Question

Write the functiongetInRange (x, a, b)that takes 3 float values and forces to lie between an and is not necessarily less than. If x is between the two bounds, it is returned unmodified. Otherwise, if x is less than the lower bound, return the lower bound, or if xis greater than the upper bound, return the upper bound. Use pythons as a programming language

Answer 1

Here is the getInRange() function:

def getInRange(x,a,b):

lower = min(a,b)

upper = max(a,b)

if(x<lower):

x = lower

elif(x>upper):

x = upper

return x

Step-by-step explanation:

Here is the complete program if you want to take the input float values for x, a and b from user:

x = float(input("Enter x: ")) #prompts user to input float value of x

a = float(input("Enter a: ")) #prompts user to input float value of a

b = float(input("Enter b: ")) #prompts user to input float value of b

def getInRange(x,a,b): #function definition

lower = min(a,b) #computes minimum of a and b and store it to lower

upper = max(a,b) #computes maximum of a and b and store it to upper

if(x<lower): #if value of x is less than lower bound

x = lower # return the lower bound by assigning the value of lower to x

elif(x>upper): #if value of x is greater than upper bound

x = upper #return the upper bound by assigning value of upper to x

return x #function returns the value of x

print(getInRange(x,a,b)) #calls function by passing values for x, a and b and print the result on output screen

I will explain this function with an example:

Suppose

x = 1.1

a = 3.3

b = 5.6

Now the method getInRange takes these three values as parameter and works as follows:

lower = min(a,b)

This statement computes the minimum value of a and b by using min() method and sets the resultant value to lower variable. This becomes:

lower = min(3.3,5.6)

Since 3.3 is less than 5.6 so minimum value is 3.3 Hence

lower = 3.3

upper = max(a,b)

This statement computes the maximum value of a and b by using max() method and sets the resultant value to upper variable. This becomes:

upper= max(3.3,5.6)

Since 5.6 is greater than 3.3 so maximum value is 5.6 Hence

upper = 5.6

if(x<lower):

This statement checks if the value of x is less than value of lower

Since x = 1.1 and lower = 3.3 So, 1.1 is less than 3.3

This means the statement inside this if statement executes:

x = lower

So the value of lower is set to x, So

x = 3.3

Now the elif part will not execute. Program moves to the following statement:

return x

This will return the value of x i.e. 3.3

print(getInRange(x,a,b))

This statement calls getInRange() method and prints the result on screen. So the output of the above program with input is:

Enter x: 1.1 Enter a: 3.3 Enter b: 5.6 3.3