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Diffstat (limited to 'stdlib/gmp-impl.h')
| -rw-r--r-- | stdlib/gmp-impl.h | 283 |
1 files changed, 283 insertions, 0 deletions
diff --git a/stdlib/gmp-impl.h b/stdlib/gmp-impl.h new file mode 100644 index 0000000..ccffe7b --- /dev/null +++ b/stdlib/gmp-impl.h @@ -0,0 +1,283 @@ +/* Include file for internal GNU MP types and definitions. + +Copyright (C) 1991, 1993, 1994 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP 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 GNU MP 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 GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. */ + +#if ! defined (alloca) +#if defined (__GNUC__) || defined (__sparc__) || defined (sparc) +#define alloca __builtin_alloca +#endif +#endif + +#ifndef NULL +#define NULL 0L +#endif + +#if ! defined (__GNUC__) +#define inline /* Empty */ +void *alloca(); +#endif + +#define ABS(x) (x >= 0 ? x : -x) +#define MIN(l,o) ((l) < (o) ? (l) : (o)) +#define MAX(h,i) ((h) > (i) ? (h) : (i)) + +#include "gmp-mparam.h" +/* #include "longlong.h" */ + +#ifdef __STDC__ +void *malloc (size_t); +void *realloc (void *, size_t); +void free (void *); + +extern void * (*_mp_allocate_func) (size_t); +extern void * (*_mp_reallocate_func) (void *, size_t, size_t); +extern void (*_mp_free_func) (void *, size_t); + +void *_mp_default_allocate (size_t); +void *_mp_default_reallocate (void *, size_t, size_t); +void _mp_default_free (void *, size_t); + +#else + +#define const /* Empty */ +#define signed /* Empty */ + +void *malloc (); +void *realloc (); +void free (); + +extern void * (*_mp_allocate_func) (); +extern void * (*_mp_reallocate_func) (); +extern void (*_mp_free_func) (); + +void *_mp_default_allocate (); +void *_mp_default_reallocate (); +void _mp_default_free (); +#endif + +/* Copy NLIMBS *limbs* from SRC to DST. */ +#define MPN_COPY_INCR(DST, SRC, NLIMBS) \ + do { \ + mp_size_t __i; \ + for (__i = 0; __i < (NLIMBS); __i++) \ + (DST)[__i] = (SRC)[__i]; \ + } while (0) +#define MPN_COPY_DECR(DST, SRC, NLIMBS) \ + do { \ + mp_size_t __i; \ + for (__i = (NLIMBS) - 1; __i >= 0; __i--) \ + (DST)[__i] = (SRC)[__i]; \ + } while (0) +#define MPN_COPY MPN_COPY_INCR + +/* Zero NLIMBS *limbs* AT DST. */ +#define MPN_ZERO(DST, NLIMBS) \ + do { \ + mp_size_t __i; \ + for (__i = 0; __i < (NLIMBS); __i++) \ + (DST)[__i] = 0; \ + } while (0) + +#define MPN_NORMALIZE(DST, NLIMBS) \ + do { \ + while (NLIMBS > 0) \ + { \ + if ((DST)[(NLIMBS) - 1] != 0) \ + break; \ + NLIMBS--; \ + } \ + } while (0) +#define MPN_NORMALIZE_NOT_ZERO(DST, NLIMBS) \ + do { \ + while (1) \ + { \ + if ((DST)[(NLIMBS) - 1] != 0) \ + break; \ + NLIMBS--; \ + } \ + } while (0) + +/* Swap (mp_ptr, mp_size_t) (U, UL) with (V, VL) */ +#define MPN_SWAP(u, l, v, m) \ + do { \ + { mp_ptr _; _ = (u), (u) = (v), (v) = _;} \ + { mp_size_t _; _ = (l), (l) = (m), (m) = _;} \ + } while (0) + +/* Return true iff the limb X has less bits than the limb Y. */ +#define MPN_LESS_BITS_LIMB(x,y) ((x) < (y) && (x) < ((x) ^ (y))) + +/* Return true iff (mp_ptr, mp_size_t) (U, UL) has less bits than (V, VL). */ +#define MPN_LESS_BITS(u, l, v, m) \ + ((l) < (m) \ + || ((l) == (m) && (l) != 0 && MPN_LESS_BITS_LIMB ((u)[(l - 1)], (v)[(l) - 1]))) + +/* Return true iff (mp_ptr, mp_size_t) (U, UL) has more bits than (V, VL). */ +#define MPN_MORE_BITS(u, l, v, m) MPN_LESS_BITS (v, m, u, l) + +/* Perform twos complement on (mp_ptr, mp_size_t) (U, UL), + putting result at (v, VL). Precondition: U[0] != 0. */ +#define MPN_COMPL_INCR(u, v, l) \ + do { \ + mp_size_t _ = 0; \ + (u)[0] = -(v)[_]; \ + while (_++ < (l)) \ + (u)[_] = ~(v)[_]; \ + } while (0) +#define MPN_COMPL MPN_COMPL_INCR + +/* Initialize the MP_INT X with space for NLIMBS limbs. + X should be a temporary variable, and it will be automatically + cleared out when the running function returns. + We use __x here to make it possible to accept both mpz_ptr and mpz_t + arguments. */ +#define MPZ_TMP_INIT(X, NLIMBS) \ + do { \ + mpz_ptr __x = (X); \ + __x->alloc = (NLIMBS); \ + __x->d = (mp_ptr) alloca ((NLIMBS) * BYTES_PER_MP_LIMB); \ + } while (0) + +#define MPN_MUL_N_RECURSE(prodp, up, vp, size, tspace) \ + do { \ + if ((size) < KARATSUBA_THRESHOLD) \ + ____mpn_mul_n_basecase (prodp, up, vp, size); \ + else \ + ____mpn_mul_n (prodp, up, vp, size, tspace); \ + } while (0); +#define MPN_SQR_N_RECURSE(prodp, up, size, tspace) \ + do { \ + if ((size) < KARATSUBA_THRESHOLD) \ + ____mpn_sqr_n_basecase (prodp, up, size); \ + else \ + ____mpn_sqr_n (prodp, up, size, tspace); \ + } while (0); + +/* Structure for conversion between internal binary format and + strings in base 2..36. */ +struct bases +{ + /* Number of digits in the conversion base that always fits in + an mp_limb. For example, for base 10 this is 10, since + 2**32 = 4294967296 has ten digits. */ + int chars_per_limb; + + /* log(2)/log(conversion_base) */ + float chars_per_bit_exactly; + + /* big_base is conversion_base**chars_per_limb, i.e. the biggest + number that fits a word, built by factors of conversion_base. + Exception: For 2, 4, 8, etc, big_base is log2(base), i.e. the + number of bits used to represent each digit in the base. */ + mp_limb big_base; + + /* big_base_inverted is a BITS_PER_MP_LIMB bit approximation to + 1/big_base, represented as a fixed-point number. Instead of + dividing by big_base an application can choose to multiply + by big_base_inverted. */ + mp_limb big_base_inverted; +}; + +extern const struct bases __mp_bases[]; +extern mp_size_t __gmp_default_fp_limb_precision; + +/* Divide the two-limb number in (NH,,NL) by D, with DI being a 32 bit + approximation to (2**(2*BITS_PER_MP_LIMB))/D - (2**BITS_PER_MP_LIMB). + Put the quotient in Q and the remainder in R. */ +#define udiv_qrnnd_preinv(q, r, nh, nl, d, di) \ + do { \ + mp_limb _q, _ql, _r; \ + mp_limb _xh, _xl; \ + umul_ppmm (_q, _ql, (nh), (di)); \ + _q += (nh); /* DI is 2**BITS_PER_MP_LIMB too small */\ + umul_ppmm (_xh, _xl, _q, (d)); \ + sub_ddmmss (_xh, _r, (nh), (nl), _xh, _xl); \ + if (_xh != 0) \ + { \ + sub_ddmmss (_xh, _r, _xh, _r, 0, (d)); \ + _q += 1; \ + if (_xh != 0) \ + { \ + sub_ddmmss (_xh, _r, _xh, _r, 0, (d)); \ + _q += 1; \ + } \ + } \ + if (_r >= (d)) \ + { \ + _r -= (d); \ + _q += 1; \ + } \ + (r) = _r; \ + (q) = _q; \ + } while (0) +#define udiv_qrnnd_preinv2gen(q, r, nh, nl, d, di, dnorm, lgup) \ + do { \ + mp_limb n2, n10, n1, nadj, q1; \ + mp_limb _xh, _xl; \ + n2 = ((nh) << (BITS_PER_MP_LIMB - (lgup))) + ((nl) >> 1 >> (l - 1));\ + n10 = (nl) << (BITS_PER_MP_LIMB - (lgup)); \ + n1 = ((mp_limb_signed) n10 >> (BITS_PER_MP_LIMB - 1)); \ + nadj = n10 + (n1 & (dnorm)); \ + umul_ppmm (_xh, _xl, di, n2 - n1); \ + add_ssaaaa (_xh, _xl, _xh, _xl, 0, nadj); \ + q1 = ~(n2 + _xh); \ + umul_ppmm (_xh, _xl, q1, d); \ + add_ssaaaa (_xh, _xl, _xh, _xl, nh, nl); \ + _xh -= (d); \ + (r) = _xl + ((d) & _xh); \ + (q) = _xh - q1; \ + } while (0) +#define udiv_qrnnd_preinv2norm(q, r, nh, nl, d, di) \ + do { \ + mp_limb n2, n10, n1, nadj, q1; \ + mp_limb _xh, _xl; \ + n2 = (nh); \ + n10 = (nl); \ + n1 = ((mp_limb_signed) n10 >> (BITS_PER_MP_LIMB - 1)); \ + nadj = n10 + (n1 & (d)); \ + umul_ppmm (_xh, _xl, di, n2 - n1); \ + add_ssaaaa (_xh, _xl, _xh, _xl, 0, nadj); \ + q1 = ~(n2 + _xh); \ + umul_ppmm (_xh, _xl, q1, d); \ + add_ssaaaa (_xh, _xl, _xh, _xl, nh, nl); \ + _xh -= (d); \ + (r) = _xl + ((d) & _xh); \ + (q) = _xh - q1; \ + } while (0) + +#if defined (__GNUC__) +/* Define stuff for longlong.h asm macros. */ +#if __GNUC_NEW_ATTR_MODE_SYNTAX +typedef unsigned int UQItype __attribute__ ((mode ("QI"))); +typedef int SItype __attribute__ ((mode ("SI"))); +typedef unsigned int USItype __attribute__ ((mode ("SI"))); +typedef int DItype __attribute__ ((mode ("DI"))); +typedef unsigned int UDItype __attribute__ ((mode ("DI"))); +#else +typedef unsigned int UQItype __attribute__ ((mode (QI))); +typedef int SItype __attribute__ ((mode (SI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef int DItype __attribute__ ((mode (DI))); +typedef unsigned int UDItype __attribute__ ((mode (DI))); +#endif +#endif + +typedef mp_limb UWtype; +typedef unsigned int UHWtype; +#define W_TYPE_SIZE BITS_PER_MP_LIMB |