/* Copyright(c) 1986 Association of Universities for Research in Astronomy Inc. */ /* ** Copyright (c) 1980 Regents of the University of California. ** All rights reserved. ** ** Redistribution and use in source and binary forms are permitted ** provided that the above copyright notice and this paragraph are ** duplicated in all such forms and that any documentation, ** advertising materials, and other materials related to such ** distribution and use acknowledge that the software was developed ** by the University of California, Berkeley. The name of the ** University may not be used to endorse or promote products derived ** from this software without specific prior written permission. ** THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR ** IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED ** WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE. */ #define import_libc #include /* ** QSORT -- Quicker sort. Adapted from the BSD sources. */ #define THRESH 4 /* threshold for insertion */ #define MTHRESH 6 /* threshold for median */ static int (*qcmp)(); /* the comparison routine */ static int qsz; /* size of each record */ static int thresh; /* THRESHold in chars */ static int mthresh; /* MTHRESHold in chars */ static void qst(); /* 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... */ void qsort ( char *base, int n, int size, int (*compar)() ) { register char c, *i, *j, *lo, *hi; char *minval, *maxval; if (n <= 1) return; qsz = size; qcmp = compar; thresh = qsz * THRESH; mthresh = qsz * MTHRESH; maxval = base + n * qsz; if (n >= THRESH) { qst (base, maxval); hi = base + thresh; } else hi = maxval; /* 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 (minval=base; (hi = minval += qsz) < maxval; ) { while ((*qcmp) (hi -= qsz, minval) > 0) /* void */; if ((hi += qsz) != minval) { for (lo = minval + qsz; --lo >= minval; ) { 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). */ static void qst ( char *base, char *maxval ) { register char c, *i, *j, *jj; register int ii; char *mid, *tmp; int lo, hi; /* At the top here, lo is the number of characters of elements in the * current partition. (Which should be maxval - 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 maxval is larger than that guy, then it's that guy, else compare * maxval with loser of first and take larger. Things are set up to * prefer the middle, then the first in case of ties. */ lo = maxval - base; /* number of elements as chars */ do { mid = i = base + qsz * ((lo / qsz) >> 1); if (lo >= mthresh) { j = ((*qcmp)((jj = base), i) > 0 ? jj : i); if ((*qcmp)(j, (tmp = maxval - qsz)) > 0) { /* switch to first loser */ j = (j == jj ? i : jj); 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 = maxval - 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 maxval 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 = maxval - i)) { if (lo >= thresh) qst(base, j); base = i; lo = hi; } else { if (hi >= thresh) qst(i, maxval); maxval = j; } } while (lo >= thresh); }