summaryrefslogtreecommitdiff
path: root/set_str.c
blob: 5ddd07a0dcf412dd8c3106317c3b2420577c3d4a (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
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
/* mpfr_set_str -- set a floating-point number from a string

Copyright (C) 2000 PolKA project, Inria Lorraine and Loria

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 Library General Public License as published by
the Free Software Foundation; either version 2 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 Library General Public
License for more details.

You should have received a copy of the GNU Library General Public License
along with the MPFR Library; see the file COPYING.LIB.  If not, write to
the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, USA. */

#include <ctype.h>
#include <stdio.h>
#include <stdlib.h>
#ifdef HAS_STRING_H
#include <string.h>
#else
#include <strings.h>
#endif
#include "gmp.h"
#include "gmp-impl.h"
#include "longlong.h"
#include "mpfr.h"

int
#if __STDC__
mpfr_set_str(mpfr_ptr x, char *str, int base, mp_rnd_t rnd_mode)
#else
mpfr_set_str(x, str, base, rnd_mode)
     mpfr_ptr x;
     char *str;
     int base;
     mp_rnd_t rnd_mode;
#endif
{
  char negative = 0, *endptr;
  unsigned long k = 0, l, q;
  long expn = 0, e;
  mpz_t mantissa;
  mpfr_t y, z;

  mpz_init(mantissa); mpz_set_ui(mantissa, 0);
  l = strlen(str);
  if (*str == '-') { negative = 1; str++; l--; }
  else if (*str == '+') { str++; l--; }

  while (*str == '0') { str++; l--; } /* skip initial zeros */

  /* allowed characters are '0' to '0'+base-1 if base <= 10,
     and '0' to '9' plus 'a' to 'a'+base-11 if 10 < base <= 36 */
  while ((isdigit(*str) && *str < '0'+base)
	 || (islower(*str) && *str < 'a'+base-10))
    { 
      mpz_mul_ui(mantissa, mantissa, base);
      mpz_add_ui(mantissa, mantissa, (isdigit(*str)) ? (*str)-'0'
		 : (*str)-'a'+10);
      str++; l--;
    }

  /* k is the number of non-zero digits before the decimal point */

  if (*str == '.') 
    {
      str++; l--;
      while ((isdigit(*str) && *str < '0'+base)
	     || (islower(*str) && *str < 'a'+base-10))
	{ 
	  mpz_mul_ui(mantissa, mantissa, base);
	  mpz_add_ui(mantissa, mantissa, (isdigit(*str)) ? (*str)-'0'
		     : (*str)-'a'+10);
	  str++; l--;
	  k++;
	}
    }
    
  if ((base <= 10 && (*str == 'e' || *str == 'E')) || *str == '@')
    {
      str++; l--;
      e = strtol(str, &endptr, 10); /* signed exponent after 'e', 'E' or '@' */
      expn = e - k; 
      if (expn > e)
	  fprintf(stderr, "Warning: exponent underflow in mpfr_set_str\n"); 
    }
  else if (l) {
    fprintf(stderr, "Unexpected end of string in mpfr_set_str: %s\n", str);
    return -1;
  }
  else {
    expn = -k;
    endptr = str;
  }

  /* the number is mantissa*base^expn */

  q = (PREC(x)/BITS_PER_MP_LIMB)*BITS_PER_MP_LIMB;
  mpfr_init(y);
  mpfr_init(z);

  do {
    q += BITS_PER_MP_LIMB;
    mpfr_set_prec(y, q);
    mpfr_set_z(y, mantissa, GMP_RNDN); /* error <= 1/2*ulp(y) */

    mpfr_set_prec(z, q);
    if (expn>0) {
      e = mpfr_ui_pow_ui(z, base, expn, GMP_RNDN);
      mpfr_mul(y, y, z, GMP_RNDN);
    }
    else if (expn<0) {
      e = mpfr_ui_pow_ui(z, base, -expn, GMP_RNDN);
      mpfr_div(y, y, z, GMP_RNDN);
    }
    else e=1;
    if (negative) mpfr_neg(y, y, GMP_RNDN);

    /* now y is an approximation of mantissa*base^expn with error at most
       2^e*ulp(y) */

  } while (mpfr_can_round(y, q-e, GMP_RNDN, rnd_mode, PREC(x))==0
	   && q<=2*PREC(x));

  mpfr_set(x, y, rnd_mode);

  mpz_clear(mantissa);
  mpfr_clear(y);
  mpfr_clear(z);
  return ((*endptr=='\0') ? 0 : -1);
}

int
#if __STDC__
mpfr_init_set_str(mpfr_ptr x, char *str, int base, mp_rnd_t rnd_mode)
#else
mpfr_init_set_str(x, str, base, rnd_mode)
     mpfr_ptr x;
     char *str;
     int base;
     mp_rnd_t rnd_mode;
#endif
{ 
  mpfr_init(x); 
  return mpfr_set_str(x, str, base, rnd_mode);
}