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author | Raymond Hettinger <python@rcn.com> | 2010-08-07 21:55:06 (GMT) |
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committer | Raymond Hettinger <python@rcn.com> | 2010-08-07 21:55:06 (GMT) |
commit | 47ed1c10e7580c49b7d4a5b0cbbafcaf5c5239e1 (patch) | |
tree | 7c245eb23bf8443433ef9559fa70e91b85600a09 | |
parent | 2866933cd63dd32ba2a0ce7f888d765265636b41 (diff) | |
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Backport doc updates for the bisect module
-rw-r--r-- | Doc/library/bisect.rst | 81 |
1 files changed, 60 insertions, 21 deletions
diff --git a/Doc/library/bisect.rst b/Doc/library/bisect.rst index eb32354..930b3fd 100644 --- a/Doc/library/bisect.rst +++ b/Doc/library/bisect.rst @@ -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: @@ -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]]) @@ -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: @@ -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. |