/* Utilities for MPFR developers, not exported. Copyright 1999, 2000, 2001, 2002 Free Software Foundation, Inc. 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., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ /* Test if X (positive) is a power of 2 */ #define IS_POW2(X) (((X) & ((X) - 1)) == 0) #define NOT_POW2(X) (((X) & ((X) - 1)) != 0) /* This unsigned type must correspond to the signed one defined in gmp.h */ #if defined (_CRAY) && ! defined (_CRAYMPP) typedef unsigned int mp_exp_unsigned_t; typedef unsigned int mp_size_unsigned_t; #else typedef unsigned long int mp_exp_unsigned_t; typedef unsigned long int mp_size_unsigned_t; #endif #define MP_EXP_T_MAX ((mp_exp_t) ((~ (mp_exp_unsigned_t) 0) >> 1)) #define MP_EXP_T_MIN (-MP_EXP_T_MAX-1) #define MP_LIMB_T_ONE ((mp_limb_t) 1) #if (BITS_PER_MP_LIMB & (BITS_PER_MP_LIMB - 1)) #error "BITS_PER_MP_LIMB must be a power of 2" #endif #define MPFR_INTPREC_MAX (ULONG_MAX & ~(unsigned long) (BITS_PER_MP_LIMB - 1)) /* Assertions */ /* Compile with -DWANT_ASSERT to check all assert statements */ /* MPFR_ASSERTN(expr): assertions that should always be checked */ /* #define MPFR_ASSERTN(expr) ASSERT_ALWAYS(expr) */ #define MPFR_ASSERTN(expr) ((expr) ? (void) 0 : (void) ASSERT_FAIL (expr)) /* MPFR_ASSERTD(expr): assertions that should be checked when testing */ /* #define MPFR_ASSERTD(expr) ASSERT(expr) */ #if WANT_ASSERT #define MPFR_ASSERTD(expr) ASSERT_ALWAYS (expr) #else #define MPFR_ASSERTD(expr) ((void) 0) #endif /* Definition of constants */ #define LOG2 0.69314718055994528622 /* log(2) rounded to zero on 53 bits */ #define ALPHA 4.3191365662914471407 /* a+2 = a*log(a), rounded to +infinity */ /* Safe absolute value (to avoid possible integer overflow) */ #define SAFE_ABS(type,x) ((x) >= 0 ? (unsigned type)(x) : -(unsigned type)(x)) /* macros for doubles, based on gmp union ieee_double_extract */ typedef union ieee_double_extract Ieee_double_extract; #define DOUBLE_ISNANorINF(x) (((Ieee_double_extract *)&(x))->s.exp == 0x7ff) #define DOUBLE_ISINF(x) (DOUBLE_ISNANorINF(x) && \ (((Ieee_double_extract *)&(x))->s.manl == 0) && \ (((Ieee_double_extract *)&(x))->s.manh == 0)) #define DOUBLE_ISNAN(x) (DOUBLE_ISNANorINF(x) && \ ((((Ieee_double_extract *)&(x))->s.manl != 0) || \ (((Ieee_double_extract *)&(x))->s.manh != 0))) #define DBL_POS_INF (1.0/0.0) #define DBL_NEG_INF (-1.0/0.0) #define DBL_NAN (0.0/0.0) /* bit 31 of _mpfr_size is used for sign, bit 30 of _mpfr_size is used for Nan flag, bit 29 of _mpfr_size is used for Inf flag, remaining bits are used to store the number of allocated limbs */ #define MPFR_CLEAR_FLAGS(x) \ (((x) -> _mpfr_size &= ~((mp_size_unsigned_t) 3 << 29))) #define MPFR_IS_NAN(x) (((x)->_mpfr_size >> 30) & 1) #define MPFR_SET_NAN(x) ((x)->_mpfr_size |= ((mp_size_unsigned_t) 1 << 30)) #define MPFR_CLEAR_NAN(x) \ (((x) -> _mpfr_size &= ~((mp_size_unsigned_t) 1 << 30))) #define MPFR_IS_INF(x) (((x)->_mpfr_size >> 29) & 1) #define MPFR_SET_INF(x) ((x)->_mpfr_size |= ((mp_size_unsigned_t) 1 << 29)) #define MPFR_CLEAR_INF(x) ((x)->_mpfr_size &= ~((mp_size_unsigned_t) 1 << 29)) #define MPFR_IS_FP(x) ((((x) -> _mpfr_size >> 29) & 3) == 0) #define MPFR_ABSSIZE(x) \ ((x)->_mpfr_size & (((mp_size_unsigned_t) 1 << 29) - 1)) #define MPFR_SET_ABSSIZE(x, n) \ ((x)->_mpfr_size = ((x)->_mpfr_size & ((mp_size_unsigned_t) 7 << 29)) \ | (mp_size_unsigned_t) (n)) #define MPFR_SIZE(x) ((x)->_mpfr_size) #define MPFR_EXP(x) ((x)->_mpfr_exp) #define MPFR_MANT(x) ((x)->_mpfr_d) #define MPFR_ISNONNEG(x) (MPFR_NOTZERO((x)) && MPFR_SIGN(x) >= 0) #define MPFR_ISNEG(x) (MPFR_NOTZERO((x)) && MPFR_SIGN(x) == -1) #define MPFR_SET_POS(x) (MPFR_SIZE(x) &= ~(((mp_size_unsigned_t) 1) << 31)) #define MPFR_SET_NEG(x) (MPFR_SIZE(x) |= (((mp_size_unsigned_t) 1) << 31)) #define MPFR_CHANGE_SIGN(x) (MPFR_SIZE(x) ^= (((mp_size_unsigned_t) 1) << 31)) #define MPFR_SET_SAME_SIGN(x, y) \ (MPFR_SIGN((x)) != MPFR_SIGN((y)) && (MPFR_CHANGE_SIGN((x)), 0)) #define MPFR_PREC(x) ((x)->_mpfr_prec) #define MPFR_NOTZERO(x) \ (MPFR_MANT(x)[(MPFR_PREC(x)-1)/BITS_PER_MP_LIMB] != (mp_limb_t) 0) #define MPFR_IS_ZERO(x) \ (MPFR_MANT(x)[(MPFR_PREC(x)-1)/BITS_PER_MP_LIMB] == (mp_limb_t) 0) #define MPFR_SET_ZERO(x) \ (MPFR_MANT(x)[(MPFR_PREC(x)-1)/BITS_PER_MP_LIMB] = (mp_limb_t) 0) #define MPFR_ESIZE(x) \ ((MPFR_PREC((x)) - 1) / BITS_PER_MP_LIMB + 1); #define MPFR_EVEN_INEX 2 /* When returning the ternary inexact value, ALWAYS use one of the following two macros, unless the flag comes from another function returning the ternary inexact value */ #define MPFR_RET(I) return \ (I) ? ((__mpfr_flags |= MPFR_FLAGS_INEXACT), (I)) : 0 #define MPFR_RET_NAN return (__mpfr_flags |= MPFR_FLAGS_NAN), 0 /* The following macro restores the exponent range and the flags, checks that the result is in the exponent range and returns the ternary inexact value. */ #define MPFR_RESTORE_RET(inex, x, rnd_mode) \ do \ { \ int inex_cr; \ mpfr_restore_emin_emax(); \ inex_cr = mpfr_check_range(x, rnd_mode); \ if (inex_cr) \ return inex_cr; /* underflow or overflow */ \ MPFR_RET(inex); \ } \ while(0) /* Memory gestion */ /* temporary allocate s limbs at xp, and initialize mpfr variable x */ #define MPFR_INIT(xp, x, p, s) \ (xp = (mp_ptr) TMP_ALLOC((size_t) (s) * BYTES_PER_MP_LIMB), \ MPFR_PREC(x) = (p), \ MPFR_MANT(x) = (xp), \ MPFR_SIZE(x) = (s), \ MPFR_EXP(x) = 0) /* same when xp is already allocated */ #define MPFR_INIT1(xp, x, p, s) \ (MPFR_PREC(x) = (p), MPFR_MANT(x) = (xp), MPFR_SIZE(x) = (s)) #ifndef _PROTO #if defined (__STDC__) || defined (__cplusplus) #define _PROTO(x) x #else #define _PROTO(x) () #endif #endif #if defined (__cplusplus) extern "C" { #endif extern mp_prec_t __mpfr_const_log2_prec; int mpfr_set_underflow _PROTO ((mpfr_ptr, mp_rnd_t, int)); int mpfr_set_overflow _PROTO ((mpfr_ptr, mp_rnd_t, int)); void mpfr_save_emin_emax _PROTO ((void)); void mpfr_restore_emin_emax _PROTO ((void)); int mpfr_add1 _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mp_rnd_t, mp_exp_unsigned_t)); int mpfr_sub1 _PROTO ((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, mp_rnd_t, int)); int mpfr_round_raw_generic _PROTO ((mp_limb_t *, mp_limb_t *, mp_prec_t, int, mp_prec_t, mp_rnd_t, int *, int)); int mpfr_can_round_raw _PROTO ((mp_limb_t *, mp_size_t, int, mp_exp_t, mp_rnd_t, mp_rnd_t, mp_prec_t)); double mpfr_get_d3 _PROTO ((mpfr_srcptr, mp_exp_t, mp_rnd_t)); int mpfr_cmp_abs _PROTO ((mpfr_srcptr, mpfr_srcptr)); int mpfr_cmp2 _PROTO ((mpfr_srcptr, mpfr_srcptr, mp_prec_t *)); long _mpfr_ceil_log2 _PROTO ((double)); long _mpfr_floor_log2 _PROTO ((double)); double _mpfr_ceil_exp2 _PROTO ((double)); unsigned long _mpfr_isqrt _PROTO ((unsigned long)); unsigned long _mpfr_cuberoot _PROTO ((unsigned long)); int mpfr_exp_2 _PROTO ((mpfr_ptr, mpfr_srcptr, mp_rnd_t)); int mpfr_exp3 _PROTO ((mpfr_ptr, mpfr_srcptr, mp_rnd_t)); #define mpfr_round_raw(yp, xp, xprec, neg, yprec, r, inexp) \ mpfr_round_raw_generic((yp), (xp), (xprec), (neg), (yprec), (r), (inexp), 0) #define mpfr_round_raw2(xp, xn, neg, r, prec) \ mpfr_round_raw_generic(0, (xp), (xn) * BITS_PER_MP_LIMB, (neg), \ (prec), (r), 0, 1); #if defined (__cplusplus) } #endif