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 [3]:
# there's got to be a more efficient way using some sort 
# of list comprehension

def checkerboard(size):
    cb = np.ones((size,size), dtype = float)
    for i in range(size):
        for j in range(size):
            if(i+j) % 2 == 1:
                cb[i,j] = 0.0
    return cb
    
checkerboard(4)


Out[3]:
array([[ 1.,  0.,  1.,  0.],
       [ 0.,  1.,  0.,  1.],
       [ 1.,  0.,  1.,  0.],
       [ 0.,  1.,  0.,  1.]])

In [4]:
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 [5]:
va.set_block_size(10)
va.enable()
checkerboard(20)


Out[5]:

In [6]:
assert True

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


In [7]:
va.set_block_size(5)
va.enable()
checkerboard(27)


Out[7]:

In [8]:
assert True