## Calculate Excel column width pixel interval

Brace yourself. You’re about to learn the secret behind how Excel mysteriously calculates the column width intervals.

In this article, I’m not going into the details of the column widths, but the column width intervals. There’s a difference. From the Open XML SDK specs:

width = Truncate([{Number of Characters} * {Maximum Digit Width} + {5 pixel padding}] / {Maximum Digit Width} * 256) / 256

To put it mildly, that’s a load of hogwash. In the documentation, it says that for Calibri 11 point at 96 DPI, the maximum digit width is 7 pixels. That is also another load of hogwash. It’s actually 8 pixels (well, 7 point something…).

When you move the line on the column width in Excel, just 1 pixel to the left, what is the column width? When you move it 1 pixel to the right, what’s the column width?

It turns out the each pixel interval isn’t a simple multiple of an internal column width interval.

Let’s take Calibri 11 pt 96 DPI again. With a maximum digit width of 8 pixels, each column width interval per pixel is supposedly 1/7 or 1/(max digit width -1).

But wait! It’s not actually 1/7. **It’s the largest number of 1/256 multiples that is less than 1/7**.

Now 1/7 is about 0.142857142857143. The actual interval is 0.140625, which is 36/256.

4/7 is about 0.571428571428571. The actual interval is 0.5703125, which is 146/256. And you will note that 146 is not equal to (4 * 36).

If you’re using Open XML SDK (or however you choose to access an Open XML Excel file), when you set the column width as 8.142857142857143, internally, Excel will save it as 8.140625.

Here’s some code:

int iPixelWidth = 8; double fIntervalCheck; double fInterval; for (int step = 0; step < iPixelWidth; ++step) { fIntervalCheck = (double)step / (double)(iPixelWidth - 1); fInterval = Math.Truncate(256.0 * fIntervalCheck) / 256.0; Console.WriteLine("{0:f15} {1:f15}", fIntervalCheck, fInterval); }

So now you know how the intervals are calculated. But what about the actual column width? Hmm... perhaps another article...

P.S. I'm currently doing research for how to do autofitting for rows and columns for my spreadsheet library. I found this "secret" after fiddling with Excel files for a couple of hours... I know I'm talking about my library a lot, but it's taking up a lot of my brain space right now, so yeah...