xref: /netbsd-src/external/lgpl3/gmp/dist/mpz/fdiv_q_ui.c (revision 8585484ef87f5a04d32332313cdb799625f4faf8)
1 /* mpz_fdiv_q_ui -- Division rounding the quotient towards -infinity.
2    The remainder gets the same sign as the denominator.
3 
4 Copyright 1994, 1995, 1996, 1999, 2001, 2002, 2004, 2012 Free Software
5 Foundation, Inc.
6 
7 This file is part of the GNU MP Library.
8 
9 The GNU MP Library is free software; you can redistribute it and/or modify
10 it under the terms of the GNU Lesser General Public License as published by
11 the Free Software Foundation; either version 3 of the License, or (at your
12 option) any later version.
13 
14 The GNU MP Library is distributed in the hope that it will be useful, but
15 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
16 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
17 License for more details.
18 
19 You should have received a copy of the GNU Lesser General Public License
20 along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.  */
21 
22 #include "gmp.h"
23 #include "gmp-impl.h"
24 
25 unsigned long int
26 mpz_fdiv_q_ui (mpz_ptr quot, mpz_srcptr dividend, unsigned long int divisor)
27 {
28   mp_size_t ns, nn, qn;
29   mp_ptr np, qp;
30   mp_limb_t rl;
31 
32   if (UNLIKELY (divisor == 0))
33     DIVIDE_BY_ZERO;
34 
35   ns = SIZ(dividend);
36   if (ns == 0)
37     {
38       SIZ(quot) = 0;
39       return 0;
40     }
41 
42   nn = ABS(ns);
43   qp = MPZ_REALLOC (quot, nn);
44   np = PTR(dividend);
45 
46 #if BITS_PER_ULONG > GMP_NUMB_BITS  /* avoid warnings about shift amount */
47   if (divisor > GMP_NUMB_MAX)
48     {
49       mp_limb_t dp[2], rp[2];
50 
51       if (nn == 1)		/* tdiv_qr requirements; tested above for 0 */
52 	{
53 	  qp[0] = 0;
54 	  rl = np[0];
55 	  qn = 1;		/* a white lie, fixed below */
56 	}
57       else
58 	{
59 	  dp[0] = divisor & GMP_NUMB_MASK;
60 	  dp[1] = divisor >> GMP_NUMB_BITS;
61 	  mpn_tdiv_qr (qp, rp, (mp_size_t) 0, np, nn, dp, (mp_size_t) 2);
62 	  rl = rp[0] + (rp[1] << GMP_NUMB_BITS);
63 	  qn = nn - 2 + 1;
64 	}
65 
66       if (rl != 0 && ns < 0)
67 	{
68 	  mpn_incr_u (qp, (mp_limb_t) 1);
69 	  rl = divisor - rl;
70 	}
71 
72       qn -= qp[qn - 1] == 0; qn -= qn != 0 && qp[qn - 1] == 0;
73     }
74   else
75 #endif
76     {
77       rl = mpn_divrem_1 (qp, (mp_size_t) 0, np, nn, (mp_limb_t) divisor);
78 
79       if (rl != 0 && ns < 0)
80 	{
81 	  mpn_incr_u (qp, (mp_limb_t) 1);
82 	  rl = divisor - rl;
83 	}
84 
85       qn = nn - (qp[nn - 1] == 0);
86     }
87 
88   SIZ(quot) = ns >= 0 ? qn : -qn;
89   return rl;
90 }
91