diff options
Diffstat (limited to 'package/network/utils/nftables')
6 files changed, 5038 insertions, 42 deletions
diff --git a/package/network/utils/nftables/Makefile b/package/network/utils/nftables/Makefile index 1a082571a0..3b33a1a0a6 100644 --- a/package/network/utils/nftables/Makefile +++ b/package/network/utils/nftables/Makefile @@ -7,30 +7,34 @@ include $(TOPDIR)/rules.mk PKG_NAME:=nftables -PKG_VERSION:=0.3+2014-09-18 +PKG_VERSION:=0.3+2014-09-30 PKG_RELEASE:=1 PKG_SOURCE:=$(PKG_NAME)-$(PKG_VERSION).tar.bz2 PKG_SOURCE_SUBDIR:=$(PKG_NAME)-$(PKG_VERSION) PKG_SOURCE_URL:=git://git.netfilter.org/nftables PKG_SOURCE_PROTO:=git -PKG_SOURCE_VERSION:=013dbc6b0a8490ba24805a8ae35d7707183b9615 +PKG_SOURCE_VERSION:=36c8a131af6217579da582bc320e16171df0f3af PKG_MAINTAINER:=Steven Barth <steven@midlink.org> PKG_FIXUP:=autoreconf include $(INCLUDE_DIR)/package.mk +CONFIGURE_ARGS += \ + --disable-debug \ + --without-libgmp \ + --without-libreadline \ + define Package/nftables SECTION:=net CATEGORY:=Network SUBMENU:=Firewall TITLE:=nftables packet filtering userspace utility - DEPENDS:=+kmod-nft-core +kmod-nft-nat +libnftnl +libgmp + DEPENDS:=+kmod-nft-core +kmod-nft-nat +libnftnl URL:=http://netfilter.org/projects/nftables/ endef - define Package/nftables/install $(INSTALL_DIR) $(1)/usr/sbin $(CP) $(PKG_BUILD_DIR)/src/nft $(1)/usr/sbin/ diff --git a/package/network/utils/nftables/patches/100-no-interactive.patch b/package/network/utils/nftables/patches/100-no-interactive.patch deleted file mode 100644 index 58442b7f0f..0000000000 --- a/package/network/utils/nftables/patches/100-no-interactive.patch +++ /dev/null @@ -1,38 +0,0 @@ ---- a/src/Makefile.in -+++ b/src/Makefile.in -@@ -3,7 +3,6 @@ PROGRAMS += nft - nft-destdir := @sbindir@ - - nft-obj += main.o --nft-obj += cli.o - nft-obj += rule.o - nft-obj += statement.o - nft-obj += datatype.o ---- a/src/main.c -+++ b/src/main.c -@@ -335,7 +335,7 @@ int main(int argc, char * const *argv) - if (scanner_read_file(scanner, filename, &internal_location) < 0) - goto out; - } else if (interactive) { -- cli_init(&state); -+ fprintf(stderr, "%s: interactive mode not supported\n", argv[0]); - return 0; - } else { - fprintf(stderr, "%s: no command specified\n", argv[0]); ---- a/configure.ac -+++ b/configure.ac -@@ -71,13 +71,11 @@ AC_CHECK_LIB([nftnl], [nft_rule_alloc], - AC_CHECK_LIB([gmp], [__gmpz_init], , - AC_MSG_ERROR([No suitable version of libgmp found])) - --AC_CHECK_LIB([readline], [readline], , -- AC_MSG_ERROR([No suitable version of libreadline found])) - - # Checks for header files. - AC_HEADER_STDC - AC_HEADER_ASSERT --AC_CHECK_HEADERS([arpa/inet.h fcntl.h inttypes.h libintl.h limits.h malloc.h \ -+AC_CHECK_HEADERS([arpa/inet.h fcntl.h inttypes.h limits.h malloc.h \ - netdb.h netinet/in.h netinet/ip.h netinet/ip6.h \ - netinet/tcp.h netinet/udp.h netinet/ip_icmp.h \ - stddef.h stdint.h stdlib.h string.h unistd.h], , diff --git a/package/network/utils/nftables/patches/101-build-allow-disabling-libreadline-support.patch b/package/network/utils/nftables/patches/101-build-allow-disabling-libreadline-support.patch new file mode 100644 index 0000000000..5219759a34 --- /dev/null +++ b/package/network/utils/nftables/patches/101-build-allow-disabling-libreadline-support.patch @@ -0,0 +1,63 @@ +From ace4c5eb69ee7dace955acdb23e30e8229b18619 Mon Sep 17 00:00:00 2001 +From: Steven Barth <cyrus@openwrt.org> +Date: Wed, 1 Oct 2014 22:40:31 +0200 +Subject: [PATCH 1/2] build: allow disabling libreadline-support + +This makes nftables a bit more embedded-friendly. + +Signed-off-by: Steven Barth <cyrus@openwrt.org> +--- + configure.ac | 11 +++++++++-- + src/Makefile.in | 2 ++ + src/main.c | 6 ++++++ + 3 files changed, 17 insertions(+), 2 deletions(-) + +--- a/configure.ac ++++ b/configure.ac +@@ -71,8 +71,15 @@ AC_CHECK_LIB([nftnl], [nft_rule_alloc], + AC_CHECK_LIB([gmp], [__gmpz_init], , + AC_MSG_ERROR([No suitable version of libgmp found])) + +-AC_CHECK_LIB([readline], [readline], , +- AC_MSG_ERROR([No suitable version of libreadline found])) ++ ++AC_ARG_WITH([libreadline], [AS_HELP_STRING([--without-libreadline], ++ [Disable libreadline support (no interactive CLI)])], [], ++ [with_libreadline=yes]) ++AS_IF([test "x$with_libreadline" != xno], [ ++AC_CHECK_LIB([readline],[readline], , AC_MSG_ERROR([No suitable version of libreadline found])) ++]) ++AC_SUBST(with_libreadline) ++ + + # Checks for header files. + AC_HEADER_STDC +--- a/src/Makefile.in ++++ b/src/Makefile.in +@@ -3,7 +3,9 @@ PROGRAMS += nft + nft-destdir := @sbindir@ + + nft-obj += main.o ++ifeq (@with_libreadline@,yes) + nft-obj += cli.o ++endif + nft-obj += rule.o + nft-obj += statement.o + nft-obj += datatype.o +--- a/src/main.c ++++ b/src/main.c +@@ -335,8 +335,14 @@ int main(int argc, char * const *argv) + if (scanner_read_file(scanner, filename, &internal_location) < 0) + goto out; + } else if (interactive) { ++#ifdef HAVE_LIBREADLINE + cli_init(&state); + return 0; ++#else ++ fprintf(stderr, "%s: interactive CLI not supported in this build\n", ++ argv[0]); ++ exit(NFT_EXIT_FAILURE); ++#endif + } else { + fprintf(stderr, "%s: no command specified\n", argv[0]); + exit(NFT_EXIT_FAILURE); diff --git a/package/network/utils/nftables/patches/102-build-allow-building-with-mini-gmp-instead-of-gmp.patch b/package/network/utils/nftables/patches/102-build-allow-building-with-mini-gmp-instead-of-gmp.patch new file mode 100644 index 0000000000..a7fba58934 --- /dev/null +++ b/package/network/utils/nftables/patches/102-build-allow-building-with-mini-gmp-instead-of-gmp.patch @@ -0,0 +1,4946 @@ +From da4e4f5db6561923ad239aa653660250aaeb5873 Mon Sep 17 00:00:00 2001 +From: Steven Barth <cyrus@openwrt.org> +Date: Mon, 6 Oct 2014 07:26:13 +0200 +Subject: [PATCH 2/2] build: allow building with mini-gmp instead of gmp + +This introduces --without-libgmp which includes mini-gmp into nft +(adding ~30k) but avoids linking libgmp which is >400k. + +This is useful for embedded distributions not using gmp otherwise. + +Note: currently --without-libgmp must be used with --disable-debug. + +Signed-off-by: Steven Barth <cyrus@openwrt.org> +--- + configure.ac | 14 +- + include/bignum.h | 17 + + include/expression.h | 2 +- + include/gmputil.h | 2 +- + include/mini-gmp.h | 294 ++++ + include/utils.h | 4 +- + src/Makefile.in | 5 + + src/datatype.c | 4 +- + src/erec.c | 4 +- + src/evaluate.c | 8 +- + src/gmputil.c | 1 - + src/mini-gmp-printf.c | 62 + + src/mini-gmp.c | 4386 +++++++++++++++++++++++++++++++++++++++++++++++++ + 13 files changed, 4790 insertions(+), 13 deletions(-) + create mode 100644 include/bignum.h + create mode 100644 include/mini-gmp.h + create mode 100644 src/mini-gmp-printf.c + create mode 100644 src/mini-gmp.c + +--- a/configure.ac ++++ b/configure.ac +@@ -68,8 +68,18 @@ AC_CHECK_LIB([mnl], [mnl_socket_open], , + AC_CHECK_LIB([nftnl], [nft_rule_alloc], , + AC_MSG_ERROR([No suitable version of libnftnl found])) + +-AC_CHECK_LIB([gmp], [__gmpz_init], , +- AC_MSG_ERROR([No suitable version of libgmp found])) ++AC_ARG_WITH([libgmp], [AS_HELP_STRING([--without-libgmp], ++ [Disable libgmp support (use builtin mini-gmp)])], [], ++ [with_libgmp=yes]) ++AS_IF([test "x$with_libgmp" != xno], [ ++AC_CHECK_LIB([gmp],[__gmpz_init], , AC_MSG_ERROR([No suitable version of libgmp found])) ++]) ++AC_SUBST(with_libgmp) ++ ++ ++AS_IF([test "x$with_libgmp" != xyes -a "x$CONFIG_DEBUG" = xy], [ ++AC_MSG_ERROR([--without-libgmp MUST be used with --disable-debug]) ++]) + + + AC_ARG_WITH([libreadline], [AS_HELP_STRING([--without-libreadline], +--- /dev/null ++++ b/include/bignum.h +@@ -0,0 +1,17 @@ ++#ifndef NFTABLES_BIGNUM_H ++#define NFTABLES_BIGNUM_H ++ ++#ifdef HAVE_LIBGMP ++#include <gmp.h> ++ ++#else ++ ++#include <mini-gmp.h> ++#include <stdio.h> ++#include <stdarg.h> ++ ++int gmp_printf(const char *format, const mpz_t value); ++ ++#endif ++ ++#endif /* NFTABLES_BIGNUM_H */ +--- a/include/expression.h ++++ b/include/expression.h +@@ -2,7 +2,7 @@ + #define NFTABLES_EXPRESSION_H + + #include <stdbool.h> +-#include <gmp.h> ++#include <bignum.h> + #include <linux/netfilter/nf_tables.h> + + #include <nftables.h> +--- a/include/gmputil.h ++++ b/include/gmputil.h +@@ -1,7 +1,7 @@ + #ifndef NFTABLES_GMPUTIL_H + #define NFTABLES_GMPUTIL_H + +-#include <gmp.h> ++#include <bignum.h> + #include <asm/byteorder.h> + + enum mpz_word_order { +--- /dev/null ++++ b/include/mini-gmp.h +@@ -0,0 +1,294 @@ ++/* mini-gmp, a minimalistic implementation of a GNU GMP subset. ++ ++Copyright 2011-2014 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/. */ ++ ++/* About mini-gmp: This is a minimal implementation of a subset of the ++ GMP interface. It is intended for inclusion into applications which ++ have modest bignums needs, as a fallback when the real GMP library ++ is not installed. ++ ++ This file defines the public interface. */ ++ ++#ifndef __MINI_GMP_H__ ++#define __MINI_GMP_H__ ++ ++/* For size_t */ ++#include <stddef.h> ++ ++#if defined (__cplusplus) ++extern "C" { ++#endif ++ ++void mp_set_memory_functions (void *(*) (size_t), ++ void *(*) (void *, size_t, size_t), ++ void (*) (void *, size_t)); ++ ++void mp_get_memory_functions (void *(**) (size_t), ++ void *(**) (void *, size_t, size_t), ++ void (**) (void *, size_t)); ++ ++typedef unsigned long mp_limb_t; ++typedef long mp_size_t; ++typedef unsigned long mp_bitcnt_t; ++ ++typedef mp_limb_t *mp_ptr; ++typedef const mp_limb_t *mp_srcptr; ++ ++typedef struct ++{ ++ int _mp_alloc; /* Number of *limbs* allocated and pointed ++ to by the _mp_d field. */ ++ int _mp_size; /* abs(_mp_size) is the number of limbs the ++ last field points to. If _mp_size is ++ negative this is a negative number. */ ++ mp_limb_t *_mp_d; /* Pointer to the limbs. */ ++} __mpz_struct; ++ ++typedef __mpz_struct mpz_t[1]; ++ ++typedef __mpz_struct *mpz_ptr; ++typedef const __mpz_struct *mpz_srcptr; ++ ++extern const int mp_bits_per_limb; ++ ++void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t); ++void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t); ++void mpn_zero (mp_ptr, mp_size_t); ++ ++int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t); ++ ++mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); ++mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); ++mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); ++ ++mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); ++mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); ++mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); ++ ++mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); ++mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); ++mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); ++ ++mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); ++void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); ++void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t); ++int mpn_perfect_square_p (mp_srcptr, mp_size_t); ++mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t); ++ ++mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int); ++mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int); ++ ++mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t); ++mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t); ++ ++mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t); ++ ++mp_limb_t mpn_invert_3by2 (mp_limb_t, mp_limb_t); ++#define mpn_invert_limb(x) mpn_invert_3by2 ((x), 0) ++ ++size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t); ++mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int); ++ ++void mpz_init (mpz_t); ++void mpz_init2 (mpz_t, mp_bitcnt_t); ++void mpz_clear (mpz_t); ++ ++#define mpz_odd_p(z) (((z)->_mp_size != 0) & (int) (z)->_mp_d[0]) ++#define mpz_even_p(z) (! mpz_odd_p (z)) ++ ++int mpz_sgn (const mpz_t); ++int mpz_cmp_si (const mpz_t, long); ++int mpz_cmp_ui (const mpz_t, unsigned long); ++int mpz_cmp (const mpz_t, const mpz_t); ++int mpz_cmpabs_ui (const mpz_t, unsigned long); ++int mpz_cmpabs (const mpz_t, const mpz_t); ++int mpz_cmp_d (const mpz_t, double); ++int mpz_cmpabs_d (const mpz_t, double); ++ ++void mpz_abs (mpz_t, const mpz_t); ++void mpz_neg (mpz_t, const mpz_t); ++void mpz_swap (mpz_t, mpz_t); ++ ++void mpz_add_ui (mpz_t, const mpz_t, unsigned long); ++void mpz_add (mpz_t, const mpz_t, const mpz_t); ++void mpz_sub_ui (mpz_t, const mpz_t, unsigned long); ++void mpz_ui_sub (mpz_t, unsigned long, const mpz_t); ++void mpz_sub (mpz_t, const mpz_t, const mpz_t); ++ ++void mpz_mul_si (mpz_t, const mpz_t, long int); ++void mpz_mul_ui (mpz_t, const mpz_t, unsigned long int); ++void mpz_mul (mpz_t, const mpz_t, const mpz_t); ++void mpz_mul_2exp (mpz_t, const mpz_t, mp_bitcnt_t); ++void mpz_addmul_ui (mpz_t, const mpz_t, unsigned long int); ++void mpz_addmul (mpz_t, const mpz_t, const mpz_t); ++void mpz_submul_ui (mpz_t, const mpz_t, unsigned long int); ++void mpz_submul (mpz_t, const mpz_t, const mpz_t); ++ ++void mpz_cdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t); ++void mpz_fdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t); ++void mpz_tdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t); ++void mpz_cdiv_q (mpz_t, const mpz_t, const mpz_t); ++void mpz_fdiv_q (mpz_t, const mpz_t, const mpz_t); ++void mpz_tdiv_q (mpz_t, const mpz_t, const mpz_t); ++void mpz_cdiv_r (mpz_t, const mpz_t, const mpz_t); ++void mpz_fdiv_r (mpz_t, const mpz_t, const mpz_t); ++void mpz_tdiv_r (mpz_t, const mpz_t, const mpz_t); ++ ++void mpz_cdiv_q_2exp (mpz_t, const mpz_t, mp_bitcnt_t); ++void mpz_fdiv_q_2exp (mpz_t, const mpz_t, mp_bitcnt_t); ++void mpz_tdiv_q_2exp (mpz_t, const mpz_t, mp_bitcnt_t); ++void mpz_cdiv_r_2exp (mpz_t, const mpz_t, mp_bitcnt_t); ++void mpz_fdiv_r_2exp (mpz_t, const mpz_t, mp_bitcnt_t); ++void mpz_tdiv_r_2exp (mpz_t, const mpz_t, mp_bitcnt_t); ++ ++void mpz_mod (mpz_t, const mpz_t, const mpz_t); ++ ++void mpz_divexact (mpz_t, const mpz_t, const mpz_t); ++ ++int mpz_divisible_p (const mpz_t, const mpz_t); ++int mpz_congruent_p (const mpz_t, const mpz_t, const mpz_t); ++ ++unsigned long mpz_cdiv_qr_ui (mpz_t, mpz_t, const mpz_t, unsigned long); ++unsigned long mpz_fdiv_qr_ui (mpz_t, mpz_t, const mpz_t, unsigned long); ++unsigned long mpz_tdiv_qr_ui (mpz_t, mpz_t, const mpz_t, unsigned long); ++unsigned long mpz_cdiv_q_ui (mpz_t, const mpz_t, unsigned long); ++unsigned long mpz_fdiv_q_ui (mpz_t, const mpz_t, unsigned long); ++unsigned long mpz_tdiv_q_ui (mpz_t, const mpz_t, unsigned long); ++unsigned long mpz_cdiv_r_ui (mpz_t, const mpz_t, unsigned long); ++unsigned long mpz_fdiv_r_ui (mpz_t, const mpz_t, unsigned long); ++unsigned long mpz_tdiv_r_ui (mpz_t, const mpz_t, unsigned long); ++unsigned long mpz_cdiv_ui (const mpz_t, unsigned long); ++unsigned long mpz_fdiv_ui (const mpz_t, unsigned long); ++unsigned long mpz_tdiv_ui (const mpz_t, unsigned long); ++ ++unsigned long mpz_mod_ui (mpz_t, const mpz_t, unsigned long); ++ ++void mpz_divexact_ui (mpz_t, const mpz_t, unsigned long); ++ ++int mpz_divisible_ui_p (const mpz_t, unsigned long); ++ ++unsigned long mpz_gcd_ui (mpz_t, const mpz_t, unsigned long); ++void mpz_gcd (mpz_t, const mpz_t, const mpz_t); ++void mpz_gcdext (mpz_t, mpz_t, mpz_t, const mpz_t, const mpz_t); ++void mpz_lcm_ui (mpz_t, const mpz_t, unsigned long); ++void mpz_lcm (mpz_t, const mpz_t, const mpz_t); ++int mpz_invert (mpz_t, const mpz_t, const mpz_t); ++ ++void mpz_sqrtrem (mpz_t, mpz_t, const mpz_t); ++void mpz_sqrt (mpz_t, const mpz_t); ++int mpz_perfect_square_p (const mpz_t); ++ ++void mpz_pow_ui (mpz_t, const mpz_t, unsigned long); ++void mpz_ui_pow_ui (mpz_t, unsigned long, unsigned long); ++void mpz_powm (mpz_t, const mpz_t, const mpz_t, const mpz_t); ++void mpz_powm_ui (mpz_t, const mpz_t, unsigned long, const mpz_t); ++ ++void mpz_rootrem (mpz_t, mpz_t, const mpz_t, unsigned long); ++int mpz_root (mpz_t, const mpz_t, unsigned long); ++ ++void mpz_fac_ui (mpz_t, unsigned long); ++void mpz_bin_uiui (mpz_t, unsigned long, unsigned long); ++ ++int mpz_probab_prime_p (const mpz_t, int); ++ ++int mpz_tstbit (const mpz_t, mp_bitcnt_t); ++void mpz_setbit (mpz_t, mp_bitcnt_t); ++void mpz_clrbit (mpz_t, mp_bitcnt_t); ++void mpz_combit (mpz_t, mp_bitcnt_t); ++ ++void mpz_com (mpz_t, const mpz_t); ++void mpz_and (mpz_t, const mpz_t, const mpz_t); ++void mpz_ior (mpz_t, const mpz_t, const mpz_t); ++void mpz_xor (mpz_t, const mpz_t, const mpz_t); ++ ++mp_bitcnt_t mpz_popcount (const mpz_t); ++mp_bitcnt_t mpz_hamdist (const mpz_t, const mpz_t); ++mp_bitcnt_t mpz_scan0 (const mpz_t, mp_bitcnt_t); ++mp_bitcnt_t mpz_scan1 (const mpz_t, mp_bitcnt_t); ++ ++int mpz_fits_slong_p (const mpz_t); ++int mpz_fits_ulong_p (const mpz_t); ++long int mpz_get_si (const mpz_t); ++unsigned long int mpz_get_ui (const mpz_t); ++double mpz_get_d (const mpz_t); ++size_t mpz_size (const mpz_t); ++mp_limb_t mpz_getlimbn (const mpz_t, mp_size_t); ++ ++void mpz_realloc2 (mpz_t, mp_bitcnt_t); ++mp_srcptr mpz_limbs_read (mpz_srcptr); ++mp_ptr mpz_limbs_modify (mpz_t, mp_size_t); ++mp_ptr mpz_limbs_write (mpz_t, mp_size_t); ++void mpz_limbs_finish (mpz_t, mp_size_t); ++mpz_srcptr mpz_roinit_n (mpz_t, mp_srcptr, mp_size_t); ++ ++#define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }} ++ ++void mpz_set_si (mpz_t, signed long int); ++void mpz_set_ui (mpz_t, unsigned long int); ++void mpz_set (mpz_t, const mpz_t); ++void mpz_set_d (mpz_t, double); ++ ++void mpz_init_set_si (mpz_t, signed long int); ++void mpz_init_set_ui (mpz_t, unsigned long int); ++void mpz_init_set (mpz_t, const mpz_t); ++void mpz_init_set_d (mpz_t, double); ++ ++size_t mpz_sizeinbase (const mpz_t, int); ++char *mpz_get_str (char *, int, const mpz_t); ++int mpz_set_str (mpz_t, const char *, int); ++int mpz_init_set_str (mpz_t, const char *, int); ++ ++/* This long list taken from gmp.h. */ ++/* For reference, "defined(EOF)" cannot be used here. In g++ 2.95.4, ++ <iostream> defines EOF but not FILE. */ ++#if defined (FILE) \ ++ || defined (H_STDIO) \ ++ || defined (_H_STDIO) /* AIX */ \ ++ || defined (_STDIO_H) /* glibc, Sun, SCO */ \ ++ || defined (_STDIO_H_) /* BSD, OSF */ \ ++ || defined (__STDIO_H) /* Borland */ \ ++ || defined (__STDIO_H__) /* IRIX */ \ ++ || defined (_STDIO_INCLUDED) /* HPUX */ \ ++ || defined (__dj_include_stdio_h_) /* DJGPP */ \ ++ || defined (_FILE_DEFINED) /* Microsoft */ \ ++ || defined (__STDIO__) /* Apple MPW MrC */ \ ++ || defined (_MSL_STDIO_H) /* Metrowerks */ \ ++ || defined (_STDIO_H_INCLUDED) /* QNX4 */ \ ++ || defined (_ISO_STDIO_ISO_H) /* Sun C++ */ \ ++ || defined (__STDIO_LOADED) /* VMS */ ++size_t mpz_out_str (FILE *, int, const mpz_t); ++#endif ++ ++void mpz_import (mpz_t, size_t, int, size_t, int, size_t, const void *); ++void *mpz_export (void *, size_t *, int, size_t, int, size_t, const mpz_t); ++ ++#if defined (__cplusplus) ++} ++#endif ++#endif /* __MINI_GMP_H__ */ +--- a/include/utils.h ++++ b/include/utils.h +@@ -9,14 +9,14 @@ + #include <unistd.h> + #include <assert.h> + #include <list.h> +-#include <gmp.h> ++#include <bignum.h> + + #define BITS_PER_BYTE 8 + + #ifdef DEBUG + #define pr_debug(fmt, arg...) gmp_printf(fmt, ##arg) + #else +-#define pr_debug(fmt, arg...) ({ if (false) gmp_printf(fmt, ##arg); 0; }) ++#define pr_debug(fmt, arg...) + #endif + + #define __fmtstring(x, y) __attribute__((format(printf, x, y))) +--- a/src/Makefile.in ++++ b/src/Makefile.in +@@ -31,3 +31,8 @@ nft-extra-clean-files += parser.c parser + + nft-obj += scanner.o + nft-extra-clean-files += scanner.c scanner.h ++ ++ifneq (@with_libgmp@,yes) ++nft-obj += mini-gmp.o ++nft-obj += mini-gmp-printf.o ++endif +--- a/src/datatype.c ++++ b/src/datatype.c +@@ -252,11 +252,9 @@ static struct error_record *integer_type + struct expr **res) + { + mpz_t v; +- int len; + + mpz_init(v); +- if (gmp_sscanf(sym->identifier, "%Zu%n", v, &len) != 1 || +- (int)strlen(sym->identifier) != len) { ++ if (mpz_set_str(v, sym->identifier, 0)) { + mpz_clear(v); + if (sym->dtype != &integer_type) + return NULL; +--- a/src/erec.c ++++ b/src/erec.c +@@ -43,6 +43,7 @@ static void erec_destroy(struct error_re + xfree(erec); + } + ++__attribute__((format(printf, 3, 0))) + struct error_record *erec_vcreate(enum error_record_types type, + const struct location *loc, + const char *fmt, va_list ap) +@@ -54,10 +55,11 @@ struct error_record *erec_vcreate(enum e + erec->num_locations = 0; + erec_add_location(erec, loc); + +- gmp_vasprintf(&erec->msg, fmt, ap); ++ if (vasprintf(&erec->msg, fmt, ap)) {} + return erec; + } + ++__attribute__((format(printf, 3, 4))) + struct error_record *erec_create(enum error_record_types type, + const struct location *loc, + const char *fmt, ...) +--- a/src/evaluate.c ++++ b/src/evaluate.c +@@ -228,9 +228,13 @@ static int expr_evaluate_value(struct ev + case TYPE_INTEGER: + mpz_init_bitmask(mask, ctx->ectx.len); + if (mpz_cmp((*expr)->value, mask) > 0) { ++ char *valstr = mpz_get_str(NULL, 10, (*expr)->value); ++ char *rangestr = mpz_get_str(NULL, 10, mask); + expr_error(ctx->msgs, *expr, +- "Value %Zu exceeds valid range 0-%Zu", +- (*expr)->value, mask); ++ "Value %s exceeds valid range 0-%s", ++ valstr, rangestr); ++ free(valstr); ++ free(rangestr); + mpz_clear(mask); + return -1; + } +--- a/src/gmputil.c ++++ b/src/gmputil.c +@@ -14,7 +14,6 @@ + #include <stdio.h> + #include <unistd.h> + #include <string.h> +-#include <gmp.h> + + #include <nftables.h> + #include <datatype.h> +--- /dev/null ++++ b/src/mini-gmp-printf.c +@@ -0,0 +1,63 @@ ++#include <stdarg.h> ++#include <stdbool.h> ++#include <stdio.h> ++#include <stdlib.h> ++#include <bignum.h> ++ ++// nftables mostly uses gmp_printf as below so we build a minimalistic ++// version to avoid the awkwardness of wrapping printf. ++// This requires rewriting other occurences of gmp_printf or ++// variants which are rare (only 1 so far). ++// Also we exclude pr_debug here since this is a rathole ++// and if debugging is desired then libgmp can be used. ++ ++int gmp_printf(const char *f, const mpz_t value) ++{ ++ int n = 0; ++ while (*f) { ++ if (*f != '%') { ++ if (fputc(*f, stdout) != *f) ++ return -1; ++ ++ ++n; ++ } else { ++ unsigned long prec = 0; ++ int base; ++ size_t len; ++ char *str; ++ bool ok; ++ ++ if (*++f == '.') ++ prec = strtoul(++f, (char**)&f, 10); ++ ++ if (*f++ != 'Z') ++ return -1; ++ ++ if (*f == 'u') ++ base = 10; ++ else if (*f == 'x') ++ base = 16; ++ else ++ return -1; ++ ++ len = mpz_sizeinbase(value, base); ++ while (--prec >= len) { ++ if (fputc('0', stdout) != '0') ++ return -1; ++ ++ ++n; ++ } ++ ++ str = mpz_get_str(NULL, base, value); ++ ok = str && fwrite(str, 1, len, stdout) == len; ++ free(str); ++ ++ if (!ok) ++ return -1; ++ ++ n += len; ++ } ++ ++f; ++ } ++ return n; ++} +--- /dev/null ++++ b/src/mini-gmp.c +@@ -0,0 +1,4386 @@ ++/* mini-gmp, a minimalistic implementation of a GNU GMP subset. ++ ++ Contributed to the GNU project by Niels Möller ++ ++Copyright 1991-1997, 1999-2014 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/. */ ++ ++/* NOTE: All functions in this file which are not declared in ++ mini-gmp.h are internal, and are not intended to be compatible ++ neither with GMP nor with future versions of mini-gmp. */ ++ ++/* Much of the material copied from GMP files, including: gmp-impl.h, ++ longlong.h, mpn/generic/add_n.c, mpn/generic/addmul_1.c, ++ mpn/generic/lshift.c, mpn/generic/mul_1.c, ++ mpn/generic/mul_basecase.c, mpn/generic/rshift.c, ++ mpn/generic/sbpi1_div_qr.c, mpn/generic/sub_n.c, ++ mpn/generic/submul_1.c. */ ++ ++#include <assert.h> ++#include <ctype.h> ++#include <limits.h> ++#include <stdio.h> ++#include <stdlib.h> ++#include <string.h> ++ ++#include "mini-gmp.h" ++ ++ ++/* Macros */ ++#define GMP_LIMB_BITS (sizeof(mp_limb_t) * CHAR_BIT) ++ ++#define GMP_LIMB_MAX (~ (mp_limb_t) 0) ++#define GMP_LIMB_HIGHBIT ((mp_limb_t) 1 << (GMP_LIMB_BITS - 1)) ++ ++#define GMP_HLIMB_BIT ((mp_limb_t) 1 << (GMP_LIMB_BITS / 2)) ++#define GMP_LLIMB_MASK (GMP_HLIMB_BIT - 1) ++ ++#define GMP_ULONG_BITS (sizeof(unsigned long) * CHAR_BIT) ++#define GMP_ULONG_HIGHBIT ((unsigned long) 1 << (GMP_ULONG_BITS - 1)) ++ ++#define GMP_ABS(x) ((x) >= 0 ? (x) : -(x)) ++#define GMP_NEG_CAST(T,x) (-((T)((x) + 1) - 1)) ++ ++#define GMP_MIN(a, b) ((a) < (b) ? (a) : (b)) ++#define GMP_MAX(a, b) ((a) > (b) ? (a) : (b)) ++ ++#define gmp_assert_nocarry(x) do { \ ++ mp_limb_t __cy = x; \ ++ assert (__cy == 0); \ ++ } while (0) ++ ++#define gmp_clz(count, x) do { \ ++ mp_limb_t __clz_x = (x); \ ++ unsigned __clz_c; \ ++ for (__clz_c = 0; \ ++ (__clz_x & ((mp_limb_t) 0xff << (GMP_LIMB_BITS - 8))) == 0; \ ++ __clz_c += 8) \ ++ __clz_x <<= 8; \ ++ for (; (__clz_x & GMP_LIMB_HIGHBIT) == 0; __clz_c++) \ ++ __clz_x <<= 1; \ ++ (count) = __clz_c; \ ++ } while (0) ++ ++#define gmp_ctz(count, x) do { \ ++ mp_limb_t __ctz_x = (x); \ ++ unsigned __ctz_c = 0; \ ++ gmp_clz (__ctz_c, __ctz_x & - __ctz_x); \ ++ (count) = GMP_LIMB_BITS - 1 - __ctz_c; \ ++ } while (0) ++ ++#define gmp_add_ssaaaa(sh, sl, ah, al, bh, bl) \ ++ do { \ ++ mp_limb_t __x; \ ++ __x = (al) + (bl); \ ++ (sh) = (ah) + (bh) + (__x < (al)); \ ++ (sl) = __x; \ ++ } while (0) ++ ++#define gmp_sub_ddmmss(sh, sl, ah, al, bh, bl) \ ++ do { \ ++ mp_limb_t __x; \ ++ __x = (al) - (bl); \ ++ (sh) = (ah) - (bh) - ((al) < (bl)); \ ++ (sl) = __x; \ ++ } while (0) ++ ++#define gmp_umul_ppmm(w1, w0, u, v) \ ++ do { \ ++ mp_limb_t __x0, __x1, __x2, __x3; \ ++ unsigned __ul, __vl, __uh, __vh; \ ++ mp_limb_t __u = (u), __v = (v); \ ++ \ ++ __ul = __u & GMP_LLIMB_MASK; \ ++ __uh = __u >> (GMP_LIMB_BITS / 2); \ ++ __vl = __v & GMP_LLIMB_MASK; \ ++ __vh = __v >> (GMP_LIMB_BITS / 2); \ ++ \ ++ __x0 = (mp_limb_t) __ul * __vl; \ ++ __x1 = (mp_limb_t) __ul * __vh; \ ++ __x2 = (mp_limb_t) __uh * __vl; \ ++ __x3 = (mp_limb_t) __uh * __vh; \ ++ \ ++ __x1 += __x0 >> (GMP_LIMB_BITS / 2);/* this can't give carry */ \ ++ __x1 += __x2; /* but this indeed can */ \ ++ if (__x1 < __x2) /* did we get it? */ \ ++ __x3 += GMP_HLIMB_BIT; /* yes, add it in the proper pos. */ \ ++ \ ++ (w1) = __x3 + (__x1 >> (GMP_LIMB_BITS / 2)); \ ++ (w0) = (__x1 << (GMP_LIMB_BITS / 2)) + (__x0 & GMP_LLIMB_MASK); \ ++ } while (0) ++ ++#define gmp_udiv_qrnnd_preinv(q, r, nh, nl, d, di) \ ++ do { \ ++ mp_limb_t _qh, _ql, _r, _mask; \ ++ gmp_umul_ppmm (_qh, _ql, (nh), (di)); \ ++ gmp_add_ssaaaa (_qh, _ql, _qh, _ql, (nh) + 1, (nl)); \ ++ _r = (nl) - _qh * (d); \ ++ _mask = -(mp_limb_t) (_r > _ql); /* both > and >= are OK */ \ ++ _qh += _mask; \ ++ _r += _mask & (d); \ ++ if (_r >= (d)) \ ++ { \ ++ _r -= (d); \ ++ _qh++; \ ++ } \ ++ \ ++ (r) = _r; \ ++ (q) = _qh; \ ++ } while (0) ++ ++#define gmp_udiv_qr_3by2(q, r1, r0, n2, n1, n0, d1, d0, dinv) \ ++ do { \ ++ mp_limb_t _q0, _t1, _t0, _mask; \ ++ gmp_umul_ppmm ((q), _q0, (n2), (dinv)); \ ++ gmp_add_ssaaaa ((q), _q0, (q), _q0, (n2), (n1)); \ ++ \ ++ /* Compute the two most significant limbs of n - q'd */ \ ++ (r1) = (n1) - (d1) * (q); \ ++ gmp_sub_ddmmss ((r1), (r0), (r1), (n0), (d1), (d0)); \ ++ gmp_umul_ppmm (_t1, _t0, (d0), (q)); \ ++ gmp_sub_ddmmss ((r1), (r0), (r1), (r0), _t1, _t0); \ ++ (q)++; \ ++ \ ++ /* Conditionally adjust q and the remainders */ \ ++ _mask = - (mp_limb_t) ((r1) >= _q0); \ ++ (q) += _mask; \ ++ gmp_add_ssaaaa ((r1), (r0), (r1), (r0), _mask & (d1), _mask & (d0)); \ ++ if ((r1) >= (d1)) \ ++ { \ ++ if ((r1) > (d1) || (r0) >= (d0)) \ ++ { \ ++ (q)++; \ ++ gmp_sub_ddmmss ((r1), (r0), (r1), (r0), (d1), (d0)); \ ++ } \ ++ } \ ++ } while (0) ++ ++/* Swap macros. */ ++#define MP_LIMB_T_SWAP(x, y) \ ++ do { \ ++ mp_limb_t __mp_limb_t_swap__tmp = (x); \ ++ (x) = (y); \ ++ (y) = __mp_limb_t_swap__tmp; \ ++ } while (0) ++#define MP_SIZE_T_SWAP(x, y) \ ++ do { \ ++ mp_size_t __mp_size_t_swap__tmp = (x); \ ++ (x) = (y); \ ++ (y) = __mp_size_t_swap__tmp; \ ++ } while (0) ++#define MP_BITCNT_T_SWAP(x,y) \ ++ do { \ ++ mp_bitcnt_t __mp_bitcnt_t_swap__tmp = (x); \ ++ (x) = (y); \ ++ (y) = __mp_bitcnt_t_swap__tmp; \ ++ } while (0) ++#define MP_PTR_SWAP(x, y) \ ++ do { \ ++ mp_ptr __mp_ptr_swap__tmp = (x); \ ++ (x) = (y); \ ++ (y) = __mp_ptr_swap__tmp; \ ++ } while (0) ++#define MP_SRCPTR_SWAP(x, y) \ ++ do { \ ++ mp_srcptr __mp_srcptr_swap__tmp = (x); \ ++ (x) = (y); \ ++ (y) = __mp_srcptr_swap__tmp; \ ++ } while (0) ++ ++#define MPN_PTR_SWAP(xp,xs, yp,ys) \ ++ do { \ ++ MP_PTR_SWAP (xp, yp); \ ++ MP_SIZE_T_SWAP (xs, ys); \ ++ } while(0) ++#define MPN_SRCPTR_SWAP(xp,xs, yp,ys) \ ++ do { \ ++ MP_SRCPTR_SWAP (xp, yp); \ ++ MP_SIZE_T_SWAP (xs, ys); \ ++ } while(0) ++ ++#define MPZ_PTR_SWAP(x, y) \ ++ do { \ ++ mpz_ptr __mpz_ptr_swap__tmp = (x); \ ++ (x) = (y); \ ++ (y) = __mpz_ptr_swap__tmp; \ ++ } while (0) ++#define MPZ_SRCPTR_SWAP(x, y) \ ++ do { \ ++ mpz_srcptr __mpz_srcptr_swap__tmp = (x); \ ++ (x) = (y); \ ++ (y) = __mpz_srcptr_swap__tmp; \ ++ } while (0) ++ ++const int mp_bits_per_limb = GMP_LIMB_BITS; ++ ++ ++/* Memory allocation and other helper functions. */ ++static void ++gmp_die (const char *msg) ++{ ++ fprintf (stderr, "%s\n", msg); ++ abort(); ++} ++ ++static void * ++gmp_default_alloc (size_t size) ++{ ++ void *p; ++ ++ assert (size > 0); ++ ++ p = malloc (size); ++ if (!p) ++ gmp_die("gmp_default_alloc: Virtual memory exhausted."); ++ ++ return p; ++} ++ ++static void * ++gmp_default_realloc (void *old, size_t old_size, size_t new_size) ++{ ++ mp_ptr p; ++ ++ p = realloc (old, new_size); ++ ++ if (!p) ++ gmp_die("gmp_default_realoc: Virtual memory exhausted."); ++ ++ return p; ++} ++ ++static void ++gmp_default_free (void *p, size_t size) ++{ ++ free (p); ++} ++ ++static void * (*gmp_allocate_func) (size_t) = gmp_default_alloc; ++static void * (*gmp_reallocate_func) (void *, size_t, size_t) = gmp_default_realloc; ++static void (*gmp_free_func) (void *, size_t) = gmp_default_free; ++ ++void ++mp_get_memory_functions (void *(**alloc_func) (size_t), ++ void *(**realloc_func) (void *, size_t, size_t), ++ void (**free_func) (void *, size_t)) ++{ ++ if (alloc_func) ++ *alloc_func = gmp_allocate_func; ++ ++ if (realloc_func) ++ *realloc_func = gmp_reallocate_func; ++ ++ if (free_func) ++ *free_func = gmp_free_func; ++} ++ ++void ++mp_set_memory_functions (void *(*alloc_func) (size_t), ++ void *(*realloc_func) (void *, size_t, size_t), ++ void (*free_func) (void *, size_t)) ++{ ++ if (!alloc_func) ++ alloc_func = gmp_default_alloc; ++ if (!realloc_func) ++ realloc_func = gmp_default_realloc; ++ if (!free_func) ++ free_func = gmp_default_free; ++ ++ gmp_allocate_func = alloc_func; ++ gmp_reallocate_func = realloc_func; ++ gmp_free_func = free_func; ++} ++ ++#define gmp_xalloc(size) ((*gmp_allocate_func)((size))) ++#define gmp_free(p) ((*gmp_free_func) ((p), 0)) ++ ++static mp_ptr ++gmp_xalloc_limbs (mp_size_t size) ++{ ++ return gmp_xalloc (size * sizeof (mp_limb_t)); ++} ++ ++static mp_ptr ++gmp_xrealloc_limbs (mp_ptr old, mp_size_t size) ++{ ++ assert (size > 0); ++ return (*gmp_reallocate_func) (old, 0, size * sizeof (mp_limb_t)); ++} ++ ++ ++/* MPN interface */ ++ ++void ++mpn_copyi (mp_ptr d, mp_srcptr s, mp_size_t n) ++{ ++ mp_size_t i; ++ for (i = 0; i < n; i++) ++ d[i] = s[i]; ++} ++ ++void ++mpn_copyd (mp_ptr d, mp_srcptr s, mp_size_t n) ++{ ++ while (n-- > 0) ++ d[n] = s[n]; ++} ++ ++int ++mpn_cmp (mp_srcptr ap, mp_srcptr bp, mp_size_t n) ++{ ++ while (--n >= 0) ++ { ++ if (ap[n] != bp[n]) ++ return ap[n] > bp[n] ? 1 : -1; ++ } ++ return 0; ++} ++ ++static int ++mpn_cmp4 (mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn) ++{ ++ if (an != bn) ++ return an < bn ? -1 : 1; ++ else ++ return mpn_cmp (ap, bp, an); ++} ++ ++static mp_size_t ++mpn_normalized_size (mp_srcptr xp, mp_size_t n) ++{ ++ for (; n > 0 && xp[n-1] == 0; n--) ++ ; ++ return n; ++} ++ ++#define mpn_zero_p(xp, n) (mpn_normalized_size ((xp), (n)) == 0) ++ ++void ++mpn_zero (mp_ptr rp, mp_size_t n) ++{ ++ mp_size_t i; ++ ++ for (i = 0; i < n; i++) ++ rp[i] = 0; ++} ++ ++mp_limb_t ++mpn_add_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b) ++{ ++ mp_size_t i; ++ ++ assert (n > 0); ++ i = 0; ++ do ++ { ++ mp_limb_t r = ap[i] + b; ++ /* Carry out */ ++ b = (r < b); ++ rp[i] = r; ++ } ++ while (++i < n); ++ ++ return b; ++} ++ ++mp_limb_t ++mpn_add_n (mp_ptr rp, mp_srcptr ap, mp_srcptr bp, mp_size_t n) ++{ ++ mp_size_t i; ++ mp_limb_t cy; ++ ++ for (i = 0, cy = 0; i < n; i++) ++ { ++ mp_limb_t a, b, r; ++ a = ap[i]; b = bp[i]; ++ r = a + cy; ++ cy = (r < cy); ++ r += b; ++ cy += (r < b); ++ rp[i] = r; ++ } ++ return cy; ++} ++ ++mp_limb_t ++mpn_add (mp_ptr rp, mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn) ++{ ++ mp_limb_t cy; ++ ++ assert (an >= bn); ++ ++ cy = mpn_add_n (rp, ap, bp, bn); ++ if (an > bn) ++ cy = mpn_add_1 (rp + bn, ap + bn, an - bn, cy); ++ return cy; ++} ++ ++mp_limb_t ++mpn_sub_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b) ++{ ++ mp_size_t i; ++ ++ assert (n > 0); ++ ++ i = 0; ++ do ++ { ++ mp_limb_t a = ap[i]; ++ /* Carry out */ ++ mp_limb_t cy = a < b;; ++ rp[i] = a - b; ++ b = cy; ++ } ++ while (++i < n); ++ ++ return b; ++} ++ ++mp_limb_t ++mpn_sub_n (mp_ptr rp, mp_srcptr ap, mp_srcptr bp, mp_size_t n) ++{ ++ mp_size_t i; ++ mp_limb_t cy; ++ ++ for (i = 0, cy = 0; i < n; i++) ++ { ++ mp_limb_t a, b; ++ a = ap[i]; b = bp[i]; ++ b += cy; ++ cy = (b < cy); ++ cy += (a < b); ++ rp[i] = a - b; ++ } ++ return cy; ++} ++ ++mp_limb_t ++mpn_sub (mp_ptr rp, mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn) ++{ ++ mp_limb_t cy; ++ ++ assert (an >= bn); ++ ++ cy = mpn_sub_n (rp, ap, bp, bn); ++ if (an > bn) ++ cy = mpn_sub_1 (rp + bn, ap + bn, an - bn, cy); ++ return cy; ++} ++ ++mp_limb_t ++mpn_mul_1 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl) ++{ ++ mp_limb_t ul, cl, hpl, lpl; ++ ++ assert (n >= 1); ++ ++ cl = 0; ++ do ++ { ++ ul = *up++; ++ gmp_umul_ppmm (hpl, lpl, ul, vl); ++ ++ lpl += cl; ++ cl = (lpl < cl) + hpl; ++ ++ *rp++ = lpl; ++ } ++ while (--n != 0); ++ ++ return cl; ++} ++ ++mp_limb_t ++mpn_addmul_1 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl) ++{ ++ mp_limb_t ul, cl, hpl, lpl, rl; ++ ++ assert (n >= 1); ++ ++ cl = 0; ++ do ++ { ++ ul = *up++; ++ gmp_umul_ppmm (hpl, lpl, ul, vl); ++ ++ lpl += cl; ++ cl = (lpl < cl) + hpl; ++ ++ rl = *rp; ++ lpl = rl + lpl; ++ cl += lpl < rl; ++ *rp++ = lpl; ++ } ++ while (--n != 0); ++ ++ return cl; ++} ++ ++mp_limb_t ++mpn_submul_1 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl) ++{ ++ mp_limb_t ul, cl, hpl, lpl, rl; ++ ++ assert (n >= 1); ++ ++ cl = 0; ++ do ++ { ++ ul = *up++; ++ gmp_umul_ppmm (hpl, lpl, ul, vl); ++ ++ lpl += cl; ++ cl = (lpl < cl) + hpl; ++ ++ rl = *rp; ++ lpl = rl - lpl; ++ cl += lpl > rl; ++ *rp++ = lpl; ++ } ++ while (--n != 0); ++ ++ return cl; ++} ++ ++mp_limb_t ++mpn_mul (mp_ptr rp, mp_srcptr up, mp_size_t un, mp_srcptr vp, mp_size_t vn) ++{ ++ assert (un >= vn); ++ assert (vn >= 1); ++ ++ /* We first multiply by the low order limb. This result can be ++ stored, not added, to rp. We also avoid a loop for zeroing this ++ way. */ ++ ++ rp[un] = mpn_mul_1 (rp, up, un, vp[0]); ++ rp += 1, vp += 1, vn -= 1; ++ ++ /* Now accumulate the product of up[] and the next higher limb from ++ vp[]. */ ++ ++ while (vn >= 1) ++ { ++ rp[un] = mpn_addmul_1 (rp, up, un, vp[0]); ++ rp += 1, vp += 1, vn -= 1; ++ } ++ return rp[un - 1]; ++} ++ ++void ++mpn_mul_n (mp_ptr rp, mp_srcptr ap, mp_srcptr bp, mp_size_t n) ++{ ++ mpn_mul (rp, ap, n, bp, n); ++} ++ ++void ++mpn_sqr (mp_ptr rp, mp_srcptr ap, mp_size_t n) ++{ ++ mpn_mul (rp, ap, n, ap, n); ++} ++ ++mp_limb_t ++mpn_lshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt) ++{ ++ mp_limb_t high_limb, low_limb; ++ unsigned int tnc; ++ mp_size_t i; ++ mp_limb_t retval; ++ ++ assert (n >= 1); ++ assert (cnt >= 1); ++ assert (cnt < GMP_LIMB_BITS); ++ ++ up += n; ++ rp += n; ++ ++ tnc = GMP_LIMB_BITS - cnt; ++ low_limb = *--up; ++ retval = low_limb >> tnc; ++ high_limb = (low_limb << cnt); ++ ++ for (i = n; --i != 0;) ++ { ++ low_limb = *--up; ++ *--rp = high_limb | (low_limb >> tnc); ++ high_limb = (low_limb << cnt); ++ } ++ *--rp = high_limb; ++ ++ return retval; ++} ++ ++mp_limb_t ++mpn_rshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt) ++{ ++ mp_limb_t high_limb, low_limb; ++ unsigned int tnc; ++ mp_size_t i; ++ mp_limb_t retval; ++ ++ assert (n >= 1); ++ assert (cnt >= 1); ++ assert (cnt < GMP_LIMB_BITS); ++ ++ tnc = GMP_LIMB_BITS - cnt; ++ high_limb = *up++; ++ retval = (high_limb << tnc); ++ low_limb = high_limb >> cnt; ++ ++ for (i = n; --i != 0;) ++ { ++ high_limb = *up++; ++ *rp++ = low_limb | (high_limb << tnc); ++ low_limb = high_limb >> cnt; ++ } ++ *rp = low_limb; ++ ++ return retval; ++} ++ ++static mp_bitcnt_t ++mpn_common_scan (mp_limb_t limb, mp_size_t i, mp_srcptr up, mp_size_t un, ++ mp_limb_t ux) ++{ ++ unsigned cnt; ++ ++ assert (ux == 0 || ux == GMP_LIMB_MAX); ++ assert (0 <= i && i <= un ); ++ ++ while (limb == 0) ++ { ++ i++; ++ if (i == un) ++ return (ux == 0 ? ~(mp_bitcnt_t) 0 : un * GMP_LIMB_BITS); ++ limb = ux ^ up[i]; ++ } ++ gmp_ctz (cnt, limb); ++ return (mp_bitcnt_t) i * GMP_LIMB_BITS + cnt; ++} ++ ++mp_bitcnt_t ++mpn_scan1 (mp_srcptr ptr, mp_bitcnt_t bit) ++{ ++ mp_size_t i; ++ i = bit / GMP_LIMB_BITS; ++ ++ return mpn_common_scan ( ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)), ++ i, ptr, i, 0); ++} ++ ++mp_bitcnt_t ++mpn_scan0 (mp_srcptr ptr, mp_bitcnt_t bit) ++{ ++ mp_size_t i; ++ i = bit / GMP_LIMB_BITS; ++ ++ return mpn_common_scan (~ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)), ++ i, ptr, i, GMP_LIMB_MAX); ++} ++ ++ ++/* MPN division interface. */ ++mp_limb_t ++mpn_invert_3by2 (mp_limb_t u1, mp_limb_t u0) ++{ ++ mp_limb_t r, p, m; ++ unsigned ul, uh; ++ unsigned ql, qh; ++ ++ /* First, do a 2/1 inverse. */ ++ /* The inverse m is defined as floor( (B^2 - 1 - u1)/u1 ), so that 0 < ++ * B^2 - (B + m) u1 <= u1 */ ++ assert (u1 >= GMP_LIMB_HIGHBIT); ++ ++ ul = u1 & GMP_LLIMB_MASK; ++ uh = u1 >> (GMP_LIMB_BITS / 2); ++ ++ qh = ~u1 / uh; ++ r = ((~u1 - (mp_limb_t) qh * uh) << (GMP_LIMB_BITS / 2)) | GMP_LLIMB_MASK; ++ ++ p = (mp_limb_t) qh * ul; ++ /* Adjustment steps taken from udiv_qrnnd_c */ ++ if (r < p) ++ { ++ qh--; ++ r += u1; ++ if (r >= u1) /* i.e. we didn't get carry when adding to r */ ++ if (r < p) ++ { ++ qh--; ++ r += u1; ++ } ++ } ++ r -= p; ++ ++ /* Do a 3/2 division (with half limb size) */ ++ p = (r >> (GMP_LIMB_BITS / 2)) * qh + r; ++ ql = (p >> (GMP_LIMB_BITS / 2)) + 1; ++ ++ /* By the 3/2 method, we don't need the high half limb. */ ++ r = (r << (GMP_LIMB_BITS / 2)) + GMP_LLIMB_MASK - ql * u1; ++ ++ if (r >= (p << (GMP_LIMB_BITS / 2))) ++ { ++ ql--; ++ r += u1; ++ } ++ m = ((mp_limb_t) qh << (GMP_LIMB_BITS / 2)) + ql; ++ if (r >= u1) ++ { ++ m++; ++ r -= u1; ++ } ++ ++ if (u0 > 0) ++ { ++ mp_limb_t th, tl; ++ r = ~r; ++ r += u0; ++ if (r < u0) ++ { ++ m--; ++ if (r >= u1) ++ { ++ m--; ++ r -= u1; ++ } ++ r -= u1; ++ } ++ gmp_umul_ppmm (th, tl, u0, m); ++ r += th; ++ if (r < th) ++ { ++ m--; ++ m -= ((r > u1) | ((r == u1) & (tl > u0))); ++ } ++ } ++ ++ return m; ++} ++ ++struct gmp_div_inverse ++{ ++ /* Normalization shift count. */ ++ unsigned shift; ++ /* Normalized divisor (d0 unused for mpn_div_qr_1) */ ++ mp_limb_t d1, d0; ++ /* Inverse, for 2/1 or 3/2. */ ++ mp_limb_t di; ++}; ++ ++static void ++mpn_div_qr_1_invert (struct gmp_div_inverse *inv, mp_limb_t d) ++{ ++ unsigned shift; ++ ++ assert (d > 0); ++ gmp_clz (shift, d); ++ inv->shift = shift; ++ inv->d1 = d << shift; ++ inv->di = mpn_invert_limb (inv->d1); ++} ++ ++static void ++mpn_div_qr_2_invert (struct gmp_div_inverse *inv, ++ mp_limb_t d1, mp_limb_t d0) ++{ ++ unsigned shift; ++ ++ assert (d1 > 0); ++ gmp_clz (shift, d1); ++ inv->shift = shift; ++ if (shift > 0) ++ { ++ d1 = (d1 << shift) | (d0 >> (GMP_LIMB_BITS - shift)); ++ d0 <<= shift; ++ } ++ inv->d1 = d1; ++ inv->d0 = d0; ++ inv->di = mpn_invert_3by2 (d1, d0); ++} ++ ++static void ++mpn_div_qr_invert (struct gmp_div_inverse *inv, ++ mp_srcptr dp, mp_size_t dn) ++{ ++ assert (dn > 0); ++ ++ if (dn == 1) ++ mpn_div_qr_1_invert (inv, dp[0]); ++ else if (dn == 2) ++ mpn_div_qr_2_invert (inv, dp[1], dp[0]); ++ else ++ { ++ unsigned shift; ++ mp_limb_t d1, d0; ++ ++ d1 = dp[dn-1]; ++ d0 = dp[dn-2]; ++ assert (d1 > 0); ++ gmp_clz (shift, d1); ++ inv->shift = shift; ++ if (shift > 0) ++ { ++ d1 = (d1 << shift) | (d0 >> (GMP_LIMB_BITS - shift)); ++ d0 = (d0 << shift) | (dp[dn-3] >> (GMP_LIMB_BITS - shift)); ++ } ++ inv->d1 = d1; ++ inv->d0 = d0; ++ inv->di = mpn_invert_3by2 (d1, d0); ++ } ++} ++ ++/* Not matching current public gmp interface, rather corresponding to ++ the sbpi1_div_* functions. */ ++static mp_limb_t ++mpn_div_qr_1_preinv (mp_ptr qp, mp_srcptr np, mp_size_t nn, ++ const struct gmp_div_inverse *inv) ++{ ++ mp_limb_t d, di; ++ mp_limb_t r; ++ mp_ptr tp = NULL; ++ ++ if (inv->shift > 0) ++ { ++ tp = gmp_xalloc_limbs (nn); ++ r = mpn_lshift (tp, np, nn, inv->shift); ++ np = tp; ++ } ++ else ++ r = 0; ++ ++ d = inv->d1; ++ di = inv->di; ++ while (nn-- > 0) ++ { ++ mp_limb_t q; ++ ++ gmp_udiv_qrnnd_preinv (q, r, r, np[nn], d, di); ++ if (qp) ++ qp[nn] = q; ++ } ++ if (inv->shift > 0) ++ gmp_free (tp); ++ ++ return r >> inv->shift; ++} ++ ++static mp_limb_t ++mpn_div_qr_1 (mp_ptr qp, mp_srcptr np, mp_size_t nn, mp_limb_t d) ++{ ++ assert (d > 0); ++ ++ /* Special case for powers of two. */ ++ if ((d & (d-1)) == 0) ++ { ++ mp_limb_t r = np[0] & (d-1); ++ if (qp) ++ { ++ if (d <= 1) ++ mpn_copyi (qp, np, nn); ++ else ++ { ++ unsigned shift; ++ gmp_ctz (shift, d); ++ mpn_rshift (qp, np, nn, shift); ++ } ++ } ++ return r; ++ } ++ else ++ { ++ struct gmp_div_inverse inv; ++ mpn_div_qr_1_invert (&inv, d); ++ return mpn_div_qr_1_preinv (qp, np, nn, &inv); ++ } ++} ++ ++static void ++mpn_div_qr_2_preinv (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn, ++ const struct gmp_div_inverse *inv) ++{ ++ unsigned shift; ++ mp_size_t i; ++ mp_limb_t d1, d0, di, r1, r0; ++ mp_ptr tp; ++ ++ assert (nn >= 2); ++ shift = inv->shift; ++ d1 = inv->d1; ++ d0 = inv->d0; ++ di = inv->di; ++ ++ if (shift > 0) ++ { ++ tp = gmp_xalloc_limbs (nn); ++ r1 = mpn_lshift (tp, np, nn, shift); ++ np = tp; ++ } ++ else ++ r1 = 0; ++ ++ r0 = np[nn - 1]; ++ ++ i = nn - 2; ++ do ++ { ++ mp_limb_t n0, q; ++ n0 = np[i]; ++ gmp_udiv_qr_3by2 (q, r1, r0, r1, r0, n0, d1, d0, di); ++ ++ if (qp) ++ qp[i] = q; ++ } ++ while (--i >= 0); ++ ++ if (shift > 0) ++ { ++ assert ((r0 << (GMP_LIMB_BITS - shift)) == 0); ++ r0 = (r0 >> shift) | (r1 << (GMP_LIMB_BITS - shift)); ++ r1 >>= shift; ++ ++ gmp_free (tp); ++ } ++ ++ rp[1] = r1; ++ rp[0] = r0; ++} ++ ++#if 0 ++static void ++mpn_div_qr_2 (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn, ++ mp_limb_t d1, mp_limb_t d0) ++{ ++ struct gmp_div_inverse inv; ++ assert (nn >= 2); ++ ++ mpn_div_qr_2_invert (&inv, d1, d0); ++ mpn_div_qr_2_preinv (qp, rp, np, nn, &inv); ++} ++#endif ++ ++static void ++mpn_div_qr_pi1 (mp_ptr qp, ++ mp_ptr np, mp_size_t nn, mp_limb_t n1, ++ mp_srcptr dp, mp_size_t dn, ++ mp_limb_t dinv) ++{ ++ mp_size_t i; ++ ++ mp_limb_t d1, d0; ++ mp_limb_t cy, cy1; ++ mp_limb_t q; ++ ++ assert (dn > 2); ++ assert (nn >= dn); ++ ++ d1 = dp[dn - 1]; ++ d0 = dp[dn - 2]; ++ ++ assert ((d1 & GMP_LIMB_HIGHBIT) != 0); ++ /* Iteration variable is the index of the q limb. ++ * ++ * We divide <n1, np[dn-1+i], np[dn-2+i], np[dn-3+i],..., np[i]> ++ * by <d1, d0, dp[dn-3], ..., dp[0] > ++ */ ++ ++ i = nn - dn; ++ do ++ { ++ mp_limb_t n0 = np[dn-1+i]; ++ ++ if (n1 == d1 && n0 == d0) ++ { ++ q = GMP_LIMB_MAX; ++ mpn_submul_1 (np+i, dp, dn, q); ++ n1 = np[dn-1+i]; /* update n1, last loop's value will now be invalid */ ++ } ++ else ++ { ++ gmp_udiv_qr_3by2 (q, n1, n0, n1, n0, np[dn-2+i], d1, d0, dinv); ++ ++ cy = mpn_submul_1 (np + i, dp, dn-2, q); ++ ++ cy1 = n0 < cy; ++ n0 = n0 - cy; ++ cy = n1 < cy1; ++ n1 = n1 - cy1; ++ np[dn-2+i] = n0; ++ ++ if (cy != 0) ++ { ++ n1 += d1 + mpn_add_n (np + i, np + i, dp, dn - 1); ++ q--; ++ } ++ } ++ ++ if (qp) ++ qp[i] = q; ++ } ++ while (--i >= 0); ++ ++ np[dn - 1] = n1; ++} ++ ++static void ++mpn_div_qr_preinv (mp_ptr qp, mp_ptr np, mp_size_t nn, ++ mp_srcptr dp, mp_size_t dn, ++ const struct gmp_div_inverse *inv) ++{ ++ assert (dn > 0); ++ assert (nn >= dn); ++ ++ if (dn == 1) ++ np[0] = mpn_div_qr_1_preinv (qp, np, nn, inv); ++ else if (dn == 2) ++ mpn_div_qr_2_preinv (qp, np, np, nn, inv); ++ else ++ { ++ mp_limb_t nh; ++ unsigned shift; ++ ++ assert (inv->d1 == dp[dn-1]); ++ assert (inv->d0 == dp[dn-2]); ++ assert ((inv->d1 & GMP_LIMB_HIGHBIT) != 0); ++ ++ shift = inv->shift; ++ if (shift > 0) ++ nh = mpn_lshift (np, np, nn, shift); ++ else ++ nh = 0; ++ ++ mpn_div_qr_pi1 (qp, np, nn, nh, dp, dn, inv->di); ++ ++ if (shift > 0) ++ gmp_assert_nocarry (mpn_rshift (np, np, dn, shift)); ++ } ++} ++ ++static void ++mpn_div_qr (mp_ptr qp, mp_ptr np, mp_size_t nn, mp_srcptr dp, mp_size_t dn) ++{ ++ struct gmp_div_inverse inv; ++ mp_ptr tp = NULL; ++ ++ assert (dn > 0); ++ assert (nn >= dn); ++ ++ mpn_div_qr_invert (&inv, dp, dn); ++ if (dn > 2 && inv.shift > 0) ++ { ++ tp = gmp_xalloc_limbs (dn); ++ gmp_assert_nocarry (mpn_lshift (tp, dp, dn, inv.shift)); ++ dp = tp; ++ } ++ mpn_div_qr_preinv (qp, np, nn, dp, dn, &inv); ++ if (tp) ++ gmp_free (tp); ++} ++ ++ ++/* MPN base conversion. */ ++static unsigned ++mpn_base_power_of_two_p (unsigned b) ++{ ++ switch (b) ++ { ++ case 2: return 1; ++ case 4: return 2; ++ case 8: return 3; ++ case 16: return 4; ++ case 32: return 5; ++ case 64: return 6; ++ case 128: return 7; ++ case 256: return 8; ++ default: return 0; ++ } ++} ++ ++struct mpn_base_info ++{ ++ /* bb is the largest power of the base which fits in one limb, and ++ exp is the corresponding exponent. */ ++ unsigned exp; ++ mp_limb_t bb; ++}; ++ ++static void ++mpn_get_base_info (struct mpn_base_info *info, mp_limb_t b) ++{ ++ mp_limb_t m; ++ mp_limb_t p; ++ unsigned exp; ++ ++ m = GMP_LIMB_MAX / b; ++ for (exp = 1, p = b; p <= m; exp++) ++ p *= b; ++ ++ info->exp = exp; ++ info->bb = p; ++} ++ ++static mp_bitcnt_t ++mpn_limb_size_in_base_2 (mp_limb_t u) ++{ ++ unsigned shift; ++ ++ assert (u > 0); ++ gmp_clz (shift, u); ++ return GMP_LIMB_BITS - shift; ++} ++ ++static size_t ++mpn_get_str_bits (unsigned char *sp, unsigned bits, mp_srcptr up, mp_size_t un) ++{ ++ unsigned char mask; ++ size_t sn, j; ++ mp_size_t i; ++ int shift; ++ ++ sn = ((un - 1) * GMP_LIMB_BITS + mpn_limb_size_in_base_2 (up[un-1]) ++ + bits - 1) / bits; ++ ++ mask = (1U << bits) - 1; ++ ++ for (i = 0, j = sn, shift = 0; j-- > 0;) ++ { ++ unsigned char digit = up[i] >> shift; ++ ++ shift += bits; ++ ++ if (shift >= GMP_LIMB_BITS && ++i < un) ++ { ++ shift -= GMP_LIMB_BITS; ++ digit |= up[i] << (bits - shift); ++ } ++ sp[j] = digit & mask; ++ } ++ return sn; ++} ++ ++/* We generate digits from the least significant end, and reverse at ++ the end. */ ++static size_t ++mpn_limb_get_str (unsigned char *sp, mp_limb_t w, ++ const struct gmp_div_inverse *binv) ++{ ++ mp_size_t i; ++ for (i = 0; w > 0; i++) ++ { ++ mp_limb_t h, l, r; ++ ++ h = w >> (GMP_LIMB_BITS - binv->shift); ++ l = w << binv->shift; ++ ++ gmp_udiv_qrnnd_preinv (w, r, h, l, binv->d1, binv->di); ++ assert ( (r << (GMP_LIMB_BITS - binv->shift)) == 0); ++ r >>= binv->shift; ++ ++ sp[i] = r; ++ } ++ return i; ++} ++ ++static size_t ++mpn_get_str_other (unsigned char *sp, ++ int base, const struct mpn_base_info *info, ++ mp_ptr up, mp_size_t un) ++{ ++ struct gmp_div_inverse binv; ++ size_t sn; ++ size_t i; ++ ++ mpn_div_qr_1_invert (&binv, base); ++ ++ sn = 0; ++ ++ if (un > 1) ++ { ++ struct gmp_div_inverse bbinv; ++ mpn_div_qr_1_invert (&bbinv, info->bb); ++ ++ do ++ { ++ mp_limb_t w; ++ size_t done; ++ w = mpn_div_qr_1_preinv (up, up, un, &bbinv); ++ un -= (up[un-1] == 0); ++ done = mpn_limb_get_str (sp + sn, w, &binv); ++ ++ for (sn += done; done < info->exp; done++) ++ sp[sn++] = 0; ++ } ++ while (un > 1); ++ } ++ sn += mpn_limb_get_str (sp + sn, up[0], &binv); ++ ++ /* Reverse order */ ++ for (i = 0; 2*i + 1 < sn; i++) ++ { ++ unsigned char t = sp[i]; ++ sp[i] = sp[sn - i - 1]; ++ sp[sn - i - 1] = t; ++ } ++ ++ return sn; ++} ++ ++size_t ++mpn_get_str (unsigned char *sp, int base, mp_ptr up, mp_size_t un) ++{ ++ unsigned bits; ++ ++ assert (un > 0); ++ assert (up[un-1] > 0); ++ ++ bits = mpn_base_power_of_two_p (base); ++ if (bits) ++ return mpn_get_str_bits (sp, bits, up, un); ++ else ++ { ++ struct mpn_base_info info; ++ ++ mpn_get_base_info (&info, base); ++ return mpn_get_str_other (sp, base, &info, up, un); ++ } ++} ++ ++static mp_size_t ++mpn_set_str_bits (mp_ptr rp, const unsigned char *sp, size_t sn, ++ unsigned bits) ++{ ++ mp_size_t rn; ++ size_t j; ++ unsigned shift; ++ ++ for (j = sn, rn = 0, shift = 0; j-- > 0; ) ++ { ++ if (shift == 0) ++ { ++ rp[rn++] = sp[j]; ++ shift += bits; ++ } ++ else ++ { ++ rp[rn-1] |= (mp_limb_t) sp[j] << shift; ++ shift += bits; ++ if (shift >= GMP_LIMB_BITS) ++ { ++ shift -= GMP_LIMB_BITS; ++ if (shift > 0) ++ rp[rn++] = (mp_limb_t) sp[j] >> (bits - shift); ++ } ++ } ++ } ++ rn = mpn_normalized_size (rp, rn); ++ return rn; ++} ++ ++static mp_size_t ++mpn_set_str_other (mp_ptr rp, const unsigned char *sp, size_t sn, ++ mp_limb_t b, const struct mpn_base_info *info) ++{ ++ mp_size_t rn; ++ mp_limb_t w; ++ unsigned k; ++ size_t j; ++ ++ k = 1 + (sn - 1) % info->exp; ++ ++ j = 0; ++ w = sp[j++]; ++ for (; --k > 0; ) ++ w = w * b + sp[j++]; ++ ++ rp[0] = w; ++ ++ for (rn = (w > 0); j < sn;) ++ { ++ mp_limb_t cy; ++ ++ w = sp[j++]; ++ for (k = 1; k < info->exp; k++) ++ w = w * b + sp[j++]; ++ ++ cy = mpn_mul_1 (rp, rp, rn, info->bb); ++ cy += mpn_add_1 (rp, rp, rn, w); ++ if (cy > 0) ++ rp[rn++] = cy; ++ } ++ assert (j == sn); ++ ++ return rn; ++} ++ ++mp_size_t ++mpn_set_str (mp_ptr rp, const unsigned char *sp, size_t sn, int base) ++{ ++ unsigned bits; ++ ++ if (sn == 0) ++ return 0; ++ ++ bits = mpn_base_power_of_two_p (base); ++ if (bits) ++ return mpn_set_str_bits (rp, sp, sn, bits); ++ else ++ { ++ struct mpn_base_info info; ++ ++ mpn_get_base_info (&info, base); ++ return mpn_set_str_other (rp, sp, sn, base, &info); ++ } ++} ++ ++ ++/* MPZ interface */ ++void ++mpz_init (mpz_t r) ++{ ++ r->_mp_alloc = 1; ++ r->_mp_size = 0; ++ r->_mp_d = gmp_xalloc_limbs (1); ++} ++ ++/* The utility of this function is a bit limited, since many functions ++ assigns the result variable using mpz_swap. */ ++void ++mpz_init2 (mpz_t r, mp_bitcnt_t bits) ++{ ++ mp_size_t rn; ++ ++ bits -= (bits != 0); /* Round down, except if 0 */ ++ rn = 1 + bits / GMP_LIMB_BITS; ++ ++ r->_mp_alloc = rn; ++ r->_mp_size = 0; ++ r->_mp_d = gmp_xalloc_limbs (rn); ++} ++ ++void ++mpz_clear (mpz_t r) ++{ ++ gmp_free (r->_mp_d); ++} ++ ++static void * ++mpz_realloc (mpz_t r, mp_size_t size) ++{ ++ size = GMP_MAX (size, 1); ++ ++ r->_mp_d = gmp_xrealloc_limbs (r->_mp_d, size); ++ r->_mp_alloc = size; ++ ++ if (GMP_ABS (r->_mp_size) > size) ++ r->_mp_size = 0; ++ ++ return r->_mp_d; ++} ++ ++/* Realloc for an mpz_t WHAT if it has less than NEEDED limbs. */ ++#define MPZ_REALLOC(z,n) ((n) > (z)->_mp_alloc \ ++ ? mpz_realloc(z,n) \ ++ : (z)->_mp_d) ++ ++/* MPZ assignment and basic conversions. */ ++void ++mpz_set_si (mpz_t r, signed long int x) ++{ ++ if (x >= 0) ++ mpz_set_ui (r, x); ++ else /* (x < 0) */ ++ { ++ r->_mp_size = -1; ++ r->_mp_d[0] = GMP_NEG_CAST (unsigned long int, x); ++ } ++} ++ ++void ++mpz_set_ui (mpz_t r, unsigned long int x) ++{ ++ if (x > 0) ++ { ++ r->_mp_size = 1; ++ r->_mp_d[0] = x; ++ } ++ else ++ r->_mp_size = 0; ++} ++ ++void ++mpz_set (mpz_t r, const mpz_t x) ++{ ++ /* Allow the NOP r == x */ ++ if (r != x) ++ { ++ mp_size_t n; ++ mp_ptr rp; ++ ++ n = GMP_ABS (x->_mp_size); ++ rp = MPZ_REALLOC (r, n); ++ ++ mpn_copyi (rp, x->_mp_d, n); ++ r->_mp_size = x->_mp_size; ++ } ++} ++ ++void ++mpz_init_set_si (mpz_t r, signed long int x) ++{ ++ mpz_init (r); ++ mpz_set_si (r, x); ++} ++ ++void ++mpz_init_set_ui (mpz_t r, unsigned long int x) ++{ ++ mpz_init (r); ++ mpz_set_ui (r, x); ++} ++ ++void ++mpz_init_set (mpz_t r, const mpz_t x) ++{ ++ mpz_init (r); ++ mpz_set (r, x); ++} ++ ++int ++mpz_fits_slong_p (const mpz_t u) ++{ ++ mp_size_t us = u->_mp_size; ++ ++ if (us == 0) ++ return 1; ++ else if (us == 1) ++ return u->_mp_d[0] < GMP_LIMB_HIGHBIT; ++ else if (us == -1) ++ return u->_mp_d[0] <= GMP_LIMB_HIGHBIT; ++ else ++ return 0; ++} ++ ++int ++mpz_fits_ulong_p (const mpz_t u) ++{ ++ mp_size_t us = u->_mp_size; ++ ++ return (us == (us > 0)); ++} ++ ++long int ++mpz_get_si (const mpz_t u) ++{ ++ mp_size_t us = u->_mp_size; ++ ++ if (us > 0) ++ return (long) (u->_mp_d[0] & ~GMP_LIMB_HIGHBIT); ++ else if (us < 0) ++ return (long) (- u->_mp_d[0] | GMP_LIMB_HIGHBIT); ++ else ++ return 0; ++} ++ ++unsigned long int ++mpz_get_ui (const mpz_t u) ++{ ++ return u->_mp_size == 0 ? 0 : u->_mp_d[0]; ++} ++ ++size_t ++mpz_size (const mpz_t u) ++{ ++ return GMP_ABS (u->_mp_size); ++} ++ ++mp_limb_t ++mpz_getlimbn (const mpz_t u, mp_size_t n) ++{ ++ if (n >= 0 && n < GMP_ABS (u->_mp_size)) ++ return u->_mp_d[n]; ++ else ++ return 0; ++} ++ ++void ++mpz_realloc2 (mpz_t x, mp_bitcnt_t n) ++{ ++ mpz_realloc (x, 1 + (n - (n != 0)) / GMP_LIMB_BITS); ++} ++ ++mp_srcptr ++mpz_limbs_read (mpz_srcptr x) ++{ ++ return x->_mp_d;; ++} ++ ++mp_ptr ++mpz_limbs_modify (mpz_t x, mp_size_t n) ++{ ++ assert (n > 0); ++ return MPZ_REALLOC (x, n); ++} ++ ++mp_ptr ++mpz_limbs_write (mpz_t x, mp_size_t n) ++{ ++ return mpz_limbs_modify (x, n); ++} ++ ++void ++mpz_limbs_finish (mpz_t x, mp_size_t xs) ++{ ++ mp_size_t xn; ++ xn = mpn_normalized_size (x->_mp_d, GMP_ABS (xs)); ++ x->_mp_size = xs < 0 ? -xn : xn; ++} ++ ++mpz_srcptr ++mpz_roinit_n (mpz_t x, mp_srcptr xp, mp_size_t xs) ++{ ++ x->_mp_alloc = 0; ++ x->_mp_d = (mp_ptr) xp; ++ mpz_limbs_finish (x, xs); ++ return x; ++} ++ ++ ++/* Conversions and comparison to double. */ ++void ++mpz_set_d (mpz_t r, double x) ++{ ++ int sign; ++ mp_ptr rp; ++ mp_size_t rn, i; ++ double B; ++ double Bi; ++ mp_limb_t f; ++ ++ /* x != x is true when x is a NaN, and x == x * 0.5 is true when x is ++ zero or infinity. */ ++ if (x != x || x == x * 0.5) ++ { ++ r->_mp_size = 0; ++ return; ++ } ++ ++ sign = x < 0.0 ; ++ if (sign) ++ x = - x; ++ ++ if (x < 1.0) ++ { ++ r->_mp_size = 0; ++ return; ++ } ++ B = 2.0 * (double) GMP_LIMB_HIGHBIT; ++ Bi = 1.0 / B; ++ for (rn = 1; x >= B; rn++) ++ x *= Bi; ++ ++ rp = MPZ_REALLOC (r, rn); ++ ++ f = (mp_limb_t) x; ++ x -= f; ++ assert (x < 1.0); ++ i = rn-1; ++ rp[i] = f; ++ while (--i >= 0) ++ { ++ x = B * x; ++ f = (mp_limb_t) x; ++ x -= f; ++ assert (x < 1.0); ++ rp[i] = f; ++ } ++ ++ r->_mp_size = sign ? - rn : rn; ++} ++ ++void ++mpz_init_set_d (mpz_t r, double x) ++{ ++ mpz_init (r); ++ mpz_set_d (r, x); ++} ++ ++double ++mpz_get_d (const mpz_t u) ++{ ++ mp_size_t un; ++ double x; ++ double B = 2.0 * (double) GMP_LIMB_HIGHBIT; ++ ++ un = GMP_ABS (u->_mp_size); ++ ++ if (un == 0) ++ return 0.0; ++ ++ x = u->_mp_d[--un]; ++ while (un > 0) ++ x = B*x + u->_mp_d[--un]; ++ ++ if (u->_mp_size < 0) ++ x = -x; ++ ++ return x; ++} ++ ++int ++mpz_cmpabs_d (const mpz_t x, double d) ++{ ++ mp_size_t xn; ++ double B, Bi; ++ mp_size_t i; ++ ++ xn = x->_mp_size; ++ d = GMP_ABS (d); ++ ++ if (xn != 0) ++ { ++ xn = GMP_ABS (xn); ++ ++ B = 2.0 * (double) GMP_LIMB_HIGHBIT; ++ Bi = 1.0 / B; ++ ++ /* Scale d so it can be compared with the top limb. */ ++ for (i = 1; i < xn; i++) ++ d *= Bi; ++ ++ if (d >= B) ++ return -1; ++ ++ /* Compare floor(d) to top limb, subtract and cancel when equal. */ ++ for (i = xn; i-- > 0;) ++ { ++ mp_limb_t f, xl; ++ ++ f = (mp_limb_t) d; ++ xl = x->_mp_d[i]; ++ if (xl > f) ++ return 1; ++ else if (xl < f) ++ return -1; ++ d = B * (d - f); ++ } ++ } ++ return - (d > 0.0); ++} ++ ++int ++mpz_cmp_d (const mpz_t x, double d) ++{ ++ if (x->_mp_size < 0) ++ { ++ if (d >= 0.0) ++ return -1; ++ else ++ return -mpz_cmpabs_d (x, d); ++ } ++ else ++ { ++ if (d < 0.0) ++ return 1; ++ else ++ return mpz_cmpabs_d (x, d); ++ } ++} ++ ++ ++/* MPZ comparisons and the like. */ ++int ++mpz_sgn (const mpz_t u) ++{ ++ mp_size_t usize = u->_mp_size; ++ ++ return (usize > 0) - (usize < 0); ++} ++ ++int ++mpz_cmp_si (const mpz_t u, long v) ++{ ++ mp_size_t usize = u->_mp_size; ++ ++ if (usize < -1) ++ return -1; ++ else if (v >= 0) ++ return mpz_cmp_ui (u, v); ++ else if (usize >= 0) ++ return 1; ++ else /* usize == -1 */ ++ { ++ mp_limb_t ul = u->_mp_d[0]; ++ if ((mp_limb_t)GMP_NEG_CAST (unsigned long int, v) < ul) ++ return -1; ++ else ++ return (mp_limb_t)GMP_NEG_CAST (unsigned long int, v) > ul; ++ } ++} ++ ++int ++mpz_cmp_ui (const mpz_t u, unsigned long v) ++{ ++ mp_size_t usize = u->_mp_size; ++ ++ if (usize > 1) ++ return 1; ++ else if (usize < 0) ++ return -1; ++ else ++ { ++ mp_limb_t ul = (usize > 0) ? u->_mp_d[0] : 0; ++ return (ul > v) - (ul < v); ++ } ++} ++ ++int ++mpz_cmp (const mpz_t a, const mpz_t b) ++{ ++ mp_size_t asize = a->_mp_size; ++ mp_size_t bsize = b->_mp_size; ++ ++ if (asize != bsize) ++ return (asize < bsize) ? -1 : 1; ++ else if (asize >= 0) ++ return mpn_cmp (a->_mp_d, b->_mp_d, asize); ++ else ++ return mpn_cmp (b->_mp_d, a->_mp_d, -asize); ++} ++ ++int ++mpz_cmpabs_ui (const mpz_t u, unsigned long v) ++{ ++ mp_size_t un = GMP_ABS (u->_mp_size); ++ mp_limb_t ul; ++ ++ if (un > 1) ++ return 1; ++ ++ ul = (un == 1) ? u->_mp_d[0] : 0; ++ ++ return (ul > v) - (ul < v); ++} ++ ++int ++mpz_cmpabs (const mpz_t u, const mpz_t v) ++{ ++ return mpn_cmp4 (u->_mp_d, GMP_ABS (u->_mp_size), ++ v->_mp_d, GMP_ABS (v->_mp_size)); ++} ++ ++void ++mpz_abs (mpz_t r, const mpz_t u) ++{ ++ if (r != u) ++ mpz_set (r, u); ++ ++ r->_mp_size = GMP_ABS (r->_mp_size); ++} ++ ++void ++mpz_neg (mpz_t r, const mpz_t u) ++{ ++ if (r != u) ++ mpz_set (r, u); ++ ++ r->_mp_size = -r->_mp_size; ++} ++ ++void ++mpz_swap (mpz_t u, mpz_t v) ++{ ++ MP_SIZE_T_SWAP (u->_mp_size, v->_mp_size); ++ MP_SIZE_T_SWAP (u->_mp_alloc, v->_mp_alloc); ++ MP_PTR_SWAP (u->_mp_d, v->_mp_d); ++} ++ ++ ++/* MPZ addition and subtraction */ ++ ++/* Adds to the absolute value. Returns new size, but doesn't store it. */ ++static mp_size_t ++mpz_abs_add_ui (mpz_t r, const mpz_t a, unsigned long b) ++{ ++ mp_size_t an; ++ mp_ptr rp; ++ mp_limb_t cy; ++ ++ an = GMP_ABS (a->_mp_size); ++ if (an == 0) ++ { ++ r->_mp_d[0] = b; ++ return b > 0; ++ } ++ ++ rp = MPZ_REALLOC (r, an + 1); ++ ++ cy = mpn_add_1 (rp, a->_mp_d, an, b); ++ rp[an] = cy; ++ an += cy; ++ ++ return an; ++} ++ ++/* Subtract from the absolute value. Returns new size, (or -1 on underflow), ++ but doesn't store it. */ ++static mp_size_t ++mpz_abs_sub_ui (mpz_t r, const mpz_t a, unsigned long b) ++{ ++ mp_size_t an = GMP_ABS (a->_mp_size); ++ mp_ptr rp = MPZ_REALLOC (r, an); ++ ++ if (an == 0) ++ { ++ rp[0] = b; ++ return -(b > 0); ++ } ++ else if (an == 1 && a->_mp_d[0] < b) ++ { ++ rp[0] = b - a->_mp_d[0]; ++ return -1; ++ } ++ else ++ { ++ gmp_assert_nocarry (mpn_sub_1 (rp, a->_mp_d, an, b)); ++ return mpn_normalized_size (rp, an); ++ } ++} ++ ++void ++mpz_add_ui (mpz_t r, const mpz_t a, unsigned long b) ++{ ++ if (a->_mp_size >= 0) ++ r->_mp_size = mpz_abs_add_ui (r, a, b); ++ else ++ r->_mp_size = -mpz_abs_sub_ui (r, a, b); ++} ++ ++void ++mpz_sub_ui (mpz_t r, const mpz_t a, unsigned long b) ++{ ++ if (a->_mp_size < 0) ++ r->_mp_size = -mpz_abs_add_ui (r, a, b); ++ else ++ r->_mp_size = mpz_abs_sub_ui (r, a, b); ++} ++ ++void ++mpz_ui_sub (mpz_t r, unsigned long a, const mpz_t b) ++{ ++ if (b->_mp_size < 0) ++ r->_mp_size = mpz_abs_add_ui (r, b, a); ++ else ++ r->_mp_size = -mpz_abs_sub_ui (r, b, a); ++} ++ ++static mp_size_t ++mpz_abs_add (mpz_t r, const mpz_t a, const mpz_t b) ++{ ++ mp_size_t an = GMP_ABS (a->_mp_size); ++ mp_size_t bn = GMP_ABS (b->_mp_size); ++ mp_ptr rp; ++ mp_limb_t cy; ++ ++ if (an < bn) ++ { ++ MPZ_SRCPTR_SWAP (a, b); ++ MP_SIZE_T_SWAP (an, bn); ++ } ++ ++ rp = MPZ_REALLOC (r, an + 1); ++ cy = mpn_add (rp, a->_mp_d, an, b->_mp_d, bn); ++ ++ rp[an] = cy; ++ ++ return an + cy; ++} ++ ++static mp_size_t ++mpz_abs_sub (mpz_t r, const mpz_t a, const mpz_t b) ++{ ++ mp_size_t an = GMP_ABS (a->_mp_size); ++ mp_size_t bn = GMP_ABS (b->_mp_size); ++ int cmp; ++ mp_ptr rp; ++ ++ cmp = mpn_cmp4 (a->_mp_d, an, b->_mp_d, bn); ++ if (cmp > 0) ++ { ++ rp = MPZ_REALLOC (r, an); ++ gmp_assert_nocarry (mpn_sub (rp, a->_mp_d, an, b->_mp_d, bn)); ++ return mpn_normalized_size (rp, an); ++ } ++ else if (cmp < 0) ++ { ++ rp = MPZ_REALLOC (r, bn); ++ gmp_assert_nocarry (mpn_sub (rp, b->_mp_d, bn, a->_mp_d, an)); ++ return -mpn_normalized_size (rp, bn); ++ } ++ else ++ return 0; ++} ++ ++void ++mpz_add (mpz_t r, const mpz_t a, const mpz_t b) ++{ ++ mp_size_t rn; ++ ++ if ( (a->_mp_size ^ b->_mp_size) >= 0) ++ rn = mpz_abs_add (r, a, b); ++ else ++ rn = mpz_abs_sub (r, a, b); ++ ++ r->_mp_size = a->_mp_size >= 0 ? rn : - rn; ++} ++ ++void ++mpz_sub (mpz_t r, const mpz_t a, const mpz_t b) ++{ ++ mp_size_t rn; ++ ++ if ( (a->_mp_size ^ b->_mp_size) >= 0) ++ rn = mpz_abs_sub (r, a, b); ++ else ++ rn = mpz_abs_add (r, a, b); ++ ++ r->_mp_size = a->_mp_size >= 0 ? rn : - rn; ++} ++ ++ ++/* MPZ multiplication */ ++void ++mpz_mul_si (mpz_t r, const mpz_t u, long int v) ++{ ++ if (v < 0) ++ { ++ mpz_mul_ui (r, u, GMP_NEG_CAST (unsigned long int, v)); ++ mpz_neg (r, r); ++ } ++ else ++ mpz_mul_ui (r, u, (unsigned long int) v); ++} ++ ++void ++mpz_mul_ui (mpz_t r, const mpz_t u, unsigned long int v) ++{ ++ mp_size_t un, us; ++ mp_ptr tp; ++ mp_limb_t cy; ++ ++ us = u->_mp_size; ++ ++ if (us == 0 || v == 0) ++ { ++ r->_mp_size = 0; ++ return; ++ } ++ ++ un = GMP_ABS (us); ++ ++ tp = MPZ_REALLOC (r, un + 1); ++ cy = mpn_mul_1 (tp, u->_mp_d, un, v); ++ tp[un] = cy; ++ ++ un += (cy > 0); ++ r->_mp_size = (us < 0) ? - un : un; ++} ++ ++void ++mpz_mul (mpz_t r, const mpz_t u, const mpz_t v) ++{ ++ int sign; ++ mp_size_t un, vn, rn; ++ mpz_t t; ++ mp_ptr tp; ++ ++ un = u->_mp_size; ++ vn = v->_mp_size; ++ ++ if (un == 0 || vn == 0) ++ { ++ r->_mp_size = 0; ++ return; ++ } ++ ++ sign = (un ^ vn) < 0; ++ ++ un = GMP_ABS (un); ++ vn = GMP_ABS (vn); ++ ++ mpz_init2 (t, (un + vn) * GMP_LIMB_BITS); ++ ++ tp = t->_mp_d; ++ if (un >= vn) ++ mpn_mul (tp, u->_mp_d, un, v->_mp_d, vn); ++ else ++ mpn_mul (tp, v->_mp_d, vn, u->_mp_d, un); ++ ++ rn = un + vn; ++ rn -= tp[rn-1] == 0; ++ ++ t->_mp_size = sign ? - rn : rn; ++ mpz_swap (r, t); ++ mpz_clear (t); ++} ++ ++void ++mpz_mul_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t bits) ++{ ++ mp_size_t un, rn; ++ mp_size_t limbs; ++ unsigned shift; ++ mp_ptr rp; ++ ++ un = GMP_ABS (u->_mp_size); ++ if (un == 0) ++ { ++ r->_mp_size = 0; ++ return; ++ } ++ ++ limbs = bits / GMP_LIMB_BITS; ++ shift = bits % GMP_LIMB_BITS; ++ ++ rn = un + limbs + (shift > 0); ++ rp = MPZ_REALLOC (r, rn); ++ if (shift > 0) ++ { ++ mp_limb_t cy = mpn_lshift (rp + limbs, u->_mp_d, un, shift); ++ rp[rn-1] = cy; ++ rn -= (cy == 0); ++ } ++ else ++ mpn_copyd (rp + limbs, u->_mp_d, un); ++ ++ while (limbs > 0) ++ rp[--limbs] = 0; ++ ++ r->_mp_size = (u->_mp_size < 0) ? - rn : rn; ++} ++ ++void ++mpz_addmul_ui (mpz_t r, const mpz_t u, unsigned long int v) ++{ ++ mpz_t t; ++ mpz_init (t); ++ mpz_mul_ui (t, u, v); ++ mpz_add (r, r, t); ++ mpz_clear (t); ++} ++ ++void ++mpz_submul_ui (mpz_t r, const mpz_t u, unsigned long int v) ++{ ++ mpz_t t; ++ mpz_init (t); ++ mpz_mul_ui (t, u, v); ++ mpz_sub (r, r, t); ++ mpz_clear (t); ++} ++ ++void ++mpz_addmul (mpz_t r, const mpz_t u, const mpz_t v) ++{ ++ mpz_t t; ++ mpz_init (t); ++ mpz_mul (t, u, v); ++ mpz_add (r, r, t); ++ mpz_clear (t); ++} ++ ++void ++mpz_submul (mpz_t r, const mpz_t u, const mpz_t v) ++{ ++ mpz_t t; ++ mpz_init (t); ++ mpz_mul (t, u, v); ++ mpz_sub (r, r, t); ++ mpz_clear (t); ++} ++ ++ ++/* MPZ division */ ++enum mpz_div_round_mode { GMP_DIV_FLOOR, GMP_DIV_CEIL, GMP_DIV_TRUNC }; ++ ++/* Allows q or r to be zero. Returns 1 iff remainder is non-zero. */ ++static int ++mpz_div_qr (mpz_t q, mpz_t r, ++ const mpz_t n, const mpz_t d, enum mpz_div_round_mode mode) ++{ ++ mp_size_t ns, ds, nn, dn, qs; ++ ns = n->_mp_size; ++ ds = d->_mp_size; ++ ++ if (ds == 0) ++ gmp_die("mpz_div_qr: Divide by zero."); ++ ++ if (ns == 0) ++ { ++ if (q) ++ q->_mp_size = 0; ++ if (r) ++ r->_mp_size = 0; ++ return 0; ++ } ++ ++ nn = GMP_ABS (ns); ++ dn = GMP_ABS (ds); ++ ++ qs = ds ^ ns; ++ ++ if (nn < dn) ++ { ++ if (mode == GMP_DIV_CEIL && qs >= 0) ++ { ++ /* q = 1, r = n - d */ ++ if (r) ++ mpz_sub (r, n, d); ++ if (q) ++ mpz_set_ui (q, 1); ++ } ++ else if (mode == GMP_DIV_FLOOR && qs < 0) ++ { ++ /* q = -1, r = n + d */ ++ if (r) ++ mpz_add (r, n, d); ++ if (q) ++ mpz_set_si (q, -1); ++ } ++ else ++ { ++ /* q = 0, r = d */ ++ if (r) ++ mpz_set (r, n); ++ if (q) ++ q->_mp_size = 0; ++ } ++ return 1; ++ } ++ else ++ { ++ mp_ptr np, qp; ++ mp_size_t qn, rn; ++ mpz_t tq, tr; ++ ++ mpz_init_set (tr, n); ++ np = tr->_mp_d; ++ ++ qn = nn - dn + 1; ++ ++ if (q) ++ { ++ mpz_init2 (tq, qn * GMP_LIMB_BITS); ++ qp = tq->_mp_d; ++ } ++ else ++ qp = NULL; ++ ++ mpn_div_qr (qp, np, nn, d->_mp_d, dn); ++ ++ if (qp) ++ { ++ qn -= (qp[qn-1] == 0); ++ ++ tq->_mp_size = qs < 0 ? -qn : qn; ++ } ++ rn = mpn_normalized_size (np, dn); ++ tr->_mp_size = ns < 0 ? - rn : rn; ++ ++ if (mode == GMP_DIV_FLOOR && qs < 0 && rn != 0) ++ { ++ if (q) ++ mpz_sub_ui (tq, tq, 1); ++ if (r) ++ mpz_add (tr, tr, d); ++ } ++ else if (mode == GMP_DIV_CEIL && qs >= 0 && rn != 0) ++ { ++ if (q) ++ mpz_add_ui (tq, tq, 1); ++ if (r) ++ mpz_sub (tr, tr, d); ++ } ++ ++ if (q) ++ { ++ mpz_swap (tq, q); ++ mpz_clear (tq); ++ } ++ if (r) ++ mpz_swap (tr, r); ++ ++ mpz_clear (tr); ++ ++ return rn != 0; ++ } ++} ++ ++void ++mpz_cdiv_qr (mpz_t q, mpz_t r, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (q, r, n, d, GMP_DIV_CEIL); ++} ++ ++void ++mpz_fdiv_qr (mpz_t q, mpz_t r, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (q, r, n, d, GMP_DIV_FLOOR); ++} ++ ++void ++mpz_tdiv_qr (mpz_t q, mpz_t r, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (q, r, n, d, GMP_DIV_TRUNC); ++} ++ ++void ++mpz_cdiv_q (mpz_t q, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (q, NULL, n, d, GMP_DIV_CEIL); ++} ++ ++void ++mpz_fdiv_q (mpz_t q, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (q, NULL, n, d, GMP_DIV_FLOOR); ++} ++ ++void ++mpz_tdiv_q (mpz_t q, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (q, NULL, n, d, GMP_DIV_TRUNC); ++} ++ ++void ++mpz_cdiv_r (mpz_t r, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (NULL, r, n, d, GMP_DIV_CEIL); ++} ++ ++void ++mpz_fdiv_r (mpz_t r, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (NULL, r, n, d, GMP_DIV_FLOOR); ++} ++ ++void ++mpz_tdiv_r (mpz_t r, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (NULL, r, n, d, GMP_DIV_TRUNC); ++} ++ ++void ++mpz_mod (mpz_t r, const mpz_t n, const mpz_t d) ++{ ++ mpz_div_qr (NULL, r, n, d, d->_mp_size >= 0 ? GMP_DIV_FLOOR : GMP_DIV_CEIL); ++} ++ ++static void ++mpz_div_q_2exp (mpz_t q, const mpz_t u, mp_bitcnt_t bit_index, ++ enum mpz_div_round_mode mode) ++{ ++ mp_size_t un, qn; ++ mp_size_t limb_cnt; ++ mp_ptr qp; ++ int adjust; ++ ++ un = u->_mp_size; ++ if (un == 0) ++ { ++ q->_mp_size = 0; ++ return; ++ } ++ limb_cnt = bit_index / GMP_LIMB_BITS; ++ qn = GMP_ABS (un) - limb_cnt; ++ bit_index %= GMP_LIMB_BITS; ++ ++ if (mode == ((un > 0) ? GMP_DIV_CEIL : GMP_DIV_FLOOR)) /* un != 0 here. */ ++ /* Note: Below, the final indexing at limb_cnt is valid because at ++ that point we have qn > 0. */ ++ adjust = (qn <= 0 ++ || !mpn_zero_p (u->_mp_d, limb_cnt) ++ || (u->_mp_d[limb_cnt] ++ & (((mp_limb_t) 1 << bit_index) - 1))); ++ else ++ adjust = 0; ++ ++ if (qn <= 0) ++ qn = 0; ++ ++ else ++ { ++ qp = MPZ_REALLOC (q, qn); ++ ++ if (bit_index != 0) ++ { ++ mpn_rshift (qp, u->_mp_d + limb_cnt, qn, bit_index); ++ qn -= qp[qn - 1] == 0; ++ } ++ else ++ { ++ mpn_copyi (qp, u->_mp_d + limb_cnt, qn); ++ } ++ } ++ ++ q->_mp_size = qn; ++ ++ if (adjust) ++ mpz_add_ui (q, q, 1); ++ if (un < 0) ++ mpz_neg (q, q); ++} ++ ++static void ++mpz_div_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t bit_index, ++ enum mpz_div_round_mode mode) ++{ ++ mp_size_t us, un, rn; ++ mp_ptr rp; ++ mp_limb_t mask; ++ ++ us = u->_mp_size; ++ if (us == 0 || bit_index == 0) ++ { ++ r->_mp_size = 0; ++ return; ++ } ++ rn = (bit_index + GMP_LIMB_BITS - 1) / GMP_LIMB_BITS; ++ assert (rn > 0); ++ ++ rp = MPZ_REALLOC (r, rn); ++ un = GMP_ABS (us); ++ ++ mask = GMP_LIMB_MAX >> (rn * GMP_LIMB_BITS - bit_index); ++ ++ if (rn > un) ++ { ++ /* Quotient (with truncation) is zero, and remainder is ++ non-zero */ ++ if (mode == ((us > 0) ? GMP_DIV_CEIL : GMP_DIV_FLOOR)) /* us != 0 here. */ ++ { ++ /* Have to negate and sign extend. */ ++ mp_size_t i; ++ mp_limb_t cy; ++ ++ for (cy = 1, i = 0; i < un; i++) ++ { ++ mp_limb_t s = ~u->_mp_d[i] + cy; ++ cy = s < cy; ++ rp[i] = s; ++ } ++ assert (cy == 0); ++ for (; i < rn - 1; i++) ++ rp[i] = GMP_LIMB_MAX; ++ ++ rp[rn-1] = mask; ++ us = -us; ++ } ++ else ++ { ++ /* Just copy */ ++ if (r != u) ++ mpn_copyi (rp, u->_mp_d, un); ++ ++ rn = un; ++ } ++ } ++ else ++ { ++ if (r != u) ++ mpn_copyi (rp, u->_mp_d, rn - 1); ++ ++ rp[rn-1] = u->_mp_d[rn-1] & mask; ++ ++ if (mode == ((us > 0) ? GMP_DIV_CEIL : GMP_DIV_FLOOR)) /* us != 0 here. */ ++ { ++ /* If r != 0, compute 2^{bit_count} - r. */ ++ mp_size_t i; ++ ++ for (i = 0; i < rn && rp[i] == 0; i++) ++ ; ++ if (i < rn) ++ { ++ /* r > 0, need to flip sign. */ ++ rp[i] = ~rp[i] + 1; ++ while (++i < rn) ++ rp[i] = ~rp[i]; ++ ++ rp[rn-1] &= mask; ++ ++ /* us is not used for anything else, so we can modify it ++ here to indicate flipped sign. */ ++ us = -us; ++ } ++ } ++ } ++ rn = mpn_normalized_size (rp, rn); ++ r->_mp_size = us < 0 ? -rn : rn; ++} ++ ++void ++mpz_cdiv_q_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) ++{ ++ mpz_div_q_2exp (r, u, cnt, GMP_DIV_CEIL); ++} ++ ++void ++mpz_fdiv_q_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) ++{ ++ mpz_div_q_2exp (r, u, cnt, GMP_DIV_FLOOR); ++} ++ ++void ++mpz_tdiv_q_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) ++{ ++ mpz_div_q_2exp (r, u, cnt, GMP_DIV_TRUNC); ++} ++ ++void ++mpz_cdiv_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) ++{ ++ mpz_div_r_2exp (r, u, cnt, GMP_DIV_CEIL); ++} ++ ++void ++mpz_fdiv_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) ++{ ++ mpz_div_r_2exp (r, u, cnt, GMP_DIV_FLOOR); ++} ++ ++void ++mpz_tdiv_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t cnt) ++{ ++ mpz_div_r_2exp (r, u, cnt, GMP_DIV_TRUNC); ++} ++ ++void ++mpz_divexact (mpz_t q, const mpz_t n, const mpz_t d) ++{ ++ gmp_assert_nocarry (mpz_div_qr (q, NULL, n, d, GMP_DIV_TRUNC)); ++} ++ ++int ++mpz_divisible_p (const mpz_t n, const mpz_t d) ++{ ++ return mpz_div_qr (NULL, NULL, n, d, GMP_DIV_TRUNC) == 0; ++} ++ ++int ++mpz_congruent_p (const mpz_t a, const mpz_t b, const mpz_t m) ++{ ++ mpz_t t; ++ int res; ++ ++ /* a == b (mod 0) iff a == b */ ++ if (mpz_sgn (m) == 0) ++ return (mpz_cmp (a, b) == 0); ++ ++ mpz_init (t); ++ mpz_sub (t, a, b); ++ res = mpz_divisible_p (t, m); ++ mpz_clear (t); ++ ++ return res; ++} ++ ++static unsigned long ++mpz_div_qr_ui (mpz_t q, mpz_t r, ++ const mpz_t n, unsigned long d, enum mpz_div_round_mode mode) ++{ ++ mp_size_t ns, qn; ++ mp_ptr qp; ++ mp_limb_t rl; ++ mp_size_t rs; ++ ++ ns = n->_mp_size; ++ if (ns == 0) ++ { ++ if (q) ++ q->_mp_size = 0; ++ if (r) ++ r->_mp_size = 0; ++ return 0; ++ } ++ ++ qn = GMP_ABS (ns); ++ if (q) ++ qp = MPZ_REALLOC (q, qn); ++ else ++ qp = NULL; ++ ++ rl = mpn_div_qr_1 (qp, n->_mp_d, qn, d); ++ assert (rl < d); ++ ++ rs = rl > 0; ++ rs = (ns < 0) ? -rs : rs; ++ ++ if (rl > 0 && ( (mode == GMP_DIV_FLOOR && ns < 0) ++ || (mode == GMP_DIV_CEIL && ns >= 0))) ++ { ++ if (q) ++ gmp_assert_nocarry (mpn_add_1 (qp, qp, qn, 1)); ++ rl = d - rl; ++ rs = -rs; ++ } ++ ++ if (r) ++ { ++ r->_mp_d[0] = rl; ++ r->_mp_size = rs; ++ } ++ if (q) ++ { ++ qn -= (qp[qn-1] == 0); ++ assert (qn == 0 || qp[qn-1] > 0); ++ ++ q->_mp_size = (ns < 0) ? - qn : qn; ++ } ++ ++ return rl; ++} ++ ++unsigned long ++mpz_cdiv_qr_ui (mpz_t q, mpz_t r, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (q, r, n, d, GMP_DIV_CEIL); ++} ++ ++unsigned long ++mpz_fdiv_qr_ui (mpz_t q, mpz_t r, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (q, r, n, d, GMP_DIV_FLOOR); ++} ++ ++unsigned long ++mpz_tdiv_qr_ui (mpz_t q, mpz_t r, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (q, r, n, d, GMP_DIV_TRUNC); ++} ++ ++unsigned long ++mpz_cdiv_q_ui (mpz_t q, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (q, NULL, n, d, GMP_DIV_CEIL); ++} ++ ++unsigned long ++mpz_fdiv_q_ui (mpz_t q, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (q, NULL, n, d, GMP_DIV_FLOOR); ++} ++ ++unsigned long ++mpz_tdiv_q_ui (mpz_t q, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (q, NULL, n, d, GMP_DIV_TRUNC); ++} ++ ++unsigned long ++mpz_cdiv_r_ui (mpz_t r, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (NULL, r, n, d, GMP_DIV_CEIL); ++} ++unsigned long ++mpz_fdiv_r_ui (mpz_t r, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (NULL, r, n, d, GMP_DIV_FLOOR); ++} ++unsigned long ++mpz_tdiv_r_ui (mpz_t r, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (NULL, r, n, d, GMP_DIV_TRUNC); ++} ++ ++unsigned long ++mpz_cdiv_ui (const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (NULL, NULL, n, d, GMP_DIV_CEIL); ++} ++ ++unsigned long ++mpz_fdiv_ui (const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (NULL, NULL, n, d, GMP_DIV_FLOOR); ++} ++ ++unsigned long ++mpz_tdiv_ui (const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (NULL, NULL, n, d, GMP_DIV_TRUNC); ++} ++ ++unsigned long ++mpz_mod_ui (mpz_t r, const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (NULL, r, n, d, GMP_DIV_FLOOR); ++} ++ ++void ++mpz_divexact_ui (mpz_t q, const mpz_t n, unsigned long d) ++{ ++ gmp_assert_nocarry (mpz_div_qr_ui (q, NULL, n, d, GMP_DIV_TRUNC)); ++} ++ ++int ++mpz_divisible_ui_p (const mpz_t n, unsigned long d) ++{ ++ return mpz_div_qr_ui (NULL, NULL, n, d, GMP_DIV_TRUNC) == 0; ++} ++ ++ ++/* GCD */ ++static mp_limb_t ++mpn_gcd_11 (mp_limb_t u, mp_limb_t v) ++{ ++ unsigned shift; ++ ++ assert ( (u | v) > 0); ++ ++ if (u == 0) ++ return v; ++ else if (v == 0) ++ return u; ++ ++ gmp_ctz (shift, u | v); ++ ++ u >>= shift; ++ v >>= shift; ++ ++ if ( (u & 1) == 0) ++ MP_LIMB_T_SWAP (u, v); ++ ++ while ( (v & 1) == 0) ++ v >>= 1; ++ ++ while (u != v) ++ { ++ if (u > v) ++ { ++ u -= v; ++ do ++ u >>= 1; ++ while ( (u & 1) == 0); ++ } ++ else ++ { ++ v -= u; ++ do ++ v >>= 1; ++ while ( (v & 1) == 0); ++ } ++ } ++ return u << shift; ++} ++ ++unsigned long ++mpz_gcd_ui (mpz_t g, const mpz_t u, unsigned long v) ++{ ++ mp_size_t un; ++ ++ if (v == 0) ++ { ++ if (g) ++ mpz_abs (g, u); ++ } ++ else ++ { ++ un = GMP_ABS (u->_mp_size); ++ if (un != 0) ++ v = mpn_gcd_11 (mpn_div_qr_1 (NULL, u->_mp_d, un, v), v); ++ ++ if (g) ++ mpz_set_ui (g, v); ++ } ++ ++ return v; ++} ++ ++static mp_bitcnt_t ++mpz_make_odd (mpz_t r) ++{ ++ mp_bitcnt_t shift; ++ ++ assert (r->_mp_size > 0); ++ /* Count trailing zeros, equivalent to mpn_scan1, because we know that there is a 1 */ ++ shift = mpn_common_scan (r->_mp_d[0], 0, r->_mp_d, 0, 0); ++ mpz_tdiv_q_2exp (r, r, shift); ++ ++ return shift; ++} ++ ++void ++mpz_gcd (mpz_t g, const mpz_t u, const mpz_t v) ++{ ++ mpz_t tu, tv; ++ mp_bitcnt_t uz, vz, gz; ++ ++ if (u->_mp_size == 0) ++ { ++ mpz_abs (g, v); ++ return; ++ } ++ if (v->_mp_size == 0) ++ { ++ mpz_abs (g, u); ++ return; ++ } ++ ++ mpz_init (tu); ++ mpz_init (tv); ++ ++ mpz_abs (tu, u); ++ uz = mpz_make_odd (tu); ++ mpz_abs (tv, v); ++ vz = mpz_make_odd (tv); ++ gz = GMP_MIN (uz, vz); ++ ++ if (tu->_mp_size < tv->_mp_size) ++ mpz_swap (tu, tv); ++ ++ mpz_tdiv_r (tu, tu, tv); ++ if (tu->_mp_size == 0) ++ { ++ mpz_swap (g, tv); ++ } ++ else ++ for (;;) ++ { ++ int c; ++ ++ mpz_make_odd (tu); ++ c = mpz_cmp (tu, tv); ++ if (c == 0) ++ { ++ mpz_swap (g, tu); ++ break; ++ } ++ if (c < 0) ++ mpz_swap (tu, tv); ++ ++ if (tv->_mp_size == 1) ++ { ++ mp_limb_t vl = tv->_mp_d[0]; ++ mp_limb_t ul = mpz_tdiv_ui (tu, vl); ++ mpz_set_ui (g, mpn_gcd_11 (ul, vl)); ++ break; ++ } ++ mpz_sub (tu, tu, tv); ++ } ++ mpz_clear (tu); ++ mpz_clear (tv); ++ mpz_mul_2exp (g, g, gz); ++} ++ ++void ++mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v) ++{ ++ mpz_t tu, tv, s0, s1, t0, t1; ++ mp_bitcnt_t uz, vz, gz; ++ mp_bitcnt_t power; ++ ++ if (u->_mp_size == 0) ++ { ++ /* g = 0 u + sgn(v) v */ ++ signed long sign = mpz_sgn (v); ++ mpz_abs (g, v); ++ if (s) ++ mpz_set_ui (s, 0); ++ if (t) ++ mpz_set_si (t, sign); ++ return; ++ } ++ ++ if (v->_mp_size == 0) ++ { ++ /* g = sgn(u) u + 0 v */ ++ signed long sign = mpz_sgn (u); ++ mpz_abs (g, u); ++ if (s) ++ mpz_set_si (s, sign); ++ if (t) ++ mpz_set_ui (t, 0); ++ return; ++ } ++ ++ mpz_init (tu); ++ mpz_init (tv); ++ mpz_init (s0); ++ mpz_init (s1); ++ mpz_init (t0); ++ mpz_init (t1); ++ ++ mpz_abs (tu, u); ++ uz = mpz_make_odd (tu); ++ mpz_abs (tv, v); ++ vz = mpz_make_odd (tv); ++ gz = GMP_MIN (uz, vz); ++ ++ uz -= gz; ++ vz -= gz; ++ ++ /* Cofactors corresponding to odd gcd. gz handled later. */ ++ if (tu->_mp_size < tv->_mp_size) ++ { ++ mpz_swap (tu, tv); ++ MPZ_SRCPTR_SWAP (u, v); ++ MPZ_PTR_SWAP (s, t); ++ MP_BITCNT_T_SWAP (uz, vz); ++ } ++ ++ /* Maintain ++ * ++ * u = t0 tu + t1 tv ++ * v = s0 tu + s1 tv ++ * ++ * where u and v denote the inputs with common factors of two ++ * eliminated, and det (s0, t0; s1, t1) = 2^p. Then ++ * ++ * 2^p tu = s1 u - t1 v ++ * 2^p tv = -s0 u + t0 v ++ */ ++ ++ /* After initial division, tu = q tv + tu', we have ++ * ++ * u = 2^uz (tu' + q tv) ++ * v = 2^vz tv ++ * ++ * or ++ * ++ * t0 = 2^uz, t1 = 2^uz q ++ * s0 = 0, s1 = 2^vz ++ */ ++ ++ mpz_setbit (t0, uz); ++ mpz_tdiv_qr (t1, tu, tu, tv); ++ mpz_mul_2exp (t1, t1, uz); ++ ++ mpz_setbit (s1, vz); ++ power = uz + vz; ++ ++ if (tu->_mp_size > 0) ++ { ++ mp_bitcnt_t shift; ++ shift = mpz_make_odd (tu); ++ mpz_mul_2exp (t0, t0, shift); ++ mpz_mul_2exp (s0, s0, shift); ++ power += shift; ++ ++ for (;;) ++ { ++ int c; ++ c = mpz_cmp (tu, tv); ++ if (c == 0) ++ break; ++ ++ if (c < 0) ++ { ++ /* tv = tv' + tu ++ * ++ * u = t0 tu + t1 (tv' + tu) = (t0 + t1) tu + t1 tv' ++ * v = s0 tu + s1 (tv' + tu) = (s0 + s1) tu + s1 tv' */ ++ ++ mpz_sub (tv, tv, tu); ++ mpz_add (t0, t0, t1); ++ mpz_add (s0, s0, s1); ++ ++ shift = mpz_make_odd (tv); ++ mpz_mul_2exp (t1, t1, shift); ++ mpz_mul_2exp (s1, s1, shift); ++ } ++ else ++ { ++ mpz_sub (tu, tu, tv); ++ mpz_add (t1, t0, t1); ++ mpz_add (s1, s0, s1); ++ ++ shift = mpz_make_odd (tu); ++ mpz_mul_2exp (t0, t0, shift); ++ mpz_mul_2exp (s0, s0, shift); ++ } ++ power += shift; ++ } ++ } ++ ++ /* Now tv = odd part of gcd, and -s0 and t0 are corresponding ++ cofactors. */ ++ ++ mpz_mul_2exp (tv, tv, gz); ++ mpz_neg (s0, s0); ++ ++ /* 2^p g = s0 u + t0 v. Eliminate one factor of two at a time. To ++ adjust cofactors, we need u / g and v / g */ ++ ++ mpz_divexact (s1, v, tv); ++ mpz_abs (s1, s1); ++ mpz_divexact (t1, u, tv); ++ mpz_abs (t1, t1); ++ ++ while (power-- > 0) ++ { ++ /* s0 u + t0 v = (s0 - v/g) u - (t0 + u/g) v */ ++ if (mpz_odd_p (s0) || mpz_odd_p (t0)) ++ { ++ mpz_sub (s0, s0, s1); ++ mpz_add (t0, t0, t1); ++ } ++ mpz_divexact_ui (s0, s0, 2); ++ mpz_divexact_ui (t0, t0, 2); ++ } ++ ++ /* Arrange so that |s| < |u| / 2g */ ++ mpz_add (s1, s0, s1); ++ if (mpz_cmpabs (s0, s1) > 0) ++ { ++ mpz_swap (s0, s1); ++ mpz_sub (t0, t0, t1); ++ } ++ if (u->_mp_size < 0) ++ mpz_neg (s0, s0); ++ if (v->_mp_size < 0) ++ mpz_neg (t0, t0); ++ ++ mpz_swap (g, tv); ++ if (s) ++ mpz_swap (s, s0); ++ if (t) ++ mpz_swap (t, t0); ++ ++ mpz_clear (tu); ++ mpz_clear (tv); ++ mpz_clear (s0); ++ mpz_clear (s1); ++ mpz_clear (t0); ++ mpz_clear (t1); ++} ++ ++void ++mpz_lcm (mpz_t r, const mpz_t u, const mpz_t v) ++{ ++ mpz_t g; ++ ++ if (u->_mp_size == 0 || v->_mp_size == 0) ++ { ++ r->_mp_size = 0; ++ return; ++ } ++ ++ mpz_init (g); ++ ++ mpz_gcd (g, u, v); ++ mpz_divexact (g, u, g); ++ mpz_mul (r, g, v); ++ ++ mpz_clear (g); ++ mpz_abs (r, r); ++} ++ ++void ++mpz_lcm_ui (mpz_t r, const mpz_t u, unsigned long v) ++{ ++ if (v == 0 || u->_mp_size == 0) ++ { ++ r->_mp_size = 0; ++ return; ++ } ++ ++ v /= mpz_gcd_ui (NULL, u, v); ++ mpz_mul_ui (r, u, v); ++ ++ mpz_abs (r, r); ++} ++ ++int ++mpz_invert (mpz_t r, const mpz_t u, const mpz_t m) ++{ ++ mpz_t g, tr; ++ int invertible; ++ ++ if (u->_mp_size == 0 || mpz_cmpabs_ui (m, 1) <= 0) ++ return 0; ++ ++ mpz_init (g); ++ mpz_init (tr); ++ ++ mpz_gcdext (g, tr, NULL, u, m); ++ invertible = (mpz_cmp_ui (g, 1) == 0); ++ ++ if (invertible) ++ { ++ if (tr->_mp_size < 0) ++ { ++ if (m->_mp_size >= 0) ++ mpz_add (tr, tr, m); ++ else ++ mpz_sub (tr, tr, m); ++ } ++ mpz_swap (r, tr); ++ } ++ ++ mpz_clear (g); ++ mpz_clear (tr); ++ return invertible; ++} ++ ++ ++/* Higher level operations (sqrt, pow and root) */ ++ ++void ++mpz_pow_ui (mpz_t r, const mpz_t b, unsigned long e) ++{ ++ unsigned long bit; ++ mpz_t tr; ++ mpz_init_set_ui (tr, 1); ++ ++ bit = GMP_ULONG_HIGHBIT; ++ do ++ { ++ mpz_mul (tr, tr, tr); ++ if (e & bit) ++ mpz_mul (tr, tr, b); ++ bit >>= 1; ++ } ++ while (bit > 0); ++ ++ mpz_swap (r, tr); ++ mpz_clear (tr); ++} ++ ++void ++mpz_ui_pow_ui (mpz_t r, unsigned long blimb, unsigned long e) ++{ ++ mpz_t b; ++ mpz_init_set_ui (b, blimb); ++ mpz_pow_ui (r, b, e); ++ mpz_clear (b); ++} ++ ++void ++mpz_powm (mpz_t r, const mpz_t b, const mpz_t e, const mpz_t m) ++{ ++ mpz_t tr; ++ mpz_t base; ++ mp_size_t en, mn; ++ mp_srcptr mp; ++ struct gmp_div_inverse minv; ++ unsigned shift; ++ mp_ptr tp = NULL; ++ ++ en = GMP_ABS (e->_mp_size); ++ mn = GMP_ABS (m->_mp_size); ++ if (mn == 0) ++ gmp_die ("mpz_powm: Zero modulo."); ++ ++ if (en == 0) ++ { ++ mpz_set_ui (r, 1); ++ return; ++ } ++ ++ mp = m->_mp_d; ++ mpn_div_qr_invert (&minv, mp, mn); ++ shift = minv.shift; ++ ++ if (shift > 0) ++ { ++ /* To avoid shifts, we do all our reductions, except the final ++ one, using a *normalized* m. */ ++ minv.shift = 0; ++ ++ tp = gmp_xalloc_limbs (mn); ++ gmp_assert_nocarry (mpn_lshift (tp, mp, mn, shift)); ++ mp = tp; ++ } ++ ++ mpz_init (base); ++ ++ if (e->_mp_size < 0) ++ { ++ if (!mpz_invert (base, b, m)) ++ gmp_die ("mpz_powm: Negative exponent and non-invertible base."); ++ } ++ else ++ { ++ mp_size_t bn; ++ mpz_abs (base, b); ++ ++ bn = base->_mp_size; ++ if (bn >= mn) ++ { ++ mpn_div_qr_preinv (NULL, base->_mp_d, base->_mp_size, mp, mn, &minv); ++ bn = mn; ++ } ++ ++ /* We have reduced the absolute value. Now take care of the ++ sign. Note that we get zero represented non-canonically as ++ m. */ ++ if (b->_mp_size < 0) ++ { ++ mp_ptr bp = MPZ_REALLOC (base, mn); ++ gmp_assert_nocarry (mpn_sub (bp, mp, mn, bp, bn)); ++ bn = mn; ++ } ++ base->_mp_size = mpn_normalized_size (base->_mp_d, bn); ++ } ++ mpz_init_set_ui (tr, 1); ++ ++ while (en-- > 0) ++ { ++ mp_limb_t w = e->_mp_d[en]; ++ mp_limb_t bit; ++ ++ bit = GMP_LIMB_HIGHBIT; ++ do ++ { ++ mpz_mul (tr, tr, tr); ++ if (w & bit) ++ mpz_mul (tr, tr, base); ++ if (tr->_mp_size > mn) ++ { ++ mpn_div_qr_preinv (NULL, tr->_mp_d, tr->_mp_size, mp, mn, &minv); ++ tr->_mp_size = mpn_normalized_size (tr->_mp_d, mn); ++ } ++ bit >>= 1; ++ } ++ while (bit > 0); ++ } ++ ++ /* Final reduction */ ++ if (tr->_mp_size >= mn) ++ { ++ minv.shift = shift; ++ mpn_div_qr_preinv (NULL, tr->_mp_d, tr->_mp_size, mp, mn, &minv); ++ tr->_mp_size = mpn_normalized_size (tr->_mp_d, mn); ++ } ++ if (tp) ++ gmp_free (tp); ++ ++ mpz_swap (r, tr); ++ mpz_clear (tr); ++ mpz_clear (base); ++} ++ ++void ++mpz_powm_ui (mpz_t r, const mpz_t b, unsigned long elimb, const mpz_t m) ++{ ++ mpz_t e; ++ mpz_init_set_ui (e, elimb); ++ mpz_powm (r, b, e, m); ++ mpz_clear (e); ++} ++ ++/* x=trunc(y^(1/z)), r=y-x^z */ ++void ++mpz_rootrem (mpz_t x, mpz_t r, const mpz_t y, unsigned long z) ++{ ++ int sgn; ++ mpz_t t, u; ++ ++ sgn = y->_mp_size < 0; ++ if ((~z & sgn) != 0) ++ gmp_die ("mpz_rootrem: Negative argument, with even root."); ++ if (z == 0) ++ gmp_die ("mpz_rootrem: Zeroth root."); ++ ++ if (mpz_cmpabs_ui (y, 1) <= 0) { ++ if (x) ++ mpz_set (x, y); ++ if (r) ++ r->_mp_size = 0; ++ return; ++ } ++ ++ mpz_init (u); ++ { ++ mp_bitcnt_t tb; ++ tb = mpz_sizeinbase (y, 2) / z + 1; ++ mpz_init2 (t, tb); ++ mpz_setbit (t, tb); ++ } ++ ++ if (z == 2) /* simplify sqrt loop: z-1 == 1 */ ++ do { ++ mpz_swap (u, t); /* u = x */ ++ mpz_tdiv_q (t, y, u); /* t = y/x */ ++ mpz_add (t, t, u); /* t = y/x + x */ ++ mpz_tdiv_q_2exp (t, t, 1); /* x'= (y/x + x)/2 */ ++ } while (mpz_cmpabs (t, u) < 0); /* |x'| < |x| */ ++ else /* z != 2 */ { ++ mpz_t v; ++ ++ mpz_init (v); ++ if (sgn) ++ mpz_neg (t, t); ++ ++ do { ++ mpz_swap (u, t); /* u = x */ ++ mpz_pow_ui (t, u, z - 1); /* t = x^(z-1) */ ++ mpz_tdiv_q (t, y, t); /* t = y/x^(z-1) */ ++ mpz_mul_ui (v, u, z - 1); /* v = x*(z-1) */ ++ mpz_add (t, t, v); /* t = y/x^(z-1) + x*(z-1) */ ++ mpz_tdiv_q_ui (t, t, z); /* x'=(y/x^(z-1) + x*(z-1))/z */ ++ } while (mpz_cmpabs (t, u) < 0); /* |x'| < |x| */ ++ ++ mpz_clear (v); ++ } ++ ++ if (r) { ++ mpz_pow_ui (t, u, z); ++ mpz_sub (r, y, t); ++ } ++ if (x) ++ mpz_swap (x, u); ++ mpz_clear (u); ++ mpz_clear (t); ++} ++ ++int ++mpz_root (mpz_t x, const mpz_t y, unsigned long z) ++{ ++ int res; ++ mpz_t r; ++ ++ mpz_init (r); ++ mpz_rootrem (x, r, y, z); ++ res = r->_mp_size == 0; ++ mpz_clear (r); ++ ++ return res; ++} ++ ++/* Compute s = floor(sqrt(u)) and r = u - s^2. Allows r == NULL */ ++void ++mpz_sqrtrem (mpz_t s, mpz_t r, const mpz_t u) ++{ ++ mpz_rootrem (s, r, u, 2); ++} ++ ++void ++mpz_sqrt (mpz_t s, const mpz_t u) ++{ ++ mpz_rootrem (s, NULL, u, 2); ++} ++ ++int ++mpz_perfect_square_p (const mpz_t u) ++{ ++ if (u->_mp_size <= 0) ++ return (u->_mp_size == 0); ++ else ++ return mpz_root (NULL, u, 2); ++} ++ ++int ++mpn_perfect_square_p (mp_srcptr p, mp_size_t n) ++{ ++ mpz_t t; ++ ++ assert (n > 0); ++ assert (p [n-1] != 0); ++ return mpz_root (NULL, mpz_roinit_n (t, p, n), 2); ++} ++ ++mp_size_t ++mpn_sqrtrem (mp_ptr sp, mp_ptr rp, mp_srcptr p, mp_size_t n) ++{ ++ mpz_t s, r, u; ++ mp_size_t res; ++ ++ assert (n > 0); ++ assert (p [n-1] != 0); ++ ++ mpz_init (r); ++ mpz_init (s); ++ mpz_rootrem (s, r, mpz_roinit_n (u, p, n), 2); ++ ++ assert (s->_mp_size == (n+1)/2); ++ mpn_copyd (sp, s->_mp_d, s->_mp_size); ++ mpz_clear (s); ++ res = r->_mp_size; ++ if (rp) ++ mpn_copyd (rp, r->_mp_d, res); ++ mpz_clear (r); ++ return res; ++} ++ ++/* Combinatorics */ ++ ++void ++mpz_fac_ui (mpz_t x, unsigned long n) ++{ ++ mpz_set_ui (x, n + (n == 0)); ++ for (;n > 2;) ++ mpz_mul_ui (x, x, --n); ++} ++ ++void ++mpz_bin_uiui (mpz_t r, unsigned long n, unsigned long k) ++{ ++ mpz_t t; ++ ++ mpz_set_ui (r, k <= n); ++ ++ if (k > (n >> 1)) ++ k = (k <= n) ? n - k : 0; ++ ++ mpz_init (t); ++ mpz_fac_ui (t, k); ++ ++ for (; k > 0; k--) ++ mpz_mul_ui (r, r, n--); ++ ++ mpz_divexact (r, r, t); ++ mpz_clear (t); ++} ++ ++ ++/* Primality testing */ ++static int ++gmp_millerrabin (const mpz_t n, const mpz_t nm1, mpz_t y, ++ const mpz_t q, mp_bitcnt_t k) ++{ ++ assert (k > 0); ++ ++ /* Caller must initialize y to the base. */ ++ mpz_powm (y, y, q, n); ++ ++ if (mpz_cmp_ui (y, 1) == 0 || mpz_cmp (y, nm1) == 0) ++ return 1; ++ ++ while (--k > 0) ++ { ++ mpz_powm_ui (y, y, 2, n); ++ if (mpz_cmp (y, nm1) == 0) ++ return 1; ++ /* y == 1 means that the previous y was a non-trivial square root ++ of 1 (mod n). y == 0 means that n is a power of the base. ++ In either case, n is not prime. */ ++ if (mpz_cmp_ui (y, 1) <= 0) ++ return 0; ++ } ++ return 0; ++} ++ ++/* This product is 0xc0cfd797, and fits in 32 bits. */ ++#define GMP_PRIME_PRODUCT \ ++ (3UL*5UL*7UL*11UL*13UL*17UL*19UL*23UL*29UL) ++ ++/* Bit (p+1)/2 is set, for each odd prime <= 61 */ ++#define GMP_PRIME_MASK 0xc96996dcUL ++ ++int ++mpz_probab_prime_p (const mpz_t n, int reps) ++{ ++ mpz_t nm1; ++ mpz_t q; ++ mpz_t y; ++ mp_bitcnt_t k; ++ int is_prime; ++ int j; ++ ++ /* Note that we use the absolute value of n only, for compatibility ++ with the real GMP. */ ++ if (mpz_even_p (n)) ++ return (mpz_cmpabs_ui (n, 2) == 0) ? 2 : 0; ++ ++ /* Above test excludes n == 0 */ ++ assert (n->_mp_size != 0); ++ ++ if (mpz_cmpabs_ui (n, 64) < 0) ++ return (GMP_PRIME_MASK >> (n->_mp_d[0] >> 1)) & 2; ++ ++ if (mpz_gcd_ui (NULL, n, GMP_PRIME_PRODUCT) != 1) ++ return 0; ++ ++ /* All prime factors are >= 31. */ ++ if (mpz_cmpabs_ui (n, 31*31) < 0) ++ return 2; ++ ++ /* Use Miller-Rabin, with a deterministic sequence of bases, a[j] = ++ j^2 + j + 41 using Euler's polynomial. We potentially stop early, ++ if a[j] >= n - 1. Since n >= 31*31, this can happen only if reps > ++ 30 (a[30] == 971 > 31*31 == 961). */ ++ ++ mpz_init (nm1); ++ mpz_init (q); ++ mpz_init (y); ++ ++ /* Find q and k, where q is odd and n = 1 + 2**k * q. */ ++ nm1->_mp_size = mpz_abs_sub_ui (nm1, n, 1); ++ k = mpz_scan1 (nm1, 0); ++ mpz_tdiv_q_2exp (q, nm1, k); ++ ++ for (j = 0, is_prime = 1; is_prime & (j < reps); j++) ++ { ++ mpz_set_ui (y, (unsigned long) j*j+j+41); ++ if (mpz_cmp (y, nm1) >= 0) ++ { ++ /* Don't try any further bases. This "early" break does not affect ++ the result for any reasonable reps value (<=5000 was tested) */ ++ assert (j >= 30); ++ break; ++ } ++ is_prime = gmp_millerrabin (n, nm1, y, q, k); ++ } ++ mpz_clear (nm1); ++ mpz_clear (q); ++ mpz_clear (y); ++ ++ return is_prime; ++} ++ ++ ++/* Logical operations and bit manipulation. */ ++ ++/* Numbers are treated as if represented in two's complement (and ++ infinitely sign extended). For a negative values we get the two's ++ complement from -x = ~x + 1, where ~ is bitwise complement. ++ Negation transforms ++ ++ xxxx10...0 ++ ++ into ++ ++ yyyy10...0 ++ ++ where yyyy is the bitwise complement of xxxx. So least significant ++ bits, up to and including the first one bit, are unchanged, and ++ the more significant bits are all complemented. ++ ++ To change a bit from zero to one in a negative number, subtract the ++ corresponding power of two from the absolute value. This can never ++ underflow. To change a bit from one to zero, add the corresponding ++ power of two, and this might overflow. E.g., if x = -001111, the ++ two's complement is 110001. Clearing the least significant bit, we ++ get two's complement 110000, and -010000. */ ++ ++int ++mpz_tstbit (const mpz_t d, mp_bitcnt_t bit_index) ++{ ++ mp_size_t limb_index; ++ unsigned shift; ++ mp_size_t ds; ++ mp_size_t dn; ++ mp_limb_t w; ++ int bit; ++ ++ ds = d->_mp_size; ++ dn = GMP_ABS (ds); ++ limb_index = bit_index / GMP_LIMB_BITS; ++ if (limb_index >= dn) ++ return ds < 0; ++ ++ shift = bit_index % GMP_LIMB_BITS; ++ w = d->_mp_d[limb_index]; ++ bit = (w >> shift) & 1; ++ ++ if (ds < 0) ++ { ++ /* d < 0. Check if any of the bits below is set: If so, our bit ++ must be complemented. */ ++ if (shift > 0 && (w << (GMP_LIMB_BITS - shift)) > 0) ++ return bit ^ 1; ++ while (limb_index-- > 0) ++ if (d->_mp_d[limb_index] > 0) ++ return bit ^ 1; ++ } ++ return bit; ++} ++ ++static void ++mpz_abs_add_bit (mpz_t d, mp_bitcnt_t bit_index) ++{ ++ mp_size_t dn, limb_index; ++ mp_limb_t bit; ++ mp_ptr dp; ++ ++ dn = GMP_ABS (d->_mp_size); ++ ++ limb_index = bit_index / GMP_LIMB_BITS; ++ bit = (mp_limb_t) 1 << (bit_index % GMP_LIMB_BITS); ++ ++ if (limb_index >= dn) ++ { ++ mp_size_t i; ++ /* The bit should be set outside of the end of the number. ++ We have to increase the size of the number. */ ++ dp = MPZ_REALLOC (d, limb_index + 1); ++ ++ dp[limb_index] = bit; ++ for (i = dn; i < limb_index; i++) ++ dp[i] = 0; ++ dn = limb_index + 1; ++ } ++ else ++ { ++ mp_limb_t cy; ++ ++ dp = d->_mp_d; ++ ++ cy = mpn_add_1 (dp + limb_index, dp + limb_index, dn - limb_index, bit); ++ if (cy > 0) ++ { ++ dp = MPZ_REALLOC (d, dn + 1); ++ dp[dn++] = cy; ++ } ++ } ++ ++ d->_mp_size = (d->_mp_size < 0) ? - dn : dn; ++} ++ ++static void ++mpz_abs_sub_bit (mpz_t d, mp_bitcnt_t bit_index) ++{ ++ mp_size_t dn, limb_index; ++ mp_ptr dp; ++ mp_limb_t bit; ++ ++ dn = GMP_ABS (d->_mp_size); ++ dp = d->_mp_d; ++ ++ limb_index = bit_index / GMP_LIMB_BITS; ++ bit = (mp_limb_t) 1 << (bit_index % GMP_LIMB_BITS); ++ ++ assert (limb_index < dn); ++ ++ gmp_assert_nocarry (mpn_sub_1 (dp + limb_index, dp + limb_index, ++ dn - limb_index, bit)); ++ dn = mpn_normalized_size (dp, dn); ++ d->_mp_size = (d->_mp_size < 0) ? - dn : dn; ++} ++ ++void ++mpz_setbit (mpz_t d, mp_bitcnt_t bit_index) ++{ ++ if (!mpz_tstbit (d, bit_index)) ++ { ++ if (d->_mp_size >= 0) ++ mpz_abs_add_bit (d, bit_index); ++ else ++ mpz_abs_sub_bit (d, bit_index); ++ } ++} ++ ++void ++mpz_clrbit (mpz_t d, mp_bitcnt_t bit_index) ++{ ++ if (mpz_tstbit (d, bit_index)) ++ { ++ if (d->_mp_size >= 0) ++ mpz_abs_sub_bit (d, bit_index); ++ else ++ mpz_abs_add_bit (d, bit_index); ++ } ++} ++ ++void ++mpz_combit (mpz_t d, mp_bitcnt_t bit_index) ++{ ++ if (mpz_tstbit (d, bit_index) ^ (d->_mp_size < 0)) ++ mpz_abs_sub_bit (d, bit_index); ++ else ++ mpz_abs_add_bit (d, bit_index); ++} ++ ++void ++mpz_com (mpz_t r, const mpz_t u) ++{ ++ mpz_neg (r, u); ++ mpz_sub_ui (r, r, 1); ++} ++ ++void ++mpz_and (mpz_t r, const mpz_t u, const mpz_t v) ++{ ++ mp_size_t un, vn, rn, i; ++ mp_ptr up, vp, rp; ++ ++ mp_limb_t ux, vx, rx; ++ mp_limb_t uc, vc, rc; ++ mp_limb_t ul, vl, rl; ++ ++ un = GMP_ABS (u->_mp_size); ++ vn = GMP_ABS (v->_mp_size); ++ if (un < vn) ++ { ++ MPZ_SRCPTR_SWAP (u, v); ++ MP_SIZE_T_SWAP (un, vn); ++ } ++ if (vn == 0) ++ { ++ r->_mp_size = 0; ++ return; ++ } ++ ++ uc = u->_mp_size < 0; ++ vc = v->_mp_size < 0; ++ rc = uc & vc; ++ ++ ux = -uc; ++ vx = -vc; ++ rx = -rc; ++ ++ /* If the smaller input is positive, higher limbs don't matter. */ ++ rn = vx ? un : vn; ++ ++ rp = MPZ_REALLOC (r, rn + rc); ++ ++ up = u->_mp_d; ++ vp = v->_mp_d; ++ ++ i = 0; ++ do ++ { ++ ul = (up[i] ^ ux) + uc; ++ uc = ul < uc; ++ ++ vl = (vp[i] ^ vx) + vc; ++ vc = vl < vc; ++ ++ rl = ( (ul & vl) ^ rx) + rc; ++ rc = rl < rc; ++ rp[i] = rl; ++ } ++ while (++i < vn); ++ assert (vc == 0); ++ ++ for (; i < rn; i++) ++ { ++ ul = (up[i] ^ ux) + uc; ++ uc = ul < uc; ++ ++ rl = ( (ul & vx) ^ rx) + rc; ++ rc = rl < rc; ++ rp[i] = rl; ++ } ++ if (rc) ++ rp[rn++] = rc; ++ else ++ rn = mpn_normalized_size (rp, rn); ++ ++ r->_mp_size = rx ? -rn : rn; ++} ++ ++void ++mpz_ior (mpz_t r, const mpz_t u, const mpz_t v) ++{ ++ mp_size_t un, vn, rn, i; ++ mp_ptr up, vp, rp; ++ ++ mp_limb_t ux, vx, rx; ++ mp_limb_t uc, vc, rc; ++ mp_limb_t ul, vl, rl; ++ ++ un = GMP_ABS (u->_mp_size); ++ vn = GMP_ABS (v->_mp_size); ++ if (un < vn) ++ { ++ MPZ_SRCPTR_SWAP (u, v); ++ MP_SIZE_T_SWAP (un, vn); ++ } ++ if (vn == 0) ++ { ++ mpz_set (r, u); ++ return; ++ } ++ ++ uc = u->_mp_size < 0; ++ vc = v->_mp_size < 0; ++ rc = uc | vc; ++ ++ ux = -uc; ++ vx = -vc; ++ rx = -rc; ++ ++ /* If the smaller input is negative, by sign extension higher limbs ++ don't matter. */ ++ rn = vx ? vn : un; ++ ++ rp = MPZ_REALLOC (r, rn + rc); ++ ++ up = u->_mp_d; ++ vp = v->_mp_d; ++ ++ i = 0; ++ do ++ { ++ ul = (up[i] ^ ux) + uc; ++ uc = ul < uc; ++ ++ vl = (vp[i] ^ vx) + vc; ++ vc = vl < vc; ++ ++ rl = ( (ul | vl) ^ rx) + rc; ++ rc = rl < rc; ++ rp[i] = rl; ++ } ++ while (++i < vn); ++ assert (vc == 0); ++ ++ for (; i < rn; i++) ++ { ++ ul = (up[i] ^ ux) + uc; ++ uc = ul < uc; ++ ++ rl = ( (ul | vx) ^ rx) + rc; ++ rc = rl < rc; ++ rp[i] = rl; ++ } ++ if (rc) ++ rp[rn++] = rc; ++ else ++ rn = mpn_normalized_size (rp, rn); ++ ++ r->_mp_size = rx ? -rn : rn; ++} ++ ++void ++mpz_xor (mpz_t r, const mpz_t u, const mpz_t v) ++{ ++ mp_size_t un, vn, i; ++ mp_ptr up, vp, rp; ++ ++ mp_limb_t ux, vx, rx; ++ mp_limb_t uc, vc, rc; ++ mp_limb_t ul, vl, rl; ++ ++ un = GMP_ABS (u->_mp_size); ++ vn = GMP_ABS (v->_mp_size); ++ if (un < vn) ++ { ++ MPZ_SRCPTR_SWAP (u, v); ++ MP_SIZE_T_SWAP (un, vn); ++ } ++ if (vn == 0) ++ { ++ mpz_set (r, u); ++ return; ++ } ++ ++ uc = u->_mp_size < 0; ++ vc = v->_mp_size < 0; ++ rc = uc ^ vc; ++ ++ ux = -uc; ++ vx = -vc; ++ rx = -rc; ++ ++ rp = MPZ_REALLOC (r, un + rc); ++ ++ up = u->_mp_d; ++ vp = v->_mp_d; ++ ++ i = 0; ++ do ++ { ++ ul = (up[i] ^ ux) + uc; ++ uc = ul < uc; ++ ++ vl = (vp[i] ^ vx) + vc; ++ vc = vl < vc; ++ ++ rl = (ul ^ vl ^ rx) + rc; ++ rc = rl < rc; ++ rp[i] = rl; ++ } ++ while (++i < vn); ++ assert (vc == 0); ++ ++ for (; i < un; i++) ++ { ++ ul = (up[i] ^ ux) + uc; ++ uc = ul < uc; ++ ++ rl = (ul ^ ux) + rc; ++ rc = rl < rc; ++ rp[i] = rl; ++ } ++ if (rc) ++ rp[un++] = rc; ++ else ++ un = mpn_normalized_size (rp, un); ++ ++ r->_mp_size = rx ? -un : un; ++} ++ ++static unsigned ++gmp_popcount_limb (mp_limb_t x) ++{ ++ unsigned c; ++ ++ /* Do 16 bits at a time, to avoid limb-sized constants. */ ++ for (c = 0; x > 0; x >>= 16) ++ { ++ unsigned w = ((x >> 1) & 0x5555) + (x & 0x5555); ++ w = ((w >> 2) & 0x3333) + (w & 0x3333); ++ w = ((w >> 4) & 0x0f0f) + (w & 0x0f0f); ++ w = (w >> 8) + (w & 0x00ff); ++ c += w; ++ } ++ return c; ++} ++ ++mp_bitcnt_t ++mpn_popcount (mp_srcptr p, mp_size_t n) ++{ ++ mp_size_t i; ++ mp_bitcnt_t c; ++ ++ for (c = 0, i = 0; i < n; i++) ++ c += gmp_popcount_limb (p[i]); ++ ++ return c; ++} ++ ++mp_bitcnt_t ++mpz_popcount (const mpz_t u) ++{ ++ mp_size_t un; ++ ++ un = u->_mp_size; ++ ++ if (un < 0) ++ return ~(mp_bitcnt_t) 0; ++ ++ return mpn_popcount (u->_mp_d, un); ++} ++ ++mp_bitcnt_t ++mpz_hamdist (const mpz_t u, const mpz_t v) ++{ ++ mp_size_t un, vn, i; ++ mp_limb_t uc, vc, ul, vl, comp; ++ mp_srcptr up, vp; ++ mp_bitcnt_t c; ++ ++ un = u->_mp_size; ++ vn = v->_mp_size; ++ ++ if ( (un ^ vn) < 0) ++ return ~(mp_bitcnt_t) 0; ++ ++ comp = - (uc = vc = (un < 0)); ++ if (uc) ++ { ++ assert (vn < 0); ++ un = -un; ++ vn = -vn; ++ } ++ ++ up = u->_mp_d; ++ vp = v->_mp_d; ++ ++ if (un < vn) ++ MPN_SRCPTR_SWAP (up, un, vp, vn); ++ ++ for (i = 0, c = 0; i < vn; i++) ++ { ++ ul = (up[i] ^ comp) + uc; ++ uc = ul < uc; ++ ++ vl = (vp[i] ^ comp) + vc; ++ vc = vl < vc; ++ ++ c += gmp_popcount_limb (ul ^ vl); ++ } ++ assert (vc == 0); ++ ++ for (; i < un; i++) ++ { ++ ul = (up[i] ^ comp) + uc; ++ uc = ul < uc; ++ ++ c += gmp_popcount_limb (ul ^ comp); ++ } ++ ++ return c; ++} ++ ++mp_bitcnt_t ++mpz_scan1 (const mpz_t u, mp_bitcnt_t starting_bit) ++{ ++ mp_ptr up; ++ mp_size_t us, un, i; ++ mp_limb_t limb, ux; ++ ++ us = u->_mp_size; ++ un = GMP_ABS (us); ++ i = starting_bit / GMP_LIMB_BITS; ++ ++ /* Past the end there's no 1 bits for u>=0, or an immediate 1 bit ++ for u<0. Notice this test picks up any u==0 too. */ ++ if (i >= un) ++ return (us >= 0 ? ~(mp_bitcnt_t) 0 : starting_bit); ++ ++ up = u->_mp_d; ++ ux = 0; ++ limb = up[i]; ++ ++ if (starting_bit != 0) ++ { ++ if (us < 0) ++ { ++ ux = mpn_zero_p (up, i); ++ limb = ~ limb + ux; ++ ux = - (mp_limb_t) (limb >= ux); ++ } ++ ++ /* Mask to 0 all bits before starting_bit, thus ignoring them. */ ++ limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS)); ++ } ++ ++ return mpn_common_scan (limb, i, up, un, ux); ++} ++ ++mp_bitcnt_t ++mpz_scan0 (const mpz_t u, mp_bitcnt_t starting_bit) ++{ ++ mp_ptr up; ++ mp_size_t us, un, i; ++ mp_limb_t limb, ux; ++ ++ us = u->_mp_size; ++ ux = - (mp_limb_t) (us >= 0); ++ un = GMP_ABS (us); ++ i = starting_bit / GMP_LIMB_BITS; ++ ++ /* When past end, there's an immediate 0 bit for u>=0, or no 0 bits for ++ u<0. Notice this test picks up all cases of u==0 too. */ ++ if (i >= un) ++ return (ux ? starting_bit : ~(mp_bitcnt_t) 0); ++ ++ up = u->_mp_d; ++ limb = up[i] ^ ux; ++ ++ if (ux == 0) ++ limb -= mpn_zero_p (up, i); /* limb = ~(~limb + zero_p) */ ++ ++ /* Mask all bits before starting_bit, thus ignoring them. */ ++ limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS)); ++ ++ return mpn_common_scan (limb, i, up, un, ux); ++} ++ ++ ++/* MPZ base conversion. */ ++ ++size_t ++mpz_sizeinbase (const mpz_t u, int base) ++{ ++ mp_size_t un; ++ mp_srcptr up; ++ mp_ptr tp; ++ mp_bitcnt_t bits; ++ struct gmp_div_inverse bi; ++ size_t ndigits; ++ ++ assert (base >= 2); ++ assert (base <= 36); ++ ++ un = GMP_ABS (u->_mp_size); ++ if (un == 0) ++ return 1; ++ ++ up = u->_mp_d; ++ ++ bits = (un - 1) * GMP_LIMB_BITS + mpn_limb_size_in_base_2 (up[un-1]); ++ switch (base) ++ { ++ case 2: ++ return bits; ++ case 4: ++ return (bits + 1) / 2; ++ case 8: ++ return (bits + 2) / 3; ++ case 16: ++ return (bits + 3) / 4; ++ case 32: ++ return (bits + 4) / 5; ++ /* FIXME: Do something more clever for the common case of base ++ 10. */ ++ } ++ ++ tp = gmp_xalloc_limbs (un); ++ mpn_copyi (tp, up, un); ++ mpn_div_qr_1_invert (&bi, base); ++ ++ ndigits = 0; ++ do ++ { ++ ndigits++; ++ mpn_div_qr_1_preinv (tp, tp, un, &bi); ++ un -= (tp[un-1] == 0); ++ } ++ while (un > 0); ++ ++ gmp_free (tp); ++ return ndigits; ++} ++ ++char * ++mpz_get_str (char *sp, int base, const mpz_t u) ++{ ++ unsigned bits; ++ const char *digits; ++ mp_size_t un; ++ size_t i, sn; ++ ++ if (base >= 0) ++ { ++ digits = "0123456789abcdefghijklmnopqrstuvwxyz"; ++ } ++ else ++ { ++ base = -base; ++ digits = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"; ++ } ++ if (base <= 1) ++ base = 10; ++ if (base > 36) ++ return NULL; ++ ++ sn = 1 + mpz_sizeinbase (u, base); ++ if (!sp) ++ sp = gmp_xalloc (1 + sn); ++ ++ un = GMP_ABS (u->_mp_size); ++ ++ if (un == 0) ++ { ++ sp[0] = '0'; ++ sp[1] = '\0'; ++ return sp; ++ } ++ ++ i = 0; ++ ++ if (u->_mp_size < 0) ++ sp[i++] = '-'; ++ ++ bits = mpn_base_power_of_two_p (base); ++ ++ if (bits) ++ /* Not modified in this case. */ ++ sn = i + mpn_get_str_bits ((unsigned char *) sp + i, bits, u->_mp_d, un); ++ else ++ { ++ struct mpn_base_info info; ++ mp_ptr tp; ++ ++ mpn_get_base_info (&info, base); ++ tp = gmp_xalloc_limbs (un); ++ mpn_copyi (tp, u->_mp_d, un); ++ ++ sn = i + mpn_get_str_other ((unsigned char *) sp + i, base, &info, tp, un); ++ gmp_free (tp); ++ } ++ ++ for (; i < sn; i++) ++ sp[i] = digits[(unsigned char) sp[i]]; ++ ++ sp[sn] = '\0'; ++ return sp; ++} ++ ++int ++mpz_set_str (mpz_t r, const char *sp, int base) ++{ ++ unsigned bits; ++ mp_size_t rn, alloc; ++ mp_ptr rp; ++ size_t sn; ++ int sign; ++ unsigned char *dp; ++ ++ assert (base == 0 || (base >= 2 && base <= 36)); ++ ++ while (isspace( (unsigned char) *sp)) ++ sp++; ++ ++ sign = (*sp == '-'); ++ sp += sign; ++ ++ if (base == 0) ++ { ++ if (*sp == '0') ++ { ++ sp++; ++ if (*sp == 'x' || *sp == 'X') ++ { ++ base = 16; ++ sp++; ++ } ++ else if (*sp == 'b' || *sp == 'B') ++ { ++ base = 2; ++ sp++; ++ } ++ else ++ base = 8; ++ } ++ else ++ base = 10; ++ } ++ ++ sn = strlen (sp); ++ dp = gmp_xalloc (sn + (sn == 0)); ++ ++ for (sn = 0; *sp; sp++) ++ { ++ unsigned digit; ++ ++ if (isspace ((unsigned char) *sp)) ++ continue; ++ if (*sp >= '0' && *sp <= '9') ++ digit = *sp - '0'; ++ else if (*sp >= 'a' && *sp <= 'z') ++ digit = *sp - 'a' + 10; ++ else if (*sp >= 'A' && *sp <= 'Z') ++ digit = *sp - 'A' + 10; ++ else ++ digit = base; /* fail */ ++ ++ if (digit >= base) ++ { ++ gmp_free (dp); ++ r->_mp_size = 0; ++ return -1; ++ } ++ ++ dp[sn++] = digit; ++ } ++ ++ bits = mpn_base_power_of_two_p (base); ++ ++ if (bits > 0) ++ { ++ alloc = (sn * bits + GMP_LIMB_BITS - 1) / GMP_LIMB_BITS; ++ rp = MPZ_REALLOC (r, alloc); ++ rn = mpn_set_str_bits (rp, dp, sn, bits); ++ } ++ else ++ { ++ struct mpn_base_info info; ++ mpn_get_base_info (&info, base); ++ alloc = (sn + info.exp - 1) / info.exp; ++ rp = MPZ_REALLOC (r, alloc); ++ rn = mpn_set_str_other (rp, dp, sn, base, &info); ++ } ++ assert (rn <= alloc); ++ gmp_free (dp); ++ ++ r->_mp_size = sign ? - rn : rn; ++ ++ return 0; ++} ++ ++int ++mpz_init_set_str (mpz_t r, const char *sp, int base) ++{ ++ mpz_init (r); ++ return mpz_set_str (r, sp, base); ++} ++ ++size_t ++mpz_out_str (FILE *stream, int base, const mpz_t x) ++{ ++ char *str; ++ size_t len; ++ ++ str = mpz_get_str (NULL, base, x); ++ len = strlen (str); ++ len = fwrite (str, 1, len, stream); ++ gmp_free (str); ++ return len; ++} ++ ++ ++static int ++gmp_detect_endian (void) ++{ ++ static const int i = 2; ++ const unsigned char *p = (const unsigned char *) &i; ++ return 1 - *p; ++} ++ ++/* Import and export. Does not support nails. */ ++void ++mpz_import (mpz_t r, size_t count, int order, size_t size, int endian, ++ size_t nails, const void *src) ++{ ++ const unsigned char *p; ++ ptrdiff_t word_step; ++ mp_ptr rp; ++ mp_size_t rn; ++ ++ /* The current (partial) limb. */ ++ mp_limb_t limb; ++ /* The number of bytes already copied to this limb (starting from ++ the low end). */ ++ size_t bytes; ++ /* The index where the limb should be stored, when completed. */ ++ mp_size_t i; ++ ++ if (nails != 0) ++ gmp_die ("mpz_import: Nails not supported."); ++ ++ assert (order == 1 || order == -1); ++ assert (endian >= -1 && endian <= 1); ++ ++ if (endian == 0) ++ endian = gmp_detect_endian (); ++ ++ p = (unsigned char *) src; ++ ++ word_step = (order != endian) ? 2 * size : 0; ++ ++ /* Process bytes from the least significant end, so point p at the ++ least significant word. */ ++ if (order == 1) ++ { ++ p += size * (count - 1); ++ word_step = - word_step; ++ } ++ ++ /* And at least significant byte of that word. */ ++ if (endian == 1) ++ p += (size - 1); ++ ++ rn = (size * count + sizeof(mp_limb_t) - 1) / sizeof(mp_limb_t); ++ rp = MPZ_REALLOC (r, rn); ++ ++ for (limb = 0, bytes = 0, i = 0; count > 0; count--, p += word_step) ++ { ++ size_t j; ++ for (j = 0; j < size; j++, p -= (ptrdiff_t) endian) ++ { ++ limb |= (mp_limb_t) *p << (bytes++ * CHAR_BIT); ++ if (bytes == sizeof(mp_limb_t)) ++ { ++ rp[i++] = limb; ++ bytes = 0; ++ limb = 0; ++ } ++ } ++ } ++ assert (i + (bytes > 0) == rn); ++ if (limb != 0) ++ rp[i++] = limb; ++ else ++ i = mpn_normalized_size (rp, i); ++ ++ r->_mp_size = i; ++} ++ ++void * ++mpz_export (void *r, size_t *countp, int order, size_t size, int endian, ++ size_t nails, const mpz_t u) ++{ ++ size_t count; ++ mp_size_t un; ++ ++ if (nails != 0) ++ gmp_die ("mpz_import: Nails not supported."); ++ ++ assert (order == 1 || order == -1); ++ assert (endian >= -1 && endian <= 1); ++ assert (size > 0 || u->_mp_size == 0); ++ ++ un = u->_mp_size; ++ count = 0; ++ if (un != 0) ++ { ++ size_t k; ++ unsigned char *p; ++ ptrdiff_t word_step; ++ /* The current (partial) limb. */ ++ mp_limb_t limb; ++ /* The number of bytes left to to in this limb. */ ++ size_t bytes; ++ /* The index where the limb was read. */ ++ mp_size_t i; ++ ++ un = GMP_ABS (un); ++ ++ /* Count bytes in top limb. */ ++ limb = u->_mp_d[un-1]; ++ assert (limb != 0); ++ ++ k = 0; ++ do { ++ k++; limb >>= CHAR_BIT; ++ } while (limb != 0); ++ ++ count = (k + (un-1) * sizeof (mp_limb_t) + size - 1) / size; ++ ++ if (!r) ++ r = gmp_xalloc (count * size); ++ ++ if (endian == 0) ++ endian = gmp_detect_endian (); ++ ++ p = (unsigned char *) r; ++ ++ word_step = (order != endian) ? 2 * size : 0; ++ ++ /* Process bytes from the least significant end, so point p at the ++ least significant word. */ ++ if (order == 1) ++ { ++ p += size * (count - 1); ++ word_step = - word_step; ++ } ++ ++ /* And at least significant byte of that word. */ ++ if (endian == 1) ++ p += (size - 1); ++ ++ for (bytes = 0, i = 0, k = 0; k < count; k++, p += word_step) ++ { ++ size_t j; ++ for (j = 0; j < size; j++, p -= (ptrdiff_t) endian) ++ { ++ if (bytes == 0) ++ { ++ if (i < un) ++ limb = u->_mp_d[i++]; ++ bytes = sizeof (mp_limb_t); ++ } ++ *p = limb; ++ limb >>= CHAR_BIT; ++ bytes--; ++ } ++ } ++ assert (i == un); ++ assert (k == count); ++ } ++ ++ if (countp) ++ *countp = count; ++ ++ return r; ++} diff --git a/package/network/utils/nftables/patches/103-remove-libintl-check.patch b/package/network/utils/nftables/patches/103-remove-libintl-check.patch new file mode 100644 index 0000000000..c52612d365 --- /dev/null +++ b/package/network/utils/nftables/patches/103-remove-libintl-check.patch @@ -0,0 +1,11 @@ +--- a/configure.ac ++++ b/configure.ac +@@ -94,7 +94,7 @@ AC_SUBST(with_libreadline) + # Checks for header files. + AC_HEADER_STDC + AC_HEADER_ASSERT +-AC_CHECK_HEADERS([arpa/inet.h fcntl.h inttypes.h libintl.h limits.h malloc.h \ ++AC_CHECK_HEADERS([arpa/inet.h fcntl.h inttypes.h limits.h malloc.h \ + netdb.h netinet/in.h netinet/ip.h netinet/ip6.h \ + netinet/tcp.h netinet/udp.h netinet/ip_icmp.h \ + stddef.h stdint.h stdlib.h string.h unistd.h], , diff --git a/package/network/utils/nftables/patches/104-fix-CFLAGS-handling.patch b/package/network/utils/nftables/patches/104-fix-CFLAGS-handling.patch new file mode 100644 index 0000000000..4a85df29af --- /dev/null +++ b/package/network/utils/nftables/patches/104-fix-CFLAGS-handling.patch @@ -0,0 +1,10 @@ +--- a/Makefile.defs.in ++++ b/Makefile.defs.in +@@ -24,6 +24,7 @@ LDFLAGS += @LIBS@ + + CPPFLAGS += @CPPFLAGS@ + ++CFLAGS := + CFLAGS += @CFLAGS@ @DEFS@ + CFLAGS += -DDEFAULT_INCLUDE_PATH="\"$(confdir)\"" + CFLAGS += -include config.h |