code for plotting Rogers-Ramanujan continued fraction on real plane

main.py

# Copyright (c) by Youngseok Choe in 2018.
# Fundamental Recurrence Formulas

import matplotlib.pyplot as plt

class Graph:
    def __init__(self, point):
        self.point = point
        self.x = [point[p][0] for p in range(len(point))]
        self.y = [point[p][1] for p in range(len(point))]
        self.name = None

    def plot(self):
        plt.plot(self.x,self.y,'tab:green')
        plt.show()

    def add(self,p):
        self.point.append(p)
        self.x.append(p[0])
        self.y.append(p[1])

    def name(self,name):
        self.name = name


G = Graph([])


def add_point(start,end,nbr,accuracy):
    def eval(x):
        A = [1,0]
        B = [0,1]
        for i in xrange(1,accuracy):
            if i == 1:
                a = x**0.2
            else:
                a = float(x)**(i-1)
            A.append(A[1] + a*A[0])
            B.append(B[1] + a*B[0])
            A.pop(0)
            B.pop(0)
        return A[1]/B[1]

    for i in xrange(1,nbr):
        x = start + (end - start)/float(nbr) * i
        G.add([x,eval(x)])

add_point(0,1,10000,999)
G.plot()