xref: /netbsd-src/external/lgpl3/gmp/dist/mpz/mul.c (revision 796c32c94f6e154afc9de0f63da35c91bb739b45)
1 /* mpz_mul -- Multiply two integers.
2 
3 Copyright 1991, 1993, 1994, 1996, 2000, 2001, 2005, 2009, 2011, 2012 Free
4 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 <stdio.h> /* for NULL */
33 #include "gmp.h"
34 #include "gmp-impl.h"
35 
36 
37 void
38 mpz_mul (mpz_ptr w, mpz_srcptr u, mpz_srcptr v)
39 {
40   mp_size_t usize;
41   mp_size_t vsize;
42   mp_size_t wsize;
43   mp_size_t sign_product;
44   mp_ptr up, vp;
45   mp_ptr wp;
46   mp_ptr free_me;
47   size_t free_me_size;
48   mp_limb_t cy_limb;
49   TMP_DECL;
50 
51   usize = SIZ (u);
52   vsize = SIZ (v);
53   sign_product = usize ^ vsize;
54   usize = ABS (usize);
55   vsize = ABS (vsize);
56 
57   if (usize < vsize)
58     {
59       MPZ_SRCPTR_SWAP (u, v);
60       MP_SIZE_T_SWAP (usize, vsize);
61     }
62 
63   if (vsize == 0)
64     {
65       SIZ (w) = 0;
66       return;
67     }
68 
69 #if HAVE_NATIVE_mpn_mul_2
70   if (vsize <= 2)
71     {
72       wp = MPZ_REALLOC (w, usize+vsize);
73       if (vsize == 1)
74 	cy_limb = mpn_mul_1 (wp, PTR (u), usize, PTR (v)[0]);
75       else
76 	{
77 	  cy_limb = mpn_mul_2 (wp, PTR (u), usize, PTR (v));
78 	  usize++;
79 	}
80       wp[usize] = cy_limb;
81       usize += (cy_limb != 0);
82       SIZ (w) = (sign_product >= 0 ? usize : -usize);
83       return;
84     }
85 #else
86   if (vsize == 1)
87     {
88       wp = MPZ_REALLOC (w, usize+1);
89       cy_limb = mpn_mul_1 (wp, PTR (u), usize, PTR (v)[0]);
90       wp[usize] = cy_limb;
91       usize += (cy_limb != 0);
92       SIZ (w) = (sign_product >= 0 ? usize : -usize);
93       return;
94     }
95 #endif
96 
97   TMP_MARK;
98   free_me = NULL;
99   up = PTR (u);
100   vp = PTR (v);
101   wp = PTR (w);
102 
103   /* Ensure W has space enough to store the result.  */
104   wsize = usize + vsize;
105   if (ALLOC (w) < wsize)
106     {
107       if (wp == up || wp == vp)
108 	{
109 	  free_me = wp;
110 	  free_me_size = ALLOC (w);
111 	}
112       else
113 	(*__gmp_free_func) (wp, (size_t) ALLOC (w) * GMP_LIMB_BYTES);
114 
115       ALLOC (w) = wsize;
116       wp = __GMP_ALLOCATE_FUNC_LIMBS (wsize);
117       PTR (w) = wp;
118     }
119   else
120     {
121       /* Make U and V not overlap with W.  */
122       if (wp == up)
123 	{
124 	  /* W and U are identical.  Allocate temporary space for U.  */
125 	  up = TMP_ALLOC_LIMBS (usize);
126 	  /* Is V identical too?  Keep it identical with U.  */
127 	  if (wp == vp)
128 	    vp = up;
129 	  /* Copy to the temporary space.  */
130 	  MPN_COPY (up, wp, usize);
131 	}
132       else if (wp == vp)
133 	{
134 	  /* W and V are identical.  Allocate temporary space for V.  */
135 	  vp = TMP_ALLOC_LIMBS (vsize);
136 	  /* Copy to the temporary space.  */
137 	  MPN_COPY (vp, wp, vsize);
138 	}
139     }
140 
141   if (up == vp)
142     {
143       mpn_sqr (wp, up, usize);
144       cy_limb = wp[wsize - 1];
145     }
146   else
147     {
148       cy_limb = mpn_mul (wp, up, usize, vp, vsize);
149     }
150 
151   wsize -= cy_limb == 0;
152 
153   SIZ (w) = sign_product < 0 ? -wsize : wsize;
154   if (free_me != NULL)
155     (*__gmp_free_func) (free_me, free_me_size * GMP_LIMB_BYTES);
156   TMP_FREE;
157 }
158