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(de facto standard is now moving to F33)
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Currently, there are three known purposes for Line of Sight (LoS):
 
Currently, there are three known purposes for Line of Sight (LoS):
 
* Increasing success rate in the detection phase, which allows participation in aerial combat.
 
* Increasing success rate in the detection phase, which allows participation in aerial combat.
* A higher '''Fleet total LoS''' (FLoS, or known as '''Simple LoS''') [http://kancolle.wikia.com/wiki/Artillery_Spotting#The_Trigger_Chance_of_Artillery_Spotting:_.28Beta_ver..29 positively correlates] with the '''trigger chance of [http://kancolle.wikia.com/wiki/Combat#Combat_Equipment_Setups artillery spotting]''' for a ship's double/cut-in attack in day battle.
+
* A higher '''Fleet total LoS''' (FLoS, or known as '''Simple LoS''') [[Artillery_Spotting#The_Trigger_Chance_of_Artillery_Spotting:_(Beta_ver.)|positively correlates]] with the '''trigger chance of [[Combat#Combat_Equipment_Setups|artillery spotting]]''' for a ship's double/cut-in attack in day battle.
 
** Fleet total LoS is simply the summation of all LoS stats from your ships, including bonuses from the equipment.
 
** Fleet total LoS is simply the summation of all LoS stats from your ships, including bonuses from the equipment.
 
* '''Effective LoS '''(eLoS), which allows the fleet to '''reach a specific node''' (usually a pre-boss or boss node) instead of being diverted to a dead end.
 
* '''Effective LoS '''(eLoS), which allows the fleet to '''reach a specific node''' (usually a pre-boss or boss node) instead of being diverted to a dead end.
** Effective LoS has been employed in many [[Events|Event Maps]] since [[Spring 2014 Event]], Extra Operation Maps (including 1-6, 2-5, 3-5, 4-5), and some [[World 6: 中部海域|World 6]] Maps.
+
** Effective LoS has been employed in many [[Events|Event Maps]] since [[Spring 2014 Event]], Extra Operation Maps (including 1-6, 2-5, 3-5, 4-5), and some [[World 6]] Maps.
** There are special formula being used to calculate eLoS. As a general consensus, LoS bonuses from equipment (especially reconnaissance seaplanes) are more important than an individual ship's LoS stats.
+
** There are special formulas being used to calculate eLoS. As a general consensus, LoS bonuses from equipment (especially reconnaissance seaplanes) are more important than an individual ship's LoS stats.
** See sections below for the current established formula on how to calculate eLoS.
+
** See sections below for the currently established formula on how to calculate eLoS.
 
*Reconnaissance Seaplane equipped on a light cruiser with no plane slots can contribute to LoS.<ref>http://kancolle.aemedia.org/forum.php?mod=viewthread&tid=44&extra=page%3D1</ref> But if it is equipped onto ships and then shot down, it cannot contribute to LoS check performed afterward.
 
*Reconnaissance Seaplane equipped on a light cruiser with no plane slots can contribute to LoS.<ref>http://kancolle.aemedia.org/forum.php?mod=viewthread&tid=44&extra=page%3D1</ref> But if it is equipped onto ships and then shot down, it cannot contribute to LoS check performed afterward.
   
 
== Effective Line of Sight calculation method ==
 
== Effective Line of Sight calculation method ==
  +
<!--
 
=== 2-5 old formula ===
 
=== 2-5 old formula ===
 
To avoid confusion, content here is archived into [[Line_of_Sight/Deprecated_Formula#Effective_Line_of_Sight_.282-5_old_formula.29|a sub-page]] which only serves as a reference. Note that the values obtained from the 2-5 old formula are not compatible with those from 2-5 new/fall formula nor the simplified formula.
 
To avoid confusion, content here is archived into [[Line_of_Sight/Deprecated_Formula#Effective_Line_of_Sight_.282-5_old_formula.29|a sub-page]] which only serves as a reference. Note that the values obtained from the 2-5 old formula are not compatible with those from 2-5 new/fall formula nor the simplified formula.
   
=== 2-5 fall formula===
+
=== 2-5 old formula ===
  +
Deprecated, click [[Line_of_Sight/Deprecated_Formula#2-5_fall_formula|this link]] for details.
With the advent of the 2014 Fall Event, a new formula for Effective LoS has been devised to account for inconsistencies of the old formula. <ref>http://wikiwiki.jp/kancolle/?%C6%EE%C0%BE%BD%F4%C5%E7%B3%A4%B0%E8#area5</ref><ref>http://ch.nicovideo.jp/biikame/blomaga/ar663428</ref>
 
 
Also known as '''2-5 autumn formula''', '''2-5 new formula''' or '''new eLoS formula''' in some places. It is also '''the eLoS formula''' or '''the LoS formula''' as it has already become a de-facto standard on how to calculate (e)los.
 
* Effective LoS = Dive Bomber LoS x (1.04) + Torpedo Bomber LoS x (1.37) + Carrier-based Reconnaissance Plane LoS x (1.66) + Reconnaissance Seaplane LoS x (2.00) + Seaplane Bomber LoS x (1.78) + Small Radar LoS x (1.00) + Large Radar LoS x (0.99) + Searchlight LoS x (0.91) + √(base LoS of each ship) x (1.69) + (HQ level rounded up to the next multiple of 5) x (-0.61)
 
* √(base LoS of each ship) x (1.69) = Calculate the square root of each ship's LoS (base value without any equipment) separately, then add the values together and multiply by 1.69
 
* Regarding the HQ Level: For example, if your HQ level is 101~105, use 105. If it's 106~110, use 110. And so on.
 
Excel file that calculates the fleet's LoS for you: http://1drv.ms/1IlzXGX (courtesy of [[User:Kouma231|Kouma231]])
 
   
 
=== new fall simplified ===
 
=== new fall simplified ===
 
It is a tidy up version of 2-5 fall formula. Click [[Line_of_Sight/Deprecated_Formula#new_fall_simplified|this link]] for details.
 
It is a tidy up version of 2-5 fall formula. Click [[Line_of_Sight/Deprecated_Formula#new_fall_simplified|this link]] for details.
  +
-->
 
===Unknown Factors in 2-5 Fall/NFS Formula calculation===
 
Currently, how the 2-5 fall formula would be affected by [[List of Fighters by stats|Fighters]], [[Fleet Command Facility|FCF]], [[Skilled Carrier-based Aircraft Maintenance Personnel|SCAMP]], [[Type 3 Command Liaison Aircraft (ASW)|ASW Liason AIrcraft]], [[Improvement]], and [[Aircraft Proficiency]] are still undeterminded. Some calculators assume equipment in the list have 1.00x of their los value influence on the 2-5 fall value.
 
   
 
===Formula 33===
 
===Formula 33===
   
Requires further testing. Similar to the New Fall Simplified formula, but reportedly more accurate. Using this model, a value of 31 eLoS would guarantee failing the 2-5 LoS check, while a value of 33 eLoS would succeed 100% of the time. It is described as follows<ref>http://ja.kancolle.wikia.com/wiki/%E3%83%9E%E3%83%83%E3%83%97%E7%B4%A2%E6%95%B5</ref>:
+
The current standard for LoS routing calculations.  It is described as follows<ref>http://ja.kancolle.wikia.com/wiki/%E3%83%9E%E3%83%83%E3%83%97%E7%B4%A2%E6%95%B5</ref>:
   
  +
<math>
<math>\phi = \sum^{\text{All Slots}} C_{l} \cdot ( S_{l} + S_{\bigstar} ) + \sum^{\text{All Ships}} \sqrt{L} - \lceil 0.4 H \rceil + 2M</math>
 
  +
\begin{align}
  +
\phi &= \sum_{s \in \text{Ships}} \sqrt{L_s} + C_{n} \sum_{l \in \text{Slots}}C_{l} ( S_{l} + S_l^{\star} ) - \lceil 0.4 H \rceil + 2(6-N) \\
  +
S_l^{\star} &= C_l^{\star} \cdot \sqrt{\bigstar_l}
  +
\end{align}
  +
</math>
   
 
*<math>L_s</math>is the ship's base LoS
<math>S_{\bigstar} = C_{\bigstar} \cdot \sqrt{\bigstar}</math>
 
  +
*<math>C_{n}</math>is the node factor, it represents the weighting of the formula that is '''known to vary''' across different maps and nodes. For example, in 6-2, the node factor of C<sub>n</sub> = 3 means that equipment is 3 times as important compared to the original formula (as tested in 6-2-F/H). See following section for more details.
 
*<math>C_{l}</math> is the equipment multiplier:
+
*<math>C_{l}</math>is the equipment multiplier:
 
**Carrier-Based Fighter: 0.6
 
**Carrier-Based Fighter: 0.6
 
**Carrier-Based Dive Bomber: 0.6
 
**Carrier-Based Dive Bomber: 0.6
Line 55: Line 53:
 
**Large Flying Boat: 0.6
 
**Large Flying Boat: 0.6
 
**Seaplane Fighter: 0.6
 
**Seaplane Fighter: 0.6
  +
**Midget Submarine: 0.6
*<math>S_{l}</math> is the displayed LoS value of the equipment
 
*<math>S_{\bigstar}</math> is the equipment's improvement bonus to eLoS
+
*<math>S_{l}</math>is the displayed LoS value of the equipment
**This is calculated by multiplying <math>C_{\bigstar}</math>, the improvement multiplier of that equipment, with the square root of the equipment's improvement level.
+
*<math>S_l^{\star}</math>is the equipment's improvement bonus to eLoS
  +
**This is calculated by multiplying<math>C_l^{\star}</math>, the improvement multiplier of that equipment, with the square root of the equipment's improvement level.
***The improvement multiplier of all Radars is 1.25, Reconnaissance Seaplanes is 1.2, and Searchlight is 0 (that is, it receives no eLoS bonus when improved)
+
***The improvement multiplier of Small Radars is 1.25, Large Radars is 1.4, Reconnaissance Seaplanes is 1.2, and Searchlight is 0 (that is, it receives no eLoS bonus when improved)
*<math>L</math> is the ship's base LoS
 
*<math>H</math> is the HQ level. The ceil operation means that the value is rounded up every 2.5 HQ levels.
+
*<math>H</math>is the HQ level. The ceil operation means that the value is rounded up every 2.5 HQ levels.
  +
*<math>N</math>represents the amount of ships you have in your fleet.
*<math>M</math> is an additional variable representing the number of empty ship slots in your fleet. For instance, if your fleet contains only 2 ships, <math>M</math> would be 4 and thus <math>2M</math> would yield 8.
 
 
**It is unknown whether this value increases mid-sortie if a ship disappears from your fleet (e.g. sinking).
 
**It is unknown whether this value increases mid-sortie if a ship disappears from your fleet (e.g. sinking).
  +
  +
====Equipment LoS weighting modifier====
  +
*Also known as node factor
  +
*In some maps, weighting of equipment would be higher than that others.
  +
*It is represented as C<sub>n</sub> in the formula.
  +
*For all tested nodes, C<sub>n</sub> for 2-5 is 1, for 3-5 and 6-1 are 4, for 6-2 and 6-3 are 3.
  +
**That mean equipment LoS are 3 times more important in 6-2 and 6-3 compare to 2-5 and four time as important in 3-5 and 6-1.
  +
**In other words, ship LoS are less effective in those maps with higher equipment weighting modifier.
  +
*In 2-5, F33(C<sub>n</sub>=1) have to be larger than 31 to have a chance to enter boss and 33 to guarantee boss entry.
  +
*In 6-2, F33(C<sub>n</sub>=3) have to be less than 43 to guarantee F>H and more than 40 to guarantee H>K
  +
 
====Special Notice to users of KCV v.4.2.5 as well as older version of some other software====
 
====Special Notice to users of KCV v.4.2.5 as well as older version of some other software====
 
*Please update your software to a more recent version which patched a calculation mistake.
 
*Please update your software to a more recent version which patched a calculation mistake.

Latest revision as of 18:54, 23 July 2020

Introduction[]

Currently, there are three known purposes for Line of Sight (LoS):

  • Increasing success rate in the detection phase, which allows participation in aerial combat.
  • A higher Fleet total LoS (FLoS, or known as Simple LoS) positively correlates with the trigger chance of artillery spotting for a ship's double/cut-in attack in day battle.
    • Fleet total LoS is simply the summation of all LoS stats from your ships, including bonuses from the equipment.
  • Effective LoS (eLoS), which allows the fleet to reach a specific node (usually a pre-boss or boss node) instead of being diverted to a dead end.
    • Effective LoS has been employed in many Event Maps since Spring 2014 Event, Extra Operation Maps (including 1-6, 2-5, 3-5, 4-5), and some World 6 Maps.
    • There are special formulas being used to calculate eLoS. As a general consensus, LoS bonuses from equipment (especially reconnaissance seaplanes) are more important than an individual ship's LoS stats.
    • See sections below for the currently established formula on how to calculate eLoS.
  • Reconnaissance Seaplane equipped on a light cruiser with no plane slots can contribute to LoS.[1] But if it is equipped onto ships and then shot down, it cannot contribute to LoS check performed afterward.

Effective Line of Sight calculation method[]

Formula 33[]

The current standard for LoS routing calculations.  It is described as follows[2]:

  • is the ship's base LoS
  • is the node factor, it represents the weighting of the formula that is known to vary across different maps and nodes. For example, in 6-2, the node factor of Cn = 3 means that equipment is 3 times as important compared to the original formula (as tested in 6-2-F/H). See following section for more details.
  • is the equipment multiplier:
    • Carrier-Based Fighter: 0.6
    • Carrier-Based Dive Bomber: 0.6
    • Carrier-Based Torpedo Bomber: 0.8
    • Carrier-Based Reconnaissance Aircraft: 1
    • Reconnaissance Seaplane: 1.2
    • Seaplane Bomber: 1.1
    • Small Radar: 0.6
    • Large Radar: 0.6
    • ASW Patrol Aircraft: 0.6
    • Searchlight (Small and Large): 0.6
    • Fleet Command Facility: 0.6
    • SCAMP: 0.6
    • Skilled Lookouts: 0.6
    • Sonar: 0.6
    • Large Flying Boat: 0.6
    • Seaplane Fighter: 0.6
    • Midget Submarine: 0.6
  • is the displayed LoS value of the equipment
  • is the equipment's improvement bonus to eLoS
    • This is calculated by multiplying, the improvement multiplier of that equipment, with the square root of the equipment's improvement level.
      • The improvement multiplier of Small Radars is 1.25, Large Radars is 1.4, Reconnaissance Seaplanes is 1.2, and Searchlight is 0 (that is, it receives no eLoS bonus when improved)
  • is the HQ level. The ceil operation means that the value is rounded up every 2.5 HQ levels.
  • represents the amount of ships you have in your fleet.
    • It is unknown whether this value increases mid-sortie if a ship disappears from your fleet (e.g. sinking).

Equipment LoS weighting modifier[]

  • Also known as node factor
  • In some maps, weighting of equipment would be higher than that others.
  • It is represented as Cn in the formula.
  • For all tested nodes, Cn for 2-5 is 1, for 3-5 and 6-1 are 4, for 6-2 and 6-3 are 3.
    • That mean equipment LoS are 3 times more important in 6-2 and 6-3 compare to 2-5 and four time as important in 3-5 and 6-1.
    • In other words, ship LoS are less effective in those maps with higher equipment weighting modifier.
  • In 2-5, F33(Cn=1) have to be larger than 31 to have a chance to enter boss and 33 to guarantee boss entry.
  • In 6-2, F33(Cn=3) have to be less than 43 to guarantee F>H and more than 40 to guarantee H>K

Special Notice to users of KCV v.4.2.5 as well as older version of some other software[]

  • Please update your software to a more recent version which patched a calculation mistake.

References[]