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/*****************************************************************************
/
/ SPACE (SPArse Cholesky Elimination) Library: sort.c
/
/ author J"urgen Schulze, University of Paderborn
/ created 09/15/99
/
/ This file contains some sorting functions. the code is adopted from
/ the book "Algorithms in C" by R. Sedgewick.
/
******************************************************************************/
#include <space.h>
#define THRES 10
/*****************************************************************************
/ insertion sort upwards (INTS, without keys)
******************************************************************************/
void
insertUpInts(PORD_INT n, PORD_INT *array)
{ PORD_INT i, j, v;
for (i = 1; i < n; i++)
{ v = array[i]; j = i;
while ((j > 0) && (array[j-1] > v))
{ array[j] = array[j-1];
j--;
}
array[j] = v;
}
}
/*****************************************************************************
/ insertion sort upwards (INTS, with static INT keys)
******************************************************************************/
void
insertUpIntsWithStaticIntKeys(PORD_INT n, PORD_INT *array, PORD_INT *key)
{ PORD_INT i, j, ke;
PORD_INT e;
for (i = 1; i < n; i++)
{ e = array[i]; ke = key[e]; j = i;
while ((j > 0) && (key[array[j-1]] > ke))
{ array[j] = array[j-1];
j--;
}
array[j] = e;
}
}
/*****************************************************************************
/ insertion sort downwards (INTS, with static INT keys)
******************************************************************************/
void
insertDownIntsWithStaticFloatKeys(PORD_INT n, PORD_INT *array, FLOAT *key)
{ PORD_INT i, j, e;
FLOAT ke;
for (i = 1; i < n; i++)
{ e = array[i]; ke = key[e]; j = i;
while ((j > 0) && (key[array[j-1]] < ke))
{ array[j] = array[j-1];
j--;
}
array[j] = e;
}
}
/*****************************************************************************
/ insertion sort upwards (FLOATS, with INT keys)
******************************************************************************/
void
insertUpFloatsWithIntKeys(PORD_INT n, FLOAT *array, PORD_INT *key)
{ PORD_INT i, j, ke;
FLOAT e;
for (i = 1; i < n; i++)
{ e = array[i]; ke = key[i]; j = i;
while ((j > 0) && (key[j-1] > ke))
{ array[j] = array[j-1];
key[j] = key[j-1];
j--;
}
array[j] = e;
key[j] = ke;
}
}
/*****************************************************************************
/ median-of-three quicksort upwards (INTS, without keys)
******************************************************************************/
void
qsortUpInts(PORD_INT n, PORD_INT *array, PORD_INT *stack)
{ register PORD_INT i, j;
PORD_INT t, l, m, r, p;
l = 0; r = n-1; p = 2;
while (p > 0)
if ((r-l) > THRES)
{ m = l + ((r-l) >> 1);
if (array[l] > array[r]) swap(array[l], array[r], t);
if (array[l] > array[m]) swap(array[l], array[m], t);
if (array[r] > array[m]) swap(array[m], array[r], t);
m = array[r]; i = l-1; j = r;
for (;;)
{ while (array[++i] < m);
while (array[--j] > m);
if (i >= j) break;
swap(array[i], array[j], t);
}
swap(array[i], array[r], t);
if ((i-l) > (r-i))
{ stack[p++] = l;
stack[p++] = i-1;
l = i+1;
}
else
{ stack[p++] = i+1;
stack[p++] = r;
r = i-1;
}
}
else
{ r = stack[--p];
l = stack[--p];
}
if (THRES > 0) insertUpInts(n, array);
}
/*****************************************************************************
/ median-of-three quicksort upwards (FLOATS, with INT keys)
******************************************************************************/
void
qsortUpFloatsWithIntKeys(PORD_INT n, FLOAT *array, PORD_INT *key, PORD_INT *stack)
{ register PORD_INT i, j;
PORD_INT t, l, m, r, p;
FLOAT e;
l = 0; r = n-1; p = 2;
while (p > 0)
if ((r-l) > THRES)
{ m = l + ((r-l) >> 1);
if (key[l] > key[r])
{ swap(array[l], array[r], e); swap(key[l], key[r], t); }
if (key[l] > key[m])
{ swap(array[l], array[m], e); swap(key[l], key[m], t); }
if (key[r] > key[m])
{ swap(array[m], array[r], e); swap(key[m], key[r], t); }
m = key[r]; i = l-1; j = r;
for (;;)
{ while (key[++i] < m);
while (key[--j] > m);
if (i >= j) break;
swap(array[i], array[j], e); swap(key[i], key[j], t);
}
swap(array[i], array[r], e); swap(key[i], key[r], t);
if ((i-l) > (r-i))
{ stack[p++] = l;
stack[p++] = i-1;
l = i+1;
}
else
{ stack[p++] = i+1;
stack[p++] = r;
r = i-1;
}
}
else
{ r = stack[--p];
l = stack[--p];
}
if (THRES > 0) insertUpFloatsWithIntKeys(n, array, key);
}
/*****************************************************************************
/ distribution counting (INTS, with static INT keys)
******************************************************************************/
void
distributionCounting(PORD_INT n, PORD_INT *node, PORD_INT *key)
{ register PORD_INT i;
PORD_INT *tmp, *count, minkey, maxkey, l, u, vk;
/* determine maximal and minimal key */
minkey = MAX_INT;
maxkey = 0;
for (i = 0; i < n; i++)
{ u = node[i];
maxkey = max(key[u], maxkey);
minkey = min(key[u], minkey);
}
l = maxkey-minkey;
/* printf("minkey %d, maxkey %d, range %d\n", minkey, maxkey, l); */
mymalloc(count, (l+1), PORD_INT);
mymalloc(tmp, n, PORD_INT);
for (i = 0; i <= l; i++)
count[i] = 0;
/* scale down all key-values */
for (i = 0; i < n; i++)
{ u = node[i];
vk = key[u]-minkey;
key[u] = vk;
count[vk]++;
}
/* now do the sorting */
for (i = 1; i <= l; i++)
count[i] += count[i-1];
for (i = n-1; i >= 0; i--)
{ u = node[i];
tmp[--count[key[u]]] = u;
}
for (i = 0; i < n; i++)
node[i] = tmp[i];
/*
for (i = 0; i < n; i++)
{ u = node[i];
printf(" node %d, key %d\n", u, key[u]);
}
*/
free(count);
free(tmp);
}
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