Union of Multiple Ranges

Union of multiple ranges

Let's say, (7, 10) and (11, 13) result into (7, 13):

a = [(7, 10), (11, 13), (11, 15), (14, 20), (23, 39)]
b = []
for begin,end in sorted(a):
if b and b[-1][1] >= begin - 1:
b[-1] = (b[-1][0], end)
else:
b.append((begin, end))

b is now

[(7, 20), (23, 39)]

EDIT:

As @CentAu correctly notices, [(2,4), (1,6)] would return (1,4) instead of (1,6). Here is the new version with correct handling of this case:

a = [(7, 10), (11, 13), (11, 15), (14, 20), (23, 39)]
b = []
for begin,end in sorted(a):
if b and b[-1][1] >= begin - 1:
b[-1][1] = max(b[-1][1], end)
else:
b.append([begin, end])

Get Outer Bounding Range of Union with Multiple Areas

This function uses the Application.Range property (Excel) to create the Range Around the Union Range.

Function UnionRange_ƒRangeAround_Set(rUnion As Range) As Range
Dim rOutput As Range, b As Byte

With rUnion
Set rOutput = .Areas(1)
For b = 2 To .Areas.Count
Set rOutput = Range(rOutput, .Areas(b))
Next
End With

Set UnionRange_ƒRangeAround_Set = rOutput

End Function

How to union ranges in google spreadsheets

Google Apps Script

And yet the question was about the script. I'm still successfully using the following code:

function unionRanges(e) {
var result = [];
var length = 0;
var i = 0;
try {
for (i = 0; i < arguments.length; i++)
length += arguments[i].length;
if (length > 3000) return '#BIGRANGE';
for (var i = 0; i < arguments.length; i++)
result = result.concat(arguments[i].filter(function (el) {
return el.join('').length > 0
}));
return result;
} catch (err) {
return JSON.stringify(err);
}
}

Spreadsheets feature

But, as noted above, it is easier to use {}-notation.

={ Sheet1!A1:C10 ; Sheet2!A1:C34 }

Vertical concatenation

={ Range(Cols=N) ; Range(Cols=N) }

Horizontal concatenation

={ Range(Rows=M) , Range(Rows=M) }

It's possible to combine

={ { , , } ; { , , } }

Or something more hard

={{{;;},{;;}};{{;;},{;;}};{{;;},{;;}}}

Try something like this

={
{{ 1; 2; 3},{ 4; 5; 6}};
{{ 7; 8; 9},{10;11;12}};
{{13;14;15},{16;17;18}}
}

The internal horizontal concatenation is not required

={
{ 1; 2; 3},{ 4; 5; 6};
{ 7; 8; 9},{10;11;12};
{13;14;15},{16;17;18}
}

Locale dependencies of argument delimiters

If your current locale supports , as an argument delimiter thnen you should use ; for a vertical concatenation and , for a horizontal concatenation.

Otherwise your argument delimiter is ; and you have to use ; and \ (without spaces), respectively.

Sheet 'Data 1'!A1:C20

|   Name  |    Date   | Sum |
| Ethan | 3/4/2017 | 31 |
| Logan | 3/6/2017 | 62 |
| Brian | 3/26/2017 | 61 |
| ... | ... | ... |

Sheet 'Data 2'!A1:C20

|  Name   |    Date   | Sum |
| Nathan | 3/30/2017 | 53 |
| Alyssa | 3/13/2017 | 72 |
| John | 3/24/2017 | 79 |
| Megan | 3/16/2017 | 10 |
| ... | ... | ... |

Concatenation

Vertical concatenation

={'Data 1'!A1:C20;'Data 2'!A2:C20}

Result

|  Name  |    Date   | Sum |
| Ethan | 3/4/2017 | 31 |
| Logan | 3/6/2017 | 62 |
| Brian | 3/26/2017 | 61 |
| ... | ... | ... |
| Nathan | 3/30/2017 | 53 |
| Alyssa | 3/13/2017 | 72 |
| John | 3/24/2017 | 79 |
| ... | ... | ... |

Horizontal concatenation

={TRANSPOSE('Data 1'!A1:C20),TRANSPOSE('Data 2'!A2:C20)}

Result

| Name |   Ethan  |   Logan  |   Brian   | ... |   Nathan  |   Alyssa  |    John   |
| Date | 3/4/2017 | 3/6/2017 | 3/26/2017 | ... | 3/30/2017 | 3/13/2017 | 3/24/2017 |
| Sum | 31 | 62 | 61 | ... | 53 | 72 | 79 |

More about this How to concatenate ranges in Google spreadsheets

How to combine two non-adjacent ranges using Union?

Succeeded by defining the range as a collection and by using a function that transforms the collection to an array. See code below:

Sub combineRange()

Dim CombinedRange As Collection
Set CombinedRange = New Collection

CombinedRange.Add ActiveSheet.Range("A1:E1")
CombinedRange.Add ActiveSheet.Range("A3:E3")

'transfer cominedRange to array using function CollectionToArray
varTable = CollectionToArray(CombinedRange)

End Sub

Function CollectionToArray(col As Collection) As Variant()
Dim arr() As Variant, index As Long, it As Variant
ReDim arr(col.Count - 1) As Variant
For Each it In col
arr(index) = it
index = index + 1
Next it
CollectionToArray = arr
End Function


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