# -*- coding: utf-8 -*-
"""
Created on Tue Jan 30 13:57:24 2018
@author: neil
"""

# a very simple example of using an imported method
# Here we integrate x-squared from 0 to 1.  The answer is 1/3.
from scipy.integrate import quad    #quad is the basic scipy integration method

# define a function that we want to integrate
def myfunc(y):
    return y*y   

result = quad(myfunc,0,1)  # quad returns a tuple (integral,error)

# note that if 'myfunc' only takes 1 input variable, using an imported method is usualy fairly
# easy.  If 'myfunc' takes more than one, then you need to be very careful that the order of the
# variables is what the imported method expects


# Below is a simple and a somewhat more elegant way of printing out the results
integral = result[0]
print("The integral of x*x from 0 to 1 is- " + str(integral))
# here we take advantage of the fact that you can add strings
# 'str()' is a built-in that converts a number to a string

# using some more elegant python, you should try to figure this out
print("the integral of x*x from 0 to 1 is- {:8.3f}".format(quad(myfunc,0,1)[0]))
# the 'string.format' method replaces the '{xxx}' in the string with variables
# from the '()' of the format.  A typical '{}' is {:8.3f} which means convert the
# () data to a string representation of floating point number in 8 spaces, and 3 decimals