Editing Tame Animal Chance

{{Stub|reason=Account for [[Ideoligion#Ranching]] precept inc effect but also order of operations}}{{Recode|reason=Table with range of chances based on skill and animal wildness}}{{Verified|1.2.2753}}{{Stat
| default base value = 1
| to string style = PercentTwo
| description = The base chance this person will successfully tame an animal on any given attempt. The actual chance is also affected by the animal's wildness.
Failed tame attempt can induce animal attacks, especially for more vicious animals.
}}

== Factors ==
* [[Skills#Animals|Animals]][[Skill::Animals| ]]: [[Skill Base Factor::0.04|4%]] plus [[Skill Bonus Factor::0.03|3%]] per skill level.
* Animal's [[Minimum Handling Skill|Minimum Handling]]: This reduces the effective Animals Skill by the given amount. Akin to {{--|3%}} per level.<ref>While this is derived from the Wildness stat, it is easier to considered its own stat for calculation purposes.</ref>
* [[Manipulation]]: [[Manipulation Importance::0.5|50%]] importance, 20% allowed defect. [[Manipulation Limit::1|100%]] limit
* [[Talking]]: [[Talking Importance::0.9|90%]] importance, 20% allowed defect. [[Talking Limit::1|100%]] limit
* [[Hearing]]: [[Hearing Importance::0.3|30%]] importance, 5% allowed defect. [[Hearing Limit::1|100%]] limit
* [[Ideoligion#Animal connection|Animal Connection]] precept{{IdeologyIcon}} duplicates the chance.
* Animal's [[Wildness]]: A value between 0% to 100%. At 0%, taming chance get doubled, while at 100% it becomes impossible. It has no effect at 50%.<ref>The effects of wildness are obtained from a post-processing curve (also called '''simple curve''') on the function TameChanceFactorCurve_Wildness with the points (1,0);(0.5,1);(0,2). While the formula <code>2 * (1 - [[wildness]])</code> replicates the effects, the difference is that this factor can't go above 2 nor below 0.</ref>
** Despite being human, [[wildman]] have 75% Wildness.

While not directly related to this stat, some other relevant factors for the actual tame chance are:
* If the animal is [[Ideoligion#Venerated_animals|venerated]] by the tamer's ideoligion{{IdeologyIcon}}, the chance get doubled.
* If the tamer is [[bond]]ed with the animal to be tamed, the chance is multiplied by 4.
* If the pawn to be tamed is imprisoned, the chance is multiplied by 0.6 (A {{--|40%}} loss of the final value)

Do note that a pawn with [[Mental_inspiration#Inspired taming| Inspired taming]] will always be successful as long as it meets the Minimum Handling requirement.

== Formula ==
The formula proper is:<br/>
<code><big>'''Tame chance''' = ([[animals|Animals]] - [[Minimum Handling Skill|Minimum Handling]] ) * 2 * (1 - [[wildness]]) * Manipulation Offset * Talking Offset * Hearing Offset</big></code><br/>
<code><big>'''"X" Offset''' = Min( 1; ( ( 1 - X importance ) + X importance * X efficiency / (1 - X Allowed Defect) ) )</big></code>

Replacing values for Manipulation, Talking, and Hearing results on the following expressions: <br/>
:<code>Manipulation Offset = Min( 1; ( 0.5 + 5/8 * Manipulation ) )</code><br/>
:<code>Talking Offset = Min( 1; ( 0.1 + 9/8 * Talking ) )</code><br/>
:<code>Hearing Offset = Min( 1; ( 0.7 + 6/19 * Hearing ) )</code><br/>

Additionally, let's define '''Effective Animals Skill''' as the difference between the pawn animals skill and the minimum handling needed by the animal that is being tamed. If this number is negative, then the pawn can't attempt to tame this animal.<br/>
:<code>'''Effective Animal Skill''' = Pawn Animals Skill - Minimum Handling Skill</code><br/>

With all of the above, the final formula is:<br/>
<code><big>'''Tame chance''' = ( 0.04 + 0.03 * Effective Animal Skill) * 2 * (1 - [[wildness]]) * Min( 1; ( 0.5 + 5/8 * Manipulation ) ) * Min( 1; ( 0.1 + 9/8 * Talking ) ) *  Min( 1; ( 0.7 + 6/19 * Hearing ) )</big></code><br/>

For the case that Manipulation is above 80%, Hearing above 80%, and Talking above 95%, the formula can be reduced to:<br/>
:<code><big>'''Tame chance''' = ( 0.04 + 0.03 * Effective Animal Skill ) * 2 * (1 - [[wildness]])</big></code><br/>

Do note that additional factors mentioned above would apply over this calculated value to obtain the final tame chance.


'''Example:'''<br/>
:A tamer with 13 handling skill has a <code>[4% base] + [3% * 13] = '''42%'''</code> base taming chance. If said pawn attempts to tame a [[Timber wolf]], Minimum Handling of 8, the effective animal skill get reduced to 5, granting a <code>[4% base] + [3% * 5] = '''19%'''</code> taming chance. This value gets further reduced by the '''85% wildness''' of the timber wolf, resulting in a <code>19% * ( 1 - 85% wildness ) = '''2.85%''' </code> taming chance.

:If additionally, this pawn suffers from [[Hearing loss]] on either ear, the taming chance would be <code>19% * ( 1 - 0.85) * (0.7 + 6/19 * 0.875) = '''1.4875%''' </code>.



The table below shows the uncapped chance<ref>The tame chance obtained by the formula above is capped between 1% and 100% '''before''' the wildness/imprison/bonded/venerated factors are applied. The final value used on the evaluation has no such restriction, with chances > 100% always successful and below 0% always failures. This is only relevant  if Manipulation/Talking/Hearing lower the tame chance below 1% or if the precept Animal Connection increases the base chance above 100%</ref> for all vanilla combinations of wildness and '''Effective Animals skill''', or EAS for short. All values assume Manipulation, Hearing, and Talking values high enough to not alter Tame chance. Do note that not all results are possible in normal gameplay; [[Minimum Handling Skill|Minimum Handling]] is decided by the wildeness of the animal in question, removing some combinations.

{| class="wikitable sortable mw-collapsible" style="text-align:center" 
|+ class="nowrap" | Tame chance table
|-
! rowspan=2; | EAS !! rowspan=2; | Base <br/>chance !! colspan=17; | Wildness !! rowspan=2; | EAS 
|-
! 0% !! 20% !! 25% !! 30% !! 35% !! 40% !! 45% !! 50% !! 55% !! 60% !! 75% !! 80% !! 85% !! 90% !! 95% !! 97% !! 98.5%
|-
| 0 || 4.00% || 8.00% || 6.40% || 6.00% || 5.60% || 5.20% || 4.80% || 4.40% || 4.00% || 3.60% || 3.20% || 2.00% || 1.60% || 1.20% || 0.80% || 0.40% || 0.24% || 0.12% || 0
|-
|1 || 7.00% || 14.00% || 11.20% || 10.50% || 9.80% || 9.10% || 8.40% || 7.70% || 7.00% || 6.30% || 5.60% || 3.50% || 2.80% || 2.10% || 1.40% || 0.70% || 0.42% || 0.21% || 1
|-
|2 || 10.00% || 20.00% || 16.00% || 15.00% || 14.00% || 13.00% || 12.00% || 11.00% || 10.00% || 9.00% || 8.00% || 5.00% || 4.00% || 3.00% || 2.00% || 1.00% || 0.60% || 0.30% || 2
|-
|3 || 13.00% || 26.00% || 20.80% || 19.50% || 18.20% || 16.90% || 15.60% || 14.30% || 13.00% || 11.70% || 10.40% || 6.50% || 5.20% || 3.90% || 2.60% || 1.30% || 0.78% || 0.39% || 3
|-
|4 || 16.00% || 32.00% || 25.60% || 24.00% || 22.40% || 20.80% || 19.20% || 17.60% || 16.00% || 14.40% || 12.80% || 8.00% || 6.40% || 4.80% || 3.20% || 1.60% || 0.96% || 0.48% || 4
|-
|5 || 19.00% || 38.00% || 30.40% || 28.50% || 26.60% || 24.70% || 22.80% || 20.90% || 19.00% || 17.10% || 15.20% || 9.50% || 7.60% || 5.70% || 3.80% || 1.90% || 1.14% || 0.57% || 5
|-
|6 || 22.00% || 44.00% || 35.20% || 33.00% || 30.80% || 28.60% || 26.40% || 24.20% || 22.00% || 19.80% || 17.60% || 11.00% || 8.80% || 6.60% || 4.40% || 2.20% || 1.32% || 0.66% || 6
|-
|7 || 25.00% || 50.00% || 40.00% || 37.50% || 35.00% || 32.50% || 30.00% || 27.50% || 25.00% || 22.50% || 20.00% || 12.50% || 10.00% || 7.50% || 5.00% || 2.50% || 1.50% || 0.75% || 7
|-
|8 || 28.00% || 56.00% || 44.80% || 42.00% || 39.20% || 36.40% || 33.60% || 30.80% || 28.00% || 25.20% || 22.40% || 14.00% || 11.20% || 8.40% || 5.60% || 2.80% || 1.68% || 0.84% || 8
|-
|9 || 31.00% || 62.00% || 49.60% || 46.50% || 43.40% || 40.30% || 37.20% || 34.10% || 31.00% || 27.90% || 24.80% || 15.50% || 12.40% || 9.30% || 6.20% || 3.10% || 1.86% || 0.93% || 9
|-
|10 || 34.00% || 68.00% || 54.40% || 51.00% || 47.60% || 44.20% || 40.80% || 37.40% || 34.00% || 30.60% || 27.20% || 17.00% || 13.60% || 10.20% || 6.80% || 3.40% || 2.04% || 1.02% || 10
|-
|11 || 37.00% || 74.00% || 59.20% || 55.50% || 51.80% || 48.10% || 44.40% || 40.70% || 37.00% || 33.30% || 29.60% || 18.50% || 14.80% || 11.10% || 7.40% || 3.70% || 2.22% || 1.11% || 11
|-
|12 || 40.00% || 80.00% || 64.00% || 60.00% || 56.00% || 52.00% || 48.00% || 44.00% || 40.00% || 36.00% || 32.00% || 20.00% || 16.00% || 12.00% || 8.00% || 4.00% || 2.40% || 1.20% || 12
|-
|13 || 43.00% || 86.00% || 68.80% || 64.50% || 60.20% || 55.90% || 51.60% || 47.30% || 43.00% || 38.70% || 34.40% || 21.50% || 17.20% || 12.90% || 8.60% || 4.30% || 2.58% || 1.29% || 13
|-
|14 || 46.00% || 92.00% || 73.60% || 69.00% || 64.40% || 59.80% || 55.20% || 50.60% || 46.00% || 41.40% || 36.80% || 23.00% || 18.40% || 13.80% || 9.20% || 4.60% || 2.76% || 1.38% || 14
|-
|15 || 49.00% || 98.00% || 78.40% || 73.50% || 68.60% || 63.70% || 58.80% || 53.90% || 49.00% || 44.10% || 39.20% || 24.50% || 19.60% || 14.70% || 9.80% || 4.90% || 2.94% || 1.47% || 15
|-
|16 || 52.00% || 104.00% || 83.20% || 78.00% || 72.80% || 67.60% || 62.40% || 57.20% || 52.00% || 46.80% || 41.60% || 26.00% || 20.80% || 15.60% || 10.40% || 5.20% || 3.12% || 1.56% || 16
|-
|17 || 55.00% || 110.00% || 88.00% || 82.50% || 77.00% || 71.50% || 66.00% || 60.50% || 55.00% || 49.50% || 44.00% || 27.50% || 22.00% || 16.50% || 11.00% || 5.50% || 3.30% || 1.65% || 17
|-
|18 || 58.00% || 116.00% || 92.80% || 87.00% || 81.20% || 75.40% || 69.60% || 63.80% || 58.00% || 52.20% || 46.40% || 29.00% || 23.20% || 17.40% || 11.60% || 5.80% || 3.48% || 1.74% || 18
|-
|19 || 61.00% || 122.00% || 97.60% || 91.50% || 85.40% || 79.30% || 73.20% || 67.10% || 61.00% || 54.90% || 48.80% || 30.50% || 24.40% || 18.30% || 12.20% || 6.10% || 3.66% || 1.83% || 19
|-
|20 || 64.00% || 128.00% || 102.40% || 96.00% || 89.60% || 83.20% || 76.80% || 70.40% || 64.00% || 57.60% || 51.20% || 32.00% || 25.60% || 19.20% || 12.80% || 6.40% || 3.84% || 1.92% || 20
|}

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== Notes ==