1244 lines
393 KiB
Plaintext
1244 lines
393 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"#import networkx as nx\n",
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"import scipy.stats as sts\n",
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"import seaborn as sns\n",
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"\n",
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"%matplotlib inline\n",
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"\n",
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"#import conviction files\n",
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"#from conviction_helpers import *\n",
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"#from conviction_system_logic3 import *\n",
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"from bonding_curve_eq import *"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"System initialization"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"hatch_raise = 100000 # fiat units\n",
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"hatch_price = .1 #fiat per tokens\n",
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"theta = .5 #share of funds going to funding pool at launch\n",
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"\n",
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"R0 = hatch_raise*(1-theta)\n",
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"#F0 = hatch_raise*theta\n",
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"S0 = hatch_raise/hatch_price\n",
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"\n",
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"kappa = 2\n",
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"V0 = invariant(R0,S0,kappa)\n",
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"P0 = spot_price(R0, V0, kappa)\n",
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"\n",
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"dust = 10**-8"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"agent initialization"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"#phi for exiting funds\n",
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"phi = 0\n",
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"\n",
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"#beta is param for armijo rule\n",
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"beta = .9\n",
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"\n",
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"#param for open loop\n",
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"rules = [\"martin\", \"step\",\"ramp\", \"sin\"] # step or \"ramp\" \"sin\" or \"martin\""
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"params= {\n",
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" 'kappa': [kappa],\n",
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"# 'lambda': [lam],\n",
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"# 'gains': [g],\n",
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"# 'rates':[1/gamma],\n",
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"# 'population':[n],\n",
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"# 'beta':[beta],\n",
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"# 'phi': [phi],\n",
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" 'invariant': [V0],\n",
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" 'dust' : [dust],\n",
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" 'rule' : rules,\n",
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" 'dP' : ['N/A', P0/4, P0/1000, P0/2],\n",
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" 'sigma': [.005,'N/A','N/A', 'N/A'],\n",
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" 'period': ['N/A', 2000,2000,2000]}"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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"initial_conditions = {'supply': S0,\n",
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" 'price': P0,\n",
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" 'reserve': R0,\n",
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" 'spot_price': P0,\n",
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" 'output_price': P0,\n",
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" }"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"{'supply': 1000000.0,\n",
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" 'price': 0.09999999999999999,\n",
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" 'reserve': 50000.0,\n",
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" 'spot_price': 0.09999999999999999,\n",
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" 'output_price': 0.09999999999999999}"
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]
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},
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"execution_count": 6,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"initial_conditions"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [],
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"source": [
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"def set_action(params, step, sL, s):\n",
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" \n",
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" R = s['reserve']\n",
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" S = s['supply']\n",
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" V0 = params['invariant']\n",
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" P=s['spot_price']\n",
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" period = params['period']\n",
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" \n",
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" if params['rule'] == 'step':\n",
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" bump = int((s['timestep'] % int(period/2) == 0))*int(s['timestep']>0)\n",
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" sign = -(-1)**int((2*s['timestep']/period))\n",
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" new_price = s['price'] + params['dP']*bump*sign\n",
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" elif params['rule'] == 'ramp':\n",
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" sign = (-1)**int((2*s['timestep']/period))\n",
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" new_price = s['price'] + params['dP']*sign\n",
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" elif params['rule'] == 'sin':\n",
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" new_price = P0 + params['dP']*np.sin(2*np.pi*s['timestep']/period)\n",
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" elif params['rule']=='martin' :\n",
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" rv = np.random.normal(0, params['sigma'])\n",
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" new_price = s['price']+s['price']*rv\n",
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" else :\n",
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" new_price = s['price']\n",
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" \n",
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" \n",
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" #print(params['rule']+': '+str(new_price))\n",
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" \n",
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" if P>new_price: #equiv: pbar(0)>phat_a\n",
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" mech = 'burn'\n",
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" \n",
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" #approx for burn s.t. p=phat\n",
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" #armijo style\n",
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" amt = S*(1-params['dust'])\n",
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"\n",
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" def pbar(amt):\n",
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" output = withdraw(amt, R,S, V0, params['kappa'])\n",
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"\n",
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" if not(output[1])>0:\n",
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" return np.Infinity\n",
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" elif amt==0:\n",
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" return P\n",
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" else:\n",
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" return output[1]\n",
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"\n",
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" if amt > params['dust']:\n",
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" while pbar(amt)< new_price:\n",
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" amt = amt*beta\n",
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"\n",
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" else: # P<phat_a; #equiv pbar(0)<phat_a\n",
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" mech = 'bond'\n",
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" #approx for buy s.t. p=phat\n",
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" #armijo style\n",
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" amt = R*(1-params['dust'])\n",
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"\n",
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" def pbar(amt):\n",
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" output = mint(amt, R,S, V0, params['kappa'])\n",
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" \n",
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" if not(output[1])>0:\n",
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" return 0\n",
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" elif amt==0:\n",
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" return P\n",
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" else:\n",
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" return output[1]\n",
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"\n",
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" if amt > params['dust']:\n",
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" while pbar(amt)> new_price:\n",
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" amt = amt*beta\n",
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" #print(mech)\n",
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" #print(amt)\n",
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" action = {'mech':mech, 'amt':amt,'pin':new_price ,'pbar':pbar(amt),'posterior':{}}\n",
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" \n",
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" if action['mech'] == 'bond':\n",
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"\n",
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" dS, pbar = mint(amt, R,S, V0, params['kappa'])\n",
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" R = R+amt\n",
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" S = S+dS\n",
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" P = spot_price(R, V0, kappa)\n",
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"\n",
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" elif action['mech'] == 'burn':\n",
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" dR, pbar = withdraw(amt, R,S, V0, params['kappa'])\n",
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" R = R-dR\n",
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" S = S-amt\n",
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" P = spot_price(R, V0, kappa)\n",
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"\n",
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" action['posterior'] = {'S':S, 'R':R,'P':P}\n",
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" \n",
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" return {'action': action}"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"outputs": [],
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"source": [
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"def update_S(params, step, sL, s, _input):\n",
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" \n",
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" action = _input['action']\n",
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" S = action['posterior']['S']\n",
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" \n",
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" key = 'supply'\n",
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" value = S\n",
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" \n",
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" return (key, value)\n",
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"\n",
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"def update_R(params, step, sL, s, _input):\n",
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" \n",
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" action = _input['action']\n",
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" R = action['posterior']['R']\n",
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" \n",
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" key = 'reserve'\n",
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" value = R\n",
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" \n",
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" return (key, value)\n",
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"\n",
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"def update_P(params, step, sL, s, _input):\n",
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" \n",
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" action = _input['action']\n",
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" P = action['posterior']['P']\n",
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" \n",
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" key = 'spot_price'\n",
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" value = P\n",
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" \n",
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" return (key, value)\n",
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"\n",
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"def update_Pbar(params, step, sL, s, _input):\n",
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" \n",
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" action = _input['action']\n",
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" pbar = action['pbar']\n",
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" \n",
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" key = 'output_price'\n",
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" value = pbar\n",
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" \n",
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" return (key, value)\n",
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"\n",
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"def capture_Pin(params, step, sL, s, _input):\n",
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" \n",
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" Pin = _input['action']['pin']\n",
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" if Pin== 0:\n",
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" print(_input['action']) \n",
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" key = 'price'\n",
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" value = Pin\n",
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" \n",
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" return (key, value)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {},
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"outputs": [],
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"source": [
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"# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # \n",
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"# The Partial State Update Blocks\n",
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"partial_state_update_blocks = [\n",
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" {\n",
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" 'policies': {\n",
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" 'act': set_action,\n",
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" },\n",
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" 'variables': {\n",
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" 'supply': update_S, \n",
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" 'reserve': update_R,\n",
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" 'spot_price': update_P,\n",
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" 'output_price': update_Pbar,\n",
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" 'price': capture_Pin,\n",
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" }\n",
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" }\n",
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"]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {},
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"outputs": [],
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"source": [
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"time_periods_per_run = 4000\n",
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"monte_carlo_runs = 1\n",
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"\n",
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"from cadCAD.configuration.utils import config_sim\n",
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"simulation_parameters = config_sim({\n",
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" 'T': range(time_periods_per_run),\n",
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" 'N': monte_carlo_runs,\n",
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" 'M': params\n",
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"})"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 9.999999999999999e-05, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n",
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"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 9.999999999999999e-05, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n",
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"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 9.999999999999999e-05, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n",
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"[{'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'martin', 'dP': 'N/A', 'sigma': 0.005, 'period': 'N/A'}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'step', 'dP': 0.024999999999999998, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'ramp', 'dP': 9.999999999999999e-05, 'sigma': 'N/A', 'period': 2000}}, {'N': 1, 'T': range(0, 4000), 'M': {'kappa': 2, 'invariant': 20000000.0, 'dust': 1e-08, 'rule': 'sin', 'dP': 0.049999999999999996, 'sigma': 'N/A', 'period': 2000}}]\n"
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]
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}
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],
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"source": [
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"from cadCAD.configuration import append_configs\n",
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"# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #\n",
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"# The configurations above are then packaged into a `Configuration` object\n",
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"append_configs(\n",
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" initial_state=initial_conditions, #dict containing variable names and initial values\n",
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" partial_state_update_blocks=partial_state_update_blocks, #dict containing state update functions\n",
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" sim_configs=simulation_parameters #dict containing simulation parameters\n",
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")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"metadata": {},
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"outputs": [],
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"source": [
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"from tabulate import tabulate\n",
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"from cadCAD.engine import ExecutionMode, ExecutionContext, Executor\n",
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"from cadCAD import configs\n",
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"import pandas as pd\n",
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"\n",
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"exec_mode = ExecutionMode()\n",
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"multi_proc_ctx = ExecutionContext(context=exec_mode.multi_proc)\n",
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"run = Executor(exec_context=multi_proc_ctx, configs=configs)"
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]
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},
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{
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"cell_type": "code",
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|
"execution_count": 13,
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|
"metadata": {},
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|
"outputs": [
|
|
{
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"name": "stdout",
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|
"output_type": "stream",
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|
"text": [
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"\n",
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" __________ ____ \n",
|
|
" ________ __ _____/ ____/ | / __ \\\n",
|
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" / ___/ __` / __ / / / /| | / / / /\n",
|
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" / /__/ /_/ / /_/ / /___/ ___ |/ /_/ / \n",
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" \\___/\\__,_/\\__,_/\\____/_/ |_/_____/ \n",
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" by BlockScience\n",
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" \n",
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"Execution Mode: multi_proc: [<cadCAD.configuration.Configuration object at 0x7f737b45ad50>, <cadCAD.configuration.Configuration object at 0x7f737b45aed0>, <cadCAD.configuration.Configuration object at 0x7f737b463050>, <cadCAD.configuration.Configuration object at 0x7f737b463190>]\n",
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"Configurations: [<cadCAD.configuration.Configuration object at 0x7f737b45ad50>, <cadCAD.configuration.Configuration object at 0x7f737b45aed0>, <cadCAD.configuration.Configuration object at 0x7f737b463050>, <cadCAD.configuration.Configuration object at 0x7f737b463190>]\n"
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]
|
|
}
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|
],
|
|
"source": [
|
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"i = 0\n",
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"verbose = False\n",
|
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"results = {}\n",
|
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"for raw_result, tensor_field in run.execute():\n",
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" result = pd.DataFrame(raw_result)\n",
|
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" if verbose:\n",
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" print()\n",
|
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" print(f\"Tensor Field: {type(tensor_field)}\")\n",
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" print(tabulate(tensor_field, headers='keys', tablefmt='psql'))\n",
|
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" print(f\"Output: {type(result)}\")\n",
|
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" print(tabulate(result, headers='keys', tablefmt='psql'))\n",
|
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" print()\n",
|
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" results[i] = {}\n",
|
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" results[i]['result'] = result\n",
|
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" results[i]['simulation_parameters'] = simulation_parameters[i]\n",
|
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" i += 1\n",
|
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" "
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]
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},
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|
{
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|
"cell_type": "code",
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|
"execution_count": 14,
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|
"metadata": {},
|
|
"outputs": [
|
|
{
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|
"data": {
|
|
"text/plain": [
|
|
"0.10015990554705045"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"experiment_index = 0\n",
|
|
"results[experiment_index]['result'].price[1]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"{'kappa': 2,\n",
|
|
" 'invariant': 20000000.0,\n",
|
|
" 'dust': 1e-08,\n",
|
|
" 'rule': 'martin',\n",
|
|
" 'dP': 'N/A',\n",
|
|
" 'sigma': 0.005,\n",
|
|
" 'period': 'N/A'}"
|
|
]
|
|
},
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"results[0]['simulation_parameters']['M']"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def assign_run(df, T = time_periods_per_run):\n",
|
|
" temp_df = df.reset_index()\n",
|
|
" temp_df[\"run\"] = temp_df['index'].apply(lambda x: int(np.floor(x/(T+1))))\n",
|
|
" \n",
|
|
" return temp_df.drop(\"index\", axis =1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def append_parameters(result, experiment_index):\n",
|
|
" sim_params = result['simulation_parameters']\n",
|
|
" params = sim_params['M']\n",
|
|
" frame = result['result']\n",
|
|
" frame[\"experiment_index\"] = experiment_index\n",
|
|
" for key in params.keys():\n",
|
|
" frame[key] = params[key]\n",
|
|
" \n",
|
|
" return frame"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def package_results(results):\n",
|
|
" dataframes = [ assign_run(append_parameters(results[experiment_index],experiment_index)) for experiment_index in range(i)]\n",
|
|
" return pd.concat(dataframes)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"df = package_results(results)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {
|
|
"scrolled": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
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"text/plain": [
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|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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\n",
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"text/plain": [
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"<Figure size 432x288 with 1 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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\n",
|
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"text/plain": [
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|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[['timestep','experiment_index','run','price', 'spot_price']].groupby(['run','experiment_index']).plot(x='timestep', y=['price', 'spot_price'])\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"df['err'] = df.price-df.spot_price\n",
|
|
"df['abs_err']= df.err.apply(abs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x7f739caad2d0>"
|
|
]
|
|
},
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[df.rule=='step'].err.plot()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x7f739ca43690>"
|
|
]
|
|
},
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[df.rule=='step'].iloc[1995:2050].plot(y=['price', 'spot_price'])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x7f739c99de50>"
|
|
]
|
|
},
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[df.rule=='step'].iloc[1995:2050].plot(y=['err','abs_err'])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x7f739c5a56d0>"
|
|
]
|
|
},
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df.abs_err.plot(logy=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {
|
|
"scrolled": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"run experiment_index\n",
|
|
"0 0 AxesSubplot(0.125,0.125;0.775x0.755)\n",
|
|
" 1 AxesSubplot(0.125,0.125;0.775x0.755)\n",
|
|
" 2 AxesSubplot(0.125,0.125;0.775x0.755)\n",
|
|
" 3 AxesSubplot(0.125,0.125;0.775x0.755)\n",
|
|
"dtype: object"
|
|
]
|
|
},
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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I+tH2HcmcSZgNuozeb3UWqX518f8twKQP12eY4azK0KI30VmxrGQP+t0zG5MNMgDf/W5ykDTh2cyFuEdLzQMF3rBZK6L+LIxwYeshW0wgsh69AkibtjlJurd2+4HUaOFYWQJF+bmY9OE6y8gpM65+/ivTCBwzp7Ydd7yzImWTN2PNdvtFUur6CiBzVvPDviP4QTPbPp7InElc8tSC1Gft+6WW+9qEwWhQoxBbFIWl7+SMptVLNu/Bxf+3AE1rFeHzm0ekfbffoNMwK8vIVCFDQgArt9o74f1IKmnn7D94tDQt4kk7k1j8/W50aVITB46W4rXFJZhwchvDSCMz5m/YmTbrfuHLTejbqk7q79mrzBdLPv3ZxtRnNSJn5bZ9hkn7zDosVWm+vWQLxvVqhu1KhNj2fdZhqUaDkiPHyyw7xoQQyJGIpUsIINfiNCdKQn0H/jlrLa4b0T7tO/XZVKMctZzcoYGlsnpm/kZcMrjY8DvVL2jlJ/OLrFASgP30W/u1dvGXtrMqS4iUM89opHa8NIHNuw65UhB2crrNkSSEwPcS0Tym8pQlnJs6VJ+EicIz6vB/8Xi6A9GqSvU+vKGYZLbuPYKFuhmTlXnqgxXbMXnuelw9rK15JRIkhEilVHGK9lmyQo1s+42NafFPry1L+WCAcjPCjn1HcM5jn2NsjyY4cKQUH6/9EUPa1kPPFuURVPoFiid1aIB5Oh/LH19blvr8+lclGe1thnZRnjqy33PouOEzaTc6//1LSzCkbX2MfjjTN2DEtz8ezDh265vLcU7fZqa/kX3SyxICBywGIk4DB9xw6FiZ5Xty/4zVpkoidc57q/Hbk729B3Zkhblpy57DtknXzKbnL2gicbQdtVHHeawsYRu54xb9QjsAaFO/mu3vEsI8ukuGCc8tRqfb3nf0GyOfRBouJkXa26OOBLXHztUpGbu0CH93YA6cueIHHCtNZOz94cWkI6v0ZWUs0Zmo1Dbar4xEv/p+d2q9jj4iTb9AUeZxMTPD6NmtSccxU5OexWi9yD9mWocbA84CBIxYu32/5fMne0sTQlgGjjiZSbjltcUlaQEPetzkEDtyvAztNItz/SDWSiL1ohwptZwSA+YPh9Zen6YkDF7y46VCesGWU2T8D0YkhPC0oM6J6Q1ItovqY8gJqC3U+1CnqnkIs4yv4F+z7DslABj/7GIs37o3oy28tOuKrXsxVUkIaEXbW2Zgtk3uq7wcyhiF6wcx2/YeSeV4sjNdehlUyGIVpGGFV0fr8bKE5Rhl6uffSW0alRDC8vm2GgR8tt6/DZ22OXCsj3nkE4xVIrRObF/f8Jyjpc4tB3bE2ty04aeDaCJ5rqr51+rs89rV0t3vmInHL+qLlnWrGjbkrkPHMMlmrYFfLP5+Fzb8lDmd1iOAjHBSK976egu27DmMa4a3cyXXI3PWpdZbmClMr4/ge8t/wC/6Nk8LPNCjnUgU5uUY2l7/7XGrUC8ziXMes47P1/KCwey0VpV8nNalEVZs3Yft+45k+nBE5mxLZc/hpD/g7ndXZqweViORvHLoWCnWuEwIaEXQcf1GebOMSAhr89jri80dxxf+90tsfGCsY9mMcJLDS/VrHS0tM/1dEDOgWM8knND/3tn47ycbcJpuActHusUzE55bjNMnfWI4EjrbwZ4QXpHtZJyuvL3+5SWpiBE3rNpW3jH4NZP458w1uEqTZl19kAe1qWf2kzRzk9/OOXX1vluHtxWt6lVFz+a10o59uDpzNleWEKhRlI9+xXVQJkTGYkN1DGOUgVfdOe//Pv0Ob+qiYGbfeLKnFCgqf/9gDX6mW3GfLp+7zj4OyfuApBwPWZjHrKIKgXQ/UKEmZ9Wsldsz1qX4Tce/vJ/Wrz2kybQQhC8lNCVBRJ2J6HEieo2IrgqiDqPdxszwMy9RkLh9p77YsNNVim+tqcJ0JuGwg3j0w/XYvKt8Wq12MFYLifzOwqkVubqyDmPsJLnkfU7IJZKaaZUlBPJyKbmgT7MZkYq6V7WTZ1rFSeSTGXaL+WQ6+3rVCjKOtfdppuMVIYRtmKkVWj+Q9j258plFjvYHsVO2ew8dxzPzN6aFYOvRWj+OBzCTkDI3EdFTAM4AsEMI0U1zfDSARwDkAvivEOIBszKEEKsATCCiHADPAHjMi+BGOAkz/Y/BzmRxxO0eDH7sgW0WYSSQDB09zyYlghn5VrGHqTqCG3EG5GpJlp1DUlP+soRADhFylQV9+s7i3WXb0KWpO3OaH5dXlG89fpSxexud86kP9nzZyCwrJs3xz6wss1DUDKt2rFetIG1NjgxGOa68IjuTmApgtPYAEeUCmAxgDIAuAC4goi5E1J2I3tX9a6j85iwA0wH4636vwIQ9O9c+7nkmnfnbS7bi9EmfpCJvnNKybjKqy0r/+W26/npTeeCAl5fajkNHS2039xFC4FhZchVybk4yNYjRff7b++7Mhn5cnt1s5IsN5XH/N5zawfAco/1VXl642eBMZ3Jp96pwy1MSQQd2fKSYlbyYZa1mZEZrUey43malthuklIQQYh4AvfoeAGC9EGKDEOIYgJcAjBNCfCOEOEP3b4dSzjtCiDEALvTzIioyUe4PrM/d5Beqv8FqvwC/r/qe6eWJ7IJUElaLAFWWKamvn/9yU1JJJIThhj5WeNlFTwa7JtLaxJ005/iT2riUKH6oa1+8zEzdRomZIZMPzilefBLNAGiHBSXKMUOIaBgRTSKiJ2AxkyCi8US0iIi8b4dWEYjQzxfE7mlAee4gq7j6oDaiBwCJvYtcU2hjpgHSwysL83Jcrca/4x3zHfb8MDiZ5UvzWtseiW1QrThwNJz9rzs3qWl/koKXQYdf0V7qjCSITcRCc1wLIT4SQvxOCPFbIcRki/OmCCH6CSH6hSVbnAl7JqF93oNSEjLbobpNYyJDUDMkAMhzqIGq5FunXDHDShmFsU7CLf/3qTczjzYAQkVmvYoTqhXkOpodeDE3+TWTWLRxV2A7dXpRElsAtND83Vw55hl1Pwk/ysp2oowY9CNKxoz5BrlstPzNRVSPLEFel4zD/Tkl1Xb3ZrVcK2Kr0asfV+ekiZyc62YVsR13TLOaVTknLzfHUaiu01v4e01+J7vMArKcN+UL0xTvXvGiJBYCaE9ErYmoAMD5AN7xQyh1Pwk/ysp2gozyyahLiHQzQ4BVX2CxayAALN7kboW6DEFGN8n0Ler+0xNObutaYVmZ4/zQgU4msEEq3SjIz82RXrW8fsd+xzPTetXLQ4PDSP/hFSklQUQvApgPoCMRlRDR5UKIUgDXAvgAwCoArwghVliVIwvPJMoJwsZoxr9mr0tbYPb15uA6aju82q6tCNJx/aODhIG5Oe5H/X6mhjDCj+ifbCVPCSaQYc+h42jTwNnaD+09X+ph/+6wkFonIYS4wOT4DAQQziqEmAZgWmGT9lf6XTZjzqQ56aGFQfoFoiSonFROySFyPavZbaFEnTid/aCCTSSQl0vSZqDF3+/G1r0O1yZoGmyaLoNvHIl17iaGCYKY6Ajk5pDvydiAcE2UQPhKKWjyc3NSGyzZcf97LlbEO/5FtMQydxObm5ggCdLc5ISgZjShL8D08TLO79/C/qSAycshbN1rnsLbKzF5/KSJpZJgxzXjFpmUH3FREkGF4ga5xiRoggq7zjYZ4kQslQTDuOWEdsZ59rXExSeRm0OBRAZFnWhVZjMtM+KgwIOWIdvMc7FUEmxuYtwi0+nGREf43hn1UrY0DXsm8f7yH9L+7ti4huuyYqAjAl2RD8TjGp0QSyXht7lJm++dqdgs32IfUhiH0Srgv1njhSsHAgh/JrFdtwXn2b3N96C2Iw73JuiRfvRX6IxK0XsGtSUpEz92SKxTiENHBCTXSfhF45pFqFqQDFYM29qkb89aVcy3pbXD6NZYbXMbBEF3FzF5/KSJpZLw29yUjY6oDo0yF+g0q10lAkmyi2oF9rmQ4vI45JB/Y1Ztji8rc9MTF/f1qUZzipR8VE6S5KkYtYiXmYkbgl5Bzj4JH/Db3BS0knDyTJ3bt7nUeVUKMpewDGhdV76iSopRu+mJy0yiwEczqFYtHLVYpd+9WS3T79yib87qhXl4/aoheOzCPo7LioMCD/rx+GhtsNub+k0slYQfXD2sbepzkEri3L7N8dVfRkqff9kJraXOMxI5Bu9PFmBvbAnaMSlLQW6Obx1SQuOIsNqf2WwjKS/olS4R0LdVHdQocr5WNw6z/qAl2H0wnHTnfhGT18V/0p/b4G5741pFqGOwl68ZWRzCnhXItG9cZhL5PjolZLOrOk1lLoNZv+7KbBOPWxMoMXn8pKm4SiLtaYtPzyybMsGoI6vpwSFYWZDZfyMuSiI3xz/r9KFjckoiiAV8emWg/uVmUmB0bwiEkzs0cCGZO+LyfLilts+O/lgqCf/XSWT3TVfJ9oc3DGRU8IjODQOXQ4agbmddi5ltbgDmJv11qErDjQo0UyxTL+3vuCy3ZPtr5re1IpZKwshxfUaPJo7K0N7oON102Rto6JOI0XXElYTEIgEvIZp+ElQUjdX1BTGTMBu8kIvexUixEFW8PSuCxO8d6mKpJIzo0MjZKk6t2SHIxyuosrMtTC4uROmTWPyXUx2dH8UdDsJpr7+OcnOTfzOJMMn2d8/vFP9ZoySc8uqiktTnrByEZKPMMUDm9QjieWhWuwrqVS909JsoRshhzCTUP93U5Gd7NK/jbl3R3sPZFX0UNBVWSRzWOPKCGBmM7W5t/upkkL/mxPb1PZmbGHtk8hbFZaQYhRx5fi7zVjDr161mEmbPt9FvZq78weDM4FizfX+g5WdbhGOFVRJaGtUq8r3Mdg2ttyx88pJ+GceevXygdPlBdyDXndIu0PL95lcDW0qdJ5O3KEgFfGbPptLnZssM125EnhndpDiuLa7PbMZgdG8273K481vMyZb7rhJLJeF3dFOV/PBGTyot6lbFWANnu2wIbNAPUrY5An/ZT24zGpkQ2CCvvbYDp7isFFE72u3Sa+g79pS5yUpJmJXlowbnaEB/iKWS8CUthza6KSLzwlUnt7U/yQSjB9yo/zunj1yaj8zyXf0sMmRt6VH5JMrrd2BLIDlZ4r6JkGl0k8V7xx149hBLJeEH2kcwmIgO+4fc6N2WXfHaqKa1ieyUTslY/+qF9gntjIiLXV4W2XsokxsryA5q9kr5vDxWCf7sfF5W+K1U7AYU5v4Fix+58GM4Jey9visqFVdJaB62OI1aOjepIZW6/DdDijOOaR/6u8Z1xU0jO+BPozu5kiPrZhKSAst0rkFcu/qI/bBPfm/koG/Bhzed7Es5tgMbs+gmi/fO1NzkY6PEdSAUo+5IigqsJKKWwHgkQ0SGCiDzPOvv83JycN2I9qhW6DyJGhCfLTxlMTM36e31cuameFy7lRzajL9Rj4ftnhU3Hb7ZwC2KAd1rEwaHXmc2UXGVBIAbTu0AIF4zCcAfBea1DL+zbdZzkOTQDWYd1QM/7+64rLg8DgSYCnPJ4FahymKFPpPH7Wd0Sfs703FNaf81wuwrL/dGm/nZSVmFee5Mtm6JuYspgwqrJLQE0SnI2DvNHgY/RrJeS/B7t76rhrl30stgNpPIyBskUVZMdIR8iGjEnYpeQevT3WcsppMo84gma632WfQyoGtZt6pjOYD4DBriSoVVEkSU6sgDnUlYlG32bsfhmfQzTXUYmM980o/L9KdBPA/usmIH+yT4ZVazay831WjXs0SdZy3skX0c9sxwQix7CqN1El5upJNb4jSRoBVmUSayL28TzSLAs3o2TW8Dj89Zv+I63grQEdUUWtuUL40fJPWbIJSEq+vPrr7ClIzFdB6uK26m4SAwysYQZ2KpJPxYJ0Eof3GdPHeyHXhTZb/ppharuU1nElKx8UA3zVaTmWYVby9T16b+bmMZdLihTJsNalNPztwUk36ISE5P+NWyD57j3H8jQ4ZPwuGzqVWwTgfZN47sYPpdXAIU9MRVLjNiqST8wO3OdLJnntu3OZ7+TX+c1998JbCpT0JaGnO012fkX8gPYN+AKDF7sfRHg1xM17tlbV/LDPsOWXXeVulE7GZJvprNHDakMDFbAXLtO6ZbY0f1+YFerutPbR+6DHF84IQAACAASURBVE6osEpCeyuczSRkzyMM79TQZlRgZm6Sl0fFasXx+vtOd5QzKBtxs0XmYxf2MSnLXaf24pVy5ixZ4jSi9CJJ5qZD7stS77NdKhBDOfRXISGHbLoXP9H3Ctefaj4bigMVWEmUE8ar+LSDnbP2HLJORdyzeS10aFw9LQxSv3VpmD6AmhIb2gctj9lo1eremmU8dduJ+d2n51AwaTlcuUd89CN4aSZ1MFSnar7rVN9OiZGujiUVVkkQlb8sTkaObp+X4R0boluz9NGP2bv9/JebLMt6+beDUZiXix7Nys0bdh1FkM/5viPJna6sHG4tdOGHfqO9hSe0q5/6vOGnA47LcjuTIJBhdl+3kPK/bMdNcxbklXc9RtFNsmWm+cJcmJsAoGvTmrhmeLAh3Fqy7Y5XXCWh+dy+kXVa77TfeRhW+L2hi377RytFoa86iJH9PWd3wxW6GHmVoe3q461rhvpfKZJ5qrSX989f9kx9drMLl9sIRCKgVT1jZeims5fvCKPFcVCCxHWZOZy1759sgEf5H/bnZ1aYrPOPozoFviA0W6m4SkIT3pSbQxihJMSz/Z2nOp3H7FuWZ1G2DEHEY/9hVEfjLwTQq4W5Y9cLdasVpDWGNvmhO+XodiYRHOdbBEDEnQKdWU9GYWqDLYT5ZMARZbqbf35/iT1IhOHHDDY+MNadUEZk2VSiwioJ7XQ2LPwezWsVQ5TmJi1RLQQy90k4l8f9TMLnmWL44U2BENQeEE7vrX4vEb/XAlVWKqyS+NOo9Oyo0i+kh+ddb24y69irFsjlitGLol03IWMCCLMPCnKdROv61RxEndmf494nka74uzer5amjJ1AwKWPU9UH+F23IvT/rlva3Jye40iPJKgjtU6fflVBKqfvUSNm2QM4JoSoJIqpGRIuI6Iyg69KaPsJyDsqOqCaOsU7vbea8+4XFXgluRrl2W7A6QWbWdO1w51umvnDlQEyw2LzJzezNtZKgdGX42EV9MOsG9+m4w55JWFVHAGqYRLFdOsTYDwUA/zqvJxrWSF9Qqq3n7rPTFYhK7arG9n/13rgZdOgHZU6bN+6bO0WFlJIgoqeIaAcRLdcdH01Ea4hoPRFNlCjqzwBecSOoU1rUrepubOvjc2LWcettuLJlERHqVy80/l73t8xlPH+F/J7bSRm8DbxM/RkWDGlbH7k55mrejTxNa7vb89xNVlPL8jSfrfqnsPouo2yoT1/aH92bu1+db7Yp1ont6xse17Zx/+JkuvTxJ7Uxr0DTOAndVMLonjxyfi/zosxrsaUi6xfZ3moqgNHaA0SUC2AygDEAugC4gIi6EFF3InpX968hEY0EsBKA/NZdPhFVHHS/VtY20V/2M54ZpDaS13QjQYxynO9FYd6QQb8jfvoDzNZPhA2R3Bw323ZY096rRMLknLTzyz9rJ+MFeck/iutVM61L2zL6QDej1h3Xq5lpWXa8efUQzLzhJNe/VzGSKz+XcGpnueCasJHqJYQQ84ioWHd4AID1QogNAEBELwEYJ4S4H0CGOYmIhgGohqRCOUxEM4QQJo+QN564uK8idxClm6O3Nnl16Bn1iwVqug39tYWkCOO0ShiwHgCEIak3n0T2MK5XU7y9ZKvUuVLXpTkpPbrJYIBkoSQLNQEqGeYmn10SvVsG5whfd+/pOF6WQPtb3wusDrd4GVI1A7BZ83eJcswQIcStQojrAbwA4EkzBUFE4xW/xaK03zsYTQ1qU0/63Aw5Xf/SP9+H0cOtds7PXjEQ153SDg1qGJudVGRmHn52UkHbc83NTdHNbrxi1on5FUHmS2JLpREfOb+3KxnM0+Ub15d+6fYXcMWJ5aaoVroZR4u6VbHglhEZi1zN5IvaZGTnK/vDadGk7wh93i2EmCqEeNfi+ylCiH5CCP+WtjpA39mN6tpI+rdOI3CcPJSqXG0bVMdNp3XMTM8c8bjU7TaqskQ1gZl0QXrn6GdHkvQzKeUadKdD2qYPdhrVtB4YyNQXBmn7JZmmy7f/bXkZ5nUV5Zf7PPSJLmtVyUfDmkWoVhDss+kU02u3+d15Mus+AsCLktgCQLsCqLlyzDPa/SRGd3WepVH/4pHm/wGgSr55CGrGgjgHnYLf72AQiQll+fq2kYZ1GFXTsVGNtJc1TII2N51lkTjRnx0GlWgegwVlqk9L/e5nvZun7THilimKOTYMtK+PNouuRQhA8v8p894+cn4v0xXvVsg+I15mw1olr98hT5aYWXJTeFESCwG0J6LWRFQA4HwA7/ghlLqfRFFeLjo4SKmhom9rfePrF91YyuK49mAI2xdQxyBFgZkEfi6mMsPvmdK5FuHEVugfnbDfaz/qU3clPLlDAx9Ks0HTXr8aUD4SNk39rpll69t6XK9m6GsQDFKjKM8yAirsWbZeSWjNh+f1a2G61a/dOx6VEpENgX0RwHwAHYmohIguF0KUArgWwAcAVgF4RQixwg+h1JlEWaLM8rz+xXUMR3pqY5vpAquO39NoQvKnqdGj5HlyZRocs/l52NlCPeFzvSO7yJsRZVDFM1trECZ3jeuK4npV0dhm1hHGvSzMT3Yxlw4txrmatNx+hjR/c8co3HJ6Z9Pvz+4dbhr9tg3SfSPf3nd66vODv+iBmkX5+p9IEdWrJxvddIHJ8RkAZvgqUbLcaQCm1WrR6Uqr816dMAQA8M5S66iLTPu9ObWq5KNNg2rY8ONBKVmDJGhzk5MZVVyxG301r1MFJbsPZxzXr871i2a1q2D1D/sd/84qT536t+w9HtaxIT76Y2Y4pfpzI/9HUB3QGT2aYuueI/j1kFZpx6Uij4wCOCwDFYxv6pC2yTUZdinv/XokbhrVEaO6Nsav/vulTyUmiSqyMB4B4z5jN6q+daz5qCMnh/DhTcNQv3rS3KLa2mU2QfGrz/XjUZARJU7y2tbh0tk3+8aTDff6cDJjvO4U85Xinl9chz/3o6MY0LoeOjSqjj+cJrG40WN1uTmEq4a1RVWd89hulhxEf2jbdh7eB+3jlJ+TgyHtjBcLZiOxVBKy5ibz31t/X9ciJbD+4VWXJfzMzymrhXzN61RJLfZy8p64sbu6XfntF05MPm5qJUoq+eEdM0fVTmYSN53W0d8soBpU00RPowy6Slv/vHczNKtdJc2mr6VmUR5+M6RYus7qhXmYecPJabnAQsc0uinzC5H2vfsqw0q7ocrYw8NKdcNyfS1NnlgqCdVxnZsjFzFTrIt4kLX5W6HGXOfmhNtE2kRhQU0v1a1Oq0gmGnTCb0+2SKEA4I4zu6Q+P35RX6y+e7TF2fZk5G6SvOtuTW368r12PH1b1cXcPwzDRQPNwxsb1yrCZxNPydjYqbGSMv2DG07CHWd1ta0rrtEzg9sar2vyS9yorvvta4Zig8Yfka3EUkmkIEjd4X/+Mj0fi/qTga2TuV/6uFgp+eQl/fDExX1Rt1rSyRTEIMR+g/lgyn70AncLo+wiUgDg5jHGpryHlI2CfjO0depYbg5lhM6qK2i7NKmZtke1ad0W8lotTqpd1Z3zMAiSWW7LZY1pXx4YT2hCcoMc7dsNujzlbjKpz8/Iv1hHN4VNytxUJmduMnuwhnVsiGV3nGY6UjEsS7nddasVYFTXxqnfyizJlx3F2lhjpcrQE/KEJ3C6NK2JMd2bpP42jYaxWlRo0ZQnuLQZR+3rT1uoFpsAbW9ULchLmT619/P6Uzvg9O6N8fPe7vMt6cu0QlZBvX7VEJxisYmZTHW3n9HF/iR9uRENH2LZtaTMTbm5mmMW51uUpYabuW3eUzo1wrI7TsOA1nXxyZ+GW57rdwcSV/OAG8LaqlNaUZsI5GaxllV5fuM04ke+YO9FOKpOor4GNQrxnwv7+raa3yrdjRP6tqqDLhKBLFb82oEPKWpiqSScIpMi2AuqotHbhGVo72HPhrgl0/OCUwVqtyDS7rhRGXZ88qfheOtqZ/t0Z4SrRmCW9LEmX0qxUlrPXzHQcl8U+7LNMWsnsvg+CPOWF6X9j3N72p8UMrFUEk7NTR11u0J5uUmefmvwU6vUwobx6q6rz/yh3WIqv/BTl5kvspKrRHuejJLV5kNqUKMwEGd+UISiPFzUYTWbG9quvmFHOLBN0n9oZ8J3tW9HALPYzM2u/LkZv+jb3PVsNihiqSSMzE1W6He5sg2HDujlMnKUGnVUYc0QXh4/ONDy/zw6ucOen7ZSp7dGX7MTO/2sG07C+78/yfWe10b13+bC1qzH6gqa1KySKYOk/Ebn/f0XPZLfJaNE5AoKgCcu7osPrj/J0V4fj1/Ux/4kDXbmJt/WDcksFPSnqlCIpZIIAvnRhPsnpZESknjTSOcpfdXFex0budsr16ija1q7iu0qUy8MbScfEOBUL+rPN/291W5xNnW0b1QjI0eVUzn1T8sJ7evjyUuCS2D80HnuzRH2ytyfXjJfoqPXS1K1IC/DImDH6G5N7E9C5nUv/etphuc5efetWjIwBRCRZok+0UwAGLVlmFEpzepkjvYM0ci06C8jsWjjrrS9ueNGKCurfTw/TJeOn1VZldW8TlVM/90J+GHvEdz8xjc+1uofXhzNdmYbb6bkJLWqlIc/ax3QjlK1BPhwRR1Bp6dCziSy1eHbr7hubLbWlEHmYR7WMTPTaPXCPN821rEiiJBBLy+w0wGAmfRdm9bCiM6NfBn3q9eTvB2GoVNZg6nj2uIa0jbv8s3c5G+jta5fDdOuPcHXMp0Qy5kEEZ0J4MxqTdu5S8dgWGb5Z/1mLum/9X6DoxgJ2GwsFkndZiy+7VTf6rCMbvJo4rI939npuHBgSyzZvMfhr/yXQ0tqzxVK/hV3ghz/eTE3BdlyNYvy0L15Lew9fDzAWsyJ5bDVqePaCY9d2Af1qpvv8GX3oFhtQiNLKiTPc0naMuM55DOSqjAvF4V5xvdWjcjSX4/Z9Vldd9AtUq96QexMA05R5Q/7+TFfve+/HLIlqm1xyeBW1if6UF82GTtiqSS8EuQNmHRBb9tkb9n0AHjB7/7xPxf2wZUnWud+knZou0Cmo9QOItIUXQT33A8F5TQNedAEkpbDYQis1d4Utj+G97Y0G6hqyz3N5/1QrKigSiImT3yIhHHJsum69XsN2zGmW2MU5efg9O5NTH0Vrq4vzMfAh77tmcsGeC/EAqv9o+P2yrh5h2038bLL3SS0prd4M+WSfoa79AVBhVQSRoQ5nbZN3JdlnZdTnjDYQ9mq/R+7qC9W3z3GskzS/Vd/3Pg3zhvaH5+Uu0ZXF5RllOdFGBvKs+H681DK7LsSNrL3NJFy4kvMKHX3OD2duc8veMRaq9IoCZUgXzjZWzmqa2MM69gAN53mfD2F17rNUDPmynDzmE549zrzaAvtfh1+vzB25Wlj9IN2XKf/OPPQCF0SOD+3q00r0YPcfpub3vv9iVLnmVVnPxtwXqZT3JTjp5lMtii1TjfrspwQSyXhNC1HXJB9TKoV5mHqpQPQvI798ns32SKdyKRuym60e5sZvz25Lbo1qyX1Yjh9eezMHy10a1D052mVXRDjr8zLMb++UJWUW1QTSwRVW2EXjvAHgwGW2Z1w2q4yMwnZus3wc/A0pF09tK5fzf5El8RSSQQZ3aTSu2XtWGxa7xduH7o/j+6EjQ+Mzdhe0mHlFl/58zLk5ebg8Yv64uXfpqcayYiCIkolkKvhcMN5vaTqHhjuiVvXm0ncHNcqdp2ufqW8n8i0RZYHtTmi4vSSNuhv/JtXD0XJ7kM44cG5/tXhW0kVBz/bZHS3xlLn3T2uG8Z0a4wuTb3Zx3/ex3220jDx4kexDYG13RjLZ3Oi5HlurDuyZcsMbMIMfTbzx4UlQixnEkZUJs2dLcjcE7f3TXpka3BelYJcjOgcTIigej36/YuDGCCk2sBDj2S3z7JqDswh4KT2mavj7XCb68zt4s8gZzznekhhHqTSsM8KG+zwNGuUBGON6UsXwpAnysVDfhZLRMGaXXy+FTK39pXfDk4lYjQaISdSPiDCA+f08FM8T9jdBqNL9/qsP3BOD6y6S27P9Yy9zn28ueplqOHg153SzvK85Ofg3nNWEhWEMEJ83YWUOsPpyxbHNTG9WiZzNP16iPnKXaPtU/NyCHWrFeDen3VzVJ9VExTl56JOVXP7/endm6BO1XxcNKgVCvLi3x24izySOy83h6T3E9H7u4Ici+Xa7E0c9CtQaXwSKtqbGccOxi36SzF64U9sXx9n9JBLrxw98bw3QiIaqGGNIttV+c9dMTDjGBHhq9tGehHPMY1rFeHr241TZwMI/TZ0VdZZXDCgpePf2r3Pfr7uMunQKwqVRkmEqQ+i9p/8ZWxnnNQh0758Zs+m+GW/Fr7VIzN6CrrdnRb/9G/kQ32tK07WnA25m5yI+PY1Q1G3WgFO/JtcQIffM9iGNe0VLADDhg/K5HJq54a254TxHOiVYKV2XHtZJ2EW76/uT12nqrOwyGxBm/L4ihPboIOyeVGwD1L0aQyc1m20qvm8/knF6WktXSCJ6WzSSEiWU10Jby6QGP32bFHb0V7urh3XYWZA8PgWdDDYCMxM+t8MKfZUlxGmLRXSGpdYKgk36yS6KuGOwzsaa/2bRnbEk5f0wxADW7Df+HnTTlWidOw2j794UNL+ne0WNKcjMj+u956zu2PlXaOQE8IeF0FgJ/VfzuiMP47qGGpSuIqEYc4rzecHz+me+nz5Ca2DF0gHEQU6GMxKc9PnE0/JsAm+cfUQHC8zb6qCvByMDOkl8fOGtaxXVWr6ra4SDbKbk99L2bsUskUMbuNd6efmkPRiQi/31s8IGCCZ9n7KvA2Wjmkg6WS9ZrhxhEy2oT4XYVr5TrQIDf7NkGKc178lJs1ZDyD7B2lGxFpJmLV309qZ24Mm9ygIVh5bssjs4mvdur/DCLvNoWT4pro3uCx2Zo5sescHtqmHgW3k9xmvCFjdP/unzvndvf/n3THIoI2DfOZlgiOASu6T0BJk55dNHYJbssGxqiXKHDhucCJvWKmdw8StbyFbRtyyUVbl6U38uzC7lCnnKkEo+nxmfhN7JXHxoFYY2q6e592iQiHLOmSvyCkgl52IzffjT2rroXT3lKexkGdkl0bY+MBYtGuY6QCVqtPVr8LBbxOadL1Oqg1BRHUAUDXfv3xzvx5cDACpnTT1z9zFg1ph4wNjUa96YaCDwagNNLbUq16I568YFLUYscc8zUEIK651lXsZTY3r1RTvL99ma0OfOKYTJo7p5Lh8vwZ6suVIhXMy0sR1BvKPc3vimuHtfEk8qL6xl5/YGref6S0LtB/EXklkFZH6BcKvPAj1U7MoP9aDgibKHtz6KLqY9l3eCTnBX7agV1ZF+bm+b7gUl5ZlJcH4jtaJF9eRn1ua1q6CRX85FXWViKJs8/lUFIwcxWb3orqyJcA5fZoFKVKkBGkxYCVRQQijM7bPRplJtnWiMqay+tULbc+pMOiao2GNaK/dzWNetSAPK+4chSo++guCZEy3Jnjqs+9Syi1qQpOCiIYBuBvACgAvCSE+CqtuMyraKNcItZMe270JzurZ1FNZZpv46JvRqKONOgopKAKNvotZky3962nIz9WnhojIce3w/GqRx8fLc+vYzrj2lHao6XDTrKCQim4ioqeIaAcRLdcdH01Ea4hoPRFNtClGADgAoAhAiTtxGTPs+pN//rIninweSTnJ3RTG2okoqKCXZUitKvnedjD0gbgNNoJ4rnOVbMB6rC49DtFNUwH8G8Az6gEiygUwGcBIJDv9hUT0DoBcAPfrfn8ZgE+EEB8TUSMADwG40JvoweBHY0fRIZq9PM9ePhAvLtiEwgDTQMfsvbUksH0tAii3f3Eyz9TA1vFdMBendRJ5IaZVyaJH3jNSSkIIMY+IinWHBwBYL4TYAABE9BKAcUKI+wGcYVHcbgCmhk0iGg9gPABUa9JWRrzYYPbCvHH1ENSvFo0td0DruhjQOjOpXdjEbQSYDQxuWw8r7xoV+eg9jhiNw4Z3aojfntQGT8zbEL5AFRgvw8tmADZr/i5RjhlCRD8noicAPIvkrMQQIcQUIUQ/IUS/vLzwXw4vfZmZfbZPyzpo6cLpG3dkZkysGrzBCkKe3BzCn0c7XzvDWBPaEyiEeAPAG17K+N9lA/D5tz/5JFHFIoeAwrwc3Dq2c9SixBq/4/qjctwyxvg1YV1qtRFTJcOLktgCQLuDTXPlmGeI6EwAZ1Zvmr7q9uQODXCywWY6ruvxucOIcmEREWHNPWMiqz9KvrxlBPYfOe5LWW7voJN7ry7Iq8x4fVeCVs21JPedCXOIYJncMAaOayMWAmhPRK2RVA7nA/iVH0IJIaYBmFa7Zacr/SjPWd1h15j9RL3qtlHNIjSqKdfxRu0aWXvPmMhlyGa47cJHNgT2RQDzAXQkohIiulwIUQrgWgAfAFgF4BUhxAo/hPKyM51brhmeXU7yOCCjT/mlTqcgL6dS7Y/MZD+y0U0XmByfAWCGrxIh/JlEgxqFqKtEH3Gn5gJuMyZkzIImwoqii1u0XpBh9zykYUIhLq+U33KweTJcojZt6onL/Q9SjFgqiSjMTUwmz18xEP86r6fp92YvSLxeY8YLfVpYb5TUqYm7PTJiNhDPehKVbSYhhJgmhBifmxtsQi7DDc5jMjKIA0Pb1cfPeje3PS9jK8dgxAkF7rzSsYvy6dTY3/TYdsTt/oQpj1VdiZhGNzFM1hGULTlunVfYvHvdCViyeU/UYoROXAaVWjla16+G730sO5ZKwmydRDh1h1tflfzcrO1gZBaSxc2G7Ddx6SSipluzWujWrFZo9UXd7nF7Z1XH9YJbRqB+9ULk/tG/smOpJKJcJ+EHTp7fpX/N/pWd+hcmZu8PE0PcL1qMB12UXej6xyAvGlDe5+TkEHJ8TnQYSyURNtom9TJCcTO6KAgwO2vQ1FF2Z2vf0J3zMgr87mTiNqKs6Fw1rC1Kdh/GeQNa2J8cIP2K62LBrSPQsEY8Vs+rM4mcAB7IWCqJsM1NAv50HlFPgcOmc5OaePHKQejTqnbacaNmqKidaWW751FTr3ohHr+4b9RiAEBsFARQ7rgO4jWL5TA2tOimQEuvHAxuWw+FedmxLSTDVFSCnEnEUkmEhTD57JaKOlp2Spybwe4eOY1+qqHsQ6zaqBk54rZiOdtp27A6ACAvt5KYm8JG26z87DJOaFG3Kl6bMDjUyB7GntwQd6nzQnulc/fKU7/uj2Vb9gaylzcrCR1ebMzqvrTVs2jT9SDQNmFlULr9iuMR4cIkueX0TjjJxy0FgmLatSegRd0qvpRVp1qBr9soaIllbxbFOgk/+rIbR3ZAi7pVMaZbYx9KqxjETUmwmaPiM/6k7Mjo3L15dsw+Y+mTCMtx7XdkSlF+Li4e1KrSd0R+hRQzFZfK/Ya4I6puJZYziSjgvixYKvrK64rG7BtPRl6W2PWZYKnUSsJIM1fySYDvcHtmJ+18cqgy2U8szU1RwuYR78huJcowTPyJ5UwiLMe1ViHwgLeciwa19PT7xrVYSTDWVLYZ5phujXFi+/hHXBkRSyURdoK/yvbA2nHP2d2jFoFhKhSPXeQ9lUhUfj02NzGBwuY7hsluWEkg2ZFxXxYsPFtjmOwkluYmhmEqPmf0aILz+keb8puxh5UEkqNcHugGC5udGC1EhH//qk/UYjASsLmJYRiGMYVnEkwosE+iYjHt2hNQvYi7jzDhtBwRIDTuaraGMIw82ZKcjvFOLM1NRHQmEU0pKyuLWhTGI+yLYJjsJpZKIrztS0nzmQkSbl+GyU5iqSSY7Kdtg2ppf/OEgmGyk0qtJAR3XYHx6oQheHXCYHZYM4xPRPUqVWolocJ7HfhP3WoF6F9cl30SDJPlsJJQGN6pIQDgZ72bRSxJxSRqNfzy+EG4/ITWEUvBMNlHpQ6BVREQaF2/GjY+MDZqUZiAGNimHga2qRe1GAyTdfBMggkU9vswTHbDSgLsk2AYhjGDlQQTKKyAGcYfKKJQwdB8EkSUA+BuADUBLBJC/M/+N4GLxQQMm5sYJruRmkkQ0VNEtIOIluuOjyaiNUS0nogm2hQzDkBzAMcBlLgT1184PDM8WOEzTHYiO5OYCuDfAJ5RDxBRLoDJAEYi2ekvJKJ3AOQCuF/3+8sAdATwuRDiCSJ6DcAcb6IzDMMwQSOlJIQQ84ioWHd4AID1QogNAEBELwEYJ4S4H8AZ+jKIqATAMeVP08x9RDQewHgAqNakrYx4ruHRLcMwjDVeHNfNAGzW/F2iHDPjDQCjiOhRAPPMThJCTBFC9BNC9MvP52UcDMMwQHQLUkPrhYUQhwBcHlZ9MrBPgmEYxhovM4ktALS7mDdXjnlG3U+itDSc/STY7GRNfi43EMNUVrzMJBYCaE9ErZFUDucD+JUfQgkhpgGYVqdVpyv9KI/xxtw/DMP3Ow+5+i3P1hgmu5ENgX0RwHwAHYmohIguF0KUArgWwAcAVgF4RQixwg+hwp5JcEdmTfM6VTG0XX2PpfBshGGyEdnopgtMjs8AMMNXicAzCYZhmLjAaTnAPgmGYeJPVP1ULGNMiehMAGdWb9oualEYj/z+1PZY/cN+DG6bPWm6e7esjYsHtYpaDIaJBbFUEmxuqjh0bVoL8/40PGoxHPHm1UOjFoFhYkOlNjexv5phGMaaWCqJsKObGIZhGGNiqSSEENOEEOPz8nIDrYf91Zm0rl8tahEYhjGgwu8nwcSfOTedjPrVC6MWg2GYGBHLmURY5ib2SaTTtkF11KqSH7UYDMPEiFgqibDMTSpsdmIYhjGGzU1MVnD8+HGUlJTgyJEjUYsSS4qKitC8eXPk5/NMkPEXVhJgs1M2UFJSgho1aqC4uDgyB15cEUJg586dKCkpQevWraMWJysY1KYuNu86HLUYjqlZlIc/juoYap2sJJis4MiRI6wgTCAi1KtXDz/++GPUomQNL40fHLUIrlh24YTY+wAAC4VJREFUx6jQ64ylTyL0/SRCqYXxCisIc7htmKCIpZII23HNMAzDGBNLJcEwDMPEg0qtJATvNsR4pHr16lGLwDCBwo5rJuu4c9oKrNy6z9cyuzStib+e2dXXMv2itLQUeXl5pn8zTJDEciahOq7LAnZcs7OPccLZZ5+Nvn37omvXrpgyZUrq+A033ICuXbtixIgRqQijSZMmoUuXLujRowfOP/980zIPHjyIyy67DAMGDEDv3r3x9ttvAwCmTp2Ks846C6eccgpGjBiBjz76CCeeeCLOOussdOnSJdgLZRgtQojY/qvdsqMIks27DopWf35XDL5vdqD1MN5ZuXJl1CKInTt3CiGEOHTokOjatav46aefBADx3HPPCSGEuPPOO8U111wjhBCiSZMm4siRI0IIIXbv3m1a5s033yyeffbZ1Hnt27cXBw4cEE8//bRo1qxZqs65c+eKqlWrig0bNpiWFYc2YuIBgEXCp344ljOJsOEZBSPDpEmT0LNnTwwaNAibN2/GunXrkJOTg/POOw8AcNFFF+HTTz8FAPTo0QMXXnghnnvuOUvT0MyZM/HAAw+gV69eGDZsGI4cOYJNmzYBAEaOHIm6deumzh0wYAAvlmNCh5UEw0jw0UcfYfbs2Zg/fz6WLl2K3r17G6YIUQcc06dPxzXXXIOvvvoK/fv3R2lpqWG5Qgi8/vrrWLJkCZYsWYJNmzahc+fOAIBq1dLTtuv/ZpgwYCXBMBLs3bsXderUQdWqVbF69Wp88cUXAIBEIoHXXnsNAPDCCy/ghBNOQCKRwObNmzF8+HA8+OCD2Lt3Lw4cOGBY7qhRo/Doo4+mIu2+/vrrcC6IYSSp1CESOcqorzCfdSVjzejRo/H444+jc+fO6NixIwYNGgQgObpfsGAB7rnnHjRs2BAvv/wyysrKcNFFF2Hv3r0QQuB3v/sdateubVjubbfdhuuvvx49evRAIpFA69at8e6774Z5aQxjCakjmDhSp1Unsfv71YGVL4TA5LnrcVbPZmhZr2pg9TDeWbVqVcoMwxjDbcSoENFiIUQ/P8qq1DMJIsK1p7SPWgyGYZjYEkslQURnAjizRtN2UYvCML7w9NNP45FHHkk7NnToUEyePDkiiRhGjlibm+q26iR2BWhuYrKHVatWoVOnThyubIIQAqtXr2ZzEwPAX3MTe2yZrKCoqAg7d+7kfFsGCGXToaKioqhFYSogsTQ3MYye5s2bo6SkhDfWMUHdvpRh/IaVBJMV5Ofn82pjhokANjcxDMMwprCSYBiGYUxhJcEwDMOYEusQWCLaD2BN1HJIUB/AT1ELIUE2yJkNMgIsp9+wnP7SUQhRw4+C4u64XuNXrG+QENEiltMfskFGgOX0G5bTX4hokV9lsbmJYRiGMYWVBMMwDGNK3JXEFPtTYgHL6R/ZICPAcvoNy+kvvskZa8c1wzAMEy1xn0kwDMMwEcJKgmEYhjEllkqCiEYT0RoiWk9EE2Mgz0Yi+oaIlqihZURUl4hmEdE65b91lONERJMU2ZcRUZ8A5XqKiHYQ0XLNMcdyEdGvlfPXEdGvQ5LzDiLaorTpEiI6XfPdzYqca4holOZ4YM8FEbUgorlEtJKIVhDR75XjsWpPCznj1p5FRLSAiJYqct6pHG9NRF8qdb5MRAXK8ULl7/XK98V28gcs51Qi+k7Tnr2U45G9R0oduUT0NRG9q/wdfHsKIWL1D0AugG8BtAFQAGApgC4Ry7QRQH3dsb8BmKh8ngjgQeXz6QDeA0AABgH4MkC5TgLQB8Byt3IBqAtgg/LfOsrnOiHIeQeAPxic20W554UAWivPQm7QzwWAJgD6KJ9rAFiryBKr9rSQM27tSQCqK5/zAXyptNMrAM5Xjj8O4Crl89UAHlc+nw/gZSv5Q5BzKoBfGJwf2Xuk1HMjgBcAvKv8HXh7xnEmMQDAeiHEBiHEMQAvARgXsUxGjAPwP+Xz/wCcrTn+jEjyBYDaRNQkCAGEEPMA7PIo1ygAs4QQu4QQuwHMAjA6BDnNGAfgJSHEUSHEdwDWI/lMBPpcCCG2CSG+Uj7vB7AKQDPErD0t5DQjqvYUQogDyp/5yj8B4BQArynH9e2ptvNrAEYQEVnIH7ScZkT2HhFRcwBjAfxX+ZsQQnvGUUk0A7BZ83cJrF+CMBAAZhLRYiIarxxrJITYpnz+AUAj5XPU8juVK0p5r1Wm7E+pZhwLeUKTU5ma90ZyVBnb9tTJCcSsPRXTyBIAO5DsNL8FsEcIUWpQZ0oe5fu9AOpFIacQQm3Pe5X2/BcRFerl1MkTxn1/GMCfACSUv+shhPaMo5KIIycIIfoAGAPgGiI6SfulSM7jYhdLHFe5FB4D0BZALwDbAPwzWnGSEFF1AK8DuF4IsU/7XZza00DO2LWnEKJMCNELQHMkR6udIhbJEL2cRNQNwM1IytsfSRPSnyMUEUR0BoAdQojFYdcdRyWxBUALzd/NlWORIYTYovx3B4A3kXzgt6tmJOW/O5TTo5bfqVyRyCuE2K68nAkAT6J8yhuZnESUj2TH+7wQ4g3lcOza00jOOLanihBiD4C5AAYjaZ5Rc8Zp60zJo3xfC8DOiOQcrZj1hBDiKICnEX17DgVwFhFtRNI0eAqARxBGe/rlUPHrH5JJBzcg6VRRHWpdI5SnGoAams+fI2lr/DvSHZp/Uz6PRbpja0HA8hUj3SHsSC4kR0nfIelsq6N8rhuCnE00n29A0k4KAF2R7ljbgKSTNdDnQmmXZwA8rDseq/a0kDNu7dkAQG3lcxUAnwA4A8CrSHe0Xq18vgbpjtZXrOQPQc4mmvZ+GMADcXiPlLqGodxxHXh7+n4BPjXC6UhGbXwL4NaIZWmjNOpSACtUeZC0780BsA7AbPWBUB6eyYrs3wDoF6BsLyJpWjiOpG3xcjdyAbgMSQfWegCXhiTns4ocywC8g/RO7lZFzjUAxoTxXAA4AUlT0jIAS5R/p8etPS3kjFt79gDwtSLPcgC3a96nBUrbvAqgUDlepPy9Xvm+jZ38Acv5odKeywE8h/IIqMjeI009w1CuJAJvT07LwTAMw5gSR58EwzAMExNYSTAMwzCmsJJgGIZhTGElwTAMw5jCSoJhGIYxhZUEU+EhotpEdLXyuSkRvWb3Gw919dJmYGWYbIeVBFMZqI1kVkwIIbYKIX4RYF29kFx/wDAVAl4nwVR4iEjNcLoGyUVxnYUQ3YjoN0hmzawGoD2AfyC5+vhiAEcBnC6E2EVEbZFcQNUAwCEAVwohVhPRuQD+CqAMyQRqpyK5eKkKkqkO7gfwLoBHAXRDMsPoHUKIt5W6f4ZkuoRmAJ4TQtwZcFMwjGPy7E9hmKxnIoBuQoheSubUdzXfdUMyk2oRkh38n4UQvYnoXwAuQTIlwxQAE4QQ64hoIID/IJk753YAo4QQW4iothDiGBHdjuQq3GsBgIjuA/ChEOIyIqoNYAERzVbqHqDUfwjAQiKaLoRYFGRDMIxTWEkwlZ25Irkvw34i2gtgmnL8GwA9lGyrQwC8mkzHDyCZ9wYAPgMwlYheAfAGjDkNycRsf1D+LgLQUvk8SwixEwCI6A0kU26wkmBiBSsJprJzVPM5ofk7geT7kYNkzv5e+h8KISYoM4uxABYTUV+D8gnAOUKINWkHk7/T23rZ9svEDnZcM5WB/Uhu9ekYkdyr4TvF/6DucdxT+dxWCPGlEOJ2AD8imYJZX9cHAK5TdgUDEfXWfDeSkntoV0HSN/KZGxkZJkhYSTAVHsWk8xkRLUcy9bdTLgRwORGpmYDVbT7/TkTfKOV+jmSm4LkAuhDREiI6D8DdSDqslxHRCuVvlQVI7guxDMDr7I9g4ghHNzFMBCjRTSkHN8PEFZ5JMAzDMKbwTIJhGIYxhWcSDMMwjCmsJBiGYRhTWEkwDMMwprCSYBiGYUxhJcEwDMOY8v8IvuFJzYcLJgAAAABJRU5ErkJggg==\n",
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"<Figure size 432x288 with 1 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 432x288 with 1 Axes>"
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]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
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"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 432x288 with 1 Axes>"
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]
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},
|
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df[['timestep','experiment_index','run','abs_err']].groupby(['run','experiment_index']).plot(x='timestep', y='abs_err', logy=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<seaborn.axisgrid.JointGrid at 0x7f739c4c8650>"
|
|
]
|
|
},
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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pSYiQgZkRMt6YMSZkhsXuRx+HitIS5k4b16VhFF4pFH14/ff6vfzZjzdM6EUrSkNUlZdQW1lGfc2b//AbaiqYVRdtRR0zpVLnrYh4KDwcobM/TEffEO29g3T0DUWX3iHaYz87+4dij0fXDY829UwGlh1Ty8N/evZ4dlV4pRCo8DKzhwEvTwxpAI54+PrxVEtyqiU51ZKc17Uccc6t8fD1C1agwstrZrbOObfK6zpAtaSiWpJTLckVUi3yVurHEhER31F4iYiI7yi8sutWrwuIo1qSUy3JqZbkCqkWiaNjXiIi4jtqeYmIiO8ovERExHcUXiIi4jsKLxER8Z1AhdeaNWsc0SmitGjRoiUIS9oC+v2XUqDC68iRQplRRkQkv4rt+y9Q4SUiIsVB4SUiIr6j8BIREd9ReImIiO/kPLzMbI2ZbTGzJjP7QpLHzzaz9WYWNrPL49avNLNnzGyTmb1sZlfmulYREfGHnIaXmZUANwMXAiuAq81sRcJmu4FrgXsS1vcCH3POHQ+sAb5jZnW5rFdERPyhNMfPvxpocs5tBzCz+4DLgFdHNnDO7Yw9Fonf0Tm3Ne72fjM7DDQC7TmuWUREClyuuw1nA3vi7u+NrcuIma0GyoFtSR67wczWmdm65ubmcRcqIuI3xfz9V/ADNsxsJnA3cJ1zLpL4uHPuVufcKufcqsbGxvwXKCLikWL+/st1eO0D5sbdnxNblxYzmwz8Gvhr59yzWa5NRER8KtfhtRZYYmYLzKwcuAp4IJ0dY9v/DLjLOffTHNYoIiI+k9Pwcs6FgRuBR4DNwI+dc5vM7CYzuxTAzE41s73AFcAtZrYptvsHgbOBa83spdiyMpf1ioiIP5hzGU1cXNBWrVrl1q1bl/F+Lb3DOahGRORN9VUl49nN0t1w7nFvc3u2bhzPaxSylL9/wQ/YEBERSaTwEhER31F4iYiI7yi8RETEdxReIiLiOwovERHxHYWXiIj4jsJLRER8R+ElIhIAwZluIj0KLxGRICiy9FJ4iYgEQJFll8JLRET8R+ElIhIAQZpkPR0KLxER8R2Fl4hIABRXu0vhJSISDEWWXgovEZEAKLLsUniJiASBK7L4UniJiARAkQ02VHiJiASBwktERHwnUmTppfASEQkAnaQsIiK+Eymu7FJ4iYgEgboNRUTEd9TyEhER34kUWXopvEREAmDYuaIatKHwEhEJiN7BYa9LyBuFl4hIQHT1h70uIW8UXiIiAdE9MOR1CXmj8BIRCYhOtbxERMRv1G0oIiK+09WvbkMREfEZtbxERMR31PISERHfUctLRER8JWSm8BIREX8JGXSq21BERPxELS8REfGdaHip5SUiIj4SCkFbj8JLRER8pDRkHO7q97qMvFF4iYgEQEkoRFvvEIPhiNel5IXCS0QkAEpCBkBz94DHleSHwktEJABKY+F1sKPP40ryQ+ElIhIAZSXRr/Nth3s8riQ/Sr0uQEREJq60xAiVhnjtYJfXpeSFWl4iIgFgwPz6Kjbsafe6lLxQeImIBMTSGbVs2NtO/9Cw16XknMJLRCQgVsyaTDjieHZ7i9el5JzCS0QkIFbMnEJlWYhHXz3kdSk5p/ASEQmI8tIQJ82p45FNBxkaDvbJygovEZEAOXNJA0e6B/ndlmavS8kphZeISICsnFtH3aQy7nl+t9el5JTO8xKRvNpyZOzpi5Y2VOShkmAqDYU4b9l0fvbiPrY3d7OwscbrknJCLS8RybktRwbeWDLZXsbnPStmUBIyfvjkDq9LyRmFl4jkzERDSAE2PnVV5Zx9XCM/XreHfe3BnOtQ4SUiOaHg8dYfnTwb5+C7j73udSk5ofASkazKdpefQnB8GmoqOH/5DH6ybi87jwRvst6ch5eZrTGzLWbWZGZfSPL42Wa23szCZnZ5wmMPm1m7mf0q13WKyMToOFXhef/KWZSWGP8awNZXTsPLzEqAm4ELgRXA1Wa2ImGz3cC1wD1JnuKfgY/mskYRmTiFVmGqqyrnghUz+PmL+9i4r8PrcrIq1y2v1UCTc267c24QuA+4LH4D59xO59zLwFGngzvnHgOKY35/ER9Sa6vwXbZyNrWVpdz0y1dxznldTtbkOrxmA3vi7u+NrcsaM7vBzNaZ2brm5mCfUS5SKPIdWgrI5OK//9pak0/GW11RyhWr5vL8zlYe2ngwzxXmju8HbDjnbnXOrXLOrWpsbPS6HJHAyzRINjcPpFxkYuK//6ZOq0+53XlLp3NsfRX/8OvNgblcSq7Dax8wN+7+nNg6EfGZTFpb6QZUugGmGTcmJhQyPnb6sexr7+P7v9/udTlZkevwWgssMbMFZlYOXAU8kOPXFJEsyzS0MqEWWH6smDWF1Qum8R+/3cbBjn6vy5mwnIaXcy4M3Ag8AmwGfuyc22RmN5nZpQBmdqqZ7QWuAG4xs00j+5vZH4CfAOeb2V4ze28u6xWRo6UTXOoG9IcPr55HOBLhGw+/5nUpE5bziXmdcw8CDyas+0rc7bVEuxOT7XtWbqsTkVTSDS3xj+mTK7nohFn87MV9fOT0Y3n7sVO9LmncfD9gQ0Syb6zgUkvLvy5bOYtp1eV87ZebiET8O3Re4SUib5FOcOWTBmtkV2VZCVedOpeX93bwiw3+HT+n8BKRNxRacElunLG4gQUN1XzzkS0MhP05dF7hJSLA6MGVbjdh/HW7dGJx4QqZcfXqeexr7+fuZ3Z5Xc64KLxEZMzgGmvfVGGVToAtb0zdLaguw9w5YfYUTpw9he8+3kRH35DX5WRM4SVSxMZqIY0WXOm2rtQCK1xXrZ5HR98Qt/xum9elZEzhJVKkJnJ8Kx+BpFZX7i1oqOb0hdO465lddPX7q/Wl8BIpQoUSXKN1GUp+XHziLLoHwty/ds/YGxcQhZdIkSmU4BqNWl35s6ixhuUza/nhkzsYGj7qylQFS+ElUkTGO6JQoweD7eITZnGgo58HXzngdSlpU3iJFIGJDsyYiFStqFRdhmp15d/KeXXMrpvEHU/t9LqUtCm8RALOD92E4q2QGWcf18iLe9rZeaTH63LSovASCbCJnHicy+BSq6vwnLGoHgN+/pI/poxSeIkEVK7P30qHwsg/6msqWD5zMj97cR/OFf6EvQovkQDy6vhWPB3r8p8zlzSwq6WXDXs7vC5lTAovkYBJFUCFMJpQwVXYTlswjbIS4+cvFn7XocJLJEBGC65U2+citBRG/lRVXsop86bywIb9BX/Ol8JLJCDGE1y5oO5CfztzcQOtPYM82XTE61JGVep1ASIyccmCKN+hBQquIFg5t46ailJ+/uI+zl063etyUlJ4ifhcusGV62NaCq5gKC0JcfrCaTyy8SAdfUNMmVTmdUlJqdtQxMeyHVzjPQaWaXBJYTtv2Qz6wxH+e/1er0tJSS0vEZ+aaHCNFlJbjgyk3TIaT3Cp1VXYFjRUs3h6DT96dhfXvnM+ZuZ1SUdRy0vEh9IJrtGubpyti0gquILr3ctnsK25h2e2t3hdSlIKLxGfSTe4ku3n5blcoODyk3csrKemopS7n9nldSlJKbxEfCJV+KQbXNmWaRApuPylvDTEecum8/DGgzQd7va6nKMovER8IN1zuBK3y/dJyBpZGCwXnTCTirIQ//bY616XchSFl0iBm0hw5YKCq3hMnlTGe48/hl9u2M8rBTbfocJLpICl6iYcb3DtONzxliVbFFzBdelJs5g8qYy//eWmgpptXuElUqDGM6IwVTdhqrAaLcCSBU+ydQquYKsqL+WDq+bywq42frKucM77UniJFKDxDMzIJLQStxkvBVdxOGdpI8tn1nLTr17lQEef1+UACi+RgjLeEYWJ97PdLQhHB5KCq3iEzPjk2YsYGo7wFz/ZwHDE++5DhZdIgRjP8a1kYZdpaC2YPuWodYkBpECSGZMr+dg75vNUUwv/WgCjDzU9lEgByFZrK1/U6ipO5y5tZOuhLr772OucNGcK5y+f4VktanmJeGg83YSJ+2S7i3CsVpeCq3iZGdedMZ8FDdXceM+LbNjT7lktCi8Rj6TTTZhsNGG8fLa2RqPgKh4VpSX85XuXUltZynV3rGXnkR5P6lB4iXggV62tzgM7ky6pJB7vGk+rS8FVfOqqyvn8mmWEhyNcdeuz7GrJf4ApvETybKzgGq21lSy00gmp0R5LJd3uQilOs+om8aX3LadnMMyVt+Q/wBReInmUTnDF304MrnhjBdZYxmp1pUOtruJ2bH01fx0LsMu/9wyb9uevG1vhJZIHyQZmJDu+lex2YmtroqGVjLoLZbyOra/mKxevwOH44C3P8FTTkby8rsJLJMcy6SaMv53L0Ep2btcIBZdkas7UKr526duor67gmtue5+cv7sv5a+o8L5EcyrSbcERiaMUb2L9l1NesmLX0qHWTZ85Puf1oQaTjXJKuadXlfPWSFfzLb7byp/e/xKHOfm44eyFmlpPXU3iJ5Mh4gmsioRW/XbIAG5FJq2u820hxqiov5QsXLuN7v93GPz70Ggc6+vnyxSsoCWU/wBReIjmQ7PhWssfTaW2lG1rjER9E6i6UbCgrCXHjeYuZWlXGHU/v5GBnP9+5ciWVZSVZfR2Fl0iWjRZcY3UTjhVaietGa2GNiO8yjG91KbgkV0JmfPQd86mvqeBHz+7iw13P8cNrVlFXVZ6918jaM4lIxsEVPygjVXAN7N/yxpIoF60yBZdky/tOmMn/Pn8JG/a084HvPc2e1t6sPbfCSyRLxhNc8NZRhPEhlSqwxhLfGhtPq0skm05fWM+X3recQ539fOA/nmbjvuycC6bwEpmgVOdwxT+eeHu01lamoZXOtuouFC8tnzmZr158PA7HVbc+y4u72yb8nAovkQlId0Rh4vlbQMrWVjID+zYzsG9zRrUlGx6v4BKvzJ1Wxd9ecjw1FSV85IfP8cKuiQWYwktknDIJrhHJgmvk51uOc8XCKjG0kgVYfDdhsgEcow2NH6Hgknyor6ngby5aweTKMj5223MT6kJUeImMQ6bBNTIwI/H4VvxPGF8LK5mRVlc63YUKLsmnkQCbVFbCdXesZV9737ieR+ElkqHxBBeM3k043tBK1urKpLtQwSVemFZdzl+9dxk9A2Guu/15egfDGT+HwkskA9kIrpGf8cE1UaN1F2pkoRSiudOq+Nz5S3j9UDd//+vM/wbSDi8zqzKzL5vZ92P3l5jZxRm/oohPZTO4RiQGV/w5XROZwzCd4FKrS7x24pw6LjpxJvc8t5v/efVQRvtm0vK6HRgA3hG7vw/4+4xeTcSnsh1cRw3ESHN4fMXs5UevS+guTDZAQ8ElheqDq+Yyb1oVf/vLTQyGI2nvl0l4LXLO/RMwBOCc6wVyM12wSAHJRXCNmOiJyKMF10gYKbikkJWVhLh69Vz2tvVx/7o9ae+XSXgNmtkkwAGY2SKiLTGRwMp1cGVipNWVKrjipQojBZcUopPm1LHsmFq+90QTkYhLa59MwuurwMPAXDP7L+Ax4K8yL1PEHwoxuEYz1nEuBZcUKjPjvGXT2d/Rz/o0Z99Ie1Z559yjZrYeOJ1od+HnnHP5ud6zSJ4VQnAlG5AxVnehgkv8atWx06go3cGvXj7AqvnTxtw+k9GGfwSEnXO/ds79Cgib2fvT2G+NmW0xsyYz+0KSx882s/VmFjazyxMeu8bMXo8t16Rbq8hEFEJwxRuru1DBJUEwqbyEhY3VbNjTntb2GXUbOufemMvDOddOtCsxJTMrAW4GLgRWAFeb2YqEzXYD1wL3JOw7Lfb8pwGrga+a2dQM6hXJWKEE1xtBpeCSInJsfTWvHexiOI3jXpmEV7Jtx+p2XA00Oee2O+cGgfuAy+I3cM7tdM69DCSOkXwv8KhzrtU51wY8CqzJoF6RjBRacKWi4JKgmlFbSd/QMB19Q2Num0l4rTOzb5nZotjyLeCFMfaZDcSPfdwbW5eOtPY1sxvMbJ2ZrWtubk7zqUXeqlCCK16qVheMfS5XYnAtbahQcAVQ/PdfW2uL1+VMWHVFCQCdWQ6vzwKDwP2xZQD4TOblZZdz7lbn3Crn3KrGxkavyxEfysXMGSMyHlWYZnfhiGTnciULLgmm+O+/qdPqvS5nwipKo+HVOzg85raZjIODTHwAABrYSURBVDbsAY4acDGGfcDcuPtzYuvS3fechH1/m+Hri2QsW1M+5Sq4ErsLFVwSFOFI9OhReenY7aoxw8vMvuOc+1Mz+yWxE5TjOecuHWX3tcASM1tANIyuAj40ZlVRjwD/N26QxgXAF9PcVyQt6VwBeSJzFaZLwSXCG9NDVWQjvIC7Yz+/mWkhzrmwmd1INIhKgNucc5vM7CZgnXPuATM7FfgZMBW4xMy+5pw73jnXamZ/RzQAAW5yzrVmWoNIKrkMrnyMLFRwSdB09UcvjTKtunzMbccML+fcC7Eh7zc45z6caTHOuQeBBxPWfSXu9lqiXYLJ9r0NuC3T1xQZi4JLpPB09A1RURqiqrxkzG3TOublnBs2s2PNrDw25F3EtwohuN5yEUkFlwgAzd0DzKqbhNnYc76nPWAD2A48ZWYPAD0jK51z38q8RBFvKLhECtfhzn7m11entW0m4bUttoSA2nHUJeIpvwdXPAWXBI1zjsNdA7zruPROecpkqPzXAMxscvSu6xpfiSL5F4TgGrmt4JIg6h4I0zs4zNxpVWltn3Z4mdkqoldTro3d7wA+7pwba5YNkYKSLLgSZTO4Eqd7ymZwiQTFvvY+ABY0ZL/b8Dbg0865PwCY2ZlEw+zEzEoUya9UARW/PrHVBYUXXMmo1SVBsfNIdCjF22YfPfVZMplMDzU8ElwAzrkngXAmxYnk22jdhYnbJHYXJvI6uNRdKEG240gPDTXlzJhcmdb2mbS8fmdmtwD3Ep1p40rgt2Z2CoBzbn2mxYrkUjaPcym4RHJrR0sPJ6TZ6oLMwuuk2M/Ea3idTDTMzsvguURyqlCCayS04tcruETeqn9omH1tfbx/ZboXHclstOG5oz1uZtc45+5M+5VFckTBJeIvm/Z3EnFw2oL0Z8bP5JjXWD6XxecSGZdUgzPiH1NwiRSWl/a0M6mshFMXTB1745hshtfY83mI5NBo1+XKdEi8gkskP5xzbNjbzjsX1b9xPa90ZDO8jrpcioiX0hlZGG/cVzxWcImM2/6Ofpq7Bjhn2fSM9lPLSwIhG8e5RmTS6lJwiUzM2h3RK12duzS9aaFGpB1esQtKjrbuqYxeWSRLcjVAYywKLpGJcc7xh6ZmVs+fxpyp6U0LNSKTltf/S7Lup3FF3JjRK4tkQbbnLIw3WqtLwSUycVsPdbO/vZ8PnJL+EPkRYw6VN7NlwPHAFDP7QNxDk4H0ToUWyYF0gisT6ba6FFwi2fHIpoPUVpZyyUmzMt43nfO8lgIXA3XAJXHru4BPZPyKIlmQbnBls7sw1awZ8Y9lcj0uUHBJ8WrpHuD5na1c+875VFdkMl9G1Jh7OOd+AfzCzN7hnHtmPEWKZFO2gyuVxLB6y2MTDK5ks8MruKSYPLBhPwZcd8b8ce2fyTGvPWb2MzM7HFv+n5nNGderioxTtoJrIhRcIhPT2jPIE1sO88enzMl4oMaITMLrduABYFZs+WVsnUheTDS44qW6zMlY4ifYVXCJjM9PX9iDc/CZcxeP+zkyCa/pzrnbnXPh2HIHkNnAfJFxSufSJvHbZfMkZIiGVuLM8PG3FVwi6dnV0sNvtzRz7TvnM69+fK0uyGxW+SNm9hGil0QBuBpoGfcri6RprJGDiUPi4yXrLsw0xEbrJgQFl0i6Is5x21M7mFJVxmfPWzKh58okvD4OfBf4duz+U8B1E3p1kTGMNl9h/OPx2412nCuT4IoPLVBwiUzUY5sPsfVQN/9yxUlMqSqb0HNlckmUXcClE3o1kQykG1zxxroacjKJIXXU46N0E4KCSyQdBzv6uff53ZyxuH5cJyUnymR6qIVm9ksza46NNvyFmS2ccAUiaRrPAI2JdBfC2Me3FFwiYxsajvBvj79OeWkJ/3z5SZhNfCrcTLoN7wFuBv4odv8qose/TptwFSIJxjuyMN6EBmgkCS04upsQFFwiY7n72V3sONLDrR99O7PqJmXlOTMZbVjlnLs7brThj9D0UJID6U7tNNoAjfGKHwI/cn+Egkskc49sOsijrx7ihrMXcsHxx2TteTNpeT1kZl8A7iN67a4rgQfNbBqAc641a1VJ0ZrIca54GY8oTDKbRjrHtxJvK7hE3rR+dxt3PbOTdy+fzufXLMvqc2cSXh+M/fwkb1540oh2HzpAx78k6zLpLhxPq2u00AIFl8h4bdzXwXf+ZyvLZ07mX686mZJQdi/5mEl4fR542DnXaWZfBk4B/s45tz6rFUnRmkh3YTpGm6sw2eOjdRMm3lZwibxpy8Eu/uXRLcyvr+bu608b18S7Y8nkmNffxILrTOA84AfA97JekRSliXYXphphmK7E1paCS2R8Nu7r4OsPb+aYyZX81/86jWnV5Tl5nUzicDj28yLg+865X5vZ3+egJikyYwXXWNtORKrWFozdTQgKLpF4L+xq418f28qChmp+dP1pTJ+cuzF9mYTXPjO7BXgP8A0zqyCzlpvIUdIJo0wDq2LW0owvd5IstEDBJZKuxzYf4randvC22VO487rVTM1Ri2tEpgM21gDfdM61m9lM4C9zU5YUg1ShNNYgDRh7oEayAEt2zCs+tEDdhCKZijjH/Wv38MCG/bzruEZu/vAp1OTgGFeiTKaH6gX+O+7+AeBALoqS4EsnuCZqrAEa6bS2Eu8ruETeNBiO8J+/28Yz21v40GnzuOnS4yktyU+HXO7jUSRBtkcVTp45P6Nh8uNpbYGCSyReZ/8Q3/rNVrYc6uILFy7jk2cvzMq0T+lSeEnBGK3VlY2BGumGVrL7Ci6RNx3s6OefHnmNlu5B/v1DJ3PxibPyXoPCS/IqH92FiUYLLci8tZVsO5FisfVQF9/8zRZKQsa9N5zG24+d5kkdCi/Jm0xaT5m2tBIDKhW1tkTG79ntLfzHb5uYVTeJO69bzfyGas9qUXhJXowWRrlsdY0YrbWVeF+tLZG3cs7xy5cPcO/zu3n7sVP5/sdW5ezk43QpvCTnMg2ubJ6InElogYJLJNFwxHHH0zv4n82HufjEmXzzipOoLCvxuiyFl+RWtmfEGLFg+pSks8mPPJaMuglFMjMYjvDvT7zO2p1tfOqcRfzlBUsJZXmC3fFSeEnOjBVcE+0uTBVSidTaEslc3+Aw33p0Cxv3d/K3l6zg2jMWeF3SWyi8JLCShY+CS2Rs3f1hvvHIa+xo7uFbHzyJD5wyx+uSjqLwkpzIdqtraUNF2l2Q6YQWqJtQJJnWnkG+/tBmDnUN8L2PnJLVqx9nk8JLsi5Xx7lGgiXZ848WOmptiaSnpXuAv/v1q3T1h7njulN556IGr0tKSeEleTfRY13phoxaWyLpa+8d5B8e3EzPwDD3fOJ0Vs6t87qkUSm8JKuy0erKpIsw1f6J1NoSSa1nIMzXH36N9t5B7r7+tIIPLlB4SZ7l8oTkVEGk4BJJbTji+O7jr7OvrY/brj2VVfO9me4pUwovyZpsHusa7fhWsu2SSRVaY+0nUkz+67ldbNjbwTf++ATOPq7R63LSpvCSgjbekFFrS2Rsz21v4aGNB7nujPlceeo8r8vJiMJLsiKdVlc+5jBUa0skPa09g/zgyR2cNGcKX3rfcq/LyZjCSwJhtNACBZdIotue3MFwJMK3r1xJWZ6ufpxNCi+ZsFyd15UOhZZI5l7e284Lu9v44oXLWNhY43U546LwkgnxIrjGCqwRCi6Ro0Wc457ndjNn6iSuPWO+1+WMm8JLfCHdwAKFlshoXt7bzq7WXr595UlUlHp/aZPxUnjJuOWj1ZVJaIGCS2QsD208SGNtBRedMMvrUiYk50fpzGyNmW0xsyYz+0KSxyvM7P7Y48+Z2fzY+nIzu93MXjGzDWZ2Tq5rlfTlOriWN1Zk3NpScImMrrVnkJf3dvCh1fMoL/XfII14OW15mVkJcDPwHmAvsNbMHnDOvRq32fVAm3NusZldBXwDuBL4BIBz7gQzmw48ZGanOuciuaxZvKWWlkjurNvVCsAlJ830uJKJy3X0rgaanHPbnXODwH3AZQnbXAbcGbv9U+B8MzNgBfA4gHPuMNAOrMpxvZKG8ba6RgumTFtaoOASydT6XW0saKhm8fRar0uZsFwf85oN7Im7vxc4LdU2zrmwmXUA9cAG4FIzuxeYC7w99vP5HNcso5hod2GmAZWMQkskcxHnaGru5tKTZntdSlYU8oCN24DlwDpgF/A0MJy4kZndANwAMG+ev6Y38RMvz+WKp+ASeVP899+MWaNf7fhgRz89A8Oc7IMZ49OR627DfURbSyPmxNYl3cbMSoEpQItzLuyc+z/OuZXOucuAOmBr4gs45251zq1yzq1qbPTPpJJ+ouASKUzx339Tp9WPuu3+jj4AjjvG/12GkPvwWgssMbMFZlYOXAU8kLDNA8A1sduXA48755yZVZlZNYCZvQcIJwz0kDwohODSSEKRiTvcGf1bnjetyuNKsiOn3YaxY1g3Ao8AJcBtzrlNZnYTsM459wDwQ+BuM2sCWokGHMB04BEzixBtnX00l7XKWxVCaIFaWyLZ0tY7SFmJMbWqzOtSsiLnx7yccw8CDyas+0rc7X7giiT77QSW5ro+OZqCSyR4egaGmTKpnOhgbv/z91lqknUKLpFgGgwPU1Xu3+mgEim85A0KLpHgMjMiznldRtYU8lB5yZNCCS1QcInkSknIiESCE15qeRU5BZdIcQgZDAeo5aXwKmIKLpHiETJjOEAtL3UbFqlCCS6Flkh+VJWX0NkXxjkXiBGHankVIQWXSPGprSxjcDhC7+BRs+z5ksKryCi4RIrT5EnRjrbWnkGPK8kOdRsWkUIILoWWiDdqK6Iza7T2DDI3AFNEqeVVJBRcIsVNLS/xnUyCa3Nz8m0neh0uBZeIt2or32x5BYFaXvKGVME1UQouEe/VVETbKm29wQgvtbwCLp1WV65CCxRcIoWioizaVunTaEMpdAouERlRGgoRMugPK7ykgCm4RCRReWmI/qGI12VkhcKrSCm4RIpPeWmIviG1vKRAZXtYfCYjDRVcIoXLRaAkAFNDgcIrcLzuLhSRwuSco29omNrKYIzTU3gVmUyDS60ukWDoGxomHHHUVZV5XUpWKLwCRN2FIpLK4a7o98Ocqf6fGgoUXoGh4BKR0Rzs6AdgXgDmNQSFlySh4BIJnu3N3ZSGjCUzarwuJSsUXgGQzVaXgkskmLY197BsZi0VpSVel5IVCi8BoqGl4BIJpoHwMFsPdXH6gnqvS8maYIyZlLRpdniR4vPagS7CEcdZxzV6XUrWqOXlc/m8TpeCS8Sf1u5sZVJZCactmOZ1KVmj8JK0KLhE/Gk44li7s5V3r5hBZVkwjneBwkvSoOAS8a9XD3TS2R/mohNmel1KVim8fCwfXYYKLhF/e3Z7C1XlJZyzNDjHu0ADNiQFhZaI/4UjEdbubOWCgHUZglpekoSCSyQYXt3fSVd/mItOnOV1KVmnlpe8QaElEizPbm+huqKEs5Y0eF1K1qnlJYCCSyRoIhHH+t3tnL8seF2GoPDytWwEztKGCgWXSABtPdxFR98Q71kxw+tSckLdhkVKgSUSbC/saqM0ZIEbZThC4eVzIyE01rB5hZVI8XDOsW5nG+9cVE9tZTAuPplI4RUQCicRGdHcNcDBzn4+dc4ir0vJGR3zEhEJmC2HugBYHaC5DBMpvEREAua1g13UVpaydEat16XkjMJLRCRgth7qYtWxUwmFzOtSckbhJSISIN39Yfa29bFqfnC7DEHhJSISKLtaewA4YfYUjyvJLYWXiEiA7GntBWDZMcE93gUKLxGRQNnd2kddVRmNtcE+fUbhJSISIHvbell2TC1mwR2sAQovEZHAiDjHnrZelh0z2etSck7hJSISEM1dA/QPRQJ/vAsUXiIigbE7NlhjqcJLRET8YmSk4XEBnlljhMJLRCQg9rT1MnfqJKorgj/nusJLRCQg9rf3s6QIWl2g8BIRCQQHHOzoZ1Fjtdel5EXw25YiIkUgPOwID0dY2FjjdSl5oZaXiEgADA1HAFjYUBwtL4WXiEgAvBFeanmJiIhfDA07JleW0lBT7nUpeaHwEhEJgKHhCAsaqgM/p+EIhZeISACEI44506q8LiNvFF4iIgEQHo4wu26S12XkTc7Dy8zWmNkWM2sysy8kebzCzO6PPf6cmc2PrS8zszvN7BUz22xmX8x1rSIifuVA4ZUtZlYC3AxcCKwArjazFQmbXQ+0OecWA98GvhFbfwVQ4Zw7AXg78MmRYBMRkaPNUnhlzWqgyTm33Tk3CNwHXJawzWXAnbHbPwXOt+gRRwdUm1kpMAkYBDpzXK+IiG/NmBzsqyfHy3V4zQb2xN3fG1uXdBvnXBjoAOqJBlkPcADYDXzTOdea+AJmdoOZrTOzdc3Nzdn/DUREClT89x/AtOriGCYPhT1gYzUwDMwCFgB/bmYLEzdyzt3qnFvlnFvV2NiY7xpFRDwT//0HCq9s2gfMjbs/J7Yu6TaxLsIpQAvwIeBh59yQc+4w8BSwKsf1ioj4khlUlRfPdLW5Dq+1wBIzW2Bm5cBVwAMJ2zwAXBO7fTnwuHPOEe0qPA/AzKqB04HXclyviIgvlYYKuSMt+3L628aOYd0IPAJsBn7snNtkZjeZ2aWxzX4I1JtZE/BnwMhw+puBGjPbRDQEb3fOvZzLekVE/CpUHBNrvCHnbUzn3IPAgwnrvhJ3u5/osPjE/bqTrRcRkaOFimRaqBHF1c4UEQkohZeIiPhOsXUbKrxERAIgVGTppfASEQkAdRuKiIjvFFl2KbxERIKgyLJL4SUiIv6j8BIRCYIia3opvEREAsCKLL0UXiIi4jsKLxGRACiudpfCS0QkGIosvRReIiLiOwovEZEAKLKGl8JLRET8R+ElIhIAxTZUPucXo/SD+qoSr0sQEZmQuqoyr0vIK7W8REQCoLy0uL7Oi+u3FRGRQFB4iYiI7yi8RETEdxReIiLiOwovERHxHYWXiIj4jsJLRER8R+ElIiK+o/ASERHfUXiJiIjvKLxERMR3FF4iIuI75pzzuoasMbNmYJeHJTQARzx8/XiqJTnVkpxqSc7rWo4459aks6GZPZzutkEQqPDympmtc86t8roOUC2pqJbkVEtyhVSLvJW6DUVExHcUXiIi4jsKr+y61esC4qiW5FRLcqoluUKqReLomJeIiPiOWl4iIuI7Ci8REfEdhdcozGyNmW0xsyYz+0KSxyvM7P7Y48+Z2fzY+jIzu9PMXjGzzWb2xXSfM8+17Iytf8nM1uWhlnIzuz32mhvM7Jy4fd4eW99kZv9mZuZhLb+NPedLsWV6lmo528zWm1nYzC5PeOwaM3s9tlyTh/dlPLV48b48bGbtZvarhPULYp9nU+zzLfewljvMbEfc+7IynVpkgpxzWpIsQAmwDVgIlAMbgBUJ23wa+M/Y7auA+2O3PwTcF7tdBewE5qfznPmqJXZ/J9CQx/flM8DtsdvTgReAUOz+88DpgAEPARd6WMtvgVU5eF/mAycCdwGXx62fBmyP/Zwauz01x+/LeGrJ6/sSe+x84BLgVwnrfwxcFbv9n8CnPKzljsRtteR+UcsrtdVAk3Nuu3NuELgPuCxhm8uAO2O3fwqcH/ufsQOqzawUmAQMAp1pPme+ahmvidSyAngcwDl3GGgHVpnZTGCyc+5ZF/02uAt4vxe1pPMGjLcW59xO59zLQCRh3/cCjzrnWp1zbcCjwJpcvi+Z1pLGa+aiFpxzjwFd8etin995RD9PiH6+uX5fktYi3lF4pTYb2BN3f29sXdJtnHNhoAOoJ/pH1QMcAHYD33TOtab5nPmqBaLB9hsze8HMbkijjonWsgG41MxKzWwB8HZgbmz7vWM8Z75qGXF7rAvoy2l21Y33sx1t31y+L+PdN5/vSyr1QHvs88zkOXNRy4h/MLOXzezbZlaRpeeUUSi8cmM1MAzMAhYAf25mCwuwljOdc6cAFwKfMbOzc1zLbUS/MNYB3wGejtXmhdFq+bBz7gTgrNjyUU8qLDx6X5L7IrAMOJVod+vnvS2nOCi8UtvHW/8nPie2Luk2sW65KUAL0eNMDzvnhmJdUk8R7ZJK5znzVQvOuX2xn4eBnxENupzV4pwLO+f+j3NupXPuMqAO2Brbfs4Yz5mvWuLfly7gHrL3vmS6by7fl4z39eB9SaUFqIt9npk8Zy5qwTl3wEUNALeT3vsiE6TwSm0tsCQ2qqmc6MH+BxK2eQAYGY11OfB47NjEbqJ98phZNdED7q+l+Zx5qcXMqs2sNm79BcDGXNZiZlWx18LM3gOEnXOvOucOAJ1mdnqsK+pjwC+8qCXWjdgQW18GXJzF9yWVR4ALzGyqmU0l+lk8kuP3JaNaPHpfkor9u36C6OcJ0c831+9LSrFjkyPH4t5Peu+LTJTXI0YKeQHeR/R/49uAv46tuwm4NHa7EvgJ0ER0VNjC2Pqa2PpNwKvAX472nF7UQnTE1YbYsilPtcwHtgCbgf8Bjo17zlVE/+i3Af9ObPaXfNcCVBMdefhy7H35V6AkS7WcSrSrsodo62FT3L4fj9XYBFyXh/clo1o8fF/+ADQDfbFt3hv37/f5WI0/ASo8rOVx4JXY5/QjoCZX30la3lw0PZSIiPiOug1FRMR3FF4iIuI7Ci8REfEdhZeIiPiOwktERHxH4SWSATO7ycze7XUdIsVOQ+VF0mRmJc45r6azEpE4anmJAGY238xeM7P/suh1z34am4Vjp5l9w8zWA1fErt10eWyfU83saYteD+x5M6s1sxIz+2czWxubqPWTHv9qIoGk8BJ501LgP5xzy4leNubTsfUtzrlTnHP3jWwYm17ofuBzzrmTgHcTnXnheqDDOXcq0dkaPhGbtV5EskjhJfKmPc65p2K3fwScGbt9f5JtlwIHnHNrAZxznS56iY4LgI+Z2UvAc0Qv37Ekt2WLFJ/SsTcRKRqJB4BH7vdk8BwGfNY590h2ShKRZNTyEnnTPDN7R+z2h4AnR9l2CzDTzE4FiB3vKiU6K/unYjOvY2bHjcxeLyLZo/ASedMWohfl3AxMBb6XakMXvYz8lcB3zWwD8CjRGex/QHT2/vVmthG4BfVwiGSdhsqLEB1tCPzKOfc2j0sRkTSo5SUiIr6jlpeIiPiOWl4iIuI7Ci8REfEdhZeIiPiOwktERHxH4SUiIr7z/wEg/vaMDPN43gAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<Figure size 432x432 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[df.rule==\"martin\"])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<seaborn.axisgrid.JointGrid at 0x7f739b816610>"
|
|
]
|
|
},
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x432 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[df.rule==\"ramp\"])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<seaborn.axisgrid.JointGrid at 0x7f739b6baa50>"
|
|
]
|
|
},
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x432 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[df.rule==\"sin\"])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x432 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.jointplot(x='price', y='spot_price',kind='kde',data=df[(df.rule==\"step\")])\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 31,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"gb=df[['timestep','experiment_index','run','abs_err']].groupby(['run','experiment_index'])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 32,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<style scoped>\n",
|
|
" .dataframe tbody tr th:only-of-type {\n",
|
|
" vertical-align: middle;\n",
|
|
" }\n",
|
|
"\n",
|
|
" .dataframe tbody tr th {\n",
|
|
" vertical-align: top;\n",
|
|
" }\n",
|
|
"\n",
|
|
" .dataframe thead th {\n",
|
|
" text-align: right;\n",
|
|
" }\n",
|
|
"</style>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>supply</th>\n",
|
|
" <th>price</th>\n",
|
|
" <th>reserve</th>\n",
|
|
" <th>spot_price</th>\n",
|
|
" <th>output_price</th>\n",
|
|
" <th>run</th>\n",
|
|
" <th>substep</th>\n",
|
|
" <th>timestep</th>\n",
|
|
" <th>experiment_index</th>\n",
|
|
" <th>kappa</th>\n",
|
|
" <th>invariant</th>\n",
|
|
" <th>dust</th>\n",
|
|
" <th>rule</th>\n",
|
|
" <th>dP</th>\n",
|
|
" <th>sigma</th>\n",
|
|
" <th>period</th>\n",
|
|
" <th>err</th>\n",
|
|
" <th>abs_err</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>1.000000e+06</td>\n",
|
|
" <td>0.100000</td>\n",
|
|
" <td>50000.000000</td>\n",
|
|
" <td>0.100000</td>\n",
|
|
" <td>0.100000</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.000000</td>\n",
|
|
" <td>0.000000</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>1.003176e+06</td>\n",
|
|
" <td>0.100160</td>\n",
|
|
" <td>50318.134269</td>\n",
|
|
" <td>0.100318</td>\n",
|
|
" <td>0.100159</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>-0.000158</td>\n",
|
|
" <td>0.000158</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>9.980062e+05</td>\n",
|
|
" <td>0.100046</td>\n",
|
|
" <td>49800.814088</td>\n",
|
|
" <td>0.099801</td>\n",
|
|
" <td>0.100059</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.000246</td>\n",
|
|
" <td>0.000246</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>1.008073e+06</td>\n",
|
|
" <td>0.100305</td>\n",
|
|
" <td>50810.553452</td>\n",
|
|
" <td>0.100807</td>\n",
|
|
" <td>0.100304</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>3</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>-0.000503</td>\n",
|
|
" <td>0.000503</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>1.005005e+06</td>\n",
|
|
" <td>0.100645</td>\n",
|
|
" <td>50501.765321</td>\n",
|
|
" <td>0.100501</td>\n",
|
|
" <td>0.100654</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>4</td>\n",
|
|
" <td>0</td>\n",
|
|
" <td>2</td>\n",
|
|
" <td>20000000.0</td>\n",
|
|
" <td>1.000000e-08</td>\n",
|
|
" <td>martin</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.005</td>\n",
|
|
" <td>N/A</td>\n",
|
|
" <td>0.000145</td>\n",
|
|
" <td>0.000145</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" supply price reserve spot_price output_price run \\\n",
|
|
"0 1.000000e+06 0.100000 50000.000000 0.100000 0.100000 0 \n",
|
|
"1 1.003176e+06 0.100160 50318.134269 0.100318 0.100159 0 \n",
|
|
"2 9.980062e+05 0.100046 49800.814088 0.099801 0.100059 0 \n",
|
|
"3 1.008073e+06 0.100305 50810.553452 0.100807 0.100304 0 \n",
|
|
"4 1.005005e+06 0.100645 50501.765321 0.100501 0.100654 0 \n",
|
|
"\n",
|
|
" substep timestep experiment_index kappa invariant dust \\\n",
|
|
"0 0 0 0 2 20000000.0 1.000000e-08 \n",
|
|
"1 1 1 0 2 20000000.0 1.000000e-08 \n",
|
|
"2 1 2 0 2 20000000.0 1.000000e-08 \n",
|
|
"3 1 3 0 2 20000000.0 1.000000e-08 \n",
|
|
"4 1 4 0 2 20000000.0 1.000000e-08 \n",
|
|
"\n",
|
|
" rule dP sigma period err abs_err \n",
|
|
"0 martin N/A 0.005 N/A 0.000000 0.000000 \n",
|
|
"1 martin N/A 0.005 N/A -0.000158 0.000158 \n",
|
|
"2 martin N/A 0.005 N/A 0.000246 0.000246 \n",
|
|
"3 martin N/A 0.005 N/A -0.000503 0.000503 \n",
|
|
"4 martin N/A 0.005 N/A 0.000145 0.000145 "
|
|
]
|
|
},
|
|
"execution_count": 32,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"df.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 33,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"df['price_pc']=df.price.pct_change()\n",
|
|
"df['spot_price_pc']=df.spot_price.pct_change()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 34,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 429x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.lmplot(x='spot_price_pc', y='price_pc', hue='rule',truncate=True,data=df)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def response_plot(rdf, title):\n",
|
|
" plt.subplots(figsize=(10,6))\n",
|
|
" ax1=subplot(2,1,1)\n",
|
|
" rdf[[\"spot_price\",\"price\"]].plot(ax=ax1)\n",
|
|
" plt.legend([\"spot price (output: $P_t$)\", \"price sample (input: $\\hat P_t$)\" ])\n",
|
|
" #plt.xlabel(\"transaction count (time)\")\n",
|
|
" plt.ylabel(\"Price, $\\hat P_t$, $P_t$\")\n",
|
|
" plt.title(title+\" Response Dynamics\")\n",
|
|
" ax2=subplot(2,1,2)\n",
|
|
" rdf[[\"abs_err\"]].plot(ax=ax2,logy=True, color='green')\n",
|
|
" plt.legend([\"$Error: |P_t-\\hat P_t|$\" ])\n",
|
|
" plt.xlabel(\"transaction count (time)\")\n",
|
|
" plt.ylabel(\"Absolute Value of Estimation Error\")\n",
|
|
" plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "NameError",
|
|
"evalue": "name 'subplot' is not defined",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
|
|
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
|
|
"\u001b[0;32m<ipython-input-36-783e7ec4e4dd>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mresponse_plot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdf\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mdf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrule\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;34m'step'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"Step\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
|
|
"\u001b[0;32m<ipython-input-35-0ec474876cdb>\u001b[0m in \u001b[0;36mresponse_plot\u001b[0;34m(rdf, title)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mresponse_plot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mrdf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtitle\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m6\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0max1\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msubplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mrdf\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"spot_price\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\"price\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0max\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0max1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlegend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"spot price (output: $P_t$)\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"price sample (input: $\\hat P_t$)\"\u001b[0m \u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
|
"\u001b[0;31mNameError\u001b[0m: name 'subplot' is not defined"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x432 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"response_plot(df[df.rule=='step'], \"Step\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"response_plot(df[df.rule=='ramp'], \"Ramp\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"response_plot(df[df.rule=='sin'], \"Periodic\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"response_plot(df[df.rule=='martin'], \"Martingale\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.7.5"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|