Files
2024-04-04 17:58:47 +02:00

10277 lines
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "cb90833d",
"metadata": {},
"outputs": [],
"source": [
"badfraction=1/3\n",
"def dumbforwardinggoodbadweakprob(badvalfraction):\n",
" badprob=badvalfraction\n",
" goodprob=(1-badprob)^2\n",
" weakprob=1-badprob-goodprob\n",
" return(goodprob,badprob,weakprob)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "ff900e74",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.381966011250105, (0.381966011250105, 0.381966011250105, 0.236067977499790))"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"RR(3-sqrt(5))/2,dumbforwardinggoodbadweakprob(RR(3-sqrt(5))/2)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "42a80695",
"metadata": {},
"outputs": [],
"source": [
"goodprob,badprob,wealprob=dumbforwardinggoodbadweakprob(badfraction)"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "814dcfef",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]"
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(range(19,0,-1))"
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "8970268c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<slottype.BAD: 1>, <slottype.GOOD: 0>, <slottype.WEAK: 2>]"
]
},
"execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import random\n",
"from enum import Enum\n",
"class slottype(Enum):\n",
" GOOD=0\n",
" BAD=1\n",
" WEAK=2\n",
"def randslot():\n",
" ran=random.random()\n",
" if ran < goodprob:\n",
" return slottype.GOOD\n",
" if ran > 1- badprob:\n",
" return slottype.BAD\n",
" return slottype.WEAK\n",
"def generateepoch(epochlen):\n",
" return [randslot() for slotnum in range(epochlen)]\n",
"epochlen = 600\n",
"slots=generateepoch(epochlen)\n",
"generateepoch(3)"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "9c47373f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(10,\n",
" [0.239699999999990,\n",
" 0.245999999999989,\n",
" 0.109900000000002,\n",
" 0.0500000000000004,\n",
" 0.0216999999999999,\n",
" 0.00870000000000000,\n",
" 0.00490000000000000,\n",
" 0.00200000000000000,\n",
" 0.000400000000000000,\n",
" 0.000400000000000000,\n",
" 0.000300000000000000,\n",
" 0,\n",
" 0,\n",
" 0,\n",
" 0,\n",
" 0,\n",
" 0,\n",
" 0,\n",
" 0,\n",
" 0])"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def maxadv(slots):\n",
" advs=[]\n",
" curradv=0\n",
" for slot in slots:\n",
" match slot:\n",
" case slottype.GOOD:\n",
" curradv -= 1\n",
" case slottype.BAD:\n",
" curradv += 1\n",
" advs +=[curradv]\n",
" return max(advs)\n",
"maxadvsim=0\n",
"dist=[0 for i in range(20)]\n",
"iters=10000\n",
"for i in range(iters):\n",
" adv=maxadv(generateepoch(epochlen))\n",
" if adv > maxadvsim:\n",
" maxadvsim = adv\n",
" if adv < 20 and adv >= 0:\n",
" dist[adv] += RR(1/iters)\n",
"maxadvsim,dist "
]
},
{
"cell_type": "code",
"execution_count": 89,
"id": "a736462a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1, [1, 1, 1, 1, 4, 5, 7, 9, 12, 15, 17, 21, 27, 31, 33])"
]
},
"execution_count": 89,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def randoptions(slots):\n",
" negadvoptions=1\n",
" options=[1 for i in range(15)]\n",
" for slot in slots:\n",
" match slot:\n",
" case slottype.GOOD:\n",
" for i in range(14,0,-1):\n",
" options[i]=options[i-1]\n",
" options[0]=negadvoptions\n",
" negadvoptions=1\n",
" case slottype.BAD:\n",
" for i in range(14,0,-1):\n",
" options[i]+=options[i-1]\n",
" options[0]+=negadvoptions\n",
" negadvoptions*=2\n",
" return negadvoptions,options\n",
"randoptions(generateepoch(epochlen))\n",
" \n",
" "
]
},
{
"cell_type": "code",
"execution_count": 97,
"id": "12b0b761",
"metadata": {},
"outputs": [
{
"data": {
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]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def epochssim(numepochs,epochlength):\n",
" epoch=generateepoch(epochlen)\n",
" epochoptions=[]\n",
" for i in range(numepochs):\n",
" lastepoch=epoch\n",
" epoch=generateepoch(epochlen)\n",
" negadvoptions,options=randoptions(lastepoch)\n",
" adv=maxadv(epoch)\n",
" if adv < 0:\n",
" epochoptions +=[negadvoptions]\n",
" elif adv > 14:\n",
" print(\"high adv\",adv)\n",
" else:\n",
" epochoptions +=[options[adv]]\n",
" return epochoptions\n",
"a=epochssim(10000,600)\n",
"max(a),RR(sum(a)/1000),a "
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6a33fd29",
"metadata": {},
"outputs": [],
"source": []
}
],
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"language": "sage",
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"name": "ipython",
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