I have a scale, based on which I decide the value of the coefficient for the multiplication. The scale looks as following:
Which means that:
for Category1: when value>=1.000.000 then coef is 1, when value>=500.000 then coef is 0.8 and etc.
Same logic applies for Category2;
Then I have input data in the following format:
Company !MainCat|Sales Amount|
Company1|T1 | 6.500.000|
Company2|T2 | 70.000|
I need to find corresponding coefficient, ratio of the coeffitient and the value (=ratio*MaxCoef). Currently, I am finding coef the following way:
- for company1:
=IF(C8>=$D2;$D$1;IF(C8>=$E2;$E$1;IF(C8>=$F2;$F$1;IF(C8>=$G2;$G$1;IF(C8>=$H2;$H$1;IF(C8>=$I2;$I$1))))))
That is literally hardcoded and doesn't look good. Maybe there is a better way of doing ? Any suggestions?
Formula view:
You can COUNTIF(range, [criteria] < value) * 0.2 as your add 0.2 per coef stage.
To you data do: =COUNTIF(D2:H2, "<"&C8) * 0.2, count how many stages the value passes * the value per stage.
Your count if range needs to be until H2 as I2 is 0, so inferior to value and gets counted.
To combine the COUNTIF() with a dynamic search for the right category based on MainCat you can MATCH() the MainCat with Code which will give the row where the Code is located and utilize INDIRECT() to apply it as range.
=COUNTIF(INDIRECT("D"&MATCH(B8,B:B,0)&":H"&MATCH(B8,B:B,0)),"<"&C8)*0.2
MATCH(B8,B:B,0) - will match the value on B8 (lets say T1) and return the row 2.
INDIRECT("D"&MATCH(B8,B:B,0)&":H"&MATCH(B8,B:B,0) = INDIRECT("D"&2&":H"&2) - will turn the text into an actual range to be use by the COUNTIF().
Create a table ‚Mapping’ that contains two columns, ‚Category’ and ‚Coefficient‘, then use INDEX-MATCH on it as described in https://www.deskbright.com/excel/using-index-match/.
=INDEX(Mapping[Category]; MATCH([Coefficient]; Mapping[Coefficient]; -1))
This example assumes that you put this formula into a table that has a column named ‚Coefficient‘ with the input value to your multiple IFs.
The trick is that as a match_type argument, provide either -1 or 1, according to your needs.
You can do this in VBA. Write your own function which ends in something like that
=MyOwnScale(C8; B8; A2:I3)
The first parameter of your VBA-function is the value, the second the category and the third is the range with the thresholds. So you can move your cascading IF-loops in VBA-Code and you (and your users) see only a clean function call in the cell.
Related
I have a table on Excel with data as the following:
Meaning, I have different JPH based on the %SMALL unit and the number of active stations.
I need to create a matrix like the following (with %SMALL on horizontal and STATIONS on vertical axes):
And the formula for each cell should:
Take the input of Stations (column "B")
Check, for that specific Stations number, the amount of data on the other table (like make a filter on STATIONS for the specific number)
Perform an VLOOKUP for checking the JPH based on the %SMALL value on row 2
Interpolate for the exact JPH value, if not found on table
For now, I was able to create the last part (the VLOOKUP and the interpolation), with the following:
=IFERROR(VLOOKUP(C2;'EARLY-STATIONS'!$F:$H;3;FALSE);AVERAGE(OFFSET(INDEX('EARLY-STATIONS'!$H:$H;MATCH(C2;'EARLY-STATIONS'!$F:$F;1));0;0;2;1)))
The problem I'm facing is than with this, the calculation is not checking the number of stations, so the Iteration is not accurate.
Unfortunately I cannot use VBA macros to solve this.
Any clue?
This is an attempt because more clarity is needed in terms of all possible scenarios to consider, based on different input data and how to understand the "extrapolation" process. This approach understands as extrapolation the average of two values (lower and greater), but the idea can be customized to any other way to calculate it. Per tags listed in the question I assume there is no Excel version constraint. This is O365 solution:
=LET(sm, A2:A10, st, B2:B10, jph, C2:C10, smx, F1:J1, sty, E2:E4, NULL, "",
GETLk, LAMBDA(x,y,mode, FILTER(jph, (st=y)
* (sm = INDEX(sm, XMATCH(x, sm, mode))), NULL)),
GET, LAMBDA(x,y, LET(f, FILTER(jph, (jph=GETLk(x,y, 1))
+ (jph=GETLk(x,y, -1)), NULL), IF(#f=NULL, NULL, AVERAGE(f)))),
HREDUCE, LAMBDA(yi, DROP(REDUCE("", smx, LAMBDA(ac,x,
HSTACK(ac, GET(x, yi)))),,1)),
DROP(REDUCE("", sty, LAMBDA(ac,y, VSTACK(ac, HREDUCE(y)))),1))
The above formula spills the entire result, I don't think for this case you can use a LOOKUP-like function.
Here is the output:
The highlighted cells where the average is calculated.
Explanation
The main idea is to use DROP/REDUCE/HSTACK/VSTACK pattern to generate the grid. Check my answer to the following question: how to transform a table in Excel from vertical to horizontal but with different length on how to apply it.
We use two user LAMBDA functions to abstract some calculations:
GETLk(x,y,mode), filters jph name based on %SMALL and Stations columns values, based on input values x (x-axis value from the grid), y (y-axis value form the grid) respectively. The third input argument mode, is for doing the approximate search in XMATCH (1-next largest, -1 next smallest). In case the value exist in the input table, XMATCH returns the same value in both cases.
GET(x,y) has the logic to find the value or if the value doesn't exist to calculate the average. It uses the previous LAMBDA function GETLk. We filter for jph values that match the input values (x,y), but we use an OR condition in the FILTER (+), to select both lower or greater values. If the value exist, returns just one value otherwise two values are returned by FILTER (f). Finally if f is not empty we return the average, otherwise the value we setup as NULL.
HREDUCE: Concatenate the result by columns for a given row of the grid. Check the referred question for more information about it.
I'm trying to compare two columns ("Shows") from different tables and showing which one has the greater number ("Rating") associated with it in another table.
Ignore the operation column above as part of the solution that I'm trying to get, it's just to illustrate for you what I'm trying to compare.
Important note: If the names are duplicated. Compare the matching pair in their corresponding order. (1st with 1st, 2nd with 2nd, 3rd with 3rd etc..) illustrated in the table below:
Thanks
You can try the following in cell F3 for an array solution that spills the entire result at once:
=LET(sA, A3:A6, rA, B3:B6, sB, C3:C6, rB, D3:D6, CNTS, LAMBDA(x,
LET(seq, SEQUENCE(ROWS(x)), MAP(seq, LAMBDA(s,ROWS(FILTER(x,(x=INDEX(x,s))
*(seq<=s))))))), cntsA, CNTS(sA), cntsB, CNTS(sB), eval, MAP(sA, rA, cntsA,
LAMBDA(s,r,c,IF(r > FILTER(rB, (sB=s) * (cntsB=c)), "Table 1", "Table 2"))),
HSTACK(sA, eval))
Here is the output:
Explanation
The main idea is to count repeated show values. We use a user LAMBDA function CNTS, to avoid repetition of the same formula twice. Once we have the counts (cntsA, contsB), we use MAP to iterate over Table 1 elements with the counts and look for specific show and counts to compare with Table 2 columns. The FILTER function will return always a single value (based on sample data). Finally, we prepare the output as expected using HSTACK.
Try-
=IF(INDEX(FILTER($B$3:$B$6,$A$3:$A$6=G3),COUNTIFS($G$3:$G3,G3))>INDEX(FILTER($E$3:$E$6,$D$3:$D$6=G3),COUNTIFS($G$3:$G3,G3)),"Table-1","Table-2")
I am currently trying to check if a number in a comma-separated string is within a number interval. What I am trying to do is to check if an area code (from the comma-separated string) is within the interval of an area.
The data:
AREAS
Area interval
Name
Number of locations
1000-1499
Area 1
?
1500-1799
Area 2
?
1800-1999
Area 3
?
GEOLOCATIONS
Name
Areas List
Location A
1200, 1400
Location B
1020, 1720
Location C
1700, 1920
Location D
1940, 1950, 1730
The result I want here is the number of unique locations in the "Areas list" within the area interval. So Location D should only count ONCE in the 1800-1999 "area", and the Location A the same in the 1000-1499 location. But location B should count as one in both 1000-1499 and one in 1500-1799 (because a number from each interval is in the comma-separated string in "Areas list"):
Area interval
Name
Number of locations
1000-1499
Area 1
2
1500-1799
Area 2
3
1800-1999
Area 3
2
How is this possible?
I have tried with a COUNTIFS, but it doesnt seem to do the job.
Here is one option using FILTERXML():
Formula in C2:
=SUM(FILTERXML("<x><t>"&TEXTJOIN("</s></t><t>",,"1<s>"&SUBSTITUTE(B$7:B$10,", ","</s><s>"))&"</s></t></x>","//t[count(.//*[.>="&SUBSTITUTE(A2,"-","][.<=")&"])>0]"))
Where:
"<x><t>"&TEXTJOIN("</s></t><t>",,"1<s>"&SUBSTITUTE(B$7:B$10,", ","</s><s>"))&"</s></t></x>" - Is the part where we construct a valid piece of XML. The theory here is that we use three axes here. Each t-node will be named a literal 1 to make sure that once we return them with xpath we can sum the result. The outer x-nodes are there to make sure Excel will handle the inner axes correctly. If you are curious to know how this xml-syntax looks at the end, it's best to step through using the 'Evaluate Formula' function on the Data-tab;
//t[count(.//*[.>="&SUBSTITUTE(A2,"-","][.<=")&"])>0]")) - Basically means that we collect all t-nodes where the count of child s-nodes that are >= to the leftmost number and <= to the rightmost number is larger than zero. For A2 the xpath would look like //t[count(.//*[.>=1000][.<=1499])>0]")) after substitution. In short: //t - Select t-nodes, where count(.//* select all child-nodes where count of nodes that fullfill both requirements [.>=1000][.<=1499] is larger than zero;
Since all t-nodes equal the number 1, the SUM() of these t-nodes equals the amount of unique locations that have at least one area in its Areas List;
Important to note that FILTERXML() will result into an error if no t-nodes could be found. That would mean we need to wrap the FILTERXML() in an IFERROR(...., 0) to counter that and make the SUM() still work correctly.
Or, wrap the above in BYROW():
Formula in C2:
=BYROW(A2:A4,LAMBDA(a,SUM(FILTERXML("<x><t>"&TEXTJOIN("</s></t><t>",,"1<s>"&SUBSTITUTE(B$7:B$10,", ","</s><s>"))&"</s></t></x>","//t[count(.//*[.>="&SUBSTITUTE(a,"-","][.<=")&"])>0]"))))
Using MMULT and TEXTSPLIT:
=LET(rng,TEXTSPLIT(D2,"-"),
tarr,IFERROR(--TRIM(TEXTSPLIT(TEXTJOIN(";",,$B$2:$B$5),",",";")),0),
SUM(--(MMULT((tarr>=--TAKE(rng,,1))*(tarr<=--TAKE(rng,,-1)),SEQUENCE(COLUMNS(tarr),,1,0))>0)))
I am in very distinguished company but will add my version anyway as byrow probably is a slightly different approach
=LET(range,B$2:B$5,
lowerLimit,--#TEXTSPLIT(E2,"-"),
upperLimit,--INDEX(TEXTSPLIT(E2,"-"),2),
counts,BYROW(range,LAMBDA(r,SUM((--TEXTSPLIT(r,",")>=lowerLimit)*(--TEXTSPLIT(r,",")<=upperLimit)))),
SUM(--(counts>0))
)
Here the ugly way to do it, with A LOT of helper columns. But not so complicated 🙂
F4= =TRANSPOSE(FILTERXML("<m><r>"&SUBSTITUTE(B4;",";"</r><r>")&"</r></m>";"//r"))
F11= =TRANSPOSE(FILTERXML("<m><r>"&SUBSTITUTE(A11;"-";"</r><r>")&"</r></m>";"//r"))
F16= =SUM(F18:F21)
F18= =IF(SUM(($F4:$O4>=$F$11)*($F4:$O4<=$G$11))>0;1;"")
G18= =IF(SUM(($F4:$O4>=$F$12)*($F4:$O4<=$G$12))>0;1;"")
H18= =IF(SUM(($F4:$O4>=$F$13)*($F4:$O4<=$G$13))>0;1;"")
I need to create a running product from a column of numbers (I could use a row, but a column is easier to demonstrate here.) The input might be any arbitrary array. In fact, in the application where I would deploy this, it will not be a range, but rather another dynamic array within a LAMBDA formula. Here is an example of the Input column of numbers and the desired Output from the formula:
Inputs
Expected Dynamic Array Output
10
10
8
80
3
240
4
960
5
4800
The formula would spill the results.
There are lots of solutions for a running total, but I've found no solution for a running product. I have tried a few different approaches, including SUBTOTAL and AGGREGATE with no success. I have also built a number of approaches that get the result, but are hard-coded to a fixed number of rows. I need the formula to adapt to any arbitrarily sized number of rows. The following formula is the closest I have gotten so far.
This LET formula delivers the result, but, as you can see is fixed to 5 rows:
=LET( a, {10;8;3;4;5},
v, SEQUENCE( ROWS(a) ), h, TRANSPOSE( v ),
stagr, (v - h + 1) * (v >= h),
m, IFERROR(INDEX( a, IF(stagr>0,stagr,-1), ), 1),
almost, INDEX(m,v,h) * INDEX(m,v,h+1) * INDEX(m,v,h+2) * INDEX(m,v,h+3) * INDEX(m,v,h+4),
result, INDEX( almost, , 1 ),
result )
The arbitrary array of numbers input is placed in the variable a.
The next step is to create some indexes that will be used to address these numbers: v is a sequence of vertical rows for each number in a and h is a the same sequence, but transposed into columns. stagr is an index matrix that is created from v and h that will later be used to address each item in a to form it into a multiplication matrix. If you replace the last result with stagr, you can see the shape of stagr. It just shifts a column down by one row until they are shifted all the way down.
Now we create the mulitplication matrix m using stagr by simply using INDEX, like this: INDEX(a,stagr). But this is not exactly what is needed because it takes the first row value (10) and replicates it because an INDEX of 0 is treated the same as 1. To get what we want, I forced an error by using and internal IF statement like this: INDEX( a, IF(stagr>0,stagr,-1) ) to replace the 0 results with -1. i.e. it will produce this:
Now, replace the errors with 1's by using IFERROR, so this explains how m is created and why. The result is a matrix like this:
and by multiplying m row-wise, we get the output we want, but this is where I fail.
For illustration, I created a variable almost that shows how I am trying to do a row-wise multiplication.
almost, INDEX(m,v,h) * INDEX(m,v,h+1) * INDEX(m,v,h+2) * INDEX(m,v,h+3) * INDEX(m,v,h+4)
You can see that I crudely multiplied one column times the next and the next... and using h + offset to get there. This produces the almost matrix and result just delivers the first column of that matrix, which contains the answer.
While an answer might be a good replacement for almost that would be dynamically sized, that is not my real question. I want a running product and I suspect that there is a wholly different approach than simply replacing my almost.
Just to be clear, the result must be a dynamic array that spills with no helper cells or CSE drag-down.
oh... and no VBA. (#stackoverflow - please add a no-VBA tag)
The only way I can find is to use DPRODUCT with OFFSET, but that requires a title row. It does not matter what is in the title row(it can even be empty), just that it is included.
=DPRODUCT(OFFSET(A1,0,0,SEQUENCE(COUNT(A:A),,2)),1,$ZZ1:$ZZ2)
The $ZZ1:$ZZ2 can be any empty cell reference.
If the values in A are dynamic then we can do:
=DPRODUCT(OFFSET(A1,0,0,SEQUENCE(ROWS(A2#),,2)),1,$ZZ:$ZZ)
There are plenty of interesting answers here. But, if summation is easy why not take logarithms of the number you want to multiply, sum those logarithms and then calculate the exponent of your sum to return to the product of the original numbers.
i.e. exploit the fact that ln(a * b) = ln(a) + ln(b)
Whilst not available to everybody (yet) we can use SCAN()
Formula in A1:
=SCAN(1,{10,8,3,4,5},LAMBDA(a,b,a*b))
The 1st parameter is our starting value, meaning the 1st calculation in the nested LAMBDA() is '1*10'.
The 2nd parameter can both take a 1D- & 2D-array (written or range-reference).
The 3rd parameter is a nested LAMBDA() where the result of our recursive function will then be used for the 2nd calculation; '10*8'. And the 3rd...etc. etc.
In the above sample a vertical array is spilled but when horizontal input is used this will obviously result in an horizontal spilled output. When a 2D-array is used this will spill a 2D-array as result.
This question relates to the Schematiq add-in for Microsoft Excel.
Using =tbl.Lookup(table, columnsToSearch, valuesToFind, resultColumn, [defaultValue]) the values in the valuesToFind column have a consistent 3 characters to the left and then varying characters after (e.g. 908-123456 or 908-321654 - i.e. 908 is always consistent)
How can I tell the function to lookup the value based on the first 3 characters only? The expected answer should be the sum of the results of the above, i.e. 500 + 300 = 800
tbl.Lookup() works by looking for an exact match - this helps ensure it's fast but in this case it means you need an extra step to calculate a column of lookup values, something like this:
A2: =tbl.CalculateColumn(A1, "code", "x => LEFT(x, 3)", "startOfCode")
This will give you a new column that you can use for the columnsToSearch argument, however tbl.Lookup() also looks for just one match - it doesn't know how to combine values together if there is more than one matching row in the table, so I think you also need one more step to group your table by the first 3 chars of the code, like this:
A3: =tbl.Group(A2, "startOfCode", "amount")
Because tbl.Group() adds values together by default, this will give you a table with a row for each distinct value of startOfCode and the subtotal of amount for each of those values. Finally, you can do the lookup exactly as you requested, which for your input table will return 800:
A4: =tbl.Lookup(A3, "startOfCode", "908", "amount")