cpython/Lib/test/test_bisect.py

393 lines
16 KiB
Python

import sys
import unittest
from test.support import import_helper
from collections import UserList
py_bisect = import_helper.import_fresh_module('bisect', blocked=['_bisect'])
c_bisect = import_helper.import_fresh_module('bisect', fresh=['_bisect'])
class Range(object):
"""A trivial range()-like object that has an insert() method."""
def __init__(self, start, stop):
self.start = start
self.stop = stop
self.last_insert = None
def __len__(self):
return self.stop - self.start
def __getitem__(self, idx):
n = self.stop - self.start
if idx < 0:
idx += n
if idx >= n:
raise IndexError(idx)
return self.start + idx
def insert(self, idx, item):
self.last_insert = idx, item
class TestBisect:
def setUp(self):
self.precomputedCases = [
(self.module.bisect_right, [], 1, 0),
(self.module.bisect_right, [1], 0, 0),
(self.module.bisect_right, [1], 1, 1),
(self.module.bisect_right, [1], 2, 1),
(self.module.bisect_right, [1, 1], 0, 0),
(self.module.bisect_right, [1, 1], 1, 2),
(self.module.bisect_right, [1, 1], 2, 2),
(self.module.bisect_right, [1, 1, 1], 0, 0),
(self.module.bisect_right, [1, 1, 1], 1, 3),
(self.module.bisect_right, [1, 1, 1], 2, 3),
(self.module.bisect_right, [1, 1, 1, 1], 0, 0),
(self.module.bisect_right, [1, 1, 1, 1], 1, 4),
(self.module.bisect_right, [1, 1, 1, 1], 2, 4),
(self.module.bisect_right, [1, 2], 0, 0),
(self.module.bisect_right, [1, 2], 1, 1),
(self.module.bisect_right, [1, 2], 1.5, 1),
(self.module.bisect_right, [1, 2], 2, 2),
(self.module.bisect_right, [1, 2], 3, 2),
(self.module.bisect_right, [1, 1, 2, 2], 0, 0),
(self.module.bisect_right, [1, 1, 2, 2], 1, 2),
(self.module.bisect_right, [1, 1, 2, 2], 1.5, 2),
(self.module.bisect_right, [1, 1, 2, 2], 2, 4),
(self.module.bisect_right, [1, 1, 2, 2], 3, 4),
(self.module.bisect_right, [1, 2, 3], 0, 0),
(self.module.bisect_right, [1, 2, 3], 1, 1),
(self.module.bisect_right, [1, 2, 3], 1.5, 1),
(self.module.bisect_right, [1, 2, 3], 2, 2),
(self.module.bisect_right, [1, 2, 3], 2.5, 2),
(self.module.bisect_right, [1, 2, 3], 3, 3),
(self.module.bisect_right, [1, 2, 3], 4, 3),
(self.module.bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 0, 0),
(self.module.bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 1, 1),
(self.module.bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 1.5, 1),
(self.module.bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 2, 3),
(self.module.bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 2.5, 3),
(self.module.bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 3, 6),
(self.module.bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 3.5, 6),
(self.module.bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 4, 10),
(self.module.bisect_right, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 5, 10),
(self.module.bisect_left, [], 1, 0),
(self.module.bisect_left, [1], 0, 0),
(self.module.bisect_left, [1], 1, 0),
(self.module.bisect_left, [1], 2, 1),
(self.module.bisect_left, [1, 1], 0, 0),
(self.module.bisect_left, [1, 1], 1, 0),
(self.module.bisect_left, [1, 1], 2, 2),
(self.module.bisect_left, [1, 1, 1], 0, 0),
(self.module.bisect_left, [1, 1, 1], 1, 0),
(self.module.bisect_left, [1, 1, 1], 2, 3),
(self.module.bisect_left, [1, 1, 1, 1], 0, 0),
(self.module.bisect_left, [1, 1, 1, 1], 1, 0),
(self.module.bisect_left, [1, 1, 1, 1], 2, 4),
(self.module.bisect_left, [1, 2], 0, 0),
(self.module.bisect_left, [1, 2], 1, 0),
(self.module.bisect_left, [1, 2], 1.5, 1),
(self.module.bisect_left, [1, 2], 2, 1),
(self.module.bisect_left, [1, 2], 3, 2),
(self.module.bisect_left, [1, 1, 2, 2], 0, 0),
(self.module.bisect_left, [1, 1, 2, 2], 1, 0),
(self.module.bisect_left, [1, 1, 2, 2], 1.5, 2),
(self.module.bisect_left, [1, 1, 2, 2], 2, 2),
(self.module.bisect_left, [1, 1, 2, 2], 3, 4),
(self.module.bisect_left, [1, 2, 3], 0, 0),
(self.module.bisect_left, [1, 2, 3], 1, 0),
(self.module.bisect_left, [1, 2, 3], 1.5, 1),
(self.module.bisect_left, [1, 2, 3], 2, 1),
(self.module.bisect_left, [1, 2, 3], 2.5, 2),
(self.module.bisect_left, [1, 2, 3], 3, 2),
(self.module.bisect_left, [1, 2, 3], 4, 3),
(self.module.bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 0, 0),
(self.module.bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 1, 0),
(self.module.bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 1.5, 1),
(self.module.bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 2, 1),
(self.module.bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 2.5, 3),
(self.module.bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 3, 3),
(self.module.bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 3.5, 6),
(self.module.bisect_left, [1, 2, 2, 3, 3, 3, 4, 4, 4, 4], 4, 6),
(self.module.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)
self.assertEqual(func(UserList(data), elem), expected)
def test_negative_lo(self):
# Issue 3301
mod = self.module
self.assertRaises(ValueError, mod.bisect_left, [1, 2, 3], 5, -1, 3)
self.assertRaises(ValueError, mod.bisect_right, [1, 2, 3], 5, -1, 3)
self.assertRaises(ValueError, mod.insort_left, [1, 2, 3], 5, -1, 3)
self.assertRaises(ValueError, mod.insort_right, [1, 2, 3], 5, -1, 3)
def test_large_range(self):
# Issue 13496
mod = self.module
n = sys.maxsize
data = range(n-1)
self.assertEqual(mod.bisect_left(data, n-3), n-3)
self.assertEqual(mod.bisect_right(data, n-3), n-2)
self.assertEqual(mod.bisect_left(data, n-3, n-10, n), n-3)
self.assertEqual(mod.bisect_right(data, n-3, n-10, n), n-2)
def test_large_pyrange(self):
# Same as above, but without C-imposed limits on range() parameters
mod = self.module
n = sys.maxsize
data = Range(0, n-1)
self.assertEqual(mod.bisect_left(data, n-3), n-3)
self.assertEqual(mod.bisect_right(data, n-3), n-2)
self.assertEqual(mod.bisect_left(data, n-3, n-10, n), n-3)
self.assertEqual(mod.bisect_right(data, n-3, n-10, n), n-2)
x = n - 100
mod.insort_left(data, x, x - 50, x + 50)
self.assertEqual(data.last_insert, (x, x))
x = n - 200
mod.insort_right(data, x, x - 50, x + 50)
self.assertEqual(data.last_insert, (x + 1, x))
def test_random(self, n=25):
from random import randrange
for i in range(n):
data = [randrange(0, n, 2) for j in range(i)]
data.sort()
elem = randrange(-1, n+1)
ip = self.module.bisect_left(data, elem)
if ip < len(data):
self.assertTrue(elem <= data[ip])
if ip > 0:
self.assertTrue(data[ip-1] < elem)
ip = self.module.bisect_right(data, elem)
if ip < len(data):
self.assertTrue(elem < data[ip])
if ip > 0:
self.assertTrue(data[ip-1] <= elem)
def test_optionalSlicing(self):
for func, data, elem, expected in self.precomputedCases:
for lo in range(4):
lo = min(len(data), lo)
for hi in range(3,8):
hi = min(len(data), hi)
ip = func(data, elem, lo, hi)
self.assertTrue(lo <= ip <= hi)
if func is self.module.bisect_left and ip < hi:
self.assertTrue(elem <= data[ip])
if func is self.module.bisect_left and ip > lo:
self.assertTrue(data[ip-1] < elem)
if func is self.module.bisect_right and ip < hi:
self.assertTrue(elem < data[ip])
if func is self.module.bisect_right and ip > lo:
self.assertTrue(data[ip-1] <= elem)
self.assertEqual(ip, max(lo, min(hi, expected)))
def test_backcompatibility(self):
self.assertEqual(self.module.bisect, self.module.bisect_right)
def test_keyword_args(self):
data = [10, 20, 30, 40, 50]
self.assertEqual(self.module.bisect_left(a=data, x=25, lo=1, hi=3), 2)
self.assertEqual(self.module.bisect_right(a=data, x=25, lo=1, hi=3), 2)
self.assertEqual(self.module.bisect(a=data, x=25, lo=1, hi=3), 2)
self.module.insort_left(a=data, x=25, lo=1, hi=3)
self.module.insort_right(a=data, x=25, lo=1, hi=3)
self.module.insort(a=data, x=25, lo=1, hi=3)
self.assertEqual(data, [10, 20, 25, 25, 25, 30, 40, 50])
def test_lookups_with_key_function(self):
mod = self.module
# Invariant: Index with a keyfunc on an array
# should match the index on an array where
# key function has already been applied.
keyfunc = abs
arr = sorted([2, -4, 6, 8, -10], key=keyfunc)
precomputed_arr = list(map(keyfunc, arr))
for x in precomputed_arr:
self.assertEqual(
mod.bisect_left(arr, x, key=keyfunc),
mod.bisect_left(precomputed_arr, x)
)
self.assertEqual(
mod.bisect_right(arr, x, key=keyfunc),
mod.bisect_right(precomputed_arr, x)
)
keyfunc = str.casefold
arr = sorted('aBcDeEfgHhiIiij', key=keyfunc)
precomputed_arr = list(map(keyfunc, arr))
for x in precomputed_arr:
self.assertEqual(
mod.bisect_left(arr, x, key=keyfunc),
mod.bisect_left(precomputed_arr, x)
)
self.assertEqual(
mod.bisect_right(arr, x, key=keyfunc),
mod.bisect_right(precomputed_arr, x)
)
def test_insort(self):
from random import shuffle
mod = self.module
# Invariant: As random elements are inserted in
# a target list, the targetlist remains sorted.
keyfunc = abs
data = list(range(-10, 11)) + list(range(-20, 20, 2))
shuffle(data)
target = []
for x in data:
mod.insort_left(target, x, key=keyfunc)
self.assertEqual(
sorted(target, key=keyfunc),
target
)
target = []
for x in data:
mod.insort_right(target, x, key=keyfunc)
self.assertEqual(
sorted(target, key=keyfunc),
target
)
def test_insort_keynotNone(self):
x = []
y = {"a": 2, "b": 1}
for f in (self.module.insort_left, self.module.insort_right):
self.assertRaises(TypeError, f, x, y, key = "b")
class TestBisectPython(TestBisect, unittest.TestCase):
module = py_bisect
class TestBisectC(TestBisect, unittest.TestCase):
module = c_bisect
#==============================================================================
class TestInsort:
def test_vsBuiltinSort(self, n=500):
from random import choice
for insorted in (list(), UserList()):
for i in range(n):
digit = choice("0123456789")
if digit in "02468":
f = self.module.insort_left
else:
f = self.module.insort_right
f(insorted, digit)
self.assertEqual(sorted(insorted), insorted)
def test_backcompatibility(self):
self.assertEqual(self.module.insort, self.module.insort_right)
def test_listDerived(self):
class List(list):
data = []
def insert(self, index, item):
self.data.insert(index, item)
lst = List()
self.module.insort_left(lst, 10)
self.module.insort_right(lst, 5)
self.assertEqual([5, 10], lst.data)
class TestInsortPython(TestInsort, unittest.TestCase):
module = py_bisect
class TestInsortC(TestInsort, unittest.TestCase):
module = c_bisect
#==============================================================================
class LenOnly:
"Dummy sequence class defining __len__ but not __getitem__."
def __len__(self):
return 10
class GetOnly:
"Dummy sequence class defining __getitem__ but not __len__."
def __getitem__(self, ndx):
return 10
class CmpErr:
"Dummy element that always raises an error during comparison"
def __lt__(self, other):
raise ZeroDivisionError
__gt__ = __lt__
__le__ = __lt__
__ge__ = __lt__
__eq__ = __lt__
__ne__ = __lt__
class TestErrorHandling:
def test_non_sequence(self):
for f in (self.module.bisect_left, self.module.bisect_right,
self.module.insort_left, self.module.insort_right):
self.assertRaises(TypeError, f, 10, 10)
def test_len_only(self):
for f in (self.module.bisect_left, self.module.bisect_right,
self.module.insort_left, self.module.insort_right):
self.assertRaises(TypeError, f, LenOnly(), 10)
def test_get_only(self):
for f in (self.module.bisect_left, self.module.bisect_right,
self.module.insort_left, self.module.insort_right):
self.assertRaises(TypeError, f, GetOnly(), 10)
def test_cmp_err(self):
seq = [CmpErr(), CmpErr(), CmpErr()]
for f in (self.module.bisect_left, self.module.bisect_right,
self.module.insort_left, self.module.insort_right):
self.assertRaises(ZeroDivisionError, f, seq, 10)
def test_arg_parsing(self):
for f in (self.module.bisect_left, self.module.bisect_right,
self.module.insort_left, self.module.insort_right):
self.assertRaises(TypeError, f, 10)
class TestErrorHandlingPython(TestErrorHandling, unittest.TestCase):
module = py_bisect
class TestErrorHandlingC(TestErrorHandling, unittest.TestCase):
module = c_bisect
#==============================================================================
class TestDocExample:
def test_grades(self):
def grade(score, breakpoints=[60, 70, 80, 90], grades='FDCBA'):
i = self.module.bisect(breakpoints, score)
return grades[i]
result = [grade(score) for score in [33, 99, 77, 70, 89, 90, 100]]
self.assertEqual(result, ['F', 'A', 'C', 'C', 'B', 'A', 'A'])
def test_colors(self):
data = [('red', 5), ('blue', 1), ('yellow', 8), ('black', 0)]
data.sort(key=lambda r: r[1])
keys = [r[1] for r in data]
bisect_left = self.module.bisect_left
self.assertEqual(data[bisect_left(keys, 0)], ('black', 0))
self.assertEqual(data[bisect_left(keys, 1)], ('blue', 1))
self.assertEqual(data[bisect_left(keys, 5)], ('red', 5))
self.assertEqual(data[bisect_left(keys, 8)], ('yellow', 8))
class TestDocExamplePython(TestDocExample, unittest.TestCase):
module = py_bisect
class TestDocExampleC(TestDocExample, unittest.TestCase):
module = c_bisect
#------------------------------------------------------------------------------
if __name__ == "__main__":
unittest.main()