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- /*
- * qsort.c:
- * Our own version of the system qsort routine which is faster by an average
- * of 25%, with lows and highs of 10% and 50%.
- * The THRESHold below is the insertion sort threshold, and has been adjusted
- * for records of size 48 bytes.
- * The MTHREShold is where we stop finding a better median.
- */
-
- #define THRESH 4 /* threshold for insertion */
-
- #define MTHRESH 6 /* threshold for median */
-
-
-
- static int qsz; /* size of each record */
- static int (*qcmp)(); /* the comparison routine */
-
- static int thresh; /* THRESHold in chars */
- static int mthresh; /* MTHRESHold in chars */
-
- /*
- * qsort:
- * First, set up some global parameters for qst to share. Then, quicksort
- * with qst(), and then a cleanup insertion sort ourselves. Sound simple?
- * It's not...
- */
- qsort (base, n, size, compar)
- char *base;
- int n;
- int size;
- int (*compar)();
- {
- register char *i, *j, *lo, *hi, *min;
- register int c;
- char *max;
-
- if (n <= 1) return;
- qsz = size;
- qcmp = compar;
- thresh = qsz*THRESH;
- mthresh = qsz*MTHRESH;
- max = base + n*qsz;
- if (n >= THRESH)
- {
- qst (base, max);
- hi = base + thresh;
- }
- else
- {
- hi = max;
- }
- /*
- * First put smallest element, which must be in the first THRESH, in
- * the first position as a sentinel. This is done just by searching
- * the first THRESH elements (or the first n if n < THRESH), finding
- * the min, and swapping it into the first position.
- */
- for (j = lo = base; (lo += qsz) < hi; )
- {
- if ((*qcmp) (j, lo) > 0)
- j = lo;
- }
- if (j != base)
- { /* swap j into place */
- for (i = base, hi = base + qsz; i < hi;)
- {
- c = *j;
- *j++ = *i;
- *i++ = c;
- }
- }
- /*
- * With our sentinel in place, we now run the following hyper-fast
- * insertion sort. For each remaining element, min, from [1] to [n-1],
- * set hi to the index of the element AFTER which this one goes.
- * Then, do the standard insertion sort shift on a character at a time
- * basis for each element in the frob.
- */
- for (min = base; (hi = min += qsz) < max;)
- {
- while ( (*qcmp) (hi -= qsz, min) > 0);
- if ((hi += qsz) != min)
- {
- for (lo = min + qsz; --lo >= min;)
- {
- c = *lo;
- for (i = j = lo; (j -= qsz) >= hi; i = j)
- *i = *j;
- *i = c;
- }
- }
- }
- }
-
- /*
- * qst:
- * Do a quicksort
- * First, find the median element, and put that one in the first place as the
- * discriminator. (This "median" is just the median of the first, last and
- * middle elements). (Using this median instead of the first element is a big
- * win). Then, the usual partitioning/swapping, followed by moving the
- * discriminator into the right place. Then, figure out the sizes of the two
- * partions, do the smaller one recursively and the larger one via a repeat of
- * this code. Stopping when there are less than THRESH elements in a partition
- * and cleaning up with an insertion sort (in our caller) is a huge win.
- * All data swaps are done in-line, which is space-losing but time-saving.
- * (And there are only three places where this is done).
- */
-
- qst (base, max)
- char *base, *max;
- {
- register char *i, *j, *jj, *mid;
- register int ii, c;
- char *tmp;
- int lo, hi;
-
- lo = max - base; /* number of elements as chars */
- do
- {
- /*
- * At the top here, lo is the number of characters of elements in the
- * current partition. (Which should be max - base).
- * Find the median of the first, last, and middle element and make that the
- * middle element. Set j to largest of first and middle. If max is larger
- * than that guy, then it's that guy, else compare max with loser of first
- * and take larger. Things are set up to prefer the middle, then the first
- * in case of ties.
- */
- mid = i = base + qsz * ((lo/qsz) >> 1);
- if (lo >= mthresh)
- {
- j = ((*qcmp) ((jj = base), i) > 0 ? jj : i);
- if ((*qcmp) (j, (tmp = max - qsz)) > 0)
- {
- j = (j == jj ? i : jj); /* switch to first loser */
- if ((*qcmp) (j, tmp) < 0)
- j = tmp;
- }
- if (j != i)
- {
- ii = qsz;
- do
- {
- c = *i;
- *i++ = *j;
- *j++ = c;
- }
- while( --ii );
- }
- }
- /*
- * Semi-standard quicksort partitioning/swapping
- */
- for (i = base, j = max - qsz; ;)
- {
- while (i < mid && (*qcmp) (i, mid) <= 0)
- i += qsz;
- while (j > mid)
- {
- if ((*qcmp) (mid, j) <= 0)
- {
- j -= qsz;
- continue;
- }
- tmp = i + qsz; /* value of i after swap */
- if (i == mid)
- { /* j <-> mid, new mid is j */
- mid = jj = j;
- }
- else
- { /* i <-> j */
- jj = j;
- j -= qsz;
- }
- goto swap;
- }
- if (i == mid)
- {
- break;
- }
- else
- { /* i <-> mid, new mid is i */
- jj = mid;
- tmp = mid = i; /* value of i after swap */
- j -= qsz;
- }
- swap:
- ii = qsz;
- do
- {
- c = *i;
- *i++ = *jj;
- *jj++ = c;
- }
- while (--ii);
- i = tmp;
- }
- /*
- * Look at sizes of the two partitions, do the smaller one first by
- * recursion, then do the larger one by making sure lo is its size,
- * base and max are update correctly, and branching back.
- * But only repeat (recursively or by branching) if the partition is
- * of at least size THRESH.
- */
- i = (j = mid) + qsz;
- if ((lo = j - base) <= (hi = max - i))
- {
- if (lo >= thresh)
- qst (base, j);
- base = i;
- lo = hi;
- }
- else
- {
- if (hi >= thresh)
- qst (i, max);
- max = j;
- }
- }
- while (lo >= thresh);
- }
-
-
-
-