User: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 automatic rotational acceleration

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## Movement and Combat

all of this is taken from the [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 [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 [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)

• time is incremented
• bullets move and check for collisions
• robots move
  • adjust heading
  • adjust acceleration
  • adjust velocity
  • adjust position
• scans are made
• robots execute their code until their thread is blocked (through action, or time out)

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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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