Reply to thread

Message

<blockquote data-quote="GrumpyGamer" data-source="post: 6329775" data-attributes="member: 6777318">I was fiddling around and wrote a monte carlo sim for all 4 fighter fighting styles in Python.&nbsp; It takes the arguments: nrolls - number of times to run the sim.&nbsp; For example 100000 would be the same as sitting down and recording the results of a 100000 attack rounds.apr - this is the number of attacks the fighter has in a round (for twf it adds in the extra attack)cn - critical hit number.&nbsp; For the starter set martial archetype this is 20 at 1st level, 19 at 3rd level, 18, at 15th level.&nbsp; pn - proficiency bonus&nbsp;an - ability bonus ac - target AC you are attacking ndice - number of dice your weapon has dicetype - dice type your weapon usesIt returns:h - number of hitst - total damagea - average damage per round[CODE]import randomdef dicesim_gwf(nrolls, apr, cn, pn, an, ac, ndice, dicetype):&nbsp; &nbsp; t = 0&nbsp; &nbsp; h = 0&nbsp; &nbsp; for i in range(nrolls):&nbsp; &nbsp; &nbsp; &nbsp; # repeat N experiments&nbsp; &nbsp; &nbsp; for j in range(apr):&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; att = 0&nbsp; &nbsp; &nbsp; &nbsp; matt = 0&nbsp; &nbsp; &nbsp; &nbsp; att = random.randint(1,20)&nbsp; &nbsp; &nbsp; &nbsp; matt = att+pn+an&nbsp; &nbsp; &nbsp; &nbsp; if matt &gt;= ac:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; h = h+1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+an&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; if att &gt;= cn:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for k in range(ndice): #critroll 1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; if r &lt;= 2: # reroll 1 or 2&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; r = random.randint(1, dicetype)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for l in range(ndice): #critroll 2&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; if r &lt;= 2: # reroll 1 or 2&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; r = random.randint(1, dicetype)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; else:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for m in range(ndice):&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; if r &lt;= 2: # reroll 1 or 2&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; r = random.randint(1, dicetype)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r&nbsp; &nbsp; a = float(t)/nrolls&nbsp; # average dpr&nbsp; &nbsp; return h,t,adef dicesim_twf(nrolls, apr, cn, pn, an, ac, ndice, dicetype):&nbsp; &nbsp; t = 0&nbsp; &nbsp; h = 0&nbsp; &nbsp; for i in range(nrolls):&nbsp; &nbsp; &nbsp; &nbsp; # repeat N experiments&nbsp; &nbsp; &nbsp; for j in range(apr+1):&nbsp; &nbsp; &nbsp; &nbsp; att = 0&nbsp; &nbsp; &nbsp; &nbsp; matt = 0&nbsp; &nbsp; &nbsp; &nbsp; att = random.randint(1,20)&nbsp; &nbsp; &nbsp; &nbsp; matt = att+pn+an&nbsp; &nbsp; &nbsp; &nbsp; if matt &gt;= ac:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; h = h+1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+an&nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; if att &gt;= cn:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for k in range(ndice): #critroll 1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for l in range(ndice): #critroll 2&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; else:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for m in range(ndice):&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r&nbsp; &nbsp; a = float(t)/nrolls&nbsp; # average dpr&nbsp; &nbsp; return h,t,a&nbsp; &nbsp; def dicesim_arch(nrolls, apr, cn, pn, an, ac, ndice, dicetype):&nbsp; &nbsp; t = 0&nbsp; &nbsp; h = 0&nbsp; &nbsp; for i in range(nrolls):&nbsp; &nbsp; &nbsp; &nbsp; # repeat N experiments&nbsp; &nbsp; &nbsp; for j in range(apr):&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; att = 0&nbsp; &nbsp; &nbsp; &nbsp; matt = 0&nbsp; &nbsp; &nbsp; &nbsp; att = random.randint(1,20)&nbsp; &nbsp; &nbsp; &nbsp; matt = att+pn+an+2&nbsp; &nbsp; &nbsp; &nbsp; if matt &gt;= ac:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; h = h+1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+an&nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; if att &gt;= cn:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for k in range(ndice): #critroll 1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for l in range(ndice): #critroll 2&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; else:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for m in range(ndice):&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r&nbsp; &nbsp; a = float(t)/nrolls&nbsp; # average dpr&nbsp; &nbsp; return h,t,a&nbsp; &nbsp; def dicesim_duel(nrolls, apr, cn, pn, an, ac, ndice, dicetype):&nbsp; &nbsp; t = 0&nbsp; &nbsp; h = 0&nbsp; &nbsp; for i in range(nrolls):&nbsp; &nbsp; &nbsp; &nbsp; # repeat N experiments&nbsp; &nbsp; &nbsp; for j in range(apr):&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; att = 0&nbsp; &nbsp; &nbsp; &nbsp; matt = 0&nbsp; &nbsp; &nbsp; &nbsp; att = random.randint(1,20)&nbsp; &nbsp; &nbsp; &nbsp; matt = att+pn+an&nbsp; &nbsp; &nbsp; &nbsp; if matt &gt;= ac:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; h = h+1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+an+2&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; if att &gt;= cn:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for k in range(ndice): #critroll 1&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for l in range(ndice): #critroll 2&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; else:&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; for m in range(ndice):&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = random.randint(1, dicetype)&nbsp; # roll die dicetype&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; t = t+r&nbsp; &nbsp; a = float(t)/nrolls&nbsp; # average dpr&nbsp; &nbsp; return h,t,a[/CODE]Output 1st level:&gt;&gt;&gt; dicesim_duel(100000,1,20,2,3,14,1,8)(59802, 590842, 5.90842)&gt;&gt;&gt; dicesim_arch(100000,1,20,2,3,14,1,10)(69995, 622456, 6.22456)&gt;&gt;&gt; dicesim_twf(100000,1,20,2,3,14,1,6)(119667, 813139, 8.13139)&gt;&gt;&gt; dicesim_gwf(100000,1,20,2,3,14,2,6)(59745, 718465, 7.18465)Output 3rd Level:&gt;&gt;&gt; dicesim_duel(100000,1,19,2,3,14,1,8)(60419, 619405, 6.19405)&gt;&gt;&gt; dicesim_arch(100000,1,19,2,3,14,1,10)(69815, 646214, 6.46214)&gt;&gt;&gt; dicesim_twf(100000,1,19,2,3,14,1,6)(119790, 849033, 8.49033)&gt;&gt;&gt; dicesim_gwf(100000,1,19,2,3,14,2,6)(59976, 762115, 7.62115)Output 5th Level:&gt;&gt;&gt; dicesim_duel(100000,2,19,3,4,16,1,8)(120056, 1352018, 13.52018)&gt;&gt;&gt; dicesim_arch(100000,2,19,3,4,16,1,8)(140024, 1280541, 12.80541)&gt;&gt;&gt; dicesim_twf(100000,2,19,3,4,16,1,6)(180287, 1457079, 14.57079)&gt;&gt;&gt; dicesim_gwf(100000,2,19,3,4,16,2,6)(120257, 1651104, 16.51104)Output 11th Level:&gt;&gt;&gt; dicesim_duel(100000,3,19,4,5,18,1,8)(180125, 2206257, 22.06257)&gt;&gt;&gt; dicesim_arch(100000,3,19,4,5,18,1,8)(210257, 2133683, 21.33683)&gt;&gt;&gt; dicesim_twf(100000,3,19,4,5,18,1,6)(239982, 2179882, 21.79882)&gt;&gt;&gt; dicesim_gwf(100000,3,19,4,5,18,2,6)(179996, 2651385, 26.51385)I would say that the 11th level numbers are the fuzziest as you may very well be fighting mobs with less than 18 AC and you may have a magical item and/or a feat which will skew these numbers.Python is free and easy to install if you want to play around with your own inputs or change the code.TLDR: The Op is correct Fighter 1-4 does the most damage with TWF until 5th level where the fighter does the most damage with GWF.&nbsp; Outstanding wildcards that could change this recommendation are feats and magical weapons.</blockquote>

[QUOTE="GrumpyGamer, post: 6329775, member: 6777318"] I was fiddling around and wrote a monte carlo sim for all 4 fighter fighting styles in Python. It takes the arguments: [B]nrolls[/B] - number of times to run the sim. For example 100000 would be the same as sitting down and recording the results of a 100000 attack rounds. [B]apr[/B] - this is the number of attacks the fighter has in a round (for twf it adds in the extra attack) [B]cn[/B] - critical hit number. For the starter set martial archetype this is 20 at 1st level, 19 at 3rd level, 18, at 15th level. [B]pn[/B] - proficiency bonus [B]an[/B] - ability bonus [B]ac[/B] - target AC you are attacking [B]ndice[/B] - number of dice your weapon has [B]dicetype[/B] - dice type your weapon uses It returns: h - number of hits t - total damage a - average damage per round [CODE] import random def dicesim_gwf(nrolls, apr, cn, pn, an, ac, ndice, dicetype): t = 0 h = 0 for i in range(nrolls): # repeat N experiments for j in range(apr): att = 0 matt = 0 att = random.randint(1,20) matt = att+pn+an if matt >= ac: h = h+1 t = t+an if att >= cn: for k in range(ndice): #critroll 1 r = random.randint(1, dicetype) # roll die dicetype if r <= 2: # reroll 1 or 2 r = random.randint(1, dicetype) t = t+r for l in range(ndice): #critroll 2 r = random.randint(1, dicetype) # roll die dicetype if r <= 2: # reroll 1 or 2 r = random.randint(1, dicetype) t = t+r else: for m in range(ndice): r = random.randint(1, dicetype) # roll die dicetype if r <= 2: # reroll 1 or 2 r = random.randint(1, dicetype) t = t+r a = float(t)/nrolls # average dpr return h,t,a def dicesim_twf(nrolls, apr, cn, pn, an, ac, ndice, dicetype): t = 0 h = 0 for i in range(nrolls): # repeat N experiments for j in range(apr+1): att = 0 matt = 0 att = random.randint(1,20) matt = att+pn+an if matt >= ac: h = h+1 t = t+an if att >= cn: for k in range(ndice): #critroll 1 r = random.randint(1, dicetype) # roll die dicetype t = t+r for l in range(ndice): #critroll 2 r = random.randint(1, dicetype) # roll die dicetype t = t+r else: for m in range(ndice): r = random.randint(1, dicetype) # roll die dicetype t = t+r a = float(t)/nrolls # average dpr return h,t,a def dicesim_arch(nrolls, apr, cn, pn, an, ac, ndice, dicetype): t = 0 h = 0 for i in range(nrolls): # repeat N experiments for j in range(apr): att = 0 matt = 0 att = random.randint(1,20) matt = att+pn+an+2 if matt >= ac: h = h+1 t = t+an if att >= cn: for k in range(ndice): #critroll 1 r = random.randint(1, dicetype) # roll die dicetype t = t+r for l in range(ndice): #critroll 2 r = random.randint(1, dicetype) # roll die dicetype t = t+r else: for m in range(ndice): r = random.randint(1, dicetype) # roll die dicetype t = t+r a = float(t)/nrolls # average dpr return h,t,a def dicesim_duel(nrolls, apr, cn, pn, an, ac, ndice, dicetype): t = 0 h = 0 for i in range(nrolls): # repeat N experiments for j in range(apr): att = 0 matt = 0 att = random.randint(1,20) matt = att+pn+an if matt >= ac: h = h+1 t = t+an+2 if att >= cn: for k in range(ndice): #critroll 1 r = random.randint(1, dicetype) # roll die dicetype t = t+r for l in range(ndice): #critroll 2 r = random.randint(1, dicetype) # roll die dicetype t = t+r else: for m in range(ndice): r = random.randint(1, dicetype) # roll die dicetype t = t+r a = float(t)/nrolls # average dpr return h,t,a [/CODE] Output 1st level: >>> dicesim_duel(100000,1,20,2,3,14,1,8) (59802, 590842, 5.90842) >>> dicesim_arch(100000,1,20,2,3,14,1,10) (69995, 622456, 6.22456) >>> dicesim_twf(100000,1,20,2,3,14,1,6) (119667, 813139, 8.13139) >>> dicesim_gwf(100000,1,20,2,3,14,2,6) (59745, 718465, 7.18465) Output 3rd Level: >>> dicesim_duel(100000,1,19,2,3,14,1,8) (60419, 619405, 6.19405) >>> dicesim_arch(100000,1,19,2,3,14,1,10) (69815, 646214, 6.46214) >>> dicesim_twf(100000,1,19,2,3,14,1,6) (119790, 849033, 8.49033) >>> dicesim_gwf(100000,1,19,2,3,14,2,6) (59976, 762115, 7.62115) Output 5th Level: >>> dicesim_duel(100000,2,19,3,4,16,1,8) (120056, 1352018, 13.52018) >>> dicesim_arch(100000,2,19,3,4,16,1,8) (140024, 1280541, 12.80541) >>> dicesim_twf(100000,2,19,3,4,16,1,6) (180287, 1457079, 14.57079) >>> dicesim_gwf(100000,2,19,3,4,16,2,6) (120257, 1651104, 16.51104) Output 11th Level: >>> dicesim_duel(100000,3,19,4,5,18,1,8) (180125, 2206257, 22.06257) >>> dicesim_arch(100000,3,19,4,5,18,1,8) (210257, 2133683, 21.33683) >>> dicesim_twf(100000,3,19,4,5,18,1,6) (239982, 2179882, 21.79882) >>> dicesim_gwf(100000,3,19,4,5,18,2,6) (179996, 2651385, 26.51385) I would say that the 11th level numbers are the fuzziest as you may very well be fighting mobs with less than 18 AC and you may have a magical item and/or a feat which will skew these numbers. Python is free and easy to install if you want to play around with your own inputs or change the code. [B]TLDR: [/B]The Op is correct Fighter 1-4 does the most damage with TWF until 5th level where the fighter does the most damage with GWF. Outstanding wildcards that could change this recommendation are feats and magical weapons. [/QUOTE]

Verification