tdiv_qr.c revision 1.1.1.3 1 1.1 mrg /* mpz_tdiv_qr(quot,rem,dividend,divisor) -- Set QUOT to DIVIDEND/DIVISOR,
2 1.1 mrg and REM to DIVIDEND mod DIVISOR.
3 1.1 mrg
4 1.1.1.2 mrg Copyright 1991, 1993, 1994, 2000, 2001, 2005, 2011, 2012 Free Software
5 1.1.1.2 mrg Foundation, Inc.
6 1.1 mrg
7 1.1 mrg This file is part of the GNU MP Library.
8 1.1 mrg
9 1.1 mrg The GNU MP Library is free software; you can redistribute it and/or modify
10 1.1.1.3 mrg it under the terms of either:
11 1.1.1.3 mrg
12 1.1.1.3 mrg * the GNU Lesser General Public License as published by the Free
13 1.1.1.3 mrg Software Foundation; either version 3 of the License, or (at your
14 1.1.1.3 mrg option) any later version.
15 1.1.1.3 mrg
16 1.1.1.3 mrg or
17 1.1.1.3 mrg
18 1.1.1.3 mrg * the GNU General Public License as published by the Free Software
19 1.1.1.3 mrg Foundation; either version 2 of the License, or (at your option) any
20 1.1.1.3 mrg later version.
21 1.1.1.3 mrg
22 1.1.1.3 mrg or both in parallel, as here.
23 1.1 mrg
24 1.1 mrg The GNU MP Library is distributed in the hope that it will be useful, but
25 1.1 mrg WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
26 1.1.1.3 mrg or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
27 1.1.1.3 mrg for more details.
28 1.1 mrg
29 1.1.1.3 mrg You should have received copies of the GNU General Public License and the
30 1.1.1.3 mrg GNU Lesser General Public License along with the GNU MP Library. If not,
31 1.1.1.3 mrg see https://www.gnu.org/licenses/. */
32 1.1 mrg
33 1.1 mrg #include "gmp.h"
34 1.1 mrg #include "gmp-impl.h"
35 1.1 mrg #include "longlong.h"
36 1.1 mrg
37 1.1 mrg void
38 1.1 mrg mpz_tdiv_qr (mpz_ptr quot, mpz_ptr rem, mpz_srcptr num, mpz_srcptr den)
39 1.1 mrg {
40 1.1 mrg mp_size_t ql;
41 1.1 mrg mp_size_t ns, ds, nl, dl;
42 1.1 mrg mp_ptr np, dp, qp, rp;
43 1.1 mrg TMP_DECL;
44 1.1 mrg
45 1.1 mrg ns = SIZ (num);
46 1.1 mrg ds = SIZ (den);
47 1.1 mrg nl = ABS (ns);
48 1.1 mrg dl = ABS (ds);
49 1.1 mrg ql = nl - dl + 1;
50 1.1 mrg
51 1.1.1.2 mrg if (UNLIKELY (dl == 0))
52 1.1 mrg DIVIDE_BY_ZERO;
53 1.1 mrg
54 1.1.1.2 mrg rp = MPZ_REALLOC (rem, dl);
55 1.1 mrg
56 1.1 mrg if (ql <= 0)
57 1.1 mrg {
58 1.1 mrg if (num != rem)
59 1.1 mrg {
60 1.1 mrg np = PTR (num);
61 1.1 mrg MPN_COPY (rp, np, nl);
62 1.1 mrg SIZ (rem) = SIZ (num);
63 1.1 mrg }
64 1.1 mrg /* This needs to follow the assignment to rem, in case the
65 1.1 mrg numerator and quotient are the same. */
66 1.1 mrg SIZ (quot) = 0;
67 1.1 mrg return;
68 1.1 mrg }
69 1.1 mrg
70 1.1.1.2 mrg qp = MPZ_REALLOC (quot, ql);
71 1.1 mrg
72 1.1 mrg TMP_MARK;
73 1.1 mrg np = PTR (num);
74 1.1 mrg dp = PTR (den);
75 1.1 mrg
76 1.1 mrg /* FIXME: We should think about how to handle the temporary allocation.
77 1.1 mrg Perhaps mpn_tdiv_qr should handle it, since it anyway often needs to
78 1.1 mrg allocate temp space. */
79 1.1 mrg
80 1.1 mrg /* Copy denominator to temporary space if it overlaps with the quotient
81 1.1 mrg or remainder. */
82 1.1 mrg if (dp == rp || dp == qp)
83 1.1 mrg {
84 1.1 mrg mp_ptr tp;
85 1.1 mrg tp = TMP_ALLOC_LIMBS (dl);
86 1.1 mrg MPN_COPY (tp, dp, dl);
87 1.1 mrg dp = tp;
88 1.1 mrg }
89 1.1 mrg /* Copy numerator to temporary space if it overlaps with the quotient or
90 1.1 mrg remainder. */
91 1.1 mrg if (np == rp || np == qp)
92 1.1 mrg {
93 1.1 mrg mp_ptr tp;
94 1.1 mrg tp = TMP_ALLOC_LIMBS (nl);
95 1.1 mrg MPN_COPY (tp, np, nl);
96 1.1 mrg np = tp;
97 1.1 mrg }
98 1.1 mrg
99 1.1 mrg mpn_tdiv_qr (qp, rp, 0L, np, nl, dp, dl);
100 1.1 mrg
101 1.1 mrg ql -= qp[ql - 1] == 0;
102 1.1 mrg MPN_NORMALIZE (rp, dl);
103 1.1 mrg
104 1.1 mrg SIZ (quot) = (ns ^ ds) >= 0 ? ql : -ql;
105 1.1 mrg SIZ (rem) = ns >= 0 ? dl : -dl;
106 1.1 mrg TMP_FREE;
107 1.1 mrg }
108