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1 /* mpfr_eq -- Compare two floats up to a specified bit #. | |
2 | |
3 Copyright 1999, 2001, 2003, 2004, 2006, 2007, 2008, 2009 Free Software Foundatio
n, Inc. | |
4 Contributed by the Arenaire and Cacao projects, INRIA. | |
5 | |
6 This file is part of the GNU MPFR Library. | |
7 | |
8 The GNU MPFR Library is free software; you can redistribute it and/or modify | |
9 it under the terms of the GNU Lesser General Public License as published by | |
10 the Free Software Foundation; either version 2.1 of the License, or (at your | |
11 option) any later version. | |
12 | |
13 The GNU MPFR Library is distributed in the hope that it will be useful, but | |
14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY | |
15 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public | |
16 License for more details. | |
17 | |
18 You should have received a copy of the GNU Lesser General Public License | |
19 along with the GNU MPFR Library; see the file COPYING.LIB. If not, write to | |
20 the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, | |
21 MA 02110-1301, USA. */ | |
22 | |
23 | |
24 #include "mpfr-impl.h" | |
25 | |
26 /* return non-zero if the first n_bits bits of u, v are equal, | |
27 0 otherwise */ | |
28 int | |
29 mpfr_eq (mpfr_srcptr u, mpfr_srcptr v, unsigned long int n_bits) | |
30 { | |
31 mp_srcptr up, vp; | |
32 mp_size_t usize, vsize, size, i; | |
33 mp_exp_t uexp, vexp; | |
34 int k; | |
35 | |
36 if (MPFR_ARE_SINGULAR(u, v)) | |
37 { | |
38 if (MPFR_IS_NAN(u) || MPFR_IS_NAN(v)) | |
39 return 0; /* non equal */ | |
40 else if (MPFR_IS_INF(u) && MPFR_IS_INF(v)) | |
41 return (MPFR_SIGN(u) == MPFR_SIGN(v)); | |
42 else if (MPFR_IS_ZERO(u) && MPFR_IS_ZERO(v)) | |
43 return 1; | |
44 else | |
45 return 0; | |
46 } | |
47 | |
48 /* 1. Are the signs different? */ | |
49 if (MPFR_SIGN(u) != MPFR_SIGN(v)) | |
50 return 0; | |
51 | |
52 uexp = MPFR_GET_EXP (u); | |
53 vexp = MPFR_GET_EXP (v); | |
54 | |
55 /* 2. Are the exponents different? */ | |
56 if (uexp != vexp) | |
57 return 0; /* no bit agree */ | |
58 | |
59 usize = (MPFR_PREC(u) - 1) / BITS_PER_MP_LIMB + 1; | |
60 vsize = (MPFR_PREC(v) - 1) / BITS_PER_MP_LIMB + 1; | |
61 | |
62 if (vsize > usize) /* exchange u and v */ | |
63 { | |
64 up = MPFR_MANT(v); | |
65 vp = MPFR_MANT(u); | |
66 size = vsize; | |
67 vsize = usize; | |
68 usize = size; | |
69 } | |
70 else | |
71 { | |
72 up = MPFR_MANT(u); | |
73 vp = MPFR_MANT(v); | |
74 } | |
75 | |
76 /* now usize >= vsize */ | |
77 MPFR_ASSERTD(usize >= vsize); | |
78 | |
79 if (usize > vsize) | |
80 { | |
81 if ((unsigned long) vsize * BITS_PER_MP_LIMB < n_bits) | |
82 { | |
83 /* check if low min(PREC(u), n_bits) - (vsize * BITS_PER_MP_LIMB) | |
84 bits from u are non-zero */ | |
85 unsigned long remains = n_bits - (vsize * BITS_PER_MP_LIMB); | |
86 k = usize - vsize - 1; | |
87 while (k >= 0 && remains >= BITS_PER_MP_LIMB && !up[k]) | |
88 { | |
89 k--; | |
90 remains -= BITS_PER_MP_LIMB; | |
91 } | |
92 /* now either k < 0: all low bits from u are zero | |
93 or remains < BITS_PER_MP_LIMB: check high bits from up[k] | |
94 or up[k] <> 0: different */ | |
95 if (k >= 0 && (((remains < BITS_PER_MP_LIMB) && | |
96 (up[k] >> (BITS_PER_MP_LIMB - remains))) || | |
97 (remains >= BITS_PER_MP_LIMB && up[k]))) | |
98 return 0; /* surely too different */ | |
99 } | |
100 size = vsize; | |
101 } | |
102 else | |
103 { | |
104 size = usize; | |
105 } | |
106 | |
107 /* now size = min (usize, vsize) */ | |
108 | |
109 /* If size is too large wrt n_bits, reduce it to look only at the | |
110 high n_bits bits. | |
111 Otherwise, if n_bits > size * BITS_PER_MP_LIMB, reduce n_bits to | |
112 size * BITS_PER_MP_LIMB, since the extra low bits of one of the | |
113 operands have already been check above. */ | |
114 if ((unsigned long) size > 1 + (n_bits - 1) / BITS_PER_MP_LIMB) | |
115 size = 1 + (n_bits - 1) / BITS_PER_MP_LIMB; | |
116 else if (n_bits > (unsigned long) size * BITS_PER_MP_LIMB) | |
117 n_bits = size * BITS_PER_MP_LIMB; | |
118 | |
119 up += usize - size; | |
120 vp += vsize - size; | |
121 | |
122 for (i = size - 1; i > 0 && n_bits >= BITS_PER_MP_LIMB; i--) | |
123 { | |
124 if (up[i] != vp[i]) | |
125 return 0; | |
126 n_bits -= BITS_PER_MP_LIMB; | |
127 } | |
128 | |
129 /* now either i=0 or n_bits<BITS_PER_MP_LIMB */ | |
130 | |
131 /* since n_bits <= size * BITS_PER_MP_LIMB before the above for-loop, | |
132 we have the invariant n_bits <= (i+1) * BITS_PER_MP_LIMB, thus | |
133 we always have n_bits <= BITS_PER_MP_LIMB here */ | |
134 MPFR_ASSERTD(n_bits <= BITS_PER_MP_LIMB); | |
135 | |
136 if (n_bits & (BITS_PER_MP_LIMB - 1)) | |
137 return (up[i] >> (BITS_PER_MP_LIMB - (n_bits & (BITS_PER_MP_LIMB - 1))) == | |
138 vp[i] >> (BITS_PER_MP_LIMB - (n_bits & (BITS_PER_MP_LIMB - 1)))); | |
139 else | |
140 return (up[i] == vp[i]); | |
141 } | |
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