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Side by Side Diff: gcc/gmp/mpn/generic/sb_bdiv_qr.c

Issue 3050029: [gcc] GCC 4.5.0=>4.5.1 (Closed) Base URL: ssh://git@gitrw.chromium.org:9222/nacl-toolchain.git
Patch Set: Created 10 years, 4 months ago
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1 /* mpn_sb_bdiv_qr -- schoolbook Hensel division with precomputed inverse,
2 returning quotient and remainder.
3
4 Contributed to the GNU project by Niels Möller.
5
6 THE FUNCTIONS IN THIS FILE ARE INTERNAL FUNCTIONS WITH MUTABLE INTERFACES.
7 IT IS ONLY SAFE TO REACH THEM THROUGH DOCUMENTED INTERFACES.
8
9 Copyright 2006 Free Software Foundation, Inc.
10
11 This file is part of the GNU MP Library.
12
13 The GNU MP Library is free software; you can redistribute it and/or modify
14 it under the terms of the GNU Lesser General Public License as published by
15 the Free Software Foundation; either version 3 of the License, or (at your
16 option) any later version.
17
18 The GNU MP Library is distributed in the hope that it will be useful, but
19 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
20 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
21 License for more details.
22
23 You should have received a copy of the GNU Lesser General Public License
24 along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
25
26 #include "gmp.h"
27 #include "gmp-impl.h"
28
29
30 /* Computes a binary quotient of size qn = nn - dn.
31 Output:
32
33 Q = N * D^{-1} mod B^qn,
34
35 R = (N - Q * D) * B^(-qn)
36
37 Stores the dn least significant limbs of R at {np + nn - dn, dn},
38 and returns the borrow from the subtraction N - Q*D.
39
40 D must be odd. dinv is (-D)^-1 mod B. */
41
42 mp_limb_t
43 mpn_sb_bdiv_qr (mp_ptr qp,
44 mp_ptr np, mp_size_t nn,
45 mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)
46 {
47 mp_size_t qn;
48 mp_size_t i;
49 mp_limb_t rh;
50 mp_limb_t ql;
51
52 ASSERT (nn > 0);
53 ASSERT (dn > 0);
54 ASSERT (nn > dn);
55 ASSERT (dp[0] & 1);
56
57 qn = nn - dn;
58
59 rh = 0;
60
61 /* To complete the negation, this value is added to q. */
62 ql = 1;
63 while (qn > dn)
64 {
65 for (i = 0; i < dn; i++)
66 {
67 mp_limb_t q;
68
69 q = dinv * np[i];
70 qp[i] = ~q;
71
72 np[i] = mpn_addmul_1 (np + i, dp, dn, q);
73 }
74 rh += mpn_add (np + dn, np + dn, qn, np, dn);
75 ql = mpn_add_1 (qp, qp, dn, ql);
76
77 qp += dn; qn -= dn;
78 np += dn; nn -= dn;
79 }
80
81 for (i = 0; i < qn; i++)
82 {
83 mp_limb_t q;
84
85 q = dinv * np[i];
86 qp[i] = ~q;
87
88 np[i] = mpn_addmul_1 (np + i, dp, dn, q);
89 }
90
91 rh += mpn_add_n (np + dn, np + dn, np, qn);
92 ql = mpn_add_1 (qp, qp, qn, ql);
93
94 if (UNLIKELY (ql > 0))
95 {
96 /* q == 0 */
97 ASSERT (rh == 0);
98 return 0;
99 }
100 else
101 {
102 mp_limb_t cy;
103
104 cy = mpn_sub_n (np + qn, np + qn, dp, dn);
105 ASSERT (cy >= rh);
106 return cy - rh;
107 }
108 }
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