Damage Formula - Revision history

Machiavelli: /* Damage-Soaking Formula */

2016-07-06T16:15:32Z

‎Damage-Soaking Formula

Machiavelli: /* Damage-Soaking Formula */

2016-07-06T11:30:01Z

‎Damage-Soaking Formula

Machiavelli: /* Using the Damage Formula to your benefit */

2016-07-06T11:24:09Z

‎Using the Damage Formula to your benefit

Machiavelli: /* Using the Damage Formula to your benefit */

2016-07-06T11:23:37Z

‎Using the Damage Formula to your benefit

Machiavelli: /* Using the Damage Formula to your benefit */

2016-07-06T11:23:16Z

‎Using the Damage Formula to your benefit

Machiavelli: /* Damage Formula */

2016-07-06T11:17:04Z

‎Damage Formula

Machiavelli at 10:24, 6 July 2016

2016-07-06T10:24:30Z

Machiavelli: /* Damage-Soaking Formula */

2016-07-06T07:22:39Z

‎Damage-Soaking Formula

Machiavelli: /* Damage-Soaking Formula */

2016-07-06T07:17:54Z

‎Damage-Soaking Formula

Machiavelli: /* Damage-Soaking Formula */

2016-07-06T07:12:44Z

‎Damage-Soaking Formula

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 Using the equation above, which might be called the '''''Damage-Soaking Formula''''', you can calculate how well certain units are at defending against various attacks.
-For example, if you were an Ascendant mage attacking an verdant mage who was known to be using a heavy HE top with an eye+candle (+10% accuracy for HE, -10% resistances for attacker) defensive assignment, you'll have to decide between using an AA, unicorn, KT, dominion, djinni, or treant top, at which point you could compare their ability to take damage from the HE, which we'll assume to also have a 7% accuracy boost from Nature's Lore and a 3% boost from Sun favor.
+For example, if you were an Ascendant mage attacking an verdant mage who was known to be using a heavy High Elves top with an eye+candle (+10% accuracy for HE, -10% resistances for attacker) defensive assignment, you'll have to decide between using an AA, unicorn, KT, dominion, djinni, or treant top, at which point you could compare their ability to take damage from the HE, which we'll assume to also have a 7% accuracy boost from Nature's Lore and a 3% boost from Sun favor.
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-Usually there will only be 2 or 3 candidates to calculate, and usually the calculations won't be nearly this complicated (lots of accuracy bonuses, candle, two attacks with two attack types each... yuck!), so this was a pretty ridiculous example.  That said, clearly treants are the winners here!
+Usually there will only be 2 or 3 candidates to calculate, and usually the calculations won't be nearly this complicated (lots of accuracy bonuses, candle, two attacks with two attack types each... yuck!), so this was a pretty ridiculous example.  If you don't like this method, you can always use the standard damage formula from above and simply testing how much damage some number of HE (for example, 10,000 HE) would do to various units.  That said, treants are the winners here with AA not too far behind, although whether you want to summon Treants, as a white, for this purpose is up to you!
-When running these calculations, keep in mind that results over 100 should be considered "excellent," results over 65 should be considered "good," and results over 40 should be considered "decent."  A result under 30 is quite bad, but it may be inevitable if your opponent is a green using heavy HE + eye/candle, a red using heavy RD/chims + stun/oil, or any other stacking that yields high damage output.
+Tip: When running these calculations, keep in mind that results over 100 should be considered "excellent," results over 65 should be considered "good," and results over 40 should be considered "decent."  A result under 30 is quite bad, but it may be inevitable if your opponent is a green using heavy HE + eye/candle, a red using heavy RD/chims + stun/oil, or any other stacking that yields high damage output.
 [[Category:Battle Factors]]

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 '''Dominion Ranged-Lightning Soaking Ability''' = 80000 / (0.45 * 0.25 * 0.7 * 39013) = 26.04<br>
 '''Djinni Ranged-Lightning Soaking Ability''' = 7650 / (0.5 * 0.175 * 1 * 1700) = 51.43<br>
-'''Treant Ranged-Paralyze Soaking Ability''' = 4200 / (0.5 * 0.765 * 1 * 423) = 25.99
+'''Treant Ranged-Lightning Soaking Ability''' = 4200 / (0.5 * 0.765 * 1 * 423) = 25.99

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 Using the damage formula, you can know how damage is calculated and therefore determine the easiest ways to increase it.
-For example, the damage formula will demonstrate that getting a level 17 warlord, which will increase your damage on a siege by roughly 16% (assuming Sun favor and that some of your units won't suffer the siege attack's 10% accuracy penalty), is far better than getting a level 17 veteran whose level 9 valor increases damage by only 12% on primary attacks (if even that; see, for example, [[Plant_growth#Usage_Tips]]) and not at all on secondary attacks.  (See: [[Valor_versus_Tactics|Valor vs. Tactics]].) This formula will also demonstrate that Sun favor's 3% accuracy is also slightly superior to Lucifer favor's 10% AP increase.
+For example, the damage formula will demonstrate that getting a level 17 warlord, which will increase your damage on a siege by roughly 16% (assuming Sun favor and that some of your units won't suffer the siege attack's 10% accuracy penalty), is far better than getting a level 17 veteran whose level 9 valor increases damage by only 12% on primary attacks (if even that; see, for example, [[Plant_growth#Usage_Tip]]) and not at all on secondary attacks.  (See: [[Valor_versus_Tactics|Valor vs. Tactics]].) This formula will also demonstrate that Sun favor's 3% accuracy is also slightly superior to Lucifer favor's 10% AP increase.
 Perhaps most importantly, this formula will allow you to decide what battle spells and items you should be using.  For example, using candle against 90% melee-resistant Titans will increase the damage done to them by Treant by 100%, whereas using Potion of Valor would produce much less significant gains.  The same sorts of comparisons can be used when a green is deciding between using Rust Armor, Sword of Light, Flame Blade, or Eye of the Eagle, when a nether is deciding between Foul Water, Battle Lust, or Flame Blade, or when a Phantasm mage is deciding between Double Time or Sleep.

@@ Line 32: / Line 32: @@
 Using the damage formula, you can know how damage is calculated and therefore determine the easiest ways to increase it.
-For example, the damage formula will demonstrate that getting a level 17 warlord, which will increase your damage on a siege by roughly 16% (assuming Sun favor and that some of your units won't suffer the siege attack's 10% accuracy penalty), is far better than getting a level 17 veteran whose level 9 valor increases damage by only 12% on primary attacks (if even that; see, for example, [[Plant_growth#Usage_Tipless]]) and not at all on secondary attacks.  (See: [[Valor_versus_Tactics|Valor vs. Tactics]].) This formula will also demonstrate that Sun favor's 3% accuracy is also slightly superior to Lucifer favor's 10% AP increase.
+For example, the damage formula will demonstrate that getting a level 17 warlord, which will increase your damage on a siege by roughly 16% (assuming Sun favor and that some of your units won't suffer the siege attack's 10% accuracy penalty), is far better than getting a level 17 veteran whose level 9 valor increases damage by only 12% on primary attacks (if even that; see, for example, [[Plant_growth#Usage_Tips]]) and not at all on secondary attacks.  (See: [[Valor_versus_Tactics|Valor vs. Tactics]].) This formula will also demonstrate that Sun favor's 3% accuracy is also slightly superior to Lucifer favor's 10% AP increase.
 Perhaps most importantly, this formula will allow you to decide what battle spells and items you should be using.  For example, using candle against 90% melee-resistant Titans will increase the damage done to them by Treant by 100%, whereas using Potion of Valor would produce much less significant gains.  The same sorts of comparisons can be used when a green is deciding between using Rust Armor, Sword of Light, Flame Blade, or Eye of the Eagle, when a nether is deciding between Foul Water, Battle Lust, or Flame Blade, or when a Phantasm mage is deciding between Double Time or Sleep.

@@ Line 32: / Line 32: @@
 Using the damage formula, you can know how damage is calculated and therefore determine the easiest ways to increase it.
-For example, the damage formula will demonstrate that getting a level 17 warlord, which will increase your damage on a siege by roughly 16% (assuming Sun favor and that some of your units won't suffer the siege attack's 10% accuracy penalty), is far better than getting a level 17 veteran whose level 9 valor increases damage by only 12% on primary attacks (if not less) and not at all on secondary attacks.  This formula will also demonstrate that Sun favor's 3% accuracy is also slightly superior to Lucifer favor's 10% AP increase.
+For example, the damage formula will demonstrate that getting a level 17 warlord, which will increase your damage on a siege by roughly 16% (assuming Sun favor and that some of your units won't suffer the siege attack's 10% accuracy penalty), is far better than getting a level 17 veteran whose level 9 valor increases damage by only 12% on primary attacks (if even that; see, for example, [[Plant_growth#Usage_Tipless]]) and not at all on secondary attacks.  (See: [[Valor_versus_Tactics|Valor vs. Tactics]].) This formula will also demonstrate that Sun favor's 3% accuracy is also slightly superior to Lucifer favor's 10% AP increase.
 Perhaps most importantly, this formula will allow you to decide what battle spells and items you should be using.  For example, using candle against 90% melee-resistant Titans will increase the damage done to them by Treant by 100%, whereas using Potion of Valor would produce much less significant gains.  The same sorts of comparisons can be used when a green is deciding between using Rust Armor, Sword of Light, Flame Blade, or Eye of the Eagle, when a nether is deciding between Foul Water, Battle Lust, or Flame Blade, or when a Phantasm mage is deciding between Double Time or Sleep.

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 *'''UnitR''' is the unit receiving the attack
 *'''UnitA_attack_power''' may be modified by valor, berserk, battle spells, battle items, etc.
-*'''accuracy''' is Unit A's accuracy in attacking UnitR; base [[accuracy]] is 0.3 on defense and regular attacks and 0.2 on sieges, but often modified by [[Sun]] favor, accuracy-related unit abilities (fear, swift, beauty, marksmanship, clumsiness), enchantments, battle spells, heroes, etc.
+*'''accuracy''' is Unit A's accuracy in attacking UnitR; base [[accuracy]] is 0.3 on defense and regular attacks and 0.2 on sieges, but often modified by [[Sun]] favor, accuracy-related unit abilities (fear, swift, beauty, marksmanship, clumsiness), enchantments, battle spells, heroes, etc.;  all of these factors are added and subtracted together
 *'''UnitA_damage_modifier''' is typically a random number between 0.2 and 0.8, but the average of 0.5 is usually used
 *'''UnitR_resistance''' is the resistance of UnitR to the [[Attack Type|attack type]] of UnitA's attack; if there is more than one attack type (e.g. FIRE BREATH), the average of these attack types is used; often modified by battle spells, items, hero abilities (mind shield, ice shield, unholy aura), enchantments (Black Sabbath), and uniques
-*'''UnitR_Defensive_Abilities''' would be non-accuracy-related unit abilities like [[Healing_(Unit_Ability)|healing]] (0.7), [[scales]] (0.75), [[regeneration]] (0.8), [[charm]] (0.5), [[large shield]] (0.5 if UnitA's attack is ranged), [[Weakness_To_Attacktype|weakness]] (2.0), etc., which would all be multiplied together
+*'''UnitR_Defensive_Abilities''' would be non-accuracy-related unit abilities like [[Healing_(Unit_Ability)|healing]] (0.7), [[scales]] (0.75), [[regeneration]] (0.8), [[charm]] (0.5 if the attack is a primary attack), [[large shield]] (0.5 if UnitA's attack is ranged), [[Weakness_To_Attacktype|weakness]] (2.0 if the attack contains the attack type matching the weakness), etc., which would all be multiplied together
 ===Alternate Version of Damage Formula===

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 *'''UnitA_damage_modifier''' is typically a random number between 0.2 and 0.8, but the average of 0.5 is usually used
 *'''UnitR_resistance''' is the resistance of UnitR to the [[Attack Type|attack type]] of UnitA's attack; if there is more than one attack type (e.g. FIRE BREATH), the average of these attack types is used; often modified by battle spells, items, hero abilities (mind shield, ice shield, unholy aura), enchantments (Black Sabbath), and uniques
-*'''UnitR_Defensive_Abilities''' would be non-accuracy-related unit abilities like [[Healing_(Unit_Ability)|healing]] (0.7), [[scales]] (0.75), [[regeneration]] (0.8), [[charm]] (0.5), [[large shield]] (0.5), [[Weakness_To_Attacktype|weakness]] (2.0), etc., which would all be multiplied together
+*'''UnitR_Defensive_Abilities''' would be non-accuracy-related unit abilities like [[Healing_(Unit_Ability)|healing]] (0.7), [[scales]] (0.75), [[regeneration]] (0.8), [[charm]] (0.5), [[large shield]] (0.5 if UnitA's attack is ranged), [[Weakness_To_Attacktype|weakness]] (2.0), etc., which would all be multiplied together
 ===Alternate Version of Damage Formula===
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 =Damage-Soaking Formula=
 '''UnitR_Soaking_Ability =  UnitR_hitpoints / (accuracy * (1 - (UnitR_resistance/100)) * UnitR_defensive_abilities * UnitR_netpower)
-*'''UnitR_defensive_abilities''' -- although it may seem counter-intuitive, this factor is on the bottom so that we can use the exact same coefficients as above, e.g. 0.5 for large shield, 0.7 for healing, 2.0 for weakness, etc.;  keep in mind that dividing by 0.5, like in the case of large shield or charm, is the same as multiplying the numerator (hitpoints) by 2
+*'''UnitR_defensive_abilities''' -- although it may seem counter-intuitive, this factor is on the bottom so that we can use the exact same coefficients as above, e.g. 0.5 for large shield (if UnitA's attack is ranged), 0.7 for healing, 2.0 for weakness, etc.;  keep in mind that dividing by 0.5, like in the case of large shield or charm, is the same as multiplying the numerator (hitpoints) by 2

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-Dropping the clear losers, we have...<br>
+Dropping the clear losers, and now weighting them in respect to their the proportions of HE damage output, we have...<br>
 '''Archangel Soaking Ability''' = 28.22 * (13/20.5) + 52.91 * (7.5/20.5) = 37.25<br>
 '''Djinni Soaking Ability''' = 21.18 * (13/20.5) + 51.43 * (7.5/20.5) = 32.25<br>