summaryrefslogtreecommitdiffstats
path: root/Lib/test/test_heapq.py
blob: 4e535e9ddd6a649aa84469facffccb39c057dd41 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
"""Unittests for heapq."""

from heapq import heappush, heappop, heapify, heapreplace, nlargest, nsmallest
import random
import unittest
from test import test_support
import sys


def heapiter(heap):
    # An iterator returning a heap's elements, smallest-first.
    try:
        while 1:
            yield heappop(heap)
    except IndexError:
        pass

class TestHeap(unittest.TestCase):

    def test_push_pop(self):
        # 1) Push 256 random numbers and pop them off, verifying all's OK.
        heap = []
        data = []
        self.check_invariant(heap)
        for i in range(256):
            item = random.random()
            data.append(item)
            heappush(heap, item)
            self.check_invariant(heap)
        results = []
        while heap:
            item = heappop(heap)
            self.check_invariant(heap)
            results.append(item)
        data_sorted = data[:]
        data_sorted.sort()
        self.assertEqual(data_sorted, results)
        # 2) Check that the invariant holds for a sorted array
        self.check_invariant(results)

    def check_invariant(self, heap):
        # Check the heap invariant.
        for pos, item in enumerate(heap):
            if pos: # pos 0 has no parent
                parentpos = (pos-1) >> 1
                self.assert_(heap[parentpos] <= item)

    def test_heapify(self):
        for size in range(30):
            heap = [random.random() for dummy in range(size)]
            heapify(heap)
            self.check_invariant(heap)

    def test_naive_nbest(self):
        data = [random.randrange(2000) for i in range(1000)]
        heap = []
        for item in data:
            heappush(heap, item)
            if len(heap) > 10:
                heappop(heap)
        heap.sort()
        self.assertEqual(heap, sorted(data)[-10:])

    def test_nbest(self):
        # Less-naive "N-best" algorithm, much faster (if len(data) is big
        # enough <wink>) than sorting all of data.  However, if we had a max
        # heap instead of a min heap, it could go faster still via
        # heapify'ing all of data (linear time), then doing 10 heappops
        # (10 log-time steps).
        data = [random.randrange(2000) for i in range(1000)]
        heap = data[:10]
        heapify(heap)
        for item in data[10:]:
            if item > heap[0]:  # this gets rarer the longer we run
                heapreplace(heap, item)
        self.assertEqual(list(heapiter(heap)), sorted(data)[-10:])

    def test_heapsort(self):
        # Exercise everything with repeated heapsort checks
        for trial in xrange(100):
            size = random.randrange(50)
            data = [random.randrange(25) for i in range(size)]
            if trial & 1:     # Half of the time, use heapify
                heap = data[:]
                heapify(heap)
            else:             # The rest of the time, use heappush
                heap = []
                for item in data:
                    heappush(heap, item)
            heap_sorted = [heappop(heap) for i in range(size)]
            self.assertEqual(heap_sorted, sorted(data))

    def test_nsmallest(self):
        data = [random.randrange(2000) for i in range(1000)]
        for n in (0, 1, 2, 10, 100, 400, 999, 1000, 1100):
            self.assertEqual(nsmallest(n, data), sorted(data)[:n])

    def test_largest(self):
        data = [random.randrange(2000) for i in range(1000)]
        for n in (0, 1, 2, 10, 100, 400, 999, 1000, 1100):
            self.assertEqual(nlargest(n, data), sorted(data, reverse=True)[:n])

def test_main(verbose=None):
    test_classes = [TestHeap]
    test_support.run_unittest(*test_classes)

    # verify reference counting
    if verbose and hasattr(sys, "gettotalrefcount"):
        import gc
        counts = [None] * 5
        for i in xrange(len(counts)):
            test_support.run_unittest(*test_classes)
            gc.collect()
            counts[i] = sys.gettotalrefcount()
        print counts

if __name__ == "__main__":
    test_main(verbose=True)