Initial commit.

35 files changed, 3770 insertions, 0 deletions

diff --git a/gmp-6.3.0/mpq/Makefile b/gmp-6.3.0/mpq/Makefile
new file mode 100644
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--- /dev/null
+++ b/gmp-6.3.0/mpq/Makefile
@@ -0,0 +1,650 @@
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+# with or without modifications, as long as this notice is preserved.
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+# but WITHOUT ANY WARRANTY, to the extent permitted by law; without
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+#  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
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+mpn_objects =  add$U.lo add_1$U.lo add_n.lo sub$U.lo sub_1$U.lo sub_n.lo cnd_add_n.lo cnd_sub_n.lo cnd_swap$U.lo neg$U.lo com$U.lo mul_1.lo addmul_1.lo submul_1.lo add_err1_n$U.lo add_err2_n$U.lo add_err3_n$U.lo sub_err1_n$U.lo sub_err2_n$U.lo sub_err3_n$U.lo lshift.lo rshift.lo dive_1.lo diveby3$U.lo divis$U.lo divrem$U.lo divrem_1.lo divrem_2.lo fib2_ui$U.lo fib2m$U.lo mod_1$U.lo mod_34lsub1.lo mode1o.lo pre_mod_1$U.lo dump$U.lo mod_1_1.lo mod_1_2$U.lo mod_1_3$U.lo mod_1_4.lo lshiftc$U.lo mul$U.lo mul_fft$U.lo mul_n$U.lo sqr$U.lo mul_basecase.lo sqr_basecase.lo nussbaumer_mul$U.lo mulmid_basecase$U.lo toom42_mulmid$U.lo mulmid_n$U.lo mulmid$U.lo random$U.lo random2$U.lo pow_1$U.lo rootrem$U.lo sqrtrem$U.lo sizeinbase$U.lo get_str$U.lo set_str$U.lo compute_powtab$U.lo scan0$U.lo scan1$U.lo popcount.lo hamdist.lo cmp$U.lo zero_p$U.lo perfsqr$U.lo perfpow$U.lo strongfibo$U.lo gcd_11.lo gcd_22$U.lo gcd_1$U.lo gcd$U.lo gcdext_1$U.lo gcdext$U.lo gcd_subdiv_step$U.lo gcdext_lehmer$U.lo div_q$U.lo tdiv_qr$U.lo jacbase$U.lo jacobi_2$U.lo jacobi$U.lo get_d$U.lo matrix22_mul$U.lo matrix22_mul1_inverse_vector$U.lo hgcd_matrix$U.lo hgcd2$U.lo hgcd_step$U.lo hgcd_reduce$U.lo hgcd$U.lo hgcd_appr$U.lo hgcd2_jacobi$U.lo hgcd_jacobi$U.lo mullo_n$U.lo mullo_basecase$U.lo sqrlo$U.lo sqrlo_basecase$U.lo toom22_mul$U.lo toom32_mul$U.lo toom42_mul$U.lo toom52_mul$U.lo toom62_mul$U.lo toom33_mul$U.lo toom43_mul$U.lo toom53_mul$U.lo toom54_mul$U.lo toom63_mul$U.lo toom44_mul$U.lo toom6h_mul$U.lo toom6_sqr$U.lo toom8h_mul$U.lo toom8_sqr$U.lo toom_couple_handling$U.lo toom2_sqr$U.lo toom3_sqr$U.lo toom4_sqr$U.lo toom_eval_dgr3_pm1$U.lo toom_eval_dgr3_pm2$U.lo toom_eval_pm1$U.lo toom_eval_pm2$U.lo toom_eval_pm2exp$U.lo toom_eval_pm2rexp$U.lo toom_interpolate_5pts$U.lo toom_interpolate_6pts$U.lo toom_interpolate_7pts$U.lo toom_interpolate_8pts$U.lo toom_interpolate_12pts$U.lo toom_interpolate_16pts$U.lo invertappr$U.lo invert$U.lo binvert$U.lo mulmod_bnm1$U.lo sqrmod_bnm1$U.lo mulmod_bknp1$U.lo div_qr_1$U.lo div_qr_1n_pi1$U.lo div_qr_2$U.lo div_qr_2n_pi1$U.lo div_qr_2u_pi1$U.lo sbpi1_div_q$U.lo sbpi1_div_qr$U.lo sbpi1_divappr_q$U.lo dcpi1_div_q$U.lo dcpi1_div_qr$U.lo dcpi1_divappr_q$U.lo mu_div_qr$U.lo mu_divappr_q$U.lo mu_div_q$U.lo bdiv_q_1.lo sbpi1_bdiv_q$U.lo sbpi1_bdiv_qr$U.lo sbpi1_bdiv_r$U.lo dcpi1_bdiv_q$U.lo dcpi1_bdiv_qr$U.lo mu_bdiv_q$U.lo mu_bdiv_qr$U.lo bdiv_q$U.lo bdiv_qr$U.lo broot$U.lo brootinv$U.lo bsqrt$U.lo bsqrtinv$U.lo divexact$U.lo bdiv_dbm1c.lo redc_1$U.lo redc_2$U.lo redc_n$U.lo powm$U.lo powlo$U.lo sec_powm$U.lo sec_mul$U.lo sec_sqr$U.lo sec_div_qr$U.lo sec_div_r$U.lo sec_pi1_div_qr$U.lo sec_pi1_div_r$U.lo sec_add_1$U.lo sec_sub_1$U.lo sec_invert$U.lo trialdiv$U.lo remove$U.lo and_n$U.lo andn_n$U.lo nand_n$U.lo ior_n$U.lo iorn_n$U.lo nior_n$U.lo xor_n$U.lo xnor_n$U.lo copyi.lo copyd.lo zero$U.lo sec_tabselect.lo comb_tables$U.lo umul.lo udiv.lo add_n_sub_n$U.lo
+mpn_objs_in_libgmp =  mpn/add$U.lo mpn/add_1$U.lo mpn/add_n.lo mpn/sub$U.lo mpn/sub_1$U.lo mpn/sub_n.lo mpn/cnd_add_n.lo mpn/cnd_sub_n.lo mpn/cnd_swap$U.lo mpn/neg$U.lo mpn/com$U.lo mpn/mul_1.lo mpn/addmul_1.lo mpn/submul_1.lo mpn/add_err1_n$U.lo mpn/add_err2_n$U.lo mpn/add_err3_n$U.lo mpn/sub_err1_n$U.lo mpn/sub_err2_n$U.lo mpn/sub_err3_n$U.lo mpn/lshift.lo mpn/rshift.lo mpn/dive_1.lo mpn/diveby3$U.lo mpn/divis$U.lo mpn/divrem$U.lo mpn/divrem_1.lo mpn/divrem_2.lo mpn/fib2_ui$U.lo mpn/fib2m$U.lo mpn/mod_1$U.lo mpn/mod_34lsub1.lo mpn/mode1o.lo mpn/pre_mod_1$U.lo mpn/dump$U.lo mpn/mod_1_1.lo mpn/mod_1_2$U.lo mpn/mod_1_3$U.lo mpn/mod_1_4.lo mpn/lshiftc$U.lo mpn/mul$U.lo mpn/mul_fft$U.lo mpn/mul_n$U.lo mpn/sqr$U.lo mpn/mul_basecase.lo mpn/sqr_basecase.lo mpn/nussbaumer_mul$U.lo mpn/mulmid_basecase$U.lo mpn/toom42_mulmid$U.lo mpn/mulmid_n$U.lo mpn/mulmid$U.lo mpn/random$U.lo mpn/random2$U.lo mpn/pow_1$U.lo mpn/rootrem$U.lo mpn/sqrtrem$U.lo mpn/sizeinbase$U.lo mpn/get_str$U.lo mpn/set_str$U.lo mpn/compute_powtab$U.lo mpn/scan0$U.lo mpn/scan1$U.lo mpn/popcount.lo mpn/hamdist.lo mpn/cmp$U.lo mpn/zero_p$U.lo mpn/perfsqr$U.lo mpn/perfpow$U.lo mpn/strongfibo$U.lo mpn/gcd_11.lo mpn/gcd_22$U.lo mpn/gcd_1$U.lo mpn/gcd$U.lo mpn/gcdext_1$U.lo mpn/gcdext$U.lo mpn/gcd_subdiv_step$U.lo mpn/gcdext_lehmer$U.lo mpn/div_q$U.lo mpn/tdiv_qr$U.lo mpn/jacbase$U.lo mpn/jacobi_2$U.lo mpn/jacobi$U.lo mpn/get_d$U.lo mpn/matrix22_mul$U.lo mpn/matrix22_mul1_inverse_vector$U.lo mpn/hgcd_matrix$U.lo mpn/hgcd2$U.lo mpn/hgcd_step$U.lo mpn/hgcd_reduce$U.lo mpn/hgcd$U.lo mpn/hgcd_appr$U.lo mpn/hgcd2_jacobi$U.lo mpn/hgcd_jacobi$U.lo mpn/mullo_n$U.lo mpn/mullo_basecase$U.lo mpn/sqrlo$U.lo mpn/sqrlo_basecase$U.lo mpn/toom22_mul$U.lo mpn/toom32_mul$U.lo mpn/toom42_mul$U.lo mpn/toom52_mul$U.lo mpn/toom62_mul$U.lo mpn/toom33_mul$U.lo mpn/toom43_mul$U.lo mpn/toom53_mul$U.lo mpn/toom54_mul$U.lo mpn/toom63_mul$U.lo mpn/toom44_mul$U.lo mpn/toom6h_mul$U.lo mpn/toom6_sqr$U.lo mpn/toom8h_mul$U.lo mpn/toom8_sqr$U.lo mpn/toom_couple_handling$U.lo mpn/toom2_sqr$U.lo mpn/toom3_sqr$U.lo mpn/toom4_sqr$U.lo mpn/toom_eval_dgr3_pm1$U.lo mpn/toom_eval_dgr3_pm2$U.lo mpn/toom_eval_pm1$U.lo mpn/toom_eval_pm2$U.lo mpn/toom_eval_pm2exp$U.lo mpn/toom_eval_pm2rexp$U.lo mpn/toom_interpolate_5pts$U.lo mpn/toom_interpolate_6pts$U.lo mpn/toom_interpolate_7pts$U.lo mpn/toom_interpolate_8pts$U.lo mpn/toom_interpolate_12pts$U.lo mpn/toom_interpolate_16pts$U.lo mpn/invertappr$U.lo mpn/invert$U.lo mpn/binvert$U.lo mpn/mulmod_bnm1$U.lo mpn/sqrmod_bnm1$U.lo mpn/mulmod_bknp1$U.lo mpn/div_qr_1$U.lo mpn/div_qr_1n_pi1$U.lo mpn/div_qr_2$U.lo mpn/div_qr_2n_pi1$U.lo mpn/div_qr_2u_pi1$U.lo mpn/sbpi1_div_q$U.lo mpn/sbpi1_div_qr$U.lo mpn/sbpi1_divappr_q$U.lo mpn/dcpi1_div_q$U.lo mpn/dcpi1_div_qr$U.lo mpn/dcpi1_divappr_q$U.lo mpn/mu_div_qr$U.lo mpn/mu_divappr_q$U.lo mpn/mu_div_q$U.lo mpn/bdiv_q_1.lo mpn/sbpi1_bdiv_q$U.lo mpn/sbpi1_bdiv_qr$U.lo mpn/sbpi1_bdiv_r$U.lo mpn/dcpi1_bdiv_q$U.lo mpn/dcpi1_bdiv_qr$U.lo mpn/mu_bdiv_q$U.lo mpn/mu_bdiv_qr$U.lo mpn/bdiv_q$U.lo mpn/bdiv_qr$U.lo mpn/broot$U.lo mpn/brootinv$U.lo mpn/bsqrt$U.lo mpn/bsqrtinv$U.lo mpn/divexact$U.lo mpn/bdiv_dbm1c.lo mpn/redc_1$U.lo mpn/redc_2$U.lo mpn/redc_n$U.lo mpn/powm$U.lo mpn/powlo$U.lo mpn/sec_powm$U.lo mpn/sec_mul$U.lo mpn/sec_sqr$U.lo mpn/sec_div_qr$U.lo mpn/sec_div_r$U.lo mpn/sec_pi1_div_qr$U.lo mpn/sec_pi1_div_r$U.lo mpn/sec_add_1$U.lo mpn/sec_sub_1$U.lo mpn/sec_invert$U.lo mpn/trialdiv$U.lo mpn/remove$U.lo mpn/and_n$U.lo mpn/andn_n$U.lo mpn/nand_n$U.lo mpn/ior_n$U.lo mpn/iorn_n$U.lo mpn/nior_n$U.lo mpn/xor_n$U.lo mpn/xnor_n$U.lo mpn/copyi.lo mpn/copyd.lo mpn/zero$U.lo mpn/sec_tabselect.lo mpn/comb_tables$U.lo mpn/umul.lo mpn/udiv.lo mpn/add_n_sub_n$U.lo
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+  cmp.c cmp_si.c cmp_ui.c div.c equal.c					\
+  get_d.c get_den.c get_num.c get_str.c					\
+  init.c inits.c inp_str.c inv.c md_2exp.c mul.c neg.c out_str.c	\
+  set.c set_den.c set_num.c set_si.c set_str.c set_ui.c set_z.c set_d.c	\
+  set_f.c swap.c
+
+all: all-am
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+	test -z "$$locs" || { \
+	  echo rm -f $${locs}; \
+	  rm -f $${locs}; \
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+
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+	  if test $$# -gt 0; then \
+	    $(ETAGS) $(ETAGSFLAGS) $(AM_ETAGSFLAGS) $(ETAGS_ARGS) \
+	      "$$@" $$unique; \
+	  else \
+	    $(ETAGS) $(ETAGSFLAGS) $(AM_ETAGSFLAGS) $(ETAGS_ARGS) \
+	      $$unique; \
+	  fi; \
+	fi
+ctags: ctags-am
+
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+ctags-am: $(TAGS_DEPENDENCIES) $(am__tagged_files)
+	$(am__define_uniq_tagged_files); \
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+	  if test -f "$$i"; then \
+	    echo "$(subdir)/$$i"; \
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+mostlyclean-generic:
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diff --git a/gmp-6.3.0/mpq/Makefile.am b/gmp-6.3.0/mpq/Makefile.am
new file mode 100644
index 0000000..6d65774
--- /dev/null
+++ b/gmp-6.3.0/mpq/Makefile.am
@@ -0,0 +1,41 @@
+## Process this file with automake to generate Makefile.in
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+# Copyright 1996, 1998, 2000-2002 Free Software Foundation, Inc.
+#
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index 0000000..0a74ca3
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+	  sed -e "s|^$$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/gmp-6.3.0/mpq/abs.c b/gmp-6.3.0/mpq/abs.c
new file mode 100644
index 0000000..1f0bf13
--- /dev/null
+++ b/gmp-6.3.0/mpq/abs.c
@@ -0,0 +1,55 @@
+/* mpq_abs -- absolute value of a rational.
+
+Copyright 2000, 2001, 2012 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 __GMP_FORCE_mpq_abs 1
+
+#include "gmp-impl.h"
+
+
+void
+mpq_abs (mpq_ptr dst, mpq_srcptr src)
+{
+  mp_size_t  num_abs_size = ABSIZ(NUM(src));
+
+  if (dst != src)
+    {
+      mp_size_t  den_size = SIZ(DEN(src));
+      mp_ptr dp;
+
+      dp = MPZ_NEWALLOC (NUM(dst), num_abs_size);
+      MPN_COPY (dp, PTR(NUM(src)), num_abs_size);
+
+      dp = MPZ_NEWALLOC (DEN(dst), den_size);
+      SIZ(DEN(dst)) = den_size;
+      MPN_COPY (dp, PTR(DEN(src)), den_size);
+    }
+
+  SIZ(NUM(dst)) = num_abs_size;
+}
diff --git a/gmp-6.3.0/mpq/aors.c b/gmp-6.3.0/mpq/aors.c
new file mode 100644
index 0000000..e86af94
--- /dev/null
+++ b/gmp-6.3.0/mpq/aors.c
@@ -0,0 +1,112 @@
+/* mpq_add, mpq_sub -- add or subtract rational numbers.
+
+Copyright 1991, 1994-1997, 2000, 2001, 2004, 2005 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"
+
+
+static void __gmpq_aors (REGPARM_3_1 (mpq_ptr, mpq_srcptr, mpq_srcptr, void (*) (mpz_ptr, mpz_srcptr, mpz_srcptr))) REGPARM_ATTR (1);
+#define mpq_aors(w,x,y,fun)  __gmpq_aors (REGPARM_3_1 (w, x, y, fun))
+
+REGPARM_ATTR (1) static void
+mpq_aors (mpq_ptr rop, mpq_srcptr op1, mpq_srcptr op2,
+          void (*fun) (mpz_ptr, mpz_srcptr, mpz_srcptr))
+{
+  mpz_t gcd;
+  mpz_t tmp1, tmp2;
+  mp_size_t op1_num_size = ABSIZ(NUM(op1));
+  mp_size_t op1_den_size =   SIZ(DEN(op1));
+  mp_size_t op2_num_size = ABSIZ(NUM(op2));
+  mp_size_t op2_den_size =   SIZ(DEN(op2));
+  TMP_DECL;
+
+  TMP_MARK;
+  MPZ_TMP_INIT (gcd, MIN (op1_den_size, op2_den_size));
+  MPZ_TMP_INIT (tmp1, op1_num_size + op2_den_size);
+  MPZ_TMP_INIT (tmp2, op2_num_size + op1_den_size);
+
+  /* ROP might be identical to either operand, so don't store the
+     result there until we are finished with the input operands.  We
+     dare to overwrite the numerator of ROP when we are finished
+     with the numerators of OP1 and OP2.  */
+
+  mpz_gcd (gcd, DEN(op1), DEN(op2));
+  if (! MPZ_EQUAL_1_P (gcd))
+    {
+      mpz_t t;
+
+      MPZ_TMP_INIT (t, MAX (op1_num_size + op2_den_size,
+	     op2_num_size + op1_den_size) + 2 - SIZ(gcd));
+
+      mpz_divexact_gcd (t, DEN(op2), gcd);
+      mpz_divexact_gcd (tmp2, DEN(op1), gcd);
+
+      mpz_mul (tmp1, NUM(op1), t);
+      mpz_mul (t, NUM(op2), tmp2);
+
+      (*fun) (t, tmp1, t);
+
+      mpz_gcd (gcd, t, gcd);
+      if (MPZ_EQUAL_1_P (gcd))
+        {
+          mpz_set (NUM(rop), t);
+          mpz_mul (DEN(rop), DEN(op2), tmp2);
+        }
+      else
+        {
+          mpz_divexact_gcd (NUM(rop), t, gcd);
+          mpz_divexact_gcd (tmp1, DEN(op2), gcd);
+          mpz_mul (DEN(rop), tmp1, tmp2);
+        }
+    }
+  else
+    {
+      /* The common divisor is 1.  This is the case (for random input) with
+	 probability 6/(pi**2), which is about 60.8%.  */
+      mpz_mul (tmp1, NUM(op1), DEN(op2));
+      mpz_mul (tmp2, NUM(op2), DEN(op1));
+      (*fun) (NUM(rop), tmp1, tmp2);
+      mpz_mul (DEN(rop), DEN(op1), DEN(op2));
+    }
+  TMP_FREE;
+}
+
+
+void
+mpq_add (mpq_ptr rop, mpq_srcptr op1, mpq_srcptr op2)
+{
+  mpq_aors (rop, op1, op2, mpz_add);
+}
+
+void
+mpq_sub (mpq_ptr rop, mpq_srcptr op1, mpq_srcptr op2)
+{
+  mpq_aors (rop, op1, op2, mpz_sub);
+}
diff --git a/gmp-6.3.0/mpq/canonicalize.c b/gmp-6.3.0/mpq/canonicalize.c
new file mode 100644
index 0000000..7ac2331
--- /dev/null
+++ b/gmp-6.3.0/mpq/canonicalize.c
@@ -0,0 +1,61 @@
+/* mpq_canonicalize(op) -- Remove common factors of the denominator and
+   numerator in OP.
+
+Copyright 1991, 1994-1996, 2000, 2001, 2005, 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"
+
+void
+mpq_canonicalize (mpq_ptr op)
+{
+  mpz_t gcd;
+  TMP_DECL;
+
+  if (SIZ(DEN(op)) < 0)
+    {
+      SIZ(NUM(op)) = -SIZ(NUM(op));
+      SIZ(DEN(op)) = -SIZ(DEN(op));
+    }
+  else if (UNLIKELY (SIZ(DEN(op)) == 0))
+    DIVIDE_BY_ZERO;
+
+  TMP_MARK;
+
+  /* ??? Dunno if the 1+ is needed.  */
+  MPZ_TMP_INIT (gcd, 1 + MAX (ABSIZ(NUM(op)),
+			      SIZ(DEN(op))));
+
+  mpz_gcd (gcd, NUM(op), DEN(op));
+  if (! MPZ_EQUAL_1_P (gcd))
+    {
+      mpz_divexact_gcd (NUM(op), NUM(op), gcd);
+      mpz_divexact_gcd (DEN(op), DEN(op), gcd);
+    }
+  TMP_FREE;
+}
diff --git a/gmp-6.3.0/mpq/clear.c b/gmp-6.3.0/mpq/clear.c
new file mode 100644
index 0000000..60beb51
--- /dev/null
+++ b/gmp-6.3.0/mpq/clear.c
@@ -0,0 +1,41 @@
+/* mpq_clear -- free the space occupied by an mpq_t.
+
+Copyright 1991, 1994, 1995, 2000, 2001, 2015, 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 "gmp-impl.h"
+
+void
+mpq_clear (mpq_ptr x)
+{
+  if (ALLOC (NUM(x)))
+    __GMP_FREE_FUNC_LIMBS (PTR(NUM(x)), ALLOC(NUM(x)));
+  if (ALLOC (DEN(x)))
+    __GMP_FREE_FUNC_LIMBS (PTR(DEN(x)), ALLOC(DEN(x)));
+}
diff --git a/gmp-6.3.0/mpq/clears.c b/gmp-6.3.0/mpq/clears.c
new file mode 100644
index 0000000..68c6ad3
--- /dev/null
+++ b/gmp-6.3.0/mpq/clears.c
@@ -0,0 +1,52 @@
+/* mpq_clears() -- Clear multiple mpq_t variables.
+
+Copyright 2009, 2014, 2015, 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 "gmp-impl.h"
+
+void
+mpq_clears (mpq_ptr x, ...)
+{
+  va_list  ap;
+
+  va_start (ap, x);
+
+  do
+    {
+      if (ALLOC (NUM(x)))
+	__GMP_FREE_FUNC_LIMBS (PTR(NUM(x)), ALLOC(NUM(x)));
+      if (ALLOC (DEN(x)))
+	__GMP_FREE_FUNC_LIMBS (PTR(DEN(x)), ALLOC(DEN(x)));
+      x = va_arg (ap, mpq_ptr);
+    }
+  while (x != NULL);
+
+  va_end (ap);
+}
diff --git a/gmp-6.3.0/mpq/cmp.c b/gmp-6.3.0/mpq/cmp.c
new file mode 100644
index 0000000..495e77e
--- /dev/null
+++ b/gmp-6.3.0/mpq/cmp.c
@@ -0,0 +1,169 @@
+/* mpq_cmp(u,v) -- Compare U, V.  Return positive, zero, or negative
+   based on if U > V, U == V, or U < V.
+
+Copyright 1991, 1994, 1996, 2001, 2002, 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"
+#include "longlong.h"
+
+static int
+mpq_cmp_numden (mpq_srcptr op1, mpz_srcptr num_op2, mpz_srcptr den_op2)
+{
+  mp_size_t num1_size = SIZ(NUM(op1));
+  mp_size_t den1_size = SIZ(DEN(op1));
+  mp_size_t num2_size = SIZ(num_op2);
+  mp_size_t den2_size = SIZ(den_op2);
+  int op2_is_int;
+  mp_limb_t d1h, d2h;
+  mp_size_t tmp1_size, tmp2_size;
+  mp_ptr tmp1_ptr, tmp2_ptr;
+  mp_size_t num1_sign;
+  int cc;
+  TMP_DECL;
+
+  /* need canonical signs to get right result */
+  ASSERT (den1_size > 0);
+  ASSERT (den2_size > 0);
+
+  if (num1_size == 0)
+    return -num2_size;
+  if (num2_size == 0)
+    return num1_size;
+  if ((num1_size ^ num2_size) < 0) /* I.e. are the signs different? */
+    return num1_size;
+
+  num1_sign = num1_size;
+  num1_size = ABS (num1_size);
+
+  /* THINK: Does storing d1h and d2h make sense? */
+  d1h = PTR(DEN(op1))[den1_size - 1];
+  d2h = PTR(den_op2)[den2_size - 1];
+  op2_is_int = (den2_size | d2h) == 1;
+  if ((unsigned) op2_is_int == (den1_size | d1h)) /* Both ops are integers */
+    /* return mpz_cmp (NUM (op1), num_op2); */
+    {
+      int cmp;
+
+      /* Cannot use num1_sign - num2_size, may overflow an "int" */
+      if (num1_sign != num2_size)
+	return (num1_sign > num2_size) ? 1 : -1;
+
+      cmp = mpn_cmp (PTR(NUM(op1)), PTR(num_op2), num1_size);
+      return (num1_sign > 0 ? cmp : -cmp);
+    }
+
+  num2_size = ABS (num2_size);
+
+  tmp1_size = num1_size + den2_size;
+  tmp2_size = num2_size + den1_size;
+
+  /* 1. Check to see if we can tell which operand is larger by just looking at
+     the number of limbs.  */
+
+  /* NUM1 x DEN2 is either TMP1_SIZE limbs or TMP1_SIZE-1 limbs.
+     Same for NUM1 x DEN1 with respect to TMP2_SIZE.  */
+  if (tmp1_size > tmp2_size + 1)
+    /* NUM1 x DEN2 is surely larger in magnitude than NUM2 x DEN1.  */
+    return num1_sign;
+  if (tmp2_size + op2_is_int > tmp1_size + 1)
+    /* NUM1 x DEN2 is surely smaller in magnitude than NUM2 x DEN1.  */
+    return -num1_sign;
+
+  /* 2. Same, but compare the number of significant bits.  */
+  {
+    int cnt1, cnt2;
+    mp_bitcnt_t bits1, bits2;
+
+    count_leading_zeros (cnt1, PTR(NUM(op1))[num1_size - 1]);
+    count_leading_zeros (cnt2, d2h);
+    bits1 = (mp_bitcnt_t) tmp1_size * GMP_NUMB_BITS - cnt1 - cnt2 + 2 * GMP_NAIL_BITS;
+
+    count_leading_zeros (cnt1, PTR(num_op2)[num2_size - 1]);
+    count_leading_zeros (cnt2, d1h);
+    bits2 = (mp_bitcnt_t) tmp2_size * GMP_NUMB_BITS - cnt1 - cnt2 + 2 * GMP_NAIL_BITS;
+
+    if (bits1 > bits2 + 1)
+      return num1_sign;
+    if (bits2 + op2_is_int > bits1 + 1)
+      return -num1_sign;
+  }
+
+  /* 3. Finally, cross multiply and compare.  */
+
+  TMP_MARK;
+  if (op2_is_int)
+    {
+      tmp2_ptr = TMP_ALLOC_LIMBS (tmp2_size);
+      tmp1_ptr = PTR(NUM(op1));
+      --tmp1_size;
+    }
+  else
+    {
+  TMP_ALLOC_LIMBS_2 (tmp1_ptr,tmp1_size, tmp2_ptr,tmp2_size);
+
+  if (num1_size >= den2_size)
+    tmp1_size -= 0 == mpn_mul (tmp1_ptr,
+			       PTR(NUM(op1)), num1_size,
+			       PTR(den_op2), den2_size);
+  else
+    tmp1_size -= 0 == mpn_mul (tmp1_ptr,
+			       PTR(den_op2), den2_size,
+			       PTR(NUM(op1)), num1_size);
+    }
+
+   if (num2_size >= den1_size)
+     tmp2_size -= 0 == mpn_mul (tmp2_ptr,
+				PTR(num_op2), num2_size,
+				PTR(DEN(op1)), den1_size);
+   else
+     tmp2_size -= 0 == mpn_mul (tmp2_ptr,
+				PTR(DEN(op1)), den1_size,
+				PTR(num_op2), num2_size);
+
+
+  cc = tmp1_size - tmp2_size != 0
+    ? tmp1_size - tmp2_size : mpn_cmp (tmp1_ptr, tmp2_ptr, tmp1_size);
+  TMP_FREE;
+  return num1_sign < 0 ? -cc : cc;
+}
+
+int
+mpq_cmp (mpq_srcptr op1, mpq_srcptr op2)
+{
+  return mpq_cmp_numden (op1, NUM(op2), DEN(op2));
+}
+
+int
+mpq_cmp_z (mpq_srcptr op1, mpz_srcptr op2)
+{
+  const static mp_limb_t one = 1;
+  const static mpz_t den = MPZ_ROINIT_N ((mp_limb_t *) &one, 1);
+
+  return mpq_cmp_numden (op1, op2, den);
+}
diff --git a/gmp-6.3.0/mpq/cmp_si.c b/gmp-6.3.0/mpq/cmp_si.c
new file mode 100644
index 0000000..faf472c
--- /dev/null
+++ b/gmp-6.3.0/mpq/cmp_si.c
@@ -0,0 +1,60 @@
+/* _mpq_cmp_si -- compare mpq and long/ulong fraction.
+
+Copyright 2001, 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"
+
+
+/* Something like mpq_cmpabs_ui would be more useful for the neg/neg case,
+   and perhaps a version accepting a parameter to reverse the test, to make
+   it a tail call here.  */
+
+int
+_mpq_cmp_si (mpq_srcptr q, long n, unsigned long d)
+{
+  /* need canonical sign to get right result */
+  ASSERT (SIZ(DEN(q)) > 0);
+
+  if (n >= 0)
+    return _mpq_cmp_ui (q, n, d);
+  if (SIZ(NUM(q)) >= 0)
+    {
+      return 1;                                /* >=0 cmp <0 */
+    }
+  else
+    {
+      mpq_t  qabs;
+      SIZ(NUM(qabs)) = -SIZ(NUM(q));
+      PTR(NUM(qabs)) = PTR(NUM(q));
+      SIZ(DEN(qabs)) = SIZ(DEN(q));
+      PTR(DEN(qabs)) = PTR(DEN(q));
+
+      return - _mpq_cmp_ui (qabs, NEG_CAST (unsigned long, n), d);    /* <0 cmp <0 */
+    }
+}
diff --git a/gmp-6.3.0/mpq/cmp_ui.c b/gmp-6.3.0/mpq/cmp_ui.c
new file mode 100644
index 0000000..9d99a9a
--- /dev/null
+++ b/gmp-6.3.0/mpq/cmp_ui.c
@@ -0,0 +1,99 @@
+/* mpq_cmp_ui(u,vn,vd) -- Compare U with Vn/Vd.  Return positive, zero, or
+   negative based on if U > V, U == V, or U < V.  Vn and Vd may have
+   common factors.
+
+Copyright 1993, 1994, 1996, 2000-2003, 2005, 2014, 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 "gmp-impl.h"
+
+int
+_mpq_cmp_ui (mpq_srcptr op1, unsigned long int num2, unsigned long int den2)
+{
+  mp_size_t num1_size = SIZ(NUM(op1));
+  mp_size_t den1_size = SIZ(DEN(op1));
+  mp_size_t tmp1_size, tmp2_size;
+  mp_ptr tmp1_ptr, tmp2_ptr;
+  mp_limb_t cy_limb;
+  int cc;
+  TMP_DECL;
+
+#if GMP_NAIL_BITS != 0
+  if ((num2 | den2) > GMP_NUMB_MAX)
+    {
+      mpq_t op2;
+      mpq_init (op2);
+      mpz_set_ui (mpq_numref (op2), num2);
+      mpz_set_ui (mpq_denref (op2), den2);
+      cc = mpq_cmp (op1, op2);
+      mpq_clear (op2);
+      return cc;
+    }
+#endif
+
+  /* need canonical sign to get right result */
+  ASSERT (den1_size > 0);
+
+  if (UNLIKELY (den2 == 0))
+    DIVIDE_BY_ZERO;
+
+  if (num2 == 0)
+    return num1_size;
+  if (num1_size <= 0)
+    return -1;
+
+  /* NUM1 x DEN2 is either TMP1_SIZE limbs or TMP1_SIZE-1 limbs.
+     Same for NUM2 x DEN1 with respect to TMP2_SIZE.  */
+  /* If frac2 <= 1 (i.e. num2 <= den2), shortcut with a simpler
+     condition: num1 > den1. Here we only test sizes. */
+  if (num1_size > den1_size + (num2 > den2))
+    /* NUM1 x DEN2 is surely larger in magnitude than NUM2 x DEN1.  */
+    return num1_size;
+  if (den1_size > num1_size + (den2 > num2))
+    /* NUM1 x DEN2 is surely smaller in magnitude than NUM2 x DEN1.  */
+    return -num1_size;
+
+  TMP_MARK;
+  TMP_ALLOC_LIMBS_2 (tmp1_ptr, num1_size + 1, tmp2_ptr, den1_size + 1);
+
+  cy_limb = mpn_mul_1 (tmp1_ptr, PTR(NUM(op1)), num1_size,
+                       (mp_limb_t) den2);
+  tmp1_ptr[num1_size] = cy_limb;
+  tmp1_size = num1_size + (cy_limb != 0);
+
+  cy_limb = mpn_mul_1 (tmp2_ptr, PTR(DEN(op1)), den1_size,
+                       (mp_limb_t) num2);
+  tmp2_ptr[den1_size] = cy_limb;
+  tmp2_size = den1_size + (cy_limb != 0);
+
+  cc = tmp1_size - tmp2_size;
+  cc = cc != 0 ? cc : mpn_cmp (tmp1_ptr, tmp2_ptr, tmp1_size);
+  TMP_FREE;
+  return cc;
+}
diff --git a/gmp-6.3.0/mpq/div.c b/gmp-6.3.0/mpq/div.c
new file mode 100644
index 0000000..3bd9726
--- /dev/null
+++ b/gmp-6.3.0/mpq/div.c
@@ -0,0 +1,133 @@
+/* mpq_div -- divide two rational numbers.
+
+Copyright 1991, 1994-1996, 2000, 2001, 2015, 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 "gmp-impl.h"
+
+
+void
+mpq_div (mpq_ptr quot, mpq_srcptr op1, mpq_srcptr op2)
+{
+  mpz_t gcd1, gcd2;
+  mpz_t tmp1, tmp2;
+  mp_size_t op1_size;
+  mp_size_t op2_size;
+  mp_size_t alloc;
+  TMP_DECL;
+
+  op2_size = SIZ(NUM(op2));
+
+  if (UNLIKELY (op2_size == 0))
+    DIVIDE_BY_ZERO;
+
+  if (UNLIKELY (quot == op2))
+    {
+      if (UNLIKELY (op1 == op2))
+	{
+	  mpq_set_ui (quot, 1, 1);
+	  return;
+	}
+
+      /* We checked for op1 == op2: we are not in the x=x/x case.
+	 We compute x=y/x by computing x=inv(x)*y */
+      MPN_PTR_SWAP (PTR(NUM(quot)), ALLOC(NUM(quot)),
+		    PTR(DEN(quot)), ALLOC(DEN(quot)));
+      if (op2_size > 0)
+	{
+	  SIZ(NUM(quot)) = SIZ(DEN(quot));
+	  SIZ(DEN(quot)) = op2_size;
+	}
+      else
+	{
+	  SIZ(NUM(quot)) = - SIZ(DEN(quot));
+	  SIZ(DEN(quot)) = - op2_size;
+	}
+      mpq_mul (quot, quot, op1);
+      return;
+    }
+
+  op1_size = ABSIZ(NUM(op1));
+
+  if (op1_size == 0)
+    {
+      /* We special case this to simplify allocation logic; gcd(0,x) = x
+	 is a singular case for the allocations.  */
+      SIZ(NUM(quot)) = 0;
+      MPZ_NEWALLOC (DEN(quot), 1)[0] = 1;
+      SIZ(DEN(quot)) = 1;
+      return;
+    }
+
+  op2_size = ABS(op2_size);
+
+  TMP_MARK;
+
+  alloc = MIN (op1_size, op2_size);
+  MPZ_TMP_INIT (gcd1, alloc);
+
+  alloc = MAX (op1_size, op2_size);
+  MPZ_TMP_INIT (tmp1, alloc);
+
+  op2_size = SIZ(DEN(op2));
+  op1_size = SIZ(DEN(op1));
+
+  alloc = MIN (op1_size, op2_size);
+  MPZ_TMP_INIT (gcd2, alloc);
+
+  alloc = MAX (op1_size, op2_size);
+  MPZ_TMP_INIT (tmp2, alloc);
+
+  /* QUOT might be identical to OP1, so don't store the result there
+     until we are finished with the input operand.  We can overwrite
+     the numerator of QUOT when we are finished with the numerator of
+     OP1. */
+
+  mpz_gcd (gcd1, NUM(op1), NUM(op2));
+  mpz_gcd (gcd2, DEN(op2), DEN(op1));
+
+  mpz_divexact_gcd (tmp1, NUM(op1), gcd1);
+  mpz_divexact_gcd (tmp2, DEN(op2), gcd2);
+
+  mpz_mul (NUM(quot), tmp1, tmp2);
+
+  mpz_divexact_gcd (tmp1, NUM(op2), gcd1);
+  mpz_divexact_gcd (tmp2, DEN(op1), gcd2);
+
+  mpz_mul (DEN(quot), tmp1, tmp2);
+
+  /* Keep the denominator positive.  */
+  if (SIZ(DEN(quot)) < 0)
+    {
+      SIZ(DEN(quot)) = -SIZ(DEN(quot));
+      SIZ(NUM(quot)) = -SIZ(NUM(quot));
+    }
+
+  TMP_FREE;
+}
diff --git a/gmp-6.3.0/mpq/equal.c b/gmp-6.3.0/mpq/equal.c
new file mode 100644
index 0000000..9835e04
--- /dev/null
+++ b/gmp-6.3.0/mpq/equal.c
@@ -0,0 +1,68 @@
+/* mpq_equal(u,v) -- Compare U, V.  Return non-zero if they are equal, zero
+   if they are non-equal.
+
+Copyright 1996, 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 "gmp-impl.h"
+
+int
+mpq_equal (mpq_srcptr op1, mpq_srcptr op2) __GMP_NOTHROW
+{
+  mp_size_t  num1_size, num2_size, den1_size, den2_size, i;
+  mp_srcptr  num1_ptr,  num2_ptr,  den1_ptr,  den2_ptr;
+
+  /* need fully canonical for correct results */
+  ASSERT_MPQ_CANONICAL (op1);
+  ASSERT_MPQ_CANONICAL (op2);
+
+  num1_size = SIZ(NUM(op1));
+  num2_size = SIZ(NUM(op2));
+  if (num1_size != num2_size)
+    return 0;
+
+  den1_size = SIZ(DEN(op1));
+  den2_size = SIZ(DEN(op2));
+  if (den1_size != den2_size)
+    return 0;
+
+  num1_ptr = PTR(NUM(op1));
+  num2_ptr = PTR(NUM(op2));
+  num1_size = ABS (num1_size);
+  for (i = 0; i < num1_size; i++)
+    if (num1_ptr[i] != num2_ptr[i])
+      return 0;
+
+  den1_ptr = PTR(DEN(op1));
+  den2_ptr = PTR(DEN(op2));
+  for (i = 0; i < den1_size; i++)
+    if (den1_ptr[i] != den2_ptr[i])
+      return 0;
+
+  return 1;
+}
diff --git a/gmp-6.3.0/mpq/get_d.c b/gmp-6.3.0/mpq/get_d.c
new file mode 100644
index 0000000..4d9779d
--- /dev/null
+++ b/gmp-6.3.0/mpq/get_d.c
@@ -0,0 +1,162 @@
+/* double mpq_get_d (mpq_t src) -- mpq to double, rounding towards zero.
+
+Copyright 1995, 1996, 2001-2005, 2018, 2019 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 "longlong.h"
+
+
+/* All that's needed is to get the high 53 bits of the quotient num/den,
+   rounded towards zero.  More than 53 bits is fine, any excess is ignored
+   by mpn_get_d.
+
+   N_QLIMBS is how many quotient limbs we need to satisfy the mantissa of a
+   double, assuming the highest of those limbs is non-zero.  The target
+   qsize for mpn_tdiv_qr is then 1 more than this, since that function may
+   give a zero in the high limb (and non-zero in the second highest).
+
+   The use of 8*sizeof(double) in N_QLIMBS is an overestimate of the
+   mantissa bits, but it gets the same result as the true value (53 or 48 or
+   whatever) when rounded up to a multiple of GMP_NUMB_BITS, for non-nails.
+
+   Enhancements:
+
+   Use the true mantissa size in the N_QLIMBS formula, to save a divide step
+   in nails.
+
+   Examine the high limbs of num and den to see if the highest 1 bit of the
+   quotient will fall high enough that just N_QLIMBS-1 limbs is enough to
+   get the necessary bits, thereby saving a division step.
+
+   Bit shift either num or den to arrange for the above condition on the
+   high 1 bit of the quotient, to save a division step always.  A shift to
+   save a division step is definitely worthwhile with mpn_tdiv_qr, though we
+   may want to reassess this on big num/den when a quotient-only division
+   exists.
+
+   Maybe we could estimate the final exponent using nsize-dsize (and
+   possibly the high limbs of num and den), so as to detect overflow and
+   return infinity or zero quickly.  Overflow is never very helpful to an
+   application, and can therefore probably be regarded as abnormal, but we
+   may still like to optimize it if the conditions are easy.  (This would
+   only be for float formats we know, unknown formats are not important and
+   can be left to mpn_get_d.)
+
+   Future:
+
+   If/when mpn_tdiv_qr supports its qxn parameter we can use that instead of
+   padding n with zeros in temporary space.
+
+   Alternatives:
+
+   An alternative algorithm, that may be faster:
+   0. Let n be somewhat larger than the number of significant bits in a double.
+   1. Extract the most significant n bits of the denominator, and an equal
+      number of bits from the numerator.
+   2. Interpret the extracted numbers as integers, call them a and b
+      respectively, and develop n bits of the fractions ((a + 1) / b) and
+      (a / (b + 1)) using mpn_divrem.
+   3. If the computed values are identical UP TO THE POSITION WE CARE ABOUT,
+      we are done.  If they are different, repeat the algorithm from step 1,
+      but first let n = n * 2.
+   4. If we end up using all bits from the numerator and denominator, fall
+      back to a plain division.
+   5. Just to make life harder, The computation of a + 1 and b + 1 above
+      might give carry-out...  Needs special handling.  It might work to
+      subtract 1 in both cases instead.
+
+   Not certain if this approach would be faster than a quotient-only
+   division.  Presumably such optimizations are the sort of thing we would
+   like to have helping everywhere that uses a quotient-only division. */
+
+double
+mpq_get_d (mpq_srcptr src)
+{
+  double res;
+  mp_srcptr np, dp;
+  mp_ptr temp;
+  mp_size_t nsize = SIZ(NUM(src));
+  mp_size_t dsize = SIZ(DEN(src));
+  mp_size_t qsize, prospective_qsize, zeros;
+  mp_size_t sign_quotient = nsize;
+  long exp;
+#define N_QLIMBS (1 + (sizeof (double) + GMP_LIMB_BYTES-1) / GMP_LIMB_BYTES)
+  mp_limb_t qarr[N_QLIMBS + 1];
+  mp_ptr qp = qarr;
+  TMP_DECL;
+
+  ASSERT (dsize > 0);    /* canonical src */
+
+  /* mpn_get_d below requires a non-zero operand */
+  if (UNLIKELY (nsize == 0))
+    return 0.0;
+
+  TMP_MARK;
+  nsize = ABS (nsize);
+  dsize = ABS (dsize);
+  np = PTR(NUM(src));
+  dp = PTR(DEN(src));
+
+  prospective_qsize = nsize - dsize;       /* from using given n,d */
+  qsize = N_QLIMBS;                        /* desired qsize */
+
+  zeros = qsize - prospective_qsize;       /* padding n to get qsize */
+  exp = (long) -zeros * GMP_NUMB_BITS;     /* relative to low of qp */
+
+  /* zero extend n into temporary space, if necessary */
+  if (zeros > 0)
+    {
+      mp_size_t tsize;
+      tsize = nsize + zeros;               /* size for copy of n */
+
+      temp = TMP_ALLOC_LIMBS (tsize + 1);
+      MPN_FILL (temp, zeros, 0);
+      MPN_COPY (temp + zeros, np, nsize);
+      np = temp;
+      nsize = tsize;
+    }
+  else /* negative zeros means shorten n */
+    {
+      np -= zeros;
+      nsize += zeros;
+
+      temp = TMP_ALLOC_LIMBS (nsize + 1);
+    }
+
+  ASSERT (qsize == nsize - dsize);
+  mpn_div_q (qp, np, nsize, dp, dsize, temp);
+
+  /* strip possible zero high limb */
+  qsize += (qp[qsize] != 0);
+
+  res = mpn_get_d (qp, qsize, sign_quotient, exp);
+  TMP_FREE;
+  return res;
+}
diff --git a/gmp-6.3.0/mpq/get_den.c b/gmp-6.3.0/mpq/get_den.c
new file mode 100644
index 0000000..d4fd90b
--- /dev/null
+++ b/gmp-6.3.0/mpq/get_den.c
@@ -0,0 +1,42 @@
+/* mpq_get_den(den,rat_src) -- Set DEN to the denominator of RAT_SRC.
+
+Copyright 1991, 1994, 1995, 2001, 2012 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
+mpq_get_den (mpz_ptr den, mpq_srcptr src)
+{
+  mp_size_t size = SIZ(DEN(src));
+  mp_ptr dp;
+
+  dp = MPZ_NEWALLOC (den, size);
+  SIZ(den) = size;
+  MPN_COPY (dp, PTR(DEN(src)), size);
+}
diff --git a/gmp-6.3.0/mpq/get_num.c b/gmp-6.3.0/mpq/get_num.c
new file mode 100644
index 0000000..079211c
--- /dev/null
+++ b/gmp-6.3.0/mpq/get_num.c
@@ -0,0 +1,44 @@
+ /* mpq_get_num(num,rat_src) -- Set NUM to the numerator of RAT_SRC.
+
+Copyright 1991, 1994, 1995, 2001, 2012 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
+mpq_get_num (mpz_ptr num, mpq_srcptr src)
+{
+  mp_size_t size = SIZ(NUM(src));
+  mp_size_t abs_size = ABS (size);
+  mp_ptr dp;
+
+  dp = MPZ_NEWALLOC (num, abs_size);
+  SIZ(num) = size;
+
+  MPN_COPY (dp, PTR(NUM(src)), abs_size);
+}
diff --git a/gmp-6.3.0/mpq/get_str.c b/gmp-6.3.0/mpq/get_str.c
new file mode 100644
index 0000000..d0cfb58
--- /dev/null
+++ b/gmp-6.3.0/mpq/get_str.c
@@ -0,0 +1,80 @@
+/* mpq_get_str -- mpq to string conversion.
+
+Copyright 2001, 2002, 2006, 2011, 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 <stdio.h>
+#include <string.h>
+#include "gmp-impl.h"
+#include "longlong.h"
+
+char *
+mpq_get_str (char *str, int base, mpq_srcptr q)
+{
+  size_t  str_alloc, len;
+
+  if (base > 62 || base < -36)
+    return NULL;
+
+  str_alloc = 0;
+  if (str == NULL)
+    {
+      /* This is an overestimate since we don't bother checking how much of
+	 the high limbs of num and den are used.  +2 for rounding up the
+	 chars per bit of num and den.  +3 for sign, slash and '\0'.  */
+      if (ABS(base) < 2)
+	base = 10;
+      DIGITS_IN_BASE_PER_LIMB (str_alloc, ABSIZ(NUM(q)) + SIZ(DEN(q)), ABS(base));
+      str_alloc += 6;
+
+      str = __GMP_ALLOCATE_FUNC_TYPE (str_alloc, char);
+    }
+
+  mpz_get_str (str, base, mpq_numref(q));
+  len = strlen (str);
+  if (! MPZ_EQUAL_1_P (mpq_denref (q)))
+    {
+      str[len++] = '/';
+      mpz_get_str (str+len, base, mpq_denref(q));
+      len += strlen (str+len);
+    }
+
+  ASSERT (len == strlen(str));
+  ASSERT (str_alloc == 0 || len+1 <= str_alloc);
+  ASSERT (len+1 <= 3 + /* size recommended to applications */
+	  (ABS(base) < 2 ?
+	   mpz_sizeinbase (mpq_numref(q), 10) +
+	   mpz_sizeinbase (mpq_denref(q), 10)
+	   : mpz_sizeinbase (mpq_numref(q), ABS(base)) +
+	   mpz_sizeinbase (mpq_denref(q), ABS(base))));
+
+  if (str_alloc != 0)
+    __GMP_REALLOCATE_FUNC_MAYBE_TYPE (str, str_alloc, len+1, char);
+
+  return str;
+}
diff --git a/gmp-6.3.0/mpq/init.c b/gmp-6.3.0/mpq/init.c
new file mode 100644
index 0000000..5310066
--- /dev/null
+++ b/gmp-6.3.0/mpq/init.c
@@ -0,0 +1,45 @@
+/* mpq_init -- Make a new rational number with value 0/1.
+
+Copyright 1991, 1994, 1995, 2000-2002, 2015, 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 "gmp-impl.h"
+
+void
+mpq_init (mpq_ptr x)
+{
+  static const mp_limb_t dummy_limb=0xc1a0;
+  ALLOC(NUM(x)) = 0;
+  PTR(NUM(x)) = (mp_ptr) &dummy_limb;
+  SIZ(NUM(x)) = 0;
+  ALLOC(DEN(x)) = 1;
+  PTR(DEN(x)) = __GMP_ALLOCATE_FUNC_LIMBS (1);
+  PTR(DEN(x))[0] = 1;
+  SIZ(DEN(x)) = 1;
+}
diff --git a/gmp-6.3.0/mpq/inits.c b/gmp-6.3.0/mpq/inits.c
new file mode 100644
index 0000000..fff4343
--- /dev/null
+++ b/gmp-6.3.0/mpq/inits.c
@@ -0,0 +1,49 @@
+/* mpq_inits() -- Initialize multiple mpq_t variables and set them to 0.
+
+Copyright 2009, 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 <stdarg.h>
+#include "gmp-impl.h"
+
+void
+mpq_inits (mpq_ptr x, ...)
+{
+  va_list  ap;
+
+  va_start (ap, x);
+
+  do
+    {
+      mpq_init (x);
+      x = va_arg (ap, mpq_ptr);
+    }
+  while (x != NULL);
+
+  va_end (ap);
+}
diff --git a/gmp-6.3.0/mpq/inp_str.c b/gmp-6.3.0/mpq/inp_str.c
new file mode 100644
index 0000000..b7662bc
--- /dev/null
+++ b/gmp-6.3.0/mpq/inp_str.c
@@ -0,0 +1,75 @@
+/* mpq_inp_str -- read an mpq from a FILE.
+
+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 <stdio.h>
+#include <ctype.h>
+#include "gmp-impl.h"
+
+
+size_t
+mpq_inp_str (mpq_ptr q, FILE *fp, int base)
+{
+  size_t  nread;
+  int     c;
+
+  if (fp == NULL)
+    fp = stdin;
+
+  SIZ(DEN(q)) = 1;
+  MPZ_NEWALLOC (DEN(q), 1)[0] = 1;
+
+  nread = mpz_inp_str (mpq_numref(q), fp, base);
+  if (nread == 0)
+    return 0;
+
+  c = getc (fp);
+  nread++;
+
+  if (c == '/')
+    {
+      c = getc (fp);
+      nread++;
+
+      nread = mpz_inp_str_nowhite (mpq_denref(q), fp, base, c, nread);
+      if (nread == 0)
+	{
+	  SIZ(NUM(q)) = 0;
+	  SIZ(DEN(q)) = 1;
+	  PTR(DEN(q))[0] = 1;
+	}
+    }
+  else
+    {
+      ungetc (c, fp);
+      nread--;
+    }
+
+  return nread;
+}
diff --git a/gmp-6.3.0/mpq/inv.c b/gmp-6.3.0/mpq/inv.c
new file mode 100644
index 0000000..c395984
--- /dev/null
+++ b/gmp-6.3.0/mpq/inv.c
@@ -0,0 +1,70 @@
+/* mpq_inv(dest,src) -- invert a rational number, i.e. set DEST to SRC
+   with the numerator and denominator swapped.
+
+Copyright 1991, 1994, 1995, 2000, 2001, 2012 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
+mpq_inv (mpq_ptr dest, mpq_srcptr src)
+{
+  mp_size_t num_size = SIZ(NUM(src));
+  mp_size_t den_size = SIZ(DEN(src));
+
+  if (num_size < 0)
+    {
+      num_size = -num_size;
+      den_size = -den_size;
+    }
+  else if (UNLIKELY (num_size == 0))
+    DIVIDE_BY_ZERO;
+
+  SIZ(DEN(dest)) = num_size;
+  SIZ(NUM(dest)) = den_size;
+
+  /* If dest == src we may just swap the numerator and denominator;
+     we ensured that the new denominator is positive.  */
+
+  if (dest == src)
+    {
+      MP_PTR_SWAP (PTR(NUM(dest)), PTR(DEN(dest)));
+      MP_SIZE_T_SWAP (ALLOC(NUM(dest)), ALLOC(DEN(dest)));
+    }
+  else
+    {
+      mp_ptr dp;
+
+      den_size = ABS (den_size);
+      dp = MPZ_NEWALLOC (NUM(dest), den_size);
+      MPN_COPY (dp, PTR(DEN(src)), den_size);
+
+      dp = MPZ_NEWALLOC (DEN(dest), num_size);
+      MPN_COPY (dp, PTR(NUM(src)), num_size);
+    }
+}
diff --git a/gmp-6.3.0/mpq/md_2exp.c b/gmp-6.3.0/mpq/md_2exp.c
new file mode 100644
index 0000000..b3378b3
--- /dev/null
+++ b/gmp-6.3.0/mpq/md_2exp.c
@@ -0,0 +1,110 @@
+/* mpq_mul_2exp, mpq_div_2exp - multiply or divide by 2^N */
+
+/*
+Copyright 2000, 2002, 2012, 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 "gmp-impl.h"
+#include "longlong.h"
+
+
+/* The multiplier/divisor "n", representing 2^n, is applied by right shifting
+   "r" until it's odd (if it isn't already), and left shifting "l" for the
+   rest. */
+
+static void
+mord_2exp (mpz_ptr ldst, mpz_ptr rdst, mpz_srcptr lsrc, mpz_srcptr rsrc,
+           mp_bitcnt_t n)
+{
+  mp_size_t  rsrc_size = SIZ(rsrc);
+  mp_size_t  len = ABS (rsrc_size);
+  mp_ptr     rsrc_ptr = PTR(rsrc);
+  mp_ptr     p, rdst_ptr;
+  mp_limb_t  plow;
+
+  p = rsrc_ptr;
+  plow = *p;
+  while (n >= GMP_NUMB_BITS && plow == 0)
+    {
+      n -= GMP_NUMB_BITS;
+      p++;
+      plow = *p;
+    }
+
+  /* no realloc here if rsrc==rdst, so p and rsrc_ptr remain valid */
+  len -= (p - rsrc_ptr);
+  rdst_ptr = MPZ_REALLOC (rdst, len);
+
+  if ((plow & 1) || n == 0)
+    {
+      /* need INCR when src==dst */
+      if (p != rdst_ptr)
+        MPN_COPY_INCR (rdst_ptr, p, len);
+    }
+  else
+    {
+      unsigned long  shift;
+      if (plow == 0)
+        shift = n;
+      else
+        {
+          count_trailing_zeros (shift, plow);
+          shift = MIN (shift, n);
+        }
+      mpn_rshift (rdst_ptr, p, len, shift);
+      len -= (rdst_ptr[len-1] == 0);
+      n -= shift;
+    }
+  SIZ(rdst) = (rsrc_size >= 0) ? len : -len;
+
+  if (n)
+    mpz_mul_2exp (ldst, lsrc, n);
+  else if (ldst != lsrc)
+    mpz_set (ldst, lsrc);
+}
+
+
+void
+mpq_mul_2exp (mpq_ptr dst, mpq_srcptr src, mp_bitcnt_t n)
+{
+  mord_2exp (NUM(dst), DEN(dst), NUM(src), DEN(src), n);
+}
+
+void
+mpq_div_2exp (mpq_ptr dst, mpq_srcptr src, mp_bitcnt_t n)
+{
+  if (SIZ(NUM(src)) == 0)
+    {
+      SIZ(NUM(dst)) = 0;
+      SIZ(DEN(dst)) = 1;
+      MPZ_NEWALLOC (DEN(dst), 1)[0] = 1;
+      return;
+    }
+
+  mord_2exp (DEN(dst), NUM(dst), DEN(src), NUM(src), n);
+}
diff --git a/gmp-6.3.0/mpq/mul.c b/gmp-6.3.0/mpq/mul.c
new file mode 100644
index 0000000..270dafc
--- /dev/null
+++ b/gmp-6.3.0/mpq/mul.c
@@ -0,0 +1,102 @@
+/* mpq_mul -- multiply two rational numbers.
+
+Copyright 1991, 1994-1996, 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
+mpq_mul (mpq_ptr prod, mpq_srcptr op1, mpq_srcptr op2)
+{
+  mpz_t gcd1, gcd2;
+  mpz_t tmp1, tmp2;
+  mp_size_t op1_num_size;
+  mp_size_t op1_den_size;
+  mp_size_t op2_num_size;
+  mp_size_t op2_den_size;
+  mp_size_t alloc;
+  TMP_DECL;
+
+  if (op1 == op2)
+    {
+      /* No need for any GCDs when squaring. */
+      mpz_mul (mpq_numref (prod), mpq_numref (op1), mpq_numref (op1));
+      mpz_mul (mpq_denref (prod), mpq_denref (op1), mpq_denref (op1));
+      return;
+    }
+
+  op1_num_size = ABSIZ(NUM(op1));
+  op1_den_size =   SIZ(DEN(op1));
+  op2_num_size = ABSIZ(NUM(op2));
+  op2_den_size =   SIZ(DEN(op2));
+
+  if (op1_num_size == 0 || op2_num_size == 0)
+    {
+      /* We special case this to simplify allocation logic; gcd(0,x) = x
+	 is a singular case for the allocations.  */
+      SIZ(NUM(prod)) = 0;
+      MPZ_NEWALLOC (DEN(prod), 1)[0] = 1;
+      SIZ(DEN(prod)) = 1;
+      return;
+    }
+
+  TMP_MARK;
+
+  alloc = MIN (op1_num_size, op2_den_size);
+  MPZ_TMP_INIT (gcd1, alloc);
+
+  alloc = MIN (op2_num_size, op1_den_size);
+  MPZ_TMP_INIT (gcd2, alloc);
+
+  alloc = MAX (op1_num_size, op2_den_size);
+  MPZ_TMP_INIT (tmp1, alloc);
+
+  alloc = MAX (op2_num_size, op1_den_size);
+  MPZ_TMP_INIT (tmp2, alloc);
+
+  /* PROD might be identical to either operand, so don't store the result there
+     until we are finished with the input operands.  We can overwrite the
+     numerator of PROD when we are finished with the numerators of OP1 and
+     OP2.  */
+
+  mpz_gcd (gcd1, NUM(op1), DEN(op2));
+  mpz_gcd (gcd2, NUM(op2), DEN(op1));
+
+  mpz_divexact_gcd (tmp1, NUM(op1), gcd1);
+  mpz_divexact_gcd (tmp2, NUM(op2), gcd2);
+
+  mpz_mul (NUM(prod), tmp1, tmp2);
+
+  mpz_divexact_gcd (tmp1, DEN(op2), gcd1);
+  mpz_divexact_gcd (tmp2, DEN(op1), gcd2);
+
+  mpz_mul (DEN(prod), tmp1, tmp2);
+
+  TMP_FREE;
+}
diff --git a/gmp-6.3.0/mpq/neg.c b/gmp-6.3.0/mpq/neg.c
new file mode 100644
index 0000000..8fda41c
--- /dev/null
+++ b/gmp-6.3.0/mpq/neg.c
@@ -0,0 +1,57 @@
+/* mpq_neg -- negate a rational.
+
+Copyright 2000, 2001, 2012 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 __GMP_FORCE_mpq_neg 1
+
+#include "gmp-impl.h"
+
+
+void
+mpq_neg (mpq_ptr dst, mpq_srcptr src)
+{
+  mp_size_t  num_size = SIZ(NUM(src));
+
+  if (src != dst)
+    {
+      mp_size_t  size;
+      mp_ptr dp;
+
+      size = ABS(num_size);
+      dp = MPZ_NEWALLOC (NUM(dst), size);
+      MPN_COPY (dp, PTR(NUM(src)), size);
+
+      size = SIZ(DEN(src));
+      dp = MPZ_NEWALLOC (DEN(dst), size);
+      SIZ(DEN(dst)) = size;
+      MPN_COPY (dp, PTR(DEN(src)), size);
+    }
+
+  SIZ(NUM(dst)) = -num_size;
+}
diff --git a/gmp-6.3.0/mpq/out_str.c b/gmp-6.3.0/mpq/out_str.c
new file mode 100644
index 0000000..5d2dd4e
--- /dev/null
+++ b/gmp-6.3.0/mpq/out_str.c
@@ -0,0 +1,53 @@
+/* mpq_out_str(stream,base,integer) */
+
+/*
+Copyright 2000, 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>
+#include "gmp-impl.h"
+
+
+size_t
+mpq_out_str (FILE *stream, int base, mpq_srcptr q)
+{
+  size_t  written;
+
+  if (stream == NULL)
+    stream = stdout;
+
+  written = mpz_out_str (stream, base, mpq_numref (q));
+
+  if (mpz_cmp_ui (mpq_denref (q), 1) != 0)
+    {
+      putc ('/', stream);
+      written += 1 + mpz_out_str (stream, base, mpq_denref (q));
+    }
+
+  return ferror (stream) ? 0 : written;
+}
diff --git a/gmp-6.3.0/mpq/set.c b/gmp-6.3.0/mpq/set.c
new file mode 100644
index 0000000..87c15e3
--- /dev/null
+++ b/gmp-6.3.0/mpq/set.c
@@ -0,0 +1,51 @@
+/* mpq_set(dest,src) -- Set DEST to SRC.
+
+Copyright 1991, 1994, 1995, 2001, 2012, 2015 Free Software Foundation,
+Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of either:
+
+  * the GNU Lesser General Public License as published by the Free
+    Software Foundation; either version 3 of the License, or (at your
+    option) any later version.
+
+or
+
+  * the GNU General Public License as published by the Free Software
+    Foundation; either version 2 of the License, or (at your option) any
+    later version.
+
+or both in parallel, as here.
+
+The GNU MP Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library.  If not,
+see https://www.gnu.org/licenses/.  */
+
+#include "gmp-impl.h"
+
+void
+mpq_set (mpq_ptr dest, mpq_srcptr src)
+{
+  mp_size_t num_size, den_size;
+  mp_size_t abs_num_size;
+  mp_ptr dp;
+
+  num_size = SIZ(NUM(src));
+  SIZ(NUM(dest)) = num_size;
+  abs_num_size = ABS (num_size);
+  dp = MPZ_NEWALLOC (NUM(dest), abs_num_size);
+  MPN_COPY (dp, PTR(NUM(src)), abs_num_size);
+
+  den_size = SIZ(DEN(src));
+  SIZ(DEN(dest)) = den_size;
+  dp = MPZ_NEWALLOC (DEN(dest), den_size);
+  MPN_COPY (dp, PTR(DEN(src)), den_size);
+}
diff --git a/gmp-6.3.0/mpq/set_d.c b/gmp-6.3.0/mpq/set_d.c
new file mode 100644
index 0000000..3f3fab0
--- /dev/null
+++ b/gmp-6.3.0/mpq/set_d.c
@@ -0,0 +1,165 @@
+/* mpq_set_d(mpq_t q, double d) -- Set q to d without rounding.
+
+Copyright 2000, 2002, 2003, 2012, 2014, 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_FLOAT_H
+#include <float.h>  /* for DBL_MAX */
+#endif
+
+#include "gmp-impl.h"
+#include "longlong.h"
+
+#if LIMBS_PER_DOUBLE > 4
+  choke me
+#endif
+
+void
+mpq_set_d (mpq_ptr dest, double d)
+{
+  int negative;
+  mp_exp_t exp;
+  mp_limb_t tp[LIMBS_PER_DOUBLE];
+  mp_ptr np, dp;
+  mp_size_t nn, dn;
+  int c;
+
+  DOUBLE_NAN_INF_ACTION (d,
+                         __gmp_invalid_operation (),
+                         __gmp_invalid_operation ());
+
+  negative = d < 0;
+  d = ABS (d);
+
+  exp = __gmp_extract_double (tp, d);
+
+  /* There are two main version of the conversion.  The `then' arm handles
+     numbers with a fractional part, while the `else' arm handles integers.  */
+#if LIMBS_PER_DOUBLE == 4
+  if (exp <= 1 || (exp == 2 && (tp[0] | tp[1]) != 0))
+#endif
+#if LIMBS_PER_DOUBLE == 3
+  if (exp <= 1 || (exp == 2 && tp[0] != 0))
+#endif
+#if LIMBS_PER_DOUBLE == 2
+  if (exp <= 1)
+#endif
+    {
+      if (d == 0.0)
+	{
+	  SIZ(NUM(dest)) = 0;
+	  SIZ(DEN(dest)) = 1;
+	  MPZ_NEWALLOC (DEN(dest), 1)[0] = 1;
+	  return;
+	}
+
+#if LIMBS_PER_DOUBLE == 4
+      np = MPZ_NEWALLOC (NUM(dest), 4);
+      if ((tp[0] | tp[1] | tp[2]) == 0)
+	np[0] = tp[3], nn = 1;
+      else if ((tp[0] | tp[1]) == 0)
+	np[1] = tp[3], np[0] = tp[2], nn = 2;
+      else if (tp[0] == 0)
+	np[2] = tp[3], np[1] = tp[2], np[0] = tp[1], nn = 3;
+      else
+	np[3] = tp[3], np[2] = tp[2], np[1] = tp[1], np[0] = tp[0], nn = 4;
+#endif
+#if LIMBS_PER_DOUBLE == 3
+      np = MPZ_NEWALLOC (NUM(dest), 3);
+      if ((tp[0] | tp[1]) == 0)
+	np[0] = tp[2], nn = 1;
+      else if (tp[0] == 0)
+	np[1] = tp[2], np[0] = tp[1], nn = 2;
+      else
+	np[2] = tp[2], np[1] = tp[1], np[0] = tp[0], nn = 3;
+#endif
+#if LIMBS_PER_DOUBLE == 2
+      np = MPZ_NEWALLOC (NUM(dest), 2);
+      if (tp[0] == 0)
+	np[0] = tp[1], nn = 1;
+      else
+	np[1] = tp[1], np[0] = tp[0], nn = 2;
+#endif
+      dn = nn + 1 - exp;
+      ASSERT (dn > 0); /* -exp >= -1; nn >= 1*/
+      dp = MPZ_NEWALLOC (DEN(dest), dn);
+      MPN_ZERO (dp, dn - 1);
+      dp[dn - 1] = 1;
+      count_trailing_zeros (c, np[0] | dp[0]);
+      if (c != 0)
+	{
+	  mpn_rshift (np, np, nn, c);
+	  nn -= np[nn - 1] == 0;
+	  --dn;
+	  dp[dn - 1] = CNST_LIMB(1) << (GMP_LIMB_BITS - c);
+	}
+      SIZ(DEN(dest)) = dn;
+    }
+  else
+    {
+      nn = exp;
+      np = MPZ_NEWALLOC (NUM(dest), nn);
+      switch (nn)
+        {
+	default:
+	  MPN_ZERO (np, nn - LIMBS_PER_DOUBLE);
+	  np += nn - LIMBS_PER_DOUBLE;
+	  /* fall through */
+#if LIMBS_PER_DOUBLE == 2
+	case 2:
+	  np[1] = tp[1], np[0] = tp[0];
+	  break;
+#endif
+#if LIMBS_PER_DOUBLE == 3
+	case 3:
+	  np[2] = tp[2], np[1] = tp[1], np[0] = tp[0];
+	  break;
+	case 2:
+	  np[1] = tp[2], np[0] = tp[1];
+	  break;
+#endif
+#if LIMBS_PER_DOUBLE == 4
+	case 4:
+	  np[3] = tp[3], np[2] = tp[2], np[1] = tp[1], np[0] = tp[0];
+	  break;
+	case 3:
+	  np[2] = tp[3], np[1] = tp[2], np[0] = tp[1];
+	  break;
+	case 2:
+	  np[1] = tp[3], np[0] = tp[2];
+	  break;
+#endif
+	}
+      MPZ_NEWALLOC (DEN(dest), 1)[0] = 1;
+      SIZ(DEN(dest)) = 1;
+    }
+  SIZ(NUM(dest)) = negative ? -nn : nn;
+}
diff --git a/gmp-6.3.0/mpq/set_den.c b/gmp-6.3.0/mpq/set_den.c
new file mode 100644
index 0000000..e249db7
--- /dev/null
+++ b/gmp-6.3.0/mpq/set_den.c
@@ -0,0 +1,45 @@
+/* mpq_set_den(dest,den) -- Set the denominator of DEST from DEN.
+
+Copyright 1991, 1994-1996, 2000, 2001, 2012, 2015 Free Software
+Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of either:
+
+  * the GNU Lesser General Public License as published by the Free
+    Software Foundation; either version 3 of the License, or (at your
+    option) any later version.
+
+or
+
+  * the GNU General Public License as published by the Free Software
+    Foundation; either version 2 of the License, or (at your option) any
+    later version.
+
+or both in parallel, as here.
+
+The GNU MP Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library.  If not,
+see https://www.gnu.org/licenses/.  */
+
+#include "gmp-impl.h"
+
+void
+mpq_set_den (mpq_ptr dest, mpz_srcptr den)
+{
+  mp_size_t size = SIZ (den);
+  mp_size_t abs_size = ABS (size);
+  mp_ptr dp;
+
+  SIZ(DEN(dest)) = size;
+  dp = MPZ_NEWALLOC (DEN(dest), abs_size);
+
+  MPN_COPY (dp, PTR(den), abs_size);
+}
diff --git a/gmp-6.3.0/mpq/set_f.c b/gmp-6.3.0/mpq/set_f.c
new file mode 100644
index 0000000..581d4fc
--- /dev/null
+++ b/gmp-6.3.0/mpq/set_f.c
@@ -0,0 +1,106 @@
+/* mpq_set_f -- set an mpq from an mpf.
+
+Copyright 2000-2002, 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 "gmp-impl.h"
+#include "longlong.h"
+
+
+void
+mpq_set_f (mpq_ptr q, mpf_srcptr f)
+{
+  mp_size_t  fexp = EXP(f);
+  mp_ptr     fptr = PTR(f);
+  mp_size_t  fsize = SIZ(f);
+  mp_size_t  abs_fsize = ABS(fsize);
+  mp_limb_t  flow;
+
+  if (fsize == 0)
+    {
+      /* set q=0 */
+      SIZ(NUM(q)) = 0;
+      SIZ(DEN(q)) = 1;
+      MPZ_NEWALLOC (DEN(q), 1)[0] = 1;
+      return;
+    }
+
+  /* strip low zero limbs from f */
+  flow = *fptr;
+  MPN_STRIP_LOW_ZEROS_NOT_ZERO (fptr, abs_fsize, flow);
+
+  if (fexp >= abs_fsize)
+    {
+      /* radix point is to the right of the limbs, no denominator */
+      mp_ptr  num_ptr;
+
+      num_ptr = MPZ_NEWALLOC (mpq_numref (q), fexp);
+      MPN_ZERO (num_ptr, fexp - abs_fsize);
+      MPN_COPY (num_ptr + fexp - abs_fsize, fptr, abs_fsize);
+
+      SIZ(NUM(q)) = fsize >= 0 ? fexp : -fexp;
+      SIZ(DEN(q)) = 1;
+      MPZ_NEWALLOC (DEN(q), 1)[0] = 1;
+    }
+  else
+    {
+      /* radix point is within or to the left of the limbs, use denominator */
+      mp_ptr     num_ptr, den_ptr;
+      mp_size_t  den_size;
+
+      den_size = abs_fsize - fexp;
+      num_ptr = MPZ_NEWALLOC (mpq_numref (q), abs_fsize);
+      den_ptr = MPZ_NEWALLOC (mpq_denref (q), den_size+1);
+
+      if (flow & 1)
+        {
+          /* no powers of two to strip from numerator */
+
+          MPN_COPY (num_ptr, fptr, abs_fsize);
+          MPN_ZERO (den_ptr, den_size);
+          den_ptr[den_size] = 1;
+        }
+      else
+        {
+          /* right shift numerator, adjust denominator accordingly */
+          int  shift;
+
+          den_size--;
+          count_trailing_zeros (shift, flow);
+
+          mpn_rshift (num_ptr, fptr, abs_fsize, shift);
+          abs_fsize -= (num_ptr[abs_fsize-1] == 0);
+
+          MPN_ZERO (den_ptr, den_size);
+          den_ptr[den_size] = GMP_LIMB_HIGHBIT >> (shift-1);
+        }
+
+      SIZ(NUM(q)) = fsize >= 0 ? abs_fsize : -abs_fsize;
+      SIZ(DEN(q)) = den_size + 1;
+    }
+}
diff --git a/gmp-6.3.0/mpq/set_num.c b/gmp-6.3.0/mpq/set_num.c
new file mode 100644
index 0000000..1a099a2
--- /dev/null
+++ b/gmp-6.3.0/mpq/set_num.c
@@ -0,0 +1,45 @@
+/* mpq_set_num(dest,num) -- Set the numerator of DEST from NUM.
+
+Copyright 1991, 1994, 1995, 2001, 2012, 2015 Free Software Foundation,
+Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of either:
+
+  * the GNU Lesser General Public License as published by the Free
+    Software Foundation; either version 3 of the License, or (at your
+    option) any later version.
+
+or
+
+  * the GNU General Public License as published by the Free Software
+    Foundation; either version 2 of the License, or (at your option) any
+    later version.
+
+or both in parallel, as here.
+
+The GNU MP Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library.  If not,
+see https://www.gnu.org/licenses/.  */
+
+#include "gmp-impl.h"
+
+void
+mpq_set_num (mpq_ptr dest, mpz_srcptr num)
+{
+  mp_size_t size = SIZ (num);
+  mp_size_t abs_size = ABS (size);
+  mp_ptr dp;
+
+  SIZ(NUM(dest)) = size;
+  dp = MPZ_NEWALLOC (NUM(dest), abs_size);
+
+  MPN_COPY (dp, PTR(num), abs_size);
+}
diff --git a/gmp-6.3.0/mpq/set_si.c b/gmp-6.3.0/mpq/set_si.c
new file mode 100644
index 0000000..3159899
--- /dev/null
+++ b/gmp-6.3.0/mpq/set_si.c
@@ -0,0 +1,60 @@
+/* mpq_set_si(dest,ulong_num,ulong_den) -- Set DEST to the rational number
+   ULONG_NUM/ULONG_DEN.
+
+Copyright 1991, 1994, 1995, 2001, 2003, 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 "gmp-impl.h"
+
+void
+mpq_set_si (mpq_ptr dest, signed long int num, unsigned long int den)
+{
+  if (GMP_NUMB_BITS < BITS_PER_ULONG)
+    {
+      if (num == 0)  /* Canonicalize 0/d to 0/1.  */
+        den = 1;
+      mpz_set_si (mpq_numref (dest), num);
+      mpz_set_ui (mpq_denref (dest), den);
+      return;
+    }
+
+  if (num == 0)
+    {
+      /* Canonicalize 0/d to 0/1.  */
+      den = 1;
+      SIZ(NUM(dest)) = 0;
+    }
+  else
+    {
+      MPZ_NEWALLOC (NUM(dest), 1)[0] = ABS_CAST (unsigned long, num);
+      SIZ(NUM(dest)) = num > 0 ? 1 : -1;
+    }
+
+  MPZ_NEWALLOC (DEN(dest), 1)[0] = den;
+  SIZ(DEN(dest)) = (den != 0);
+}
diff --git a/gmp-6.3.0/mpq/set_str.c b/gmp-6.3.0/mpq/set_str.c
new file mode 100644
index 0000000..664bb2d
--- /dev/null
+++ b/gmp-6.3.0/mpq/set_str.c
@@ -0,0 +1,68 @@
+/* mpq_set_str -- string to mpq conversion.
+
+Copyright 2001, 2002, 2015, 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 <stdio.h>
+#include <string.h>
+#include "gmp-impl.h"
+
+
+/* FIXME: Would like an mpz_set_mem (or similar) accepting a pointer and
+   length so we wouldn't have to copy the numerator just to null-terminate
+   it.  */
+
+int
+mpq_set_str (mpq_ptr q, const char *str, int base)
+{
+  const char  *slash;
+  char        *num;
+  size_t      numlen;
+  int         ret;
+
+  slash = strchr (str, '/');
+  if (slash == NULL)
+    {
+      SIZ(DEN(q)) = 1;
+      MPZ_NEWALLOC (DEN(q), 1)[0] = 1;
+
+      return mpz_set_str (mpq_numref(q), str, base);
+    }
+
+  numlen = slash - str;
+  num = __GMP_ALLOCATE_FUNC_TYPE (numlen+1, char);
+  memcpy (num, str, numlen);
+  num[numlen] = '\0';
+  ret = mpz_set_str (mpq_numref(q), num, base);
+  __GMP_FREE_FUNC_TYPE (num, numlen+1, char);
+
+  if (ret != 0)
+    return ret;
+
+  return mpz_set_str (mpq_denref(q), slash+1, base);
+}
diff --git a/gmp-6.3.0/mpq/set_ui.c b/gmp-6.3.0/mpq/set_ui.c
new file mode 100644
index 0000000..b03d4e3
--- /dev/null
+++ b/gmp-6.3.0/mpq/set_ui.c
@@ -0,0 +1,60 @@
+/* mpq_set_ui(dest,ulong_num,ulong_den) -- Set DEST to the rational number
+   ULONG_NUM/ULONG_DEN.
+
+Copyright 1991, 1994, 1995, 2001-2003, 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 "gmp-impl.h"
+
+void
+mpq_set_ui (mpq_ptr dest, unsigned long int num, unsigned long int den)
+{
+  if (GMP_NUMB_BITS < BITS_PER_ULONG)
+    {
+      if (num == 0)  /* Canonicalize 0/d to 0/1.  */
+        den = 1;
+      mpz_set_ui (mpq_numref (dest), num);
+      mpz_set_ui (mpq_denref (dest), den);
+      return;
+    }
+
+  if (num == 0)
+    {
+      /* Canonicalize 0/d to 0/1.  */
+      den = 1;
+      SIZ(NUM(dest)) = 0;
+    }
+  else
+    {
+      MPZ_NEWALLOC (NUM(dest), 1)[0] = num;
+      SIZ(NUM(dest)) = 1;
+    }
+
+  MPZ_NEWALLOC (DEN(dest), 1)[0] = den;
+  SIZ(DEN(dest)) = (den != 0);
+}
diff --git a/gmp-6.3.0/mpq/set_z.c b/gmp-6.3.0/mpq/set_z.c
new file mode 100644
index 0000000..8309c93
--- /dev/null
+++ b/gmp-6.3.0/mpq/set_z.c
@@ -0,0 +1,48 @@
+/* mpq_set_z (dest,src) -- Set DEST to SRC.
+
+Copyright 1996, 2001, 2012, 2015, 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 "gmp-impl.h"
+
+void
+mpq_set_z (mpq_ptr dest, mpz_srcptr src)
+{
+  mp_size_t num_size;
+  mp_size_t abs_num_size;
+  mp_ptr dp;
+
+  num_size = SIZ (src);
+  SIZ(NUM(dest)) = num_size;
+  abs_num_size = ABS (num_size);
+  dp = MPZ_NEWALLOC (NUM(dest), abs_num_size);
+  MPN_COPY (dp, PTR(src), abs_num_size);
+
+  MPZ_NEWALLOC (DEN(dest), 1)[0] = 1;
+  SIZ(DEN(dest)) = 1;
+}
diff --git a/gmp-6.3.0/mpq/swap.c b/gmp-6.3.0/mpq/swap.c
new file mode 100644
index 0000000..e5152d4
--- /dev/null
+++ b/gmp-6.3.0/mpq/swap.c
@@ -0,0 +1,42 @@
+/* mpq_swap (U, V) -- Swap U and V.
+
+Copyright 1997, 1998, 2000, 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 "gmp-impl.h"
+
+void
+mpq_swap (mpq_ptr u, mpq_ptr v) __GMP_NOTHROW
+{
+  MP_SIZE_T_SWAP (ALLOC(NUM(u)), ALLOC(NUM(v)));
+  MP_SIZE_T_SWAP (ALLOC(DEN(u)), ALLOC(DEN(v)));
+  MP_SIZE_T_SWAP (SIZ(NUM(u)), SIZ(NUM(v)));
+  MP_SIZE_T_SWAP (SIZ(DEN(u)), SIZ(DEN(v)));
+  MP_PTR_SWAP (PTR(NUM(u)), PTR(NUM(v)));
+  MP_PTR_SWAP (PTR(DEN(u)), PTR(DEN(v)));
+}