CS8

Step 4: Draw a tree

In your project01.py define a drawTree() function as shown below

def drawTree(t, height, color): ''' This function uses turtle t to draw a tree of a given height that consists of a rectangular brown bark and a top comprised of three triangles of a given color stacked on top of each other. The bottom left corner of the bark (or the bottom left corner of the rectangle that the tree fits in), should be the current location of the turtle. Make no assumptions about the orientation of the turtle. After drawing the tree the turtle should be returned to its original position and oriented at 0 degrees All other parameters such as the width of the tree and the length of the bark must be chosen so that the tree is well proportioned: a taller tree is wider and has a thicker and taller bark. ''' 

• In the spirit of Test Driven Development (TDD) style of developing your code, think about how you would test your drawTree() function.

• Its natural to inspect the output visually, making sure your tree looks right with the expected shape and color. However it may be harder to tell if its drawn with the correct dimensions.

• To check that write a function checkTreeHeight() that helps you visually inspect if your tree is drawn with the specified height by drawing it beside a rectangle of the same height. Below is one possible implementation of the checkTreeHeight() function:

def checkTreeHeight(t): t.up() t.goto(0,-200) t.down() drawRectangle(t, 200, 200, 0 , "red","") t.seth(0) drawTree(t, 200, "green") if __name__=="__main__": chris = turtle.Turtle() checkTreeHeight(chris) 

If you ran the above code with a correct implementation of drawTree() you should see that the top of the tree coincide with the top side of the rectangle as shown in the following output:

Come up with an algorithm to draw a tree

Your next task to come up with a recipe (algorithm) to draw a tree. Think about the steps involved and write them out. Your algorithm should look something like this

Inputs: height of the tree (height), color of the tree top (color)

• Step 1: Draw the bark
  • Step 1a: Go to the location of the bottom left corner of the bark
  • Step 1b: Draw a rectangle of width (_), height (__) .
• Step 2: Draw the tree top
  • Step 2a: .
  • Step 2b:
• Step 3: Return to the initial location of the turtle

Your algorithm should be similar but more complete. Write your algorithm as comments inside your drawTree() function.

• Now identify the information that your algorithm needs that is not a direct input to your algorithm. For example: the location of the bottom left corner of the bark, the width of the rectangle that forms the bark, the height of the bark, and so on.

• Refine your algorithm by adding steps for calculating missing information.

• Your final task is to convert your algorithm to Python code. This means writing python instructions that perform what each step in your algorithm describes. For example, go to the location of the bottom left corner of the bark will translate to t.goto(x,y), where (x, y) is the lcoation of the bottom left corner of the bark relative to the start position of the turtle. Retain your algorithm as comments in your code

• Test your implementation drawing at least two well-proportioned trees of different heights at two different locations. This code should be part of checkTreeHeight()

Make an initial submission

Once you are done with the drawTree(), make an initial submission on Gradescope to the assignment for project01

Step 5: Draw a forest: row of trees

We would now like to go from drawing one or two trees to many trees, which will eventually become our forest. To begin define the function drawForest() as below:

def drawForest(t): ''' Draws a collection of trees placed at random locations within a rectangular region ''' 

Getting to a solution is an iterative process. Attempt a simpler version of the drawForest()function that would help you progress towards a final solution. Its up to you to define a simpler version of the forest. I might start by making a forest that comprises of just three trees of the same height placed in a row with equal spacing between them. For now, follow along because this simpler solution is a good segway to learning a very important programming concept: loops

One way of drawing three trees that are equally spaced from each other is to REPEAT the following two steps, three times in your code:

• jump to a new spot
• call the drawTree() function

The corresponding code is shown below:

 # Move the turtle to location (-200, -100) and draw a tree t.up() t.goto(-200, -100) t.seth(0) t.down() drawTree(t, 200, "green") # Move the turtle to location (0, -100) and draw another tree t.up() t.seth(0) t.forward(200) t.down() drawTree(t, 200, "green") # Move the turtle to location (200, -100) and draw the third tree t.up() t.seth(0) t.forward(200) t.down() drawTree(t, 200, "green") 

A (better) alternative is to use a for loop to do the repetion for you:

 # Move the turtle to an initial location (code has been omitted) for i in range(3): t.up() t.seth(0) t.forward(200) t.down() drawTree(t, 200, "green") 

Notice that when writing the for loop, we first identified what code needs to be repeated, and second placed that code in the body of the for loop. The for loop runs the block of code inside it three times. Try this technique to implement the first version of your drawForest() function. When you call the function you should get an output similar to the one below:

Drawing all the trees in a straight line is a good first attempt at creating the forest, its not very realistic. So, your next goal is to place the trees at random locations that are roughly along a horizontal line. Hint: use the python random module.

The next section is a warmup for working with the random module.

Step 6: Take a detour into random numbers

We are going to now do some warmups with random numbers. We will cover random numbers in lecture in Week 7. Open a new file named randomPlay.py and experiment with the information in this section in that file. You dont need to submit this file.

Start by writing a simple for loop to draw triangles along a circle. This code does not involve randomization.

from basicShapes import * def regularPlay(t): ''' A circle of triangles ''' t.pensize(10) for i in range(36): t.up() radius = 200 x = radius*math.cos(i*10*math.pi/180) y = radius*math.sin(i*10*math.pi/180) t.goto(x,y) t.down() drawTriangle(t, 50, 50, "black", "red") ... if __name__=="__main__": chris = turtle.Turtle() ... regularPlay(chris) 

When you run the above code, you should find a very regular arrangement of triangles along a circle as shown below. Read the code to understand why its producing this output. Note that the location of each triangle is dependent on the value of our loop variable i.

We will next use the random module to randomize two aspects of our drawing: the location of each triangle and its color. Previously, we drew all our triangles along a circle of radius 200. This time we will introduce a small random perturbation in that value by adding a random number between -50 and 50 to the radius in every iteration of the for loop. The line of code that does that is:

 radius = 200 + random.randint(-50, 50) 

The second modification we will make is to select the color of each triangle at random from a list of colors. The following two lines of code defines our color choices and then selects one color from this list at random.

 # A list of color codes for different shades of green shadesOfGreen =["#006400", "#556b2f", "#8fbc8f", "#2e8b57", "#3cb371", "#20b2aa", "#32cd32"] color = random.choice(shadesOfGreen) # select one of the elements of the list at random 

Now copy the following function into your randomPlay.py file, read it and then run it

def randomPlay(t): ''' Experiments with the random module ''' shadesOfGreen =["#006400", "#556b2f", "#8fbc8f", "#2e8b57", "#3cb371", "#20b2aa", "#32cd32"] t.pensize(10) for i in range(36): t.up() radius = 200 + random.randint(-50, 50) x = radius*math.cos(i*10*math.pi/180) y = radius*math.sin(i*10*math.pi/180) t.goto(x,y) t.down() color = random.choice(shadesOfGreen) drawTriangle(t, 50, 50, "black", color) 

The output of the code is shown in the figure below. Try changing the limits to the random.randint() function and re-run the code, and observe the outcome. Notice how you can control the level of randomness in your drawings using this simple strategy.

Apply what you have learned in this section to complete your drawForest() function. Your forest should contain anywhere between 10 trees of different sizes and different shades of green placed randomly roughly along a horizontal line.

Step 7: Draw a hut, then a village

Define a function to draw a hut with fixed dimensions, composed of only rectangles.

def drawHut(t): ''' Draw a brown hut of fixed dimensions purely composed of rectangles Use the random module to enhance your drawing by introducing irregularilities in a controlled way ''' def drawVillage(t): ''' Draw a sequence of five huts, placed randomly along a horizontal line ''' 

When testing these functions, comment out all calls to previous functions. This will help you focus on the elements of interest in your drawing.

Step 8: Put it all together

Finally, put all the elements that you have implemented to draw the final scene. When you are finished, ask a TA or instructor to look it over and give you some feedback on it.

Your code in project01.py` should be structured as follows:

1. A single file called project01.py
2. import statements
3. Next, function defintions: drawTree(), checkTreeHeight(), drawForest(), drawHut(), and drawVillage() and any other functions that you like to add.
4. Finally, code that calls those functions to draw the forest scene. That code should be in a block that starts with if __name__=="__main__": as explained later in the lab.

If your code meets all those criteria, you should be in good shape to submit it.

Step 9 (OPTIONAL) Make it your own!

With this project you have the opportunity to extend your learning by creating a non-trivial object to add to your scene. This can be anything you can come up with and draw using the turtle. Some examples include: a flower, a robot, etc. Feel free to use any functions inside the Python documentation on the turtle module

Step 10: Submitting via Gradescope

Note that this week, although we are using Gradescope, it is NOT the case that the grade you get from Gradescope is your final grade for the assignment.

The initial automatically assigned grade on Gradescope is just a PART of your gradeyou will get 10 points for basically submitting anything that is a valid Python program that has the name project01.py.

However, the other 90 points for this lab will come from the instructor or TA doing a manual inspection of your code to see if it complies with the requirements listed above.

If you want reassurance that your code is in good shape, you may ask a TA or instructor to look it over during office hours or lab.

To submit your code, navigate to the page on Gradescope.com for submitting project01

If you got all green, and 10 points, then your submission was acceptedbut to emphasize, for this project, the other 90 points will be assigned by a human grader.

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