Numpy Exercise 1

Imports


In [1]:
import numpy as np
%matplotlib inline
import matplotlib.pyplot as plt
import seaborn as sns

In [2]:
import antipackage
import github.ellisonbg.misc.vizarray as va


Downloading:  https://raw.githubusercontent.com/ellisonbg/misc/master/vizarray.py
Using existing version:  github.ellisonbg.misc.vizarray

Checkerboard

Write a Python function that creates a square (size,size) 2d Numpy array with the values 0.0 and 1.0:

  • Your function should work for both odd and even size.
  • The 0,0 element should be 1.0.
  • The dtype should be float.

In [58]:
def checkerboard(size):
    """Return a 2d checkboard of 0.0 and 1.0 as a NumPy array"""
    a=np.zeros((size,size))
    for x in range(size):
        for y in range(size):
            if (x%2==0 and y%2==0)or ((x%2!=0) and y%2!=0):  
                a[x,y]=1

            else:
                a[x,y]=0
    return a

print(checkerboard(10))


[[ 1.  0.  1.  0.  1.  0.  1.  0.  1.  0.]
 [ 0.  1.  0.  1.  0.  1.  0.  1.  0.  1.]
 [ 1.  0.  1.  0.  1.  0.  1.  0.  1.  0.]
 [ 0.  1.  0.  1.  0.  1.  0.  1.  0.  1.]
 [ 1.  0.  1.  0.  1.  0.  1.  0.  1.  0.]
 [ 0.  1.  0.  1.  0.  1.  0.  1.  0.  1.]
 [ 1.  0.  1.  0.  1.  0.  1.  0.  1.  0.]
 [ 0.  1.  0.  1.  0.  1.  0.  1.  0.  1.]
 [ 1.  0.  1.  0.  1.  0.  1.  0.  1.  0.]
 [ 0.  1.  0.  1.  0.  1.  0.  1.  0.  1.]]

In [56]:
a = checkerboard(4)
assert a[0,0]==1.0
assert a.sum()==8.0
assert a.dtype==np.dtype(float)
assert np.all(a[0,0:5:2]==1.0)
assert np.all(a[1,0:5:2]==0.0)

b = checkerboard(5)
assert b[0,0]==1.0
assert b.sum()==13.0
assert np.all(b.ravel()[0:26:2]==1.0)
assert np.all(b.ravel()[1:25:2]==0.0)

Use vizarray to visualize a checkerboard of size=20 with a block size of 10px.


In [50]:
va.set_block_size(10)

va.vizarray(checkerboard(20))


Out[50]:

In [46]:
assert True

Use vizarray to visualize a checkerboard of size=27 with a block size of 5px.


In [52]:
va.set_block_size(5)
va.vizarray(checkerboard(27))


Out[52]:

In [ ]:
assert True