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Kirill Smelkov
cpython
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47ed1c10
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47ed1c10
authored
Aug 07, 2010
by
Raymond Hettinger
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Backport doc updates for the bisect module
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2866933c
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Doc/library/bisect.rst
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Doc/library/bisect.rst
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47ed1c10
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@@ -14,6 +14,8 @@ approach. The module is called :mod:`bisect` because it uses a basic bisection
algorithm to do its work. The source code may be most useful as a working
example of the algorithm (the boundary conditions are already right!).
.. versionadded:: 2.1
The following functions are provided:
...
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@@ -26,21 +28,13 @@ The following functions are provided:
existing entries. The return value is suitable for use as the first parameter
to ``list.insert()``. This assumes that *list* is already sorted.
.. versionadded:: 2.1
.. function:: bisect_right(list, item[, lo[, hi]])
.. function:: bisect(list, item[, lo[, hi]])
Similar to :func:`bisect_left`, but returns an insertion point which comes after
(to the right of) any existing entries of *item* in *list*.
.. versionadded:: 2.1
.. function:: bisect(...)
Alias for :func:`bisect_right`.
.. function:: insort_left(list, item[, lo[, hi]])
...
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@@ -48,24 +42,62 @@ The following functions are provided:
``list.insert(bisect.bisect_left(list, item, lo, hi), item)``. This assumes
that *list* is already sorted.
.. versionadded:: 2.1
Also note that while the fast search step is O(log n), the slower insertion
step is O(n), so the overall operation is slow.
.. function:: insort_right(list, item[, lo[, hi]])
insort(a, x, lo=0, hi=len(a))
Similar to :func:`insort_left`, but inserting *item* in *list* after any
existing entries of *item*.
.. versionadded:: 2.1
.. function:: insort(...)
Alias for :func:`insort_right`.
Examples
--------
Also note that while the fast search step is O(log n), the slower insertion
step is O(n), so the overall operation is slow.
Searching Sorted Lists
----------------------
The above :func:`bisect` functions are useful for finding insertion points, but
can be tricky or awkward to use for common searching tasks. The following three
functions show how to transform them into the standard lookups for sorted
lists::
def find(a, key):
'''Find leftmost item exact equal to the key.
Raise ValueError if no such item exists.
'''
i = bisect_left(a, key)
if i < len(a) and a[i] == key:
return a[i]
raise ValueError('No item found with key equal to: %r' % (key,))
def find_le(a, key):
'''Find largest item less-than or equal to key.
Raise ValueError if no such item exists.
If multiple keys are equal, return the leftmost.
'''
i = bisect_left(a, key)
if i < len(a) and a[i] == key:
return a[i]
if i == 0:
raise ValueError('No item found with key at or below: %r' % (key,))
return a[i-1]
def find_ge(a, key):
'''Find smallest item greater-than or equal to key.
Raise ValueError if no such item exists.
If multiple keys are equal, return the leftmost.
'''
i = bisect_left(a, key)
if i == len(a):
raise ValueError('No item found with key at or above: %r' % (key,))
return a[i]
Other Examples
--------------
.. _bisect-example:
...
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@@ -104,3 +136,10 @@ of the record in question::
('red', 5)
>>> data[bisect_left(keys, 8)]
('yellow', 8)
.. seealso::
`SortedCollection recipe
<http://code.activestate.com/recipes/577197-sortedcollection/>`_ that
encapsulates precomputed keys, allowing straight-forward insertion and
searching using a *key* function.
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