1 /* mpz_ior -- Logical inclusive or.
2 
3 Copyright 1991, 1993, 1994, 1996, 1997, 2000, 2001, 2005, 2012, 2013,
4 2015-2018 Free Software Foundation, Inc.
5 
6 This file is part of the GNU MP Library.
7 
8 The GNU MP Library is free software; you can redistribute it and/or modify
9 it under the terms of either:
10 
11   * the GNU Lesser General Public License as published by the Free
12     Software Foundation; either version 3 of the License, or (at your
13     option) any later version.
14 
15 or
16 
17   * the GNU General Public License as published by the Free Software
18     Foundation; either version 2 of the License, or (at your option) any
19     later version.
20 
21 or both in parallel, as here.
22 
23 The GNU MP Library is distributed in the hope that it will be useful, but
24 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
25 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
26 for more details.
27 
28 You should have received copies of the GNU General Public License and the
29 GNU Lesser General Public License along with the GNU MP Library.  If not,
30 see https://www.gnu.org/licenses/.  */
31 
32 #include "gmp-impl.h"
33 
34 void
mpz_ior(mpz_ptr res,mpz_srcptr op1,mpz_srcptr op2)35 mpz_ior (mpz_ptr res, mpz_srcptr op1, mpz_srcptr op2)
36 {
37   mp_srcptr op1_ptr, op2_ptr;
38   mp_size_t op1_size, op2_size;
39   mp_ptr res_ptr;
40   mp_size_t res_size;
41   mp_size_t i;
42 
43   op1_size = SIZ(op1);
44   op2_size = SIZ(op2);
45 
46   if (op1_size < op2_size)
47     {
48       MPZ_SRCPTR_SWAP (op1, op2);
49       MP_SIZE_T_SWAP (op1_size, op2_size);
50     }
51 
52   op1_ptr = PTR(op1);
53   res_ptr = PTR(res);
54 
55   if (op2_size >= 0)
56     {
57       if (res_ptr != op1_ptr)
58           {
59             res_ptr = MPZ_REALLOC (res, op1_size);
60             /* No overlapping possible: op1_ptr = PTR(op1); */
61             MPN_COPY (res_ptr + op2_size, op1_ptr + op2_size,
62                         op1_size - op2_size);
63           }
64       if (LIKELY (op2_size != 0))
65           mpn_ior_n (res_ptr, op1_ptr, PTR(op2), op2_size);
66 
67       SIZ(res) = op1_size;
68     }
69   else
70     {
71       mp_ptr opx;
72       TMP_DECL;
73 
74       TMP_MARK;
75       if (op1_size < 0)
76           {
77             mp_ptr opy;
78 
79             /* Both operands are negative, so will be the result.
80                -((-OP1) | (-OP2)) = -(~(OP1 - 1) | ~(OP2 - 1)) =
81                = ~(~(OP1 - 1) | ~(OP2 - 1)) + 1 =
82                = ((OP1 - 1) & (OP2 - 1)) + 1      */
83 
84             res_size = -op1_size;
85 
86             /* Possible optimization: Decrease mpn_sub precision,
87                as we won't use the entire res of both.  */
88             TMP_ALLOC_LIMBS_2 (opx, res_size, opy, res_size);
89             mpn_sub_1 (opx, op1_ptr, res_size, (mp_limb_t) 1);
90             op1_ptr = opx;
91 
92             mpn_sub_1 (opy, PTR(op2), res_size, (mp_limb_t) 1);
93             op2_ptr = opy;
94 
95             /* First loop finds the size of the result.  */
96             for (i = res_size; --i >= 0;)
97               if ((op1_ptr[i] & op2_ptr[i]) != 0)
98                 break;
99             res_size = i + 1;
100 
101             res_ptr = MPZ_NEWALLOC (res, res_size + 1);
102 
103             if (res_size != 0)
104               {
105                 /* Second loop computes the real result.  */
106                 mpn_and_n (res_ptr, op1_ptr, op2_ptr, res_size);
107 
108                 res_ptr[res_size] = 0;
109                 MPN_INCR_U (res_ptr, res_size + 1, 1);
110                 res_size += res_ptr[res_size];
111               }
112             else
113               {
114                 res_ptr[0] = 1;
115                 res_size = 1;
116               }
117 
118             SIZ(res) = -res_size;
119           }
120       else
121           {
122             mp_limb_t cy;
123             mp_size_t count;
124 
125             /* Operand 2 negative, so will be the result.
126                -(OP1 | (-OP2)) = -(OP1 | ~(OP2 - 1)) =
127                = ~(OP1 | ~(OP2 - 1)) + 1 =
128                = (~OP1 & (OP2 - 1)) + 1      */
129 
130             op2_size = -op2_size;
131 
132             res_ptr = MPZ_REALLOC (res, op2_size);
133             op1_ptr = PTR(op1);
134 
135             opx = TMP_ALLOC_LIMBS (op2_size);
136             mpn_sub_1 (opx, PTR(op2), op2_size, (mp_limb_t) 1);
137             op2_ptr = opx;
138             op2_size -= op2_ptr[op2_size - 1] == 0;
139 
140             if (op1_size >= op2_size)
141               {
142                 /* We can just ignore the part of OP1 that stretches above OP2,
143                      because the result limbs are zero there.  */
144 
145                 /* First loop finds the size of the result.  */
146                 for (i = op2_size; --i >= 0;)
147                     if ((~op1_ptr[i] & op2_ptr[i]) != 0)
148                       break;
149                 res_size = i + 1;
150                 count = res_size;
151               }
152             else
153               {
154                 res_size = op2_size;
155 
156                 /* Copy the part of OP2 that stretches above OP1, to RES.  */
157                 MPN_COPY (res_ptr + op1_size, op2_ptr + op1_size, op2_size - op1_size);
158                 count = op1_size;
159               }
160 
161             if (res_size != 0)
162               {
163                 /* Second loop computes the real result.  */
164                 if (LIKELY (count != 0))
165                     mpn_andn_n (res_ptr, op2_ptr, op1_ptr, count);
166 
167                 cy = mpn_add_1 (res_ptr, res_ptr, res_size, (mp_limb_t) 1);
168                 if (cy)
169                     {
170                       res_ptr[res_size] = cy;
171                       ++res_size;
172                     }
173               }
174             else
175               {
176                 res_ptr[0] = 1;
177                 res_size = 1;
178               }
179 
180             SIZ(res) = -res_size;
181           }
182       TMP_FREE;
183     }
184 }
185