def run_test_length():
""" Tests the length method of the Line class. """
if not start_test('length'):
return
line1 = m1.Line(m1.Point(25, 2), m1.Point(10, 7)) # Length is 15.8113883
line2 = m1.Line(m1.Point(-30, 10), m1.Point(-10,
20)) # Length is 22.3606798
line3 = m1.Line(m1.Point(-100, 20),
m1.Point(300, 20)) # Horizontal line, length is 400
line4 = m1.Line(m1.Point(30, 40),
m1.Point(30, 100)) # Vertical line, length is 60
line5 = m1.Line(m1.Point(100, 200), m1.Point(100, 200)) # Length is 0
# These tests round all numbers to 6 decimal places before
# doing the test for equality. This is necessary since here we
# are dealing with floating point numbers that may be computed
# slightly differently (but with both ways correct).
# ACTUALLY, I think that __eq__ in the Point class now takes
# care of the floating-point roundoff.
expected = round(15.8113883, 6)
actual = round(line1.length(), 6)
evaluate_test(expected, actual, 'Testing a negative-slope line:')
expected = round(22.3606798, 6)
actual = round(line2.length(), 6)
evaluate_test(expected, actual, 'Testing a fractional-slope line:')
expected = round(400.0, 6)
actual = round(line3.length(), 6)
evaluate_test(expected, actual, 'Testing a horizontal line')
expected = round(60.0, 6)
actual = round(line4.length(), 6)
evaluate_test(expected, actual, 'Testing a vertical line:')
expected = round(0.0, 6)
actual = round(line5.length(), 6)
evaluate_test(expected, actual, 'Testing a length-zero line:')
end_test()
def run_test_reverse():
""" Tests the reverse method of the Line class. """
if not start_test('reverse'):
return
# ------------------------------------------------------------------
# Tests using one line:
# ------------------------------------------------------------------
line = m1.Line(m1.Point(12, 88),
m1.Point(40, 33))
original_start = line.start
original_end = line.end
line_clone = m1.Line(m1.Point(12, 88),
m1.Point(40, 33))
# ------------------------------------------------------------------
# Reverse the first time:
# ------------------------------------------------------------------
line.reverse()
expected = original_end
actual = line.start
evaluate_test(expected, actual, 'Testing START after 1st reverse:')
if (expected == actual) and (expected is not actual):
print_failure()
print_failure(' START is a CLONE of the original END')
print_failure(' instead of the original END itself.')
expected = original_start
actual = line.end
evaluate_test(expected, actual, 'Testing END after 1st reverse:')
if (expected == actual) and (expected is not actual):
print_failure()
print_failure(' END is a CLONE of the original START')
print_failure(' instead of the original START itself.')
# ------------------------------------------------------------------
# After another reverse, line should be back to the original line.
# ------------------------------------------------------------------
line.reverse()
expected = line_clone
actual = line
evaluate_test(expected, actual, 'Testing after the 2nd reverse:')
end_test()
def test_rotations():
""" Tests the rotations method of the Line class. """
print()
print('-----------------------------------------------------------')
print('Testing the rotations method of the Line class:')
print('-----------------------------------------------------------')
if not is_implemented('rotations'):
return
print('The following are OUR tests (from m1t_test_Line):')
line1 = m1.Line(m1.Point(88, 99), m1.Point(77, 66))
line2 = m1.Line(m1.Point(0, 0), m1.Point(10, 30))
# Various actions with 5 calls to ROTATE of line1 among them
# and 2 calls to ROTATE of line2 among them.
line1.clone()
line1.rotate(55)
line1.reverse()
line1.slope()
line2.rotate(44)
line1.length()
line1.rotate(33)
line1.is_parallel(line2)
line2.rotate(22)
line1.rotate(11)
line1.rotate(-33)
line1.reverse()
line1.rotate(-0.0003)
line1.clone()
expected = 5
actual = line1.rotations()
evaluate_test(expected, actual,
'Testing various actions with 5 line1 rotations:')
expected = 2
actual = line2.rotations()
evaluate_test(expected, actual,
'Testing various actions with 2 line2 rotations:')
# Testing repeated calls to ROTATE.
line3 = m1.Line(m1.Point(0, 0), m1.Point(0, 0))
result = 'PASSED'
for k in range(100):
line3.rotate(33)
line3.rotations() # Should not change anything
r = line3.rotations()
if r != k + 1:
result = 'FAILED'
break
expected = 'PASSED'
actual = result
evaluate_test(expected, actual, 'Testing up to 100 more rotations:')
print('\nHere is YOUR test (that YOU wrote in m1_Line):')
print()
def test_slope():
""" Tests the slope method of the Line class. """
print()
print('-----------------------------------------------------------')
print('Testing the slope method of the Line class:')
print('-----------------------------------------------------------')
if not is_implemented('slope'):
return
print('The following are OUR tests (from m1t_test_Line):')
line1 = m1.Line(m1.Point(2, 25), m1.Point(7, 10)) # Slope is -3
line2 = m1.Line(m1.Point(-30, 10), m1.Point(-10, 20)) # Slope is 0.5
line3 = m1.Line(m1.Point(-100, 20), m1.Point(300, 20)) # Slope is 0
line4 = m1.Line(m1.Point(30, 40), m1.Point(30, 100)) # Slope is math.inf
expected = -3.0
actual = line1.slope()
evaluate_test(expected, actual, 'Testing a negative slope:')
expected = 0.5
actual = line2.slope()
evaluate_test(expected, actual, 'Testing a fractional slope:')
expected = 0.0
actual = line3.slope()
if actual == -0.0:
expected = -0.0 # Both positive and negative zero are correct.
evaluate_test(expected, actual, 'Testing a horizontal line')
expected = math.inf
actual = line4.slope()
evaluate_test(expected, actual, 'Testing a vertical line:')
print('\nHere is YOUR test (that YOU wrote in m1_Line):')
print()
def test_midpoint():
""" Tests the midpoint method of the Line class. """
print()
print('-----------------------------------------------------------')
print('Testing the midpoint method of the Line class:')
print('-----------------------------------------------------------')
if not is_implemented('midpoint'):
return
print('The following are OUR tests (from m1t_test_Line):')
line = m1.Line(m1.Point(-10, 50), m1.Point(30, 20)) # midpoint is (10, 35)
expected = m1.Point(10.0, 35.0)
actual = line.midpoint()
evaluate_test(expected, actual, 'Testing the original line:')
expected = m1.Point(10.0, 35.0)
actual = line.midpoint()
evaluate_test(expected, actual, 'Testing the original line again:')
line.start = m1.Point(30.0, 10.0)
expected = m1.Point(30.0, 15.0)
actual = line.midpoint()
evaluate_test(expected, actual, 'Testing a vertical line:')
line.end = m1.Point(-30.0, 10.0)
expected = m1.Point(0.0, 10.0)
actual = line.midpoint()
evaluate_test(expected, actual, 'Testing a horizontal line:')
line.start = line.end
expected = line.start.clone()
actual = line.midpoint()
evaluate_test(expected, actual, 'Testing a zero-length line:')
print('\nHere is YOUR test (that YOU wrote in m1_Line):')
print()
def run_test_slope():
""" Tests the slope method of the Line class. """
if not start_test('slope'):
return
line1 = m1.Line(m1.Point(2, 25),
m1.Point(7, 10)) # Slope is -3
line2 = m1.Line(m1.Point(-30, 10),
m1.Point(-10, 20)) # Slope is 0.5
line3 = m1.Line(m1.Point(-100, 20),
m1.Point(300, 20)) # Slope is 0
line4 = m1.Line(m1.Point(30, 40),
m1.Point(30, 100)) # Slope is math.inf
expected = -3.0
actual = line1.slope()
evaluate_test(expected, actual, 'Testing a negative slope:')
expected = 0.5
actual = line2.slope()
evaluate_test(expected, actual, 'Testing a fractional slope:')
expected = 0.0
actual = line3.slope()
if actual == -0.0:
expected = -0.0 # Both positive and negative zero are correct.
evaluate_test(expected, actual, 'Testing a horizontal line')
#expected = math.inf
expected = 0
actual = line4.slope()
evaluate_test(expected, actual, 'Testing a vertical line:')
end_test()
def run_test_line_minus():
""" Tests the line_minus method of the Line class. """
if not start_test('line_minus'):
return
line1 = m1.Line(m1.Point(500, 20), m1.Point(100, 8))
line2 = m1.Line(m1.Point(100, 13), m1.Point(400, 8))
expected = m1.Line(m1.Point(400, 7), m1.Point(-300, 0))
actual = line1.line_minus(line2)
evaluate_test(expected, actual, 'Testing line1 - line2:')
expected = m1.Line(m1.Point(-400, -7), m1.Point(300, 0))
actual = line2.line_minus(line1)
evaluate_test(expected, actual, 'Testing line2 - line1:')
expected = m1.Line(m1.Point(-900, -27), m1.Point(200, -8))
actual = line2.line_minus(line1).line_minus(line1)
evaluate_test(expected, actual, 'Testing line2 - line1 - line1:')
expected = m1.Line(m1.Point(0, 0), m1.Point(0, 0))
actual = line2.line_minus(line2)
evaluate_test(expected, actual, 'Testing line2 - line2:')
end_test()
def run_test_line_plus():
""" Tests the line_plus method of the Line class. """
if not start_test('line_plus'):
return
line1 = m1.Line(m1.Point(500, 20), m1.Point(100, 8))
line2 = m1.Line(m1.Point(100, 13), m1.Point(400, 8))
expected = m1.Line(m1.Point(600, 33), m1.Point(500, 16))
actual = line1.line_plus(line2)
evaluate_test(expected, actual, 'Testing line1 + line2:')
expected = m1.Line(m1.Point(600, 33), m1.Point(500, 16))
actual = line2.line_plus(line1)
evaluate_test(expected, actual, 'Testing line2 + line1:')
expected = m1.Line(m1.Point(1100, 53), m1.Point(600, 24))
actual = line2.line_plus(line1).line_plus(line1)
evaluate_test(expected, actual, 'Testing line2 + line1 + line1:')
expected = m1.Line(m1.Point(200, 26), m1.Point(800, 16))
actual = line2.line_plus(line2)
evaluate_test(expected, actual, 'Testing line2 + line2:')
end_test()
def run_test_clone():
""" Tests the clone method of the Line class. """
if not start_test('clone'):
return
# -------------------------------------------------------------------------
# Tests using one line:
# -------------------------------------------------------------------------
start = m1.Point(12, 88)
end = m1.Point(40, 33)
start_clone = start.clone()
end_clone = end.clone()
line = m1.Line(start, end)
clone = line.clone()
# Test that the clone is a clone (copy), not just a 2nd reference.
expected = True
actual = (line == clone)
evaluate_test(expected, actual, 'Testing that (line == clone):')
expected = False
actual = (line is clone)
title = 'Testing that the line and clone are NOT the same object:'
evaluate_test(expected, actual, title)
expected = False
actual = (line.start is clone.start)
title = 'Testing that their START points are NOT the same object:'
evaluate_test(expected, actual, title)
expected = False
actual = (line.end is clone.end)
title = 'Testing that their END points are NOT the same object:'
evaluate_test(expected, actual, title)
# Change both line and clone. Neither should affect the other.
new_start = m1.Point(100, 200)
new_end = m1.Point(300, 400)
line.start = new_start
clone.end = new_end
# Test the clone:
expected = start_clone
actual = clone.start
evaluate_test(expected, actual, 'Testing START for the clone:')
expected = new_end
actual = clone.end
evaluate_test(expected, actual, 'Testing END for the clone:')
# Test the line:
expected = new_start
actual = line.start
evaluate_test(expected, actual, 'Testing START for the line:')
expected = end_clone
actual = line.end
evaluate_test(expected, actual, 'Testing END for the line:')
# -------------------------------------------------------------------------
# Tests using another line:
# -------------------------------------------------------------------------
start = m1.Point(55, 66)
end = m1.Point(77, 88)
line = m1.Line(start, end)
clone = line.clone()
# Test that the clone is a clone (copy), not just a 2nd reference.
expected = True
actual = (line == clone)
evaluate_test(expected, actual, 'Testing that (line == clone):')
expected = False
actual = (line is clone)
title = 'Testing that the line and clone are NOT the same object:'
evaluate_test(expected, actual, title)
end_test()
def test_init():
""" Tests the __init__ method of the Line class. """
print()
print('-----------------------------------------------------------')
print('Testing the __init__ method of the Line class:')
print('-----------------------------------------------------------')
if not is_implemented('__init__'):
return
print('The following are OUR tests (from m1t_test_Line):')
# ------------------------------------------------------------------
# Tests using one line:
# ------------------------------------------------------------------
start = m1.Point(12, 88)
end = m1.Point(40, 33)
start_clone = start.clone()
end_clone = end.clone()
line = m1.Line(start, end) # Causes __init__ to run
# Test whether start is set correctly.
expected = start_clone
actual = line.start
evaluate_test(expected, actual, 'Testing START:')
# Test whether end is set correctly.
expected = end_clone
actual = line.end
evaluate_test(expected, actual, 'Testing END:')
# Testing whether __init__ CLONED its arguments:
message = '\n *** ERROR: FAILED to CLONE the {} argument. ***'
if line.start is start:
print_failure(message.format('START'))
if line.end is end:
print_failure(message.format('END'))
# ------------------------------------------------------------------
# Tests using another line:
# ------------------------------------------------------------------
start = m1.Point(-10, 111)
end = m1.Point(222, -20)
start_clone = start.clone()
end_clone = end.clone()
line = m1.Line(start, end) # Causes __init__ to run
# Test whether start is set correctly.
expected = start_clone
actual = line.start
evaluate_test(expected, actual, 'Testing START:')
# Test whether end is set correctly.
expected = end_clone
actual = line.end
evaluate_test(expected, actual, 'Testing END:')
# Testing whether __init__ CLONED its arguments:
message = '\n *** ERROR: FAILED to CLONE the {} argument. ***'
if line.start is start:
print_failure(message.format('START'))
if line.end is end:
print_failure(message.format('END'))
print('\nHere is YOUR test (that YOU wrote in m1_Line):\n')
def test_line_plus():
""" Tests the line_plus method of the Line class. """
print()
print('-----------------------------------------------------------')
print('Testing the line_plus method of the Line class:')
print('-----------------------------------------------------------')
if not is_implemented('line_plus'):
return
print('The following are OUR tests (from m1t_test_Line):')
line1 = m1.Line(m1.Point(500, 20), m1.Point(100, 8))
line2 = m1.Line(m1.Point(100, 13), m1.Point(400, 8))
expected = m1.Line(m1.Point(600, 33), m1.Point(500, 16))
actual = line1.line_plus(line2)
evaluate_test(expected, actual, 'Testing line1 + line2:')
expected = m1.Line(m1.Point(600, 33), m1.Point(500, 16))
actual = line2.line_plus(line1)
evaluate_test(expected, actual, 'Testing line2 + line1:')
expected = m1.Line(m1.Point(1100, 53), m1.Point(600, 24))
actual = line2.line_plus(line1).line_plus(line1)
evaluate_test(expected, actual, 'Testing line2 + line1 + line1:')
expected = m1.Line(m1.Point(200, 26), m1.Point(800, 16))
actual = line2.line_plus(line2)
evaluate_test(expected, actual, 'Testing line2 + line2:')
print('\nHere is YOUR test (that YOU wrote in m1_Line):')
print()
def test_rotate():
""" Tests the rotate method of the Line class. """
print()
print('-----------------------------------------------------------')
print('Testing the rotate method of the Line class:')
print('-----------------------------------------------------------')
if not is_implemented('rotate'):
return
print('The following are OUR tests (from m1t_test_Line):')
# ------------------------------------------------------------------
# Tests using a vertical Line whose center is (60, 300)
# and whose length is 400.
# ------------------------------------------------------------------
p1 = m1.Point(60, 100)
p2 = m1.Point(60, 500)
center = m1.Point(60, 300)
length = 400
line1 = m1.Line(p1.clone(), p2.clone())
line1.rotate(90) # The line is now horizontal
expected = m1.Line(m1.Point(p1.x + (length / 2), center.y),
m1.Point(p2.x - (length / 2), center.y))
actual = line1
evaluate_test(expected, actual,
'Testing a vertical line after 90 rotation:')
line1.rotate(-180)
expected = m1.Line(m1.Point(p2.x - (length / 2), center.y),
m1.Point(p1.x + (length / 2), center.y))
actual = line1
evaluate_test(expected, actual,
'Testing after an additional -180 rotation:')
line1.rotate(90)
expected = m1.Line(p1, p2)
actual = line1
evaluate_test(expected, actual,
'Then testing after an additional 90 rotation:')
# ------------------------------------------------------------------
# Tests using a horizontal Line whose center is (50, -100)
# and whose length is 40.
# ------------------------------------------------------------------
p1 = m1.Point(30, -100)
p2 = m1.Point(70, -100)
center = m1.Point(50, -100)
length = 40
line2 = m1.Line(p1.clone(), p2.clone())
line2.rotate(30) # The line is now at 30 degree angle
delta_x = math.cos(math.pi / 6) * (length / 2)
delta_y = math.sin(math.pi / 6) * (length / 2)
if p1.x > p2.x:
direction = 1
else:
direction = -1
expected = m1.Line(
m1.Point(center.x + (direction * delta_x),
center.y + (direction * delta_y)),
m1.Point(center.x - (direction * delta_x),
center.y - (direction * delta_y)))
actual = line2
evaluate_test(expected, actual,
'Testing a horizontal line after 30 rotation:')
# Same as previous test, but with start and end reversed:
line2 = m1.Line(p2.clone(), p1.clone())
line2.rotate(30) # The line is now at 30 degree angle
delta_x = math.cos(math.pi / 6) * (length / 2)
delta_y = math.sin(math.pi / 6) * (length / 2)
if p1.x > p2.x:
direction = 1
else:
direction = -1
expected = m1.Line(
m1.Point(center.x - (direction * delta_x),
center.y - (direction * delta_y)),
m1.Point(center.x + (direction * delta_x),
center.y + (direction * delta_y)))
actual = line2
evaluate_test(expected, actual,
'Testing same line, reversed, after 30 rotation:')
print('\nHere is YOUR test (that YOU wrote in m1_Line):')
print()
def test_is_parallel():
""" Tests the is_parallel method of the Line class. """
print()
print('-----------------------------------------------------------')
print('Testing the is_parallel method of the Line class:')
print('-----------------------------------------------------------')
if not is_implemented('is_parallel'):
return
print('The following are OUR tests (from m1t_test_Line):')
# ------------------------------------------------------------------
# Tests using one pair of lines. Each has slope -5.
# ------------------------------------------------------------------
line1 = m1.Line(m1.Point(24, 10), m1.Point(20, 30))
line2 = m1.Line(m1.Point(60, -110),
m1.Point(68, -150)) # These both have slope -5
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing parallel lines:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing those lines again:')
line1.reverse()
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing after reversing one line:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# ------------------------------------------------------------------
# Modifying one of the lines, so that they are no longer parallel:
# ------------------------------------------------------------------
line1.start.x = line1.start.x + 0.000001
expected = False
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing lines no longer parallel:')
expected = False
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# ------------------------------------------------------------------
# Testing horizontal lines:
# ------------------------------------------------------------------
line1 = m1.Line(m1.Point(88, 50), m1.Point(99, 50))
line2 = m1.Line(m1.Point(-100, 300),
m1.Point(-200, 300)) # These are both horizontal
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing parallel lines:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing those lines again:')
line1.reverse()
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing after reversing one line:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# Modifying one of the lines, so that they are no longer parallel:
line2.end.y = line2.end.y + 0.000001
expected = False
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing lines no longer parallel:')
expected = False
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# ------------------------------------------------------------------
# Testing vertical lines:
# ------------------------------------------------------------------
line1 = m1.Line(m1.Point(77, 66), m1.Point(77, -600))
line2 = m1.Line(m1.Point(-110, 33),
m1.Point(-110, 300)) # These are both vertical
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing parallel lines:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing those lines again:')
line1.reverse()
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing after reversing one line:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# Modifying one of the lines, so that they are no longer parallel:
line1.end.x = line1.end.x + 0.000001
expected = False
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing lines no longer parallel:')
expected = False
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# ------------------------------------------------------------------
# Testing a situation where floating point arithmetic may say
# that two slopes that are equal (in REAL arithmetic) are NOT equal.
#
# The code must ROUND in comparing the two slopes.
# ------------------------------------------------------------------
line1 = m1.Line(m1.Point(24 * math.pi, 10), m1.Point(20 * math.pi, 30))
line2 = m1.Line(m1.Point(60 * math.pi, -110), m1.Point(68 * math.pi, -150))
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual,
'Testing whether you ROUNDED in comparing the slopes:')
print('\nHere is YOUR test (that YOU wrote in m1_Line):')
print()
def test_line_minus():
""" Tests the line_minus method of the Line class. """
print()
print('-----------------------------------------------------------')
print('Testing the line_minus method of the Line class:')
print('-----------------------------------------------------------')
if not is_implemented('line_minus'):
return
print('The following are OUR tests (from m1t_test_Line):')
line1 = m1.Line(m1.Point(500, 20), m1.Point(100, 8))
line2 = m1.Line(m1.Point(100, 13), m1.Point(400, 8))
expected = m1.Line(m1.Point(400, 7), m1.Point(-300, 0))
actual = line1.line_minus(line2)
evaluate_test(expected, actual, 'Testing line1 - line2:')
expected = m1.Line(m1.Point(-400, -7), m1.Point(300, 0))
actual = line2.line_minus(line1)
evaluate_test(expected, actual, 'Testing line2 - line1:')
expected = m1.Line(m1.Point(-900, -27), m1.Point(200, -8))
actual = line2.line_minus(line1).line_minus(line1)
evaluate_test(expected, actual, 'Testing line2 - line1 - line1:')
expected = m1.Line(m1.Point(0, 0), m1.Point(0, 0))
actual = line2.line_minus(line2)
evaluate_test(expected, actual, 'Testing line2 - line2:')
print('\nHere is YOUR test (that YOU wrote in m1_Line):')
print()
def run_test_is_parallel():
""" Tests the is_parallel method of the Line class. """
if not start_test('is_parallel'):
return
# -------------------------------------------------------------------------
# Tests using one pair of lines. Each has slope -5.
# -------------------------------------------------------------------------
line1 = m1.Line(m1.Point(24, 10), m1.Point(20, 30))
line2 = m1.Line(m1.Point(60, -110),
m1.Point(68, -150)) # These both have slope -5
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing parallel lines:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing those lines again:')
line1.reverse()
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing after reversing one line:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# -------------------------------------------------------------------------
# Modifying one of the lines, so that they are no longer parallel:
# -------------------------------------------------------------------------
line1.start.x = line1.start.x + 0.000001
expected = False
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing lines no longer parallel:')
expected = False
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# -------------------------------------------------------------------------
# Testing horizontal lines:
# -------------------------------------------------------------------------
line1 = m1.Line(m1.Point(88, 50), m1.Point(99, 50))
line2 = m1.Line(m1.Point(-100, 300),
m1.Point(-200, 300)) # These are both horizontal
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing parallel lines:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing those lines again:')
line1.reverse()
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing after reversing one line:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# Modifying one of the lines, so that they are no longer parallel:
line2.end.y = line2.end.y + 0.000001
expected = False
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing lines that are ALMOST parallel:')
expected = False
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# -------------------------------------------------------------------------
# Testing vertical lines:
# -------------------------------------------------------------------------
line1 = m1.Line(m1.Point(77, 66), m1.Point(77, -600))
line2 = m1.Line(m1.Point(-110, 33),
m1.Point(-110, 300)) # These are both vertical
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing parallel lines:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing those lines again:')
line1.reverse()
expected = True
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing after reversing one line:')
expected = True
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# Modifying one of the lines, so that they are no longer parallel:
line1.end.x = line1.end.x + 0.000001
expected = False
actual = line1.is_parallel(line2)
evaluate_test(expected, actual, 'Testing lines that are ALMOST parallel:')
expected = False
actual = line2.is_parallel(line1)
evaluate_test(expected, actual, 'Testing that again:')
# -------------------------------------------------------------------------
# Testing a situation where floating point arithmetic may say
# that two slopes that are equal (in REAL arithmetic) are NOT equal.
#
# The code must ROUND in comparing the two slopes.
# -------------------------------------------------------------------------
line1 = m1.Line(m1.Point(24 * math.pi, 10), m1.Point(20 * math.pi, 30))
line2 = m1.Line(m1.Point(60 * math.pi, -110), m1.Point(68 * math.pi, -150))
expected = True
actual = line1.is_parallel(line2)
message = ('Testing two in-fact PARALLEL lines with slightly' +
' different computed slopes from round-off):')
evaluate_test(expected, actual, message)
end_test()
def run_test_reset():
""" Tests the reset method of the Line class. """
if not start_test('reset'):
return
p1 = m1.Point(55, 66)
p2 = m1.Point(77, 88)
p3 = m1.Point(0, 0)
p4 = m1.Point(-100, -2)
line1 = m1.Line(p1.clone(), p2.clone())
line2 = m1.Line(p3.clone(), p4.clone())
line3 = m1.Line(p1.clone(), p3.clone())
line1.start = m1.Point(100, 300)
line2.end = m1.Point(99, 4)
line1.reverse()
line1.reverse()
line2.reverse()
line3.reverse()
# -------------------------------------------------------------------------
# Testing line1 BEFORE the reset, then AFTER the reset.
# -------------------------------------------------------------------------
expected = False
actual = (line1 == m1.Line(p1, p2))
evaluate_test(expected, actual, 'Testing line1 BEFORE the reset:')
line1.reset()
expected = m1.Line(p1, p2)
actual = line1
evaluate_test(expected, actual, 'Testing line1 AFTER the reset:')
# -------------------------------------------------------------------------
# Testing line2 BEFORE the reset, then AFTER the reset.
# -------------------------------------------------------------------------
expected = False
actual = (line2 == m1.Line(p3, p4))
evaluate_test(expected, actual, 'Testing line2 BEFORE the reset:')
line2.reset()
expected = m1.Line(p3, p4)
actual = line2
evaluate_test(expected, actual, 'Testing line2 AFTER the reset:')
# -------------------------------------------------------------------------
# Testing line3 BEFORE the reset, then AFTER the reset.
# -------------------------------------------------------------------------
expected = False
actual = (line3 == m1.Line(p1, p3))
evaluate_test(expected, actual, 'Testing line3 BEFORE the reset:')
line3.reset()
expected = m1.Line(p1, p3)
actual = line3
evaluate_test(expected, actual, 'Testing line3 AFTER the reset:')
# -------------------------------------------------------------------------
# Testing MANY resets, then ONLY resets.
# -------------------------------------------------------------------------
for _ in range(99):
line1.reverse()
line1.reset()
expected = m1.Line(p1, p2)
actual = line1
evaluate_test(expected, actual, 'Testing line1 after MANY resets')
line3 = m1.Line(p1.clone(), p4.clone())
for _ in range(1001):
line3.reset()
expected = m1.Line(p1, p4)
actual = line3
evaluate_test(expected, actual, 'Testing line3 after ONLY resets')
# -------------------------------------------------------------------------
# Testing whether the code CLONED when it stored the original Points
# for retrieval by reset.
# -------------------------------------------------------------------------
line4 = m1.Line(m1.Point(66, 77), m1.Point(88, 99))
line4.start.x = 100
line4.reset()
expected = m1.Line(m1.Point(66, 77), m1.Point(88, 99))
actual = line4
title = 'Testing whether the code CLONED when it stored the Points'
evaluate_test(expected, actual, title)
end_test()
def test_intersection():
""" Tests the intersection method of the Line class. """
print()
print('-----------------------------------------------------------')
print('Testing the intersection method of the Line class:')
print('-----------------------------------------------------------')
if not is_implemented('intersection'):
return
print('The following are OUR tests (from m1t_test_Line):')
line1 = m1.Line(m1.Point(10, 4), m1.Point(24, 4))
line2 = m1.Line(m1.Point(18, 20), m1.Point(18, -5))
line3 = m1.Line(m1.Point(19, 6), m1.Point(14, 1))
line4 = m1.Line(m1.Point(21, 5), m1.Point(11, 0))
expected = m1.Point(18.0, 4.0)
actual = line1.intersection(line2)
evaluate_test(expected, actual,
'Testing horizontal line crossed by vertical line')
expected = m1.Point(18.0, 4.0)
actual = line2.intersection(line1)
evaluate_test(expected, actual, 'Testing the same, in the other order')
expected = m1.Point(17.0, 4.0)
actual = line1.intersection(line3)
evaluate_test(expected, actual,
'Testing horizontal line crossed by slanted line')
expected = m1.Point(18.0, 4.0)
actual = line2.intersection(line1)
evaluate_test(expected, actual, 'Testing the same, in the other order')
expected = m1.Point(15.0, 2.0)
actual = line3.intersection(line4)
evaluate_test(expected, actual,
'Testing slanted line crossed by slanted line')
line5 = m1.Line(m1.Point(10, 4), m1.Point(18, 4))
expected = m1.Point(18.0, 4.0)
actual = line5.intersection(line2)
evaluate_test(expected, actual, 'Testing two lines that barely cross')
line6 = m1.Line(m1.Point(10, 4), m1.Point(17.99, 4))
expected = None
actual = line6.intersection(line2)
evaluate_test(expected, actual,
'Testing two lines that just miss crossing')
line7 = m1.Line(m1.Point(24 * math.pi, 10), m1.Point(20 * math.pi, 30))
line8 = m1.Line(m1.Point(60 * math.pi, -110), m1.Point(68 * math.pi, -150))
expected = None
actual = line7.intersection(line8)
evaluate_test(expected, actual, 'Testing two parallel lines')
print('\nHere is YOUR test (that YOU wrote in m1_Line):')
print()