# -----------------------------------------------------------------------------
# The next few lines show how to:
# - Construct a second SimpleTurtle,
# set its pen and speed INSTANCE VARIABLES, and ask it to do things.
# -----------------------------------------------------------------------------
natasha = rg.SimpleTurtle('turtle')
natasha.pen = rg.Pen('red', 30) # Second argument is the Pen's thickness
natasha.speed = 5 # Bigger means faster, max is usually about 10
natasha.backward(50)
natasha.right(90)
natasha.forward(125)
natasha.speed = 1 # Now slower
natasha.go_to(rg.Point(-100, 200))
###############################################################################
#
# TODO: 4.
# Add a few more lines of your own code to make one of the existing
# SimpleTurtles move some more and/or have different characteristics.
#
# ** Nothing fancy is required. **
# ** A SUBSEQUENT exercise will let you show your creativity. **
#
# As always, test by running the module.
#
###############################################################################
natasha.speed = 19
natasha.forward(700)
def run_test_RETURN_circle():
""" Tests the RETURN_circle function. """
print()
print('-----------------------------------------')
print('Testing RETURN_circle:')
print('-----------------------------------------')
print()
print('See the graphics window for this test.')
print('If an error msg appears at any point,')
print('then you have FAILED this test.')
# ------------------------------------------------------------------
# Tests 1 and 2 (on one window):
# ------------------------------------------------------------------
window = rg.RoseWindow(500, 400, 'Testing RETURN_circle')
text = rg.Text(rg.Point(250, 125), '')
text.attach_to(window.initial_canvas)
circle = rg.Circle(rg.Point(200, 300), 50)
circle.fill_color = 'blue'
circle.attach_to(window.initial_canvas)
msg = 'Note: If you see an error message at ANY point,\n'
msg = msg + 'then you have failed this test.\n\n'
msg = msg + 'I have drawn the original, blue circle.\n\n'
msg = msg + 'So you should see a BLUE circle below\n'
msg = msg + '(and nothing else).\n\n'
msg = msg + 'Click the mouse to continue this test.\n'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
new_circle = RETURN_circle(circle, 'red')
if new_circle:
new_circle.attach_to(window.initial_canvas)
msg = 'I have now called your RETURN_circle function\n'
msg = msg + 'and drawn the CLONED, RED circle that your\n'
msg = msg + 'RETURN_circle function should have returned.\n\n'
msg = msg + 'So you should see a RED circle below\n'
msg = msg + '(and nothing else, since the blue circle\n'
msg = msg + 'is beneath the red circle).\n\n'
msg = msg + 'Click the mouse to continue this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
if new_circle:
new_circle.detach_from(window.initial_canvas)
msg = 'I have now UN-drawn the CLONED, RED circle.\n\n'
msg = msg + 'So you should see the original, BLUE circle below\n'
msg = msg + '(and nothing else).\n\n'
msg = msg + 'Click the mouse to continue this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
circle.detach_from(window.initial_canvas)
msg = 'I have now UN-drawn the ORIGINAL, blue circle.\n\n'
msg = msg + 'So you should see NO circles below.\n\n'
msg = msg + 'Click the mouse to continue this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
if new_circle:
new_circle.attach_to(window.initial_canvas)
msg = 'Now I have RE-drawn the CLONED, RED circle\n'
msg = msg + 'that your RETURN_circle function\n'
msg = msg + 'should have returned.\n\n'
msg = msg + 'So you should see a RED circle below\n'
msg = msg + '(and nothing else).\n\n'
msg = msg + 'Click the mouse to continue this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
# ------------------------------------------------------------------
# Note: The following statements make the variable new_circle
# refer to a new, green circle. So we can no longer refer
# to the RED circle (to which the variable new_circle once
# referred). But the red circle still exists!
# ------------------------------------------------------------------
new_circle = RETURN_circle(circle, 'green')
if new_circle:
new_circle.attach_to(window.initial_canvas)
msg = 'Now I have ALSO drawn the CLONED, GREEN circle\n'
msg = msg + 'that your RETURN_circle function\n'
msg = msg + 'should have returned.\n\n'
msg = msg + 'So you should see a GREEN circle below\n'
msg = msg + '(and nothing else, since the red circle\n'
msg = msg + 'is beneath the green circle).\n\n'
msg = msg + 'Click the mouse to continue this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
if new_circle:
new_circle.detach_from(window.initial_canvas)
msg = 'I have now UN-drawn the CLONED, GREEN circle.\n\n'
msg = msg + 'So you should see the cloned, RED circle below\n'
msg = msg + '(and nothing else).\n\n'
msg = msg + 'Click the mouse to continue this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
new_circle2 = RETURN_circle(rg.Circle(rg.Point(250, 350), 25), 'white')
if new_circle:
new_circle.attach_to(window.initial_canvas)
if new_circle2:
new_circle2.attach_to(window.initial_canvas)
msg = 'I have now RE-drawn the CLONED, GREEN circle.\n'
msg = msg + 'Additionally, I called your RETURN_circle function\n'
msg = msg + 'again, asking it to return a smaller WHITE circle\n'
msg = msg + 'that is below and to the right of the other circles.\n\n'
msg = msg + 'So you should see a GREEN circle below\n'
msg = msg + 'and a smaller WHITE circle below and to its right\n'
msg = msg + '(but NOT the red circle, since it\n'
msg = msg + 'is beneath the green circle).\n\n'
msg = msg + 'Click the mouse to conclude this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
window.close()
def circle_and_rectangle():
"""
-- Constructs an rg.RoseWindow.
-- Constructs and draws a rg.Circle and rg.Rectangle
on the window such that:
-- They fit in the window and are easily visible.
-- The rg.Circle is filled with 'blue'
-- Prints (on the console, on SEPARATE lines) the following data
associated with your rg.Circle:
-- Its outline thickness.
-- Its fill color.
-- Its center.
-- Its center's x coordinate.
-- Its center's y coordinate.
-- Prints (on the console, on SEPARATE lines) the same data
but for your rg.Rectangle.
-- Waits for the user to press the mouse, then closes the window.
Here is an example of the output on the console,
for one particular circle and rectangle:
1
blue
Point(180.0, 115.0)
180
115
1
None
Point(75.0, 150.0)
75.0
150.0
"""
window = rg.RoseWindow(700, 500)
center = rg.Point(150, 400)
radius = 100
circle = rg.Circle(center, radius)
circle.fill_color = 'blue'
circle.attach_to(window)
circle_outline = circle.outline_thickness
circle_fill = circle.fill_color
circle_center = circle.center
center_x = center.x
center_y = center.y
print("CIRCLE")
print("circle outline thickness:", circle_outline)
print("fill color:", circle_fill)
print("center:", circle_center)
print("center x-coordinate:", center_x)
print("center y-coordinate:", center_y)
print()
#start rectangle
r1 = rg.Point(422, 50)
r2 = rg.Point(690, 172)
rectangle = rg.Rectangle(r1, r2)
rectangle.attach_to(window)
rect_outline = rectangle.outline_thickness
rect_fill = rectangle.fill_color
rect_cent_x = (r1.x + r2.x) / 2
rect_cent_y = (r1.y + r2.y) / 2
print("RECTANGLE")
print("rectangle outline thickness:", rect_outline)
print("fill color:", rect_fill)
print("center:", rect_cent_x, ",", rect_cent_y)
print("center x-coordinate:", rect_cent_x)
print("center y-coordinate:", rect_cent_y)
print()
window.render()
window.close_on_mouse_click()
def problem2a(circle, rectangle, window):
"""
See problem2a_picture.pdf in this project for pictures
that may help you better understand the following specification:
What comes in:
-- An rg.Circle.
-- An rg.Rectangle.
-- An rg.RoseWindow.
What goes out: Nothing (i.e., None).
Side effects:
-- Draws the given rg.Circle and rg.Rectangle
on the given rg.RoseWindow, DONE
then waits for the user to click the window.
-- Then draws an rg.Line from the upper-right corner
of the rg.Rectangle to its lower-left corner,
with the line drawn as an arrow,
then waits for the user to click the window.
-- Changes the fill color of the given rg.Circle to the
outline color of the given rg.Rectangle,
then renders the window again
(with no waiting for a click from the user this time).
Must ** NOT close ** the window.
Type hints:
:type circle: rg.Circle
:type rectangle: rg.Rectangle
:type window: rg.RoseWindow
"""
# ------------------------------------------------------------------
# DONE: 2. Implement and test this function.
# Tests have been written for you (above).
# ------------------------------------------------------------------
# ------------------------------------------------------------------
# DIFFICULTY AND TIME RATINGS (see top of this file for explanation)
# DIFFICULTY: 6
# TIME ESTIMATE: 10 to 15 minutes.
# ------------------------------------------------------------------
circle.attach_to(window)
rectangle.attach_to(window)
window.render(0.03)
window.continue_on_mouse_click()
start = rg.Point(rectangle._upper_right_corner.x,
rectangle._upper_right_corner.y)
end = rg.Point(rectangle._lower_left_corner.x,
rectangle._lower_left_corner.y)
line = rg.Line(start, end)
line.attach_to(window)
window.render(0.03)
window.continue_on_mouse_click()
circle.fill_color = rectangle.outline_color
window.render(0.03)
window.continue_on_mouse_click()
circle.attach_to(window)
rectangle.attach_to(window)
def return_point(point):
return rg.Point(77, point.y) # Returns a NEW rg.Point
def draw_squares_from_circle(n, circle, window):
"""
What comes in: Three arguments:
-- A positive integer n.
-- An rg.Circle.
-- An rg.RoseWindow.
What goes out: Nothing (i.e., None).
Side effects:
See draw_squares_from_circle.pdf in this project for pictures
that may help you better understand the following specification:
First draws the given rg.Circle on the given rg.RoseWindow.
Then draws n rg.Squares on the given rg.RoseWindow, such that:
-- The first rg.Square circumscribes the given rg.Circle.
-- Each subsequent rg.Square has its upper-left quarter
on top of the lower-right quarter of the previous rg.Square,
so that the squares form an overlapping sequence
that goes down and to the right.
Must ** render ** but ** NOT close ** the window.
Type hints:
:type n: int
:type circle: rg.Circle
:type window: rg.RoseWindow
"""
# ------------------------------------------------------------------
# DONE: 2. Implement and test this function.
# Tests have been written for you (above).
#
# CONSIDER using the ACCUMULATOR IN GRAPHICS pattern,
# as in draw_row_of_circles in m1e,
# instead of directly using the loop variable.
#
####################################################################
# HINT: To figure out the code that computes the necessary
# positions of each square,
# ** FIRST DO A CONCRETE EXAMPLE BY HAND! **
####################################################################
# ------------------------------------------------------------------
r = circle.radius
point = circle.center
up_left_x = point.x - r
up_left_y = point.y - r
bot_right_x = point.x + r
bot_right_y = point.y + r
circle.attach_to(window)
for k in range(n):
top_left = rg.Point(up_left_x + (k * r), up_left_y + (k * r))
bot_right = rg.Point(bot_right_x + (k * r), bot_right_y + (k * r))
rectangle = rg.Rectangle(top_left, bot_right)
rectangle.attach_to(window)
window.render(.05)
def draw_lines_from_rectangles(r1, r2, n, window):
"""
What comes in: Four arguments:
-- Two rg.Rectangles.
-- A positive integer n.
-- An rg.RoseWindow.
What goes out: Nothing (i.e., None).
Side effects:
See draw_lines_from_rectangles.pdf in this project
for pictures that may help you better understand
the following specification:
First draws the given rg.Rectangles on the given rg.RoseWindow.
Then draws n rg.Lines on the given rg.RoseWindow, such that:
-- The 1st rg.Line goes from the center of one of the
1st rg.Rectangle to the center of the 2nd rg.Rectangle.
-- The 2nd rg.Line goes from the lower-left corner of the
1st rg.Rectangle and is parallel to the 1st rg.Line,
with the same length and direction as the 1st rg.Line.
-- Subsequent rg.Lines are shifted from the previous rg.Line in
the same way that the 2nd rg.Line is shifted from the 1st.
-- Each of the rg.Lines has thickness 5.
-- The colors of the rg.Lines alternate, as follows:
- The 1st, 3rd, 5th, ... rg.Line has color R1_color
- The 2nd, 4th, 6th, ... rg.Line has color R2_color
where
- R1_color is the outline color of the 1st rg.Rectangle
- R2_color is the outline color of the 2nd rg.Rectangle
Must ** render ** but ** NOT close ** the window.
Type hints:
:type rectangle1: rg.Rectangle
:type rectangle2: rg.Rectangle
:type n: int
:type window: rg.RoseWindow
"""
# ------------------------------------------------------------------
# TODO: 5. Implement and test this function.
# Tests have been written for you (above).
#
# CONSIDER using the ACCUMULATOR IN GRAPHICS pattern,
# as in draw_row_of_circles in m1e,
# instead of directly using the loop variable.
#
####################################################################
# HINT: To figure out the code that computes the necessary
# endpoints for each line,
# ** FIRST DO A CONCRETE EXAMPLE BY HAND! **
####################################################################
# ------------------------------------------------------------------
r1.attach_to(window)
r2.attach_to(window)
line = rg.Line(r1.get_center(),r2.get_center())
line.color= r1.outline_color
line.attach_to(window)
w = r1.get_width()/2
h = r1.get_height()/2
a = w
b = h
for k in range(n-1):
start = rg.Point(r1.get_center().x - a, r1.get_center().y + b)
end = rg.Point(r2.get_center().x - a, r2.get_center().y + b)
linemod = rg.Line(start,end)
if k % 2 == 0:
linemod.color = r2.outline_color
else:
linemod.color = r1.outline_color
a =a + w
b = b + h
linemod.attach_to(window)
window.render()
def many_hourglasses(window, square, m, colors):
"""
See many_hourglasses_picture.pdf in this project for pictures that may
help you better understand the following specification:
Displays m rectangles, where:
-- Each rectangle has an hourglass of circles inside it,
per the hourglass function above.
-- The circles in the hourglasses are all the same size.
-- The leftmost rectangle is the given square, and it contains
an hourglass with a single circle that fills the square.
-- Each successive rectangle is immediately to the right of the
previous rectangle, and each contains an hourglass with
the hourglass' n being one greater than the n used
for the previous rectangle.
-- The colors for the hourglass figures use the given sequence of
colors, "wrapping" if m exceeds the length of the sequence.
Preconditions:
:type window: rg.RoseWindow
:type square: rg.Square
:type m: int
:type colors: (list | tuple) of str
where m is positive and colors is a sequence of strings,
each of which denotes a color that rosegraphics understands.
"""
# ------------------------------------------------------------------
# DONE: 3. Implement and test this function.
# We provided some tests for you (above).
# ------------------------------------------------------------------
####################################################################
# IMPORTANT:
# 1. Partial credit if you draw JUST the rectangles.
# 2. No additional credit unless you CALL the hourglass function
# in the PREVIOUS problem appropriately
# to draw the hourglass figures.
####################################################################
# ------------------------------------------------------------------
# DIFFICULTY AND TIME RATINGS (see top of this file for explanation)
# DIFFICULTY: 7 (assuming that you already have
# a correct "hourglass" function above)
# TIME ESTIMATE: 20 minutes (warning: this problem is challenging)
# ------------------------------------------------------------------
center = square.center
centerx = square.center.x
centery = square.center.y
length = square.length_of_each_side
original_length = length
ul = rg.Point(square.center.x - (original_length / 2),
square.center.y - (original_length / 2))
original_ul = ul
lr = rg.Point(square.center.x + (original_length / 2),
square.center.y + (original_length / 2))
original_lr = lr
ulx = ul.x
original_ulx = ulx
uly = ul.y
original_uly = uly
lrx = lr.x
original_lrx = lrx
lry = lr.y
original_lry = lry
index = 0
for k in range(m):
rect = rg.Rectangle(rg.Point(ulx, uly), rg.Point(lrx, lry))
rect.attach_to(window)
hourglass(window, k + 1, rect.get_center(), length / 2, colors[index])
window.render()
index = index + 1
if index == len(colors):
index = 0
ulx = ulx + (k + 1) * length
uly = uly - (length) * (1 / 1.15)
lrx = lrx + ((1 + (k + 1)) * length)
lry = lry + length * (1 / 1.15)
def hourglass(window, n, point, radius, color):
"""
See hourglass_picture.pdf in this project for pictures that may
help you better understand the following specification:
Displays an "hourglass" shape of circles in the given window.
-- Each circle has the given radius and given color.
-- Each circle has a horizontal line drawn through it.
-- The middlemost of the circles is centered at the given point.
-- There is a single circle in that middlemost row.
-- There are n rows (including the middlemost row)
of circles going UP from the middlemost circle.
-- There are n rows (including the middlemost row)
of circles going DOWN from the middlemost circle.
-- Each circle barely touches its neighbor circles.
Preconditions:
:type window: rg.RoseWindow
:type n: int
:type point: rg.Point
:type radius: int
:type color: str
where n and radius are positive and color is a string that denotes
a color that rosegraphics understands.
"""
# ------------------------------------------------------------------
# DONE: 2. Implement and test this function.
# We provided some tests for you (above).
# ------------------------------------------------------------------
####################################################################
# BONUS: Avoid replicated code if you can. Hint: You are allowed
# to define an additional function(s) if you wish.
####################################################################
# ------------------------------------------------------------------
# DIFFICULTY AND TIME RATINGS (see top of this file for explanation)
# DIFFICULTY: 8
# TIME ESTIMATE: 25 minutes (warning: this problem is challenging)
# ------------------------------------------------------------------
original_center_x = point.x
original_center_y = point.y
center_x = original_center_x
center_y = original_center_y
for k in range(n - 1):
for i in range(n - k):
upper_circles = rg.Circle(
rg.Point(center_x - (n - 1) * radius,
center_y - (n - 1) * math.sqrt(3) * radius), radius)
upper_circles.fill_color = color
upper_circles.attach_to(window)
upper_line = rg.Line(
rg.Point(center_x - (n - 1) * radius - radius,
center_y - (n - 1) * math.sqrt(3) * radius),
rg.Point(center_x - (n - 1) * radius + radius,
center_y - (n - 1) * math.sqrt(3) * radius))
upper_line.attach_to(window)
window.render()
center_x = center_x + 2 * radius
center_x = original_center_x + ((k + 1) * radius)
center_y = original_center_y + ((k + 1) * math.sqrt(3) * radius)
center_circle = rg.Circle(rg.Point(original_center_x, original_center_y),
radius)
center_circle.fill_color = color
center_line = rg.Line(
rg.Point(original_center_x - radius, original_center_y),
rg.Point(original_center_x + radius, original_center_y))
center_circle.attach_to(window)
center_line.attach_to(window)
window.render()
new_original_center_x = center_circle.center.x
new_original_center_y = center_circle.center.y
new_center_x = new_original_center_x
new_center_y = new_original_center_y
for j in range(n - 1):
for l in range(j + 2):
lower_circles = rg.Circle(
rg.Point(new_center_x - radius,
new_center_y + math.sqrt(3) * radius), radius)
lower_circles.fill_color = color
lower_line = rg.Line(
rg.Point(new_center_x - radius - radius,
new_center_y + math.sqrt(3) * radius),
rg.Point(new_center_x - radius + radius,
new_center_y + math.sqrt(3) * radius))
lower_circles.attach_to(window)
lower_line.attach_to(window)
window.render()
new_center_x = new_center_x + 2 * radius
new_center_x = new_original_center_x - (j + 1) * radius
new_center_y = new_original_center_y + (j + 1) * math.sqrt(3) * radius
def run_test_even_better_draw_circles():
even_better_draw_circles(5, 15, rg.Point(200, 300), 'blue', 10)
even_better_draw_circles(15, 5, rg.Point(100, 150), 'red', 15)
even_better_draw_circles(3, 30, rg.Point(200, 200), 'orange', 5)
def draw_lines_from_rectangles(rectangle1, rectangle2, n, window):
"""
What comes in: Four arguments:
-- Two rg.Rectangles.
-- A positive integer n.
-- An rg.RoseWindow.
What goes out: Nothing (i.e., None).
Side effects:
See draw_lines_from_rectangles.pdf in this project
for pictures that may help you better understand
the following specification:
First draws the given rg.Rectangles on the given rg.RoseWindow.
Then draws n rg.Lines on the given rg.RoseWindow, such that:
-- The 1st rg.Line goes from the center of one of the
1st rg.Rectangle to the center of the 2nd rg.Rectangle.
-- The 2nd rg.Line goes from the lower-left corner of the
1st rg.Rectangle and is parallel to the 1st rg.Line,
with the same length and direction as the 1st rg.Line.
-- Subsequent rg.Lines are shifted from the previous rg.Line in
the same way that the 2nd rg.Line is shifted from the 1st.
-- Each of the rg.Lines has thickness 5.
-- The colors of the rg.Lines alternate, as follows:
- The 1st, 3rd, 5th, ... rg.Line has color R1_color
- The 2nd, 4th, 6th, ... rg.Line has color R2_color
where
- R1_color is the outline color of the 1st rg.Rectangle
- R2_color is the outline color of the 2nd rg.Rectangle
Must ** render ** but ** NOT close ** the window.
Type hints:
:type rectangle1: rg.Rectangle
:type rectangle2: rg.Rectangle
:type n: int
:type window: rg.RoseWindow
"""
rectangle1.attach_to(window)
rectangle2.attach_to(window)
window.render()
p1 = rectangle1.get_center()
p2 = rectangle2.get_center()
ln = rg.Line(p1, p2)
ln.color = rectangle1.outline_color
ln.thickness = 5
ln.attach_to(window)
window.render()
point_corner = rectangle1.get_lower_left_corner()
x_difference = (point_corner.x - p1.x)
y_difference = (point_corner.y - p1.y)
new_1 = rg.Point(p1.x + x_difference, p1.y + y_difference)
new_2 = rg.Point(p2.x + x_difference, p2.y + y_difference)
for k in range(n - 1):
lnf = rg.Line(new_1, new_2)
if ((k + 1) % 2) == 0:
lnf.color = rectangle1.outline_color
else:
lnf.color = rectangle2.outline_color
lnf.thickness = 5
lnf.attach_to(window)
window.render()
new_1.x += x_difference
new_1.y += y_difference
new_2.x += x_difference
new_2.y += y_difference
def run_test_problem2():
""" Tests the problem2 function. """
print()
print('--------------------------------------------------')
print('Testing the problem2 function:')
print(' See the graphics windows that pop up.')
print('--------------------------------------------------')
# TWO tests on ONE window.
title = 'Tests 1 and 2 of problem2'
window = rg.RoseWindow(400, 250, title)
# Test 1:
line = rg.Line(rg.Point(30, 25),
rg.Point(80, 200))
other_line = rg.Line(rg.Point(130, 60),
rg.Point(90, 100))
line.thickness = 5
line.color = 'forest green'
other_line.color = 'red'
problem2(line, other_line, 5, window)
window.render() # In case students forget to do so.
window.continue_on_mouse_click()
# Test 2:
line = rg.Line(rg.Point(350, 100),
rg.Point(300, 250))
other_line = rg.Line(rg.Point(250, 20),
rg.Point(375, 100))
line.thickness = 1
other_line.thickness = 5
line.color = 'blue'
other_line.color = 'black'
problem2(line, other_line, 3, window)
window.render() # In case students forget to do so.
window.close_on_mouse_click()
# A third test on ANOTHER window.
title = 'Test 3 of problem2'
window = rg.RoseWindow(300, 300, title)
# Test 3:
line = rg.Line(rg.Point(100, 50),
rg.Point(200, 50))
other_line = rg.Line(rg.Point(50, 200),
rg.Point(200, 200))
line.thickness = 8
other_line.thickness = 2
line.color = 'magenta'
other_line.color = 'black'
problem2(line, other_line, 8, window)
window.render() # In case students forget to do so.
window.close_on_mouse_click()
def run_test_problem3a():
""" Tests the problem3a function. """
# ------------------------------------------------------------------
# DONE: 2. Implement this TEST function.
# It TESTS the problem1a function defined below.
# Include at least ** 5 ** tests (we wrote four for you).
# ------------------------------------------------------------------
# ------------------------------------------------------------------
# DIFFICULTY AND TIME RATINGS (see top of this file for explanation)
# DIFFICULTY: 4
# TIME ESTIMATE: 10 to 15 minutes.
# ------------------------------------------------------------------
# Window 1:
title = 'Problem 3a. Test 1: Start at (30, 30), 6 lines'
window1 = rg.RoseWindow(350, 200, title)
# Test 1 (it is on window 1):
point = rg.Point(30, 30)
expected = 36
answer = problem3a(window1, point, 6)
print()
print('Test 1 expected:', expected)
print(' actual: ', answer)
window1.close_on_mouse_click()
# Window 2:
title = 'Problem 3a. Test 2: Start at (80, 10), 9 lines.'
title += ' Test 3: Start at (30, 50), 3 lines.'
window2 = rg.RoseWindow(550, 200, title)
# Test 2 (it is on window 2):
point = rg.Point(80, 10)
expected = 75
answer = problem3a(window2, point, 9)
print()
print('Test 2 expected:', expected)
print(' actual: ', answer)
# Test 3 (it is also on window 2):
point = rg.Point(30, 50)
expected = 9
answer = problem3a(window2, point, 3)
print()
print('Test 3 expected:', expected)
print(' actual: ', answer)
window2.close_on_mouse_click()
# Window 3:
title = 'Problem 3a. Test 4: Start at (30, 30), 20 lines'
window3 = rg.RoseWindow(450, 300, title)
# Test 4 (it is on window 3):
point = rg.Point(30, 30)
expected = 218
answer = problem3a(window3, point, 20)
print()
print('Test 4 expected:', expected)
print(' actual: ', answer)
# Test 4 (it is on window 3):
point = rg.Point(30, 30)
expected = 218
answer = problem3a(window3, point, 20)
print()
print('Test 4 expected:', expected)
print(' actual: ', answer)
window3.close_on_mouse_click()
def problem3b(m, point1):
"""
See problem3b_picture.pdf in this project for pictures
that may help you better understand the following specification:
What comes in:
-- A positive integer m.
-- An rg.Point.
What goes out:
-- Returns the sum of the thicknesses of ALL of the lines drawn
(over all m sets of lines).
Side effects:
-- Constructs and displays an rg.RoseWindow
that is 400 wide by 650 tall.
-- Draws, on the rg.RoseWindow, m SETS of lines, where:
-- Each SET of lines is drawn
*** by a call to ** problem3a **. ***
-- The first set has 3 lines that start at point1
(the given point).
-- The second set has 5 lines that start 60 pixels
directly below point1.
-- The third set has 7 lines that start 120 pixels
directly below point1.
-- The fourth set has 9 lines that start 180 pixels
directly below point1.
-- etc until m SETS of lines are drawn (where m is given).
-- Each set of lines should have widths (thicknesses)
per problem3a.
-- Waits for the user to click the mouse (and displays an
appropriate message prompting the user to do so),
then closes the window.
Type hints:
:type m: int
:type point1: rg.Point
"""
# -------------------------------------------------------------------------
# DONE: 4. Implement and test this function.
# Tests have been written for you (above).
#
###########################################################################
# IMPORTANT:
# ** For full credit you must appropriately use (call)
# ** the problem3a function that you implemented above.
###########################################################################
# -------------------------------------------------------------------------
# DIFFICULTY AND TIME RATINGS (see top of this file for explanation)
# DIFFICULTY: 8 or 9
# TIME ESTIMATE: 20 to 30 minutes.
# -------------------------------------------------------------------------
window=rg.RoseWindow(400,650)
sum=0
for k in range(m):
num=3+(2*k)
Point=rg.Point(point1.x, point1.y+(60*k))
sum=sum+ problem3a(window,Point,num)
window.render()
window.close_on_mouse_click()
return sum
def draw_circles_from_rectangle(m, n, rectangle, window):
"""
What comes in: Four arguments:
-- Positive integers m and n.
-- An rg.Rectangle.
-- An rg.RoseWindow.
What goes out: Nothing (i.e., None).
Side effects:
See draw_circles_from_rectangle.pdf in this project for pictures
that may help you better understand the following specification:
First draws the given rg.Rectangle on the given rg.RoseWindow.
Then draws m rg.Circles on the given rg.RoseWindow, such that:
-- The diameter of each rg.Circle is the same as the height
of the given rg.Rectangle.
-- The first rg.Circle is immediately to the left of the
given rg.Rectangle
-- Each subsequent rg.Circle is immediately to the left
of the previous rg.Circle, so that the circles form a row
that goes to the left.
-- Each rg. Circle has the same fill_color as the given
rg.Rectangle (and has no outline_color).
Then draws n rg.Circles on the given RoseWindow, such that:
-- The diameter of each rg.Circle is the same as the width
of the given rg.Rectangle.
-- The first rg.Circle is immediately above the
given rg.Rectangle
-- Each subsequent rg.Circle is immediately above the previous
rg.Circle, so that the circles form a column that goes up.
-- Each rg.Circle has the same outline_color as the given
rg.Rectangle (and has no fill_color).
Must ** render ** but ** NOT close ** the window.
Type hints:
:type m: int
:type n: int
:type rectangle: rg.Rectangle
:type window: rg.RoseWindow
"""
# ------------------------------------------------------------------
# DONE: 4. Implement and test this function.
# Tests have been written for you (above).
#
# CONSIDER using the ACCUMULATOR IN GRAPHICS pattern,
# as in draw_row_of_circles in m1e,
# instead of directly using the loop variable.
#
####################################################################
# HINT: To figure out the code that computes the necessary
# positions of each circle,
# ** FIRST DO A CONCRETE EXAMPLE BY HAND! **
####################################################################
# ------------------------------------------------------------------
corner_1_x = rectangle.corner_1.x
corner_1_y = rectangle.corner_1.y
corner_2_x = rectangle.corner_2.x
corner_2_y = rectangle.corner_2.y
r_x = abs(corner_2_x - corner_1_x)/2
r_y = abs(corner_2_y - corner_1_y)/2
if corner_1_x < corner_2_x:
corner_x = corner_1_x
else:
corner_x = corner_2_x
if corner_1_y > corner_2_y:
corner_y = corner_2_y
else:
corner_y = corner_1_y
center_x = rg.Point(corner_x - r_y, corner_y + r_y)
center_y = rg.Point(corner_x + r_x, corner_y - r_x)
rectangle.attach_to(window)
for k in range(m):
circle1 = rg.Circle(center_x, r_y)
circle1.fill_color = rectangle.fill_color
circle1.attach_to(window)
center_x = rg.Point(center_x.x - 2 * r_y, center_x.y)
for k in range(n):
circle2 = rg.Circle(center_y, r_y)
circle2.outline_color = rectangle.outline_color
circle2.attach_to(window)
center_y = rg.Point(center_y.x, center_y.y - 2 * r_x)
window.render()
def run_test_swap_colors():
""" Tests the swap_colors function. """
print()
print('--------------------------------------------------')
print('Testing the swap_colors function:')
print('--------------------------------------------------')
# ------------------------------------------------------------------
# Test 1: Note that it tests both:
# -- what was SUPPOSED to be mutated (fill_color) and
# -- what was NOT supposed to be mutated (all else).
# The code passes this test if the expected value printed
# is the same as the actual value printed.
# ------------------------------------------------------------------
circle = rg.Circle(rg.Point(100, 150), 50)
circle.fill_color = 'blue'
rectangle = rg.Rectangle(rg.Point(200, 30), rg.Point(350, 150))
rectangle.fill_color = 'green'
expected_c = 'Circle: center=(100, 150), radius=50,'
expected_c += ' fill_color=green, outline_color=black,'
expected_c += ' outline_thickness=1.'
expected_r = 'Rectangle: corner_1=(200, 30), corner_2=(350, 150),'
expected_r += ' fill_color=blue, outline_color=black,'
expected_r += ' outline_thickness=1.'
swap_colors(circle, rectangle)
print()
print('Expected circle after the function call:')
print(expected_c)
print('Actual circle after the function call:')
print(circle)
print()
print('Expected rectangle after the function call:')
print(expected_r)
print('Actual rectangle after the function call:')
print(rectangle)
# ------------------------------------------------------------------
# Test 2: This is a VISUAL test.
# The code passes this test if the objects are drawn per the test.
#
# Here, that means that when the window pauses and asks the user
# to press any key to continue:
# -- the circle is black_filled and
# -- the rectangle is red_filled
# and then when the user presses a key and the window pauses
# again, now the reverse is true:
# -- the circle is red_filled and
# -- the rectangle is black_filled.
# ------------------------------------------------------------------
title = 'The code passes the test if the fill colors of the circle'
title += ' and rectangle get SWAPPED.'
window = rg.RoseWindow(700, 400, title)
circle = rg.Circle(rg.Point(100, 50), 40)
circle.fill_color = 'black'
circle.attach_to(window)
rectangle = rg.Rectangle(rg.Point(200, 280), rg.Point(350, 350))
rectangle.fill_color = 'red'
rectangle.attach_to(window)
msg1 = 'At this point, the circle should be filled with BLACK\n'
msg1 += 'and the rectangle should be filled with RED'
message = rg.Text(rg.Point(400, 100), msg1)
message.attach_to(window)
# At this point, the CIRCLE should be filled with BLACK
# and the RECTANGLE filled with RED.
window.render()
window.continue_on_mouse_click()
swap_colors(circle, rectangle)
# At this point, the CIRCLE should be filled with RED
# and the RECTANGLE filled with BLACK.
msg2 = 'Now, the circle should be filled with RED\n'
msg2 += 'and the rectangle should be filled with BLACK.\n'
msg2 += 'If so, and if nothing else changed,\n'
msg2 += 'the code passed this test.'
message.text = msg2
window.render()
window.close_on_mouse_click()
def draw_lines_from_rectangles(rectangle1, rectangle2, n, window):
"""
What comes in: Four arguments:
-- Two rg.Rectangles.
-- A positive integer n.
-- An rg.RoseWindow.
What goes out: Nothing (i.e., None).
Side effects:
See draw_lines_from_rectangles.pdf in this project
for pictures that may help you better understand
the following specification:
First draws the given rg.Rectangles on the given rg.RoseWindow.
Then draws n rg.Lines on the given rg.RoseWindow, such that:
-- The 1st rg.Line goes from the center of one of the
1st rg.Rectangle to the center of the 2nd rg.Rectangle.
-- The 2nd rg.Line goes from the lower-left corner of the
1st rg.Rectangle and is parallel to the 1st rg.Line,
with the same length and direction as the 1st rg.Line.
-- Subsequent rg.Lines are shifted from the previous rg.Line in
the same way that the 2nd rg.Line is shifted from the 1st.
-- Each of the rg.Lines has thickness 5.
-- The colors of the rg.Lines alternate, as follows:
- The 1st, 3rd, 5th, ... rg.Line has color R1_color
- The 2nd, 4th, 6th, ... rg.Line has color R2_color
where
- R1_color is the outline color of the 1st rg.Rectangle
- R2_color is the outline color of the 2nd rg.Rectangle
Must ** render ** but ** NOT close ** the window.
Type hints:
:type rectangle1: rg.Rectangle
:type rectangle2: rg.Rectangle
:type n: int
:type window: rg.RoseWindow
"""
# ------------------------------------------------------------------
# DONE: 5. Implement and test this function.
# Tests have been written for you (above).
#
# CONSIDER using the ACCUMULATOR IN GRAPHICS pattern,
# as in draw_row_of_circles in m1e,
# instead of directly using the loop variable.
#
####################################################################
# HINT: To figure out the code that computes the necessary
# endpoints for each line,
# ** FIRST DO A CONCRETE EXAMPLE BY HAND! **
####################################################################
# ------------------------------------------------------------------
rectangle1.attach_to(window)
corner_1_x = rectangle1.corner_1.x
corner_2_x = rectangle1.corner_2.x
corner_1_y = rectangle1.corner_1.y
corner_2_y = rectangle1.corner_2.y
center1_x = abs(corner_1_x - corner_2_x) / 2
center1_y = abs(corner_1_y - corner_2_y) / 2
if corner_1_x < corner_2_x:
val_x = corner_1_x
else:
val_x = corner_2_x
if corner_1_y > corner_2_y:
val_y = corner_2_y
else:
val_y = corner_1_y
center_1 = rg.Point(val_x + center1_x, val_y + center1_y)
rectangle2.attach_to(window)
corner2_1_x = rectangle2.corner_1.x
corner2_2_x = rectangle2.corner_2.x
corner2_1_y = rectangle2.corner_1.y
corner2_2_y = rectangle2.corner_2.y
center2_x = abs(corner2_1_x - corner2_2_x) / 2
center2_y = abs(corner2_1_y - corner2_2_y) / 2
if corner2_1_x < corner2_2_x:
val2_x = corner2_1_x
else:
val2_x = corner2_2_x
if corner2_1_y > corner2_2_y:
val2_y = corner2_2_y
else:
val2_y = corner2_1_y
center_2 = rg.Point(val2_x + center2_x, val2_y + center2_y)
for k in range(n):
line = rg.Line(center_1, center_2)
if k % 2 == 0:
line.color = rectangle1.outline_color
else:
line.color = rectangle2.outline_color
line.thickness = 5
line.attach_to(window)
center_1 = rg.Point(center_1.x - center1_x, center_1.y + center1_y)
center_2 = rg.Point(center_2.x - center2_x, center_2.y + center2_y)
window.render()
def many_hourglasses(window, square, m, colors):
"""
See many_hourglasses_picture.pdf in this project for pictures that may
help you better understand the following specification:
Displays m rectangles, where:
-- Each rectangle has an hourglass of circles inside it,
per the hourglass function above.
-- The circles in the hourglasses are all the same size.
-- The leftmost rectangle is the given square, and it contains
an hourglass with a single circle that fills the square.
-- Each successive rectangle is immediately to the right of the
previous rectangle, and each contains an hourglass with
the hourglass' n being one greater than the n used
for the previous rectangle.
-- The colors for the hourglass figures use the given sequence of
colors, "wrapping" if m exceeds the length of the sequence.
Preconditions:
:type window: rg.RoseWindow
:type square: rg.Square
:type m: int
:type colors: (list | tuple) of str
where m is positive and colors is a sequence of strings,
each of which denotes a color that rosegraphics understands.
"""
# ------------------------------------------------------------------
# Done: 3. Implement and test this function.
# We provided some tests for you (above).
# ------------------------------------------------------------------
####################################################################
# IMPORTANT:
# 1. Partial credit if you draw JUST the rectangles.
# 2. No additional credit unless you CALL the hourglass function
# in the PREVIOUS problem appropriately
# to draw the hourglass figures.
####################################################################
# ------------------------------------------------------------------
# DIFFICULTY AND TIME RATINGS (see top of this file for explanation)
# DIFFICULTY: 7 (assuming that you already have
# a correct "hourglass" function above)
# TIME ESTIMATE: 20 minutes (warning: this problem is challenging)
# ------------------------------------------------------------------
radius = square.length_of_each_side / 2
point = square.center
topleftx = point.x - radius
toplefty = point.y - radius
bottomrightx = point.x + radius
bottomrighty = point.y + radius
topleft = rg.Point(topleftx, toplefty)
bottomright = rg.Point(bottomrightx, bottomrighty)
yshift = (2 * radius**2 + radius**2)**0.5
quad = rg.Rectangle(bottomright, topleft)
for k in range(m):
quad.attach_to(window)
hourglass(window, k + 1, point, radius, colors[k % 3])
topleftx = bottomrightx
toplefty += -yshift
bottomrightx += (k + 2) * (2 * radius)
bottomrighty += yshift
topleft = rg.Point(topleftx, toplefty)
bottomright = rg.Point(bottomrightx, bottomrighty)
quad = rg.Rectangle(topleft, bottomright)
point.x = (topleftx + bottomrightx) / 2
point.y = (toplefty + bottomrighty) / 2
window.render()
def draw_circles_from_rectangle(m, n, rectangle, window):
"""
What comes in: Four arguments:
-- Positive integers m and n.
-- An rg.Rectangle.
-- An rg.RoseWindow.
What goes out: Nothing (i.e., None).
Side effects:
See draw_circles_from_rectangle.pdf in this project for pictures
that may help you better understand the following specification:
First draws the given rg.Rectangle on the given rg.RoseWindow.
Then draws m rg.Circles on the given rg.RoseWindow, such that:
-- The diameter of each rg.Circle is the same as the height
of the given rg.Rectangle.
-- The first rg.Circle is immediately to the left of the
given rg.Rectangle
-- Each subsequent rg.Circle is immediately to the left
of the previous rg.Circle, so that the circles form a row
that goes to the left.
-- Each rg. Circle has the same fill_color as the given
rg.Rectangle (and has no outline_color).
Then draws n rg.Circles on the given RoseWindow, such that:
-- The diameter of each rg.Circle is the same as the width
of the given rg.Rectangle.
-- The first rg.Circle is immediately above the
given rg.Rectangle
-- Each subsequent rg.Circle is immediately above the previous
rg.Circle, so that the circles form a column that goes up.
-- Each rg.Circle has the same outline_color as the given
rg.Rectangle (and has no fill_color).
Must ** render ** but ** NOT close ** the window.
Type hints:
:type m: int
:type n: int
:type rectangle: rg.Rectangle
:type window: rg.RoseWindow
"""
# ------------------------------------------------------------------
# DONE: 4. Implement and test this function.
# Tests have been written for you (above).
#
# CONSIDER using the ACCUMULATOR IN GRAPHICS pattern,
# as in draw_row_of_circles in m1e,
# instead of directly using the loop variable.
#
####################################################################
# HINT: To figure out the code that computes the necessary
# positions of each circle,
# ** FIRST DO A CONCRETE EXAMPLE BY HAND! **
####################################################################
# ------------------------------------------------------------------
rectangle.attach_to(window)
height = rectangle.get_height()
center = rectangle.get_center()
width = rectangle.get_width()
radius = height/2
start = rectangle.get_upper_left_corner()
for _ in range(m):
circle = rg.Circle(rg.Point(start.x -radius, center.y), radius)
circle.fill_color = rectangle.fill_color
circle.attach_to(window)
start.x = start.x - 2*radius
window.render()
for _ in range(n):
circle = rg.Circle(rg.Point(center.x,start.y-width/2), width/2)
circle.outline_color= rectangle.outline_color
circle.attach_to(window)
start.y = start.y - width
window.render()
def hourglass(window, n, point, radius, color):
"""
See hourglass_picture.pdf in this project for pictures that may
help you better understand the following specification:
Displays an "hourglass" shape of circles in the given window.
-- Each circle has the given radius and given color.
-- Each circle has a horizontal line drawn through it.
-- The middlemost of the circles is centered at the given point.
-- There is a single circle in that middlemost row.
-- There are n rows (including the middlemost row)
of circles going UP from the middlemost circle.
-- There are n rows (including the middlemost row)
of circles going DOWN from the middlemost circle.
-- Each circle barely touches its neighbor circles.
Preconditions:
:type window: rg.RoseWindow
:type n: int
:type point: rg.Point
:type radius: int
:type color: str
where n and radius are positive and color is a string that denotes
a color that rosegraphics understands.
"""
# ------------------------------------------------------------------
# Done: 2. Implement and test this function.
# We provided some tests for you (above).
# ------------------------------------------------------------------
####################################################################
# BONUS: Avoid replicated code if you can. Hint: You are allowed
# to define an additional function(s) if you wish.
####################################################################
# ------------------------------------------------------------------
# DIFFICULTY AND TIME RATINGS (see top of this file for explanation)
# DIFFICULTY: 8
# TIME ESTIMATE: 25 minutes (warning: this problem is challenging)
# ------------------------------------------------------------------
original = rg.Point(point.x, point.y)
for k in range(1, n + 1):
for j in range(k):
circle = rg.Circle(point, radius)
circle.fill_color = color
circle.attach_to(window)
rightside = point.x + radius
leftside = point.x - radius
start = rg.Point(rightside, point.y)
finish = rg.Point(leftside, point.y)
line = rg.Line(start, finish)
line.attach_to(window)
point.x += -(2 * radius)
point.x += (3 + 2 * j) * radius
point.y += (2 * radius**2 + radius**2)**0.5
point = original
for k in range(1, n + 1):
for j in range(k):
circle = rg.Circle(point, radius)
circle.fill_color = color
circle.attach_to(window)
rightside = point.x + radius
leftside = point.x - radius
start = rg.Point(rightside, point.y)
finish = rg.Point(leftside, point.y)
line = rg.Line(start, finish)
line.attach_to(window)
point.x += -(2 * radius)
point.x += (3 + 2 * j) * radius
point.y += -(2 * radius**2 + radius**2)**0.5
window.render()
def test_draw_lines_from_rectangles():
""" Tests the draw_lines_from_rectangles function. """
print()
print('--------------------------------------------------')
print('Testing the draw_lines_from_rectangles function:')
print(' See the graphics windows that pop up.')
print('--------------------------------------------------')
# TWO tests on ONE window.
title = 'Tests 1 & 2 of DRAW_LINES_FROM_RECTANGLES:'
title += ' 5 lines, 8 lines!'
window1 = rg.RoseWindow(900, 400, title)
rectangle1 = rg.Rectangle(rg.Point(100, 25), rg.Point(150, 125))
rectangle2 = rg.Rectangle(rg.Point(300, 150), rg.Point(400, 175))
rectangle1.outline_color = 'red'
rectangle2.outline_color = 'blue'
draw_lines_from_rectangles(rectangle1, rectangle2, 5, window1)
rectangle1 = rg.Rectangle(rg.Point(870, 30), rg.Point(750, 100))
rectangle2 = rg.Rectangle(rg.Point(700, 90), rg.Point(650, 60))
rectangle2.outline_color = 'green'
draw_lines_from_rectangles(rectangle1, rectangle2, 8, window1)
window1.close_on_mouse_click()
# A third test on ANOTHER window.
title = 'Test 3 of DRAW_LINES_FROM_RECTANGLES: 11 lines!'
window2 = rg.RoseWindow(700, 700, title)
rectangle1 = rg.Rectangle(rg.Point(550, 200), rg.Point(650, 100))
rectangle2 = rg.Rectangle(rg.Point(600, 50), rg.Point(650, 75))
rectangle1.outline_color = 'brown'
rectangle2.outline_color = 'cyan'
rectangle2.outline_thickness = 10
draw_lines_from_rectangles(rectangle1, rectangle2, 11, window2)
window2.close_on_mouse_click()
def problem3a(window, point, n):
"""
See problem3a_picture.pdf in this project for pictures
that may help you better understand the following specification:
What comes in:
-- An rg.RoseWindow.
-- An rg.Point.
-- A nonnegative integer n.
What goes out:
-- Returns the sum of the thicknesses of the rg.Lines
that are drawn as described in the Side effects (below).
Side effects:
Draws n rg.Lines on the given rg.RoseWindow,
as follows:
-- There are the given number (n) of rg.Lines.
-- Each rg.Line is vertical and has length 50.
(All units are pixels.)
-- The top of the first (leftmost) rg.Line
is at the given rg.Point.
-- Each successive rg.Line is 20 pixels to the right
and 10 pixels down from the previous rg.Line.
-- The first rg.Line has thickness 1.
-- Each successive rg.Line has thickness 2 greater than
the rg.Line to its left, but no greater than 13.
(So once a rg.Line has thickness 13,
it and all the rg.Lines to its right have thickness 13.)
Type hints:
:type window: rg.RoseWindow
:type point: rg.Point
:type n: int
"""
# ------------------------------------------------------------------
# DONE: 3. Implement and test this function.
# Note that you should write its TEST function first (above).
# ------------------------------------------------------------------
# ------------------------------------------------------------------
# DIFFICULTY AND TIME RATINGS (see top of this file for explanation)
# DIFFICULTY: 7 or 8
# TIME ESTIMATE: 20 to 35 minutes.
# ------------------------------------------------------------------
oend = rg.Point(point.x, point.y + 50)
original = rg.Line(point, oend)
original.attach_to(window)
thickness = 1
sum = 1
for _ in range(n - 1):
point.x = point.x + 20
point.y = point.y + 10
newpoint = rg.Point(point.x, point.y)
oend.x = oend.x + 20
oend.y = oend.y + 10
newend = rg.Point(oend.x, oend.y)
new = rg.Line(newpoint, newend)
new.attach_to(window)
if thickness < 13:
thickness = thickness + 2
new.thickness = thickness
sum = sum + new.thickness
window.render()
return sum
def main():
# ------------------------------------------------------------------
# 1. Constructs an rg.Point, assigning its instance variables values.
# Then assigns an instance variable in the object a new value,
# thus MUTATING the OBJECT, because
# one of its INSTANCE VARIABLES was ASSIGNED a new value.
# ------------------------------------------------------------------
print('Showing mutation via assignment:')
point = rg.Point(45, 100)
print('Before:', point)
point.y = 33
# The next line shows that the INSIDES of point has changed.
print('After: ', point) # Look at what gets printed!
# ------------------------------------------------------------------
# 2. Mutates the object again, this time from within a function call
# ------------------------------------------------------------------
print()
print('Showing mutation via a function call')
print('(which does assignment):')
print('Before:', point)
mutate_point(point)
# The next line shows that the INSIDES of point has changed.
print('After: ', point) # Look at what gets printed!
# ------------------------------------------------------------------
# 3. Assigns another variable to refer to the same rg.Point
# to which the point variable refers.
# That creates two NAMES (variables)
# that refer to the same OBJECT.
# When one mutates, so does the other.
# ------------------------------------------------------------------
print()
print('Showing two NAMES that refer to the same OBJECT:')
point2 = point
print('Before:', point, point2)
point2.x = 100
print('After: ', point, point2) # Note that point.x ALSO changed
# ------------------------------------------------------------------
# 4. Re-assigns the point variable to refer to another rg.Point.
# This is ASSIGNMENT and NOT mutation.
# ------------------------------------------------------------------
print()
print('RE-ASSIGNING an object is NOT MUTATING the OBJECT:')
print('Before:', point, point2)
point = rg.Point(10, 6)
print(point, point2) # Prints the two DIFFERENT rg.Points
# ------------------------------------------------------------------
# 5. Shows the difference betwee the is operator
# (two things refer to the same place in memory)
# and the == operator (two things contain the same data).
# ------------------------------------------------------------------
print()
print('Shows the difference between two operators')
print(' -- a IS b (do a and b refer to the same place in memory?')
print(' -- a == b (do a and b have the same data?)')
print('Predict what will get printed by the following, if you can.')
print()
print('First, two Points are constructed. See IS vs == in action:')
point3 = rg.Point(100, 20)
point4 = rg.Point(100, 20)
print()
print('Before: point3 and point4 are:', point3, point4)
print('T or F: point3 is point4?', point3 is point4)
print('T or F: point3 == point4?', point3 == point4)
point3.fill_color = 'blue'
print()
print('After: point3 and point4 are:', point3, point4)
print('Fillcolors are:', point3.fill_color, point4.fill_color)
print('T or F: point3 is point4?', point3 is point4)
print('T or F: point3 == point4?', point3 == point4)
print()
print('Second, another Point (point5) is assigned')
print('to one of the existing ones (point3).')
print()
print('Here is the IS operator:')
point5 = point3
print('points3, 4 and 5 are:', point3, point4, point5)
print('Fillcolors are:', point3.fill_color, point4.fill_color,
point5.fill_color)
print('T or F: point3 is point5?', point3 is point5)
print('T or F: point3 is point4?', point3 is point4)
print('T or F: point4 is point5?', point4 is point5)
print()
print('Now the == operator:')
print('T or F: point3 == point5?', point3 == point5)
print('T or F: point3 == point4?', point3 == point4)
print('T or F: point4 == point5?', point4 == point5)
print()
print('Finally, a tricky one that your instruction will explain:')
x = 'hello'
y = 'hello'
print()
print('T or F: "hello" is "hello"?', x is y)
print('T or F: "hello" == "hello"?', x == y)
x = 1 * x
y = 1 * y
print()
print('T or F: (1 * "hello") is (1 * "hello"?', x is y)
print('T or F: (1 * "hello") == (1 * "hello"?', x == y)
x = 2 * x
y = 2 * y
print()
print('T or F: (2 * "hello") is (2 * "hello"?', x is y)
print('T or F: (2 * "hello") == (2 * "hello"?', x == y)
def run_test_problem3a():
""" Tests the problem3a function. """
# ------------------------------------------------------------------
# DONE: 2. Implement this TEST function.
# It TESTS the problem1a function defined below.
# Include at least ** 5 ** tests (we wrote four for you).
# ------------------------------------------------------------------
# ------------------------------------------------------------------
# DIFFICULTY AND TIME RATINGS (see top of this file for explanation)
# DIFFICULTY: 4
# TIME ESTIMATE: 10 to 15 minutes.
# ------------------------------------------------------------------
# Window 1:
title = 'Problem 3a. Test 1: Start at (30, 30), 6 lines'
window1 = rg.RoseWindow(350, 200, title)
# Test 1 (it is on window 1):
point = rg.Point(30, 30)
expected = 36
answer = problem3a(window1, point, 6)
print()
print('Test 1 expected:', expected)
print(' actual: ', answer)
window1.close_on_mouse_click()
# Window 2:
title = 'Problem 3a. Test 2: Start at (80, 10), 9 lines.'
title += ' Test 3: Start at (30, 50), 3 lines.'
window2 = rg.RoseWindow(550, 200, title)
# Test 2 (it is on window 2):
point = rg.Point(80, 10)
expected = 75
answer = problem3a(window2, point, 9)
print()
print('Test 2 expected:', expected)
print(' actual: ', answer)
# Test 3 (it is also on window 2):
point = rg.Point(30, 50)
expected = 9
answer = problem3a(window2, point, 3)
print()
print('Test 3 expected:', expected)
print(' actual: ', answer)
window2.close_on_mouse_click()
# Window 3:
title = 'Problem 3a. Test 4: Start at (30, 30), 20 lines'
window3 = rg.RoseWindow(450, 300, title)
# Test 4 (it is on window 3):
point = rg.Point(30, 30)
expected = 218
answer = problem3a(window3, point, 20)
print()
print('Test 4 expected:', expected)
print(' actual: ', answer)
window3.close_on_mouse_click()
# ------------------------------------------------------------------
# TO DO: 2 (continued).
# Below this comment (or integrated with one of the above tests,
# your choice), add 1 more test case of your own choosing.
# ------------------------------------------------------------------
title = 'Test 5'
window4 = rg.RoseWindow(450, 400, title)
# Test 5
point = rg.Point(20, 20)
expected = 16
actual = problem3a(window4, point, 4)
print('Test 5 expected:', expected)
print('Test 5 actual:', actual)
window4.close_on_mouse_click()
def run_test_rectangles_from_circles():
""" Tests the rectangles_from_circles function. """
print()
print('-----------------------------------------------------------')
print('Testing the rectangles_from_circles function:')
print('-----------------------------------------------------------')
print('See the graphics window that pops up.')
print('It should show circles, then the circles circumscribed,')
print('then more circles, then the new circles circumscribed too.')
print()
print('See rectangles_from_circles.pdf in this project')
print('for pictures of the anticipated results.')
# -------------------------------------------------------------------------
# Test 1 is ALREADY DONE (here).
# -------------------------------------------------------------------------
window = rg.RoseWindow(650, 350,
'rectangles_from_circles, two tests')
circles = [rg.Circle(rg.Point(50, 80), 40),
rg.Circle(rg.Point(150, 50), 30),
rg.Circle(rg.Point(300, 100), 50),
rg.Circle(rg.Point(220, 70), 60)]
circles[0].fill_color = 'red'
circles[1].fill_color = 'white'
circles[2].fill_color = 'blue'
circles[3].fill_color = 'green'
# -------------------------------------------------------------------------
# This test calls the draw_shapes function that YOU write,
# above. So if your draw_shapes breaks, so will this test.
# -------------------------------------------------------------------------
draw_shapes(circles, window)
message = 'The circles to be circumscribed are shown above.'
message = message + ' Click to continue.'
window.continue_on_mouse_click(message)
rectangles = rectangles_from_circles(circles)
if rectangles is None:
print()
print('Either you have not yet gotten')
print(' to the rectangles_from_circles problem (OK, no problem)')
print(' or you have forgotten to return a result from that function.')
window.close_on_mouse_click()
return
draw_shapes(rectangles, window)
message = 'Now you should see the circumscribing rectangles too.'
message = message + ' Click to continue.'
window.continue_on_mouse_click(message)
# -------------------------------------------------------------------------
# Test 2 is ALREADY DONE (here).
# It runs in the same window as Test 1.
# -------------------------------------------------------------------------
circles = []
center = rg.Point(50, 150)
radius = 35
for _ in range(10):
circle = rg.Circle(center, radius)
circle.fill_color = 'magenta'
circles = circles + [circle]
center.x = center.x + 2 * radius
center.y = center.y + 15
radius = radius - 3
draw_shapes(circles, window)
message = 'More circles to be circumscribed are shown above.'
message = message + ' Click to continue.'
window.continue_on_mouse_click(message)
rectangles = rectangles_from_circles(circles)
draw_shapes(rectangles, window)
message = 'Now you should see the circumscribing rectangles too.'
message = message + ' Click to exit.'
window.continue_on_mouse_click(message, close_it=True)
def run_test_generate_points_on_circle():
""" Tests the generate_points_on_circle function. """
# -------------------------------------------------------------------------
# DONE: 2. Implement this TEST function.
# It TESTS the generate_points_on_circle function defined below.
# Include at least ** 1 ** ADDITIONAL test (that YOU write).
#
# As usual, include both EXPECTED and ACTUAL results in your test
# and compute the latter BY HAND (not by running your program).
#
# Your professor may do this exercise with you as "live coding".
# -------------------------------------------------------------------------
print()
print('--------------------------------------------------')
print('Testing the generate_points_on_circle function:')
print('--------------------------------------------------')
# Test 1:
expected = [
rg.Point(125.0, 50.0), # All numbers are approximate.
rg.Point(112.5, 71.7),
rg.Point(87.5, 71.7),
rg.Point(75.0, 50.0),
rg.Point(87.5, 28.3),
rg.Point(112.5, 28.3)
]
circle = rg.Circle(rg.Point(100, 50), 25)
answer = generate_points_on_circle(circle, 6)
print('Expected:', expected)
print('Actual: ', answer)
# -------------------------------------------------------------------------
# Test 2: (YOU write THIS test)
# -------------------------------------------------------------------------
# Test 2:
expected = [
rg.Point(150.0, 200.0), # All numbers are approximate.
rg.Point(100, 250),
rg.Point(50, 200),
rg.Point(100, 150)
]
circle = rg.Circle(rg.Point(100, 200), 50)
answer = generate_points_on_circle(circle, 4)
print('Expected:', expected)
print('Actual: ', answer)
def run_test_MUTATE_circle():
""" Tests the MUTATE_circle function. """
print()
print('-----------------------------------------')
print('Testing MUTATE_circle:')
print('-----------------------------------------')
print()
print('See the graphics window for this test.')
print('If an error msg appears at any point,')
print('you have failed this test.')
# Tests 1 and 2 (on one window):
window = rg.RoseWindow(500, 450, 'Testing MUTATE_circle')
text = rg.Text(rg.Point(250, 125), '')
text.attach_to(window.initial_canvas)
circle = rg.Circle(rg.Point(250, 300), 50)
circle.fill_color = 'yellow'
circle.attach_to(window.initial_canvas)
msg = 'Note: If you see an error message at ANY point,\n'
msg = msg + 'then you have failed this test.\n\n'
msg = msg + 'I have drawn the original, yellow circle.\n\n'
msg = msg + 'So you should see a YELLOW circle below\n'
msg = msg + '(and nothing else).\n\n'
msg = msg + 'Click the mouse to continue this test.\n'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
result = MUTATE_circle(circle, 'pink', 200)
msg = 'I have called your MUTATE_circle function.\n'
msg = msg + 'It should have MUTATED the (sole) circle to be pink\n'
msg = msg + 'and 200 units to the right of where it was.\n\n'
msg = msg + 'So you should see (only) a PINK circle below,\n'
msg = msg + 'almost touching the right side of the window.\n\n'
msg = msg + 'Click the mouse to continue this test.'
if result is not None:
msg = msg + '\n\nERROR: You returned a value! Wrong!!!'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
circle.detach_from(window.initial_canvas)
msg = 'I have now UN-drawn the (sole) circle.\n\n'
msg = msg + 'So you should see NO circles below.\n\n'
msg = msg + 'Click the mouse to continue this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
circle.attach_to(window.initial_canvas)
msg = 'Now I have RE-drawn the (now pink) circle.\n\n'
msg = msg + 'So you should see (only) a PINK circle below,\n'
msg = msg + 'just touching the right side of the window.\n'
msg = msg + 'Click the mouse to continue this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
result = MUTATE_circle(circle, 'black', -400)
msg = 'I have called your MUTATE_circle function again.\n'
msg = msg + 'It should have MUTATED the (sole) circle to be black\n'
msg = msg + 'and 400 units to the left of where it was.\n\n'
msg = msg + 'So you should see (only) a BLACK circle below,\n'
msg = msg + 'just touching the left side of the window.\n\n'
msg = msg + 'Click the mouse to continue this test.'
if result is not None:
msg = msg + '\n\nERROR: You returned a value! Wrong!!!'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
another_circle = rg.Circle(circle.center, 25)
another_circle.fill_color = 'red'
another_circle.attach_to(window.initial_canvas)
msg = 'I have constructed and drawn another circle.\n'
msg = msg + 'It is red and smaller than the black circle,\n'
msg = msg + 'and currently centered on the black circle.\n\n'
msg = msg + 'So you should now see a BLACK circle below,\n'
msg = msg + 'just touching the left side of the window,\n'
msg = msg + 'with a smaller red circle on top of the black circle.\n\n'
msg = msg + 'Click the mouse to continue this test.'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
result = MUTATE_circle(another_circle, 'white', 65)
msg = 'I have called your MUTATE_circle function again.\n'
msg = msg + 'It should have MUTATED the small, red circle to be white\n'
msg = msg + 'and 65 units to the left of where it was.\n\n'
msg = msg + 'So you should see a BLACK circle below,\n'
msg = msg + 'just touching the left side of the window,\n'
msg = msg + 'with a WHITE circle slightly overlapping the black one.\n\n'
msg = msg + 'Click the mouse to conclude this test.'
if result is not None:
msg = msg + '\n\nERROR: You returned a value! Wrong!!!'
text.text = msg
window.render(0.5)
window.get_next_mouse_click()
window.close()
def generate_points_on_circle(circle_for_points, number_of_points_to_generate):
"""
What comes in:
-- an rg.Circle
-- a positive integer that specifies how many rg.Points
to generate
What goes out: Returns a list containing the given number
of rg.Points, where the rg.Points:
-- all lie on the circumference of the given rg.Circle,
-- are equally distant from each other, and
-- go clockwise around the circumference of the given rg.Circle,
starting at the rightmost point on the rg.Circle.
Side effects: None.
Examples:
See the 'draw_points_on_circle' pictures in the pizza.pdf
file attached, with the points shown on those pictures.
Type hints:
:type circle_for_points: rg.Circle
:type number_of_points_to_generate: int
:rtype: list of rg.Points
"""
# -------------------------------------------------------------------------
# Students:
# Do NOT touch the above generate_points_on_circle function -
# it has no TO DO.
# Do NOT copy code from this function.
#
# Instead, ** CALL ** this function as needed in the problems below.
# -------------------------------------------------------------------------
radius = circle_for_points.radius
center_x = circle_for_points.center.x
center_y = circle_for_points.center.y
# -------------------------------------------------------------------------
# Each point is delta_degrees from the previous point,
# along the circumference of the given circle.
# -------------------------------------------------------------------------
delta_degrees = 360 / number_of_points_to_generate
points = []
degrees = 0
for _ in range(number_of_points_to_generate):
# ---------------------------------------------------------------------
# Compute x and y of the point on the circumference of the
# circle by using a polar representation.
# ---------------------------------------------------------------------
angle = math.radians(degrees)
x = radius * math.cos(angle) + center_x
y = radius * math.sin(angle) + center_y
# ---------------------------------------------------------------------
# Construct the point and append it to the list.
# ---------------------------------------------------------------------
point_on_circumference = rg.Point(x, y)
points.append(point_on_circumference)
# ---------------------------------------------------------------------
# The next point will be delta_degrees from this point,
# along the circumference of the given circle.
# ---------------------------------------------------------------------
degrees = degrees + delta_degrees
return points
def draw_row_of_circles(n, starting_point, color, window):
"""
What comes in: The four arguments are:
-- A positive integer n.
-- An rg.Point.
-- A color appropriate for rosegraphics (e.g. 'red')
-- An rg.RoseWindow.
What goes out: Nothing (i.e., None).
Side effects:
Draws n rg.Circle objects in a row,
all on the given rg.RoseWindow, such that:
-- The first rg.Circle is centered at the given starting_point.
-- Each rg.Circle just touches the previous one (to its left).
-- Each rg.Circle has radius 20.
-- Each rg.Circle is filled with the given color.
Must ** render ** but ** NOT close ** the rg.RoseWindow.
Type hints:
:type n: int
:type starting_point: rg.Point
:type color: str
:type window: rg.RoseWindow
"""
# -------------------------------------------------------------------------
# The example below shows one way to solve problems using
# HELPER variables (aka AUXILIARY variables)
# In this approach:
# 1. You determine all the variables that you need
# to construct/draw whatever the problem calls for.
# We call these HELPER variables.
# 2. You initialize them BEFORE the loop, choosing values that
# make them just right for constructing and drawing the
# FIRST object to be drawn, in the FIRST time through the loop.
# For example, x = starting_point.x in the example below.
# 3. You determine how many times the loop should run
# (generally, however many objects you want to draw)
# and write the FOR statement for the loop.
# For example, for _ in range(n): in the example below.
# 4. Inside the loop you write the statements to construct and
# draw the FIRST object to be drawn, using your helper
# variables. This is easy because you chose just the right
# values for those helper variables for this FIRST object.
# 5. Test: Make sure the FIRST object appears.
# (It will be redrawn many times, that is OK).
# 6. Add code at the BOTTOM of the loop that changes the helper
# variables appropriately for the NEXT time through the loop.
# For example, x = x + diameter in the example below.
# 7. Test and fix as needed.
#
# Many students (and professionals) find this technique less
# error-prone that using the loop variable to do all the work.
# -------------------------------------------------------------------------
radius = 20
diameter = 2 * radius
x = starting_point.x # Initialize x and y BEFORE the loop. Choose ...
y = starting_point.y # ... values that make the FIRST object easy to draw.
for _ in range(n): # Loop that does NOT use its index variable
# ---------------------------------------------------------------------
# Construct the relevant object(s),
# based on the current x, y and other variables.
# ---------------------------------------------------------------------
center = rg.Point(x, y)
circle = rg.Circle(center, radius)
circle.fill_color = color
# Attach the object(s) to the window.
circle.attach_to(window)
# ---------------------------------------------------------------------
# Increment x (and in other problems, other variables)
# for the thing(s) to draw in the NEXT iteration of the loop.
# ---------------------------------------------------------------------
x = x + diameter
window.render()
def run_test_practice_problem3a():
""" Tests the practice_problem3a function. """
# ------------------------------------------------------------------
# 6 tests.
# They use the imported simple_testing (st) module.
# Each test is a SimpleTestCase with 3 arguments:
# -- the function to test,
# -- a list containing the argument(s) to send to the function,
# -- the correct returned value.
# For example, the first test below will call
# practice_problem3a((rg.Circle(rg.Point(5, 10), 20),
# rg.Circle(rg.Point(2, 20), 20),
# rg.Circle(rg.Point(7, 30), 10),
# rg.Circle(rg.Point(10, 40), 20),
# rg.Circle(rg.Point(2, 50), 10)))
# and compare the returned value against 1400 (the correct answer).
# ------------------------------------------------------------------
tests = [
st.SimpleTestCase(
practice_problem3a,
[(rg.Circle(rg.Point(5, 10), 20), rg.Circle(rg.Point(2, 20), 20),
rg.Circle(rg.Point(7, 30), 10), rg.Circle(rg.Point(10, 40), 20),
rg.Circle(rg.Point(2, 50), 10))], 5 * 2 * 7 * 10 * 2),
st.SimpleTestCase(practice_problem3a,
[(rg.Circle(rg.Point(58, 10), 20), )], 58),
st.SimpleTestCase(practice_problem3a, [(rg.Circle(
rg.Point(84, 100), 200), rg.Circle(rg.Point(
28, 200), 200), rg.Circle(rg.Point(10005, 300), 100))],
84 * 28 * 10005),
st.SimpleTestCase(practice_problem3a, [()], 1),
st.SimpleTestCase(
practice_problem3a,
[(rg.Circle(rg.Point(5, 10), 20), rg.Circle(rg.Point(0, 20), 20),
rg.Circle(rg.Point(7, 30), 10), rg.Circle(rg.Point(10, 40), 20),
rg.Circle(rg.Point(2, 50), 10))], 5 * 0 * 7 * 10 * 2),
]
circles = []
for k in range(1, 101):
circles.append(rg.Circle(rg.Point(k, k + 20), 5 * k))
answer = math.factorial(100)
tests.append(st.SimpleTestCase(practice_problem3a, [circles], answer))
# ------------------------------------------------------------------
# Run the 6 tests in the tests list constructed above.
# ------------------------------------------------------------------
st.SimpleTestCase.run_tests('practice_problem3a', tests)
