Formulas - Revision history

Oment at 14:54, 16 October 2021

2021-10-16T14:54:43Z

← Older revision		Revision as of 14:54, 16 October 2021
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	* Only generated on successful invasions where Land Ratio > 75%.		* Only generated on successful invasions where Land Ratio > 75%.
	* Cannot exceed 10% of your current prestige.
	* Prestige cannot exceed your land size when prestige is added.		* Prestige cannot exceed your land size when prestige is added.
	* [May be reduced for additional invasions on already invaded target within 24 hours] [is this still applicable?].

	=== Prestige Loss ===		=== Prestige Loss ===

202.146.25.38: /* Land Gains */

2021-10-16T09:48:20Z

Land Gains

← Older revision		Revision as of 09:48, 16 October 2021
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	If target is less than 55% the size of the attacker:		If target is less than 55% the size of the attacker:

	<code>0.80 * ( 0.304 * (Target Size/Attacker Size) - 0.227 * Target Size/Attacker Size + 0.048) * Attacker Size)</code>		<code>0.80 * ( 0.304 * ((Target Size/Attacker Size)^2) - 0.227 * Target Size/Attacker Size + 0.048) * Attacker Size</code>

	If target is greater than or equal to 55% but less than 75% the size of the attacker:		If target is greater than or equal to 55% but less than 75% the size of the attacker:

	<code>0.80 * (0.154 * ((Target Size/Attacker Size~~)^2~~) - 0.069 * Target Size/Attacker Size) * Attacker Size)</code>		<code>0.80 * (0.154 * (Target Size/Attacker Size) - 0.069 * Target Size/Attacker Size) * Attacker Size</code>

	For 75% and up:		For 75% and up:

	<code>0.80 * (0.129 * ((Target Size/Attacker Size~~)^2~~) - 0.048 * Target Size/Attacker Size) * Attacker Size)</code>		<code>0.80 * (0.129 * (Target Size/Attacker Size) - 0.048 * Target Size/Attacker Size) * Attacker Size</code>

	=== Land Generation ===		=== Land Generation ===

202.146.25.38: /* Land Gains */

2021-10-16T09:33:12Z

Land Gains

← Older revision		Revision as of 09:33, 16 October 2021
Line 31:		Line 31:
	If target is less than 55% the size of the attacker:		If target is less than 55% the size of the attacker:

	<code>0.80 * ( 0.304 * ((Target Size/Attacker Size~~) ^ 2~~) - 0.227 * Target Size/Attacker Size + 0.048) * Attacker Size)</code>		<code>0.80 * ( 0.304 * (Target Size/Attacker Size) - 0.227 * Target Size/Attacker Size + 0.048) * Attacker Size)</code>

	If target is greater than or equal to 55% but less than 75% the size of the attacker:		If target is greater than or equal to 55% but less than 75% the size of the attacker:

Oment at 09:21, 16 October 2021

2021-10-16T09:21:39Z

← Older revision		Revision as of 09:21, 16 October 2021
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	The amount of acres gained by the attacker is twice the amount conquered.		The amount of acres gained by the attacker is twice the amount conquered.

	<code>Land Conquered * 1</code>		<code>Land Conquered * 2</code>

	== Prestige ==		== Prestige ==

202.146.25.38: /* Land Gains */

2021-10-16T09:19:46Z

Land Gains

← Older revision		Revision as of 09:19, 16 October 2021
Line 31:		Line 31:
	If target is less than 55% the size of the attacker:		If target is less than 55% the size of the attacker:

	<code>0.75 * ( 0.304 * ((Target Size/Attacker Size) ^ 2) - 0.227 * Target Size/Attacker Size + 0.048) * Attacker Size)</code>		<code>0.80 * ( 0.304 * ((Target Size/Attacker Size) ^ 2) - 0.227 * Target Size/Attacker Size + 0.048) * Attacker Size)</code>

	If target is greater than or equal to 55% but less than 75% the size of the attacker:		If target is greater than or equal to 55% but less than 75% the size of the attacker:

	<code>0.75 * (0.154 * ((Target Size/Attacker Size)^2) - 0.069 * Target Size/Attacker Size) * Attacker Size)</code>		<code>0.80 * (0.154 * ((Target Size/Attacker Size)^2) - 0.069 * Target Size/Attacker Size) * Attacker Size)</code>

	For 75% and up:		For 75% and up:

	<code>0.75 * (0.129 * ((Target Size/Attacker Size)^2) - 0.048 * Target Size/Attacker Size) * Attacker Size)</code>		<code>0.80 * (0.129 * ((Target Size/Attacker Size)^2) - 0.048 * Target Size/Attacker Size) * Attacker Size)</code>

	=== Land Generation ===		=== Land Generation ===

202.146.25.38: /* Prestige Gain */

2021-10-16T09:19:20Z

Prestige Gain

← Older revision		Revision as of 09:19, 16 October 2021
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	<code>60 * Land Ratio </code>		<code>60 * Land Ratio </code>

	* Only on successful invasions where Land Ratio > 75%.		* Only generated on successful invasions where Land Ratio > 75%.
	* Cannot exceed 10% of your current prestige.		* Cannot exceed 10% of your current prestige.
	* Prestige cannot exceed your land size when prestige is added.		* Prestige cannot exceed your land size when prestige is added.

202.146.25.38: /* Prestige Gain */

2021-10-16T09:15:42Z

Prestige Gain

← Older revision		Revision as of 09:15, 16 October 2021
Line 55:		Line 55:
	<code>60 * Land Ratio </code>		<code>60 * Land Ratio </code>

			* Only on successful invasions where Land Ratio > 75%.
	* Cannot exceed 10% of your current prestige.		* Cannot exceed 10% of your current prestige.
	* Prestige cannot exceed your land size when prestige is added.		* Prestige cannot exceed your land size when prestige is added.

202.146.25.38: /* Prestige Gain */

2021-10-16T09:14:41Z

Prestige Gain

← Older revision		Revision as of 09:14, 16 October 2021
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	=== Prestige Gain ===		=== Prestige Gain ===

	<code>~~20 + (Target's Prestige~~ * Land Ratio ~~/ 12)~~</code>		<code>60 * Land Ratio </code>

	* Cannot exceed 10% of your current prestige.		* Cannot exceed 10% of your current prestige.
	* Prestige cannot exceed your land size when prestige is added.		* Prestige cannot exceed your land size when prestige is added.
	* May be reduced for additional invasions on already invaded target within 24 hours.		* [May be reduced for additional invasions on already invaded target within 24 hours] [is this still applicable?].

	=== Prestige Loss ===		=== Prestige Loss ===

InternetFett: 1 revision imported

2020-11-07T02:01:47Z

1 revision imported

← Older revision		Revision as of 02:01, 7 November 2020
(No difference)

OpenDominion>Dreki at 14:36, 10 August 2019

2019-08-10T14:36:21Z

New page

This is just a collection of formulas for easy reference. It's highly recommended that you read the corresponding article to understand conditions or criteria when the formula may deviate.

== Construction ==

[[Construction]] costs [[platinum]] and [[lumber]].

=== Platinum Cost ===

<code>850+([Total Land]-250)*1.53</code>

=== Lumber Cost ===

<code>88+([Total Land]-250)*0.35</code>

== Espionage and Magic ==

There are two formulas which determine the chance of success for [[espionage]] [[ops]] and offensive [[magic]] [[spells]].

=== Info Ops ===

<code>0.8 ^ (2 / ((Your Ratio / Defender Ratio) * 1.4) ^ 2))</code>

=== Black Ops ===

<code>0.8 ^ (2 / ((Your Ratio / Defender Ratio) * 1.2) ^1.2))</code>

== Land Gains ==

[[Land]] conquered by attacker (and lost by target) during [[invasion]] is calculated according to this formula.

If target is less than 55% the size of the attacker:

<code>0.75 * ( 0.304 * ((Target Size/Attacker Size) ^ 2) - 0.227 * Target Size/Attacker Size + 0.048) * Attacker Size)</code>

If target is greater than or equal to 55% but less than 75% the size of the attacker:

<code>0.75 * (0.154 * ((Target Size/Attacker Size)^2) - 0.069 * Target Size/Attacker Size) * Attacker Size)</code>

For 75% and up:

<code>0.75 * (0.129 * ((Target Size/Attacker Size)^2) - 0.048 * Target Size/Attacker Size) * Attacker Size)</code>

=== Land Generation ===

The amount of acres gained by the attacker is twice the amount conquered.

<code>Land Conquered * 1</code>

== Prestige ==

[[Prestige]] is gained and lost using two different formulas.

=== Prestige Gain ===

<code>20 + (Target's Prestige * Land Ratio / 12)</code>

* Cannot exceed 10% of your current prestige.
* Prestige cannot exceed your land size when prestige is added.
* May be reduced for additional invasions on already invaded target within 24 hours.

=== Prestige Loss ===

<code>Prestige * 0.05</code>

=== Prestige Bonus to OP ===

[[OP]] bonus is multiplicative, meaning it is added to OP bonuses like any other bonus.

<code>Bonus + Prestige / 10000</code>

=== Prestige Bonus to Population and Food ===
[[Population]] and [[food|food production]] bonus from prestige is ''multiplicative''.

<code>Bonus * (1 + Prestige / 10000)</code>

== Rezone ==

The cost of [[rezoning]] is determined by the following formula.

<code>(Land - 250) * 0.6 + 250</code>