Compare PVP scores of characters in Diablo 3.

cmpchars.rb

require 'rubygems'
require 'diablo3-api-client'

# TODO
# fury / barb attributes
# block
# edp only for dh
# efp for barbs?
# monks
# wizards
# witch doctors

class Set
  def initialize set
    @name = set["name"]
	@bonuses = {}
	set["ranks"].each do |rank|
	  @bonuses[rank["required"]] = rank["attributes"]
	end
	@items = {}
	set["items"].each do |item|
	  @items[item["name"]] = false
	end
  end

  def add_item name
    @items[name] = true
  end

  def attributes
    attr = []
	items = @items.values.count true
	@bonuses.each do |n, a|
	  attr += a if n <= items
	end
	attr
  end
end

class Weapon
  attr_accessor :wtype, :dps, :min, :max, :aps, :ed, :elemin, :elemax
  def initialize wtype, dps, min, max, aps, ed, elemin, elemax
	@wtype = wtype
	@dps = dps || 0.0
	@min = min || 0.0
	@max = max || 0.0
	@aps = aps || 0.0
	@ed = ed || 0.0
	@elemin = elemin || 0.0
	@elemax = elemax || 0.0
  end
end

def parse_items hero
  mainhand = nil
  offhand = nil
  sets = {}
  items = []

  for item in hero.items
    attr = {}
    weapon = true
	is_offhand = item.class.scope == "offHand"

	unless item.set.nil?
      sets[item.set["name"]] = Set.new item.set if sets[item.set["name"]].nil?
	  sets[item.set["name"]].add_item item.name
	end

	wtype = ""
    case item.type["id"]
    when /(Bow|Crossbow|HandXbow|Sword|MightyWeapon1H|Mace|Axe|Axe2H|Dagger|Sword|Polearm|Spear|FistWeapon|Wand)/
      wtype = item.type["id"]
    when /(Shield|Helm|ChestArmor|Boots|Gloves|Shoulders|Legs|Bracers|GenericBelt|Ring|Amulet|Belt|Belt_Barbarian|Cloak|Quiver|SpiritStone_Monk|Orb|WizardHat|VoodooMask|Mojo)/
      weapon = false
    else
      puts "WARNING: unknown wtype " + item.type["id"]
    end

	item.attributes_raw.each do |name, attribute|
	  parse_raw_attribute name, attribute, attr, weapon, is_offhand
	end
    item.attributes.each do |attribute|
      parse_attribute attribute, attr, weapon, is_offhand
    end
	unless attr["delta"].nil?
	  init_attr attr, "max"
	  attr["max"] += attr["delta"]
	  attr["delta"] = nil
	end
	#puts item.name
	#puts item.type["id"]
	#puts item.attributes_raw # Damage_Bonus_Min#Physical, Damage_Min#Physical, Damage_Delta#Physical

    if weapon
	  baps = if attr["baps"].nil? then 0.0 else attr["baps"] end
	  unless is_offhand
		mainhand = Weapon.new wtype, item.dps["min"], item.min_damage["min"], item.max_damage["min"], item.attacks_per_second["min"]-baps, attr["ed"], attr["elemin"], attr["elemax"]
      else
		offhand = Weapon.new wtype, item.dps["min"], item.min_damage["min"], item.max_damage["min"], item.attacks_per_second["min"]-baps, attr["ed"], attr["elemin"], attr["elemax"]
	  end
    end

    for gem in item.gems
	  gem["attributesRaw"].each do |name, attribute|
	    parse_raw_attribute name, attribute, attr, weapon, is_offhand
	  end
      gem["attributes"].each do |attribute|
        parse_attribute attribute, attr
      end
    end

    items << attr
  end

  for name, set in sets
	set.attributes.each do |attribute|
	  parse_attribute attribute, attr, false, false, true
    end
  end

  [items, mainhand, offhand]
end

def parse_raw_attribute name, attribute, attr, weapon=false, offhand=false
  case name
  when "Movement_Scalar"
	init_attr attr, "ms"
    attr["ms"] += attribute["min"].to_f * 100.0
  when /(Dexterity|Intelligence|Strength)_Item/
    stat = $1.downcase[0...3]
	init_attr attr, stat
    attr[stat] += attribute["min"].to_f
  when "Vitality_Item"
	init_attr attr, "vita"
    attr["vita"] += attribute["min"].to_f
  when "Hitpoints_Max_Percent_Bonus_Item"
    init_attr attr, "life"
    attr["life"] += attribute["min"].to_f
  when "Resistance_All"
    init_attr attr, "allres"
	attr["allres"] += attribute["min"].to_f
  when /Resistance#(Physical|Poison|Fire|Cold|Arcane|Lightning)/
    res = $1.downcase[0...2]
    init_attr attr, res
    attr[res + "res"] = attribute["min"].to_f
  when "Resource_Max_Bonus#Discipline"
    init_attr attr, "disc"
	attr["disc"] += attribute["min"].to_f
  when "Damage_Bonus_Min#Physical"
    init_attr attr, "min"
    attr["min"] += attribute["min"].to_f
  when "Damage_Min#Physical"
    init_attr attr, "min2"
    attr["min2"] += attribute["min"].to_f
  when "Damage_Delta#Physical"
    init_attr attr, "delta"
    attr["delta"] += attribute["min"].to_f
  when "Attacks_Per_Second_Item_Percent"
    init_attr attr, "wias"
    attr["wias"] += attribute["min"].to_f
  when "Attacks_Per_Second_Percent"
    init_attr attr, "ias"
    attr["ias"] += attribute["min"].to_f
  when "Damage_Weapon_Percent_Bonus#Physical"
    init_attr attr, "ed"
    attr["ed"] += attribute["min"].to_f
  when "Crit_Damage_Percent"
    init_attr attr, "cd"
    attr["cd"] += attribute["min"].to_f
  when "Crit_Percent_Bonus_Capped"
    init_attr attr, "cc"
    attr["cc"] += attribute["min"].to_f
  when "Armor_Item", "Armor_Bonus_Item"
    init_attr attr, "armor"
    attr["armor"] += attribute["min"].to_f
  when "Gold_PickUp_Radius"
    init_attr attr, "pickup"
    attr["pickup"] += attribute["min"].to_f
  when "Experience_Bonus_Percent"
    init_attr attr, "exp"
	attr["exp"] += attribute["min"].to_f
  when "Damage_Percent_Reduction_From_Melee"
    init_attr attr, "meeleedr"
	attr["meeleedr"] += attribute["min"].to_f
  when "Power_Damage_Percent_Bonus#DemonHunter_HungeringArrow"
    init_attr attr, "hungering_arrow"
	attr["hungering_arrow"] += attribute["min"].to_f
  when "Damage_Percent_Bonus_Vs_Elites"
    init_attr attr, "dmg_vs_elites"
	attr["dmg_vs_elites"] += attribute["min"].to_f
  when "Sockets"
  when "Item_Indestructible"
  when "Durability_Cur"
  when "Durability_Max"
  when "Requirement_When_Equipped#BowAny"
  else
    #puts "#{name} => #{attribute}"
  end
  if not attr["min2"].nil? and not attr["delta"].nil?
    init_attr attr, "min"
    init_attr attr, "max"
	attr["min"] += attr["min2"]
	attr["max"] += attr["min2"] + attr["delta"]
	attr["min2"] = nil
	attr["delta"] = nil
  end
end

def parse_attribute attribute, attr, weapon=false, offhand=false, set=false
  case attribute
  when /\+(\d+)% Movement Speed/
	init_attr attr, "ms"
    attr["ms"] += $1.to_f if set
  when /\+(\d+) Dexterity/
	init_attr attr, "dex"
    attr["dex"] += $1.to_f if set
  when /\+(\d+) Strength/
	init_attr attr, "str"
    attr["str"] += $1.to_f if set
  when /\+(\d+) Intelligence/
	init_attr attr, "int"
    attr["int"] += $1.to_f if set
  when /\+(\d+) Vitality/
	init_attr attr, "vita"
    attr["vita"] += $1.to_f if set
  when /\+(\d+)% Life/
	init_attr attr, "life"
    attr["life"] += $1.to_f/100.0 if set
  when /\+(\d+) Armor/
  when /\+(\d+) Resistance to All Elements/
	init_attr attr, "allres"
    attr["allres"] += $1.to_f if set
  when /\+(\d+) (Physical|Poison|Fire|Cold|Arcane|Lightning) Resistance/
    attr[$2.downcase[0...2] + "res"] = $1 if set
  when /\+(\d+)% Chance to Block/
    attr["block"] = $1.to_f/100.0
  when /Attack Speed Increased by (\d+)%/
    attr["ias"] = $1.to_f/100.0 if set
  when /\+(\d+).+?(\d+) (Fire|Holy|Poison|Lightning|Arcane|Cold) Damage/
    attr["elemin"] = $1.to_f
    attr["elemax"] = $2.to_f
  when /\+(\d+)% Damage/
    attr["ed"] = $1.to_f/100.0 if set
  when /Critical Hit Damage Increased by (\d+)%/
	init_attr attr, "cd"
    attr["cd"] += $1.to_f/100.0 if set
  when /Critical Hit Chance Increased by (\d+\.*\d*)%/
	init_attr attr, "cc"
    attr["cc"] += $1.to_f/100.0 if set
  when /Adds (\d+)% to (Fire|Holy|Poison|Lightning|Arcane|Cold) Damage/
    attr["elemental_ed"] = $1.to_f/100.0
  when /\+(\d+) Maximum Discipline.*/
    attr["disc"] = $1.to_f if set
  when /Increases Discipline Regeneration by (\d+) per Second.*/
    attr["discreg"] = $1.to_f
  when /Regenerates (\d+) Life per Second/
    attr["lifereg"] = $1.to_f
  when /Each Hit Adds \+(\d+) Life/
	init_attr attr, "loh"
    attr["loh"] += $1.to_f
  when /(\d+\.\d*)% of Damage Dealt Is Converted to Life/
    attr["ll"] = $1.to_f/100.0
  when /Increases Gold and Health Pickup by (\d+) Yards\./
    attr["pickup"] = $1 if set
  when /Reduces damage from ranged attacks by (\d+)%\./
    attr["rangedr"] = $1.to_f/100.0
  when /Health Globes and Potions Grant \+(\d+) Life\./
    attr["potions"] = $1.to_f
  when /Increases Hatred Regeneration by (\d+\.*\d*) per Second.*/
    attr["hatredreg"] = $1.to_f
  when /Reduces duration of control impairing effects by (\d+)%/
  when /\+(\d+.+?\d+) Attacks per Second/
	attr["baps"] = $1.to_f
  when /Increases Damage Against Elites by (\d+)%/
  when /Reduces damage from elites by (\d+)%\./
  when /Reduces damage from Cold attacks by (\d+)%\./
  when /Increases (Bash) Damage by (\d+)%.*/
  when /Increases (Spirit Barrage) Damage by (\d+)%.*/
  when /Level Requirement Reduced by (\d+)/
  when /\+(\d+)% Extra Gold from Monsters/
  when /(\d+)% Better Chance of Finding Magical Items/
  when /Increases Bonus Experience by (\d+)%/
  else
  end
end

def init_attr attr, key
  attr[key] = 0.0 if attr[key].nil?
end

def merge_items items
  attributes = {}
  items.each do |item|
	item.each do |a, v|
	  if attributes[a].nil?
		attributes[a] = v
	  elsif [Fixnum, Float].include? attributes[a].class
		attributes[a] += v
	  end
	end
  end
  attributes
end

def effective_life stats, items, char, buffs, mlvl=63, verbose=false
  result = {}

  life = stats["life"]
  result["life"] = life

  dr_char = if ["barbarian", "monk"].include? char and buffs.include? "character" then 0.3 else 0.0 end
  result["dr_char"] = dr_char

  res = [items["phres"], items["fires"], items["cores"], items["lires"], items["pores"], items["arres"]]
  avg_res = if char == "monk" and buffs.include? "one-with-everything"
    res.delete_if do |r| r.nil? end.max
  else
    res.inject(0.0) do |sum, el| sum + el.to_f end.to_f / 6.0
  end
  allres = if items["allres"].nil? then 0.0 else items["allres"] end
  result["allres"] = allres
  avg_res += allres + stats["intelligence"]/10.0

  dodge_chance = get_dodge_chance(stats["dexterity"])
  result["dodge_chance"] = dodge_chance

  armor = items["armor"].to_f + stats["strength"].to_f

  case char
  when "wizard"
    if buffs.include? "glas-cannon"
	  avg_res *= 0.9
	  armor *= 0.9
	end
  end

  result["avg_res"] = avg_res
  dr_res = avg_res/(avg_res+mlvl*5)
  result["dr_res"] = dr_res
  result["armor"] = armor
  dr_armor = armor/(armor+mlvl*50)
  result["dr_armor"] = dr_armor
  dr_range = if items["rangedr"].nil? then 0.0 else items["rangedr"] end
  dr_meelee = if items["meeleedr"].nil? then 0.0 else items["meeleedr"] end
  dr_rm = (dr_range + dr_meelee) / 2.0
  result["dr_rm"] = dr_rm

  total_dr = 1.0 - (1.0-dodge_chance)*(1.0-dr_armor)*(1.0-dr_res)*(1.0-dr_rm)*(1.0-dr_char)
  result["total_dr"] = total_dr

  block_chance = stats["blockChance"]
  block_amount_min = stats["blockAmountMin"]
  block_amount_max = stats["blockAmountMax"]
  # TODO block

  ehp = life / (1.0-total_dr)
  result["ehp"] = ehp

  pretty_print result if verbose
  result
end

def get_dodge_chance dex
  return (([([dex-1000, 7000]).min,0]).max*0.01 +
      ([([dex-500, 500]).min, 0]).max*0.02 +
      ([([dex-100, 400]).min, 0]).max*0.025 +
      ([dex, 100]).min*0.1) / 100.0
end

def effective_disc stats, items, verbose=false
  result = {}

  disc = 30.0 + if items["disc"].nil? then 0.0 else items["disc"] end
  result["disc"] = disc

  discreg = 1.0 + if items["discreg"].nil? then 0.0 else items["discreg"] end
  result["discreg"] = discreg

  erp = disc / (14-2*discreg) * 14
  result["erp"] = erp

  pretty_print result if verbose
  result
end

def effective_fury stats, items, verbose=false
  result = {}

  fury = 100.0 + if items["fury"].nil? then 0.0 else items["fury"] end
  result["fury"] = fury

  furyreg = -3.0 + if items["furyreg"].nil? then 0.0 else items["furyreg"] end
  result["furyreg"] = furyreg

  erp = fury / (14-2*furyreg) * 14
  result["erp"] = erp

  pretty_print result if verbose
  result
end

def unbuffed_dps stats, items, mainhand, offhand, char, buffs, verbose=false
  result = {}

  weapons = [mainhand, offhand].delete_if do |w| w.nil? end
  dual_wield = weapons.size == 2
  damage = []
  aps = []

  case char
  when "barbarian"
	mainstat = stats["strength"].to_f
  when "demon-hunter", "monk"
	mainstat = stats["dexterity"].to_f
  when "wizard", "witch-doctor"
	mainstat = stats["intelligence"].to_f
  else
	puts "unknown character: " + char
  end
  result["mainstat"] = mainstat

  cc = 0.05 + if items["cc"].nil? then 0.0 else items["cc"] end
  cd = 0.5 + if items["cd"].nil? then 0.0 else items["cd"] end
  ias = if items["ias"].nil? then 0.0 else items["ias"] end
  ed = 0.0
  pvped = if items["dmg_vs_elites"].nil? then 0.0 else items["dmg_vs_elites"] end

  additional_dmg = if items["min"].nil? then 0.0 else items["min"] end
  additional_dmg += if items["max"].nil? then 0.0 else items["max"] end
  additional_dmg /= 2.0
  result["additional_dmg"] = additional_dmg

  weapons.each do |weapon|
	  weapon_dmg = (weapon.min + weapon.max)/2.0
	  result["weapon_dmg"] = weapon_dmg

	  base_dmg = weapon_dmg + additional_dmg
	  result["base_dmg"] = base_dmg

	  elemental_dmg = (weapon.elemin+weapon.elemax)/2.0
	  calculated_wdps = (weapon_dmg + elemental_dmg)*weapon.aps
	  if calculated_wdps != weapon.dps then puts "WARNING: calculated_wdps #{calculated_wdps} != weapon.dps #{weapon.dps}" end
	  unless items["elemental_ed"].nil?
		elemental_dmg += base_dmg * items["elemental_ed"]
	  end
	  result["elemental_dmg"] = elemental_dmg

	  damage << (base_dmg + elemental_dmg)
	  aps << weapon.aps
  end

  if buffs.include? "focused-mind"
    ias += 0.03
  end
  case char
  when "barbarian"
	if buffs.include? "battle-rage"
	  if buffs.include? "maraudar's-rage"
		ed += 0.3
      else
		ed += 0.15
	  end
	  cc += 0.03
	end
	if buffs.include? "wrath-of-the-berserker"
	  cc += 0.1
	  ias += 0.25
	end
	if buffs.include? "ruthless"
	  cc += 0.05
	  cd += 0.5
	end
	if buffs.include? "weapon-master"
	  case mainhand.wtype
	  when "MightyWeapon1H"
	    # TODO 3 fury each hit?!
	  when "Mace", "Axe", "Axe2H"
	    cc += 0.1
	  when "Sword", "Dagger"
		ed += 0.15
	  when "Polearm", "Spear"
	    ias += 0.1
	  else
	    puts "WARNING: unknown wtype " + mainhand.wtype
	  end
	end
  when "demon-hunter"
	if buffs.include? "archery"
	  case mainhand.wtype
	  when "Bow"
		ed += 0.15
	  when "HandXbow"
	    cc += 0.1
	  when "Crossbow"
	    cd += 0.5
	  else
	    puts "WARNING: unknown wtype " + mainhand.wtype
	  end
	end
  when "wizard"
    if buffs.include? "glas-cannon"
	  ed += 0.15
	end
  end
  result["cc"] = cc
  result["cd"] = cd
  result["ias"] = ias
  result["ed"] = ed
  result["pvped"] = pvped

  baps = if items["baps"].nil? then 0.0 else items["baps"] end
  aps.map! do |a| baps+a end
  damage.map! do |dmg| dmg * (1.0 + ed) * (1.0 + pvped) end
  result["damage"] = damage
  result["aps"] = aps
  aps_total = if dual_wield then 2 * aps[0] * aps[1] * (1.15+ias) / (aps[0] + aps[1]) else aps[0] * (1.0+ias) end
  result["aps_total"] = aps_total
  unbuffed_dps = (1.0+mainstat/100.0) * (1.0+cc*cd) * aps_total * if dual_wield then (damage[0] + damage[1])/2 else damage[0] end
  result["dps"] = unbuffed_dps

  pretty_print result if verbose
  result
end

def pretty_print scores, w=20
  puts "".ljust(50, ".")
  scores.each do |k, v|
    res = if [Float, Fixnum].include? v.class
      sprintf("%.3f", v)
	elsif v.class == Array
	  v.map do |i| sprintf("%.3f", i) end.join ", "
	else
	  v.to_s + v.class.to_s
	end
	puts "\t" + (k+":").ljust(w, ".") + res.rjust(w, ".")
  end
end

verbose = false

# char specific passive skill buffs
buffs = ["character",

         # barbarian
         "weapon-master",
         "ruthless",
         #"battle-rage",
         #"maraudar's-rage",
         #"wrath-of-the-berserker",

         # demon hunter
	     "archery",

		 # monk
		 "one-with-everything",

         # wizard
         "glas-cannon",

         # followers
         #"focused-mind",
        ]

players = [
  #{ "name" => "Darai", "tag" => "Rorschach", "number" => 2926, "exclude" => nil },
  #{ "name" => "Yan", "tag" => "Scorpion", "number" => 2883, "chars" => "demon-hunter", "exclude" => nil },
  #{ "name" => "Slovenka", "tag" => "Bitsurugi", "number" => 2597, "exclude" => nil },
  #{ "name" => "Alizee", "tag" => "Sawyer", "number" => 2666, "exclude" => nil },
  #{ "name" => "Karl", "tag" => "Karl", "number" => 2673, "exclude" => nil },
  #{ "name" => "Clemenza", "tag" => "Kamhul", "number" => 2452, "exclude" => nil },
  #{ "name" => "Poisonivy", "tag" => "Antili", "number" => 2847, "exclude" => nil },
  #{ "name" => "Paradogz", "tag" => "Paradogz", "number" => 2133, "exclude" => nil },
  #{ "name" => "Anakin", "tag" => "Anakin", "number" => 2978, "exclude" => nil },
  #{ "name" => "Hillarius", "tag" => "Hillarius", "number" => 1372, "exclude" => nil },

  # Barbarians
  #{ "name" => "Pulsedraft", "tag" => "Pulsedraft", "number" => 2965, "chars" => ["barbarian"], "exclude" => ["Pooliemuli", "Cuzlure", "BlasiHasi", "TheHoff"] },
  #{ "name" => "Braveheart", "tag" => "Braveheart", "number" => 2324, "chars" => ["barbarian"], "exclude" => ["Astus", "Cuirass", "Auktionshaus", "Bullseye"] },
  #{ "name" => "Quickness", "tag" => "Quickness", "number" => 1919, "chars" => ["barbarian"], "exclude" => nil },
  #{ "name" => "Johni", "tag" => "JOHNi", "number" => 2140, "chars" => ["barbarian"], "exclude" => ["RINGEDiamant", "R\u00FCstungen"] },

  # Demon Hunters
  { "name" => "Freaky", "tag" => "Alexander", "number" => 2557, "chars" => ["demon-hunter"], "exclude" => ["Alexander"] },
  { "name" => "Onkelfeix", "tag" => "Onkelfeix", "number" => 1125, "chars" => ["demon-hunter"], "exclude" => ["Tradeheini", "Ingeborg"] },
  { "name" => "Xerxes", "tag" => "Xerxes", "number" => 2516, "chars" => ["demon-hunter"], "exclude" => ["Kenny", "Horatio", "hurine"] },

  # Monks
  #{ "name" => "Raky", "tag" => "raky", "number" => 2522, "chars" => ["monk"], "exclude" => nil },
  #{ "name" => "Psi", "tag" => "Psi", "number" => 2724, "chars" => ["monk"], "exclude" => nil },
  #{ "name" => "Lokk", "tag" => "lokk", "number" => 2851, "chars" => ["monk"], "exclude" => nil },

  # Witch Doctors
  #{ "name" => "Sinured", "tag" => "Sinured", "number" => 2182, "chars" => ["witch-doctor"], "exclude" => ["Azula"] },
  #{ "name" => "Apocalypto", "tag" => "Apocalypto", "number" => 2474, "chars" => ["witch-doctor"], "exclude" => nil },
  #{ "name" => "Anocsa", "tag" => "Anocsa", "number" => 2133, "chars" => ["witch-doctor"], "exclude" => nil },

  # Wizards
  #{ "name" => "Hamster", "tag" => "pawhi", "number" => 2897, "chars" => ["wizard"], "exclude" => nil },
  #{ "name" => "Xenter", "tag" => "Xenter", "number" => 2860, "chars" => ["wizard"], "exclude" => ["Xentercore"] },
  #{ "name" => "SirBacke", "tag" => "Alexander", "number" => 21697, "chars" => ["wizard"], "exclude" => nil },
  #{ "name" => "Koenig", "tag" => "Koenig", "number" => 2201, "chars" => ["wizard"], "exclude" => ["WonderWoman"] },
  #{ "name" => "Silencer", "tag" => "Silencer", "number" => 2339, "chars" => ["wizard"], "exclude" => ["Seran"] },
]

players.each do |player|
  profile = Diablo3::Api::Client::Profile.new(player["tag"], player["number"])

  puts player["name"]
  profile.heroes.each do |hero|
	if player["chars"].include? hero.class_name
	  if not player["exclude"].nil? and player["exclude"].include? hero.name
		puts "Excluded" if verbose
		next
	  end
      items, mainhand, offhand = parse_items hero
	  attributes = merge_items items
	  if mainhand.nil?
		puts "Skipping mule" if verbose
		next
	  end
	  dual_wield = !(mainhand.nil? or offhand.nil?)
	  puts hero.stats if verbose

      puts "Char: #{hero.name} (#{hero.class_name})"
      ehp = effective_life hero.stats, attributes, char=hero.class_name, buffs, mlvl=63, verbose=verbose
      dps = unbuffed_dps hero.stats, attributes, mainhand, offhand, hero.class_name, buffs, verbose=verbose
      aps = dps["aps_total"]
      ms = if attributes["ms"].nil? then 0.0 else attributes["ms"] end
      ms = [ms.to_f, 25.0].min
	  erp = 0.0
	  pvp = 0.0
	  case hero.class_name
	  when "barbarian" # TODO parse fury + regen
        erp = effective_fury hero.stats, attributes, verbose=verbose
        pvp = (ehp["ehp"]/141421.4) * (dps["dps"]/141421.4) * (1.0+erp["erp"])**0.1 * (1.0+aps)**0.1 * (1.0+ms)**0.1
	  when "demon-hunter"
        erp = effective_disc hero.stats, attributes, verbose=verbose
        pvp = (ehp["ehp"]/141421.4) * (dps["dps"]/141421.4) * (1.0+erp["erp"])**0.1 * (1.0+aps)**0.1 * (1.0+ms)**0.1
	  else
	    puts "WARNING: unknown character"
		next
	  end

	  result = {"EHP" => ehp["ehp"], "ERP" => erp["erp"], "DPS" => dps["dps"], "APS" => aps, "MS" => ms, "PVP" => pvp}
	  pretty_print result, w=10 if pvp > 1.0
    end
  end

end

https://github.com/murphyslaw/diablo3-api-client is required for this script.

Explanation (German)

Legende:

EHP: Effective Health Points. Was das ist sollte ja mittlerweile jedem klar sein.

EDP: Effective Discipline Points. Hier wird die Disziplinregeneration reingerechnet. Als Grundlage wird dabei der Skill Smoke Screen (SS) genommen. Dieser hat einen Cooldown von 2 Sekunden, kostet 14 Disziplin und es wird angenommen, dass er immer neu gecastet wird. Mit den EDP kann man direkt ausrechnen wie oft man hintereinander SS casten kann. Bei 84 EDP kann man z. B. 84/14 = 6 mal SS casten. Die Formel dafür ist:

EDP = 14_Disc / (14-2_Discreg)

DPS: Damage Per Second.

APS: Attacks Per Second.

MS: Movement Speed.

Score: Ein Punktwert, der die Eignung eines Charakter für PvP abschätzt. Je mehr, desto besser. Im Moment wird er durch folgende Formel berechnet:

Score = (EHP_DPS_(1+APS)^0.1_(1+EDP)^0.1_(1+MS)^0.1)/20.000.000.000

Das ganze hat folgenden Hintergrund: angenommen Spieler 1 hat EHP_1 Effective Health Points und DPS_1 Damage Per Second und Spieler 2 EHP_2 und DPS_2. Dann killt Spieler 1 Spieler 2 theoretisch in EHP_2/DPS_1 Sekunden und umgekehrt. Damit Spieler 1 Spieler 2 schlägt, muss Spieler 1 länger leben, d. h.

EHP_1/DPS_2 > EHP_2/DPS_1

Das lässt sich umstellen zu

EHP_1 * DPS_1 > EHP_2 * DPS_2

Man kann alle Charaktere direkt mit dem Wert EHP*DPS für PvP ranken. So wird das bei diabloprogress.com auch gemacht. Das setzt aber voraus, dass sich die beiden Spieler nur gegenüber stehen und stumpfsinnig aufeinander einballern.

Tatsächlich gibt es allerdings noch weitere Faktoren, die zwar nicht direkt den Killspeed, sehr wohl aber die Überlebensfähigkeit beeinflussen. Das sind der MS, der das Ausweichen und Abhauen vereinfacht, die APS, die die Beweglichkeit ebenfalls erhöhen und die EDP, die einen öfter gegen Schaden immun macht, je höher sie ist. Da utopisch hohe Werte allerdings nicht so viel besser als mittelgute Werte sind, sollte der Faktor mit dem sie den PvP-Score beeinflussen allerdings nicht so stark sein, wie z. B. bei den DPS. Stattdessen nimmt der Einfluss mit steigendem Wert immer weiter ab. Deshalb ist hier der Exponent 0.1.