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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 }