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selectionposet.py
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import matplotlib.pyplot as plt
import numpy as np
import math
from matplotlib.widgets import Slider, Button, RadioButtons
def nCr(n,r):
f = math.factorial
return f(n) / f(r) / f(n-r)
class PowerSet:
def addBaseElement(self,i):
self.numBaseElements = self.numBaseElements + 1
n = len(self.pset)
for j in range(n):
s = list(self.pset[j])
s.append(i)
self.pset.append(s)
def __init__(self,n):
self.numBaseElements = 0
self.pset = [[]]
for i in range(0,n):
self.addBaseElement(i)
def getCard(self,i):
l = []
for s in self.pset:
if len(s) == i:
l.append(s)
return l
def getByCard(self):
l = []
for i in range(self.numBaseElements+1):
l.append(self.getCard(i))
return l
def get(self):
return self.pset
plt.figure(figsize=(8, 14))
plt.grid(True)
ax = plt.subplot(111)
ax.spines["top"].set_visible(False)
ax.spines["bottom"].set_visible(False)
ax.spines["right"].set_visible(False)
ax.spines["left"].set_visible(False)
ax.get_yaxis().tick_left()
significantRegion1 = [0,2]
vec1 = [10,15,15,10]
offset1 = -22
significantRegion2 = list(significantRegion1)
vec2 = list(vec1)
offset2 = offset1
print(vec1)
print(offset1)
plt.subplot(121)
n = len(vec1)
maxval = sum(list(vec1))
plt.ylim(0, maxval*1.1)
if(n%2 == 0):
width = nCr(n,n/2)
else:
width = nCr(n,(n+1)/2)
plt.xlim(-width/2, width/2)
powerset = PowerSet(n)
powerList = powerset.getByCard();
plt.fill_between([-width/2, width/2], [0, 0],
[-offset1, -offset1],
color="0", alpha=0.75)
for s1 in powerList:
numCard = len(s1)
card = len(s1[0])
initx = -(numCard-1)/2
offx = 0
for s2 in s1:
label = ''
x = 0
for i in s2:
label = label +"{}".format(i)
x += vec1[i]
label += ''
if(s2 == significantRegion1):
col = '#ff0000'
else:
if(x > -offset1):
col = '0.5'
else:
col = "0"
plt.plot((initx+offx,) ,(x,), 'ro', color = col)
plt.text(initx+offx,x, label, color = col, fontsize = 12, ha="right", va="top")
offx+= 1
regionValue = 0
for i in significantRegion2:
regionValue += vec2[i]
print(regionValue)
for i in significantRegion2:
vec2[i] -= 1.2*(regionValue + offset2)/len(significantRegion2)
significantRegion2.append(len(vec2))
print(significantRegion2)
vec2.append(0.8*(regionValue + offset2))
vec1.append(0)
print(vec2)
print(offset2)
plt.subplot(122)
n = len(vec2)
maxval = sum(list(vec2))
plt.ylim(0, maxval*1.1)
if(n%2 == 0):
width = nCr(n,n/2)
else:
width = nCr(n,(n+1)/2)
plt.xlim(-width/2, width/2)
powerset = PowerSet(n)
powerList = powerset.getByCard();
plt.fill_between([-width/2, width/2], [0, 0],
[-offset2, -offset2],
color="0", alpha=0.75)
for s1 in powerList:
numCard = len(s1)
card = len(s1[0])
initx = -(numCard-1)/2
offx = 0
for s2 in s1:
label = ''
x2 = 0
x1 = 0
for i in s2:
label = label +"{}".format(i)
x2 += vec2[i]
x1 += vec1[i]
label += ''
if(s2 == significantRegion1):
col = '#ff0000'
else:
if(s2 == significantRegion2):
col = '#00ff00'
else:
if(x1 > -offset1):
col = '0.5'
else:
col = "0"
plt.plot((initx+offx,) ,(x2,), 'ro', color = col)
plt.text(initx+offx,x2, label, color = col, fontsize = 12, ha="right", va="top")
offx+= 1
plt.show()