123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371 |
- /* Include file for internal GNU MP types and definitions.
- Copyright (C) 1991-2019 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 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 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 Lesser General Public
- License for more details.
- You should have received a copy of the GNU Lesser General Public License
- along with the GNU MP Library; see the file COPYING.LIB. If not, see
- <http://www.gnu.org/licenses/>. */
- /* When using gcc, make sure to use its builtin alloca. */
- #if ! defined (alloca) && defined (__GNUC__)
- #define alloca __builtin_alloca
- #define HAVE_ALLOCA
- #endif
- /* When using cc, do whatever necessary to allow use of alloca. For many
- machines, this means including alloca.h. IBM's compilers need a #pragma
- in "each module that needs to use alloca". */
- #if ! defined (alloca)
- /* We need lots of variants for MIPS, to cover all versions and perversions
- of OSes for MIPS. */
- #if defined (__mips) || defined (MIPSEL) || defined (MIPSEB) \
- || defined (_MIPSEL) || defined (_MIPSEB) || defined (__sgi) \
- || defined (__alpha) || defined (__sparc) || defined (sparc) \
- || defined (__ksr__)
- #include <alloca.h>
- #define HAVE_ALLOCA
- #endif
- #if defined (_IBMR2)
- #pragma alloca
- #define HAVE_ALLOCA
- #endif
- #if defined (__DECC)
- #define alloca(x) __ALLOCA(x)
- #define HAVE_ALLOCA
- #endif
- #endif
- #if (! defined (alloca) && ! defined (HAVE_ALLOCA)) \
- || defined (USE_STACK_ALLOC)
- #include "stack-alloc.h"
- #else
- #define TMP_DECL(m)
- #define TMP_ALLOC(x) alloca(x)
- #define TMP_MARK(m)
- #define TMP_FREE(m)
- #endif
- #ifndef NULL
- #define NULL ((void *) 0)
- #endif
- #if ! defined (__GNUC__)
- #define inline /* Empty */
- #endif
- /* Get MAX/MIN macros. */
- #include <sys/param.h>
- /* Field access macros. */
- #define SIZ(x) ((x)->_mp_size)
- #define PTR(x) ((x)->_mp_d)
- #define EXP(x) ((x)->_mp_exp)
- #define PREC(x) ((x)->_mp_prec)
- #define ALLOC(x) ((x)->_mp_alloc)
- #include "gmp-mparam.h"
- /* #include "longlong.h" */
- #if defined (__STDC__) || defined (__cplusplus)
- 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)
- /* 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->_mp_alloc = (NLIMBS); \
- __x->_mp_d = (mp_ptr) TMP_ALLOC ((NLIMBS) * BYTES_PER_MP_LIMB); \
- } while (0)
- #define MPN_MUL_N_RECURSE(prodp, up, vp, size, tspace) \
- do { \
- if ((size) < KARATSUBA_THRESHOLD) \
- impn_mul_n_basecase (prodp, up, vp, size); \
- else \
- impn_mul_n (prodp, up, vp, size, tspace); \
- } while (0);
- #define MPN_SQR_N_RECURSE(prodp, up, size, tspace) \
- do { \
- if ((size) < KARATSUBA_THRESHOLD) \
- impn_sqr_n_basecase (prodp, up, size); \
- else \
- impn_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_t.
- For example, for base 10 on a machine where a mp_limb_t has 32 bits this
- is 9, since 10**9 is the largest number that fits into a mp_limb_t. */
- int chars_per_limb;
- /* log(2)/log(conversion_base) */
- float chars_per_bit_exactly;
- /* base**chars_per_limb, i.e. the biggest number that fits a word, built by
- factors of 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_t big_base;
- /* 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_t 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 the largest
- limb not larger than (2**(2*BITS_PER_MP_LIMB))/D - (2**BITS_PER_MP_LIMB).
- If this would yield overflow, DI should be the largest possible number
- (i.e., only ones). For correct operation, the most significant bit of D
- has to be set. Put the quotient in Q and the remainder in R. */
- #define udiv_qrnnd_preinv(q, r, nh, nl, d, di) \
- do { \
- mp_limb_t _ql __attribute__ ((unused)); \
- mp_limb_t _q, _r; \
- mp_limb_t _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)
- /* Like udiv_qrnnd_preinv, but for any value D. DNORM is D shifted left
- so that its most significant bit is set. LGUP is ceil(log2(D)). */
- #define udiv_qrnnd_preinv2gen(q, r, nh, nl, d, di, dnorm, lgup) \
- do { \
- mp_limb_t n2, n10, n1, nadj, q1; \
- mp_limb_t _xh, _xl; \
- n2 = ((nh) << (BITS_PER_MP_LIMB - (lgup))) + ((nl) >> 1 >> (l - 1));\
- n10 = (nl) << (BITS_PER_MP_LIMB - (lgup)); \
- n1 = ((mp_limb_signed_t) 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)
- /* Exactly like udiv_qrnnd_preinv, but branch-free. It is not clear which
- version to use. */
- #define udiv_qrnnd_preinv2norm(q, r, nh, nl, d, di) \
- do { \
- mp_limb_t n2, n10, n1, nadj, q1; \
- mp_limb_t _xh, _xl; \
- n2 = (nh); \
- n10 = (nl); \
- n1 = ((mp_limb_signed_t) 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. */
- 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 char UQItype;
- typedef long SItype;
- typedef unsigned long USItype;
- #endif
- typedef mp_limb_t UWtype;
- typedef unsigned int UHWtype;
- #define W_TYPE_SIZE BITS_PER_MP_LIMB
- /* Internal mpn calls */
- #define impn_mul_n_basecase __MPN(impn_mul_n_basecase)
- #define impn_mul_n __MPN(impn_mul_n)
- #define impn_sqr_n_basecase __MPN(impn_sqr_n_basecase)
- #define impn_sqr_n __MPN(impn_sqr_n)
- #ifndef _PROTO
- #if defined (__STDC__) || defined (__cplusplus)
- #define _PROTO(x) x
- #else
- #define _PROTO(x) ()
- #endif
- #endif
- /* Prototypes for internal mpn calls. */
- extern void impn_mul_n_basecase _PROTO ((mp_ptr prodp, mp_srcptr up,
- mp_srcptr vp, mp_size_t size))
- attribute_hidden;
- extern void impn_mul_n _PROTO ((mp_ptr prodp, mp_srcptr up, mp_srcptr vp,
- mp_size_t size, mp_ptr tspace))
- attribute_hidden;
- extern void impn_sqr_n_basecase _PROTO ((mp_ptr prodp, mp_srcptr up,
- mp_size_t size))
- attribute_hidden;
- extern void impn_sqr_n _PROTO ((mp_ptr prodp, mp_srcptr up, mp_size_t size,
- mp_ptr tspace))
- attribute_hidden;
- #ifndef IEEE_DOUBLE_BIG_ENDIAN
- #define IEEE_DOUBLE_BIG_ENDIAN 1
- #endif
- #ifndef IEEE_DOUBLE_MIXED_ENDIAN
- #define IEEE_DOUBLE_MIXED_ENDIAN 0
- #endif
- #if IEEE_DOUBLE_MIXED_ENDIAN
- union ieee_double_extract
- {
- struct
- {
- unsigned int manh:20;
- unsigned int exp:11;
- unsigned int sig:1;
- unsigned int manl:32;
- } s;
- double d;
- };
- #else
- #if IEEE_DOUBLE_BIG_ENDIAN
- union ieee_double_extract
- {
- struct
- {
- unsigned int sig:1;
- unsigned int exp:11;
- unsigned int manh:20;
- unsigned int manl:32;
- } s;
- double d;
- };
- #else
- union ieee_double_extract
- {
- struct
- {
- unsigned int manl:32;
- unsigned int manh:20;
- unsigned int exp:11;
- unsigned int sig:1;
- } s;
- double d;
- };
- #endif
- #endif
|