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In C++ I would use boost::clamp for this. Basically I have some excel function
A1*B2+C3+D4
I want to do constrain it to +/- some number, call it X1. The obvious way is this:
MAX(-X1, MIN(X1, A1*B2+C3+D4))
But I want to be able to do this:
CLAMP(A1*B2+C3+D4, -X1, X1)
Does this or something similar exist? I'm just curious - obviously the workaround works, it's just ugly.
This can be done using MEDIAN. MEDIAN picks the middle of the three values, thus effectively restricting the lower and upper limits.
For example say your minimum is 5 and your maximum is 10:
=MEDIAN(5,0,10) is 5
=MEDIAN(5,7,10) is 7
=MEDIAN(5,12,10) is 10
With spreadsheet formulas I don't think that you can do much better than that min/max construct. You could write clamp in VBA:
Function clamp(x As Double, lower As Double, upper As Double) As Double
If x < lower Then
clamp = lower
ElseIf x > upper Then
clamp = upper
Else
clamp = x
End If
End Function
If you enter that in a standard code module then you could e.g. do something like this:
In column A I have values in the range 0 to 2*pi. In C2 I have the value 0.5. In B1 I entered
=clamp(SIN(A1),-$C$2,$C$2)
and copied down. The graph shows the result.
(Since I gave a VBA solution I'll add the Excel-VBA tag. Even if you prefer a non-VBA solution, it is possible that others in the future might search the question and be comfortable with a VBA solution).
I want you to have some fun. I need something specific.
First i must explain what i do. I use a simple codification for product prices at retail store, because i dont want people know the real price for themselves. So i change the original numbers to another subtracting the number 9 for each number.
Normally I manually write down all the prices with this codification for every product.
So.. for example number 10 would be 89. (9-1 = 8) and (9-0 = 9)
Other examples:
$128 = 871
$75 = 24
$236 = 763
$9 = 0
Finally i put 2 number nines (9) at the beginning of the codified price also, to confuse people who might think that number could be the price.
So the examples i used before are like this:
99871 (means $128)
9924 (means $75)
99763 (means $236)
990 (means $9)
Remember that i need 2 (two) nines before the real price. The real prices never start with 0 so, the nines at the beginning exist only to confuse people.
Ok. So, now that you understand, here comes the 2nd part.
I have an excel whith hundreds of my products added, with prices, description, etc. And i decided it is time to use a printer and start to print this information from excel. I have a software to do that, but first i need to have the codified prices in the excel also.
The fun part begins when i want to convert the real prices that are already written in my excel document into a new column AUTOMATICALLY. So that way i don´t have to type again all the prices in codified form for the old and new items i add in the future.
Can someone help me with this? Is it even possible?
I tried with =A1-9999 but, it works well with 2 character number only. Because if the real price is 5, i will get 3 nines: 9994(code). And if the price is 234 i will get only 1 nine 9765(code). And it is a condition i need to have the TWO nines at first.
Thank you very much in advanced!
Though you have requested for formula , I am suggesting VBA program which seems to me very convenient.
You have to open VBE and insert a module and copy the program. Change the code lines wherever indicated to suit your requirements for sheets etc.
Sub NumberCode()
Dim c As Range
Dim LR As Integer
Dim numProbs As Long
Dim sht As Worksheet
Dim s As Integer
Dim v As Long
Dim v1 As Long
Set sht = Worksheets("Sheet1") ' change as per yr requirement
numProbs = 0
LR = sht.Cells(Rows.Count, "A").End(xlUp).Row
For Each c In sht.Range("A1:A" & LR).Cells
s = Len(c)
v = c.Value
v1 = 99
For s = 1 To Len(c)
v1 = v1 & (9 - Mid(c, s, 1))
Next
c.Offset(0, 1).Value = v1
v1 = 99
numProbs = numProbs + 1
Next
MsgBox "Number coding finished"
End Sub
Sample sheet of results is appended below.
I will be using helper cells but you could dump it all into one cell if you want since you are only dealing with 4 characters.
For the purpose of this example, I am assuming your original price list starts in B11.
=IFERROR(9-MID($B11,COLUMN(A1),1),"")
Place that in D11 and copy to the right three more times so you have it from D11 to G11. That formula strips off 1 character from your price and subtracts that character from 9. When you go the next column it repeats itself. If you do not have that many characters, it will return "".
In C11 you will build your number based on the adjacent 4 columns using this formula:
="99"&D11&E11&F11&G11
It places 99 in front then adds the numbers from the adjacent 4 columns.
Select cells C11 to G11 and copy and paste downward beside your data column as far as you need to go.
An alternate more concise method would be:
=REPT(9,LEN(B11)+2)-B11
Perhaps I'm missing something, though simply:
=REPT(9,2+LEN(A1))-A1
seems good to me.
Regards
I am using excel and i want to display a value to a certain number of significant figures.
I tried using the following equation
=ROUND(value,sigfigs-1-INT(LOG10(ABS(value))))
with value replaced by the number I am using and sigfigs replaced with the number of significant figures I want.
This formula works sometimes, but other times it doesn't.
For instance, the value 18.036, will change to 18, which has 2 significant figures. The way around this is to change the source formatting to retain 1 decimal place. But that can introduce an extra significant figure. For instance, if the result was 182 and then the decimal place made it change to 182.0, now I would have 4 sig figs instead of 3.
How do I get excel to set the number of sig figs for me so I don't have to figure it out manually?
The formula (A2 contains the value and B2 sigfigs)
=ROUND(A2/10^(INT(LOG10(A2))+1),B2)*10^(INT(LOG10(A2))+1)
may give you the number you want, say, in C2. But if the last digit is zero, then it will not be shown with a General format. You have then to apply a number format specific for that combination (value,sigfigs), and that is via VBA. The following should work. You have to pass three parameters (val,sigd,trg), trg is the target cell to format, where you already have the number you want.
Sub fmt(val As Range, sigd As Range, trg As Range)
Dim fmtstr As String, fmtstrfrac As String
Dim nint As Integer, nfrac As Integer
nint = Int(Log(val) / Log(10)) + 1
nfrac = sigd - nint
If (sigd - nint) > 0 Then
'fmtstrfrac = "." & WorksheetFunction.Rept("0", nfrac)
fmtstrfrac = "." & String(nfrac, "0")
Else
fmtstrfrac = ""
End If
'fmtstr = WorksheetFunction.Rept("0", nint) & fmtstrfrac
fmtstr = String(nint, "0") & fmtstrfrac
trg.NumberFormat = fmtstr
End Sub
If you don't mind having a string instead of a number, then you can get the format string (in, say, D2) as
=REPT("0",INT(LOG10(A2))+1)&IF(B2-(INT(LOG10(A2))+1)>0,"."&REPT("0",B2-(INT(LOG10(A2))+1)),"")
(this replicates the VBA code) and then use (in, say, E2)
=TEXT(C2,D2).
where cell C2 still has the formula above. You may use cell E2 for visualization purposes, and the number obtained in C2 for other math, if needed.
WARNING: crazy-long excel formula ahead
I was also looking to work with significant figures and I was unable to use VBA as the spreadsheets can't support them. I went to this question/answer and many other sites but all the answers don't seem to deal with all numbers all the time. I was interested in the accepted answer and it got close but as soon as my numbers were < 0.1 I got a #value! error. I'm sure I could have fixed it but I was already down a path and just pressed on.
Problem:
I needed to report a variable number of significant figures in positive and negative mode with numbers from 10^-5 to 10^5. Also, according to the client (and to purple math), if a value of 100 was supplied and was accurate to +/- 1 and we wish to present with 3 sig figs the answer should be '100.' so I included that as well.
Solution:
My solution is for an excel formula that returns the text value with required significant figures for positive and negative numbers.
It's long, but appears to generate the correct results according to my testing (outlined below) regardless of number and significant figures requested. I'm sure it can be simplified but that isn't currently in scope. If anyone wants to suggest a simplification, please leave me a comment!
=TEXT(IF(A1<0,"-","")&LEFT(TEXT(ABS(A1),"0."&REPT("0",sigfigs-1)&"E+00"),sigfigs+1)*10^FLOOR(LOG10(TEXT(ABS(A1),"0."&REPT("0",sigfigs-1)&"E+00")),1),(""&(IF(OR(AND(FLOOR(LOG10(TEXT(ABS(A1),"0."&REPT("0",sigfigs-1)&"E+00")),1)+1=sigfigs,RIGHT(LEFT(TEXT(ABS(A1),"0."&REPT("0",sigfigs-1)&"E+00"),sigfigs+1)*10^FLOOR(LOG10(TEXT(ABS(A1),"0."&REPT("0",sigfigs-1)&"E+00")),1),1)="0"),LOG10(TEXT(ABS(A1),"0."&REPT("0",sigfigs-1)&"E+00"))<=sigfigs-1),"0.","#")&REPT("0",IF(sigfigs-1-(FLOOR(LOG10(TEXT(ABS(A1),"0."&REPT("0",sigfigs-1)&"E+00")),1))>0,sigfigs-1-(FLOOR(LOG10(TEXT(ABS(A1),"0."&REPT("0",sigfigs-1)&"E+00")),1)),0)))))
Note: I have a named range called "sigfigs" and my numbers start in cell A1
Test Results:
I've tested it against the wikipedia list of examples and my own examples so far in positive and negative. I've also tested with a few values that gave me issues early on and all seem to produce the correct results.
I've also tested with a few values that gave me issues early on and all seem to produce the correct results now.
3 Sig Figs Test
99.99 -> 100.
99.9 -> 99.9
100 -> 100.
101 -> 101
Notes:
Treating Negative Numbers
To Treat Negative Numbers, I have included a concatenation with a negative sign if less than 0 and use the absolute value for all other work.
Method of construction:
It was initially divided into about 6 columns in excel that performed the various steps and at the end I merged all of the steps into one formula above.
Use scientific notation, say if you have 180000 and you need 4 sigfigs the only way is to type as 1.800x10^5
I added to your formula so it also automatically displays the correct number of decimal places. In the formula below, replace the digit "2" with the number of decimal places that you want, which means you would need to make four replacements. Here is the updated formula:
=TEXT(ROUND(A1,2-1-INT(LOG10(ABS(A1)))),"0"&IF(INT(LOG10(ABS(ROUND(A1,2-1-INT(LOG10(ABS(A1)))))))<1,"."&REPT("0",2-1-INT(LOG10(ABS(ROUND(A1,2-1-INT(LOG10(ABS(A1)))))))),""))
For example, if cell A1 had the value =1/3000, which is 0.000333333.., the above formula as-written outputs 0.00033.
This is an old question, but I've modified sancho.s' VBA code so that it's a function that takes two arguments: 1) the number you want to display with appropriate sig figs (val), and 2) the number of sig figs (sigd). You can save this as an add-in function in excel for use as a normal function:
Public Function sigFig(val As Range, sigd As Range)
Dim nint As Integer
Dim nfrac As Integer
Dim raisedPower As Double
Dim roundVal As Double
Dim fmtstr As String
Dim fmtstrfrac As String
nint = Int(Log(val) / Log(10)) + 1
nfrac = sigd - nint
raisedPower = 10 ^ (nint)
roundVal = Round(val / raisedPower, sigd) * raisedPower
If (sigd - nint) > 0 Then
fmtstrfrac = "." & String(nfrac, "0")
Else
fmtstrfrac = ""
End If
If nint <= 0 Then
fmtstr = String(1, "0") & fmtstrfrac
Else
fmtstr = String(nint, "0") & fmtstrfrac
End If
sigFig = Format(roundVal, fmtstr)
End Function
It seems to work in all the use cases I've tried so far.
Rounding to significant digits is one thing... addressed above. Formatting to a specific number of digits is another... and I'll post it here for those of you trying to do what I was and ended up here (as I will likely do again in the future)...
Example to display four digits:
.
Use Home > Styles > Conditional Formatting
New Rule > Format only cells that contain
Cell Value > between > -10 > 10 > Format Number 3 decimal places
New Rule > Format only cells that contain
Cell Value > between > -100 > 100 > Format Number 2 decimal places
New Rule > Format only cells that contain
Cell Value > between > -1000 > 1000 > Format Number 1 decimal place
New Rule > Format only cells that contain
Cell Value > not between > -1000 > 1000 > Format Number 0 decimal places
.
Be sure these are in this order and check all of the "Stop If True" boxes.
The formula below works fine. The number of significant figures is set in the first text formula. 0.00 and 4 for 3sf, 0.0 and 3 for 2sf, 0.0000 and 6 for 5sf, etc.
=(LEFT((TEXT(A1,"0.00E+000")),4))*POWER(10,
(RIGHT((TEXT(A1,"0.00E+000")),4)))
The formula is valid for E+/-999, if you have a number beyond this increase the number of the last three zeros, and change the second 4 to the number of zeros +1.
Note that the values displayed are rounded to the significant figures, and should by used for display/output only. If you are doing further calcs, use the original value in A1 to avoid propagating minor errors.
As a very simple display measure, without having to use the rounding function, you can simply change the format of the number and remove 3 significant figures by adding a decimal point after the number.
I.e. #,###. would show the numbers in thousands. #,###.. shows the numbers in millions.
Hope this helps
You could try custom formatting instead.
Here's a crash course: https://support.office.com/en-nz/article/Create-a-custom-number-format-78f2a361-936b-4c03-8772-09fab54be7f4?ui=en-US&rs=en-NZ&ad=NZ.
For three significant figures, I type this in the custom type box:
[>100]##.0;[<=100]#,##0
You could try
=ROUND(value,sigfigs-(1+INT(LOG10(ABS(value)))))
value :: The number you wish to round.
sigfigs :: The number of significant figures you want to round to.
Since I solved previous problem with collecting data from database, I need to put that data on a chart now. I am working on a report generating software called ReportWorx.
Problem is, data comes in series and looks like this:
ID DATE SAMPLE
1 XX-XX-XX VALUE
1 XX-XX-XX VALUE
1 XX-XX-XX VALUE
2 XX-XX-XX VALUE
2 XX-XX-XX VALUE
3 XX-XX-XX VALUE
3 XX-XX-XX VALUE
I can not change how it looks because it is generated automatically. What I want is linear chart in which 1, 2, 3 are series name and of course next to it DATE and VALUE are put on a linear chart (or bargraph, w/e) (Date at X axis, Value at Y axis).
I can`t specify how many records will be there (how many rows) but I found few solutions about creating dynamically increasing charts, so probably it will not be a poblem. I just do not know how to separate thos ID series from each other.
EDIT:
I have found a solution in VBA according to the first answer. Here you have VBA code below:
Sub Rewrite()
Dim row, id
For row = 38 To 1000
For id = 1 To 37
If Sheet1.Cells(row, 1).Value = id Then
Sheet2.Cells(row, 1).Value = Sheet1.Cells(row, 2)
Sheet2.Cells(row, id + 1).Value = Sheet1.Cells(row, 3)
End If
Next id
Next row
End Sub
Thank You #sancho.s
I will post a solution that I use a lot for cases like yours.
With reference to the figure (where I used sample numbers), you set up 3 new columns (D:F here), the header of which contain the corresponding labels. Then you use a formula for "splitting" the list of X data (column B here) associated with each label, and assigning a "NULL" value for data not corresponding (#N/A here, but you can choose whatever you want):
=IF($A3=D$2,$B3,$B$1)
You enter this in D3. The absolute/relative indexing used allows for copy-and-paste throughout D3:F9.
Cell B1 here contains the "NULL" value.
Then you plot 3 series: column C against columns D, E, F.
PS: I guess you could split the Y data column instead, with similar results. For some reason that I do not recall, I decided a long time ago that this was the best option, at least in my case then. You may want to try out the other option.
PS2: This also works for data that is not sorted by label.
PS3: Using NA() as the "NULL" value avoids cell values being taken as zero and then showing up in the chart, as it is the case with other errors (e.g., try using =1/0 in B1). It is the best option I found so far. Alternatively (just in case you find it useful), you can use an explicit value which is outside the actual X data range, but then you would have to manually set the X axis range. All this is for a Scatter plot, just check what works for your case.
I have an interesting challenge - I need to run a check on the following data in Excel:
| A - B - C - D |
|------|------|------|------|
| 36 | 0 | 0 | x |
| 0 | 600 | 700 | x |
|___________________________|
You'll have to excuse my wonderfully bad ASCII art. So I need the D column (x) to run a check against the adjacent cells, then convert the values if necessary. Here's the criteria:
If column B is greater than 0, everything works great and I can get coffee. If it doesn't meet that requirement, then I need to convert A1 according to a table - for example, 32 = 1420 and place into D. Unfortunately, there is no relationship between A and what it needs to convert to, so creating a calculation is out of the question.
A case or switch statement would be perfect in this scenario, but I don't think it is a native function in Excel. I also think it would be kind of crazy to chain a bunch of =IF() statements together, which I did about four times before deciding it was a bad idea (story of my life).
Sounds like a job for VLOOKUP!
You can put your 32 -> 1420 type mappings in a couple of columns somewhere, then use the VLOOKUP function to perform the lookup.
Without reference to the original problem (which I suspect is long since solved), I very recently discovered a neat trick that makes the Choose function work exactly like a select case statement without any need to modify data. There's only one catch: only one of your choose conditions can be true at any one time.
The syntax is as follows:
CHOOSE(
(1 * (CONDITION_1)) + (2 * (CONDITION_2)) + ... + (N * (CONDITION_N)),
RESULT_1, RESULT_2, ... , RESULT_N
)
On the assumption that only one of the conditions 1 to N will be true, everything else is 0, meaning the numeric value will correspond to the appropriate result.
If you are not 100% certain that all conditions are mutually exclusive, you might prefer something like:
CHOOSE(
(1 * TEST1) + (2 * TEST2) + (4 * TEST3) + (8 * TEST4) ... (2^N * TESTN)
OUT1, OUT2, , OUT3, , , , OUT4 , , <LOTS OF COMMAS> , OUT5
)
That said, if Excel has an upper limit on the number of arguments a function can take, you'd hit it pretty quickly.
Honestly, can't believe it's taken me years to work it out, but I haven't seen it before, so figured I'd leave it here to help others.
EDIT: Per comment below from #aTrusty:
Silly numbers of commas can be eliminated (and as a result, the choose statement would work for up to 254 cases) by using a formula of the following form:
CHOOSE(
1 + LOG(1 + (2*TEST1) + (4*TEST2) + (8*TEST3) + (16*TEST4),2),
OTHERWISE, RESULT1, RESULT2, RESULT3, RESULT4
)
Note the second argument to the LOG clause, which puts it in base 2 and makes the whole thing work.
Edit: Per David's answer, there's now an actual switch statement if you're lucky enough to be working on office 2016. Aside from difficulty in reading, this also means you get the efficiency of switch, not just the behaviour!
The Switch function is now available, in Excel 2016 / Office 365
SWITCH(expression, value1, result1, [default or value2, result2],…[default or value3, result3])
example:
=SWITCH(A1,0,"FALSE",-1,"TRUE","Maybe")
Microsoft -Office Support
Note: MS has updated that page to only document the behavior of Excel 2019. Eventually, they will probably remove references to 2019 as well... To see what the page looked like in 2016, use the wayback machine:
https://web.archive.org/web/20161010180642/https://support.office.com/en-us/article/SWITCH-function-47ab33c0-28ce-4530-8a45-d532ec4aa25e
Try this;
=IF(B1>=0, B1, OFFSET($X$1, MATCH(B1, $X:$X, Z) - 1, Y)
WHERE
X = The columns you are indexing into
Y = The number of columns to the left (-Y) or right (Y) of the indexed column to get the value you are looking for
Z = 0 if exact-match (if you want to handle errors)
I used this solution to convert single letter color codes into their descriptions:
=CHOOSE(FIND(H5,"GYR"),"Good","OK","Bad")
You basically look up the element you're trying to decode in the array, then use CHOOSE() to pick the associated item. It's a little more compact than building a table for VLOOKUP().
I know it a little late to answer but I think this short video will help you a lot.
http://www.xlninja.com/2012/07/25/excel-choose-function-explained/
Essentially it is using the choose function. He explains it very well in the video so I'll let do it instead of typing 20 pages.
Another video of his explains how to use data validation to populate a drop down which you can select from a limited range.
http://www.xlninja.com/2012/08/13/excel-data-validation-using-dependent-lists/
You could combine the two and use the value in the drop down as your index to the choose function. While he did not show how to combine them, I'm sure you could figure it out as his videos are good. If you have trouble, let me know and I'll update my answer to show you.
I understand that this is a response to an old post-
I like the If() function combined with Index()/Match():
=IF(B2>0,"x",INDEX($H$2:$I$9,MATCH(A2,$H$2:$H$9,0),2))
The if function compare what is in column b and if it is greater than 0, it returns x, if not it uses the array (table of information) identified by the Index() function and selected by Match() to return the value that a corresponds to.
The Index array has the absolute location set $H$2:$I$9 (the dollar signs) so that the place it points to will not change as the formula is copied. The row with the value that you want returned is identified by the Match() function. Match() has the added value of not needing a sorted list to look through that Vlookup() requires. Match() can find the value with a value: 1 less than, 0 exact, -1 greater than. I put a zero in after the absolute Match() array $H$2:$H$9 to find the exact match. For the column that value of the Index() array that one would like returned is entered. I entered a 2 because in my array the return value was in the second column. Below my index array looked like this:
32 1420
36 1650
40 1790
44 1860
55 2010
The value in your 'a' column to search for in the list is in the first column in my example and the corresponding value that is to be return is to the right. The look up/reference table can be on any tab in the work book - or even in another file. -Book2 is the file name, and Sheet2 is the 'other tab' name.
=IF(B2>0,"x",INDEX([Book2]Sheet2!$A$1:$B$8,MATCH(A2,[Book2]Sheet2!$A$1:$A$8,0),2))
If you do not want x return when the value of b is greater than zero delete the x for a 'blank'/null equivalent or maybe put a 0 - not sure what you would want there.
Below is beginning of the function with the x deleted.
=IF(B2>0,"",INDEX...
If you don't have a SWITCH statement in your Excel version (pre-Excel-2016), here's a VBA implementation for it:
Public Function SWITCH(ParamArray args() As Variant) As Variant
Dim i As Integer
Dim val As Variant
Dim tmp As Variant
If ((UBound(args) - LBound(args)) = 0) Or (((UBound(args) - LBound(args)) Mod 2 = 0)) Then
Error 450 'Invalid arguments
Else
val = args(LBound(args))
i = LBound(args) + 1
tmp = args(UBound(args))
While (i < UBound(args))
If val = args(i) Then
tmp = args(i + 1)
End If
i = i + 2
Wend
End If
SWITCH = tmp
End Function
It works exactly like expected, a drop-in replacement for example for Google Spreadsheet's SWITCH function.
Syntax:
=SWITCH(selector; [keyN; valueN;] ... defaultvalue)
where
selector is any expression that is compared to keys
key1, key2, ... are expressions that are compared to the selector
value1, value2, ... are values that are selected if the selector equals to the corresponding key (only)
defaultvalue is used if no key matches the selector
Examples:
=SWITCH("a";"?") returns "?"
=SWITCH("a";"a";"1";"?") returns "1"
=SWITCH("x";"a";"1";"?") returns "?"
=SWITCH("b";"a";"1";"b";TRUE;"?") returns TRUE
=SWITCH(7;7;1;7;2;0) returns 2
=SWITCH("a";"a";"1") returns #VALUE!
To use it, open your Excel, go to Develpment tools tab, click Visual Basic, rightclick on ThisWorkbook, choose Insert, then Module, finally copy the code into the editor. You have to save as a macro-friendly Excel workbook (xlsm).
Even if old, this seems to be a popular questions, so I'll post another solution, which I think is very elegant:
http://fiveminutelessons.com/learn-microsoft-excel/using-multiple-if-statements-excel
It's elegant because it uses just the IF function. Basically, it boils down to this:
if(condition, choose/use a value from the table, if(condition, choose/use another value from the table...
And so on
Works beautifully, even better than HLOOKUP or VLOOOKUP
but... Be warned - there is a limit to the number of nested if statements excel can handle.
Microsoft replace SWITCH, IFS and IFVALUES with CHOOSE only function.
=CHOOSE($L$1,"index_1","Index_2","Index_3")
Recently I unfortunately had to work with Excel 2010 again for a while and I missed the SWITCH function a lot. I came up with the following to try to minimize my pain:
=CHOOSE(SUM((A1={"a";"b";"c"})*ROW(INDIRECT(1&":"&3))),1,2,3)
CTRL+SHIFT+ENTER
where A1 is where your condition lies (it could be a formula, whatever). The good thing is that we just have to provide the condition once (just like SWITCH) and the cases (in this example: a,b,c) and results (in this example: 1,2,3) are ordered, which makes it easy to reason about.
Here is how it works:
Cond={"c1";"c2";...;"cn"} returns a N-vector of TRUE or FALSE (with behaves like 1s and 0s)
ROW(INDIRECT(1&":"&n)) returns a N-vector of ordered numbers: 1;2;3;...;n
The multiplication of both vectors will return lots of zeros and a number (position) where the condition was matched
SUM just transforms this vector with zeros and a position into just a single number, which CHOOSE then can use
If you want to add another condition, just remember to increment the last number inside INDIRECT
If you want an ELSE case, just wrap it inside an IFERROR formula
The formula will not behave properly if you provide the same condition more than once, but I guess nobody would want to do that anyway
If your using Office 2016 or later, or Office 365, there is a new function that acts similarly to a CASE function called IFS. Here's the description of the function from Microsoft's documentation:
The IFS function checks whether one or more conditions are met, and returns a value that corresponds to the first TRUE condition. IFS can take the place of multiple nested IF statements, and is much easier to read with multiple conditions.
An example of usage follows:
=IFS(A2>89,"A",A2>79,"B",A2>69,"C",A2>59,"D",TRUE,"F")
You can even specify a default result:
To specify a default result, enter TRUE for your final logical_test argument. If none of the other conditions are met, the corresponding value will be returned.
The default result feature is included in the example shown above.
You can read more about it on Microsoft's Support Documentation