Python hypot() is an inbuilt method that is defined under the math module, which is returned Euclidean norm, which is sqrt(a*a+b*b). We can use a math module by importing it. The syntax for it would be import math; after importing, we use to call this function using the static object. It is an essential function as it reduces the complexities of the problem associated.
Euclidean norm can be defined as the length of the vector from the origin point to the given point here, suppose x and y.
Python hypot()
Python hypot() is an inbuilt function that calculates the hypotenuse of a right triangle. It’s a method of math module. hypot(x,y): x,y are the two sides of the right triangle, hypotenuse = √x * x + y * y.
Syntax
math.hypot(a,b)
where a and b are numeric variables.
Parameters
It takes two parameters a, b, which are numbers which we will use to find the Euclidean form.
If any other type of values is passed ( suppose char), then it will throw a type error.
Return Value
It returns a value of float data type, which is the calculated result of the Euclidean form. If the number argument is the positive integer and Negative integer, hypot function returns the output. If a number argument is not the number, hypot function return TypeError.
Example program on hypot() functions in Python
Example 1: Write a program to show the working of hypot() function in Python.
import math
x1 = 3.5
y1 = 5.2
x2 = 6
y2 = 7
x3 = 9.2
y3 = 10
print("Euclidean norm for x=", x1, " y=", y1, " hypot=", math.hypot(x1, y1))
print("Euclidean norm for x=", x2, " y=", y2, " hypot=", math.hypot(x2, y2))
print("Euclidean norm for x=", x3, " y=", y3, " hypot=", math.hypot(x3, y3))
Output
Euclidean norm for x= 3.5 y= 5.2 hypot= 6.2681735776859275 Euclidean norm for x= 6 y= 7 hypot= 9.219544457292887 Euclidean norm for x= 9.2 y= 10 hypot= 13.588230201170422
In this example, we have seen that by passing a valid parameter in the hypot() function, we got our output as Euclidean form.
Example 2: Try to pass 1 integer value and 1 character value as the parameter of hypot() function and display the result.
import math x1 = 3.5 y1 = 'b' print(math.hypot(x1, y1))
Output
TypeError: must be real number, not str
In this example, we can see that while passing one integer and one character parameter, we get a type error. Both the parameters must be real numbers.
Python hypot() with list and tuple
Let’s see how we can use the Python hypot() method with a list and tuple. See the following code.
# app.py
import math
Tup = (11, 21, 3, -46, 5)
Lis = [-11, 21, -3.5, -46, 7.5]
print('Python HYPOT value of Positive Number = %.2f' % math.hypot(3, 4))
print('Python HYPOT value of Negative Number = %.2f' % math.hypot(3, -4))
print('Python HYPOT value of Tuple Item = %.2f' % math.hypot(Tup[2], Tup[3]))
print('Python HYPOT value of List Item = %.2f' % math.hypot(Lis[3], Lis[4]))
print('Python HYPOT value of Multiple Number = %.2f' %
math.hypot(3 + 6 - 4, 9 - 5))
print('Python HYPOT value of String Number = %.2f',
math.hypot('AppDividend', 'Python'))
In the above code, we have defined a Python list and tuple.
We have passed some elements of tuple and list to the math.hypot() function. If we pass the string as a parameter to the function, then it will return an error.
Output
python app.py
Python HYPOT value of Positive Number = 5.00
Python HYPOT value of Negative Number = 5.00
Python HYPOT value of Tuple Item = 46.10
Python HYPOT value of List Item = 46.61
Python HYPOT value of Multiple Number = 6.40
Traceback (most recent call last):
File "app.py", line 16, in <module>
math.hypot('AppDividend', 'Python'))
TypeError: a float is required
Conclusion
Python math method hypot() return the Euclidean norm, sqrt(x*x + y*y).
