Guts of bombing
Author: Leonard Dickens Email: leonard@dc.net Date: 1998/07/17 Forums: rec.games.computer.stars
Here is an improved version of Thomas Pfister's excellent recent post on bombing. Since it came time for Armageddon's in a game I am in, I took the time to understand the post and brush it up to cover bombing in a more complete manner.
Bombing and Defenses in Stars!
(4.1.1) DEFENSIVE COVERAGE
Each Defense type has a specific "base" defense coverage, which is the value of Defense coverage _ONE_ Defense gives population:
SDI 0.99% Missile 1.99% Laser 2.39% Planet 2.99% Neutron 3.79%
The coverage of more than one Defense is calculated as follows:
(4.1.1a) For pop defending against normal bombs:
Def(pop) = 1-((1-d)^n), where n is the number of Defenses.
e.g. 100 Neutron-Defs:
= 1 - ((1 - 3.79%)^100)
= 1 - ((1 - 0.0379)^100)
= 1 - (0.9621^100)
= 1 - 0.0208
= 0.9792
= 97.92%
This is the defensive coverage afforded to population versus normal bombs (like cherry bombs; see list below) and versus packet hits.
(4.1.1b) For buildings (factories, mines, and defenses themselves) the defensive coverage versus normal bombs is halved:
Def(build) = Def(pop)*0.5
e.g. versus 100 Neutron Defs:
= 97.92% *.5
= 48.96%
(4.1.1c) For pop versus invasions the coverage is 75%:
Def(inv) = Def(pop)*.75
e.g. versus 100 Neutron Defs:
= 97.92% * .75
= 73.44%
(4.1.1d) Versus smart bombs the coverage is calculated differently. The base coverage level of the defenses is halved. Thus, the total defensive coverage is calculated as follows:
Def(smart) = 1-((1-(d/2))^n)
e.g. versus 100 Neutron defs:
= 1 - ((1 - (3.79%/2))^100)
= 1 - ((1 - (1.895%))^100)
= 1 - ((1 - 0.01895)^100)
= 1 - ((0.98105)^100)
= 1 - .1476
= 0.8524
= 85.24%
(4.1.1e) The following table summarizes the effective defense percentage obtained against each type of attack, using 100 defenses:
pop build inv smart
SDI 63.03 31.51 47.27 39.12 Missile 86.60 43.30 64.95 63.21 Laser 91.10 45.55 68.32 69.95 Planet 95.20 47.60 71.40 77.83 Neutron 97.90 48.95 73.43 85.24
