Question

x + Run C Code Validate Implement the function step_random_walk_20(x_coords, Y_coords) below, which should take two arrays of equal length containing the x-andy- coordinates for some number of particles. We'll use a very simple random walk algorithm • For each particle, choose a random angle between 0 and 2 • The particle moves by 1 unit of distance in the direction given by d.o. It is displaced by (Ax, Ay) (cos, sino). We'll do this in a vectorized approach: we draw all the angles at once in a single array, and then calculate and apply the displacements using Nump functions. Your function should update the coordinates in place, which means it shouldn't return anything! In [ ] def step_randon_walk_2d (x_coords, Y_coords) + Vectorized algorithm Draw an array of random angles phi, uniformly between 0 and 2pi You should draw one angle for every particle. (Hintgo look at T21.10 again.) Use numpy functions (no for loops!) to calculate the arrays #delta x and delta y, the displacements for each particle Update x coords and y coorde in place, i.e. overwrite those variables with the displaced arrays ## YOUR CODE HERE Return None (since we changed the arrays in-place) return Mone Now in the cell below, create an initial distribution of 100 particles at the origin (0,0), apply one step of your function steprandom walk_2d1x,y) above, and then call pit.scatter to plot the positions after one step. You should see them distributed around a circle, due to the algorithm that we But you'see that despite this structure on top chose. (This doesn't look very "random", of course, since all the particle positions form a circle of radus on behavior after many steps will look much less uniform.) In [ ] 1 YOUR CODE HERE
please use python thanks will rate!!

Answer 1

For Python code, first we have to install Numpy and matplotlib library using with below commands for create the program. pip install numpy Pip install matplotlib # Create Python code for 2 Dimensional random walk. import numpy import pylab import random # defining the number of steps #creating two array for containing x and y coordinate #of size equals to the number of size and filled up with O's def step_random_walk_2dlx.coords, X.coords): n = 10 X.coords = numex.zeros(n) .coords = numpx.zeros(n) for i in range(1, n): val= random.randint(1,4) if val == 1: X.coords[i] = X_coordeli - 1] + 1

Xacoords[i] = Y..saerdsli - 1] elif val == 2: X.coords[i] = x_c99cdsli - 1] - 1 X.coords[i] = Y..seerdsli - 1] elif val == 3: X.coords[i] = X.coerdsli - 1] Xacoords[i] = y..soerdsli - 1] + 1 else: X.coords[i] = X.coerdsli - 1] V.coords[i] = y..ceerdsli - 1) - 1 #plotting stuff: pylab.title("Random Walk ($n = " + strin) + "$ steps)") Bylab.platix.coords, coords) pylab.saxefig("rand_walk"+str(n)+".png",bbox_inches="tight",dpi=600) pylab.show()