def test_build_max_heap_(self):
array, elements = get_random_array()
build_max_heap_(array)
assert_that(array, has_property('heap_size'))
assert_that(array.heap_size, is_(equal_to(array.length)))
assert_max_heap(array)
def test_extract_max(self):
heap, elements = get_random_max_heap()
actual_max = heap_extract_max(heap)
assert_that(actual_max, is_(equal_to(max(elements))))
assert_max_heap(heap)
actual_heap_keys = heap[1:heap.heap_size]
expected_heap_keys = sorted(elements)[:-1] # all but maximum
assert_that(actual_heap_keys, contains_inanyorder(*expected_heap_keys))
def test_extract_max(self):
heap, elements = get_random_max_heap()
actual_max = heap_extract_max(heap)
assert_that(actual_max, is_(equal_to(max(elements))))
assert_max_heap(heap)
actual_heap_keys = heap[1:heap.heap_size]
expected_heap_keys = sorted(elements)[:-1] # all but maximum
assert_that(actual_heap_keys, contains_inanyorder(*expected_heap_keys))
def test_iterative_max_heapify(self):
heap, elements = get_random_max_heap()
i = random.randint(1, heap.heap_size)
heap[i] = elements[i - 1] = random.randint(0, heap[i]) # randomly decrease value of randomly chosen element
iterative_max_heapify(heap, i)
assert_that(heap.heap_size, is_(equal_to(len(elements))))
assert_max_heap(heap)
assert_that(heap.elements, contains_inanyorder(*elements))
def test_iterative_max_heapify(self):
heap, elements = get_random_max_heap()
i = random.randint(1, heap.heap_size)
heap[i] = elements[i - 1] = random.randint(
0, heap[i]) # randomly decrease value of randomly chosen element
iterative_max_heapify(heap, i)
assert_that(heap.heap_size, is_(equal_to(len(elements))))
assert_max_heap(heap)
assert_that(heap.elements, contains_inanyorder(*elements))
def test_multiary_max_heapify(self):
ary = random.randint(2, 7)
heap, elements = get_random_max_heap(ary=ary)
i = random.randint(1, heap.heap_size)
heap[i] = elements[i - 1] = random.randint(0, heap[i]) # randomly decrease value of randomly chosen element
multiary_max_heapify(heap, ary, i)
assert_that(heap.heap_size, is_(equal_to(len(elements))))
assert_max_heap(heap, ary=ary)
assert_that(heap.elements, contains_inanyorder(*elements))
def test_max_heap_insert(self):
heap, elements = get_random_max_heap()
heap.elements.append(None) # to increase the heap's capacity for the new element
heap.length += 1
new_key = random.randrange(1000)
max_heap_insert(heap, new_key)
assert_that(heap.heap_size, is_(equal_to(len(elements) + 1)))
assert_max_heap(heap)
expected_heap_keys = elements + [new_key]
assert_that(heap.elements, contains_inanyorder(*expected_heap_keys))
def test_max_heap_delete(self):
heap, elements = get_random_max_heap()
i = random.randint(1, heap.heap_size)
key_to_delete = heap[i]
actual_deleted_key = max_heap_delete(heap, i)
assert_that(actual_deleted_key, is_(equal_to(key_to_delete)))
assert_max_heap(heap)
actual_heap_keys = heap[1:heap.heap_size]
expected_heap_keys = list(elements)
expected_heap_keys.remove(key_to_delete)
assert_that(actual_heap_keys, contains_inanyorder(*expected_heap_keys))
def test_multiary_max_heap_insert(self):
ary = random.randint(2, 7)
heap, elements = get_random_max_heap(ary=ary)
heap.elements.append(None) # to increase the heap's capacity for the new element
heap.length += 1
new_key = random.randrange(1000)
multiary_max_heap_insert(heap, ary, new_key)
assert_that(heap.heap_size, is_(equal_to(len(elements) + 1)))
assert_max_heap(heap, ary=ary)
expected_heap_keys = elements + [new_key]
assert_that(heap.elements, contains_inanyorder(*expected_heap_keys))
def test_max_heap_delete(self):
heap, elements = get_random_max_heap()
i = random.randint(1, heap.heap_size)
key_to_delete = heap[i]
actual_deleted_key = max_heap_delete(heap, i)
assert_that(actual_deleted_key, is_(equal_to(key_to_delete)))
assert_max_heap(heap)
actual_heap_keys = heap[1:heap.heap_size]
expected_heap_keys = list(elements)
expected_heap_keys.remove(key_to_delete)
assert_that(actual_heap_keys, contains_inanyorder(*expected_heap_keys))
def test_multiary_heap_increase_key(self):
ary = random.randint(2, 7)
heap, elements = get_random_max_heap(ary=ary)
i = random.randint(1, heap.heap_size)
old_key = heap[i]
new_key = random.randrange(1000)
real_new_key = max(old_key, new_key)
multiary_heap_increase_key(heap, ary, i, new_key)
assert_that(heap.heap_size, is_(equal_to(len(elements))))
assert_max_heap(heap, ary=ary)
expected_heap_keys = list(elements)
expected_heap_keys.remove(old_key)
expected_heap_keys.append(real_new_key)
assert_that(heap.elements, contains_inanyorder(*expected_heap_keys))
def test_heap_increase_key(self):
heap, elements = get_random_max_heap()
i = random.randint(1, heap.heap_size)
old_key = heap[i]
new_key = random.randrange(1000)
if new_key < old_key:
assert_that(calling(heap_increase_key).with_args(heap, i, new_key),
raises(RuntimeError, 'new key is smaller than current key'))
else:
heap_increase_key(heap, i, new_key)
assert_that(heap.heap_size, is_(equal_to(len(elements))))
assert_max_heap(heap)
expected_heap_keys = list(elements)
expected_heap_keys.remove(old_key)
expected_heap_keys.append(new_key)
assert_that(heap.elements, contains_inanyorder(*expected_heap_keys))
def test_heap_increase_key(self):
heap, elements = get_random_max_heap()
i = random.randint(1, heap.heap_size)
old_key = heap[i]
new_key = random.randrange(1000)
if new_key < old_key:
assert_that(
calling(heap_increase_key).with_args(heap, i, new_key),
raises(RuntimeError, 'new key is smaller than current key'))
else:
heap_increase_key(heap, i, new_key)
assert_that(heap.heap_size, is_(equal_to(len(elements))))
assert_max_heap(heap)
expected_heap_keys = list(elements)
expected_heap_keys.remove(old_key)
expected_heap_keys.append(new_key)
assert_that(heap.elements,
contains_inanyorder(*expected_heap_keys))