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author | Yuriy Glukhov <yutiy.glukhov@gmail.com> | 2016-04-27 23:14:01 +0300 |
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committer | Yuriy Glukhov <yutiy.glukhov@gmail.com> | 2016-04-28 00:04:32 +0300 |
commit | 1a8f7848342e4d195fd89a8048a9eb504280a953 (patch) | |
tree | 8ee5d894a6f09e87537cfe37bc80e896850d3092 /lib/pure/collections | |
parent | e31ec746b96ef185d9f5fa6276518949fa889e5a (diff) | |
download | Nim-1a8f7848342e4d195fd89a8048a9eb504280a953.tar.gz |
Added heapqueue collection. Fixed timers in asyncdispatch.
Diffstat (limited to 'lib/pure/collections')
-rw-r--r-- | lib/pure/collections/heapqueue.nim | 107 |
1 files changed, 107 insertions, 0 deletions
diff --git a/lib/pure/collections/heapqueue.nim b/lib/pure/collections/heapqueue.nim new file mode 100644 index 000000000..149a1c9fc --- /dev/null +++ b/lib/pure/collections/heapqueue.nim @@ -0,0 +1,107 @@ +##[ Heap queue algorithm (a.k.a. priority queue). Ported from Python heapq. + +Heaps are arrays for which a[k] <= a[2*k+1] and a[k] <= a[2*k+2] for +all k, counting elements from 0. For the sake of comparison, +non-existing elements are considered to be infinite. The interesting +property of a heap is that a[0] is always its smallest element. + +]## + +type HeapQueue*[T] = distinct seq[T] + +proc newHeapQueue*[T](): HeapQueue[T] {.inline.} = HeapQueue[T](newSeq[T]()) +proc newHeapQueue*[T](h: var HeapQueue[T]) {.inline.} = h = HeapQueue[T](newSeq[T]()) + +proc len*[T](h: HeapQueue[T]): int {.inline.} = seq[T](h).len +proc `[]`*[T](h: HeapQueue[T], i: int): T {.inline.} = seq[T](h)[i] +proc `[]=`[T](h: var HeapQueue[T], i: int, v: T) {.inline.} = seq[T](h)[i] = v +proc add[T](h: var HeapQueue[T], v: T) {.inline.} = seq[T](h).add(v) + +proc heapCmp[T](x, y: T): bool {.inline.} = + return (x < y) + +# 'heap' is a heap at all indices >= startpos, except possibly for pos. pos +# is the index of a leaf with a possibly out-of-order value. Restore the +# heap invariant. +proc siftdown[T](heap: var HeapQueue[T], startpos, p: int) = + var pos = p + var newitem = heap[pos] + # Follow the path to the root, moving parents down until finding a place + # newitem fits. + while pos > startpos: + let parentpos = (pos - 1) shr 1 + let parent = heap[parentpos] + if heapCmp(newitem, parent): + heap[pos] = parent + pos = parentpos + else: + break + heap[pos] = newitem + +proc siftup[T](heap: var HeapQueue[T], p: int) = + let endpos = len(heap) + var pos = p + let startpos = pos + let newitem = heap[pos] + # Bubble up the smaller child until hitting a leaf. + var childpos = 2*pos + 1 # leftmost child position + while childpos < endpos: + # Set childpos to index of smaller child. + let rightpos = childpos + 1 + if rightpos < endpos and not heapCmp(heap[childpos], heap[rightpos]): + childpos = rightpos + # Move the smaller child up. + heap[pos] = heap[childpos] + pos = childpos + childpos = 2*pos + 1 + # The leaf at pos is empty now. Put newitem there, and bubble it up + # to its final resting place (by sifting its parents down). + heap[pos] = newitem + siftdown(heap, startpos, pos) + +proc push*[T](heap: var HeapQueue[T], item: T) = + ## Push item onto heap, maintaining the heap invariant. + (seq[T](heap)).add(item) + siftdown(heap, 0, len(heap)-1) + +proc pop*[T](heap: var HeapQueue[T]): T = + ## Pop the smallest item off the heap, maintaining the heap invariant. + let lastelt = seq[T](heap).pop() + if heap.len > 0: + result = heap[0] + heap[0] = lastelt + siftup(heap, 0) + else: + result = lastelt + +proc replace*[T](heap: var HeapQueue[T], item: T): T = + ## Pop and return the current smallest value, and add the new item. + ## This is more efficient than pop() followed by push(), and can be + ## more appropriate when using a fixed-size heap. Note that the value + ## returned may be larger than item! That constrains reasonable uses of + ## this routine unless written as part of a conditional replacement: + + ## if item > heap[0]: + ## item = replace(heap, item) + result = heap[0] + heap[0] = item + siftup(heap, 0) + +proc pushpop*[T](heap: var HeapQueue[T], item: T): T = + ## Fast version of a push followed by a pop. + if heap.len > 0 and heapCmp(heap[0], item): + swap(item, heap[0]) + siftup(heap, 0) + return item + +when isMainModule: + # Simple sanity test + var heap = newHeapQueue[int]() + let data = [1, 3, 5, 7, 9, 2, 4, 6, 8, 0] + for item in data: + push(heap, item) + doAssert(heap[0] == 0) + var sort = newSeq[int]() + while heap.len > 0: + sort.add(pop(heap)) + doAssert(sort == @[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) |