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dmisc.c revision 1.1.1.2
      1 /****************************************************************
      2 
      3 The author of this software is David M. Gay.
      4 
      5 Copyright (C) 1998 by Lucent Technologies
      6 All Rights Reserved
      7 
      8 Permission to use, copy, modify, and distribute this software and
      9 its documentation for any purpose and without fee is hereby
     10 granted, provided that the above copyright notice appear in all
     11 copies and that both that the copyright notice and this
     12 permission notice and warranty disclaimer appear in supporting
     13 documentation, and that the name of Lucent or any of its entities
     14 not be used in advertising or publicity pertaining to
     15 distribution of the software without specific, written prior
     16 permission.
     17 
     18 LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
     19 INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS.
     20 IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY
     21 SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
     22 WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER
     23 IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
     24 ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF
     25 THIS SOFTWARE.
     26 
     27 ****************************************************************/
     28 
     29 /* Please send bug reports to David M. Gay (dmg at acm dot org,
     30  * with " at " changed at "@" and " dot " changed to ".").	*/
     31 
     32 #include "gdtoaimp.h"
     33 
     34 #ifndef MULTIPLE_THREADS
     35  char *dtoa_result;
     36 #endif
     37 
     38  char *
     39 #ifdef KR_headers
     40 rv_alloc(i) int i;
     41 #else
     42 rv_alloc(int i)
     43 #endif
     44 {
     45 	int j, k, *r;
     46 
     47 	j = sizeof(ULong);
     48 	for(k = 0;
     49 		sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i;
     50 		j <<= 1)
     51 			k++;
     52 	r = (int*)Balloc(k);
     53 	*r = k;
     54 	return
     55 #ifndef MULTIPLE_THREADS
     56 	dtoa_result =
     57 #endif
     58 		(char *)(r+1);
     59 	}
     60 
     61  char *
     62 #ifdef KR_headers
     63 nrv_alloc(s, rve, n) char *s, **rve; int n;
     64 #else
     65 nrv_alloc(char *s, char **rve, int n)
     66 #endif
     67 {
     68 	char *rv, *t;
     69 
     70 	t = rv = rv_alloc(n);
     71 	while((*t = *s++) !=0)
     72 		t++;
     73 	if (rve)
     74 		*rve = t;
     75 	return rv;
     76 	}
     77 
     78 /* freedtoa(s) must be used to free values s returned by dtoa
     79  * when MULTIPLE_THREADS is #defined.  It should be used in all cases,
     80  * but for consistency with earlier versions of dtoa, it is optional
     81  * when MULTIPLE_THREADS is not defined.
     82  */
     83 
     84  void
     85 #ifdef KR_headers
     86 freedtoa(s) char *s;
     87 #else
     88 freedtoa(char *s)
     89 #endif
     90 {
     91 	Bigint *b = (Bigint *)((int *)s - 1);
     92 	b->maxwds = 1 << (b->k = *(int*)b);
     93 	Bfree(b);
     94 #ifndef MULTIPLE_THREADS
     95 	if (s == dtoa_result)
     96 		dtoa_result = 0;
     97 #endif
     98 	}
     99 
    100  int
    101 quorem
    102 #ifdef KR_headers
    103 	(b, S) Bigint *b, *S;
    104 #else
    105 	(Bigint *b, Bigint *S)
    106 #endif
    107 {
    108 	int n;
    109 	ULong *bx, *bxe, q, *sx, *sxe;
    110 #ifdef ULLong
    111 	ULLong borrow, carry, y, ys;
    112 #else
    113 	ULong borrow, carry, y, ys;
    114 #ifdef Pack_32
    115 	ULong si, z, zs;
    116 #endif
    117 #endif
    118 
    119 	n = S->wds;
    120 #ifdef DEBUG
    121 	/*debug*/ if (b->wds > n)
    122 	/*debug*/	Bug("oversize b in quorem");
    123 #endif
    124 	if (b->wds < n)
    125 		return 0;
    126 	sx = S->x;
    127 	sxe = sx + --n;
    128 	bx = b->x;
    129 	bxe = bx + n;
    130 	q = *bxe / (*sxe + 1);	/* ensure q <= true quotient */
    131 #ifdef DEBUG
    132 	/*debug*/ if (q > 9)
    133 	/*debug*/	Bug("oversized quotient in quorem");
    134 #endif
    135 	if (q) {
    136 		borrow = 0;
    137 		carry = 0;
    138 		do {
    139 #ifdef ULLong
    140 			ys = *sx++ * (ULLong)q + carry;
    141 			carry = ys >> 32;
    142 			y = *bx - (ys & 0xffffffffUL) - borrow;
    143 			borrow = y >> 32 & 1UL;
    144 			*bx++ = y & 0xffffffffUL;
    145 #else
    146 #ifdef Pack_32
    147 			si = *sx++;
    148 			ys = (si & 0xffff) * q + carry;
    149 			zs = (si >> 16) * q + (ys >> 16);
    150 			carry = zs >> 16;
    151 			y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
    152 			borrow = (y & 0x10000) >> 16;
    153 			z = (*bx >> 16) - (zs & 0xffff) - borrow;
    154 			borrow = (z & 0x10000) >> 16;
    155 			Storeinc(bx, z, y);
    156 #else
    157 			ys = *sx++ * q + carry;
    158 			carry = ys >> 16;
    159 			y = *bx - (ys & 0xffff) - borrow;
    160 			borrow = (y & 0x10000) >> 16;
    161 			*bx++ = y & 0xffff;
    162 #endif
    163 #endif
    164 			}
    165 			while(sx <= sxe);
    166 		if (!*bxe) {
    167 			bx = b->x;
    168 			while(--bxe > bx && !*bxe)
    169 				--n;
    170 			b->wds = n;
    171 			}
    172 		}
    173 	if (cmp(b, S) >= 0) {
    174 		q++;
    175 		borrow = 0;
    176 		carry = 0;
    177 		bx = b->x;
    178 		sx = S->x;
    179 		do {
    180 #ifdef ULLong
    181 			ys = *sx++ + carry;
    182 			carry = ys >> 32;
    183 			y = *bx - (ys & 0xffffffffUL) - borrow;
    184 			borrow = y >> 32 & 1UL;
    185 			*bx++ = y & 0xffffffffUL;
    186 #else
    187 #ifdef Pack_32
    188 			si = *sx++;
    189 			ys = (si & 0xffff) + carry;
    190 			zs = (si >> 16) + (ys >> 16);
    191 			carry = zs >> 16;
    192 			y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
    193 			borrow = (y & 0x10000) >> 16;
    194 			z = (*bx >> 16) - (zs & 0xffff) - borrow;
    195 			borrow = (z & 0x10000) >> 16;
    196 			Storeinc(bx, z, y);
    197 #else
    198 			ys = *sx++ + carry;
    199 			carry = ys >> 16;
    200 			y = *bx - (ys & 0xffff) - borrow;
    201 			borrow = (y & 0x10000) >> 16;
    202 			*bx++ = y & 0xffff;
    203 #endif
    204 #endif
    205 			}
    206 			while(sx <= sxe);
    207 		bx = b->x;
    208 		bxe = bx + n;
    209 		if (!*bxe) {
    210 			while(--bxe > bx && !*bxe)
    211 				--n;
    212 			b->wds = n;
    213 			}
    214 		}
    215 	return q;
    216 	}
    217