numpy.hypot() in Python (original) (raw)

Last Updated : 08 Mar, 2024

This mathematical function helps user to calculate hypotenuse for the right angled triangle, given its side and perpendicular. Result is equivalent to Equivalent to sqrt(x1**2 + x2**2), element-wise.
Syntax :

numpy.exp2(arr1, arr2[, out]) = ufunc 'hypot') :

Parameters :

arr1, arr2 : [arraylike] Legs(side and perpendicular) of triangle out : [ndarray, optional] Output array with result.

Return :

An array having hypotenuse of the right triangle.

Code #1 : Working

import numpy as np

leg1 = [ 12 , 3 , 4 , 6 ]

print ( "leg1 array : " , leg1)

leg2 = [ 5 , 4 , 3 , 8 ]

print ( "leg2 array : " , leg2)

result = np.hypot(leg1, leg2)

print ( "\nHypotenuse is as follows :" )

print (result)

Output :

leg1 array : [12, 3, 4, 6] leg2 array : [5, 4, 3, 8]

Hypotenuse is as follows : [ 13. 5. 5. 10.]

Code #2 : Working with 2D array

import numpy as np

leg1 = np.random.rand( 3 , 4 )

print ( "leg1 array : \n" , leg1)

leg2 = np.ones(( 3 , 4 ))

print ( "leg2 array : \n" , leg2)

result = np.hypot(leg1, leg2)

print ( "\nHypotenuse is as follows :" )

print (result)

Output :

leg1 array : [[ 0.57520509 0.12043366 0.50011671 0.13800957] [ 0.0528084 0.17827692 0.44236813 0.87758732] [ 0.94926413 0.47816742 0.46111934 0.63728903]] leg2 array : [[ 1. 1. 1. 1.] [ 1. 1. 1. 1.] [ 1. 1. 1. 1.]]

Hypotenuse is as follows : [[ 1.15362944 1.00722603 1.11808619 1.0094784 ] [ 1.00139339 1.01576703 1.09347591 1.33047342] [ 1.37880469 1.10844219 1.10119528 1.18580661]]

Code 3 : Equivalent to sqrt(x1**2 + x2**2), element-wise.

import numpy as np

leg1 = np.random.rand( 3 , 4 )

print ( "leg1 array : \n" , leg1)

leg2 = np.ones(( 3 , 4 ))

print ( "leg2 array : \n" , leg2)

result = np.sqrt((leg1 * leg1) + (leg2 * leg2))

print ( "\nHypotenuse is as follows :" )

print (result)

Output :

leg1 array : [[ 0.7015073 0.89047987 0.1595603 0.27557254] [ 0.67249153 0.16430312 0.70137114 0.48763522] [ 0.68067777 0.52154819 0.04339669 0.2239366 ]] leg2 array : [[ 1. 1. 1. 1.] [ 1. 1. 1. 1.] [ 1. 1. 1. 1.]]

Hypotenuse is as follows : [[ 1.15362944 1.00722603 1.11808619 1.0094784 ] [ 1.00139339 1.01576703 1.09347591 1.33047342] [ 1.37880469 1.10844219 1.10119528 1.18580661]]