diff options
| author | Steven Barth <cyrus@openwrt.org> | 2015-01-08 11:31:36 +0000 |
|---|---|---|
| committer | Steven Barth <cyrus@openwrt.org> | 2015-01-08 11:31:36 +0000 |
| commit | afff105706cc4906dbeaced0ae2781ae7d8c147b (patch) | |
| tree | 94fe310bc8e7a96473ed8dea8cf0b675f8e3cc6a /package | |
| parent | 15d8db1f8c467763ed437184a80e9da6c02e69f2 (diff) | |
| download | mtk-20170518-afff105706cc4906dbeaced0ae2781ae7d8c147b.zip mtk-20170518-afff105706cc4906dbeaced0ae2781ae7d8c147b.tar.gz mtk-20170518-afff105706cc4906dbeaced0ae2781ae7d8c147b.tar.bz2 | |
nftables: bump to latest git / all patches upstreamed
Signed-off-by: Steven Barth <steven@midlink.org>
SVN-Revision: 43870
Diffstat (limited to 'package')
6 files changed, 4 insertions, 5030 deletions
diff --git a/package/network/utils/nftables/Makefile b/package/network/utils/nftables/Makefile index 7c7ce26..194119b 100644 --- a/package/network/utils/nftables/Makefile +++ b/package/network/utils/nftables/Makefile @@ -1,4 +1,4 @@ -# Copyright (C) 2014 OpenWrt.org +# Copyright (C) 2015 OpenWrt.org # # This is free software, licensed under the GNU General Public License v2. # See /LICENSE for more information. @@ -7,14 +7,14 @@ include $(TOPDIR)/rules.mk PKG_NAME:=nftables -PKG_VERSION:=0.4 +PKG_VERSION:=0.4+2015-01-08 PKG_RELEASE:=1 PKG_SOURCE:=$(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:=v0.4 +PKG_SOURCE_VERSION:=b3529cf43bba5c3c4cddefa7f5d0143d510fd3ec PKG_MAINTAINER:=Steven Barth <steven@midlink.org> PKG_LICENSE:=GPL-2.0 @@ -24,7 +24,7 @@ include $(INCLUDE_DIR)/package.mk CONFIGURE_ARGS += \ --disable-debug \ - --without-libgmp \ + --with-mini-gmp \ --without-cli \ define Package/nftables diff --git a/package/network/utils/nftables/patches/201-parser-rename-VERSION-token-to-IPHDRVERSION.patch b/package/network/utils/nftables/patches/201-parser-rename-VERSION-token-to-IPHDRVERSION.patch deleted file mode 100644 index a82b8c6..0000000 --- a/package/network/utils/nftables/patches/201-parser-rename-VERSION-token-to-IPHDRVERSION.patch +++ /dev/null @@ -1,55 +0,0 @@ -From 20417d50a2f2c6d9ed1b22ca1195214d0c2c402d Mon Sep 17 00:00:00 2001 -From: Steven Barth <cyrus@openwrt.org> -Date: Mon, 15 Dec 2014 13:58:55 +0100 -Subject: [PATCH 1/5] parser: rename VERSION token to IPHDRVERSION - -A token name of VERSION results in a macro being defined -with the same name. This prevents inclusion of config.h -in commonly used headers. - -Signed-off-by: Steven Barth <cyrus@openwrt.org> ---- - src/parser_bison.y | 6 +++--- - src/scanner.l | 2 +- - 2 files changed, 4 insertions(+), 4 deletions(-) - ---- a/src/parser_bison.y -+++ b/src/parser_bison.y -@@ -237,7 +237,7 @@ static void location_update(struct locat - %token OPERATION "operation" - - %token IP "ip" --%token VERSION "version" -+%token IPHDRVERSION "version" - %token HDRLENGTH "hdrlength" - %token TOS "tos" - %token LENGTH "length" -@@ -1947,7 +1947,7 @@ ip_hdr_expr : IP ip_hdr_field - } - ; - --ip_hdr_field : VERSION { $$ = IPHDR_VERSION; } -+ip_hdr_field : IPHDRVERSION { $$ = IPHDR_VERSION; } - | HDRLENGTH { $$ = IPHDR_HDRLENGTH; } - | TOS { $$ = IPHDR_TOS; } - | LENGTH { $$ = IPHDR_LENGTH; } -@@ -1994,7 +1994,7 @@ ip6_hdr_expr : IP6 ip6_hdr_field - } - ; - --ip6_hdr_field : VERSION { $$ = IP6HDR_VERSION; } -+ip6_hdr_field : IPHDRVERSION { $$ = IP6HDR_VERSION; } - | PRIORITY { $$ = IP6HDR_PRIORITY; } - | FLOWLABEL { $$ = IP6HDR_FLOWLABEL; } - | LENGTH { $$ = IP6HDR_LENGTH; } ---- a/src/scanner.l -+++ b/src/scanner.l -@@ -349,7 +349,7 @@ addrstring ({macaddr}|{ip4addr}|{ip6addr - "operation" { return OPERATION; } - - "ip" { return IP; } --"version" { return VERSION; } -+"version" { return IPHDRVERSION; } - "hdrlength" { return HDRLENGTH; } - "tos" { return TOS; } - "length" { return LENGTH; } diff --git a/package/network/utils/nftables/patches/202-datatype-use-mpz_set_str-instead-of-gmp_sscanf.patch b/package/network/utils/nftables/patches/202-datatype-use-mpz_set_str-instead-of-gmp_sscanf.patch deleted file mode 100644 index 4b22ec2..0000000 --- a/package/network/utils/nftables/patches/202-datatype-use-mpz_set_str-instead-of-gmp_sscanf.patch +++ /dev/null @@ -1,28 +0,0 @@ -From 23e8958a5e539f682be4cbdf5196aa2014c7e295 Mon Sep 17 00:00:00 2001 -From: Steven Barth <cyrus@openwrt.org> -Date: Mon, 15 Dec 2014 14:09:27 +0100 -Subject: [PATCH 2/5] datatype: use mpz_set_str instead of gmp_sscanf - -This simplifies the integer parsing logic and restricts it to -functions being part of the mini-gmp subset. - -Signed-off-by: Steven Barth <cyrus@openwrt.org> ---- - src/datatype.c | 4 +--- - 1 file changed, 1 insertion(+), 3 deletions(-) - ---- a/src/datatype.c -+++ b/src/datatype.c -@@ -275,11 +275,9 @@ 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); - return error(&sym->location, "Could not parse %s", - sym->dtype->desc); diff --git a/package/network/utils/nftables/patches/203-erec-use-stdio-vasprintf-instead-of-gmp_vasprintf.patch b/package/network/utils/nftables/patches/203-erec-use-stdio-vasprintf-instead-of-gmp_vasprintf.patch deleted file mode 100644 index dc4d965..0000000 --- a/package/network/utils/nftables/patches/203-erec-use-stdio-vasprintf-instead-of-gmp_vasprintf.patch +++ /dev/null @@ -1,58 +0,0 @@ -From ee23bda1e4a85243fa02dc712f0f323e366dbf8c Mon Sep 17 00:00:00 2001 -From: Steven Barth <cyrus@openwrt.org> -Date: Mon, 15 Dec 2014 14:14:46 +0100 -Subject: [PATCH 3/5] erec: use stdio vasprintf instead of gmp_vasprintf - -Use stdio's vasprintf instead of gmp_vasprintf which is not part -of the mini-gmp function subset. Furthermore convert the only -gmp-specific user and allow the compiler to verify format-strings. - -Signed-off-by: Steven Barth <cyrus@openwrt.org> ---- - src/erec.c | 6 +++++- - src/evaluate.c | 8 ++++++-- - 2 files changed, 11 insertions(+), 3 deletions(-) - ---- a/src/erec.c -+++ b/src/erec.c -@@ -44,6 +44,7 @@ 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) -@@ -55,10 +56,13 @@ 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) < 0) -+ erec->msg = NULL; -+ - 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 -@@ -232,9 +232,13 @@ 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; - } diff --git a/package/network/utils/nftables/patches/204-mini-gmp-add-mini-gmp-source-and-headers-from-gmplib.patch b/package/network/utils/nftables/patches/204-mini-gmp-add-mini-gmp-source-and-headers-from-gmplib.patch deleted file mode 100644 index 301320c..0000000 --- a/package/network/utils/nftables/patches/204-mini-gmp-add-mini-gmp-source-and-headers-from-gmplib.patch +++ /dev/null @@ -1,4699 +0,0 @@ -From fd1f58387c4dc1d90c8943167ef2aa9b23367890 Mon Sep 17 00:00:00 2001 -From: Steven Barth <cyrus@openwrt.org> -Date: Mon, 15 Dec 2014 14:25:59 +0100 -Subject: [PATCH 4/5] mini-gmp: add mini-gmp source and headers from gmplib 6.0 - -Signed-off-by: Steven Barth <cyrus@openwrt.org> ---- - include/mini-gmp.h | 294 ++++ - src/mini-gmp.c | 4386 ++++++++++++++++++++++++++++++++++++++++++++++++++++ - 2 files changed, 4680 insertions(+) - create mode 100644 include/mini-gmp.h - create mode 100644 src/mini-gmp.c - ---- /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__ */ ---- /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/205-build-add-without-libgmp-switch-to-disable-use-of-sh.patch b/package/network/utils/nftables/patches/205-build-add-without-libgmp-switch-to-disable-use-of-sh.patch deleted file mode 100644 index 195c2da..0000000 --- a/package/network/utils/nftables/patches/205-build-add-without-libgmp-switch-to-disable-use-of-sh.patch +++ /dev/null @@ -1,186 +0,0 @@ -From d73f1b630848fb7d90f51938e3c75a42ad947c26 Mon Sep 17 00:00:00 2001 -From: Steven Barth <cyrus@openwrt.org> -Date: Mon, 15 Dec 2014 14:26:34 +0100 -Subject: [PATCH 5/5] build: add --without-libgmp switch to disable use of - shared libgmp - -This disables linking the >400 KB big libgmp and replace it with -the builtin mini-gmp which only increases size by ~30KB. - -Signed-off-by: Steven Barth <cyrus@openwrt.org> ---- - configure.ac | 17 +++++++++++++--- - include/expression.h | 2 +- - include/gmputil.h | 10 +++++++++ - include/utils.h | 4 ++-- - src/Makefile.am | 4 ++++ - src/gmputil.c | 57 ++++++++++++++++++++++++++++++++++++++++++++++++++-- - 6 files changed, 86 insertions(+), 8 deletions(-) - ---- a/configure.ac -+++ b/configure.ac -@@ -73,8 +73,18 @@ AM_CONDITIONAL([BUILD_PDF], [test "$DBLA - PKG_CHECK_MODULES([LIBMNL], [libmnl >= 1.0.3]) - PKG_CHECK_MODULES([LIBNFTNL], [libnftnl >= 1.0.2]) - --AC_CHECK_LIB([gmp], [__gmpz_init], , -- AC_MSG_ERROR([No suitable version of libgmp found])) -+AC_ARG_WITH([libgmp], [AS_HELP_STRING([--without-libgmp], -+ [Disable libgmp support (use builtin mini-gmp)])], [], -+ [with_libgmp=yes]) -+AS_IF([test "x$with_libgmp" != xno], [ -+AC_CHECK_LIB([gmp],[__gmpz_init], , AC_MSG_ERROR([No suitable version of libgmp found])) -+]) -+AM_CONDITIONAL([BUILD_MINIGMP], [test "x$with_libgmp" == xno]) -+ -+ -+AS_IF([test "x$with_libgmp" != xyes -a "x$CONFIG_DEBUG" = xy], [ -+AC_MSG_ERROR([--without-libgmp MUST be used with --disable-debug]) -+]) - - AC_ARG_WITH([cli], [AS_HELP_STRING([--without-cli], - [disable interactive CLI (libreadline support)])], -@@ -130,4 +140,5 @@ AC_OUTPUT - echo " - nft configuration: - cli support: ${with_cli} -- enable debugging: ${with_debug}" -+ enable debugging: ${with_debug} -+ use shared libgmp: ${with_libgmp}" ---- a/include/expression.h -+++ b/include/expression.h -@@ -2,7 +2,7 @@ - #define NFTABLES_EXPRESSION_H - - #include <stdbool.h> --#include <gmp.h> -+#include <gmputil.h> - #include <linux/netfilter/nf_tables.h> - - #include <nftables.h> ---- a/include/gmputil.h -+++ b/include/gmputil.h -@@ -1,7 +1,17 @@ - #ifndef NFTABLES_GMPUTIL_H - #define NFTABLES_GMPUTIL_H - -+#include <config.h> -+ -+#ifdef HAVE_LIBGMP - #include <gmp.h> -+#else -+#include <mini-gmp.h> -+/* mini-gmp doesn't come with gmp_printf, so we use our own minimal variant */ -+extern int mpz_printf(const char *format, const mpz_t value); -+#define gmp_printf mpz_printf -+#endif -+ - #include <asm/byteorder.h> - - enum mpz_word_order { ---- 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 <gmputil.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...) ({ if (false) {}; 0; }) - #endif - - #define __fmtstring(x, y) __attribute__((format(printf, x, y))) ---- a/src/Makefile.am -+++ b/src/Makefile.am -@@ -51,4 +51,8 @@ if BUILD_CLI - nft_SOURCES += cli.c - endif - -+if BUILD_MINIGMP -+nft_SOURCES += mini-gmp.c -+endif -+ - nft_LDADD = ${LIBMNL_LIBS} ${LIBNFTNL_LIBS} ---- a/src/gmputil.c -+++ b/src/gmputil.c -@@ -14,11 +14,9 @@ - #include <stdio.h> - #include <unistd.h> - #include <string.h> --#include <gmp.h> - - #include <nftables.h> - #include <datatype.h> --#include <gmputil.h> - #include <utils.h> - - void mpz_bitmask(mpz_t rop, unsigned int width) -@@ -148,6 +146,61 @@ void mpz_switch_byteorder(mpz_t rop, uns - mpz_import_data(rop, data, BYTEORDER_HOST_ENDIAN, len); - } - -+#ifndef HAVE_LIBGMP -+/* mini-gmp doesn't have a gmp_printf so we use our own minimal -+ * variant here which is able to format a single mpz_t */ -+int mpz_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; -+} -+#endif -+ - static void *gmp_xrealloc(void *ptr, size_t old_size, size_t new_size) - { - return xrealloc(ptr, new_size); |