| Index: gcc/gmp/dumbmp.c
|
| diff --git a/gcc/gmp/dumbmp.c b/gcc/gmp/dumbmp.c
|
| deleted file mode 100644
|
| index cd8c67d369403f6b9a7411d1f39a218bc7d6b3fb..0000000000000000000000000000000000000000
|
| --- a/gcc/gmp/dumbmp.c
|
| +++ /dev/null
|
| @@ -1,887 +0,0 @@
|
| -/* dumbmp mini GMP compatible library.
|
| -
|
| -Copyright 2001, 2002, 2004 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 3 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. If not, see http://www.gnu.org/licenses/. */
|
| -
|
| -
|
| -/* The code here implements a subset (a very limited subset) of the main GMP
|
| - functions. It's designed for use in a few build-time calculations and
|
| - will be slow, but highly portable.
|
| -
|
| - None of the normal GMP configure things are used, nor any of the normal
|
| - gmp.h or gmp-impl.h. To use this file in a program just #include
|
| - "dumbmp.c".
|
| -
|
| - ANSI function definitions can be used here, since ansi2knr is run if
|
| - necessary. But other ANSI-isms like "const" should be avoided.
|
| -
|
| - mp_limb_t here is an unsigned long, since that's a sensible type
|
| - everywhere we know of, with 8*sizeof(unsigned long) giving the number of
|
| - bits in the type (that not being true for instance with int or short on
|
| - Cray vector systems.)
|
| -
|
| - Only the low half of each mp_limb_t is used, so as to make carry handling
|
| - and limb multiplies easy. GMP_LIMB_BITS is the number of bits used. */
|
| -
|
| -#include <stdio.h>
|
| -#include <stdlib.h>
|
| -#include <string.h>
|
| -
|
| -
|
| -typedef unsigned long mp_limb_t;
|
| -
|
| -typedef struct {
|
| - int _mp_alloc;
|
| - int _mp_size;
|
| - mp_limb_t *_mp_d;
|
| -} mpz_t[1];
|
| -
|
| -#define GMP_LIMB_BITS (sizeof (mp_limb_t) * 8 / 2)
|
| -
|
| -#define ABS(x) ((x) >= 0 ? (x) : -(x))
|
| -#define MIN(l,o) ((l) < (o) ? (l) : (o))
|
| -#define MAX(h,i) ((h) > (i) ? (h) : (i))
|
| -
|
| -#define ALLOC(x) ((x)->_mp_alloc)
|
| -#define PTR(x) ((x)->_mp_d)
|
| -#define SIZ(x) ((x)->_mp_size)
|
| -#define ABSIZ(x) ABS (SIZ (x))
|
| -#define LOMASK ((1L << GMP_LIMB_BITS) - 1)
|
| -#define LO(x) ((x) & LOMASK)
|
| -#define HI(x) ((x) >> GMP_LIMB_BITS)
|
| -
|
| -#define ASSERT(cond) \
|
| - do { \
|
| - if (! (cond)) \
|
| - { \
|
| - fprintf (stderr, "Assertion failure\n"); \
|
| - abort (); \
|
| - } \
|
| - } while (0)
|
| -
|
| -
|
| -char *
|
| -xmalloc (int n)
|
| -{
|
| - char *p;
|
| - p = malloc (n);
|
| - if (p == NULL)
|
| - {
|
| - fprintf (stderr, "Out of memory (alloc %d bytes)\n", n);
|
| - abort ();
|
| - }
|
| - return p;
|
| -}
|
| -
|
| -mp_limb_t *
|
| -xmalloc_limbs (int n)
|
| -{
|
| - return (mp_limb_t *) xmalloc (n * sizeof (mp_limb_t));
|
| -}
|
| -
|
| -void
|
| -mem_copyi (char *dst, char *src, int size)
|
| -{
|
| - int i;
|
| - for (i = 0; i < size; i++)
|
| - dst[i] = src[i];
|
| -}
|
| -
|
| -int
|
| -isprime (int n)
|
| -{
|
| - int i;
|
| - if (n < 2)
|
| - return 0;
|
| - for (i = 2; i < n; i++)
|
| - if ((n % i) == 0)
|
| - return 0;
|
| - return 1;
|
| -}
|
| -
|
| -int
|
| -log2_ceil (int n)
|
| -{
|
| - int e;
|
| - ASSERT (n >= 1);
|
| - for (e = 0; ; e++)
|
| - if ((1 << e) >= n)
|
| - break;
|
| - return e;
|
| -}
|
| -
|
| -void
|
| -mpz_realloc (mpz_t r, int n)
|
| -{
|
| - if (n <= ALLOC(r))
|
| - return;
|
| -
|
| - ALLOC(r) = n;
|
| - PTR(r) = (mp_limb_t *) realloc (PTR(r), n * sizeof (mp_limb_t));
|
| - if (PTR(r) == NULL)
|
| - {
|
| - fprintf (stderr, "Out of memory (realloc to %d)\n", n);
|
| - abort ();
|
| - }
|
| -}
|
| -
|
| -void
|
| -mpn_normalize (mp_limb_t *rp, int *rnp)
|
| -{
|
| - int rn = *rnp;
|
| - while (rn > 0 && rp[rn-1] == 0)
|
| - rn--;
|
| - *rnp = rn;
|
| -}
|
| -
|
| -void
|
| -mpn_copyi (mp_limb_t *dst, mp_limb_t *src, int n)
|
| -{
|
| - int i;
|
| - for (i = 0; i < n; i++)
|
| - dst[i] = src[i];
|
| -}
|
| -
|
| -void
|
| -mpn_zero (mp_limb_t *rp, int rn)
|
| -{
|
| - int i;
|
| - for (i = 0; i < rn; i++)
|
| - rp[i] = 0;
|
| -}
|
| -
|
| -void
|
| -mpz_init (mpz_t r)
|
| -{
|
| - ALLOC(r) = 1;
|
| - PTR(r) = xmalloc_limbs (ALLOC(r));
|
| - PTR(r)[0] = 0;
|
| - SIZ(r) = 0;
|
| -}
|
| -
|
| -void
|
| -mpz_clear (mpz_t r)
|
| -{
|
| - free (PTR (r));
|
| - ALLOC(r) = -1;
|
| - SIZ (r) = 0xbadcafeL;
|
| - PTR (r) = (mp_limb_t *) 0xdeadbeefL;
|
| -}
|
| -
|
| -int
|
| -mpz_sgn (mpz_t a)
|
| -{
|
| - return (SIZ(a) > 0 ? 1 : SIZ(a) == 0 ? 0 : -1);
|
| -}
|
| -
|
| -int
|
| -mpz_odd_p (mpz_t a)
|
| -{
|
| - if (SIZ(a) == 0)
|
| - return 0;
|
| - else
|
| - return (PTR(a)[0] & 1) != 0;
|
| -}
|
| -
|
| -int
|
| -mpz_even_p (mpz_t a)
|
| -{
|
| - if (SIZ(a) == 0)
|
| - return 1;
|
| - else
|
| - return (PTR(a)[0] & 1) == 0;
|
| -}
|
| -
|
| -size_t
|
| -mpz_sizeinbase (mpz_t a, int base)
|
| -{
|
| - int an = ABSIZ (a);
|
| - mp_limb_t *ap = PTR (a);
|
| - int cnt;
|
| - mp_limb_t hi;
|
| -
|
| - if (base != 2)
|
| - abort ();
|
| -
|
| - if (an == 0)
|
| - return 1;
|
| -
|
| - cnt = 0;
|
| - for (hi = ap[an - 1]; hi != 0; hi >>= 1)
|
| - cnt += 1;
|
| - return (an - 1) * GMP_LIMB_BITS + cnt;
|
| -}
|
| -
|
| -void
|
| -mpz_set (mpz_t r, mpz_t a)
|
| -{
|
| - mpz_realloc (r, ABSIZ (a));
|
| - SIZ(r) = SIZ(a);
|
| - mpn_copyi (PTR(r), PTR(a), ABSIZ (a));
|
| -}
|
| -
|
| -void
|
| -mpz_init_set (mpz_t r, mpz_t a)
|
| -{
|
| - mpz_init (r);
|
| - mpz_set (r, a);
|
| -}
|
| -
|
| -void
|
| -mpz_set_ui (mpz_t r, unsigned long ui)
|
| -{
|
| - int rn;
|
| - mpz_realloc (r, 2);
|
| - PTR(r)[0] = LO(ui);
|
| - PTR(r)[1] = HI(ui);
|
| - rn = 2;
|
| - mpn_normalize (PTR(r), &rn);
|
| - SIZ(r) = rn;
|
| -}
|
| -
|
| -void
|
| -mpz_init_set_ui (mpz_t r, unsigned long ui)
|
| -{
|
| - mpz_init (r);
|
| - mpz_set_ui (r, ui);
|
| -}
|
| -
|
| -void
|
| -mpz_setbit (mpz_t r, unsigned long bit)
|
| -{
|
| - int limb, rn, extend;
|
| - mp_limb_t *rp;
|
| -
|
| - rn = SIZ(r);
|
| - if (rn < 0)
|
| - abort (); /* only r>=0 */
|
| -
|
| - limb = bit / GMP_LIMB_BITS;
|
| - bit %= GMP_LIMB_BITS;
|
| -
|
| - mpz_realloc (r, limb+1);
|
| - rp = PTR(r);
|
| - extend = (limb+1) - rn;
|
| - if (extend > 0)
|
| - mpn_zero (rp + rn, extend);
|
| -
|
| - rp[limb] |= (mp_limb_t) 1 << bit;
|
| - SIZ(r) = MAX (rn, limb+1);
|
| -}
|
| -
|
| -int
|
| -mpz_tstbit (mpz_t r, unsigned long bit)
|
| -{
|
| - int limb;
|
| -
|
| - if (SIZ(r) < 0)
|
| - abort (); /* only r>=0 */
|
| -
|
| - limb = bit / GMP_LIMB_BITS;
|
| - if (SIZ(r) <= limb)
|
| - return 0;
|
| -
|
| - bit %= GMP_LIMB_BITS;
|
| - return (PTR(r)[limb] >> bit) & 1;
|
| -}
|
| -
|
| -int
|
| -popc_limb (mp_limb_t a)
|
| -{
|
| - int ret = 0;
|
| - while (a != 0)
|
| - {
|
| - ret += (a & 1);
|
| - a >>= 1;
|
| - }
|
| - return ret;
|
| -}
|
| -
|
| -unsigned long
|
| -mpz_popcount (mpz_t a)
|
| -{
|
| - unsigned long ret;
|
| - int i;
|
| -
|
| - if (SIZ(a) < 0)
|
| - abort ();
|
| -
|
| - ret = 0;
|
| - for (i = 0; i < SIZ(a); i++)
|
| - ret += popc_limb (PTR(a)[i]);
|
| - return ret;
|
| -}
|
| -
|
| -void
|
| -mpz_add (mpz_t r, mpz_t a, mpz_t b)
|
| -{
|
| - int an = ABSIZ (a), bn = ABSIZ (b), rn;
|
| - mp_limb_t *rp, *ap, *bp;
|
| - int i;
|
| - mp_limb_t t, cy;
|
| -
|
| - if ((SIZ (a) ^ SIZ (b)) < 0)
|
| - abort (); /* really subtraction */
|
| - if (SIZ (a) < 0)
|
| - abort ();
|
| -
|
| - mpz_realloc (r, MAX (an, bn) + 1);
|
| - ap = PTR (a); bp = PTR (b); rp = PTR (r);
|
| - if (an < bn)
|
| - {
|
| - mp_limb_t *tp; int tn;
|
| - tn = an; an = bn; bn = tn;
|
| - tp = ap; ap = bp; bp = tp;
|
| - }
|
| -
|
| - cy = 0;
|
| - for (i = 0; i < bn; i++)
|
| - {
|
| - t = ap[i] + bp[i] + cy;
|
| - rp[i] = LO (t);
|
| - cy = HI (t);
|
| - }
|
| - for (i = bn; i < an; i++)
|
| - {
|
| - t = ap[i] + cy;
|
| - rp[i] = LO (t);
|
| - cy = HI (t);
|
| - }
|
| - rp[an] = cy;
|
| - rn = an + 1;
|
| -
|
| - mpn_normalize (rp, &rn);
|
| - SIZ (r) = rn;
|
| -}
|
| -
|
| -void
|
| -mpz_add_ui (mpz_t r, mpz_t a, unsigned long int ui)
|
| -{
|
| - mpz_t b;
|
| -
|
| - mpz_init (b);
|
| - mpz_set_ui (b, ui);
|
| - mpz_add (r, a, b);
|
| - mpz_clear (b);
|
| -}
|
| -
|
| -void
|
| -mpz_sub (mpz_t r, mpz_t a, mpz_t b)
|
| -{
|
| - int an = ABSIZ (a), bn = ABSIZ (b), rn;
|
| - mp_limb_t *rp, *ap, *bp;
|
| - int i;
|
| - mp_limb_t t, cy;
|
| -
|
| - if ((SIZ (a) ^ SIZ (b)) < 0)
|
| - abort (); /* really addition */
|
| - if (SIZ (a) < 0)
|
| - abort ();
|
| -
|
| - mpz_realloc (r, MAX (an, bn) + 1);
|
| - ap = PTR (a); bp = PTR (b); rp = PTR (r);
|
| - if (an < bn)
|
| - {
|
| - mp_limb_t *tp; int tn;
|
| - tn = an; an = bn; bn = tn;
|
| - tp = ap; ap = bp; bp = tp;
|
| - }
|
| -
|
| - cy = 0;
|
| - for (i = 0; i < bn; i++)
|
| - {
|
| - t = ap[i] - bp[i] - cy;
|
| - rp[i] = LO (t);
|
| - cy = LO (-HI (t));
|
| - }
|
| - for (i = bn; i < an; i++)
|
| - {
|
| - t = ap[i] - cy;
|
| - rp[i] = LO (t);
|
| - cy = LO (-HI (t));
|
| - }
|
| - rp[an] = cy;
|
| - rn = an + 1;
|
| -
|
| - if (cy != 0)
|
| - {
|
| - cy = 0;
|
| - for (i = 0; i < rn; i++)
|
| - {
|
| - t = -rp[i] - cy;
|
| - rp[i] = LO (t);
|
| - cy = LO (-HI (t));
|
| - }
|
| - SIZ (r) = -rn;
|
| - return;
|
| - }
|
| -
|
| - mpn_normalize (rp, &rn);
|
| - SIZ (r) = rn;
|
| -}
|
| -
|
| -void
|
| -mpz_sub_ui (mpz_t r, mpz_t a, unsigned long int ui)
|
| -{
|
| - mpz_t b;
|
| -
|
| - mpz_init (b);
|
| - mpz_set_ui (b, ui);
|
| - mpz_sub (r, a, b);
|
| - mpz_clear (b);
|
| -}
|
| -
|
| -void
|
| -mpz_mul (mpz_t r, mpz_t a, mpz_t b)
|
| -{
|
| - int an = ABSIZ (a), bn = ABSIZ (b), rn;
|
| - mp_limb_t *scratch, *tmp, *ap = PTR (a), *bp = PTR (b);
|
| - int ai, bi;
|
| - mp_limb_t t, cy;
|
| -
|
| - scratch = xmalloc_limbs (an + bn);
|
| - tmp = scratch;
|
| -
|
| - for (bi = 0; bi < bn; bi++)
|
| - tmp[bi] = 0;
|
| -
|
| - for (ai = 0; ai < an; ai++)
|
| - {
|
| - tmp = scratch + ai;
|
| - cy = 0;
|
| - for (bi = 0; bi < bn; bi++)
|
| - {
|
| - t = ap[ai] * bp[bi] + tmp[bi] + cy;
|
| - tmp[bi] = LO (t);
|
| - cy = HI (t);
|
| - }
|
| - tmp[bn] = cy;
|
| - }
|
| -
|
| - rn = an + bn;
|
| - mpn_normalize (scratch, &rn);
|
| - free (PTR (r));
|
| - PTR (r) = scratch;
|
| - SIZ (r) = (SIZ (a) ^ SIZ (b)) >= 0 ? rn : -rn;
|
| - ALLOC (r) = an + bn;
|
| -}
|
| -
|
| -void
|
| -mpz_mul_ui (mpz_t r, mpz_t a, unsigned long int ui)
|
| -{
|
| - mpz_t b;
|
| -
|
| - mpz_init (b);
|
| - mpz_set_ui (b, ui);
|
| - mpz_mul (r, a, b);
|
| - mpz_clear (b);
|
| -}
|
| -
|
| -void
|
| -mpz_mul_2exp (mpz_t r, mpz_t a, unsigned long int bcnt)
|
| -{
|
| - mpz_set (r, a);
|
| - while (bcnt)
|
| - {
|
| - mpz_add (r, r, r);
|
| - bcnt -= 1;
|
| - }
|
| -}
|
| -
|
| -void
|
| -mpz_ui_pow_ui (mpz_t r, unsigned long b, unsigned long e)
|
| -{
|
| - unsigned long i;
|
| - mpz_t bz;
|
| -
|
| - mpz_init (bz);
|
| - mpz_set_ui (bz, b);
|
| -
|
| - mpz_set_ui (r, 1L);
|
| - for (i = 0; i < e; i++)
|
| - mpz_mul (r, r, bz);
|
| -
|
| - mpz_clear (bz);
|
| -}
|
| -
|
| -void
|
| -mpz_tdiv_q_2exp (mpz_t r, mpz_t a, unsigned long int bcnt)
|
| -{
|
| - int as, rn;
|
| - int cnt, tnc;
|
| - int lcnt;
|
| - mp_limb_t high_limb, low_limb;
|
| - int i;
|
| -
|
| - as = SIZ (a);
|
| - lcnt = bcnt / GMP_LIMB_BITS;
|
| - rn = ABS (as) - lcnt;
|
| - if (rn <= 0)
|
| - SIZ (r) = 0;
|
| - else
|
| - {
|
| - mp_limb_t *rp, *ap;
|
| -
|
| - mpz_realloc (r, rn);
|
| -
|
| - rp = PTR (r);
|
| - ap = PTR (a);
|
| -
|
| - cnt = bcnt % GMP_LIMB_BITS;
|
| - if (cnt != 0)
|
| - {
|
| - ap += lcnt;
|
| - tnc = GMP_LIMB_BITS - cnt;
|
| - high_limb = *ap++;
|
| - low_limb = high_limb >> cnt;
|
| -
|
| - for (i = rn - 1; i != 0; i--)
|
| - {
|
| - high_limb = *ap++;
|
| - *rp++ = low_limb | LO (high_limb << tnc);
|
| - low_limb = high_limb >> cnt;
|
| - }
|
| - *rp = low_limb;
|
| - rn -= low_limb == 0;
|
| - }
|
| - else
|
| - {
|
| - ap += lcnt;
|
| - mpn_copyi (rp, ap, rn);
|
| - }
|
| -
|
| - SIZ (r) = as >= 0 ? rn : -rn;
|
| - }
|
| -}
|
| -
|
| -void
|
| -mpz_tdiv_r_2exp (mpz_t r, mpz_t a, unsigned long int bcnt)
|
| -{
|
| - int rn, bwhole;
|
| -
|
| - mpz_set (r, a);
|
| - rn = ABSIZ(r);
|
| -
|
| - bwhole = bcnt / GMP_LIMB_BITS;
|
| - bcnt %= GMP_LIMB_BITS;
|
| - if (rn > bwhole)
|
| - {
|
| - rn = bwhole+1;
|
| - PTR(r)[rn-1] &= ((mp_limb_t) 1 << bcnt) - 1;
|
| - mpn_normalize (PTR(r), &rn);
|
| - SIZ(r) = (SIZ(r) >= 0 ? rn : -rn);
|
| - }
|
| -}
|
| -
|
| -int
|
| -mpz_cmp (mpz_t a, mpz_t b)
|
| -{
|
| - mp_limb_t *ap, *bp, al, bl;
|
| - int as = SIZ (a), bs = SIZ (b);
|
| - int i;
|
| - int sign;
|
| -
|
| - if (as != bs)
|
| - return as > bs ? 1 : -1;
|
| -
|
| - sign = as > 0 ? 1 : -1;
|
| -
|
| - ap = PTR (a);
|
| - bp = PTR (b);
|
| - for (i = ABS (as) - 1; i >= 0; i--)
|
| - {
|
| - al = ap[i];
|
| - bl = bp[i];
|
| - if (al != bl)
|
| - return al > bl ? sign : -sign;
|
| - }
|
| - return 0;
|
| -}
|
| -
|
| -int
|
| -mpz_cmp_ui (mpz_t a, unsigned long b)
|
| -{
|
| - mpz_t bz;
|
| - int ret;
|
| - mpz_init_set_ui (bz, b);
|
| - ret = mpz_cmp (a, bz);
|
| - mpz_clear (bz);
|
| - return ret;
|
| -}
|
| -
|
| -void
|
| -mpz_tdiv_qr (mpz_t q, mpz_t r, mpz_t a, mpz_t b)
|
| -{
|
| - mpz_t tmpr, tmpb;
|
| - unsigned long cnt;
|
| -
|
| - ASSERT (mpz_sgn(a) >= 0);
|
| - ASSERT (mpz_sgn(b) > 0);
|
| -
|
| - mpz_init_set (tmpr, a);
|
| - mpz_init_set (tmpb, b);
|
| - mpz_set_ui (q, 0L);
|
| -
|
| - if (mpz_cmp (tmpr, tmpb) > 0)
|
| - {
|
| - cnt = mpz_sizeinbase (tmpr, 2) - mpz_sizeinbase (tmpb, 2) + 1;
|
| - mpz_mul_2exp (tmpb, tmpb, cnt);
|
| -
|
| - for ( ; cnt > 0; cnt--)
|
| - {
|
| - mpz_mul_2exp (q, q, 1);
|
| - mpz_tdiv_q_2exp (tmpb, tmpb, 1L);
|
| - if (mpz_cmp (tmpr, tmpb) >= 0)
|
| - {
|
| - mpz_sub (tmpr, tmpr, tmpb);
|
| - mpz_add_ui (q, q, 1L);
|
| - ASSERT (mpz_cmp (tmpr, tmpb) < 0);
|
| - }
|
| - }
|
| - }
|
| -
|
| - mpz_set (r, tmpr);
|
| - mpz_clear (tmpr);
|
| - mpz_clear (tmpb);
|
| -}
|
| -
|
| -void
|
| -mpz_tdiv_qr_ui (mpz_t q, mpz_t r, mpz_t a, unsigned long b)
|
| -{
|
| - mpz_t bz;
|
| - mpz_init_set_ui (bz, b);
|
| - mpz_tdiv_qr (q, r, a, bz);
|
| - mpz_clear (bz);
|
| -}
|
| -
|
| -void
|
| -mpz_tdiv_q (mpz_t q, mpz_t a, mpz_t b)
|
| -{
|
| - mpz_t r;
|
| -
|
| - mpz_init (r);
|
| - mpz_tdiv_qr (q, r, a, b);
|
| - mpz_clear (r);
|
| -}
|
| -
|
| -void
|
| -mpz_tdiv_q_ui (mpz_t q, mpz_t n, unsigned long d)
|
| -{
|
| - mpz_t dz;
|
| - mpz_init_set_ui (dz, d);
|
| - mpz_tdiv_q (q, n, dz);
|
| - mpz_clear (dz);
|
| -}
|
| -
|
| -/* Set inv to the inverse of d, in the style of invert_limb, ie. for
|
| - udiv_qrnnd_preinv. */
|
| -void
|
| -mpz_preinv_invert (mpz_t inv, mpz_t d, int numb_bits)
|
| -{
|
| - mpz_t t;
|
| - int norm;
|
| - ASSERT (SIZ(d) > 0);
|
| -
|
| - norm = numb_bits - mpz_sizeinbase (d, 2);
|
| - ASSERT (norm >= 0);
|
| - mpz_init_set_ui (t, 1L);
|
| - mpz_mul_2exp (t, t, 2*numb_bits - norm);
|
| - mpz_tdiv_q (inv, t, d);
|
| - mpz_set_ui (t, 1L);
|
| - mpz_mul_2exp (t, t, numb_bits);
|
| - mpz_sub (inv, inv, t);
|
| -
|
| - mpz_clear (t);
|
| -}
|
| -
|
| -/* Remove leading '0' characters from the start of a string, by copying the
|
| - remainder down. */
|
| -void
|
| -strstrip_leading_zeros (char *s)
|
| -{
|
| - char c, *p;
|
| -
|
| - p = s;
|
| - while (*s == '0')
|
| - s++;
|
| -
|
| - do
|
| - {
|
| - c = *s++;
|
| - *p++ = c;
|
| - }
|
| - while (c != '\0');
|
| -}
|
| -
|
| -char *
|
| -mpz_get_str (char *buf, int base, mpz_t a)
|
| -{
|
| - static char tohex[] = "0123456789abcdef";
|
| -
|
| - mp_limb_t alimb, *ap;
|
| - int an, bn, i, j;
|
| - char *bp;
|
| -
|
| - if (base != 16)
|
| - abort ();
|
| - if (SIZ (a) < 0)
|
| - abort ();
|
| -
|
| - if (buf == 0)
|
| - buf = xmalloc (ABSIZ (a) * (GMP_LIMB_BITS / 4) + 3);
|
| -
|
| - an = ABSIZ (a);
|
| - if (an == 0)
|
| - {
|
| - buf[0] = '0';
|
| - buf[1] = '\0';
|
| - return buf;
|
| - }
|
| -
|
| - ap = PTR (a);
|
| - bn = an * (GMP_LIMB_BITS / 4);
|
| - bp = buf + bn;
|
| -
|
| - for (i = 0; i < an; i++)
|
| - {
|
| - alimb = ap[i];
|
| - for (j = 0; j < GMP_LIMB_BITS / 4; j++)
|
| - {
|
| - bp--;
|
| - *bp = tohex [alimb & 0xF];
|
| - alimb >>= 4;
|
| - }
|
| - ASSERT (alimb == 0);
|
| - }
|
| - ASSERT (bp == buf);
|
| -
|
| - buf[bn] = '\0';
|
| -
|
| - strstrip_leading_zeros (buf);
|
| - return buf;
|
| -}
|
| -
|
| -void
|
| -mpz_out_str (FILE *file, int base, mpz_t a)
|
| -{
|
| - char *str;
|
| -
|
| - if (file == 0)
|
| - file = stdout;
|
| -
|
| - str = mpz_get_str (0, 16, a);
|
| - fputs (str, file);
|
| - free (str);
|
| -}
|
| -
|
| -/* Calculate r satisfying r*d == 1 mod 2^n. */
|
| -void
|
| -mpz_invert_2exp (mpz_t r, mpz_t a, unsigned long n)
|
| -{
|
| - unsigned long i;
|
| - mpz_t inv, prod;
|
| -
|
| - ASSERT (mpz_odd_p (a));
|
| -
|
| - mpz_init_set_ui (inv, 1L);
|
| - mpz_init (prod);
|
| -
|
| - for (i = 1; i < n; i++)
|
| - {
|
| - mpz_mul (prod, inv, a);
|
| - if (mpz_tstbit (prod, i) != 0)
|
| - mpz_setbit (inv, i);
|
| - }
|
| -
|
| - mpz_mul (prod, inv, a);
|
| - mpz_tdiv_r_2exp (prod, prod, n);
|
| - ASSERT (mpz_cmp_ui (prod, 1L) == 0);
|
| -
|
| - mpz_set (r, inv);
|
| -
|
| - mpz_clear (inv);
|
| - mpz_clear (prod);
|
| -}
|
| -
|
| -/* Calculate inv satisfying r*a == 1 mod 2^n. */
|
| -void
|
| -mpz_invert_ui_2exp (mpz_t r, unsigned long a, unsigned long n)
|
| -{
|
| - mpz_t az;
|
| - mpz_init_set_ui (az, a);
|
| - mpz_invert_2exp (r, az, n);
|
| - mpz_clear (az);
|
| -}
|
| -
|
| -/* x=y^z */
|
| -void
|
| -mpz_pow_ui (mpz_t x, mpz_t y, unsigned long z)
|
| -{
|
| - mpz_t t;
|
| -
|
| - mpz_init_set_ui (t, 1);
|
| - for (; z != 0; z--)
|
| - mpz_mul (t, t, y);
|
| - mpz_set (x, t);
|
| - mpz_clear (t);
|
| -}
|
| -
|
| -/* x=x+y*z */
|
| -void
|
| -mpz_addmul_ui (mpz_t x, mpz_t y, unsigned long z)
|
| -{
|
| - mpz_t t;
|
| -
|
| - mpz_init (t);
|
| - mpz_mul_ui (t, y, z);
|
| - mpz_add (x, x, t);
|
| - mpz_clear (t);
|
| -}
|
| -
|
| -/* x=floor(y^(1/z)) */
|
| -void
|
| -mpz_root (mpz_t x, mpz_t y, unsigned long z)
|
| -{
|
| - mpz_t t, u;
|
| -
|
| - if (mpz_sgn (y) < 0)
|
| - {
|
| - fprintf (stderr, "mpz_root does not accept negative values\n");
|
| - abort ();
|
| - }
|
| - if (mpz_cmp_ui (y, 1) <= 0)
|
| - {
|
| - mpz_set (x, y);
|
| - return;
|
| - }
|
| - mpz_init (t);
|
| - mpz_init_set (u, y);
|
| - do
|
| - {
|
| - mpz_pow_ui (t, u, z - 1);
|
| - mpz_tdiv_q (t, y, t);
|
| - mpz_addmul_ui (t, u, z - 1);
|
| - mpz_tdiv_q_ui (t, t, z);
|
| - if (mpz_cmp (t, u) >= 0)
|
| - break;
|
| - mpz_set (u, t);
|
| - }
|
| - while (1);
|
| - mpz_set (x, u);
|
| - mpz_clear (t);
|
| - mpz_clear (u);
|
| -}
|
|
|