plot - Create gradient vectors in python

Question

I need to map vectors on a plane using Gradients.

I was given an equation and I then determined it's grad function (https://en.wikipedia.org/wiki/Gradient)

I now need to use python to map all the vectors on a plane

x and y are defined by the following :

-2<x<2 step = 0,25

-2<y<2 step = 0,25

So I started with this code : It can calculate the x and y components of the gradient vector. However I dont how to calculate the components (gradx and grady) for all the values of x and y.

import matplotlib.pyplot as plt
import numpy as np
from numpy import array
   

x = np.arange(-2,2,0.25)
y = np.arange(-2,2,0.25)

def gradx (x,y):
         
    gradx = np.exp((-x^2)-(y^2))*(1-2*x^2+4*x^3-2*x^5)
 
    return gradx

def grady (x,y):
         
    grady = -2*np.exp(-x^2-y^2)*x*y*(1+x)*(1-x+x^2)
 
    return grady

I then need to create vectors whose components are [gradx;grady] for every possible combination of x and y (there are a lot of them) and plot them.

I know I'm asking for quite a big project, if I could have some help for at least creating the vectors with the right components that would be very helpful.

question from:https://stackoverflow.com/questions/65903807/create-gradient-vectors-in-python

Answer 1

Waitting for answers