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authorahriman <ahriman@falte.red>2018-12-03 19:22:25 -0500
committerahriman <ahriman@falte.red>2018-12-03 19:22:25 -0500
commit0ae8cbf5c0b1a198b963490985b7738392ebcb97 (patch)
treeb2c77ae72c6b717e2b97492065196ac5ffb2d9e2 /wiki/inc/lang/he/diff.txt
parentf57f6cc5a2d159f90168d292437dc4bd8cd7f934 (diff)
downloadsite-0ae8cbf5c0b1a198b963490985b7738392ebcb97.tar.gz
installed dokuwiki, added to navbar, updated news
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+====== הבדלים ======
+
+כאן מוצגים ההבדלים בין הגרסה שנבחרה והגרסה הנוכחית של הדף.
+
='n137' href='#n137'>137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170
#
#
#           The Nim Compiler
#        (c) Copyright 2018 Andreas Rumpf
#
#    See the file "copying.txt", included in this
#    distribution, for details about the copyright.
#

## BTree implementation with few features, but good enough for the
## Nim compiler's needs.

const
  M = 512    # max children per B-tree node = M-1
             # (must be even and greater than 2)
  Mhalf = M div 2

type
  Node[Key, Val] {.acyclic.} = ref object
    entries: int
    keys: array[M, Key]
    case isInternal: bool
    of false:
      vals: array[M, Val]
    of true:
      links: array[M, Node[Key, Val]]
  BTree*[Key, Val] = object
    root: Node[Key, Val]
    entries: int      ## number of key-value pairs

proc initBTree*[Key, Val](): BTree[Key, Val] =
  BTree[Key, Val](root: Node[Key, Val](entries: 0, isInternal: false))

template less(a, b): bool = cmp(a, b) < 0
template eq(a, b): bool = cmp(a, b) == 0

proc getOrDefault*[Key, Val](b: BTree[Key, Val], key: Key): Val =
  var x = b.root
  while x.isInternal:
    for j in 0..<x.entries:
      if j+1 == x.entries or less(key, x.keys[j+1]):
        x = x.links[j]
        break
  assert(not x.isInternal)
  for j in 0..<x.entries:
    if eq(key, x.keys[j]): return x.vals[j]

proc contains*[Key, Val](b: BTree[Key, Val], key: Key): bool =
  var x = b.root
  while x.isInternal:
    for j in 0..<x.entries:
      if j+1 == x.entries or less(key, x.keys[j+1]):
        x = x.links[j]
        break
  assert(not x.isInternal)
  for j in 0..<x.entries:
    if eq(key, x.keys[j]): return true
  return false

proc copyHalf[Key, Val](h, result: Node[Key, Val]) =
  for j in 0..<Mhalf:
    result.keys[j] = h.keys[Mhalf + j]
  if h.isInternal:
    for j in 0..<Mhalf:
      result.links[j] = h.links[Mhalf + j]
  else:
    for j in 0..<Mhalf:
      shallowCopy(result.vals[j], h.vals[Mhalf + j])

proc split[Key, Val](h: Node[Key, Val]): Node[Key, Val] =
  ## split node in half
  result = Node[Key, Val](entries: Mhalf, isInternal: h.isInternal)
  h.entries = Mhalf
  copyHalf(h, result)

proc insert[Key, Val](h: Node[Key, Val], key: Key, val: Val): Node[Key, Val] =
  #var t = Entry(key: key, val: val, next: nil)
  var newKey = key
  var j = 0
  if not h.isInternal:
    while j < h.entries:
      if eq(key, h.keys[j]):
        h.vals[j] = val
        return
      if less(key, h.keys[j]): break
      inc j
    for i in countdown(h.entries, j+1):
      shallowCopy(h.vals[i], h.vals[i-1])
    h.vals[j] = val
  else:
    var newLink: Node[Key, Val] = nil
    while j < h.entries:
      if j+1 == h.entries or less(key, h.keys[j+1]):
        let u = insert(h.links[j], key, val)
        inc j
        if u == nil: return nil
        newKey = u.keys[0]
        newLink = u
        break
      inc j
    for i in countdown(h.entries, j+1):
      h.links[i] = h.links[i-1]
    h.links[j] = newLink

  for i in countdown(h.entries, j+1):
    h.keys[i] = h.keys[i-1]
  h.keys[j] = newKey
  inc h.entries
  return if h.entries < M: nil else: split(h)

proc add*[Key, Val](b: var BTree[Key, Val]; key: Key; val: Val) =
  let u = insert(b.root, key, val)
  inc b.entries
  if u == nil: return

  # need to split root
  let t = Node[Key, Val](entries: 2, isInternal: true)
  t.keys[0] = b.root.keys[0]
  t.links[0] = b.root
  t.keys[1] = u.keys[0]
  t.links[1] = u
  b.root = t

proc toString[Key, Val](h: Node[Key, Val], indent: string; result: var string) =
  if not h.isInternal:
    for j in 0..<h.entries:
      result.add(indent)
      result.add($h.keys[j] & " " & $h.vals[j] & "\n")
  else:
    for j in 0..<h.entries:
      if j > 0: result.add(indent & "(" & $h.keys[j] & ")\n")
      toString(h.links[j], indent & "   ", result)

proc `$`[Key, Val](b: BTree[Key, Val]): string =
  result = ""
  toString(b.root, "", result)

proc hasNext*[Key, Val](b: BTree[Key, Val]; index: int): bool = index < b.entries

proc countSubTree[Key, Val](it: Node[Key, Val]): int =
  if it.isInternal:
    result = 0
    for k in 0..<it.entries:
      inc result, countSubTree(it.links[k])
  else:
    result = it.entries

proc next*[Key, Val](b: BTree[Key, Val]; index: int): (Key, Val, int) =
  var it = b.root
  var i = index
  # navigate to the right leaf:
  while it.isInternal:
    var sum = 0
    for k in 0..<it.entries:
      let c = countSubTree(it.links[k])
      inc sum, c
      if sum > i:
        it = it.links[k]
        dec i, (sum - c)
        break
  result = (it.keys[i], it.vals[i], index+1)

iterator pairs*[Key, Val](b: BTree[Key, Val]): (Key, Val) =
  var i = 0
  while hasNext(b, i):
    let (k, v, i2) = next(b, i)
    i = i2
    yield (k, v)

proc len*[Key, Val](b: BTree[Key, Val]): int {.inline.} = b.entries