summaryrefslogtreecommitdiffstats
path: root/Lib/test/test_bisect.py
blob: 549978d0f7b637f1d1849aaed208d15a62700852 (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
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
import unittest
from test import test_support
from bisect import bisect_right, bisect_left, insort_left, insort_right, insort, bisect

class TestBisect(unittest.TestCase):

    precomputedCases = [
        (bisect_right, [], 1, 0),
        (bisect_right, [1], 0, 0),
        (bisect_right, [1], 1, 1),
        (bisect_right, [1], 2, 1),
        (bisect_right, [1, 1], 0, 0),
        (bisect_right, [1, 1], 1, 2),
        (bisect_right, [1, 1], 2, 2),
        (bisect_right, [1, 1, 1], 0, 0),
        (bisect_right, [1, 1, 1], 1, 3),
        (bisect_right, [1, 1, 1], 2, 3),
        (bisect_right, [1, 1, 1, 1], 0, 0),
        (bisect_right, [1, 1, 1, 1], 1, 4),
        (bisect_right, [1, 1, 1, 1], 2, 4),
        (bisect_right, [1, 2], 0, 0),
        (bisect_right, [1, 2], 1, 1),
        (bisect_right, [1, 2], 1.5, 1),
        (bisect_right, [1, 2], 2, 2),
        (bisect_right, [1, 2], 3, 2),
        (bisect_right, [1, 1, 2, 2], 0, 0),
        (bisect_right, [1, 1, 2, 2], 1, 2),
        (bisect_right, [1, 1, 2, 2], 1.5, 2),
        (bisect_right, [1, 1, 2, 2], 2, 4),
        (bisect_right, [1, 1, 2, 2], 3, 4),
        (bisect_right, [1, 2, 3], 0, 0),
        (bisect_right, [1, 2, 3], 1, 1),
        (bisect_right, [1, 2, 3], 1.5, 1),
        (bisect_right, [1, 2, 3], 2, 2),
        (bisect_right, [1, 2, 3], 2.5, 2),
        (bisect_right, [1, 2, 3], 3, 3),
        (bisect_right, [1, 2, 3], 4, 3),
        (bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 0, 0),
        (bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 1, 1),
        (bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 1.5, 1),
        (bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 2, 3),
        (bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 2.5, 3),
        (bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 3, 6),
        (bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 3.5, 6),
        (bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 4, 10),
        (bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 5, 10),

        (bisect_left, [], 1, 0),
        (bisect_left, [1], 0, 0),
        (bisect_left, [1], 1, 0),
        (bisect_left, [1], 2, 1),
        (bisect_left, [1, 1], 0, 0),
        (bisect_left, [1, 1], 1, 0),
        (bisect_left, [1, 1], 2, 2),
        (bisect_left, [1, 1, 1], 0, 0),
        (bisect_left, [1, 1, 1], 1, 0),
        (bisect_left, [1, 1, 1], 2, 3),
        (bisect_left, [1, 1, 1, 1], 0, 0),
        (bisect_left, [1, 1, 1, 1], 1, 0),
        (bisect_left, [1, 1, 1, 1], 2, 4),
        (bisect_left, [1, 2], 0, 0),
        (bisect_left, [1, 2], 1, 0),
        (bisect_left, [1, 2], 1.5, 1),
        (bisect_left, [1, 2], 2, 1),
        (bisect_left, [1, 2], 3, 2),
        (bisect_left, [1, 1, 2, 2], 0, 0),
        (bisect_left, [1, 1, 2, 2], 1, 0),
        (bisect_left, [1, 1, 2, 2], 1.5, 2),
        (bisect_left, [1, 1, 2, 2], 2, 2),
        (bisect_left, [1, 1, 2, 2], 3, 4),
        (bisect_left, [1, 2, 3], 0, 0),
        (bisect_left, [1, 2, 3], 1, 0),
        (bisect_left, [1, 2, 3], 1.5, 1),
        (bisect_left, [1, 2, 3], 2, 1),
        (bisect_left, [1, 2, 3], 2.5, 2),
        (bisect_left, [1, 2, 3], 3, 2),
        (bisect_left, [1, 2, 3], 4, 3),
        (bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 0, 0),
        (bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 1, 0),
        (bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 1.5, 1),
        (bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 2, 1),
        (bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 2.5, 3),
        (bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 3, 3),
        (bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 3.5, 6),
        (bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 4, 6),
        (bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 5, 10)
    ]

    def test_precomputed(self):
        for func, data, elem, expected in self.precomputedCases:
            self.assertEqual(func(data, elem), expected)

    def test_random(self, n=25):
        from random import randrange
        for i in xrange(n):
            data = [randrange(0, n, 2) for j in xrange(i)]
            data.sort()
            elem = randrange(-1, n+1)
            ip = bisect_left(data, elem)
            if ip < len(data):
                self.failUnless(elem <= data[ip])
            if ip > 0:
                self.failUnless(data[ip-1] < elem)
            ip = bisect_right(data, elem)
            if ip < len(data):
                self.failUnless(elem < data[ip])
            if ip > 0:
                self.failUnless(data[ip-1] <= elem)

    def test_optionalSlicing(self):
        for func, data, elem, expected in self.precomputedCases:
            for lo in xrange(4):
                lo = min(len(data), lo)
                for hi in xrange(3,8):
                    hi = min(len(data), hi)
                    ip = func(data, elem, lo, hi)
                    self.failUnless(lo <= ip <= hi)
                    if func is bisect_left and ip < hi:
                        self.failUnless(elem <= data[ip])
                    if func is bisect_left and ip > lo:
                        self.failUnless(data[ip-1] < elem)
                    if func is bisect_right and ip < hi:
                        self.failUnless(elem < data[ip])
                    if func is bisect_right and ip > lo:
                        self.failUnless(data[ip-1] <= elem)
                    self.assertEqual(ip, max(lo, min(hi, expected)))

    def test_backcompatibility(self):
        self.assertEqual(bisect, bisect_right)

#==============================================================================

class TestInsort(unittest.TestCase):

    def test_vsListSort(self, n=500):
        from random import choice
        digits = "0123456789"
        raw = []
        insorted = []
        for i in range(n):
            digit = choice(digits)
            raw.append(digit)
            if digit in "02468":
                f = insort_left
            else:
                f = insort_right
            f(insorted, digit)
        sorted = raw[:]
        sorted.sort()
        self.assertEqual(sorted, insorted)

    def test_backcompatibility(self):
        self.assertEqual(insort, insort_right)

#==============================================================================

libreftest = """
Example from the Library Reference:  Doc/lib/libbisect.tex

The bisect() function is generally useful for categorizing numeric data.
This example uses bisect() to look up a letter grade for an exam total
(say) based on a set of ordered numeric breakpoints: 85 and up is an `A',
75..84 is a `B', etc.

    >>> grades = "FEDCBA"
    >>> breakpoints = [30, 44, 66, 75, 85]
    >>> from bisect import bisect
    >>> def grade(total):
    ...           return grades[bisect(breakpoints, total)]
    ...
    >>> grade(66)
    'C'
    >>> map(grade, [33, 99, 77, 44, 12, 88])
    ['E', 'A', 'B', 'D', 'F', 'A']

The bisect module can be used with the Queue module to implement
a priority queue (example courtesy of Fredrik Lundh):

>>> import Queue, bisect
>>> class PriorityQueue(Queue.Queue):
...     def _put(self, item):
...         bisect.insort(self.queue, item)
...
>>> queue = PriorityQueue(0)
>>> queue.put((2, "second"))
>>> queue.put((1, "first"))
>>> queue.put((3, "third"))
>>> queue.get()
(1, 'first')
>>> queue.get()
(2, 'second')

"""

#------------------------------------------------------------------------------

__test__ = {'libreftest' : libreftest}

def test_main(verbose=None):
    from test import test_bisect
    test_support.run_unittest(TestBisect, TestInsort)
    test_support.run_doctest(test_bisect, verbose)

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