1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
|
/* mpfr_random2 -- Generate a positive random mpfr_t of specified size, with
long runs of consecutive ones and zeros in the binary representation.
Copyright 1999, 2001, 2002, 2003, 2004, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Free Software Foundation, Inc.
Contributed by the AriC and Caramel projects, INRIA.
This file is part of the GNU MPFR Library.
The GNU MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.
The GNU MPFR Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
#include "mpfr-test.h"
#define LOGBITS_PER_BLOCK 4
#if GMP_NUMB_BITS < 32
#define BITS_PER_RANDCALL GMP_NUMB_BITS
#else
#define BITS_PER_RANDCALL 32
#endif
void
mpfr_random2 (mpfr_ptr x, mp_size_t size, mpfr_exp_t exp,
gmp_randstate_t rstate)
{
mp_size_t xn, k, ri;
unsigned long sh;
mp_limb_t *xp;
mp_limb_t elimb, ran, acc;
int ran_nbits, bit_pos, nb;
if (MPFR_UNLIKELY(size == 0))
{
MPFR_SET_ZERO (x);
MPFR_SET_POS (x);
return ;
}
else if (size > 0)
{
MPFR_SET_POS (x);
}
else
{
MPFR_SET_NEG (x);
size = -size;
}
xn = MPFR_LIMB_SIZE (x);
xp = MPFR_MANT (x);
if (size > xn)
size = xn;
k = xn - size;
/* Code extracted from GMP, function mpn_random2, to avoid the use
of GMP's internal random state in MPFR */
mpfr_rand_raw (&elimb, rstate, BITS_PER_RANDCALL);
ran = elimb;
/* Start off at a random bit position in the most significant limb. */
bit_pos = GMP_NUMB_BITS - 1;
ran >>= 6; /* Ideally log2(GMP_NUMB_BITS) */
ran_nbits = BITS_PER_RANDCALL - 6; /* Ideally - log2(GMP_NUMB_BITS) */
/* Bit 0 of ran chooses string of ones/string of zeroes.
Make most significant limb be non-zero by setting bit 0 of RAN. */
ran |= 1;
ri = xn - 1;
acc = 0;
while (ri >= k)
{
if (ran_nbits < LOGBITS_PER_BLOCK + 1)
{
mpfr_rand_raw (&elimb, rstate, BITS_PER_RANDCALL);
ran = elimb;
ran_nbits = BITS_PER_RANDCALL;
}
nb = (ran >> 1) % (1 << LOGBITS_PER_BLOCK) + 1;
if ((ran & 1) != 0)
{
/* Generate a string of nb ones. */
if (nb > bit_pos)
{
xp[ri--] = acc | (((mp_limb_t) 2 << bit_pos) - 1);
bit_pos += GMP_NUMB_BITS;
bit_pos -= nb;
acc = ((~(mp_limb_t) 1) << bit_pos) & GMP_NUMB_MASK;
}
else
{
bit_pos -= nb;
acc |= (((mp_limb_t) 2 << nb) - 2) << bit_pos;
}
}
else
{
/* Generate a string of nb zeroes. */
if (nb > bit_pos)
{
xp[ri--] = acc;
acc = 0;
bit_pos += GMP_NUMB_BITS;
}
bit_pos -= nb;
}
ran_nbits -= LOGBITS_PER_BLOCK + 1;
ran >>= LOGBITS_PER_BLOCK + 1;
}
/* Set mandatory most significant bit. */
/* xp[xn - 1] |= MPFR_LIMB_HIGHBIT; */
if (k != 0)
{
/* Clear last limbs */
MPN_ZERO (xp, k);
}
else
{
/* Mask off non significant bits in the low limb. */
MPFR_UNSIGNED_MINUS_MODULO (sh, MPFR_PREC (x));
xp[0] &= ~MPFR_LIMB_MASK (sh);
}
/* Generate random exponent. */
mpfr_rand_raw (&elimb, RANDS, GMP_NUMB_BITS);
exp = ABS (exp);
MPFR_SET_EXP (x, elimb % (2 * exp + 1) - exp);
return ;
}
|
