summaryrefslogtreecommitdiff
path: root/set_uj.c
blob: 5b1eeb96226e6e4616c87a93a67ac65224cafeed (plain)
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
/* mpfr_set_uj -- set a MPFR number from a huge machine unsigned integer

Copyright 2004, 2005, 2006, 2007 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao projects, INRIA.

This file is part of the MPFR Library.

The 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 2.1 of the License, or (at your
option) any later version.

The 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 MPFR Library; see the file COPYING.LIB.  If not, write to
the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
MA 02110-1301, USA. */

#if HAVE_CONFIG_H
# include "config.h"       /* for a build within gmp */
#endif

/* The ISO C99 standard specifies that in C++ implementations the
   INTMAX_MAX, ... macros should only be defined if explicitly requested.  */
#if defined(__cplusplus)
# define __STDC_LIMIT_MACROS
# define __STDC_CONSTANT_MACROS
#endif

#ifdef HAVE_STDINT_H
# include <stdint.h>
#endif
#ifdef HAVE_INTTYPES_H
# include <inttypes.h>
#endif
#include <limits.h> /* For CHAR_BIT */

#define MPFR_NEED_LONGLONG_H
#include "mpfr-impl.h"

#ifdef _MPFR_H_HAVE_INTMAX_T

int
mpfr_set_uj (mpfr_t x, uintmax_t j, mp_rnd_t rnd)
{
  return mpfr_set_uj_2exp (x, j, 0, rnd);
}

int
mpfr_set_uj_2exp (mpfr_t x, uintmax_t j, intmax_t e, mp_rnd_t rnd)
{
  unsigned int cnt, i;
  mp_size_t k, len;
  mp_limb_t limb;
  mp_limb_t yp[sizeof(uintmax_t) / sizeof(mp_limb_t)];
  mpfr_t y;
  unsigned long uintmax_bit_size = sizeof(uintmax_t) * CHAR_BIT;
  unsigned long bpml = BITS_PER_MP_LIMB % uintmax_bit_size;

  /* Special case */
  if (j == 0)
    {
      MPFR_SET_POS(x);
      MPFR_SET_ZERO(x);
      MPFR_RET(0);
    }

  MPFR_ASSERTN (sizeof(uintmax_t) % sizeof(mp_limb_t) == 0);

  /* Create an auxillary var */
  MPFR_TMP_INIT1 (yp, y, uintmax_bit_size);
  k = numberof (yp);
  if (k == 1)
    limb = yp[0] = j;
  else
    {
      /* Note: either BITS_PER_MP_LIMB = uintmax_bit_size, then k = 1 the
         shift j >>= bpml is never done, or BITS_PER_MP_LIMB < uintmax_bit_size
         and bpml = BITS_PER_MP_LIMB. */
      for (i = 0; i < k; i++, j >>= bpml)
        yp[i] = j; /* Only the low bits are copied */

      /* Find the first limb not equal to zero. */
      do
        {
          MPFR_ASSERTD (k > 0);
          limb = yp[--k];
        }
      while (limb == 0);
      k++;
    }
  count_leading_zeros(cnt, limb);
  len = numberof (yp) - k;

  /* Normalize it: len = number of last 0 limb, k number of non-zero limbs */
  if (MPFR_LIKELY(cnt))
    mpn_lshift (yp+len, yp, k, cnt);  /* Normalize the High Limb*/
  else if (len != 0)
    MPN_COPY_DECR (yp+len, yp, k);    /* Must use DECR */
  MPN_ZERO (yp, len);                 /* Zeroing the last limbs */
  e += k * BITS_PER_MP_LIMB - cnt;    /* Update Expo */
  MPFR_ASSERTD (MPFR_LIMB_MSB(yp[numberof (yp) - 1]) != 0);

  /* Check expo underflow / overflow (can't use mpfr_check_range) */
  if (MPFR_UNLIKELY(e < __gmpfr_emin))
    {
      /* The following test is necessary because in the rounding to the
       * nearest mode, mpfr_underflow always rounds away from 0. In
       * this rounding mode, we need to round to 0 if:
       *   _ |x| < 2^(emin-2), or
       *   _ |x| = 2^(emin-2) and the absolute value of the exact
       *     result is <= 2^(emin-2). */
      if (rnd == GMP_RNDN && (e+1 < __gmpfr_emin || mpfr_powerof2_raw(y)))
        rnd = GMP_RNDZ;
      return mpfr_underflow (x, rnd, MPFR_SIGN_POS);
    }
  if (MPFR_UNLIKELY(e > __gmpfr_emax))
    return mpfr_overflow (x, rnd, MPFR_SIGN_POS);
  MPFR_SET_EXP (y, e);

  /* Final: set x to y (rounding if necessary) */
  return mpfr_set (x, y, rnd);
}

#endif