Computer Science

# More grids

Please see the grid reference for what we can do with grids. A quick reference is also below:

``````# import grid library
from byugrid import Grid

# create a new grid with given width and height -- all cells are `None` initially
grid = Grid(width, height)

# grid width and height
grid.width
grid.height

# every cell has an (x,y) coordinate, starting at (0, 0) in the upper left

# loop over all the columns
for x in range(grid.width)

# loop over all the rows
for y in range(grid.height)

# get the cell contents at coordinate (x, y) -- raises an error if out of bounds
grid.get(x, y)
# set the cell contents at coordinate (x, y) to contain the given value -- also raises an error if out of bounds
grid.set(x, y, value)
# checks if a coordinate is in bounds -- True if in bounds, False otherwise
grid.in_bounds(x, y)``````

## Doctests for grids

It’s easy to write a doctests for a function that returns True or False. For example:

``````def is_happy(grid, x, y):
"""
>>> grid = Grid.build([[None, 'p', 'p'], ['p', None, 'p']])
>>> is_happy(grid, 0, 0)
False
>>> is_happy(grid, 1, 0)
True
"""``````
1. Build a grid and store it in a variable
• a grid is just a list of lists
• one list for every row
2. Call the function, passing in the grid
3. Check the return value

How do we write a doctest for a function that changes the grid? We need to be able to check if the new grid is what we expect.

Let’s work on a function called `set_edges()`:

``````def set_edges(grid):
"""
Set all the squares along the left edge (x=0) to 'a'.
Do the same for the right edge.
Return the changed grid.
"""
for y in range(grid.height):
grid.set(0, y, 'a')
grid.set(grid.width - 1, y, 'a')
return grid``````

First of all, let’s be sure we understand what this is doing:

• loops over all the columns in the grid
• sets every cell at the left edge to ‘a’
• (0, y) is a coordinate at the left edge
• sets every cell at the right edge to ‘a’
• (grid.width -1, y) is a coordinate on the right edge
• returns the grid
• very important! this lets us test the function by seeing if the returned grid is correct

Here is a doctest for this function:

``````>>> grid = Grid.build([['b', 'b', 'b'], ['x', 'x', 'x']])
>>> set_edges(grid)
[['a', 'b', 'a'], ['a', 'x', 'a']]``````

• create a new grid, with two rows
• call `set_edges()` with this grid
• check the return value by writing a grid, just like you would pass to `Grid.build()`

Reminder: Your doctest has to have all the spacing between brackets correct.

Put all of this into PyCharm and run it.

## Pseudo random numbers

Computers are deterministic — if you give them some code, they will run it and do the same thing every time. It’s nice to to be able to do some things randomly in computer programs. For example, maybe you want to create random rewards for a video game or simulate what random weather events might do to an airplane.

We usually do this by generating pseudo random numbers meaning they are statistically random but are generated by a computer algorithm.

A good example is the Python random module:

``````import random

# pick a random number from 1 to 10
random.randrange(10)

# pick a random letter from a string
random.choice('cougars')``````

Here is a function that puts the string “CS 110” into a random location in a grid:

``````from byugrid import Grid
import random

def random_cs110(grid):
# pick a random x coordinate
x = random.randrange(grid.width)
# pick a random y coordinate
y = random.randrange(grid.height)
# store the string
grid.set(x, y, "CS 110")
return grid

grid = Grid(4, 4)
print(random_cs110(grid))``````

Run this a few times to convince yourself that it is random!

Now … how do we test this function? Every time we run it, it likely has different output!

### Reminder

Use `random.seed()` if you need to test a function using random numbers. The seed initializes the random number generating algorithm to start at the place you tell it.

You can write a doctest for this function using:

``````>>> grid = Grid(2, 2)
>>> random.seed(57)
>>> random_cs110(grid)
[[None, None], ['CS 110', None]]``````

Calling `random.seed(57)` sets the random number generating algorithm so that we always get `x = 0, y = 1`. Think of the `random.randrange()` algorithm as being an infinite sequence of numbers between 0 and the maximum value. The seed chooses which sequence of numbers to use when you run the program, otherwise it would pick a random sequence.

## Animating the grid

Now we’re ready to create a grid animation! Download movie.zip so you can work with this code yourself in PyCharm. We want to make a movie that has letters from the word ‘cougars’ flying from right to left. Here is a screenshot:

There are two functions we need to fill in for this code, one to create random letters on the right edge of the grid, and one to scroll the letters left:

``````def random_right(grid):
"""
Set 10% of the right grid column to random letters from the word 'cougars'
:param grid: a grid
:return: the same grid, but with random letters on the right edge
"""
pass

def scroll_left(grid):
"""
Implement scroll_left as in lecture notes.
"""``````

We have provided doctests for both of these, but you should consider adding more.

### random right

Let’s start with `random_right(grid)`, which creates random letters on the right edge of the grid. Let’s write down some pseudocode for this. We can do that with comments:

``````# loop through every row

# one out of every times through this loop:

## pick a random letter from 'cougars'

## set the cell at (grid.width - 1, y) to that letter``````

Once we have comments, we can write the code for this. Let’s try it! (In class, we will do this together.)

If we wanted to set every cell on the right edge with a random letter, we could do this:

``````for y in range(grid.height):
char = random.choice('cougars')
grid.set(grid.width - 1, y, char)
return grid``````

This loops through all the rows, chooses a random letter from `cougars`, and then sets the cell in that row, at coordinate `(grid.width - 1, y)` to hold that letter. Notice how we have to return the grid once we are done, so we can test the function.

But we want to do this for only 10% of the cells on the right edge. Remember, 10% is 1 in 10. So we just need to pick a random number between 0 and 9, and then only add a random letter if this value is equal to 0, which will happen 10% of the time. So:

``````def random_right(grid):
for y in range(grid.height):
if random.randrange(10) == 0:
char = random.choice('cougars')
grid.set(grid.width - 1, y, char)
return grid``````

Try running the doctest, which looks like this:

``````>>> grid1 = Grid.build([[None ], [None], [None], [None], [None], [None], [None], [None], [None], [None]])
>>> random.seed(86)
>>> random_right(grid1)
[['a'], [None], ['s'], [None], [None], [None], [None], [None], [None], [None]]``````

Notice how we use the random seed to setup the randomness so that we know we will always get the same answer (‘a’ in the first row and ‘s’ in the third row).

### scroll left

Now we can do the second piece, scrolling the letters left. We want to loop through all the cells and check if there are any that are not None. If we find a letter, then we want to move it to the left.

Let’s draw out an example:

Can you write the code for this? (In class, we will do this together.)

Here is some solution code:

``````for y in range(grid.height):
for x in range(grid.width):
# get value at (x, y)
value = grid.get(x, y)
if value is not None and grid.in_bounds(x - 1, y):
# move letter at (x, y) to the left
grid.set(x - 1, y, value)
grid.set(x, y, None)``````

Notice we have to be sure to check whether the left cell is in bounds!

Try running the doctest for this.

• Use divide and conquer — break the problem into smaller pieces, solve one piece at a time

• Test each function separately

• Don’t try to run the program, look at it how it works (e.g. an animation), and try to fund the bug that way — use doctests for individual functions

• If a particular function isn’t working as you expect, use the debugger built into Pycharm

## Debugging practice

Run the `movie-buggy.py` version of the code. This has bugs in it. Notice what it does! You might be tempted to try to figure it out (see the above advice).

Without looking at the solution code, see if you can debug it and find what is wrong. Run the doctests and see what the output is.