/* 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 #include #include #ifdef HAS_STRING_H #include #else #include #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_raw(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_raw(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); }