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#
#
# The Nim Compiler
# (c) Copyright 2012 Andreas Rumpf
#
# See the file "copying.txt", included in this
# distribution, for details about the copyright.
#
# this unit handles Nim sets; it implements symbolic sets
import
ast, astalgo, trees, nversion, msgs, platform, bitsets, types, renderer
proc inSet*(s: PNode, elem: PNode): bool =
assert s.kind == nkCurly
if s.kind != nkCurly:
#internalError(s.info, "inSet")
return false
for i in countup(0, sonsLen(s) - 1):
if s.sons[i].kind == nkRange:
if leValue(s.sons[i].sons[0], elem) and
leValue(elem, s.sons[i].sons[1]):
return true
else:
if sameValue(s.sons[i], elem):
return true
result = false
proc overlap*(a, b: PNode): bool =
if a.kind == nkRange:
if b.kind == nkRange:
# X..Y and C..D overlap iff (X <= D and C <= Y)
result = leValue(a.sons[0], b.sons[1]) and
leValue(b.sons[0], a.sons[1])
else:
result = leValue(a.sons[0], b) and leValue(b, a.sons[1])
else:
if b.kind == nkRange:
result = leValue(b.sons[0], a) and leValue(a, b.sons[1])
else:
result = sameValue(a, b)
proc someInSet*(s: PNode, a, b: PNode): bool =
# checks if some element of a..b is in the set s
assert s.kind == nkCurly
if s.kind != nkCurly:
#internalError(s.info, "SomeInSet")
return false
for i in countup(0, sonsLen(s) - 1):
if s.sons[i].kind == nkRange:
if leValue(s.sons[i].sons[0], b) and leValue(b, s.sons[i].sons[1]) or
leValue(s.sons[i].sons[0], a) and leValue(a, s.sons[i].sons[1]):
return true
else:
# a <= elem <= b
if leValue(a, s.sons[i]) and leValue(s.sons[i], b):
return true
result = false
proc toBitSet*(s: PNode, b: var TBitSet) =
var first, j: BiggestInt
first = firstOrd(s.typ.sons[0])
bitSetInit(b, int(getSize(s.typ)))
for i in countup(0, sonsLen(s) - 1):
if s.sons[i].kind == nkRange:
j = getOrdValue(s.sons[i].sons[0])
while j <= getOrdValue(s.sons[i].sons[1]):
bitSetIncl(b, j - first)
inc(j)
else:
bitSetIncl(b, getOrdValue(s.sons[i]) - first)
proc toTreeSet*(s: TBitSet, settype: PType, info: TLineInfo): PNode =
var
a, b, e, first: BiggestInt # a, b are interval borders
elemType: PType
n: PNode
elemType = settype.sons[0]
first = firstOrd(elemType)
result = newNodeI(nkCurly, info)
result.typ = settype
result.info = info
e = 0
while e < len(s) * ElemSize:
if bitSetIn(s, e):
a = e
b = e
while true:
inc(b)
if (b >= len(s) * ElemSize) or not bitSetIn(s, b): break
dec(b)
let aa = newIntTypeNode(nkIntLit, a + first, elemType)
aa.info = info
if a == b:
addSon(result, aa)
else:
n = newNodeI(nkRange, info)
n.typ = elemType
addSon(n, aa)
let bb = newIntTypeNode(nkIntLit, b + first, elemType)
bb.info = info
addSon(n, bb)
addSon(result, n)
e = b
inc(e)
template nodeSetOp(a, b: PNode, op: untyped) {.dirty.} =
var x, y: TBitSet
toBitSet(a, x)
toBitSet(b, y)
op(x, y)
result = toTreeSet(x, a.typ, a.info)
proc unionSets*(a, b: PNode): PNode = nodeSetOp(a, b, bitSetUnion)
proc diffSets*(a, b: PNode): PNode = nodeSetOp(a, b, bitSetDiff)
proc intersectSets*(a, b: PNode): PNode = nodeSetOp(a, b, bitSetIntersect)
proc symdiffSets*(a, b: PNode): PNode = nodeSetOp(a, b, bitSetSymDiff)
proc containsSets*(a, b: PNode): bool =
var x, y: TBitSet
toBitSet(a, x)
toBitSet(b, y)
result = bitSetContains(x, y)
proc equalSets*(a, b: PNode): bool =
var x, y: TBitSet
toBitSet(a, x)
toBitSet(b, y)
result = bitSetEquals(x, y)
proc complement*(a: PNode): PNode =
var x: TBitSet
toBitSet(a, x)
for i in countup(0, high(x)): x[i] = not x[i]
result = toTreeSet(x, a.typ, a.info)
proc deduplicate*(a: PNode): PNode =
var x: TBitSet
toBitSet(a, x)
result = toTreeSet(x, a.typ, a.info)
proc cardSet*(a: PNode): BiggestInt =
var x: TBitSet
toBitSet(a, x)
result = bitSetCard(x)
proc setHasRange*(s: PNode): bool =
assert s.kind == nkCurly
if s.kind != nkCurly:
return false
for i in countup(0, sonsLen(s) - 1):
if s.sons[i].kind == nkRange:
return true
result = false
proc emptyRange*(a, b: PNode): bool =
result = not leValue(a, b) # a > b iff not (a <= b)
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