Question

please there are some specific instructions on the question so i would greatly appreciate if they are followed . thank you very much for your time

This lab covers: arrays functions input exception handling Question 1 The purpose of this question is to write a python program (script) that manipulates arrays using vector arithmetic. You will compute the values of points The ellipse has a major axis whose length is a and a minor axis whose length is b. For any point (xy) on the ellipse the following should be true. ellipse. on an x2 a b2 Write a function that begins with the header: def getNumber (prompt ) : The function repeatedly asks for a number (either a float or an int), by displaying the prompt, until the user enters a valid number. The function returns the number entered by the user. Hint: Strip the leading and trailing whitespace from the input from the user If value is the value returned by input the function must perform the following tests: if value is not a float or an int display the value of value and the message 'is not a number! if eval(value, [1. ) causes an if value is an empty string (that is the user did not type anything in and pressed return/enter) display the message Missing input! exception display the message Invalid input! Note: You should be able to modify a function from lab 6 to do this. 1 3 Page Write a function that begins with the header def yonEllipse (a, b, xValues) : This function is given the lengths of the major and minor axes and an array of X values. It must compute and return a new array of Y values using vector arithmetic where each element in the new array is computed using the formula y=b1- where a is the length of the major axis, b is the length of the minor axis and x is an element of the array of x values. Each value of (xy) is a point on the ellipse. Note: You must NOT use for or while in this function. Write a function that begins with the header: def verifyPoints (a, b, xvalues, yValues): This function uses vector arithmetic to compute and return an array where each element is True if 1-x a b for each corresponding pair of x and y values in the arrays xValues and yValues, otherwise the element is False. Note: You must NOT for or while in this function. use Write a function that begins with the header: def main(): This function calls getNumber three times to get the length of the major axis (a), the length of the minor axis (b), and the number of points along the major axis. The array of x values is created using the linspace function. For example if a 10.0 and the number of points along the major axis is 6 the array of x values is [0., 2, 4, 6, 8, 10.. Call yOnEllipse and verifyPoints to create two new arrays. Display the corresponding values of the arrays in three columns under an appropriate heading as shown in the sample output. The main program (not to be confused with the function main) should contain any import statements needed, the definitions of the functions and the statement main(). A sample run of the program is shown on the next page. In the column labeled 'On Ellipse all of the values should be True, why are some of them False? Enter the length of the major axis: Missing input! Enter the length of the major axis: 'hello' hello is not a number! Enter the length of the major axis: stuff Invalid input! Enter the length of the major axis: 10 Enter the length of the minor axis: 5 Enter the number of points along the major axis: 20 On Ellipse X 0.00 0.53 5.0000000000 4.9930699897 4.9722220073 4.9372797472 4.8879409529 4.8237638894 True True False False 1.05 1.58 True 2.11 False False 2.63 4.7441464151 3.16 4.6482951928 4.5351810367 True 3.68 True 4.21 4.4034738239 True 4.74 False False 4.2514459004 5.26 5.79 4.0768245750 True 3.8765578586 6.32 True 3.6464227528 6.84 7.37 7.89 8.42 3.3803243628 3.0689220499 2.6965659910 True True True True 2.2329687827 8.95 True 9,47 10.00 1.6007269817 True 0.0000000000 Programmed by Stew Dent. Date: Sat oct 27 10:05:56 2018 End of processing.

Answer 1

# module to genereate the random xvalues
import random
# to compute the square root value
import math
# method to read the number
def getNumber(msg):
   print(msg)
   x = input().strip()
   if(x==""):
       print("Missing input")
       getNumber(msg)
   else:
       try:
           x = float(x)
       except:
           print("Invalid input")
           getNumber(msg)
   return x
# method to compute the yvalues
def yOnEclipse(a,b,xValues):
   xsqrd = [i**2 for i in xValues]
   y=[]
   y = [b*(math.sqrt(1-(x**2/a**2))) for x in xValues]
   return y
# method to verify the eclipse
def verifyPoints(a,b,xValues,yValues):
   check =[]
   check = [(x**2/a**2)+(y**2/b**2)==1 for x,y in zip(xValues,yValues)]
   return check
# main method
def main():
   msg = "Enter the length of major Axis"
   a = getNumber(msg)
   msg = "Enter the length of minor axis"
   b= getNumber(msg)
   msg = "Enter number of point along major axis"
   n = getNumber(msg)
   # uniform() method to generate the random floating point numbers in the given range
   xValues =[round(random.uniform(0,a),2) for i in range(int(n))]
   yValues = yOnEclipse(a,b,xValues)
   check = verifyPoints(a,b,xValues,yValues)
   # ouput the values
   print("X","Y","OnEclipse",sep="\t")
   for x,y,c in zip(xValues,yValues,check):
       print(x,y,c,sep="\t")
# called when executed directly without importing module
if __name__ == '__main__':
   main()

X Command Prompt c:NUsers DellNDesktop>pyt hon eclipse.py Enter the length of major Axis Enter the length of minor axis 5 Enter number of point along major axis 20 On Eclipse Y 2.75124971603815 3.059080744275966 4.988083299224262 3.6614170753958097 4.71639692986076 3.6474100400146954 4.50696960273752 3.9308904843559307 2.8902595039200203 3.92695492716685 4.34161260363013 4.850131441517848 4.0223251981907175 4.058768286069063 4.847615393159817 0.7053367989832927 4.182391660282427 2.42962960140018 4.39722639853806 2.0620317650317617 8.35 7.91 0.69 6.81 3.32 6.84 4.33 6.18 8.16 6.19 4.96 2.43 5.94 5.84 2.45 9.9 5.48 8.74 4.76 9.11 True True False False False True True False True True True True False True False True False True True True C NUsersDe11NDesktop> П