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+/* Functions needed for bootstrapping the gmp build, based on mini-gmp.
+
+Copyright 2001, 2002, 2004, 2011, 2012, 2015 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 either:
+
+ * 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.
+
+or
+
+ * the GNU General Public License as published by the Free Software
+ Foundation; either version 2 of the License, or (at your option) any
+ later version.
+
+or both in parallel, as here.
+
+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 General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library. If not,
+see https://www.gnu.org/licenses/. */
+
+
+#define MINI_GMP_DONT_USE_FLOAT_H 1
+#include "mini-gmp/mini-gmp.c"
+
+#define MIN(l,o) ((l) < (o) ? (l) : (o))
+#define PTR(x) ((x)->_mp_d)
+#define SIZ(x) ((x)->_mp_size)
+
+#define xmalloc gmp_default_alloc
+
+int
+isprime (unsigned long int t)
+{
+ unsigned long int q, r, d;
+
+ if (t < 32)
+ return (0xa08a28acUL >> t) & 1;
+ if ((t & 1) == 0)
+ return 0;
+
+ if (t % 3 == 0)
+ return 0;
+ if (t % 5 == 0)
+ return 0;
+ if (t % 7 == 0)
+ return 0;
+
+ for (d = 11;;)
+ {
+ q = t / d;
+ r = t - q * d;
+ if (q < d)
+ return 1;
+ if (r == 0)
+ break;
+ d += 2;
+ q = t / d;
+ r = t - q * d;
+ if (q < d)
+ return 1;
+ if (r == 0)
+ break;
+ d += 4;
+ }
+ return 0;
+}
+
+int
+log2_ceil (int n)
+{
+ int e;
+ assert (n >= 1);
+ for (e = 0; ; e++)
+ if ((1 << e) >= n)
+ break;
+ return e;
+}
+
+/* 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, const 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 (t);
+ mpz_setbit (t, 2*numb_bits - norm);
+ mpz_tdiv_q (inv, t, d);
+ mpz_clrbit (inv, numb_bits);
+
+ mpz_clear (t);
+}
+
+/* Calculate r satisfying r*a == 1 mod 2^n. */
+void
+mpz_invert_2exp (mpz_t r, const mpz_t a, unsigned long n)
+{
+ mpz_t mod;
+
+ assert (mpz_odd_p (a));
+
+ mpz_init (mod);
+ mpz_setbit (mod, n);
+
+ mpz_invert (r, a, mod);
+
+ mpz_clear (mod);
+}
+
+/* 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);
+}