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| *Fighters {{GreenPlane}} are not subject to AA fire from ships. | | *Fighters {{GreenPlane}} are not subject to AA fire from ships. |
| *The ship performing AA fire is not necessarily the same ship that the bomber will attack; the ship performing AA fire may not even be a surface ship. | | *The ship performing AA fire is not necessarily the same ship that the bomber will attack; the ship performing AA fire may not even be a surface ship. |
− | The defending ship's '''weighted anti-air value''' will be used in calculations for two types of anti-air shootdowns: ''percentage shootdown'' and ''fixed shootdown''. | + | The defending ship's '''weighted anti-air value''' and the fleet's total '''fleet anti-air value'''' are calculated and used in the formula for the two types of anti-air shootdowns: ''percentage shootdown'' and ''fixed shootdown''. |
| + | *Fleet anti-air value is only used in calculation for fixed shootdown. |
| *Both shootdowns have 50% chance to succeed; failing means no planes are shot down for that part of the calculation. | | *Both shootdowns have 50% chance to succeed; failing means no planes are shot down for that part of the calculation. |
| *Percentage shootdown will be done prior to anti-air cut-in and fixed shootdown calculation. | | *Percentage shootdown will be done prior to anti-air cut-in and fixed shootdown calculation. |
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| | | |
| ''There was a bug causing the formation anti-air modifier and fleet anti-air bonus to not function; this was fixed on June 26, 2015.''<br> | | ''There was a bug causing the formation anti-air modifier and fleet anti-air bonus to not function; this was fixed on June 26, 2015.''<br> |
− | Fleet Anti-Air Bonus is currently suggested to only apply to ''fixed shootdown'' calculation.
| |
| | | |
| For each ship, the formula for its weighted anti-air value is calculated as follows: | | For each ship, the formula for its weighted anti-air value is calculated as follows: |
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| |- | | |- |
| ! scope="col" style="text-align:center;" |Equipment Type | | ! scope="col" style="text-align:center;" |Equipment Type |
− | ! scope="col" style="text-align:center;" |Equipment Modifier | + | ! scope="col" style="text-align:center;" |Equipment Multiplier |
| |- | | |- |
| | High-Angle Gun Mount {{GreenGunDP}}<br>(Both Main and secondary) | | | High-Angle Gun Mount {{GreenGunDP}}<br>(Both Main and secondary) |
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| | Anti-Aircraft Fire Director {{AntiAircraftFireDirector}} | | | Anti-Aircraft Fire Director {{AntiAircraftFireDirector}} |
| | style="text-align:center;" |x4 | | | style="text-align:center;" |x4 |
| + | |} |
| + | |
| + | The fleet's fleet anti-air value is calculated as follows: |
| + | <center><math>\text {Fleet Anti-Air Value} = \text {Floor( Formation Modifier} \times \sum^\text{All ships} \text{Ship's Fleet Anti-Air Bonus)} \times 2,</math></center> |
| + | where |
| + | <center><math>\text {Ship's Fleet Anti-Air Bonus} = \text {Floor( }\sum^\text{All equipment slots} \text {Equipment's Anti-Air Value} \times \text{Equipment Modifier )}</math></center> |
| + | The Formation Modifier and the Equipment Modifier are shown below: |
| + | |
| + | {| class="wikitable" |
| + | |- |
| + | ! scope="col" style="text-align:center;" |Formation |
| + | ! scope="col" style="text-align:center;" |Formation Modifier |
| + | |- |
| + | | Line Ahead<br>Echelon<br>Line Abreast |
| + | | style="text-align:center;" |x0.77 |
| + | |- |
| + | | Double Line |
| + | | style="text-align:center;" |x0.91 |
| + | |- |
| + | | Diamond |
| + | | style="text-align:center;" |x1.2 |
| + | |} |
| + | |
| + | {| class="wikitable" |
| + | |- |
| + | ! scope="col" style="text-align:center;" |Equipment Type |
| + | ! scope="col" style="text-align:center;" |Equipment Modifier |
| + | |- |
| + | | High-Angle Gun Mount {{GreenGunDP}}<br>Anti-Aircraft Fire Director {{AntiAircraftFireDirector}} |
| + | | style="text-align:center;" |x0.35 |
| + | |- |
| + | | All other guns {{RedGunLight}}{{RedGunMedium}}{{RedGunHeavy}}{{YellowGun}}<br>Autocannon {{GreenGunMG}} |
| + | | style="text-align:center;" |x6 |
| + | |- |
| + | | Air RADAR {{Radar}} |
| + | | style="text-align:center;" |x0.4 |
| + | |- |
| + | | [[Type 3 Shell]] {{GreenAmmo}} |
| + | | style="text-align:center;" |x0.6 |
| |} | | |} |
| | | |
| Multipliers for equipment not listed are not confirmed at this time. | | Multipliers for equipment not listed are not confirmed at this time. |
| | | |
− | <math>\text {Percentage Shootdown (in percent)} = \text {Weighted Anti-Air Value} \div 400</math><br>
| + | <math>\text {Percentage Shootdown (in # of planes)} = \text{Floor(Weighted Anti-Air Value} \times 0.9 \text{)} \div 360 \times \text{Number of Planes in Slot}</math><br> |
− | *Alternative suggestion of <math>\text {Percentage Shootdown (in # of planes)} = \text{Floor(Weighted Anti-Air Value} \times 0.9 \text{)} \div 360 \times \text{Number of Planes in Slot}</math> exists)
| + | <math>\text {Fixed Shootdown (in # of planes)} = \text {Floor[(Weighted Anti-Air Value + Fleet Anti-Air Value)} \div 10 \text{]}</math> |
− | <math>\text {Fixed Shootdown (in # of planes)} = \text {Floor(Weighted Anti-Air Value} \div 10 \text{)}</math> | |
| | | |
| ====Example of shootdown calculation==== | | ====Example of shootdown calculation==== |
− | [[Akizuki]] (Innate AA value of 116, equipped with two [[10cm Twin High-angle Mount + Anti-Aircraft Fire Director|10cm HA+FD *+6]] and an [[Type 13 Air RADAR Kai]]) is defending against [[Aircraft Carrier Princess]]'s torpedo bomber slot (with 56 planes). Ignoring all other contributing factors such as Anti-Air Cut-In, fighter combat, and bonus from other members in fleet,<br> | + | [[Akizuki]] (Innate AA value of 116, equipped with two [[10cm Twin High-angle Mount + Anti-Aircraft Fire Director|10cm HA+FD *+6]] and an [[Type 13 Air RADAR Kai]]) is defending against [[Aircraft Carrier Princess]]'s torpedo bomber slot (with 56 planes). Assuming the formation is Line Ahead and no other AA factors such as Anti-Air Cut-In, fighter combat, and bonus from other members in fleet,<br> |
| <math>\text {Akizuki's Weighted AA Value} = 116 + 4 \times (10 + 0.7 \times \sqrt{6} ) \times 2 + 3 \times 4 = 221</math><br> | | <math>\text {Akizuki's Weighted AA Value} = 116 + 4 \times (10 + 0.7 \times \sqrt{6} ) \times 2 + 3 \times 4 = 221</math><br> |
| + | <math>\text {Akizuki's Fleet AA Bonus} = \text{Floor(} 10 \times 0.35 \times 2 + 4 \times 0.4 \text{)}= 8</math><br> |
| + | <math>\text {Fleet AA Value} = \text {Floor(} 0.77 \times 8 \text{)} \times 2 = 12</math> |
| + | |
| Thus, the values for the shootdown are calculated as follows:<br> | | Thus, the values for the shootdown are calculated as follows:<br> |
− | <math>\text {Akizuki's percentage shootdown} = 221 \div 400 = 0.55 = 55 \%</math><br> | + | <math>\text {Akizuki's percentage shootdown} = 221 \times 0.9 \div 360 \times 56 = 30</math><br> |
− | <math>\text {Akizuki's fixed shootdown} = \text{Floor(} 221 \div 10 \text{)} = 22</math><br> | + | <math>\text {Akizuki's fixed shootdown} = \text{Floor[(} 221 + 12 \text{)} \div 10 \text{]} = 23</math><br> |
| The shootdown takes place in the order of percentage, then fixed, then guaranteed, so there are 4 possible outcomes: | | The shootdown takes place in the order of percentage, then fixed, then guaranteed, so there are 4 possible outcomes: |
| {| class="wikitable" | | {| class="wikitable" |
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| |- | | |- |
| | Both Percentage and Fixed Shootdown | | | Both Percentage and Fixed Shootdown |
− | | style="text-align:center;" |56x50% (percentage) + 22 (fixed) + 1 (guaranteed)<br>= 30 + 22 + 1 = 53 | + | | style="text-align:center;" |30 (percentage) + 23 (fixed) + 1 (guaranteed) = 54 |
− | | style="text-align:center;" |3 | + | | style="text-align:center;" |2 |
| |- | | |- |
| | Percentage Shootdown Only | | | Percentage Shootdown Only |
− | | style="text-align:center;" |56x50% (percentage) + 1 (guaranteed)<br>= 30 + 1 = 31 | + | | style="text-align:center;" |30 (percentage) + 1 (guaranteed) = 31 |
| | style="text-align:center;" |25 | | | style="text-align:center;" |25 |
| |- | | |- |
| | Fixed Shootdown Only | | | Fixed Shootdown Only |
− | | style="text-align:center;" |22 (fixed) + 1 (guaranteed) = 23 | + | | style="text-align:center;" |23 (fixed) + 1 (guaranteed) = 24 |
− | | style="text-align:center;" |33 | + | | style="text-align:center;" |32 |
| |- | | |- |
| | Neither | | | Neither |