Chaos course - Iterators

Chaos course - Iterators.ipynb

Chaos course - Iterators.py

# coding: utf-8

# ## Defining the iterator generator function

# In[63]:

def iteration_generator(seed, equation=None):
    # First check that an equation is provided
    if equation == None:
        raise ValueError("Missing equation, please provide a function.")
    # Initiate result
    result = seed
    # Deliver the result when requested
    while True:
        yield result
        # create the next result.
        result = equation(result)
    


# -----

# In[64]:

# This is the funciton provided to the iterator_generator
def double_it(x):
    return x*2


# In[65]:

# First create the generator object, passing in the seed (1) and the function (double_it)
g = iteration_generator(1, double_it)

# Then create an array of the first 5 results
print([next(g) for _ in range(5)])
print("")
print("Running the last line again would return the next 5 results")
print([next(g) for _ in range(5)])


# In[66]:

g = iteration_generator(0, double_it)
print([next(g) for _ in range(5)])


# In[67]:

g = iteration_generator(2, double_it)
print([next(g) for _ in range(5)])


# ------

# In[68]:

def square_it(x):
    return x**2


# In[69]:

g = iteration_generator(0, square_it)
print([next(g) for _ in range(5)])


# In[70]:

g = iteration_generator(0.5, square_it)
print([next(g) for _ in range(5)])


# In[71]:

g = iteration_generator(1, square_it)
print([next(g) for _ in range(5)])


# In[72]:

g = iteration_generator(2, square_it)
print([next(g) for _ in range(5)])


# ------

# In[73]:

def func_1(x):
    return 4*x - 12


# In[74]:

g = iteration_generator(0, func_1)
print([next(g) for _ in range(5)])


# In[75]:

g = iteration_generator(5, func_1)
print([next(g) for _ in range(5)])


# ----

# In[76]:

def func_2(x):
    return x/2 + 10


# In[77]:

g = iteration_generator(4, func_2)
series = [next(g) for _ in range(20)]
series


# In[78]:

from bokeh.charts import TimeSeries, show, output_notebook
output_notebook()


# In[45]:

plt = TimeSeries(series)


# In[46]:

plt.show()


# In[ ]: