Revision as of 10:00, 12 November 2006

Author: Leonard Dickens

Email: {email removed by editor}

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