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====== Patrol ======

Patrol is an action that can be carried out by commanders and their units, which has them search the province for [[stealthy]] units and quell [[unrest]] in the province. Additionally, for provinces with a [[fort]], only patrolling forces will be involved in any battles in the province outside the fort, along with any [[province defence]]. Troops moving to a forted province may join the patrollers for battles by clicking their "move" order and selecting "move and patrol".

=== Patrol Strength ===

Each unit has a calculated patrol strength, derived from its attributes. This value is relevant to the discussions below, and is given by:

 ([[precision]] + [[map move]])/20 + {{:abilities:patrol_bonus.png?nolink}}Patrol Bonus, where map move = 30 if the unit is [[flying]]

[[Undisciplined]] units suffer a flat -0.5 to this value, which can reduce their patrol strength below zero. This means that they actively //hinder// patrolling efforts in the province. This value appears to be doubled for [[commander]]s. Additionally, this value is modified by the [[patrol bonus]] ability. Clicking the precision stat on the unit stat panel will display this value, however it appears to be always rounded up to one decimal place. There is evidence to suggest that the game does in fact use the unrounded values for calculations. 

The active patrol strength of a province appears to simply be the sum of this value for all patrolling commanders and the units which they lead, plus the values produced from province defence.

[[The Eyes of God]] provides a flat +25 bonus to patrol strength in each province it affects((Analysis of the Dominions 5.51b executable)).

=== Stealth ===

Stealthy units may be discovered by patrolling forces. If a unit is [[invisible]], it can only be detected by patrollers with [[spirit sight]]. The mathematical description for this process is as follows:

<WRAP box round center 600px centeralign>====Detection====
<WRAP centeralign>{{abilities:stealthy.png?nolink}} **Stealth strength** = (Leader's [[stealth]] ability) - (number of stealthy units under their command with stealth ability < 50) - 0.5 × (number of stealthy units under their command with stealth ability >= 50)

{{:abilities:patrol_bonus.png?nolink}}**Destealth strength** = (Sum of patrolling units' patrol strengths) - min([[unrest]], 100)/2 + max(0, [[province defense]] - 14)

----


Sneaking units are discovered if:

**Destealth + 2d25 > Stealth + 2d25**

Both of these rolls are open-ended.
</WRAP>
</WRAP>

(As an indication, generic and national human scouts have a Stealth value around 50, sneaky elvish leaders and many assassins around 60-65 and specialised spies and some summons 70-80.)

=== Unrest ===

When patrolling a province with unrest, an exploding d50 is rolled. If this value is greater than the sum of your patrol strength plus 25, nothing happens.

The unrest reduced is a random number between 0 and the total patrol strength inclusive. This number becomes the quantity of "filthy brigands" in the turn report.

Reducing unrest this way reduces province population by 10 * %%((unrest reduction + 4)/5, rounded down)%%.

This also increases the number of unarmed corpses by (population killed/10 - (province total population * 5)) + unrest reduction.

=== Probabilities of detecting stealthy units ===

The following table below acts similar to the [[DRN]] table, except that it implements the d25 in place of the usual d6: thus it provides the chance of finding a sneaking commander. The difference represents the destealth strength minus the stealth strength in the province.

|  //Patrol Strength greater than Stealth//           ||  //Patrol Strength less than Stealth//           ||
^ Difference                                 ^ Chance  ^ Difference                              ^ Chance  ^
| 0                                          | 48.8    | 0                                       | 48.8    |
| 5                                          | 60.9    | -5                                      | 36.8    |
| 10                                         | 72.0    | -10                                     | 26.0    |
| 15                                         | 81.2    | -15                                     | 17.2    |
| 20                                         | 88.1    | -20                                     | 10.8    |
| 25                                         | 92.9    | -25                                     | 6.4     |
| 30                                         | 95.8    | -30                                     | 3.7     |
| 35                                         | 97.6    | -35                                     | 2.1     |
| 40                                         | 98.7    | -40                                     | 1.2     |
| 45                                         | 99.3    | -45                                     | 0.7     |
| 50                                         | 99.6    | -50                                     | 0.3     |
| 55                                         | 99.8    | -55                                     | 0.2     |
| 60                                         | 99.9    | -60                                     | 0.1     |

It follows that if you are patrolling to root out stealthy units, you should orient your patrol size to the kind of units you hope to find. Chances are roughly even when stealth and patrol strength are even, but fall of quickly even when the patrol strength is even a little less than the stealth of the unit. Province Defence alone will not uncover many stealthy units.
===== Efficency of patrol summons =====
^ National Spell                ^ Summon                                            ^ Unitnumbers  ^ Patrol per Unit  ^ Spell Cost  ^ Type  ^ Total patrol strength  ^ Patrol Strength per gem/slave  ^
| {{:magicpath:path_a.png?20}}  |                                                   |              |                  |             |       |                        |                                |
| y                             | Condor                                            | 10           | 22               | 9           | A     | 220                    | 24.44                          |
|                               | Great Eagle                                       | 5            | 12               | 8           | A     | 60                     | 7.5                            |
|                               | Watcher                                           | 1            | 51.3             | 5           | A     | 51.3                   | 10.26                          |
|                               | Raven (Call of Winds)                             | 40           | 1                | 10          | A     | 40                     | 4                              |
|                               | Draconians (Base)                                 | 15           | 2                | 30          | A     | 30                     | 1                              |
|                               | Corpse Construct                                  | 1            | 1.1              | 1           | A     | 1.1                    | 1.1                            |
|                               | Corpse Construct with Staff                       | 1            | 1.1              | 1           | A     | 4.4                    | 4.4                            |
|                               | Corpse Construct with Staff&Spool                 | 1            | 1.1              | 1           | A     | 6.6                    | 6.6                            |
| y                             | Simargl                                           | 1            | 11.8             | 1           | A     | 11.8                   | 11.8                           |
| {{:magicpath:path_b.png?20}}  |                                                   |              |                  |             |       |                        |                                |
|                               | Imps (Horde from Hell)                            | 24           | 2                | 44          | B     | 48                     | 1.1                            |
|                               | Crossbreed (usual foulspawn between 0.6 and 0.7)  | 20           | 0.63             | 15          | B     | 12.6                   | 0.84                           |
|                               | Bone Fiend                                        | 5            | 1.3              | 5           | B     | 6.5                    | 1.3                            |
|                               | Fiery Imp                                         | 5            | 1.3              | 6           | B     | 6.5                    | 1.1                            |
| y                             | Rakshasa Warrior                                  | 5            | 1                | 25          | B     | 5                      | 0.2                            |
| y                             | Beast Bats                                        | 3            | 1.5              | 8           | B     | 4.5                    | 0.6                            |
| y                             | Rakshasa                                          | 3            | 1.2              | 10          | B     | 3.6                    | 0.36                           |
| {{:magicpath:path_n.png?20}}  |                                                   |              |                  |             |       |                        |                                |
|                               | Spirits of the Wood                               | 10           | 1.2              | 8           | N     | 12                     | 1.5                            |
|                               | Wolves                                            | 10           | 0.7              | 2           | N     | 7                      | 3.5                            |
| y                             | Herd of Buffaloes                                 | 5            | 1.1              | 10          | N     | 5.5                    | 0.55                           |
|                               | Killer Mantis                                     | 5            | 0.6              | 4           | N     | 3                      | 0.75                           |
|                               | Manikin                                           | 10           | 1.3              | 9           | N     | 13                     | 1.4                            |
| {{:magicpath:path_d.png?20}}  |                                                   |              |                  |             |       |                        |                                |
|                               | Pale Riders                                       | 20           | 1.7              | 10          | D     | 34                     | 2.4                            |
| y                             | Gana                                              | 20           | 1.5              | 12          | D     | 30                     | 2.5                            |
|                               | Reanimation (default human longdead)              | 10           | 1.4              | 3           | D     | 14                     | 4.7                            |
|                               | Spirit Mastery                                    | 15           | 0.7              | 4           | D     | 10.5                   | 2.6                            |
|                               | Ziz                                               | 1            | 12.2             | 4           | D(A)  | 12.2                   | 3.05                           |
| {{:magicpath:path_e.png?20}}  |                                                   |              |                  |             |       |                        |                                |
| y                             | Kusarriku                                         | 2            | 11.3             | 6           | E     | 22.6                   | 3.8                            |
| {{:magicpath:path_f.png?20}}  |                                                   |              |                  |             |       |                        |                                |
|                               | Terracotta                                        | 10           | 1.3              | 10          | F     | 13                     | 1.3                            |

All values assuming casting at base level.
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