xref: /netbsd-src/external/lgpl3/gmp/dist/mpf/eq.c (revision 72c7faa4dbb41dbb0238d6b4a109da0d4b236dd4)
1 /* mpf_eq -- Compare two floats up to a specified bit #.
2 
3 Copyright 1993, 1995, 1996, 2001, 2002, 2008, 2009, 2012 Free Software
4 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 "gmp-impl.h"
33 #include "longlong.h"
34 
35 int
mpf_eq(mpf_srcptr u,mpf_srcptr v,mp_bitcnt_t n_bits)36 mpf_eq (mpf_srcptr u, mpf_srcptr v, mp_bitcnt_t n_bits)
37 {
38   mp_srcptr up, vp, p;
39   mp_size_t usize, vsize, minsize, maxsize, n_limbs, i, size;
40   mp_exp_t uexp, vexp;
41   mp_limb_t diff;
42   int cnt;
43 
44   uexp = u->_mp_exp;
45   vexp = v->_mp_exp;
46 
47   usize = u->_mp_size;
48   vsize = v->_mp_size;
49 
50   /* 1. Are the signs different?  */
51   if ((usize ^ vsize) >= 0)
52     {
53       /* U and V are both non-negative or both negative.  */
54       if (usize == 0)
55 	return vsize == 0;
56       if (vsize == 0)
57 	return 0;
58 
59       /* Fall out.  */
60     }
61   else
62     {
63       /* Either U or V is negative, but not both.  */
64       return 0;
65     }
66 
67   /* U and V have the same sign and are both non-zero.  */
68 
69   /* 2. Are the exponents different?  */
70   if (uexp != vexp)
71     return 0;
72 
73   usize = ABS (usize);
74   vsize = ABS (vsize);
75 
76   up = u->_mp_d;
77   vp = v->_mp_d;
78 
79   up += usize;			/* point just above most significant limb */
80   vp += vsize;			/* point just above most significant limb */
81 
82   count_leading_zeros (cnt, up[-1]);
83   if ((vp[-1] >> (GMP_LIMB_BITS - 1 - cnt)) != 1)
84     return 0;			/* msb positions different */
85 
86   n_bits += cnt - GMP_NAIL_BITS;
87   n_limbs = (n_bits + GMP_NUMB_BITS - 1) / GMP_NUMB_BITS;
88 
89   usize = MIN (usize, n_limbs);
90   vsize = MIN (vsize, n_limbs);
91 
92 #if 0
93   /* Ignore zeros at the low end of U and V.  */
94   while (up[0] == 0)
95     up++, usize--;
96   while (vp[0] == 0)
97     vp++, vsize--;
98 #endif
99 
100   minsize = MIN (usize, vsize);
101   maxsize = usize + vsize - minsize;
102 
103   up -= minsize;		/* point at most significant common limb */
104   vp -= minsize;		/* point at most significant common limb */
105 
106   /* Compare the most significant part which has explicit limbs for U and V. */
107   for (i = minsize - 1; i > 0; i--)
108     {
109       if (up[i] != vp[i])
110 	return 0;
111     }
112 
113   n_bits -= (maxsize - 1) * GMP_NUMB_BITS;
114 
115   size = maxsize - minsize;
116   if (size != 0)
117     {
118       if (up[0] != vp[0])
119 	return 0;
120 
121       /* Now either U or V has its limbs consumed, i.e, continues with an
122 	 infinite number of implicit zero limbs.  Check that the other operand
123 	 has just zeros in the corresponding, relevant part.  */
124 
125       if (usize > vsize)
126 	p = up - size;
127       else
128 	p = vp - size;
129 
130       for (i = size - 1; i > 0; i--)
131 	{
132 	  if (p[i] != 0)
133 	    return 0;
134 	}
135 
136       diff = p[0];
137     }
138   else
139     {
140       /* Both U or V has its limbs consumed.  */
141 
142       diff = up[0] ^ vp[0];
143     }
144 
145   if (n_bits < GMP_NUMB_BITS)
146     diff >>= GMP_NUMB_BITS - n_bits;
147 
148   return diff == 0;
149 }
150