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### Modulo @ Arithmetic Combinator

Posted: **Sun Nov 08, 2020 2:33 am**

by **burninghey**

I'm not a math expert, but I think i have discovered an error @

https://wiki.factorio.com/Arithmetic_combinator
Could fix it myself of course, but I do not want to enter wrong information

This one:

* Modulo, indicated using % as it is in most programming languages, is the remainder after division. For example, 13 % 3 is 1 (13 = 4 * 3 + 1). This can be used, for example, to separate out individual digits of a number for use in building visual indicators, along with division: *

- While the example "13 % 3 is 1 (13 = 4 * 3 + 1)" is easy, the following confuses me:

**(24321 / 10000) % 10 = 2**

(24321 / 1000) % 10 = 4

(24321 / 100) % 10 = 3

(24321 / 10) % 10 = 2

(24321 / 1) % 10 = 1

just seems to be wrong. There is an older version of that part:

https://wiki.factorio.com/index.php?tit ... did=138178
*Modulo: marked somewhat confusingly as %, is the remainder after division. For example 10 modulo 3 is 1 (3*3=9, remainder 1). This can be used for example to separate out thousands, hundreds, tens and ones for use in building visual indicators. e.g.*

**24321 modulo 10000 = 4321**

24321 modulo 1000 = 321

24321 modulo 100 = 21

24321 modulo 10 = 1

which seems to be correct and nowhere the same as above.

### Re: Modulo @ Arithmetic Combinator

Posted: **Sun Nov 08, 2020 3:56 am**

by **boskid**

Both current and old are correct.

### Re: Modulo @ Arithmetic Combinator

Posted: **Sun Nov 08, 2020 4:52 am**

by **valneq**

burninghey wrote: ↑Sun Nov 08, 2020 2:33 am

- While the example "13 % 3 is 1 (13 = 4 * 3 + 1)" is easy, the following confuses me:

(24321 / 10000) % 10 = 2

(24321 / 1000) % 10 = 4

(24321 / 100) % 10 = 3

(24321 / 10) % 10 = 2

(24321 / 1) % 10 = 1

This is correct if you interpret the division symbol as pure integer division, i.e. rounding down and thus resulting in an integer. A more explicit way of writing this would be

floor(24321 / 10000) % 10 = 2

floor(24321 / 1000) % 10 = 4

floor(24321 / 100) % 10 = 3

floor(24321 / 10) % 10 = 2

floor(24321 / 1) % 10 = 1

Otherwise, you have to be more explicit in how you define the modulo operation on floating point numbers.

### Re: Modulo @ Arithmetic Combinator

Posted: **Sun Nov 08, 2020 6:31 am**

by **Pi-C**

valneq wrote: ↑Sun Nov 08, 2020 4:52 am

This is correct if you interpret the division symbol as pure integer division, i.e. rounding down and thus resulting in an integer.

Interesting. I've looked at a mod yesterday that had code like this:

Code: Select all

```
local runs = math.max(1,(global.firecount or 0)/5) + (global.fractional_tick or 0)
global.fractional_tick = runs % 1
```

This didn't make sense (in my opinion x%1 would always be 0). So I tested it on my calculator -- which failed because it expects integers for modulo. However, when I executed this directly in Lua from the command line, it did return the fractional part (i.e. 0<x<1). Guess I'll have to check how Factorio handles this when I'm back at the computer where it's installed. Whatever the outcome, it would be a good idea to explicate whether Factorio's Lua implementation will use floating point values with modulo directly or whether it will silently convert them to integers.

### Re: Modulo @ Arithmetic Combinator

Posted: **Sun Nov 08, 2020 7:08 am**

by **valneq**

Well, considering that mods are written in Lua, and Lua defines modulo like this (

source):

Lua 5.1 Reference Manual wrote:
a % b == a - math.floor(a/b)*b

you get exactly what you observed.

### Re: Modulo @ Arithmetic Combinator

Posted: **Sun Nov 08, 2020 7:47 am**

by **SoShootMe**

burninghey wrote: ↑Sun Nov 08, 2020 2:33 am

I'm not a math expert, but I think i have discovered an error @

https://wiki.factorio.com/Arithmetic_combinator
Could fix it myself of course, but I do not want to enter wrong information

This one:

* Modulo, indicated using % as it is in most programming languages, is the remainder after division. For example, 13 % 3 is 1 (13 = 4 * 3 + 1). This can be used, for example, to separate out individual digits of a number for use in building visual indicators, along with division: *

- While the example "13 % 3 is 1 (13 = 4 * 3 + 1)" is easy, the following confuses me:

**(24321 / 10000) % 10 = 2**

(24321 / 1000) % 10 = 4

(24321 / 100) % 10 = 3

(24321 / 10) % 10 = 2

(24321 / 1) % 10 = 1

just seems to be wrong.

The preceding section explains that division is truncated; perhaps more explicitly linking the two, up front, would help make the example clearer? Something like:

"This can, for example, be combined with truncated division as described above to separate out individual digits ..."

### Re: Modulo @ Arithmetic Combinator

Posted: **Mon Nov 09, 2020 12:00 pm**

by **Bilka**

The division is truncated, as explained in this thread and on the page. I added the extra note suggested by SoShootMe (thank you!) to make this more clear on the page.

Note that the page is only about the circuit network. The Lua modulo operator that was mentioned in this thread behaves differently. Lua modulo is documented in the Lua documentation, as mentioned by valneq (direct link:

https://www.lua.org/manual/5.2/manual.html#3.4.1).

### Re: Modulo @ Arithmetic Combinator

Posted: **Mon Nov 09, 2020 2:48 pm**

by **burninghey**

thank you!