LAMBDA( FindValues,
IF( OR( ISOMITTED(FindValues), LEN( TRIM( FindValues)) = 0),
{""},
IF( COUNTA( FindValues) = 1,
LET(
Values, TRIM( TEXTSPLIT( FindValues, ",")),
IFERROR( VALUE( Values), Values)),
FindValues)
)
),
FindValues1, FixFindValues(FindValues1),
FindValues2, FixFindValues(FindValues2),
FindValues3, FixFindValues(FindValues3),
FindValues4, FixFindValues(FindValues4),
// This function attempts to convert InArray# to an appropriate Matches# argument
FixInArray, LAMBDA( InArray, FindValues,
IF( OR( ISOMITTED( InArray), LEN( TRIM( FindValues)) = 0),
{""},
InArray)
),
// IF InArray# or FindValues# are not an array, use {""}
InArray1, FixInArray( InArray1, FindValues1),
InArray2, FixInArray( InArray2, FindValues2),
InArray3, FixInArray( InArray3, FindValues3),
InArray4, FixInArray( InArray4, FindValues4),
// Determine Matches
Matches1, ISNUMBER( MATCH( InArray1, FindValues1, 0)),
Matches2, ISNUMBER( MATCH( InArray2, FindValues2, 0)),
Matches3, ISNUMBER( MATCH( InArray3, FindValues3, 0)),
Matches4, ISNUMBER( MATCH( InArray4, FindValues4, 0)),
// Set Filter
Filter, Matches1 * Matches2 * Matches3 * Matches4,
// Filter
Result, IF( SUM( Filter) > 0, FILTER( ReturnArray, Filter), #N/A),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: XYLookupλ
DESCRIPTION:*//**2-way dynamic array lookup*/
/* REVISIONS: Date Developer Description
Mar 15 2025 Craig Hatmaker Copyright
*/
XYLookupλ=LAMBDA(
// Parameter Declarations
[ReturnArray],
[VFindValues],
[VInArray],
[HFindValues],
[HInArray],
[IfNotFound],
[MatchMode],
[SearchMode],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →XYLookupλ( ReturnArray, VLookupValues, VArray, HLookupValues, HArray,¶" &
"→[IfNotFound], [MatchMode], [SearchMode])¶" &
"DESCRIPTION: →Find values matching 1+ criteria in a column, and 1+ in a header.¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Mar 15 2024¶" &
"PARAMETERS: →¶" &
" ReturnArray →(Required) A 2 dimensional range or table containing values to return¶" &
" VFindValues →(Required) 1+ criteria to find in VInArray¶" &
" VInArray →(Required) A column of values relating to each row in ReturnArray¶" &
" HFindValues →(Required) 1+ critiera to find in HInArray¶" &
" HInArray →(Required) A row of values (normally a header) relating to each column in ReturnArray.¶" &
" IfNotFound →(Optional) What to return when lookups fail: Default is #NA.¶" &
" MatchMode →(Optional) Specify:¶" &
"→0 - (Default) Exact match. If none found, return #NA.¶" &
"→-1- Exact match. If none found, return next smaller item.¶" &
"→1 - Exact match. If none found, return next larger item.¶" &
"→2 - A wildcard match where *, ?, and ~ have special meaning.¶" &
" SearchMode →(Optional) Specify:¶" &
"→1 - (Default) Search from the start¶" &
"→-1- Search from the end¶" &
"→2 - Search list sorted in ascending order. Fails if unsorted.¶" &
"→-2- Search list sorted in descending order. Fails if unsorted.¶" &
"→¶" &
"EXAMPLE: →Assume we have data created by this formula in cell B2:¶" &
" Data →=LET(¶" &
"→Dates, EDATE(""2024-01-01"", SEQUENCE( ,12,0)),¶" &
"→Fruit, {""Apples"";""Pears"";""Grapes"";""Figs""},¶" &
"→Data, SEQUENCE(4, 12),¶" &
"→VSTACK( HSTACK(""Fruit↓ Dates->"", Dates), HSTACK( Fruit, Data)))¶" &
" Scenario: →Find the price of Figs on Jun 1st 2024¶" &
"  Formula →=XYLookupλ(C3:N6,""Figs"", B3:B6,""2024-06-01"", C2:N2)¶" &
"  Result →42¶" &
" Scenario: →Find the price of Apples and Figs on 2024-03-01 and 2024-05-15¶" &
"  Formula →=XYLookupλ(C3:N6,""Apples,Figs"", B3:B6,""2024-05-01, 2024-08-01"", C2:N2,,-1)¶" &
"  Result →{5, 8; 41, 44}",
"→", "¶"
)
),
// Check inputs - Omitted required arguments
Help?, OR( ISOMITTED( ReturnArray),
ISOMITTED( VFindValues),
ISOMITTED( VInArray),
ISOMITTED( HFindValues),
ISOMITTED( HInArray)
),
// Set defaults
IfNotFound, IF( ISOMITTED( IfNotFound), NA(), IfNotFound),
MatchMode, IF( ISOMITTED( MatchMode), 0, MatchMode),
SearchMode, IF( ISOMITTED( SearchMode), 1, SearchMode),
// This function attempts to convert xLookupValues to an appropriate Matches# argument
FixFindValues, LAMBDA( FindValues,
IF( OR( ISOMITTED(FindValues), LEN( TRIM( FindValues)) = 0),
{""},
IF( COUNTA( FindValues) = 1,
LET(
Values, TRIM( TEXTSPLIT( FindValues, ",")),
IFERROR( VALUE( Values), Values)),
FindValues)
)
),
VFindValues, FixFindValues( VFindValues),
HFindValues, FixFindValues( HFindValues),
// Prep
Cols, COLUMNS( ReturnArray),
Rows, ROWS( ReturnArray),
BaseRow, EXPAND( 0, 1, Cols, 0),
BaseCol, EXPAND( 0, Rows, 1, 0),
RowCounter, SEQUENCE( Rows),
ColCounter, SEQUENCE( , Cols),
// Procedure
VMatches, XMATCH( VFindValues, VInArray, MatchMode, SearchMode),
VFilter, N( REDUCE( BaseCol, VMatches,
LAMBDA( Acc, n,
MAP( Acc, n = RowCounter, OR)
)
)
),
HMatches, XMATCH( HFindValues, HInArray, MatchMode, SearchMode),
HFilter, N( REDUCE( BaseRow, HMatches,
LAMBDA( Acc, n,
MAP( Acc, n = ColCounter, OR)
)
)
),
FilteredRows, FILTER( ReturnArray, VFilter),
FilteredCols, FILTER( FilteredRows, HFilter),
Result, IFNA( FilteredCols, IfNotFound),
// Return Result
IF(Help?, Help, Result)
)
);
// Dynamic array versions of common Excel functions
/* FUNCTION NAME: ANDλ
DESCRIPTION:*//**A dynamic array version of AND() that processes rows or columns at a time*/
/* REVISIONS: Date Developer Description
Mar 22 2025 Craig Hatmaker Copyright
*/
Andλ = LAMBDA(
// Parameter Declarations
[Array1],
[Array2],
[ByCol],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →Andλ( Array1, [Array2], [ByCol])¶" &
"DESCRIPTION: →A dynamic array version of AND() that processes rows or columns at a time¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Mar 24, 2025¶" &
"PARAMETERS: →¶" &
" Array1 →(Required) An array containing values to compare¶" &
"→ If ByCol = TRUE and we need to compare many separate arrays¶" &
"→ HSTACK them first into this argument. If ByCol = FALSE, VSTACK them.¶" &
" Array2 →(Required) A single character or an array to compare with Array1.¶" &
"→ If ByCol = TRUE and Array2 is an array, Array2 must have the same¶" &
"→ number of columns as Array1. If ByCol = FALSE, Array2 must have the¶" &
"→ same number of rows as Array1¶" &
" ByCol →(Required) TRUE=processes columns. FALSE=Processes rows. ¶" &
"→ If this function is not in the same row as Array1, this defaults to TRUE¶" &
"EXAMPLES: →¶" &
" Setup →J4# contains this array:=SEQUENCE( 3, 5, -7) > -5¶" &
"→J8# contains this array:=SEQUENCE( 1, 5, 2, -1) < 1¶" &
"→J10 contains this value: 1¶" &
" Formula →=Andλ(J4#)¶" &
" Result →FALSE, FALSE, FALSE, TRUE, TRUE¶" &
" Formula →=Andλ(J4#,J10)¶" &
" Result →FALSE, FALSE, FALSE, FALSE, FALSE¶" &
" Formula →=Andλ(J4#, J8#)¶" &
" Result →FALSE, FALSE, FALSE, TRUE, TRUE¶" &
" Formula →=Andλ(J4#, , FALSE)¶" &
" Result →FALSE; TRUE; TRUE¶" &
" Formula →=Andλ(J4#, J8#, FALSE)¶" &
" Result →FALSE; #N/A; #N/A",
"→", "¶" )
),
// Check inputs - Omitted required arguments
Help?, ISOMITTED( Array1),
// Process
Result, ArrayVersionPrepλ( Array1, Array2, ByCol, AND),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: Avgλ
DESCRIPTION:*//**A dynamic array version of AVERAGE() that processes rows or columns at a time*/
/* REVISIONS: Date Developer Description
Mar 22 2025 Craig Hatmaker Copyright
*/
Avgλ = LAMBDA(
// Parameter Declarations
[Array1],
[Array2],
[ByCol],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →Avgλ( Array1, [Array2], [ByCol])¶" &
"DESCRIPTION: →A dynamic array version of AVERAGE() that processes rows or columns at a time¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Mar 24, 2025¶" &
"PARAMETERS: →¶" &
" Array1 →(Required) An array containing values to compare¶" &
"→ If ByCol = TRUE and we need to compare many separate arrays¶" &
"→ HSTACK them first into this argument. If ByCol = FALSE, VSTACK them.¶" &
" Array2 →(Required) A single character or an array to compare with Array1.¶" &
"→ If ByCol = TRUE and Array2 is an array, Array2 must have the same¶" &
"→ number of columns as Array1. If ByCol = FALSE, Array2 must have the¶" &
"→ same number of rows as Array1¶" &
" ByCol →(Required) TRUE=processes columns. FALSE=Processes rows. ¶" &
"→ If this function is not in the same row as Array1, this defaults to TRUE¶" &
"EXAMPLES: →¶" &
" Setup →J4# contains this array:=SEQUENCE( 3, 5, -7)¶" &
"→J8# contains this array:=SEQUENCE( 1, 5, 2, -1)¶" &
"→J10 contains this value: 1¶" &
" Formula →=Avgλ(J4#)¶" &
" Result →-2, -1, 0, 1, 2¶" &
" Formula →=Avgλ(J4#,J10)¶" &
" Result →-1.25, -0.5, 0.25, 1, 1.75¶" &
" Formula →=Avgλ(J4#, J8#)¶" &
" Result →-1, -0.5, 0, 0.5, 1¶" &
" Formula →=Avgλ(J4#, , FALSE)¶" &
" Result →-5; 0; 5¶" &
" Formula →=Avgλ(J4#, J8#, FALSE)¶" &
" Result →-2.5; #N/A; #N/A",
"→", "¶" )
),
// Check inputs - Omitted required arguments
Help?, ISOMITTED( Array1),
// Process
Result, ArrayVersionPrepλ( Array1, Array2, ByCol, AVERAGE),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: Maxλ
DESCRIPTION:*//**A dynamic array version of MAX() that processes rows or columns at a time*/
/* REVISIONS: Date Developer Description
Mar 22 2025 Craig Hatmaker Copyright
*/
Maxλ = LAMBDA(
// Parameter Declarations
[Array1],
[Array2],
[ByCol],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →Maxλ( Array1, [Array2], [ByCol])¶" &
"DESCRIPTION: →A dynamic array version of MAX() that processes rows or columns at a time¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Mar 24, 2025¶" &
"PARAMETERS: →¶" &
" Array1 →(Required) An array containing values to compare¶" &
"→ If ByCol = TRUE and we need to compare many separate arrays¶" &
"→ HSTACK them first into this argument. If ByCol = FALSE, VSTACK them.¶" &
" Array2 →(Required) A single character or an array to compare with Array1.¶" &
"→ If ByCol = TRUE and Array2 is an array, Array2 must have the same¶" &
"→ number of columns as Array1. If ByCol = FALSE, Array2 must have the¶" &
"→ same number of rows as Array1¶" &
" ByCol →(Required) TRUE=processes columns. FALSE=Processes rows. ¶" &
"→ If this function is not in the same row as Array1, this defaults to TRUE¶" &
"EXAMPLES: →¶" &
" Setup →J4# contains this array:=SEQUENCE( 3, 5, -7)¶" &
"→J8# contains this array:=SEQUENCE( 1, 5, 2, -1)¶" &
"→J10 contains this value: 1¶" &
" Formula →=Maxλ(J4#)¶" &
" Result →3, 4, 5, 6, 7¶" &
" Formula →=Maxλ(J4#,J10)¶" &
" Result →3, 4, 5, 6,7¶" &
" Formula →=Maxλ(J4#, J8#)¶" &
" Result →3, 4, 5, 6, 7¶" &
" Formula →=Maxλ(J4#, , FALSE)¶" &
" Result →-3; 2; 7 ¶" &
" Formula →=Maxλ(J4#, J8#, FALSE)¶" &
" Result →2; #N/A; #N/A",
"→", "¶" )
),
// Check inputs - Omitted required arguments
Help?, ISOMITTED( Array1),
// Process
Result, ArrayVersionPrepλ( Array1, Array2, ByCol, MAX),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: Minλ
DESCRIPTION:*//**A dynamic array version of MIN() that processes rows or columns at a time*/
/* REVISIONS: Date Developer Description
Mar 22 2025 Craig Hatmaker Copyright
*/
Minλ = LAMBDA(
// Parameter Declarations
[Array1],
[Array2],
[ByCol],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →Minλ( Array1, [Array2], [ByCol])¶" &
"DESCRIPTION: →A dynamic array version of MIN() that processes rows or columns at a time¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Mar 24, 2025¶" &
"PARAMETERS: →¶" &
" Array1 →(Required) An array containing values to compare¶" &
"→ If ByCol = TRUE and we need to compare many separate arrays¶" &
"→ HSTACK them first into this argument. If ByCol = FALSE, VSTACK them.¶" &
" Array2 →(Required) A single character or an array to compare with Array1.¶" &
"→ If ByCol = TRUE and Array2 is an array, Array2 must have the same¶" &
"→ number of columns as Array1. If ByCol = FALSE, Array2 must have the¶" &
"→ same number of rows as Array1¶" &
" ByCol →(Required) TRUE=processes columns. FALSE=Processes rows. ¶" &
"→ If this function is not in the same row as Array1, this defaults to TRUE¶" &
"EXAMPLES: →¶" &
" Setup →J4# contains this array:=SEQUENCE( 3, 5, -7)¶" &
"→J8# contains this array:=SEQUENCE( 1, 5, 2, -1)¶" &
"→J10 contains this value: 1¶" &
" Formula →=Minλ(J4#)¶" &
" Result →-7, -6, -5, -4, -3¶" &
" Formula →=Minλ(J4#,J10)¶" &
" Result →-7, -6, -5, -4, -3¶" &
" Formula →=Minλ(J4#, J8#)¶" &
" Result →-7, -6, -5, -4, -3¶" &
" Formula →=Minλ(J4#, , FALSE)¶" &
" Result →-7; 2; 3 ¶" &
" Formula →=Minλ(J4#, J8#, FALSE)¶" &
" Result →-7; #N/A; #N/A",
"→", "¶" )
),
// Check inputs - Omitted required arguments
Help?, ISOMITTED( Array1),
// Process
Result, ArrayVersionPrepλ( Array1, Array2, ByCol, MIN),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: Orλ
DESCRIPTION:*//**A dynamic array version of AND() that processes rows or columns at a time*/
/* REVISIONS: Date Developer Description
Mar 22 2025 Craig Hatmaker Copyright
*/
Orλ = LAMBDA(
// Parameter Declarations
[Array1],
[Array2],
[ByCol],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →Orλ( Array1, [Array2], [ByCol])¶" &
"DESCRIPTION: →A dynamic array version of OR() that processes rows or columns at a time¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Mar 24, 2025¶" &
"PARAMETERS: →¶" &
" Array1 →(Required) An array containing values to compare¶" &
"→ If ByCol = TRUE and we need to compare many separate arrays¶" &
"→ HSTACK them first into this argument. If ByCol = FALSE, VSTACK them.¶" &
" Array2 →(Required) A single character or an array to compare with Array1.¶" &
"→ If ByCol = TRUE and Array2 is an array, Array2 must have the same¶" &
"→ number of columns as Array1. If ByCol = FALSE, Array2 must have the¶" &
"→ same number of rows as Array1¶" &
" ByCol →(Required) TRUE=processes columns. FALSE=Processes rows. ¶" &
"→ If this function is not in the same row as Array1, this defaults to TRUE¶" &
"EXAMPLES: →¶" &
" Setup →J4# contains this array:=SEQUENCE( 3, 5, -7) > 3¶" &
"→J8# contains this array:=SEQUENCE( 1, 5, 2, -1)¶" &
"→J10 contains this value: 1¶" &
" Formula →=Orλ(J4#)¶" &
" Result →FALSE, TRUE, TRUE, TRUE, TRUE¶" &
" Formula →=Orλ(J4#,J10)¶" &
" Result →TRUE, TRUE, TRUE, TRUE, TRUE¶" &
" Formula →=Orλ(J4#, J8#)¶" &
" Result →FALSE, TRUE, TRUE, TRUE, TRUE¶" &
" Formula →=Orλ(J4#, , FALSE)¶" &
" Result →FALSE; FALSE; TRUE¶" &
" Formula →=Orλ(J4#, J8#, FALSE)¶" &
" Result →TRUE; #N/A; #N/A",
"→", "¶" )
),
// Check inputs - Omitted required arguments
Help?, ISOMITTED( Array1),
// Process
Result, ArrayVersionPrepλ( Array1, Array2, ByCol, OR),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: Sumλ
DESCRIPTION:*//**A dynamic array version of SUM() that processes rows or columns at a time*/
/* REVISIONS: Date Developer Description
Mar 22 2025 Craig Hatmaker Copyright
*/
Sumλ = LAMBDA(
// Parameter Declarations
[Array1],
[Array2],
[ByCol],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →Sumλ( Array1, [Array2], [ByCol])¶" &
"DESCRIPTION: →A dynamic array version of SUM() that processes rows or columns at a time¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Mar 24, 2025¶" &
"PARAMETERS: →¶" &
" Array1 →(Required) An array containing values to compare¶" &
"→ If ByCol = TRUE and we need to compare many separate arrays¶" &
"→ HSTACK them first into this argument. If ByCol = FALSE, VSTACK them.¶" &
" Array2 →(Required) A single character or an array to compare with Array1.¶" &
"→ If ByCol = TRUE and Array2 is an array, Array2 must have the same¶" &
"→ number of columns as Array1. If ByCol = FALSE, Array2 must have the¶" &
"→ same number of rows as Array1¶" &
" ByCol →(Required) TRUE=processes columns. FALSE=Processes rows. ¶" &
"→ If this function is not in the same row as Array1, this defaults to TRUE¶" &
"EXAMPLES: →¶" &
" Setup →J4# contains this array:=SEQUENCE( 3, 5, -7)¶" &
"→J8# contains this array:=SEQUENCE( 1, 5, 2, -1)¶" &
"→J10 contains this value: 1¶" &
" Formula →=Sumλ(J4#)¶" &
" Result →-6,-3, 0, 3, 6¶" &
" Formula →=Sumλ(J4#,J10)¶" &
" Result →-5, -2, 1, 4, 7¶" &
" Formula →=Sumλ(J4#, J8#)¶" &
" Result →-4, -2, 0, 2, 4¶" &
" Formula →=Sumλ(J4#, , FALSE)¶" &
" Result →-25; 0; 25 ¶" &
" Formula →=Sumλ(J4#, J8#, FALSE)¶" &
" Result →-25; #N/A; #N/A",
"→", "¶" )
),
// Check inputs - Omitted required arguments
Help?, ISOMITTED( Array1),
// Process
Result, ArrayVersionPrepλ( Array1, Array2, ByCol, SUM),
// Return Result
IF(Help?, Help, Result)
)
);
/* FUNCTION NAME: SumAλ
DESCRIPTION:*//**(Sumλ Alias) A dynamic array version of SUM() that processes rows or columns at a time*/
/* REVISIONS: Date Developer Description
Mar 22 2025 Craig Hatmaker Copyright
*/
SumAλ = LAMBDA(
// Parameter Declarations
[Array1],
[Array2],
[ByCol],
Sumλ( Array1, Array2, ByCol)
);
/* FUNCTION NAME: ArrayVersionPrepλ
DESCRIPTION:*//**Prep Array1 plus nothing, a scalor, or another array before applying a function*/
/* REVISIONS: Date Developer Description
Mar 22 2025 Craig Hatmaker Copyright
*/
ArrayVersionPrepλ = LAMBDA(
// Parameter Declarations
[Array1],
[Array2],
[ByCol],
[Function],
// Help
LET(Help, TRIM(TEXTSPLIT(
"FUNCTION: →ArrayVersionPrepλ( Array1, [Array2], [ByCol])¶" &
"DESCRIPTION: →Prep Array1 plus nothing, a scalor, or another array before applying a function" &
"→ This meant as a support function for Minλ, Maxλ, Sumλ, and Avgλ ¶" &
"WEBPAGE: →<coming soon>¶" &
"VERSION: →BXL: Mar 22, 2025¶" &
"PARAMETERS: →¶" &
" Array1 →(Required) An array of values¶" &
"→ If ByCol = TRUE and we need to compare many separate arrays¶" &
"→ HSTACK them first into this argument. If ByCol = FALSE, VSTACK them.¶" &
" Array2 →(Optional) A single value or a second array to process with Array1.¶" &
"→ If ByCol = TRUE and Array2 is an array, Array2 must have the same¶" &
"→ number of columns as Array1. If ByCol = FALSE, Array2 must have the¶" &
"→ same number of rows as Array1¶" &
" ByCol →(Required) TRUE=processes columns. FALSE=Processes rows. ¶" &
"→ If this function is not in the same row as Array1, this defaults to TRUE¶" &
"EXAMPLES: →¶" &
" Setup →J4# contains this array:=SEQUENCE( 3, 5, -7)¶" &
"→J8# contains this array:=SEQUENCE( 1, 5, 2, -1)¶" &
"→J10 contains this value: 1¶" &
" Formula →=Sumλ(J4#)¶" &
" Result →-6,-3, 0, 3, 6¶" &
" Formula →=Sumλ(J4#,J10)¶" &
" Result →-5, -2, 1, 4, 7¶" &
" Formula →=Sumλ(J4#, J8#)¶" &
" Result →-4, -2, 0, 2, 4¶" &
" Formula →=Sumλ(J4#, , FALSE)¶" &
" Result →-25; 0; 25 ¶" &
" Formula →=Sumλ(J4#, J8#, FALSE)¶" &
" Result →-25; #N/A; #N/A",
"→", "¶" )
),
// Check inputs - Omitted required arguments
Help?, ISOMITTED( Array1),
// Set defaults
// If ByCol omitted, assume TRUE if this function is NOT in the same row as Array1
ByCol, IF( ISOMITTED( ByCol),
IF( ISREF( Array1),
ROW() <> @ROW( Array1), // Only works if Array1 is in a range
TRUE),
ByCol),
Function, IF( ISOMITTED( Function), MAX, Function),
// Conform Array2's dimensions for processing
Rows, IF( ByCol, 1, ROWS( Array1)),
Cols, IF( ByCol, COLUMNS( Array1), 1),
Omitted, ISOMITTED( Array2),
IsSingle, AND( NOT( Omitted), COUNTA( Array2) = 1),
IsArray, NOT( OR( Omitted, IsSingle)),
Array2, IF( IsSingle,
EXPAND( Array2, Rows, Cols, Array2),
Array2),
Array, IF( Omitted,
Array1,
IF( ByCol,
VSTACK( Array1, Array2),
HSTACK( Array1, Array2)
)
),
// Process
Result, IF( ByCol,
BYCOL( Array, Function),
BYROW( Array, Function)
),
// Return Result
IF(Help?, Help, Result)
)
);
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