Examen_2018_2_0_5chiral.ipynb

Kernel: Python 3

import pandas as pd
import numpy as np
import sympy as sy

st=pd.read_csv('https://docs.google.com/spreadsheets/d/e/2PACX-1vQ6ltUxH161xsPuP_-66A86omeh9xce1JFD0Ok2mhO_JdwrPI4bMwlJPWgpxKsS6-doAS-0nhmLshJg/pub?output=csv')

Convert to sympy objects

for x in ['x1','x2','x3','x4','x5']:
    st[x]=st[x].map(sy.sympify)

Find solutions with two repeated charges

xs=['x1','x2','x3','x4','x5']
st2=pd.DataFrame()
for x in xs:
    for y in xs:
        if x!=y:
            st['pair']=x+'='+y
            tmp=st[ st[x]==st[y] ].reset_index(drop=True)
            tmp['nu']=tmp[x]
            st2=st2.append(tmp).reset_index(drop=True)
            
st2=st2.drop_duplicates(xs).reset_index(drop=True)      

st2[:3]

st2['nuk']=2-st2['nu']
st2

st22=pd.DataFrame()
for x in xs:
    st2

st2eq=pd.DataFrame()
for x in ['x1','x2','x3','x4','x5']:
    for y in ['x1','x2','x3','x4','x5']:
        if x!=y:
            st2['equal']=x+'='+y
            st2eq=st2eq.append(st2[ st2[x]==st2[y] ]).reset_index(drop=True)

st2eq.drop_duplicates(['x1','x2','x3','x4','x5'])

Keep as strings

st['sltn']=(st.x1+','+st.x2+','+st.x3+','+st.x4+','+st.x5).str.split(',')
st['sltnstr']=('('+st.x1+')'+'+'+'('+st.x2+')'+'+'+'('+st.x3+')'+'+'+
               '('+st.x4+')'+'+'+'('+st.x5+')')

Solutions with at least two repeated chiral fields

st2=st[st.sltnstr.str.contains( r'(\([\-0-9]*\/*[0-9]+\)).*\1'  )].reset_index(drop=True)
st2

/usr/local/lib/python2.7/dist-packages/ipykernel_launcher.py:1: UserWarning: This pattern has match groups. To actually get the groups, use str.extract.
  """Entry point for launching an IPython kernel.

st[st.sltnstr.str.contains('\(-13\)')]

sy.simplify('10/3+10/3-6-10/3     ')

st2

Solutions with 4 or 3 chiral fields

def dupli(x,a):
  isainx=False
  if a in x:
    isainx=True
  return isainx

st0=st[st.sltn.apply(lambda x: dupli(x,'0'))]

st[st.sltnstr.str.contains('13/5')]

st0[~st0.sltnstr.str.contains('0,0')]

st[st.sltnstr.str.contains('13/5')]

st2

st2[st2.sltnstr.str.contains(r'([0-9]*\/*[0-9]+),\1,\1')].reset_index(drop=True)

/usr/local/lib/python2.7/dist-packages/ipykernel_launcher.py:1: UserWarning: This pattern has match groups. To actually get the groups, use str.extract.
  """Entry point for launching an IPython kernel.

st2[~st2.sltnstr.str.contains(r'([0-9]*\/*[0-9]+),\1,\1')].reset_index(drop=True)

/usr/local/lib/python2.7/dist-packages/ipykernel_launcher.py:1: UserWarning: This pattern has match groups. To actually get the groups, use str.extract.
  """Entry point for launching an IPython kernel.