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zdivmod.c - libzahl - big integer library
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zdivmod.c (1979B)
---
1 /* See LICENSE file for copyright and license details. */
2 #include "internals.h"
3
4 #define ta libzahl_tmp_divmod_a
5 #define tb libzahl_tmp_divmod_b
6 #define td libzahl_tmp_divmod_d
7 #define tds_proper libzahl_tmp_divmod_ds
8
9
10 static inline void
11 zdivmod_impl(z_t a, z_t b, z_t c, z_t d)
12 {
13 size_t c_bits, d_bits, bit, i;
14 static z_t tds[BITS_PER_CHAR];
15
16 c_bits = zbits(c);
17 d_bits = zbits(d);
18
19 bit = c_bits - d_bits;
20 zlsh(td, d, bit);
21 SET_SIGNUM(td, 1);
22 if (zcmpmag(td, c) > 0) {
23 zrsh(td, td, 1);
24 bit -= 1;
25 }
26
27 SET_SIGNUM(ta, 0);
28 zabs(tb, c);
29
30 if (unlikely(bit <= BITS_PER_CHAR)) {
31 for (;;) {
32 if (zcmpmag(td, tb) <= 0) {
33 zsub_unsigned(tb, tb, td);
34 zbset(ta, ta, bit, 1);
35 }
36 if (!bit-- || zzero(tb))
37 goto done;
38 zrsh(td, td, 1);
39 }
40 } else {
41 for (i = 0; i < BITS_PER_CHAR; i++) {
42 zrsh(tds_proper[i], td, i);
43 tds[i]->used = tds_proper[i]->used;
44 tds[i]->sign = tds_proper[i]->sign;
45 tds[i]->chars = tds_proper[i]->chars;
46 }
47 for (;;) {
48 for (i = 0; i < BITS_PER_CHAR; i++) {
49 if (zcmpmag(tds[i], tb) <= 0) {
50 zsub_unsigned(tb, tb, tds[i]);
51 zbset(ta, ta, bit, 1);
52 }
53 if (!bit-- || zzero(tb))
54 goto done;
55 }
56 for (i = MIN(bit, BITS_PER_CHAR - 1) + 1; i--;)
57 zrsh_taint(tds[i], BITS_PER_CHAR);
58 }
59 }
60 done:
61
62 zswap(a, ta);
63 zswap(b, tb);
64 }
65
66
67 void
68 zdivmod(z_t a, z_t b, z_t c, z_t d)
69 {
70 int c_sign, sign, cmpmag;
71
72 c_sign = zsignum(c);
73 sign = c_sign * zsignum(d);
74
75 if (unlikely(!sign)) {
76 if (check(!zzero(c))) {
77 libzahl_failure(-ZERROR_DIV_0);
78 } else if (check(zzero(d))) {
79 libzahl_failure(-ZERROR_0_DIV_0);
80 } else {
81 SET_SIGNUM(a, 0);
82 SET_SIGNUM(b, 0);
83 }
84 return;
85 } else if (cmpmag = zcmpmag(c, d), unlikely(cmpmag <= 0)) {
86 if (unlikely(cmpmag == 0)) {
87 zseti(a, sign);
88 SET_SIGNUM(b, 0);
89 } else {
90 SET(b, c);
91 SET_SIGNUM(a, 0);
92 }
93 return;
94 }
95
96 zdivmod_impl(a, b, c, d);
97 SET_SIGNUM(a, sign);
98 if (zsignum(b) > 0)
99 SET_SIGNUM(b, c_sign);
100 }
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