def run_test_init():
""" Tests the __init__ method of the Line class. """
if not start_test('__init__'):
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) # 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'))
end_test()
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_midpoint():
""" Tests the midpoint method of the Line class. """
if not start_test('midpoint'):
return
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:')
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 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_get_number_of_clones():
""" Tests the get_number_of_clones method of the Line class. """
if not start_test('get_number_of_clones'):
return
line1 = m1.Line(m1.Point(500, 20), m1.Point(100, 8))
line1.reverse()
line2 = line1.clone()
line1.reverse()
line2.reverse()
line2.x = m1.Point(0, 0)
line3 = line1.clone()
line4 = line3.clone()
line5 = line1.clone()
expected = 3
actual = line1.get_number_of_clones()
evaluate_test(expected, actual, 'Testing line1, cloned 3 times:')
expected = 0
actual = line2.get_number_of_clones()
evaluate_test(expected, actual, 'Testing line2, never cloned:')
expected = 1
actual = line3.get_number_of_clones()
evaluate_test(expected, actual, 'Testing line3, cloned once:')
expected = 0
actual = line4.get_number_of_clones()
evaluate_test(expected, actual, 'Testing line4, never cloned:')
expected = 0
actual = line5.get_number_of_clones()
evaluate_test(expected, actual, 'Testing line5, not yet cloned:')
line3 = line5.clone()
expected = 0
actual = line3.get_number_of_clones()
evaluate_test(expected, actual, 'Testing line3, now a new Line')
expected = 1
actual = line5.get_number_of_clones()
evaluate_test(expected, actual, 'Testing line5, cloned once:')
line5 = line1
expected = 3
actual = line5.get_number_of_clones()
evaluate_test(expected, actual, 'Testing line5, now same as line1:')
end_test()
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
actual = line4.slope()
evaluate_test(expected, actual, 'Testing a vertical line:')
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 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_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()