Editing Battle Engine

=Battle Engine Explained=

==Definitions==

{|class='hor-minimalist-a'
|Match
|A complete fight between two characters. A match has n rounds.
|- 
|Round
|A round includes two turns, one for the attacker and one for defender
|- 
|Turn
|A turn includes n hits with n between 1 and 3
|-
|Armor Encumbrance
|Ratio between the Equipped Armor weight and the base transportable weight
|-
|Armor Penetration
|Armor penetration represents a weapon's ability to overcome armor to deliver cutting damage.
|}

==How it works==

[[File:Battle Engine-1.png]]

==Initiative Computation==

Initiative determine '''who will attack first''' and is computed at the start of every round. It will depend on the reach attribute of each character’s weapon. '''A character using a weapon with a longer reach than his/her opponent will have better odds of gaining the initiative'''. If the weapons have the same reach, each character has a equal chance of gaining the initiative.

   Initiative = f( Attacker_Weapon_Length, Defender_Weapon_Length )

==Consecutive Hits Computation==

Range: 1-3

After initiative has been computed, the engine computer how many consecutive hits the attacker will deal.

'''Negative Variables'''

* Weapon Reach
* Weapon Weight
* Armor Encumbrance

'''Positive Variables'''

* Energy
* Constitution
* Strength

The variables values will be normalized and summed.

{|class='hor-minimalist-a'
|-
|
!colspan="10" style="text-align:center"|strength + energy + constitution (normalized) (normalized)
|- 
!rowspan="9" style="text-align:center"|weapon reach + <br/> weapon weight + <br/>armor encumberance<br/>
(normalized)
|
|0
|0,5
|1
|1,5
|2
|2,5
|3
|- 
|0
|1
|1
|2
|3
|3
|3
|3
|- 
|0,5
|1
|1
|2
|3
|3
|3
|3
|- 
|1
|1
|1
|1
|2
|3
|3
|3
|- 
|1,5
|1
|1
|1
|1
|2
|3
|3
|- 
|2
|1
|1
|1
|1
|2
|3
|3
|- 
|2,5
|1
|1
|1
|1
|1
|2
|3
|- 
|3
|1
|1
|1
|1
|1
|2
|3
|}

==Hit and Miss Chance Computation==

Logic to hit or miss depends on the ratio between Attacker and Defender Dexterities.

   Hit_chance = f( Attacker_Dexterity, Defender_Dexterity )

'''If a character is stunned the attacker has a 100% chance to hit the opponent.'''

<u>Example:</u>

* Attacker has dex 20, defender has dex 15. Hit_Chance will be about 71%. 
* Attacker has dex 20, defender has dex 2. Hit_Chance will be about 97%. 
* Attacker has dex 10, defender has dex 18. Hit_Chance will be about 55%. 
* Attacker has dex 1, defender has dex 18. Hit_Chance will be about 26%. 

==Hit Logic==

It will be possible to hit  on following body parts:

''head, armor, legs, feet, left arm, right arm''

Only with a weapon of reach at least 4, it will be possible to hit the part ''feet''.

The armors will do not (as before) covers only the part where they are equipped but they extend also on other parts. 

For example, before the plate armor was equipped on slot ''armor'' and its defense was effective only when the attacker was hitting the part “armor”. Now, the plate armor defense is effective also against hits on ''left arm'' and ''right arm''.

{|class='hor-minimalist-a'
|-
!Armor
!Equipped on
!Covers
|- 
|Chainmail
|Torso
|Armor, Left Arm, Right Arm
|- 
|Leather Armor
|Armor
|Armor
|- 
|Plate Armor
|Armor
|Armor, Left Arm, Right Arm
|- 
|}


<u>Example</u>

If the defender is wearing a chainmail (defense 4) under a Leather Armor (defense 2), and a hit goes on part Armor:

# The engine will recompute damage by applying the Leather Armor + chainmail defense (6)
# The engine will consume only the Leather Armor but by his defense (2)

If the Leather Armor eventually breaks the engine will consider only the Chainmail Defense and then consume the Chainmail. If the hit is landed on the left arm and the defender holds a shield, the damage will be absorbed by all the Shield.

==Damage Computation==

Dealt damage depends from the following factors: 

* Weapon Damage
* Weapon Condition
* Strength
* Energy
* Defender AC

===Base Damage===

The Base Damage is randomly selected within the range of damage values for the equipped weapon. With a Strength value of 10, an energy value of 50%, and a weapon condition of 50%, the damage will be randomly selected using a Normal (Gaussian) distribution centered on the mean of the weapon’s damage range. Thus, if the range is 1-7, a 4 will have the best odds of being rolled and a 1 and a 7 would have the worst odds of being rolled. 

* With increasing Strength, Energy and Weapon Condition, the distribution is skewed more toward the maximum of the range. 
* With decreasing Strength, Energy and Weapon Condition, the distribution is skewed more toward the minimum of the range.

[[File:DamageSkewFigure.png|thumb|alt=Figure showing how the Normal curve of damages is skewed depending on Strength, Energy, and Weapon condition.|]]

   Base Damage = max(1, Weapon Damage + (Weapon Damage * Character Strength / 23) )

<u>Example</u>

Attacker hits with a longsword, Computed Weapon Damage is 6. Attacker has strength 18.

   Base Damage = 6 + 6 * (18/23) = 10.7

The Base Damage is then partitioned in Blunt Damage and Cutting Damage accordingly to the weapon Cutting Damage/Blunt Damage. 

<u>Example</u>

   Base Damage of longsword = 10.7. Longsword has Blunt 20% and Cut 80%. Blunt Damage = 2.14 and Cut Damage = 8.56

[[File:Battle Engine-2.png||alt=Base Damage is split in Blunt and Cutting Damage.]]

===Blunt Damage and Armor Consumption===

Blunt damage is the damage inflicted by the inertia of a weapon impacting an opponent and it depends from the choosen weapon. Weapons with high blunt damage are meant to destroy and consume opponent armor.

In addition, blunt damage brings a chance to stun an opponent, which causes the character to:be unable to attack or defend. The chance of stunning an opponent is proportional to the amount of blunt damage inflicted.

Damage and armor consumption are as follow:

If bluntdamage is >= than equipment defense:

   if (hit part is shield)
      bluntdamage = bluntdamage - equipment_defense * 0.4
      cutdamage = 0 // shield absorb all cut damage
   else
      bluntdamage = bluntdamage - equipment_defense
      cutdamage = (cutdamage) -- see formula below.
   consumption = max(1, equipment_defense)/wearfactor

If bluntdamage is < than equipment defense:

   bluntdamage = 0
   consumption = bluntdamage

Wearfactor is always 1 except Special Sets.

<u>Example 1</u>

''Attacker hits with a longsword for a damage 10 and hits the shield with defense 2''

'''BEFORE DEFENSE'''

Bluntdamage = 8.56, Cut Damage = 2.14, Total Damage = 10.7

'''AFTER DEFENSE'''

Bluntdamage = 8.48, Cut Damage = 2.140, Total Damage = 8.48

Damage = 8.48, Shield wears off by 6.56% (bluntdamage - shield defense)

<u>Example 2</u>

''Attacker hits with a longsword for a damage 10.7 and hits the shield with defense 10''

'''BEFORE DEFENSE'''

Bluntdamage = 8.57, Cut Damage = 2.16, Total Damage = 10.7

'''AFTER DEFENSE'''

Bluntdamage = 0, Cut Damage = 0, Total Damage = 0

Damage = 0, Shield wears off by 2.5%

===Stun Effects===

If a character is stunned, he can be stunned for n turns, where the number of turns for which the opponent is stunned depends on opponent constitution:

   Rounds_stunned = f (constitution);

When the player is stunned:

# The player is unable to attack the opponent and to defend himself;
# All of the opponent’s attack swings are successfully dealt;
# Basic damage incurred from the opponent is increased by 150%

===Cutting Damage===

Cutting damage is the damage inflicted by the weapon slicing into flesh of an opponent. Cutting damage causes the initial damage but also bleed damage, which is inflicted each turn until the battle is terminated.

   Cuttingdamage After Defense = cuttingdamage / ( 1 - (equipmentdefense * 3.5)/Armor penetration)

   Bleed Damage = cuttingdamage * 0.05

<u>Example:</u>

''Attacker uses a longsword. Base Damage = 10,7. Cutting Damage = 8.57''

Mario hits Paolo for 8.57 cutting damage. This will result in about 1.714 HP Bleed Damage. 
...
Mario hits Paolo for 8.57 cutting damage. This will result in about 1.714+1.714 = 3.42 HP Bleed Damage. 

===Weapon Consumption===

Weapon is consumed accordingly to the following formula:

If the hit part had an equipment with defense:

   Weapon Consumption = max(1, equipment_defense * 0,5)/wearfactor * 0.25

else

   Weapon Consumption = 1/wearfactor * 0.25

<u>Example 1</u>

''Attacker hits with a longsword for a damage 10 and hits the shield with defense 10''

'''BEFORE DEFENSE'''

Bluntdamage = 8, Cut Damage = 2, Total Damage = 10

'''AFTER DEFENSE'''
Damage = 0, Longsword wears off by 1.25%

<u>Example 2</u>

''Attacker hits with a longsword for a damage 10 and hits the head (no armor)''

'''BEFORE DEFENSE'''

Bluntdamage = 8, Cut Damage = 2, Total Damage = 10

'''AFTER DEFENSE'''

Damage = 10, Longsword wears off by 0.25%
==Wear Factor==
Weapons and Armor is consumed while fighting. Every Weapon and Armor has a Wear Factor that is used to correct the weapon consumption.

   Weapon/Armor Consumption = Consumption * Wear Factor

For example, if a weapon after a succesfull hit it should ne consumed by 0.01  and has a wear factor of 0.5, it will consumed by 0.005.

==The Critical Hit==

A Critical Hit can deal severe damage. Only some Weapons can deliver a Critical Hit. Please check [Weapons] page to find out. The chance of delivering a critical hit will depend from the weapon that the player is using and from the difference between attacker and defender intelligence and dexterity.

If a weapon has a Critical factor of 19x2 it means that to deliver a Critical Hit with that weapon one must score at least 19 on a d20. Once established that a weapon scores a Critical, opponentes Intelligence and Dexterity are evaluated.

{|class='hor-minimalist-a'
|-
!Intel + Dex Diff
!Percentage to score a Critical
!War Hammer<br/> Critical Chance: 5%
!Long Sword<br/> Critical Chance: 10%
!Scimitar<br/> Critical Chance: 15%
!The Punisher<br/> Critical Chance;20%
|- 
|
|
|colspan="4" style="text-align:center"|Combined Percentage
|- 
|0
|
|1%
|1%
|2%
|2%
|- 
|1
|1,00%
|1%
|1%
|2%
|2%
|- 
|2
|1,28%
|1%
|1%
|2%
|2%
|- 
|3
|1,41%
|1%
|1%
|2%
|3%
|- 
|4
|1,51%
|1%
|2%
|2%
|3%
|- 
|5
|1,58%
|1%
|2%
|3%
|3%
|- 
|6
|1,64%
|1%
|2%
|3%
|4%
|- 
|7
|1,70%
|1%
|2%
|3%
|4%
|- 
|8
|1,74%
|1%
|2%
|3%
|4%
|- 
|9
|1,79%
|1%
|2%
|4%
|5%
|- 
|10
|1,83%
|1%
|3%
|4%
|5%
|- 
|11
|1,86%
|1%
|3%
|4%
|5%
|- 
|12
|1,89%
|1%
|3%
|4%
|6%
|- 
|13
|1,92%
|2%
|3%
|5%
|6%
|- 
|14
|1,95%
|2%
|3%
|5%
|7%
|- 
|15
|1,98%
|2%
|4%
|5%
|7%
|- 
|16
|2,00%
|2%
|4%
|6%
|7%
|- 
|17
|2,03%
|2%
|4%
|6%
|8%
|- 
|18
|2,05%
|2%
|4%
|6%
|8%
|- 
|19
|2,07%
|2%
|4%
|6%
|9%
|- 
|20
|2,09%
|2%
|5%
|7%
|9%
|- 
|21
|2,11%
|2%
|5%
|7%
|9%
|- 
|22
|2,13%
|2%
|5%
|7%
|10%
|- 
|23
|2,15%
|3%
|5%
|8%
|10%
|- 
|24
|2,17%
|3%
|5%
|8%
|11%
|- 
|25
|2,19%
|3%
|6%
|8%
|11%
|- 
|26
|2,20%
|3%
|6%
|9%
|12%
|- 
|27
|2,22%
|3%
|6%
|9%
|12%
|- 
|28
|2,23%
|3%
|6%
|9%
|13%
|- 
|29
|2,25%
|3%
|6%
|10%
|13%
|- 
|30
|2,26%
|3%
|7%
|10%
|13%
|- 
|31
|2,28%
|3%
|7%
|10%
|14%
|- 
|32
|2,29%
|4%
|7%
|11%
|14%
|- 
|33
|2,31%
|4%
|7%
|11%
|15%
|- 
|34
|2,32%
|4%
|8%
|11%
|15%
|- 
|35
|2,33%
|4%
|8%
|12%
|16%
|- 
|36
|2,34%
|4%
|8%
|12%
|16%
|- 
|37
|2,36%
|4%
|8%
|13%
|17%
|- 
|38
|2,37%
|4%
|9%
|13%
|17%
|- 
|39
|2,38%
|4%
|9%
|13%
|18%
|- 
|40
|2,39%
|5%
|9%
|14%
|18%
|- 
|41
|2,40%
|5%
|9%
|14%
|19%
|- 
|42
|2,42%
|5%
|10%
|14%
|19%
|- 
|43
|2,43%
|5%
|10%
|15%
|20%
|- 
|44
|2,44%
|5%
|10%
|15%
|20%
|}

==Energy consumption==

Energy is very important in battle (for example you see in the previous formula that impacts the number of consecutive hits). 
The Energy depletion formula will depends on the following variables

'''Negative variables'''
* Weapon Reach
* Weapon Weight
* Armor Encumbrance

'''Positive variables'''
* Constitution

The above variables values will  been normalized as per the following theory: [http://stats.stackexchange.com/questions/70801/how-to-normalize-data-to-0-1-range How to Normalize Data] so thwy will be converted to values between 0 to 1.

{|class='hor-minimalist-a'
!
!colspan="8" style="text-align:center"|weapon reach + weapon weight + armor encumbrance (normalized)
|- 
!rowspan="9" style="text-align:center"|constitution (Normalized)
|
|0
|0,5
|1
|1,5
|2
|2,5
|3
|- 
|0
|1,33
|1,50
|1,67
|1,83
|2,00
|2,17
|2,33
|- 
|0,5
|1,17
|1,33
|1,50
|1,67
|1,83
|2,00
|2,17
|- 
|1
|1,00
|1,17
|1,33
|1,50
|1,67
|1,83
|2,00
|- 
|1,5
|0,83
|1,00
|1,17
|1,33
|1,50
|1,67
|1,83
|- 
|2
|0,67
|0,83
|1,00
|1,17
|1,33
|1,50
|1,67
|- 
|2,5
|0,50
|0,67
|0,83
|1,00
|1,17
|1,33
|1,50
|- 
|3
|0,33
|0,50
|0,67
|0,83
|1,00
|1,17
|1,33
|}

==Armor Encumbrance==

Armor Encumbrance is computed as follows:

   Armor Encumbrance = (Equipped items weight (weapon excluded)/Base_Transportable_Weight

where 

   Base_transportable_weight =  100 - power(abs(  strength  - 23 ), 1.3) Kg

[[Category: General Information]]