Outer Join in Google Sheets - arrays

Question

I have 2 sets of data that I want to do an outer join on (basically include all data from both sets, with empty cells where data is in one set but not the other)
I've looked at
Join tables in google sheet - full join
and
Google Sheets outer join on 2 tables that get summarised
but I just can't get mine to work.
I've simplified my data till I can get this working, but basically both datasets have year and month (which I combine to make an ID, year and month only appears once in each dataset.
My output should look like the Dataset highlighted in green (I typed out manually)
But all I get from my formula is either an Error (Like in the 1st screenshot)
Or a load of #VALUE!
This is a link to my sample sheet.
https://docs.google.com/spreadsheets/d/1Iyhi7WKAA6g0hWpgl33fOe8q78MtzsATq4khnqcAT-w/edit?usp=sharing
It's driving me insane, as I don't fully understand how the array formula is working

Answer 1

Try this:
=arrayformula(
unique(
{
B2:E5,
iferror(
vlookup(
A2:A5,
G2:K5,
column(J2:K5) - column(G2) + 1,
false
)
);
H3:I5,
iferror(
vlookup(
G3:G5,
A3:E5,
column(D3:E5) - column(A3) + 1,
false
)
),
J3:K5
}
)
)
If you need more functionality, the Formulas by Top Contributors add-on includes SQL join functions.

Answer 2

The Google QUERY() function is very powerful and modeled after SQL but it is not a full implementation. So, I decided to write a custom function to simulate SQL JOINs, Inner, Left, Right and Full.
const ss = SpreadsheetApp.getActiveSpreadsheet();
/**
* Combines two ranges with a common key and can be used standalone or with the QUERY() function to simulate joins.
*
*
* #constructor
* #param {(string|array)} range1 - the main table as a named range, a1Notation or an array
* #param {(string|array)} range2 - the related table as a named range, a1Notation or an array
* #param {number} primaryKey - the unique identifier for the main table, columns start with "1"
* #param {number} foreignKey - the key in the related table to join to the main table, columns start with "1"
* #param {string} joinType, type of join - "Inner", "Left", "Right", "Full", optional and defaults to "Inner", case insensitive
* #returns {array} array results as a two dimensional array
* #customfunction
*
* Result Set Example:
*
* =QUERY(denormalize("Employees","Orders",1,3), "SELECT * WHERE Col2 = 'Davolio' AND Col8=2", FALSE)
*
* |EmpID|LastName|FirstName|OrderID|CustomerID|EmpID|OrderDate|ShipperID|
* |:----|:-------|:--------|:------|:---------|:----|:--------|:--------|
* |1 |Davolio |Nancy |10285 |63 |1 |8/20/1996|2 |
* |1 |Davolio |Nancy |10292 |81 |1 |8/28/1996|2 |
* |1 |Davolio |Nancy |10304 |80 |1 |9/12/1996|2 |
* etc.
*
* Other Examples:
* =denormalize("Employees","Orders",1,3)
* =denormalize("Employees","Orders",1,3,"full")
* =QUERY(denormalize("Employees","Orders",1,3,"left"), "SELECT * ", FALSE)
* =QUERY(denormalize("Employees","Orders",1,3), "SELECT * WHERE Col2 = 'Davolio'", FALSE)
* =QUERY(denormalize("Employees","Orders",1,3), "SELECT * WHERE Col2 = 'Davolio' AND Col8=2", FALSE)
* =denormalize("Orders","OrderDetails",1,2)
* // multiple joins
* =denormalize("Employees",denormalize("Orders","OrderDetails",1,2),1,3)
* =QUERY(denormalize("Employees",denormalize("Orders","OrderDetails",1,2),1,3), "SELECT *", FALSE)
* =denormalize(denormalize("Employees","Orders",1,3),"OrderDetails",1,2)
* =QUERY(denormalize("Employees",denormalize("Orders","OrderDetails",1,2),1,3), "SELECT *", FALSE)
* =QUERY(denormalize(denormalize("Employees","Orders",1,3),"OrderDetails",4,2), "SELECT *", FALSE)
*
* Joins Types:
* (INNER) JOIN: Returns records that have matching values in both tables
* LEFT (OUTER) JOIN: Returns all records from the left table, and the matched records from the right table
* RIGHT (OUTER) JOIN: Returns all records from the right table, and the matched records from the left table
* FULL (OUTER) JOIN: Returns all records when there is a match in either left or right table
*
* Note: the most common join is INNER which is why that is the default join type
*
* General:
* This alogithm is more efficient than using nested loops and uses a form of a hash table instead.
* A hash table is a structure that can map index keys to values and typically resembles something like this:
* [index][values]
*
* Since javascript provides a native function to return the index, there is no need to store it so,
* this hash table only stores the values.
*
* There is minimal testing in DENORMALIZE() to validate parameters.
*
* Author/Coder/Tester: John Agusta, 03/28/2021, Raleigh, NC USA
*
* License: Follows the GNU General Public License (GNU GPL or simply GPL), a series of widely-used free
* software licenses that guarantee end users the freedom to run, study, share, and modify the software.
*
* http://www.gnu.org/licenses/gpl.html
*
*
* Note: DENORMALIZE() can simulate multiple joins by nesting DENORMALIZE() functions as needed.
*
* Recursion is theoretically possible to unlimited depth, although only a few levels are normally used in practical programs
* as performance will degrade accordingly.
*
* DENORMALIZE(range1, range2, primaryKey, foreignKey, joinType)
*
*/
function DENORMALIZE(range1, range2, primaryKey, foreignKey, joinType) {
var i = 0;
var j = 0;
var index = -1;
var lFound = false;
var aDenorm = [];
var hashtable = [];
var aRange1 = "";
var aRange2 = "";
joinType = DefaultTo(joinType, "INNER").toUpperCase();
// the 6 lines below are used for debugging
//range1 = "Employees";
//range1 = "Employees!A2:C12";
//range2 = "Orders";
//primaryKey = 1;
//foreignKey = 3;
//joinType = "LEFT";
// Sheets starts numbering columns starting with "1", arrays are zero-based
primaryKey -= 1;
foreignKey -= 1;
// check if range is not an array
if (typeof range1 !== 'object') {
// Determine if range is a1Notation and load data into an array
if (range1.indexOf(":") !== -1) {
aRange1 = ss.getRange(range1).getValues();
} else {
aRange1 = ss.getRangeByName(range1).getValues();
}
} else {
aRange1 = range1;
}
if (typeof range2 !== 'object') {
if (range2.indexOf(":") !== -1) {
aRange2 = ss.getRange(range2).getValues();
} else {
aRange2 = ss.getRangeByName(range2).getValues();
}
} else {
aRange2 = range2;
}
// make similar structured temp arrays with NULL elements
var tArray1 = MakeArray(aRange1[0].length);
var tArray2 = MakeArray(aRange2[0].length);
var lenRange1 = aRange1.length;
var lenRange2 = aRange2.length;
hashtable = getHT(aRange1, lenRange1, primaryKey);
for(i = 0; i < lenRange2; i++) {
index = hashtable.indexOf(aRange2[i][foreignKey]);
if (index !== -1) {
aDenorm.push(aRange1[index].concat(aRange2[i]));
}
}
// add left and full no matches
if (joinType == "LEFT" || joinType == "FULL") {
for(i = 0; i < lenRange1; i++) {
index = aDenorm.indexOf(aRange1[i][primaryKey]);
//index = aScan(aDenorm, aRange1[i][primaryKey], primaryKey)
if (index == -1) {
aDenorm.push(aRange1[i].concat(tArray2));
}
}
}
// add right and full no matches
if (joinType == "RIGHT" || joinType == "FULL") {
for(i = 0; i < lenRange2; i++) {
index = ASCAN(aDenorm, aRange2[i][foreignKey], primaryKey)
if (index == -1) {
aDenorm.push(tArray1.concat(aRange2[i]));
}
}
}
return aDenorm;
}
function getHT(aRange, lenRange, key){
var aHashtable = [];
var i = 0;
for (i=0; i < lenRange; i++ ) {
//aHashtable.push([aRange[i][key], i]);
aHashtable.push(aRange[i][key]);
}
return aHashtable;
}
function MakeArray(length) {
var i = 0;
var retArray = [];
for (i=0; i < length; i++) {
retArray.push("");
}
return retArray;
}
function DefaultTo(valueToCheck, valueToDefault) {
return typeof valueToCheck === "undefined" ? valueToDefault : valueToCheck;
}
/**
*
* Search a multi-dimensional array for a value and return either the index or value if found, -1 or an empty sting otherwise
* #constructor
* #param {array} aValues - the array to scan
* #param {string} searchVal - the value to look for
* #param {number} searchCol - the array column to search
* #param {number} returnCol - optional, the array column to return if specified, otherwise array index is returned
* #returns {(number|value)} array index of value found or array value specified by returnCol
* #customfunction
*/
function ASCAN(aValues, searchVal, searchCol, returnCol) {
var retval = typeof returnCol === "undefined" ? -1 : "";
var i = 0;
var aLen = aValues.length;
for (i = 0; i < aLen; i++) {
if (aValues[i][searchCol] == searchVal) {
retval = typeof returnCol === "undefined" ? i : aValues[i][returnCol];
break;
}
}
return retval;
}
I have a sheet with examples here:
https://script.google.com/home/projects/1aQDY3Y0rOj0VrViLffYfARP9rp2j9jQ0XpUcFvye8XnxvkHy3Qr6_d0_/edit