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Update Lib/operator.py and add Lib/heapq.py from cpython
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"""Heap queue algorithm (a.k.a. priority queue).
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Heaps are arrays for which a[k] <= a[2*k+1] and a[k] <= a[2*k+2] for
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all k, counting elements from 0. For the sake of comparison,
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non-existing elements are considered to be infinite. The interesting
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property of a heap is that a[0] is always its smallest element.
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Usage:
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heap = [] # creates an empty heap
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heappush(heap, item) # pushes a new item on the heap
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item = heappop(heap) # pops the smallest item from the heap
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item = heap[0] # smallest item on the heap without popping it
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heapify(x) # transforms list into a heap, in-place, in linear time
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item = heapreplace(heap, item) # pops and returns smallest item, and adds
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# new item; the heap size is unchanged
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Our API differs from textbook heap algorithms as follows:
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- We use 0-based indexing. This makes the relationship between the
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index for a node and the indexes for its children slightly less
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obvious, but is more suitable since Python uses 0-based indexing.
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- Our heappop() method returns the smallest item, not the largest.
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These two make it possible to view the heap as a regular Python list
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without surprises: heap[0] is the smallest item, and heap.sort()
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maintains the heap invariant!
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"""
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# Original code by Kevin O'Connor, augmented by Tim Peters and Raymond Hettinger
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__about__ = """Heap queues
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[explanation by François Pinard]
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Heaps are arrays for which a[k] <= a[2*k+1] and a[k] <= a[2*k+2] for
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all k, counting elements from 0. For the sake of comparison,
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non-existing elements are considered to be infinite. The interesting
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property of a heap is that a[0] is always its smallest element.
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The strange invariant above is meant to be an efficient memory
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representation for a tournament. The numbers below are `k', not a[k]:
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0
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1 2
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3 4 5 6
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7 8 9 10 11 12 13 14
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15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
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In the tree above, each cell `k' is topping `2*k+1' and `2*k+2'. In
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a usual binary tournament we see in sports, each cell is the winner
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over the two cells it tops, and we can trace the winner down the tree
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to see all opponents s/he had. However, in many computer applications
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of such tournaments, we do not need to trace the history of a winner.
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To be more memory efficient, when a winner is promoted, we try to
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replace it by something else at a lower level, and the rule becomes
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that a cell and the two cells it tops contain three different items,
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but the top cell "wins" over the two topped cells.
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If this heap invariant is protected at all time, index 0 is clearly
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the overall winner. The simplest algorithmic way to remove it and
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find the "next" winner is to move some loser (let's say cell 30 in the
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diagram above) into the 0 position, and then percolate this new 0 down
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the tree, exchanging values, until the invariant is re-established.
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This is clearly logarithmic on the total number of items in the tree.
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By iterating over all items, you get an O(n ln n) sort.
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A nice feature of this sort is that you can efficiently insert new
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items while the sort is going on, provided that the inserted items are
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not "better" than the last 0'th element you extracted. This is
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especially useful in simulation contexts, where the tree holds all
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incoming events, and the "win" condition means the smallest scheduled
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time. When an event schedule other events for execution, they are
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scheduled into the future, so they can easily go into the heap. So, a
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heap is a good structure for implementing schedulers (this is what I
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used for my MIDI sequencer :-).
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Various structures for implementing schedulers have been extensively
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studied, and heaps are good for this, as they are reasonably speedy,
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the speed is almost constant, and the worst case is not much different
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than the average case. However, there are other representations which
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are more efficient overall, yet the worst cases might be terrible.
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Heaps are also very useful in big disk sorts. You most probably all
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know that a big sort implies producing "runs" (which are pre-sorted
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sequences, which size is usually related to the amount of CPU memory),
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followed by a merging passes for these runs, which merging is often
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very cleverly organised[1]. It is very important that the initial
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sort produces the longest runs possible. Tournaments are a good way
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to that. If, using all the memory available to hold a tournament, you
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replace and percolate items that happen to fit the current run, you'll
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produce runs which are twice the size of the memory for random input,
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and much better for input fuzzily ordered.
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Moreover, if you output the 0'th item on disk and get an input which
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may not fit in the current tournament (because the value "wins" over
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the last output value), it cannot fit in the heap, so the size of the
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heap decreases. The freed memory could be cleverly reused immediately
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for progressively building a second heap, which grows at exactly the
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same rate the first heap is melting. When the first heap completely
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vanishes, you switch heaps and start a new run. Clever and quite
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effective!
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In a word, heaps are useful memory structures to know. I use them in
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a few applications, and I think it is good to keep a `heap' module
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around. :-)
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--------------------
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[1] The disk balancing algorithms which are current, nowadays, are
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more annoying than clever, and this is a consequence of the seeking
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capabilities of the disks. On devices which cannot seek, like big
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tape drives, the story was quite different, and one had to be very
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clever to ensure (far in advance) that each tape movement will be the
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most effective possible (that is, will best participate at
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"progressing" the merge). Some tapes were even able to read
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backwards, and this was also used to avoid the rewinding time.
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Believe me, real good tape sorts were quite spectacular to watch!
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From all times, sorting has always been a Great Art! :-)
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"""
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__all__ = ['heappush', 'heappop', 'heapify', 'heapreplace', 'merge',
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'nlargest', 'nsmallest', 'heappushpop']
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def heappush(heap, item):
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"""Push item onto heap, maintaining the heap invariant."""
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heap.append(item)
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_siftdown(heap, 0, len(heap)-1)
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def heappop(heap):
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"""Pop the smallest item off the heap, maintaining the heap invariant."""
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lastelt = heap.pop() # raises appropriate IndexError if heap is empty
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if heap:
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returnitem = heap[0]
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heap[0] = lastelt
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_siftup(heap, 0)
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return returnitem
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return lastelt
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def heapreplace(heap, item):
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"""Pop and return the current smallest value, and add the new item.
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This is more efficient than heappop() followed by heappush(), and can be
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more appropriate when using a fixed-size heap. Note that the value
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returned may be larger than item! That constrains reasonable uses of
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this routine unless written as part of a conditional replacement:
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if item > heap[0]:
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item = heapreplace(heap, item)
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"""
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returnitem = heap[0] # raises appropriate IndexError if heap is empty
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heap[0] = item
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_siftup(heap, 0)
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return returnitem
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def heappushpop(heap, item):
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"""Fast version of a heappush followed by a heappop."""
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if heap and heap[0] < item:
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item, heap[0] = heap[0], item
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_siftup(heap, 0)
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return item
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def heapify(x):
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"""Transform list into a heap, in-place, in O(len(x)) time."""
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n = len(x)
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# Transform bottom-up. The largest index there's any point to looking at
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# is the largest with a child index in-range, so must have 2*i + 1 < n,
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# or i < (n-1)/2. If n is even = 2*j, this is (2*j-1)/2 = j-1/2 so
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# j-1 is the largest, which is n//2 - 1. If n is odd = 2*j+1, this is
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# (2*j+1-1)/2 = j so j-1 is the largest, and that's again n//2-1.
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for i in reversed(range(n//2)):
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_siftup(x, i)
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def _heappop_max(heap):
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"""Maxheap version of a heappop."""
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lastelt = heap.pop() # raises appropriate IndexError if heap is empty
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if heap:
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returnitem = heap[0]
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heap[0] = lastelt
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_siftup_max(heap, 0)
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return returnitem
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return lastelt
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def _heapreplace_max(heap, item):
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"""Maxheap version of a heappop followed by a heappush."""
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returnitem = heap[0] # raises appropriate IndexError if heap is empty
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heap[0] = item
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_siftup_max(heap, 0)
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return returnitem
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def _heapify_max(x):
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"""Transform list into a maxheap, in-place, in O(len(x)) time."""
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n = len(x)
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for i in reversed(range(n//2)):
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_siftup_max(x, i)
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# 'heap' is a heap at all indices >= startpos, except possibly for pos. pos
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# is the index of a leaf with a possibly out-of-order value. Restore the
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# heap invariant.
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def _siftdown(heap, startpos, pos):
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newitem = heap[pos]
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# Follow the path to the root, moving parents down until finding a place
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# newitem fits.
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while pos > startpos:
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parentpos = (pos - 1) >> 1
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parent = heap[parentpos]
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if newitem < parent:
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heap[pos] = parent
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pos = parentpos
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continue
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break
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heap[pos] = newitem
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# The child indices of heap index pos are already heaps, and we want to make
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# a heap at index pos too. We do this by bubbling the smaller child of
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# pos up (and so on with that child's children, etc) until hitting a leaf,
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# then using _siftdown to move the oddball originally at index pos into place.
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#
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# We *could* break out of the loop as soon as we find a pos where newitem <=
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# both its children, but turns out that's not a good idea, and despite that
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# many books write the algorithm that way. During a heap pop, the last array
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# element is sifted in, and that tends to be large, so that comparing it
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# against values starting from the root usually doesn't pay (= usually doesn't
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# get us out of the loop early). See Knuth, Volume 3, where this is
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# explained and quantified in an exercise.
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#
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# Cutting the # of comparisons is important, since these routines have no
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# way to extract "the priority" from an array element, so that intelligence
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# is likely to be hiding in custom comparison methods, or in array elements
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# storing (priority, record) tuples. Comparisons are thus potentially
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# expensive.
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#
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# On random arrays of length 1000, making this change cut the number of
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# comparisons made by heapify() a little, and those made by exhaustive
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# heappop() a lot, in accord with theory. Here are typical results from 3
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# runs (3 just to demonstrate how small the variance is):
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#
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# Compares needed by heapify Compares needed by 1000 heappops
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# -------------------------- --------------------------------
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# 1837 cut to 1663 14996 cut to 8680
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# 1855 cut to 1659 14966 cut to 8678
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# 1847 cut to 1660 15024 cut to 8703
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#
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# Building the heap by using heappush() 1000 times instead required
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# 2198, 2148, and 2219 compares: heapify() is more efficient, when
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# you can use it.
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#
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# The total compares needed by list.sort() on the same lists were 8627,
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# 8627, and 8632 (this should be compared to the sum of heapify() and
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# heappop() compares): list.sort() is (unsurprisingly!) more efficient
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# for sorting.
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def _siftup(heap, pos):
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endpos = len(heap)
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startpos = pos
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newitem = heap[pos]
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# Bubble up the smaller child until hitting a leaf.
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childpos = 2*pos + 1 # leftmost child position
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while childpos < endpos:
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# Set childpos to index of smaller child.
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rightpos = childpos + 1
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if rightpos < endpos and not heap[childpos] < heap[rightpos]:
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childpos = rightpos
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# Move the smaller child up.
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heap[pos] = heap[childpos]
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pos = childpos
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childpos = 2*pos + 1
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# The leaf at pos is empty now. Put newitem there, and bubble it up
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# to its final resting place (by sifting its parents down).
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heap[pos] = newitem
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_siftdown(heap, startpos, pos)
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def _siftdown_max(heap, startpos, pos):
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'Maxheap variant of _siftdown'
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newitem = heap[pos]
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# Follow the path to the root, moving parents down until finding a place
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# newitem fits.
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while pos > startpos:
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parentpos = (pos - 1) >> 1
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parent = heap[parentpos]
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if parent < newitem:
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heap[pos] = parent
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pos = parentpos
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continue
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break
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heap[pos] = newitem
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def _siftup_max(heap, pos):
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'Maxheap variant of _siftup'
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endpos = len(heap)
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startpos = pos
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newitem = heap[pos]
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# Bubble up the larger child until hitting a leaf.
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childpos = 2*pos + 1 # leftmost child position
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while childpos < endpos:
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# Set childpos to index of larger child.
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rightpos = childpos + 1
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if rightpos < endpos and not heap[rightpos] < heap[childpos]:
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childpos = rightpos
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# Move the larger child up.
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heap[pos] = heap[childpos]
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pos = childpos
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childpos = 2*pos + 1
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# The leaf at pos is empty now. Put newitem there, and bubble it up
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# to its final resting place (by sifting its parents down).
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heap[pos] = newitem
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_siftdown_max(heap, startpos, pos)
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def merge(*iterables, key=None, reverse=False):
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'''Merge multiple sorted inputs into a single sorted output.
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Similar to sorted(itertools.chain(*iterables)) but returns a generator,
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does not pull the data into memory all at once, and assumes that each of
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the input streams is already sorted (smallest to largest).
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>>> list(merge([1,3,5,7], [0,2,4,8], [5,10,15,20], [], [25]))
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[0, 1, 2, 3, 4, 5, 5, 7, 8, 10, 15, 20, 25]
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If *key* is not None, applies a key function to each element to determine
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its sort order.
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>>> list(merge(['dog', 'horse'], ['cat', 'fish', 'kangaroo'], key=len))
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['dog', 'cat', 'fish', 'horse', 'kangaroo']
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'''
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h = []
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h_append = h.append
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if reverse:
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_heapify = _heapify_max
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_heappop = _heappop_max
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_heapreplace = _heapreplace_max
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direction = -1
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else:
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_heapify = heapify
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_heappop = heappop
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_heapreplace = heapreplace
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direction = 1
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if key is None:
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for order, it in enumerate(map(iter, iterables)):
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try:
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next = it.__next__
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h_append([next(), order * direction, next])
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except StopIteration:
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pass
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_heapify(h)
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while len(h) > 1:
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try:
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while True:
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value, order, next = s = h[0]
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yield value
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s[0] = next() # raises StopIteration when exhausted
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_heapreplace(h, s) # restore heap condition
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except StopIteration:
|
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_heappop(h) # remove empty iterator
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if h:
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||||
# fast case when only a single iterator remains
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value, order, next = h[0]
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yield value
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yield from next.__self__
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return
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for order, it in enumerate(map(iter, iterables)):
|
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try:
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next = it.__next__
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value = next()
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h_append([key(value), order * direction, value, next])
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except StopIteration:
|
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pass
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_heapify(h)
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while len(h) > 1:
|
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try:
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||||
while True:
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||||
key_value, order, value, next = s = h[0]
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yield value
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value = next()
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||||
s[0] = key(value)
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s[2] = value
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_heapreplace(h, s)
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||||
except StopIteration:
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_heappop(h)
|
||||
if h:
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||||
key_value, order, value, next = h[0]
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yield value
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yield from next.__self__
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# Algorithm notes for nlargest() and nsmallest()
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# ==============================================
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#
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# Make a single pass over the data while keeping the k most extreme values
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# in a heap. Memory consumption is limited to keeping k values in a list.
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#
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# Measured performance for random inputs:
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#
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# number of comparisons
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# n inputs k-extreme values (average of 5 trials) % more than min()
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# ------------- ---------------- --------------------- -----------------
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# 1,000 100 3,317 231.7%
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# 10,000 100 14,046 40.5%
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# 100,000 100 105,749 5.7%
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# 1,000,000 100 1,007,751 0.8%
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# 10,000,000 100 10,009,401 0.1%
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#
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# Theoretical number of comparisons for k smallest of n random inputs:
|
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#
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# Step Comparisons Action
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# ---- -------------------------- ---------------------------
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# 1 1.66 * k heapify the first k-inputs
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# 2 n - k compare remaining elements to top of heap
|
||||
# 3 k * (1 + lg2(k)) * ln(n/k) replace the topmost value on the heap
|
||||
# 4 k * lg2(k) - (k/2) final sort of the k most extreme values
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#
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||||
# Combining and simplifying for a rough estimate gives:
|
||||
#
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# comparisons = n + k * (log(k, 2) * log(n/k) + log(k, 2) + log(n/k))
|
||||
#
|
||||
# Computing the number of comparisons for step 3:
|
||||
# -----------------------------------------------
|
||||
# * For the i-th new value from the iterable, the probability of being in the
|
||||
# k most extreme values is k/i. For example, the probability of the 101st
|
||||
# value seen being in the 100 most extreme values is 100/101.
|
||||
# * If the value is a new extreme value, the cost of inserting it into the
|
||||
# heap is 1 + log(k, 2).
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||||
# * The probability times the cost gives:
|
||||
# (k/i) * (1 + log(k, 2))
|
||||
# * Summing across the remaining n-k elements gives:
|
||||
# sum((k/i) * (1 + log(k, 2)) for i in range(k+1, n+1))
|
||||
# * This reduces to:
|
||||
# (H(n) - H(k)) * k * (1 + log(k, 2))
|
||||
# * Where H(n) is the n-th harmonic number estimated by:
|
||||
# gamma = 0.5772156649
|
||||
# H(n) = log(n, e) + gamma + 1 / (2 * n)
|
||||
# http://en.wikipedia.org/wiki/Harmonic_series_(mathematics)#Rate_of_divergence
|
||||
# * Substituting the H(n) formula:
|
||||
# comparisons = k * (1 + log(k, 2)) * (log(n/k, e) + (1/n - 1/k) / 2)
|
||||
#
|
||||
# Worst-case for step 3:
|
||||
# ----------------------
|
||||
# In the worst case, the input data is reversed sorted so that every new element
|
||||
# must be inserted in the heap:
|
||||
#
|
||||
# comparisons = 1.66 * k + log(k, 2) * (n - k)
|
||||
#
|
||||
# Alternative Algorithms
|
||||
# ----------------------
|
||||
# Other algorithms were not used because they:
|
||||
# 1) Took much more auxiliary memory,
|
||||
# 2) Made multiple passes over the data.
|
||||
# 3) Made more comparisons in common cases (small k, large n, semi-random input).
|
||||
# See the more detailed comparison of approach at:
|
||||
# http://code.activestate.com/recipes/577573-compare-algorithms-for-heapqsmallest
|
||||
|
||||
def nsmallest(n, iterable, key=None):
|
||||
"""Find the n smallest elements in a dataset.
|
||||
|
||||
Equivalent to: sorted(iterable, key=key)[:n]
|
||||
"""
|
||||
|
||||
# Short-cut for n==1 is to use min()
|
||||
if n == 1:
|
||||
it = iter(iterable)
|
||||
sentinel = object()
|
||||
result = min(it, default=sentinel, key=key)
|
||||
return [] if result is sentinel else [result]
|
||||
|
||||
# When n>=size, it's faster to use sorted()
|
||||
try:
|
||||
size = len(iterable)
|
||||
except (TypeError, AttributeError):
|
||||
pass
|
||||
else:
|
||||
if n >= size:
|
||||
return sorted(iterable, key=key)[:n]
|
||||
|
||||
# When key is none, use simpler decoration
|
||||
if key is None:
|
||||
it = iter(iterable)
|
||||
# put the range(n) first so that zip() doesn't
|
||||
# consume one too many elements from the iterator
|
||||
result = [(elem, i) for i, elem in zip(range(n), it)]
|
||||
if not result:
|
||||
return result
|
||||
_heapify_max(result)
|
||||
top = result[0][0]
|
||||
order = n
|
||||
_heapreplace = _heapreplace_max
|
||||
for elem in it:
|
||||
if elem < top:
|
||||
_heapreplace(result, (elem, order))
|
||||
top, _order = result[0]
|
||||
order += 1
|
||||
result.sort()
|
||||
return [elem for (elem, order) in result]
|
||||
|
||||
# General case, slowest method
|
||||
it = iter(iterable)
|
||||
result = [(key(elem), i, elem) for i, elem in zip(range(n), it)]
|
||||
if not result:
|
||||
return result
|
||||
_heapify_max(result)
|
||||
top = result[0][0]
|
||||
order = n
|
||||
_heapreplace = _heapreplace_max
|
||||
for elem in it:
|
||||
k = key(elem)
|
||||
if k < top:
|
||||
_heapreplace(result, (k, order, elem))
|
||||
top, _order, _elem = result[0]
|
||||
order += 1
|
||||
result.sort()
|
||||
return [elem for (k, order, elem) in result]
|
||||
|
||||
def nlargest(n, iterable, key=None):
|
||||
"""Find the n largest elements in a dataset.
|
||||
|
||||
Equivalent to: sorted(iterable, key=key, reverse=True)[:n]
|
||||
"""
|
||||
|
||||
# Short-cut for n==1 is to use max()
|
||||
if n == 1:
|
||||
it = iter(iterable)
|
||||
sentinel = object()
|
||||
result = max(it, default=sentinel, key=key)
|
||||
return [] if result is sentinel else [result]
|
||||
|
||||
# When n>=size, it's faster to use sorted()
|
||||
try:
|
||||
size = len(iterable)
|
||||
except (TypeError, AttributeError):
|
||||
pass
|
||||
else:
|
||||
if n >= size:
|
||||
return sorted(iterable, key=key, reverse=True)[:n]
|
||||
|
||||
# When key is none, use simpler decoration
|
||||
if key is None:
|
||||
it = iter(iterable)
|
||||
result = [(elem, i) for i, elem in zip(range(0, -n, -1), it)]
|
||||
if not result:
|
||||
return result
|
||||
heapify(result)
|
||||
top = result[0][0]
|
||||
order = -n
|
||||
_heapreplace = heapreplace
|
||||
for elem in it:
|
||||
if top < elem:
|
||||
_heapreplace(result, (elem, order))
|
||||
top, _order = result[0]
|
||||
order -= 1
|
||||
result.sort(reverse=True)
|
||||
return [elem for (elem, order) in result]
|
||||
|
||||
# General case, slowest method
|
||||
it = iter(iterable)
|
||||
result = [(key(elem), i, elem) for i, elem in zip(range(0, -n, -1), it)]
|
||||
if not result:
|
||||
return result
|
||||
heapify(result)
|
||||
top = result[0][0]
|
||||
order = -n
|
||||
_heapreplace = heapreplace
|
||||
for elem in it:
|
||||
k = key(elem)
|
||||
if top < k:
|
||||
_heapreplace(result, (k, order, elem))
|
||||
top, _order, _elem = result[0]
|
||||
order -= 1
|
||||
result.sort(reverse=True)
|
||||
return [elem for (k, order, elem) in result]
|
||||
|
||||
# If available, use C implementation
|
||||
try:
|
||||
from _heapq import *
|
||||
except ImportError:
|
||||
pass
|
||||
try:
|
||||
from _heapq import _heapreplace_max
|
||||
except ImportError:
|
||||
pass
|
||||
try:
|
||||
from _heapq import _heapify_max
|
||||
except ImportError:
|
||||
pass
|
||||
try:
|
||||
from _heapq import _heappop_max
|
||||
except ImportError:
|
||||
pass
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
|
||||
import doctest
|
||||
print(doctest.testmod())
|
||||
+452
-3
@@ -1,15 +1,464 @@
|
||||
"""
|
||||
Operator Interface
|
||||
|
||||
This module exports a set of functions corresponding to the intrinsic
|
||||
operators of Python. For example, operator.add(x, y) is equivalent
|
||||
to the expression x+y. The function names are those used for special
|
||||
methods; variants without leading and trailing '__' are also provided
|
||||
for convenience.
|
||||
|
||||
This is the pure Python implementation of the module.
|
||||
"""
|
||||
|
||||
__all__ = ['abs', 'add', 'and_', 'attrgetter', 'concat', 'contains', 'countOf',
|
||||
'delitem', 'eq', 'floordiv', 'ge', 'getitem', 'gt', 'iadd', 'iand',
|
||||
'iconcat', 'ifloordiv', 'ilshift', 'imatmul', 'imod', 'imul',
|
||||
'index', 'indexOf', 'inv', 'invert', 'ior', 'ipow', 'irshift',
|
||||
'is_', 'is_not', 'isub', 'itemgetter', 'itruediv', 'ixor', 'le',
|
||||
'length_hint', 'lshift', 'lt', 'matmul', 'methodcaller', 'mod',
|
||||
'mul', 'ne', 'neg', 'not_', 'or_', 'pos', 'pow', 'rshift',
|
||||
'setitem', 'sub', 'truediv', 'truth', 'xor']
|
||||
|
||||
from builtins import abs as _abs
|
||||
|
||||
|
||||
# Comparison operations:
|
||||
# Comparison Operations *******************************************************#
|
||||
|
||||
def lt(a, b):
|
||||
"Same as a < b."
|
||||
return a < b
|
||||
|
||||
def le(a, b):
|
||||
"Same as a <= b."
|
||||
return a <= b
|
||||
|
||||
def eq(a, b):
|
||||
"Same as a == b."
|
||||
return a == b
|
||||
|
||||
|
||||
def ne(a, b):
|
||||
"Same as a != b."
|
||||
return a != b
|
||||
|
||||
|
||||
def ge(a, b):
|
||||
"Same as a >= b."
|
||||
return a >= b
|
||||
|
||||
def gt(a, b):
|
||||
"Same as a > b."
|
||||
return a > b
|
||||
|
||||
# Logical Operations **********************************************************#
|
||||
|
||||
def not_(a):
|
||||
"Same as not a."
|
||||
return not a
|
||||
|
||||
def truth(a):
|
||||
"Return True if a is true, False otherwise."
|
||||
return True if a else False
|
||||
|
||||
def is_(a, b):
|
||||
"Same as a is b."
|
||||
return a is b
|
||||
|
||||
def is_not(a, b):
|
||||
"Same as a is not b."
|
||||
return a is not b
|
||||
|
||||
# Mathematical/Bitwise Operations *********************************************#
|
||||
|
||||
def abs(a):
|
||||
"Same as abs(a)."
|
||||
return _abs(a)
|
||||
|
||||
def add(a, b):
|
||||
"Same as a + b."
|
||||
return a + b
|
||||
|
||||
def and_(a, b):
|
||||
"Same as a & b."
|
||||
return a & b
|
||||
|
||||
def floordiv(a, b):
|
||||
"Same as a // b."
|
||||
return a // b
|
||||
|
||||
def index(a):
|
||||
"Same as a.__index__()."
|
||||
return a.__index__()
|
||||
|
||||
def inv(a):
|
||||
"Same as ~a."
|
||||
return ~a
|
||||
invert = inv
|
||||
|
||||
def lshift(a, b):
|
||||
"Same as a << b."
|
||||
return a << b
|
||||
|
||||
def mod(a, b):
|
||||
"Same as a % b."
|
||||
return a % b
|
||||
|
||||
def mul(a, b):
|
||||
"Same as a * b."
|
||||
return a * b
|
||||
|
||||
def matmul(a, b):
|
||||
"Same as a @ b."
|
||||
return a @ b
|
||||
|
||||
def neg(a):
|
||||
"Same as -a."
|
||||
return -a
|
||||
|
||||
def or_(a, b):
|
||||
"Same as a | b."
|
||||
return a | b
|
||||
|
||||
def pos(a):
|
||||
"Same as +a."
|
||||
return +a
|
||||
|
||||
def pow(a, b):
|
||||
"Same as a ** b."
|
||||
return a ** b
|
||||
|
||||
def rshift(a, b):
|
||||
"Same as a >> b."
|
||||
return a >> b
|
||||
|
||||
def sub(a, b):
|
||||
"Same as a - b."
|
||||
return a - b
|
||||
|
||||
def truediv(a, b):
|
||||
"Same as a / b."
|
||||
return a / b
|
||||
|
||||
def xor(a, b):
|
||||
"Same as a ^ b."
|
||||
return a ^ b
|
||||
|
||||
# Sequence Operations *********************************************************#
|
||||
|
||||
def concat(a, b):
|
||||
"Same as a + b, for a and b sequences."
|
||||
if not hasattr(a, '__getitem__'):
|
||||
msg = "'%s' object can't be concatenated" % type(a).__name__
|
||||
raise TypeError(msg)
|
||||
return a + b
|
||||
|
||||
def contains(a, b):
|
||||
"Same as b in a (note reversed operands)."
|
||||
return b in a
|
||||
|
||||
def countOf(a, b):
|
||||
"Return the number of times b occurs in a."
|
||||
count = 0
|
||||
for i in a:
|
||||
if i == b:
|
||||
count += 1
|
||||
return count
|
||||
|
||||
def delitem(a, b):
|
||||
"Same as del a[b]."
|
||||
del a[b]
|
||||
|
||||
def getitem(a, b):
|
||||
"Same as a[b]."
|
||||
return a[b]
|
||||
|
||||
def indexOf(a, b):
|
||||
"Return the first index of b in a."
|
||||
for i, j in enumerate(a):
|
||||
if j == b:
|
||||
return i
|
||||
else:
|
||||
raise ValueError('sequence.index(x): x not in sequence')
|
||||
|
||||
def setitem(a, b, c):
|
||||
"Same as a[b] = c."
|
||||
a[b] = c
|
||||
|
||||
def length_hint(obj, default=0):
|
||||
"""
|
||||
Return an estimate of the number of items in obj.
|
||||
This is useful for presizing containers when building from an iterable.
|
||||
|
||||
If the object supports len(), the result will be exact. Otherwise, it may
|
||||
over- or under-estimate by an arbitrary amount. The result will be an
|
||||
integer >= 0.
|
||||
"""
|
||||
if not isinstance(default, int):
|
||||
msg = ("'%s' object cannot be interpreted as an integer" %
|
||||
type(default).__name__)
|
||||
raise TypeError(msg)
|
||||
|
||||
try:
|
||||
return len(obj)
|
||||
except TypeError:
|
||||
pass
|
||||
|
||||
try:
|
||||
hint = type(obj).__length_hint__
|
||||
except AttributeError:
|
||||
return default
|
||||
|
||||
try:
|
||||
val = hint(obj)
|
||||
except TypeError:
|
||||
return default
|
||||
if val is NotImplemented:
|
||||
return default
|
||||
if not isinstance(val, int):
|
||||
msg = ('__length_hint__ must be integer, not %s' %
|
||||
type(val).__name__)
|
||||
raise TypeError(msg)
|
||||
if val < 0:
|
||||
msg = '__length_hint__() should return >= 0'
|
||||
raise ValueError(msg)
|
||||
return val
|
||||
|
||||
# Generalized Lookup Objects **************************************************#
|
||||
|
||||
class attrgetter:
|
||||
"""
|
||||
Return a callable object that fetches the given attribute(s) from its operand.
|
||||
After f = attrgetter('name'), the call f(r) returns r.name.
|
||||
After g = attrgetter('name', 'date'), the call g(r) returns (r.name, r.date).
|
||||
After h = attrgetter('name.first', 'name.last'), the call h(r) returns
|
||||
(r.name.first, r.name.last).
|
||||
"""
|
||||
__slots__ = ('_attrs', '_call')
|
||||
|
||||
def __init__(self, attr, *attrs):
|
||||
if not attrs:
|
||||
if not isinstance(attr, str):
|
||||
raise TypeError('attribute name must be a string')
|
||||
self._attrs = (attr,)
|
||||
names = attr.split('.')
|
||||
def func(obj):
|
||||
for name in names:
|
||||
obj = getattr(obj, name)
|
||||
return obj
|
||||
self._call = func
|
||||
else:
|
||||
self._attrs = (attr,) + attrs
|
||||
getters = tuple(map(attrgetter, self._attrs))
|
||||
def func(obj):
|
||||
return tuple(getter(obj) for getter in getters)
|
||||
self._call = func
|
||||
|
||||
def __call__(self, obj):
|
||||
return self._call(obj)
|
||||
|
||||
def __repr__(self):
|
||||
return '%s.%s(%s)' % (self.__class__.__module__,
|
||||
self.__class__.__qualname__,
|
||||
', '.join(map(repr, self._attrs)))
|
||||
|
||||
def __reduce__(self):
|
||||
return self.__class__, self._attrs
|
||||
|
||||
class itemgetter:
|
||||
"""
|
||||
Return a callable object that fetches the given item(s) from its operand.
|
||||
After f = itemgetter(2), the call f(r) returns r[2].
|
||||
After g = itemgetter(2, 5, 3), the call g(r) returns (r[2], r[5], r[3])
|
||||
"""
|
||||
__slots__ = ('_items', '_call')
|
||||
|
||||
def __init__(self, item, *items):
|
||||
if not items:
|
||||
self._items = (item,)
|
||||
def func(obj):
|
||||
return obj[item]
|
||||
self._call = func
|
||||
else:
|
||||
self._items = items = (item,) + items
|
||||
def func(obj):
|
||||
return tuple(obj[i] for i in items)
|
||||
self._call = func
|
||||
|
||||
def __call__(self, obj):
|
||||
return self._call(obj)
|
||||
|
||||
def __repr__(self):
|
||||
return '%s.%s(%s)' % (self.__class__.__module__,
|
||||
self.__class__.__name__,
|
||||
', '.join(map(repr, self._items)))
|
||||
|
||||
def __reduce__(self):
|
||||
return self.__class__, self._items
|
||||
|
||||
class methodcaller:
|
||||
"""
|
||||
Return a callable object that calls the given method on its operand.
|
||||
After f = methodcaller('name'), the call f(r) returns r.name().
|
||||
After g = methodcaller('name', 'date', foo=1), the call g(r) returns
|
||||
r.name('date', foo=1).
|
||||
"""
|
||||
__slots__ = ('_name', '_args', '_kwargs')
|
||||
|
||||
def __init__(*args, **kwargs):
|
||||
if len(args) < 2:
|
||||
msg = "methodcaller needs at least one argument, the method name"
|
||||
raise TypeError(msg)
|
||||
self = args[0]
|
||||
self._name = args[1]
|
||||
if not isinstance(self._name, str):
|
||||
raise TypeError('method name must be a string')
|
||||
self._args = args[2:]
|
||||
self._kwargs = kwargs
|
||||
|
||||
def __call__(self, obj):
|
||||
return getattr(obj, self._name)(*self._args, **self._kwargs)
|
||||
|
||||
def __repr__(self):
|
||||
args = [repr(self._name)]
|
||||
args.extend(map(repr, self._args))
|
||||
args.extend('%s=%r' % (k, v) for k, v in self._kwargs.items())
|
||||
return '%s.%s(%s)' % (self.__class__.__module__,
|
||||
self.__class__.__name__,
|
||||
', '.join(args))
|
||||
|
||||
def __reduce__(self):
|
||||
if not self._kwargs:
|
||||
return self.__class__, (self._name,) + self._args
|
||||
else:
|
||||
from functools import partial
|
||||
return partial(self.__class__, self._name, **self._kwargs), self._args
|
||||
|
||||
|
||||
# In-place Operations *********************************************************#
|
||||
|
||||
def iadd(a, b):
|
||||
"Same as a += b."
|
||||
a += b
|
||||
return a
|
||||
|
||||
def iand(a, b):
|
||||
"Same as a &= b."
|
||||
a &= b
|
||||
return a
|
||||
|
||||
def iconcat(a, b):
|
||||
"Same as a += b, for a and b sequences."
|
||||
if not hasattr(a, '__getitem__'):
|
||||
msg = "'%s' object can't be concatenated" % type(a).__name__
|
||||
raise TypeError(msg)
|
||||
a += b
|
||||
return a
|
||||
|
||||
def ifloordiv(a, b):
|
||||
"Same as a //= b."
|
||||
a //= b
|
||||
return a
|
||||
|
||||
def ilshift(a, b):
|
||||
"Same as a <<= b."
|
||||
a <<= b
|
||||
return a
|
||||
|
||||
def imod(a, b):
|
||||
"Same as a %= b."
|
||||
a %= b
|
||||
return a
|
||||
|
||||
def imul(a, b):
|
||||
"Same as a *= b."
|
||||
a *= b
|
||||
return a
|
||||
|
||||
def imatmul(a, b):
|
||||
"Same as a @= b."
|
||||
a @= b
|
||||
return a
|
||||
|
||||
def ior(a, b):
|
||||
"Same as a |= b."
|
||||
a |= b
|
||||
return a
|
||||
|
||||
def ipow(a, b):
|
||||
"Same as a **= b."
|
||||
a **=b
|
||||
return a
|
||||
|
||||
def irshift(a, b):
|
||||
"Same as a >>= b."
|
||||
a >>= b
|
||||
return a
|
||||
|
||||
def isub(a, b):
|
||||
"Same as a -= b."
|
||||
a -= b
|
||||
return a
|
||||
|
||||
def itruediv(a, b):
|
||||
"Same as a /= b."
|
||||
a /= b
|
||||
return a
|
||||
|
||||
def ixor(a, b):
|
||||
"Same as a ^= b."
|
||||
a ^= b
|
||||
return a
|
||||
|
||||
|
||||
try:
|
||||
from _operator import *
|
||||
except ImportError:
|
||||
pass
|
||||
else:
|
||||
from _operator import __doc__
|
||||
|
||||
# All of these "__func__ = func" assignments have to happen after importing
|
||||
# from _operator to make sure they're set to the right function
|
||||
__lt__ = lt
|
||||
__le__ = le
|
||||
__eq__ = eq
|
||||
__ne__ = ne
|
||||
__ge__ = ge
|
||||
__gt__ = gt
|
||||
__not__ = not_
|
||||
__abs__ = abs
|
||||
__add__ = add
|
||||
__and__ = and_
|
||||
__floordiv__ = floordiv
|
||||
__index__ = index
|
||||
__inv__ = inv
|
||||
__invert__ = invert
|
||||
__lshift__ = lshift
|
||||
__mod__ = mod
|
||||
__mul__ = mul
|
||||
__matmul__ = matmul
|
||||
__neg__ = neg
|
||||
__or__ = or_
|
||||
__pos__ = pos
|
||||
__pow__ = pow
|
||||
__rshift__ = rshift
|
||||
__sub__ = sub
|
||||
__truediv__ = truediv
|
||||
__xor__ = xor
|
||||
__concat__ = concat
|
||||
__contains__ = contains
|
||||
__delitem__ = delitem
|
||||
__getitem__ = getitem
|
||||
__setitem__ = setitem
|
||||
__iadd__ = iadd
|
||||
__iand__ = iand
|
||||
__iconcat__ = iconcat
|
||||
__ifloordiv__ = ifloordiv
|
||||
__ilshift__ = ilshift
|
||||
__imod__ = imod
|
||||
__imul__ = imul
|
||||
__imatmul__ = imatmul
|
||||
__ior__ = ior
|
||||
__ipow__ = ipow
|
||||
__irshift__ = irshift
|
||||
__isub__ = isub
|
||||
__itruediv__ = itruediv
|
||||
__ixor__ = ixor
|
||||
Reference in new issue
Block a user