Revert "Remove gmp from AOS"
This reverts commit f37c97684f0910a3f241394549392f00145ab0f7.
We need gmp for SymEngine for symbolicmanipultion in C++
Change-Id: Ia13216d1715cf96944f7b4f422b7a799f921d4a4
Signed-off-by: Austin Schuh <austin.linux@gmail.com>
diff --git a/third_party/gmp/rand/Makefile.am b/third_party/gmp/rand/Makefile.am
new file mode 100644
index 0000000..b3b98c0
--- /dev/null
+++ b/third_party/gmp/rand/Makefile.am
@@ -0,0 +1,38 @@
+## Process this file with automake to generate Makefile.in
+
+# Copyright 2001, 2002, 2010 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,
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+
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diff --git a/third_party/gmp/rand/Makefile.in b/third_party/gmp/rand/Makefile.in
new file mode 100644
index 0000000..52cb75a
--- /dev/null
+++ b/third_party/gmp/rand/Makefile.in
@@ -0,0 +1,643 @@
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+ find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \
+ fi; \
+ cp -fpR $$d/$$file "$(distdir)$$dir" || exit 1; \
+ else \
+ test -f "$(distdir)/$$file" \
+ || cp -p $$d/$$file "$(distdir)/$$file" \
+ || exit 1; \
+ fi; \
+ done
+check-am: all-am
+check: check-am
+all-am: Makefile $(LTLIBRARIES)
+installdirs:
+install: install-am
+install-exec: install-exec-am
+install-data: install-data-am
+uninstall: uninstall-am
+
+install-am: all-am
+ @$(MAKE) $(AM_MAKEFLAGS) install-exec-am install-data-am
+
+installcheck: installcheck-am
+install-strip:
+ if test -z '$(STRIP)'; then \
+ $(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \
+ install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \
+ install; \
+ else \
+ $(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \
+ install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \
+ "INSTALL_PROGRAM_ENV=STRIPPROG='$(STRIP)'" install; \
+ fi
+mostlyclean-generic:
+
+clean-generic:
+
+distclean-generic:
+ -test -z "$(CONFIG_CLEAN_FILES)" || rm -f $(CONFIG_CLEAN_FILES)
+ -test . = "$(srcdir)" || test -z "$(CONFIG_CLEAN_VPATH_FILES)" || rm -f $(CONFIG_CLEAN_VPATH_FILES)
+
+maintainer-clean-generic:
+ @echo "This command is intended for maintainers to use"
+ @echo "it deletes files that may require special tools to rebuild."
+clean: clean-am
+
+clean-am: clean-generic clean-libtool clean-noinstLTLIBRARIES \
+ mostlyclean-am
+
+distclean: distclean-am
+ -rm -f Makefile
+distclean-am: clean-am distclean-compile distclean-generic \
+ distclean-tags
+
+dvi: dvi-am
+
+dvi-am:
+
+html: html-am
+
+html-am:
+
+info: info-am
+
+info-am:
+
+install-data-am:
+
+install-dvi: install-dvi-am
+
+install-dvi-am:
+
+install-exec-am:
+
+install-html: install-html-am
+
+install-html-am:
+
+install-info: install-info-am
+
+install-info-am:
+
+install-man:
+
+install-pdf: install-pdf-am
+
+install-pdf-am:
+
+install-ps: install-ps-am
+
+install-ps-am:
+
+installcheck-am:
+
+maintainer-clean: maintainer-clean-am
+ -rm -f Makefile
+maintainer-clean-am: distclean-am maintainer-clean-generic
+
+mostlyclean: mostlyclean-am
+
+mostlyclean-am: mostlyclean-compile mostlyclean-generic \
+ mostlyclean-libtool
+
+pdf: pdf-am
+
+pdf-am:
+
+ps: ps-am
+
+ps-am:
+
+uninstall-am:
+
+.MAKE: install-am install-strip
+
+.PHONY: CTAGS GTAGS TAGS all all-am check check-am clean clean-generic \
+ clean-libtool clean-noinstLTLIBRARIES cscopelist-am ctags \
+ ctags-am distclean distclean-compile distclean-generic \
+ distclean-libtool distclean-tags distdir dvi dvi-am html \
+ html-am info info-am install install-am install-data \
+ install-data-am install-dvi install-dvi-am install-exec \
+ install-exec-am install-html install-html-am install-info \
+ install-info-am install-man install-pdf install-pdf-am \
+ install-ps install-ps-am install-strip installcheck \
+ installcheck-am installdirs maintainer-clean \
+ maintainer-clean-generic mostlyclean mostlyclean-compile \
+ mostlyclean-generic mostlyclean-libtool pdf pdf-am ps ps-am \
+ tags tags-am uninstall uninstall-am
+
+.PRECIOUS: Makefile
+
+
+# Tell versions [3.59,3.63) of GNU make to not export all variables.
+# Otherwise a system limit (for SysV at least) may be exceeded.
+.NOEXPORT:
diff --git a/third_party/gmp/rand/rand.c b/third_party/gmp/rand/rand.c
new file mode 100644
index 0000000..418b3de
--- /dev/null
+++ b/third_party/gmp/rand/rand.c
@@ -0,0 +1,51 @@
+/* gmp_randinit (state, algorithm, ...) -- Initialize a random state.
+
+Copyright 1999-2002 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/. */
+
+#include <stdarg.h>
+
+#include "gmp-impl.h"
+
+void
+gmp_randinit (gmp_randstate_t rstate, gmp_randalg_t alg, ...)
+{
+ va_list ap;
+ va_start (ap, alg);
+
+ switch (alg) {
+ case GMP_RAND_ALG_LC:
+ if (! gmp_randinit_lc_2exp_size (rstate, va_arg (ap, unsigned long)))
+ gmp_errno |= GMP_ERROR_INVALID_ARGUMENT;
+ break;
+ default:
+ gmp_errno |= GMP_ERROR_UNSUPPORTED_ARGUMENT;
+ break;
+ }
+ va_end (ap);
+}
diff --git a/third_party/gmp/rand/randbui.c b/third_party/gmp/rand/randbui.c
new file mode 100644
index 0000000..de9e95b
--- /dev/null
+++ b/third_party/gmp/rand/randbui.c
@@ -0,0 +1,56 @@
+/* gmp_urandomb_ui -- random bits returned in a ulong.
+
+Copyright 2003, 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 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/. */
+
+#include "gmp-impl.h"
+
+
+/* Currently bits>=BITS_PER_ULONG is quietly truncated to BITS_PER_ULONG,
+ maybe this should raise an exception or something. */
+
+unsigned long
+gmp_urandomb_ui (gmp_randstate_ptr rstate, unsigned long bits)
+{
+ mp_limb_t a[LIMBS_PER_ULONG];
+
+ /* start with zeros, since if bits==0 then _gmp_rand will store nothing at
+ all, or if bits <= GMP_NUMB_BITS then it will store only a[0] */
+ a[0] = 0;
+#if LIMBS_PER_ULONG > 1
+ a[1] = 0;
+#endif
+
+ _gmp_rand (a, rstate, MIN (bits, BITS_PER_ULONG));
+
+#if LIMBS_PER_ULONG == 1
+ return a[0];
+#else
+ return a[0] | (a[1] << GMP_NUMB_BITS);
+#endif
+}
diff --git a/third_party/gmp/rand/randclr.c b/third_party/gmp/rand/randclr.c
new file mode 100644
index 0000000..5603ed7
--- /dev/null
+++ b/third_party/gmp/rand/randclr.c
@@ -0,0 +1,37 @@
+/* gmp_randclear (state) -- Clear and deallocate random state STATE.
+
+Copyright 1999-2002 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/. */
+
+#include "gmp-impl.h"
+
+void
+gmp_randclear (gmp_randstate_t rstate)
+{
+ (*((gmp_randfnptr_t *) RNG_FNPTR (rstate))->randclear_fn) (rstate);
+}
diff --git a/third_party/gmp/rand/randdef.c b/third_party/gmp/rand/randdef.c
new file mode 100644
index 0000000..a8a1792
--- /dev/null
+++ b/third_party/gmp/rand/randdef.c
@@ -0,0 +1,37 @@
+/* gmp_randinit_default -- initialize a random state with a default algorithm.
+
+Copyright 2001, 2002 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/. */
+
+#include "gmp-impl.h"
+
+void
+gmp_randinit_default (gmp_randstate_t rstate)
+{
+ gmp_randinit_mt (rstate);
+}
diff --git a/third_party/gmp/rand/randiset.c b/third_party/gmp/rand/randiset.c
new file mode 100644
index 0000000..11b5b97
--- /dev/null
+++ b/third_party/gmp/rand/randiset.c
@@ -0,0 +1,38 @@
+/* gmp_randinit_set -- initialize with a copy of another gmp_randstate_t.
+
+Copyright 2003 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/. */
+
+#include "gmp-impl.h"
+
+
+void
+gmp_randinit_set (gmp_randstate_ptr dst, gmp_randstate_srcptr src)
+{
+ (*((gmp_randfnptr_t *) RNG_FNPTR (src))->randiset_fn) (dst, src);
+}
diff --git a/third_party/gmp/rand/randlc2s.c b/third_party/gmp/rand/randlc2s.c
new file mode 100644
index 0000000..42ed8c4
--- /dev/null
+++ b/third_party/gmp/rand/randlc2s.c
@@ -0,0 +1,92 @@
+/* gmp_randinit_lc_2exp_size -- initialize a random state with a linear
+ congruential generator of a requested size.
+
+Copyright 1999-2001 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/. */
+
+#include <stdio.h> /* for NULL */
+#include "gmp-impl.h"
+
+
+/* Array of LC-schemes, ordered in increasing order of the first
+ member (the 'm2exp' value). The end of the array is indicated with
+ an entry containing all zeros. */
+
+/* All multipliers are in the range 0.01*m and 0.99*m, and are
+congruent to 5 (mod 8).
+They all pass the spectral test with Vt >= 2^(30/t) and merit >= 1.
+(Up to and including 196 bits, merit is >= 3.) */
+
+struct __gmp_rand_lc_scheme_struct
+{
+ unsigned long int m2exp; /* Modulus is 2 ^ m2exp. */
+ const char *astr; /* Multiplier in string form. */
+ unsigned long int c; /* Addend. */
+};
+
+static const struct __gmp_rand_lc_scheme_struct __gmp_rand_lc_scheme[] =
+{
+ {32, "29CF535", 1},
+ {33, "51F666D", 1},
+ {34, "A3D73AD", 1},
+ {35, "147E5B85", 1},
+ {36, "28F725C5", 1},
+ {37, "51EE3105", 1},
+ {38, "A3DD5CDD", 1},
+ {39, "147AF833D", 1},
+ {40, "28F5DA175", 1},
+ {56, "AA7D735234C0DD", 1},
+ {64, "BAECD515DAF0B49D", 1},
+ {100, "292787EBD3329AD7E7575E2FD", 1},
+ {128, "48A74F367FA7B5C8ACBB36901308FA85", 1},
+ {156, "78A7FDDDC43611B527C3F1D760F36E5D7FC7C45", 1},
+ {196, "41BA2E104EE34C66B3520CE706A56498DE6D44721E5E24F5", 1},
+ {200, "4E5A24C38B981EAFE84CD9D0BEC48E83911362C114F30072C5", 1},
+ {256, "AF66BA932AAF58A071FD8F0742A99A0C76982D648509973DB802303128A14CB5", 1},
+ {0, NULL, 0} /* End of array. */
+};
+
+int
+gmp_randinit_lc_2exp_size (gmp_randstate_t rstate, mp_bitcnt_t size)
+{
+ const struct __gmp_rand_lc_scheme_struct *sp;
+ mpz_t a;
+
+ /* Pick a scheme. */
+ for (sp = __gmp_rand_lc_scheme; sp->m2exp != 0; sp++)
+ if (sp->m2exp / 2 >= size)
+ goto found;
+ return 0;
+
+ found:
+ /* Install scheme. */
+ mpz_init_set_str (a, sp->astr, 16);
+ gmp_randinit_lc_2exp (rstate, a, sp->c, sp->m2exp);
+ mpz_clear (a);
+ return 1;
+}
diff --git a/third_party/gmp/rand/randlc2x.c b/third_party/gmp/rand/randlc2x.c
new file mode 100644
index 0000000..4c03eb4
--- /dev/null
+++ b/third_party/gmp/rand/randlc2x.c
@@ -0,0 +1,332 @@
+/* Linear Congruential pseudo-random number generator functions.
+
+Copyright 1999-2003, 2005, 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/. */
+
+#include "gmp-impl.h"
+
+
+/* State structure for LC, the RNG_STATE() pointer in a gmp_randstate_t.
+
+ _mp_seed holds the current seed value, in the range 0 to 2^m2exp-1.
+ SIZ(_mp_seed) is fixed at BITS_TO_LIMBS(_mp_m2exp) and the value is
+ padded with high zero limbs if necessary. ALLOC(_mp_seed) is the current
+ size of PTR(_mp_seed) in the usual way. There only needs to be
+ BITS_TO_LIMBS(_mp_m2exp) allocated, but the mpz functions in the
+ initialization and seeding end up making it a bit more than this.
+
+ _mp_a is the "a" multiplier, in the range 0 to 2^m2exp-1. SIZ(_mp_a) is
+ the size of the value in the normal way for an mpz_t, except that a value
+ of zero is held with SIZ(_mp_a)==1 and PTR(_mp_a)[0]==0. This makes it
+ easy to call mpn_mul, and the case of a==0 is highly un-random and not
+ worth any trouble to optimize.
+
+ {_cp,_cn} is the "c" addend. Normally _cn is 1, but when nails are in
+ use a ulong can be bigger than one limb, and in this case _cn is 2 if
+ necessary. c==0 is stored as _cp[0]==0 and _cn==1, which makes it easy
+ to call __GMPN_ADD. c==0 is fairly un-random so isn't worth optimizing.
+
+ _mp_m2exp gives the modulus, namely 2^m2exp. We demand m2exp>=1, since
+ m2exp==0 would mean no bits at all out of each iteration, which makes no
+ sense. */
+
+typedef struct {
+ mpz_t _mp_seed;
+ mpz_t _mp_a;
+ mp_size_t _cn;
+ mp_limb_t _cp[LIMBS_PER_ULONG];
+ unsigned long _mp_m2exp;
+} gmp_rand_lc_struct;
+
+
+/* lc (rp, state) -- Generate next number in LC sequence. Return the
+ number of valid bits in the result. Discards the lower half of the
+ result. */
+
+static unsigned long int
+lc (mp_ptr rp, gmp_randstate_t rstate)
+{
+ mp_ptr tp, seedp, ap;
+ mp_size_t ta;
+ mp_size_t tn, seedn, an;
+ unsigned long int m2exp;
+ unsigned long int bits;
+ int cy;
+ mp_size_t xn;
+ gmp_rand_lc_struct *p;
+ TMP_DECL;
+
+ p = (gmp_rand_lc_struct *) RNG_STATE (rstate);
+
+ m2exp = p->_mp_m2exp;
+
+ seedp = PTR (p->_mp_seed);
+ seedn = SIZ (p->_mp_seed);
+
+ ap = PTR (p->_mp_a);
+ an = SIZ (p->_mp_a);
+
+ /* Allocate temporary storage. Let there be room for calculation of
+ (A * seed + C) % M, or M if bigger than that. */
+
+ TMP_MARK;
+
+ ta = an + seedn + 1;
+ tn = BITS_TO_LIMBS (m2exp);
+ if (ta <= tn) /* that is, if (ta < tn + 1) */
+ {
+ mp_size_t tmp = an + seedn;
+ ta = tn + 1;
+ tp = TMP_ALLOC_LIMBS (ta);
+ MPN_ZERO (&tp[tmp], ta - tmp); /* mpn_mul won't zero it out. */
+ }
+ else
+ tp = TMP_ALLOC_LIMBS (ta);
+
+ /* t = a * seed. NOTE: an is always > 0; see initialization. */
+ ASSERT (seedn >= an && an > 0);
+ mpn_mul (tp, seedp, seedn, ap, an);
+
+ /* t = t + c. NOTE: tn is always >= p->_cn (precondition for __GMPN_ADD);
+ see initialization. */
+ ASSERT (tn >= p->_cn);
+ __GMPN_ADD (cy, tp, tp, tn, p->_cp, p->_cn);
+
+ /* t = t % m */
+ tp[m2exp / GMP_NUMB_BITS] &= (CNST_LIMB (1) << m2exp % GMP_NUMB_BITS) - 1;
+
+ /* Save result as next seed. */
+ MPN_COPY (PTR (p->_mp_seed), tp, tn);
+
+ /* Discard the lower m2exp/2 of the result. */
+ bits = m2exp / 2;
+ xn = bits / GMP_NUMB_BITS;
+
+ tn -= xn;
+ if (tn > 0)
+ {
+ unsigned int cnt = bits % GMP_NUMB_BITS;
+ if (cnt != 0)
+ {
+ mpn_rshift (tp, tp + xn, tn, cnt);
+ MPN_COPY_INCR (rp, tp, xn + 1);
+ }
+ else /* Even limb boundary. */
+ MPN_COPY_INCR (rp, tp + xn, tn);
+ }
+
+ TMP_FREE;
+
+ /* Return number of valid bits in the result. */
+ return (m2exp + 1) / 2;
+}
+
+
+/* Obtain a sequence of random numbers. */
+static void
+randget_lc (gmp_randstate_t rstate, mp_ptr rp, unsigned long int nbits)
+{
+ unsigned long int rbitpos;
+ int chunk_nbits;
+ mp_ptr tp;
+ mp_size_t tn;
+ gmp_rand_lc_struct *p;
+ TMP_DECL;
+
+ p = (gmp_rand_lc_struct *) RNG_STATE (rstate);
+
+ TMP_MARK;
+
+ chunk_nbits = p->_mp_m2exp / 2;
+ tn = BITS_TO_LIMBS (chunk_nbits);
+
+ tp = TMP_ALLOC_LIMBS (tn);
+
+ rbitpos = 0;
+ while (rbitpos + chunk_nbits <= nbits)
+ {
+ mp_ptr r2p = rp + rbitpos / GMP_NUMB_BITS;
+
+ if (rbitpos % GMP_NUMB_BITS != 0)
+ {
+ mp_limb_t savelimb, rcy;
+ /* Target of new chunk is not bit aligned. Use temp space
+ and align things by shifting it up. */
+ lc (tp, rstate);
+ savelimb = r2p[0];
+ rcy = mpn_lshift (r2p, tp, tn, rbitpos % GMP_NUMB_BITS);
+ r2p[0] |= savelimb;
+ /* bogus */
+ if ((chunk_nbits % GMP_NUMB_BITS + rbitpos % GMP_NUMB_BITS)
+ > GMP_NUMB_BITS)
+ r2p[tn] = rcy;
+ }
+ else
+ {
+ /* Target of new chunk is bit aligned. Let `lc' put bits
+ directly into our target variable. */
+ lc (r2p, rstate);
+ }
+ rbitpos += chunk_nbits;
+ }
+
+ /* Handle last [0..chunk_nbits) bits. */
+ if (rbitpos != nbits)
+ {
+ mp_ptr r2p = rp + rbitpos / GMP_NUMB_BITS;
+ int last_nbits = nbits - rbitpos;
+ tn = BITS_TO_LIMBS (last_nbits);
+ lc (tp, rstate);
+ if (rbitpos % GMP_NUMB_BITS != 0)
+ {
+ mp_limb_t savelimb, rcy;
+ /* Target of new chunk is not bit aligned. Use temp space
+ and align things by shifting it up. */
+ savelimb = r2p[0];
+ rcy = mpn_lshift (r2p, tp, tn, rbitpos % GMP_NUMB_BITS);
+ r2p[0] |= savelimb;
+ if (rbitpos + tn * GMP_NUMB_BITS - rbitpos % GMP_NUMB_BITS < nbits)
+ r2p[tn] = rcy;
+ }
+ else
+ {
+ MPN_COPY (r2p, tp, tn);
+ }
+ /* Mask off top bits if needed. */
+ if (nbits % GMP_NUMB_BITS != 0)
+ rp[nbits / GMP_NUMB_BITS]
+ &= ~(~CNST_LIMB (0) << nbits % GMP_NUMB_BITS);
+ }
+
+ TMP_FREE;
+}
+
+
+static void
+randseed_lc (gmp_randstate_t rstate, mpz_srcptr seed)
+{
+ gmp_rand_lc_struct *p = (gmp_rand_lc_struct *) RNG_STATE (rstate);
+ mpz_ptr seedz = p->_mp_seed;
+ mp_size_t seedn = BITS_TO_LIMBS (p->_mp_m2exp);
+
+ /* Store p->_mp_seed as an unnormalized integer with size enough
+ for numbers up to 2^m2exp-1. That size can't be zero. */
+ mpz_fdiv_r_2exp (seedz, seed, p->_mp_m2exp);
+ MPN_ZERO (&PTR (seedz)[SIZ (seedz)], seedn - SIZ (seedz));
+ SIZ (seedz) = seedn;
+}
+
+
+static void
+randclear_lc (gmp_randstate_t rstate)
+{
+ gmp_rand_lc_struct *p = (gmp_rand_lc_struct *) RNG_STATE (rstate);
+
+ mpz_clear (p->_mp_seed);
+ mpz_clear (p->_mp_a);
+ (*__gmp_free_func) (p, sizeof (gmp_rand_lc_struct));
+}
+
+static void randiset_lc (gmp_randstate_ptr, gmp_randstate_srcptr);
+
+static const gmp_randfnptr_t Linear_Congruential_Generator = {
+ randseed_lc,
+ randget_lc,
+ randclear_lc,
+ randiset_lc
+};
+
+static void
+randiset_lc (gmp_randstate_ptr dst, gmp_randstate_srcptr src)
+{
+ gmp_rand_lc_struct *dstp, *srcp;
+
+ srcp = (gmp_rand_lc_struct *) RNG_STATE (src);
+ dstp = (gmp_rand_lc_struct *) (*__gmp_allocate_func) (sizeof (gmp_rand_lc_struct));
+
+ RNG_STATE (dst) = (mp_limb_t *) (void *) dstp;
+ RNG_FNPTR (dst) = (void *) &Linear_Congruential_Generator;
+
+ /* _mp_seed and _mp_a might be unnormalized (high zero limbs), but
+ mpz_init_set won't worry about that */
+ mpz_init_set (dstp->_mp_seed, srcp->_mp_seed);
+ mpz_init_set (dstp->_mp_a, srcp->_mp_a);
+
+ dstp->_cn = srcp->_cn;
+
+ dstp->_cp[0] = srcp->_cp[0];
+ if (LIMBS_PER_ULONG > 1)
+ dstp->_cp[1] = srcp->_cp[1];
+ if (LIMBS_PER_ULONG > 2) /* usually there's only 1 or 2 */
+ MPN_COPY (dstp->_cp + 2, srcp->_cp + 2, LIMBS_PER_ULONG - 2);
+
+ dstp->_mp_m2exp = srcp->_mp_m2exp;
+}
+
+
+void
+gmp_randinit_lc_2exp (gmp_randstate_t rstate,
+ mpz_srcptr a,
+ unsigned long int c,
+ mp_bitcnt_t m2exp)
+{
+ gmp_rand_lc_struct *p;
+ mp_size_t seedn = BITS_TO_LIMBS (m2exp);
+
+ ASSERT_ALWAYS (m2exp != 0);
+
+ p = __GMP_ALLOCATE_FUNC_TYPE (1, gmp_rand_lc_struct);
+ RNG_STATE (rstate) = (mp_limb_t *) (void *) p;
+ RNG_FNPTR (rstate) = (void *) &Linear_Congruential_Generator;
+
+ /* allocate m2exp bits of space for p->_mp_seed, and initial seed "1" */
+ mpz_init2 (p->_mp_seed, m2exp);
+ MPN_ZERO (PTR (p->_mp_seed), seedn);
+ SIZ (p->_mp_seed) = seedn;
+ PTR (p->_mp_seed)[0] = 1;
+
+ /* "a", forced to 0 to 2^m2exp-1 */
+ mpz_init (p->_mp_a);
+ mpz_fdiv_r_2exp (p->_mp_a, a, m2exp);
+
+ /* Avoid SIZ(a) == 0 to avoid checking for special case in lc(). */
+ if (SIZ (p->_mp_a) == 0)
+ {
+ SIZ (p->_mp_a) = 1;
+ MPZ_NEWALLOC (p->_mp_a, 1)[0] = CNST_LIMB (0);
+ }
+
+ MPN_SET_UI (p->_cp, p->_cn, c);
+
+ /* Internally we may discard any bits of c above m2exp. The following
+ code ensures that __GMPN_ADD in lc() will always work. */
+ if (seedn < p->_cn)
+ p->_cn = (p->_cp[0] != 0);
+
+ p->_mp_m2exp = m2exp;
+}
diff --git a/third_party/gmp/rand/randmt.c b/third_party/gmp/rand/randmt.c
new file mode 100644
index 0000000..a05e76a
--- /dev/null
+++ b/third_party/gmp/rand/randmt.c
@@ -0,0 +1,415 @@
+/* Mersenne Twister pseudo-random number generator functions.
+
+ THE FUNCTIONS IN THIS FILE ARE FOR INTERNAL USE ONLY. THEY'RE ALMOST
+ CERTAIN TO BE SUBJECT TO INCOMPATIBLE CHANGES OR DISAPPEAR COMPLETELY IN
+ FUTURE GNU MP RELEASES.
+
+Copyright 2002, 2003, 2006 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/. */
+
+#include <stdio.h> /* for NULL */
+
+#include "gmp-impl.h"
+#include "randmt.h"
+
+
+/* This code implements the Mersenne Twister pseudorandom number generator
+ by Takuji Nishimura and Makoto Matsumoto. The buffer initialization
+ function is different in order to permit seeds greater than 2^32-1.
+
+ This file contains a special __gmp_randinit_mt_noseed which excludes the
+ seeding function from the gmp_randfnptr_t routines. This is for use by
+ mpn_random and mpn_random2 on the global random generator. MT seeding
+ uses mpz functions, and we don't want mpn routines dragging mpz functions
+ into the link. */
+
+
+/* Default seed to use when the generator is not initialized. */
+#define DEFAULT_SEED 5489 /* was 4357 */
+
+/* Tempering masks. */
+#define MASK_1 0x9D2C5680
+#define MASK_2 0xEFC60000
+
+/* Initial state of buffer when initialized with default seed. */
+static const gmp_uint_least32_t default_state[N] =
+{
+ 0xD247B233,0x9E5AA8F1,0x0FFA981B,0x9DCB0980,0x74200F2B,0xA576D044,
+ 0xE9F05ADF,0x1538BFF5,0x59818BBF,0xCF9E58D8,0x09FCE032,0x6A1C663F,
+ 0x5116E78A,0x69B3E0FA,0x6D92D665,0xD0A8BE98,0xF669B734,0x41AC1B68,
+ 0x630423F1,0x4B8D6B8A,0xC2C46DD7,0x5680747D,0x43703E8F,0x3B6103D2,
+ 0x49E5EB3F,0xCBDAB4C1,0x9C988E23,0x747BEE0B,0x9111E329,0x9F031B5A,
+ 0xECCA71B9,0x2AFE4EF8,0x8421C7ED,0xAC89AFF1,0xAED90DF3,0x2DD74F01,
+ 0x14906A13,0x75873FA9,0xFF83F877,0x5028A0C9,0x11B4C41D,0x7CAEDBC4,
+ 0x8672D0A7,0x48A7C109,0x8320E59F,0xBC0B3D5F,0x75A30886,0xF9E0D128,
+ 0x41AF7580,0x239BB94D,0xC67A3C81,0x74EEBD6E,0xBC02B53C,0x727EA449,
+ 0x6B8A2806,0x5853B0DA,0xBDE032F4,0xCE234885,0x320D6145,0x48CC053F,
+ 0x00DBC4D2,0xD55A2397,0xE1059B6F,0x1C3E05D1,0x09657C64,0xD07CB661,
+ 0x6E982E34,0x6DD1D777,0xEDED1071,0xD79DFD65,0xF816DDCE,0xB6FAF1E4,
+ 0x1C771074,0x311835BD,0x18F952F7,0xF8F40350,0x4ECED354,0x7C8AC12B,
+ 0x31A9994D,0x4FD47747,0xDC227A23,0x6DFAFDDF,0x6796E748,0x0C6F634F,
+ 0xF992FA1D,0x4CF670C9,0x067DFD31,0xA7A3E1A5,0x8CD7D9DF,0x972CCB34,
+ 0x67C82156,0xD548F6A8,0x045CEC21,0xF3240BFB,0xDEF656A7,0x43DE08C5,
+ 0xDAD1F92F,0x3726C56B,0x1409F19A,0x942FD147,0xB926749C,0xADDC31B8,
+ 0x53D0D869,0xD1BA52FE,0x6722DF8C,0x22D95A74,0x7DC1B52A,0x1DEC6FD5,
+ 0x7262874D,0x0A725DC9,0xE6A8193D,0xA052835A,0xDC9AD928,0xE59EBB90,
+ 0x70DBA9FF,0xD612749D,0x5A5A638C,0x6086EC37,0x2A579709,0x1449EA3A,
+ 0xBC8E3C06,0x2F900666,0xFBE74FD1,0x6B35B911,0xF8335008,0xEF1E979D,
+ 0x738AB29D,0xA2DC0FDC,0x7696305D,0xF5429DAC,0x8C41813B,0x8073E02E,
+ 0xBEF83CCD,0x7B50A95A,0x05EE5862,0x00829ECE,0x8CA1958C,0xBE4EA2E2,
+ 0x4293BB73,0x656F7B23,0x417316D8,0x4467D7CF,0x2200E63B,0x109050C8,
+ 0x814CBE47,0x36B1D4A8,0x36AF9305,0x308327B3,0xEBCD7344,0xA738DE27,
+ 0x5A10C399,0x4142371D,0x64A18528,0x0B31E8B2,0x641057B9,0x6AFC363B,
+ 0x108AD953,0x9D4DA234,0x0C2D9159,0x1C8A1A1F,0x310C66BA,0x87AA1070,
+ 0xDAC832FF,0x0A433422,0x7AF15812,0x2D8D9BD0,0x995A25E9,0x25326CAC,
+ 0xA34384DB,0x4C8421CC,0x4F0315EC,0x29E8649E,0xA7732D6F,0x2E94D3E3,
+ 0x7D98A340,0x397C4D74,0x659DB4DE,0x747D4E9A,0xD9DB8435,0x4659DBE9,
+ 0x313E6DC5,0x29D104DC,0x9F226CBA,0x452F18B0,0xD0BC5068,0x844CA299,
+ 0x782B294E,0x4AE2EB7B,0xA4C475F8,0x70A81311,0x4B3E8BCC,0x7E20D4BA,
+ 0xABCA33C9,0x57BE2960,0x44F9B419,0x2E567746,0x72EB757A,0x102CC0E8,
+ 0xB07F32B9,0xD0DABD59,0xBA85AD6B,0xF3E20667,0x98D77D81,0x197AFA47,
+ 0x518EE9AC,0xE10CE5A2,0x01CF2C2A,0xD3A3AF3D,0x16DDFD65,0x669232F8,
+ 0x1C50A301,0xB93D9151,0x9354D3F4,0x847D79D0,0xD5FE2EC6,0x1F7B0610,
+ 0xFA6B90A5,0xC5879041,0x2E7DC05E,0x423F1F32,0xEF623DDB,0x49C13280,
+ 0x98714E92,0xC7B6E4AD,0xC4318466,0x0737F312,0x4D3C003F,0x9ACC1F1F,
+ 0x5F1C926D,0x085FA771,0x185A83A2,0xF9AA159D,0x0B0B0132,0xF98E7A43,
+ 0xCD9EBDBE,0x0190CB29,0x10D93FB6,0x3B8A4D97,0x66A65A41,0xE43E766F,
+ 0x77BE3C41,0xB9686364,0xCB36994D,0x6846A287,0x567E77F7,0x36178DD8,
+ 0xBDE6B1F2,0xB6EFDC64,0x82950324,0x42053F47,0xC09BE51C,0x0942D762,
+ 0x35F92C7F,0x367DEC61,0x6EE3D983,0xDBAAF78A,0x265D2C47,0x8EB4BF5C,
+ 0x33B232D7,0xB0137E77,0x373C39A7,0x8D2B2E76,0xC7510F01,0x50F9E032,
+ 0x7B1FDDDB,0x724C2AAE,0xB10ECB31,0xCCA3D1B8,0x7F0BCF10,0x4254BBBD,
+ 0xE3F93B97,0x2305039B,0x53120E22,0x1A2F3B9A,0x0FDDBD97,0x0118561E,
+ 0x0A798E13,0x9E0B3ACD,0xDB6C9F15,0xF512D0A2,0x9E8C3A28,0xEE2184AE,
+ 0x0051EC2F,0x2432F74F,0xB0AA66EA,0x55128D88,0xF7D83A38,0x4DAE8E82,
+ 0x3FDC98D6,0x5F0BD341,0x7244BE1D,0xC7B48E78,0x2D473053,0x43892E20,
+ 0xBA0F1F2A,0x524D4895,0x2E10BCB1,0x4C372D81,0x5C3E50CD,0xCF61CC2E,
+ 0x931709AB,0x81B3AEFC,0x39E9405E,0x7FFE108C,0x4FBB3FF8,0x06ABE450,
+ 0x7F5BF51E,0xA4E3CDFD,0xDB0F6C6F,0x159A1227,0x3B9FED55,0xD20B6F7F,
+ 0xFBE9CC83,0x64856619,0xBF52B8AF,0x9D7006B0,0x71165BC6,0xAE324AEE,
+ 0x29D27F2C,0x794C2086,0x74445CE2,0x782915CC,0xD4CE6886,0x3289AE7C,
+ 0x53DEF297,0x4185F7ED,0x88B72400,0x3C09DC11,0xBCE3AAB6,0x6A75934A,
+ 0xB267E399,0x000DF1BF,0x193BA5E2,0xFA3E1977,0x179E14F6,0x1EEDE298,
+ 0x691F0B06,0xB84F78AC,0xC1C15316,0xFFFF3AD6,0x0B457383,0x518CD612,
+ 0x05A00F3E,0xD5B7D275,0x4C5ECCD7,0xE02CD0BE,0x5558E9F2,0x0C89BBF0,
+ 0xA3D96227,0x2832D2B2,0xF667B897,0xD4556554,0xF9D2F01F,0xFA1E3FAE,
+ 0x52C2E1EE,0xE5451F31,0x7E849729,0xDABDB67A,0x54BF5E7E,0xF831C271,
+ 0x5F1A17E3,0x9D140AFE,0x92741C47,0x48CFABCE,0x9CBBE477,0x9C3EE57F,
+ 0xB07D4C39,0xCC21BCE2,0x697708B1,0x58DA2A6B,0x2370DB16,0x6E641948,
+ 0xACC5BD52,0x868F24CC,0xCA1DB0F5,0x4CADA492,0x3F443E54,0xC4A4D5E9,
+ 0xF00AD670,0xE93C86E0,0xFE90651A,0xDDE532A3,0xA66458DF,0xAB7D7151,
+ 0x0E2E775F,0xC9109F99,0x8D96D59F,0x73CEF14C,0xC74E88E9,0x02712DC0,
+ 0x04F41735,0x2E5914A2,0x59F4B2FB,0x0287FC83,0x80BC0343,0xF6B32559,
+ 0xC74178D4,0xF1D99123,0x383CCC07,0xACC0637D,0x0863A548,0xA6FCAC85,
+ 0x2A13EFF0,0xAF2EEDB1,0x41E72750,0xE0C6B342,0x5DA22B46,0x635559E0,
+ 0xD2EA40AC,0x10AA98C0,0x19096497,0x112C542B,0x2C85040C,0xA868E7D0,
+ 0x6E260188,0xF596D390,0xC3BB5D7A,0x7A2AA937,0xDFD15032,0x6780AE3B,
+ 0xDB5F9CD8,0x8BD266B0,0x7744AF12,0xB463B1B0,0x589629C9,0xE30DBC6E,
+ 0x880F5569,0x209E6E16,0x9DECA50C,0x02987A57,0xBED3EA57,0xD3A678AA,
+ 0x70DD030D,0x0CFD9C5D,0x92A18E99,0xF5740619,0x7F6F0A7D,0x134CAF9A,
+ 0x70F5BAE4,0x23DCA7B5,0x4D788FCD,0xC7F07847,0xBCF77DA1,0x9071D568,
+ 0xFC627EA1,0xAE004B77,0x66B54BCB,0x7EF2DAAC,0xDCD5AC30,0xB9BDF730,
+ 0x505A97A7,0x9D881FD3,0xADB796CC,0x94A1D202,0x97535D7F,0x31EC20C0,
+ 0xB1887A98,0xC1475069,0xA6F73AF3,0x71E4E067,0x46A569DE,0xD2ADE430,
+ 0x6F0762C7,0xF50876F4,0x53510542,0x03741C3E,0x53502224,0xD8E54D60,
+ 0x3C44AB1A,0x34972B46,0x74BFA89D,0xD7D768E0,0x37E605DC,0xE13D1BDF,
+ 0x5051C421,0xB9E057BE,0xB717A14C,0xA1730C43,0xB99638BE,0xB5D5F36D,
+ 0xE960D9EA,0x6B1388D3,0xECB6D3B6,0xBDBE8B83,0x2E29AFC5,0x764D71EC,
+ 0x4B8F4F43,0xC21DDC00,0xA63F657F,0x82678130,0xDBF535AC,0xA594FC58,
+ 0x942686BC,0xBD9B657B,0x4A0F9B61,0x44FF184F,0x38E10A2F,0x61910626,
+ 0x5E247636,0x7106D137,0xC62802F0,0xBD1D1F00,0x7CC0DCB2,0xED634909,
+ 0xDC13B24E,0x9799C499,0xD77E3D6A,0x14773B68,0x967A4FB7,0x35EECFB1,
+ 0x2A5110B8,0xE2F0AF94,0x9D09DEA5,0x20255D27,0x5771D34B,0xE1089EE4,
+ 0x246F330B,0x8F7CAEE5,0xD3064712,0x75CAFBEE,0xB94F7028,0xED953666,
+ 0x5D1975B4,0x5AF81271,0x13BE2025,0x85194659,0x30805331,0xEC9D46C0,
+ 0xBC027C36,0x2AF84188,0xC2141B80,0xC02B1E4A,0x04D36177,0xFC50E9D7,
+ 0x39CE79DA,0x917E0A00,0xEF7A0BF4,0xA98BD8D1,0x19424DD2,0x9439DF1F,
+ 0xC42AF746,0xADDBE83E,0x85221F0D,0x45563E90,0x9095EC52,0x77887B25,
+ 0x8AE46064,0xBD43B71A,0xBB541956,0x7366CF9D,0xEE8E1737,0xB5A727C9,
+ 0x5076B3E7,0xFC70BACA,0xCE135B75,0xC4E91AA3,0xF0341911,0x53430C3F,
+ 0x886B0824,0x6BB5B8B7,0x33E21254,0xF193B456,0x5B09617F,0x215FFF50,
+ 0x48D97EF1,0x356479AB,0x6EA9DDC4,0x0D352746,0xA2F5CE43,0xB226A1B3,
+ 0x1329EA3C,0x7A337CC2,0xB5CCE13D,0x563E3B5B,0x534E8E8F,0x561399C9,
+ 0xE1596392,0xB0F03125,0x4586645B,0x1F371847,0x94EAABD1,0x41F97EDD,
+ 0xE3E5A39B,0x71C774E2,0x507296F4,0x5960133B,0x7852C494,0x3F5B2691,
+ 0xA3F87774,0x5A7AF89E,0x17DA3F28,0xE9D9516D,0xFCC1C1D5,0xE4618628,
+ 0x04081047,0xD8E4DB5F,0xDC380416,0x8C4933E2,0x95074D53,0xB1B0032D,
+ 0xCC8102EA,0x71641243,0x98D6EB6A,0x90FEC945,0xA0914345,0x6FAB037D,
+ 0x70F49C4D,0x05BF5B0E,0x927AAF7F,0xA1940F61,0xFEE0756F,0xF815369F,
+ 0x5C00253B,0xF2B9762F,0x4AEB3CCC,0x1069F386,0xFBA4E7B9,0x70332665,
+ 0x6BCA810E,0x85AB8058,0xAE4B2B2F,0x9D120712,0xBEE8EACB,0x776A1112
+};
+
+void
+__gmp_mt_recalc_buffer (gmp_uint_least32_t mt[])
+{
+ gmp_uint_least32_t y;
+ int kk;
+
+ for (kk = 0; kk < N - M; kk++)
+ {
+ y = (mt[kk] & 0x80000000) | (mt[kk + 1] & 0x7FFFFFFF);
+ mt[kk] = mt[kk + M] ^ (y >> 1) ^ ((y & 0x01) != 0 ? MATRIX_A : 0);
+ }
+ for (; kk < N - 1; kk++)
+ {
+ y = (mt[kk] & 0x80000000) | (mt[kk + 1] & 0x7FFFFFFF);
+ mt[kk] = mt[kk - (N - M)] ^ (y >> 1) ^ ((y & 0x01) != 0 ? MATRIX_A : 0);
+ }
+
+ y = (mt[N - 1] & 0x80000000) | (mt[0] & 0x7FFFFFFF);
+ mt[N - 1] = mt[M - 1] ^ (y >> 1) ^ ((y & 0x01) != 0 ? MATRIX_A : 0);
+}
+
+
+/* Get nbits bits of output from the generator into dest.
+ Note that Mersenne Twister is designed to produce outputs in
+ 32-bit words. */
+void
+__gmp_randget_mt (gmp_randstate_t rstate, mp_ptr dest, unsigned long int nbits)
+{
+ gmp_uint_least32_t y;
+ int rbits;
+ mp_size_t i;
+ mp_size_t nlimbs;
+ int *pmti;
+ gmp_uint_least32_t *mt;
+
+ pmti = &((gmp_rand_mt_struct *) RNG_STATE (rstate))->mti;
+ mt = ((gmp_rand_mt_struct *) RNG_STATE (rstate))->mt;
+
+ nlimbs = nbits / GMP_NUMB_BITS;
+ rbits = nbits % GMP_NUMB_BITS;
+
+#define NEXT_RANDOM \
+ do \
+ { \
+ if (*pmti >= N) \
+ { \
+ __gmp_mt_recalc_buffer (mt); \
+ *pmti = 0; \
+ } \
+ y = mt[(*pmti)++]; \
+ y ^= (y >> 11); \
+ y ^= (y << 7) & MASK_1; \
+ y ^= (y << 15) & MASK_2; \
+ y ^= (y >> 18); \
+ } \
+ while (0)
+
+
+ /* Handle the common cases of 32- or 64-bit limbs with fast,
+ optimized routines, and the rest of cases with a general
+ routine. In all cases, no more than 31 bits are rejected
+ for the last limb so that every version of the code is
+ consistent with the others. */
+
+#if (GMP_NUMB_BITS == 32)
+
+ for (i = 0; i < nlimbs; i++)
+ {
+ NEXT_RANDOM;
+ dest[i] = (mp_limb_t) y;
+ }
+ if (rbits)
+ {
+ NEXT_RANDOM;
+ dest[nlimbs] = (mp_limb_t) (y & ~(ULONG_MAX << rbits));
+ }
+
+#else /* GMP_NUMB_BITS != 32 */
+#if (GMP_NUMB_BITS == 64)
+
+ for (i = 0; i < nlimbs; i++)
+ {
+ NEXT_RANDOM;
+ dest[i] = (mp_limb_t) y;
+ NEXT_RANDOM;
+ dest[i] |= (mp_limb_t) y << 32;
+ }
+ if (rbits)
+ {
+ if (rbits < 32)
+ {
+ NEXT_RANDOM;
+ dest[nlimbs] = (mp_limb_t) (y & ~(ULONG_MAX << rbits));
+ }
+ else
+ {
+ NEXT_RANDOM;
+ dest[nlimbs] = (mp_limb_t) y;
+ if (rbits > 32)
+ {
+ NEXT_RANDOM;
+ dest[nlimbs] |=
+ ((mp_limb_t) (y & ~(ULONG_MAX << (rbits-32)))) << 32;
+ }
+ }
+ }
+
+#else /* GMP_NUMB_BITS != 64 */
+
+ {
+ /* Fall back to a general algorithm. This algorithm works by
+ keeping a pool of up to 64 bits (2 outputs from MT) acting
+ as a shift register from which bits are consumed as needed.
+ Bits are consumed using the LSB bits of bitpool_l, and
+ inserted via bitpool_h and shifted to the right place. */
+
+ gmp_uint_least32_t bitpool_h = 0;
+ gmp_uint_least32_t bitpool_l = 0;
+ int bits_in_pool = 0; /* Holds number of valid bits in the pool. */
+ int bits_to_fill; /* Holds total number of bits to put in
+ destination. */
+ int bitidx; /* Holds the destination bit position. */
+ mp_size_t nlimbs2; /* Number of whole+partial limbs to fill. */
+
+ nlimbs2 = nlimbs + (rbits != 0);
+
+ for (i = 0; i < nlimbs2; i++)
+ {
+ bitidx = 0;
+ if (i < nlimbs)
+ bits_to_fill = GMP_NUMB_BITS;
+ else
+ bits_to_fill = rbits;
+
+ dest[i] = CNST_LIMB (0);
+ while (bits_to_fill >= 32) /* Process whole 32-bit blocks first. */
+ {
+ if (bits_in_pool < 32) /* Need more bits. */
+ {
+ /* 64-bit right shift. */
+ NEXT_RANDOM;
+ bitpool_h = y;
+ bitpool_l |= (bitpool_h << bits_in_pool) & 0xFFFFFFFF;
+ if (bits_in_pool == 0)
+ bitpool_h = 0;
+ else
+ bitpool_h >>= 32 - bits_in_pool;
+ bits_in_pool += 32; /* We've got 32 more bits. */
+ }
+
+ /* Fill a 32-bit chunk. */
+ dest[i] |= ((mp_limb_t) bitpool_l) << bitidx;
+ bitpool_l = bitpool_h;
+ bits_in_pool -= 32;
+ bits_to_fill -= 32;
+ bitidx += 32;
+ }
+
+ /* Cover the case where GMP_NUMB_BITS is not a multiple of 32. */
+ if (bits_to_fill != 0)
+ {
+ if (bits_in_pool < bits_to_fill)
+ {
+ NEXT_RANDOM;
+ bitpool_h = y;
+ bitpool_l |= (bitpool_h << bits_in_pool) & 0xFFFFFFFF;
+ if (bits_in_pool == 0)
+ bitpool_h = 0;
+ else
+ bitpool_h >>= 32 - bits_in_pool;
+ bits_in_pool += 32;
+ }
+
+ dest[i] |= (((mp_limb_t) bitpool_l
+ & ~(~CNST_LIMB (0) << bits_to_fill))
+ << bitidx);
+ bitpool_l = ((bitpool_l >> bits_to_fill)
+ | (bitpool_h << (32 - bits_to_fill))) & 0xFFFFFFFF;
+ bitpool_h >>= bits_to_fill;
+ bits_in_pool -= bits_to_fill;
+ }
+ }
+ }
+
+#endif /* GMP_NUMB_BITS != 64 */
+#endif /* GMP_NUMB_BITS != 32 */
+}
+
+void
+__gmp_randclear_mt (gmp_randstate_t rstate)
+{
+ (*__gmp_free_func) ((void *) RNG_STATE (rstate),
+ ALLOC (rstate->_mp_seed) * GMP_LIMB_BYTES);
+}
+
+void __gmp_randiset_mt (gmp_randstate_ptr, gmp_randstate_srcptr);
+
+static const gmp_randfnptr_t Mersenne_Twister_Generator_Noseed = {
+ NULL,
+ __gmp_randget_mt,
+ __gmp_randclear_mt,
+ __gmp_randiset_mt
+};
+
+void
+__gmp_randiset_mt (gmp_randstate_ptr dst, gmp_randstate_srcptr src)
+{
+ const mp_size_t sz = ((sizeof (gmp_rand_mt_struct) - 1) / GMP_LIMB_BYTES) + 1;
+ gmp_rand_mt_struct *dstp, *srcp;
+ mp_size_t i;
+
+ /* Set the generator functions. */
+ RNG_FNPTR (dst) = RNG_FNPTR(src);
+
+ /* Allocate the MT-specific state. */
+ dstp = (gmp_rand_mt_struct *) __GMP_ALLOCATE_FUNC_LIMBS (sz);
+ RNG_STATE (dst) = (mp_ptr) dstp;
+ ALLOC (dst->_mp_seed) = sz; /* Initialize alloc field to placate Camm. */
+
+ /* Copy state. */
+ srcp = (gmp_rand_mt_struct *) RNG_STATE (src);
+ for (i = 0; i < N; i++)
+ dstp->mt[i] = srcp->mt[i];
+
+ dstp->mti = srcp->mti;
+}
+
+void
+__gmp_randinit_mt_noseed (gmp_randstate_ptr dst)
+{
+ const mp_size_t sz = ((sizeof (gmp_rand_mt_struct) - 1) / GMP_LIMB_BYTES) + 1;
+ gmp_rand_mt_struct *dstp;
+ mp_size_t i;
+
+ /* Set the generator functions. */
+ RNG_FNPTR (dst) = (void *) &Mersenne_Twister_Generator_Noseed;
+
+ /* Allocate the MT-specific state. */
+ dstp = (gmp_rand_mt_struct *) __GMP_ALLOCATE_FUNC_LIMBS (sz);
+ RNG_STATE (dst) = (mp_ptr) dstp;
+ ALLOC (dst->_mp_seed) = sz; /* Initialize alloc field to placate Camm. */
+
+ /* Set state for default seed. */
+ for (i = 0; i < N; i++)
+ dstp->mt[i] = default_state[i];
+
+ dstp->mti = WARM_UP % N;
+}
diff --git a/third_party/gmp/rand/randmt.h b/third_party/gmp/rand/randmt.h
new file mode 100644
index 0000000..d64ff59
--- /dev/null
+++ b/third_party/gmp/rand/randmt.h
@@ -0,0 +1,51 @@
+/* Mersenne Twister pseudo-random number generator defines.
+
+Copyright 2002, 2003 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/. */
+
+
+/* Number of extractions used to warm the buffer up. */
+#define WARM_UP 2000
+
+/* Period parameters. */
+#define N 624
+#define M 397
+#define MATRIX_A 0x9908B0DF /* Constant vector a. */
+
+/* State structure for MT. */
+typedef struct
+{
+ gmp_uint_least32_t mt[N]; /* State array. */
+ int mti; /* Index of current value. */
+} gmp_rand_mt_struct;
+
+
+void __gmp_mt_recalc_buffer (gmp_uint_least32_t *);
+void __gmp_randget_mt (gmp_randstate_t, mp_ptr, unsigned long int);
+void __gmp_randclear_mt (gmp_randstate_t);
+void __gmp_randiset_mt (gmp_randstate_ptr, gmp_randstate_srcptr);
diff --git a/third_party/gmp/rand/randmts.c b/third_party/gmp/rand/randmts.c
new file mode 100644
index 0000000..2c3fc09
--- /dev/null
+++ b/third_party/gmp/rand/randmts.c
@@ -0,0 +1,164 @@
+/* Mersenne Twister pseudo-random number generator functions.
+
+Copyright 2002, 2003, 2013, 2014 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/. */
+
+#include "gmp-impl.h"
+#include "randmt.h"
+
+
+/* Calculate (b^e) mod (2^n-k) for e=1074888996, n=19937 and k=20023,
+ needed by the seeding function below. */
+static void
+mangle_seed (mpz_ptr r)
+{
+ mpz_t t, b;
+ unsigned long e = 0x40118124;
+ unsigned long bit = 0x20000000;
+
+ mpz_init2 (t, 19937L);
+ mpz_init_set (b, r);
+
+ do
+ {
+ mpz_mul (r, r, r);
+
+ reduce:
+ for (;;)
+ {
+ mpz_tdiv_q_2exp (t, r, 19937L);
+ if (SIZ (t) == 0)
+ break;
+ mpz_tdiv_r_2exp (r, r, 19937L);
+ mpz_addmul_ui (r, t, 20023L);
+ }
+
+ if ((e & bit) != 0)
+ {
+ e ^= bit;
+ mpz_mul (r, r, b);
+ goto reduce;
+ }
+
+ bit >>= 1;
+ }
+ while (bit != 0);
+
+ mpz_clear (t);
+ mpz_clear (b);
+}
+
+
+/* Seeding function. Uses powering modulo a non-Mersenne prime to obtain
+ a permutation of the input seed space. The modulus is 2^19937-20023,
+ which is probably prime. The power is 1074888996. In order to avoid
+ seeds 0 and 1 generating invalid or strange output, the input seed is
+ first manipulated as follows:
+
+ seed1 = seed mod (2^19937-20027) + 2
+
+ so that seed1 lies between 2 and 2^19937-20026 inclusive. Then the
+ powering is performed as follows:
+
+ seed2 = (seed1^1074888996) mod (2^19937-20023)
+
+ and then seed2 is used to bootstrap the buffer.
+
+ This method aims to give guarantees that:
+ a) seed2 will never be zero,
+ b) seed2 will very seldom have a very low population of ones in its
+ binary representation, and
+ c) every seed between 0 and 2^19937-20028 (inclusive) will yield a
+ different sequence.
+
+ CAVEATS:
+
+ The period of the seeding function is 2^19937-20027. This means that
+ with seeds 2^19937-20027, 2^19937-20026, ... the exact same sequences
+ are obtained as with seeds 0, 1, etc.; it also means that seed -1
+ produces the same sequence as seed 2^19937-20028, etc.
+ */
+
+static void
+randseed_mt (gmp_randstate_t rstate, mpz_srcptr seed)
+{
+ int i;
+ size_t cnt;
+
+ gmp_rand_mt_struct *p;
+ mpz_t mod; /* Modulus. */
+ mpz_t seed1; /* Intermediate result. */
+
+ p = (gmp_rand_mt_struct *) RNG_STATE (rstate);
+
+ mpz_init2 (mod, 19938L);
+ mpz_init2 (seed1, 19937L);
+
+ mpz_setbit (mod, 19937L);
+ mpz_sub_ui (mod, mod, 20027L);
+ mpz_mod (seed1, seed, mod); /* Reduce `seed' modulo `mod'. */
+ mpz_clear (mod);
+ mpz_add_ui (seed1, seed1, 2L); /* seed1 is now ready. */
+ mangle_seed (seed1); /* Perform the mangling by powering. */
+
+ /* Copy the last bit into bit 31 of mt[0] and clear it. */
+ p->mt[0] = (mpz_tstbit (seed1, 19936L) != 0) ? 0x80000000 : 0;
+ mpz_clrbit (seed1, 19936L);
+
+ /* Split seed1 into N-1 32-bit chunks. */
+ mpz_export (&p->mt[1], &cnt, -1, sizeof (p->mt[1]), 0,
+ 8 * sizeof (p->mt[1]) - 32, seed1);
+ mpz_clear (seed1);
+ cnt++;
+ ASSERT (cnt <= N);
+ while (cnt < N)
+ p->mt[cnt++] = 0;
+
+ /* Warm the generator up if necessary. */
+ if (WARM_UP != 0)
+ for (i = 0; i < WARM_UP / N; i++)
+ __gmp_mt_recalc_buffer (p->mt);
+
+ p->mti = WARM_UP % N;
+}
+
+
+static const gmp_randfnptr_t Mersenne_Twister_Generator = {
+ randseed_mt,
+ __gmp_randget_mt,
+ __gmp_randclear_mt,
+ __gmp_randiset_mt
+};
+
+/* Initialize MT-specific data. */
+void
+gmp_randinit_mt (gmp_randstate_t rstate)
+{
+ __gmp_randinit_mt_noseed (rstate);
+ RNG_FNPTR (rstate) = (void *) &Mersenne_Twister_Generator;
+}
diff --git a/third_party/gmp/rand/randmui.c b/third_party/gmp/rand/randmui.c
new file mode 100644
index 0000000..d3292db
--- /dev/null
+++ b/third_party/gmp/rand/randmui.c
@@ -0,0 +1,85 @@
+/* gmp_urandomm_ui -- uniform random number 0 to N-1 for ulong N.
+
+Copyright 2003, 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 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/. */
+
+#include "gmp-impl.h"
+#include "longlong.h"
+
+
+/* If n is a power of 2 then the test ret<n is always true and the loop is
+ unnecessary, but there's no need to add special code for this. Just get
+ the "bits" calculation correct and let it go through normally.
+
+ If n is 1 then will have bits==0 and _gmp_rand will produce no output and
+ we always return 0. Again there seems no need for a special case, just
+ initialize a[0]=0 and let it go through normally. */
+
+#define MAX_URANDOMM_ITER 80
+
+unsigned long
+gmp_urandomm_ui (gmp_randstate_ptr rstate, unsigned long n)
+{
+ mp_limb_t a[LIMBS_PER_ULONG];
+ unsigned long ret, bits, leading;
+ int i;
+
+ if (UNLIKELY (n == 0))
+ DIVIDE_BY_ZERO;
+
+ /* start with zeros, since if bits==0 then _gmp_rand will store nothing at
+ all (bits==0 arises when n==1), or if bits <= GMP_NUMB_BITS then it
+ will store only a[0]. */
+ a[0] = 0;
+#if LIMBS_PER_ULONG > 1
+ a[1] = 0;
+#endif
+
+ count_leading_zeros (leading, (mp_limb_t) n);
+ bits = GMP_LIMB_BITS - leading - (POW2_P(n) != 0);
+
+ for (i = 0; i < MAX_URANDOMM_ITER; i++)
+ {
+ _gmp_rand (a, rstate, bits);
+#if LIMBS_PER_ULONG == 1
+ ret = a[0];
+#else
+ ret = a[0] | (a[1] << GMP_NUMB_BITS);
+#endif
+ if (LIKELY (ret < n)) /* usually one iteration suffices */
+ goto done;
+ }
+
+ /* Too many iterations, there must be something degenerate about the
+ rstate algorithm. Return r%n. */
+ ret -= n;
+ ASSERT (ret < n);
+
+ done:
+ return ret;
+}
diff --git a/third_party/gmp/rand/rands.c b/third_party/gmp/rand/rands.c
new file mode 100644
index 0000000..af436a4
--- /dev/null
+++ b/third_party/gmp/rand/rands.c
@@ -0,0 +1,41 @@
+/* __gmp_rands -- global random state for old-style random functions.
+
+ EVERYTHING IN THIS FILE IS FOR INTERNAL USE ONLY. IT'S ALMOST CERTAIN TO
+ BE SUBJECT TO INCOMPATIBLE CHANGES OR DISAPPEAR COMPLETELY IN FUTURE GNU
+ MP RELEASES. */
+
+/*
+Copyright 2001 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/. */
+
+#include "gmp-impl.h"
+
+
+/* Use this via the RANDS macro in gmp-impl.h */
+char __gmp_rands_initialized = 0;
+gmp_randstate_t __gmp_rands;
diff --git a/third_party/gmp/rand/randsd.c b/third_party/gmp/rand/randsd.c
new file mode 100644
index 0000000..b0e3dd6
--- /dev/null
+++ b/third_party/gmp/rand/randsd.c
@@ -0,0 +1,38 @@
+/* gmp_randseed (state, seed) -- Set initial seed SEED in random state STATE.
+
+Copyright 2000, 2002 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/. */
+
+#include "gmp-impl.h"
+
+void
+gmp_randseed (gmp_randstate_t rstate,
+ mpz_srcptr seed)
+{
+ (*((gmp_randfnptr_t *) RNG_FNPTR (rstate))->randseed_fn) (rstate, seed);
+}
diff --git a/third_party/gmp/rand/randsdui.c b/third_party/gmp/rand/randsdui.c
new file mode 100644
index 0000000..46d80ad
--- /dev/null
+++ b/third_party/gmp/rand/randsdui.c
@@ -0,0 +1,43 @@
+/* gmp_randseed_ui (state, seed) -- Set initial seed SEED in random
+ state STATE.
+
+Copyright 2000, 2002 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/. */
+
+#include "gmp-impl.h"
+
+void
+gmp_randseed_ui (gmp_randstate_t rstate,
+ unsigned long int seed)
+{
+ mpz_t zseed;
+ mp_limb_t zlimbs[LIMBS_PER_ULONG];
+
+ MPZ_FAKE_UI (zseed, zlimbs, seed);
+ gmp_randseed (rstate, zseed);
+}