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+/* 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