Editing revision 15 of BenHorner/Calculations

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=== ## Units of measure ===
these are the units I use throughout this page
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* time is measured in (t)urns (getTurn())
* distance is measured in (p)ixels
* angles are measured in (d)egrees or (r)adians
* compound units
** movement speed is measured in p/t (ppt)
** rotational speed is measured in d/t (dpt) or r/t (rpt)
** movement acceleration is measured in ppt/t (pptpt)
** there is no rotational acceleration
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=== ## Movement and Combat ===
all of this is taken from the [[http://robocode.sourceforge.net/help/robocode.faq.txt Robocode FAQ]] it's just condensed here for my easy use.
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* movement values determined in this order:
** heading
*** max robot turn rate is 10 - 0.75 * getVelocity() dpt
** acceleration
*** accelerating: 1 pptpt
*** decelerating: 2 pptpt
** velocity
*** max velocity is 8 ppt
** position
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* combat
** tracking
*** radar turn rate is 45 dpt
** targeting
*** gun turn rate is 20 dpt
** ramming (what counts as "moving towards" when hit?)
*** both robots lose 0.6 energy
*** ram-er gain 1.2 score points
** hitting the wall
*** AdvancedRobots lose energy max(abs(velocity) / 2 - 1, 0);
** firing bullets
*** 0.1 <= bullet power (bp) <= 3.0
*** firing drains bp energy from firer
*** if (bp <= 1) struck robot loses 4 * bp energy
*** if (bp > 1) struck robot loses 6 * bp - 2 energy
*** firer gains 3 * bp energy when bullet hits
*** bullet speed is 20 - 3 * bp
*** gun heat (gh)
**** bullets cannot be fired when gh > 0
**** gh increases 1 + (bp / 5) when a bullet is fired
**** gh drops 0.1/turn (by default, can be changed in interface)
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=== ## Scoring ===
this part is from [[http://robocode.sourceforge.net/help/scoring/scoring.html The Robocode Help]]
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* the battle score is the sum of these:
** survival score, 50 points for every robot that died before you
*** bonus: if you're last, 10 additional points for each robot that died
** bullet damage, total amount of damage inflicted (including ramming?)
*** bonus: if you kill an enemy, 20% of the damage you did to that enemy
** ram damage, 2 time the total amount of damage inflicted by ramming
*** bonus: if you kill an enemy by ramming, 30% of the damage you did to that enemy
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=== ## Anatomy of a turn ===
this is from [[http://robocode.sourceforge.net/help/ The Robocode Help]]
(altered so that everything happens with the same time value)
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each turn these things happen in order:
(cycled so that everything happens with the same time value)
* bullets move and check for collisions
* robots move
* scans are made
* robots execute their code until their thread is blocked (through action, or time out)
* time is incremented
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calculations:

maximize: bppt = bp / ((1+(bp/5))/(cool rate))
               = bp * (cool rate) / ((5+bp)/5)
               = 5 * bp * (cool rate) / (5 + bp)

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Summary:
Consciousness check: 7 * 6 =
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