Basic constant folding implementation

23 files changed, 3365 insertions, 0 deletions

diff --git a/vendor/gmp-6.3.0/printf/Makefile.am b/vendor/gmp-6.3.0/printf/Makefile.am
new file mode 100644
index 0000000..bcbf55d
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/Makefile.am
@@ -0,0 +1,41 @@
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+#
+#  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
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+#    * 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.
+#
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+  vasprintf.c vfprintf.c vprintf.c vsnprintf.c vsprintf.c		 \
+  repl-vsnprintf.c
diff --git a/vendor/gmp-6.3.0/printf/Makefile.in b/vendor/gmp-6.3.0/printf/Makefile.in
new file mode 100644
index 0000000..6be1da7
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/Makefile.in
@@ -0,0 +1,649 @@
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+	  dist_files=`for file in $$list; do echo $$file; done | \
+	  sed -e "s|^$$srcdirstrip/||;t" \
+	      -e "s|^$$topsrcdirstrip/|$(top_builddir)/|;t"`; \
+	case $$dist_files in \
+	  */*) $(MKDIR_P) `echo "$$dist_files" | \
+			   sed '/\//!d;s|^|$(distdir)/|;s,/[^/]*$$,,' | \
+			   sort -u` ;; \
+	esac; \
+	for file in $$dist_files; do \
+	  if test -f $$file || test -d $$file; then d=.; else d=$(srcdir); fi; \
+	  if test -d $$d/$$file; then \
+	    dir=`echo "/$$file" | sed -e 's,/[^/]*$$,,'`; \
+	    if test -d "$(distdir)/$$file"; then \
+	      find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \
+	    fi; \
+	    if test -d $(srcdir)/$$file && test $$d != $(srcdir); then \
+	      cp -fpR $(srcdir)/$$file "$(distdir)$$dir" || exit 1; \
+	      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/vendor/gmp-6.3.0/printf/asprintf.c b/vendor/gmp-6.3.0/printf/asprintf.c
new file mode 100644
index 0000000..da87b75
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/asprintf.c
@@ -0,0 +1,47 @@
+/* gmp_asprintf -- formatted output to an allocated space.
+
+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 <stdarg.h>
+
+#include "gmp-impl.h"
+
+
+int
+gmp_asprintf (char **result, const char *fmt, ...)
+{
+  va_list  ap;
+  int      ret;
+
+  va_start (ap, fmt);
+
+  ret = gmp_vasprintf (result, fmt, ap);
+  va_end (ap);
+  return ret;
+}
diff --git a/vendor/gmp-6.3.0/printf/asprntffuns.c b/vendor/gmp-6.3.0/printf/asprntffuns.c
new file mode 100644
index 0000000..022a80c
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/asprntffuns.c
@@ -0,0 +1,71 @@
+/* __gmp_asprintf_memory etc -- formatted output to allocated space.
+
+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/.  */
+
+
+/* These routines are in a separate file so that the mpz_t, mpq_t and mpf_t
+   operator<< routines can avoid dragging vsnprintf into the link (via
+   __gmp_asprintf_format).  */
+
+#include <stdarg.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "gmp-impl.h"
+
+
+int
+__gmp_asprintf_memory (struct gmp_asprintf_t *d, const char *str, size_t len)
+{
+  GMP_ASPRINTF_T_NEED (d, len);
+  memcpy (d->buf + d->size, str, len);
+  d->size += len;
+  return len;
+}
+
+int
+__gmp_asprintf_reps (struct gmp_asprintf_t *d, int c, int reps)
+{
+  GMP_ASPRINTF_T_NEED (d, reps);
+  memset (d->buf + d->size, c, reps);
+  d->size += reps;
+  return reps;
+}
+
+int
+__gmp_asprintf_final (struct gmp_asprintf_t *d)
+{
+  char  *buf = d->buf;
+  ASSERT (d->alloc >= d->size + 1);
+  buf[d->size] = '\0';
+  __GMP_REALLOCATE_FUNC_MAYBE_TYPE (buf, d->alloc, d->size+1, char);
+  *d->result = buf;
+  return 0;
+}
diff --git a/vendor/gmp-6.3.0/printf/doprnt.c b/vendor/gmp-6.3.0/printf/doprnt.c
new file mode 100644
index 0000000..3b86613
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/doprnt.c
@@ -0,0 +1,625 @@
+/* __gmp_doprnt -- printf style formatted output.
+
+   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 2001-2003 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/.  */
+
+#define _GNU_SOURCE    /* for DECIMAL_POINT in glibc langinfo.h */
+
+#include "config.h"	/* needed for the HAVE_, could also move gmp incls */
+
+#include <stdarg.h>
+#include <ctype.h>     /* for isdigit */
+#include <stddef.h>    /* for ptrdiff_t */
+#include <string.h>
+#include <stdio.h>     /* for NULL */
+#include <stdlib.h>
+
+#if HAVE_INTTYPES_H
+# include <inttypes.h> /* for intmax_t */
+#endif
+#if HAVE_STDINT_H
+# include <stdint.h>
+#endif
+
+#if HAVE_LANGINFO_H
+#include <langinfo.h>  /* for nl_langinfo */
+#endif
+
+#if HAVE_LOCALE_H
+#include <locale.h>    /* for localeconv */
+#endif
+
+#if HAVE_SYS_TYPES_H
+#include <sys/types.h> /* for quad_t */
+#endif
+
+#include "gmp-impl.h"
+
+
+/* change this to "#define TRACE(x) x" for diagnostics */
+#define TRACE(x)
+
+
+/* Should be portable, but in any case this is only used under some ASSERTs. */
+#define va_equal(x, y)                           \
+  (memcmp (&(x), &(y), sizeof(va_list)) == 0)
+
+
+/* printf is convenient because it allows various types to be printed in one
+   fairly compact call, so having gmp_printf support the standard types as
+   well as the gmp ones is important.  This ends up meaning all the standard
+   parsing must be duplicated, to get a new routine recognising the gmp
+   extras.
+
+   With the currently favoured handling of mpz etc as Z, Q and F type
+   markers, it's not possible to use glibc register_printf_function since
+   that only accepts new conversion characters, not new types.  If Z was a
+   conversion there'd be no way to specify hex, decimal or octal, or
+   similarly with F no way to specify fixed point or scientific format.
+
+   It seems wisest to pass conversions %f, %e and %g of float, double and
+   long double over to the standard printf.  It'd be hard to be sure of
+   getting the right handling for NaNs, rounding, etc.  Integer conversions
+   %d etc and string conversions %s on the other hand could be easily enough
+   handled within gmp_doprnt, but if floats are going to libc then it's just
+   as easy to send all non-gmp types there.
+
+   "Z" was a type marker for size_t in old glibc, but there seems no need to
+   provide access to that now "z" is standard.
+
+   In GMP 4.1.1 we documented "ll" and "L" as being equivalent, but in C99
+   in fact "ll" is just for long long and "L" just for long double.
+   Apparently GLIBC allows "L" for long long though.  This doesn't affect
+   us as such, since both are passed through to the C library.  To be
+   consistent with what we said before, the two are treated equivalently
+   here, and it's left to the C library to do what it thinks with them.
+
+   Possibilities:
+
+   "b" might be nice for binary output, and could even be supported for the
+   standard C types too if desired.
+
+   POSIX style "%n$" parameter numbering would be possible, but would need
+   to be handled completely within gmp_doprnt, since the numbering will be
+   all different once the format string it cut into pieces.
+
+   Some options for mpq formatting would be good.  Perhaps a non-zero
+   precision field could give a width for the denominator and mean always
+   put a "/".  A form "n+p/q" might interesting too, though perhaps that's
+   better left to applications.
+
+   Right now there's no way for an application to know whether types like
+   intmax_t are supported here.  If configure is doing its job and the same
+   compiler is used for gmp as for the application then there shouldn't be
+   any problem, but perhaps gmp.h should have some preprocessor symbols to
+   say what libgmp can do.  */
+
+
+
+/* If a gmp format is the very first thing or there are two gmp formats with
+   nothing in between then we'll reach here with this_fmt == last_fmt and we
+   can do nothing in that case.
+
+   last_ap is always replaced after a FLUSH, so it doesn't matter if va_list
+   is a call-by-reference and the funs->format routine modifies it.  */
+
+#define FLUSH()                                         \
+  do {                                                  \
+    if (this_fmt == last_fmt)                           \
+      {                                                 \
+	TRACE (printf ("nothing to flush\n"));          \
+	ASSERT (va_equal (this_ap, last_ap));           \
+      }                                                 \
+    else                                                \
+      {                                                 \
+	ASSERT (*this_fmt == '%');                      \
+	*this_fmt = '\0';                               \
+	TRACE (printf ("flush \"%s\"\n", last_fmt));    \
+	DOPRNT_FORMAT (last_fmt, last_ap);              \
+      }                                                 \
+  } while (0)
+
+
+/* Parse up the given format string and do the appropriate output using the
+   given "funs" routines.  The data parameter is passed through to those
+   routines.  */
+
+int
+__gmp_doprnt (const struct doprnt_funs_t *funs, void *data,
+	      const char *orig_fmt, va_list orig_ap)
+{
+  va_list  ap, this_ap, last_ap;
+  size_t   alloc_fmt_size, orig_fmt_size;
+  char     *fmt, *alloc_fmt, *last_fmt, *this_fmt, *gmp_str;
+  int      retval = 0;
+  int      type, fchar, *value, seen_precision;
+  struct doprnt_params_t param;
+
+  TRACE (printf ("gmp_doprnt \"%s\"\n", orig_fmt));
+
+  /* Don't modify orig_ap, if va_list is actually an array and hence call by
+     reference.  It could be argued that it'd be more efficient to leave the
+     caller to make a copy if it cared, but doing so here is going to be a
+     very small part of the total work, and we may as well keep applications
+     out of trouble.  */
+  va_copy (ap, orig_ap);
+
+  /* The format string is chopped up into pieces to be passed to
+     funs->format.  Unfortunately that means it has to be copied so each
+     piece can be null-terminated.  We're not going to be very fast here, so
+     use __gmp_allocate_func rather than TMP_ALLOC, to avoid overflowing the
+     stack if a long output string is given.  */
+  alloc_fmt_size = orig_fmt_size = strlen (orig_fmt) + 1;
+#if _LONG_LONG_LIMB
+  /* for a long long limb we change %Mx to %llx, so could need an extra 1
+     char for every 3 existing */
+  alloc_fmt_size += alloc_fmt_size / 3;
+#endif
+  alloc_fmt = __GMP_ALLOCATE_FUNC_TYPE (alloc_fmt_size, char);
+  fmt = alloc_fmt;
+  memcpy (fmt, orig_fmt, orig_fmt_size);
+
+  /* last_fmt and last_ap are just after the last output, and hence where
+     the next output will begin, when that's done */
+  last_fmt = fmt;
+  va_copy (last_ap, ap);
+
+  for (;;)
+    {
+      TRACE (printf ("next: \"%s\"\n", fmt));
+
+      fmt = strchr (fmt, '%');
+      if (fmt == NULL)
+	break;
+
+      /* this_fmt and this_ap are the current '%' sequence being considered */
+      this_fmt = fmt;
+      va_copy (this_ap, ap);
+      fmt++; /* skip the '%' */
+
+      TRACE (printf ("considering\n");
+	     printf ("  last: \"%s\"\n", last_fmt);
+	     printf ("  this: \"%s\"\n", this_fmt));
+
+      type = '\0';
+      value = &param.width;
+
+      param.base = 10;
+      param.conv = 0;
+      param.expfmt = "e%c%02ld";
+      param.exptimes4 = 0;
+      param.fill = ' ';
+      param.justify = DOPRNT_JUSTIFY_RIGHT;
+      param.prec = 6;
+      param.showbase = DOPRNT_SHOWBASE_NO;
+      param.showpoint = 0;
+      param.showtrailing = 1;
+      param.sign = '\0';
+      param.width = 0;
+      seen_precision = 0;
+
+      /* This loop parses a single % sequence.  "break" from the switch
+	 means continue with this %, "goto next" means the conversion
+	 character has been seen and a new % should be sought.  */
+      for (;;)
+	{
+	  fchar = *fmt++;
+	  if (fchar == '\0')
+	    break;
+
+	  switch (fchar) {
+
+	  case 'a':
+	    /* %a behaves like %e, but defaults to all significant digits,
+	       and there's no leading zeros on the exponent (which is in
+	       fact bit-based) */
+	    param.base = 16;
+	    param.expfmt = "p%c%ld";
+	    goto conv_a;
+	  case 'A':
+	    param.base = -16;
+	    param.expfmt = "P%c%ld";
+	  conv_a:
+	    param.conv = DOPRNT_CONV_SCIENTIFIC;
+	    param.exptimes4 = 1;
+	    if (! seen_precision)
+	      param.prec = -1;  /* default to all digits */
+	    param.showbase = DOPRNT_SHOWBASE_YES;
+	    param.showtrailing = 1;
+	    goto floating_a;
+
+	  case 'c':
+	    /* Let's assume wchar_t will be promoted to "int" in the call,
+	       the same as char will be. */
+	    (void) va_arg (ap, int);
+	    goto next;
+
+	  case 'd':
+	  case 'i':
+	  case 'u':
+	  integer:
+	    TRACE (printf ("integer, base=%d\n", param.base));
+	    if (! seen_precision)
+	      param.prec = -1;
+	    switch (type) {
+	    case 'j':
+	      /* Let's assume uintmax_t is the same size as intmax_t. */
+#if HAVE_INTMAX_T
+	      (void) va_arg (ap, intmax_t);
+#else
+	      ASSERT_FAIL (intmax_t not available);
+#endif
+	      break;
+	    case 'l':
+	      (void) va_arg (ap, long);
+	      break;
+	    case 'L':
+#if HAVE_LONG_LONG
+	      (void) va_arg (ap, long long);
+#else
+	      ASSERT_FAIL (long long not available);
+#endif
+	      break;
+	    case 'N':
+	      {
+		mp_ptr     xp;
+		mp_size_t  xsize, abs_xsize;
+		mpz_t      z;
+		FLUSH ();
+		xp = va_arg (ap, mp_ptr);
+		PTR(z) = xp;
+		xsize = (int) va_arg (ap, mp_size_t);
+		abs_xsize = ABS (xsize);
+		MPN_NORMALIZE (xp, abs_xsize);
+		SIZ(z) = (xsize >= 0 ? abs_xsize : -abs_xsize);
+		ASSERT_CODE (ALLOC(z) = abs_xsize);
+		gmp_str = mpz_get_str (NULL, param.base, z);
+		goto gmp_integer;
+	      }
+	      /* break; */
+	    case 'q':
+	      /* quad_t is probably the same as long long, but let's treat
+		 it separately just to be sure.  Also let's assume u_quad_t
+		 will be the same size as quad_t.  */
+#if HAVE_QUAD_T
+	      (void) va_arg (ap, quad_t);
+#else
+	      ASSERT_FAIL (quad_t not available);
+#endif
+	      break;
+	    case 'Q':
+	      FLUSH ();
+	      gmp_str = mpq_get_str (NULL, param.base, va_arg(ap, mpq_srcptr));
+	      goto gmp_integer;
+	    case 't':
+#if HAVE_PTRDIFF_T
+	      (void) va_arg (ap, ptrdiff_t);
+#else
+	      ASSERT_FAIL (ptrdiff_t not available);
+#endif
+	      break;
+	    case 'z':
+	      (void) va_arg (ap, size_t);
+	      break;
+	    case 'Z':
+	      {
+		int   ret;
+		FLUSH ();
+		gmp_str = mpz_get_str (NULL, param.base,
+				       va_arg (ap, mpz_srcptr));
+	      gmp_integer:
+		ret = __gmp_doprnt_integer (funs, data, &param, gmp_str);
+		 __GMP_FREE_FUNC_TYPE (gmp_str, strlen(gmp_str)+1, char);
+		DOPRNT_ACCUMULATE (ret);
+		va_copy (last_ap, ap);
+		last_fmt = fmt;
+	      }
+	      break;
+	    default:
+	      /* default is an "int", and this includes h=short and hh=char
+		 since they're promoted to int in a function call */
+	      (void) va_arg (ap, int);
+	      break;
+	    }
+	    goto next;
+
+	  case 'E':
+	    param.base = -10;
+	    param.expfmt = "E%c%02ld";
+	    /*FALLTHRU*/
+	  case 'e':
+	    param.conv = DOPRNT_CONV_SCIENTIFIC;
+	  floating:
+	    if (param.showbase == DOPRNT_SHOWBASE_NONZERO)
+	      {
+		/* # in %e, %f and %g */
+		param.showpoint = 1;
+		param.showtrailing = 1;
+	      }
+	  floating_a:
+	    switch (type) {
+	    case 'F':
+	      FLUSH ();
+	      DOPRNT_ACCUMULATE (__gmp_doprnt_mpf (funs, data, &param,
+						   GMP_DECIMAL_POINT,
+						   va_arg (ap, mpf_srcptr)));
+	      va_copy (last_ap, ap);
+	      last_fmt = fmt;
+	      break;
+	    case 'L':
+#if HAVE_LONG_DOUBLE
+	      (void) va_arg (ap, long double);
+#else
+	      ASSERT_FAIL (long double not available);
+#endif
+	      break;
+	    default:
+	      (void) va_arg (ap, double);
+	      break;
+	    }
+	    goto next;
+
+	  case 'f':
+	    param.conv = DOPRNT_CONV_FIXED;
+	    goto floating;
+
+	  case 'F': /* mpf_t     */
+	  case 'j': /* intmax_t  */
+	  case 'L': /* long long */
+	  case 'N': /* mpn       */
+	  case 'q': /* quad_t    */
+	  case 'Q': /* mpq_t     */
+	  case 't': /* ptrdiff_t */
+	  case 'z': /* size_t    */
+	  case 'Z': /* mpz_t     */
+	  set_type:
+	    type = fchar;
+	    break;
+
+	  case 'G':
+	    param.base = -10;
+	    param.expfmt = "E%c%02ld";
+	    /*FALLTHRU*/
+	  case 'g':
+	    param.conv = DOPRNT_CONV_GENERAL;
+	    param.showtrailing = 0;
+	    goto floating;
+
+	  case 'h':
+	    if (type != 'h')
+	      goto set_type;
+	    type = 'H';   /* internal code for "hh" */
+	    break;
+
+	  case 'l':
+	    if (type != 'l')
+	      goto set_type;
+	    type = 'L';   /* "ll" means "L" */
+	    break;
+
+	  case 'm':
+	    /* glibc strerror(errno), no argument */
+	    goto next;
+
+	  case 'M': /* mp_limb_t */
+	    /* mung format string to l or ll and let plain printf handle it */
+#if _LONG_LONG_LIMB
+	    memmove (fmt+1, fmt, strlen (fmt)+1);
+	    fmt[-1] = 'l';
+	    fmt[0] = 'l';
+	    fmt++;
+	    type = 'L';
+#else
+	    fmt[-1] = 'l';
+	    type = 'l';
+#endif
+	    break;
+
+	  case 'n':
+	    {
+	      void  *p;
+	      FLUSH ();
+	      p = va_arg (ap, void *);
+	      switch (type) {
+	      case '\0': * (int       *) p = retval; break;
+	      case 'F':  mpf_set_si ((mpf_ptr) p, (long) retval); break;
+	      case 'H':  * (char      *) p = retval; break;
+	      case 'h':  * (short     *) p = retval; break;
+#if HAVE_INTMAX_T
+	      case 'j':  * (intmax_t  *) p = retval; break;
+#else
+	      case 'j':  ASSERT_FAIL (intmax_t not available); break;
+#endif
+	      case 'l':  * (long      *) p = retval; break;
+#if HAVE_QUAD_T && HAVE_LONG_LONG
+	      case 'q':
+		ASSERT_ALWAYS (sizeof (quad_t) == sizeof (long long));
+		/*FALLTHRU*/
+#else
+	      case 'q':  ASSERT_FAIL (quad_t not available); break;
+#endif
+#if HAVE_LONG_LONG
+	      case 'L':  * (long long *) p = retval; break;
+#else
+	      case 'L':  ASSERT_FAIL (long long not available); break;
+#endif
+	      case 'N':
+		{
+		  mp_size_t  n;
+		  n = va_arg (ap, mp_size_t);
+		  n = ABS (n);
+		  if (n != 0)
+		    {
+		      * (mp_ptr) p = retval;
+		      MPN_ZERO ((mp_ptr) p + 1, n - 1);
+		    }
+		}
+		break;
+	      case 'Q':  mpq_set_si ((mpq_ptr) p, (long) retval, 1L); break;
+#if HAVE_PTRDIFF_T
+	      case 't':  * (ptrdiff_t *) p = retval; break;
+#else
+	      case 't':  ASSERT_FAIL (ptrdiff_t not available); break;
+#endif
+	      case 'z':  * (size_t    *) p = retval; break;
+	      case 'Z':  mpz_set_si ((mpz_ptr) p, (long) retval); break;
+	      }
+	    }
+	    va_copy (last_ap, ap);
+	    last_fmt = fmt;
+	    goto next;
+
+	  case 'o':
+	    param.base = 8;
+	    goto integer;
+
+	  case 'p':
+	  case 's':
+	    /* "void *" will be good enough for "char *" or "wchar_t *", no
+	       need for separate code.  */
+	    (void) va_arg (ap, const void *);
+	    goto next;
+
+	  case 'x':
+	    param.base = 16;
+	    goto integer;
+	  case 'X':
+	    param.base = -16;
+	    goto integer;
+
+	  case '%':
+	    goto next;
+
+	  case '#':
+	    param.showbase = DOPRNT_SHOWBASE_NONZERO;
+	    break;
+
+	  case '\'':
+	    /* glibc digit grouping, just pass it through, no support for it
+	       on gmp types */
+	    break;
+
+	  case '+':
+	  case ' ':
+	    param.sign = fchar;
+	    break;
+
+	  case '-':
+	    param.justify = DOPRNT_JUSTIFY_LEFT;
+	    break;
+	  case '.':
+	    seen_precision = 1;
+	    param.prec = -1; /* "." alone means all necessary digits */
+	    value = &param.prec;
+	    break;
+
+	  case '*':
+	    {
+	      int n = va_arg (ap, int);
+
+	      if (value == &param.width)
+		{
+		  /* negative width means left justify */
+		  if (n < 0)
+		    {
+		      param.justify = DOPRNT_JUSTIFY_LEFT;
+		      n = -n;
+		    }
+		  param.width = n;
+		}
+	      else
+		{
+		  /* don't allow negative precision */
+		  param.prec = MAX (0, n);
+		}
+	    }
+	    break;
+
+	  case '0':
+	    if (value == &param.width)
+	      {
+		/* in width field, set fill */
+		param.fill = '0';
+
+		/* for right justify, put the fill after any minus sign */
+		if (param.justify == DOPRNT_JUSTIFY_RIGHT)
+		  param.justify = DOPRNT_JUSTIFY_INTERNAL;
+	      }
+	    else
+	      {
+		/* in precision field, set value */
+		*value = 0;
+	      }
+	    break;
+
+	  case '1': case '2': case '3': case '4': case '5':
+	  case '6': case '7': case '8': case '9':
+	    /* process all digits to form a value */
+	    {
+	      int  n = 0;
+	      do {
+		n = n * 10 + (fchar-'0');
+		fchar = *fmt++;
+	      } while (isascii (fchar) && isdigit (fchar));
+	      fmt--; /* unget the non-digit */
+	      *value = n;
+	    }
+	    break;
+
+	  default:
+	    /* something invalid */
+	    ASSERT (0);
+	    goto next;
+	  }
+	}
+
+    next:
+      /* Stop parsing the current "%" format, look for a new one. */
+      ;
+    }
+
+  TRACE (printf ("remainder: \"%s\"\n", last_fmt));
+  if (*last_fmt != '\0')
+    DOPRNT_FORMAT (last_fmt, last_ap);
+
+  if (funs->final != NULL)
+    if ((*funs->final) (data) == -1)
+      goto error;
+
+ done:
+  __GMP_FREE_FUNC_TYPE (alloc_fmt, alloc_fmt_size, char);
+  return retval;
+
+ error:
+  retval = -1;
+  goto done;
+}
diff --git a/vendor/gmp-6.3.0/printf/doprntf.c b/vendor/gmp-6.3.0/printf/doprntf.c
new file mode 100644
index 0000000..2a7e0d2
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/doprntf.c
@@ -0,0 +1,389 @@
+/* __gmp_doprnt_mpf -- mpf formatted output.
+
+   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 2001, 2002, 2011 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>    /* for va_list and hence doprnt_funs_t */
+#include <ctype.h>
+#include <string.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "gmp-impl.h"
+#include "longlong.h"
+
+
+/* change this to "#define TRACE(x) x" for diagnostics */
+#define TRACE(x)
+
+
+/* The separate of __gmp_doprnt_float_digits and __gmp_doprnt_float is so
+   some C++ can do the mpf_get_str and release it in case of an exception */
+
+#define DIGIT_VALUE(c)                  \
+  (isdigit (c)   ? (c) - '0'            \
+   : islower (c) ? (c) - 'a' + 10       \
+   :               (c) - 'A' + 10)
+
+int
+__gmp_doprnt_mpf (const struct doprnt_funs_t *funs,
+		  void *data,
+		  const struct doprnt_params_t *p,
+		  const char *point,
+		  mpf_srcptr f)
+{
+  int         prec, ndigits, free_size, len, newlen, justify, justlen, explen;
+  int         showbaselen, sign, signlen, intlen, intzeros, pointlen;
+  int         fraczeros, fraclen, preczeros;
+  char        *s, *free_ptr;
+  mp_exp_t    exp;
+  char        exponent[GMP_LIMB_BITS + 10];
+  const char  *showbase;
+  int         retval = 0;
+
+  TRACE (printf ("__gmp_doprnt_float\n");
+	 printf ("  conv=%d prec=%d\n", p->conv, p->prec));
+
+  prec = p->prec;
+  if (prec <= -1)
+    {
+      /* all digits */
+      ndigits = 0;
+
+      /* arrange the fixed/scientific decision on a "prec" implied by how
+	 many significant digits there are */
+      if (p->conv == DOPRNT_CONV_GENERAL)
+	MPF_SIGNIFICANT_DIGITS (prec, PREC(f), ABS(p->base));
+    }
+  else
+    {
+      switch (p->conv) {
+      case DOPRNT_CONV_FIXED:
+	/* Precision is digits after the radix point.  Try not to generate
+	   too many more than will actually be required.  If f>=1 then
+	   overestimate the integer part, and add prec.  If f<1 then
+	   underestimate the zeros between the radix point and the first
+	   digit and subtract that from prec.  In either case add 2 so the
+	   round to nearest can be applied accurately.  Finally, we add 1 to
+	   handle the case of 1-eps where EXP(f) = 0 but mpf_get_str returns
+	   exp as 1.  */
+	ndigits = prec + 2 + 1
+	  + EXP(f) * (mp_bases[ABS(p->base)].chars_per_limb + (EXP(f)>=0));
+	ndigits = MAX (ndigits, 1);
+	break;
+
+      case DOPRNT_CONV_SCIENTIFIC:
+	/* precision is digits after the radix point, and there's one digit
+	   before */
+	ndigits = prec + 1;
+	break;
+
+      default:
+	ASSERT (0);
+	/*FALLTHRU*/
+
+      case DOPRNT_CONV_GENERAL:
+	/* precision is total digits, but be sure to ask mpf_get_str for at
+	   least 1, not 0 */
+	ndigits = MAX (prec, 1);
+	break;
+      }
+    }
+  TRACE (printf ("  ndigits %d\n", ndigits));
+
+  s = mpf_get_str (NULL, &exp, p->base, ndigits, f);
+  len = strlen (s);
+  free_ptr = s;
+  free_size = len + 1;
+  TRACE (printf ("  s   %s\n", s);
+	 printf ("  exp %ld\n", exp);
+	 printf ("  len %d\n", len));
+
+  /* For fixed mode check the ndigits formed above was in fact enough for
+     the integer part plus p->prec after the radix point. */
+  ASSERT ((p->conv == DOPRNT_CONV_FIXED && p->prec > -1)
+	  ? ndigits >= MAX (1, exp + p->prec + 2) : 1);
+
+  sign = p->sign;
+  if (s[0] == '-')
+    {
+      sign = s[0];
+      s++, len--;
+    }
+  signlen = (sign != '\0');
+  TRACE (printf ("  sign %c  signlen %d\n", sign, signlen));
+
+  switch (p->conv) {
+  case DOPRNT_CONV_FIXED:
+    if (prec <= -1)
+      prec = MAX (0, len-exp);   /* retain all digits */
+
+    /* Truncate if necessary so fraction will be at most prec digits. */
+    ASSERT (prec >= 0);
+    newlen = exp + prec;
+    if (newlen < 0)
+      {
+	/* first non-zero digit is below target prec, and at least one zero
+	   digit in between, so print zero */
+	len = 0;
+	exp = 0;
+      }
+    else if (len <= newlen)
+      {
+	/* already got few enough digits */
+      }
+    else
+      {
+	/* discard excess digits and round to nearest */
+
+	const char  *num_to_text = (p->base >= 0
+				    ? "0123456789abcdefghijklmnopqrstuvwxyz"
+				    : "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ");
+	int  base = ABS(p->base);
+	int  n;
+
+	ASSERT (base <= 36);
+
+	len = newlen;
+	n = DIGIT_VALUE (s[len]);
+	TRACE (printf ("  rounding with %d\n", n));
+	if (n >= (base + 1) / 2)
+	  {
+	    /* propagate a carry */
+	    for (;;)
+	      {
+		if (len == 0)
+		  {
+		    s[0] = '1';
+		    len = 1;
+		    exp++;
+		    break;
+		  }
+		n = DIGIT_VALUE (s[len-1]);
+		ASSERT (n >= 0 && n < base);
+		n++;
+		if (n != base)
+		  {
+		    TRACE (printf ("  storing now %d\n", n));
+		    s[len-1] = num_to_text[n];
+		    break;
+		  }
+		len--;
+	      }
+	  }
+	else
+	  {
+	    /* truncate only, strip any trailing zeros now exposed */
+	    while (len > 0 && s[len-1] == '0')
+	      len--;
+	  }
+
+	/* Can have newlen==0, in which case the truncate was just to check
+	   for a carry turning it into "1".  If we're left with len==0 then
+	   adjust exp to match.  */
+	if (len == 0)
+	  exp = 0;
+      }
+
+  fixed:
+    ASSERT (len == 0 ? exp == 0 : 1);
+    if (exp <= 0)
+      {
+	TRACE (printf ("  fixed 0.000sss\n"));
+	intlen = 0;
+	intzeros = 1;
+	fraczeros = -exp;
+	fraclen = len;
+      }
+    else
+      {
+	TRACE (printf ("  fixed sss.sss or sss000\n"));
+	intlen = MIN (len, exp);
+	intzeros = exp - intlen;
+	fraczeros = 0;
+	fraclen = len - intlen;
+      }
+    explen = 0;
+    break;
+
+  case DOPRNT_CONV_SCIENTIFIC:
+    {
+      long int expval;
+      char  expsign;
+
+      if (prec <= -1)
+	prec = MAX (0, len-1);   /* retain all digits */
+
+    scientific:
+      TRACE (printf ("  scientific s.sss\n"));
+
+      intlen = MIN (1, len);
+      intzeros = (intlen == 0 ? 1 : 0);
+      fraczeros = 0;
+      fraclen = len - intlen;
+
+      expval = (exp-intlen);
+      if (p->exptimes4)
+	expval <<= 2;
+
+      /* Split out the sign since %o or %x in expfmt give negatives as twos
+	 complement, not with a sign. */
+      expsign = (expval >= 0 ? '+' : '-');
+      expval = ABS (expval);
+
+#if HAVE_VSNPRINTF
+      explen = snprintf (exponent, sizeof(exponent),
+			 p->expfmt, expsign, expval);
+      /* test for < sizeof-1 since a glibc 2.0.x return of sizeof-1 might
+	 mean truncation */
+      ASSERT (explen >= 0 && explen < sizeof(exponent)-1);
+#else
+      sprintf (exponent, p->expfmt, expsign, expval);
+      explen = strlen (exponent);
+      ASSERT (explen < sizeof(exponent));
+#endif
+      TRACE (printf ("  expfmt %s gives %s\n", p->expfmt, exponent));
+    }
+    break;
+
+  default:
+    ASSERT (0);
+    /*FALLTHRU*/  /* to stop variables looking uninitialized */
+
+  case DOPRNT_CONV_GENERAL:
+    /* The exponent for "scientific" will be exp-1, choose scientific if
+       this is < -4 or >= prec (and minimum 1 for prec).  For f==0 will have
+       exp==0 and get the desired "fixed".  This rule follows glibc.  For
+       fixed there's no need to truncate, the desired ndigits will already
+       be as required.  */
+    if (exp-1 < -4 || exp-1 >= MAX (1, prec))
+      goto scientific;
+    else
+      goto fixed;
+  }
+
+  TRACE (printf ("  intlen %d intzeros %d fraczeros %d fraclen %d\n",
+		 intlen, intzeros, fraczeros, fraclen));
+  ASSERT (p->prec <= -1
+	  ? intlen + fraclen == strlen (s)
+	  : intlen + fraclen <= strlen (s));
+
+  if (p->showtrailing)
+    {
+      /* Pad to requested precision with trailing zeros, for general this is
+	 all digits, for fixed and scientific just the fraction.  */
+      preczeros = prec - (fraczeros + fraclen
+			  + (p->conv == DOPRNT_CONV_GENERAL
+			     ? intlen + intzeros : 0));
+      preczeros = MAX (0, preczeros);
+    }
+  else
+    preczeros = 0;
+  TRACE (printf ("  prec=%d showtrailing=%d, pad with preczeros %d\n",
+		 prec, p->showtrailing, preczeros));
+
+  /* radix point if needed, or if forced */
+  pointlen = ((fraczeros + fraclen + preczeros) != 0 || p->showpoint != 0)
+    ? strlen (point) : 0;
+  TRACE (printf ("  point |%s|  pointlen %d\n", point, pointlen));
+
+  /* Notice the test for a non-zero value is done after any truncation for
+     DOPRNT_CONV_FIXED. */
+  showbase = NULL;
+  showbaselen = 0;
+  switch (p->showbase) {
+  default:
+    ASSERT (0);
+    /*FALLTHRU*/
+  case DOPRNT_SHOWBASE_NO:
+    break;
+  case DOPRNT_SHOWBASE_NONZERO:
+    if (intlen == 0 && fraclen == 0)
+      break;
+    /*FALLTHRU*/
+  case DOPRNT_SHOWBASE_YES:
+    switch (p->base) {
+    case 16:  showbase = "0x"; showbaselen = 2; break;
+    case -16: showbase = "0X"; showbaselen = 2; break;
+    case 8:   showbase = "0";  showbaselen = 1; break;
+    }
+    break;
+  }
+  TRACE (printf ("  showbase %s showbaselen %d\n",
+		 showbase == NULL ? "" : showbase, showbaselen));
+
+  /* left over field width */
+  justlen = p->width - (signlen + showbaselen + intlen + intzeros + pointlen
+			+ fraczeros + fraclen + preczeros + explen);
+  TRACE (printf ("  justlen %d fill 0x%X\n", justlen, p->fill));
+
+  justify = p->justify;
+  if (justlen <= 0) /* no justifying if exceed width */
+    justify = DOPRNT_JUSTIFY_NONE;
+
+  TRACE (printf ("  justify type %d  intlen %d pointlen %d fraclen %d\n",
+		 justify, intlen, pointlen, fraclen));
+
+  if (justify == DOPRNT_JUSTIFY_RIGHT)         /* pad for right */
+    DOPRNT_REPS (p->fill, justlen);
+
+  if (signlen)                                 /* sign */
+    DOPRNT_REPS (sign, 1);
+
+  DOPRNT_MEMORY_MAYBE (showbase, showbaselen); /* base */
+
+  if (justify == DOPRNT_JUSTIFY_INTERNAL)      /* pad for internal */
+    DOPRNT_REPS (p->fill, justlen);
+
+  DOPRNT_MEMORY (s, intlen);                   /* integer */
+  DOPRNT_REPS_MAYBE ('0', intzeros);
+
+  DOPRNT_MEMORY_MAYBE (point, pointlen);       /* point */
+
+  DOPRNT_REPS_MAYBE ('0', fraczeros);          /* frac */
+  DOPRNT_MEMORY_MAYBE (s+intlen, fraclen);
+
+  DOPRNT_REPS_MAYBE ('0', preczeros);          /* prec */
+
+  DOPRNT_MEMORY_MAYBE (exponent, explen);      /* exp */
+
+  if (justify == DOPRNT_JUSTIFY_LEFT)          /* pad for left */
+    DOPRNT_REPS (p->fill, justlen);
+
+ done:
+  __GMP_FREE_FUNC_TYPE (free_ptr, free_size, char);
+  return retval;
+
+ error:
+  retval = -1;
+  goto done;
+}
diff --git a/vendor/gmp-6.3.0/printf/doprnti.c b/vendor/gmp-6.3.0/printf/doprnti.c
new file mode 100644
index 0000000..61ff643
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/doprnti.c
@@ -0,0 +1,136 @@
+/* __gmp_doprnt_integer -- integer style formatted output.
+
+   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 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 <stdarg.h>    /* for va_list and hence doprnt_funs_t */
+#include <string.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "gmp-impl.h"
+
+
+int
+__gmp_doprnt_integer (const struct doprnt_funs_t *funs,
+		      void *data,
+		      const struct doprnt_params_t *p,
+		      const char *s)
+{
+  int         retval = 0;
+  int         slen, justlen, showbaselen, sign, signlen, slashlen, zeros;
+  int         justify, den_showbaselen;
+  const char  *slash, *showbase;
+
+  /* '+' or ' ' if wanted, and don't already have '-' */
+  sign = p->sign;
+  if (s[0] == '-')
+    {
+      sign = s[0];
+      s++;
+    }
+  signlen = (sign != '\0');
+
+  /* if the precision was explicitly 0, print nothing for a 0 value */
+  if (*s == '0' && p->prec == 0)
+    s++;
+
+  slen = strlen (s);
+  slash = strchr (s, '/');
+
+  showbase = NULL;
+  showbaselen = 0;
+
+  if (p->showbase != DOPRNT_SHOWBASE_NO)
+    {
+      switch (p->base) {
+      case 16:  showbase = "0x"; showbaselen = 2; break;
+      case -16: showbase = "0X"; showbaselen = 2; break;
+      case 8:   showbase = "0";  showbaselen = 1; break;
+      }
+    }
+
+  den_showbaselen = showbaselen;
+  if (slash == NULL
+      || (p->showbase == DOPRNT_SHOWBASE_NONZERO && slash[1] == '0'))
+    den_showbaselen = 0;
+
+  if (p->showbase == DOPRNT_SHOWBASE_NONZERO && s[0] == '0')
+    showbaselen = 0;
+
+  /* the influence of p->prec on mpq is currently undefined */
+  zeros = MAX (0, p->prec - slen);
+
+  /* space left over after actual output length */
+  justlen = p->width
+    - (strlen(s) + signlen + showbaselen + den_showbaselen + zeros);
+
+  justify = p->justify;
+  if (justlen <= 0) /* no justifying if exceed width */
+    justify = DOPRNT_JUSTIFY_NONE;
+
+  if (justify == DOPRNT_JUSTIFY_RIGHT)             /* pad right */
+    DOPRNT_REPS (p->fill, justlen);
+
+  DOPRNT_REPS_MAYBE (sign, signlen);               /* sign */
+
+  DOPRNT_MEMORY_MAYBE (showbase, showbaselen);     /* base */
+
+  DOPRNT_REPS_MAYBE ('0', zeros);                  /* zeros */
+
+  if (justify == DOPRNT_JUSTIFY_INTERNAL)          /* pad internal */
+    DOPRNT_REPS (p->fill, justlen);
+
+  /* if there's a showbase on the denominator, then print the numerator
+     separately so it can be inserted */
+  if (den_showbaselen != 0)
+    {
+      ASSERT (slash != NULL);
+      slashlen = slash+1 - s;
+      DOPRNT_MEMORY (s, slashlen);                 /* numerator and slash */
+      slen -= slashlen;
+      s += slashlen;
+      DOPRNT_MEMORY (showbase, den_showbaselen);
+    }
+
+  DOPRNT_MEMORY (s, slen);                         /* number, or denominator */
+
+  if (justify == DOPRNT_JUSTIFY_LEFT)              /* pad left */
+    DOPRNT_REPS (p->fill, justlen);
+
+ done:
+  return retval;
+
+ error:
+  retval = -1;
+  goto done;
+}
diff --git a/vendor/gmp-6.3.0/printf/fprintf.c b/vendor/gmp-6.3.0/printf/fprintf.c
new file mode 100644
index 0000000..0008b3b
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/fprintf.c
@@ -0,0 +1,48 @@
+/* gmp_fprintf -- formatted output.
+
+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 <stdarg.h>
+#include <stdio.h>
+
+#include "gmp-impl.h"
+
+
+int
+gmp_fprintf (FILE *fp, const char *fmt, ...)
+{
+  va_list  ap;
+  int      ret;
+
+  va_start (ap, fmt);
+
+  ret = __gmp_doprnt (&__gmp_fprintf_funs, fp, fmt, ap);
+  va_end (ap);
+  return ret;
+}
diff --git a/vendor/gmp-6.3.0/printf/obprintf.c b/vendor/gmp-6.3.0/printf/obprintf.c
new file mode 100644
index 0000000..c12d6de
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/obprintf.c
@@ -0,0 +1,60 @@
+/* gmp_obstack_printf -- formatted output to an obstack.
+
+Copyright 2001, 2002, 2018 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 "config.h"
+
+#if HAVE_OBSTACK_VPRINTF
+
+#include <stdarg.h>
+#include <obstack.h>
+#include <string.h>
+
+#include "gmp-impl.h"
+
+
+int
+gmp_obstack_printf (struct obstack *ob, const char *fmt, ...)
+{
+  va_list  ap;
+  int      ret;
+
+  va_start (ap, fmt);
+
+  ASSERT (! MEM_OVERLAP_P (obstack_base(ob), obstack_object_size(ob),
+                           fmt, strlen(fmt)+1));
+
+  ret = __gmp_doprnt (&__gmp_obstack_printf_funs, ob, fmt, ap);
+  va_end (ap);
+  return ret;
+}
+
+#else
+typedef int __gmp_dummy_typedef;
+#endif /* HAVE_OBSTACK_VPRINTF */
diff --git a/vendor/gmp-6.3.0/printf/obprntffuns.c b/vendor/gmp-6.3.0/printf/obprntffuns.c
new file mode 100644
index 0000000..a23e4e8
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/obprntffuns.c
@@ -0,0 +1,73 @@
+/* __gmp_obstack_printf_funs -- support for gmp_obstack_printf and
+   gmp_obstack_vprintf.
+
+   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 2001, 2018 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 "config.h"
+
+#if HAVE_OBSTACK_VPRINTF
+
+#define _GNU_SOURCE   /* ask glibc <stdio.h> for obstack_vprintf */
+
+#include <stdarg.h>
+#include <stdio.h>    /* for obstack_vprintf */
+#include <string.h>
+#include <obstack.h>
+
+#include "gmp-impl.h"
+
+
+static int
+gmp_obstack_memory (struct obstack *ob, const char *ptr, size_t len)
+{
+  obstack_grow (ob, ptr, len);
+  return len;
+}
+
+static int
+gmp_obstack_reps (struct obstack *ob, int c, int reps)
+{
+  obstack_blank (ob, reps);
+  memset ((char *) obstack_next_free(ob) - reps, c, reps);
+  return reps;
+}
+
+const struct doprnt_funs_t  __gmp_obstack_printf_funs = {
+  (doprnt_format_t) obstack_vprintf,
+  (doprnt_memory_t) gmp_obstack_memory,
+  (doprnt_reps_t)   gmp_obstack_reps
+};
+
+#else
+typedef int __gmp_dummy_typedef;
+#endif /* HAVE_OBSTACK_VPRINTF */
diff --git a/vendor/gmp-6.3.0/printf/obvprintf.c b/vendor/gmp-6.3.0/printf/obvprintf.c
new file mode 100644
index 0000000..7563c11
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/obvprintf.c
@@ -0,0 +1,53 @@
+/* gmp_obstack_vprintf -- formatted output to an obstack.
+
+Copyright 2001, 2002, 2018 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 "config.h"
+
+#if HAVE_OBSTACK_VPRINTF
+
+#include <stdarg.h>
+#include <obstack.h>
+#include <string.h>
+
+#include "gmp-impl.h"
+
+
+int
+gmp_obstack_vprintf (struct obstack *ob, const char *fmt, va_list ap)
+{
+  ASSERT (! MEM_OVERLAP_P (obstack_base(ob), obstack_object_size(ob),
+                           fmt, strlen(fmt)+1));
+
+  return __gmp_doprnt (&__gmp_obstack_printf_funs, ob, fmt, ap);
+}
+
+#else
+typedef int __gmp_dummy_typedef;
+#endif /* HAVE_OBSTACK_VPRINTF */
diff --git a/vendor/gmp-6.3.0/printf/printf.c b/vendor/gmp-6.3.0/printf/printf.c
new file mode 100644
index 0000000..4becb0b
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/printf.c
@@ -0,0 +1,48 @@
+/* gmp_printf -- formatted output.
+
+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 <stdarg.h>
+#include <stdio.h>
+
+#include "gmp-impl.h"
+
+
+int
+gmp_printf (const char *fmt, ...)
+{
+  va_list  ap;
+  int      ret;
+
+  va_start (ap, fmt);
+
+  ret = __gmp_doprnt (&__gmp_fprintf_funs, stdout, fmt, ap);
+  va_end (ap);
+  return ret;
+}
diff --git a/vendor/gmp-6.3.0/printf/printffuns.c b/vendor/gmp-6.3.0/printf/printffuns.c
new file mode 100644
index 0000000..957381d
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/printffuns.c
@@ -0,0 +1,79 @@
+/* __gmp_fprintf_funs -- support for formatted output to FILEs.
+
+   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 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 <stdarg.h>
+#include <stdio.h>
+#include <string.h>
+
+#include "gmp-impl.h"
+
+/* SunOS 4 stdio.h doesn't provide a prototype for this */
+#if ! HAVE_DECL_VFPRINTF
+int vfprintf (FILE *, const char *, va_list);
+#endif
+
+
+static int
+gmp_fprintf_memory (FILE *fp, const char *str, size_t len)
+{
+  return fwrite (str, 1, len, fp);
+}
+
+/* glibc putc is a function, at least when it's in multi-threaded mode or
+   some such, so fwrite chunks instead of making many calls. */
+static int
+gmp_fprintf_reps (FILE *fp, int c, int reps)
+{
+  char  buf[256];
+  int   i, piece, ret;
+  ASSERT (reps >= 0);
+
+  memset (buf, c, MIN (reps, sizeof (buf)));
+  for (i = reps; i > 0; i -= sizeof (buf))
+    {
+      piece = MIN (i, sizeof (buf));
+      ret = fwrite (buf, 1, piece, fp);
+      if (ret == -1)
+        return ret;
+      ASSERT (ret == piece);
+    }
+
+  return reps;
+}
+
+const struct doprnt_funs_t  __gmp_fprintf_funs = {
+  (doprnt_format_t) vfprintf,
+  (doprnt_memory_t) gmp_fprintf_memory,
+  (doprnt_reps_t)   gmp_fprintf_reps,
+};
diff --git a/vendor/gmp-6.3.0/printf/repl-vsnprintf.c b/vendor/gmp-6.3.0/printf/repl-vsnprintf.c
new file mode 100644
index 0000000..81b404d
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/repl-vsnprintf.c
@@ -0,0 +1,393 @@
+/* __gmp_replacement_vsnprintf -- for systems which don't have vsnprintf, or
+   only have a broken one.
+
+   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 2001, 2002, 2018 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 "config.h"
+
+#define _GNU_SOURCE    /* for strnlen prototype */
+
+#include <stdarg.h>
+#include <ctype.h>     /* for isdigit */
+#include <stddef.h>    /* for ptrdiff_t */
+#include <string.h>
+#include <stdio.h>     /* for NULL */
+#include <stdlib.h>
+
+#if HAVE_FLOAT_H
+#include <float.h>     /* for DBL_MAX_10_EXP etc */
+#endif
+
+#if HAVE_INTTYPES_H
+# include <inttypes.h> /* for intmax_t */
+#endif
+#if HAVE_STDINT_H
+# include <stdint.h>
+#endif
+
+#if HAVE_SYS_TYPES_H
+#include <sys/types.h> /* for quad_t */
+#endif
+
+#include "gmp-impl.h"
+
+
+#if ! HAVE_VSNPRINTF   /* only need this file if we don't have vsnprintf */
+
+/* Autoconf notes that AIX 4.3 has a broken strnlen, but fortunately it
+   doesn't affect us since __gmp_replacement_vsnprintf is not required on
+   that system.  */
+#if ! HAVE_STRNLEN
+static size_t
+strnlen (const char *s, size_t n)
+{
+  size_t  i;
+  for (i = 0; i < n; i++)
+    if (s[i] == '\0')
+      break;
+  return i;
+}
+#endif
+
+
+/* The approach here is to parse the fmt string, and decide how much space
+   it requires, then use vsprintf into a big enough buffer.  The space
+   calculated isn't an exact amount, but it's certainly no less than
+   required.
+
+   This code was inspired by GNU libiberty/vasprintf.c but we support more
+   datatypes, when available.
+
+   mingw32 - doesn't have vsnprintf, it seems.  Because gcc is used a full
+       set of types are available, but "long double" is just a plain IEEE
+       64-bit "double" and LDBL_MAX_EXP_10 is correspondingly defined, so we
+       avoid the big 15-bit exponent estimate.  */
+
+int
+__gmp_replacement_vsnprintf (char *buf, size_t buf_size,
+			     const char *orig_fmt, va_list orig_ap)
+{
+  va_list     ap;
+  const char  *fmt;
+  size_t      total_width, integer_sizeof, floating_sizeof, len;
+  char        fchar, type;
+  int         width, prec, seen_prec, double_digits, long_double_digits;
+  int         *value;
+
+  /* preserve orig_ap for use after size estimation */
+  va_copy (ap, orig_ap);
+
+  fmt = orig_fmt;
+  total_width = strlen (fmt) + 1;   /* 1 extra for the '\0' */
+
+  integer_sizeof = sizeof (long);
+#if HAVE_LONG_LONG
+  integer_sizeof = MAX (integer_sizeof, sizeof (long long));
+#endif
+#if HAVE_QUAD_T
+  integer_sizeof = MAX (integer_sizeof, sizeof (quad_t));
+#endif
+
+  floating_sizeof = sizeof (double);
+#if HAVE_LONG_DOUBLE
+  floating_sizeof = MAX (floating_sizeof, sizeof (long double));
+#endif
+
+  /* IEEE double or VAX G floats have an 11 bit exponent, so the default is
+     a maximum 308 decimal digits.  VAX D floats have only an 8 bit
+     exponent, but we don't bother trying to detect that directly.  */
+  double_digits = 308;
+#ifdef DBL_MAX_10_EXP
+  /* but in any case prefer a value the compiler says */
+  double_digits = DBL_MAX_10_EXP;
+#endif
+
+  /* IEEE 128-bit quad, Intel 80-bit temporary, or VAX H floats all have 15
+     bit exponents, so the default is a maximum 4932 decimal digits.  */
+  long_double_digits = 4932;
+  /* but if double == long double, then go with that size */
+#if HAVE_LONG_DOUBLE
+  if (sizeof (double) == sizeof (long double))
+    long_double_digits = double_digits;
+#endif
+#ifdef LDBL_MAX_10_EXP
+  /* but in any case prefer a value the compiler says */
+  long_double_digits = LDBL_MAX_10_EXP;
+#endif
+
+  for (;;)
+    {
+      fmt = strchr (fmt, '%');
+      if (fmt == NULL)
+	break;
+      fmt++;
+
+      type = '\0';
+      width = 0;
+      prec = 6;
+      seen_prec = 0;
+      value = &width;
+
+      for (;;)
+	{
+	  fchar = *fmt++;
+	  switch (fchar) {
+
+	  case 'c':
+	    /* char, already accounted for by strlen(fmt) */
+	    goto next;
+
+	  case 'd':
+	  case 'i':
+	  case 'o':
+	  case 'x':
+	  case 'X':
+	  case 'u':
+	    /* at most 3 digits per byte in hex, dec or octal, plus a sign */
+	    total_width += 3 * integer_sizeof + 1;
+
+	    switch (type) {
+	    case 'j':
+	      /* Let's assume uintmax_t is the same size as intmax_t. */
+#if HAVE_INTMAX_T
+	      (void) va_arg (ap, intmax_t);
+#else
+	      ASSERT_FAIL (intmax_t not available);
+#endif
+	      break;
+	    case 'l':
+	      (void) va_arg (ap, long);
+	      break;
+	    case 'L':
+#if HAVE_LONG_LONG
+	      (void) va_arg (ap, long long);
+#else
+	      ASSERT_FAIL (long long not available);
+#endif
+	      break;
+	    case 'q':
+	      /* quad_t is probably the same as long long, but let's treat
+		 it separately just to be sure.  Also let's assume u_quad_t
+		 will be the same size as quad_t.  */
+#if HAVE_QUAD_T
+	      (void) va_arg (ap, quad_t);
+#else
+	      ASSERT_FAIL (quad_t not available);
+#endif
+	      break;
+	    case 't':
+#if HAVE_PTRDIFF_T
+	      (void) va_arg (ap, ptrdiff_t);
+#else
+	      ASSERT_FAIL (ptrdiff_t not available);
+#endif
+	      break;
+	    case 'z':
+	      (void) va_arg (ap, size_t);
+	      break;
+	    default:
+	      /* default is an "int", and this includes h=short and hh=char
+		 since they're promoted to int in a function call */
+	      (void) va_arg (ap, int);
+	      break;
+	    }
+	    goto next;
+
+	  case 'E':
+	  case 'e':
+	  case 'G':
+	  case 'g':
+	    /* Requested decimals, sign, point and e, plus an overestimate
+	       of exponent digits (the assumption is all the float is
+	       exponent!).  */
+	    total_width += prec + 3 + floating_sizeof * 3;
+	    if (type == 'L')
+	      {
+#if HAVE_LONG_DOUBLE
+		(void) va_arg (ap, long double);
+#else
+		ASSERT_FAIL (long double not available);
+#endif
+	      }
+	    else
+	      (void) va_arg (ap, double);
+	    goto next;
+
+	  case 'f':
+	    /* Requested decimals, sign and point, and a margin for error,
+	       then add the maximum digits that can be in the integer part,
+	       based on the maximum exponent value. */
+	    total_width += prec + 2 + 10;
+	    if (type == 'L')
+	      {
+#if HAVE_LONG_DOUBLE
+		(void) va_arg (ap, long double);
+		total_width += long_double_digits;
+#else
+		ASSERT_FAIL (long double not available);
+#endif
+	      }
+	    else
+	      {
+		(void) va_arg (ap, double);
+		total_width += double_digits;
+	      }
+	    goto next;
+
+	  case 'h':  /* short or char */
+	  case 'j':  /* intmax_t */
+	  case 'L':  /* long long or long double */
+	  case 'q':  /* quad_t */
+	  case 't':  /* ptrdiff_t */
+	  case 'z':  /* size_t */
+	  set_type:
+	    type = fchar;
+	    break;
+
+	  case 'l':
+	    /* long or long long */
+	    if (type != 'l')
+	      goto set_type;
+	    type = 'L';   /* "ll" means "L" */
+	    break;
+
+	  case 'n':
+	    /* bytes written, no output as such */
+	    (void) va_arg (ap, void *);
+	    goto next;
+
+	  case 's':
+	    /* If no precision was given, then determine the string length
+	       and put it there, to be added to the total under "next".  If
+	       a precision was given then that's already the maximum from
+	       this field, but see whether the string is shorter than that,
+	       in case the limit was very big.  */
+	    {
+	      const char  *s = va_arg (ap, const char *);
+	      prec = (seen_prec ? strnlen (s, prec) : strlen (s));
+	    }
+	    goto next;
+
+	  case 'p':
+	    /* pointer, let's assume at worst it's octal with some padding */
+	    (void) va_arg (ap, const void *);
+	    total_width += 3 * sizeof (void *) + 16;
+	    goto next;
+
+	  case '%':
+	    /* literal %, already accounted for by strlen(fmt) */
+	    goto next;
+
+	  case '#':
+	    /* showbase, at most 2 for "0x" */
+	    total_width += 2;
+	    break;
+
+	  case '+':
+	  case ' ':
+	    /* sign, already accounted for under numerics */
+	    break;
+
+	  case '-':
+	    /* left justify, no effect on total width */
+	    break;
+
+	  case '.':
+	    seen_prec = 1;
+	    value = &prec;
+	    break;
+
+	  case '*':
+	    {
+	      /* negative width means left justify which can be ignored,
+		 negative prec would be invalid, just use absolute value */
+	      int n = va_arg (ap, int);
+	      *value = ABS (n);
+	    }
+	    break;
+
+	  case '0': case '1': case '2': case '3': case '4':
+	  case '5': case '6': case '7': case '8': case '9':
+	    /* process all digits to form a value */
+	    {
+	      int  n = 0;
+	      do {
+		n = n * 10 + (fchar-'0');
+		fchar = *fmt++;
+	      } while (isascii (fchar) && isdigit (fchar));
+	      fmt--; /* unget the non-digit */
+	      *value = n;
+	    }
+	    break;
+
+	  default:
+	    /* incomplete or invalid % sequence */
+	    ASSERT (0);
+	    goto next;
+	  }
+	}
+
+    next:
+      total_width += width;
+      total_width += prec;
+    }
+
+  if (total_width <= buf_size)
+    {
+      vsprintf (buf, orig_fmt, orig_ap);
+      len = strlen (buf);
+    }
+  else
+    {
+      char  *s;
+
+      s = __GMP_ALLOCATE_FUNC_TYPE (total_width, char);
+      vsprintf (s, orig_fmt, orig_ap);
+      len = strlen (s);
+      if (buf_size != 0)
+	{
+	  size_t  copylen = MIN (len, buf_size-1);
+	  memcpy (buf, s, copylen);
+	  buf[copylen] = '\0';
+	}
+      __GMP_FREE_FUNC_TYPE (s, total_width, char);
+    }
+
+  /* If total_width was somehow wrong then chances are we've already
+     clobbered memory, but maybe this check will still work.  */
+  ASSERT_ALWAYS (len < total_width);
+
+  return len;
+}
+
+#endif /* ! HAVE_VSNPRINTF */
diff --git a/vendor/gmp-6.3.0/printf/snprintf.c b/vendor/gmp-6.3.0/printf/snprintf.c
new file mode 100644
index 0000000..8da33f8
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/snprintf.c
@@ -0,0 +1,53 @@
+/* gmp_snprintf -- formatted output to an fixed size buffer.
+
+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 <stdarg.h>
+#include <string.h>    /* for strlen */
+
+#include "gmp-impl.h"
+
+
+int
+gmp_snprintf (char *buf, size_t size, const char *fmt, ...)
+{
+  struct gmp_snprintf_t d;
+  va_list  ap;
+  int      ret;
+
+  va_start (ap, fmt);
+  d.buf = buf;
+  d.size = size;
+
+  ASSERT (! MEM_OVERLAP_P (buf, size, fmt, strlen(fmt)+1));
+
+  ret = __gmp_doprnt (&__gmp_snprintf_funs, &d, fmt, ap);
+  va_end (ap);
+  return ret;
+}
diff --git a/vendor/gmp-6.3.0/printf/snprntffuns.c b/vendor/gmp-6.3.0/printf/snprntffuns.c
new file mode 100644
index 0000000..885c7ab
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/snprntffuns.c
@@ -0,0 +1,157 @@
+/* __gmp_snprintf_funs -- support for gmp_snprintf and gmp_vsnprintf.
+
+   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 2001, 2002, 2018 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 <stdio.h>
+#include <string.h>
+
+#include "gmp-impl.h"
+
+
+#if ! HAVE_VSNPRINTF
+#define vsnprintf  __gmp_replacement_vsnprintf
+#endif
+
+
+/* glibc 2.0.x vsnprintf returns either -1 or size-1 for an overflow, with
+   no indication how big the output would have been.  It's necessary to
+   re-run to determine that size.
+
+   "size-1" would mean success from a C99 vsnprintf, and the re-run is
+   unnecessary in this case, but we don't bother to try to detect what sort
+   of vsnprintf we've got.  size-1 should occur rarely in normal
+   circumstances.
+
+   vsnprintf might trash it's given ap (it does for instance in glibc 2.1.3
+   on powerpc), so copy it in case we need to use it to probe for the size
+   output that would have been produced.  Note there's no need to preserve
+   it for our callers, just for ourselves.  */
+
+static int
+gmp_snprintf_format (struct gmp_snprintf_t *d, const char *fmt,
+                     va_list orig_ap)
+{
+  int      ret;
+  size_t   step, alloc, avail;
+  va_list  ap;
+  char     *p;
+
+  ASSERT (d->size >= 0);
+
+  avail = d->size;
+  if (avail > 1)
+    {
+      va_copy (ap, orig_ap);
+      ret = vsnprintf (d->buf, avail, fmt, ap);
+      if (ret == -1)
+        return ret;
+
+      step = MIN (ret, avail-1);
+      d->size -= step;
+      d->buf += step;
+
+      if (ret != avail-1)
+        return ret;
+
+      /* probably glibc 2.0.x truncated output, probe for actual size */
+      alloc = MAX (128, ret);
+    }
+  else
+    {
+      /* no space to write anything, just probe for size */
+      alloc = 128;
+    }
+
+  do
+    {
+      alloc *= 2;
+      p = __GMP_ALLOCATE_FUNC_TYPE (alloc, char);
+      va_copy (ap, orig_ap);
+      ret = vsnprintf (p, alloc, fmt, ap);
+      __GMP_FREE_FUNC_TYPE (p, alloc, char);
+    }
+  while (ret == alloc-1);
+
+  return ret;
+}
+
+static int
+gmp_snprintf_memory (struct gmp_snprintf_t *d, const char *str, size_t len)
+{
+  size_t n;
+
+  ASSERT (d->size >= 0);
+
+  if (d->size > 1)
+    {
+      n = MIN (d->size-1, len);
+      memcpy (d->buf, str, n);
+      d->buf += n;
+      d->size -= n;
+    }
+  return len;
+}
+
+static int
+gmp_snprintf_reps (struct gmp_snprintf_t *d, int c, int reps)
+{
+  size_t n;
+
+  ASSERT (reps >= 0);
+  ASSERT (d->size >= 0);
+
+  if (d->size > 1)
+    {
+      n = MIN (d->size-1, reps);
+      memset (d->buf, c, n);
+      d->buf += n;
+      d->size -= n;
+    }
+  return reps;
+}
+
+static int
+gmp_snprintf_final (struct gmp_snprintf_t *d)
+{
+  if (d->size >= 1)
+    d->buf[0] = '\0';
+  return 0;
+}
+
+const struct doprnt_funs_t  __gmp_snprintf_funs = {
+  (doprnt_format_t) gmp_snprintf_format,
+  (doprnt_memory_t) gmp_snprintf_memory,
+  (doprnt_reps_t)   gmp_snprintf_reps,
+  (doprnt_final_t)  gmp_snprintf_final
+};
diff --git a/vendor/gmp-6.3.0/printf/sprintf.c b/vendor/gmp-6.3.0/printf/sprintf.c
new file mode 100644
index 0000000..0952a53
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/sprintf.c
@@ -0,0 +1,54 @@
+/* gmp_sprintf -- formatted output to an unrestricted string.
+
+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 <stdarg.h>
+#include <string.h>    /* for strlen */
+
+#include "gmp-impl.h"
+
+
+int
+gmp_sprintf (char *buf, const char *fmt, ...)
+{
+#if WANT_ASSERT
+  int      fmtlen = strlen(fmt);
+#endif
+  va_list  ap;
+  int      ret;
+
+  va_start (ap, fmt);
+
+  ret = __gmp_doprnt (&__gmp_sprintf_funs, &buf, fmt, ap);
+  va_end (ap);
+
+  ASSERT (! MEM_OVERLAP_P (buf, strlen(buf)+1, fmt, fmtlen+1));
+
+  return ret;
+}
diff --git a/vendor/gmp-6.3.0/printf/sprintffuns.c b/vendor/gmp-6.3.0/printf/sprintffuns.c
new file mode 100644
index 0000000..6781f25
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/sprintffuns.c
@@ -0,0 +1,94 @@
+/* __gmp_sprintf_funs -- support for gmp_sprintf and gmp_vsprintf.
+
+   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 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 <stdarg.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "gmp-impl.h"
+
+
+/* The data parameter "bufp" points to a "char *buf" which is the next
+   character to be written, having started as the destination from the
+   application.  This is then increased each time output is produced.  */
+
+
+/* If vsprintf returns -1 then pass it upwards.  It doesn't matter that
+   "*bufp" is ruined in this case, since gmp_doprint will bail out
+   immediately anyway.  */
+static int
+gmp_sprintf_format (char **bufp, const char *fmt, va_list ap)
+{
+  char  *buf = *bufp;
+  int   ret;
+  vsprintf (buf, fmt, ap);
+  ret = strlen (buf);
+  *bufp = buf + ret;
+  return ret;
+}
+
+static int
+gmp_sprintf_memory (char **bufp, const char *str, size_t len)
+{
+  char  *buf = *bufp;
+  *bufp = buf + len;
+  memcpy (buf, str, len);
+  return len;
+}
+
+static int
+gmp_sprintf_reps (char **bufp, int c, int reps)
+{
+  char  *buf = *bufp;
+  ASSERT (reps >= 0);
+  *bufp = buf + reps;
+  memset (buf, c, reps);
+  return reps;
+}
+
+static int
+gmp_sprintf_final (char **bufp)
+{
+  char  *buf = *bufp;
+  *buf = '\0';
+  return 0;
+}
+
+const struct doprnt_funs_t  __gmp_sprintf_funs = {
+  (doprnt_format_t) gmp_sprintf_format,
+  (doprnt_memory_t) gmp_sprintf_memory,
+  (doprnt_reps_t)   gmp_sprintf_reps,
+  (doprnt_final_t)  gmp_sprintf_final
+};
diff --git a/vendor/gmp-6.3.0/printf/vasprintf.c b/vendor/gmp-6.3.0/printf/vasprintf.c
new file mode 100644
index 0000000..8a29a12
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/vasprintf.c
@@ -0,0 +1,116 @@
+/* gmp_vasprintf -- formatted output to an allocated space.
+
+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 <stdarg.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "gmp-impl.h"
+
+#if ! HAVE_VSNPRINTF
+#define vsnprintf  __gmp_replacement_vsnprintf
+#endif
+
+
+/* vasprintf isn't used since we prefer all GMP allocs to go through
+   __gmp_allocate_func, and in particular we don't want the -1 return from
+   vasprintf for out-of-memory, instead __gmp_allocate_func should handle
+   that.  Using vsnprintf unfortunately means we might have to re-run it if
+   our current space is insufficient.
+
+   The initial guess for the needed space is an arbitrary 256 bytes.  If
+   that (and any extra GMP_ASPRINTF_T_NEED might give) isn't enough then an
+   ISO C99 standard vsnprintf will tell us what we really need.
+
+   GLIBC 2.0.x vsnprintf returns either -1 or space-1 to indicate overflow,
+   without giving any indication how much is really needed.  In this case
+   keep trying with double the space each time.
+
+   A return of space-1 is success on a C99 vsnprintf, but we're not
+   bothering to identify which style vsnprintf we've got, so just take the
+   pessimistic option and assume it's glibc 2.0.x.
+
+   Notice the use of ret+2 for the new space in the C99 case.  This ensures
+   the next vsnprintf return value will be space-2, which is unambiguously
+   successful.  But actually GMP_ASPRINTF_T_NEED() will realloc to even
+   bigger than that ret+2.
+
+   vsnprintf might trash it's given ap, so copy it in case we need to use it
+   more than once.  See comments with gmp_snprintf_format.  */
+
+static int
+gmp_asprintf_format (struct gmp_asprintf_t *d, const char *fmt,
+                     va_list orig_ap)
+{
+  int      ret;
+  va_list  ap;
+  size_t   space = 256;
+
+  for (;;)
+    {
+      GMP_ASPRINTF_T_NEED (d, space);
+      space = d->alloc - d->size;
+      va_copy (ap, orig_ap);
+      ret = vsnprintf (d->buf + d->size, space, fmt, ap);
+      if (ret == -1)
+        {
+          ASSERT (strlen (d->buf + d->size) == space-1);
+          ret = space-1;
+        }
+
+      /* done if output fits in our space */
+      if (ret < space-1)
+        break;
+
+      if (ret == space-1)
+        space *= 2;     /* possible glibc 2.0.x, so double */
+      else
+        space = ret+2;  /* C99, so now know space required */
+    }
+
+  d->size += ret;
+  return ret;
+}
+
+const struct doprnt_funs_t  __gmp_asprintf_funs = {
+  (doprnt_format_t) gmp_asprintf_format,
+  (doprnt_memory_t) __gmp_asprintf_memory,
+  (doprnt_reps_t)   __gmp_asprintf_reps,
+  (doprnt_final_t)  __gmp_asprintf_final
+};
+
+int
+gmp_vasprintf (char **result, const char *fmt, va_list ap)
+{
+  struct gmp_asprintf_t  d;
+  GMP_ASPRINTF_T_INIT (d, result);
+  return __gmp_doprnt (&__gmp_asprintf_funs, &d, fmt, ap);
+}
diff --git a/vendor/gmp-6.3.0/printf/vfprintf.c b/vendor/gmp-6.3.0/printf/vfprintf.c
new file mode 100644
index 0000000..b2d1906
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/vfprintf.c
@@ -0,0 +1,41 @@
+/* gmp_vfprintf -- formatted output.
+
+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 <stdarg.h>
+#include <stdio.h>
+
+#include "gmp-impl.h"
+
+
+int
+gmp_vfprintf (FILE *fp, const char *fmt, va_list ap)
+{
+  return __gmp_doprnt (&__gmp_fprintf_funs, fp, fmt, ap);
+}
diff --git a/vendor/gmp-6.3.0/printf/vprintf.c b/vendor/gmp-6.3.0/printf/vprintf.c
new file mode 100644
index 0000000..60a2233
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/vprintf.c
@@ -0,0 +1,41 @@
+/* gmp_vprintf -- formatted output.
+
+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 <stdarg.h>
+#include <stdio.h>
+
+#include "gmp-impl.h"
+
+
+int
+gmp_vprintf (const char *fmt, va_list ap)
+{
+  return __gmp_doprnt (&__gmp_fprintf_funs, stdout, fmt, ap);
+}
diff --git a/vendor/gmp-6.3.0/printf/vsnprintf.c b/vendor/gmp-6.3.0/printf/vsnprintf.c
new file mode 100644
index 0000000..2432f5d
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/vsnprintf.c
@@ -0,0 +1,47 @@
+/* gmp_vsnprintf -- formatted output to an fixed size buffer.
+
+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 <stdarg.h>
+#include <string.h>    /* for strlen */
+
+#include "gmp-impl.h"
+
+
+int
+gmp_vsnprintf (char *buf, size_t size, const char *fmt, va_list ap)
+{
+  struct gmp_snprintf_t d;
+
+  ASSERT (! MEM_OVERLAP_P (buf, size, fmt, strlen(fmt)+1));
+
+  d.buf = buf;
+  d.size = size;
+  return __gmp_doprnt (&__gmp_snprintf_funs, &d, fmt, ap);
+}
diff --git a/vendor/gmp-6.3.0/printf/vsprintf.c b/vendor/gmp-6.3.0/printf/vsprintf.c
new file mode 100644
index 0000000..26de193
--- /dev/null
+++ b/vendor/gmp-6.3.0/printf/vsprintf.c
@@ -0,0 +1,50 @@
+/* gmp_vsprintf -- formatted output to an unrestricted string.
+
+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 <stdarg.h>
+#include <string.h>    /* for strlen */
+
+#include "gmp-impl.h"
+
+
+int
+gmp_vsprintf (char *buf, const char *fmt, va_list ap)
+{
+#if WANT_ASSERT
+  int  fmtlen = strlen(fmt);
+#endif
+  int  ret;
+
+  ret = __gmp_doprnt (&__gmp_sprintf_funs, &buf, fmt, ap);
+
+  ASSERT (! MEM_OVERLAP_P (buf, strlen(buf)+1, fmt, fmtlen+1));
+
+  return ret;
+}