2021-04-01 06:52:43 +00:00
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theorySpeeds = [4.3, 3.1, 2.5, 2.05, 1.5, 0.83, 0.51]
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realSpeeds = [] # TODO
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atkSpd = 6
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2021-04-06 21:53:24 +00:00
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#spellCycle = [1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2]
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#spellDelay = [0.5, 0, 0.5, 0.5, 0, 0.5, 0.5, 0, 0.5, 0.5, 0, 0.5, 0.5, 0, 0.5, 0.5, 0, 0.5, 1, 0.5]
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spellCycle = [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2]
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spellDelay = [0.5, 0, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 0.5]
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#spellCycle = [-1, 1, 0, 2, 1, 1]
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#spellDelay = [0.4312345, 0, 0.4, 0.4, 0.4, 0.4]
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2021-04-01 06:52:43 +00:00
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#spellCycle = [9, 0, 9, 0, 10, 0, 0]
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#spellDelay = [0, 1.4, 0, 1.4, 0, 1.3, 1.3]
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2021-04-06 21:53:24 +00:00
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#delayCycle = [1.2, 0, 0.4, 0.4, 0.4, 0.4]
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#spellCycle = spellCycle*8
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#spellDelay = spellDelay*4 + delayCycle + spellDelay*2 + delayCycle
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2021-04-01 06:52:43 +00:00
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simulation_end = 100
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2021-04-06 21:53:24 +00:00
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#manaRegens = [5, 0, 15]
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#manaSteals = [9, 13, 0]
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manaRegens = [0, 0]
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manaSteals = [8, 11]
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2021-04-01 06:52:43 +00:00
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import random
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import math
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import statistics
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def simulate(manaRegen, manaSteal, spellCycle, spellDelay, simulation_end, atkSpd):
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realSpeed = theorySpeeds[atkSpd]
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realDt = 1/realSpeed
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print(realDt)
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stealChance = (1/realSpeed) / 3
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lastAttackTime = 0
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lastManaTime = -random.random()
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lastMRTime = lastManaTime + random.randint(-4, 0)
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currentTime = 0
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currentMana = 20
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times = [0]
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manas = [20]
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colors = [0]
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numSpells = len(spellCycle)
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currentSpell = 0
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mrDisabled = False
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failedCasts = 0
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lost_mana = 0
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while currentTime < simulation_end:
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spellCost = spellCycle[currentSpell]
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spellTime = spellDelay[currentSpell]
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currentTime += spellTime
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if currentTime >= lastManaTime + 1:
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mana_gained = math.floor(currentTime - lastManaTime)
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if not mrDisabled:
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currentMana = min(20, currentMana + mana_gained)
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else:
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currentMana = max(0, currentMana - mana_gained)
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lastManaTime += mana_gained
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if currentTime >= lastMRTime + 5:
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mr_proc = math.floor((currentTime - lastMRTime) / 5)
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if not mrDisabled:
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mana_nocap = currentMana + mr_proc * manaRegen
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currentMana = min(20, mana_nocap)
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lost_mana += mana_nocap - currentMana
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else:
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lostMana += mr_proc * manaRegen
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lastMRTime += 5 * mr_proc
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times.append(currentTime)
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manas.append(currentMana)
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if spellCost < 0:
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mrDisabled = True
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spellCost *= -1
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else:
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mrDisabled = False
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if spellCost == 0:
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if currentTime - lastAttackTime > realDt:
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lastAttackTime = currentTime
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#currentMana = min(20, currentMana + manaSteal * stealChance)
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if random.random() < stealChance:
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mana_nocap = currentMana + manaSteal
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currentMana = min(20, mana_nocap)
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lost_mana += mana_nocap - currentMana
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colors.append(0)
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elif currentMana > spellCost:
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currentMana -= spellCost
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colors.append(0)
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else:
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failedCasts += 1
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colors.append(1)
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currentSpell = (currentSpell + 1) % numSpells
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return ((times, manas, colors), failedCasts, lost_mana)
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plot = True
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seeds = list(range(1000))
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results = []
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results2 = []
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import matplotlib.pyplot as plt
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for (manaRegen, manaSteal) in zip(manaRegens, manaSteals):
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result = []
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result2 = []
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for seed in seeds:
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random.seed(seed)
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((times, manas, colors), failedCasts, lost_mana) = simulate(manaRegen, manaSteal, spellCycle, spellDelay, simulation_end, atkSpd)
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result.append(failedCasts)
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result2.append(lost_mana)
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print(f"({manaRegen}+{manaSteal}) Failed {failedCasts} casts!")
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if seed == 0:
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plt.figure()
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plt.scatter(times, manas, c=colors)
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plt.xlabel("Time (seconds)")
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plt.ylabel("Mana")
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plt.title(f"Mana steal simulation ({manaRegen} mr {manaSteal} ms)")
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results.append(result)
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results2.append(result2)
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print("----------------")
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averages = [statistics.mean(result) for result in results]
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maxs = [min(result) for result in results]
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mins = [max(result) for result in results]
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averages2 = [statistics.mean(result) for result in results2]
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maxs2 = [min(result) for result in results2]
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mins2 = [max(result) for result in results2]
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for (manaRegen, manaSteal, failedCasts, maxk, mink, lostMana, minl, maxl) in zip(manaRegens, manaSteals, averages, mins, maxs, averages2, mins2, maxs2):
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print(f"({manaRegen}+{manaSteal}) on average failed {failedCasts} casts (max {maxk} min {mink}) and lost {lostMana} mana (max {maxl} min {minl})")
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plt.show()
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