1 /* mpz_cdiv_r_2exp, mpz_fdiv_r_2exp -- remainder from mpz divided by 2^n.
2
3 Copyright 2001, 2002, 2004 Free Software Foundation, Inc.
4
5 This file is part of the GNU MP Library.
6
7 The GNU MP Library is free software; you can redistribute it and/or modify
8 it under the terms of the GNU Lesser General Public License as published by
9 the Free Software Foundation; either version 3 of the License, or (at your
10 option) any later version.
11
12 The GNU MP Library is distributed in the hope that it will be useful, but
13 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
14 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
15 License for more details.
16
17 You should have received a copy of the GNU Lesser General Public License
18 along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
19
20 #include "gmp.h"
21 #include "gmp-impl.h"
22
23
24 /* Bit mask of "n" least significant bits of a limb. */
25 #define LOW_MASK(n) ((CNST_LIMB(1) << (n)) - 1)
26
27
28 /* dir==1 for ceil, dir==-1 for floor */
29
30 static void __gmpz_cfdiv_r_2exp __GMP_PROTO ((REGPARM_3_1 (mpz_ptr, mpz_srcptr, mp_bitcnt_t, int))) REGPARM_ATTR (1);
31 #define cfdiv_r_2exp(w,u,cnt,dir) __gmpz_cfdiv_r_2exp (REGPARM_3_1 (w, u, cnt, dir))
32
33 REGPARM_ATTR (1) static void
cfdiv_r_2exp(mpz_ptr w,mpz_srcptr u,mp_bitcnt_t cnt,int dir)34 cfdiv_r_2exp (mpz_ptr w, mpz_srcptr u, mp_bitcnt_t cnt, int dir)
35 {
36 mp_size_t usize, abs_usize, limb_cnt, i;
37 mp_srcptr up;
38 mp_ptr wp;
39 mp_limb_t high;
40
41 usize = SIZ(u);
42 if (usize == 0)
43 {
44 SIZ(w) = 0;
45 return;
46 }
47
48 limb_cnt = cnt / GMP_NUMB_BITS;
49 cnt %= GMP_NUMB_BITS;
50 abs_usize = ABS (usize);
51
52 /* MPZ_REALLOC(w) below is only when w!=u, so we can fetch PTR(u) here
53 nice and early */
54 up = PTR(u);
55
56 if ((usize ^ dir) < 0)
57 {
58 /* Round towards zero, means just truncate */
59
60 if (w == u)
61 {
62 /* if already smaller than limb_cnt then do nothing */
63 if (abs_usize <= limb_cnt)
64 return;
65 wp = PTR(w);
66 }
67 else
68 {
69 i = MIN (abs_usize, limb_cnt+1);
70 MPZ_REALLOC (w, i);
71 wp = PTR(w);
72 MPN_COPY (wp, up, i);
73
74 /* if smaller than limb_cnt then only the copy is needed */
75 if (abs_usize <= limb_cnt)
76 {
77 SIZ(w) = usize;
78 return;
79 }
80 }
81 }
82 else
83 {
84 /* Round away from zero, means twos complement if non-zero */
85
86 /* if u!=0 and smaller than divisor, then must negate */
87 if (abs_usize <= limb_cnt)
88 goto negate;
89
90 /* if non-zero low limb, then must negate */
91 for (i = 0; i < limb_cnt; i++)
92 if (up[i] != 0)
93 goto negate;
94
95 /* if non-zero partial limb, then must negate */
96 if ((up[limb_cnt] & LOW_MASK (cnt)) != 0)
97 goto negate;
98
99 /* otherwise low bits of u are zero, so that's the result */
100 SIZ(w) = 0;
101 return;
102
103 negate:
104 /* twos complement negation to get 2**cnt-u */
105
106 MPZ_REALLOC (w, limb_cnt+1);
107 up = PTR(u);
108 wp = PTR(w);
109
110 /* Ones complement */
111 i = MIN (abs_usize, limb_cnt+1);
112 mpn_com (wp, up, i);
113 for ( ; i <= limb_cnt; i++)
114 wp[i] = GMP_NUMB_MAX;
115
116 /* Twos complement. Since u!=0 in the relevant part, the twos
117 complement never gives 0 and a carry, so can use MPN_INCR_U. */
118 MPN_INCR_U (wp, limb_cnt+1, CNST_LIMB(1));
119
120 usize = -usize;
121 }
122
123 /* Mask the high limb */
124 high = wp[limb_cnt];
125 high &= LOW_MASK (cnt);
126 wp[limb_cnt] = high;
127
128 /* Strip any consequent high zeros */
129 while (high == 0)
130 {
131 limb_cnt--;
132 if (limb_cnt < 0)
133 {
134 SIZ(w) = 0;
135 return;
136 }
137 high = wp[limb_cnt];
138 }
139
140 limb_cnt++;
141 SIZ(w) = (usize >= 0 ? limb_cnt : -limb_cnt);
142 }
143
144
145 void
mpz_cdiv_r_2exp(mpz_ptr w,mpz_srcptr u,mp_bitcnt_t cnt)146 mpz_cdiv_r_2exp (mpz_ptr w, mpz_srcptr u, mp_bitcnt_t cnt)
147 {
148 cfdiv_r_2exp (w, u, cnt, 1);
149 }
150
151 void
mpz_fdiv_r_2exp(mpz_ptr w,mpz_srcptr u,mp_bitcnt_t cnt)152 mpz_fdiv_r_2exp (mpz_ptr w, mpz_srcptr u, mp_bitcnt_t cnt)
153 {
154 cfdiv_r_2exp (w, u, cnt, -1);
155 }
156