Numpy Exercise 1

Imports


In [3]:
import numpy as np
%matplotlib inline
import matplotlib.pyplot as plt
import seaborn as sns

In [4]:
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 [5]:
def checkerboard(size):
    """Return a 2d checkboard of 0.0 and 1.0 as a NumPy array"""
    # YOUR CODE HERE
    board=np.zeros((size,size), dtype=np.float) #creates a board of size x size consisting of all zeros
    for n in range(size):  
        board[n,0+n:size:2]=1 #makes upper triangle a checkerboard by for each row n, starting n spots making it 1,then alternating to end of row
    for n in range(1,size):
        board[-n,-n-2::-2]=1 #fills in the remaining bottom half of triangle with alternating ones by starting from opposite side
    return board

In [6]:
a=checkerboard(6)
print(a)


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

In [7]:
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 [8]:
# YOUR CODE HERE
va.set_block_size(10)
va.enable()
checkerboard(20)


Out[8]:

In [9]:
assert True

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


In [105]:
# YOUR CODE HERE
va.set_block_size(5)
checkerboard(27)


Out[105]:

In [ ]:
assert True