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VOHSet
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1995-06-16
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// This may look like C code, but it is really -*- C++ -*-
/*
Copyright (C) 1988 Free Software Foundation
written by Doug Lea (dl@rocky.oswego.edu)
based on code by Doug Schmidt
This file is part of the GNU C++ Library. This library is free
software; you can redistribute it and/or modify it under the terms of
the GNU Library General Public License as published by the Free
Software Foundation; either version 2 of the License, or (at your
option) any later version. This library is distributed in the hope
that it will be useful, but WITHOUT ANY WARRANTY; without even the
implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the GNU Library General Public License for more details.
You should have received a copy of the GNU Library General Public
License along with this library; if not, write to the Free Software
Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#ifdef __GNUG__
#pragma implementation
#endif
#include <stream.h>
#include "<T>.VOHSet.h"
/* codes for status fields */
#define EMPTYCELL 0
#define VALIDCELL 1
#define DELETEDCELL 2
<T>VOHSet::<T>VOHSet(int sz)
{
// The size of the hash table is always the smallest power of 2 >= the size
// indicated by the user. This allows several optimizations, including
// the use of actual double hashing and elimination of the mod instruction.
size = 1;
while (size < sz) size <<= 1;
tab = new <T>[size];
status = new char[size];
for (int i = 0; i < size; ++i) status[i] = EMPTYCELL;
count = cnt = 0;
}
<T>VOHSet::<T>VOHSet(<T>VOHSet& a)
{
tab = new <T>[size = a.size];
status = new char[size];
for (int i = 0; i < size; ++i) status[i] = EMPTYCELL;
count = cnt = 0;
for (Pix p = a.first(); p; a.next(p)) add(a(p));
}
Pix <T>VOHSet::seek(<T&> key)
{
// Uses ordered double hashing to perform a search of the table.
// This greatly speeds up the average-case time for an unsuccessful search.
unsigned hashval = <T>HASH(key);
// We can avoid the mod operation since size is a power of 2.
unsigned h = hashval & (size - 1);
// The increment must be odd, since all odd numbers are relatively
// prime to a power of 2!!
unsigned inc = ((((hashval / size) << 1) + 1) & (size - 1));
// There is always at least 1 empty cell, so this loop is guaranteed to halt!
while (status[h] != EMPTYCELL)
{
int cmp = <T>CMP (key, tab[h]);
if (cmp == 0)
{
if (status[h] == VALIDCELL)
return Pix(&tab[h]);
else
return 0;
}
else if (cmp < 0)
return 0;
else
h = ((h + inc) & (size - 1));
}
return 0;
}
// This adds an item if it doesn't already exist. By performing the initial
// comparison we assure that the table always contains at least 1 empty
// spot. This speeds up later searching by a constant factor.
// The insertion algorithm uses ordered double hashing. See Standish's
// 1980 ``Data Structure's Techniques'' book for details.
Pix <T>VOHSet::add(<T&> x)
{
if (size <= cnt+1)
resize();
unsigned hashval = <T>HASH(x);
unsigned h = hashval & (size - 1);
if (status[h] != VALIDCELL) // save some work if possible
{
if (status[h] == EMPTYCELL)
cnt++;
count++;
tab[h] = x;
status[h] = VALIDCELL;
return Pix(&tab[h]);
}
<T> item = x;
Pix mypix = 0;
unsigned inc = ((((hashval / size) << 1) + 1) & (size - 1));
for (;;)
{
if (status[h] != VALIDCELL)
{
if (status[h] == EMPTYCELL)
cnt++;
count++;
tab[h] = item;
status[h] = VALIDCELL;
return (mypix == 0)? Pix(&tab[h]) : mypix;
}
int cmp = <T>CMP(item, tab[h]);
if (cmp == 0)
return (mypix == 0)? Pix(&tab[h]) : mypix;
else if (cmp < 0)
{
<T> temp = tab[h];
tab[h] = item;
item = temp;
if (mypix == 0) mypix = Pix(&tab[h]);
hashval = <T>HASH(item);
h = hashval & (size - 1);
inc = ((((hashval / size) << 1) + 1) & (size - 1));
}
else
h = ((h + inc) & (size - 1));
}
}
void <T>VOHSet::del(<T&> key)
{
// This performs a deletion by marking the item's status field.
// Note that we only decrease the count, *not* the cnt, since this
// would cause trouble for subsequent steps in the algorithm. See
// Reingold and Hanson's ``Data Structure's'' book for a justification
// of this approach.
unsigned hashval = <T>HASH(key);
unsigned h = hashval & (size - 1);
unsigned inc = ((((hashval / size) << 1) + 1) & (size - 1));
while (status[h] != EMPTYCELL)
{
int cmp = <T>CMP(key, tab[h]);
if (cmp > 0)
h = ((h + inc) & (size - 1));
else if (status[h] == VALIDCELL && cmp == 0)
{
status[h] = DELETEDCELL;
count--;
return;
}
else
return;
}
}
void <T>VOHSet::clear()
{
for (int i = 0; i < size; ++i) status[i] = EMPTYCELL;
count = cnt = 0;
}
void <T>VOHSet::resize(int newsize)
{
if (newsize <= count)
newsize = count;
int s = 1;
while (s <= newsize) s <<= 1;
newsize = s;
<T>* oldtab = tab;
char* oldstatus = status;
int oldsize = size;
tab = new <T>[size = newsize];
status = new char[size];
for (int i = 0; i < size; ++i) status[i] = EMPTYCELL;
count = cnt = 0;
for (int i = 0; i < oldsize; ++i) if (oldstatus[i] == VALIDCELL) add(oldtab[i]);
delete [] oldtab;
delete oldstatus;
}
Pix <T>VOHSet::first()
{
for (int pos = 0; pos < size; ++pos)
if (status[pos] == VALIDCELL) return Pix(&tab[pos]);
return 0;
}
void <T>VOHSet::next(Pix& i)
{
if (i == 0) return;
int pos = ((unsigned)i - (unsigned)tab) / sizeof(<T>) + 1;
for (; pos < size; ++pos)
if (status[pos] == VALIDCELL)
{
i = Pix(&tab[pos]);
return;
}
i = 0;
}
int <T>VOHSet:: operator == (<T>VOHSet& b)
{
if (count != b.count)
return 0;
else
{
for (int i = 0; i < size; ++i)
if (status[i] == VALIDCELL && b.seek(tab[i]) == 0)
return 0;
for (int i = 0; i < b.size; ++i)
if (b.status[i] == VALIDCELL && seek(b.tab[i]) == 0)
return 0;
return 1;
}
}
int <T>VOHSet:: operator != (<T>VOHSet& b)
{
return !(*this == b);
}
int <T>VOHSet::operator <= (<T>VOHSet& b)
{
if (count > b.count)
return 0;
else
{
for (int i = 0; i < size; ++i)
if (status[i] == VALIDCELL && b.seek(tab[i]) == 0)
return 0;
return 1;
}
}
void <T>VOHSet::operator |= (<T>VOHSet& b)
{
if (&b == this || b.count == 0)
return;
for (int i = 0; i < b.size; ++i)
if (b.status[i] == VALIDCELL) add(b.tab[i]);
}
void <T>VOHSet::operator &= (<T>VOHSet& b)
{
if (&b == this || count == 0)
return;
for (int i = 0; i < size; ++i)
{
if (status[i] == VALIDCELL && b.seek(tab[i]) == 0)
{
status[i] = DELETEDCELL;
--count;
}
}
}
void <T>VOHSet::operator -= (<T>VOHSet& b)
{
for (int i = 0; i < size; ++i)
{
if (status[i] == VALIDCELL && b.seek(tab[i]) != 0)
{
status[i] = DELETEDCELL;
--count;
}
}
}
int <T>VOHSet::OK()
{
int v = tab != 0;
v &= status != 0;
int n = 0;
for (int i = 0; i < size; ++i)
{
if (status[i] == VALIDCELL) ++n;
else if (status[i] != DELETEDCELL && status[i] != EMPTYCELL)
v = 0;
}
v &= n == count;
if (!v) error("invariant failure");
return v;
}