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322 lines
10 KiB
C
322 lines
10 KiB
C
/* Include file for internal GNU MP types and definitions.
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Copyright (C) 1991-2024 Free Software Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 2.1 of the License, or (at your
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option) any later version.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MP Library; see the file COPYING.LIB. If not, see
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<https://www.gnu.org/licenses/>. */
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/* When using gcc, make sure to use its builtin alloca. */
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#if ! defined (alloca) && defined (__GNUC__)
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#define alloca __builtin_alloca
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#define HAVE_ALLOCA
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#endif
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/* When using cc, do whatever necessary to allow use of alloca. For many
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machines, this means including alloca.h. IBM's compilers need a #pragma
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in "each module that needs to use alloca". */
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#if ! defined (alloca)
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/* We need lots of variants for MIPS, to cover all versions and perversions
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of OSes for MIPS. */
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#if defined (__mips) || defined (MIPSEL) || defined (MIPSEB) \
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|| defined (_MIPSEL) || defined (_MIPSEB) || defined (__sgi) \
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|| defined (__alpha) || defined (__sparc) || defined (sparc) \
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|| defined (__ksr__)
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#include <alloca.h>
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#define HAVE_ALLOCA
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#endif
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#if defined (_IBMR2)
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#pragma alloca
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#define HAVE_ALLOCA
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#endif
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#if defined (__DECC)
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#define alloca(x) __ALLOCA(x)
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#define HAVE_ALLOCA
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#endif
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#endif
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#if (! defined (alloca) && ! defined (HAVE_ALLOCA)) \
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|| defined (USE_STACK_ALLOC)
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#include "stack-alloc.h"
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#else
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#define TMP_DECL(m)
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#define TMP_ALLOC(x) alloca(x)
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#define TMP_MARK(m)
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#define TMP_FREE(m)
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#endif
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#ifndef NULL
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#define NULL ((void *) 0)
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#endif
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#if ! defined (__GNUC__)
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#define inline /* Empty */
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#endif
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/* Get MAX/MIN macros. */
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#include <sys/param.h>
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/* Field access macros. */
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#define SIZ(x) ((x)->_mp_size)
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#define PTR(x) ((x)->_mp_d)
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#define EXP(x) ((x)->_mp_exp)
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#define PREC(x) ((x)->_mp_prec)
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#define ALLOC(x) ((x)->_mp_alloc)
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#include "gmp-mparam.h"
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/* #include "longlong.h" */
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#if defined (__STDC__) || defined (__cplusplus)
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void *malloc (size_t);
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void *realloc (void *, size_t);
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void free (void *);
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extern void * (*_mp_allocate_func) (size_t);
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extern void * (*_mp_reallocate_func) (void *, size_t, size_t);
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extern void (*_mp_free_func) (void *, size_t);
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void *_mp_default_allocate (size_t);
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void *_mp_default_reallocate (void *, size_t, size_t);
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void _mp_default_free (void *, size_t);
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#else
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#define const /* Empty */
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#define signed /* Empty */
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void *malloc ();
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void *realloc ();
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void free ();
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extern void * (*_mp_allocate_func) ();
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extern void * (*_mp_reallocate_func) ();
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extern void (*_mp_free_func) ();
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void *_mp_default_allocate ();
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void *_mp_default_reallocate ();
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void _mp_default_free ();
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#endif
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/* Copy NLIMBS *limbs* from SRC to DST. */
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#define MPN_COPY_INCR(DST, SRC, NLIMBS) \
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do { \
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mp_size_t __i; \
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for (__i = 0; __i < (NLIMBS); __i++) \
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(DST)[__i] = (SRC)[__i]; \
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} while (0)
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#define MPN_COPY_DECR(DST, SRC, NLIMBS) \
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do { \
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mp_size_t __i; \
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for (__i = (NLIMBS) - 1; __i >= 0; __i--) \
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(DST)[__i] = (SRC)[__i]; \
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} while (0)
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#define MPN_COPY MPN_COPY_INCR
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/* Zero NLIMBS *limbs* AT DST. */
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#define MPN_ZERO(DST, NLIMBS) \
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do { \
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mp_size_t __i; \
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for (__i = 0; __i < (NLIMBS); __i++) \
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(DST)[__i] = 0; \
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} while (0)
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#define MPN_NORMALIZE(DST, NLIMBS) \
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do { \
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while (NLIMBS > 0) \
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{ \
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if ((DST)[(NLIMBS) - 1] != 0) \
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break; \
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NLIMBS--; \
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} \
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} while (0)
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#define MPN_NORMALIZE_NOT_ZERO(DST, NLIMBS) \
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do { \
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while (1) \
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{ \
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if ((DST)[(NLIMBS) - 1] != 0) \
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break; \
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NLIMBS--; \
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} \
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} while (0)
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/* Initialize the MP_INT X with space for NLIMBS limbs.
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X should be a temporary variable, and it will be automatically
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cleared out when the running function returns.
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We use __x here to make it possible to accept both mpz_ptr and mpz_t
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arguments. */
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#define MPZ_TMP_INIT(X, NLIMBS) \
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do { \
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mpz_ptr __x = (X); \
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__x->_mp_alloc = (NLIMBS); \
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__x->_mp_d = (mp_ptr) TMP_ALLOC ((NLIMBS) * BYTES_PER_MP_LIMB); \
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} while (0)
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#define MPN_MUL_N_RECURSE(prodp, up, vp, size, tspace) \
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do { \
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if ((size) < KARATSUBA_THRESHOLD) \
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impn_mul_n_basecase (prodp, up, vp, size); \
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else \
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impn_mul_n (prodp, up, vp, size, tspace); \
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} while (0);
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#define MPN_SQR_N_RECURSE(prodp, up, size, tspace) \
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do { \
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if ((size) < KARATSUBA_THRESHOLD) \
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impn_sqr_n_basecase (prodp, up, size); \
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else \
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impn_sqr_n (prodp, up, size, tspace); \
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} while (0);
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/* Structure for conversion between internal binary format and
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strings in base 2..36. */
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struct bases
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{
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/* Number of digits in the conversion base that always fits in an mp_limb_t.
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For example, for base 10 on a machine where a mp_limb_t has 32 bits this
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is 9, since 10**9 is the largest number that fits into a mp_limb_t. */
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int chars_per_limb;
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/* log(2)/log(conversion_base) */
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float chars_per_bit_exactly;
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/* base**chars_per_limb, i.e. the biggest number that fits a word, built by
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factors of base. Exception: For 2, 4, 8, etc, big_base is log2(base),
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i.e. the number of bits used to represent each digit in the base. */
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mp_limb_t big_base;
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/* A BITS_PER_MP_LIMB bit approximation to 1/big_base, represented as a
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fixed-point number. Instead of dividing by big_base an application can
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choose to multiply by big_base_inverted. */
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mp_limb_t big_base_inverted;
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};
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extern const struct bases __mp_bases[];
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extern mp_size_t __gmp_default_fp_limb_precision;
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/* Divide the two-limb number in (NH,,NL) by D, with DI being the largest
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limb not larger than (2**(2*BITS_PER_MP_LIMB))/D - (2**BITS_PER_MP_LIMB).
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If this would yield overflow, DI should be the largest possible number
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(i.e., only ones). For correct operation, the most significant bit of D
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has to be set. Put the quotient in Q and the remainder in R. */
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#define udiv_qrnnd_preinv(q, r, nh, nl, d, di) \
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do { \
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mp_limb_t _ql __attribute__ ((unused)); \
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mp_limb_t _q, _r; \
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mp_limb_t _xh, _xl; \
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umul_ppmm (_q, _ql, (nh), (di)); \
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_q += (nh); /* DI is 2**BITS_PER_MP_LIMB too small */\
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umul_ppmm (_xh, _xl, _q, (d)); \
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sub_ddmmss (_xh, _r, (nh), (nl), _xh, _xl); \
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if (_xh != 0) \
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{ \
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sub_ddmmss (_xh, _r, _xh, _r, 0, (d)); \
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_q += 1; \
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if (_xh != 0) \
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{ \
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sub_ddmmss (_xh, _r, _xh, _r, 0, (d)); \
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_q += 1; \
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} \
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} \
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if (_r >= (d)) \
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{ \
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_r -= (d); \
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_q += 1; \
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} \
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(r) = _r; \
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(q) = _q; \
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} while (0)
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/* Like udiv_qrnnd_preinv, but for any value D. DNORM is D shifted left
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so that its most significant bit is set. LGUP is ceil(log2(D)). */
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#define udiv_qrnnd_preinv2gen(q, r, nh, nl, d, di, dnorm, lgup) \
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do { \
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mp_limb_t n2, n10, n1, nadj, q1; \
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mp_limb_t _xh, _xl; \
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n2 = ((nh) << (BITS_PER_MP_LIMB - (lgup))) + ((nl) >> 1 >> (l - 1));\
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n10 = (nl) << (BITS_PER_MP_LIMB - (lgup)); \
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n1 = ((mp_limb_signed_t) n10 >> (BITS_PER_MP_LIMB - 1)); \
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nadj = n10 + (n1 & (dnorm)); \
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umul_ppmm (_xh, _xl, di, n2 - n1); \
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add_ssaaaa (_xh, _xl, _xh, _xl, 0, nadj); \
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q1 = ~(n2 + _xh); \
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umul_ppmm (_xh, _xl, q1, d); \
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add_ssaaaa (_xh, _xl, _xh, _xl, nh, nl); \
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_xh -= (d); \
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(r) = _xl + ((d) & _xh); \
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(q) = _xh - q1; \
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} while (0)
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/* Exactly like udiv_qrnnd_preinv, but branch-free. It is not clear which
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version to use. */
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#define udiv_qrnnd_preinv2norm(q, r, nh, nl, d, di) \
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do { \
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mp_limb_t n2, n10, n1, nadj, q1; \
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mp_limb_t _xh, _xl; \
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n2 = (nh); \
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n10 = (nl); \
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n1 = ((mp_limb_signed_t) n10 >> (BITS_PER_MP_LIMB - 1)); \
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nadj = n10 + (n1 & (d)); \
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umul_ppmm (_xh, _xl, di, n2 - n1); \
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add_ssaaaa (_xh, _xl, _xh, _xl, 0, nadj); \
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q1 = ~(n2 + _xh); \
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umul_ppmm (_xh, _xl, q1, d); \
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add_ssaaaa (_xh, _xl, _xh, _xl, nh, nl); \
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_xh -= (d); \
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(r) = _xl + ((d) & _xh); \
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(q) = _xh - q1; \
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} while (0)
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#if defined (__GNUC__)
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/* Define stuff for longlong.h. */
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typedef unsigned int UQItype __attribute__ ((mode (QI)));
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typedef int SItype __attribute__ ((mode (SI)));
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typedef unsigned int USItype __attribute__ ((mode (SI)));
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typedef int DItype __attribute__ ((mode (DI)));
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typedef unsigned int UDItype __attribute__ ((mode (DI)));
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#else
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typedef unsigned char UQItype;
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typedef long SItype;
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typedef unsigned long USItype;
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#endif
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typedef mp_limb_t UWtype;
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typedef unsigned int UHWtype;
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#define W_TYPE_SIZE BITS_PER_MP_LIMB
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/* Internal mpn calls */
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#define impn_mul_n_basecase __MPN(impn_mul_n_basecase)
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#define impn_mul_n __MPN(impn_mul_n)
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#define impn_sqr_n_basecase __MPN(impn_sqr_n_basecase)
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#define impn_sqr_n __MPN(impn_sqr_n)
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#ifndef _PROTO
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#if defined (__STDC__) || defined (__cplusplus)
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#define _PROTO(x) x
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#else
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#define _PROTO(x) ()
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#endif
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#endif
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/* Prototypes for internal mpn calls. */
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extern void impn_mul_n_basecase _PROTO ((mp_ptr prodp, mp_srcptr up,
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mp_srcptr vp, mp_size_t size))
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attribute_hidden;
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extern void impn_mul_n _PROTO ((mp_ptr prodp, mp_srcptr up, mp_srcptr vp,
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mp_size_t size, mp_ptr tspace))
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attribute_hidden;
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extern void impn_sqr_n_basecase _PROTO ((mp_ptr prodp, mp_srcptr up,
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mp_size_t size))
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attribute_hidden;
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extern void impn_sqr_n _PROTO ((mp_ptr prodp, mp_srcptr up, mp_size_t size,
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mp_ptr tspace))
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attribute_hidden;
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