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    /*	$OpenBSD: merge.c,v 1.10 2015/06/21 03:20:56 millert Exp $ */  | 
    
    
    2  | 
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    /*-  | 
    
    
    3  | 
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     * Copyright (c) 1992, 1993  | 
    
    
    4  | 
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     *	The Regents of the University of California.  All rights reserved.  | 
    
    
    5  | 
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     *  | 
    
    
    6  | 
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     * This code is derived from software contributed to Berkeley by  | 
    
    
    7  | 
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     * Peter McIlroy.  | 
    
    
    8  | 
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     *  | 
    
    
    9  | 
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     * Redistribution and use in source and binary forms, with or without  | 
    
    
    10  | 
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     * modification, are permitted provided that the following conditions  | 
    
    
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     * are met:  | 
    
    
    12  | 
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     * 1. Redistributions of source code must retain the above copyright  | 
    
    
    13  | 
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     *    notice, this list of conditions and the following disclaimer.  | 
    
    
    14  | 
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     * 2. Redistributions in binary form must reproduce the above copyright  | 
    
    
    15  | 
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     *    notice, this list of conditions and the following disclaimer in the  | 
    
    
    16  | 
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     *    documentation and/or other materials provided with the distribution.  | 
    
    
    17  | 
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     * 3. Neither the name of the University nor the names of its contributors  | 
    
    
    18  | 
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     *    may be used to endorse or promote products derived from this software  | 
    
    
    19  | 
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     *    without specific prior written permission.  | 
    
    
    20  | 
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     *  | 
    
    
    21  | 
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     * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND  | 
    
    
    22  | 
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     * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE  | 
    
    
    23  | 
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     * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE  | 
    
    
    24  | 
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     * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE  | 
    
    
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     * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL  | 
    
    
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     * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS  | 
    
    
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     * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)  | 
    
    
    28  | 
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     * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT  | 
    
    
    29  | 
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     * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY  | 
    
    
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     * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF  | 
    
    
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     * SUCH DAMAGE.  | 
    
    
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     */  | 
    
    
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    34  | 
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    /*  | 
    
    
    35  | 
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     * Hybrid exponential search/linear search merge sort with hybrid  | 
    
    
    36  | 
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     * natural/pairwise first pass.  Requires about .3% more comparisons  | 
    
    
    37  | 
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     * for random data than LSMS with pairwise first pass alone.  | 
    
    
    38  | 
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     * It works for objects as small as two bytes.  | 
    
    
    39  | 
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     */  | 
    
    
    40  | 
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    41  | 
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    #define NATURAL  | 
    
    
    42  | 
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    #define THRESHOLD 16	/* Best choice for natural merge cut-off. */  | 
    
    
    43  | 
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    44  | 
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    /* #define NATURAL to get hybrid natural merge.  | 
    
    
    45  | 
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     * (The default is pairwise merging.)  | 
    
    
    46  | 
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     */  | 
    
    
    47  | 
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    48  | 
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    #include <sys/types.h>  | 
    
    
    49  | 
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    50  | 
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    #include <errno.h>  | 
    
    
    51  | 
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    #include <stdlib.h>  | 
    
    
    52  | 
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    #include <string.h>  | 
    
    
    53  | 
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    54  | 
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    static void setup(u_char *, u_char *, size_t, size_t, int (*)());  | 
    
    
    55  | 
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    static void insertionsort(u_char *, size_t, size_t, int (*)());  | 
    
    
    56  | 
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    57  | 
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    #define ISIZE sizeof(int)  | 
    
    
    58  | 
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    #define PSIZE sizeof(u_char *)  | 
    
    
    59  | 
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    #define ICOPY_LIST(src, dst, last)				\  | 
    
    
    60  | 
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    	do							\  | 
    
    
    61  | 
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    	*(int*)dst = *(int*)src, src += ISIZE, dst += ISIZE;	\  | 
    
    
    62  | 
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    	while(src < last)  | 
    
    
    63  | 
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    #define ICOPY_ELT(src, dst, i)					\  | 
    
    
    64  | 
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    	do							\  | 
    
    
    65  | 
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    	*(int*) dst = *(int*) src, src += ISIZE, dst += ISIZE;	\  | 
    
    
    66  | 
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    	while (i -= ISIZE)  | 
    
    
    67  | 
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    68  | 
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    #define CCOPY_LIST(src, dst, last)		\  | 
    
    
    69  | 
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    	do					\  | 
    
    
    70  | 
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    		*dst++ = *src++;		\  | 
    
    
    71  | 
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    	while (src < last)  | 
    
    
    72  | 
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    #define CCOPY_ELT(src, dst, i)			\  | 
    
    
    73  | 
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    	do					\  | 
    
    
    74  | 
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    		*dst++ = *src++;		\  | 
    
    
    75  | 
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    	while (i -= 1)  | 
    
    
    76  | 
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    77  | 
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    /*  | 
    
    
    78  | 
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     * Find the next possible pointer head.  (Trickery for forcing an array  | 
    
    
    79  | 
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     * to do double duty as a linked list when objects do not align with word  | 
    
    
    80  | 
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     * boundaries.  | 
    
    
    81  | 
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     */  | 
    
    
    82  | 
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    /* Assumption: PSIZE is a power of 2. */  | 
    
    
    83  | 
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    #define EVAL(p) (u_char **)						\  | 
    
    
    84  | 
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    	((u_char *)0 +							\  | 
    
    
    85  | 
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    	    (((u_char *)p + PSIZE - 1 - (u_char *) 0) & ~(PSIZE - 1)))  | 
    
    
    86  | 
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    87  | 
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    /*  | 
    
    
    88  | 
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     * Arguments are as for qsort.  | 
    
    
    89  | 
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     */  | 
    
    
    90  | 
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    int  | 
    
    
    91  | 
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    mergesort(void *base, size_t nmemb, size_t size,  | 
    
    
    92  | 
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        int (*cmp)(const void *, const void *))  | 
    
    
    93  | 
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    { | 
    
    
    94  | 
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    	int i, sense;  | 
    
    
    95  | 
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    	int big, iflag;  | 
    
    
    96  | 
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    	u_char *f1, *f2, *t, *b, *tp2, *q, *l1, *l2;  | 
    
    
    97  | 
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    	u_char *list2, *list1, *p2, *p, *last, **p1;  | 
    
    
    98  | 
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    99  | 
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    	if (size < PSIZE / 2) {		/* Pointers must fit into 2 * size. */ | 
    
    
    100  | 
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    		errno = EINVAL;  | 
    
    
    101  | 
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    		return (-1);  | 
    
    
    102  | 
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    	}  | 
    
    
    103  | 
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    104  | 
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    	if (nmemb == 0)  | 
    
    
    105  | 
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    		return (0);  | 
    
    
    106  | 
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    107  | 
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    	/*  | 
    
    
    108  | 
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    	 * XXX  | 
    
    
    109  | 
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    	 * Stupid subtraction for the Cray.  | 
    
    
    110  | 
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    	 */  | 
    
    
    111  | 
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    	iflag = 0;  | 
    
    
    112  | 
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    	if (!(size % ISIZE) && !(((char *)base - (char *)0) % ISIZE))  | 
    
    
    113  | 
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    		iflag = 1;  | 
    
    
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    115  | 
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    	if ((list2 = malloc(nmemb * size + PSIZE)) == NULL)  | 
    
    
    116  | 
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    		return (-1);  | 
    
    
    117  | 
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    118  | 
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    	list1 = base;  | 
    
    
    119  | 
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    	setup(list1, list2, nmemb, size, cmp);  | 
    
    
    120  | 
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    	last = list2 + nmemb * size;  | 
    
    
    121  | 
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    	i = big = 0;  | 
    
    
    122  | 
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    	while (*EVAL(list2) != last) { | 
    
    
    123  | 
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    	    l2 = list1;  | 
    
    
    124  | 
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    	    p1 = EVAL(list1);  | 
    
    
    125  | 
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    	    for (tp2 = p2 = list2; p2 != last; p1 = EVAL(l2)) { | 
    
    
    126  | 
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    	    	p2 = *EVAL(p2);  | 
    
    
    127  | 
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    	    	f1 = l2;  | 
    
    
    128  | 
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    	    	f2 = l1 = list1 + (p2 - list2);  | 
    
    
    129  | 
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    	    	if (p2 != last)  | 
    
    
    130  | 
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    	    		p2 = *EVAL(p2);  | 
    
    
    131  | 
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    	    	l2 = list1 + (p2 - list2);  | 
    
    
    132  | 
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    	    	while (f1 < l1 && f2 < l2) { | 
    
    
    133  | 
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    	    		if ((*cmp)(f1, f2) <= 0) { | 
    
    
    134  | 
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    	    			q = f2;  | 
    
    
    135  | 
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    	    			b = f1, t = l1;  | 
    
    
    136  | 
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    	    			sense = -1;  | 
    
    
    137  | 
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    	    		} else { | 
    
    
    138  | 
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    	    			q = f1;  | 
    
    
    139  | 
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    	    			b = f2, t = l2;  | 
    
    
    140  | 
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    	    			sense = 0;  | 
    
    
    141  | 
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    	    		}  | 
    
    
    142  | 
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    	    		if (!big) {	/* here i = 0 */ | 
    
    
    143  | 
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    	    			while ((b += size) < t && cmp(q, b) >sense)  | 
    
    
    144  | 
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    	    				if (++i == 6) { | 
    
    
    145  | 
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    	    					big = 1;  | 
    
    
    146  | 
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    	    					goto EXPONENTIAL;  | 
    
    
    147  | 
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    	    				}  | 
    
    
    148  | 
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    	    		} else { | 
    
    
    149  | 
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    EXPONENTIAL:	    		for (i = size; ; i <<= 1)  | 
    
    
    150  | 
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    	    				if ((p = (b + i)) >= t) { | 
    
    
    151  | 
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    	    					if ((p = t - size) > b &&  | 
    
    
    152  | 
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    						    (*cmp)(q, p) <= sense)  | 
    
    
    153  | 
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    	    						t = p;  | 
    
    
    154  | 
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    	    					else  | 
    
    
    155  | 
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    	    						b = p;  | 
    
    
    156  | 
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    	    					break;  | 
    
    
    157  | 
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    	    				} else if ((*cmp)(q, p) <= sense) { | 
    
    
    158  | 
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    	    					t = p;  | 
    
    
    159  | 
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    	    					if (i == size)  | 
    
    
    160  | 
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    	    						big = 0;  | 
    
    
    161  | 
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    	    					goto FASTCASE;  | 
    
    
    162  | 
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    	    				} else  | 
    
    
    163  | 
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    	    					b = p;  | 
    
    
    164  | 
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    		    		while (t > b+size) { | 
    
    
    165  | 
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    	    				i = (((t - b) / size) >> 1) * size;  | 
    
    
    166  | 
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    	    				if ((*cmp)(q, p = b + i) <= sense)  | 
    
    
    167  | 
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    	    					t = p;  | 
    
    
    168  | 
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    	    				else  | 
    
    
    169  | 
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    	    					b = p;  | 
    
    
    170  | 
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    	    			}  | 
    
    
    171  | 
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    	    			goto COPY;  | 
    
    
    172  | 
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    FASTCASE:	    		while (i > size)  | 
    
    
    173  | 
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    	    				if ((*cmp)(q,  | 
    
    
    174  | 
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    	    					p = b + (i >>= 1)) <= sense)  | 
    
    
    175  | 
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    	    					t = p;  | 
    
    
    176  | 
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    	    				else  | 
    
    
    177  | 
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    	    					b = p;  | 
    
    
    178  | 
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    COPY:	    			b = t;  | 
    
    
    179  | 
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    	    		}  | 
    
    
    180  | 
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    	    		i = size;  | 
    
    
    181  | 
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    	    		if (q == f1) { | 
    
    
    182  | 
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    	    			if (iflag) { | 
    
    
    183  | 
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    	    				ICOPY_LIST(f2, tp2, b);  | 
    
    
    184  | 
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    	    				ICOPY_ELT(f1, tp2, i);  | 
    
    
    185  | 
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    	    			} else { | 
    
    
    186  | 
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    	    				CCOPY_LIST(f2, tp2, b);  | 
    
    
    187  | 
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    	    				CCOPY_ELT(f1, tp2, i);  | 
    
    
    188  | 
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    	    			}  | 
    
    
    189  | 
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    	    		} else { | 
    
    
    190  | 
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    	    			if (iflag) { | 
    
    
    191  | 
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    	    				ICOPY_LIST(f1, tp2, b);  | 
    
    
    192  | 
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    	    				ICOPY_ELT(f2, tp2, i);  | 
    
    
    193  | 
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    	    			} else { | 
    
    
    194  | 
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    	    				CCOPY_LIST(f1, tp2, b);  | 
    
    
    195  | 
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    	    				CCOPY_ELT(f2, tp2, i);  | 
    
    
    196  | 
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    	    			}  | 
    
    
    197  | 
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    	    		}  | 
    
    
    198  | 
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    	    	}  | 
    
    
    199  | 
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    	    	if (f2 < l2) { | 
    
    
    200  | 
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    	    		if (iflag)  | 
    
    
    201  | 
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    	    			ICOPY_LIST(f2, tp2, l2);  | 
    
    
    202  | 
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    	    		else  | 
    
    
    203  | 
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    	    			CCOPY_LIST(f2, tp2, l2);  | 
    
    
    204  | 
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    	    	} else if (f1 < l1) { | 
    
    
    205  | 
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    	    		if (iflag)  | 
    
    
    206  | 
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    	    			ICOPY_LIST(f1, tp2, l1);  | 
    
    
    207  | 
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    	    		else  | 
    
    
    208  | 
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    	    			CCOPY_LIST(f1, tp2, l1);  | 
    
    
    209  | 
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    	    	}  | 
    
    
    210  | 
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    	    	*p1 = l2;  | 
    
    
    211  | 
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    	    }  | 
    
    
    212  | 
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    	    tp2 = list1;	/* swap list1, list2 */  | 
    
    
    213  | 
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    	    list1 = list2;  | 
    
    
    214  | 
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    	    list2 = tp2;  | 
    
    
    215  | 
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    	    last = list2 + nmemb*size;  | 
    
    
    216  | 
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    	}  | 
    
    
    217  | 
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    	if (base == list2) { | 
    
    
    218  | 
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    		memmove(list2, list1, nmemb*size);  | 
    
    
    219  | 
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    		list2 = list1;  | 
    
    
    220  | 
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    	}  | 
    
    
    221  | 
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    	free(list2);  | 
    
    
    222  | 
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    	return (0);  | 
    
    
    223  | 
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    }  | 
    
    
    224  | 
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    225  | 
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    #define	swap(a, b) {					\ | 
    
    
    226  | 
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    		s = b;					\  | 
    
    
    227  | 
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    		i = size;				\  | 
    
    
    228  | 
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    		do {					\ | 
    
    
    229  | 
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    			tmp = *a; *a++ = *s; *s++ = tmp; \  | 
    
    
    230  | 
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    		} while (--i);				\  | 
    
    
    231  | 
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    		a -= size;				\  | 
    
    
    232  | 
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    	}  | 
    
    
    233  | 
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    #define reverse(bot, top) {				\ | 
    
    
    234  | 
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    	s = top;					\  | 
    
    
    235  | 
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    	do {						\ | 
    
    
    236  | 
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    		i = size;				\  | 
    
    
    237  | 
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    		do {					\ | 
    
    
    238  | 
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    			tmp = *bot; *bot++ = *s; *s++ = tmp; \  | 
    
    
    239  | 
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    		} while (--i);				\  | 
    
    
    240  | 
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    		s -= size2;				\  | 
    
    
    241  | 
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    	} while(bot < s);				\  | 
    
    
    242  | 
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    }  | 
    
    
    243  | 
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    244  | 
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    /*  | 
    
    
    245  | 
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     * Optional hybrid natural/pairwise first pass.  Eats up list1 in runs of  | 
    
    
    246  | 
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     * increasing order, list2 in a corresponding linked list.  Checks for runs  | 
    
    
    247  | 
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     * when THRESHOLD/2 pairs compare with same sense.  (Only used when NATURAL  | 
    
    
    248  | 
     | 
     | 
     * is defined.  Otherwise simple pairwise merging is used.)  | 
    
    
    249  | 
     | 
     | 
     */  | 
    
    
    250  | 
     | 
     | 
    void  | 
    
    
    251  | 
     | 
     | 
    setup(u_char *list1, u_char *list2, size_t n, size_t size,  | 
    
    
    252  | 
     | 
     | 
        int (*cmp)(const void *, const void *))  | 
    
    
    253  | 
     | 
     | 
    { | 
    
    
    254  | 
     | 
     | 
    	int i, length, size2, sense;  | 
    
    
    255  | 
     | 
     | 
    	u_char tmp, *f1, *f2, *s, *l2, *last, *p2;  | 
    
    
    256  | 
     | 
     | 
     | 
    
    
    257  | 
     | 
     | 
    	size2 = size*2;  | 
    
    
    258  | 
     | 
     | 
    	if (n <= 5) { | 
    
    
    259  | 
     | 
     | 
    		insertionsort(list1, n, size, cmp);  | 
    
    
    260  | 
     | 
     | 
    		*EVAL(list2) = (u_char*) list2 + n*size;  | 
    
    
    261  | 
     | 
     | 
    		return;  | 
    
    
    262  | 
     | 
     | 
    	}  | 
    
    
    263  | 
     | 
     | 
    	/*  | 
    
    
    264  | 
     | 
     | 
    	 * Avoid running pointers out of bounds; limit n to evens  | 
    
    
    265  | 
     | 
     | 
    	 * for simplicity.  | 
    
    
    266  | 
     | 
     | 
    	 */  | 
    
    
    267  | 
     | 
     | 
    	i = 4 + (n & 1);  | 
    
    
    268  | 
     | 
     | 
    	insertionsort(list1 + (n - i) * size, i, size, cmp);  | 
    
    
    269  | 
     | 
     | 
    	last = list1 + size * (n - i);  | 
    
    
    270  | 
     | 
     | 
    	*EVAL(list2 + (last - list1)) = list2 + n * size;  | 
    
    
    271  | 
     | 
     | 
     | 
    
    
    272  | 
     | 
     | 
    #ifdef NATURAL  | 
    
    
    273  | 
     | 
     | 
    	p2 = list2;  | 
    
    
    274  | 
     | 
     | 
    	f1 = list1;  | 
    
    
    275  | 
     | 
     | 
    	sense = (cmp(f1, f1 + size) > 0);  | 
    
    
    276  | 
     | 
     | 
    	for (; f1 < last; sense = !sense) { | 
    
    
    277  | 
     | 
     | 
    		length = 2;  | 
    
    
    278  | 
     | 
     | 
    					/* Find pairs with same sense. */  | 
    
    
    279  | 
     | 
     | 
    		for (f2 = f1 + size2; f2 < last; f2 += size2) { | 
    
    
    280  | 
     | 
     | 
    			if ((cmp(f2, f2+ size) > 0) != sense)  | 
    
    
    281  | 
     | 
     | 
    				break;  | 
    
    
    282  | 
     | 
     | 
    			length += 2;  | 
    
    
    283  | 
     | 
     | 
    		}  | 
    
    
    284  | 
     | 
     | 
    		if (length < THRESHOLD) {		/* Pairwise merge */ | 
    
    
    285  | 
     | 
     | 
    			do { | 
    
    
    286  | 
     | 
     | 
    				p2 = *EVAL(p2) = f1 + size2 - list1 + list2;  | 
    
    
    287  | 
     | 
     | 
    				if (sense > 0)  | 
    
    
    288  | 
     | 
     | 
    					swap (f1, f1 + size);  | 
    
    
    289  | 
     | 
     | 
    			} while ((f1 += size2) < f2);  | 
    
    
    290  | 
     | 
     | 
    		} else {				/* Natural merge */ | 
    
    
    291  | 
     | 
     | 
    			l2 = f2;  | 
    
    
    292  | 
     | 
     | 
    			for (f2 = f1 + size2; f2 < l2; f2 += size2) { | 
    
    
    293  | 
     | 
     | 
    				if ((cmp(f2-size, f2) > 0) != sense) { | 
    
    
    294  | 
     | 
     | 
    					p2 = *EVAL(p2) = f2 - list1 + list2;  | 
    
    
    295  | 
     | 
     | 
    					if (sense > 0)  | 
    
    
    296  | 
     | 
     | 
    						reverse(f1, f2-size);  | 
    
    
    297  | 
     | 
     | 
    					f1 = f2;  | 
    
    
    298  | 
     | 
     | 
    				}  | 
    
    
    299  | 
     | 
     | 
    			}  | 
    
    
    300  | 
     | 
     | 
    			if (sense > 0)  | 
    
    
    301  | 
     | 
     | 
    				reverse (f1, f2-size);  | 
    
    
    302  | 
     | 
     | 
    			f1 = f2;  | 
    
    
    303  | 
     | 
     | 
    			if (f2 < last || cmp(f2 - size, f2) > 0)  | 
    
    
    304  | 
     | 
     | 
    				p2 = *EVAL(p2) = f2 - list1 + list2;  | 
    
    
    305  | 
     | 
     | 
    			else  | 
    
    
    306  | 
     | 
     | 
    				p2 = *EVAL(p2) = list2 + n*size;  | 
    
    
    307  | 
     | 
     | 
    		}  | 
    
    
    308  | 
     | 
     | 
    	}  | 
    
    
    309  | 
     | 
     | 
    #else		/* pairwise merge only. */  | 
    
    
    310  | 
     | 
     | 
    	for (f1 = list1, p2 = list2; f1 < last; f1 += size2) { | 
    
    
    311  | 
     | 
     | 
    		p2 = *EVAL(p2) = p2 + size2;  | 
    
    
    312  | 
     | 
     | 
    		if (cmp (f1, f1 + size) > 0)  | 
    
    
    313  | 
     | 
     | 
    			swap(f1, f1 + size);  | 
    
    
    314  | 
     | 
     | 
    	}  | 
    
    
    315  | 
     | 
     | 
    #endif /* NATURAL */  | 
    
    
    316  | 
     | 
     | 
    }  | 
    
    
    317  | 
     | 
     | 
     | 
    
    
    318  | 
     | 
     | 
    /*  | 
    
    
    319  | 
     | 
     | 
     * This is to avoid out-of-bounds addresses in sorting the  | 
    
    
    320  | 
     | 
     | 
     * last 4 elements.  | 
    
    
    321  | 
     | 
     | 
     */  | 
    
    
    322  | 
     | 
     | 
    static void  | 
    
    
    323  | 
     | 
     | 
    insertionsort(u_char *a, size_t n, size_t size,  | 
    
    
    324  | 
     | 
     | 
        int (*cmp)(const void *, const void *))  | 
    
    
    325  | 
     | 
     | 
    { | 
    
    
    326  | 
     | 
     | 
    	u_char *ai, *s, *t, *u, tmp;  | 
    
    
    327  | 
     | 
     | 
    	int i;  | 
    
    
    328  | 
     | 
     | 
     | 
    
    
    329  | 
     | 
     | 
    	for (ai = a+size; --n >= 1; ai += size)  | 
    
    
    330  | 
     | 
     | 
    		for (t = ai; t > a; t -= size) { | 
    
    
    331  | 
     | 
     | 
    			u = t - size;  | 
    
    
    332  | 
     | 
     | 
    			if (cmp(u, t) <= 0)  | 
    
    
    333  | 
     | 
     | 
    				break;  | 
    
    
    334  | 
     | 
     | 
    			swap(u, t);  | 
    
    
    335  | 
     | 
     | 
    		}  | 
    
    
    336  | 
     | 
     | 
    }  |