> For the complete documentation index, see [llms.txt](https://docs.creativeconners.com/docs/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.creativeconners.com/docs/spikemark/spikes/nearest-multiple.md).

# Nearest Multiple Spike

Nearest Multiple Spikes will move the motor in either direction to the **closest multiple** of **Factor** plus **Offset.** Put in other words:

$$
NewTargetPosition=NearestMultiple(Factor+offSet)
$$

The $$NearestMultiple(Factor+offSet)$$is found by calculating the $$New Forward Position$$ and the $$New Reverse Position$$, then selecting which one is closest to the $$Current Motor Position$$ and setting that as the New Target Position.

#### For Math Nerds

* $$P\_C=$$ Current Position
* $$R↑=$$ Round Up
* $$R↓=$$ Round Down
* $$F=$$ Factor Value
* $$S=$$ Offset Value

$$
|P\_C-(R↑\[P\_C/F]\*F+S)|  <^? |P\_C-(R↓\[P\_C/F]\*F+S)|
$$

#### If Yes, $$NewTargetPosition=NewForwardPosition$$

$$
New Forward Position = Round↑(CurrentMotorPosition/Factor) \* Factor + Offset
$$

#### If No, $$NewTargetPosition=NewReversePosition$$

$$
New Reverse Position = Round↓(CurrentMotorPosition/Factor) \* Factor + Offset
$$

### Changing the Type

Nearest multiple spikes are denoted with a `↔` (left right arrow) and use a **Factor** and an **Offset.**

To change the type double click in the **Type** column and select **Nearest Multiple** then press `enter` or `tab` to save it.

![](/files/-Mi72dbZ84Dux4pf1uo_)

### Changing the Factor <a href="#changing-the-offset" id="changing-the-offset"></a>

To change the factor double click in the **Factor** column give it a new factor and then press `enter` or `tab` to save it.

![](/files/-Mi72onpnZ6nLemH7Vip)

### Changing the Offset‌ <a href="#changing-the-offset" id="changing-the-offset"></a>

To change the offset double click in the **Offset** column give it a new offset and then press `enter` or `tab` to save it.

![](/files/-Mi72rdfyyRUiadwxnAr)


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