xref: /netbsd-src/external/lgpl3/gmp/dist/mpf/ui_div.c (revision 87d689fb734c654d2486f87f7be32f1b53ecdbec)
1 /* mpf_ui_div -- Divide an unsigned integer with a float.
2 
3 Copyright 1993-1996, 2000-2002, 2004, 2005, 2012 Free Software Foundation, Inc.
4 
5 This file is part of the GNU MP Library.
6 
7 The GNU MP Library is free software; you can redistribute it and/or modify
8 it under the terms of either:
9 
10   * the GNU Lesser General Public License as published by the Free
11     Software Foundation; either version 3 of the License, or (at your
12     option) any later version.
13 
14 or
15 
16   * the GNU General Public License as published by the Free Software
17     Foundation; either version 2 of the License, or (at your option) any
18     later version.
19 
20 or both in parallel, as here.
21 
22 The GNU MP Library is distributed in the hope that it will be useful, but
23 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
24 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
25 for more details.
26 
27 You should have received copies of the GNU General Public License and the
28 GNU Lesser General Public License along with the GNU MP Library.  If not,
29 see https://www.gnu.org/licenses/.  */
30 
31 #include <stdio.h>  /* for NULL */
32 #include "gmp.h"
33 #include "gmp-impl.h"
34 #include "longlong.h"
35 
36 
37 void
38 mpf_ui_div (mpf_ptr r, unsigned long int u, mpf_srcptr v)
39 {
40   mp_srcptr vp;
41   mp_ptr rp, tp, remp, new_vp;
42   mp_size_t vsize;
43   mp_size_t rsize, prospective_rsize, zeros, tsize, high_zero;
44   mp_size_t sign_quotient;
45   mp_size_t prec;
46   mp_exp_t rexp;
47   TMP_DECL;
48 
49   vsize = v->_mp_size;
50   sign_quotient = vsize;
51 
52   if (UNLIKELY (vsize == 0))
53     DIVIDE_BY_ZERO;
54 
55   if (UNLIKELY (u == 0))
56     {
57       r->_mp_size = 0;
58       r->_mp_exp = 0;
59       return;
60     }
61 
62   vsize = ABS (vsize);
63   prec = r->_mp_prec;
64 
65   TMP_MARK;
66   rexp = 1 - v->_mp_exp + 1;
67 
68   rp = r->_mp_d;
69   vp = v->_mp_d;
70 
71   prospective_rsize = 1 - vsize + 1;    /* quot from using given u,v sizes */
72   rsize = prec + 1;                     /* desired quot size */
73 
74   zeros = rsize - prospective_rsize;    /* padding u to give rsize */
75   tsize = 1 + zeros;                    /* u with zeros */
76 
77   if (WANT_TMP_DEBUG)
78     {
79       /* separate alloc blocks, for malloc debugging */
80       remp = TMP_ALLOC_LIMBS (vsize);
81       tp = TMP_ALLOC_LIMBS (tsize);
82       new_vp = NULL;
83       if (rp == vp)
84         new_vp = TMP_ALLOC_LIMBS (vsize);
85     }
86   else
87     {
88       /* one alloc with calculated size, for efficiency */
89       mp_size_t size = vsize + tsize + (rp == vp ? vsize : 0);
90       remp = TMP_ALLOC_LIMBS (size);
91       tp = remp + vsize;
92       new_vp = tp + tsize;
93     }
94 
95   /* ensure divisor doesn't overlap quotient */
96   if (rp == vp)
97     {
98       MPN_COPY (new_vp, vp, vsize);
99       vp = new_vp;
100     }
101 
102   MPN_ZERO (tp, tsize-1);
103 
104   tp[tsize - 1] = u & GMP_NUMB_MASK;
105 #if BITS_PER_ULONG > GMP_NUMB_BITS
106   if (u > GMP_NUMB_MAX)
107     {
108       /* tsize-vsize+1 == rsize, so tsize >= rsize.  rsize == prec+1 >= 2,
109          so tsize >= 2, hence there's room for 2-limb u with nails */
110       ASSERT (tsize >= 2);
111       tp[tsize - 1] = u >> GMP_NUMB_BITS;
112       tp[tsize - 2] = u & GMP_NUMB_MASK;
113       rexp++;
114     }
115 #endif
116 
117   ASSERT (tsize-vsize+1 == rsize);
118   mpn_tdiv_qr (rp, remp, (mp_size_t) 0, tp, tsize, vp, vsize);
119 
120   /* strip possible zero high limb */
121   high_zero = (rp[rsize-1] == 0);
122   rsize -= high_zero;
123   rexp -= high_zero;
124 
125   r->_mp_size = sign_quotient >= 0 ? rsize : -rsize;
126   r->_mp_exp = rexp;
127   TMP_FREE;
128 }
129