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Damage Reduction (view source)

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{{V|1.0.3}}
{{V}}
{{Main|Reference=Combat}}
{{Main|Reference=Combat}}
'''{{PAGENAME}}''' is a stat that does exactly what it suggests: It reduces the amount of damage taken by a player or monster. Unlike other combat numbers that are complex calculations, a player's Damage Reduction is determined by simply adding together all Damage Reduction bonuses the player has, whether from equipment or something else like a {{ItemIcon|Damage Reduction Potion|img=Damage Reduction Potion I}} or {{PetIcon|Leonardo}}.
'''{{PAGENAME}}''' (commomly referred to as [[Glossary|DR]]) is a stat that does exactly what it suggests: It reduces the amount of damage taken by a player or monster. Unlike other combat numbers that are complex calculations, a player's Damage Reduction is determined by simply adding together all Damage Reduction bonuses the player has, whether from equipment or something else like a {{Icon|Damage Reduction Potion}} or {{PetIcon|Leonardo}}.


Many monsters have Damage Reduction modifiers that affect their defensive stats.  
Many monsters have Damage Reduction modifiers that affect their defensive stats.  


==Mechanics==
==Mechanics==
Whenever a player or monster with Damage Reduction greater than 0% would receive damage, instead the damage they take is equal to:
The player's damage reduction while engaged in combat can be calculated as their damage reduction % outside of combat ('Base Damage Reduction'), less any penalties that apply when in combat (such as the Intimidation passive effect present on many {{TotH}} [[monsters]]), all multiplied by the [[Combat Triangle]] damage reduction modifier. Damage reduction has a maximum value of 95% and a minimum of 0%, where the in-combat damage reduction can be calculated as:


<math>\text{Damage Taken} = \text{Base Damage} \times \left (1 - \text{Damage Reduction} \right )</math>
<math>\text{Damage Reduction %} = \min \Big( \max \Big( \Big\lfloor \left ( \text{Base Damage Reduction %} - \text{In-Combat Penalties} \right ) \times \text{Combat Triangle Modifier} \Big\rfloor , 0 \Big), 95 \Big)</math>


Note that the [[Combat Triangle]] will affect how much damage reduction the player has if they are using a different style from the monster.
Where: <math> \left \lfloor x \right \rfloor </math> is the [https://en.wikipedia.org/wiki/Floor_and_ceiling_functions floor function].
 
Whenever a player or monster with Damage Reduction greater than 0% would receive damage, the damage taken is reduced. This reduced damage can be calculated as follows:
 
<math>\text{Damage Taken} = \left \lfloor \text{Base Damage} \times \left ( 1 - \frac{\text{Damage Reduction %}}{100} \right ) \right \rfloor</math>


==Damage Reduction Modifiers==
==Damage Reduction Modifiers==
Line 16: Line 20:


==Melee Damage Reduction Equipment==
==Melee Damage Reduction Equipment==
UNDER CONSTRUCTION[[Category:Manual Tables]]
{{EquipmentDRTable|Melee}}
{| class="wikitable sortable" style="width: 90%;"
|-
! style="width: 14%"| Item Set
! style="width: 4%"| DR% Each
! style="width: 12%"|Helmet
! style="width: 12%"|Platebody
! style="width: 12%"|Platelegs
! style="width: 12%"|Boots
! style="width: 12%"|Gloves
! style="width: 12%"|Shield
|-
| (G) Steel Armour
| style="text-align:center;"|1%
| {{ItemIcon|(G) Steel Helmet}}
| {{ItemIcon|(G) Steel Platebody}}
| {{ItemIcon|(G) Steel Platelegs}}
| {{ItemIcon|(G) Steel Boots}}
| -
| {{ItemIcon|(G) Steel Shield}}
|-
| (G) Black Armour
| style="text-align:center;"|2%
| {{ItemIcon|(G) Black Helmet}}
| {{ItemIcon|(G) Black Platebody}}
| {{ItemIcon|(G) Black Platelegs}}
| {{ItemIcon|(G) Black Boots}}
| -
| {{ItemIcon|(G) Black Shield}}
|-
| (G) Mithril Armour
| style="text-align:center;"|3%
| {{ItemIcon|(G) Mithril Helmet}}
| {{ItemIcon|(G) Mithril Platebody}}
| {{ItemIcon|(G) Mithril Platelegs}}
| {{ItemIcon|(G) Mithril Boots}}
| -
| {{ItemIcon|(G) Mithril Shield}}
|-
| (G) Adamant Armour
| style="text-align:center;"|4%
| {{ItemIcon|(G) Adamant Helmet}}
| {{ItemIcon|(G) Adamant Platebody}}
| {{ItemIcon|(G) Adamant Platelegs}}
| {{ItemIcon|(G) Adamant Boots}}
| -
| {{ItemIcon|(G) Adamant Shield}}
|-
| (G) Rune Armour
| style="text-align:center;"|5%
| {{ItemIcon|(G) Rune Helmet}}
| {{ItemIcon|(G) Rune Platebody}}
| {{ItemIcon|(G) Rune Platelegs}}
| {{ItemIcon|(G) Rune Boots}}
| -
| {{ItemIcon|(G) Rune Shield}}
|-
| (G) Dragon Armour
| style="text-align:center;"|6%
| {{ItemIcon|(G) Dragon Helmet}}
| {{ItemIcon|(G) Dragon Platebody}}
| {{ItemIcon|(G) Dragon Platelegs}}
| {{ItemIcon|(G) Dragon Boots}}
| -
| {{ItemIcon|(G) Dragon Shield}}
|-
| Slayer (Elite)
| style="text-align:center;"|4%
| {{ItemIcon|Slayer Helmet (Elite)}}
| {{ItemIcon|Slayer Platebody (Elite)}}
| -
| -
| -
| -
|-
| Slayer (Master)
| style="text-align:center;"|6%
| {{ItemIcon|Slayer Helmet (Master)}}
| {{ItemIcon|Slayer Platebody (Master)}}
| -
| -
| -
| -
|-
| (G) Ancient Armour
| style="text-align:center;"|7%
| {{ItemIcon|(G) Ancient Helmet}}
| {{ItemIcon|(G) Ancient Platebody}}
| {{ItemIcon|(G) Ancient Platelegs}}
| -
| -
| {{ItemIcon|(G) Ancient Shield}}
|-
| Ragnar God Armour
| style="text-align:center;"|7%
| {{ItemIcon|Ragnar God Helmet}}
| {{ItemIcon|Ragnar God Platebody}}
| {{ItemIcon|Ragnar God Platelegs}}
| {{ItemIcon|Ragnar God Boots}}
| {{ItemIcon|Ragnar God Gloves}}
| -
|-
| Terran God Armour
| style="text-align:center;"|8%
| {{ItemIcon|Terran God Helmet}}
| {{ItemIcon|Terran God Platebody}}
| {{ItemIcon|Terran God Platelegs}}
| {{ItemIcon|Terran God Boots}}
| {{ItemIcon|Terran God Gloves}}
| -
|-
|}


==Ranged Damage Reduction Equipment==
==Ranged Damage Reduction Equipment==
UNDER CONSTRUCTION
{{EquipmentDRTable|Ranged}}
{| class="wikitable sortable" style="width: 85%;"
|-
! Item Set
! style="width: 4%"| DR% Each
! Helmet
! Platebody
! Platelegs
! Boots
! Gloves
! Shield
|-
| (U) Green D-hide
| 2%
| -
| {{ItemIcon|(U) Green D-hide Body}}
| {{ItemIcon|(U) Green D-hide Chaps}}
| -
| {{ItemIcon|(U) Green D-hide Vambraces}}
| {{ItemIcon|(U) Green D-hide Shield}}
|-
| (U) Blue D-hide
| 3%
| -
| {{ItemIcon|(U) Blue D-hide Body}}
| {{ItemIcon|(U) Blue D-hide Chaps}}
| -
| {{ItemIcon|(U) Blue D-hide Vambraces}}
| {{ItemIcon|(U) Blue D-hide Shield}}
|-
| (U) Red D-hide
| 4%
| -
| {{ItemIcon|(U) Red D-hide Body}}
| {{ItemIcon|(U) Red D-hide Chaps}}
| -
| {{ItemIcon|(U) Red D-hide Vambraces}}
| {{ItemIcon|(U) Red D-hide Shield}}
|-
| (U) Black D-hide
| 5%
| -
| {{ItemIcon|(U) Black D-hide Body}}
| {{ItemIcon|(U) Black D-hide Chaps}}
| -
| {{ItemIcon|(U) Black D-hide Vambraces}}
| {{ItemIcon|(U) Black D-hide Shield}}
|-
| (U) Ancient D-hide
| 6%
| -
| {{ItemIcon|(U) Ancient D-hide Body}}
| {{ItemIcon|(U) Ancient D-hide Chaps}}
| -
| {{ItemIcon|(U) Ancient D-hide Vambraces}}
| {{ItemIcon|(U) Ancient D-hide Shield}}
|-
| Ice
| 3%
| {{ItemIcon|Ice Helmet}}
| {{ItemIcon|Ice Platebody}}
| {{ItemIcon|Ice Platelegs}}
| {{ItemIcon|Ice Boots}}
| -
| {{ItemIcon|Ice Shield}}
|-
| Slayer (Elite)
| 4%
| {{ItemIcon|Slayer Cowl (Elite)}}
| {{ItemIcon|Slayer Leather Body (Elite)}}
| -
| -
| -
| -
|-
| Slayer (Master)
| 6%
| {{ItemIcon|Slayer Cowl (Master)}}
| {{ItemIcon|Slayer Leather Body (Master)}}
| -
| -
| -
| -
|-
| Aeris God Armour
| 8%
| {{ItemIcon|Aeris God Helmet}}
| {{ItemIcon|Aeris God Platebody}}
| {{ItemIcon|Aeris God Platelegs}}
| {{ItemIcon|Aeris God Boots}}
| {{ItemIcon|Aeris God Gloves}}
| -
|-
|}


==Mage Damage Reduction Equipment==
==Mage Damage Reduction Equipment==
UNDER CONSTRUCTION
{{EquipmentDRTable|Magic}}
{| class="wikitable sortable" style="width: 85%;"
|-
! Item Set
! style="width: 4%"| DR% Each
! Helmet
! Platebody
! Platelegs
! Boots
! Gloves
! Shield
|-
| Green Wizard
| 1%
| {{ItemIcon|Green Wizard Hat}}
| {{ItemIcon|Green Wizard Robes}}
| {{ItemIcon|Green Wizard Bottoms}}
| {{ItemIcon|Green Wizard Boots}}
| -
| -
|-
| Blue Wizard
| 2%
| {{ItemIcon|Blue Wizard Hat}}
| {{ItemIcon|Blue Wizard Robes}}
| {{ItemIcon|Blue Wizard Bottoms}}
| {{ItemIcon|Blue Wizard Boots}}
| -
| -
|-
| Red Wizard
| 3%
| {{ItemIcon|Red Wizard Hat}}
| {{ItemIcon|Red Wizard Robes}}
| {{ItemIcon|Red Wizard Bottoms}}
| {{ItemIcon|Red Wizard Boots}}
| -
| -
|-
| Black Wizard
| 4%
| {{ItemIcon|Black Wizard Hat}}
| {{ItemIcon|Black Wizard Robes}}
| {{ItemIcon|Black Wizard Bottoms}}
| {{ItemIcon|Black Wizard Boots}}
| -
| -
|-
| Miolite
| 2%
| {{ItemIcon|Miolite Helmet}}
| {{ItemIcon|Miolite Platebody}}
| {{ItemIcon|Miolite Platelegs}}
| {{ItemIcon|Miolite Boots}}
| -
| {{ItemIcon|Miolite Shield}}
|-
| Elemental Adept Wizard
| 4%
| {{ItemIcon|Fire Adept Wizard Hat}}
| {{ItemIcon|Fire Adept Wizard Robes}}
| {{ItemIcon|Fire Adept Wizard Robes}}
| {{ItemIcon|Fire Adept Wizard Robes}}
| -
| -
|-
| Elemental Expert Wizard
| 5%
| {{ItemIcon|Fire Expert Wizard Hat}}
| {{ItemIcon|Fire Expert Wizard Robes}}
| {{ItemIcon|Fire Expert Wizard Robes}}
| {{ItemIcon|Fire Expert Wizard Robes}}
| -
| -
|-
| Ancient Wizard
| 5%
| {{ItemIcon|Ancient Wizard Hat}}
| {{ItemIcon|Ancient Wizard Robes}}
| {{ItemIcon|Ancient Wizard Bottoms}}
| {{ItemIcon|Ancient Wizard Boots}}
| -
| -
|-
| Slayer Robes (Elite)
| 4%
| {{ItemIcon|Slayer Cowl (Elite)}}
| {{ItemIcon|Slayer Wizard Hat (Elite)}}
| -
| -
| -
| -
|-
| Slayer Robes (Master)
| 6%
| {{ItemIcon|Slayer Cowl (Master)}}
| {{ItemIcon|Slayer Wizard Hat (Master)}}
| -
| -
| -
| -
|-
| Glacia God Armour
| 8%
| {{ItemIcon|Glacia God Helmet}}
| {{ItemIcon|Glacia God Platebody}}
| {{ItemIcon|Glacia God Platelegs}}
| {{ItemIcon|Glacia God Boots}}
| {{ItemIcon|Glacia God Gloves}}
| -
|-
|}


==Monsters with Damage Reduction==
==Other Damage Reduction Equipment==
TO BE CREATED
{{EquipmentDRTable|Other}}
<!-- No such modifier exists
==Penetrating Enemy Damage Reduction==
{{ModifierTable|EnemyDamageReduction|Enemy Damage Reduction}}
-->
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