AGIS DANIELS EDITS 
I made this compressed version of the code from c++ and a python version on wikibooks 
toVec was moved to sub as toVec(a,b)== b-a 
tested this on 2 kattis problems 
my own version works on tested on 4 problems but it requires area and perimeter to work 
ccw and cross are almost the same in python as in c++
i added in a few things into the point class for it to solve the two convex hull problems on kattis that i tested on

Agis Daniels
for consistency reasons i removed sub and re added vec 
ccw already used it in a difference file so i just used it from the points line .py as well < had a more elegant version from that file too so i used it here too
retested and still holds ac on kattis

Agis Daniels
nice one liner for area 
i called cross product function to avoid the need to retype the code again 
should help avoid typos when implementing it from paper 
the less than for point seems to work nicely with floats :)
also added a oneliner version of the perimeter function above the code as well

Agis daniels

Agis Daniels
they already existed in other files polyline.py is where i took these ones from
also why is origin needed in the alt version of polygon area ??

Agis Daniels
already existed in pointlines file so i just used the one from there

Agis Daniels
the code i use in my own implementation is similar so i can just swap out my call with ccw as its similar to the c++ code :)

Agis Daniels
im a bit iffy on insidePolygon as i tried to implment it before both like this and super mega compressed version and it had some errors for some reason 
the second loop had errors i mean 
will need to ask suhendry about it

Agis daniels good to go

Agis Daniels edit
be sure to remove these two lines and set them to 0 in the __init__ function 
to my understanding those are class variables shared by all instances of the class as stated in this link
https://docs.python.org/3/tutorial/classes.html#class-and-instance-variables

removed two lines

I coded up the rest of the functions while trying to stay true to the source code from c++
i ran into some bugs for CH_Graham scan which i need help understanding

Agis daniels