## Armor

Note that:

- Armor reduction will only apply when damage crosses the shield.
- The damage armor needs to reduce may be lower than original damage because of the shield reduction.
- If you get a negative number as armor reduction, it means 0.
- Floor function is used here, basically it means that we remove decimals.
- Ceil function is used here, basically it means that we round up numbers with decimals to next integer.

Variables:

- r = minimum armor reduction
- R = maximum armor reduction
- t = total armor
- d = damage (after the shield)
- p = percentage reduction of item

### Armor Reduction

*where denotes floor function (rounding down).*

### Percentage Reduction

This formula have to be applied for every single item that has percentage reduction.

### Example

You get a hit with original value of 200 wearing only Zaoan Helmet and Protection Amulet

t = total armor = 9

r = 4

R = 7

Now we calculate the % reduction that Zaoan Helmet has

p = 5

d = 190

Now we calculate the % reduction that Protection Amulet has

p = 6

d = 178

For this example, damage becomes 178, minimum armor reduction will be 4 and maximum armor reduction will be 7, so the hit will hit you from 171 to 174.

## Armor and Defense

Min:

Max:

(Let's supose that a creature has a max damage of 500. The attack of creature will be a random number from 1 to 500)

- Defense = b (Defense value of your shield plus your weapon modifier or defense value of your two handed weapon)
- Total Armor = c (Make a sum of all your set arm value)
- Shielding = d
- Defense factor = e

Full Attack: 5

Balanced: 7

Defensive: 10

Now use this formula:

*NOTICE*: The max damage of a creature could be higher than the max damage in creatures page.

The rest of formulas you can find them on this link:

https://tibia.fandom.com/wiki/Formulae