import timeit
from time import ctime
import numpy as np
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that store the value of h.
that store the value of k.
that store value of intervals.
that store the value from the prompt. that store the value of end of file. that store the value of a.
that store the xcoordinates. that store the ycoordinates. that store the appproximate area. that store the actual area.
that store the error between actual and approximate area. that store the amount of time taken by program.
def getPositiveNumber(prompt, EOF):
    while True:
number = input(prompt).strip() if number !='':
            try:
                number = eval(number, {}, {})
            except:
                print(number,'is not valid!')
            else:
                if number==0:
                    return 0
                    break
                elif type(number) is bool:
                    print(number, 'is not number!')
                elif type(number) is int or float:
                    if number > 0:
break else:
                        print(number, 'is less than zero!')
                else:
                    print(number, 'is not number!')

        else:
            print('Missing Input!')
    if prompt==0:
        return EOF
    else:
        return number
def parabola(h, k, xCoordinates): a = -k/(h**2)
ycoordinates = a*((xCoordinates - h)**2) + k return ycoordinates
def computeXcoordinates(h, intervals):
xcoordinates = np.linspace( 0,2*h,(intervals)+1) return xcoordinates
def computeArea(h, k, intervals):
xCoordinates = computeXcoordinates(h, intervals) yCoordinates = parabola(h, k, xCoordinates) approxarea = 0.
approxarea += sum(yCoordinates[1:]+yCoordinates[:-1])
    approxarea *= h/intervals
actarea = 4 * h * (k / 3) error = abs(approxarea-actarea)
print("""\nApproximate area under the parabola is %.14e cm^2 Actual area is %.14e cm^2
The error in the approximate area is %.6e cm^2""" % (approxarea,actarea,error))
def displayTerminationMessage():
    print("""
Programmed by Manjinder Singh, Harsh Ahir. Date: %s
End of processing.""" % ctime())
EOF = -1 while True:
    h = getPositiveNumber('Enter the value of h in cm (0 to quit): ', EOF)
    if h>0:
        k = getPositiveNumber('Enter the value of k in cm (0 to quit): ', EOF)
        if k>0:
            intervals = getPositiveNumber('Enter the number of intervals in cm
(0 to quit): ', EOF)
intervals')
if intervals>0:
t = timeit.Timer('computeArea(h,k,intervals)',
'from __main__ import computeArea, h, k ,
computeTime = t.timeit(1)
print ("Compute time using vector arithmetic is %.3f seconds." %
(computeTime) )
            else:

break else:
break
else: break
while EOF:
    break
displayTerminationMessage()