From 1c27c61f26236ae14eec16e9a43b7d785216bd64 Mon Sep 17 00:00:00 2001 From: Lock l00p Date: Thu, 28 Sep 2023 18:52:14 +0000 Subject: [PATCH] Begin by porting libraries --- .gitignore | 2 + Makefile | 247 +- .../emscripten/d0_blind_id/bin/blind_id | Bin 0 -> 318011 bytes .../d0_blind_id/include/d0_blind_id/d0.h | 66 + .../include/d0_blind_id/d0_blind_id.h | 91 + .../include/d0_blind_id/d0_rijndael.h | 21 + .../d0_blind_id/lib/libd0_blind_id.a | Bin 0 -> 209924 bytes .../d0_blind_id/lib/libd0_blind_id.la | 41 + .../d0_blind_id/lib/libd0_blind_id.so | 1 + .../d0_blind_id/lib/libd0_blind_id.so.0 | 1 + .../d0_blind_id/lib/libd0_blind_id.so.0.7.1 | Bin 0 -> 624149 bytes .../d0_blind_id/lib/libd0_rijndael.a | Bin 0 -> 39300 bytes .../d0_blind_id/lib/libd0_rijndael.la | 41 + .../d0_blind_id/lib/libd0_rijndael.so | 1 + .../d0_blind_id/lib/libd0_rijndael.so.0 | 1 + .../d0_blind_id/lib/libd0_rijndael.so.0.0.0 | Bin 0 -> 33374 bytes .../d0_blind_id/lib/pkgconfig/d0_blind_id.pc | 11 + 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create mode 100644 misc/builddeps/emscripten/ode/include/ode/memory.h create mode 100644 misc/builddeps/emscripten/ode/include/ode/misc.h create mode 100644 misc/builddeps/emscripten/ode/include/ode/objects.h create mode 100644 misc/builddeps/emscripten/ode/include/ode/ode.h create mode 100644 misc/builddeps/emscripten/ode/include/ode/odecpp.h create mode 100644 misc/builddeps/emscripten/ode/include/ode/odecpp_collision.h create mode 100644 misc/builddeps/emscripten/ode/include/ode/odecpp_old.h create mode 100644 misc/builddeps/emscripten/ode/include/ode/odemath.h create mode 100644 misc/builddeps/emscripten/ode/include/ode/rotation.h create mode 100644 misc/builddeps/emscripten/ode/include/ode/timer.h create mode 100644 misc/builddeps/emscripten/ode/lib/libode.a create mode 100644 misc/tools/all/emscripten.subr diff --git a/.gitignore b/.gitignore index 9c8d3f41..3e0fdfa7 100644 --- a/.gitignore +++ b/.gitignore @@ -14,6 +14,8 @@ /xonstatdb/ /xonotic.org /wiki +/.tmp/ + .idea/ /result* diff --git a/Makefile b/Makefile index 2300f386..7733c970 100644 --- a/Makefile +++ b/Makefile @@ -1,97 +1,154 @@ -DPSRC = source/darkplaces -D0SRC = source/d0_blind_id -CLIENT = xonotic-local-sdl -SERVER = xonotic-local-dedicated - -# CC and MAKEFLAGS are always set so ?= has no effect, therefore -# we use CFLAGS to set default optimisations which users may override -CFLAGS ?= -pipe -march=native -mtune=native -flto=auto -# user can override this with make -j -MAKEFLAGS := -j$(shell nproc) -# DP makefile overrides CFLAGS (exporting CFLAGS does work for d0_blind_id but so does this) -export CC += $(CFLAGS) - -# d0_blind_id header location -export CC += -I$(PWD)/source/ -# d0_blind_id static libs location -export CC += -L$(PWD)/$(D0SRC)/.libs/ -# Player IDs: DP_LINK_CRYPTO needs to be set (else it defaults to "dlopen"), -# it should be set to "shared" but then LIB_CRYPTO gets overridden in DP makefile, -# and we need to set LIB_CRYPTO such that libgmp gets linked -export DP_LINK_CRYPTO=foo -export CFLAGS_CRYPTO=-DLINK_TO_CRYPTO -export LIB_CRYPTO=-ld0_blind_id -lgmp -# AES -export DP_LINK_CRYPTO_RIJNDAEL=shared - - -.PHONY: help +# CMAKE generated file: DO NOT EDIT! +# Generated by "Unix Makefiles" Generator, CMake Version 3.27 + +# Default target executed when no arguments are given to make. +default_target: all +.PHONY : default_target + +# Allow only one "make -f Makefile2" at a time, but pass parallelism. +.NOTPARALLEL: + +#============================================================================= +# Special targets provided by cmake. + +# Disable implicit rules so canonical targets will work. +.SUFFIXES: + +# Disable VCS-based implicit rules. +% : %,v + +# Disable VCS-based implicit rules. +% : RCS/% + +# Disable VCS-based implicit rules. +% : RCS/%,v + +# Disable VCS-based implicit rules. +% : SCCS/s.% + +# Disable VCS-based implicit rules. +% : s.% + +.SUFFIXES: .hpux_make_needs_suffix_list + +# Command-line flag to silence nested $(MAKE). +$(VERBOSE)MAKESILENT = -s + +#Suppress display of executed commands. +$(VERBOSE).SILENT: + +# A target that is always out of date. +cmake_force: +.PHONY : cmake_force + +#============================================================================= +# Set environment variables for the build. + +# The shell in which to execute make rules. +SHELL = /bin/sh + +# The CMake executable. +CMAKE_COMMAND = /home/linuxbrew/.linuxbrew/Cellar/cmake/3.27.5/bin/cmake + +# The command to remove a file. +RM = /home/linuxbrew/.linuxbrew/Cellar/cmake/3.27.5/bin/cmake -E rm -f + +# Escaping for special characters. +EQUALS = = + +# The top-level source directory on which CMake was run. +CMAKE_SOURCE_DIR = /workspace/xonotic + +# The top-level build directory on which CMake was run. +CMAKE_BINARY_DIR = /workspace/xonotic + +#============================================================================= +# Targets provided globally by CMake. + +# Special rule for the target edit_cache +edit_cache: + @$(CMAKE_COMMAND) -E cmake_echo_color "--switch=$(COLOR)" --cyan "Running CMake cache editor..." + /home/linuxbrew/.linuxbrew/Cellar/cmake/3.27.5/bin/ccmake -S$(CMAKE_SOURCE_DIR) -B$(CMAKE_BINARY_DIR) +.PHONY : edit_cache + +# Special rule for the target edit_cache +edit_cache/fast: edit_cache +.PHONY : edit_cache/fast + +# Special rule for the target rebuild_cache +rebuild_cache: + @$(CMAKE_COMMAND) -E cmake_echo_color "--switch=$(COLOR)" --cyan "Running CMake to regenerate build system..." + /home/linuxbrew/.linuxbrew/Cellar/cmake/3.27.5/bin/cmake --regenerate-during-build -S$(CMAKE_SOURCE_DIR) -B$(CMAKE_BINARY_DIR) +.PHONY : rebuild_cache + +# Special rule for the target rebuild_cache +rebuild_cache/fast: rebuild_cache +.PHONY : rebuild_cache/fast + +# The main all target +all: cmake_check_build_system + $(CMAKE_COMMAND) -E cmake_progress_start /workspace/xonotic/CMakeFiles /workspace/xonotic//CMakeFiles/progress.marks + $(MAKE) $(MAKESILENT) -f CMakeFiles/Makefile2 all + $(CMAKE_COMMAND) -E cmake_progress_start /workspace/xonotic/CMakeFiles 0 +.PHONY : all + +# The main clean target +clean: + $(MAKE) $(MAKESILENT) -f CMakeFiles/Makefile2 clean +.PHONY : clean + +# The main clean target +clean/fast: clean +.PHONY : clean/fast + +# Prepare targets for installation. +preinstall: all + $(MAKE) $(MAKESILENT) -f CMakeFiles/Makefile2 preinstall +.PHONY : preinstall + +# Prepare targets for installation. +preinstall/fast: + $(MAKE) $(MAKESILENT) -f CMakeFiles/Makefile2 preinstall +.PHONY : preinstall/fast + +# clear depends +depend: + $(CMAKE_COMMAND) -S$(CMAKE_SOURCE_DIR) -B$(CMAKE_BINARY_DIR) --check-build-system CMakeFiles/Makefile.cmake 1 +.PHONY : depend + +#============================================================================= +# Target rules for targets named update-maps + +# Build rule for target. +update-maps: cmake_check_build_system + $(MAKE) $(MAKESILENT) -f CMakeFiles/Makefile2 update-maps +.PHONY : update-maps + +# fast build rule for target. +update-maps/fast: + $(MAKE) $(MAKESILENT) -f CMakeFiles/update-maps.dir/build.make CMakeFiles/update-maps.dir/build +.PHONY : update-maps/fast + +# Help Target help: - @echo - @printf " \e[1;33m===== Xonotic Makefile for stable and beta releases =====\e[m\n" - @echo - @printf "The DarkPlaces Engine builds will be named \e[1m$(CLIENT) \e[mand \e[1m$(SERVER)\e[m\n" - @printf "and will be preferred by \e[1mxonotic-linux-sdl.sh \e[mand \e[1mxonotic-linux-dedicated.sh \e[mscripts.\n" - @echo - @printf "More info is available at \e[1;36mhttps://gitlab.com/xonotic/xonotic/-/wikis/Compiling\e[m\n" - @echo - @echo "-O3 is already enabled for DarkPlaces Engine. Do not add any math flags!" - @echo - @echo "MAKEFLAGS=$(MAKEFLAGS)" - @echo "CFLAGS= $(CFLAGS)" - @echo - @echo " make clean-sources Delete build objects" - @echo " make clean Delete engine builds and build objects" - @echo - @echo " make update-stable Update to the latest stable release via rsync" - @echo " make update-beta Update to the latest daily autobuild via rsync" - @echo - @printf " make server Compile \e[1m$(SERVER)\e[m\n" - @printf " make client Compile \e[1m$(CLIENT)\e[m\n" - @echo " make both" - @echo - -GIT := $(shell [ -d .git ] && printf "\e[1;31mThis Makefile only supports stable releases and autobuilds, whereas you are using a git repository. 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index 00000000..4c8708e3 --- /dev/null +++ b/misc/builddeps/emscripten/d0_blind_id/include/d0_blind_id/d0.h @@ -0,0 +1,66 @@ +/* + * FILE: d0.h + * AUTHOR: Rudolf Polzer - divVerent@xonotic.org + * + * Copyright (c) 2010, Rudolf Polzer + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * 3. Neither the name of the copyright holder nor the names of contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTOR(S) ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTOR(S) BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * $Format:commit %H$ + * $Id: 6c55afeb50f24bd316079ae46582e65f8020b19b $ + */ + +#ifndef __D0_H__ +#define __D0_H__ + +#include // size_t + +#define D0_EXPORT __attribute__((__visibility__("default"))) +#define D0_USED __attribute__((used)) +#define D0_WARN_UNUSED_RESULT __attribute__((warn_unused_result)) +#define D0_BOOL int + +typedef void *(d0_malloc_t)(size_t len); +typedef void (d0_free_t)(void *p); +typedef void *(d0_createmutex_t)(void); +typedef void (d0_destroymutex_t)(void *); +typedef int (d0_lockmutex_t)(void *); // zero on success +typedef int (d0_unlockmutex_t)(void *); // zero on success + +extern d0_malloc_t *d0_malloc; +extern d0_free_t *d0_free; +extern d0_createmutex_t *d0_createmutex; +extern d0_destroymutex_t *d0_destroymutex; +extern d0_lockmutex_t *d0_lockmutex; +extern d0_unlockmutex_t *d0_unlockmutex; + +void d0_setmallocfuncs(d0_malloc_t *m, d0_free_t *f); +void d0_setmutexfuncs(d0_createmutex_t *c, d0_destroymutex_t *d, d0_lockmutex_t *l, d0_unlockmutex_t *u); +void d0_initfuncs(void); // initializes them, this needs to be only called internally once + +extern const char *d0_bsd_license_notice; + +#endif diff --git a/misc/builddeps/emscripten/d0_blind_id/include/d0_blind_id/d0_blind_id.h b/misc/builddeps/emscripten/d0_blind_id/include/d0_blind_id/d0_blind_id.h new file mode 100644 index 00000000..f546b679 --- /dev/null +++ b/misc/builddeps/emscripten/d0_blind_id/include/d0_blind_id/d0_blind_id.h @@ -0,0 +1,91 @@ +/* + * FILE: d0_blind_id.h + * AUTHOR: Rudolf Polzer - divVerent@xonotic.org + * + * Copyright (c) 2010, Rudolf Polzer + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * 3. Neither the name of the copyright holder nor the names of contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTOR(S) ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTOR(S) BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * $Format:commit %H$ + * $Id: bf838f43093aceadcd2d20071684f1e7148a4332 $ + */ + +#ifndef __D0_BLIND_ID_H__ +#define __D0_BLIND_ID_H__ + +#include "d0.h" + +typedef struct d0_blind_id_s d0_blind_id_t; +typedef D0_BOOL (*d0_fastreject_function) (const d0_blind_id_t *ctx, void *pass); + +D0_EXPORT D0_WARN_UNUSED_RESULT d0_blind_id_t *d0_blind_id_new(void); +D0_EXPORT void d0_blind_id_free(d0_blind_id_t *a); +D0_EXPORT void d0_blind_id_clear(d0_blind_id_t *ctx); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_copy(d0_blind_id_t *ctx, const d0_blind_id_t *src); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_key(d0_blind_id_t *ctx, int k); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_key_fastreject(d0_blind_id_t *ctx, int k, d0_fastreject_function reject, void *pass); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_private_key(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_public_key(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_private_key(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_public_key(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_fingerprint64_public_key(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_id_modulus(d0_blind_id_t *ctx); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_private_id_modulus(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_private_id_modulus(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_id_start(d0_blind_id_t *ctx); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_generate_private_id_request(d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_answer_private_id_request(const d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_finish_private_id_request(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_private_id_request_camouflage(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_private_id_request_camouflage(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_private_id(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_read_public_id(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_private_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_write_public_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_start(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL send_modulus, const char *message, size_t msglen, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_challenge(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL recv_modulus, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen, D0_BOOL *status); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_response(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_verify(d0_blind_id_t *ctx, const char *inbuf, size_t inbuflen, char *msg, size_t *msglen, D0_BOOL *status); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_authenticate_with_private_id_generate_missing_signature(d0_blind_id_t *ctx); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_sign(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL send_modulus, const char *message, size_t msglen, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_sign_detached(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL send_modulus, const char *message, size_t msglen, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_verify(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL recv_modulus, const char *inbuf, size_t inbuflen, char *msg, size_t *msglen, D0_BOOL *status); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sign_with_private_id_verify_detached(d0_blind_id_t *ctx, D0_BOOL is_first, D0_BOOL recv_modulus, const char *inbuf, size_t inbuflen, const char *msg, size_t msglen, D0_BOOL *status); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_fingerprint64_public_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_verify_public_id(const d0_blind_id_t *ctx, D0_BOOL *status); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_verify_private_id(const d0_blind_id_t *ctx); +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_sessionkey_public_id(const d0_blind_id_t *ctx, char *outbuf, size_t *outbuflen); // can only be done after successful key exchange, this performs a modpow; key length is limited by SHA_DIGESTSIZE for now; also ONLY valid after successful d0_blind_id_authenticate_with_private_id_verify/d0_blind_id_fingerprint64_public_id + +D0_EXPORT D0_WARN_UNUSED_RESULT D0_BOOL d0_blind_id_INITIALIZE(void); +D0_EXPORT void d0_blind_id_SHUTDOWN(void); + +D0_EXPORT void d0_blind_id_util_sha256(char *out, const char *in, size_t n); + +// for exporting +D0_EXPORT void d0_blind_id_setmallocfuncs(d0_malloc_t *m, d0_free_t *f); +D0_EXPORT void d0_blind_id_setmutexfuncs(d0_createmutex_t *c, d0_destroymutex_t *d, d0_lockmutex_t *l, d0_unlockmutex_t *u); + +#endif diff --git a/misc/builddeps/emscripten/d0_blind_id/include/d0_blind_id/d0_rijndael.h b/misc/builddeps/emscripten/d0_blind_id/include/d0_blind_id/d0_rijndael.h new file mode 100644 index 00000000..e1c8f71b --- /dev/null +++ b/misc/builddeps/emscripten/d0_blind_id/include/d0_blind_id/d0_rijndael.h @@ -0,0 +1,21 @@ +// from http://www.efgh.com/software/rijndael.htm (public domain) + +#ifndef H__RIJNDAEL +#define H__RIJNDAEL + +#include "d0.h" + +D0_EXPORT int d0_rijndael_setup_encrypt(unsigned long *rk, const unsigned char *key, + int keybits); +D0_EXPORT int d0_rijndael_setup_decrypt(unsigned long *rk, const unsigned char *key, + int keybits); +D0_EXPORT void d0_rijndael_encrypt(const unsigned long *rk, int nrounds, + const unsigned char plaintext[16], unsigned char ciphertext[16]); +D0_EXPORT void d0_rijndael_decrypt(const unsigned long *rk, int nrounds, + const unsigned char ciphertext[16], unsigned char plaintext[16]); + +#define D0_RIJNDAEL_KEYLENGTH(keybits) ((keybits)/8) +#define D0_RIJNDAEL_RKLENGTH(keybits) ((keybits)/8+28) +#define D0_RIJNDAEL_NROUNDS(keybits) ((keybits)/32+6) + +#endif diff --git a/misc/builddeps/emscripten/d0_blind_id/lib/libd0_blind_id.a 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00000000..234213e2 --- /dev/null +++ b/misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.la @@ -0,0 +1,41 @@ +# libd0_rijndael.la - a libtool library file +# Generated by libtool (GNU libtool) 2.4.6 Debian-2.4.6-15build2 +# +# Please DO NOT delete this file! +# It is necessary for linking the library. + +# The name that we can dlopen(3). +dlname='libd0_rijndael.so.0' + +# Names of this library. +library_names='libd0_rijndael.so.0.0.0 libd0_rijndael.so.0 libd0_rijndael.so' + +# The name of the static archive. +old_library='libd0_rijndael.a' + +# Linker flags that cannot go in dependency_libs. +inherited_linker_flags='' + +# Libraries that this one depends upon. +dependency_libs='' + +# Names of additional weak libraries provided by this library +weak_library_names='' + +# Version information for libd0_rijndael. +current=0 +age=0 +revision=0 + +# Is this an already installed library? +installed=yes + +# Should we warn about portability when linking against -modules? +shouldnotlink=no + +# Files to dlopen/dlpreopen +dlopen='' +dlpreopen='' + +# Directory that this library needs to be installed in: +libdir='/usr/local/lib' diff --git a/misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.so b/misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.so new file mode 120000 index 00000000..01dce017 --- /dev/null +++ b/misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.so @@ -0,0 +1 @@ +libd0_rijndael.so.0.0.0 \ No newline at end of file diff --git a/misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.so.0 b/misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.so.0 new file mode 120000 index 00000000..01dce017 --- /dev/null +++ b/misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.so.0 @@ -0,0 +1 @@ +libd0_rijndael.so.0.0.0 \ No newline at end of file diff --git a/misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.so.0.0.0 b/misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.so.0.0.0 new file mode 100755 index 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--- /dev/null +++ b/misc/builddeps/emscripten/d0_blind_id/lib/pkgconfig/d0_rijndael.pc @@ -0,0 +1,11 @@ +prefix=/usr/local +exec_prefix=${prefix} +libdir=${exec_prefix}/lib +includedir=${prefix}/include + +Name: Rijndael +Description: Library for Rijndael encryption +Requires: +Version: 0.5 +Libs: -L${libdir} -ld0_rijndael +Cflags: -I${includedir}/d0_blind_id diff --git a/misc/builddeps/emscripten/gmp/include/gmp.h b/misc/builddeps/emscripten/gmp/include/gmp.h new file mode 100644 index 00000000..419f6cb7 --- /dev/null +++ b/misc/builddeps/emscripten/gmp/include/gmp.h @@ -0,0 +1,2344 @@ +/* Definitions for GNU multiple precision functions. -*- mode: c -*- + +Copyright 1991, 1993-1997, 1999-2016, 2020, 2021 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/. */ + +#ifndef __GMP_H__ + +#if defined (__cplusplus) +#include /* for std::istream, std::ostream, std::string */ +#include +#endif + + +/* Instantiated by configure. */ +#if ! defined (__GMP_WITHIN_CONFIGURE) +#define __GMP_HAVE_HOST_CPU_FAMILY_power 0 +#define __GMP_HAVE_HOST_CPU_FAMILY_powerpc 0 +#define GMP_LIMB_BITS 32 +#define GMP_NAIL_BITS 0 +#endif +#define GMP_NUMB_BITS (GMP_LIMB_BITS - GMP_NAIL_BITS) +#define GMP_NUMB_MASK ((~ __GMP_CAST (mp_limb_t, 0)) >> GMP_NAIL_BITS) +#define GMP_NUMB_MAX GMP_NUMB_MASK +#define GMP_NAIL_MASK (~ GMP_NUMB_MASK) + + +#ifndef __GNU_MP__ +#define __GNU_MP__ 6 + +#include /* for size_t */ +#include + +/* Instantiated by configure. */ +#if ! defined (__GMP_WITHIN_CONFIGURE) +/* #undef _LONG_LONG_LIMB */ +#define __GMP_LIBGMP_DLL 0 +#endif + + +/* __GMP_DECLSPEC supports Windows DLL versions of libgmp, and is empty in + all other circumstances. + + When compiling objects for libgmp, __GMP_DECLSPEC is an export directive, + or when compiling for an application it's an import directive. The two + cases are differentiated by __GMP_WITHIN_GMP defined by the GMP Makefiles + (and not defined from an application). + + __GMP_DECLSPEC_XX is similarly used for libgmpxx. __GMP_WITHIN_GMPXX + indicates when building libgmpxx, and in that case libgmpxx functions are + exports, but libgmp functions which might get called are imports. + + Libtool DLL_EXPORT define is not used. + + There's no attempt to support GMP built both static and DLL. Doing so + would mean applications would have to tell us which of the two is going + to be used when linking, and that seems very tedious and error prone if + using GMP by hand, and equally tedious from a package since autoconf and + automake don't give much help. + + __GMP_DECLSPEC is required on all documented global functions and + variables, the various internals in gmp-impl.h etc can be left unadorned. + But internals used by the test programs or speed measuring programs + should have __GMP_DECLSPEC, and certainly constants or variables must + have it or the wrong address will be resolved. + + In gcc __declspec can go at either the start or end of a prototype. + + In Microsoft C __declspec must go at the start, or after the type like + void __declspec(...) *foo()". There's no __dllexport or anything to + guard against someone foolish #defining dllexport. _export used to be + available, but no longer. + + In Borland C _export still exists, but needs to go after the type, like + "void _export foo();". Would have to change the __GMP_DECLSPEC syntax to + make use of that. Probably more trouble than it's worth. */ + +#if defined (__GNUC__) +#define __GMP_DECLSPEC_EXPORT __declspec(__dllexport__) +#define __GMP_DECLSPEC_IMPORT __declspec(__dllimport__) +#endif +#if defined (_MSC_VER) || defined (__BORLANDC__) +#define __GMP_DECLSPEC_EXPORT __declspec(dllexport) +#define __GMP_DECLSPEC_IMPORT __declspec(dllimport) +#endif +#ifdef __WATCOMC__ +#define __GMP_DECLSPEC_EXPORT __export +#define __GMP_DECLSPEC_IMPORT __import +#endif +#ifdef __IBMC__ +#define __GMP_DECLSPEC_EXPORT _Export +#define __GMP_DECLSPEC_IMPORT _Import +#endif + +#if __GMP_LIBGMP_DLL +#ifdef __GMP_WITHIN_GMP +/* compiling to go into a DLL libgmp */ +#define __GMP_DECLSPEC __GMP_DECLSPEC_EXPORT +#else +/* compiling to go into an application which will link to a DLL libgmp */ +#define __GMP_DECLSPEC __GMP_DECLSPEC_IMPORT +#endif +#else +/* all other cases */ +#define __GMP_DECLSPEC +#endif + + +#ifdef __GMP_SHORT_LIMB +typedef unsigned int mp_limb_t; +typedef int mp_limb_signed_t; +#else +#ifdef _LONG_LONG_LIMB +typedef unsigned long long int mp_limb_t; +typedef long long int mp_limb_signed_t; +#else +typedef unsigned long int mp_limb_t; +typedef long int mp_limb_signed_t; +#endif +#endif +typedef unsigned long int mp_bitcnt_t; + +/* For reference, note that the name __mpz_struct gets into C++ mangled + function names, which means although the "__" suggests an internal, we + must leave this name for binary compatibility. */ +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; + +#endif /* __GNU_MP__ */ + + +typedef __mpz_struct MP_INT; /* gmp 1 source compatibility */ +typedef __mpz_struct mpz_t[1]; + +typedef mp_limb_t * mp_ptr; +typedef const mp_limb_t * mp_srcptr; +#if defined (_CRAY) && ! defined (_CRAYMPP) +/* plain `int' is much faster (48 bits) */ +#define __GMP_MP_SIZE_T_INT 1 +typedef int mp_size_t; +typedef int mp_exp_t; +#else +#define __GMP_MP_SIZE_T_INT 0 +typedef long int mp_size_t; +typedef long int mp_exp_t; +#endif + +typedef struct +{ + __mpz_struct _mp_num; + __mpz_struct _mp_den; +} __mpq_struct; + +typedef __mpq_struct MP_RAT; /* gmp 1 source compatibility */ +typedef __mpq_struct mpq_t[1]; + +typedef struct +{ + int _mp_prec; /* Max precision, in number of `mp_limb_t's. + Set by mpf_init and modified by + mpf_set_prec. The area pointed to by the + _mp_d field contains `prec' + 1 limbs. */ + 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_exp_t _mp_exp; /* Exponent, in the base of `mp_limb_t'. */ + mp_limb_t *_mp_d; /* Pointer to the limbs. */ +} __mpf_struct; + +/* typedef __mpf_struct MP_FLOAT; */ +typedef __mpf_struct mpf_t[1]; + +/* Available random number generation algorithms. */ +typedef enum +{ + GMP_RAND_ALG_DEFAULT = 0, + GMP_RAND_ALG_LC = GMP_RAND_ALG_DEFAULT /* Linear congruential. */ +} gmp_randalg_t; + +/* Random state struct. */ +typedef struct +{ + mpz_t _mp_seed; /* _mp_d member points to state of the generator. */ + gmp_randalg_t _mp_alg; /* Currently unused. */ + union { + void *_mp_lc; /* Pointer to function pointers structure. */ + } _mp_algdata; +} __gmp_randstate_struct; +typedef __gmp_randstate_struct gmp_randstate_t[1]; + +/* Types for function declarations in gmp files. */ +/* ??? Should not pollute user name space with these ??? */ +typedef const __mpz_struct *mpz_srcptr; +typedef __mpz_struct *mpz_ptr; +typedef const __mpf_struct *mpf_srcptr; +typedef __mpf_struct *mpf_ptr; +typedef const __mpq_struct *mpq_srcptr; +typedef __mpq_struct *mpq_ptr; +typedef __gmp_randstate_struct *gmp_randstate_ptr; +typedef const __gmp_randstate_struct *gmp_randstate_srcptr; + + +#if __GMP_LIBGMP_DLL +#ifdef __GMP_WITHIN_GMPXX +/* compiling to go into a DLL libgmpxx */ +#define __GMP_DECLSPEC_XX __GMP_DECLSPEC_EXPORT +#else +/* compiling to go into a application which will link to a DLL libgmpxx */ +#define __GMP_DECLSPEC_XX __GMP_DECLSPEC_IMPORT +#endif +#else +/* all other cases */ +#define __GMP_DECLSPEC_XX +#endif + + +#ifndef __MPN +#define __MPN(x) __gmpn_##x +#endif + +/* For reference, "defined(EOF)" cannot be used here. In g++ 2.95.4, + 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 */ \ + || defined (_STDIO) /* HPE NonStop */ \ + || defined (__DEFINED_FILE) /* musl */ +#define _GMP_H_HAVE_FILE 1 +#endif + +/* In ISO C, if a prototype involving "struct obstack *" is given without + that structure defined, then the struct is scoped down to just the + prototype, causing a conflict if it's subsequently defined for real. So + only give prototypes if we've got obstack.h. */ +#if defined (_OBSTACK_H) /* glibc */ +#define _GMP_H_HAVE_OBSTACK 1 +#endif + +/* The prototypes for gmp_vprintf etc are provided only if va_list is defined, + via an application having included . Usually va_list is a typedef + so can't be tested directly, but C99 specifies that va_start is a macro. + + will define some sort of va_list for vprintf and vfprintf, but + let's not bother trying to use that since it's not standard and since + application uses for gmp_vprintf etc will almost certainly require the + whole anyway. */ + +#ifdef va_start +#define _GMP_H_HAVE_VA_LIST 1 +#endif + +/* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */ +#if defined (__GNUC__) && defined (__GNUC_MINOR__) +#define __GMP_GNUC_PREREQ(maj, min) \ + ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min)) +#else +#define __GMP_GNUC_PREREQ(maj, min) 0 +#endif + +/* "pure" is in gcc 2.96 and up, see "(gcc)Function Attributes". Basically + it means a function does nothing but examine its arguments and memory + (global or via arguments) to generate a return value, but changes nothing + and has no side-effects. __GMP_NO_ATTRIBUTE_CONST_PURE lets + tune/common.c etc turn this off when trying to write timing loops. */ +#if __GMP_GNUC_PREREQ (2,96) && ! defined (__GMP_NO_ATTRIBUTE_CONST_PURE) +#define __GMP_ATTRIBUTE_PURE __attribute__ ((__pure__)) +#else +#define __GMP_ATTRIBUTE_PURE +#endif + + +/* __GMP_CAST allows us to use static_cast in C++, so our macros are clean + to "g++ -Wold-style-cast". + + Casts in "extern inline" code within an extern "C" block don't induce + these warnings, so __GMP_CAST only needs to be used on documented + macros. */ + +#ifdef __cplusplus +#define __GMP_CAST(type, expr) (static_cast (expr)) +#else +#define __GMP_CAST(type, expr) ((type) (expr)) +#endif + + +/* An empty "throw ()" means the function doesn't throw any C++ exceptions, + this can save some stack frame info in applications. + + Currently it's given only on functions which never divide-by-zero etc, + don't allocate memory, and are expected to never need to allocate memory. + This leaves open the possibility of a C++ throw from a future GMP + exceptions scheme. + + mpz_set_ui etc are omitted to leave open the lazy allocation scheme + described in doc/tasks.html. mpz_get_d etc are omitted to leave open + exceptions for float overflows. + + Note that __GMP_NOTHROW must be given on any inlines the same as on their + prototypes (for g++ at least, where they're used together). Note also + that g++ 3.0 demands that __GMP_NOTHROW is before other attributes like + __GMP_ATTRIBUTE_PURE. */ + +#if defined (__cplusplus) +#if __cplusplus >= 201103L +#define __GMP_NOTHROW noexcept +#else +#define __GMP_NOTHROW throw () +#endif +#else +#define __GMP_NOTHROW +#endif + + +/* PORTME: What other compilers have a useful "extern inline"? "static + inline" would be an acceptable substitute if the compiler (or linker) + discards unused statics. */ + + /* gcc has __inline__ in all modes, including strict ansi. Give a prototype + for an inline too, so as to correctly specify "dllimport" on windows, in + case the function is called rather than inlined. + GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99 + inline semantics, unless -fgnu89-inline is used. */ +#ifdef __GNUC__ +#if (defined __GNUC_STDC_INLINE__) || (__GNUC__ == 4 && __GNUC_MINOR__ == 2) \ + || (defined __GNUC_GNU_INLINE__ && defined __cplusplus) +#define __GMP_EXTERN_INLINE extern __inline__ __attribute__ ((__gnu_inline__)) +#else +#define __GMP_EXTERN_INLINE extern __inline__ +#endif +#define __GMP_INLINE_PROTOTYPES 1 +#endif + +/* DEC C (eg. version 5.9) supports "static __inline foo()", even in -std1 + strict ANSI mode. Inlining is done even when not optimizing (ie. -O0 + mode, which is the default), but an unnecessary local copy of foo is + emitted unless -O is used. "extern __inline" is accepted, but the + "extern" appears to be ignored, ie. it becomes a plain global function + but which is inlined within its file. Don't know if all old versions of + DEC C supported __inline, but as a start let's do the right thing for + current versions. */ +#ifdef __DECC +#define __GMP_EXTERN_INLINE static __inline +#endif + +/* SCO OpenUNIX 8 cc supports "static inline foo()" but not in -Xc strict + ANSI mode (__STDC__ is 1 in that mode). Inlining only actually takes + place under -O. Without -O "foo" seems to be emitted whether it's used + or not, which is wasteful. "extern inline foo()" isn't useful, the + "extern" is apparently ignored, so foo is inlined if possible but also + emitted as a global, which causes multiple definition errors when + building a shared libgmp. */ +#ifdef __SCO_VERSION__ +#if __SCO_VERSION__ > 400000000 && __STDC__ != 1 \ + && ! defined (__GMP_EXTERN_INLINE) +#define __GMP_EXTERN_INLINE static inline +#endif +#endif + +/* Microsoft's C compiler accepts __inline */ +#ifdef _MSC_VER +#define __GMP_EXTERN_INLINE __inline +#endif + +/* Recent enough Sun C compilers want "inline" */ +#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x560 \ + && ! defined (__GMP_EXTERN_INLINE) +#define __GMP_EXTERN_INLINE inline +#endif + +/* Somewhat older Sun C compilers want "static inline" */ +#if defined (__SUNPRO_C) && __SUNPRO_C >= 0x540 \ + && ! defined (__GMP_EXTERN_INLINE) +#define __GMP_EXTERN_INLINE static inline +#endif + + +/* C++ always has "inline" and since it's a normal feature the linker should + discard duplicate non-inlined copies, or if it doesn't then that's a + problem for everyone, not just GMP. */ +#if defined (__cplusplus) && ! defined (__GMP_EXTERN_INLINE) +#define __GMP_EXTERN_INLINE inline +#endif + +/* Don't do any inlining within a configure run, since if the compiler ends + up emitting copies of the code into the object file it can end up + demanding the various support routines (like mpn_popcount) for linking, + making the "alloca" test and perhaps others fail. And on hppa ia64 a + pre-release gcc 3.2 was seen not respecting the "extern" in "extern + __inline__", triggering this problem too. */ +#if defined (__GMP_WITHIN_CONFIGURE) && ! __GMP_WITHIN_CONFIGURE_INLINE +#undef __GMP_EXTERN_INLINE +#endif + +/* By default, don't give a prototype when there's going to be an inline + version. Note in particular that Cray C++ objects to the combination of + prototype and inline. */ +#ifdef __GMP_EXTERN_INLINE +#ifndef __GMP_INLINE_PROTOTYPES +#define __GMP_INLINE_PROTOTYPES 0 +#endif +#else +#define __GMP_INLINE_PROTOTYPES 1 +#endif + + +#define __GMP_ABS(x) ((x) >= 0 ? (x) : -(x)) +#define __GMP_MAX(h,i) ((h) > (i) ? (h) : (i)) + + +/* __builtin_expect is in gcc 3.0, and not in 2.95. */ +#if __GMP_GNUC_PREREQ (3,0) +#define __GMP_LIKELY(cond) __builtin_expect ((cond) != 0, 1) +#define __GMP_UNLIKELY(cond) __builtin_expect ((cond) != 0, 0) +#else +#define __GMP_LIKELY(cond) (cond) +#define __GMP_UNLIKELY(cond) (cond) +#endif + +#ifdef _CRAY +#define __GMP_CRAY_Pragma(str) _Pragma (str) +#else +#define __GMP_CRAY_Pragma(str) +#endif + + +/* Allow direct user access to numerator and denominator of an mpq_t object. */ +#define mpq_numref(Q) (&((Q)->_mp_num)) +#define mpq_denref(Q) (&((Q)->_mp_den)) + + +#if defined (__cplusplus) +extern "C" { +using std::FILE; +#endif + +#define mp_set_memory_functions __gmp_set_memory_functions +__GMP_DECLSPEC void mp_set_memory_functions (void *(*) (size_t), + void *(*) (void *, size_t, size_t), + void (*) (void *, size_t)) __GMP_NOTHROW; + +#define mp_get_memory_functions __gmp_get_memory_functions +__GMP_DECLSPEC void mp_get_memory_functions (void *(**) (size_t), + void *(**) (void *, size_t, size_t), + void (**) (void *, size_t)) __GMP_NOTHROW; + +#define mp_bits_per_limb __gmp_bits_per_limb +__GMP_DECLSPEC extern const int mp_bits_per_limb; + +#define gmp_errno __gmp_errno +__GMP_DECLSPEC extern int gmp_errno; + +#define gmp_version __gmp_version +__GMP_DECLSPEC extern const char * const gmp_version; + + +/**************** Random number routines. ****************/ + +/* obsolete */ +#define gmp_randinit __gmp_randinit +__GMP_DECLSPEC void gmp_randinit (gmp_randstate_ptr, gmp_randalg_t, ...); + +#define gmp_randinit_default __gmp_randinit_default +__GMP_DECLSPEC void gmp_randinit_default (gmp_randstate_ptr); + +#define gmp_randinit_lc_2exp __gmp_randinit_lc_2exp +__GMP_DECLSPEC void gmp_randinit_lc_2exp (gmp_randstate_ptr, mpz_srcptr, unsigned long int, mp_bitcnt_t); + +#define gmp_randinit_lc_2exp_size __gmp_randinit_lc_2exp_size +__GMP_DECLSPEC int gmp_randinit_lc_2exp_size (gmp_randstate_ptr, mp_bitcnt_t); + +#define gmp_randinit_mt __gmp_randinit_mt +__GMP_DECLSPEC void gmp_randinit_mt (gmp_randstate_ptr); + +#define gmp_randinit_set __gmp_randinit_set +__GMP_DECLSPEC void gmp_randinit_set (gmp_randstate_ptr, gmp_randstate_srcptr); + +#define gmp_randseed __gmp_randseed +__GMP_DECLSPEC void gmp_randseed (gmp_randstate_ptr, mpz_srcptr); + +#define gmp_randseed_ui __gmp_randseed_ui +__GMP_DECLSPEC void gmp_randseed_ui (gmp_randstate_ptr, unsigned long int); + +#define gmp_randclear __gmp_randclear +__GMP_DECLSPEC void gmp_randclear (gmp_randstate_ptr); + +#define gmp_urandomb_ui __gmp_urandomb_ui +__GMP_DECLSPEC unsigned long gmp_urandomb_ui (gmp_randstate_ptr, unsigned long); + +#define gmp_urandomm_ui __gmp_urandomm_ui +__GMP_DECLSPEC unsigned long gmp_urandomm_ui (gmp_randstate_ptr, unsigned long); + + +/**************** Formatted output routines. ****************/ + +#define gmp_asprintf __gmp_asprintf +__GMP_DECLSPEC int gmp_asprintf (char **, const char *, ...); + +#define gmp_fprintf __gmp_fprintf +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC int gmp_fprintf (FILE *, const char *, ...); +#endif + +#define gmp_obstack_printf __gmp_obstack_printf +#if defined (_GMP_H_HAVE_OBSTACK) +__GMP_DECLSPEC int gmp_obstack_printf (struct obstack *, const char *, ...); +#endif + +#define gmp_obstack_vprintf __gmp_obstack_vprintf +#if defined (_GMP_H_HAVE_OBSTACK) && defined (_GMP_H_HAVE_VA_LIST) +__GMP_DECLSPEC int gmp_obstack_vprintf (struct obstack *, const char *, va_list); +#endif + +#define gmp_printf __gmp_printf +__GMP_DECLSPEC int gmp_printf (const char *, ...); + +#define gmp_snprintf __gmp_snprintf +__GMP_DECLSPEC int gmp_snprintf (char *, size_t, const char *, ...); + +#define gmp_sprintf __gmp_sprintf +__GMP_DECLSPEC int gmp_sprintf (char *, const char *, ...); + +#define gmp_vasprintf __gmp_vasprintf +#if defined (_GMP_H_HAVE_VA_LIST) +__GMP_DECLSPEC int gmp_vasprintf (char **, const char *, va_list); +#endif + +#define gmp_vfprintf __gmp_vfprintf +#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST) +__GMP_DECLSPEC int gmp_vfprintf (FILE *, const char *, va_list); +#endif + +#define gmp_vprintf __gmp_vprintf +#if defined (_GMP_H_HAVE_VA_LIST) +__GMP_DECLSPEC int gmp_vprintf (const char *, va_list); +#endif + +#define gmp_vsnprintf __gmp_vsnprintf +#if defined (_GMP_H_HAVE_VA_LIST) +__GMP_DECLSPEC int gmp_vsnprintf (char *, size_t, const char *, va_list); +#endif + +#define gmp_vsprintf __gmp_vsprintf +#if defined (_GMP_H_HAVE_VA_LIST) +__GMP_DECLSPEC int gmp_vsprintf (char *, const char *, va_list); +#endif + + +/**************** Formatted input routines. ****************/ + +#define gmp_fscanf __gmp_fscanf +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC int gmp_fscanf (FILE *, const char *, ...); +#endif + +#define gmp_scanf __gmp_scanf +__GMP_DECLSPEC int gmp_scanf (const char *, ...); + +#define gmp_sscanf __gmp_sscanf +__GMP_DECLSPEC int gmp_sscanf (const char *, const char *, ...); + +#define gmp_vfscanf __gmp_vfscanf +#if defined (_GMP_H_HAVE_FILE) && defined (_GMP_H_HAVE_VA_LIST) +__GMP_DECLSPEC int gmp_vfscanf (FILE *, const char *, va_list); +#endif + +#define gmp_vscanf __gmp_vscanf +#if defined (_GMP_H_HAVE_VA_LIST) +__GMP_DECLSPEC int gmp_vscanf (const char *, va_list); +#endif + +#define gmp_vsscanf __gmp_vsscanf +#if defined (_GMP_H_HAVE_VA_LIST) +__GMP_DECLSPEC int gmp_vsscanf (const char *, const char *, va_list); +#endif + + +/**************** Integer (i.e. Z) routines. ****************/ + +#define _mpz_realloc __gmpz_realloc +#define mpz_realloc __gmpz_realloc +__GMP_DECLSPEC void *_mpz_realloc (mpz_ptr, mp_size_t); + +#define mpz_abs __gmpz_abs +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_abs) +__GMP_DECLSPEC void mpz_abs (mpz_ptr, mpz_srcptr); +#endif + +#define mpz_add __gmpz_add +__GMP_DECLSPEC void mpz_add (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_add_ui __gmpz_add_ui +__GMP_DECLSPEC void mpz_add_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_addmul __gmpz_addmul +__GMP_DECLSPEC void mpz_addmul (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_addmul_ui __gmpz_addmul_ui +__GMP_DECLSPEC void mpz_addmul_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_and __gmpz_and +__GMP_DECLSPEC void mpz_and (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_array_init __gmpz_array_init +__GMP_DECLSPEC void mpz_array_init (mpz_ptr, mp_size_t, mp_size_t); + +#define mpz_bin_ui __gmpz_bin_ui +__GMP_DECLSPEC void mpz_bin_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_bin_uiui __gmpz_bin_uiui +__GMP_DECLSPEC void mpz_bin_uiui (mpz_ptr, unsigned long int, unsigned long int); + +#define mpz_cdiv_q __gmpz_cdiv_q +__GMP_DECLSPEC void mpz_cdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_cdiv_q_2exp __gmpz_cdiv_q_2exp +__GMP_DECLSPEC void mpz_cdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t); + +#define mpz_cdiv_q_ui __gmpz_cdiv_q_ui +__GMP_DECLSPEC unsigned long int mpz_cdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_cdiv_qr __gmpz_cdiv_qr +__GMP_DECLSPEC void mpz_cdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_cdiv_qr_ui __gmpz_cdiv_qr_ui +__GMP_DECLSPEC unsigned long int mpz_cdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_cdiv_r __gmpz_cdiv_r +__GMP_DECLSPEC void mpz_cdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_cdiv_r_2exp __gmpz_cdiv_r_2exp +__GMP_DECLSPEC void mpz_cdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t); + +#define mpz_cdiv_r_ui __gmpz_cdiv_r_ui +__GMP_DECLSPEC unsigned long int mpz_cdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_cdiv_ui __gmpz_cdiv_ui +__GMP_DECLSPEC unsigned long int mpz_cdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE; + +#define mpz_clear __gmpz_clear +__GMP_DECLSPEC void mpz_clear (mpz_ptr); + +#define mpz_clears __gmpz_clears +__GMP_DECLSPEC void mpz_clears (mpz_ptr, ...); + +#define mpz_clrbit __gmpz_clrbit +__GMP_DECLSPEC void mpz_clrbit (mpz_ptr, mp_bitcnt_t); + +#define mpz_cmp __gmpz_cmp +__GMP_DECLSPEC int mpz_cmp (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_cmp_d __gmpz_cmp_d +__GMP_DECLSPEC int mpz_cmp_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE; + +#define _mpz_cmp_si __gmpz_cmp_si +__GMP_DECLSPEC int _mpz_cmp_si (mpz_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define _mpz_cmp_ui __gmpz_cmp_ui +__GMP_DECLSPEC int _mpz_cmp_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_cmpabs __gmpz_cmpabs +__GMP_DECLSPEC int mpz_cmpabs (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_cmpabs_d __gmpz_cmpabs_d +__GMP_DECLSPEC int mpz_cmpabs_d (mpz_srcptr, double) __GMP_ATTRIBUTE_PURE; + +#define mpz_cmpabs_ui __gmpz_cmpabs_ui +__GMP_DECLSPEC int mpz_cmpabs_ui (mpz_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_com __gmpz_com +__GMP_DECLSPEC void mpz_com (mpz_ptr, mpz_srcptr); + +#define mpz_combit __gmpz_combit +__GMP_DECLSPEC void mpz_combit (mpz_ptr, mp_bitcnt_t); + +#define mpz_congruent_p __gmpz_congruent_p +__GMP_DECLSPEC int mpz_congruent_p (mpz_srcptr, mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpz_congruent_2exp_p __gmpz_congruent_2exp_p +__GMP_DECLSPEC int mpz_congruent_2exp_p (mpz_srcptr, mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_congruent_ui_p __gmpz_congruent_ui_p +__GMP_DECLSPEC int mpz_congruent_ui_p (mpz_srcptr, unsigned long, unsigned long) __GMP_ATTRIBUTE_PURE; + +#define mpz_divexact __gmpz_divexact +__GMP_DECLSPEC void mpz_divexact (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_divexact_ui __gmpz_divexact_ui +__GMP_DECLSPEC void mpz_divexact_ui (mpz_ptr, mpz_srcptr, unsigned long); + +#define mpz_divisible_p __gmpz_divisible_p +__GMP_DECLSPEC int mpz_divisible_p (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpz_divisible_ui_p __gmpz_divisible_ui_p +__GMP_DECLSPEC int mpz_divisible_ui_p (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE; + +#define mpz_divisible_2exp_p __gmpz_divisible_2exp_p +__GMP_DECLSPEC int mpz_divisible_2exp_p (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_dump __gmpz_dump +__GMP_DECLSPEC void mpz_dump (mpz_srcptr); + +#define mpz_export __gmpz_export +__GMP_DECLSPEC void *mpz_export (void *, size_t *, int, size_t, int, size_t, mpz_srcptr); + +#define mpz_fac_ui __gmpz_fac_ui +__GMP_DECLSPEC void mpz_fac_ui (mpz_ptr, unsigned long int); + +#define mpz_2fac_ui __gmpz_2fac_ui +__GMP_DECLSPEC void mpz_2fac_ui (mpz_ptr, unsigned long int); + +#define mpz_mfac_uiui __gmpz_mfac_uiui +__GMP_DECLSPEC void mpz_mfac_uiui (mpz_ptr, unsigned long int, unsigned long int); + +#define mpz_primorial_ui __gmpz_primorial_ui +__GMP_DECLSPEC void mpz_primorial_ui (mpz_ptr, unsigned long int); + +#define mpz_fdiv_q __gmpz_fdiv_q +__GMP_DECLSPEC void mpz_fdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_fdiv_q_2exp __gmpz_fdiv_q_2exp +__GMP_DECLSPEC void mpz_fdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t); + +#define mpz_fdiv_q_ui __gmpz_fdiv_q_ui +__GMP_DECLSPEC unsigned long int mpz_fdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_fdiv_qr __gmpz_fdiv_qr +__GMP_DECLSPEC void mpz_fdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_fdiv_qr_ui __gmpz_fdiv_qr_ui +__GMP_DECLSPEC unsigned long int mpz_fdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_fdiv_r __gmpz_fdiv_r +__GMP_DECLSPEC void mpz_fdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_fdiv_r_2exp __gmpz_fdiv_r_2exp +__GMP_DECLSPEC void mpz_fdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t); + +#define mpz_fdiv_r_ui __gmpz_fdiv_r_ui +__GMP_DECLSPEC unsigned long int mpz_fdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_fdiv_ui __gmpz_fdiv_ui +__GMP_DECLSPEC unsigned long int mpz_fdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE; + +#define mpz_fib_ui __gmpz_fib_ui +__GMP_DECLSPEC void mpz_fib_ui (mpz_ptr, unsigned long int); + +#define mpz_fib2_ui __gmpz_fib2_ui +__GMP_DECLSPEC void mpz_fib2_ui (mpz_ptr, mpz_ptr, unsigned long int); + +#define mpz_fits_sint_p __gmpz_fits_sint_p +__GMP_DECLSPEC int mpz_fits_sint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_fits_slong_p __gmpz_fits_slong_p +__GMP_DECLSPEC int mpz_fits_slong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_fits_sshort_p __gmpz_fits_sshort_p +__GMP_DECLSPEC int mpz_fits_sshort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_fits_uint_p __gmpz_fits_uint_p +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_uint_p) +__GMP_DECLSPEC int mpz_fits_uint_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_fits_ulong_p __gmpz_fits_ulong_p +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ulong_p) +__GMP_DECLSPEC int mpz_fits_ulong_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_fits_ushort_p __gmpz_fits_ushort_p +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_fits_ushort_p) +__GMP_DECLSPEC int mpz_fits_ushort_p (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_gcd __gmpz_gcd +__GMP_DECLSPEC void mpz_gcd (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_gcd_ui __gmpz_gcd_ui +__GMP_DECLSPEC unsigned long int mpz_gcd_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_gcdext __gmpz_gcdext +__GMP_DECLSPEC void mpz_gcdext (mpz_ptr, mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_get_d __gmpz_get_d +__GMP_DECLSPEC double mpz_get_d (mpz_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpz_get_d_2exp __gmpz_get_d_2exp +__GMP_DECLSPEC double mpz_get_d_2exp (signed long int *, mpz_srcptr); + +#define mpz_get_si __gmpz_get_si +__GMP_DECLSPEC /* signed */ long int mpz_get_si (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_get_str __gmpz_get_str +__GMP_DECLSPEC char *mpz_get_str (char *, int, mpz_srcptr); + +#define mpz_get_ui __gmpz_get_ui +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_get_ui) +__GMP_DECLSPEC unsigned long int mpz_get_ui (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_getlimbn __gmpz_getlimbn +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_getlimbn) +__GMP_DECLSPEC mp_limb_t mpz_getlimbn (mpz_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_hamdist __gmpz_hamdist +__GMP_DECLSPEC mp_bitcnt_t mpz_hamdist (mpz_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_import __gmpz_import +__GMP_DECLSPEC void mpz_import (mpz_ptr, size_t, int, size_t, int, size_t, const void *); + +#define mpz_init __gmpz_init +__GMP_DECLSPEC void mpz_init (mpz_ptr) __GMP_NOTHROW; + +#define mpz_init2 __gmpz_init2 +__GMP_DECLSPEC void mpz_init2 (mpz_ptr, mp_bitcnt_t); + +#define mpz_inits __gmpz_inits +__GMP_DECLSPEC void mpz_inits (mpz_ptr, ...) __GMP_NOTHROW; + +#define mpz_init_set __gmpz_init_set +__GMP_DECLSPEC void mpz_init_set (mpz_ptr, mpz_srcptr); + +#define mpz_init_set_d __gmpz_init_set_d +__GMP_DECLSPEC void mpz_init_set_d (mpz_ptr, double); + +#define mpz_init_set_si __gmpz_init_set_si +__GMP_DECLSPEC void mpz_init_set_si (mpz_ptr, signed long int); + +#define mpz_init_set_str __gmpz_init_set_str +__GMP_DECLSPEC int mpz_init_set_str (mpz_ptr, const char *, int); + +#define mpz_init_set_ui __gmpz_init_set_ui +__GMP_DECLSPEC void mpz_init_set_ui (mpz_ptr, unsigned long int); + +#define mpz_inp_raw __gmpz_inp_raw +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpz_inp_raw (mpz_ptr, FILE *); +#endif + +#define mpz_inp_str __gmpz_inp_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpz_inp_str (mpz_ptr, FILE *, int); +#endif + +#define mpz_invert __gmpz_invert +__GMP_DECLSPEC int mpz_invert (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_ior __gmpz_ior +__GMP_DECLSPEC void mpz_ior (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_jacobi __gmpz_jacobi +__GMP_DECLSPEC int mpz_jacobi (mpz_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpz_kronecker mpz_jacobi /* alias */ + +#define mpz_kronecker_si __gmpz_kronecker_si +__GMP_DECLSPEC int mpz_kronecker_si (mpz_srcptr, long) __GMP_ATTRIBUTE_PURE; + +#define mpz_kronecker_ui __gmpz_kronecker_ui +__GMP_DECLSPEC int mpz_kronecker_ui (mpz_srcptr, unsigned long) __GMP_ATTRIBUTE_PURE; + +#define mpz_si_kronecker __gmpz_si_kronecker +__GMP_DECLSPEC int mpz_si_kronecker (long, mpz_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpz_ui_kronecker __gmpz_ui_kronecker +__GMP_DECLSPEC int mpz_ui_kronecker (unsigned long, mpz_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpz_lcm __gmpz_lcm +__GMP_DECLSPEC void mpz_lcm (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_lcm_ui __gmpz_lcm_ui +__GMP_DECLSPEC void mpz_lcm_ui (mpz_ptr, mpz_srcptr, unsigned long); + +#define mpz_legendre mpz_jacobi /* alias */ + +#define mpz_lucnum_ui __gmpz_lucnum_ui +__GMP_DECLSPEC void mpz_lucnum_ui (mpz_ptr, unsigned long int); + +#define mpz_lucnum2_ui __gmpz_lucnum2_ui +__GMP_DECLSPEC void mpz_lucnum2_ui (mpz_ptr, mpz_ptr, unsigned long int); + +#define mpz_millerrabin __gmpz_millerrabin +__GMP_DECLSPEC int mpz_millerrabin (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE; + +#define mpz_mod __gmpz_mod +__GMP_DECLSPEC void mpz_mod (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_mod_ui mpz_fdiv_r_ui /* same as fdiv_r because divisor unsigned */ + +#define mpz_mul __gmpz_mul +__GMP_DECLSPEC void mpz_mul (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_mul_2exp __gmpz_mul_2exp +__GMP_DECLSPEC void mpz_mul_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t); + +#define mpz_mul_si __gmpz_mul_si +__GMP_DECLSPEC void mpz_mul_si (mpz_ptr, mpz_srcptr, long int); + +#define mpz_mul_ui __gmpz_mul_ui +__GMP_DECLSPEC void mpz_mul_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_neg __gmpz_neg +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_neg) +__GMP_DECLSPEC void mpz_neg (mpz_ptr, mpz_srcptr); +#endif + +#define mpz_nextprime __gmpz_nextprime +__GMP_DECLSPEC void mpz_nextprime (mpz_ptr, mpz_srcptr); + +#define mpz_prevprime __gmpz_prevprime +__GMP_DECLSPEC int mpz_prevprime (mpz_ptr, mpz_srcptr); + +#define mpz_out_raw __gmpz_out_raw +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpz_out_raw (FILE *, mpz_srcptr); +#endif + +#define mpz_out_str __gmpz_out_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpz_out_str (FILE *, int, mpz_srcptr); +#endif + +#define mpz_perfect_power_p __gmpz_perfect_power_p +__GMP_DECLSPEC int mpz_perfect_power_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpz_perfect_square_p __gmpz_perfect_square_p +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_perfect_square_p) +__GMP_DECLSPEC int mpz_perfect_square_p (mpz_srcptr) __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_popcount __gmpz_popcount +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_popcount) +__GMP_DECLSPEC mp_bitcnt_t mpz_popcount (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_pow_ui __gmpz_pow_ui +__GMP_DECLSPEC void mpz_pow_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_powm __gmpz_powm +__GMP_DECLSPEC void mpz_powm (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr); + +#define mpz_powm_sec __gmpz_powm_sec +__GMP_DECLSPEC void mpz_powm_sec (mpz_ptr, mpz_srcptr, mpz_srcptr, mpz_srcptr); + +#define mpz_powm_ui __gmpz_powm_ui +__GMP_DECLSPEC void mpz_powm_ui (mpz_ptr, mpz_srcptr, unsigned long int, mpz_srcptr); + +#define mpz_probab_prime_p __gmpz_probab_prime_p +__GMP_DECLSPEC int mpz_probab_prime_p (mpz_srcptr, int) __GMP_ATTRIBUTE_PURE; + +#define mpz_random __gmpz_random +__GMP_DECLSPEC void mpz_random (mpz_ptr, mp_size_t); + +#define mpz_random2 __gmpz_random2 +__GMP_DECLSPEC void mpz_random2 (mpz_ptr, mp_size_t); + +#define mpz_realloc2 __gmpz_realloc2 +__GMP_DECLSPEC void mpz_realloc2 (mpz_ptr, mp_bitcnt_t); + +#define mpz_remove __gmpz_remove +__GMP_DECLSPEC mp_bitcnt_t mpz_remove (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_root __gmpz_root +__GMP_DECLSPEC int mpz_root (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_rootrem __gmpz_rootrem +__GMP_DECLSPEC void mpz_rootrem (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_rrandomb __gmpz_rrandomb +__GMP_DECLSPEC void mpz_rrandomb (mpz_ptr, gmp_randstate_ptr, mp_bitcnt_t); + +#define mpz_scan0 __gmpz_scan0 +__GMP_DECLSPEC mp_bitcnt_t mpz_scan0 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_scan1 __gmpz_scan1 +__GMP_DECLSPEC mp_bitcnt_t mpz_scan1 (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_set __gmpz_set +__GMP_DECLSPEC void mpz_set (mpz_ptr, mpz_srcptr); + +#define mpz_set_d __gmpz_set_d +__GMP_DECLSPEC void mpz_set_d (mpz_ptr, double); + +#define mpz_set_f __gmpz_set_f +__GMP_DECLSPEC void mpz_set_f (mpz_ptr, mpf_srcptr); + +#define mpz_set_q __gmpz_set_q +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_set_q) +__GMP_DECLSPEC void mpz_set_q (mpz_ptr, mpq_srcptr); +#endif + +#define mpz_set_si __gmpz_set_si +__GMP_DECLSPEC void mpz_set_si (mpz_ptr, signed long int); + +#define mpz_set_str __gmpz_set_str +__GMP_DECLSPEC int mpz_set_str (mpz_ptr, const char *, int); + +#define mpz_set_ui __gmpz_set_ui +__GMP_DECLSPEC void mpz_set_ui (mpz_ptr, unsigned long int); + +#define mpz_setbit __gmpz_setbit +__GMP_DECLSPEC void mpz_setbit (mpz_ptr, mp_bitcnt_t); + +#define mpz_size __gmpz_size +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpz_size) +__GMP_DECLSPEC size_t mpz_size (mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpz_sizeinbase __gmpz_sizeinbase +__GMP_DECLSPEC size_t mpz_sizeinbase (mpz_srcptr, int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_sqrt __gmpz_sqrt +__GMP_DECLSPEC void mpz_sqrt (mpz_ptr, mpz_srcptr); + +#define mpz_sqrtrem __gmpz_sqrtrem +__GMP_DECLSPEC void mpz_sqrtrem (mpz_ptr, mpz_ptr, mpz_srcptr); + +#define mpz_sub __gmpz_sub +__GMP_DECLSPEC void mpz_sub (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_sub_ui __gmpz_sub_ui +__GMP_DECLSPEC void mpz_sub_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_ui_sub __gmpz_ui_sub +__GMP_DECLSPEC void mpz_ui_sub (mpz_ptr, unsigned long int, mpz_srcptr); + +#define mpz_submul __gmpz_submul +__GMP_DECLSPEC void mpz_submul (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_submul_ui __gmpz_submul_ui +__GMP_DECLSPEC void mpz_submul_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_swap __gmpz_swap +__GMP_DECLSPEC void mpz_swap (mpz_ptr, mpz_ptr) __GMP_NOTHROW; + +#define mpz_tdiv_ui __gmpz_tdiv_ui +__GMP_DECLSPEC unsigned long int mpz_tdiv_ui (mpz_srcptr, unsigned long int) __GMP_ATTRIBUTE_PURE; + +#define mpz_tdiv_q __gmpz_tdiv_q +__GMP_DECLSPEC void mpz_tdiv_q (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_tdiv_q_2exp __gmpz_tdiv_q_2exp +__GMP_DECLSPEC void mpz_tdiv_q_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t); + +#define mpz_tdiv_q_ui __gmpz_tdiv_q_ui +__GMP_DECLSPEC unsigned long int mpz_tdiv_q_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_tdiv_qr __gmpz_tdiv_qr +__GMP_DECLSPEC void mpz_tdiv_qr (mpz_ptr, mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_tdiv_qr_ui __gmpz_tdiv_qr_ui +__GMP_DECLSPEC unsigned long int mpz_tdiv_qr_ui (mpz_ptr, mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_tdiv_r __gmpz_tdiv_r +__GMP_DECLSPEC void mpz_tdiv_r (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_tdiv_r_2exp __gmpz_tdiv_r_2exp +__GMP_DECLSPEC void mpz_tdiv_r_2exp (mpz_ptr, mpz_srcptr, mp_bitcnt_t); + +#define mpz_tdiv_r_ui __gmpz_tdiv_r_ui +__GMP_DECLSPEC unsigned long int mpz_tdiv_r_ui (mpz_ptr, mpz_srcptr, unsigned long int); + +#define mpz_tstbit __gmpz_tstbit +__GMP_DECLSPEC int mpz_tstbit (mpz_srcptr, mp_bitcnt_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpz_ui_pow_ui __gmpz_ui_pow_ui +__GMP_DECLSPEC void mpz_ui_pow_ui (mpz_ptr, unsigned long int, unsigned long int); + +#define mpz_urandomb __gmpz_urandomb +__GMP_DECLSPEC void mpz_urandomb (mpz_ptr, gmp_randstate_ptr, mp_bitcnt_t); + +#define mpz_urandomm __gmpz_urandomm +__GMP_DECLSPEC void mpz_urandomm (mpz_ptr, gmp_randstate_ptr, mpz_srcptr); + +#define mpz_xor __gmpz_xor +#define mpz_eor __gmpz_xor +__GMP_DECLSPEC void mpz_xor (mpz_ptr, mpz_srcptr, mpz_srcptr); + +#define mpz_limbs_read __gmpz_limbs_read +__GMP_DECLSPEC mp_srcptr mpz_limbs_read (mpz_srcptr); + +#define mpz_limbs_write __gmpz_limbs_write +__GMP_DECLSPEC mp_ptr mpz_limbs_write (mpz_ptr, mp_size_t); + +#define mpz_limbs_modify __gmpz_limbs_modify +__GMP_DECLSPEC mp_ptr mpz_limbs_modify (mpz_ptr, mp_size_t); + +#define mpz_limbs_finish __gmpz_limbs_finish +__GMP_DECLSPEC void mpz_limbs_finish (mpz_ptr, mp_size_t); + +#define mpz_roinit_n __gmpz_roinit_n +__GMP_DECLSPEC mpz_srcptr mpz_roinit_n (mpz_ptr, mp_srcptr, mp_size_t); + +#define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }} + +/**************** Rational (i.e. Q) routines. ****************/ + +#define mpq_abs __gmpq_abs +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_abs) +__GMP_DECLSPEC void mpq_abs (mpq_ptr, mpq_srcptr); +#endif + +#define mpq_add __gmpq_add +__GMP_DECLSPEC void mpq_add (mpq_ptr, mpq_srcptr, mpq_srcptr); + +#define mpq_canonicalize __gmpq_canonicalize +__GMP_DECLSPEC void mpq_canonicalize (mpq_ptr); + +#define mpq_clear __gmpq_clear +__GMP_DECLSPEC void mpq_clear (mpq_ptr); + +#define mpq_clears __gmpq_clears +__GMP_DECLSPEC void mpq_clears (mpq_ptr, ...); + +#define mpq_cmp __gmpq_cmp +__GMP_DECLSPEC int mpq_cmp (mpq_srcptr, mpq_srcptr) __GMP_ATTRIBUTE_PURE; + +#define _mpq_cmp_si __gmpq_cmp_si +__GMP_DECLSPEC int _mpq_cmp_si (mpq_srcptr, long, unsigned long) __GMP_ATTRIBUTE_PURE; + +#define _mpq_cmp_ui __gmpq_cmp_ui +__GMP_DECLSPEC int _mpq_cmp_ui (mpq_srcptr, unsigned long int, unsigned long int) __GMP_ATTRIBUTE_PURE; + +#define mpq_cmp_z __gmpq_cmp_z +__GMP_DECLSPEC int mpq_cmp_z (mpq_srcptr, mpz_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpq_div __gmpq_div +__GMP_DECLSPEC void mpq_div (mpq_ptr, mpq_srcptr, mpq_srcptr); + +#define mpq_div_2exp __gmpq_div_2exp +__GMP_DECLSPEC void mpq_div_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t); + +#define mpq_equal __gmpq_equal +__GMP_DECLSPEC int mpq_equal (mpq_srcptr, mpq_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpq_get_num __gmpq_get_num +__GMP_DECLSPEC void mpq_get_num (mpz_ptr, mpq_srcptr); + +#define mpq_get_den __gmpq_get_den +__GMP_DECLSPEC void mpq_get_den (mpz_ptr, mpq_srcptr); + +#define mpq_get_d __gmpq_get_d +__GMP_DECLSPEC double mpq_get_d (mpq_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpq_get_str __gmpq_get_str +__GMP_DECLSPEC char *mpq_get_str (char *, int, mpq_srcptr); + +#define mpq_init __gmpq_init +__GMP_DECLSPEC void mpq_init (mpq_ptr); + +#define mpq_inits __gmpq_inits +__GMP_DECLSPEC void mpq_inits (mpq_ptr, ...); + +#define mpq_inp_str __gmpq_inp_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpq_inp_str (mpq_ptr, FILE *, int); +#endif + +#define mpq_inv __gmpq_inv +__GMP_DECLSPEC void mpq_inv (mpq_ptr, mpq_srcptr); + +#define mpq_mul __gmpq_mul +__GMP_DECLSPEC void mpq_mul (mpq_ptr, mpq_srcptr, mpq_srcptr); + +#define mpq_mul_2exp __gmpq_mul_2exp +__GMP_DECLSPEC void mpq_mul_2exp (mpq_ptr, mpq_srcptr, mp_bitcnt_t); + +#define mpq_neg __gmpq_neg +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpq_neg) +__GMP_DECLSPEC void mpq_neg (mpq_ptr, mpq_srcptr); +#endif + +#define mpq_out_str __gmpq_out_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpq_out_str (FILE *, int, mpq_srcptr); +#endif + +#define mpq_set __gmpq_set +__GMP_DECLSPEC void mpq_set (mpq_ptr, mpq_srcptr); + +#define mpq_set_d __gmpq_set_d +__GMP_DECLSPEC void mpq_set_d (mpq_ptr, double); + +#define mpq_set_den __gmpq_set_den +__GMP_DECLSPEC void mpq_set_den (mpq_ptr, mpz_srcptr); + +#define mpq_set_f __gmpq_set_f +__GMP_DECLSPEC void mpq_set_f (mpq_ptr, mpf_srcptr); + +#define mpq_set_num __gmpq_set_num +__GMP_DECLSPEC void mpq_set_num (mpq_ptr, mpz_srcptr); + +#define mpq_set_si __gmpq_set_si +__GMP_DECLSPEC void mpq_set_si (mpq_ptr, signed long int, unsigned long int); + +#define mpq_set_str __gmpq_set_str +__GMP_DECLSPEC int mpq_set_str (mpq_ptr, const char *, int); + +#define mpq_set_ui __gmpq_set_ui +__GMP_DECLSPEC void mpq_set_ui (mpq_ptr, unsigned long int, unsigned long int); + +#define mpq_set_z __gmpq_set_z +__GMP_DECLSPEC void mpq_set_z (mpq_ptr, mpz_srcptr); + +#define mpq_sub __gmpq_sub +__GMP_DECLSPEC void mpq_sub (mpq_ptr, mpq_srcptr, mpq_srcptr); + +#define mpq_swap __gmpq_swap +__GMP_DECLSPEC void mpq_swap (mpq_ptr, mpq_ptr) __GMP_NOTHROW; + + +/**************** Float (i.e. F) routines. ****************/ + +#define mpf_abs __gmpf_abs +__GMP_DECLSPEC void mpf_abs (mpf_ptr, mpf_srcptr); + +#define mpf_add __gmpf_add +__GMP_DECLSPEC void mpf_add (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_add_ui __gmpf_add_ui +__GMP_DECLSPEC void mpf_add_ui (mpf_ptr, mpf_srcptr, unsigned long int); +#define mpf_ceil __gmpf_ceil +__GMP_DECLSPEC void mpf_ceil (mpf_ptr, mpf_srcptr); + +#define mpf_clear __gmpf_clear +__GMP_DECLSPEC void mpf_clear (mpf_ptr); + +#define mpf_clears __gmpf_clears +__GMP_DECLSPEC void mpf_clears (mpf_ptr, ...); + +#define mpf_cmp __gmpf_cmp +__GMP_DECLSPEC int mpf_cmp (mpf_srcptr, mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_z __gmpf_cmp_z +__GMP_DECLSPEC int mpf_cmp_z (mpf_srcptr, mpz_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_d __gmpf_cmp_d +__GMP_DECLSPEC int mpf_cmp_d (mpf_srcptr, double) __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_si __gmpf_cmp_si +__GMP_DECLSPEC int mpf_cmp_si (mpf_srcptr, signed long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_cmp_ui __gmpf_cmp_ui +__GMP_DECLSPEC int mpf_cmp_ui (mpf_srcptr, unsigned long int) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_div __gmpf_div +__GMP_DECLSPEC void mpf_div (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_div_2exp __gmpf_div_2exp +__GMP_DECLSPEC void mpf_div_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t); + +#define mpf_div_ui __gmpf_div_ui +__GMP_DECLSPEC void mpf_div_ui (mpf_ptr, mpf_srcptr, unsigned long int); + +#define mpf_dump __gmpf_dump +__GMP_DECLSPEC void mpf_dump (mpf_srcptr); + +#define mpf_eq __gmpf_eq +__GMP_DECLSPEC int mpf_eq (mpf_srcptr, mpf_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_sint_p __gmpf_fits_sint_p +__GMP_DECLSPEC int mpf_fits_sint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_slong_p __gmpf_fits_slong_p +__GMP_DECLSPEC int mpf_fits_slong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_sshort_p __gmpf_fits_sshort_p +__GMP_DECLSPEC int mpf_fits_sshort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_uint_p __gmpf_fits_uint_p +__GMP_DECLSPEC int mpf_fits_uint_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_ulong_p __gmpf_fits_ulong_p +__GMP_DECLSPEC int mpf_fits_ulong_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_fits_ushort_p __gmpf_fits_ushort_p +__GMP_DECLSPEC int mpf_fits_ushort_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_floor __gmpf_floor +__GMP_DECLSPEC void mpf_floor (mpf_ptr, mpf_srcptr); + +#define mpf_get_d __gmpf_get_d +__GMP_DECLSPEC double mpf_get_d (mpf_srcptr) __GMP_ATTRIBUTE_PURE; + +#define mpf_get_d_2exp __gmpf_get_d_2exp +__GMP_DECLSPEC double mpf_get_d_2exp (signed long int *, mpf_srcptr); + +#define mpf_get_default_prec __gmpf_get_default_prec +__GMP_DECLSPEC mp_bitcnt_t mpf_get_default_prec (void) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_get_prec __gmpf_get_prec +__GMP_DECLSPEC mp_bitcnt_t mpf_get_prec (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_get_si __gmpf_get_si +__GMP_DECLSPEC long mpf_get_si (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_get_str __gmpf_get_str +__GMP_DECLSPEC char *mpf_get_str (char *, mp_exp_t *, int, size_t, mpf_srcptr); + +#define mpf_get_ui __gmpf_get_ui +__GMP_DECLSPEC unsigned long mpf_get_ui (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_init __gmpf_init +__GMP_DECLSPEC void mpf_init (mpf_ptr); + +#define mpf_init2 __gmpf_init2 +__GMP_DECLSPEC void mpf_init2 (mpf_ptr, mp_bitcnt_t); + +#define mpf_inits __gmpf_inits +__GMP_DECLSPEC void mpf_inits (mpf_ptr, ...); + +#define mpf_init_set __gmpf_init_set +__GMP_DECLSPEC void mpf_init_set (mpf_ptr, mpf_srcptr); + +#define mpf_init_set_d __gmpf_init_set_d +__GMP_DECLSPEC void mpf_init_set_d (mpf_ptr, double); + +#define mpf_init_set_si __gmpf_init_set_si +__GMP_DECLSPEC void mpf_init_set_si (mpf_ptr, signed long int); + +#define mpf_init_set_str __gmpf_init_set_str +__GMP_DECLSPEC int mpf_init_set_str (mpf_ptr, const char *, int); + +#define mpf_init_set_ui __gmpf_init_set_ui +__GMP_DECLSPEC void mpf_init_set_ui (mpf_ptr, unsigned long int); + +#define mpf_inp_str __gmpf_inp_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpf_inp_str (mpf_ptr, FILE *, int); +#endif + +#define mpf_integer_p __gmpf_integer_p +__GMP_DECLSPEC int mpf_integer_p (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_mul __gmpf_mul +__GMP_DECLSPEC void mpf_mul (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_mul_2exp __gmpf_mul_2exp +__GMP_DECLSPEC void mpf_mul_2exp (mpf_ptr, mpf_srcptr, mp_bitcnt_t); + +#define mpf_mul_ui __gmpf_mul_ui +__GMP_DECLSPEC void mpf_mul_ui (mpf_ptr, mpf_srcptr, unsigned long int); + +#define mpf_neg __gmpf_neg +__GMP_DECLSPEC void mpf_neg (mpf_ptr, mpf_srcptr); + +#define mpf_out_str __gmpf_out_str +#ifdef _GMP_H_HAVE_FILE +__GMP_DECLSPEC size_t mpf_out_str (FILE *, int, size_t, mpf_srcptr); +#endif + +#define mpf_pow_ui __gmpf_pow_ui +__GMP_DECLSPEC void mpf_pow_ui (mpf_ptr, mpf_srcptr, unsigned long int); + +#define mpf_random2 __gmpf_random2 +__GMP_DECLSPEC void mpf_random2 (mpf_ptr, mp_size_t, mp_exp_t); + +#define mpf_reldiff __gmpf_reldiff +__GMP_DECLSPEC void mpf_reldiff (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_set __gmpf_set +__GMP_DECLSPEC void mpf_set (mpf_ptr, mpf_srcptr); + +#define mpf_set_d __gmpf_set_d +__GMP_DECLSPEC void mpf_set_d (mpf_ptr, double); + +#define mpf_set_default_prec __gmpf_set_default_prec +__GMP_DECLSPEC void mpf_set_default_prec (mp_bitcnt_t) __GMP_NOTHROW; + +#define mpf_set_prec __gmpf_set_prec +__GMP_DECLSPEC void mpf_set_prec (mpf_ptr, mp_bitcnt_t); + +#define mpf_set_prec_raw __gmpf_set_prec_raw +__GMP_DECLSPEC void mpf_set_prec_raw (mpf_ptr, mp_bitcnt_t) __GMP_NOTHROW; + +#define mpf_set_q __gmpf_set_q +__GMP_DECLSPEC void mpf_set_q (mpf_ptr, mpq_srcptr); + +#define mpf_set_si __gmpf_set_si +__GMP_DECLSPEC void mpf_set_si (mpf_ptr, signed long int); + +#define mpf_set_str __gmpf_set_str +__GMP_DECLSPEC int mpf_set_str (mpf_ptr, const char *, int); + +#define mpf_set_ui __gmpf_set_ui +__GMP_DECLSPEC void mpf_set_ui (mpf_ptr, unsigned long int); + +#define mpf_set_z __gmpf_set_z +__GMP_DECLSPEC void mpf_set_z (mpf_ptr, mpz_srcptr); + +#define mpf_size __gmpf_size +__GMP_DECLSPEC size_t mpf_size (mpf_srcptr) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpf_sqrt __gmpf_sqrt +__GMP_DECLSPEC void mpf_sqrt (mpf_ptr, mpf_srcptr); + +#define mpf_sqrt_ui __gmpf_sqrt_ui +__GMP_DECLSPEC void mpf_sqrt_ui (mpf_ptr, unsigned long int); + +#define mpf_sub __gmpf_sub +__GMP_DECLSPEC void mpf_sub (mpf_ptr, mpf_srcptr, mpf_srcptr); + +#define mpf_sub_ui __gmpf_sub_ui +__GMP_DECLSPEC void mpf_sub_ui (mpf_ptr, mpf_srcptr, unsigned long int); + +#define mpf_swap __gmpf_swap +__GMP_DECLSPEC void mpf_swap (mpf_ptr, mpf_ptr) __GMP_NOTHROW; + +#define mpf_trunc __gmpf_trunc +__GMP_DECLSPEC void mpf_trunc (mpf_ptr, mpf_srcptr); + +#define mpf_ui_div __gmpf_ui_div +__GMP_DECLSPEC void mpf_ui_div (mpf_ptr, unsigned long int, mpf_srcptr); + +#define mpf_ui_sub __gmpf_ui_sub +__GMP_DECLSPEC void mpf_ui_sub (mpf_ptr, unsigned long int, mpf_srcptr); + +#define mpf_urandomb __gmpf_urandomb +__GMP_DECLSPEC void mpf_urandomb (mpf_ptr, gmp_randstate_ptr, mp_bitcnt_t); + + +/************ Low level positive-integer (i.e. N) routines. ************/ + +/* This is ugly, but we need to make user calls reach the prefixed function. */ + +#define mpn_add __MPN(add) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add) +__GMP_DECLSPEC mp_limb_t mpn_add (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); +#endif + +#define mpn_add_1 __MPN(add_1) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_add_1) +__GMP_DECLSPEC mp_limb_t mpn_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW; +#endif + +#define mpn_add_n __MPN(add_n) +__GMP_DECLSPEC mp_limb_t mpn_add_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_addmul_1 __MPN(addmul_1) +__GMP_DECLSPEC mp_limb_t mpn_addmul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_cmp __MPN(cmp) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_cmp) +__GMP_DECLSPEC int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpn_zero_p __MPN(zero_p) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_zero_p) +__GMP_DECLSPEC int mpn_zero_p (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; +#endif + +#define mpn_divexact_1 __MPN(divexact_1) +__GMP_DECLSPEC void mpn_divexact_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_divexact_by3(dst,src,size) \ + mpn_divexact_by3c (dst, src, size, __GMP_CAST (mp_limb_t, 0)) + +#define mpn_divexact_by3c __MPN(divexact_by3c) +__GMP_DECLSPEC mp_limb_t mpn_divexact_by3c (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_divmod_1(qp,np,nsize,dlimb) \ + mpn_divrem_1 (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dlimb) + +#define mpn_divrem __MPN(divrem) +__GMP_DECLSPEC mp_limb_t mpn_divrem (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr, mp_size_t); + +#define mpn_divrem_1 __MPN(divrem_1) +__GMP_DECLSPEC mp_limb_t mpn_divrem_1 (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_divrem_2 __MPN(divrem_2) +__GMP_DECLSPEC mp_limb_t mpn_divrem_2 (mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_srcptr); + +#define mpn_div_qr_1 __MPN(div_qr_1) +__GMP_DECLSPEC mp_limb_t mpn_div_qr_1 (mp_ptr, mp_limb_t *, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_div_qr_2 __MPN(div_qr_2) +__GMP_DECLSPEC mp_limb_t mpn_div_qr_2 (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_srcptr); + +#define mpn_gcd __MPN(gcd) +__GMP_DECLSPEC mp_size_t mpn_gcd (mp_ptr, mp_ptr, mp_size_t, mp_ptr, mp_size_t); + +#define mpn_gcd_11 __MPN(gcd_11) +__GMP_DECLSPEC mp_limb_t mpn_gcd_11 (mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_gcd_1 __MPN(gcd_1) +__GMP_DECLSPEC mp_limb_t mpn_gcd_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_gcdext_1 __MPN(gcdext_1) +__GMP_DECLSPEC mp_limb_t mpn_gcdext_1 (mp_limb_signed_t *, mp_limb_signed_t *, mp_limb_t, mp_limb_t); + +#define mpn_gcdext __MPN(gcdext) +__GMP_DECLSPEC mp_size_t mpn_gcdext (mp_ptr, mp_ptr, mp_size_t *, mp_ptr, mp_size_t, mp_ptr, mp_size_t); + +#define mpn_get_str __MPN(get_str) +__GMP_DECLSPEC size_t mpn_get_str (unsigned char *, int, mp_ptr, mp_size_t); + +#define mpn_hamdist __MPN(hamdist) +__GMP_DECLSPEC mp_bitcnt_t mpn_hamdist (mp_srcptr, mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpn_lshift __MPN(lshift) +__GMP_DECLSPEC mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int); + +#define mpn_mod_1 __MPN(mod_1) +__GMP_DECLSPEC mp_limb_t mpn_mod_1 (mp_srcptr, mp_size_t, mp_limb_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_mul __MPN(mul) +__GMP_DECLSPEC mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); + +#define mpn_mul_1 __MPN(mul_1) +__GMP_DECLSPEC mp_limb_t mpn_mul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_mul_n __MPN(mul_n) +__GMP_DECLSPEC void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_sqr __MPN(sqr) +__GMP_DECLSPEC void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t); + +#define mpn_neg __MPN(neg) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_neg) +__GMP_DECLSPEC mp_limb_t mpn_neg (mp_ptr, mp_srcptr, mp_size_t); +#endif + +#define mpn_com __MPN(com) +__GMP_DECLSPEC void mpn_com (mp_ptr, mp_srcptr, mp_size_t); + +#define mpn_perfect_square_p __MPN(perfect_square_p) +__GMP_DECLSPEC int mpn_perfect_square_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_perfect_power_p __MPN(perfect_power_p) +__GMP_DECLSPEC int mpn_perfect_power_p (mp_srcptr, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_popcount __MPN(popcount) +__GMP_DECLSPEC mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t) __GMP_NOTHROW __GMP_ATTRIBUTE_PURE; + +#define mpn_pow_1 __MPN(pow_1) +__GMP_DECLSPEC mp_size_t mpn_pow_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr); + +/* undocumented now, but retained here for upward compatibility */ +#define mpn_preinv_mod_1 __MPN(preinv_mod_1) +__GMP_DECLSPEC mp_limb_t mpn_preinv_mod_1 (mp_srcptr, mp_size_t, mp_limb_t, mp_limb_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_random __MPN(random) +__GMP_DECLSPEC void mpn_random (mp_ptr, mp_size_t); + +#define mpn_random2 __MPN(random2) +__GMP_DECLSPEC void mpn_random2 (mp_ptr, mp_size_t); + +#define mpn_rshift __MPN(rshift) +__GMP_DECLSPEC mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int); + +#define mpn_scan0 __MPN(scan0) +__GMP_DECLSPEC mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_scan1 __MPN(scan1) +__GMP_DECLSPEC mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_set_str __MPN(set_str) +__GMP_DECLSPEC mp_size_t mpn_set_str (mp_ptr, const unsigned char *, size_t, int); + +#define mpn_sizeinbase __MPN(sizeinbase) +__GMP_DECLSPEC size_t mpn_sizeinbase (mp_srcptr, mp_size_t, int); + +#define mpn_sqrtrem __MPN(sqrtrem) +__GMP_DECLSPEC mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t); + +#define mpn_sub __MPN(sub) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub) +__GMP_DECLSPEC mp_limb_t mpn_sub (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); +#endif + +#define mpn_sub_1 __MPN(sub_1) +#if __GMP_INLINE_PROTOTYPES || defined (__GMP_FORCE_mpn_sub_1) +__GMP_DECLSPEC mp_limb_t mpn_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t) __GMP_NOTHROW; +#endif + +#define mpn_sub_n __MPN(sub_n) +__GMP_DECLSPEC mp_limb_t mpn_sub_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_submul_1 __MPN(submul_1) +__GMP_DECLSPEC mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t); + +#define mpn_tdiv_qr __MPN(tdiv_qr) +__GMP_DECLSPEC void mpn_tdiv_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t); + +#define mpn_and_n __MPN(and_n) +__GMP_DECLSPEC void mpn_and_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_andn_n __MPN(andn_n) +__GMP_DECLSPEC void mpn_andn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_nand_n __MPN(nand_n) +__GMP_DECLSPEC void mpn_nand_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_ior_n __MPN(ior_n) +__GMP_DECLSPEC void mpn_ior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_iorn_n __MPN(iorn_n) +__GMP_DECLSPEC void mpn_iorn_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_nior_n __MPN(nior_n) +__GMP_DECLSPEC void mpn_nior_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_xor_n __MPN(xor_n) +__GMP_DECLSPEC void mpn_xor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_xnor_n __MPN(xnor_n) +__GMP_DECLSPEC void mpn_xnor_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_copyi __MPN(copyi) +__GMP_DECLSPEC void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t); +#define mpn_copyd __MPN(copyd) +__GMP_DECLSPEC void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t); +#define mpn_zero __MPN(zero) +__GMP_DECLSPEC void mpn_zero (mp_ptr, mp_size_t); + +#define mpn_cnd_add_n __MPN(cnd_add_n) +__GMP_DECLSPEC mp_limb_t mpn_cnd_add_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); +#define mpn_cnd_sub_n __MPN(cnd_sub_n) +__GMP_DECLSPEC mp_limb_t mpn_cnd_sub_n (mp_limb_t, mp_ptr, mp_srcptr, mp_srcptr, mp_size_t); + +#define mpn_sec_add_1 __MPN(sec_add_1) +__GMP_DECLSPEC mp_limb_t mpn_sec_add_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr); +#define mpn_sec_add_1_itch __MPN(sec_add_1_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_add_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_sub_1 __MPN(sec_sub_1) +__GMP_DECLSPEC mp_limb_t mpn_sec_sub_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t, mp_ptr); +#define mpn_sec_sub_1_itch __MPN(sec_sub_1_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_sub_1_itch (mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_cnd_swap __MPN(cnd_swap) +__GMP_DECLSPEC void mpn_cnd_swap (mp_limb_t, volatile mp_limb_t *, volatile mp_limb_t *, mp_size_t); + +#define mpn_sec_mul __MPN(sec_mul) +__GMP_DECLSPEC void mpn_sec_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_mul_itch __MPN(sec_mul_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_mul_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_sqr __MPN(sec_sqr) +__GMP_DECLSPEC void mpn_sec_sqr (mp_ptr, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_sqr_itch __MPN(sec_sqr_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_sqr_itch (mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_powm __MPN(sec_powm) +__GMP_DECLSPEC void mpn_sec_powm (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_bitcnt_t, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_powm_itch __MPN(sec_powm_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_powm_itch (mp_size_t, mp_bitcnt_t, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_tabselect __MPN(sec_tabselect) +__GMP_DECLSPEC void mpn_sec_tabselect (volatile mp_limb_t *, volatile const mp_limb_t *, mp_size_t, mp_size_t, mp_size_t); + +#define mpn_sec_div_qr __MPN(sec_div_qr) +__GMP_DECLSPEC mp_limb_t mpn_sec_div_qr (mp_ptr, mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_div_qr_itch __MPN(sec_div_qr_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_div_qr_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE; +#define mpn_sec_div_r __MPN(sec_div_r) +__GMP_DECLSPEC void mpn_sec_div_r (mp_ptr, mp_size_t, mp_srcptr, mp_size_t, mp_ptr); +#define mpn_sec_div_r_itch __MPN(sec_div_r_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_div_r_itch (mp_size_t, mp_size_t) __GMP_ATTRIBUTE_PURE; + +#define mpn_sec_invert __MPN(sec_invert) +__GMP_DECLSPEC int mpn_sec_invert (mp_ptr, mp_ptr, mp_srcptr, mp_size_t, mp_bitcnt_t, mp_ptr); +#define mpn_sec_invert_itch __MPN(sec_invert_itch) +__GMP_DECLSPEC mp_size_t mpn_sec_invert_itch (mp_size_t) __GMP_ATTRIBUTE_PURE; + + +/**************** mpz inlines ****************/ + +/* The following are provided as inlines where possible, but always exist as + library functions too, for binary compatibility. + + Within gmp itself this inlining generally isn't relied on, since it + doesn't get done for all compilers, whereas if something is worth + inlining then it's worth arranging always. + + There are two styles of inlining here. When the same bit of code is + wanted for the inline as for the library version, then __GMP_FORCE_foo + arranges for that code to be emitted and the __GMP_EXTERN_INLINE + directive suppressed, eg. mpz_fits_uint_p. When a different bit of code + is wanted for the inline than for the library version, then + __GMP_FORCE_foo arranges the inline to be suppressed, eg. mpz_abs. */ + +#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_abs) +__GMP_EXTERN_INLINE void +mpz_abs (mpz_ptr __gmp_w, mpz_srcptr __gmp_u) +{ + if (__gmp_w != __gmp_u) + mpz_set (__gmp_w, __gmp_u); + __gmp_w->_mp_size = __GMP_ABS (__gmp_w->_mp_size); +} +#endif + +#if GMP_NAIL_BITS == 0 +#define __GMPZ_FITS_UTYPE_P(z,maxval) \ + mp_size_t __gmp_n = z->_mp_size; \ + mp_ptr __gmp_p = z->_mp_d; \ + return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval)); +#else +#define __GMPZ_FITS_UTYPE_P(z,maxval) \ + mp_size_t __gmp_n = z->_mp_size; \ + mp_ptr __gmp_p = z->_mp_d; \ + return (__gmp_n == 0 || (__gmp_n == 1 && __gmp_p[0] <= maxval) \ + || (__gmp_n == 2 && __gmp_p[1] <= ((mp_limb_t) maxval >> GMP_NUMB_BITS))); +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_uint_p) +#if ! defined (__GMP_FORCE_mpz_fits_uint_p) +__GMP_EXTERN_INLINE +#endif +int +mpz_fits_uint_p (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + __GMPZ_FITS_UTYPE_P (__gmp_z, UINT_MAX); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ulong_p) +#if ! defined (__GMP_FORCE_mpz_fits_ulong_p) +__GMP_EXTERN_INLINE +#endif +int +mpz_fits_ulong_p (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + __GMPZ_FITS_UTYPE_P (__gmp_z, ULONG_MAX); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_fits_ushort_p) +#if ! defined (__GMP_FORCE_mpz_fits_ushort_p) +__GMP_EXTERN_INLINE +#endif +int +mpz_fits_ushort_p (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + __GMPZ_FITS_UTYPE_P (__gmp_z, USHRT_MAX); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_get_ui) +#if ! defined (__GMP_FORCE_mpz_get_ui) +__GMP_EXTERN_INLINE +#endif +unsigned long +mpz_get_ui (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + mp_ptr __gmp_p = __gmp_z->_mp_d; + mp_size_t __gmp_n = __gmp_z->_mp_size; + mp_limb_t __gmp_l = __gmp_p[0]; + /* This is a "#if" rather than a plain "if" so as to avoid gcc warnings + about "<< GMP_NUMB_BITS" exceeding the type size, and to avoid Borland + C++ 6.0 warnings about condition always true for something like + "ULONG_MAX < GMP_NUMB_MASK". */ +#if GMP_NAIL_BITS == 0 || defined (_LONG_LONG_LIMB) + /* limb==long and no nails, or limb==longlong, one limb is enough */ + return (__gmp_n != 0 ? __gmp_l : 0); +#else + /* limb==long and nails, need two limbs when available */ + __gmp_n = __GMP_ABS (__gmp_n); + if (__gmp_n <= 1) + return (__gmp_n != 0 ? __gmp_l : 0); + else + return __gmp_l + (__gmp_p[1] << GMP_NUMB_BITS); +#endif +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_getlimbn) +#if ! defined (__GMP_FORCE_mpz_getlimbn) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpz_getlimbn (mpz_srcptr __gmp_z, mp_size_t __gmp_n) __GMP_NOTHROW +{ + mp_limb_t __gmp_result = 0; + if (__GMP_LIKELY (__gmp_n >= 0 && __gmp_n < __GMP_ABS (__gmp_z->_mp_size))) + __gmp_result = __gmp_z->_mp_d[__gmp_n]; + return __gmp_result; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpz_neg) +__GMP_EXTERN_INLINE void +mpz_neg (mpz_ptr __gmp_w, mpz_srcptr __gmp_u) +{ + if (__gmp_w != __gmp_u) + mpz_set (__gmp_w, __gmp_u); + __gmp_w->_mp_size = - __gmp_w->_mp_size; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_perfect_square_p) +#if ! defined (__GMP_FORCE_mpz_perfect_square_p) +__GMP_EXTERN_INLINE +#endif +int +mpz_perfect_square_p (mpz_srcptr __gmp_a) +{ + mp_size_t __gmp_asize; + int __gmp_result; + + __gmp_asize = __gmp_a->_mp_size; + __gmp_result = (__gmp_asize >= 0); /* zero is a square, negatives are not */ + if (__GMP_LIKELY (__gmp_asize > 0)) + __gmp_result = mpn_perfect_square_p (__gmp_a->_mp_d, __gmp_asize); + return __gmp_result; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_popcount) +#if ! defined (__GMP_FORCE_mpz_popcount) +__GMP_EXTERN_INLINE +#endif +mp_bitcnt_t +mpz_popcount (mpz_srcptr __gmp_u) __GMP_NOTHROW +{ + mp_size_t __gmp_usize; + mp_bitcnt_t __gmp_result; + + __gmp_usize = __gmp_u->_mp_size; + __gmp_result = (__gmp_usize < 0 ? ~ __GMP_CAST (mp_bitcnt_t, 0) : __GMP_CAST (mp_bitcnt_t, 0)); + if (__GMP_LIKELY (__gmp_usize > 0)) + __gmp_result = mpn_popcount (__gmp_u->_mp_d, __gmp_usize); + return __gmp_result; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_set_q) +#if ! defined (__GMP_FORCE_mpz_set_q) +__GMP_EXTERN_INLINE +#endif +void +mpz_set_q (mpz_ptr __gmp_w, mpq_srcptr __gmp_u) +{ + mpz_tdiv_q (__gmp_w, mpq_numref (__gmp_u), mpq_denref (__gmp_u)); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpz_size) +#if ! defined (__GMP_FORCE_mpz_size) +__GMP_EXTERN_INLINE +#endif +size_t +mpz_size (mpz_srcptr __gmp_z) __GMP_NOTHROW +{ + return __GMP_ABS (__gmp_z->_mp_size); +} +#endif + + +/**************** mpq inlines ****************/ + +#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_abs) +__GMP_EXTERN_INLINE void +mpq_abs (mpq_ptr __gmp_w, mpq_srcptr __gmp_u) +{ + if (__gmp_w != __gmp_u) + mpq_set (__gmp_w, __gmp_u); + __gmp_w->_mp_num._mp_size = __GMP_ABS (__gmp_w->_mp_num._mp_size); +} +#endif + +#if defined (__GMP_EXTERN_INLINE) && ! defined (__GMP_FORCE_mpq_neg) +__GMP_EXTERN_INLINE void +mpq_neg (mpq_ptr __gmp_w, mpq_srcptr __gmp_u) +{ + if (__gmp_w != __gmp_u) + mpq_set (__gmp_w, __gmp_u); + __gmp_w->_mp_num._mp_size = - __gmp_w->_mp_num._mp_size; +} +#endif + + +/**************** mpn inlines ****************/ + +/* The comments with __GMPN_ADD_1 below apply here too. + + The test for FUNCTION returning 0 should predict well. If it's assumed + {yp,ysize} will usually have a random number of bits then the high limb + won't be full and a carry out will occur a good deal less than 50% of the + time. + + ysize==0 isn't a documented feature, but is used internally in a few + places. + + Producing cout last stops it using up a register during the main part of + the calculation, though gcc (as of 3.0) on an "if (mpn_add (...))" + doesn't seem able to move the true and false legs of the conditional up + to the two places cout is generated. */ + +#define __GMPN_AORS(cout, wp, xp, xsize, yp, ysize, FUNCTION, TEST) \ + do { \ + mp_size_t __gmp_i; \ + mp_limb_t __gmp_x; \ + \ + /* ASSERT ((ysize) >= 0); */ \ + /* ASSERT ((xsize) >= (ysize)); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, xp, xsize)); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE2_P (wp, xsize, yp, ysize)); */ \ + \ + __gmp_i = (ysize); \ + if (__gmp_i != 0) \ + { \ + if (FUNCTION (wp, xp, yp, __gmp_i)) \ + { \ + do \ + { \ + if (__gmp_i >= (xsize)) \ + { \ + (cout) = 1; \ + goto __gmp_done; \ + } \ + __gmp_x = (xp)[__gmp_i]; \ + } \ + while (TEST); \ + } \ + } \ + if ((wp) != (xp)) \ + __GMPN_COPY_REST (wp, xp, xsize, __gmp_i); \ + (cout) = 0; \ + __gmp_done: \ + ; \ + } while (0) + +#define __GMPN_ADD(cout, wp, xp, xsize, yp, ysize) \ + __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_add_n, \ + (((wp)[__gmp_i++] = (__gmp_x + 1) & GMP_NUMB_MASK) == 0)) +#define __GMPN_SUB(cout, wp, xp, xsize, yp, ysize) \ + __GMPN_AORS (cout, wp, xp, xsize, yp, ysize, mpn_sub_n, \ + (((wp)[__gmp_i++] = (__gmp_x - 1) & GMP_NUMB_MASK), __gmp_x == 0)) + + +/* The use of __gmp_i indexing is designed to ensure a compile time src==dst + remains nice and clear to the compiler, so that __GMPN_COPY_REST can + disappear, and the load/add/store gets a chance to become a + read-modify-write on CISC CPUs. + + Alternatives: + + Using a pair of pointers instead of indexing would be possible, but gcc + isn't able to recognise compile-time src==dst in that case, even when the + pointers are incremented more or less together. Other compilers would + very likely have similar difficulty. + + gcc could use "if (__builtin_constant_p(src==dst) && src==dst)" or + similar to detect a compile-time src==dst. This works nicely on gcc + 2.95.x, it's not good on gcc 3.0 where __builtin_constant_p(p==p) seems + to be always false, for a pointer p. But the current code form seems + good enough for src==dst anyway. + + gcc on x86 as usual doesn't give particularly good flags handling for the + carry/borrow detection. It's tempting to want some multi instruction asm + blocks to help it, and this was tried, but in truth there's only a few + instructions to save and any gain is all too easily lost by register + juggling setting up for the asm. */ + +#if GMP_NAIL_BITS == 0 +#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \ + do { \ + mp_size_t __gmp_i; \ + mp_limb_t __gmp_x, __gmp_r; \ + \ + /* ASSERT ((n) >= 1); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \ + \ + __gmp_x = (src)[0]; \ + __gmp_r = __gmp_x OP (v); \ + (dst)[0] = __gmp_r; \ + if (CB (__gmp_r, __gmp_x, (v))) \ + { \ + (cout) = 1; \ + for (__gmp_i = 1; __gmp_i < (n);) \ + { \ + __gmp_x = (src)[__gmp_i]; \ + __gmp_r = __gmp_x OP 1; \ + (dst)[__gmp_i] = __gmp_r; \ + ++__gmp_i; \ + if (!CB (__gmp_r, __gmp_x, 1)) \ + { \ + if ((src) != (dst)) \ + __GMPN_COPY_REST (dst, src, n, __gmp_i); \ + (cout) = 0; \ + break; \ + } \ + } \ + } \ + else \ + { \ + if ((src) != (dst)) \ + __GMPN_COPY_REST (dst, src, n, 1); \ + (cout) = 0; \ + } \ + } while (0) +#endif + +#if GMP_NAIL_BITS >= 1 +#define __GMPN_AORS_1(cout, dst, src, n, v, OP, CB) \ + do { \ + mp_size_t __gmp_i; \ + mp_limb_t __gmp_x, __gmp_r; \ + \ + /* ASSERT ((n) >= 1); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, n)); */ \ + \ + __gmp_x = (src)[0]; \ + __gmp_r = __gmp_x OP (v); \ + (dst)[0] = __gmp_r & GMP_NUMB_MASK; \ + if (__gmp_r >> GMP_NUMB_BITS != 0) \ + { \ + (cout) = 1; \ + for (__gmp_i = 1; __gmp_i < (n);) \ + { \ + __gmp_x = (src)[__gmp_i]; \ + __gmp_r = __gmp_x OP 1; \ + (dst)[__gmp_i] = __gmp_r & GMP_NUMB_MASK; \ + ++__gmp_i; \ + if (__gmp_r >> GMP_NUMB_BITS == 0) \ + { \ + if ((src) != (dst)) \ + __GMPN_COPY_REST (dst, src, n, __gmp_i); \ + (cout) = 0; \ + break; \ + } \ + } \ + } \ + else \ + { \ + if ((src) != (dst)) \ + __GMPN_COPY_REST (dst, src, n, 1); \ + (cout) = 0; \ + } \ + } while (0) +#endif + +#define __GMPN_ADDCB(r,x,y) ((r) < (y)) +#define __GMPN_SUBCB(r,x,y) ((x) < (y)) + +#define __GMPN_ADD_1(cout, dst, src, n, v) \ + __GMPN_AORS_1(cout, dst, src, n, v, +, __GMPN_ADDCB) +#define __GMPN_SUB_1(cout, dst, src, n, v) \ + __GMPN_AORS_1(cout, dst, src, n, v, -, __GMPN_SUBCB) + + +/* Compare {xp,size} and {yp,size}, setting "result" to positive, zero or + negative. size==0 is allowed. On random data usually only one limb will + need to be examined to get a result, so it's worth having it inline. */ +#define __GMPN_CMP(result, xp, yp, size) \ + do { \ + mp_size_t __gmp_i; \ + mp_limb_t __gmp_x, __gmp_y; \ + \ + /* ASSERT ((size) >= 0); */ \ + \ + (result) = 0; \ + __gmp_i = (size); \ + while (--__gmp_i >= 0) \ + { \ + __gmp_x = (xp)[__gmp_i]; \ + __gmp_y = (yp)[__gmp_i]; \ + if (__gmp_x != __gmp_y) \ + { \ + /* Cannot use __gmp_x - __gmp_y, may overflow an "int" */ \ + (result) = (__gmp_x > __gmp_y ? 1 : -1); \ + break; \ + } \ + } \ + } while (0) + + +#if defined (__GMPN_COPY) && ! defined (__GMPN_COPY_REST) +#define __GMPN_COPY_REST(dst, src, size, start) \ + do { \ + /* ASSERT ((start) >= 0); */ \ + /* ASSERT ((start) <= (size)); */ \ + __GMPN_COPY ((dst)+(start), (src)+(start), (size)-(start)); \ + } while (0) +#endif + +/* Copy {src,size} to {dst,size}, starting at "start". This is designed to + keep the indexing dst[j] and src[j] nice and simple for __GMPN_ADD_1, + __GMPN_ADD, etc. */ +#if ! defined (__GMPN_COPY_REST) +#define __GMPN_COPY_REST(dst, src, size, start) \ + do { \ + mp_size_t __gmp_j; \ + /* ASSERT ((size) >= 0); */ \ + /* ASSERT ((start) >= 0); */ \ + /* ASSERT ((start) <= (size)); */ \ + /* ASSERT (MPN_SAME_OR_SEPARATE_P (dst, src, size)); */ \ + __GMP_CRAY_Pragma ("_CRI ivdep"); \ + for (__gmp_j = (start); __gmp_j < (size); __gmp_j++) \ + (dst)[__gmp_j] = (src)[__gmp_j]; \ + } while (0) +#endif + +/* Enhancement: Use some of the smarter code from gmp-impl.h. Maybe use + mpn_copyi if there's a native version, and if we don't mind demanding + binary compatibility for it (on targets which use it). */ + +#if ! defined (__GMPN_COPY) +#define __GMPN_COPY(dst, src, size) __GMPN_COPY_REST (dst, src, size, 0) +#endif + + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add) +#if ! defined (__GMP_FORCE_mpn_add) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_add (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize) +{ + mp_limb_t __gmp_c; + __GMPN_ADD (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize); + return __gmp_c; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_add_1) +#if ! defined (__GMP_FORCE_mpn_add_1) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_add_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW +{ + mp_limb_t __gmp_c; + __GMPN_ADD_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n); + return __gmp_c; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_cmp) +#if ! defined (__GMP_FORCE_mpn_cmp) +__GMP_EXTERN_INLINE +#endif +int +mpn_cmp (mp_srcptr __gmp_xp, mp_srcptr __gmp_yp, mp_size_t __gmp_size) __GMP_NOTHROW +{ + int __gmp_result; + __GMPN_CMP (__gmp_result, __gmp_xp, __gmp_yp, __gmp_size); + return __gmp_result; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_zero_p) +#if ! defined (__GMP_FORCE_mpn_zero_p) +__GMP_EXTERN_INLINE +#endif +int +mpn_zero_p (mp_srcptr __gmp_p, mp_size_t __gmp_n) __GMP_NOTHROW +{ + /* if (__GMP_LIKELY (__gmp_n > 0)) */ + do { + if (__gmp_p[--__gmp_n] != 0) + return 0; + } while (__gmp_n != 0); + return 1; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub) +#if ! defined (__GMP_FORCE_mpn_sub) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_sub (mp_ptr __gmp_wp, mp_srcptr __gmp_xp, mp_size_t __gmp_xsize, mp_srcptr __gmp_yp, mp_size_t __gmp_ysize) +{ + mp_limb_t __gmp_c; + __GMPN_SUB (__gmp_c, __gmp_wp, __gmp_xp, __gmp_xsize, __gmp_yp, __gmp_ysize); + return __gmp_c; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_sub_1) +#if ! defined (__GMP_FORCE_mpn_sub_1) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_sub_1 (mp_ptr __gmp_dst, mp_srcptr __gmp_src, mp_size_t __gmp_size, mp_limb_t __gmp_n) __GMP_NOTHROW +{ + mp_limb_t __gmp_c; + __GMPN_SUB_1 (__gmp_c, __gmp_dst, __gmp_src, __gmp_size, __gmp_n); + return __gmp_c; +} +#endif + +#if defined (__GMP_EXTERN_INLINE) || defined (__GMP_FORCE_mpn_neg) +#if ! defined (__GMP_FORCE_mpn_neg) +__GMP_EXTERN_INLINE +#endif +mp_limb_t +mpn_neg (mp_ptr __gmp_rp, mp_srcptr __gmp_up, mp_size_t __gmp_n) +{ + while (*__gmp_up == 0) /* Low zero limbs are unchanged by negation. */ + { + *__gmp_rp = 0; + if (!--__gmp_n) /* All zero */ + return 0; + ++__gmp_up; ++__gmp_rp; + } + + *__gmp_rp = (- *__gmp_up) & GMP_NUMB_MASK; + + if (--__gmp_n) /* Higher limbs get complemented. */ + mpn_com (++__gmp_rp, ++__gmp_up, __gmp_n); + + return 1; +} +#endif + +#if defined (__cplusplus) +} +#endif + + +/* Allow faster testing for negative, zero, and positive. */ +#define mpz_sgn(Z) ((Z)->_mp_size < 0 ? -1 : (Z)->_mp_size > 0) +#define mpf_sgn(F) ((F)->_mp_size < 0 ? -1 : (F)->_mp_size > 0) +#define mpq_sgn(Q) ((Q)->_mp_num._mp_size < 0 ? -1 : (Q)->_mp_num._mp_size > 0) + +/* When using GCC, optimize certain common comparisons. */ +#if defined (__GNUC__) && __GNUC__ >= 2 +#define mpz_cmp_ui(Z,UI) \ + (__builtin_constant_p (UI) && (UI) == 0 \ + ? mpz_sgn (Z) : _mpz_cmp_ui (Z,UI)) +#define mpz_cmp_si(Z,SI) \ + (__builtin_constant_p ((SI) >= 0) && (SI) >= 0 \ + ? mpz_cmp_ui (Z, __GMP_CAST (unsigned long, SI)) \ + : _mpz_cmp_si (Z,SI)) +#define mpq_cmp_ui(Q,NUI,DUI) \ + (__builtin_constant_p (NUI) && (NUI) == 0 ? mpq_sgn (Q) \ + : __builtin_constant_p ((NUI) == (DUI)) && (NUI) == (DUI) \ + ? mpz_cmp (mpq_numref (Q), mpq_denref (Q)) \ + : _mpq_cmp_ui (Q,NUI,DUI)) +#define mpq_cmp_si(q,n,d) \ + (__builtin_constant_p ((n) >= 0) && (n) >= 0 \ + ? mpq_cmp_ui (q, __GMP_CAST (unsigned long, n), d) \ + : _mpq_cmp_si (q, n, d)) +#else +#define mpz_cmp_ui(Z,UI) _mpz_cmp_ui (Z,UI) +#define mpz_cmp_si(Z,UI) _mpz_cmp_si (Z,UI) +#define mpq_cmp_ui(Q,NUI,DUI) _mpq_cmp_ui (Q,NUI,DUI) +#define mpq_cmp_si(q,n,d) _mpq_cmp_si(q,n,d) +#endif + + +/* Using "&" rather than "&&" means these can come out branch-free. Every + mpz_t has at least one limb allocated, so fetching the low limb is always + allowed. */ +#define mpz_odd_p(z) (((z)->_mp_size != 0) & __GMP_CAST (int, (z)->_mp_d[0])) +#define mpz_even_p(z) (! mpz_odd_p (z)) + + +/**************** C++ routines ****************/ + +#ifdef __cplusplus +__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpz_srcptr); +__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpq_srcptr); +__GMP_DECLSPEC_XX std::ostream& operator<< (std::ostream &, mpf_srcptr); +__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpz_ptr); +__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpq_ptr); +__GMP_DECLSPEC_XX std::istream& operator>> (std::istream &, mpf_ptr); +#endif + + +/* Source-level compatibility with GMP 2 and earlier. */ +#define mpn_divmod(qp,np,nsize,dp,dsize) \ + mpn_divrem (qp, __GMP_CAST (mp_size_t, 0), np, nsize, dp, dsize) + +/* Source-level compatibility with GMP 1. */ +#define mpz_mdiv mpz_fdiv_q +#define mpz_mdivmod mpz_fdiv_qr +#define mpz_mmod mpz_fdiv_r +#define mpz_mdiv_ui mpz_fdiv_q_ui +#define mpz_mdivmod_ui(q,r,n,d) \ + (((r) == 0) ? mpz_fdiv_q_ui (q,n,d) : mpz_fdiv_qr_ui (q,r,n,d)) +#define mpz_mmod_ui(r,n,d) \ + (((r) == 0) ? mpz_fdiv_ui (n,d) : mpz_fdiv_r_ui (r,n,d)) + +/* Useful synonyms, but not quite compatible with GMP 1. */ +#define mpz_div mpz_fdiv_q +#define mpz_divmod mpz_fdiv_qr +#define mpz_div_ui mpz_fdiv_q_ui +#define mpz_divmod_ui mpz_fdiv_qr_ui +#define mpz_div_2exp mpz_fdiv_q_2exp +#define mpz_mod_2exp mpz_fdiv_r_2exp + +enum +{ + GMP_ERROR_NONE = 0, + GMP_ERROR_UNSUPPORTED_ARGUMENT = 1, + GMP_ERROR_DIVISION_BY_ZERO = 2, + GMP_ERROR_SQRT_OF_NEGATIVE = 4, + GMP_ERROR_INVALID_ARGUMENT = 8, + GMP_ERROR_MPZ_OVERFLOW = 16 +}; + +/* Define CC and CFLAGS which were used to build this version of GMP */ +#define __GMP_CC "/workspace/xonotic/.tmp/misc/builddeps/emsdk/upstream/emscripten/emcc" +#define __GMP_CFLAGS "-O2 -pedantic" + +/* Major version number is the value of __GNU_MP__ too, above. */ +#define __GNU_MP_VERSION 6 +#define __GNU_MP_VERSION_MINOR 3 +#define __GNU_MP_VERSION_PATCHLEVEL 0 +#define __GNU_MP_RELEASE (__GNU_MP_VERSION * 10000 + __GNU_MP_VERSION_MINOR * 100 + __GNU_MP_VERSION_PATCHLEVEL) + +#define __GMP_H__ +#endif /* __GMP_H__ */ diff --git a/misc/builddeps/emscripten/gmp/include/gmpxx.h b/misc/builddeps/emscripten/gmp/include/gmpxx.h new file mode 100644 index 00000000..b7ed06a4 --- /dev/null +++ b/misc/builddeps/emscripten/gmp/include/gmpxx.h @@ -0,0 +1,3712 @@ +/* gmpxx.h -- C++ class wrapper for GMP types. -*- C++ -*- + +Copyright 2001-2003, 2006, 2008, 2011-2015, 2018 Free Software +Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + +or + + * the GNU General Public License as published by the Free Software + Foundation; either version 2 of the License, or (at your option) any + later version. + +or both in parallel, as here. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +You should have received copies of the GNU General Public License and the +GNU Lesser General Public License along with the GNU MP Library. If not, +see https://www.gnu.org/licenses/. */ + +#ifndef __GMP_PLUSPLUS__ +#define __GMP_PLUSPLUS__ + +#include + +#include /* for strlen */ +#include /* numeric_limits */ +#include +#include /* swap */ +#include +#include +#include +#include + +// wrapper for gcc's __builtin_constant_p +// __builtin_constant_p has been in gcc since forever, +// but g++-3.4 miscompiles it. +#if __GMP_GNUC_PREREQ(4, 2) +#define __GMPXX_CONSTANT(X) __builtin_constant_p(X) +#else +#define __GMPXX_CONSTANT(X) false +#endif +#define __GMPXX_CONSTANT_TRUE(X) (__GMPXX_CONSTANT(X) && (X)) + +// Use C++11 features +#ifndef __GMPXX_USE_CXX11 +#if __cplusplus >= 201103L +#define __GMPXX_USE_CXX11 1 +#else +#define __GMPXX_USE_CXX11 0 +#endif +#endif + +#if __GMPXX_USE_CXX11 +#define __GMPXX_NOEXCEPT noexcept +#include // for common_type +#else +#define __GMPXX_NOEXCEPT +#endif + +// Max allocations for plain types when converted to GMP types +#if GMP_NAIL_BITS != 0 && ! defined _LONG_LONG_LIMB +#define __GMPZ_ULI_LIMBS 2 +#else +#define __GMPZ_ULI_LIMBS 1 +#endif + +#define __GMPXX_BITS_TO_LIMBS(n) (((n) + (GMP_NUMB_BITS - 1)) / GMP_NUMB_BITS) +#define __GMPZ_DBL_LIMBS __GMPXX_BITS_TO_LIMBS(DBL_MAX_EXP)+1 +#define __GMPQ_NUM_DBL_LIMBS __GMPZ_DBL_LIMBS +#define __GMPQ_DEN_DBL_LIMBS __GMPXX_BITS_TO_LIMBS(DBL_MANT_DIG+1-DBL_MIN_EXP)+1 +// The final +1s are a security margin. The current implementation of +// mpq_set_d seems to need it for the denominator. + +inline void __mpz_set_ui_safe(mpz_ptr p, unsigned long l) +{ + p->_mp_size = (l != 0); + p->_mp_d[0] = l & GMP_NUMB_MASK; +#if __GMPZ_ULI_LIMBS > 1 + l >>= GMP_NUMB_BITS; + p->_mp_d[1] = l; + p->_mp_size += (l != 0); +#endif +} + +inline void __mpz_set_si_safe(mpz_ptr p, long l) +{ + if(l < 0) + { + __mpz_set_ui_safe(p, -static_cast(l)); + mpz_neg(p, p); + } + else + __mpz_set_ui_safe(p, l); + // Note: we know the high bit of l is 0 so we could do slightly better +} + +// Fake temporary variables +#define __GMPXX_TMPZ_UI \ + mpz_t temp; \ + mp_limb_t limbs[__GMPZ_ULI_LIMBS]; \ + temp->_mp_d = limbs; \ + __mpz_set_ui_safe (temp, l) +#define __GMPXX_TMPZ_SI \ + mpz_t temp; \ + mp_limb_t limbs[__GMPZ_ULI_LIMBS]; \ + temp->_mp_d = limbs; \ + __mpz_set_si_safe (temp, l) +#define __GMPXX_TMPZ_D \ + mpz_t temp; \ + mp_limb_t limbs[__GMPZ_DBL_LIMBS]; \ + temp->_mp_d = limbs; \ + temp->_mp_alloc = __GMPZ_DBL_LIMBS; \ + mpz_set_d (temp, d) + +#define __GMPXX_TMPQ_UI \ + mpq_t temp; \ + mp_limb_t limbs[__GMPZ_ULI_LIMBS+1]; \ + mpq_numref(temp)->_mp_d = limbs; \ + __mpz_set_ui_safe (mpq_numref(temp), l); \ + mpq_denref(temp)->_mp_d = limbs + __GMPZ_ULI_LIMBS; \ + mpq_denref(temp)->_mp_size = 1; \ + mpq_denref(temp)->_mp_d[0] = 1 +#define __GMPXX_TMPQ_SI \ + mpq_t temp; \ + mp_limb_t limbs[__GMPZ_ULI_LIMBS+1]; \ + mpq_numref(temp)->_mp_d = limbs; \ + __mpz_set_si_safe (mpq_numref(temp), l); \ + mpq_denref(temp)->_mp_d = limbs + __GMPZ_ULI_LIMBS; \ + mpq_denref(temp)->_mp_size = 1; \ + mpq_denref(temp)->_mp_d[0] = 1 +#define __GMPXX_TMPQ_D \ + mpq_t temp; \ + mp_limb_t limbs[__GMPQ_NUM_DBL_LIMBS + __GMPQ_DEN_DBL_LIMBS]; \ + mpq_numref(temp)->_mp_d = limbs; \ + mpq_numref(temp)->_mp_alloc = __GMPQ_NUM_DBL_LIMBS; \ + mpq_denref(temp)->_mp_d = limbs + __GMPQ_NUM_DBL_LIMBS; \ + mpq_denref(temp)->_mp_alloc = __GMPQ_DEN_DBL_LIMBS; \ + mpq_set_d (temp, d) + +inline unsigned long __gmpxx_abs_ui (signed long l) +{ + return l >= 0 ? static_cast(l) + : -static_cast(l); +} + +/**************** Function objects ****************/ +/* Any evaluation of a __gmp_expr ends up calling one of these functions + all intermediate functions being inline, the evaluation should optimize + to a direct call to the relevant function, thus yielding no overhead + over the C interface. */ + +struct __gmp_unary_plus +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_set(z, w); } + static void eval(mpq_ptr q, mpq_srcptr r) { mpq_set(q, r); } + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_set(f, g); } +}; + +struct __gmp_unary_minus +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_neg(z, w); } + static void eval(mpq_ptr q, mpq_srcptr r) { mpq_neg(q, r); } + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_neg(f, g); } +}; + +struct __gmp_unary_com +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_com(z, w); } +}; + +struct __gmp_binary_plus +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_add(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { + // Ideally, those checks should happen earlier so that the tree + // generated for a+0+b would just be sum(a,b). + if (__GMPXX_CONSTANT(l) && l == 0) + { + if (z != w) mpz_set(z, w); + } + else + mpz_add_ui(z, w, l); + } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + if (l >= 0) + eval(z, w, static_cast(l)); + else + mpz_sub_ui(z, w, -static_cast(l)); + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_add (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { eval(z, w, d); } + + static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s) + { mpq_add(q, r, s); } + + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { + if (__GMPXX_CONSTANT(l) && l == 0) + { + if (q != r) mpq_set(q, r); + } + else if (__GMPXX_CONSTANT(l) && l == 1) + { + mpz_add (mpq_numref(q), mpq_numref(r), mpq_denref(r)); + if (q != r) mpz_set(mpq_denref(q), mpq_denref(r)); + } + else + { + if (q == r) + mpz_addmul_ui(mpq_numref(q), mpq_denref(q), l); + else + { + mpz_mul_ui(mpq_numref(q), mpq_denref(r), l); + mpz_add(mpq_numref(q), mpq_numref(q), mpq_numref(r)); + mpz_set(mpq_denref(q), mpq_denref(r)); + } + } + } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { eval(q, r, l); } + static inline void eval(mpq_ptr q, mpq_srcptr r, signed long int l); + // defined after __gmp_binary_minus + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { eval(q, r, l); } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { __GMPXX_TMPQ_D; mpq_add (q, r, temp); } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { eval(q, r, d); } + + static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z) + { + if (q == r) + mpz_addmul(mpq_numref(q), mpq_denref(q), z); + else + { + mpz_mul(mpq_numref(q), mpq_denref(r), z); + mpz_add(mpq_numref(q), mpq_numref(q), mpq_numref(r)); + mpz_set(mpq_denref(q), mpq_denref(r)); + } + } + static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r) + { eval(q, r, z); } + + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { mpf_add(f, g, h); } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_add_ui(f, g, l); } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { mpf_add_ui(f, g, l); } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + if (l >= 0) + mpf_add_ui(f, g, l); + else + mpf_sub_ui(f, g, -static_cast(l)); + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { eval(f, g, l); } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_add(f, g, temp); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { eval(f, g, d); } +}; + +struct __gmp_binary_minus +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_sub(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { + if (__GMPXX_CONSTANT(l) && l == 0) + { + if (z != w) mpz_set(z, w); + } + else + mpz_sub_ui(z, w, l); + } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { + if (__GMPXX_CONSTANT(l) && l == 0) + { + mpz_neg(z, w); + } + else + mpz_ui_sub(z, l, w); + } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + if (l >= 0) + eval(z, w, static_cast(l)); + else + mpz_add_ui(z, w, -static_cast(l)); + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { + if (l >= 0) + eval(z, static_cast(l), w); + else + { + mpz_add_ui(z, w, -static_cast(l)); + mpz_neg(z, z); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_sub (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { __GMPXX_TMPZ_D; mpz_sub (z, temp, w); } + + static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s) + { mpq_sub(q, r, s); } + + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { + if (__GMPXX_CONSTANT(l) && l == 0) + { + if (q != r) mpq_set(q, r); + } + else if (__GMPXX_CONSTANT(l) && l == 1) + { + mpz_sub (mpq_numref(q), mpq_numref(r), mpq_denref(r)); + if (q != r) mpz_set(mpq_denref(q), mpq_denref(r)); + } + else + { + if (q == r) + mpz_submul_ui(mpq_numref(q), mpq_denref(q), l); + else + { + mpz_mul_ui(mpq_numref(q), mpq_denref(r), l); + mpz_sub(mpq_numref(q), mpq_numref(r), mpq_numref(q)); + mpz_set(mpq_denref(q), mpq_denref(r)); + } + } + } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { eval(q, r, l); mpq_neg(q, q); } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + if (l >= 0) + eval(q, r, static_cast(l)); + else + __gmp_binary_plus::eval(q, r, -static_cast(l)); + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { eval(q, r, l); mpq_neg(q, q); } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { __GMPXX_TMPQ_D; mpq_sub (q, r, temp); } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { __GMPXX_TMPQ_D; mpq_sub (q, temp, r); } + + static void eval(mpq_ptr q, mpq_srcptr r, mpz_srcptr z) + { + if (q == r) + mpz_submul(mpq_numref(q), mpq_denref(q), z); + else + { + mpz_mul(mpq_numref(q), mpq_denref(r), z); + mpz_sub(mpq_numref(q), mpq_numref(r), mpq_numref(q)); + mpz_set(mpq_denref(q), mpq_denref(r)); + } + } + static void eval(mpq_ptr q, mpz_srcptr z, mpq_srcptr r) + { eval(q, r, z); mpq_neg(q, q); } + + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { mpf_sub(f, g, h); } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_sub_ui(f, g, l); } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { mpf_ui_sub(f, l, g); } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + if (l >= 0) + mpf_sub_ui(f, g, l); + else + mpf_add_ui(f, g, -static_cast(l)); + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + if (l >= 0) + mpf_sub_ui(f, g, l); + else + mpf_add_ui(f, g, -static_cast(l)); + mpf_neg(f, f); + } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_sub(f, g, temp); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_sub(f, temp, g); + mpf_clear(temp); + } +}; + +// defined here so it can reference __gmp_binary_minus +inline void +__gmp_binary_plus::eval(mpq_ptr q, mpq_srcptr r, signed long int l) +{ + if (l >= 0) + eval(q, r, static_cast(l)); + else + __gmp_binary_minus::eval(q, r, -static_cast(l)); +} + +struct __gmp_binary_lshift +{ + static void eval(mpz_ptr z, mpz_srcptr w, mp_bitcnt_t l) + { + if (__GMPXX_CONSTANT(l) && (l == 0)) + { + if (z != w) mpz_set(z, w); + } + else + mpz_mul_2exp(z, w, l); + } + static void eval(mpq_ptr q, mpq_srcptr r, mp_bitcnt_t l) + { + if (__GMPXX_CONSTANT(l) && (l == 0)) + { + if (q != r) mpq_set(q, r); + } + else + mpq_mul_2exp(q, r, l); + } + static void eval(mpf_ptr f, mpf_srcptr g, mp_bitcnt_t l) + { mpf_mul_2exp(f, g, l); } +}; + +struct __gmp_binary_rshift +{ + static void eval(mpz_ptr z, mpz_srcptr w, mp_bitcnt_t l) + { + if (__GMPXX_CONSTANT(l) && (l == 0)) + { + if (z != w) mpz_set(z, w); + } + else + mpz_fdiv_q_2exp(z, w, l); + } + static void eval(mpq_ptr q, mpq_srcptr r, mp_bitcnt_t l) + { + if (__GMPXX_CONSTANT(l) && (l == 0)) + { + if (q != r) mpq_set(q, r); + } + else + mpq_div_2exp(q, r, l); + } + static void eval(mpf_ptr f, mpf_srcptr g, mp_bitcnt_t l) + { mpf_div_2exp(f, g, l); } +}; + +struct __gmp_binary_multiplies +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_mul(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { +// gcc-3.3 doesn't have __builtin_ctzl. Don't bother optimizing for old gcc. +#if __GMP_GNUC_PREREQ(3, 4) + if (__GMPXX_CONSTANT(l) && (l & (l-1)) == 0) + { + if (l == 0) + { + z->_mp_size = 0; + } + else + { + __gmp_binary_lshift::eval(z, w, __builtin_ctzl(l)); + } + } + else +#endif + mpz_mul_ui(z, w, l); + } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + if (__GMPXX_CONSTANT_TRUE(l >= 0)) + eval(z, w, static_cast(l)); + else if (__GMPXX_CONSTANT_TRUE(l <= 0)) + { + eval(z, w, -static_cast(l)); + mpz_neg(z, z); + } + else + mpz_mul_si (z, w, l); + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_mul (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { eval(z, w, d); } + + static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s) + { mpq_mul(q, r, s); } + + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { +#if __GMP_GNUC_PREREQ(3, 4) + if (__GMPXX_CONSTANT(l) && (l & (l-1)) == 0) + { + if (l == 0) + { + mpq_set_ui(q, 0, 1); + } + else + { + __gmp_binary_lshift::eval(q, r, __builtin_ctzl(l)); + } + } + else +#endif + { + __GMPXX_TMPQ_UI; + mpq_mul (q, r, temp); + } + } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { eval(q, r, l); } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + if (__GMPXX_CONSTANT_TRUE(l >= 0)) + eval(q, r, static_cast(l)); + else if (__GMPXX_CONSTANT_TRUE(l <= 0)) + { + eval(q, r, -static_cast(l)); + mpq_neg(q, q); + } + else + { + __GMPXX_TMPQ_SI; + mpq_mul (q, r, temp); + } + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { eval(q, r, l); } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { __GMPXX_TMPQ_D; mpq_mul (q, r, temp); } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { eval(q, r, d); } + + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { mpf_mul(f, g, h); } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_mul_ui(f, g, l); } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { mpf_mul_ui(f, g, l); } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + if (l >= 0) + mpf_mul_ui(f, g, l); + else + { + mpf_mul_ui(f, g, -static_cast(l)); + mpf_neg(f, f); + } + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { eval(f, g, l); } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_mul(f, g, temp); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { eval(f, g, d); } +}; + +struct __gmp_binary_divides +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_tdiv_q(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { +#if __GMP_GNUC_PREREQ(3, 4) + // Don't optimize division by 0... + if (__GMPXX_CONSTANT(l) && (l & (l-1)) == 0 && l != 0) + { + if (l == 1) + { + if (z != w) mpz_set(z, w); + } + else + mpz_tdiv_q_2exp(z, w, __builtin_ctzl(l)); + // warning: do not use rshift (fdiv) + } + else +#endif + mpz_tdiv_q_ui(z, w, l); + } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { + if (mpz_sgn(w) >= 0) + { + if (mpz_fits_ulong_p(w)) + mpz_set_ui(z, l / mpz_get_ui(w)); + else + mpz_set_ui(z, 0); + } + else + { + mpz_neg(z, w); + if (mpz_fits_ulong_p(z)) + { + mpz_set_ui(z, l / mpz_get_ui(z)); + mpz_neg(z, z); + } + else + mpz_set_ui(z, 0); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + if (l >= 0) + eval(z, w, static_cast(l)); + else + { + eval(z, w, -static_cast(l)); + mpz_neg(z, z); + } + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { + if (mpz_fits_slong_p(w)) + mpz_set_si(z, l / mpz_get_si(w)); + else + { + /* if w is bigger than a long then the quotient must be zero, unless + l==LONG_MIN and w==-LONG_MIN in which case the quotient is -1 */ + mpz_set_si (z, (mpz_cmpabs_ui (w, __gmpxx_abs_ui(l)) == 0 ? -1 : 0)); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_tdiv_q (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { __GMPXX_TMPZ_D; mpz_tdiv_q (z, temp, w); } + + static void eval(mpq_ptr q, mpq_srcptr r, mpq_srcptr s) + { mpq_div(q, r, s); } + + static void eval(mpq_ptr q, mpq_srcptr r, unsigned long int l) + { +#if __GMP_GNUC_PREREQ(3, 4) + if (__GMPXX_CONSTANT(l) && (l & (l-1)) == 0 && l != 0) + __gmp_binary_rshift::eval(q, r, __builtin_ctzl(l)); + else +#endif + { + __GMPXX_TMPQ_UI; + mpq_div (q, r, temp); + } + } + static void eval(mpq_ptr q, unsigned long int l, mpq_srcptr r) + { + if (__GMPXX_CONSTANT_TRUE(l == 0)) + mpq_set_ui(q, 0, 1); + else if (__GMPXX_CONSTANT_TRUE(l == 1)) + mpq_inv(q, r); + else + { + __GMPXX_TMPQ_UI; + mpq_div (q, temp, r); + } + } + static void eval(mpq_ptr q, mpq_srcptr r, signed long int l) + { + if (__GMPXX_CONSTANT_TRUE(l >= 0)) + eval(q, r, static_cast(l)); + else if (__GMPXX_CONSTANT_TRUE(l <= 0)) + { + eval(q, r, -static_cast(l)); + mpq_neg(q, q); + } + else + { + __GMPXX_TMPQ_SI; + mpq_div (q, r, temp); + } + } + static void eval(mpq_ptr q, signed long int l, mpq_srcptr r) + { + if (__GMPXX_CONSTANT_TRUE(l == 0)) + mpq_set_ui(q, 0, 1); + else if (__GMPXX_CONSTANT_TRUE(l == 1)) + mpq_inv(q, r); + else if (__GMPXX_CONSTANT_TRUE(l == -1)) + { + mpq_inv(q, r); + mpq_neg(q, q); + } + else + { + __GMPXX_TMPQ_SI; + mpq_div (q, temp, r); + } + } + static void eval(mpq_ptr q, mpq_srcptr r, double d) + { __GMPXX_TMPQ_D; mpq_div (q, r, temp); } + static void eval(mpq_ptr q, double d, mpq_srcptr r) + { __GMPXX_TMPQ_D; mpq_div (q, temp, r); } + + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { mpf_div(f, g, h); } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { mpf_div_ui(f, g, l); } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { mpf_ui_div(f, l, g); } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { + if (l >= 0) + mpf_div_ui(f, g, l); + else + { + mpf_div_ui(f, g, -static_cast(l)); + mpf_neg(f, f); + } + } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { + if (l >= 0) + mpf_ui_div(f, l, g); + else + { + mpf_ui_div(f, -static_cast(l), g); + mpf_neg(f, f); + } + } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_div(f, g, temp); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { + mpf_t temp; + mpf_init2(temp, 8*sizeof(double)); + mpf_set_d(temp, d); + mpf_div(f, temp, g); + mpf_clear(temp); + } +}; + +struct __gmp_binary_modulus +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_tdiv_r(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_tdiv_r_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { + if (mpz_sgn(w) >= 0) + { + if (mpz_fits_ulong_p(w)) + mpz_set_ui(z, l % mpz_get_ui(w)); + else + mpz_set_ui(z, l); + } + else + { + mpz_neg(z, w); + if (mpz_fits_ulong_p(z)) + mpz_set_ui(z, l % mpz_get_ui(z)); + else + mpz_set_ui(z, l); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { + mpz_tdiv_r_ui (z, w, __gmpxx_abs_ui(l)); + } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { + if (mpz_fits_slong_p(w)) + mpz_set_si(z, l % mpz_get_si(w)); + else + { + /* if w is bigger than a long then the remainder is l unchanged, + unless l==LONG_MIN and w==-LONG_MIN in which case it's 0 */ + mpz_set_si (z, mpz_cmpabs_ui (w, __gmpxx_abs_ui(l)) == 0 ? 0 : l); + } + } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_tdiv_r (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { __GMPXX_TMPZ_D; mpz_tdiv_r (z, temp, w); } +}; + +struct __gmp_binary_and +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_and(z, w, v); } + + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { __GMPXX_TMPZ_UI; mpz_and (z, w, temp); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { __GMPXX_TMPZ_SI; mpz_and (z, w, temp); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_and (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { eval(z, w, d); } +}; + +struct __gmp_binary_ior +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_ior(z, w, v); } + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { __GMPXX_TMPZ_UI; mpz_ior (z, w, temp); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { __GMPXX_TMPZ_SI; mpz_ior (z, w, temp); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_ior (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { eval(z, w, d); } +}; + +struct __gmp_binary_xor +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_xor(z, w, v); } + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { __GMPXX_TMPZ_UI; mpz_xor (z, w, temp); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { __GMPXX_TMPZ_SI; mpz_xor (z, w, temp); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_xor (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { eval(z, w, d); } +}; + +struct __gmp_cmp_function +{ + static int eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w); } + + static int eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l); } + static int eval(unsigned long int l, mpz_srcptr z) + { return -mpz_cmp_ui(z, l); } + static int eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l); } + static int eval(signed long int l, mpz_srcptr z) + { return -mpz_cmp_si(z, l); } + static int eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d); } + static int eval(double d, mpz_srcptr z) + { return -mpz_cmp_d(z, d); } + + static int eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r); } + + static int eval(mpq_srcptr q, unsigned long int l) + { return mpq_cmp_ui(q, l, 1); } + static int eval(unsigned long int l, mpq_srcptr q) + { return -mpq_cmp_ui(q, l, 1); } + static int eval(mpq_srcptr q, signed long int l) + { return mpq_cmp_si(q, l, 1); } + static int eval(signed long int l, mpq_srcptr q) + { return -mpq_cmp_si(q, l, 1); } + static int eval(mpq_srcptr q, double d) + { __GMPXX_TMPQ_D; return mpq_cmp (q, temp); } + static int eval(double d, mpq_srcptr q) + { __GMPXX_TMPQ_D; return mpq_cmp (temp, q); } + static int eval(mpq_srcptr q, mpz_srcptr z) + { return mpq_cmp_z(q, z); } + static int eval(mpz_srcptr z, mpq_srcptr q) + { return -mpq_cmp_z(q, z); } + + static int eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g); } + + static int eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l); } + static int eval(unsigned long int l, mpf_srcptr f) + { return -mpf_cmp_ui(f, l); } + static int eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l); } + static int eval(signed long int l, mpf_srcptr f) + { return -mpf_cmp_si(f, l); } + static int eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d); } + static int eval(double d, mpf_srcptr f) + { return -mpf_cmp_d(f, d); } + static int eval(mpf_srcptr f, mpz_srcptr z) + { return mpf_cmp_z(f, z); } + static int eval(mpz_srcptr z, mpf_srcptr f) + { return -mpf_cmp_z(f, z); } + static int eval(mpf_srcptr f, mpq_srcptr q) + { + mpf_t qf; + mpf_init(qf); /* Should we use the precision of f? */ + mpf_set_q(qf, q); + int ret = eval(f, qf); + mpf_clear(qf); + return ret; + } + static int eval(mpq_srcptr q, mpf_srcptr f) + { return -eval(f, q); } +}; + +struct __gmp_binary_equal +{ + static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) == 0; } + + static bool eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l) == 0; } + static bool eval(unsigned long int l, mpz_srcptr z) + { return eval(z, l); } + static bool eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l) == 0; } + static bool eval(signed long int l, mpz_srcptr z) + { return eval(z, l); } + static bool eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d) == 0; } + static bool eval(double d, mpz_srcptr z) + { return eval(z, d); } + + static bool eval(mpq_srcptr q, mpq_srcptr r) + { return mpq_equal(q, r) != 0; } + + static bool eval(mpq_srcptr q, unsigned long int l) + { return ((__GMPXX_CONSTANT(l) && l == 0) || + mpz_cmp_ui(mpq_denref(q), 1) == 0) && + mpz_cmp_ui(mpq_numref(q), l) == 0; } + static bool eval(unsigned long int l, mpq_srcptr q) + { return eval(q, l); } + static bool eval(mpq_srcptr q, signed long int l) + { return ((__GMPXX_CONSTANT(l) && l == 0) || + mpz_cmp_ui(mpq_denref(q), 1) == 0) && + mpz_cmp_si(mpq_numref(q), l) == 0; } + static bool eval(signed long int l, mpq_srcptr q) + { return eval(q, l); } + static bool eval(mpq_srcptr q, double d) + { __GMPXX_TMPQ_D; return mpq_equal (q, temp) != 0; } + static bool eval(double d, mpq_srcptr q) + { return eval(q, d); } + static bool eval(mpq_srcptr q, mpz_srcptr z) + { return mpz_cmp_ui(mpq_denref(q), 1) == 0 && mpz_cmp(mpq_numref(q), z) == 0; } + static bool eval(mpz_srcptr z, mpq_srcptr q) + { return eval(q, z); } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) == 0; } + + static bool eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l) == 0; } + static bool eval(unsigned long int l, mpf_srcptr f) + { return eval(f, l); } + static bool eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l) == 0; } + static bool eval(signed long int l, mpf_srcptr f) + { return eval(f, l); } + static bool eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d) == 0; } + static bool eval(double d, mpf_srcptr f) + { return eval(f, d); } + static bool eval(mpf_srcptr f, mpz_srcptr z) + { return mpf_cmp_z(f, z) == 0; } + static bool eval(mpz_srcptr z, mpf_srcptr f) + { return eval(f, z); } + static bool eval(mpf_srcptr f, mpq_srcptr q) + { return __gmp_cmp_function::eval(f, q) == 0; } + static bool eval(mpq_srcptr q, mpf_srcptr f) + { return eval(f, q); } +}; + +struct __gmp_binary_less +{ + static bool eval(mpz_srcptr z, mpz_srcptr w) { return mpz_cmp(z, w) < 0; } + + static bool eval(mpz_srcptr z, unsigned long int l) + { return mpz_cmp_ui(z, l) < 0; } + static bool eval(unsigned long int l, mpz_srcptr z) + { return mpz_cmp_ui(z, l) > 0; } + static bool eval(mpz_srcptr z, signed long int l) + { return mpz_cmp_si(z, l) < 0; } + static bool eval(signed long int l, mpz_srcptr z) + { return mpz_cmp_si(z, l) > 0; } + static bool eval(mpz_srcptr z, double d) + { return mpz_cmp_d(z, d) < 0; } + static bool eval(double d, mpz_srcptr z) + { return mpz_cmp_d(z, d) > 0; } + + static bool eval(mpq_srcptr q, mpq_srcptr r) { return mpq_cmp(q, r) < 0; } + + static bool eval(mpq_srcptr q, unsigned long int l) + { return mpq_cmp_ui(q, l, 1) < 0; } + static bool eval(unsigned long int l, mpq_srcptr q) + { return mpq_cmp_ui(q, l, 1) > 0; } + static bool eval(mpq_srcptr q, signed long int l) + { return mpq_cmp_si(q, l, 1) < 0; } + static bool eval(signed long int l, mpq_srcptr q) + { return mpq_cmp_si(q, l, 1) > 0; } + static bool eval(mpq_srcptr q, double d) + { __GMPXX_TMPQ_D; return mpq_cmp (q, temp) < 0; } + static bool eval(double d, mpq_srcptr q) + { __GMPXX_TMPQ_D; return mpq_cmp (temp, q) < 0; } + static bool eval(mpq_srcptr q, mpz_srcptr z) + { return mpq_cmp_z(q, z) < 0; } + static bool eval(mpz_srcptr z, mpq_srcptr q) + { return mpq_cmp_z(q, z) > 0; } + + static bool eval(mpf_srcptr f, mpf_srcptr g) { return mpf_cmp(f, g) < 0; } + + static bool eval(mpf_srcptr f, unsigned long int l) + { return mpf_cmp_ui(f, l) < 0; } + static bool eval(unsigned long int l, mpf_srcptr f) + { return mpf_cmp_ui(f, l) > 0; } + static bool eval(mpf_srcptr f, signed long int l) + { return mpf_cmp_si(f, l) < 0; } + static bool eval(signed long int l, mpf_srcptr f) + { return mpf_cmp_si(f, l) > 0; } + static bool eval(mpf_srcptr f, double d) + { return mpf_cmp_d(f, d) < 0; } + static bool eval(double d, mpf_srcptr f) + { return mpf_cmp_d(f, d) > 0; } + static bool eval(mpf_srcptr f, mpz_srcptr z) + { return mpf_cmp_z(f, z) < 0; } + static bool eval(mpz_srcptr z, mpf_srcptr f) + { return mpf_cmp_z(f, z) > 0; } + static bool eval(mpf_srcptr f, mpq_srcptr q) + { return __gmp_cmp_function::eval(f, q) < 0; } + static bool eval(mpq_srcptr q, mpf_srcptr f) + { return __gmp_cmp_function::eval(q, f) < 0; } +}; + +struct __gmp_binary_greater +{ + template + static inline bool eval(T t, U u) { return __gmp_binary_less::eval(u, t); } +}; + +struct __gmp_unary_increment +{ + static void eval(mpz_ptr z) { mpz_add_ui(z, z, 1); } + static void eval(mpq_ptr q) + { mpz_add(mpq_numref(q), mpq_numref(q), mpq_denref(q)); } + static void eval(mpf_ptr f) { mpf_add_ui(f, f, 1); } +}; + +struct __gmp_unary_decrement +{ + static void eval(mpz_ptr z) { mpz_sub_ui(z, z, 1); } + static void eval(mpq_ptr q) + { mpz_sub(mpq_numref(q), mpq_numref(q), mpq_denref(q)); } + static void eval(mpf_ptr f) { mpf_sub_ui(f, f, 1); } +}; + +struct __gmp_abs_function +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_abs(z, w); } + static void eval(mpq_ptr q, mpq_srcptr r) { mpq_abs(q, r); } + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_abs(f, g); } +}; + +struct __gmp_trunc_function +{ + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_trunc(f, g); } +}; + +struct __gmp_floor_function +{ + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_floor(f, g); } +}; + +struct __gmp_ceil_function +{ + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_ceil(f, g); } +}; + +struct __gmp_sqrt_function +{ + static void eval(mpz_ptr z, mpz_srcptr w) { mpz_sqrt(z, w); } + static void eval(mpf_ptr f, mpf_srcptr g) { mpf_sqrt(f, g); } +}; + +struct __gmp_hypot_function +{ + static void eval(mpf_ptr f, mpf_srcptr g, mpf_srcptr h) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_mul(f, h, h); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + + static void eval(mpf_ptr f, mpf_srcptr g, unsigned long int l) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_ui(f, l); + mpf_mul_ui(f, f, l); + mpf_add(f, f, temp); + mpf_clear(temp); + mpf_sqrt(f, f); + } + static void eval(mpf_ptr f, unsigned long int l, mpf_srcptr g) + { eval(f, g, l); } + static void eval(mpf_ptr f, mpf_srcptr g, signed long int l) + { eval(f, g, __gmpxx_abs_ui(l)); } + static void eval(mpf_ptr f, signed long int l, mpf_srcptr g) + { eval(f, g, l); } + static void eval(mpf_ptr f, mpf_srcptr g, double d) + { + mpf_t temp; + mpf_init2(temp, mpf_get_prec(f)); + mpf_mul(temp, g, g); + mpf_set_d(f, d); + mpf_mul(f, f, f); + mpf_add(f, f, temp); + mpf_sqrt(f, f); + mpf_clear(temp); + } + static void eval(mpf_ptr f, double d, mpf_srcptr g) + { eval(f, g, d); } +}; + +struct __gmp_sgn_function +{ + static int eval(mpz_srcptr z) { return mpz_sgn(z); } + static int eval(mpq_srcptr q) { return mpq_sgn(q); } + static int eval(mpf_srcptr f) { return mpf_sgn(f); } +}; + +struct __gmp_gcd_function +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_gcd(z, w, v); } + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_gcd_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { eval(z, w, __gmpxx_abs_ui(l)); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_gcd (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { eval(z, w, d); } +}; + +struct __gmp_lcm_function +{ + static void eval(mpz_ptr z, mpz_srcptr w, mpz_srcptr v) + { mpz_lcm(z, w, v); } + static void eval(mpz_ptr z, mpz_srcptr w, unsigned long int l) + { mpz_lcm_ui(z, w, l); } + static void eval(mpz_ptr z, unsigned long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, signed long int l) + { eval(z, w, __gmpxx_abs_ui(l)); } + static void eval(mpz_ptr z, signed long int l, mpz_srcptr w) + { eval(z, w, l); } + static void eval(mpz_ptr z, mpz_srcptr w, double d) + { __GMPXX_TMPZ_D; mpz_lcm (z, w, temp); } + static void eval(mpz_ptr z, double d, mpz_srcptr w) + { eval(z, w, d); } +}; + +struct __gmp_rand_function +{ + static void eval(mpz_ptr z, gmp_randstate_t s, mp_bitcnt_t l) + { mpz_urandomb(z, s, l); } + static void eval(mpz_ptr z, gmp_randstate_t s, mpz_srcptr w) + { mpz_urandomm(z, s, w); } + static void eval(mpf_ptr f, gmp_randstate_t s, mp_bitcnt_t prec) + { mpf_urandomb(f, s, prec); } +}; + +struct __gmp_fac_function +{ + static void eval(mpz_ptr z, unsigned long l) { mpz_fac_ui(z, l); } + static void eval(mpz_ptr z, signed long l) + { + if (l < 0) + throw std::domain_error ("factorial(negative)"); + eval(z, static_cast(l)); + } + static void eval(mpz_ptr z, mpz_srcptr w) + { + if (!mpz_fits_ulong_p(w)) + { + if (mpz_sgn(w) < 0) + throw std::domain_error ("factorial(negative)"); + else + throw std::bad_alloc(); // or std::overflow_error ("factorial")? + } + eval(z, mpz_get_ui(w)); + } + static void eval(mpz_ptr z, double d) + { __GMPXX_TMPZ_D; eval (z, temp); } +}; + +struct __gmp_primorial_function +{ + static void eval(mpz_ptr z, unsigned long l) { mpz_primorial_ui(z, l); } + static void eval(mpz_ptr z, signed long l) + { + if (l < 0) + throw std::domain_error ("primorial(negative)"); + eval(z, static_cast(l)); + } + static void eval(mpz_ptr z, mpz_srcptr w) + { + if (!mpz_fits_ulong_p(w)) + { + if (mpz_sgn(w) < 0) + throw std::domain_error ("primorial(negative)"); + else + throw std::bad_alloc(); // or std::overflow_error ("primorial")? + } + eval(z, mpz_get_ui(w)); + } + static void eval(mpz_ptr z, double d) + { __GMPXX_TMPZ_D; eval (z, temp); } +}; + +struct __gmp_fib_function +{ + static void eval(mpz_ptr z, unsigned long l) { mpz_fib_ui(z, l); } + static void eval(mpz_ptr z, signed long l) + { + if (l < 0) + { + eval(z, -static_cast(l)); + if ((l & 1) == 0) + mpz_neg(z, z); + } + else + eval(z, static_cast(l)); + } + static void eval(mpz_ptr z, mpz_srcptr w) + { + if (!mpz_fits_slong_p(w)) + throw std::bad_alloc(); // or std::overflow_error ("fibonacci")? + eval(z, mpz_get_si(w)); + } + static void eval(mpz_ptr z, double d) + { __GMPXX_TMPZ_D; eval (z, temp); } +}; + + +/**************** Auxiliary classes ****************/ + +/* this is much the same as gmp_allocated_string in gmp-impl.h + since gmp-impl.h is not publicly available, I redefine it here + I use a different name to avoid possible clashes */ + +extern "C" { + typedef void (*__gmp_freefunc_t) (void *, size_t); +} +struct __gmp_alloc_cstring +{ + char *str; + __gmp_alloc_cstring(char *s) { str = s; } + ~__gmp_alloc_cstring() + { + __gmp_freefunc_t freefunc; + mp_get_memory_functions (NULL, NULL, &freefunc); + (*freefunc) (str, std::strlen(str)+1); + } +}; + + +// general expression template class +template +class __gmp_expr; + + +// templates for resolving expression types +template +struct __gmp_resolve_ref +{ + typedef T ref_type; +}; + +template +struct __gmp_resolve_ref<__gmp_expr > +{ + typedef const __gmp_expr & ref_type; +}; + + +template +struct __gmp_resolve_expr; + +template <> +struct __gmp_resolve_expr +{ + typedef mpz_t value_type; + typedef mpz_ptr ptr_type; + typedef mpz_srcptr srcptr_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpq_t value_type; + typedef mpq_ptr ptr_type; + typedef mpq_srcptr srcptr_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; + typedef mpf_ptr ptr_type; + typedef mpf_srcptr srcptr_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpq_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpq_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; +}; + +template <> +struct __gmp_resolve_expr +{ + typedef mpf_t value_type; +}; + +#if __GMPXX_USE_CXX11 +namespace std { + template + struct common_type <__gmp_expr, __gmp_expr > + { + private: + typedef typename __gmp_resolve_expr::value_type X; + public: + typedef __gmp_expr type; + }; + + template + struct common_type <__gmp_expr > + { + typedef __gmp_expr type; + }; + +#define __GMPXX_DECLARE_COMMON_TYPE(typ) \ + template \ + struct common_type <__gmp_expr, typ > \ + { \ + typedef __gmp_expr type; \ + }; \ + \ + template \ + struct common_type > \ + { \ + typedef __gmp_expr type; \ + } + + __GMPXX_DECLARE_COMMON_TYPE(signed char); + __GMPXX_DECLARE_COMMON_TYPE(unsigned char); + __GMPXX_DECLARE_COMMON_TYPE(signed int); + __GMPXX_DECLARE_COMMON_TYPE(unsigned int); + __GMPXX_DECLARE_COMMON_TYPE(signed short int); + __GMPXX_DECLARE_COMMON_TYPE(unsigned short int); + __GMPXX_DECLARE_COMMON_TYPE(signed long int); + __GMPXX_DECLARE_COMMON_TYPE(unsigned long int); + __GMPXX_DECLARE_COMMON_TYPE(float); + __GMPXX_DECLARE_COMMON_TYPE(double); +#undef __GMPXX_DECLARE_COMMON_TYPE +} +#endif + +// classes for evaluating unary and binary expressions +template +struct __gmp_unary_expr +{ + typename __gmp_resolve_ref::ref_type val; + + __gmp_unary_expr(const T &v) : val(v) { } +private: + __gmp_unary_expr(); +}; + +template +struct __gmp_binary_expr +{ + typename __gmp_resolve_ref::ref_type val1; + typename __gmp_resolve_ref::ref_type val2; + + __gmp_binary_expr(const T &v1, const U &v2) : val1(v1), val2(v2) { } +private: + __gmp_binary_expr(); +}; + + + +/**************** Macros for in-class declarations ****************/ +/* This is just repetitive code that is easier to maintain if it's written + only once */ + +#define __GMPP_DECLARE_COMPOUND_OPERATOR(fun) \ + template \ + __gmp_expr & fun(const __gmp_expr &); + +#define __GMPN_DECLARE_COMPOUND_OPERATOR(fun) \ + __gmp_expr & fun(signed char); \ + __gmp_expr & fun(unsigned char); \ + __gmp_expr & fun(signed int); \ + __gmp_expr & fun(unsigned int); \ + __gmp_expr & fun(signed short int); \ + __gmp_expr & fun(unsigned short int); \ + __gmp_expr & fun(signed long int); \ + __gmp_expr & fun(unsigned long int); \ + __gmp_expr & fun(float); \ + __gmp_expr & fun(double); \ + /* __gmp_expr & fun(long double); */ + +#define __GMP_DECLARE_COMPOUND_OPERATOR(fun) \ +__GMPP_DECLARE_COMPOUND_OPERATOR(fun) \ +__GMPN_DECLARE_COMPOUND_OPERATOR(fun) + +#define __GMP_DECLARE_COMPOUND_OPERATOR_UI(fun) \ + __gmp_expr & fun(mp_bitcnt_t); + +#define __GMP_DECLARE_INCREMENT_OPERATOR(fun) \ + inline __gmp_expr & fun(); \ + inline __gmp_expr fun(int); + +#define __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS \ + __gmp_expr(signed char c) { init_si(c); } \ + __gmp_expr(unsigned char c) { init_ui(c); } \ + __gmp_expr(signed int i) { init_si(i); } \ + __gmp_expr(unsigned int i) { init_ui(i); } \ + __gmp_expr(signed short int s) { init_si(s); } \ + __gmp_expr(unsigned short int s) { init_ui(s); } \ + __gmp_expr(signed long int l) { init_si(l); } \ + __gmp_expr(unsigned long int l) { init_ui(l); } \ + __gmp_expr(float f) { init_d(f); } \ + __gmp_expr(double d) { init_d(d); } + +#define __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS \ + __gmp_expr & operator=(signed char c) { assign_si(c); return *this; } \ + __gmp_expr & operator=(unsigned char c) { assign_ui(c); return *this; } \ + __gmp_expr & operator=(signed int i) { assign_si(i); return *this; } \ + __gmp_expr & operator=(unsigned int i) { assign_ui(i); return *this; } \ + __gmp_expr & operator=(signed short int s) { assign_si(s); return *this; } \ + __gmp_expr & operator=(unsigned short int s) { assign_ui(s); return *this; } \ + __gmp_expr & operator=(signed long int l) { assign_si(l); return *this; } \ + __gmp_expr & operator=(unsigned long int l) { assign_ui(l); return *this; } \ + __gmp_expr & operator=(float f) { assign_d(f); return *this; } \ + __gmp_expr & operator=(double d) { assign_d(d); return *this; } + +#define __GMPP_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \ +template \ +static __gmp_expr, eval_fun> > \ +fun(const __gmp_expr &expr); + +#define __GMPNN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, bigtype) \ +static inline __gmp_expr > \ +fun(type expr); + +#define __GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \ +__GMPNN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, signed long) +#define __GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \ +__GMPNN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, unsigned long) +#define __GMPND_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \ +__GMPNN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, double) + +#define __GMPN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \ +__GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed char) \ +__GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned char) \ +__GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed int) \ +__GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned int) \ +__GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed short int) \ +__GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned short int) \ +__GMPNS_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed long int) \ +__GMPNU_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned long int) \ +__GMPND_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, float) \ +__GMPND_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, double) + +#define __GMP_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \ +__GMPP_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \ +__GMPN_DECLARE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) + +/**************** mpz_class -- wrapper for mpz_t ****************/ + +template <> +class __gmp_expr +{ +private: + typedef mpz_t value_type; + value_type mp; + + // Helper functions used for all arithmetic types + void assign_ui(unsigned long l) + { + if (__GMPXX_CONSTANT_TRUE(l == 0)) + __get_mp()->_mp_size = 0; + else + mpz_set_ui(mp, l); + } + void assign_si(signed long l) + { + if (__GMPXX_CONSTANT_TRUE(l >= 0)) + assign_ui(l); + else if (__GMPXX_CONSTANT_TRUE(l <= 0)) + { + assign_ui(-static_cast(l)); + mpz_neg(mp, mp); + } + else + mpz_set_si(mp, l); + } + void assign_d (double d) + { + mpz_set_d (mp, d); + } + + void init_ui(unsigned long l) + { + if (__GMPXX_CONSTANT_TRUE(l == 0)) + mpz_init(mp); + else + mpz_init_set_ui(mp, l); + } + void init_si(signed long l) + { + if (__GMPXX_CONSTANT_TRUE(l >= 0)) + init_ui(l); + else if (__GMPXX_CONSTANT_TRUE(l <= 0)) + { + init_ui(-static_cast(l)); + mpz_neg(mp, mp); + } + else + mpz_init_set_si(mp, l); + } + void init_d (double d) + { + mpz_init_set_d (mp, d); + } + +public: + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } + + // constructors and destructor + __gmp_expr() __GMPXX_NOEXCEPT { mpz_init(mp); } + + __gmp_expr(const __gmp_expr &z) { mpz_init_set(mp, z.mp); } +#if __GMPXX_USE_CXX11 + __gmp_expr(__gmp_expr &&z) noexcept + { *__get_mp() = *z.__get_mp(); mpz_init(z.mp); } +#endif + template + __gmp_expr(const __gmp_expr &expr) + { mpz_init(mp); __gmp_set_expr(mp, expr); } + template + explicit __gmp_expr(const __gmp_expr &expr) + { mpz_init(mp); __gmp_set_expr(mp, expr); } + + __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS + + explicit __gmp_expr(const char *s, int base = 0) + { + if (mpz_init_set_str (mp, s, base) != 0) + { + mpz_clear (mp); + throw std::invalid_argument ("mpz_set_str"); + } + } + explicit __gmp_expr(const std::string &s, int base = 0) + { + if (mpz_init_set_str(mp, s.c_str(), base) != 0) + { + mpz_clear (mp); + throw std::invalid_argument ("mpz_set_str"); + } + } + + explicit __gmp_expr(mpz_srcptr z) { mpz_init_set(mp, z); } + + ~__gmp_expr() { mpz_clear(mp); } + + void swap(__gmp_expr& z) __GMPXX_NOEXCEPT + { std::swap(*__get_mp(), *z.__get_mp()); } + + // assignment operators + __gmp_expr & operator=(const __gmp_expr &z) + { mpz_set(mp, z.mp); return *this; } +#if __GMPXX_USE_CXX11 + __gmp_expr & operator=(__gmp_expr &&z) noexcept + { swap(z); return *this; } +#endif + template + __gmp_expr & operator=(const __gmp_expr &expr) + { __gmp_set_expr(mp, expr); return *this; } + + __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS + + __gmp_expr & operator=(const char *s) + { + if (mpz_set_str (mp, s, 0) != 0) + throw std::invalid_argument ("mpz_set_str"); + return *this; + } + __gmp_expr & operator=(const std::string &s) + { + if (mpz_set_str(mp, s.c_str(), 0) != 0) + throw std::invalid_argument ("mpz_set_str"); + return *this; + } + + // string input/output functions + int set_str(const char *s, int base) + { return mpz_set_str(mp, s, base); } + int set_str(const std::string &s, int base) + { return mpz_set_str(mp, s.c_str(), base); } + std::string get_str(int base = 10) const + { + __gmp_alloc_cstring temp(mpz_get_str(0, base, mp)); + return std::string(temp.str); + } + + // conversion functions + mpz_srcptr __get_mp() const { return mp; } + mpz_ptr __get_mp() { return mp; } + mpz_srcptr get_mpz_t() const { return mp; } + mpz_ptr get_mpz_t() { return mp; } + + signed long int get_si() const { return mpz_get_si(mp); } + unsigned long int get_ui() const { return mpz_get_ui(mp); } + double get_d() const { return mpz_get_d(mp); } + + // bool fits_schar_p() const { return mpz_fits_schar_p(mp); } + // bool fits_uchar_p() const { return mpz_fits_uchar_p(mp); } + bool fits_sint_p() const { return mpz_fits_sint_p(mp); } + bool fits_uint_p() const { return mpz_fits_uint_p(mp); } + bool fits_sshort_p() const { return mpz_fits_sshort_p(mp); } + bool fits_ushort_p() const { return mpz_fits_ushort_p(mp); } + bool fits_slong_p() const { return mpz_fits_slong_p(mp); } + bool fits_ulong_p() const { return mpz_fits_ulong_p(mp); } + // bool fits_float_p() const { return mpz_fits_float_p(mp); } + // bool fits_double_p() const { return mpz_fits_double_p(mp); } + // bool fits_ldouble_p() const { return mpz_fits_ldouble_p(mp); } + +#if __GMPXX_USE_CXX11 + explicit operator bool() const { return __get_mp()->_mp_size != 0; } +#endif + + // member operators + __GMP_DECLARE_COMPOUND_OPERATOR(operator+=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator-=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator*=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator/=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator%=) + + __GMP_DECLARE_COMPOUND_OPERATOR(operator&=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator|=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator^=) + + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=) + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=) + + __GMP_DECLARE_INCREMENT_OPERATOR(operator++) + __GMP_DECLARE_INCREMENT_OPERATOR(operator--) + + __GMP_DECLARE_UNARY_STATIC_MEMFUN(mpz_t, factorial, __gmp_fac_function) + __GMP_DECLARE_UNARY_STATIC_MEMFUN(mpz_t, primorial, __gmp_primorial_function) + __GMP_DECLARE_UNARY_STATIC_MEMFUN(mpz_t, fibonacci, __gmp_fib_function) +}; + +typedef __gmp_expr mpz_class; + + +/**************** mpq_class -- wrapper for mpq_t ****************/ + +template <> +class __gmp_expr +{ +private: + typedef mpq_t value_type; + value_type mp; + + // Helper functions used for all arithmetic types + void assign_ui(unsigned long l) { mpq_set_ui(mp, l, 1); } + void assign_si(signed long l) + { + if (__GMPXX_CONSTANT_TRUE(l >= 0)) + assign_ui(l); + else + mpq_set_si(mp, l, 1); + } + void assign_d (double d) { mpq_set_d (mp, d); } + + void init_ui(unsigned long l) { mpq_init(mp); get_num() = l; } + void init_si(signed long l) { mpq_init(mp); get_num() = l; } + void init_d (double d) { mpq_init(mp); assign_d (d); } + +public: + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } + void canonicalize() { mpq_canonicalize(mp); } + + // constructors and destructor + __gmp_expr() { mpq_init(mp); } + + __gmp_expr(const __gmp_expr &q) + { + mpz_init_set(mpq_numref(mp), mpq_numref(q.mp)); + mpz_init_set(mpq_denref(mp), mpq_denref(q.mp)); + } +#if __GMPXX_USE_CXX11 + __gmp_expr(__gmp_expr &&q) + { *mp = *q.mp; mpq_init(q.mp); } + __gmp_expr(mpz_class &&z) + { + *mpq_numref(mp) = *z.get_mpz_t(); + mpz_init_set_ui(mpq_denref(mp), 1); + mpz_init(z.get_mpz_t()); + } +#endif + template + __gmp_expr(const __gmp_expr &expr) + { mpq_init(mp); __gmp_set_expr(mp, expr); } + template + __gmp_expr(const __gmp_expr &expr) + { mpq_init(mp); __gmp_set_expr(mp, expr); } + template + explicit __gmp_expr(const __gmp_expr &expr) + { mpq_init(mp); __gmp_set_expr(mp, expr); } + + __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS + + explicit __gmp_expr(const char *s, int base = 0) + { + mpq_init (mp); + // If s is the literal 0, we meant to call another constructor. + // If s just happens to evaluate to 0, we would crash, so whatever. + if (s == 0) + { + // Don't turn mpq_class(0,0) into 0 + mpz_set_si(mpq_denref(mp), base); + } + else if (mpq_set_str(mp, s, base) != 0) + { + mpq_clear (mp); + throw std::invalid_argument ("mpq_set_str"); + } + } + explicit __gmp_expr(const std::string &s, int base = 0) + { + mpq_init(mp); + if (mpq_set_str (mp, s.c_str(), base) != 0) + { + mpq_clear (mp); + throw std::invalid_argument ("mpq_set_str"); + } + } + explicit __gmp_expr(mpq_srcptr q) + { + mpz_init_set(mpq_numref(mp), mpq_numref(q)); + mpz_init_set(mpq_denref(mp), mpq_denref(q)); + } + + __gmp_expr(const mpz_class &num, const mpz_class &den) + { + mpz_init_set(mpq_numref(mp), num.get_mpz_t()); + mpz_init_set(mpq_denref(mp), den.get_mpz_t()); + } + + ~__gmp_expr() { mpq_clear(mp); } + + void swap(__gmp_expr& q) __GMPXX_NOEXCEPT { std::swap(*mp, *q.mp); } + + // assignment operators + __gmp_expr & operator=(const __gmp_expr &q) + { mpq_set(mp, q.mp); return *this; } +#if __GMPXX_USE_CXX11 + __gmp_expr & operator=(__gmp_expr &&q) noexcept + { swap(q); return *this; } + __gmp_expr & operator=(mpz_class &&z) noexcept + { get_num() = std::move(z); get_den() = 1u; return *this; } +#endif + template + __gmp_expr & operator=(const __gmp_expr &expr) + { __gmp_set_expr(mp, expr); return *this; } + + __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS + + __gmp_expr & operator=(const char *s) + { + if (mpq_set_str (mp, s, 0) != 0) + throw std::invalid_argument ("mpq_set_str"); + return *this; + } + __gmp_expr & operator=(const std::string &s) + { + if (mpq_set_str(mp, s.c_str(), 0) != 0) + throw std::invalid_argument ("mpq_set_str"); + return *this; + } + + // string input/output functions + int set_str(const char *s, int base) + { return mpq_set_str(mp, s, base); } + int set_str(const std::string &s, int base) + { return mpq_set_str(mp, s.c_str(), base); } + std::string get_str(int base = 10) const + { + __gmp_alloc_cstring temp(mpq_get_str(0, base, mp)); + return std::string(temp.str); + } + + // conversion functions + + // casting a reference to an mpz_t to mpz_class & is a dirty hack. + // It kind of works because the internal representation of mpz_class is + // exactly an mpz_t, but compilers are allowed to assume that mpq_class + // and mpz_class do not alias... In mpz_class, we avoid using mp directly, + // to reduce the risks of such problematic optimizations. + const mpz_class & get_num() const + { return reinterpret_cast(*mpq_numref(mp)); } + mpz_class & get_num() + { return reinterpret_cast(*mpq_numref(mp)); } + const mpz_class & get_den() const + { return reinterpret_cast(*mpq_denref(mp)); } + mpz_class & get_den() + { return reinterpret_cast(*mpq_denref(mp)); } + + mpq_srcptr __get_mp() const { return mp; } + mpq_ptr __get_mp() { return mp; } + mpq_srcptr get_mpq_t() const { return mp; } + mpq_ptr get_mpq_t() { return mp; } + + mpz_srcptr get_num_mpz_t() const { return mpq_numref(mp); } + mpz_ptr get_num_mpz_t() { return mpq_numref(mp); } + mpz_srcptr get_den_mpz_t() const { return mpq_denref(mp); } + mpz_ptr get_den_mpz_t() { return mpq_denref(mp); } + + double get_d() const { return mpq_get_d(mp); } + +#if __GMPXX_USE_CXX11 + explicit operator bool() const { return mpq_numref(mp)->_mp_size != 0; } +#endif + + // compound assignments + __GMP_DECLARE_COMPOUND_OPERATOR(operator+=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator-=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator*=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator/=) + + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=) + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=) + + __GMP_DECLARE_INCREMENT_OPERATOR(operator++) + __GMP_DECLARE_INCREMENT_OPERATOR(operator--) +}; + +typedef __gmp_expr mpq_class; + + +/**************** mpf_class -- wrapper for mpf_t ****************/ + +template <> +class __gmp_expr +{ +private: + typedef mpf_t value_type; + value_type mp; + + // Helper functions used for all arithmetic types + void assign_ui(unsigned long l) { mpf_set_ui(mp, l); } + void assign_si(signed long l) + { + if (__GMPXX_CONSTANT_TRUE(l >= 0)) + assign_ui(l); + else + mpf_set_si(mp, l); + } + void assign_d (double d) { mpf_set_d (mp, d); } + + void init_ui(unsigned long l) + { + if (__GMPXX_CONSTANT_TRUE(l == 0)) + mpf_init(mp); + else + mpf_init_set_ui(mp, l); + } + void init_si(signed long l) + { + if (__GMPXX_CONSTANT_TRUE(l >= 0)) + init_ui(l); + else + mpf_init_set_si(mp, l); + } + void init_d (double d) { mpf_init_set_d (mp, d); } + +public: + mp_bitcnt_t get_prec() const { return mpf_get_prec(mp); } + + void set_prec(mp_bitcnt_t prec) { mpf_set_prec(mp, prec); } + void set_prec_raw(mp_bitcnt_t prec) { mpf_set_prec_raw(mp, prec); } + + // constructors and destructor + __gmp_expr() { mpf_init(mp); } + + __gmp_expr(const __gmp_expr &f) + { mpf_init2(mp, f.get_prec()); mpf_set(mp, f.mp); } +#if __GMPXX_USE_CXX11 + __gmp_expr(__gmp_expr &&f) + { *mp = *f.mp; mpf_init2(f.mp, get_prec()); } +#endif + __gmp_expr(const __gmp_expr &f, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set(mp, f.mp); } + template + __gmp_expr(const __gmp_expr &expr) + { mpf_init2(mp, expr.get_prec()); __gmp_set_expr(mp, expr); } + template + __gmp_expr(const __gmp_expr &expr, mp_bitcnt_t prec) + { mpf_init2(mp, prec); __gmp_set_expr(mp, expr); } + + __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS + + __gmp_expr(signed char c, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_si(mp, c); } + __gmp_expr(unsigned char c, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, c); } + + __gmp_expr(signed int i, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_si(mp, i); } + __gmp_expr(unsigned int i, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, i); } + + __gmp_expr(signed short int s, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_si(mp, s); } + __gmp_expr(unsigned short int s, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, s); } + + __gmp_expr(signed long int l, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_si(mp, l); } + __gmp_expr(unsigned long int l, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_ui(mp, l); } + + __gmp_expr(float f, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_d(mp, f); } + __gmp_expr(double d, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set_d(mp, d); } + // __gmp_expr(long double ld) { mpf_init_set_d(mp, ld); } + // __gmp_expr(long double ld, mp_bitcnt_t prec) + // { mpf_init2(mp, prec); mpf_set_d(mp, ld); } + + explicit __gmp_expr(const char *s) + { + if (mpf_init_set_str (mp, s, 0) != 0) + { + mpf_clear (mp); + throw std::invalid_argument ("mpf_set_str"); + } + } + __gmp_expr(const char *s, mp_bitcnt_t prec, int base = 0) + { + mpf_init2(mp, prec); + if (mpf_set_str(mp, s, base) != 0) + { + mpf_clear (mp); + throw std::invalid_argument ("mpf_set_str"); + } + } + explicit __gmp_expr(const std::string &s) + { + if (mpf_init_set_str(mp, s.c_str(), 0) != 0) + { + mpf_clear (mp); + throw std::invalid_argument ("mpf_set_str"); + } + } + __gmp_expr(const std::string &s, mp_bitcnt_t prec, int base = 0) + { + mpf_init2(mp, prec); + if (mpf_set_str(mp, s.c_str(), base) != 0) + { + mpf_clear (mp); + throw std::invalid_argument ("mpf_set_str"); + } + } + + explicit __gmp_expr(mpf_srcptr f) + { mpf_init2(mp, mpf_get_prec(f)); mpf_set(mp, f); } + __gmp_expr(mpf_srcptr f, mp_bitcnt_t prec) + { mpf_init2(mp, prec); mpf_set(mp, f); } + + ~__gmp_expr() { mpf_clear(mp); } + + void swap(__gmp_expr& f) __GMPXX_NOEXCEPT { std::swap(*mp, *f.mp); } + + // assignment operators + __gmp_expr & operator=(const __gmp_expr &f) + { mpf_set(mp, f.mp); return *this; } +#if __GMPXX_USE_CXX11 + __gmp_expr & operator=(__gmp_expr &&f) noexcept + { swap(f); return *this; } +#endif + template + __gmp_expr & operator=(const __gmp_expr &expr) + { __gmp_set_expr(mp, expr); return *this; } + + __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS + + __gmp_expr & operator=(const char *s) + { + if (mpf_set_str (mp, s, 0) != 0) + throw std::invalid_argument ("mpf_set_str"); + return *this; + } + __gmp_expr & operator=(const std::string &s) + { + if (mpf_set_str(mp, s.c_str(), 0) != 0) + throw std::invalid_argument ("mpf_set_str"); + return *this; + } + + // string input/output functions + int set_str(const char *s, int base) + { return mpf_set_str(mp, s, base); } + int set_str(const std::string &s, int base) + { return mpf_set_str(mp, s.c_str(), base); } + std::string get_str(mp_exp_t &expo, int base = 10, size_t size = 0) const + { + __gmp_alloc_cstring temp(mpf_get_str(0, &expo, base, size, mp)); + return std::string(temp.str); + } + + // conversion functions + mpf_srcptr __get_mp() const { return mp; } + mpf_ptr __get_mp() { return mp; } + mpf_srcptr get_mpf_t() const { return mp; } + mpf_ptr get_mpf_t() { return mp; } + + signed long int get_si() const { return mpf_get_si(mp); } + unsigned long int get_ui() const { return mpf_get_ui(mp); } + double get_d() const { return mpf_get_d(mp); } + + // bool fits_schar_p() const { return mpf_fits_schar_p(mp); } + // bool fits_uchar_p() const { return mpf_fits_uchar_p(mp); } + bool fits_sint_p() const { return mpf_fits_sint_p(mp); } + bool fits_uint_p() const { return mpf_fits_uint_p(mp); } + bool fits_sshort_p() const { return mpf_fits_sshort_p(mp); } + bool fits_ushort_p() const { return mpf_fits_ushort_p(mp); } + bool fits_slong_p() const { return mpf_fits_slong_p(mp); } + bool fits_ulong_p() const { return mpf_fits_ulong_p(mp); } + // bool fits_float_p() const { return mpf_fits_float_p(mp); } + // bool fits_double_p() const { return mpf_fits_double_p(mp); } + // bool fits_ldouble_p() const { return mpf_fits_ldouble_p(mp); } + +#if __GMPXX_USE_CXX11 + explicit operator bool() const { return mpf_sgn(mp) != 0; } +#endif + + // compound assignments + __GMP_DECLARE_COMPOUND_OPERATOR(operator+=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator-=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator*=) + __GMP_DECLARE_COMPOUND_OPERATOR(operator/=) + + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator<<=) + __GMP_DECLARE_COMPOUND_OPERATOR_UI(operator>>=) + + __GMP_DECLARE_INCREMENT_OPERATOR(operator++) + __GMP_DECLARE_INCREMENT_OPERATOR(operator--) +}; + +typedef __gmp_expr mpf_class; + + + +/**************** User-defined literals ****************/ + +#if __GMPXX_USE_CXX11 +inline mpz_class operator"" _mpz(const char* s) +{ + return mpz_class(s); +} + +inline mpq_class operator"" _mpq(const char* s) +{ + mpq_class q; + q.get_num() = s; + return q; +} + +inline mpf_class operator"" _mpf(const char* s) +{ + return mpf_class(s); +} +#endif + +/**************** I/O operators ****************/ + +// these should (and will) be provided separately + +template +inline std::ostream & operator<< +(std::ostream &o, const __gmp_expr &expr) +{ + __gmp_expr const& temp(expr); + return o << temp.__get_mp(); +} + +template +inline std::istream & operator>>(std::istream &i, __gmp_expr &expr) +{ + return i >> expr.__get_mp(); +} + +/* +// you might want to uncomment this +inline std::istream & operator>>(std::istream &i, mpq_class &q) +{ + i >> q.get_mpq_t(); + q.canonicalize(); + return i; +} +*/ + + +/**************** Functions for type conversion ****************/ + +inline void __gmp_set_expr(mpz_ptr z, const mpz_class &w) +{ + mpz_set(z, w.get_mpz_t()); +} + +template +inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr &expr) +{ + expr.eval(z); +} + +template +inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr &expr) +{ + mpq_class const& temp(expr); + mpz_set_q(z, temp.get_mpq_t()); +} + +template +inline void __gmp_set_expr(mpz_ptr z, const __gmp_expr &expr) +{ + mpf_class const& temp(expr); + mpz_set_f(z, temp.get_mpf_t()); +} + +inline void __gmp_set_expr(mpq_ptr q, const mpz_class &z) +{ + mpq_set_z(q, z.get_mpz_t()); +} + +template +inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr &expr) +{ + __gmp_set_expr(mpq_numref(q), expr); + mpz_set_ui(mpq_denref(q), 1); +} + +inline void __gmp_set_expr(mpq_ptr q, const mpq_class &r) +{ + mpq_set(q, r.get_mpq_t()); +} + +template +inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr &expr) +{ + expr.eval(q); +} + +template +inline void __gmp_set_expr(mpq_ptr q, const __gmp_expr &expr) +{ + mpf_class const& temp(expr); + mpq_set_f(q, temp.get_mpf_t()); +} + +template +inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr &expr) +{ + mpz_class const& temp(expr); + mpf_set_z(f, temp.get_mpz_t()); +} + +template +inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr &expr) +{ + mpq_class const& temp(expr); + mpf_set_q(f, temp.get_mpq_t()); +} + +inline void __gmp_set_expr(mpf_ptr f, const mpf_class &g) +{ + mpf_set(f, g.get_mpf_t()); +} + +template +inline void __gmp_set_expr(mpf_ptr f, const __gmp_expr &expr) +{ + expr.eval(f); +} + + +/* Temporary objects */ + +template +class __gmp_temp +{ + __gmp_expr val; + public: + template + __gmp_temp(U const& u, V) : val (u) {} + typename __gmp_resolve_expr::srcptr_type + __get_mp() const { return val.__get_mp(); } +}; + +template <> +class __gmp_temp +{ + mpf_class val; + public: + template + __gmp_temp(U const& u, mpf_ptr res) : val (u, mpf_get_prec(res)) {} + mpf_srcptr __get_mp() const { return val.__get_mp(); } +}; + +/**************** Specializations of __gmp_expr ****************/ +/* The eval() method of __gmp_expr evaluates the corresponding + expression and assigns the result to its argument, which is either an + mpz_t, mpq_t, or mpf_t as specified by the T argument. + Compound expressions are evaluated recursively (temporaries are created + to hold intermediate values), while for simple expressions the eval() + method of the appropriate function object (available as the Op argument + of either __gmp_unary_expr or __gmp_binary_expr) is + called. */ + + +/**************** Unary expressions ****************/ +/* cases: + - simple: argument is mp*_class, that is, __gmp_expr + - compound: argument is __gmp_expr (with U not equal to T) */ + + +// simple expressions + +template +class __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val_type; + + __gmp_unary_expr expr; +public: + explicit __gmp_expr(const val_type &val) : expr(val) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { Op::eval(p, expr.val.__get_mp()); } + const val_type & get_val() const { return expr.val; } + mp_bitcnt_t get_prec() const { return expr.val.get_prec(); } +}; + + +// simple expressions, U is a built-in numerical type + +template +class __gmp_expr > +{ +private: + typedef U val_type; + + __gmp_unary_expr expr; +public: + explicit __gmp_expr(const val_type &val) : expr(val) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { Op::eval(p, expr.val); } + const val_type & get_val() const { return expr.val; } + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } +}; + + +// compound expressions + +template +class __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val_type; + + __gmp_unary_expr expr; +public: + explicit __gmp_expr(const val_type &val) : expr(val) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { expr.val.eval(p); Op::eval(p, p); } + const val_type & get_val() const { return expr.val; } + mp_bitcnt_t get_prec() const { return expr.val.get_prec(); } +}; + + +/**************** Binary expressions ****************/ +/* simple: + - arguments are both mp*_class + - one argument is mp*_class, one is a built-in type + compound: + - one is mp*_class, one is __gmp_expr + - one is __gmp_expr, one is built-in + - both arguments are __gmp_expr<...> */ + + +// simple expressions + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { Op::eval(p, expr.val1.__get_mp(), expr.val2.__get_mp()); } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + + +// simple expressions, U is a built-in numerical type + +template +class __gmp_expr, U, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef U val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { Op::eval(p, expr.val1.__get_mp(), expr.val2); } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const { return expr.val1.get_prec(); } +}; + +template +class __gmp_expr, Op> > +{ +private: + typedef U val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { Op::eval(p, expr.val1, expr.val2.__get_mp()); } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const { return expr.val2.get_prec(); } +}; + + +// compound expressions, one argument is a subexpression + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + if(p != expr.val1.__get_mp()) + { + __gmp_set_expr(p, expr.val2); + Op::eval(p, expr.val1.__get_mp(), p); + } + else + { + __gmp_temp temp(expr.val2, p); + Op::eval(p, expr.val1.__get_mp(), temp.__get_mp()); + } + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + if(p != expr.val2.__get_mp()) + { + __gmp_set_expr(p, expr.val1); + Op::eval(p, p, expr.val2.__get_mp()); + } + else + { + __gmp_temp temp(expr.val1, p); + Op::eval(p, temp.__get_mp(), expr.val2.__get_mp()); + } + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + if(p != expr.val1.__get_mp()) + { + __gmp_set_expr(p, expr.val2); + Op::eval(p, expr.val1.__get_mp(), p); + } + else + { + __gmp_temp temp(expr.val2, p); + Op::eval(p, expr.val1.__get_mp(), temp.__get_mp()); + } + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + if(p != expr.val2.__get_mp()) + { + __gmp_set_expr(p, expr.val1); + Op::eval(p, p, expr.val2.__get_mp()); + } + else + { + __gmp_temp temp(expr.val1, p); + Op::eval(p, temp.__get_mp(), expr.val2.__get_mp()); + } + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + + +// one argument is a subexpression, one is a built-in + +template +class __gmp_expr, V, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef V val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + expr.val1.eval(p); + Op::eval(p, p, expr.val2); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const { return expr.val1.get_prec(); } +}; + +template +class __gmp_expr, Op> > +{ +private: + typedef U val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + expr.val2.eval(p); + Op::eval(p, expr.val1, p); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const { return expr.val2.get_prec(); } +}; + + +// both arguments are subexpressions + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_temp temp2(expr.val2, p); + expr.val1.eval(p); + Op::eval(p, p, temp2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_temp temp1(expr.val1, p); + expr.val2.eval(p); + Op::eval(p, temp1.__get_mp(), p); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + +template +class __gmp_expr +, __gmp_expr, Op> > +{ +private: + typedef __gmp_expr val1_type; + typedef __gmp_expr val2_type; + + __gmp_binary_expr expr; +public: + __gmp_expr(const val1_type &val1, const val2_type &val2) + : expr(val1, val2) { } + void eval(typename __gmp_resolve_expr::ptr_type p) const + { + __gmp_temp temp2(expr.val2, p); + expr.val1.eval(p); + Op::eval(p, p, temp2.__get_mp()); + } + const val1_type & get_val1() const { return expr.val1; } + const val2_type & get_val2() const { return expr.val2; } + mp_bitcnt_t get_prec() const + { + mp_bitcnt_t prec1 = expr.val1.get_prec(), + prec2 = expr.val2.get_prec(); + return (prec1 > prec2) ? prec1 : prec2; + } +}; + + +/**************** Special cases ****************/ + +/* Some operations (i.e., add and subtract) with mixed mpz/mpq arguments + can be done directly without first converting the mpz to mpq. + Appropriate specializations of __gmp_expr are required. */ + + +#define __GMPZQ_DEFINE_EXPR(eval_fun) \ + \ +template <> \ +class __gmp_expr > \ +{ \ +private: \ + typedef mpz_class val1_type; \ + typedef mpq_class val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { eval_fun::eval(q, expr.val1.get_mpz_t(), expr.val2.get_mpq_t()); } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template <> \ +class __gmp_expr > \ +{ \ +private: \ + typedef mpq_class val1_type; \ + typedef mpz_class val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { eval_fun::eval(q, expr.val1.get_mpq_t(), expr.val2.get_mpz_t()); } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr \ +, eval_fun> > \ +{ \ +private: \ + typedef mpz_class val1_type; \ + typedef __gmp_expr val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpq_class temp(expr.val2); \ + eval_fun::eval(q, expr.val1.get_mpz_t(), temp.get_mpq_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr \ +, eval_fun> > \ +{ \ +private: \ + typedef mpq_class val1_type; \ + typedef __gmp_expr val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpz_class temp(expr.val2); \ + eval_fun::eval(q, expr.val1.get_mpq_t(), temp.get_mpz_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr \ +, mpq_class, eval_fun> > \ +{ \ +private: \ + typedef __gmp_expr val1_type; \ + typedef mpq_class val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpz_class temp(expr.val1); \ + eval_fun::eval(q, temp.get_mpz_t(), expr.val2.get_mpq_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr \ +, mpz_class, eval_fun> > \ +{ \ +private: \ + typedef __gmp_expr val1_type; \ + typedef mpz_class val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpq_class temp(expr.val1); \ + eval_fun::eval(q, temp.get_mpq_t(), expr.val2.get_mpz_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr, __gmp_expr, eval_fun> > \ +{ \ +private: \ + typedef __gmp_expr val1_type; \ + typedef __gmp_expr val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpz_class temp1(expr.val1); \ + expr.val2.eval(q); \ + eval_fun::eval(q, temp1.get_mpz_t(), q); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \ +}; \ + \ +template \ +class __gmp_expr, __gmp_expr, eval_fun> > \ +{ \ +private: \ + typedef __gmp_expr val1_type; \ + typedef __gmp_expr val2_type; \ + \ + __gmp_binary_expr expr; \ +public: \ + __gmp_expr(const val1_type &val1, const val2_type &val2) \ + : expr(val1, val2) { } \ + void eval(mpq_ptr q) const \ + { \ + mpz_class temp2(expr.val2); \ + expr.val1.eval(q); \ + eval_fun::eval(q, q, temp2.get_mpz_t()); \ + } \ + const val1_type & get_val1() const { return expr.val1; } \ + const val2_type & get_val2() const { return expr.val2; } \ + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } \ +}; + + +__GMPZQ_DEFINE_EXPR(__gmp_binary_plus) +__GMPZQ_DEFINE_EXPR(__gmp_binary_minus) + + + +/**************** Macros for defining functions ****************/ +/* Results of operators and functions are instances of __gmp_expr. + T determines the numerical type of the expression: it can be either + mpz_t, mpq_t, or mpf_t. When the arguments of a binary + expression have different numerical types, __gmp_resolve_expr is used + to determine the "larger" type. + U is either __gmp_unary_expr or __gmp_binary_expr, + where V and W are the arguments' types -- they can in turn be + expressions, thus allowing to build compound expressions to any + degree of complexity. + Op is a function object that must have an eval() method accepting + appropriate arguments. + Actual evaluation of a __gmp_expr object is done when it gets + assigned to an mp*_class ("lazy" evaluation): this is done by calling + its eval() method. */ + + +// non-member unary operators and functions + +#define __GMP_DEFINE_UNARY_FUNCTION(fun, eval_fun) \ + \ +template \ +inline __gmp_expr, eval_fun> > \ +fun(const __gmp_expr &expr) \ +{ \ + return __gmp_expr, eval_fun> >(expr); \ +} + +// variant that only works for one of { mpz, mpq, mpf } + +#define __GMP_DEFINE_UNARY_FUNCTION_1(T, fun, eval_fun) \ + \ +template \ +inline __gmp_expr, eval_fun> > \ +fun(const __gmp_expr &expr) \ +{ \ + return __gmp_expr, eval_fun> >(expr); \ +} + +#define __GMP_DEFINE_UNARY_TYPE_FUNCTION(type, fun, eval_fun) \ + \ +template \ +inline type fun(const __gmp_expr &expr) \ +{ \ + __gmp_expr const& temp(expr); \ + return eval_fun::eval(temp.__get_mp()); \ +} + + +// non-member binary operators and functions + +#define __GMPP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \ + \ +template \ +inline __gmp_expr::value_type, \ +__gmp_binary_expr<__gmp_expr, __gmp_expr, eval_fun> > \ +fun(const __gmp_expr &expr1, const __gmp_expr &expr2) \ +{ \ + return __gmp_expr::value_type, \ + __gmp_binary_expr<__gmp_expr, __gmp_expr, eval_fun> > \ + (expr1, expr2); \ +} + +#define __GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, bigtype) \ + \ +template \ +inline __gmp_expr \ +, bigtype, eval_fun> > \ +fun(const __gmp_expr &expr, type t) \ +{ \ + return __gmp_expr \ + , bigtype, eval_fun> >(expr, t); \ +} \ + \ +template \ +inline __gmp_expr \ +, eval_fun> > \ +fun(type t, const __gmp_expr &expr) \ +{ \ + return __gmp_expr \ + , eval_fun> >(t, expr); \ +} + +#define __GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, signed long int) + +#define __GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, unsigned long int) + +#define __GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, double) + +#define __GMPNLD_DEFINE_BINARY_FUNCTION(fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION(fun, eval_fun, type, long double) + +#define __GMPN_DEFINE_BINARY_FUNCTION(fun, eval_fun) \ +__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed char) \ +__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned char) \ +__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed int) \ +__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned int) \ +__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed short int) \ +__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned short int) \ +__GMPNS_DEFINE_BINARY_FUNCTION(fun, eval_fun, signed long int) \ +__GMPNU_DEFINE_BINARY_FUNCTION(fun, eval_fun, unsigned long int) \ +__GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, float) \ +__GMPND_DEFINE_BINARY_FUNCTION(fun, eval_fun, double) \ +/* __GMPNLD_DEFINE_BINARY_FUNCTION(fun, eval_fun, long double) */ + +#define __GMP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \ +__GMPP_DEFINE_BINARY_FUNCTION(fun, eval_fun) \ +__GMPN_DEFINE_BINARY_FUNCTION(fun, eval_fun) + +// variant that only works for one of { mpz, mpq, mpf } + +#define __GMPP_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun) \ + \ +template \ +inline __gmp_expr, __gmp_expr, eval_fun> > \ +fun(const __gmp_expr &expr1, const __gmp_expr &expr2) \ +{ \ + return __gmp_expr, __gmp_expr, eval_fun> > \ + (expr1, expr2); \ +} + +#define __GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, bigtype) \ + \ +template \ +inline __gmp_expr \ +, bigtype, eval_fun> > \ +fun(const __gmp_expr &expr, type t) \ +{ \ + return __gmp_expr \ + , bigtype, eval_fun> >(expr, t); \ +} \ + \ +template \ +inline __gmp_expr \ +, eval_fun> > \ +fun(type t, const __gmp_expr &expr) \ +{ \ + return __gmp_expr \ + , eval_fun> >(t, expr); \ +} + +#define __GMPNS_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, signed long int) + +#define __GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, unsigned long int) + +#define __GMPND_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, double) + +#define __GMPNLD_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type) \ +__GMPNN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, type, long double) + +#define __GMPN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun) \ +__GMPNS_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, signed char) \ +__GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, unsigned char) \ +__GMPNS_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, signed int) \ +__GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, unsigned int) \ +__GMPNS_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, signed short int) \ +__GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, unsigned short int) \ +__GMPNS_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, signed long int) \ +__GMPNU_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, unsigned long int) \ +__GMPND_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, float) \ +__GMPND_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, double) \ +/* __GMPNLD_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun, long double) */ + +#define __GMP_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun) \ +__GMPP_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun) \ +__GMPN_DEFINE_BINARY_FUNCTION_1(T, fun, eval_fun) + + +#define __GMP_DEFINE_BINARY_FUNCTION_UI(fun, eval_fun) \ + \ +template \ +inline __gmp_expr \ +, mp_bitcnt_t, eval_fun> > \ +fun(const __gmp_expr &expr, mp_bitcnt_t l) \ +{ \ + return __gmp_expr, mp_bitcnt_t, eval_fun> >(expr, l); \ +} + + +#define __GMPP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \ + \ +template \ +inline type fun(const __gmp_expr &expr1, \ + const __gmp_expr &expr2) \ +{ \ + __gmp_expr const& temp1(expr1); \ + __gmp_expr const& temp2(expr2); \ + return eval_fun::eval(temp1.__get_mp(), temp2.__get_mp()); \ +} + +#define __GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \ + type2, bigtype) \ + \ +template \ +inline type fun(const __gmp_expr &expr, type2 t) \ +{ \ + __gmp_expr const& temp(expr); \ + return eval_fun::eval(temp.__get_mp(), static_cast(t)); \ +} \ + \ +template \ +inline type fun(type2 t, const __gmp_expr &expr) \ +{ \ + __gmp_expr const& temp(expr); \ + return eval_fun::eval(static_cast(t), temp.__get_mp()); \ +} + +#define __GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \ + type2, signed long int) + +#define __GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, \ + type2, unsigned long int) + +#define __GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2, double) + +#define __GMPNLD_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, type2, long double) + +#define __GMPN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \ +__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed char) \ +__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned char) \ +__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed int) \ +__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned int) \ +__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed short int) \ +__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned short int) \ +__GMPNS_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, signed long int) \ +__GMPNU_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, unsigned long int) \ +__GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, float) \ +__GMPND_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, double) \ +/* __GMPNLD_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun, long double) */ + +#define __GMP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \ +__GMPP_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) \ +__GMPN_DEFINE_BINARY_TYPE_FUNCTION(type, fun, eval_fun) + + +// member operators + +#define __GMPP_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \ + \ +template \ +inline type##_class & type##_class::fun(const __gmp_expr &expr) \ +{ \ + __gmp_set_expr(mp, __gmp_expr, eval_fun> >(*this, expr)); \ + return *this; \ +} + +#define __GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \ + type2, bigtype) \ + \ +inline type##_class & type##_class::fun(type2 t) \ +{ \ + __gmp_set_expr(mp, __gmp_expr >(*this, t)); \ + return *this; \ +} + +#define __GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \ + type2, signed long int) + +#define __GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, \ + type2, unsigned long int) + +#define __GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2, double) + +#define __GMPNLD_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2) \ +__GMPNN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, type2, long double) + +#define __GMPN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \ +__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed char) \ +__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned char) \ +__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed int) \ +__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned int) \ +__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed short int) \ +__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned short int) \ +__GMPNS_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, signed long int) \ +__GMPNU_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, unsigned long int) \ +__GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, float) \ +__GMPND_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, double) \ +/* __GMPNLD_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun, long double) */ + +#define __GMP_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \ +__GMPP_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) \ +__GMPN_DEFINE_COMPOUND_OPERATOR(type, fun, eval_fun) + +#define __GMPZ_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR(mpz, fun, eval_fun) + +#define __GMPQ_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR(mpq, fun, eval_fun) + +#define __GMPF_DEFINE_COMPOUND_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR(mpf, fun, eval_fun) + + + +#define __GMP_DEFINE_COMPOUND_OPERATOR_UI(type, fun, eval_fun) \ + \ +inline type##_class & type##_class::fun(mp_bitcnt_t l) \ +{ \ + __gmp_set_expr(mp, __gmp_expr >(*this, l)); \ + return *this; \ +} + +#define __GMPZ_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpz, fun, eval_fun) + +#define __GMPQ_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpq, fun, eval_fun) + +#define __GMPF_DEFINE_COMPOUND_OPERATOR_UI(fun, eval_fun) \ +__GMP_DEFINE_COMPOUND_OPERATOR_UI(mpf, fun, eval_fun) + + + +#define __GMP_DEFINE_INCREMENT_OPERATOR(type, fun, eval_fun) \ + \ +inline type##_class & type##_class::fun() \ +{ \ + eval_fun::eval(mp); \ + return *this; \ +} \ + \ +inline type##_class type##_class::fun(int) \ +{ \ + type##_class temp(*this); \ + eval_fun::eval(mp); \ + return temp; \ +} + +#define __GMPZ_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_INCREMENT_OPERATOR(mpz, fun, eval_fun) + +#define __GMPQ_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_INCREMENT_OPERATOR(mpq, fun, eval_fun) + +#define __GMPF_DEFINE_INCREMENT_OPERATOR(fun, eval_fun) \ +__GMP_DEFINE_INCREMENT_OPERATOR(mpf, fun, eval_fun) + + +#define __GMPP_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \ +template \ +__gmp_expr, eval_fun> > \ +fun(const __gmp_expr &expr) \ +{ \ + return __gmp_expr, eval_fun> >(expr); \ +} + +#define __GMPNN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, bigtype) \ +inline __gmp_expr > \ +fun(type expr) \ +{ \ + return __gmp_expr >(expr); \ +} + +#define __GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \ +__GMPNN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, signed long) +#define __GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \ +__GMPNN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, unsigned long) +#define __GMPND_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type) \ +__GMPNN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, type, double) + +#define __GMPN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \ +__GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed char) \ +__GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned char) \ +__GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed int) \ +__GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned int) \ +__GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed short int) \ +__GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned short int) \ +__GMPNS_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, signed long int) \ +__GMPNU_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, unsigned long int) \ +__GMPND_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, float) \ +__GMPND_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun, double) \ + +#define __GMP_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \ +__GMPP_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \ +__GMPN_DEFINE_UNARY_STATIC_MEMFUN(T, fun, eval_fun) \ + + +/**************** Arithmetic operators and functions ****************/ + +// non-member operators and functions + +__GMP_DEFINE_UNARY_FUNCTION(operator+, __gmp_unary_plus) +__GMP_DEFINE_UNARY_FUNCTION(operator-, __gmp_unary_minus) +__GMP_DEFINE_UNARY_FUNCTION_1(mpz_t, operator~, __gmp_unary_com) + +__GMP_DEFINE_BINARY_FUNCTION(operator+, __gmp_binary_plus) +__GMP_DEFINE_BINARY_FUNCTION(operator-, __gmp_binary_minus) +__GMP_DEFINE_BINARY_FUNCTION(operator*, __gmp_binary_multiplies) +__GMP_DEFINE_BINARY_FUNCTION(operator/, __gmp_binary_divides) +__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, operator%, __gmp_binary_modulus) +__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, operator&, __gmp_binary_and) +__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, operator|, __gmp_binary_ior) +__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, operator^, __gmp_binary_xor) + +__GMP_DEFINE_BINARY_FUNCTION_UI(operator<<, __gmp_binary_lshift) +__GMP_DEFINE_BINARY_FUNCTION_UI(operator>>, __gmp_binary_rshift) + +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator==, __gmp_binary_equal) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator!=, ! __gmp_binary_equal) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator<, __gmp_binary_less) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator<=, ! __gmp_binary_greater) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator>, __gmp_binary_greater) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(bool, operator>=, ! __gmp_binary_less) + +__GMP_DEFINE_UNARY_FUNCTION(abs, __gmp_abs_function) +__GMP_DEFINE_UNARY_FUNCTION_1(mpf_t, trunc, __gmp_trunc_function) +__GMP_DEFINE_UNARY_FUNCTION_1(mpf_t, floor, __gmp_floor_function) +__GMP_DEFINE_UNARY_FUNCTION_1(mpf_t, ceil, __gmp_ceil_function) +__GMP_DEFINE_UNARY_FUNCTION_1(mpf_t, sqrt, __gmp_sqrt_function) +__GMP_DEFINE_UNARY_FUNCTION_1(mpz_t, sqrt, __gmp_sqrt_function) +__GMP_DEFINE_UNARY_FUNCTION_1(mpz_t, factorial, __gmp_fac_function) +__GMP_DEFINE_UNARY_FUNCTION_1(mpz_t, primorial, __gmp_primorial_function) +__GMP_DEFINE_UNARY_FUNCTION_1(mpz_t, fibonacci, __gmp_fib_function) +__GMP_DEFINE_BINARY_FUNCTION_1(mpf_t, hypot, __gmp_hypot_function) +__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, gcd, __gmp_gcd_function) +__GMP_DEFINE_BINARY_FUNCTION_1(mpz_t, lcm, __gmp_lcm_function) + +__GMP_DEFINE_UNARY_TYPE_FUNCTION(int, sgn, __gmp_sgn_function) +__GMP_DEFINE_BINARY_TYPE_FUNCTION(int, cmp, __gmp_cmp_function) + +template +void swap(__gmp_expr& x, __gmp_expr& y) __GMPXX_NOEXCEPT +{ x.swap(y); } + +// member operators for mpz_class + +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator%=, __gmp_binary_modulus) + +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator&=, __gmp_binary_and) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator|=, __gmp_binary_ior) +__GMPZ_DEFINE_COMPOUND_OPERATOR(operator^=, __gmp_binary_xor) + +__GMPZ_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift) +__GMPZ_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift) + +__GMPZ_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment) +__GMPZ_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement) + +__GMP_DEFINE_UNARY_STATIC_MEMFUN(mpz_t, mpz_class::factorial, __gmp_fac_function) +__GMP_DEFINE_UNARY_STATIC_MEMFUN(mpz_t, mpz_class::primorial, __gmp_primorial_function) +__GMP_DEFINE_UNARY_STATIC_MEMFUN(mpz_t, mpz_class::fibonacci, __gmp_fib_function) + +// member operators for mpq_class + +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus) +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus) +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies) +__GMPQ_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides) + +__GMPQ_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift) +__GMPQ_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift) + +__GMPQ_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment) +__GMPQ_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement) + +// member operators for mpf_class + +__GMPF_DEFINE_COMPOUND_OPERATOR(operator+=, __gmp_binary_plus) +__GMPF_DEFINE_COMPOUND_OPERATOR(operator-=, __gmp_binary_minus) +__GMPF_DEFINE_COMPOUND_OPERATOR(operator*=, __gmp_binary_multiplies) +__GMPF_DEFINE_COMPOUND_OPERATOR(operator/=, __gmp_binary_divides) + +__GMPF_DEFINE_COMPOUND_OPERATOR_UI(operator<<=, __gmp_binary_lshift) +__GMPF_DEFINE_COMPOUND_OPERATOR_UI(operator>>=, __gmp_binary_rshift) + +__GMPF_DEFINE_INCREMENT_OPERATOR(operator++, __gmp_unary_increment) +__GMPF_DEFINE_INCREMENT_OPERATOR(operator--, __gmp_unary_decrement) + + + +/**************** Class wrapper for gmp_randstate_t ****************/ + +class __gmp_urandomb_value { }; +class __gmp_urandomm_value { }; + +template <> +class __gmp_expr +{ +private: + __gmp_randstate_struct *state; + mp_bitcnt_t bits; +public: + __gmp_expr(gmp_randstate_t s, mp_bitcnt_t l) : state(s), bits(l) { } + void eval(mpz_ptr z) const { __gmp_rand_function::eval(z, state, bits); } + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } +}; + +template <> +class __gmp_expr +{ +private: + __gmp_randstate_struct *state; + mpz_class range; +public: + __gmp_expr(gmp_randstate_t s, const mpz_class &z) : state(s), range(z) { } + void eval(mpz_ptr z) const + { __gmp_rand_function::eval(z, state, range.get_mpz_t()); } + mp_bitcnt_t get_prec() const { return mpf_get_default_prec(); } +}; + +template <> +class __gmp_expr +{ +private: + __gmp_randstate_struct *state; + mp_bitcnt_t bits; +public: + __gmp_expr(gmp_randstate_t s, mp_bitcnt_t l) : state(s), bits(l) { } + void eval(mpf_ptr f) const + { + __gmp_rand_function::eval(f, state, + (bits>0) ? bits : mpf_get_prec(f)); + } + mp_bitcnt_t get_prec() const + { + if (bits == 0) + return mpf_get_default_prec(); + else + return bits; + } +}; + +extern "C" { + typedef void __gmp_randinit_default_t (gmp_randstate_t); + typedef void __gmp_randinit_lc_2exp_t (gmp_randstate_t, mpz_srcptr, unsigned long int, mp_bitcnt_t); + typedef int __gmp_randinit_lc_2exp_size_t (gmp_randstate_t, mp_bitcnt_t); +} + +class gmp_randclass +{ +private: + gmp_randstate_t state; + + // copy construction and assignment not allowed + gmp_randclass(const gmp_randclass &); + void operator=(const gmp_randclass &); +public: + // constructors and destructor + gmp_randclass(gmp_randalg_t alg, unsigned long int size) + { + switch (alg) + { + case GMP_RAND_ALG_LC: // no other cases for now + default: + gmp_randinit(state, alg, size); + break; + } + } + + // gmp_randinit_default + gmp_randclass(__gmp_randinit_default_t* f) { f(state); } + + // gmp_randinit_lc_2exp + gmp_randclass(__gmp_randinit_lc_2exp_t* f, + mpz_class z, unsigned long int l1, mp_bitcnt_t l2) + { f(state, z.get_mpz_t(), l1, l2); } + + // gmp_randinit_lc_2exp_size + gmp_randclass(__gmp_randinit_lc_2exp_size_t* f, + mp_bitcnt_t size) + { + if (f (state, size) == 0) + throw std::length_error ("gmp_randinit_lc_2exp_size"); + } + + ~gmp_randclass() { gmp_randclear(state); } + + // initialize + void seed(); // choose a random seed some way (?) + void seed(unsigned long int s) { gmp_randseed_ui(state, s); } + void seed(const mpz_class &z) { gmp_randseed(state, z.get_mpz_t()); } + + // get random number + __gmp_expr get_z_bits(mp_bitcnt_t l) + { return __gmp_expr(state, l); } + __gmp_expr get_z_bits(const mpz_class &z) + { return get_z_bits(z.get_ui()); } + // FIXME: z.get_bitcnt_t() ? + + __gmp_expr get_z_range(const mpz_class &z) + { return __gmp_expr(state, z); } + + __gmp_expr get_f(mp_bitcnt_t prec = 0) + { return __gmp_expr(state, prec); } +}; + + +/**************** Specialize std::numeric_limits ****************/ + +namespace std { + template <> class numeric_limits + { + public: + static const bool is_specialized = true; + static mpz_class min() { return mpz_class(); } + static mpz_class max() { return mpz_class(); } + static mpz_class lowest() { return mpz_class(); } + static const int digits = 0; + static const int digits10 = 0; + static const int max_digits10 = 0; + static const bool is_signed = true; + static const bool is_integer = true; + static const bool is_exact = true; + static const int radix = 2; + static mpz_class epsilon() { return mpz_class(); } + static mpz_class round_error() { return mpz_class(); } + static const int min_exponent = 0; + static const int min_exponent10 = 0; + static const int max_exponent = 0; + static const int max_exponent10 = 0; + static const bool has_infinity = false; + static const bool has_quiet_NaN = false; + static const bool has_signaling_NaN = false; + static const float_denorm_style has_denorm = denorm_absent; + static const bool has_denorm_loss = false; + static mpz_class infinity() { return mpz_class(); } + static mpz_class quiet_NaN() { return mpz_class(); } + static mpz_class signaling_NaN() { return mpz_class(); } + static mpz_class denorm_min() { return mpz_class(); } + static const bool is_iec559 = false; + static const bool is_bounded = false; + static const bool is_modulo = false; + static const bool traps = false; + static const bool tinyness_before = false; + static const float_round_style round_style = round_toward_zero; + }; + + template <> class numeric_limits + { + public: + static const bool is_specialized = true; + static mpq_class min() { return mpq_class(); } + static mpq_class max() { return mpq_class(); } + static mpq_class lowest() { return mpq_class(); } + static const int digits = 0; + static const int digits10 = 0; + static const int max_digits10 = 0; + static const bool is_signed = true; + static const bool is_integer = false; + static const bool is_exact = true; + static const int radix = 2; + static mpq_class epsilon() { return mpq_class(); } + static mpq_class round_error() { return mpq_class(); } + static const int min_exponent = 0; + static const int min_exponent10 = 0; + static const int max_exponent = 0; + static const int max_exponent10 = 0; + static const bool has_infinity = false; + static const bool has_quiet_NaN = false; + static const bool has_signaling_NaN = false; + static const float_denorm_style has_denorm = denorm_absent; + static const bool has_denorm_loss = false; + static mpq_class infinity() { return mpq_class(); } + static mpq_class quiet_NaN() { return mpq_class(); } + static mpq_class signaling_NaN() { return mpq_class(); } + static mpq_class denorm_min() { return mpq_class(); } + static const bool is_iec559 = false; + static const bool is_bounded = false; + static const bool is_modulo = false; + static const bool traps = false; + static const bool tinyness_before = false; + static const float_round_style round_style = round_toward_zero; + }; + + template <> class numeric_limits + { + public: + static const bool is_specialized = true; + static mpf_class min() { return mpf_class(); } + static mpf_class max() { return mpf_class(); } + static mpf_class lowest() { return mpf_class(); } + static const int digits = 0; + static const int digits10 = 0; + static const int max_digits10 = 0; + static const bool is_signed = true; + static const bool is_integer = false; + static const bool is_exact = false; + static const int radix = 2; + static mpf_class epsilon() { return mpf_class(); } + static mpf_class round_error() { return mpf_class(); } + static const int min_exponent = 0; + static const int min_exponent10 = 0; + static const int max_exponent = 0; + static const int max_exponent10 = 0; + static const bool has_infinity = false; + static const bool has_quiet_NaN = false; + static const bool has_signaling_NaN = false; + static const float_denorm_style has_denorm = denorm_absent; + static const bool has_denorm_loss = false; + static mpf_class infinity() { return mpf_class(); } + static mpf_class quiet_NaN() { return mpf_class(); } + static mpf_class signaling_NaN() { return mpf_class(); } + static mpf_class denorm_min() { return mpf_class(); } + static const bool is_iec559 = false; + static const bool is_bounded = false; + static const bool is_modulo = false; + static const bool traps = false; + static const bool tinyness_before = false; + static const float_round_style round_style = round_indeterminate; + }; +} + + +/**************** #undef all private macros ****************/ + +#undef __GMPP_DECLARE_COMPOUND_OPERATOR +#undef __GMPN_DECLARE_COMPOUND_OPERATOR +#undef __GMP_DECLARE_COMPOUND_OPERATOR +#undef __GMP_DECLARE_COMPOUND_OPERATOR_UI +#undef __GMP_DECLARE_INCREMENT_OPERATOR +#undef __GMPXX_DEFINE_ARITHMETIC_CONSTRUCTORS +#undef __GMPXX_DEFINE_ARITHMETIC_ASSIGNMENTS + +#undef __GMPZQ_DEFINE_EXPR + +#undef __GMP_DEFINE_UNARY_FUNCTION_1 +#undef __GMP_DEFINE_UNARY_FUNCTION +#undef __GMP_DEFINE_UNARY_TYPE_FUNCTION + +#undef __GMPP_DEFINE_BINARY_FUNCTION +#undef __GMPNN_DEFINE_BINARY_FUNCTION +#undef __GMPNS_DEFINE_BINARY_FUNCTION +#undef __GMPNU_DEFINE_BINARY_FUNCTION +#undef __GMPND_DEFINE_BINARY_FUNCTION +#undef __GMPNLD_DEFINE_BINARY_FUNCTION +#undef __GMPN_DEFINE_BINARY_FUNCTION +#undef __GMP_DEFINE_BINARY_FUNCTION + +#undef __GMP_DEFINE_BINARY_FUNCTION_UI + +#undef __GMPP_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPNN_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPNS_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPNU_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPND_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPNLD_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMPN_DEFINE_BINARY_TYPE_FUNCTION +#undef __GMP_DEFINE_BINARY_TYPE_FUNCTION + +#undef __GMPZ_DEFINE_COMPOUND_OPERATOR + +#undef __GMPP_DEFINE_COMPOUND_OPERATOR +#undef __GMPNN_DEFINE_COMPOUND_OPERATOR +#undef __GMPNS_DEFINE_COMPOUND_OPERATOR +#undef __GMPNU_DEFINE_COMPOUND_OPERATOR +#undef __GMPND_DEFINE_COMPOUND_OPERATOR +#undef __GMPNLD_DEFINE_COMPOUND_OPERATOR +#undef __GMPN_DEFINE_COMPOUND_OPERATOR +#undef __GMP_DEFINE_COMPOUND_OPERATOR + +#undef __GMPQ_DEFINE_COMPOUND_OPERATOR +#undef __GMPF_DEFINE_COMPOUND_OPERATOR + +#undef __GMP_DEFINE_COMPOUND_OPERATOR_UI +#undef __GMPZ_DEFINE_COMPOUND_OPERATOR_UI +#undef __GMPQ_DEFINE_COMPOUND_OPERATOR_UI +#undef __GMPF_DEFINE_COMPOUND_OPERATOR_UI + +#undef __GMP_DEFINE_INCREMENT_OPERATOR +#undef __GMPZ_DEFINE_INCREMENT_OPERATOR +#undef __GMPQ_DEFINE_INCREMENT_OPERATOR +#undef __GMPF_DEFINE_INCREMENT_OPERATOR + +#undef __GMPXX_CONSTANT_TRUE +#undef __GMPXX_CONSTANT + +#endif /* __GMP_PLUSPLUS__ */ diff --git a/misc/builddeps/emscripten/gmp/lib/libgmp.a b/misc/builddeps/emscripten/gmp/lib/libgmp.a new file mode 100644 index 0000000000000000000000000000000000000000..b6a894c95672f0f749c9b6e68c2487b47ce85b08 GIT binary patch literal 735352 zcmeEv37lO;mG`N8@7rH5=`3J^dfyWe7ee*~7sx|E2#Po=<1mg*rx(&ox;y>414Nw! z0d;U=6cNQiKybwom%()qH^vQRa7Ty1Wn2-rk#SVu`~Oc>-Fsj6>vZBUe!u>HU*~u8 zs_NEy>eQ*TRo&W?`lkAK99KRjZv9)6iP~`X|2ST|ZsUdxn&<4YNN}dehL!f&e2IvE 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cannot go in dependency_libs. +inherited_linker_flags='' + +# Libraries that this one depends upon. +dependency_libs=' /home/gitpod/opt/lib/libgmp.la' + +# Names of additional weak libraries provided by this library +weak_library_names='' + +# Version information for libgmpxx. +current=11 +age=7 +revision=0 + +# Is this an already installed library? +installed=yes + +# Should we warn about portability when linking against -modules? +shouldnotlink=no + +# Files to dlopen/dlpreopen +dlopen='' +dlpreopen='' + +# Directory that this library needs to be installed in: +libdir='/home/gitpod/opt/lib' diff --git a/misc/builddeps/emscripten/gmp/lib/pkgconfig/gmp.pc b/misc/builddeps/emscripten/gmp/lib/pkgconfig/gmp.pc new file mode 100644 index 00000000..f38255e0 --- /dev/null +++ b/misc/builddeps/emscripten/gmp/lib/pkgconfig/gmp.pc @@ -0,0 +1,11 @@ +prefix=/home/gitpod/opt +exec_prefix=${prefix} +includedir=${prefix}/include +libdir=${exec_prefix}/lib + +Name: GNU MP +Description: GNU Multiple Precision Arithmetic Library +URL: https://gmplib.org +Version: 6.3.0 +Cflags: -I${includedir} +Libs: -L${libdir} -lgmp diff --git a/misc/builddeps/emscripten/gmp/lib/pkgconfig/gmpxx.pc b/misc/builddeps/emscripten/gmp/lib/pkgconfig/gmpxx.pc new file mode 100644 index 00000000..44b01fa8 --- /dev/null +++ b/misc/builddeps/emscripten/gmp/lib/pkgconfig/gmpxx.pc @@ -0,0 +1,12 @@ +prefix=/home/gitpod/opt +exec_prefix=${prefix} +includedir=${prefix}/include +libdir=${exec_prefix}/lib + +Name: GNU MP C++ +Description: GNU Multiple Precision Arithmetic Library (C++ bindings) +URL: https://gmplib.org +Version: 6.3.0 +Requires: gmp +Cflags: -I${includedir} +Libs: -L${libdir} -lgmpxx diff --git a/misc/builddeps/emscripten/gmp/share/info/dir b/misc/builddeps/emscripten/gmp/share/info/dir new file mode 100644 index 00000000..3a2d9903 --- /dev/null +++ b/misc/builddeps/emscripten/gmp/share/info/dir @@ -0,0 +1,18 @@ +This is the file .../info/dir, which contains the +topmost node of the Info hierarchy, called (dir)Top. +The first time you invoke Info you start off looking at this node. + +File: dir, Node: Top This is the top of the INFO tree + + This (the Directory node) gives a menu of major topics. + Typing "q" exits, "H" lists all Info commands, "d" returns here, + "h" gives a primer for first-timers, + "mEmacs" visits the Emacs manual, etc. + + In Emacs, you can click mouse button 2 on a menu item or cross reference + to select it. + +* Menu: + +GNU libraries +* gmp: (gmp). GNU Multiple Precision Arithmetic Library. diff --git a/misc/builddeps/emscripten/gmp/share/info/gmp.info b/misc/builddeps/emscripten/gmp/share/info/gmp.info new file mode 100644 index 00000000..91caf890 --- /dev/null +++ b/misc/builddeps/emscripten/gmp/share/info/gmp.info @@ -0,0 +1,179 @@ +This is gmp.info, produced by makeinfo version 6.7 from gmp.texi. + +This manual describes how to install and use the GNU multiple precision +arithmetic library, version 6.3.0. + + Copyright 1991, 1993-2016, 2018-2020 Free Software Foundation, Inc. + + Permission is granted to copy, distribute and/or modify this document +under the terms of the GNU Free Documentation License, Version 1.3 or +any later version published by the Free Software Foundation; with no +Invariant Sections, with the Front-Cover Texts being "A GNU Manual", and +with the Back-Cover Texts being "You have freedom to copy and modify +this GNU Manual, like GNU software". A copy of the license is included +in *note GNU Free Documentation License::. +INFO-DIR-SECTION GNU libraries +START-INFO-DIR-ENTRY +* gmp: (gmp). GNU Multiple Precision Arithmetic Library. +END-INFO-DIR-ENTRY + + +Indirect: +gmp.info-1: 863 +gmp.info-2: 301246 + +Tag Table: +(Indirect) +Node: Top863 +Node: Copying2941 +Node: Introduction to GMP5288 +Node: Installing GMP8006 +Node: Build Options8738 +Node: ABI and ISA24450 +Node: Notes for Package Builds34296 +Node: Notes for Particular Systems37383 +Node: Known Build Problems45134 +Node: Performance optimization48667 +Node: GMP Basics49795 +Node: Headers and Libraries50443 +Node: Nomenclature and Types52054 +Node: Function Classes56262 +Node: Variable Conventions57797 +Node: Parameter Conventions60151 +Node: Memory Management62103 +Node: Reentrancy63231 +Node: Useful Macros and Constants65099 +Node: Compatibility with older versions66090 +Node: Demonstration Programs67000 +Node: Efficiency68859 +Node: Debugging76461 +Node: Profiling83236 +Node: Autoconf87227 +Node: Emacs89008 +Node: Reporting Bugs89614 +Node: Integer Functions92311 +Node: Initializing Integers93087 +Node: Assigning Integers95463 +Node: Simultaneous Integer Init & Assign97076 +Node: Converting Integers98723 +Node: Integer Arithmetic101663 +Node: Integer Division103399 +Node: Integer Exponentiation110158 +Node: Integer Roots111655 +Node: Number Theoretic Functions113372 +Node: Integer Comparisons121149 +Node: Integer Logic and Bit Fiddling122587 +Node: I/O of Integers125385 +Node: Integer Random Numbers128378 +Node: Integer Import and Export131002 +Node: Miscellaneous Integer Functions135018 +Node: Integer Special Functions136932 +Node: Rational Number Functions141105 +Node: Initializing Rationals142298 +Node: Rational Conversions144771 +Node: Rational Arithmetic146793 +Node: Comparing Rationals148205 +Node: Applying Integer Functions149674 +Node: I/O of Rationals151380 +Node: Floating-point Functions153739 +Node: Initializing Floats156790 +Node: Assigning Floats160882 +Node: Simultaneous Float Init & Assign163472 +Node: Converting Floats165022 +Node: Float Arithmetic168287 +Node: Float Comparison170440 +Node: I/O of Floats172011 +Node: Miscellaneous Float Functions174700 +Node: Low-level Functions176702 +Node: Random Number Functions210955 +Node: Random State Initialization212023 +Node: Random State Seeding214889 +Node: Random State Miscellaneous216289 +Node: Formatted Output216931 +Node: Formatted Output Strings217176 +Node: Formatted Output Functions222572 +Node: C++ Formatted Output226636 +Node: Formatted Input229337 +Node: Formatted Input Strings229573 +Node: Formatted Input Functions234233 +Node: C++ Formatted Input237202 +Node: C++ Class Interface239105 +Node: C++ Interface General240056 +Node: C++ Interface Integers243125 +Node: C++ Interface Rationals247358 +Node: C++ Interface Floats251382 +Node: C++ Interface Random Numbers257398 +Node: C++ Interface Limitations259798 +Node: Custom Allocation263373 +Node: Language Bindings267592 +Node: Algorithms270905 +Node: Multiplication Algorithms271605 +Node: Basecase Multiplication272694 +Node: Karatsuba Multiplication274602 +Node: Toom 3-Way Multiplication278226 +Node: Toom 4-Way Multiplication284650 +Node: Higher degree Toom'n'half286028 +Node: FFT Multiplication287316 +Node: Other Multiplication292651 +Node: Unbalanced Multiplication295125 +Node: Division Algorithms295913 +Node: Single Limb Division296292 +Node: Basecase Division299180 +Node: Divide and Conquer Division301246 +Node: Block-Wise Barrett Division303314 +Node: Exact Division303966 +Node: Exact Remainder307130 +Node: Small Quotient Division309380 +Node: Greatest Common Divisor Algorithms310978 +Node: Binary GCD311275 +Node: Lehmer's Algorithm314127 +Node: Subquadratic GCD316363 +Node: Extended GCD318833 +Node: Jacobi Symbol320152 +Node: Powering Algorithms322061 +Node: Normal Powering Algorithm322324 +Node: Modular Powering Algorithm322852 +Node: Root Extraction Algorithms323634 +Node: Square Root Algorithm323949 +Node: Nth Root Algorithm326090 +Node: Perfect Square Algorithm326875 +Node: Perfect Power Algorithm328962 +Node: Radix Conversion Algorithms329583 +Node: Binary to Radix329959 +Node: Radix to Binary333580 +Node: Other Algorithms335668 +Node: Prime Testing Algorithm336020 +Node: Factorial Algorithm337204 +Node: Binomial Coefficients Algorithm339606 +Node: Fibonacci Numbers Algorithm340500 +Node: Lucas Numbers Algorithm342974 +Node: Random Number Algorithms343695 +Node: Assembly Coding345815 +Node: Assembly Code Organisation346775 +Node: Assembly Basics347742 +Node: Assembly Carry Propagation348892 +Node: Assembly Cache Handling350722 +Node: Assembly Functional Units352883 +Node: Assembly Floating Point354502 +Node: Assembly SIMD Instructions358281 +Node: Assembly Software Pipelining359263 +Node: Assembly Loop Unrolling360324 +Node: Assembly Writing Guide362539 +Node: Internals365304 +Node: Integer Internals365816 +Node: Rational Internals368282 +Node: Float Internals369520 +Node: Raw Output Internals376925 +Node: C++ Interface Internals378120 +Node: Contributors381441 +Node: References387669 +Node: GNU Free Documentation License393588 +Node: Concept Index418730 +Node: Function Index466824 + +End Tag Table + + +Local Variables: +coding: iso-8859-1 +End: diff --git a/misc/builddeps/emscripten/gmp/share/info/gmp.info-1 b/misc/builddeps/emscripten/gmp/share/info/gmp.info-1 new file mode 100644 index 00000000..a30265d0 --- /dev/null +++ b/misc/builddeps/emscripten/gmp/share/info/gmp.info-1 @@ -0,0 +1,7025 @@ +This is gmp.info, produced by makeinfo version 6.7 from gmp.texi. + +This manual describes how to install and use the GNU multiple precision +arithmetic library, version 6.3.0. + + Copyright 1991, 1993-2016, 2018-2020 Free Software Foundation, Inc. + + Permission is granted to copy, distribute and/or modify this document +under the terms of the GNU Free Documentation License, Version 1.3 or +any later version published by the Free Software Foundation; with no +Invariant Sections, with the Front-Cover Texts being "A GNU Manual", and +with the Back-Cover Texts being "You have freedom to copy and modify +this GNU Manual, like GNU software". A copy of the license is included +in *note GNU Free Documentation License::. +INFO-DIR-SECTION GNU libraries +START-INFO-DIR-ENTRY +* gmp: (gmp). GNU Multiple Precision Arithmetic Library. +END-INFO-DIR-ENTRY + + +File: gmp.info, Node: Top, Next: Copying, Prev: (dir), Up: (dir) + +GNU MP +****** + +This manual describes how to install and use the GNU multiple precision +arithmetic library, version 6.3.0. + + Copyright 1991, 1993-2016, 2018-2020 Free Software Foundation, Inc. + + Permission is granted to copy, distribute and/or modify this document +under the terms of the GNU Free Documentation License, Version 1.3 or +any later version published by the Free Software Foundation; with no +Invariant Sections, with the Front-Cover Texts being "A GNU Manual", and +with the Back-Cover Texts being "You have freedom to copy and modify +this GNU Manual, like GNU software". A copy of the license is included +in *note GNU Free Documentation License::. + +* Menu: + +* Copying:: GMP Copying Conditions (LGPL). +* Introduction to GMP:: Brief introduction to GNU MP. +* Installing GMP:: How to configure and compile the GMP library. +* GMP Basics:: What every GMP user should know. +* Reporting Bugs:: How to usefully report bugs. +* Integer Functions:: Functions for arithmetic on signed integers. +* Rational Number Functions:: Functions for arithmetic on rational numbers. +* Floating-point Functions:: Functions for arithmetic on floats. +* Low-level Functions:: Fast functions for natural numbers. +* Random Number Functions:: Functions for generating random numbers. +* Formatted Output:: 'printf' style output. +* Formatted Input:: 'scanf' style input. +* C++ Class Interface:: Class wrappers around GMP types. +* Custom Allocation:: How to customize the internal allocation. +* Language Bindings:: Using GMP from other languages. +* Algorithms:: What happens behind the scenes. +* Internals:: How values are represented behind the scenes. + +* Contributors:: Who brings you this library? +* References:: Some useful papers and books to read. +* GNU Free Documentation License:: +* Concept Index:: +* Function Index:: + + +File: gmp.info, Node: Copying, Next: Introduction to GMP, Prev: Top, Up: Top + +GNU MP Copying Conditions +************************* + +This library is "free"; this means that everyone is free to use it and +free to redistribute it on a free basis. The library is not in the +public domain; it is copyrighted and there are restrictions on its +distribution, but these restrictions are designed to permit everything +that a good cooperating citizen would want to do. What is not allowed +is to try to prevent others from further sharing any version of this +library that they might get from you. + + Specifically, we want to make sure that you have the right to give +away copies of the library, that you receive source code or else can get +it if you want it, that you can change this library or use pieces of it +in new free programs, and that you know you can do these things. + + To make sure that everyone has such rights, we have to forbid you to +deprive anyone else of these rights. For example, if you distribute +copies of the GNU MP library, you must give the recipients all the +rights that you have. You must make sure that they, too, receive or can +get the source code. And you must tell them their rights. + + Also, for our own protection, we must make certain that everyone +finds out that there is no warranty for the GNU MP library. If it is +modified by someone else and passed on, we want their recipients to know +that what they have is not what we distributed, so that any problems +introduced by others will not reflect on our reputation. + + More precisely, the GNU MP library is dual licensed, under the +conditions of the GNU Lesser General Public License version 3 (see +'COPYING.LESSERv3'), or the GNU General Public License version 2 (see +'COPYINGv2'). This is the recipient's choice, and the recipient also +has the additional option of applying later versions of these licenses. +(The reason for this dual licensing is to make it possible to use the +library with programs which are licensed under GPL version 2, but which +for historical or other reasons do not allow use under later versions of +the GPL.) + + Programs which are not part of the library itself, such as +demonstration programs and the GMP testsuite, are licensed under the +terms of the GNU General Public License version 3 (see 'COPYINGv3'), or +any later version. + + +File: gmp.info, Node: Introduction to GMP, Next: Installing GMP, Prev: Copying, Up: Top + +1 Introduction to GNU MP +************************ + +GNU MP is a portable library written in C for arbitrary precision +arithmetic on integers, rational numbers, and floating-point numbers. +It aims to provide the fastest possible arithmetic for all applications +that need higher precision than is directly supported by the basic C +types. + + Many applications use just a few hundred bits of precision; but some +applications may need thousands or even millions of bits. GMP is +designed to give good performance for both, by choosing algorithms based +on the sizes of the operands, and by carefully keeping the overhead at a +minimum. + + The speed of GMP is achieved by using fullwords as the basic +arithmetic type, by using sophisticated algorithms, by including +carefully optimized assembly code for the most common inner loops for +many different CPUs, and by a general emphasis on speed (as opposed to +simplicity or elegance). + + There is assembly code for these CPUs: ARM Cortex-A9, Cortex-A15, and +generic ARM, DEC Alpha 21064, 21164, and 21264, AMD K8 and K10 (sold +under many brands, e.g. Athlon64, Phenom, Opteron), Bulldozer, and +Bobcat, Intel Pentium, Pentium Pro/II/III, Pentium 4, Core2, Nehalem, +Sandy bridge, Haswell, generic x86, Intel IA-64, Motorola/IBM PowerPC 32 +and 64 such as POWER970, POWER5, POWER6, and POWER7, MIPS 32-bit and +64-bit, SPARC 32-bit and 64-bit with special support for all UltraSPARC +models. There is also assembly code for many obsolete CPUs. + +For up-to-date information on GMP, please see the GMP web pages at + + + +The latest version of the library is available at + + + + Many sites around the world mirror 'ftp.gnu.org', please use a mirror +near you, see for a full list. + + There are three public mailing lists of interest. One for release +announcements, one for general questions and discussions about usage of +the GMP library and one for bug reports. For more information, see + + . + + The proper place for bug reports is . See *note +Reporting Bugs:: for information about reporting bugs. + + +1.1 How to use this Manual +========================== + +Everyone should read *note GMP Basics::. If you need to install the +library yourself, then read *note Installing GMP::. If you have a +system with multiple ABIs, then read *note ABI and ISA::, for the +compiler options that must be used on applications. + + The rest of the manual can be used for later reference, although it +is probably a good idea to glance through it. + + +File: gmp.info, Node: Installing GMP, Next: GMP Basics, Prev: Introduction to GMP, Up: Top + +2 Installing GMP +**************** + +GMP has an autoconf/automake/libtool based configuration system. On a +Unix-like system a basic build can be done with + + ./configure + make + +Some self-tests can be run with + + make check + +And you can install (under '/usr/local' by default) with + + make install + + If you experience problems, please report them to +. See *note Reporting Bugs::, for information on +what to include in useful bug reports. + +* Menu: + +* Build Options:: +* ABI and ISA:: +* Notes for Package Builds:: +* Notes for Particular Systems:: +* Known Build Problems:: +* Performance optimization:: + + +File: gmp.info, Node: Build Options, Next: ABI and ISA, Prev: Installing GMP, Up: Installing GMP + +2.1 Build Options +================= + +All the usual autoconf configure options are available, run './configure +--help' for a summary. The file 'INSTALL.autoconf' has some generic +installation information too. + +Tools + 'configure' requires various Unix-like tools. See *note Notes for + Particular Systems::, for some options on non-Unix systems. + + It might be possible to build without the help of 'configure', + certainly all the code is there, but unfortunately you'll be on + your own. + +Build Directory + To compile in a separate build directory, 'cd' to that directory, + and prefix the configure command with the path to the GMP source + directory. For example + + cd /my/build/dir + /my/sources/gmp-6.3.0/configure + + Not all 'make' programs have the necessary features ('VPATH') to + support this. In particular, SunOS and Slowaris 'make' have bugs + that make them unable to build in a separate directory. Use GNU + 'make' instead. + +'--prefix' and '--exec-prefix' + The '--prefix' option can be used in the normal way to direct GMP + to install under a particular tree. The default is '/usr/local'. + + '--exec-prefix' can be used to direct architecture-dependent files + like 'libgmp.a' to a different location. This can be used to share + architecture-independent parts like the documentation, but separate + the dependent parts. Note however that 'gmp.h' is + architecture-dependent since it encodes certain aspects of + 'libgmp', so it will be necessary to ensure both '$prefix/include' + and '$exec_prefix/include' are available to the compiler. + +'--disable-shared', '--disable-static' + By default both shared and static libraries are built (where + possible), but one or other can be disabled. Shared libraries + result in smaller executables and permit code sharing between + separate running processes, but on some CPUs are slightly slower, + having a small cost on each function call. + +Native Compilation, '--build=CPU-VENDOR-OS' + For normal native compilation, the system can be specified with + '--build'. By default './configure' uses the output from running + './config.guess'. On some systems './config.guess' can determine + the exact CPU type, on others it will be necessary to give it + explicitly. For example, + + ./configure --build=ultrasparc-sun-solaris2.7 + + In all cases the 'OS' part is important, since it controls how + libtool generates shared libraries. Running './config.guess' is + the simplest way to see what it should be, if you don't know + already. + +Cross Compilation, '--host=CPU-VENDOR-OS' + When cross-compiling, the system used for compiling is given by + '--build' and the system where the library will run is given by + '--host'. For example when using a FreeBSD Athlon system to build + GNU/Linux m68k binaries, + + ./configure --build=athlon-pc-freebsd3.5 --host=m68k-mac-linux-gnu + + Compiler tools are sought first with the host system type as a + prefix. For example 'm68k-mac-linux-gnu-ranlib' is tried, then + plain 'ranlib'. This makes it possible for a set of + cross-compiling tools to co-exist with native tools. The prefix is + the argument to '--host', and this can be an alias, such as + 'm68k-linux'. But note that tools don't have to be set up this + way, it's enough to just have a 'PATH' with a suitable + cross-compiling 'cc' etc. + + Compiling for a different CPU in the same family as the build + system is a form of cross-compilation, though very possibly this + would merely be special options on a native compiler. In any case + './configure' avoids depending on being able to run code on the + build system, which is important when creating binaries for a newer + CPU since they very possibly won't run on the build system. + + In all cases the compiler must be able to produce an executable (of + whatever format) from a standard C 'main'. Although only object + files will go to make up 'libgmp', './configure' uses linking tests + for various purposes, such as determining what functions are + available on the host system. + + Currently a warning is given unless an explicit '--build' is used + when cross-compiling, because it may not be possible to correctly + guess the build system type if the 'PATH' has only a + cross-compiling 'cc'. + + Note that the '--target' option is not appropriate for GMP. It's + for use when building compiler tools, with '--host' being where + they will run, and '--target' what they'll produce code for. + Ordinary programs or libraries like GMP are only interested in the + '--host' part, being where they'll run. (Some past versions of GMP + used '--target' incorrectly.) + +CPU types + In general, if you want a library that runs as fast as possible, + you should configure GMP for the exact CPU type your system uses. + However, this may mean the binaries won't run on older members of + the family, and might run slower on other members, older or newer. + The best idea is always to build GMP for the exact machine type you + intend to run it on. + + The following CPUs have specific support. See 'configure.ac' for + details of what code and compiler options they select. + + * Alpha: alpha, alphaev5, alphaev56, alphapca56, alphapca57, + alphaev6, alphaev67, alphaev68, alphaev7 + + * Cray: c90, j90, t90, sv1 + + * HPPA: hppa1.0, hppa1.1, hppa2.0, hppa2.0n, hppa2.0w, hppa64 + + * IA-64: ia64, itanium, itanium2 + + * MIPS: mips, mips3, mips64 + + * Motorola: m68k, m68000, m68010, m68020, m68030, m68040, + m68060, m68302, m68360, m88k, m88110 + + * POWER: power, power1, power2, power2sc + + * PowerPC: powerpc, powerpc64, powerpc401, powerpc403, + powerpc405, powerpc505, powerpc601, powerpc602, powerpc603, + powerpc603e, powerpc604, powerpc604e, powerpc620, powerpc630, + powerpc740, powerpc7400, powerpc7450, powerpc750, powerpc801, + powerpc821, powerpc823, powerpc860, powerpc970 + + * SPARC: sparc, sparcv8, microsparc, supersparc, sparcv9, + ultrasparc, ultrasparc2, ultrasparc2i, ultrasparc3, sparc64 + + * x86 family: i386, i486, i586, pentium, pentiummmx, pentiumpro, + pentium2, pentium3, pentium4, k6, k62, k63, athlon, amd64, + viac3, viac32 + + * Other: arm, sh, sh2, vax, + + CPUs not listed will use generic C code. + +Generic C Build + If some of the assembly code causes problems, or if otherwise + desired, the generic C code can be selected with the configure + '--disable-assembly'. + + Note that this will run quite slowly, but it should be portable and + should at least make it possible to get something running if all + else fails. + +Fat binary, '--enable-fat' + Using '--enable-fat' selects a "fat binary" build on x86, where + optimized low level subroutines are chosen at runtime according to + the CPU detected. This means more code, but gives good performance + on all x86 chips. (This option might become available for more + architectures in the future.) + +'ABI' + On some systems GMP supports multiple ABIs (application binary + interfaces), meaning data type sizes and calling conventions. By + default GMP chooses the best ABI available, but a particular ABI + can be selected. For example + + ./configure --host=mips64-sgi-irix6 ABI=n32 + + See *note ABI and ISA::, for the available choices on relevant + CPUs, and what applications need to do. + +'CC', 'CFLAGS' + By default the C compiler used is chosen from among some likely + candidates, with 'gcc' normally preferred if it's present. The + usual 'CC=whatever' can be passed to './configure' to choose + something different. + + For various systems, default compiler flags are set based on the + CPU and compiler. The usual 'CFLAGS="-whatever"' can be passed to + './configure' to use something different or to set good flags for + systems GMP doesn't otherwise know. + + The 'CC' and 'CFLAGS' used are printed during './configure', and + can be found in each generated 'Makefile'. This is the easiest way + to check the defaults when considering changing or adding + something. + + Note that when 'CC' and 'CFLAGS' are specified on a system + supporting multiple ABIs it's important to give an explicit + 'ABI=whatever', since GMP can't determine the ABI just from the + flags and won't be able to select the correct assembly code. + + If just 'CC' is selected then normal default 'CFLAGS' for that + compiler will be used (if GMP recognises it). For example 'CC=gcc' + can be used to force the use of GCC, with default flags (and + default ABI). + +'CPPFLAGS' + Any flags like '-D' defines or '-I' includes required by the + preprocessor should be set in 'CPPFLAGS' rather than 'CFLAGS'. + Compiling is done with both 'CPPFLAGS' and 'CFLAGS', but + preprocessing uses just 'CPPFLAGS'. This distinction is because + most preprocessors won't accept all the flags the compiler does. + Preprocessing is done separately in some configure tests. + +'CC_FOR_BUILD' + Some build-time programs are compiled and run to generate + host-specific data tables. 'CC_FOR_BUILD' is the compiler used for + this. It doesn't need to be in any particular ABI or mode, it + merely needs to generate executables that can run. The default is + to try the selected 'CC' and some likely candidates such as 'cc' + and 'gcc', looking for something that works. + + No flags are used with 'CC_FOR_BUILD' because a simple invocation + like 'cc foo.c' should be enough. If some particular options are + required they can be included as for instance 'CC_FOR_BUILD="cc + -whatever"'. + +C++ Support, '--enable-cxx' + C++ support in GMP can be enabled with '--enable-cxx', in which + case a C++ compiler will be required. As a convenience + '--enable-cxx=detect' can be used to enable C++ support only if a + compiler can be found. The C++ support consists of a library + 'libgmpxx.la' and header file 'gmpxx.h' (*note Headers and + Libraries::). + + A separate 'libgmpxx.la' has been adopted rather than having C++ + objects within 'libgmp.la' in order to ensure dynamic linked C + programs aren't bloated by a dependency on the C++ standard + library, and to avoid any chance that the C++ compiler could be + required when linking plain C programs. + + 'libgmpxx.la' will use certain internals from 'libgmp.la' and can + only be expected to work with 'libgmp.la' from the same GMP + version. Future changes to the relevant internals will be + accompanied by renaming, so a mismatch will cause unresolved + symbols rather than perhaps mysterious misbehaviour. + + In general 'libgmpxx.la' will be usable only with the C++ compiler + that built it, since name mangling and runtime support are usually + incompatible between different compilers. + +'CXX', 'CXXFLAGS' + When C++ support is enabled, the C++ compiler and its flags can be + set with variables 'CXX' and 'CXXFLAGS' in the usual way. The + default for 'CXX' is the first compiler that works from a list of + likely candidates, with 'g++' normally preferred when available. + The default for 'CXXFLAGS' is to try 'CFLAGS', 'CFLAGS' without + '-g', then for 'g++' either '-g -O2' or '-O2', or for other + compilers '-g' or nothing. Trying 'CFLAGS' this way is convenient + when using 'gcc' and 'g++' together, since the flags for 'gcc' will + usually suit 'g++'. + + It's important that the C and C++ compilers match, meaning their + startup and runtime support routines are compatible and that they + generate code in the same ABI (if there's a choice of ABIs on the + system). './configure' isn't currently able to check these things + very well itself, so for that reason '--disable-cxx' is the + default, to avoid a build failure due to a compiler mismatch. + Perhaps this will change in the future. + + Incidentally, it's normally not good enough to set 'CXX' to the + same as 'CC'. Although 'gcc' for instance recognises 'foo.cc' as + C++ code, only 'g++' will invoke the linker the right way when + building an executable or shared library from C++ object files. + +Temporary Memory, '--enable-alloca=' + GMP allocates temporary workspace using one of the following three + methods, which can be selected with for instance + '--enable-alloca=malloc-reentrant'. + + * 'alloca' - C library or compiler builtin. + * 'malloc-reentrant' - the heap, in a re-entrant fashion. + * 'malloc-notreentrant' - the heap, with global variables. + + For convenience, the following choices are also available. + '--disable-alloca' is the same as 'no'. + + * 'yes' - a synonym for 'alloca'. + * 'no' - a synonym for 'malloc-reentrant'. + * 'reentrant' - 'alloca' if available, otherwise + 'malloc-reentrant'. This is the default. + * 'notreentrant' - 'alloca' if available, otherwise + 'malloc-notreentrant'. + + 'alloca' is reentrant and fast, and is recommended. It actually + allocates just small blocks on the stack; larger ones use + malloc-reentrant. + + 'malloc-reentrant' is, as the name suggests, reentrant and thread + safe, but 'malloc-notreentrant' is faster and should be used if + reentrancy is not required. + + The two malloc methods in fact use the memory allocation functions + selected by 'mp_set_memory_functions', these being 'malloc' and + friends by default. *Note Custom Allocation::. + + An additional choice '--enable-alloca=debug' is available, to help + when debugging memory related problems (*note Debugging::). + +FFT Multiplication, '--disable-fft' + By default multiplications are done using Karatsuba, 3-way Toom, + higher degree Toom, and Fermat FFT. The FFT is only used on large + to very large operands and can be disabled to save code size if + desired. + +Assertion Checking, '--enable-assert' + This option enables some consistency checking within the library. + This can be of use while debugging, *note Debugging::. + +Execution Profiling, '--enable-profiling=prof/gprof/instrument' + Enable profiling support, in one of various styles, *note + Profiling::. + +'MPN_PATH' + Various assembly versions of each mpn subroutines are provided. + For a given CPU, a search is made through a path to choose a + version of each. For example 'sparcv8' has + + MPN_PATH="sparc32/v8 sparc32 generic" + + which means look first for v8 code, then plain sparc32 (which is + v7), and finally fall back on generic C. Knowledgeable users with + special requirements can specify a different path. Normally this + is completely unnecessary. + +Documentation + The source for the document you're now reading is 'doc/gmp.texi', + in Texinfo format, see *note Texinfo: (texinfo)Top. + + Info format 'doc/gmp.info' is included in the distribution. The + usual automake targets are available to make PostScript, DVI, PDF + and HTML (these will require various TeX and Texinfo tools). + + DocBook and XML can be generated by the Texinfo 'makeinfo' program + too, see *note Options for 'makeinfo': (texinfo)makeinfo options. + + Some supplementary notes can also be found in the 'doc' + subdirectory. + + +File: gmp.info, Node: ABI and ISA, Next: Notes for Package Builds, Prev: Build Options, Up: Installing GMP + +2.2 ABI and ISA +=============== + +ABI (Application Binary Interface) refers to the calling conventions +between functions, meaning what registers are used and what sizes the +various C data types are. ISA (Instruction Set Architecture) refers to +the instructions and registers a CPU has available. + + Some 64-bit ISA CPUs have both a 64-bit ABI and a 32-bit ABI defined, +the latter for compatibility with older CPUs in the family. GMP +supports some CPUs like this in both ABIs. In fact within GMP 'ABI' +means a combination of chip ABI, plus how GMP chooses to use it. For +example in some 32-bit ABIs, GMP may support a limb as either a 32-bit +'long' or a 64-bit 'long long'. + + By default GMP chooses the best ABI available for a given system, and +this generally gives significantly greater speed. But an ABI can be +chosen explicitly to make GMP compatible with other libraries, or +particular application requirements. For example, + + ./configure ABI=32 + + In all cases it's vital that all object code used in a given program +is compiled for the same ABI. + + Usually a limb is implemented as a 'long'. When a 'long long' limb +is used this is encoded in the generated 'gmp.h'. This is convenient +for applications, but it does mean that 'gmp.h' will vary, and can't be +just copied around. 'gmp.h' remains compiler independent though, since +all compilers for a particular ABI will be expected to use the same limb +type. + + Currently no attempt is made to follow whatever conventions a system +has for installing library or header files built for a particular ABI. +This will probably only matter when installing multiple builds of GMP, +and it might be as simple as configuring with a special 'libdir', or it +might require more than that. Note that builds for different ABIs need +to be done separately, with a fresh './configure' and 'make' each. + + +AMD64 ('x86_64') + On AMD64 systems supporting both 32-bit and 64-bit modes for + applications, the following ABI choices are available. + + 'ABI=64' + The 64-bit ABI uses 64-bit limbs and pointers and makes full + use of the chip architecture. This is the default. + Applications will usually not need special compiler flags, but + for reference the option is + + gcc -m64 + + 'ABI=32' + The 32-bit ABI is the usual i386 conventions. This will be + slower, and is not recommended except for inter-operating with + other code not yet 64-bit capable. Applications must be + compiled with + + gcc -m32 + + (In GCC 2.95 and earlier there's no '-m32' option, it's the + only mode.) + + 'ABI=x32' + The x32 ABI uses 64-bit limbs but 32-bit pointers. Like the + 64-bit ABI, it makes full use of the chip's arithmetic + capabilities. This ABI is not supported by all operating + systems. + + gcc -mx32 + + +HPPA 2.0 ('hppa2.0*', 'hppa64') + 'ABI=2.0w' + The 2.0w ABI uses 64-bit limbs and pointers and is available + on HP-UX 11 or up. Applications must be compiled with + + gcc [built for 2.0w] + cc +DD64 + + 'ABI=2.0n' + The 2.0n ABI means the 32-bit HPPA 1.0 ABI and all its normal + calling conventions, but with 64-bit instructions permitted + within functions. GMP uses a 64-bit 'long long' for a limb. + This ABI is available on hppa64 GNU/Linux and on HP-UX 10 or + higher. Applications must be compiled with + + gcc [built for 2.0n] + cc +DA2.0 +e + + Note that current versions of GCC (e.g. 3.2) don't generate + 64-bit instructions for 'long long' operations and so may be + slower than for 2.0w. (The GMP assembly code is the same + though.) + + 'ABI=1.0' + HPPA 2.0 CPUs can run all HPPA 1.0 and 1.1 code in the 32-bit + HPPA 1.0 ABI. No special compiler options are needed for + applications. + + All three ABIs are available for CPU types 'hppa2.0w', 'hppa2.0' + and 'hppa64', but for CPU type 'hppa2.0n' only 2.0n or 1.0 are + considered. + + Note that GCC on HP-UX has no options to choose between 2.0n and + 2.0w modes, unlike HP 'cc'. Instead it must be built for one or + the other ABI. GMP will detect how it was built, and skip to the + corresponding 'ABI'. + + +IA-64 under HP-UX ('ia64*-*-hpux*', 'itanium*-*-hpux*') + HP-UX supports two ABIs for IA-64. GMP performance is the same in + both. + + 'ABI=32' + In the 32-bit ABI, pointers, 'int's and 'long's are 32 bits + and GMP uses a 64 bit 'long long' for a limb. Applications + can be compiled without any special flags since this ABI is + the default in both HP C and GCC, but for reference the flags + are + + gcc -milp32 + cc +DD32 + + 'ABI=64' + In the 64-bit ABI, 'long's and pointers are 64 bits and GMP + uses a 'long' for a limb. Applications must be compiled with + + gcc -mlp64 + cc +DD64 + + On other IA-64 systems, GNU/Linux for instance, 'ABI=64' is the + only choice. + + +MIPS under IRIX 6 ('mips*-*-irix[6789]') + IRIX 6 always has a 64-bit MIPS 3 or better CPU, and supports ABIs + o32, n32, and 64. n32 or 64 are recommended, and GMP performance + will be the same in each. The default is n32. + + 'ABI=o32' + The o32 ABI is 32-bit pointers and integers, and no 64-bit + operations. GMP will be slower than in n32 or 64, this option + only exists to support old compilers, e.g. GCC 2.7.2. + Applications can be compiled with no special flags on an old + compiler, or on a newer compiler with + + gcc -mabi=32 + cc -32 + + 'ABI=n32' + The n32 ABI is 32-bit pointers and integers, but with a 64-bit + limb using a 'long long'. Applications must be compiled with + + gcc -mabi=n32 + cc -n32 + + 'ABI=64' + The 64-bit ABI is 64-bit pointers and integers. Applications + must be compiled with + + gcc -mabi=64 + cc -64 + + Note that MIPS GNU/Linux, as of kernel version 2.2, doesn't have + the necessary support for n32 or 64 and so only gets a 32-bit limb + and the MIPS 2 code. + + +PowerPC 64 ('powerpc64', 'powerpc620', 'powerpc630', 'powerpc970', 'power4', 'power5') + 'ABI=mode64' + The AIX 64 ABI uses 64-bit limbs and pointers and is the + default on PowerPC 64 '*-*-aix*' systems. Applications must + be compiled with + + gcc -maix64 + xlc -q64 + + On 64-bit GNU/Linux, BSD, and Mac OS X/Darwin systems, the + applications must be compiled with + + gcc -m64 + + 'ABI=mode32' + The 'mode32' ABI uses a 64-bit 'long long' limb but with the + chip still in 32-bit mode and using 32-bit calling + conventions. This is the default for systems where the true + 64-bit ABI is unavailable. No special compiler options are + typically needed for applications. This ABI is not available + under AIX. + + 'ABI=32' + This is the basic 32-bit PowerPC ABI, with a 32-bit limb. No + special compiler options are needed for applications. + + GMP's speed is greatest for the 'mode64' ABI, the 'mode32' ABI is + 2nd best. In 'ABI=32' only the 32-bit ISA is used and this doesn't + make full use of a 64-bit chip. + + +Sparc V9 ('sparc64', 'sparcv9', 'ultrasparc*') + 'ABI=64' + The 64-bit V9 ABI is available on the various BSD sparc64 + ports, recent versions of Sparc64 GNU/Linux, and Solaris 2.7 + and up (when the kernel is in 64-bit mode). GCC 3.2 or + higher, or Sun 'cc' is required. On GNU/Linux, depending on + the default 'gcc' mode, applications must be compiled with + + gcc -m64 + + On Solaris applications must be compiled with + + gcc -m64 -mptr64 -Wa,-xarch=v9 -mcpu=v9 + cc -xarch=v9 + + On the BSD sparc64 systems no special options are required, + since 64-bits is the only ABI available. + + 'ABI=32' + For the basic 32-bit ABI, GMP still uses as much of the V9 ISA + as it can. In the Sun documentation this combination is known + as "v8plus". On GNU/Linux, depending on the default 'gcc' + mode, applications may need to be compiled with + + gcc -m32 + + On Solaris, no special compiler options are required for + applications, though using something like the following is + recommended. ('gcc' 2.8 and earlier only support '-mv8' + though.) + + gcc -mv8plus + cc -xarch=v8plus + + GMP speed is greatest in 'ABI=64', so it's the default where + available. The speed is partly because there are extra registers + available and partly because 64-bits is considered the more + important case and has therefore had better code written for it. + + Don't be confused by the names of the '-m' and '-x' compiler + options, they're called 'arch' but effectively control both ABI and + ISA. + + On Solaris 2.6 and earlier, only 'ABI=32' is available since the + kernel doesn't save all registers. + + On Solaris 2.7 with the kernel in 32-bit mode, a normal native + build will reject 'ABI=64' because the resulting executables won't + run. 'ABI=64' can still be built if desired by making it look like + a cross-compile, for example + + ./configure --build=none --host=sparcv9-sun-solaris2.7 ABI=64 + + +File: gmp.info, Node: Notes for Package Builds, Next: Notes for Particular Systems, Prev: ABI and ISA, Up: Installing GMP + +2.3 Notes for Package Builds +============================ + +GMP should present no great difficulties for packaging in a binary +distribution. + + Libtool is used to build the library and '-version-info' is set +appropriately, having started from '3:0:0' in GMP 3.0 (*note Library +interface versions: (libtool)Versioning.). + + The GMP 4 series will be upwardly binary compatible in each release +and will be upwardly binary compatible with all of the GMP 3 series. +Additional function interfaces may be added in each release, so on +systems where libtool versioning is not fully checked by the loader an +auxiliary mechanism may be needed to express that a dynamic linked +application depends on a new enough GMP. + + An auxiliary mechanism may also be needed to express that +'libgmpxx.la' (from '--enable-cxx', *note Build Options::) requires +'libgmp.la' from the same GMP version, since this is not done by the +libtool versioning, nor otherwise. A mismatch will result in unresolved +symbols from the linker, or perhaps the loader. + + When building a package for a CPU family, care should be taken to use +'--host' (or '--build') to choose the least common denominator among the +CPUs which might use the package. For example this might mean plain +'sparc' (meaning V7) for SPARCs. + + For x86s, '--enable-fat' sets things up for a fat binary build, +making a runtime selection of optimized low level routines. This is a +good choice for packaging to run on a range of x86 chips. + + Users who care about speed will want GMP built for their exact CPU +type, to make best use of the available optimizations. Providing a way +to suitably rebuild a package may be useful. This could be as simple as +making it possible for a user to omit '--build' (and '--host') so +'./config.guess' will detect the CPU. But a way to manually specify a +'--build' will be wanted for systems where './config.guess' is inexact. + + On systems with multiple ABIs, a packaged build will need to decide +which among the choices is to be provided, see *note ABI and ISA::. A +given run of './configure' etc will only build one ABI. If a second ABI +is also required then a second run of './configure' etc must be made, +starting from a clean directory tree ('make distclean'). + + As noted under "ABI and ISA", currently no attempt is made to follow +system conventions for install locations that vary with ABI, such as +'/usr/lib/sparcv9' for 'ABI=64' as opposed to '/usr/lib' for 'ABI=32'. +A package build can override 'libdir' and other standard variables as +necessary. + + Note that 'gmp.h' is a generated file, and will be architecture and +ABI dependent. When attempting to install two ABIs simultaneously it +will be important that an application compile gets the correct 'gmp.h' +for its desired ABI. If compiler include paths don't vary with ABI +options then it might be necessary to create a '/usr/include/gmp.h' +which tests preprocessor symbols and chooses the correct actual 'gmp.h'. + + +File: gmp.info, Node: Notes for Particular Systems, Next: Known Build Problems, Prev: Notes for Package Builds, Up: Installing GMP + +2.4 Notes for Particular Systems +================================ + +AIX 3 and 4 + On systems '*-*-aix[34]*' shared libraries are disabled by default, + since some versions of the native 'ar' fail on the convenience + libraries used. A shared build can be attempted with + + ./configure --enable-shared --disable-static + + Note that the '--disable-static' is necessary because in a shared + build libtool makes 'libgmp.a' a symlink to 'libgmp.so', apparently + for the benefit of old versions of 'ld' which only recognise '.a', + but unfortunately this is done even if a fully functional 'ld' is + available. + +ARM + On systems 'arm*-*-*', versions of GCC up to and including 2.95.3 + have a bug in unsigned division, giving wrong results for some + operands. GMP './configure' will demand GCC 2.95.4 or later. + +Compaq C++ + Compaq C++ on OSF 5.1 has two flavours of 'iostream', a standard + one and an old pre-standard one (see 'man iostream_intro'). GMP + can only use the standard one, which unfortunately is not the + default but must be selected by defining '__USE_STD_IOSTREAM'. + Configure with for instance + + ./configure --enable-cxx CPPFLAGS=-D__USE_STD_IOSTREAM + +Floating Point Mode + On some systems, the hardware floating point has a control mode + which can set all operations to be done in a particular precision, + for instance single, double or extended on x86 systems (x87 + floating point). The GMP functions involving a 'double' cannot be + expected to operate to their full precision when the hardware is in + single precision mode. Of course this affects all code, including + application code, not just GMP. + +FreeBSD 7.x, 8.x, 9.0, 9.1, 9.2 + 'm4' in these releases of FreeBSD has an eval function which + ignores its 2nd and 3rd arguments, which makes it unsuitable for + '.asm' file processing. './configure' will detect the problem and + either abort or choose another m4 in the 'PATH'. The bug is fixed + in FreeBSD 9.3 and 10.0, so either upgrade or use GNU m4. Note + that the FreeBSD package system installs GNU m4 under the name + 'gm4', which GMP cannot guess. + +FreeBSD 7.x, 8.x, 9.x + GMP releases starting with 6.0 do not support 'ABI=32' on + FreeBSD/amd64 prior to release 10.0 of the system. The cause is a + broken 'limits.h', which GMP no longer works around. + +MS-DOS and MS Windows + On an MS-DOS system DJGPP can be used to build GMP, and on an MS + Windows system Cygwin, DJGPP and MINGW can be used. All three are + excellent ports of GCC and the various GNU tools. + + + + + + Microsoft also publishes an Interix "Services for Unix" which can + be used to build GMP on Windows (with a normal './configure'), but + it's not free software. + +MS Windows DLLs + On systems '*-*-cygwin*', '*-*-mingw*' and '*-*-pw32*' by default + GMP builds only a static library, but a DLL can be built instead + using + + ./configure --disable-static --enable-shared + + Static and DLL libraries can't both be built, since certain export + directives in 'gmp.h' must be different. + + A MINGW DLL build of GMP can be used with Microsoft C. Libtool + doesn't install a '.lib' format import library, but it can be + created with MS 'lib' as follows, and copied to the install + directory. Similarly for 'libmp' and 'libgmpxx'. + + cd .libs + lib /def:libgmp-3.dll.def /out:libgmp-3.lib + + MINGW uses the C runtime library 'msvcrt.dll' for I/O, so + applications wanting to use the GMP I/O routines must be compiled + with 'cl /MD' to do the same. If one of the other C runtime + library choices provided by MS C is desired then the suggestion is + to use the GMP string functions and confine I/O to the application. + +Motorola 68k CPU Types + 'm68k' is taken to mean 68000. 'm68020' or higher will give a + performance boost on applicable CPUs. 'm68360' can be used for + CPU32 series chips. 'm68302' can be used for "Dragonball" series + chips, though this is merely a synonym for 'm68000'. + +NetBSD 5.x + 'm4' in these releases of NetBSD has an eval function which ignores + its 2nd and 3rd arguments, which makes it unsuitable for '.asm' + file processing. './configure' will detect the problem and either + abort or choose another m4 in the 'PATH'. The bug is fixed in + NetBSD 6, so either upgrade or use GNU m4. Note that the NetBSD + package system installs GNU m4 under the name 'gm4', which GMP + cannot guess. + +OpenBSD 2.6 + 'm4' in this release of OpenBSD has a bug in 'eval' that makes it + unsuitable for '.asm' file processing. './configure' will detect + the problem and either abort or choose another m4 in the 'PATH'. + The bug is fixed in OpenBSD 2.7, so either upgrade or use GNU m4. + +Power CPU Types + In GMP, CPU types 'power*' and 'powerpc*' will each use + instructions not available on the other, so it's important to + choose the right one for the CPU that will be used. Currently GMP + has no assembly code support for using just the common instruction + subset. To get executables that run on both, the current + suggestion is to use the generic C code ('--disable-assembly'), + possibly with appropriate compiler options (like '-mcpu=common' for + 'gcc'). CPU 'rs6000' (which is not a CPU but a family of + workstations) is accepted by 'config.sub', but is currently + equivalent to '--disable-assembly'. + +Sparc CPU Types + 'sparcv8' or 'supersparc' on relevant systems will give a + significant performance increase over the V7 code selected by plain + 'sparc'. + +Sparc App Regs + The GMP assembly code for both 32-bit and 64-bit Sparc clobbers the + "application registers" 'g2', 'g3' and 'g4', the same way that the + GCC default '-mapp-regs' does (*note SPARC Options: (gcc)SPARC + Options.). + + This makes that code unsuitable for use with the special V9 + '-mcmodel=embmedany' (which uses 'g4' as a data segment pointer), + and for applications wanting to use those registers for special + purposes. In these cases the only suggestion currently is to build + GMP with '--disable-assembly' to avoid the assembly code. + +SunOS 4 + '/usr/bin/m4' lacks various features needed to process '.asm' + files, and instead './configure' will automatically use + '/usr/5bin/m4', which we believe is always available (if not then + use GNU m4). + +x86 CPU Types + 'i586', 'pentium' or 'pentiummmx' code is good for its intended P5 + Pentium chips, but quite slow when run on Intel P6 class chips + (PPro, P-II, P-III). 'i386' is a better choice when making + binaries that must run on both. + +x86 MMX and SSE2 Code + If the CPU selected has MMX code but the assembler doesn't support + it, a warning is given and non-MMX code is used instead. This will + be an inferior build, since the MMX code that's present is there + because it's faster than the corresponding plain integer code. The + same applies to SSE2. + + Old versions of 'gas' don't support MMX instructions, in particular + version 1.92.3 that comes with FreeBSD 2.2.8 or the more recent + OpenBSD 3.1 doesn't. + + Solaris 2.6 and 2.7 'as' generate incorrect object code for + register to register 'movq' instructions, and so can't be used for + MMX code. Install a recent 'gas' if MMX code is wanted on these + systems. + + +File: gmp.info, Node: Known Build Problems, Next: Performance optimization, Prev: Notes for Particular Systems, Up: Installing GMP + +2.5 Known Build Problems +======================== + +You might find more up-to-date information at . + +Compiler link options + The version of libtool currently in use rather aggressively strips + compiler options when linking a shared library. This will + hopefully be relaxed in the future, but for now if this is a + problem the suggestion is to create a little script to hide them, + and for instance configure with + + ./configure CC=gcc-with-my-options + +DJGPP ('*-*-msdosdjgpp*') + The DJGPP port of 'bash' 2.03 is unable to run the 'configure' + script, it exits silently, having died writing a preamble to + 'config.log'. Use 'bash' 2.04 or higher. + + 'make all' was found to run out of memory during the final + 'libgmp.la' link on one system tested, despite having 64MiB + available. Running 'make libgmp.la' directly helped, perhaps + recursing into the various subdirectories uses up memory. + +GNU binutils 'strip' prior to 2.12 + 'strip' from GNU binutils 2.11 and earlier should not be used on + the static libraries 'libgmp.a' and 'libmp.a' since it will discard + all but the last of multiple archive members with the same name, + like the three versions of 'init.o' in 'libgmp.a'. Binutils 2.12 + or higher can be used successfully. + + The shared libraries 'libgmp.so' and 'libmp.so' are not affected by + this and any version of 'strip' can be used on them. + +'make' syntax error + On certain versions of SCO OpenServer 5 and IRIX 6.5 the native + 'make' is unable to handle the long dependencies list for + 'libgmp.la'. The symptom is a "syntax error" on the following line + of the top-level 'Makefile'. + + libgmp.la: $(libgmp_la_OBJECTS) $(libgmp_la_DEPENDENCIES) + + Either use GNU Make, or as a workaround remove + '$(libgmp_la_DEPENDENCIES)' from that line (which will make the + initial build work, but if any recompiling is done 'libgmp.la' + might not be rebuilt). + +MacOS X ('*-*-darwin*') + Libtool currently only knows how to create shared libraries on + MacOS X using the native 'cc' (which is a modified GCC), not a + plain GCC. A static-only build should work though + ('--disable-shared'). + +NeXT prior to 3.3 + The system compiler on old versions of NeXT was a massacred and old + GCC, even if it called itself 'cc'. This compiler cannot be used + to build GMP, you need to get a real GCC, and install that. (NeXT + may have fixed this in release 3.3 of their system.) + +POWER and PowerPC + Bugs in GCC 2.7.2 (and 2.6.3) mean it can't be used to compile GMP + on POWER or PowerPC. If you want to use GCC for these machines, + get GCC 2.7.2.1 (or later). + +Sequent Symmetry + Use the GNU assembler instead of the system assembler, since the + latter has serious bugs. + +Solaris 2.6 + The system 'sed' prints an error "Output line too long" when + libtool builds 'libgmp.la'. This doesn't seem to cause any obvious + ill effects, but GNU 'sed' is recommended, to avoid any doubt. + +Sparc Solaris 2.7 with gcc 2.95.2 in 'ABI=32' + A shared library build of GMP seems to fail in this combination, it + builds but then fails the tests, apparently due to some incorrect + data relocations within 'gmp_randinit_lc_2exp_size'. The exact + cause is unknown, '--disable-shared' is recommended. + + +File: gmp.info, Node: Performance optimization, Prev: Known Build Problems, Up: Installing GMP + +2.6 Performance optimization +============================ + +For optimal performance, build GMP for the exact CPU type of the target +computer, see *note Build Options::. + + Unlike what is the case for most other programs, the compiler +typically doesn't matter much, since GMP uses assembly language for the +most critical operation. + + In particular for long-running GMP applications, and applications +demanding extremely large numbers, building and running the 'tuneup' +program in the 'tune' subdirectory can be important. For example, + + cd tune + make tuneup + ./tuneup + + will generate better contents for the 'gmp-mparam.h' parameter file. + + To use the results, put the output in the file indicated in the +'Parameters for ...' header. Then recompile from scratch. + + The 'tuneup' program takes one useful parameter, '-f NNN', which +instructs the program how long to check FFT multiply parameters. If +you're going to use GMP for extremely large numbers, you may want to run +'tuneup' with a large NNN value. + + +File: gmp.info, Node: GMP Basics, Next: Reporting Bugs, Prev: Installing GMP, Up: Top + +3 GMP Basics +************ + +*Using functions, macros, data types, etc. not documented in this manual +is strongly discouraged. If you do so your application is guaranteed to +be incompatible with future versions of GMP.* + +* Menu: + +* Headers and Libraries:: +* Nomenclature and Types:: +* Function Classes:: +* Variable Conventions:: +* Parameter Conventions:: +* Memory Management:: +* Reentrancy:: +* Useful Macros and Constants:: +* Compatibility with older versions:: +* Demonstration Programs:: +* Efficiency:: +* Debugging:: +* Profiling:: +* Autoconf:: +* Emacs:: + + +File: gmp.info, Node: Headers and Libraries, Next: Nomenclature and Types, Prev: GMP Basics, Up: GMP Basics + +3.1 Headers and Libraries +========================= + +All declarations needed to use GMP are collected in the include file +'gmp.h', except for the *note C++ Class Interface:: which comes with its +own separate header 'gmpxx.h'. 'gmp.h' is designed to work with both C +and C++ compilers. + + #include + + Note however that prototypes for GMP functions with 'FILE *' +parameters are only provided if '' is included before. + + #include + #include + + Likewise '' is required for prototypes with 'va_list' +parameters, such as 'gmp_vprintf'. And '' for prototypes +with 'struct obstack' parameters, such as 'gmp_obstack_printf', when +available. + + All programs using GMP must link against the 'libgmp' library. On a +typical Unix-like system this can be done with '-lgmp', for example + + gcc myprogram.c -lgmp + + GMP C++ functions are in a separate 'libgmpxx' library, including the +*note C++ Class Interface:: but also *note C++ Formatted Output:: for +regular GMP types. This is built and installed if C++ support has been +enabled (*note Build Options::). For example, + + g++ mycxxprog.cc -lgmpxx -lgmp + + GMP is built using Libtool and an application can use that to link if +desired, *note GNU Libtool: (libtool)Top. + + If GMP has been installed to a non-standard location then it may be +necessary to use '-I' and '-L' compiler options to point to the right +directories, and some sort of run-time path for a shared library. + + +File: gmp.info, Node: Nomenclature and Types, Next: Function Classes, Prev: Headers and Libraries, Up: GMP Basics + +3.2 Nomenclature and Types +========================== + +In this manual, "integer" usually means a multiple precision integer, as +defined by the GMP library. The C data type for such integers is +'mpz_t'. Here are some examples of how to declare such integers: + + mpz_t sum; + + struct foo { mpz_t x, y; }; + + mpz_t vec[20]; + + "Rational number" means a multiple precision fraction. The C data +type for these fractions is 'mpq_t'. For example: + + mpq_t quotient; + + "Floating point number" or "Float" for short, is an arbitrary +precision mantissa with a limited precision exponent. The C data type +for such objects is 'mpf_t'. For example: + + mpf_t fp; + + The floating point functions accept and return exponents in the C +type 'mp_exp_t'. Currently this is usually a 'long', but on some +systems it's an 'int' for efficiency. + + A "limb" means the part of a multi-precision number that fits in a +single machine word. (We chose this word because a limb of the human +body is analogous to a digit, only larger, and containing several +digits.) Normally a limb is 32 or 64 bits. The C data type for a limb +is 'mp_limb_t'. + + Counts of limbs of a multi-precision number represented in the C type +'mp_size_t'. Currently this is normally a 'long', but on some systems +it's an 'int' for efficiency, and on some systems it will be 'long long' +in the future. + + Counts of bits of a multi-precision number are represented in the C +type 'mp_bitcnt_t'. Currently this is always an 'unsigned long', but on +some systems it will be an 'unsigned long long' in the future. + + "Random state" means an algorithm selection and current state data. +The C data type for such objects is 'gmp_randstate_t'. For example: + + gmp_randstate_t rstate; + + Also, in general 'mp_bitcnt_t' is used for bit counts and ranges, and +'size_t' is used for byte or character counts. + + + Internally, GMP data types such as 'mpz_t' are defined as one-element +arrays, whose element type is part of the GMP internals (*note +Internals::). + + When an array is used as a function argument in C, it is not passed +by value, instead its value is a pointer to the first element. In C +jargon, this is sometimes referred to as the array "decaying" to a +pointer. For GMP types like 'mpz_t', that means that the function +called gets a pointer to the caller's 'mpz_t' value, which is why no +explicit '&' operator is needed when passing output arguments (*note +Parameter Conventions::). + + GMP defines names for these pointer types, e.g., 'mpz_ptr' +corresponding to 'mpz_t', and 'mpz_srcptr' corresponding to 'const +mpz_t'. Most functions don't need to use these pointer types directly; +it works fine to declare a function using the 'mpz_t' or 'const mpz_t' +as the argument types, the same "pointer decay" happens in the +background regardless. + + Occasionally, it is useful to manipulate pointers directly, e.g., to +conditionally swap _references_ to a function's inputs without changing +the _values_ as seen by the caller, or returning a pointer to an 'mpz_t' +which is part of a larger structure. For these cases, the pointer types +are necessary. And a 'mpz_ptr' can be passed as argument to any GMP +function declared to take an 'mpz_t' argument. + + Their definition is equivalent to the following code, which is given +for illustratory purposes only: + + typedef foo_internal foo_t[1]; + typedef foo_internal * foo_ptr; + typedef const foo_internal * foo_srcptr; + + The following pointer types are defined by GMP: + * 'mpz_ptr' for pointers to the element type in 'mpz_t' + * 'mpz_srcptr' for 'const' pointers to the element type in 'mpz_t' + * 'mpq_ptr' for pointers to the element type in 'mpq_t' + * 'mpq_srcptr' for 'const' pointers to the element type in 'mpq_t' + * 'mpf_ptr' for pointers to the element type in 'mpf_t' + * 'mpf_srcptr' for 'const' pointers to the element type in 'mpf_t' + * 'gmp_randstate_ptr' for pointers to the element type in + 'gmp_randstate_t' + * 'gmp_randstate_srcptr' for 'const' pointers to the element type in + 'gmp_randstate_t' + + +File: gmp.info, Node: Function Classes, Next: Variable Conventions, Prev: Nomenclature and Types, Up: GMP Basics + +3.3 Function Classes +==================== + +There are six classes of functions in the GMP library: + + 1. Functions for signed integer arithmetic, with names beginning with + 'mpz_'. The associated type is 'mpz_t'. There are about 150 + functions in this class. (*note Integer Functions::) + + 2. Functions for rational number arithmetic, with names beginning with + 'mpq_'. The associated type is 'mpq_t'. There are about 35 + functions in this class, but the integer functions can be used for + arithmetic on the numerator and denominator separately. (*note + Rational Number Functions::) + + 3. Functions for floating-point arithmetic, with names beginning with + 'mpf_'. The associated type is 'mpf_t'. There are about 70 + functions in this class. (*note Floating-point Functions::) + + 4. Fast low-level functions that operate on natural numbers. These + are used by the functions in the preceding groups, and you can also + call them directly from very time-critical user programs. These + functions' names begin with 'mpn_'. The associated type is array + of 'mp_limb_t'. There are about 60 (hard-to-use) functions in this + class. (*note Low-level Functions::) + + 5. Miscellaneous functions. Functions for setting up custom + allocation and functions for generating random numbers. (*note + Custom Allocation::, and *note Random Number Functions::) + + +File: gmp.info, Node: Variable Conventions, Next: Parameter Conventions, Prev: Function Classes, Up: GMP Basics + +3.4 Variable Conventions +======================== + +GMP functions generally have output arguments before input arguments. +This notation is by analogy with the assignment operator. + + GMP lets you use the same variable for both input and output in one +call. For example, the main function for integer multiplication, +'mpz_mul', can be used to square 'x' and put the result back in 'x' with + + mpz_mul (x, x, x); + + Before you can assign to a GMP variable, you need to initialize it by +calling one of the special initialization functions. When you're done +with a variable, you need to clear it out, using one of the functions +for that purpose. Which function to use depends on the type of +variable. See the chapters on integer functions, rational number +functions, and floating-point functions for details. + + A variable should only be initialized once, or at least cleared +between each initialization. After a variable has been initialized, it +may be assigned to any number of times. + + For efficiency reasons, avoid excessive initializing and clearing. +In general, initialize near the start of a function and clear near the +end. For example, + + void + foo (void) + { + mpz_t n; + int i; + mpz_init (n); + for (i = 1; i < 100; i++) + { + mpz_mul (n, ...); + mpz_fdiv_q (n, ...); + ... + } + mpz_clear (n); + } + + GMP types like 'mpz_t' are implemented as one-element arrays of +certain structures. Declaring a variable creates an object with the +fields GMP needs, but variables are normally manipulated by using the +pointer to the object. The appropriate pointer types (*note +Nomenclature and Types::) may be used to explicitly manipulate the +pointer. For both behavior and efficiency reasons, it is discouraged to +make copies of the GMP object itself (either directly or via aggregate +objects containing such GMP objects). If copies are done, all of them +must be used read-only; using a copy as the output of some function will +invalidate all the other copies. Note that the actual fields in each +'mpz_t' etc are for internal use only and should not be accessed +directly by code that expects to be compatible with future GMP releases. + + +File: gmp.info, Node: Parameter Conventions, Next: Memory Management, Prev: Variable Conventions, Up: GMP Basics + +3.5 Parameter Conventions +========================= + +When a GMP variable is used as a function parameter, it's effectively a +call-by-reference, meaning that when the function stores a value there +it will change the original in the caller. Parameters which are +input-only can be designated 'const' to provoke a compiler error or +warning on attempting to modify them. + + When a function is going to return a GMP result, it should designate +a parameter that it sets, like the library functions do. More than one +value can be returned by having more than one output parameter, again +like the library functions. A 'return' of an 'mpz_t' etc doesn't return +the object, only a pointer, and this is almost certainly not what's +wanted. + + Here's an example accepting an 'mpz_t' parameter, doing a +calculation, and storing the result to the indicated parameter. + + void + foo (mpz_t result, const mpz_t param, unsigned long n) + { + unsigned long i; + mpz_mul_ui (result, param, n); + for (i = 1; i < n; i++) + mpz_add_ui (result, result, i*7); + } + + int + main (void) + { + mpz_t r, n; + mpz_init (r); + mpz_init_set_str (n, "123456", 0); + foo (r, n, 20L); + gmp_printf ("%Zd\n", r); + return 0; + } + + Our function 'foo' works even if its caller passes the same variable +for 'param' and 'result', just like the library functions. But +sometimes it's tricky to make that work, and an application might not +want to bother supporting that sort of thing. + + Since GMP types are implemented as one-element arrays, using a GMP +variable as a parameter passes a pointer to the object. Hence the +call-by-reference. A more explicit (and equivalent) prototype for our +function 'foo' could be: + + void foo (mpz_ptr result, mpz_srcptr param, unsigned long n); + + +File: gmp.info, Node: Memory Management, Next: Reentrancy, Prev: Parameter Conventions, Up: GMP Basics + +3.6 Memory Management +===================== + +The GMP types like 'mpz_t' are small, containing only a couple of sizes, +and pointers to allocated data. Once a variable is initialized, GMP +takes care of all space allocation. Additional space is allocated +whenever a variable doesn't have enough. + + 'mpz_t' and 'mpq_t' variables never reduce their allocated space. +Normally this is the best policy, since it avoids frequent reallocation. +Applications that need to return memory to the heap at some particular +point can use 'mpz_realloc2', or clear variables no longer needed. + + 'mpf_t' variables, in the current implementation, use a fixed amount +of space, determined by the chosen precision and allocated at +initialization, so their size doesn't change. + + All memory is allocated using 'malloc' and friends by default, but +this can be changed, see *note Custom Allocation::. Temporary memory on +the stack is also used (via 'alloca'), but this can be changed at +build-time if desired, see *note Build Options::. + + +File: gmp.info, Node: Reentrancy, Next: Useful Macros and Constants, Prev: Memory Management, Up: GMP Basics + +3.7 Reentrancy +============== + +GMP is reentrant and thread-safe, with some exceptions: + + * If configured with '--enable-alloca=malloc-notreentrant' (or with + '--enable-alloca=notreentrant' when 'alloca' is not available), + then naturally GMP is not reentrant. + + * 'mpf_set_default_prec' and 'mpf_init' use a global variable for the + selected precision. 'mpf_init2' can be used instead, and in the + C++ interface an explicit precision to the 'mpf_class' constructor. + + * 'mpz_random' and the other old random number functions use a global + random state and are hence not reentrant. The newer random number + functions that accept a 'gmp_randstate_t' parameter can be used + instead. + + * 'gmp_randinit' (obsolete) returns an error indication through a + global variable, which is not thread safe. Applications are + advised to use 'gmp_randinit_default' or 'gmp_randinit_lc_2exp' + instead. + + * 'mp_set_memory_functions' uses global variables to store the + selected memory allocation functions. + + * If the memory allocation functions set by a call to + 'mp_set_memory_functions' (or 'malloc' and friends by default) are + not reentrant, then GMP will not be reentrant either. + + * If the standard I/O functions such as 'fwrite' are not reentrant + then the GMP I/O functions using them will not be reentrant either. + + * It's safe for two threads to read from the same GMP variable + simultaneously, but it's not safe for one to read while another + might be writing, nor for two threads to write simultaneously. + It's not safe for two threads to generate a random number from the + same 'gmp_randstate_t' simultaneously, since this involves an + update of that variable. + + +File: gmp.info, Node: Useful Macros and Constants, Next: Compatibility with older versions, Prev: Reentrancy, Up: GMP Basics + +3.8 Useful Macros and Constants +=============================== + + -- Global Constant: const int mp_bits_per_limb + The number of bits per limb. + + -- Macro: __GNU_MP_VERSION + -- Macro: __GNU_MP_VERSION_MINOR + -- Macro: __GNU_MP_VERSION_PATCHLEVEL + The major and minor GMP version, and patch level, respectively, as + integers. For GMP i.j, these numbers will be i, j, and 0, + respectively. For GMP i.j.k, these numbers will be i, j, and k, + respectively. + + -- Global Constant: const char * const gmp_version + The GMP version number, as a null-terminated string, in the form + "i.j.k". This release is "6.3.0". Note that the format "i.j" was + used, before version 4.3.0, when k was zero. + + -- Macro: __GMP_CC + -- Macro: __GMP_CFLAGS + The compiler and compiler flags, respectively, used when compiling + GMP, as strings. + + +File: gmp.info, Node: Compatibility with older versions, Next: Demonstration Programs, Prev: Useful Macros and Constants, Up: GMP Basics + +3.9 Compatibility with older versions +===================================== + +This version of GMP is upwardly binary compatible with all 5.x, 4.x, and +3.x versions, and upwardly compatible at the source level with all 2.x +versions, with the following exceptions. + + * 'mpn_gcd' had its source arguments swapped as of GMP 3.0, for + consistency with other 'mpn' functions. + + * 'mpf_get_prec' counted precision slightly differently in GMP 3.0 + and 3.0.1, but in 3.1 reverted to the 2.x style. + + * 'mpn_bdivmod', documented as preliminary in GMP 4, has been + removed. + + There are a number of compatibility issues between GMP 1 and GMP 2 +that of course also apply when porting applications from GMP 1 to GMP 5. +Please see the GMP 2 manual for details. + + +File: gmp.info, Node: Demonstration Programs, Next: Efficiency, Prev: Compatibility with older versions, Up: GMP Basics + +3.10 Demonstration programs +=========================== + +The 'demos' subdirectory has some sample programs using GMP. These +aren't built or installed, but there's a 'Makefile' with rules for them. +For instance, + + make pexpr + ./pexpr 68^975+10 + +The following programs are provided + + * 'pexpr' is an expression evaluator, the program used on the GMP web + page. + * The 'calc' subdirectory has a similar but simpler evaluator using + 'lex' and 'yacc'. + * The 'expr' subdirectory is yet another expression evaluator, a + library designed for ease of use within a C program. See + 'demos/expr/README' for more information. + * 'factorize' is a Pollard-Rho factorization program. + * 'isprime' is a command-line interface to the 'mpz_probab_prime_p' + function. + * 'primes' counts or lists primes in an interval, using a sieve. + * 'qcn' is an example use of 'mpz_kronecker_ui' to estimate quadratic + class numbers. + * The 'perl' subdirectory is a comprehensive perl interface to GMP. + See 'demos/perl/INSTALL' for more information. Documentation is in + POD format in 'demos/perl/GMP.pm'. + + As an aside, consideration has been given at various times to some +sort of expression evaluation within the main GMP library. Going beyond +something minimal quickly leads to matters like user-defined functions, +looping, fixnums for control variables, etc, which are considered +outside the scope of GMP (much closer to language interpreters or +compilers, *Note Language Bindings::). Something simple for program +input convenience may yet be a possibility, a combination of the 'expr' +demo and the 'pexpr' tree back-end perhaps. But for now the above +evaluators are offered as illustrations. + + +File: gmp.info, Node: Efficiency, Next: Debugging, Prev: Demonstration Programs, Up: GMP Basics + +3.11 Efficiency +=============== + +Small Operands + On small operands, the time for function call overheads and memory + allocation can be significant in comparison to actual calculation. + This is unavoidable in a general purpose variable precision + library, although GMP attempts to be as efficient as it can on both + large and small operands. + +Static Linking + On some CPUs, in particular the x86s, the static 'libgmp.a' should + be used for maximum speed, since the PIC code in the shared + 'libgmp.so' will have a small overhead on each function call and + global data address. For many programs this will be insignificant, + but for long calculations there's a gain to be had. + +Initializing and Clearing + Avoid excessive initializing and clearing of variables, since this + can be quite time consuming, especially in comparison to otherwise + fast operations like addition. + + A language interpreter might want to keep a free list or stack of + initialized variables ready for use. It should be possible to + integrate something like that with a garbage collector too. + +Reallocations + An 'mpz_t' or 'mpq_t' variable used to hold successively increasing + values will have its memory repeatedly 'realloc'ed, which could be + quite slow or could fragment memory, depending on the C library. + If an application can estimate the final size then 'mpz_init2' or + 'mpz_realloc2' can be called to allocate the necessary space from + the beginning (*note Initializing Integers::). + + It doesn't matter if a size set with 'mpz_init2' or 'mpz_realloc2' + is too small, since all functions will do a further reallocation if + necessary. Badly overestimating memory required will waste space + though. + +'2exp' Functions + It's up to an application to call functions like 'mpz_mul_2exp' + when appropriate. General purpose functions like 'mpz_mul' make no + attempt to identify powers of two or other special forms, because + such inputs will usually be very rare and testing every time would + be wasteful. + +'ui' and 'si' Functions + The 'ui' functions and the small number of 'si' functions exist for + convenience and should be used where applicable. But if for + example an 'mpz_t' contains a value that fits in an 'unsigned long' + there's no need to extract it and call a 'ui' function, just use + the regular 'mpz' function. + +In-Place Operations + 'mpz_abs', 'mpq_abs', 'mpf_abs', 'mpz_neg', 'mpq_neg' and 'mpf_neg' + are fast when used for in-place operations like 'mpz_abs(x,x)', + since in the current implementation only a single field of 'x' + needs changing. On suitable compilers (GCC for instance) this is + inlined too. + + 'mpz_add_ui', 'mpz_sub_ui', 'mpf_add_ui' and 'mpf_sub_ui' benefit + from an in-place operation like 'mpz_add_ui(x,x,y)', since usually + only one or two limbs of 'x' will need to be changed. The same + applies to the full precision 'mpz_add' etc if 'y' is small. If + 'y' is big then cache locality may be helped, but that's all. + + 'mpz_mul' is currently the opposite, a separate destination is + slightly better. A call like 'mpz_mul(x,x,y)' will, unless 'y' is + only one limb, make a temporary copy of 'x' before forming the + result. Normally that copying will only be a tiny fraction of the + time for the multiply, so this is not a particularly important + consideration. + + 'mpz_set', 'mpq_set', 'mpq_set_num', 'mpf_set', etc, make no + attempt to recognise a copy of something to itself, so a call like + 'mpz_set(x,x)' will be wasteful. Naturally that would never be + written deliberately, but if it might arise from two pointers to + the same object then a test to avoid it might be desirable. + + if (x != y) + mpz_set (x, y); + + Note that it's never worth introducing extra 'mpz_set' calls just + to get in-place operations. If a result should go to a particular + variable then just direct it there and let GMP take care of data + movement. + +Divisibility Testing (Small Integers) + 'mpz_divisible_ui_p' and 'mpz_congruent_ui_p' are the best + functions for testing whether an 'mpz_t' is divisible by an + individual small integer. They use an algorithm which is faster + than 'mpz_tdiv_ui', but which gives no useful information about the + actual remainder, only whether it's zero (or a particular value). + + However when testing divisibility by several small integers, it's + best to take a remainder modulo their product, to save + multi-precision operations. For instance to test whether a number + is divisible by 23, 29 or 31 take a remainder modulo 23*29*31 = + 20677 and then test that. + + The division functions like 'mpz_tdiv_q_ui' which give a quotient + as well as a remainder are generally a little slower than the + remainder-only functions like 'mpz_tdiv_ui'. If the quotient is + only rarely wanted then it's probably best to just take a remainder + and then go back and calculate the quotient if and when it's wanted + ('mpz_divexact_ui' can be used if the remainder is zero). + +Rational Arithmetic + The 'mpq' functions operate on 'mpq_t' values with no common + factors in the numerator and denominator. Common factors are + checked-for and cast out as necessary. In general, cancelling + factors every time is the best approach since it minimizes the + sizes for subsequent operations. + + However, applications that know something about the factorization + of the values they're working with might be able to avoid some of + the GCDs used for canonicalization, or swap them for divisions. + For example when multiplying by a prime it's enough to check for + factors of it in the denominator instead of doing a full GCD. Or + when forming a big product it might be known that very little + cancellation will be possible, and so canonicalization can be left + to the end. + + The 'mpq_numref' and 'mpq_denref' macros give access to the + numerator and denominator to do things outside the scope of the + supplied 'mpq' functions. *Note Applying Integer Functions::. + + The canonical form for rationals allows mixed-type 'mpq_t' and + integer additions or subtractions to be done directly with + multiples of the denominator. This will be somewhat faster than + 'mpq_add'. For example, + + /* mpq increment */ + mpz_add (mpq_numref(q), mpq_numref(q), mpq_denref(q)); + + /* mpq += unsigned long */ + mpz_addmul_ui (mpq_numref(q), mpq_denref(q), 123UL); + + /* mpq -= mpz */ + mpz_submul (mpq_numref(q), mpq_denref(q), z); + +Number Sequences + Functions like 'mpz_fac_ui', 'mpz_fib_ui' and 'mpz_bin_uiui' are + designed for calculating isolated values. If a range of values is + wanted it's probably best to get a starting point and iterate from + there. + +Text Input/Output + Hexadecimal or octal are suggested for input or output in text + form. Power-of-2 bases like these can be converted much more + efficiently than other bases, like decimal. For big numbers + there's usually nothing of particular interest to be seen in the + digits, so the base doesn't matter much. + + Maybe we can hope octal will one day become the normal base for + everyday use, as proposed by King Charles XII of Sweden and later + reformers. + + +File: gmp.info, Node: Debugging, Next: Profiling, Prev: Efficiency, Up: GMP Basics + +3.12 Debugging +============== + +Stack Overflow + Depending on the system, a segmentation violation or bus error + might be the only indication of stack overflow. See + '--enable-alloca' choices in *note Build Options::, for how to + address this. + + In new enough versions of GCC, '-fstack-check' may be able to + ensure an overflow is recognised by the system before too much + damage is done, or '-fstack-limit-symbol' or + '-fstack-limit-register' may be able to add checking if the system + itself doesn't do any (*note Options for Code Generation: (gcc)Code + Gen Options.). These options must be added to the 'CFLAGS' used in + the GMP build (*note Build Options::), adding them just to an + application will have no effect. Note also they're a slowdown, + adding overhead to each function call and each stack allocation. + +Heap Problems + The most likely cause of application problems with GMP is heap + corruption. Failing to 'init' GMP variables will have + unpredictable effects, and corruption arising elsewhere in a + program may well affect GMP. Initializing GMP variables more than + once or failing to clear them will cause memory leaks. + + In all such cases a 'malloc' debugger is recommended. On a GNU or + BSD system the standard C library 'malloc' has some diagnostic + facilities, see *note Allocation Debugging: (libc)Allocation + Debugging, or 'man 3 malloc'. Other possibilities, in no + particular order, include + + + + + + The GMP default allocation routines in 'memory.c' also have a + simple sentinel scheme which can be enabled with '#define DEBUG' in + that file. This is mainly designed for detecting buffer overruns + during GMP development, but might find other uses. + +Stack Backtraces + On some systems the compiler options GMP uses by default can + interfere with debugging. In particular on x86 and 68k systems + '-fomit-frame-pointer' is used and this generally inhibits stack + backtracing. Recompiling without such options may help while + debugging, though the usual caveats about it potentially moving a + memory problem or hiding a compiler bug will apply. + +GDB, the GNU Debugger + A sample '.gdbinit' is included in the distribution, showing how to + call some undocumented dump functions to print GMP variables from + within GDB. Note that these functions shouldn't be used in final + application code since they're undocumented and may be subject to + incompatible changes in future versions of GMP. + +Source File Paths + GMP has multiple source files with the same name, in different + directories. For example 'mpz', 'mpq' and 'mpf' each have an + 'init.c'. If the debugger can't already determine the right one it + may help to build with absolute paths on each C file. One way to + do that is to use a separate object directory with an absolute path + to the source directory. + + cd /my/build/dir + /my/source/dir/gmp-6.3.0/configure + + This works via 'VPATH', and might require GNU 'make'. Alternately + it might be possible to change the '.c.lo' rules appropriately. + +Assertion Checking + The build option '--enable-assert' is available to add some + consistency checks to the library (see *note Build Options::). + These are likely to be of limited value to most applications. + Assertion failures are just as likely to indicate memory corruption + as a library or compiler bug. + + Applications using the low-level 'mpn' functions, however, will + benefit from '--enable-assert' since it adds checks on the + parameters of most such functions, many of which have subtle + restrictions on their usage. Note however that only the generic C + code has checks, not the assembly code, so '--disable-assembly' + should be used for maximum checking. + +Temporary Memory Checking + The build option '--enable-alloca=debug' arranges that each block + of temporary memory in GMP is allocated with a separate call to + 'malloc' (or the allocation function set with + 'mp_set_memory_functions'). + + This can help a malloc debugger detect accesses outside the + intended bounds, or detect memory not released. In a normal build, + on the other hand, temporary memory is allocated in blocks which + GMP divides up for its own use, or may be allocated with a compiler + builtin 'alloca' which will go nowhere near any malloc debugger + hooks. + +Maximum Debuggability + To summarize the above, a GMP build for maximum debuggability would + be + + ./configure --disable-shared --enable-assert \ + --enable-alloca=debug --disable-assembly CFLAGS=-g + + For C++, add '--enable-cxx CXXFLAGS=-g'. + +Checker + The GCC checker () + can be used with GMP. It contains a stub library which means GMP + applications compiled with checker can use a normal GMP build. + + A build of GMP with checking within GMP itself can be made. This + will run very very slowly. On GNU/Linux for example, + + ./configure --disable-assembly CC=checkergcc + + '--disable-assembly' must be used, since the GMP assembly code + doesn't support the checking scheme. The GMP C++ features cannot + be used, since current versions of checker (0.9.9.1) don't yet + support the standard C++ library. + +Valgrind + Valgrind () is a memory checker for x86, ARM, + MIPS, PowerPC, and S/390. It translates and emulates machine + instructions to do strong checks for uninitialized data (at the + level of individual bits), memory accesses through bad pointers, + and memory leaks. + + Valgrind does not always support every possible instruction, in + particular ones recently added to an ISA. Valgrind might therefore + be incompatible with a recent GMP or even a less recent GMP which + is compiled using a recent GCC. + + GMP's assembly code sometimes promotes a read of the limbs to some + larger size, for efficiency. GMP will do this even at the start + and end of a multilimb operand, using naturally aligned operations + on the larger type. This may lead to benign reads outside of + allocated areas, triggering complaints from Valgrind. Valgrind's + option '--partial-loads-ok=yes' should help. + +Other Problems + Any suspected bug in GMP itself should be isolated to make sure + it's not an application problem, see *note Reporting Bugs::. + + +File: gmp.info, Node: Profiling, Next: Autoconf, Prev: Debugging, Up: GMP Basics + +3.13 Profiling +============== + +Running a program under a profiler is a good way to find where it's +spending most time and where improvements can be best sought. The +profiling choices for a GMP build are as follows. + +'--disable-profiling' + The default is to add nothing special for profiling. + + It should be possible to just compile the mainline of a program + with '-p' and use 'prof' to get a profile consisting of timer-based + sampling of the program counter. Most of the GMP assembly code has + the necessary symbol information. + + This approach has the advantage of minimizing interference with + normal program operation, but on most systems the resolution of the + sampling is quite low (10 milliseconds for instance), requiring + long runs to get accurate information. + +'--enable-profiling=prof' + Build with support for the system 'prof', which means '-p' added to + the 'CFLAGS'. + + This provides call counting in addition to program counter + sampling, which allows the most frequently called routines to be + identified, and an average time spent in each routine to be + determined. + + The x86 assembly code has support for this option, but on other + processors the assembly routines will be as if compiled without + '-p' and therefore won't appear in the call counts. + + On some systems, such as GNU/Linux, '-p' in fact means '-pg' and in + this case '--enable-profiling=gprof' described below should be used + instead. + +'--enable-profiling=gprof' + Build with support for 'gprof', which means '-pg' added to the + 'CFLAGS'. + + This provides call graph construction in addition to call counting + and program counter sampling, which makes it possible to count + calls coming from different locations. For example the number of + calls to 'mpn_mul' from 'mpz_mul' versus the number from 'mpf_mul'. + The program counter sampling is still flat though, so only a total + time in 'mpn_mul' would be accumulated, not a separate amount for + each call site. + + The x86 assembly code has support for this option, but on other + processors the assembly routines will be as if compiled without + '-pg' and therefore not be included in the call counts. + + On x86 and m68k systems '-pg' and '-fomit-frame-pointer' are + incompatible, so the latter is omitted from the default flags in + that case, which might result in poorer code generation. + + Incidentally, it should be possible to use the 'gprof' program with + a plain '--enable-profiling=prof' build. But in that case only the + 'gprof -p' flat profile and call counts can be expected to be + valid, not the 'gprof -q' call graph. + +'--enable-profiling=instrument' + Build with the GCC option '-finstrument-functions' added to the + 'CFLAGS' (*note Options for Code Generation: (gcc)Code Gen + Options.). + + This inserts special instrumenting calls at the start and end of + each function, allowing exact timing and full call graph + construction. + + This instrumenting is not normally a standard system feature and + will require support from an external library, such as + + + + This should be included in 'LIBS' during the GMP configure so that + test programs will link. For example, + + ./configure --enable-profiling=instrument LIBS=-lfc + + On a GNU system the C library provides dummy instrumenting + functions, so programs compiled with this option will link. In + this case it's only necessary to ensure the correct library is + added when linking an application. + + The x86 assembly code supports this option, but on other processors + the assembly routines will be as if compiled without + '-finstrument-functions' meaning time spent in them will + effectively be attributed to their caller. + + +File: gmp.info, Node: Autoconf, Next: Emacs, Prev: Profiling, Up: GMP Basics + +3.14 Autoconf +============= + +Autoconf based applications can easily check whether GMP is installed. +The only thing to be noted is that GMP library symbols from version 3 +onwards have prefixes like '__gmpz'. The following therefore would be a +simple test, + + AC_CHECK_LIB(gmp, __gmpz_init) + + This just uses the default 'AC_CHECK_LIB' actions for found or not +found, but an application that must have GMP would want to generate an +error if not found. For example, + + AC_CHECK_LIB(gmp, __gmpz_init, , + [AC_MSG_ERROR([GNU MP not found, see https://gmplib.org/])]) + + If functions added in some particular version of GMP are required, +then one of those can be used when checking. For example 'mpz_mul_si' +was added in GMP 3.1, + + AC_CHECK_LIB(gmp, __gmpz_mul_si, , + [AC_MSG_ERROR( + [GNU MP not found, or not 3.1 or up, see https://gmplib.org/])]) + + An alternative would be to test the version number in 'gmp.h' using +say 'AC_EGREP_CPP'. That would make it possible to test the exact +version, if some particular sub-minor release is known to be necessary. + + In general it's recommended that applications should simply demand a +new enough GMP rather than trying to provide supplements for features +not available in past versions. + + Occasionally an application will need or want to know the size of a +type at configuration or preprocessing time, not just with 'sizeof' in +the code. This can be done in the normal way with 'mp_limb_t' etc, but +GMP 4.0 or up is best for this, since prior versions needed certain '-D' +defines on systems using a 'long long' limb. The following would suit +Autoconf 2.50 or up, + + AC_CHECK_SIZEOF(mp_limb_t, , [#include ]) + + +File: gmp.info, Node: Emacs, Prev: Autoconf, Up: GMP Basics + +3.15 Emacs +========== + + ('info-lookup-symbol') is a good way to find documentation on +C functions while editing (*note Info Documentation Lookup: (emacs)Info +Lookup.). + + The GMP manual can be included in such lookups by putting the +following in your '.emacs', + + (eval-after-load "info-look" + '(let ((mode-value (assoc 'c-mode (assoc 'symbol info-lookup-alist)))) + (setcar (nthcdr 3 mode-value) + (cons '("(gmp)Function Index" nil "^ -.* " "\\>") + (nth 3 mode-value))))) + + +File: gmp.info, Node: Reporting Bugs, Next: Integer Functions, Prev: GMP Basics, Up: Top + +4 Reporting Bugs +**************** + +If you think you have found a bug in the GMP library, please investigate +it and report it. We have made this library available to you, and it is +not too much to ask you to report the bugs you find. + + Before you report a bug, check it's not already addressed in *note +Known Build Problems::, or perhaps *note Notes for Particular Systems::. +You may also want to check for patches for this +release, or try a recent snapshot from +. + + Please include the following in any report: + + * The GMP version number, and if pre-packaged or patched then say so. + + * A test program that makes it possible for us to reproduce the bug. + Include instructions on how to run the program. + + * A description of what is wrong. If the results are incorrect, in + what way. If you get a crash, say so. + + * If you get a crash, include a stack backtrace from the debugger if + it's informative ('where' in 'gdb', or '$C' in 'adb'). + + * Please do not send core dumps, executables or 'strace's. + + * The 'configure' options you used when building GMP, if any. + + * The output from 'configure', as printed to stdout, with any options + used. + + * The name of the compiler and its version. For 'gcc', get the + version with 'gcc -v', otherwise perhaps 'what `which cc`', or + similar. + + * The output from running 'uname -a'. + + * The output from running './config.guess', and from running + './configfsf.guess' (might be the same). + + * If the bug is related to 'configure', then the compressed contents + of 'config.log'. + + * If the bug is related to an 'asm' file not assembling, then the + contents of 'config.m4' and the offending line or lines from the + temporary 'mpn/tmp-.s'. + + Please make an effort to produce a self-contained report, with +something definite that can be tested or debugged. Vague queries or +piecemeal messages are difficult to act on and don't help the +development effort. + + It is not uncommon that an observed problem is actually due to a bug +in the compiler; the GMP code tends to explore interesting corners in +compilers. + + If your bug report is good, we will do our best to help you get a +corrected version of the library; if the bug report is poor, we won't do +anything about it (except maybe ask you to send a better report). + + Send your report to: . + + If you think something in this manual is unclear, or downright +incorrect, or if the language needs to be improved, please send a note +to the same address. + + +File: gmp.info, Node: Integer Functions, Next: Rational Number Functions, Prev: Reporting Bugs, Up: Top + +5 Integer Functions +******************* + +This chapter describes the GMP functions for performing integer +arithmetic. These functions start with the prefix 'mpz_'. + + GMP integers are stored in objects of type 'mpz_t'. + +* Menu: + +* Initializing Integers:: +* Assigning Integers:: +* Simultaneous Integer Init & Assign:: +* Converting Integers:: +* Integer Arithmetic:: +* Integer Division:: +* Integer Exponentiation:: +* Integer Roots:: +* Number Theoretic Functions:: +* Integer Comparisons:: +* Integer Logic and Bit Fiddling:: +* I/O of Integers:: +* Integer Random Numbers:: +* Integer Import and Export:: +* Miscellaneous Integer Functions:: +* Integer Special Functions:: + + +File: gmp.info, Node: Initializing Integers, Next: Assigning Integers, Prev: Integer Functions, Up: Integer Functions + +5.1 Initialization Functions +============================ + +The functions for integer arithmetic assume that all integer objects are +initialized. You do that by calling the function 'mpz_init'. For +example, + + { + mpz_t integ; + mpz_init (integ); + ... + mpz_add (integ, ...); + ... + mpz_sub (integ, ...); + + /* Unless the program is about to exit, do ... */ + mpz_clear (integ); + } + + As you can see, you can store new values any number of times, once an +object is initialized. + + -- Function: void mpz_init (mpz_t X) + Initialize X, and set its value to 0. + + -- Function: void mpz_inits (mpz_t X, ...) + Initialize a NULL-terminated list of 'mpz_t' variables, and set + their values to 0. + + -- Function: void mpz_init2 (mpz_t X, mp_bitcnt_t N) + Initialize X, with space for N-bit numbers, and set its value to 0. + Calling this function instead of 'mpz_init' or 'mpz_inits' is never + necessary; reallocation is handled automatically by GMP when + needed. + + While N defines the initial space, X will grow automatically in the + normal way, if necessary, for subsequent values stored. + 'mpz_init2' makes it possible to avoid such reallocations if a + maximum size is known in advance. + + In preparation for an operation, GMP often allocates one limb more + than ultimately needed. To make sure GMP will not perform + reallocation for X, you need to add the number of bits in + 'mp_limb_t' to N. + + -- Function: void mpz_clear (mpz_t X) + Free the space occupied by X. Call this function for all 'mpz_t' + variables when you are done with them. + + -- Function: void mpz_clears (mpz_t X, ...) + Free the space occupied by a NULL-terminated list of 'mpz_t' + variables. + + -- Function: void mpz_realloc2 (mpz_t X, mp_bitcnt_t N) + Change the space allocated for X to N bits. The value in X is + preserved if it fits, or is set to 0 if not. + + Calling this function is never necessary; reallocation is handled + automatically by GMP when needed. But this function can be used to + increase the space for a variable in order to avoid repeated + automatic reallocations, or to decrease it to give memory back to + the heap. + + +File: gmp.info, Node: Assigning Integers, Next: Simultaneous Integer Init & Assign, Prev: Initializing Integers, Up: Integer Functions + +5.2 Assignment Functions +======================== + +These functions assign new values to already initialized integers (*note +Initializing Integers::). + + -- Function: void mpz_set (mpz_t ROP, const mpz_t OP) + -- Function: void mpz_set_ui (mpz_t ROP, unsigned long int OP) + -- Function: void mpz_set_si (mpz_t ROP, signed long int OP) + -- Function: void mpz_set_d (mpz_t ROP, double OP) + -- Function: void mpz_set_q (mpz_t ROP, const mpq_t OP) + -- Function: void mpz_set_f (mpz_t ROP, const mpf_t OP) + Set the value of ROP from OP. + + 'mpz_set_d', 'mpz_set_q' and 'mpz_set_f' truncate OP to make it an + integer. + + -- Function: int mpz_set_str (mpz_t ROP, const char *STR, int BASE) + Set the value of ROP from STR, a null-terminated C string in base + BASE. White space is allowed in the string, and is simply ignored. + + The BASE may vary from 2 to 62, or if BASE is 0, then the leading + characters are used: '0x' and '0X' for hexadecimal, '0b' and '0B' + for binary, '0' for octal, or decimal otherwise. + + For bases up to 36, case is ignored; upper-case and lower-case + letters have the same value. For bases 37 to 62, upper-case + letters represent the usual 10..35 while lower-case letters + represent 36..61. + + This function returns 0 if the entire string is a valid number in + base BASE. Otherwise it returns -1. + + -- Function: void mpz_swap (mpz_t ROP1, mpz_t ROP2) + Swap the values ROP1 and ROP2 efficiently. + + +File: gmp.info, Node: Simultaneous Integer Init & Assign, Next: Converting Integers, Prev: Assigning Integers, Up: Integer Functions + +5.3 Combined Initialization and Assignment Functions +==================================================== + +For convenience, GMP provides a parallel series of initialize-and-set +functions which initialize the output and then store the value there. +These functions' names have the form 'mpz_init_set...' + + Here is an example of using one: + + { + mpz_t pie; + mpz_init_set_str (pie, "3141592653589793238462643383279502884", 10); + ... + mpz_sub (pie, ...); + ... + mpz_clear (pie); + } + +Once the integer has been initialized by any of the 'mpz_init_set...' +functions, it can be used as the source or destination operand for the +ordinary integer functions. Don't use an initialize-and-set function on +a variable already initialized! + + -- Function: void mpz_init_set (mpz_t ROP, const mpz_t OP) + -- Function: void mpz_init_set_ui (mpz_t ROP, unsigned long int OP) + -- Function: void mpz_init_set_si (mpz_t ROP, signed long int OP) + -- Function: void mpz_init_set_d (mpz_t ROP, double OP) + Initialize ROP with limb space and set the initial numeric value + from OP. + + -- Function: int mpz_init_set_str (mpz_t ROP, const char *STR, int + BASE) + Initialize ROP and set its value like 'mpz_set_str' (see its + documentation above for details). + + If the string is a correct base BASE number, the function returns + 0; if an error occurs it returns -1. ROP is initialized even if an + error occurs. (I.e., you have to call 'mpz_clear' for it.) + + +File: gmp.info, Node: Converting Integers, Next: Integer Arithmetic, Prev: Simultaneous Integer Init & Assign, Up: Integer Functions + +5.4 Conversion Functions +======================== + +This section describes functions for converting GMP integers to standard +C types. Functions for converting _to_ GMP integers are described in +*note Assigning Integers:: and *note I/O of Integers::. + + -- Function: unsigned long int mpz_get_ui (const mpz_t OP) + Return the value of OP as an 'unsigned long'. + + If OP is too big to fit an 'unsigned long' then just the least + significant bits that do fit are returned. The sign of OP is + ignored, only the absolute value is used. + + -- Function: signed long int mpz_get_si (const mpz_t OP) + If OP fits into a 'signed long int' return the value of OP. + Otherwise return the least significant part of OP, with the same + sign as OP. + + If OP is too big to fit in a 'signed long int', the returned result + is probably not very useful. To find out if the value will fit, + use the function 'mpz_fits_slong_p'. + + -- Function: double mpz_get_d (const mpz_t OP) + Convert OP to a 'double', truncating if necessary (i.e. rounding + towards zero). + + If the exponent from the conversion is too big, the result is + system dependent. An infinity is returned where available. A + hardware overflow trap may or may not occur. + + -- Function: double mpz_get_d_2exp (signed long int *EXP, const mpz_t + OP) + Convert OP to a 'double', truncating if necessary (i.e. rounding + towards zero), and returning the exponent separately. + + The return value is in the range 0.5<=abs(D)<1 and the exponent is + stored to '*EXP'. D * 2^EXP is the (truncated) OP value. If OP is + zero, the return is 0.0 and 0 is stored to '*EXP'. + + This is similar to the standard C 'frexp' function (*note + (libc)Normalization Functions::). + + -- Function: char * mpz_get_str (char *STR, int BASE, const mpz_t OP) + Convert OP to a string of digits in base BASE. The base argument + may vary from 2 to 62 or from -2 to -36. + + For BASE in the range 2..36, digits and lower-case letters are + used; for -2..-36, digits and upper-case letters are used; for + 37..62, digits, upper-case letters, and lower-case letters (in that + significance order) are used. + + If STR is 'NULL', the result string is allocated using the current + allocation function (*note Custom Allocation::). The block will be + 'strlen(str)+1' bytes, that being exactly enough for the string and + null-terminator. + + If STR is not 'NULL', it should point to a block of storage large + enough for the result, that being 'mpz_sizeinbase (OP, BASE) + 2'. + The two extra bytes are for a possible minus sign, and the + null-terminator. + + A pointer to the result string is returned, being either the + allocated block, or the given STR. + + +File: gmp.info, Node: Integer Arithmetic, Next: Integer Division, Prev: Converting Integers, Up: Integer Functions + +5.5 Arithmetic Functions +======================== + + -- Function: void mpz_add (mpz_t ROP, const mpz_t OP1, const mpz_t OP2) + -- Function: void mpz_add_ui (mpz_t ROP, const mpz_t OP1, unsigned long + int OP2) + Set ROP to OP1 + OP2. + + -- Function: void mpz_sub (mpz_t ROP, const mpz_t OP1, const mpz_t OP2) + -- Function: void mpz_sub_ui (mpz_t ROP, const mpz_t OP1, unsigned long + int OP2) + -- Function: void mpz_ui_sub (mpz_t ROP, unsigned long int OP1, const + mpz_t OP2) + Set ROP to OP1 - OP2. + + -- Function: void mpz_mul (mpz_t ROP, const mpz_t OP1, const mpz_t OP2) + -- Function: void mpz_mul_si (mpz_t ROP, const mpz_t OP1, long int OP2) + -- Function: void mpz_mul_ui (mpz_t ROP, const mpz_t OP1, unsigned long + int OP2) + Set ROP to OP1 times OP2. + + -- Function: void mpz_addmul (mpz_t ROP, const mpz_t OP1, const mpz_t + OP2) + -- Function: void mpz_addmul_ui (mpz_t ROP, const mpz_t OP1, unsigned + long int OP2) + Set ROP to ROP + OP1 times OP2. + + -- Function: void mpz_submul (mpz_t ROP, const mpz_t OP1, const mpz_t + OP2) + -- Function: void mpz_submul_ui (mpz_t ROP, const mpz_t OP1, unsigned + long int OP2) + Set ROP to ROP - OP1 times OP2. + + -- Function: void mpz_mul_2exp (mpz_t ROP, const mpz_t OP1, mp_bitcnt_t + OP2) + Set ROP to OP1 times 2 raised to OP2. This operation can also be + defined as a left shift by OP2 bits. + + -- Function: void mpz_neg (mpz_t ROP, const mpz_t OP) + Set ROP to -OP. + + -- Function: void mpz_abs (mpz_t ROP, const mpz_t OP) + Set ROP to the absolute value of OP. + + +File: gmp.info, Node: Integer Division, Next: Integer Exponentiation, Prev: Integer Arithmetic, Up: Integer Functions + +5.6 Division Functions +====================== + +Division is undefined if the divisor is zero. Passing a zero divisor to +the division or modulo functions (including the modular powering +functions 'mpz_powm' and 'mpz_powm_ui') will cause an intentional +division by zero. This lets a program handle arithmetic exceptions in +these functions the same way as for normal C 'int' arithmetic. + + -- Function: void mpz_cdiv_q (mpz_t Q, const mpz_t N, const mpz_t D) + -- Function: void mpz_cdiv_r (mpz_t R, const mpz_t N, const mpz_t D) + -- Function: void mpz_cdiv_qr (mpz_t Q, mpz_t R, const mpz_t N, const + mpz_t D) + + -- Function: unsigned long int mpz_cdiv_q_ui (mpz_t Q, const mpz_t N, + unsigned long int D) + -- Function: unsigned long int mpz_cdiv_r_ui (mpz_t R, const mpz_t N, + unsigned long int D) + -- Function: unsigned long int mpz_cdiv_qr_ui (mpz_t Q, mpz_t R, + const mpz_t N, unsigned long int D) + -- Function: unsigned long int mpz_cdiv_ui (const mpz_t N, + unsigned long int D) + + -- Function: void mpz_cdiv_q_2exp (mpz_t Q, const mpz_t N, + mp_bitcnt_t B) + -- Function: void mpz_cdiv_r_2exp (mpz_t R, const mpz_t N, + mp_bitcnt_t B) + + -- Function: void mpz_fdiv_q (mpz_t Q, const mpz_t N, const mpz_t D) + -- Function: void mpz_fdiv_r (mpz_t R, const mpz_t N, const mpz_t D) + -- Function: void mpz_fdiv_qr (mpz_t Q, mpz_t R, const mpz_t N, const + mpz_t D) + + -- Function: unsigned long int mpz_fdiv_q_ui (mpz_t Q, const mpz_t N, + unsigned long int D) + -- Function: unsigned long int mpz_fdiv_r_ui (mpz_t R, const mpz_t N, + unsigned long int D) + -- Function: unsigned long int mpz_fdiv_qr_ui (mpz_t Q, mpz_t R, + const mpz_t N, unsigned long int D) + -- Function: unsigned long int mpz_fdiv_ui (const mpz_t N, + unsigned long int D) + + -- Function: void mpz_fdiv_q_2exp (mpz_t Q, const mpz_t N, + mp_bitcnt_t B) + -- Function: void mpz_fdiv_r_2exp (mpz_t R, const mpz_t N, + mp_bitcnt_t B) + + -- Function: void mpz_tdiv_q (mpz_t Q, const mpz_t N, const mpz_t D) + -- Function: void mpz_tdiv_r (mpz_t R, const mpz_t N, const mpz_t D) + -- Function: void mpz_tdiv_qr (mpz_t Q, mpz_t R, const mpz_t N, const + mpz_t D) + + -- Function: unsigned long int mpz_tdiv_q_ui (mpz_t Q, const mpz_t N, + unsigned long int D) + -- Function: unsigned long int mpz_tdiv_r_ui (mpz_t R, const mpz_t N, + unsigned long int D) + -- Function: unsigned long int mpz_tdiv_qr_ui (mpz_t Q, mpz_t R, + const mpz_t N, unsigned long int D) + -- Function: unsigned long int mpz_tdiv_ui (const mpz_t N, + unsigned long int D) + + -- Function: void mpz_tdiv_q_2exp (mpz_t Q, const mpz_t N, + mp_bitcnt_t B) + -- Function: void mpz_tdiv_r_2exp (mpz_t R, const mpz_t N, + mp_bitcnt_t B) + + + Divide N by D, forming a quotient Q and/or remainder R. For the + '2exp' functions, D=2^B. The rounding is in three styles, each + suiting different applications. + + * 'cdiv' rounds Q up towards +infinity, and R will have the + opposite sign to D. The 'c' stands for "ceil". + + * 'fdiv' rounds Q down towards -infinity, and R will have the + same sign as D. The 'f' stands for "floor". + + * 'tdiv' rounds Q towards zero, and R will have the same sign as + N. The 't' stands for "truncate". + + In all cases Q and R will satisfy N=Q*D+R, and R will satisfy + 0<=abs(R) 0 and that MOD is odd. + + This function is designed to take the same time and have the same + cache access patterns for any two same-size arguments, assuming + that function arguments are placed at the same position and that + the machine state is identical upon function entry. This function + is intended for cryptographic purposes, where resilience to + side-channel attacks is desired. + + -- Function: void mpz_pow_ui (mpz_t ROP, const mpz_t BASE, unsigned + long int EXP) + -- Function: void mpz_ui_pow_ui (mpz_t ROP, unsigned long int BASE, + unsigned long int EXP) + Set ROP to BASE raised to EXP. The case 0^0 yields 1. + + +File: gmp.info, Node: Integer Roots, Next: Number Theoretic Functions, Prev: Integer Exponentiation, Up: Integer Functions + +5.8 Root Extraction Functions +============================= + + -- Function: int mpz_root (mpz_t ROP, const mpz_t OP, unsigned long int + N) + Set ROP to the truncated integer part of the Nth root of OP. + Return non-zero if the computation was exact, i.e., if OP is ROP to + the Nth power. + + -- Function: void mpz_rootrem (mpz_t ROOT, mpz_t REM, const mpz_t U, + unsigned long int N) + Set ROOT to the truncated integer part of the Nth root of U. Set + REM to the remainder, U-ROOT**N. + + -- Function: void mpz_sqrt (mpz_t ROP, const mpz_t OP) + Set ROP to the truncated integer part of the square root of OP. + + -- Function: void mpz_sqrtrem (mpz_t ROP1, mpz_t ROP2, const mpz_t OP) + Set ROP1 to the truncated integer part of the square root of OP, + like 'mpz_sqrt'. Set ROP2 to the remainder OP-ROP1*ROP1, which + will be zero if OP is a perfect square. + + If ROP1 and ROP2 are the same variable, the results are undefined. + + -- Function: int mpz_perfect_power_p (const mpz_t OP) + Return non-zero if OP is a perfect power, i.e., if there exist + integers A and B, with B>1, such that OP equals A raised to the + power B. + + Under this definition both 0 and 1 are considered to be perfect + powers. Negative values of OP are accepted, but of course can only + be odd perfect powers. + + -- Function: int mpz_perfect_square_p (const mpz_t OP) + Return non-zero if OP is a perfect square, i.e., if the square root + of OP is an integer. Under this definition both 0 and 1 are + considered to be perfect squares. + + +File: gmp.info, Node: Number Theoretic Functions, Next: Integer Comparisons, Prev: Integer Roots, Up: Integer Functions + +5.9 Number Theoretic Functions +============================== + + -- Function: int mpz_probab_prime_p (const mpz_t N, int REPS) + Determine whether N is prime. Return 2 if N is definitely prime, + return 1 if N is probably prime (without being certain), or return + 0 if N is definitely non-prime. + + This function performs some trial divisions, a Baillie-PSW probable + prime test, then REPS-24 Miller-Rabin probabilistic primality + tests. A higher REPS value will reduce the chances of a non-prime + being identified as "probably prime". A composite number will be + identified as a prime with an asymptotic probability of less than + 4^(-REPS). Reasonable values of REPS are between 15 and 50. + + GMP versions up to and including 6.1.2 did not use the Baillie-PSW + primality test. In those older versions of GMP, this function + performed REPS Miller-Rabin tests. + + -- Function: void mpz_nextprime (mpz_t ROP, const mpz_t OP) + Set ROP to the next prime greater than OP. + + -- Function: int mpz_prevprime (mpz_t ROP, const mpz_t OP) + Set ROP to the greatest prime less than OP. + + If a previous prime doesn't exist (i.e. OP < 3), rop is unchanged + and 0 is returned. + + Return 1 if ROP is a probably prime, and 2 if ROP is definitely + prime. + + These functions use a probabilistic algorithm to identify primes. + For practical purposes it's adequate, the chance of a composite + passing will be extremely small. + + -- Function: void mpz_gcd (mpz_t ROP, const mpz_t OP1, const mpz_t OP2) + Set ROP to the greatest common divisor of OP1 and OP2. The result + is always positive even if one or both input operands are negative. + Except if both inputs are zero; then this function defines gcd(0,0) + = 0. + + -- Function: unsigned long int mpz_gcd_ui (mpz_t ROP, const mpz_t OP1, + unsigned long int OP2) + Compute the greatest common divisor of OP1 and OP2. If ROP is not + 'NULL', store the result there. + + If the result is small enough to fit in an 'unsigned long int', it + is returned. If the result does not fit, 0 is returned, and the + result is equal to the argument OP1. Note that the result will + always fit if OP2 is non-zero. + + -- Function: void mpz_gcdext (mpz_t G, mpz_t S, mpz_t T, const mpz_t A, + const mpz_t B) + Set G to the greatest common divisor of A and B, and in addition + set S and T to coefficients satisfying A*S + B*T = G. The value in + G is always positive, even if one or both of A and B are negative + (or zero if both inputs are zero). The values in S and T are + chosen such that normally, abs(S) < abs(B) / (2 G) and abs(T) < + abs(A) / (2 G), and these relations define S and T uniquely. There + are a few exceptional cases: + + If abs(A) = abs(B), then S = 0, T = sgn(B). + + Otherwise, S = sgn(A) if B = 0 or abs(B) = 2 G, and T = sgn(B) if A + = 0 or abs(A) = 2 G. + + In all cases, S = 0 if and only if G = abs(B), i.e., if B divides A + or A = B = 0. + + If T or G is 'NULL' then that value is not computed. + + -- Function: void mpz_lcm (mpz_t ROP, const mpz_t OP1, const mpz_t OP2) + -- Function: void mpz_lcm_ui (mpz_t ROP, const mpz_t OP1, unsigned long + OP2) + Set ROP to the least common multiple of OP1 and OP2. ROP is always + positive, irrespective of the signs of OP1 and OP2. ROP will be + zero if either OP1 or OP2 is zero. + + -- Function: int mpz_invert (mpz_t ROP, const mpz_t OP1, const mpz_t + OP2) + Compute the inverse of OP1 modulo OP2 and put the result in ROP. + If the inverse exists, the return value is non-zero and ROP will + satisfy 0 <= ROP < abs(OP2) (with ROP = 0 possible only when + abs(OP2) = 1, i.e., in the somewhat degenerate zero ring). If an + inverse doesn't exist the return value is zero and ROP is + undefined. The behaviour of this function is undefined when OP2 is + zero. + + -- Function: int mpz_jacobi (const mpz_t A, const mpz_t B) + Calculate the Jacobi symbol (A/B). This is defined only for B odd. + + -- Function: int mpz_legendre (const mpz_t A, const mpz_t P) + Calculate the Legendre symbol (A/P). This is defined only for P an + odd positive prime, and for such P it's identical to the Jacobi + symbol. + + -- Function: int mpz_kronecker (const mpz_t A, const mpz_t B) + -- Function: int mpz_kronecker_si (const mpz_t A, long B) + -- Function: int mpz_kronecker_ui (const mpz_t A, unsigned long B) + -- Function: int mpz_si_kronecker (long A, const mpz_t B) + -- Function: int mpz_ui_kronecker (unsigned long A, const mpz_t B) + Calculate the Jacobi symbol (A/B) with the Kronecker extension + (a/2)=(2/a) when a odd, or (a/2)=0 when a even. + + When B is odd the Jacobi symbol and Kronecker symbol are identical, + so 'mpz_kronecker_ui' etc can be used for mixed precision Jacobi + symbols too. + + For more information see Henri Cohen section 1.4.2 (*note + References::), or any number theory textbook. See also the example + program 'demos/qcn.c' which uses 'mpz_kronecker_ui'. + + -- Function: mp_bitcnt_t mpz_remove (mpz_t ROP, const mpz_t OP, const + mpz_t F) + Remove all occurrences of the factor F from OP and store the result + in ROP. The return value is how many such occurrences were + removed. + + -- Function: void mpz_fac_ui (mpz_t ROP, unsigned long int N) + -- Function: void mpz_2fac_ui (mpz_t ROP, unsigned long int N) + -- Function: void mpz_mfac_uiui (mpz_t ROP, unsigned long int N, + unsigned long int M) + Set ROP to the factorial of N: 'mpz_fac_ui' computes the plain + factorial N!, 'mpz_2fac_ui' computes the double-factorial N!!, and + 'mpz_mfac_uiui' the M-multi-factorial N!^(M). + + -- Function: void mpz_primorial_ui (mpz_t ROP, unsigned long int N) + Set ROP to the primorial of N, i.e. the product of all positive + prime numbers <=N. + + -- Function: void mpz_bin_ui (mpz_t ROP, const mpz_t N, unsigned long + int K) + -- Function: void mpz_bin_uiui (mpz_t ROP, unsigned long int N, + unsigned long int K) + Compute the binomial coefficient N over K and store the result in + ROP. Negative values of N are supported by 'mpz_bin_ui', using the + identity bin(-n,k) = (-1)^k * bin(n+k-1,k), see Knuth volume 1 + section 1.2.6 part G. + + -- Function: void mpz_fib_ui (mpz_t FN, unsigned long int N) + -- Function: void mpz_fib2_ui (mpz_t FN, mpz_t FNSUB1, unsigned long + int N) + 'mpz_fib_ui' sets FN to F[n], the Nth Fibonacci number. + 'mpz_fib2_ui' sets FN to F[n], and FNSUB1 to F[n-1]. + + These functions are designed for calculating isolated Fibonacci + numbers. When a sequence of values is wanted it's best to start + with 'mpz_fib2_ui' and iterate the defining F[n+1]=F[n]+F[n-1] or + similar. + + -- Function: void mpz_lucnum_ui (mpz_t LN, unsigned long int N) + -- Function: void mpz_lucnum2_ui (mpz_t LN, mpz_t LNSUB1, unsigned long + int N) + 'mpz_lucnum_ui' sets LN to L[n], the Nth Lucas number. + 'mpz_lucnum2_ui' sets LN to L[n], and LNSUB1 to L[n-1]. + + These functions are designed for calculating isolated Lucas + numbers. When a sequence of values is wanted it's best to start + with 'mpz_lucnum2_ui' and iterate the defining L[n+1]=L[n]+L[n-1] + or similar. + + The Fibonacci numbers and Lucas numbers are related sequences, so + it's never necessary to call both 'mpz_fib2_ui' and + 'mpz_lucnum2_ui'. The formulas for going from Fibonacci to Lucas + can be found in *note Lucas Numbers Algorithm::, the reverse is + straightforward too. + + +File: gmp.info, Node: Integer Comparisons, Next: Integer Logic and Bit Fiddling, Prev: Number Theoretic Functions, Up: Integer Functions + +5.10 Comparison Functions +========================= + + -- Function: int mpz_cmp (const mpz_t OP1, const mpz_t OP2) + -- Function: int mpz_cmp_d (const mpz_t OP1, double OP2) + -- Macro: int mpz_cmp_si (const mpz_t OP1, signed long int OP2) + -- Macro: int mpz_cmp_ui (const mpz_t OP1, unsigned long int OP2) + Compare OP1 and OP2. Return a positive value if OP1 > OP2, zero if + OP1 = OP2, or a negative value if OP1 < OP2. + + 'mpz_cmp_ui' and 'mpz_cmp_si' are macros and will evaluate their + arguments more than once. 'mpz_cmp_d' can be called with an + infinity, but results are undefined for a NaN. + + -- Function: int mpz_cmpabs (const mpz_t OP1, const mpz_t OP2) + -- Function: int mpz_cmpabs_d (const mpz_t OP1, double OP2) + -- Function: int mpz_cmpabs_ui (const mpz_t OP1, unsigned long int OP2) + Compare the absolute values of OP1 and OP2. Return a positive + value if abs(OP1) > abs(OP2), zero if abs(OP1) = abs(OP2), or a + negative value if abs(OP1) < abs(OP2). + + 'mpz_cmpabs_d' can be called with an infinity, but results are + undefined for a NaN. + + -- Macro: int mpz_sgn (const mpz_t OP) + Return +1 if OP > 0, 0 if OP = 0, and -1 if OP < 0. + + This function is actually implemented as a macro. It evaluates its + argument multiple times. + + +File: gmp.info, Node: Integer Logic and Bit Fiddling, Next: I/O of Integers, Prev: Integer Comparisons, Up: Integer Functions + +5.11 Logical and Bit Manipulation Functions +=========================================== + +These functions behave as if two's complement arithmetic were used +(although sign-magnitude is the actual implementation). The least +significant bit is number 0. + + -- Function: void mpz_and (mpz_t ROP, const mpz_t OP1, const mpz_t OP2) + Set ROP to OP1 bitwise-and OP2. + + -- Function: void mpz_ior (mpz_t ROP, const mpz_t OP1, const mpz_t OP2) + Set ROP to OP1 bitwise inclusive-or OP2. + + -- Function: void mpz_xor (mpz_t ROP, const mpz_t OP1, const mpz_t OP2) + Set ROP to OP1 bitwise exclusive-or OP2. + + -- Function: void mpz_com (mpz_t ROP, const mpz_t OP) + Set ROP to the one's complement of OP. + + -- Function: mp_bitcnt_t mpz_popcount (const mpz_t OP) + If OP>=0, return the population count of OP, which is the number of + 1 bits in the binary representation. If OP<0, the number of 1s is + infinite, and the return value is the largest possible + 'mp_bitcnt_t'. + + -- Function: mp_bitcnt_t mpz_hamdist (const mpz_t OP1, const mpz_t OP2) + If OP1 and OP2 are both >=0 or both <0, return the hamming distance + between the two operands, which is the number of bit positions + where OP1 and OP2 have different bit values. If one operand is >=0 + and the other <0 then the number of bits different is infinite, and + the return value is the largest possible 'mp_bitcnt_t'. + + -- Function: mp_bitcnt_t mpz_scan0 (const mpz_t OP, mp_bitcnt_t + STARTING_BIT) + -- Function: mp_bitcnt_t mpz_scan1 (const mpz_t OP, mp_bitcnt_t + STARTING_BIT) + Scan OP, starting from bit STARTING_BIT, towards more significant + bits, until the first 0 or 1 bit (respectively) is found. Return + the index of the found bit. + + If the bit at STARTING_BIT is already what's sought, then + STARTING_BIT is returned. + + If there's no bit found, then the largest possible 'mp_bitcnt_t' is + returned. This will happen in 'mpz_scan0' past the end of a + negative number, or 'mpz_scan1' past the end of a nonnegative + number. + + -- Function: void mpz_setbit (mpz_t ROP, mp_bitcnt_t BIT_INDEX) + Set bit BIT_INDEX in ROP. + + -- Function: void mpz_clrbit (mpz_t ROP, mp_bitcnt_t BIT_INDEX) + Clear bit BIT_INDEX in ROP. + + -- Function: void mpz_combit (mpz_t ROP, mp_bitcnt_t BIT_INDEX) + Complement bit BIT_INDEX in ROP. + + -- Function: int mpz_tstbit (const mpz_t OP, mp_bitcnt_t BIT_INDEX) + Test bit BIT_INDEX in OP and return 0 or 1 accordingly. + + Shifting is also possible using multiplication (*note Integer +Arithmetic::) and division (*note Integer Division::), in particular the +'2exp' functions. + + +File: gmp.info, Node: I/O of Integers, Next: Integer Random Numbers, Prev: Integer Logic and Bit Fiddling, Up: Integer Functions + +5.12 Input and Output Functions +=============================== + +Functions that perform input from a stdio stream, and functions that +output to a stdio stream, of 'mpz' numbers. Passing a 'NULL' pointer +for a STREAM argument to any of these functions will make them read from +'stdin' and write to 'stdout', respectively. + + When using any of these functions, it is a good idea to include +'stdio.h' before 'gmp.h', since that will allow 'gmp.h' to define +prototypes for these functions. + + See also *note Formatted Output:: and *note Formatted Input::. + + -- Function: size_t mpz_out_str (FILE *STREAM, int BASE, const mpz_t + OP) + Output OP on stdio stream STREAM, as a string of digits in base + BASE. The base argument may vary from 2 to 62 or from -2 to -36. + + For BASE in the range 2..36, digits and lower-case letters are + used; for -2..-36, digits and upper-case letters are used; for + 37..62, digits, upper-case letters, and lower-case letters (in that + significance order) are used. + + Return the number of bytes written, or if an error occurred, return + 0. + + -- Function: size_t mpz_inp_str (mpz_t ROP, FILE *STREAM, int BASE) + Input a possibly white-space preceded string in base BASE from + stdio stream STREAM, and put the read integer in ROP. + + The BASE may vary from 2 to 62, or if BASE is 0, then the leading + characters are used: '0x' and '0X' for hexadecimal, '0b' and '0B' + for binary, '0' for octal, or decimal otherwise. + + For bases up to 36, case is ignored; upper-case and lower-case + letters have the same value. For bases 37 to 62, upper-case + letters represent the usual 10..35 while lower-case letters + represent 36..61. + + Return the number of bytes read, or if an error occurred, return 0. + + -- Function: size_t mpz_out_raw (FILE *STREAM, const mpz_t OP) + Output OP on stdio stream STREAM, in raw binary format. The + integer is written in a portable format, with 4 bytes of size + information, and that many bytes of limbs. Both the size and the + limbs are written in decreasing significance order (i.e., in + big-endian). + + The output can be read with 'mpz_inp_raw'. + + Return the number of bytes written, or if an error occurred, return + 0. + + The output of this can not be read by 'mpz_inp_raw' from GMP 1, + because of changes necessary for compatibility between 32-bit and + 64-bit machines. + + -- Function: size_t mpz_inp_raw (mpz_t ROP, FILE *STREAM) + Input from stdio stream STREAM in the format written by + 'mpz_out_raw', and put the result in ROP. Return the number of + bytes read, or if an error occurred, return 0. + + This routine can read the output from 'mpz_out_raw' also from GMP + 1, in spite of changes necessary for compatibility between 32-bit + and 64-bit machines. + + +File: gmp.info, Node: Integer Random Numbers, Next: Integer Import and Export, Prev: I/O of Integers, Up: Integer Functions + +5.13 Random Number Functions +============================ + +The random number functions of GMP come in two groups; older functions +that rely on a global state, and newer functions that accept a state +parameter that is read and modified. Please see the *note Random Number +Functions:: for more information on how to use and not to use random +number functions. + + -- Function: void mpz_urandomb (mpz_t ROP, gmp_randstate_t STATE, + mp_bitcnt_t N) + Generate a uniformly distributed random integer in the range 0 to + 2^N-1, inclusive. + + The variable STATE must be initialized by calling one of the + 'gmp_randinit' functions (*note Random State Initialization::) + before invoking this function. + + -- Function: void mpz_urandomm (mpz_t ROP, gmp_randstate_t STATE, const + mpz_t N) + Generate a uniform random integer in the range 0 to N-1, inclusive. + + The variable STATE must be initialized by calling one of the + 'gmp_randinit' functions (*note Random State Initialization::) + before invoking this function. + + -- Function: void mpz_rrandomb (mpz_t ROP, gmp_randstate_t STATE, + mp_bitcnt_t N) + Generate a random integer with long strings of zeros and ones in + the binary representation. Useful for testing functions and + algorithms, since this kind of random numbers have proven to be + more likely to trigger corner-case bugs. The random number will be + in the range 2^(N-1) to 2^N-1, inclusive. + + The variable STATE must be initialized by calling one of the + 'gmp_randinit' functions (*note Random State Initialization::) + before invoking this function. + + -- Function: void mpz_random (mpz_t ROP, mp_size_t MAX_SIZE) + Generate a random integer of at most MAX_SIZE limbs. The generated + random number doesn't satisfy any particular requirements of + randomness. Negative random numbers are generated when MAX_SIZE is + negative. + + This function is obsolete. Use 'mpz_urandomb' or 'mpz_urandomm' + instead. + + -- Function: void mpz_random2 (mpz_t ROP, mp_size_t MAX_SIZE) + Generate a random integer of at most MAX_SIZE limbs, with long + strings of zeros and ones in the binary representation. Useful for + testing functions and algorithms, since this kind of random numbers + have proven to be more likely to trigger corner-case bugs. + Negative random numbers are generated when MAX_SIZE is negative. + + This function is obsolete. Use 'mpz_rrandomb' instead. + + +File: gmp.info, Node: Integer Import and Export, Next: Miscellaneous Integer Functions, Prev: Integer Random Numbers, Up: Integer Functions + +5.14 Integer Import and Export +============================== + +'mpz_t' variables can be converted to and from arbitrary words of binary +data with the following functions. + + -- Function: void mpz_import (mpz_t ROP, size_t COUNT, int ORDER, + size_t SIZE, int ENDIAN, size_t NAILS, const void *OP) + Set ROP from an array of word data at OP. + + The parameters specify the format of the data. COUNT many words + are read, each SIZE bytes. ORDER can be 1 for most significant + word first or -1 for least significant first. Within each word + ENDIAN can be 1 for most significant byte first, -1 for least + significant first, or 0 for the native endianness of the host CPU. + The most significant NAILS bits of each word are skipped, this can + be 0 to use the full words. + + There is no sign taken from the data, ROP will simply be a positive + integer. An application can handle any sign itself, and apply it + for instance with 'mpz_neg'. + + There are no data alignment restrictions on OP, any address is + allowed. + + Here's an example converting an array of 'unsigned long' data, most + significant element first, and host byte order within each value. + + unsigned long a[20]; + /* Initialize Z and A */ + mpz_import (z, 20, 1, sizeof(a[0]), 0, 0, a); + + This example assumes the full 'sizeof' bytes are used for data in + the given type, which is usually true, and certainly true for + 'unsigned long' everywhere we know of. However on Cray vector + systems it may be noted that 'short' and 'int' are always stored in + 8 bytes (and with 'sizeof' indicating that) but use only 32 or 46 + bits. The NAILS feature can account for this, by passing for + instance '8*sizeof(int)-INT_BIT'. + + -- Function: void * mpz_export (void *ROP, size_t *COUNTP, int ORDER, + size_t SIZE, int ENDIAN, size_t NAILS, const mpz_t OP) + Fill ROP with word data from OP. + + The parameters specify the format of the data produced. Each word + will be SIZE bytes and ORDER can be 1 for most significant word + first or -1 for least significant first. Within each word ENDIAN + can be 1 for most significant byte first, -1 for least significant + first, or 0 for the native endianness of the host CPU. The most + significant NAILS bits of each word are unused and set to zero, + this can be 0 to produce full words. + + The number of words produced is written to '*COUNTP', or COUNTP can + be 'NULL' to discard the count. ROP must have enough space for the + data, or if ROP is 'NULL' then a result array of the necessary size + is allocated using the current GMP allocation function (*note + Custom Allocation::). In either case the return value is the + destination used, either ROP or the allocated block. + + If OP is non-zero then the most significant word produced will be + non-zero. If OP is zero then the count returned will be zero and + nothing written to ROP. If ROP is 'NULL' in this case, no block is + allocated, just 'NULL' is returned. + + The sign of OP is ignored, just the absolute value is exported. An + application can use 'mpz_sgn' to get the sign and handle it as + desired. (*note Integer Comparisons::) + + There are no data alignment restrictions on ROP, any address is + allowed. + + When an application is allocating space itself the required size + can be determined with a calculation like the following. Since + 'mpz_sizeinbase' always returns at least 1, 'count' here will be at + least one, which avoids any portability problems with 'malloc(0)', + though if 'z' is zero no space at all is actually needed (or + written). + + numb = 8*size - nail; + count = (mpz_sizeinbase (z, 2) + numb-1) / numb; + p = malloc (count * size); + + +File: gmp.info, Node: Miscellaneous Integer Functions, Next: Integer Special Functions, Prev: Integer Import and Export, Up: Integer Functions + +5.15 Miscellaneous Functions +============================ + + -- Function: int mpz_fits_ulong_p (const mpz_t OP) + -- Function: int mpz_fits_slong_p (const mpz_t OP) + -- Function: int mpz_fits_uint_p (const mpz_t OP) + -- Function: int mpz_fits_sint_p (const mpz_t OP) + -- Function: int mpz_fits_ushort_p (const mpz_t OP) + -- Function: int mpz_fits_sshort_p (const mpz_t OP) + Return non-zero iff the value of OP fits in an 'unsigned long int', + 'signed long int', 'unsigned int', 'signed int', 'unsigned short + int', or 'signed short int', respectively. Otherwise, return zero. + + -- Macro: int mpz_odd_p (const mpz_t OP) + -- Macro: int mpz_even_p (const mpz_t OP) + Determine whether OP is odd or even, respectively. Return non-zero + if yes, zero if no. These macros evaluate their argument more than + once. + + -- Function: size_t mpz_sizeinbase (const mpz_t OP, int BASE) + Return the size of OP measured in number of digits in the given + BASE. BASE can vary from 2 to 62. The sign of OP is ignored, just + the absolute value is used. The result will be either exact or 1 + too big. If BASE is a power of 2, the result is always exact. If + OP is zero the return value is always 1. + + This function can be used to determine the space required when + converting OP to a string. The right amount of allocation is + normally two more than the value returned by 'mpz_sizeinbase', one + extra for a minus sign and one for the null-terminator. + + It will be noted that 'mpz_sizeinbase(OP,2)' can be used to locate + the most significant 1 bit in OP, counting from 1. (Unlike the + bitwise functions which start from 0, *Note Logical and Bit + Manipulation Functions: Integer Logic and Bit Fiddling.) + + +File: gmp.info, Node: Integer Special Functions, Prev: Miscellaneous Integer Functions, Up: Integer Functions + +5.16 Special Functions +====================== + +The functions in this section are for various special purposes. Most +applications will not need them. + + -- Function: void mpz_array_init (mpz_t INTEGER_ARRAY, mp_size_t + ARRAY_SIZE, mp_size_t FIXED_NUM_BITS) + *This is an obsolete function. Do not use it.* + + -- Function: void * _mpz_realloc (mpz_t INTEGER, mp_size_t NEW_ALLOC) + Change the space for INTEGER to NEW_ALLOC limbs. The value in + INTEGER is preserved if it fits, or is set to 0 if not. The return + value is not useful to applications and should be ignored. + + 'mpz_realloc2' is the preferred way to accomplish allocation + changes like this. 'mpz_realloc2' and '_mpz_realloc' are the same + except that '_mpz_realloc' takes its size in limbs. + + -- Function: mp_limb_t mpz_getlimbn (const mpz_t OP, mp_size_t N) + Return limb number N from OP. The sign of OP is ignored, just the + absolute value is used. The least significant limb is number 0. + + 'mpz_size' can be used to find how many limbs make up OP. + 'mpz_getlimbn' returns zero if N is outside the range 0 to + 'mpz_size(OP)-1'. + + -- Function: size_t mpz_size (const mpz_t OP) + Return the size of OP measured in number of limbs. If OP is zero, + the returned value will be zero. + + -- Function: const mp_limb_t * mpz_limbs_read (const mpz_t X) + Return a pointer to the limb array representing the absolute value + of X. The size of the array is 'mpz_size(X)'. Intended for read + access only. + + -- Function: mp_limb_t * mpz_limbs_write (mpz_t X, mp_size_t N) + -- Function: mp_limb_t * mpz_limbs_modify (mpz_t X, mp_size_t N) + Return a pointer to the limb array, intended for write access. The + array is reallocated as needed, to make room for N limbs. Requires + N > 0. The 'mpz_limbs_modify' function returns an array that holds + the old absolute value of X, while 'mpz_limbs_write' may destroy + the old value and return an array with unspecified contents. + + -- Function: void mpz_limbs_finish (mpz_t X, mp_size_t S) + Updates the internal size field of X. Used after writing to the + limb array pointer returned by 'mpz_limbs_write' or + 'mpz_limbs_modify' is completed. The array should contain abs(S) + valid limbs, representing the new absolute value for X, and the + sign of X is taken from the sign of S. This function never + reallocates X, so the limb pointer remains valid. + + void foo (mpz_t x) + { + mp_size_t n, i; + mp_limb_t *xp; + + n = mpz_size (x); + xp = mpz_limbs_modify (x, 2*n); + for (i = 0; i < n; i++) + xp[n+i] = xp[n-1-i]; + mpz_limbs_finish (x, mpz_sgn (x) < 0 ? - 2*n : 2*n); + } + + -- Function: mpz_srcptr mpz_roinit_n (mpz_t X, const mp_limb_t *XP, + mp_size_t XS) + Special initialization of X, using the given limb array and size. + X should be treated as read-only: it can be passed safely as input + to any mpz function, but not as an output. The array XP must point + to at least a readable limb, its size is abs(XS), and the sign of X + is the sign of XS. For convenience, the function returns X, but + cast to a const pointer type. + + void foo (mpz_t x) + { + static const mp_limb_t y[3] = { 0x1, 0x2, 0x3 }; + mpz_t tmp; + mpz_add (x, x, mpz_roinit_n (tmp, y, 3)); + } + + -- Macro: mpz_t MPZ_ROINIT_N (mp_limb_t *XP, mp_size_t XS) + This macro expands to an initializer which can be assigned to an + mpz_t variable. The limb array XP must point to at least a + readable limb, moreover, unlike the 'mpz_roinit_n' function, the + array must be normalized: if XS is non-zero, then 'XP[abs(XS)-1]' + must be non-zero. Intended primarily for constant values. Using + it for non-constant values requires a C compiler supporting C99. + + void foo (mpz_t x) + { + static const mp_limb_t ya[3] = { 0x1, 0x2, 0x3 }; + static const mpz_t y = MPZ_ROINIT_N ((mp_limb_t *) ya, 3); + + mpz_add (x, x, y); + } + + +File: gmp.info, Node: Rational Number Functions, Next: Floating-point Functions, Prev: Integer Functions, Up: Top + +6 Rational Number Functions +*************************** + +This chapter describes the GMP functions for performing arithmetic on +rational numbers. These functions start with the prefix 'mpq_'. + + Rational numbers are stored in objects of type 'mpq_t'. + + All rational arithmetic functions assume operands have a canonical +form, and canonicalize their result. The canonical form means that the +denominator and the numerator have no common factors, and that the +denominator is positive. Zero has the unique representation 0/1. + + Pure assignment functions do not canonicalize the assigned variable. +It is the responsibility of the user to canonicalize the assigned +variable before any arithmetic operations are performed on that +variable. + + -- Function: void mpq_canonicalize (mpq_t OP) + Remove any factors that are common to the numerator and denominator + of OP, and make the denominator positive. + +* Menu: + +* Initializing Rationals:: +* Rational Conversions:: +* Rational Arithmetic:: +* Comparing Rationals:: +* Applying Integer Functions:: +* I/O of Rationals:: + + +File: gmp.info, Node: Initializing Rationals, Next: Rational Conversions, Prev: Rational Number Functions, Up: Rational Number Functions + +6.1 Initialization and Assignment Functions +=========================================== + + -- Function: void mpq_init (mpq_t X) + Initialize X and set it to 0/1. Each variable should normally only + be initialized once, or at least cleared out (using the function + 'mpq_clear') between each initialization. + + -- Function: void mpq_inits (mpq_t X, ...) + Initialize a NULL-terminated list of 'mpq_t' variables, and set + their values to 0/1. + + -- Function: void mpq_clear (mpq_t X) + Free the space occupied by X. Make sure to call this function for + all 'mpq_t' variables when you are done with them. + + -- Function: void mpq_clears (mpq_t X, ...) + Free the space occupied by a NULL-terminated list of 'mpq_t' + variables. + + -- Function: void mpq_set (mpq_t ROP, const mpq_t OP) + -- Function: void mpq_set_z (mpq_t ROP, const mpz_t OP) + Assign ROP from OP. + + -- Function: void mpq_set_ui (mpq_t ROP, unsigned long int OP1, + unsigned long int OP2) + -- Function: void mpq_set_si (mpq_t ROP, signed long int OP1, unsigned + long int OP2) + Set the value of ROP to OP1/OP2. Note that if OP1 and OP2 have + common factors, ROP has to be passed to 'mpq_canonicalize' before + any operations are performed on ROP. + + -- Function: int mpq_set_str (mpq_t ROP, const char *STR, int BASE) + Set ROP from a null-terminated string STR in the given BASE. + + The string can be an integer like "41" or a fraction like "41/152". + The fraction must be in canonical form (*note Rational Number + Functions::), or if not then 'mpq_canonicalize' must be called. + + The numerator and optional denominator are parsed the same as in + 'mpz_set_str' (*note Assigning Integers::). White space is allowed + in the string, and is simply ignored. The BASE can vary from 2 to + 62, or if BASE is 0 then the leading characters are used: '0x' or + '0X' for hex, '0b' or '0B' for binary, '0' for octal, or decimal + otherwise. Note that this is done separately for the numerator and + denominator, so for instance '0xEF/100' is 239/100, whereas + '0xEF/0x100' is 239/256. + + The return value is 0 if the entire string is a valid number, or -1 + if not. + + -- Function: void mpq_swap (mpq_t ROP1, mpq_t ROP2) + Swap the values ROP1 and ROP2 efficiently. + + +File: gmp.info, Node: Rational Conversions, Next: Rational Arithmetic, Prev: Initializing Rationals, Up: Rational Number Functions + +6.2 Conversion Functions +======================== + + -- Function: double mpq_get_d (const mpq_t OP) + Convert OP to a 'double', truncating if necessary (i.e. rounding + towards zero). + + If the exponent from the conversion is too big or too small to fit + a 'double' then the result is system dependent. For too big an + infinity is returned when available. For too small 0.0 is normally + returned. Hardware overflow, underflow and denorm traps may or may + not occur. + + -- Function: void mpq_set_d (mpq_t ROP, double OP) + -- Function: void mpq_set_f (mpq_t ROP, const mpf_t OP) + Set ROP to the value of OP. There is no rounding, this conversion + is exact. + + -- Function: char * mpq_get_str (char *STR, int BASE, const mpq_t OP) + Convert OP to a string of digits in base BASE. The base argument + may vary from 2 to 62 or from -2 to -36. The string will be of the + form 'num/den', or if the denominator is 1 then just 'num'. + + For BASE in the range 2..36, digits and lower-case letters are + used; for -2..-36, digits and upper-case letters are used; for + 37..62, digits, upper-case letters, and lower-case letters (in that + significance order) are used. + + If STR is 'NULL', the result string is allocated using the current + allocation function (*note Custom Allocation::). The block will be + 'strlen(str)+1' bytes, that being exactly enough for the string and + null-terminator. + + If STR is not 'NULL', it should point to a block of storage large + enough for the result, that being + + mpz_sizeinbase (mpq_numref(OP), BASE) + + mpz_sizeinbase (mpq_denref(OP), BASE) + 3 + + The three extra bytes are for a possible minus sign, possible + slash, and the null-terminator. + + A pointer to the result string is returned, being either the + allocated block, or the given STR. + + +File: gmp.info, Node: Rational Arithmetic, Next: Comparing Rationals, Prev: Rational Conversions, Up: Rational Number Functions + +6.3 Arithmetic Functions +======================== + + -- Function: void mpq_add (mpq_t SUM, const mpq_t ADDEND1, const mpq_t + ADDEND2) + Set SUM to ADDEND1 + ADDEND2. + + -- Function: void mpq_sub (mpq_t DIFFERENCE, const mpq_t MINUEND, const + mpq_t SUBTRAHEND) + Set DIFFERENCE to MINUEND - SUBTRAHEND. + + -- Function: void mpq_mul (mpq_t PRODUCT, const mpq_t MULTIPLIER, const + mpq_t MULTIPLICAND) + Set PRODUCT to MULTIPLIER times MULTIPLICAND. + + -- Function: void mpq_mul_2exp (mpq_t ROP, const mpq_t OP1, mp_bitcnt_t + OP2) + Set ROP to OP1 times 2 raised to OP2. + + -- Function: void mpq_div (mpq_t QUOTIENT, const mpq_t DIVIDEND, const + mpq_t DIVISOR) + Set QUOTIENT to DIVIDEND/DIVISOR. + + -- Function: void mpq_div_2exp (mpq_t ROP, const mpq_t OP1, mp_bitcnt_t + OP2) + Set ROP to OP1 divided by 2 raised to OP2. + + -- Function: void mpq_neg (mpq_t NEGATED_OPERAND, const mpq_t OPERAND) + Set NEGATED_OPERAND to -OPERAND. + + -- Function: void mpq_abs (mpq_t ROP, const mpq_t OP) + Set ROP to the absolute value of OP. + + -- Function: void mpq_inv (mpq_t INVERTED_NUMBER, const mpq_t NUMBER) + Set INVERTED_NUMBER to 1/NUMBER. If the new denominator is zero, + this routine will divide by zero. + + +File: gmp.info, Node: Comparing Rationals, Next: Applying Integer Functions, Prev: Rational Arithmetic, Up: Rational Number Functions + +6.4 Comparison Functions +======================== + + -- Function: int mpq_cmp (const mpq_t OP1, const mpq_t OP2) + -- Function: int mpq_cmp_z (const mpq_t OP1, const mpz_t OP2) + Compare OP1 and OP2. Return a positive value if OP1 > OP2, zero if + OP1 = OP2, and a negative value if OP1 < OP2. + + To determine if two rationals are equal, 'mpq_equal' is faster than + 'mpq_cmp'. + + -- Macro: int mpq_cmp_ui (const mpq_t OP1, unsigned long int NUM2, + unsigned long int DEN2) + -- Macro: int mpq_cmp_si (const mpq_t OP1, long int NUM2, unsigned long + int DEN2) + Compare OP1 and NUM2/DEN2. Return a positive value if OP1 > + NUM2/DEN2, zero if OP1 = NUM2/DEN2, and a negative value if OP1 < + NUM2/DEN2. + + NUM2 and DEN2 are allowed to have common factors. + + These functions are implemented as macros and evaluate their + arguments multiple times. + + -- Macro: int mpq_sgn (const mpq_t OP) + Return +1 if OP > 0, 0 if OP = 0, and -1 if OP < 0. + + This function is actually implemented as a macro. It evaluates its + argument multiple times. + + -- Function: int mpq_equal (const mpq_t OP1, const mpq_t OP2) + Return non-zero if OP1 and OP2 are equal, zero if they are + non-equal. Although 'mpq_cmp' can be used for the same purpose, + this function is much faster. + + +File: gmp.info, Node: Applying Integer Functions, Next: I/O of Rationals, Prev: Comparing Rationals, Up: Rational Number Functions + +6.5 Applying Integer Functions to Rationals +=========================================== + +The set of 'mpq' functions is quite small. In particular, there are few +functions for either input or output. The following functions give +direct access to the numerator and denominator of an 'mpq_t'. + + Note that if an assignment to the numerator and/or denominator could +take an 'mpq_t' out of the canonical form described at the start of this +chapter (*note Rational Number Functions::) then 'mpq_canonicalize' must +be called before any other 'mpq' functions are applied to that 'mpq_t'. + + -- Macro: mpz_ptr mpq_numref (const mpq_t OP) + -- Macro: mpz_ptr mpq_denref (const mpq_t OP) + Return a reference to the numerator and denominator of OP, + respectively. The 'mpz' functions can be used on the result of + these macros. Such calls may modify the numerator or denominator. + However, care should be taken so that OP remains in canonical form + prior to a possible later call to an 'mpq' function. + + -- Function: void mpq_get_num (mpz_t NUMERATOR, const mpq_t RATIONAL) + -- Function: void mpq_get_den (mpz_t DENOMINATOR, const mpq_t RATIONAL) + -- Function: void mpq_set_num (mpq_t RATIONAL, const mpz_t NUMERATOR) + -- Function: void mpq_set_den (mpq_t RATIONAL, const mpz_t DENOMINATOR) + Get or set the numerator or denominator of a rational. These + functions are equivalent to calling 'mpz_set' with an appropriate + 'mpq_numref' or 'mpq_denref'. Direct use of 'mpq_numref' or + 'mpq_denref' is recommended instead of these functions. + + +File: gmp.info, Node: I/O of Rationals, Prev: Applying Integer Functions, Up: Rational Number Functions + +6.6 Input and Output Functions +============================== + +Functions that perform input from a stdio stream, and functions that +output to a stdio stream, of 'mpq' numbers. Passing a 'NULL' pointer +for a STREAM argument to any of these functions will make them read from +'stdin' and write to 'stdout', respectively. + + When using any of these functions, it is a good idea to include +'stdio.h' before 'gmp.h', since that will allow 'gmp.h' to define +prototypes for these functions. + + See also *note Formatted Output:: and *note Formatted Input::. + + -- Function: size_t mpq_out_str (FILE *STREAM, int BASE, const mpq_t + OP) + Output OP on stdio stream STREAM, as a string of digits in base + BASE. The base argument may vary from 2 to 62 or from -2 to -36. + Output is in the form 'num/den' or if the denominator is 1 then + just 'num'. + + For BASE in the range 2..36, digits and lower-case letters are + used; for -2..-36, digits and upper-case letters are used; for + 37..62, digits, upper-case letters, and lower-case letters (in that + significance order) are used. + + Return the number of bytes written, or if an error occurred, return + 0. + + -- Function: size_t mpq_inp_str (mpq_t ROP, FILE *STREAM, int BASE) + Read a string of digits from STREAM and convert them to a rational + in ROP. Any initial white-space characters are read and discarded. + Return the number of characters read (including white space), or 0 + if a rational could not be read. + + The input can be a fraction like '17/63' or just an integer like + '123'. Reading stops at the first character not in this form, and + white space is not permitted within the string. If the input might + not be in canonical form, then 'mpq_canonicalize' must be called + (*note Rational Number Functions::). + + The BASE can be between 2 and 62, or can be 0 in which case the + leading characters of the string determine the base, '0x' or '0X' + for hexadecimal, '0b' and '0B' for binary, '0' for octal, or + decimal otherwise. The leading characters are examined separately + for the numerator and denominator of a fraction, so for instance + '0x10/11' is 16/11, whereas '0x10/0x11' is 16/17. + + +File: gmp.info, Node: Floating-point Functions, Next: Low-level Functions, Prev: Rational Number Functions, Up: Top + +7 Floating-point Functions +************************** + +GMP floating point numbers are stored in objects of type 'mpf_t' and +functions operating on them have an 'mpf_' prefix. + + The mantissa of each float has a user-selectable precision, in +practice only limited by available memory. Each variable has its own +precision, and that can be increased or decreased at any time. This +selectable precision is a minimum value, GMP rounds it up to a whole +limb. + + The accuracy of a calculation is determined by the priorly set +precision of the destination variable and the numeric values of the +input variables. Input variables' set precisions do not affect +calculations (except indirectly as their values might have been affected +when they were assigned). + + The exponent of each float has fixed precision, one machine word on +most systems. In the current implementation the exponent is a count of +limbs, so for example on a 32-bit system this means a range of roughly +2^-68719476768 to 2^68719476736, or on a 64-bit system this will be much +greater. Note however that 'mpf_get_str' can only return an exponent +which fits an 'mp_exp_t' and currently 'mpf_set_str' doesn't accept +exponents bigger than a 'long'. + + Each variable keeps track of the mantissa data actually in use. This +means that if a float is exactly represented in only a few bits then +only those bits will be used in a calculation, even if the variable's +selected precision is high. This is a performance optimization; it does +not affect the numeric results. + + Internally, GMP sometimes calculates with higher precision than that +of the destination variable in order to limit errors. Final results are +always truncated to the destination variable's precision. + + The mantissa is stored in binary. One consequence of this is that +decimal fractions like 0.1 cannot be represented exactly. The same is +true of plain IEEE 'double' floats. This makes both highly unsuitable +for calculations involving money or other values that should be exact +decimal fractions. (Suitably scaled integers, or perhaps rationals, are +better choices.) + + The 'mpf' functions and variables have no special notion of infinity +or not-a-number, and applications must take care not to overflow the +exponent or results will be unpredictable. + + Note that the 'mpf' functions are _not_ intended as a smooth +extension to IEEE P754 arithmetic. In particular results obtained on +one computer often differ from the results on a computer with a +different word size. + + New projects should consider using the GMP extension library MPFR +() instead. MPFR provides well-defined precision +and accurate rounding, and thereby naturally extends IEEE P754. + +* Menu: + +* Initializing Floats:: +* Assigning Floats:: +* Simultaneous Float Init & Assign:: +* Converting Floats:: +* Float Arithmetic:: +* Float Comparison:: +* I/O of Floats:: +* Miscellaneous Float Functions:: + + +File: gmp.info, Node: Initializing Floats, Next: Assigning Floats, Prev: Floating-point Functions, Up: Floating-point Functions + +7.1 Initialization Functions +============================ + + -- Function: void mpf_set_default_prec (mp_bitcnt_t PREC) + Set the default precision to be *at least* PREC bits. All + subsequent calls to 'mpf_init' will use this precision, but + previously initialized variables are unaffected. + + -- Function: mp_bitcnt_t mpf_get_default_prec (void) + Return the default precision actually used. + + An 'mpf_t' object must be initialized before storing the first value +in it. The functions 'mpf_init' and 'mpf_init2' are used for that +purpose. + + -- Function: void mpf_init (mpf_t X) + Initialize X to 0. Normally, a variable should be initialized once + only or at least be cleared, using 'mpf_clear', between + initializations. The precision of X is undefined unless a default + precision has already been established by a call to + 'mpf_set_default_prec'. + + -- Function: void mpf_init2 (mpf_t X, mp_bitcnt_t PREC) + Initialize X to 0 and set its precision to be *at least* PREC bits. + Normally, a variable should be initialized once only or at least be + cleared, using 'mpf_clear', between initializations. + + -- Function: void mpf_inits (mpf_t X, ...) + Initialize a NULL-terminated list of 'mpf_t' variables, and set + their values to 0. The precision of the initialized variables is + undefined unless a default precision has already been established + by a call to 'mpf_set_default_prec'. + + -- Function: void mpf_clear (mpf_t X) + Free the space occupied by X. Make sure to call this function for + all 'mpf_t' variables when you are done with them. + + -- Function: void mpf_clears (mpf_t X, ...) + Free the space occupied by a NULL-terminated list of 'mpf_t' + variables. + + Here is an example on how to initialize floating-point variables: + { + mpf_t x, y; + mpf_init (x); /* use default precision */ + mpf_init2 (y, 256); /* precision _at least_ 256 bits */ + ... + /* Unless the program is about to exit, do ... */ + mpf_clear (x); + mpf_clear (y); + } + + The following three functions are useful for changing the precision +during a calculation. A typical use would be for adjusting the +precision gradually in iterative algorithms like Newton-Raphson, making +the computation precision closely match the actual accurate part of the +numbers. + + -- Function: mp_bitcnt_t mpf_get_prec (const mpf_t OP) + Return the current precision of OP, in bits. + + -- Function: void mpf_set_prec (mpf_t ROP, mp_bitcnt_t PREC) + Set the precision of ROP to be *at least* PREC bits. The value in + ROP will be truncated to the new precision. + + This function requires a call to 'realloc', and so should not be + used in a tight loop. + + -- Function: void mpf_set_prec_raw (mpf_t ROP, mp_bitcnt_t PREC) + Set the precision of ROP to be *at least* PREC bits, without + changing the memory allocated. + + PREC must be no more than the allocated precision for ROP, that + being the precision when ROP was initialized, or in the most recent + 'mpf_set_prec'. + + The value in ROP is unchanged, and in particular if it had a higher + precision than PREC it will retain that higher precision. New + values written to ROP will use the new PREC. + + Before calling 'mpf_clear' or the full 'mpf_set_prec', another + 'mpf_set_prec_raw' call must be made to restore ROP to its original + allocated precision. Failing to do so will have unpredictable + results. + + 'mpf_get_prec' can be used before 'mpf_set_prec_raw' to get the + original allocated precision. After 'mpf_set_prec_raw' it reflects + the PREC value set. + + 'mpf_set_prec_raw' is an efficient way to use an 'mpf_t' variable + at different precisions during a calculation, perhaps to gradually + increase precision in an iteration, or just to use various + different precisions for different purposes during a calculation. + + +File: gmp.info, Node: Assigning Floats, Next: Simultaneous Float Init & Assign, Prev: Initializing Floats, Up: Floating-point Functions + +7.2 Assignment Functions +======================== + +These functions assign new values to already initialized floats (*note +Initializing Floats::). + + -- Function: void mpf_set (mpf_t ROP, const mpf_t OP) + -- Function: void mpf_set_ui (mpf_t ROP, unsigned long int OP) + -- Function: void mpf_set_si (mpf_t ROP, signed long int OP) + -- Function: void mpf_set_d (mpf_t ROP, double OP) + -- Function: void mpf_set_z (mpf_t ROP, const mpz_t OP) + -- Function: void mpf_set_q (mpf_t ROP, const mpq_t OP) + Set the value of ROP from OP. + + -- Function: int mpf_set_str (mpf_t ROP, const char *STR, int BASE) + Set the value of ROP from the string in STR. The string is of the + form 'M@N' or, if the base is 10 or less, alternatively 'MeN'. 'M' + is the mantissa and 'N' is the exponent. The mantissa is always in + the specified base. The exponent is either in the specified base + or, if BASE is negative, in decimal. The decimal point expected is + taken from the current locale, on systems providing 'localeconv'. + + The argument BASE may be in the ranges 2 to 62, or -62 to -2. + Negative values are used to specify that the exponent is in + decimal. + + For bases up to 36, case is ignored; upper-case and lower-case + letters have the same value; for bases 37 to 62, upper-case letters + represent the usual 10..35 while lower-case letters represent + 36..61. + + Unlike the corresponding 'mpz' function, the base will not be + determined from the leading characters of the string if BASE is 0. + This is so that numbers like '0.23' are not interpreted as octal. + + White space is allowed in the string, and is simply ignored. [This + is not really true; white-space is ignored in the beginning of the + string and within the mantissa, but not in other places, such as + after a minus sign or in the exponent. We are considering changing + the definition of this function, making it fail when there is any + white-space in the input, since that makes a lot of sense. Please + tell us your opinion about this change. Do you really want it to + accept "3 14" as meaning 314 as it does now?] + + This function returns 0 if the entire string is a valid number in + base BASE. Otherwise it returns -1. + + -- Function: void mpf_swap (mpf_t ROP1, mpf_t ROP2) + Swap ROP1 and ROP2 efficiently. Both the values and the precisions + of the two variables are swapped. + + +File: gmp.info, Node: Simultaneous Float Init & Assign, Next: Converting Floats, Prev: Assigning Floats, Up: Floating-point Functions + +7.3 Combined Initialization and Assignment Functions +==================================================== + +For convenience, GMP provides a parallel series of initialize-and-set +functions which initialize the output and then store the value there. +These functions' names have the form 'mpf_init_set...' + + Once the float has been initialized by any of the 'mpf_init_set...' +functions, it can be used as the source or destination operand for the +ordinary float functions. Don't use an initialize-and-set function on a +variable already initialized! + + -- Function: void mpf_init_set (mpf_t ROP, const mpf_t OP) + -- Function: void mpf_init_set_ui (mpf_t ROP, unsigned long int OP) + -- Function: void mpf_init_set_si (mpf_t ROP, signed long int OP) + -- Function: void mpf_init_set_d (mpf_t ROP, double OP) + Initialize ROP and set its value from OP. + + The precision of ROP will be taken from the active default + precision, as set by 'mpf_set_default_prec'. + + -- Function: int mpf_init_set_str (mpf_t ROP, const char *STR, int + BASE) + Initialize ROP and set its value from the string in STR. See + 'mpf_set_str' above for details on the assignment operation. + + Note that ROP is initialized even if an error occurs. (I.e., you + have to call 'mpf_clear' for it.) + + The precision of ROP will be taken from the active default + precision, as set by 'mpf_set_default_prec'. + + +File: gmp.info, Node: Converting Floats, Next: Float Arithmetic, Prev: Simultaneous Float Init & Assign, Up: Floating-point Functions + +7.4 Conversion Functions +======================== + + -- Function: double mpf_get_d (const mpf_t OP) + Convert OP to a 'double', truncating if necessary (i.e. rounding + towards zero). + + If the exponent in OP is too big or too small to fit a 'double' + then the result is system dependent. For too big an infinity is + returned when available. For too small 0.0 is normally returned. + Hardware overflow, underflow and denorm traps may or may not occur. + + -- Function: double mpf_get_d_2exp (signed long int *EXP, const mpf_t + OP) + Convert OP to a 'double', truncating if necessary (i.e. rounding + towards zero), and with an exponent returned separately. + + The return value is in the range 0.5<=abs(D)<1 and the exponent is + stored to '*EXP'. D * 2^EXP is the (truncated) OP value. If OP is + zero, the return is 0.0 and 0 is stored to '*EXP'. + + This is similar to the standard C 'frexp' function (*note + (libc)Normalization Functions::). + + -- Function: long mpf_get_si (const mpf_t OP) + -- Function: unsigned long mpf_get_ui (const mpf_t OP) + Convert OP to a 'long' or 'unsigned long', truncating any fraction + part. If OP is too big for the return type, the result is + undefined. + + See also 'mpf_fits_slong_p' and 'mpf_fits_ulong_p' (*note + Miscellaneous Float Functions::). + + -- Function: char * mpf_get_str (char *STR, mp_exp_t *EXPPTR, int BASE, + size_t N_DIGITS, const mpf_t OP) + Convert OP to a string of digits in base BASE. The base argument + may vary from 2 to 62 or from -2 to -36. Up to N_DIGITS digits + will be generated. Trailing zeros are not returned. No more + digits than can be accurately represented by OP are ever generated. + If N_DIGITS is 0 then that accurate maximum number of digits are + generated. + + For BASE in the range 2..36, digits and lower-case letters are + used; for -2..-36, digits and upper-case letters are used; for + 37..62, digits, upper-case letters, and lower-case letters (in that + significance order) are used. + + If STR is 'NULL', the result string is allocated using the current + allocation function (*note Custom Allocation::). The block will be + 'strlen(str)+1' bytes, that being exactly enough for the string and + null-terminator. + + If STR is not 'NULL', it should point to a block of N_DIGITS + 2 + bytes, that being enough for the mantissa, a possible minus sign, + and a null-terminator. When N_DIGITS is 0 to get all significant + digits, an application won't be able to know the space required, + and STR should be 'NULL' in that case. + + The generated string is a fraction, with an implicit radix point + immediately to the left of the first digit. The applicable + exponent is written through the EXPPTR pointer. For example, the + number 3.1416 would be returned as string "31416" and exponent 1. + + When OP is zero, an empty string is produced and the exponent + returned is 0. + + A pointer to the result string is returned, being either the + allocated block or the given STR. + + +File: gmp.info, Node: Float Arithmetic, Next: Float Comparison, Prev: Converting Floats, Up: Floating-point Functions + +7.5 Arithmetic Functions +======================== + + -- Function: void mpf_add (mpf_t ROP, const mpf_t OP1, const mpf_t OP2) + -- Function: void mpf_add_ui (mpf_t ROP, const mpf_t OP1, unsigned long + int OP2) + Set ROP to OP1 + OP2. + + -- Function: void mpf_sub (mpf_t ROP, const mpf_t OP1, const mpf_t OP2) + -- Function: void mpf_ui_sub (mpf_t ROP, unsigned long int OP1, const + mpf_t OP2) + -- Function: void mpf_sub_ui (mpf_t ROP, const mpf_t OP1, unsigned long + int OP2) + Set ROP to OP1 - OP2. + + -- Function: void mpf_mul (mpf_t ROP, const mpf_t OP1, const mpf_t OP2) + -- Function: void mpf_mul_ui (mpf_t ROP, const mpf_t OP1, unsigned long + int OP2) + Set ROP to OP1 times OP2. + + Division is undefined if the divisor is zero, and passing a zero +divisor to the divide functions will make these functions intentionally +divide by zero. This lets the user handle arithmetic exceptions in +these functions in the same manner as other arithmetic exceptions. + + -- Function: void mpf_div (mpf_t ROP, const mpf_t OP1, const mpf_t OP2) + -- Function: void mpf_ui_div (mpf_t ROP, unsigned long int OP1, const + mpf_t OP2) + -- Function: void mpf_div_ui (mpf_t ROP, const mpf_t OP1, unsigned long + int OP2) + Set ROP to OP1/OP2. + + -- Function: void mpf_sqrt (mpf_t ROP, const mpf_t OP) + -- Function: void mpf_sqrt_ui (mpf_t ROP, unsigned long int OP) + Set ROP to the square root of OP. + + -- Function: void mpf_pow_ui (mpf_t ROP, const mpf_t OP1, unsigned long + int OP2) + Set ROP to OP1 raised to the power OP2. + + -- Function: void mpf_neg (mpf_t ROP, const mpf_t OP) + Set ROP to -OP. + + -- Function: void mpf_abs (mpf_t ROP, const mpf_t OP) + Set ROP to the absolute value of OP. + + -- Function: void mpf_mul_2exp (mpf_t ROP, const mpf_t OP1, mp_bitcnt_t + OP2) + Set ROP to OP1 times 2 raised to OP2. + + -- Function: void mpf_div_2exp (mpf_t ROP, const mpf_t OP1, mp_bitcnt_t + OP2) + Set ROP to OP1 divided by 2 raised to OP2. + + +File: gmp.info, Node: Float Comparison, Next: I/O of Floats, Prev: Float Arithmetic, Up: Floating-point Functions + +7.6 Comparison Functions +======================== + + -- Function: int mpf_cmp (const mpf_t OP1, const mpf_t OP2) + -- Function: int mpf_cmp_z (const mpf_t OP1, const mpz_t OP2) + -- Function: int mpf_cmp_d (const mpf_t OP1, double OP2) + -- Function: int mpf_cmp_ui (const mpf_t OP1, unsigned long int OP2) + -- Function: int mpf_cmp_si (const mpf_t OP1, signed long int OP2) + Compare OP1 and OP2. Return a positive value if OP1 > OP2, zero if + OP1 = OP2, and a negative value if OP1 < OP2. + + 'mpf_cmp_d' can be called with an infinity, but results are + undefined for a NaN. + + -- Function: int mpf_eq (const mpf_t OP1, const mpf_t OP2, mp_bitcnt_t + op3) + *This function is mathematically ill-defined and should not be + used.* + + Return non-zero if the first OP3 bits of OP1 and OP2 are equal, + zero otherwise. Note that numbers like e.g., 256 (binary + 100000000) and 255 (binary 11111111) will never be equal by this + function's measure, and furthermore that 0 will only be equal to + itself. + + -- Function: void mpf_reldiff (mpf_t ROP, const mpf_t OP1, const mpf_t + OP2) + Compute the relative difference between OP1 and OP2 and store the + result in ROP. This is abs(OP1-OP2)/OP1. + + -- Macro: int mpf_sgn (const mpf_t OP) + Return +1 if OP > 0, 0 if OP = 0, and -1 if OP < 0. + + This function is actually implemented as a macro. It evaluates its + argument multiple times. + + +File: gmp.info, Node: I/O of Floats, Next: Miscellaneous Float Functions, Prev: Float Comparison, Up: Floating-point Functions + +7.7 Input and Output Functions +============================== + +Functions that perform input from a stdio stream, and functions that +output to a stdio stream, of 'mpf' numbers. Passing a 'NULL' pointer +for a STREAM argument to any of these functions will make them read from +'stdin' and write to 'stdout', respectively. + + When using any of these functions, it is a good idea to include +'stdio.h' before 'gmp.h', since that will allow 'gmp.h' to define +prototypes for these functions. + + See also *note Formatted Output:: and *note Formatted Input::. + + -- Function: size_t mpf_out_str (FILE *STREAM, int BASE, size_t + N_DIGITS, const mpf_t OP) + Print OP to STREAM, as a string of digits. Return the number of + bytes written, or if an error occurred, return 0. + + The mantissa is prefixed with an '0.' and is in the given BASE, + which may vary from 2 to 62 or from -2 to -36. An exponent is then + printed, separated by an 'e', or if the base is greater than 10 + then by an '@'. The exponent is always in decimal. The decimal + point follows the current locale, on systems providing + 'localeconv'. + + For BASE in the range 2..36, digits and lower-case letters are + used; for -2..-36, digits and upper-case letters are used; for + 37..62, digits, upper-case letters, and lower-case letters (in that + significance order) are used. + + Up to N_DIGITS will be printed from the mantissa, except that no + more digits than are accurately representable by OP will be + printed. N_DIGITS can be 0 to select that accurate maximum. + + -- Function: size_t mpf_inp_str (mpf_t ROP, FILE *STREAM, int BASE) + Read a string in base BASE from STREAM, and put the read float in + ROP. The string is of the form 'M@N' or, if the base is 10 or + less, alternatively 'MeN'. 'M' is the mantissa and 'N' is the + exponent. The mantissa is always in the specified base. The + exponent is either in the specified base or, if BASE is negative, + in decimal. The decimal point expected is taken from the current + locale, on systems providing 'localeconv'. + + The argument BASE may be in the ranges 2 to 36, or -36 to -2. + Negative values are used to specify that the exponent is in + decimal. + + Unlike the corresponding 'mpz' function, the base will not be + determined from the leading characters of the string if BASE is 0. + This is so that numbers like '0.23' are not interpreted as octal. + + Return the number of bytes read, or if an error occurred, return 0. + + +File: gmp.info, Node: Miscellaneous Float Functions, Prev: I/O of Floats, Up: Floating-point Functions + +7.8 Miscellaneous Functions +=========================== + + -- Function: void mpf_ceil (mpf_t ROP, const mpf_t OP) + -- Function: void mpf_floor (mpf_t ROP, const mpf_t OP) + -- Function: void mpf_trunc (mpf_t ROP, const mpf_t OP) + Set ROP to OP rounded to an integer. 'mpf_ceil' rounds to the next + higher integer, 'mpf_floor' to the next lower, and 'mpf_trunc' to + the integer towards zero. + + -- Function: int mpf_integer_p (const mpf_t OP) + Return non-zero if OP is an integer. + + -- Function: int mpf_fits_ulong_p (const mpf_t OP) + -- Function: int mpf_fits_slong_p (const mpf_t OP) + -- Function: int mpf_fits_uint_p (const mpf_t OP) + -- Function: int mpf_fits_sint_p (const mpf_t OP) + -- Function: int mpf_fits_ushort_p (const mpf_t OP) + -- Function: int mpf_fits_sshort_p (const mpf_t OP) + Return non-zero if OP would fit in the respective C data type, when + truncated to an integer. + + -- Function: void mpf_urandomb (mpf_t ROP, gmp_randstate_t STATE, + mp_bitcnt_t NBITS) + Generate a uniformly distributed random float in ROP, such that 0 + <= ROP < 1, with NBITS significant bits in the mantissa or less if + the precision of ROP is smaller. + + The variable STATE must be initialized by calling one of the + 'gmp_randinit' functions (*note Random State Initialization::) + before invoking this function. + + -- Function: void mpf_random2 (mpf_t ROP, mp_size_t MAX_SIZE, mp_exp_t + EXP) + Generate a random float of at most MAX_SIZE limbs, with long + strings of zeros and ones in the binary representation. The + exponent of the number is in the interval -EXP to EXP (in limbs). + This function is useful for testing functions and algorithms, since + these kind of random numbers have proven to be more likely to + trigger corner-case bugs. Negative random numbers are generated + when MAX_SIZE is negative. + + +File: gmp.info, Node: Low-level Functions, Next: Random Number Functions, Prev: Floating-point Functions, Up: Top + +8 Low-level Functions +********************* + +This chapter describes low-level GMP functions, used to implement the +high-level GMP functions, but also intended for time-critical user code. + + These functions start with the prefix 'mpn_'. + + The 'mpn' functions are designed to be as fast as possible, *not* to +provide a coherent calling interface. The different functions have +somewhat similar interfaces, but there are variations that make them +hard to use. These functions do as little as possible apart from the +real multiple precision computation, so that no time is spent on things +that not all callers need. + + A source operand is specified by a pointer to the least significant +limb and a limb count. A destination operand is specified by just a +pointer. It is the responsibility of the caller to ensure that the +destination has enough space for storing the result. + + With this way of specifying operands, it is possible to perform +computations on subranges of an argument, and store the result into a +subrange of a destination. + + A common requirement for all functions is that each source area needs +at least one limb. No size argument may be zero. Unless otherwise +stated, in-place operations are allowed where source and destination are +the same, but not where they only partly overlap. + + The 'mpn' functions are the base for the implementation of the +'mpz_', 'mpf_', and 'mpq_' functions. + + This example adds the number beginning at S1P and the number +beginning at S2P and writes the sum at DESTP. All areas have N limbs. + + cy = mpn_add_n (destp, s1p, s2p, n) + + It should be noted that the 'mpn' functions make no attempt to +identify high or low zero limbs on their operands, or other special +forms. On random data such cases will be unlikely and it'd be wasteful +for every function to check every time. An application knowing +something about its data can take steps to trim or perhaps split its +calculations. + + +In the notation used below, a source operand is identified by the +pointer to the least significant limb, and the limb count in braces. +For example, {S1P, S1N}. + + -- Function: mp_limb_t mpn_add_n (mp_limb_t *RP, const mp_limb_t *S1P, + const mp_limb_t *S2P, mp_size_t N) + Add {S1P, N} and {S2P, N}, and write the N least significant limbs + of the result to RP. Return carry, either 0 or 1. + + This is the lowest-level function for addition. It is the + preferred function for addition, since it is written in assembly + for most CPUs. For addition of a variable to itself (i.e., S1P + equals S2P) use 'mpn_lshift' with a count of 1 for optimal speed. + + -- Function: mp_limb_t mpn_add_1 (mp_limb_t *RP, const mp_limb_t *S1P, + mp_size_t N, mp_limb_t S2LIMB) + Add {S1P, N} and S2LIMB, and write the N least significant limbs of + the result to RP. Return carry, either 0 or 1. + + -- Function: mp_limb_t mpn_add (mp_limb_t *RP, const mp_limb_t *S1P, + mp_size_t S1N, const mp_limb_t *S2P, mp_size_t S2N) + Add {S1P, S1N} and {S2P, S2N}, and write the S1N least significant + limbs of the result to RP. Return carry, either 0 or 1. + + This function requires that S1N is greater than or equal to S2N. + + -- Function: mp_limb_t mpn_sub_n (mp_limb_t *RP, const mp_limb_t *S1P, + const mp_limb_t *S2P, mp_size_t N) + Subtract {S2P, N} from {S1P, N}, and write the N least significant + limbs of the result to RP. Return borrow, either 0 or 1. + + This is the lowest-level function for subtraction. It is the + preferred function for subtraction, since it is written in assembly + for most CPUs. + + -- Function: mp_limb_t mpn_sub_1 (mp_limb_t *RP, const mp_limb_t *S1P, + mp_size_t N, mp_limb_t S2LIMB) + Subtract S2LIMB from {S1P, N}, and write the N least significant + limbs of the result to RP. Return borrow, either 0 or 1. + + -- Function: mp_limb_t mpn_sub (mp_limb_t *RP, const mp_limb_t *S1P, + mp_size_t S1N, const mp_limb_t *S2P, mp_size_t S2N) + Subtract {S2P, S2N} from {S1P, S1N}, and write the S1N least + significant limbs of the result to RP. Return borrow, either 0 or + 1. + + This function requires that S1N is greater than or equal to S2N. + + -- Function: mp_limb_t mpn_neg (mp_limb_t *RP, const mp_limb_t *SP, + mp_size_t N) + Perform the negation of {SP, N}, and write the result to {RP, N}. + This is equivalent to calling 'mpn_sub_n' with an N-limb zero + minuend and passing {SP, N} as subtrahend. Return borrow, either 0 + or 1. + + -- Function: void mpn_mul_n (mp_limb_t *RP, const mp_limb_t *S1P, const + mp_limb_t *S2P, mp_size_t N) + Multiply {S1P, N} and {S2P, N}, and write the 2*N-limb result to + RP. + + The destination has to have space for 2*N limbs, even if the + product's most significant limb is zero. No overlap is permitted + between the destination and either source. + + If the two input operands are the same, use 'mpn_sqr'. + + -- Function: mp_limb_t mpn_mul (mp_limb_t *RP, const mp_limb_t *S1P, + mp_size_t S1N, const mp_limb_t *S2P, mp_size_t S2N) + Multiply {S1P, S1N} and {S2P, S2N}, and write the (S1N+S2N)-limb + result to RP. Return the most significant limb of the result. + + The destination has to have space for S1N + S2N limbs, even if the + product's most significant limb is zero. No overlap is permitted + between the destination and either source. + + This function requires that S1N is greater than or equal to S2N. + + -- Function: void mpn_sqr (mp_limb_t *RP, const mp_limb_t *S1P, + mp_size_t N) + Compute the square of {S1P, N} and write the 2*N-limb result to RP. + + The destination has to have space for 2N limbs, even if the + result's most significant limb is zero. No overlap is permitted + between the destination and the source. + + -- Function: mp_limb_t mpn_mul_1 (mp_limb_t *RP, const mp_limb_t *S1P, + mp_size_t N, mp_limb_t S2LIMB) + Multiply {S1P, N} by S2LIMB, and write the N least significant + limbs of the product to RP. Return the most significant limb of + the product. {S1P, N} and {RP, N} are allowed to overlap provided + RP <= S1P. + + This is a low-level function that is a building block for general + multiplication as well as other operations in GMP. It is written + in assembly for most CPUs. + + Don't call this function if S2LIMB is a power of 2; use + 'mpn_lshift' with a count equal to the logarithm of S2LIMB instead, + for optimal speed. + + -- Function: mp_limb_t mpn_addmul_1 (mp_limb_t *RP, const mp_limb_t + *S1P, mp_size_t N, mp_limb_t S2LIMB) + Multiply {S1P, N} and S2LIMB, and add the N least significant limbs + of the product to {RP, N} and write the result to RP. Return the + most significant limb of the product, plus carry-out from the + addition. {S1P, N} and {RP, N} are allowed to overlap provided RP + <= S1P. + + This is a low-level function that is a building block for general + multiplication as well as other operations in GMP. It is written + in assembly for most CPUs. + + -- Function: mp_limb_t mpn_submul_1 (mp_limb_t *RP, const mp_limb_t + *S1P, mp_size_t N, mp_limb_t S2LIMB) + Multiply {S1P, N} and S2LIMB, and subtract the N least significant + limbs of the product from {RP, N} and write the result to RP. + Return the most significant limb of the product, plus borrow-out + from the subtraction. {S1P, N} and {RP, N} are allowed to overlap + provided RP <= S1P. + + This is a low-level function that is a building block for general + multiplication and division as well as other operations in GMP. It + is written in assembly for most CPUs. + + -- Function: void mpn_tdiv_qr (mp_limb_t *QP, mp_limb_t *RP, mp_size_t + QXN, const mp_limb_t *NP, mp_size_t NN, const mp_limb_t *DP, + mp_size_t DN) + Divide {NP, NN} by {DP, DN} and put the quotient at {QP, NN-DN+1} + and the remainder at {RP, DN}. The quotient is rounded towards 0. + + No overlap is permitted between arguments, except that NP might + equal RP. The dividend size NN must be greater than or equal to + divisor size DN. The most significant limb of the divisor must be + non-zero. The QXN operand must be zero. + + -- Function: mp_limb_t mpn_divrem (mp_limb_t *R1P, mp_size_t QXN, + mp_limb_t *RS2P, mp_size_t RS2N, const mp_limb_t *S3P, + mp_size_t S3N) + [This function is obsolete. Please call 'mpn_tdiv_qr' instead for + best performance.] + + Divide {RS2P, RS2N} by {S3P, S3N}, and write the quotient at R1P, + with the exception of the most significant limb, which is returned. + The remainder replaces the dividend at RS2P; it will be S3N limbs + long (i.e., as many limbs as the divisor). + + In addition to an integer quotient, QXN fraction limbs are + developed, and stored after the integral limbs. For most usages, + QXN will be zero. + + It is required that RS2N is greater than or equal to S3N. It is + required that the most significant bit of the divisor is set. + + If the quotient is not needed, pass RS2P + S3N as R1P. Aside from + that special case, no overlap between arguments is permitted. + + Return the most significant limb of the quotient, either 0 or 1. + + The area at R1P needs to be RS2N - S3N + QXN limbs large. + + -- Function: mp_limb_t mpn_divrem_1 (mp_limb_t *R1P, mp_size_t QXN, + mp_limb_t *S2P, mp_size_t S2N, mp_limb_t S3LIMB) + -- Macro: mp_limb_t mpn_divmod_1 (mp_limb_t *R1P, mp_limb_t *S2P, + mp_size_t S2N, mp_limb_t S3LIMB) + Divide {S2P, S2N} by S3LIMB, and write the quotient at R1P. Return + the remainder. + + The integer quotient is written to {R1P+QXN, S2N} and in addition + QXN fraction limbs are developed and written to {R1P, QXN}. Either + or both S2N and QXN can be zero. For most usages, QXN will be + zero. + + 'mpn_divmod_1' exists for upward source compatibility and is simply + a macro calling 'mpn_divrem_1' with a QXN of 0. + + The areas at R1P and S2P have to be identical or completely + separate, not partially overlapping. + + -- Function: mp_limb_t mpn_divmod (mp_limb_t *R1P, mp_limb_t *RS2P, + mp_size_t RS2N, const mp_limb_t *S3P, mp_size_t S3N) + [This function is obsolete. Please call 'mpn_tdiv_qr' instead for + best performance.] + + -- Function: void mpn_divexact_1 (mp_limb_t * RP, const mp_limb_t * SP, + mp_size_t N, mp_limb_t D) + Divide {SP, N} by D, expecting it to divide exactly, and writing + the result to {RP, N}. If D doesn't divide exactly, the value + written to {RP, N} is undefined. The areas at RP and SP have to be + identical or completely separate, not partially overlapping. + + -- Macro: mp_limb_t mpn_divexact_by3 (mp_limb_t *RP, mp_limb_t *SP, + mp_size_t N) + -- Function: mp_limb_t mpn_divexact_by3c (mp_limb_t *RP, mp_limb_t *SP, + mp_size_t N, mp_limb_t CARRY) + Divide {SP, N} by 3, expecting it to divide exactly, and writing + the result to {RP, N}. If 3 divides exactly, the return value is + zero and the result is the quotient. If not, the return value is + non-zero and the result won't be anything useful. + + 'mpn_divexact_by3c' takes an initial carry parameter, which can be + the return value from a previous call, so a large calculation can + be done piece by piece from low to high. 'mpn_divexact_by3' is + simply a macro calling 'mpn_divexact_by3c' with a 0 carry + parameter. + + These routines use a multiply-by-inverse and will be faster than + 'mpn_divrem_1' on CPUs with fast multiplication but slow division. + + The source a, result q, size n, initial carry i, and return value c + satisfy c*b^n + a-i = 3*q, where b=2^GMP_NUMB_BITS. The return c is + always 0, 1 or 2, and the initial carry i must also be 0, 1 or 2 + (these are both borrows really). When c=0 clearly q=(a-i)/3. When + c!=0, the remainder (a-i) mod 3 is given by 3-c, because b == 1 mod + 3 (when 'mp_bits_per_limb' is even, which is always so currently). + + -- Function: mp_limb_t mpn_mod_1 (const mp_limb_t *S1P, mp_size_t S1N, + mp_limb_t S2LIMB) + Divide {S1P, S1N} by S2LIMB, and return the remainder. S1N can be + zero. + + -- Function: mp_limb_t mpn_lshift (mp_limb_t *RP, const mp_limb_t *SP, + mp_size_t N, unsigned int COUNT) + Shift {SP, N} left by COUNT bits, and write the result to {RP, N}. + The bits shifted out at the left are returned in the least + significant COUNT bits of the return value (the rest of the return + value is zero). + + COUNT must be in the range 1 to mp_bits_per_limb{}-1. The regions + {SP, N} and {RP, N} may overlap, provided RP >= SP. + + This function is written in assembly for most CPUs. + + -- Function: mp_limb_t mpn_rshift (mp_limb_t *RP, const mp_limb_t *SP, + mp_size_t N, unsigned int COUNT) + Shift {SP, N} right by COUNT bits, and write the result to {RP, N}. + The bits shifted out at the right are returned in the most + significant COUNT bits of the return value (the rest of the return + value is zero). + + COUNT must be in the range 1 to mp_bits_per_limb{}-1. The regions + {SP, N} and {RP, N} may overlap, provided RP <= SP. + + This function is written in assembly for most CPUs. + + -- Function: int mpn_cmp (const mp_limb_t *S1P, const mp_limb_t *S2P, + mp_size_t N) + Compare {S1P, N} and {S2P, N} and return a positive value if S1 > + S2, 0 if they are equal, or a negative value if S1 < S2. + + -- Function: int mpn_zero_p (const mp_limb_t *SP, mp_size_t N) + Test {SP, N} and return 1 if the operand is zero, 0 otherwise. + + -- Function: mp_size_t mpn_gcd (mp_limb_t *RP, mp_limb_t *XP, mp_size_t + XN, mp_limb_t *YP, mp_size_t YN) + Set {RP, RETVAL} to the greatest common divisor of {XP, XN} and + {YP, YN}. The result can be up to YN limbs, the return value is + the actual number produced. Both source operands are destroyed. + + It is required that XN >= YN > 0, the most significant limb of {YP, + YN} must be non-zero, and at least one of the two operands must be + odd. No overlap is permitted between {XP, XN} and {YP, YN}. + + -- Function: mp_limb_t mpn_gcd_1 (const mp_limb_t *XP, mp_size_t XN, + mp_limb_t YLIMB) + Return the greatest common divisor of {XP, XN} and YLIMB. Both + operands must be non-zero. + + -- Function: mp_size_t mpn_gcdext (mp_limb_t *GP, mp_limb_t *SP, + mp_size_t *SN, mp_limb_t *UP, mp_size_t UN, mp_limb_t *VP, + mp_size_t VN) + Let U be defined by {UP, UN} and let V be defined by {VP, VN}. + + Compute the greatest common divisor G of U and V. Compute a + cofactor S such that G = US + VT. The second cofactor T is not + computed but can easily be obtained from (G - U*S) / V (the + division will be exact). It is required that UN >= VN > 0, and the + most significant limb of {VP, VN} must be non-zero. + + S satisfies S = 1 or abs(S) < V / (2 G). S = 0 if and only if V + divides U (i.e., G = V). + + Store G at GP and let the return value define its limb count. + Store S at SP and let |*SN| define its limb count. S can be + negative; when this happens *SN will be negative. The area at GP + should have room for VN limbs and the area at SP should have room + for VN+1 limbs. + + Both source operands are destroyed. + + Compatibility notes: GMP 4.3.0 and 4.3.1 defined S less strictly. + Earlier as well as later GMP releases define S as described here. + GMP releases before GMP 4.3.0 required additional space for both + input and output areas. More precisely, the areas {UP, UN+1} and + {VP, VN+1} were destroyed (i.e. the operands plus an extra limb + past the end of each), and the areas pointed to by GP and SP should + each have room for UN+1 limbs. + + -- Function: mp_size_t mpn_sqrtrem (mp_limb_t *R1P, mp_limb_t *R2P, + const mp_limb_t *SP, mp_size_t N) + Compute the square root of {SP, N} and put the result at {R1P, + ceil(N/2)} and the remainder at {R2P, RETVAL}. R2P needs space for + N limbs, but the return value indicates how many are produced. + + The most significant limb of {SP, N} must be non-zero. The areas + {R1P, ceil(N/2)} and {SP, N} must be completely separate. The + areas {R2P, N} and {SP, N} must be either identical or completely + separate. + + If the remainder is not wanted then R2P can be 'NULL', and in this + case the return value is zero or non-zero according to whether the + remainder would have been zero or non-zero. + + A return value of zero indicates a perfect square. See also + 'mpn_perfect_square_p'. + + -- Function: size_t mpn_sizeinbase (const mp_limb_t *XP, mp_size_t N, + int BASE) + Return the size of {XP,N} measured in number of digits in the given + BASE. BASE can vary from 2 to 62. Requires N > 0 and XP[N-1] > 0. + The result will be either exact or 1 too big. If BASE is a power + of 2, the result is always exact. + + -- Function: mp_size_t mpn_get_str (unsigned char *STR, int BASE, + mp_limb_t *S1P, mp_size_t S1N) + Convert {S1P, S1N} to a raw unsigned char array at STR in base + BASE, and return the number of characters produced. There may be + leading zeros in the string. The string is not in ASCII; to + convert it to printable format, add the ASCII codes for '0' or 'A', + depending on the base and range. BASE can vary from 2 to 256. + + The most significant limb of the input {S1P, S1N} must be non-zero. + The input {S1P, S1N} is clobbered, except when BASE is a power of + 2, in which case it's unchanged. + + The area at STR has to have space for the largest possible number + represented by a S1N long limb array, plus one extra character. + + -- Function: mp_size_t mpn_set_str (mp_limb_t *RP, const unsigned char + *STR, size_t STRSIZE, int BASE) + Convert bytes {STR,STRSIZE} in the given BASE to limbs at RP. + + STR[0] is the most significant input byte and STR[STRSIZE-1] is the + least significant input byte. Each byte should be a value in the + range 0 to BASE-1, not an ASCII character. BASE can vary from 2 to + 256. + + The converted value is {RP,RN} where RN is the return value. If + the most significant input byte STR[0] is non-zero, then RP[RN-1] + will be non-zero, else RP[RN-1] and some number of subsequent limbs + may be zero. + + The area at RP has to have space for the largest possible number + with STRSIZE digits in the chosen base, plus one extra limb. + + The input must have at least one byte, and no overlap is permitted + between {STR,STRSIZE} and the result at RP. + + -- Function: mp_bitcnt_t mpn_scan0 (const mp_limb_t *S1P, mp_bitcnt_t + BIT) + Scan S1P from bit position BIT for the next clear bit. + + It is required that there be a clear bit within the area at S1P at + or beyond bit position BIT, so that the function has something to + return. + + -- Function: mp_bitcnt_t mpn_scan1 (const mp_limb_t *S1P, mp_bitcnt_t + BIT) + Scan S1P from bit position BIT for the next set bit. + + It is required that there be a set bit within the area at S1P at or + beyond bit position BIT, so that the function has something to + return. + + -- Function: void mpn_random (mp_limb_t *R1P, mp_size_t R1N) + -- Function: void mpn_random2 (mp_limb_t *R1P, mp_size_t R1N) + Generate a random number of length R1N and store it at R1P. The + most significant limb is always non-zero. 'mpn_random' generates + uniformly distributed limb data, 'mpn_random2' generates long + strings of zeros and ones in the binary representation. + + 'mpn_random2' is intended for testing the correctness of the 'mpn' + routines. + + -- Function: mp_bitcnt_t mpn_popcount (const mp_limb_t *S1P, mp_size_t + N) + Count the number of set bits in {S1P, N}. + + -- Function: mp_bitcnt_t mpn_hamdist (const mp_limb_t *S1P, const + mp_limb_t *S2P, mp_size_t N) + Compute the hamming distance between {S1P, N} and {S2P, N}, which + is the number of bit positions where the two operands have + different bit values. + + -- Function: int mpn_perfect_square_p (const mp_limb_t *S1P, mp_size_t + N) + Return non-zero iff {S1P, N} is a perfect square. The most + significant limb of the input {S1P, N} must be non-zero. + + -- Function: void mpn_and_n (mp_limb_t *RP, const mp_limb_t *S1P, const + mp_limb_t *S2P, mp_size_t N) + Perform the bitwise logical and of {S1P, N} and {S2P, N}, and write + the result to {RP, N}. + + -- Function: void mpn_ior_n (mp_limb_t *RP, const mp_limb_t *S1P, const + mp_limb_t *S2P, mp_size_t N) + Perform the bitwise logical inclusive or of {S1P, N} and {S2P, N}, + and write the result to {RP, N}. + + -- Function: void mpn_xor_n (mp_limb_t *RP, const mp_limb_t *S1P, const + mp_limb_t *S2P, mp_size_t N) + Perform the bitwise logical exclusive or of {S1P, N} and {S2P, N}, + and write the result to {RP, N}. + + -- Function: void mpn_andn_n (mp_limb_t *RP, const mp_limb_t *S1P, + const mp_limb_t *S2P, mp_size_t N) + Perform the bitwise logical and of {S1P, N} and the bitwise + complement of {S2P, N}, and write the result to {RP, N}. + + -- Function: void mpn_iorn_n (mp_limb_t *RP, const mp_limb_t *S1P, + const mp_limb_t *S2P, mp_size_t N) + Perform the bitwise logical inclusive or of {S1P, N} and the + bitwise complement of {S2P, N}, and write the result to {RP, N}. + + -- Function: void mpn_nand_n (mp_limb_t *RP, const mp_limb_t *S1P, + const mp_limb_t *S2P, mp_size_t N) + Perform the bitwise logical and of {S1P, N} and {S2P, N}, and write + the bitwise complement of the result to {RP, N}. + + -- Function: void mpn_nior_n (mp_limb_t *RP, const mp_limb_t *S1P, + const mp_limb_t *S2P, mp_size_t N) + Perform the bitwise logical inclusive or of {S1P, N} and {S2P, N}, + and write the bitwise complement of the result to {RP, N}. + + -- Function: void mpn_xnor_n (mp_limb_t *RP, const mp_limb_t *S1P, + const mp_limb_t *S2P, mp_size_t N) + Perform the bitwise logical exclusive or of {S1P, N} and {S2P, N}, + and write the bitwise complement of the result to {RP, N}. + + -- Function: void mpn_com (mp_limb_t *RP, const mp_limb_t *SP, + mp_size_t N) + Perform the bitwise complement of {SP, N}, and write the result to + {RP, N}. + + -- Function: void mpn_copyi (mp_limb_t *RP, const mp_limb_t *S1P, + mp_size_t N) + Copy from {S1P, N} to {RP, N}, increasingly. + + -- Function: void mpn_copyd (mp_limb_t *RP, const mp_limb_t *S1P, + mp_size_t N) + Copy from {S1P, N} to {RP, N}, decreasingly. + + -- Function: void mpn_zero (mp_limb_t *RP, mp_size_t N) + Zero {RP, N}. + + +8.1 Low-level functions for cryptography +======================================== + +The functions prefixed with 'mpn_sec_' and 'mpn_cnd_' are designed to +perform the exact same low-level operations and have the same cache +access patterns for any two same-size arguments, assuming that function +arguments are placed at the same position and that the machine state is +identical upon function entry. These functions are intended for +cryptographic purposes, where resilience to side-channel attacks is +desired. + + These functions are less efficient than their "leaky" counterparts; +their performance for operands of the sizes typically used for +cryptographic applications is between 15% and 100% worse. For larger +operands, these functions might be inadequate, since they rely on +asymptotically elementary algorithms. + + These functions do not make any explicit allocations. Those of these +functions that need scratch space accept a scratch space operand. This +convention allows callers to keep sensitive data in designated memory +areas. Note however that compilers may choose to spill scalar values +used within these functions to their stack frame and that such scalars +may contain sensitive data. + + In addition to these specially crafted functions, the following 'mpn' +functions are naturally side-channel resistant: 'mpn_add_n', +'mpn_sub_n', 'mpn_lshift', 'mpn_rshift', 'mpn_zero', 'mpn_copyi', +'mpn_copyd', 'mpn_com', and the logical function ('mpn_and_n', etc). + + There are some exceptions from the side-channel resilience: (1) Some +assembly implementations of 'mpn_lshift' identify shift-by-one as a +special case. This is a problem iff the shift count is a function of +sensitive data. (2) Alpha ev6 and Pentium4 using 64-bit limbs have +leaky 'mpn_add_n' and 'mpn_sub_n'. (3) Alpha ev6 has a leaky +'mpn_mul_1' which also makes 'mpn_sec_mul' on those systems unsafe. + + -- Function: mp_limb_t mpn_cnd_add_n (mp_limb_t CND, mp_limb_t *RP, + const mp_limb_t *S1P, const mp_limb_t *S2P, mp_size_t N) + -- Function: mp_limb_t mpn_cnd_sub_n (mp_limb_t CND, mp_limb_t *RP, + const mp_limb_t *S1P, const mp_limb_t *S2P, mp_size_t N) + These functions do conditional addition and subtraction. If CND is + non-zero, they produce the same result as a regular 'mpn_add_n' or + 'mpn_sub_n', and if CND is zero, they copy {S1P,N} to the result + area and return zero. The functions are designed to have timing + and memory access patterns depending only on size and location of + the data areas, but independent of the condition CND. Like for + 'mpn_add_n' and 'mpn_sub_n', on most machines, the timing will also + be independent of the actual limb values. + + -- Function: mp_limb_t mpn_sec_add_1 (mp_limb_t *RP, const mp_limb_t + *AP, mp_size_t N, mp_limb_t B, mp_limb_t *TP) + -- Function: mp_limb_t mpn_sec_sub_1 (mp_limb_t *RP, const mp_limb_t + *AP, mp_size_t N, mp_limb_t B, mp_limb_t *TP) + Set R to A + B or A - B, respectively, where R = {RP,N}, A = + {AP,N}, and B is a single limb. Returns carry. + + These functions take O(N) time, unlike the leaky functions + 'mpn_add_1' which are O(1) on average. They require scratch space + of 'mpn_sec_add_1_itch(N)' and 'mpn_sec_sub_1_itch(N)' limbs, + respectively, to be passed in the TP parameter. The scratch space + requirements are guaranteed to be at most N limbs, and increase + monotonously in the operand size. + + -- Function: void mpn_cnd_swap (mp_limb_t CND, volatile mp_limb_t *AP, + volatile mp_limb_t *BP, mp_size_t N) + If CND is non-zero, swaps the contents of the areas {AP,N} and + {BP,N}. Otherwise, the areas are left unmodified. Implemented + using logical operations on the limbs, with the same memory + accesses independent of the value of CND. + + -- Function: void mpn_sec_mul (mp_limb_t *RP, const mp_limb_t *AP, + mp_size_t AN, const mp_limb_t *BP, mp_size_t BN, mp_limb_t + *TP) + -- Function: mp_size_t mpn_sec_mul_itch (mp_size_t AN, mp_size_t BN) + Set R to A * B, where A = {AP,AN}, B = {BP,BN}, and R = {RP,AN+BN}. + + It is required that AN >= BN > 0. + + No overlapping between R and the input operands is allowed. For A + = B, use 'mpn_sec_sqr' for optimal performance. + + This function requires scratch space of 'mpn_sec_mul_itch(AN, BN)' + limbs to be passed in the TP parameter. The scratch space + requirements are guaranteed to increase monotonously in the operand + sizes. + + -- Function: void mpn_sec_sqr (mp_limb_t *RP, const mp_limb_t *AP, + mp_size_t AN, mp_limb_t *TP) + -- Function: mp_size_t mpn_sec_sqr_itch (mp_size_t AN) + Set R to A^2, where A = {AP,AN}, and R = {RP,2AN}. + + It is required that AN > 0. + + No overlapping between R and the input operands is allowed. + + This function requires scratch space of 'mpn_sec_sqr_itch(AN)' + limbs to be passed in the TP parameter. The scratch space + requirements are guaranteed to increase monotonously in the operand + size. + + -- Function: void mpn_sec_powm (mp_limb_t *RP, const mp_limb_t *BP, + mp_size_t BN, const mp_limb_t *EP, mp_bitcnt_t ENB, const + mp_limb_t *MP, mp_size_t N, mp_limb_t *TP) + -- Function: mp_size_t mpn_sec_powm_itch (mp_size_t BN, mp_bitcnt_t + ENB, size_t N) + Set R to (B raised to E) modulo M, where R = {RP,N}, M = {MP,N}, + and E = {EP,ceil(ENB / 'GMP\_NUMB\_BITS')}. + + It is required that B > 0, that M > 0 is odd, and that E < 2^ENB, + with ENB > 0. + + No overlapping between R and the input operands is allowed. + + This function requires scratch space of 'mpn_sec_powm_itch(BN, ENB, + N)' limbs to be passed in the TP parameter. The scratch space + requirements are guaranteed to increase monotonously in the operand + sizes. + + -- Function: void mpn_sec_tabselect (mp_limb_t *RP, const mp_limb_t + *TAB, mp_size_t N, mp_size_t NENTS, mp_size_t WHICH) + Select entry WHICH from table TAB, which has NENTS entries, each N + limbs. Store the selected entry at RP. + + This function reads the entire table to avoid side-channel + information leaks. + + -- Function: mp_limb_t mpn_sec_div_qr (mp_limb_t *QP, mp_limb_t *NP, + mp_size_t NN, const mp_limb_t *DP, mp_size_t DN, mp_limb_t + *TP) + -- Function: mp_size_t mpn_sec_div_qr_itch (mp_size_t NN, mp_size_t DN) + + Set Q to the truncated quotient N / D and R to N modulo D, where N + = {NP,NN}, D = {DP,DN}, Q's most significant limb is the function + return value and the remaining limbs are {QP,NN-DN}, and R = + {NP,DN}. + + It is required that NN >= DN >= 1, and that DP[DN-1] != 0. This + does not imply that N >= D since N might be zero-padded. + + Note the overlapping between N and R. No other operand overlapping + is allowed. The entire space occupied by N is overwritten. + + This function requires scratch space of 'mpn_sec_div_qr_itch(NN, + DN)' limbs to be passed in the TP parameter. + + -- Function: void mpn_sec_div_r (mp_limb_t *NP, mp_size_t NN, const + mp_limb_t *DP, mp_size_t DN, mp_limb_t *TP) + -- Function: mp_size_t mpn_sec_div_r_itch (mp_size_t NN, mp_size_t DN) + + Set R to N modulo D, where N = {NP,NN}, D = {DP,DN}, and R = + {NP,DN}. + + It is required that NN >= DN >= 1, and that DP[DN-1] != 0. This + does not imply that N >= D since N might be zero-padded. + + Note the overlapping between N and R. No other operand overlapping + is allowed. The entire space occupied by N is overwritten. + + This function requires scratch space of 'mpn_sec_div_r_itch(NN, + DN)' limbs to be passed in the TP parameter. + + -- Function: int mpn_sec_invert (mp_limb_t *RP, mp_limb_t *AP, const + mp_limb_t *MP, mp_size_t N, mp_bitcnt_t NBCNT, mp_limb_t *TP) + -- Function: mp_size_t mpn_sec_invert_itch (mp_size_t N) + Set R to the inverse of A modulo M, where R = {RP,N}, A = {AP,N}, + and M = {MP,N}. *This function's interface is preliminary.* + + If an inverse exists, return 1, otherwise return 0 and leave R + undefined. In either case, the input A is destroyed. + + It is required that M is odd, and that NBCNT >= ceil(\log(A+1)) + + ceil(\log(M+1)). A safe choice is NBCNT = 2 * N * GMP_NUMB_BITS, + but a smaller value might improve performance if M or A are known + to have leading zero bits. + + This function requires scratch space of 'mpn_sec_invert_itch(N)' + limbs to be passed in the TP parameter. + + +8.2 Nails +========= + +*Everything in this section is highly experimental and may disappear or +be subject to incompatible changes in a future version of GMP.* + + Nails are an experimental feature whereby a few bits are left unused +at the top of each 'mp_limb_t'. This can significantly improve carry +handling on some processors. + + All the 'mpn' functions accepting limb data will expect the nail bits +to be zero on entry, and will return data with the nails similarly all +zero. This applies both to limb vectors and to single limb arguments. + + Nails can be enabled by configuring with '--enable-nails'. By +default the number of bits will be chosen according to what suits the +host processor, but a particular number can be selected with +'--enable-nails=N'. + + At the mpn level, a nail build is neither source nor binary +compatible with a non-nail build, strictly speaking. But programs +acting on limbs only through the mpn functions are likely to work +equally well with either build, and judicious use of the definitions +below should make any program compatible with either build, at the +source level. + + For the higher level routines, meaning 'mpz' etc, a nail build should +be fully source and binary compatible with a non-nail build. + + -- Macro: GMP_NAIL_BITS + -- Macro: GMP_NUMB_BITS + -- Macro: GMP_LIMB_BITS + 'GMP_NAIL_BITS' is the number of nail bits, or 0 when nails are not + in use. 'GMP_NUMB_BITS' is the number of data bits in a limb. + 'GMP_LIMB_BITS' is the total number of bits in an 'mp_limb_t'. In + all cases + + GMP_LIMB_BITS == GMP_NAIL_BITS + GMP_NUMB_BITS + + -- Macro: GMP_NAIL_MASK + -- Macro: GMP_NUMB_MASK + Bit masks for the nail and number parts of a limb. 'GMP_NAIL_MASK' + is 0 when nails are not in use. + + 'GMP_NAIL_MASK' is not often needed, since the nail part can be + obtained with 'x >> GMP_NUMB_BITS', and that means one less large + constant, which can help various RISC chips. + + -- Macro: GMP_NUMB_MAX + The maximum value that can be stored in the number part of a limb. + This is the same as 'GMP_NUMB_MASK', but can be used for clarity + when doing comparisons rather than bit-wise operations. + + The term "nails" comes from finger or toe nails, which are at the +ends of a limb (arm or leg). "numb" is short for number, but is also +how the developers felt after trying for a long time to come up with +sensible names for these things. + + In the future (the distant future most likely) a non-zero nail might +be permitted, giving non-unique representations for numbers in a limb +vector. This would help vector processors since carries would only ever +need to propagate one or two limbs. + + +File: gmp.info, Node: Random Number Functions, Next: Formatted Output, Prev: Low-level Functions, Up: Top + +9 Random Number Functions +************************* + +Sequences of pseudo-random numbers in GMP are generated using a variable +of type 'gmp_randstate_t', which holds an algorithm selection and a +current state. Such a variable must be initialized by a call to one of +the 'gmp_randinit' functions, and can be seeded with one of the +'gmp_randseed' functions. + + The functions actually generating random numbers are described in +*note Integer Random Numbers::, and *note Miscellaneous Float +Functions::. + + The older style random number functions don't accept a +'gmp_randstate_t' parameter but instead share a global variable of that +type. They use a default algorithm and are currently not seeded (though +perhaps that will change in the future). The new functions accepting a +'gmp_randstate_t' are recommended for applications that care about +randomness. + +* Menu: + +* Random State Initialization:: +* Random State Seeding:: +* Random State Miscellaneous:: + + +File: gmp.info, Node: Random State Initialization, Next: Random State Seeding, Prev: Random Number Functions, Up: Random Number Functions + +9.1 Random State Initialization +=============================== + + -- Function: void gmp_randinit_default (gmp_randstate_t STATE) + Initialize STATE with a default algorithm. This will be a + compromise between speed and randomness, and is recommended for + applications with no special requirements. Currently this is + 'gmp_randinit_mt'. + + -- Function: void gmp_randinit_mt (gmp_randstate_t STATE) + Initialize STATE for a Mersenne Twister algorithm. This algorithm + is fast and has good randomness properties. + + -- Function: void gmp_randinit_lc_2exp (gmp_randstate_t STATE, const + mpz_t A, unsigned long C, mp_bitcnt_t M2EXP) + Initialize STATE with a linear congruential algorithm X = (A*X + C) + mod 2^M2EXP. + + The low bits of X in this algorithm are not very random. The least + significant bit will have a period no more than 2, and the second + bit no more than 4, etc. For this reason only the high half of + each X is actually used. + + When a random number of more than M2EXP/2 bits is to be generated, + multiple iterations of the recurrence are used and the results + concatenated. + + -- Function: int gmp_randinit_lc_2exp_size (gmp_randstate_t STATE, + mp_bitcnt_t SIZE) + Initialize STATE for a linear congruential algorithm as per + 'gmp_randinit_lc_2exp'. A, C and M2EXP are selected from a table, + chosen so that SIZE bits (or more) of each X will be used, i.e. + M2EXP/2 >= SIZE. + + If successful the return value is non-zero. If SIZE is bigger than + the table data provides then the return value is zero. The maximum + SIZE currently supported is 128. + + -- Function: void gmp_randinit_set (gmp_randstate_t ROP, + gmp_randstate_t OP) + Initialize ROP with a copy of the algorithm and state from OP. + + -- Function: void gmp_randinit (gmp_randstate_t STATE, + gmp_randalg_t ALG, ...) + *This function is obsolete.* + + Initialize STATE with an algorithm selected by ALG. The only + choice is 'GMP_RAND_ALG_LC', which is 'gmp_randinit_lc_2exp_size' + described above. A third parameter of type 'unsigned long' is + required, this is the SIZE for that function. + 'GMP_RAND_ALG_DEFAULT' and 0 are the same as 'GMP_RAND_ALG_LC'. + + 'gmp_randinit' sets bits in the global variable 'gmp_errno' to + indicate an error. 'GMP_ERROR_UNSUPPORTED_ARGUMENT' if ALG is + unsupported, or 'GMP_ERROR_INVALID_ARGUMENT' if the SIZE parameter + is too big. It may be noted this error reporting is not thread + safe (a good reason to use 'gmp_randinit_lc_2exp_size' instead). + + -- Function: void gmp_randclear (gmp_randstate_t STATE) + Free all memory occupied by STATE. + + +File: gmp.info, Node: Random State Seeding, Next: Random State Miscellaneous, Prev: Random State Initialization, Up: Random Number Functions + +9.2 Random State Seeding +======================== + + -- Function: void gmp_randseed (gmp_randstate_t STATE, const mpz_t + SEED) + -- Function: void gmp_randseed_ui (gmp_randstate_t STATE, + unsigned long int SEED) + Set an initial seed value into STATE. + + The size of a seed determines how many different sequences of + random numbers it's possible to generate. The "quality" of the + seed is the randomness of a given seed compared to the previous + seed used, and this affects the randomness of separate number + sequences. The method for choosing a seed is critical if the + generated numbers are to be used for important applications, such + as generating cryptographic keys. + + Traditionally the system time has been used to seed, but care needs + to be taken with this. If an application seeds often and the + resolution of the system clock is low, then the same sequence of + numbers might be repeated. Also, the system time is quite easy to + guess, so if unpredictability is required then it should definitely + not be the only source for the seed value. On some systems there's + a special device '/dev/random' which provides random data better + suited for use as a seed. + + +File: gmp.info, Node: Random State Miscellaneous, Prev: Random State Seeding, Up: Random Number Functions + +9.3 Random State Miscellaneous +============================== + + -- Function: unsigned long gmp_urandomb_ui (gmp_randstate_t STATE, + unsigned long N) + Return a uniformly distributed random number of N bits, i.e. in the + range 0 to 2^N-1 inclusive. N must be less than or equal to the + number of bits in an 'unsigned long'. + + -- Function: unsigned long gmp_urandomm_ui (gmp_randstate_t STATE, + unsigned long N) + Return a uniformly distributed random number in the range 0 to N-1, + inclusive. + + +File: gmp.info, Node: Formatted Output, Next: Formatted Input, Prev: Random Number Functions, Up: Top + +10 Formatted Output +******************* + +* Menu: + +* Formatted Output Strings:: +* Formatted Output Functions:: +* C++ Formatted Output:: + + +File: gmp.info, Node: Formatted Output Strings, Next: Formatted Output Functions, Prev: Formatted Output, Up: Formatted Output + +10.1 Format Strings +=================== + +'gmp_printf' and friends accept format strings similar to the standard C +'printf' (*note Formatted Output: (libc)Formatted Output.). A format +specification is of the form + + % [flags] [width] [.[precision]] [type] conv + + GMP adds types 'Z', 'Q' and 'F' for 'mpz_t', 'mpq_t' and 'mpf_t' +respectively, 'M' for 'mp_limb_t', and 'N' for an 'mp_limb_t' array. +'Z', 'Q', 'M' and 'N' behave like integers. 'Q' will print a '/' and a +denominator, if needed. 'F' behaves like a float. For example, + + mpz_t z; + gmp_printf ("%s is an mpz %Zd\n", "here", z); + + mpq_t q; + gmp_printf ("a hex rational: %#40Qx\n", q); + + mpf_t f; + int n; + gmp_printf ("fixed point mpf %.*Ff with %d digits\n", n, f, n); + + mp_limb_t l; + gmp_printf ("limb %Mu\n", l); + + const mp_limb_t *ptr; + mp_size_t size; + gmp_printf ("limb array %Nx\n", ptr, size); + + For 'N' the limbs are expected least significant first, as per the +'mpn' functions (*note Low-level Functions::). A negative size can be +given to print the value as a negative. + + All the standard C 'printf' types behave the same as the C library +'printf', and can be freely intermixed with the GMP extensions. In the +current implementation the standard parts of the format string are +simply handed to 'printf' and only the GMP extensions handled directly. + + The flags accepted are as follows. GLIBC style ' is only for the +standard C types (not the GMP types), and only if the C library supports +it. + + 0 pad with zeros (rather than spaces) + # show the base with '0x', '0X' or '0' + + always show a sign + (space) show a space or a '-' sign + ' group digits, GLIBC style (not GMP + types) + + The optional width and precision can be given as a number within the +format string, or as a '*' to take an extra parameter of type 'int', the +same as the standard 'printf'. + + The standard types accepted are as follows. 'h' and 'l' are +portable, the rest will depend on the compiler (or include files) for +the type and the C library for the output. + + h short + hh char + j intmax_t or uintmax_t + l long or wchar_t + ll long long + L long double + q quad_t or u_quad_t + t ptrdiff_t + z size_t + +The GMP types are + + F mpf_t, float conversions + Q mpq_t, integer conversions + M mp_limb_t, integer conversions + N mp_limb_t array, integer conversions + Z mpz_t, integer conversions + + The conversions accepted are as follows. 'a' and 'A' are always +supported for 'mpf_t' but depend on the C library for standard C float +types. 'm' and 'p' depend on the C library. + + a A hex floats, C99 style + c character + d decimal integer + e E scientific format float + f fixed point float + i same as d + g G fixed or scientific float + m 'strerror' string, GLIBC style + n store characters written so far + o octal integer + p pointer + s string + u unsigned integer + x X hex integer + + 'o', 'x' and 'X' are unsigned for the standard C types, but for types +'Z', 'Q' and 'N' they are signed. 'u' is not meaningful for 'Z', 'Q' +and 'N'. + + 'M' is a proxy for the C library 'l' or 'L', according to the size of +'mp_limb_t'. Unsigned conversions will be usual, but a signed +conversion can be used and will interpret the value as a two's +complement negative. + + 'n' can be used with any type, even the GMP types. + + Other types or conversions that might be accepted by the C library +'printf' cannot be used through 'gmp_printf', this includes for instance +extensions registered with GLIBC 'register_printf_function'. Also +currently there's no support for POSIX '$' style numbered arguments +(perhaps this will be added in the future). + + The precision field has its usual meaning for integer 'Z' and float +'F' types, but is currently undefined for 'Q' and should not be used +with that. + + 'mpf_t' conversions only ever generate as many digits as can be +accurately represented by the operand, the same as 'mpf_get_str' does. +Zeros will be used if necessary to pad to the requested precision. This +happens even for an 'f' conversion of an 'mpf_t' which is an integer, +for instance 2^1024 in an 'mpf_t' of 128 bits precision will only +produce about 40 digits, then pad with zeros to the decimal point. An +empty precision field like '%.Fe' or '%.Ff' can be used to specifically +request just the significant digits. Without any dot and thus no +precision field, a precision value of 6 will be used. Note that these +rules mean that '%Ff', '%.Ff', and '%.0Ff' will all be different. + + The decimal point character (or string) is taken from the current +locale settings on systems which provide 'localeconv' (*note Locales and +Internationalization: (libc)Locales.). The C library will normally do +the same for standard float output. + + The format string is only interpreted as plain 'char's, multibyte +characters are not recognised. Perhaps this will change in the future. + + +File: gmp.info, Node: Formatted Output Functions, Next: C++ Formatted Output, Prev: Formatted Output Strings, Up: Formatted Output + +10.2 Functions +============== + +Each of the following functions is similar to the corresponding C +library function. The basic 'printf' forms take a variable argument +list. The 'vprintf' forms take an argument pointer, see *note Variadic +Functions: (libc)Variadic Functions, or 'man 3 va_start'. + + It should be emphasised that if a format string is invalid, or the +arguments don't match what the format specifies, then the behaviour of +any of these functions will be unpredictable. GCC format string +checking is not available, since it doesn't recognise the GMP +extensions. + + The file based functions 'gmp_printf' and 'gmp_fprintf' will return +-1 to indicate a write error. Output is not "atomic", so partial output +may be produced if a write error occurs. All the functions can return +-1 if the C library 'printf' variant in use returns -1, but this +shouldn't normally occur. + + -- Function: int gmp_printf (const char *FMT, ...) + -- Function: int gmp_vprintf (const char *FMT, va_list AP) + Print to the standard output 'stdout'. Return the number of + characters written, or -1 if an error occurred. + + -- Function: int gmp_fprintf (FILE *FP, const char *FMT, ...) + -- Function: int gmp_vfprintf (FILE *FP, const char *FMT, va_list AP) + Print to the stream FP. Return the number of characters written, + or -1 if an error occurred. + + -- Function: int gmp_sprintf (char *BUF, const char *FMT, ...) + -- Function: int gmp_vsprintf (char *BUF, const char *FMT, va_list AP) + Form a null-terminated string in BUF. Return the number of + characters written, excluding the terminating null. + + No overlap is permitted between the space at BUF and the string + FMT. + + These functions are not recommended, since there's no protection + against exceeding the space available at BUF. + + -- Function: int gmp_snprintf (char *BUF, size_t SIZE, const char *FMT, + ...) + -- Function: int gmp_vsnprintf (char *BUF, size_t SIZE, const char + *FMT, va_list AP) + Form a null-terminated string in BUF. No more than SIZE bytes will + be written. To get the full output, SIZE must be enough for the + string and null-terminator. + + The return value is the total number of characters which ought to + have been produced, excluding the terminating null. If RETVAL >= + SIZE then the actual output has been truncated to the first SIZE-1 + characters, and a null appended. + + No overlap is permitted between the region {BUF,SIZE} and the FMT + string. + + Notice the return value is in ISO C99 'snprintf' style. This is so + even if the C library 'vsnprintf' is the older GLIBC 2.0.x style. + + -- Function: int gmp_asprintf (char **PP, const char *FMT, ...) + -- Function: int gmp_vasprintf (char **PP, const char *FMT, va_list AP) + Form a null-terminated string in a block of memory obtained from + the current memory allocation function (*note Custom Allocation::). + The block will be the size of the string and null-terminator. The + address of the block is stored to *PP. The return value is the + number of characters produced, excluding the null-terminator. + + Unlike the C library 'asprintf', 'gmp_asprintf' doesn't return -1 + if there's no more memory available, it lets the current allocation + function handle that. + + -- Function: int gmp_obstack_printf (struct obstack *OB, const char + *FMT, ...) + -- Function: int gmp_obstack_vprintf (struct obstack *OB, const char + *FMT, va_list AP) + Append to the current object in OB. The return value is the number + of characters written. A null-terminator is not written. + + FMT cannot be within the current object in OB, since that object + might move as it grows. + + These functions are available only when the C library provides the + obstack feature, which probably means only on GNU systems, see + *note Obstacks: (libc)Obstacks. + + +File: gmp.info, Node: C++ Formatted Output, Prev: Formatted Output Functions, Up: Formatted Output + +10.3 C++ Formatted Output +========================= + +The following functions are provided in 'libgmpxx' (*note Headers and +Libraries::), which is built if C++ support is enabled (*note Build +Options::). Prototypes are available from ''. + + -- Function: ostream& operator<< (ostream& STREAM, const mpz_t OP) + Print OP to STREAM, using its 'ios' formatting settings. + 'ios::width' is reset to 0 after output, the same as the standard + 'ostream operator<<' routines do. + + In hex or octal, OP is printed as a signed number, the same as for + decimal. This is unlike the standard 'operator<<' routines on + 'int' etc, which instead give two's complement. + + -- Function: ostream& operator<< (ostream& STREAM, const mpq_t OP) + Print OP to STREAM, using its 'ios' formatting settings. + 'ios::width' is reset to 0 after output, the same as the standard + 'ostream operator<<' routines do. + + Output will be a fraction like '5/9', or if the denominator is 1 + then just a plain integer like '123'. + + In hex or octal, OP is printed as a signed value, the same as for + decimal. If 'ios::showbase' is set then a base indicator is shown + on both the numerator and denominator (if the denominator is + required). + + -- Function: ostream& operator<< (ostream& STREAM, const mpf_t OP) + Print OP to STREAM, using its 'ios' formatting settings. + 'ios::width' is reset to 0 after output, the same as the standard + 'ostream operator<<' routines do. + + The decimal point follows the standard library float 'operator<<', + which on recent systems means the 'std::locale' imbued on STREAM. + + Hex and octal are supported, unlike the standard 'operator<<' on + 'double'. The mantissa will be in hex or octal, the exponent will + be in decimal. For hex the exponent delimiter is an '@'. This is + as per 'mpf_out_str'. + + 'ios::showbase' is supported, and will put a base on the mantissa, + for example hex '0x1.8' or '0x0.8', or octal '01.4' or '00.4'. + This last form is slightly strange, but at least differentiates + itself from decimal. + + These operators mean that GMP types can be printed in the usual C++ +way, for example, + + mpz_t z; + int n; + ... + cout << "iteration " << n << " value " << z << "\n"; + + But note that 'ostream' output (and 'istream' input, *note C++ +Formatted Input::) is the only overloading available for the GMP types +and that for instance using '+' with an 'mpz_t' will have unpredictable +results. For classes with overloading, see *note C++ Class Interface::. + + +File: gmp.info, Node: Formatted Input, Next: C++ Class Interface, Prev: Formatted Output, Up: Top + +11 Formatted Input +****************** + +* Menu: + +* Formatted Input Strings:: +* Formatted Input Functions:: +* C++ Formatted Input:: + + +File: gmp.info, Node: Formatted Input Strings, Next: Formatted Input Functions, Prev: Formatted Input, Up: Formatted Input + +11.1 Formatted Input Strings +============================ + +'gmp_scanf' and friends accept format strings similar to the standard C +'scanf' (*note Formatted Input: (libc)Formatted Input.). A format +specification is of the form + + % [flags] [width] [type] conv + + GMP adds types 'Z', 'Q' and 'F' for 'mpz_t', 'mpq_t' and 'mpf_t' +respectively. 'Z' and 'Q' behave like integers. 'Q' will read a '/' +and a denominator, if present. 'F' behaves like a float. + + GMP variables don't require an '&' when passed to 'gmp_scanf', since +they're already "call-by-reference". For example, + + /* to read say "a(5) = 1234" */ + int n; + mpz_t z; + gmp_scanf ("a(%d) = %Zd\n", &n, z); + + mpq_t q1, q2; + gmp_sscanf ("0377 + 0x10/0x11", "%Qi + %Qi", q1, q2); + + /* to read say "topleft (1.55,-2.66)" */ + mpf_t x, y; + char buf[32]; + gmp_scanf ("%31s (%Ff,%Ff)", buf, x, y); + + All the standard C 'scanf' types behave the same as in the C library +'scanf', and can be freely intermixed with the GMP extensions. In the +current implementation the standard parts of the format string are +simply handed to 'scanf' and only the GMP extensions handled directly. + + The flags accepted are as follows. 'a' and ''' will depend on +support from the C library, and ''' cannot be used with GMP types. + + * read but don't store + a allocate a buffer (string conversions) + ' grouped digits, GLIBC style (not GMP + types) + + The standard types accepted are as follows. 'h' and 'l' are +portable, the rest will depend on the compiler (or include files) for +the type and the C library for the input. + + h short + hh char + j intmax_t or uintmax_t + l long int, double or wchar_t + ll long long + L long double + q quad_t or u_quad_t + t ptrdiff_t + z size_t + +The GMP types are + + F mpf_t, float conversions + Q mpq_t, integer conversions + Z mpz_t, integer conversions + + The conversions accepted are as follows. 'p' and '[' will depend on +support from the C library, the rest are standard. + + c character or characters + d decimal integer + e E f g float + G + i integer with base indicator + n characters read so far + o octal integer + p pointer + s string of non-whitespace characters + u decimal integer + x X hex integer + [ string of characters in a set + + 'e', 'E', 'f', 'g' and 'G' are identical, they all read either fixed +point or scientific format, and either upper or lower case 'e' for the +exponent in scientific format. + + C99 style hex float format ('printf %a', *note Formatted Output +Strings::) is always accepted for 'mpf_t', but for the standard float +types it will depend on the C library. + + 'x' and 'X' are identical, both accept both upper and lower case +hexadecimal. + + 'o', 'u', 'x' and 'X' all read positive or negative values. For the +standard C types these are described as "unsigned" conversions, but that +merely affects certain overflow handling, negatives are still allowed +(per 'strtoul', *note Parsing of Integers: (libc)Parsing of Integers.). +For GMP types there are no overflows, so 'd' and 'u' are identical. + + 'Q' type reads the numerator and (optional) denominator as given. If +the value might not be in canonical form then 'mpq_canonicalize' must be +called before using it in any calculations (*note Rational Number +Functions::). + + 'Qi' will read a base specification separately for the numerator and +denominator. For example '0x10/11' would be 16/11, whereas '0x10/0x11' +would be 16/17. + + 'n' can be used with any of the types above, even the GMP types. '*' +to suppress assignment is allowed, though in that case it would do +nothing at all. + + Other conversions or types that might be accepted by the C library +'scanf' cannot be used through 'gmp_scanf'. + + Whitespace is read and discarded before a field, except for 'c' and +'[' conversions. + + For float conversions, the decimal point character (or string) +expected is taken from the current locale settings on systems which +provide 'localeconv' (*note Locales and Internationalization: +(libc)Locales.). The C library will normally do the same for standard +float input. + + The format string is only interpreted as plain 'char's, multibyte +characters are not recognised. Perhaps this will change in the future. + + +File: gmp.info, Node: Formatted Input Functions, Next: C++ Formatted Input, Prev: Formatted Input Strings, Up: Formatted Input + +11.2 Formatted Input Functions +============================== + +Each of the following functions is similar to the corresponding C +library function. The plain 'scanf' forms take a variable argument +list. The 'vscanf' forms take an argument pointer, see *note Variadic +Functions: (libc)Variadic Functions, or 'man 3 va_start'. + + It should be emphasised that if a format string is invalid, or the +arguments don't match what the format specifies, then the behaviour of +any of these functions will be unpredictable. GCC format string +checking is not available, since it doesn't recognise the GMP +extensions. + + No overlap is permitted between the FMT string and any of the results +produced. + + -- Function: int gmp_scanf (const char *FMT, ...) + -- Function: int gmp_vscanf (const char *FMT, va_list AP) + Read from the standard input 'stdin'. + + -- Function: int gmp_fscanf (FILE *FP, const char *FMT, ...) + -- Function: int gmp_vfscanf (FILE *FP, const char *FMT, va_list AP) + Read from the stream FP. + + -- Function: int gmp_sscanf (const char *S, const char *FMT, ...) + -- Function: int gmp_vsscanf (const char *S, const char *FMT, va_list + AP) + Read from a null-terminated string S. + + The return value from each of these functions is the same as the +standard C99 'scanf', namely the number of fields successfully parsed +and stored. '%n' fields and fields read but suppressed by '*' don't +count towards the return value. + + If end of input (or a file error) is reached before a character for a +field or a literal, and if no previous non-suppressed fields have +matched, then the return value is 'EOF' instead of 0. A whitespace +character in the format string is only an optional match and doesn't +induce an 'EOF' in this fashion. Leading whitespace read and discarded +for a field don't count as characters for that field. + + For the GMP types, input parsing follows C99 rules, namely one +character of lookahead is used and characters are read while they +continue to meet the format requirements. If this doesn't provide a +complete number then the function terminates, with that field not stored +nor counted towards the return value. For instance with 'mpf_t' an +input '1.23e-XYZ' would be read up to the 'X' and that character pushed +back since it's not a digit. The string '1.23e-' would then be +considered invalid since an 'e' must be followed by at least one digit. + + For the standard C types, in the current implementation GMP calls the +C library 'scanf' functions, which might have looser rules about what +constitutes a valid input. + + Note that 'gmp_sscanf' is the same as 'gmp_fscanf' and only does one +character of lookahead when parsing. Although clearly it could look at +its entire input, it is deliberately made identical to 'gmp_fscanf', the +same way C99 'sscanf' is the same as 'fscanf'. + + +File: gmp.info, Node: C++ Formatted Input, Prev: Formatted Input Functions, Up: Formatted Input + +11.3 C++ Formatted Input +======================== + +The following functions are provided in 'libgmpxx' (*note Headers and +Libraries::), which is built only if C++ support is enabled (*note Build +Options::). Prototypes are available from ''. + + -- Function: istream& operator>> (istream& STREAM, mpz_t ROP) + Read ROP from STREAM, using its 'ios' formatting settings. + + -- Function: istream& operator>> (istream& STREAM, mpq_t ROP) + An integer like '123' will be read, or a fraction like '5/9'. No + whitespace is allowed around the '/'. If the fraction is not in + canonical form then 'mpq_canonicalize' must be called (*note + Rational Number Functions::) before operating on it. + + As per integer input, an '0' or '0x' base indicator is read when + none of 'ios::dec', 'ios::oct' or 'ios::hex' are set. This is done + separately for numerator and denominator, so that for instance + '0x10/11' is 16/11 and '0x10/0x11' is 16/17. + + -- Function: istream& operator>> (istream& STREAM, mpf_t ROP) + Read ROP from STREAM, using its 'ios' formatting settings. + + Hex or octal floats are not supported, but might be in the future, + or perhaps it's best to accept only what the standard float + 'operator>>' does. + + Note that digit grouping specified by the 'istream' locale is +currently not accepted. Perhaps this will change in the future. + + + These operators mean that GMP types can be read in the usual C++ way, +for example, + + mpz_t z; + ... + cin >> z; + + But note that 'istream' input (and 'ostream' output, *note C++ +Formatted Output::) is the only overloading available for the GMP types +and that for instance using '+' with an 'mpz_t' will have unpredictable +results. For classes with overloading, see *note C++ Class Interface::. + + +File: gmp.info, Node: C++ Class Interface, Next: Custom Allocation, Prev: Formatted Input, Up: Top + +12 C++ Class Interface +********************** + +This chapter describes the C++ class based interface to GMP. + + All GMP C language types and functions can be used in C++ programs, +since 'gmp.h' has 'extern "C"' qualifiers, but the class interface +offers overloaded functions and operators which may be more convenient. + + Due to the implementation of this interface, a reasonably recent C++ +compiler is required, one supporting namespaces, partial specialization +of templates and member templates. + + *Everything described in this chapter is to be considered preliminary +and might be subject to incompatible changes if some unforeseen +difficulty reveals itself.* + +* Menu: + +* C++ Interface General:: +* C++ Interface Integers:: +* C++ Interface Rationals:: +* C++ Interface Floats:: +* C++ Interface Random Numbers:: +* C++ Interface Limitations:: + + +File: gmp.info, Node: C++ Interface General, Next: C++ Interface Integers, Prev: C++ Class Interface, Up: C++ Class Interface + +12.1 C++ Interface General +========================== + +All the C++ classes and functions are available with + + #include + + Programs should be linked with the 'libgmpxx' and 'libgmp' libraries. +For example, + + g++ mycxxprog.cc -lgmpxx -lgmp + +The classes defined are + + -- Class: mpz_class + -- Class: mpq_class + -- Class: mpf_class + + The standard operators and various standard functions are overloaded +to allow arithmetic with these classes. For example, + + int + main (void) + { + mpz_class a, b, c; + + a = 1234; + b = "-5678"; + c = a+b; + cout << "sum is " << c << "\n"; + cout << "absolute value is " << abs(c) << "\n"; + + return 0; + } + + An important feature of the implementation is that an expression like +'a=b+c' results in a single call to the corresponding 'mpz_add', without +using a temporary for the 'b+c' part. Expressions which by their nature +imply intermediate values, like 'a=b*c+d*e', still use temporaries +though. + + The classes can be freely intermixed in expressions, as can the +classes and the standard types 'long', 'unsigned long' and 'double'. +Smaller types like 'int' or 'float' can also be intermixed, since C++ +will promote them. + + Note that 'bool' is not accepted directly, but must be explicitly +cast to an 'int' first. This is because C++ will automatically convert +any pointer to a 'bool', so if GMP accepted 'bool' it would make all +sorts of invalid class and pointer combinations compile but almost +certainly not do anything sensible. + + Conversions back from the classes to standard C++ types aren't done +automatically, instead member functions like 'get_si' are provided (see +the following sections for details). + + Also there are no automatic conversions from the classes to the +corresponding GMP C types, instead a reference to the underlying C +object can be obtained with the following functions, + + -- Function: mpz_t mpz_class::get_mpz_t () + -- Function: mpq_t mpq_class::get_mpq_t () + -- Function: mpf_t mpf_class::get_mpf_t () + + These can be used to call a C function which doesn't have a C++ class +interface. For example to set 'a' to the GCD of 'b' and 'c', + + mpz_class a, b, c; + ... + mpz_gcd (a.get_mpz_t(), b.get_mpz_t(), c.get_mpz_t()); + + In the other direction, a class can be initialized from the +corresponding GMP C type, or assigned to if an explicit constructor is +used. In both cases this makes a copy of the value, it doesn't create +any sort of association. For example, + + mpz_t z; + // ... init and calculate z ... + mpz_class x(z); + mpz_class y; + y = mpz_class (z); + + There are no namespace setups in 'gmpxx.h', all types and functions +are simply put into the global namespace. This is what 'gmp.h' has done +in the past, and continues to do for compatibility. The extras provided +by 'gmpxx.h' follow GMP naming conventions and are unlikely to clash +with anything. + + +File: gmp.info, Node: C++ Interface Integers, Next: C++ Interface Rationals, Prev: C++ Interface General, Up: C++ Class Interface + +12.2 C++ Interface Integers +=========================== + + -- Function: mpz_class::mpz_class (type N) + Construct an 'mpz_class'. All the standard C++ types may be used, + except 'long long' and 'long double', and all the GMP C++ classes + can be used, although conversions from 'mpq_class' and 'mpf_class' + are 'explicit'. Any necessary conversion follows the corresponding + C function, for example 'double' follows 'mpz_set_d' (*note + Assigning Integers::). + + -- Function: explicit mpz_class::mpz_class (const mpz_t Z) + Construct an 'mpz_class' from an 'mpz_t'. The value in Z is copied + into the new 'mpz_class', there won't be any permanent association + between it and Z. + + -- Function: explicit mpz_class::mpz_class (const char *S, int BASE = + 0) + -- Function: explicit mpz_class::mpz_class (const string& S, int BASE = + 0) + Construct an 'mpz_class' converted from a string using + 'mpz_set_str' (*note Assigning Integers::). + + If the string is not a valid integer, an 'std::invalid_argument' + exception is thrown. The same applies to 'operator='. + + -- Function: mpz_class operator"" _mpz (const char *STR) + With C++11 compilers, integers can be constructed with the syntax + '123_mpz' which is equivalent to 'mpz_class("123")'. + + -- Function: mpz_class operator/ (mpz_class A, mpz_class D) + -- Function: mpz_class operator% (mpz_class A, mpz_class D) + Divisions involving 'mpz_class' round towards zero, as per the + 'mpz_tdiv_q' and 'mpz_tdiv_r' functions (*note Integer Division::). + This is the same as the C99 '/' and '%' operators. + + The 'mpz_fdiv...' or 'mpz_cdiv...' functions can always be called + directly if desired. For example, + + mpz_class q, a, d; + ... + mpz_fdiv_q (q.get_mpz_t(), a.get_mpz_t(), d.get_mpz_t()); + + -- Function: mpz_class abs (mpz_class OP) + -- Function: int cmp (mpz_class OP1, type OP2) + -- Function: int cmp (type OP1, mpz_class OP2) + + -- Function: bool mpz_class::fits_sint_p (void) + -- Function: bool mpz_class::fits_slong_p (void) + -- Function: bool mpz_class::fits_sshort_p (void) + + -- Function: bool mpz_class::fits_uint_p (void) + -- Function: bool mpz_class::fits_ulong_p (void) + -- Function: bool mpz_class::fits_ushort_p (void) + + -- Function: double mpz_class::get_d (void) + -- Function: long mpz_class::get_si (void) + -- Function: string mpz_class::get_str (int BASE = 10) + -- Function: unsigned long mpz_class::get_ui (void) + + -- Function: int mpz_class::set_str (const char *STR, int BASE) + -- Function: int mpz_class::set_str (const string& STR, int BASE) + -- Function: int sgn (mpz_class OP) + -- Function: mpz_class sqrt (mpz_class OP) + + -- Function: mpz_class gcd (mpz_class OP1, mpz_class OP2) + -- Function: mpz_class lcm (mpz_class OP1, mpz_class OP2) + -- Function: mpz_class mpz_class::factorial (type OP) + -- Function: mpz_class factorial (mpz_class OP) + -- Function: mpz_class mpz_class::primorial (type OP) + -- Function: mpz_class primorial (mpz_class OP) + -- Function: mpz_class mpz_class::fibonacci (type OP) + -- Function: mpz_class fibonacci (mpz_class OP) + + -- Function: void mpz_class::swap (mpz_class& OP) + -- Function: void swap (mpz_class& OP1, mpz_class& OP2) + These functions provide a C++ class interface to the corresponding + GMP C routines. Calling 'factorial' or 'primorial' on a negative + number is undefined. + + 'cmp' can be used with any of the classes or the standard C++ + types, except 'long long' and 'long double'. + + + Overloaded operators for combinations of 'mpz_class' and 'double' are +provided for completeness, but it should be noted that if the given +'double' is not an integer then the way any rounding is done is +currently unspecified. The rounding might take place at the start, in +the middle, or at the end of the operation, and it might change in the +future. + + Conversions between 'mpz_class' and 'double', however, are defined to +follow the corresponding C functions 'mpz_get_d' and 'mpz_set_d'. And +comparisons are always made exactly, as per 'mpz_cmp_d'. + + +File: gmp.info, Node: C++ Interface Rationals, Next: C++ Interface Floats, Prev: C++ Interface Integers, Up: C++ Class Interface + +12.3 C++ Interface Rationals +============================ + +In all the following constructors, if a fraction is given then it should +be in canonical form, or if not then 'mpq_class::canonicalize' called. + + -- Function: mpq_class::mpq_class (type OP) + -- Function: mpq_class::mpq_class (integer NUM, integer DEN) + Construct an 'mpq_class'. The initial value can be a single value + of any type (conversion from 'mpf_class' is 'explicit'), or a pair + of integers ('mpz_class' or standard C++ integer types) + representing a fraction, except that 'long long' and 'long double' + are not supported. For example, + + mpq_class q (99); + mpq_class q (1.75); + mpq_class q (1, 3); + + -- Function: explicit mpq_class::mpq_class (const mpq_t Q) + Construct an 'mpq_class' from an 'mpq_t'. The value in Q is copied + into the new 'mpq_class', there won't be any permanent association + between it and Q. + + -- Function: explicit mpq_class::mpq_class (const char *S, int BASE = + 0) + -- Function: explicit mpq_class::mpq_class (const string& S, int BASE = + 0) + Construct an 'mpq_class' converted from a string using + 'mpq_set_str' (*note Initializing Rationals::). + + If the string is not a valid rational, an 'std::invalid_argument' + exception is thrown. The same applies to 'operator='. + + -- Function: mpq_class operator"" _mpq (const char *STR) + With C++11 compilers, integral rationals can be constructed with + the syntax '123_mpq' which is equivalent to 'mpq_class(123_mpz)'. + Other rationals can be built as '-1_mpq/2' or '0xb_mpq/123456_mpz'. + + -- Function: void mpq_class::canonicalize () + Put an 'mpq_class' into canonical form, as per *note Rational + Number Functions::. All arithmetic operators require their + operands in canonical form, and will return results in canonical + form. + + -- Function: mpq_class abs (mpq_class OP) + -- Function: int cmp (mpq_class OP1, type OP2) + -- Function: int cmp (type OP1, mpq_class OP2) + + -- Function: double mpq_class::get_d (void) + -- Function: string mpq_class::get_str (int BASE = 10) + + -- Function: int mpq_class::set_str (const char *STR, int BASE) + -- Function: int mpq_class::set_str (const string& STR, int BASE) + -- Function: int sgn (mpq_class OP) + + -- Function: void mpq_class::swap (mpq_class& OP) + -- Function: void swap (mpq_class& OP1, mpq_class& OP2) + These functions provide a C++ class interface to the corresponding + GMP C routines. + + 'cmp' can be used with any of the classes or the standard C++ + types, except 'long long' and 'long double'. + + -- Function: mpz_class& mpq_class::get_num () + -- Function: mpz_class& mpq_class::get_den () + Get a reference to an 'mpz_class' which is the numerator or + denominator of an 'mpq_class'. This can be used both for read and + write access. If the object returned is modified, it modifies the + original 'mpq_class'. + + If direct manipulation might produce a non-canonical value, then + 'mpq_class::canonicalize' must be called before further operations. + + -- Function: mpz_t mpq_class::get_num_mpz_t () + -- Function: mpz_t mpq_class::get_den_mpz_t () + Get a reference to the underlying 'mpz_t' numerator or denominator + of an 'mpq_class'. This can be passed to C functions expecting an + 'mpz_t'. Any modifications made to the 'mpz_t' will modify the + original 'mpq_class'. + + If direct manipulation might produce a non-canonical value, then + 'mpq_class::canonicalize' must be called before further operations. + + -- Function: istream& operator>> (istream& STREAM, mpq_class& ROP); + Read ROP from STREAM, using its 'ios' formatting settings, the same + as 'mpq_t operator>>' (*note C++ Formatted Input::). + + If the ROP read might not be in canonical form then + 'mpq_class::canonicalize' must be called. + + +File: gmp.info, Node: C++ Interface Floats, Next: C++ Interface Random Numbers, Prev: C++ Interface Rationals, Up: C++ Class Interface + +12.4 C++ Interface Floats +========================= + +When an expression requires the use of temporary intermediate +'mpf_class' values, like 'f=g*h+x*y', those temporaries will have the +same precision as the destination 'f'. Explicit constructors can be +used if this doesn't suit. + + -- Function: mpf_class::mpf_class (type OP) + -- Function: mpf_class::mpf_class (type OP, mp_bitcnt_t PREC) + Construct an 'mpf_class'. Any standard C++ type can be used, + except 'long long' and 'long double', and any of the GMP C++ + classes can be used. + + If PREC is given, the initial precision is that value, in bits. If + PREC is not given, then the initial precision is determined by the + type of OP given. An 'mpz_class', 'mpq_class', or C++ builtin type + will give the default 'mpf' precision (*note Initializing + Floats::). An 'mpf_class' or expression will give the precision of + that value. The precision of a binary expression is the higher of + the two operands. + + mpf_class f(1.5); // default precision + mpf_class f(1.5, 500); // 500 bits (at least) + mpf_class f(x); // precision of x + mpf_class f(abs(x)); // precision of x + mpf_class f(-g, 1000); // 1000 bits (at least) + mpf_class f(x+y); // greater of precisions of x and y + + -- Function: explicit mpf_class::mpf_class (const mpf_t F) + -- Function: mpf_class::mpf_class (const mpf_t F, mp_bitcnt_t PREC) + Construct an 'mpf_class' from an 'mpf_t'. The value in F is copied + into the new 'mpf_class', there won't be any permanent association + between it and F. + + If PREC is given, the initial precision is that value, in bits. If + PREC is not given, then the initial precision is that of F. + + -- Function: explicit mpf_class::mpf_class (const char *S) + -- Function: mpf_class::mpf_class (const char *S, mp_bitcnt_t PREC, int + BASE = 0) + -- Function: explicit mpf_class::mpf_class (const string& S) + -- Function: mpf_class::mpf_class (const string& S, mp_bitcnt_t PREC, + int BASE = 0) + Construct an 'mpf_class' converted from a string using + 'mpf_set_str' (*note Assigning Floats::). If PREC is given, the + initial precision is that value, in bits. If not, the default + 'mpf' precision (*note Initializing Floats::) is used. + + If the string is not a valid float, an 'std::invalid_argument' + exception is thrown. The same applies to 'operator='. + + -- Function: mpf_class operator"" _mpf (const char *STR) + With C++11 compilers, floats can be constructed with the syntax + '1.23e-1_mpf' which is equivalent to 'mpf_class("1.23e-1")'. + + -- Function: mpf_class& mpf_class::operator= (type OP) + Convert and store the given OP value to an 'mpf_class' object. The + same types are accepted as for the constructors above. + + Note that 'operator=' only stores a new value, it doesn't copy or + change the precision of the destination, instead the value is + truncated if necessary. This is the same as 'mpf_set' etc. Note + in particular this means for 'mpf_class' a copy constructor is not + the same as a default constructor plus assignment. + + mpf_class x (y); // x created with precision of y + + mpf_class x; // x created with default precision + x = y; // value truncated to that precision + + Applications using templated code may need to be careful about the + assumptions the code makes in this area, when working with + 'mpf_class' values of various different or non-default precisions. + For instance implementations of the standard 'complex' template + have been seen in both styles above, though of course 'complex' is + normally only actually specified for use with the builtin float + types. + + -- Function: mpf_class abs (mpf_class OP) + -- Function: mpf_class ceil (mpf_class OP) + -- Function: int cmp (mpf_class OP1, type OP2) + -- Function: int cmp (type OP1, mpf_class OP2) + + -- Function: bool mpf_class::fits_sint_p (void) + -- Function: bool mpf_class::fits_slong_p (void) + -- Function: bool mpf_class::fits_sshort_p (void) + + -- Function: bool mpf_class::fits_uint_p (void) + -- Function: bool mpf_class::fits_ulong_p (void) + -- Function: bool mpf_class::fits_ushort_p (void) + + -- Function: mpf_class floor (mpf_class OP) + -- Function: mpf_class hypot (mpf_class OP1, mpf_class OP2) + + -- Function: double mpf_class::get_d (void) + -- Function: long mpf_class::get_si (void) + -- Function: string mpf_class::get_str (mp_exp_t& EXP, int BASE = 10, + size_t DIGITS = 0) + -- Function: unsigned long mpf_class::get_ui (void) + + -- Function: int mpf_class::set_str (const char *STR, int BASE) + -- Function: int mpf_class::set_str (const string& STR, int BASE) + -- Function: int sgn (mpf_class OP) + -- Function: mpf_class sqrt (mpf_class OP) + + -- Function: void mpf_class::swap (mpf_class& OP) + -- Function: void swap (mpf_class& OP1, mpf_class& OP2) + -- Function: mpf_class trunc (mpf_class OP) + These functions provide a C++ class interface to the corresponding + GMP C routines. + + 'cmp' can be used with any of the classes or the standard C++ + types, except 'long long' and 'long double'. + + The accuracy provided by 'hypot' is not currently guaranteed. + + -- Function: mp_bitcnt_t mpf_class::get_prec () + -- Function: void mpf_class::set_prec (mp_bitcnt_t PREC) + -- Function: void mpf_class::set_prec_raw (mp_bitcnt_t PREC) + Get or set the current precision of an 'mpf_class'. + + The restrictions described for 'mpf_set_prec_raw' (*note + Initializing Floats::) apply to 'mpf_class::set_prec_raw'. Note in + particular that the 'mpf_class' must be restored to its allocated + precision before being destroyed. This must be done by application + code, there's no automatic mechanism for it. + + +File: gmp.info, Node: C++ Interface Random Numbers, Next: C++ Interface Limitations, Prev: C++ Interface Floats, Up: C++ Class Interface + +12.5 C++ Interface Random Numbers +================================= + + -- Class: gmp_randclass + The C++ class interface to the GMP random number functions uses + 'gmp_randclass' to hold an algorithm selection and current state, + as per 'gmp_randstate_t'. + + -- Function: gmp_randclass::gmp_randclass (void (*RANDINIT) + (gmp_randstate_t, ...), ...) + Construct a 'gmp_randclass', using a call to the given RANDINIT + function (*note Random State Initialization::). The arguments + expected are the same as RANDINIT, but with 'mpz_class' instead of + 'mpz_t'. For example, + + gmp_randclass r1 (gmp_randinit_default); + gmp_randclass r2 (gmp_randinit_lc_2exp_size, 32); + gmp_randclass r3 (gmp_randinit_lc_2exp, a, c, m2exp); + gmp_randclass r4 (gmp_randinit_mt); + + 'gmp_randinit_lc_2exp_size' will fail if the size requested is too + big, an 'std::length_error' exception is thrown in that case. + + -- Function: gmp_randclass::gmp_randclass (gmp_randalg_t ALG, ...) + Construct a 'gmp_randclass' using the same parameters as + 'gmp_randinit' (*note Random State Initialization::). This + function is obsolete and the above RANDINIT style should be + preferred. + + -- Function: void gmp_randclass::seed (unsigned long int S) + -- Function: void gmp_randclass::seed (mpz_class S) + Seed a random number generator. See *note Random Number + Functions::, for how to choose a good seed. + + -- Function: mpz_class gmp_randclass::get_z_bits (mp_bitcnt_t BITS) + -- Function: mpz_class gmp_randclass::get_z_bits (mpz_class BITS) + Generate a random integer with a specified number of bits. + + -- Function: mpz_class gmp_randclass::get_z_range (mpz_class N) + Generate a random integer in the range 0 to N-1 inclusive. + + -- Function: mpf_class gmp_randclass::get_f () + -- Function: mpf_class gmp_randclass::get_f (mp_bitcnt_t PREC) + Generate a random float F in the range 0 <= F < 1. F will be to + PREC bits precision, or if PREC is not given then to the precision + of the destination. For example, + + gmp_randclass r; + ... + mpf_class f (0, 512); // 512 bits precision + f = r.get_f(); // random number, 512 bits + + +File: gmp.info, Node: C++ Interface Limitations, Prev: C++ Interface Random Numbers, Up: C++ Class Interface + +12.6 C++ Interface Limitations +============================== + +'mpq_class' and Templated Reading + A generic piece of template code probably won't know that + 'mpq_class' requires a 'canonicalize' call if inputs read with + 'operator>>' might be non-canonical. This can lead to incorrect + results. + + 'operator>>' behaves as it does for reasons of efficiency. A + canonicalize can be quite time consuming on large operands, and is + best avoided if it's not necessary. + + But this potential difficulty reduces the usefulness of + 'mpq_class'. Perhaps a mechanism to tell 'operator>>' what to do + will be adopted in the future, maybe a preprocessor define, a + global flag, or an 'ios' flag pressed into service. Or maybe, at + the risk of inconsistency, the 'mpq_class' 'operator>>' could + canonicalize and leave 'mpq_t' 'operator>>' not doing so, for use + on those occasions when that's acceptable. Send feedback or + alternate ideas to . + +Subclassing + Subclassing the GMP C++ classes works, but is not currently + recommended. + + Expressions involving subclasses resolve correctly (or seem to), + but in normal C++ fashion the subclass doesn't inherit constructors + and assignments. There's many of those in the GMP classes, and a + good way to reestablish them in a subclass is not yet provided. + +Templated Expressions + A subtle difficulty exists when using expressions together with + application-defined template functions. Consider the following, + with 'T' intended to be some numeric type, + + template + T fun (const T &, const T &); + + When used with, say, plain 'mpz_class' variables, it works fine: + 'T' is resolved as 'mpz_class'. + + mpz_class f(1), g(2); + fun (f, g); // Good + + But when one of the arguments is an expression, it doesn't work. + + mpz_class f(1), g(2), h(3); + fun (f, g+h); // Bad + + This is because 'g+h' ends up being a certain expression template + type internal to 'gmpxx.h', which the C++ template resolution rules + are unable to automatically convert to 'mpz_class'. The workaround + is simply to add an explicit cast. + + mpz_class f(1), g(2), h(3); + fun (f, mpz_class(g+h)); // Good + + Similarly, within 'fun' it may be necessary to cast an expression + to type 'T' when calling a templated 'fun2'. + + template + void fun (T f, T g) + { + fun2 (f, f+g); // Bad + } + + template + void fun (T f, T g) + { + fun2 (f, T(f+g)); // Good + } + +C++11 + C++11 provides several new ways in which types can be inferred: + 'auto', 'decltype', etc. While they can be very convenient, they + don't mix well with expression templates. In this example, the + addition is performed twice, as if we had defined 'sum' as a macro. + + mpz_class z = 33; + auto sum = z + z; + mpz_class prod = sum * sum; + + This other example may crash, though some compilers might make it + look like it is working, because the expression 'z+z' goes out of + scope before it is evaluated. + + mpz_class z = 33; + auto sum = z + z + z; + mpz_class prod = sum * 2; + + It is thus strongly recommended to avoid 'auto' anywhere a GMP C++ + expression may appear. + + +File: gmp.info, Node: Custom Allocation, Next: Language Bindings, Prev: C++ Class Interface, Up: Top + +13 Custom Allocation +******************** + +By default GMP uses 'malloc', 'realloc' and 'free' for memory +allocation, and if they fail GMP prints a message to the standard error +output and terminates the program. + + Alternate functions can be specified, to allocate memory in a +different way or to have a different error action on running out of +memory. + + -- Function: void mp_set_memory_functions ( + void *(*ALLOC_FUNC_PTR) (size_t), + void *(*REALLOC_FUNC_PTR) (void *, size_t, size_t), + void (*FREE_FUNC_PTR) (void *, size_t)) + Replace the current allocation functions from the arguments. If an + argument is 'NULL', the corresponding default function is used. + + These functions will be used for all memory allocation done by GMP, + apart from temporary space from 'alloca' if that function is + available and GMP is configured to use it (*note Build Options::). + + *Be sure to call 'mp_set_memory_functions' only when there are no + active GMP objects allocated using the previous memory functions! + Usually that means calling it before any other GMP function.* + + The functions supplied should fit the following declarations: + + -- Function: void * allocate_function (size_t ALLOC_SIZE) + Return a pointer to newly allocated space with at least ALLOC_SIZE + bytes. + + -- Function: void * reallocate_function (void *PTR, size_t OLD_SIZE, + size_t NEW_SIZE) + Resize a previously allocated block PTR of OLD_SIZE bytes to be + NEW_SIZE bytes. + + The block may be moved if necessary or if desired, and in that case + the smaller of OLD_SIZE and NEW_SIZE bytes must be copied to the + new location. The return value is a pointer to the resized block, + that being the new location if moved or just PTR if not. + + PTR is never 'NULL', it's always a previously allocated block. + NEW_SIZE may be bigger or smaller than OLD_SIZE. + + -- Function: void free_function (void *PTR, size_t SIZE) + De-allocate the space pointed to by PTR. + + PTR is never 'NULL', it's always a previously allocated block of + SIZE bytes. + + A "byte" here means the unit used by the 'sizeof' operator. + + The REALLOCATE_FUNCTION parameter OLD_SIZE and the FREE_FUNCTION +parameter SIZE are passed for convenience, but of course they can be +ignored if not needed by an implementation. The default functions using +'malloc' and friends for instance don't use them. + + No error return is allowed from any of these functions, if they +return then they must have performed the specified operation. In +particular note that ALLOCATE_FUNCTION or REALLOCATE_FUNCTION mustn't +return 'NULL'. + + Getting a different fatal error action is a good use for custom +allocation functions, for example giving a graphical dialog rather than +the default print to 'stderr'. How much is possible when genuinely out +of memory is another question though. + + There's currently no defined way for the allocation functions to +recover from an error such as out of memory, they must terminate program +execution. A 'longjmp' or throwing a C++ exception will have undefined +results. This may change in the future. + + GMP may use allocated blocks to hold pointers to other allocated +blocks. This will limit the assumptions a conservative garbage +collection scheme can make. + + Since the default GMP allocation uses 'malloc' and friends, those +functions will be linked in even if the first thing a program does is an +'mp_set_memory_functions'. It's necessary to change the GMP sources if +this is a problem. + + + -- Function: void mp_get_memory_functions ( + void *(**ALLOC_FUNC_PTR) (size_t), + void *(**REALLOC_FUNC_PTR) (void *, size_t, size_t), + void (**FREE_FUNC_PTR) (void *, size_t)) + Get the current allocation functions, storing function pointers to + the locations given by the arguments. If an argument is 'NULL', + that function pointer is not stored. + + For example, to get just the current free function, + + void (*freefunc) (void *, size_t); + + mp_get_memory_functions (NULL, NULL, &freefunc); + + +File: gmp.info, Node: Language Bindings, Next: Algorithms, Prev: Custom Allocation, Up: Top + +14 Language Bindings +******************** + +The following packages and projects offer access to GMP from languages +other than C, though perhaps with varying levels of functionality and +efficiency. + + +C++ + * GMP C++ class interface, *note C++ Class Interface:: + Straightforward interface, expression templates to eliminate + temporaries. + * ALP + Linear algebra and polynomials using templates. + * CLN + High level classes for arithmetic. + * Linbox + Sparse vectors and matrices. + * NTL + A C++ number theory library. + +Eiffel + * Eiffelroom + +Haskell + * Glasgow Haskell Compiler + +Java + * Kaffe + +Lisp + * GNU Common Lisp + * Librep + * XEmacs (21.5.18 beta and up) + Optional big integers, rationals and floats using GMP. + +ML + * MLton compiler + +Objective Caml + * MLGMP + * Numerix + Optionally using GMP. + +Oz + * Mozart + +Pascal + * GNU Pascal Compiler + GMP unit. + * Numerix + For Free Pascal, optionally using GMP. + +Perl + * GMP module, see 'demos/perl' in the GMP sources (*note + Demonstration Programs::). + * Math::GMP + Compatible with Math::BigInt, but not as many functions as the + GMP module above. + * Math::BigInt::GMP + Plug Math::GMP into normal Math::BigInt operations. + +Pike + * pikempz module in the standard distribution, + + +Prolog + * SWI Prolog + Arbitrary precision floats. + +Python + * GMPY + +Ruby + * + +Scheme + * GNU Guile + * RScheme + * STklos + +Smalltalk + * GNU Smalltalk + +Other + * Axiom + Computer algebra using GCL. + * DrGenius + Geometry system and mathematical programming language. + * GiNaC + C++ computer algebra using CLN. + * GOO + Dynamic object oriented language. + * Maxima + Macsyma computer algebra using GCL. + * Regina + Topological calculator. + * Yacas + Yet another computer algebra system. + + +File: gmp.info, Node: Algorithms, Next: Internals, Prev: Language Bindings, Up: Top + +15 Algorithms +************* + +This chapter is an introduction to some of the algorithms used for +various GMP operations. The code is likely to be hard to understand +without knowing something about the algorithms. + + Some GMP internals are mentioned, but applications that expect to be +compatible with future GMP releases should take care to use only the +documented functions. + +* Menu: + +* Multiplication Algorithms:: +* Division Algorithms:: +* Greatest Common Divisor Algorithms:: +* Powering Algorithms:: +* Root Extraction Algorithms:: +* Radix Conversion Algorithms:: +* Other Algorithms:: +* Assembly Coding:: + + +File: gmp.info, Node: Multiplication Algorithms, Next: Division Algorithms, Prev: Algorithms, Up: Algorithms + +15.1 Multiplication +=================== + +NxN limb multiplications and squares are done using one of seven +algorithms, as the size N increases. + + Algorithm Threshold + Basecase (none) + Karatsuba 'MUL_TOOM22_THRESHOLD' + Toom-3 'MUL_TOOM33_THRESHOLD' + Toom-4 'MUL_TOOM44_THRESHOLD' + Toom-6.5 'MUL_TOOM6H_THRESHOLD' + Toom-8.5 'MUL_TOOM8H_THRESHOLD' + FFT 'MUL_FFT_THRESHOLD' + + Similarly for squaring, with the 'SQR' thresholds. + + NxM multiplications of operands with different sizes above +'MUL_TOOM22_THRESHOLD' are currently done by special Toom-inspired +algorithms or directly with FFT, depending on operand size (*note +Unbalanced Multiplication::). + +* Menu: + +* Basecase Multiplication:: +* Karatsuba Multiplication:: +* Toom 3-Way Multiplication:: +* Toom 4-Way Multiplication:: +* Higher degree Toom'n'half:: +* FFT Multiplication:: +* Other Multiplication:: +* Unbalanced Multiplication:: + + +File: gmp.info, Node: Basecase Multiplication, Next: Karatsuba Multiplication, Prev: Multiplication Algorithms, Up: Multiplication Algorithms + +15.1.1 Basecase Multiplication +------------------------------ + +Basecase NxM multiplication is a straightforward rectangular set of +cross-products, the same as long multiplication done by hand and for +that reason sometimes known as the schoolbook or grammar school method. +This is an O(N*M) algorithm. See Knuth section 4.3.1 algorithm M (*note +References::), and the 'mpn/generic/mul_basecase.c' code. + + Assembly implementations of 'mpn_mul_basecase' are essentially the +same as the generic C code, but have all the usual assembly tricks and +obscurities introduced for speed. + + A square can be done in roughly half the time of a multiply, by using +the fact that the cross products above and below the diagonal are the +same. A triangle of products below the diagonal is formed, doubled +(left shift by one bit), and then the products on the diagonal added. +This can be seen in 'mpn/generic/sqr_basecase.c'. Again the assembly +implementations take essentially the same approach. + + u0 u1 u2 u3 u4 + +---+---+---+---+---+ + u0 | d | | | | | + +---+---+---+---+---+ + u1 | | d | | | | + +---+---+---+---+---+ + u2 | | | d | | | + +---+---+---+---+---+ + u3 | | | | d | | + +---+---+---+---+---+ + u4 | | | | | d | + +---+---+---+---+---+ + + In practice squaring isn't a full 2x faster than multiplying, it's +usually around 1.5x. Less than 1.5x probably indicates +'mpn_sqr_basecase' wants improving on that CPU. + + On some CPUs 'mpn_mul_basecase' can be faster than the generic C +'mpn_sqr_basecase' on some small sizes. 'SQR_BASECASE_THRESHOLD' is the +size at which to use 'mpn_sqr_basecase', this will be zero if that +routine should be used always. + + +File: gmp.info, Node: Karatsuba Multiplication, Next: Toom 3-Way Multiplication, Prev: Basecase Multiplication, Up: Multiplication Algorithms + +15.1.2 Karatsuba Multiplication +------------------------------- + +The Karatsuba multiplication algorithm is described in Knuth section +4.3.3 part A, and various other textbooks. A brief description is given +here. + + The inputs x and y are treated as each split into two parts of equal +length (or the most significant part one limb shorter if N is odd). + + high low + +----------+----------+ + | x1 | x0 | + +----------+----------+ + + +----------+----------+ + | y1 | y0 | + +----------+----------+ + + Let b be the power of 2 where the split occurs, i.e. if x0 is k limbs +(y0 the same) then b=2^(k*mp_bits_per_limb). With that x=x1*b+x0 and +y=y1*b+y0, and the following holds, + + x*y = (b^2+b)*x1*y1 - b*(x1-x0)*(y1-y0) + (b+1)*x0*y0 + + This formula means doing only three multiplies of (N/2)x(N/2) limbs, +whereas a basecase multiply of NxN limbs is equivalent to four +multiplies of (N/2)x(N/2). The factors (b^2+b) etc represent the +positions where the three products must be added. + + high low + +--------+--------+ +--------+--------+ + | x1*y1 | | x0*y0 | + +--------+--------+ +--------+--------+ + +--------+--------+ + add | x1*y1 | + +--------+--------+ + +--------+--------+ + add | x0*y0 | + +--------+--------+ + +--------+--------+ + sub | (x1-x0)*(y1-y0) | + +--------+--------+ + + The term (x1-x0)*(y1-y0) is best calculated as an absolute value, and +the sign used to choose to add or subtract. Notice the sum +high(x0*y0)+low(x1*y1) occurs twice, so it's possible to do 5*k limb +additions, rather than 6*k, but in GMP extra function call overheads +outweigh the saving. + + Squaring is similar to multiplying, but with x=y the formula reduces +to an equivalent with three squares, + + x^2 = (b^2+b)*x1^2 - b*(x1-x0)^2 + (b+1)*x0^2 + + The final result is accumulated from those three squares the same way +as for the three multiplies above. The middle term (x1-x0)^2 is now +always positive. + + A similar formula for both multiplying and squaring can be +constructed with a middle term (x1+x0)*(y1+y0). But those sums can +exceed k limbs, leading to more carry handling and additions than the +form above. + + Karatsuba multiplication is asymptotically an O(N^1.585) algorithm, +the exponent being log(3)/log(2), representing 3 multiplies each 1/2 the +size of the inputs. This is a big improvement over the basecase +multiply at O(N^2) and the advantage soon overcomes the extra additions +Karatsuba performs. 'MUL_TOOM22_THRESHOLD' can be as little as 10 +limbs. The 'SQR' threshold is usually about twice the 'MUL'. + + The basecase algorithm will take a time of the form M(N) = a*N^2 + +b*N + c and the Karatsuba algorithm K(N) = 3*M(N/2) + d*N + e, which +expands to K(N) = 3/4*a*N^2 + 3/2*b*N + 3*c + d*N + e. The factor 3/4 +for a means per-crossproduct speedups in the basecase code will increase +the threshold since they benefit M(N) more than K(N). And conversely the +3/2 for b means linear style speedups of b will increase the threshold +since they benefit K(N) more than M(N). The latter can be seen for +instance when adding an optimized 'mpn_sqr_diagonal' to +'mpn_sqr_basecase'. Of course all speedups reduce total time, and in +that sense the algorithm thresholds are merely of academic interest. + + +File: gmp.info, Node: Toom 3-Way Multiplication, Next: Toom 4-Way Multiplication, Prev: Karatsuba Multiplication, Up: Multiplication Algorithms + +15.1.3 Toom 3-Way Multiplication +-------------------------------- + +The Karatsuba formula is the simplest case of a general approach to +splitting inputs that leads to both Toom and FFT algorithms. A +description of Toom can be found in Knuth section 4.3.3, with an example +3-way calculation after Theorem A. The 3-way form used in GMP is +described here. + + The operands are each considered split into 3 pieces of equal length +(or the most significant part 1 or 2 limbs shorter than the other two). + + high low + +----------+----------+----------+ + | x2 | x1 | x0 | + +----------+----------+----------+ + + +----------+----------+----------+ + | y2 | y1 | y0 | + +----------+----------+----------+ + +These parts are treated as the coefficients of two polynomials + + X(t) = x2*t^2 + x1*t + x0 + Y(t) = y2*t^2 + y1*t + y0 + + Let b equal the power of 2 which is the size of the x0, x1, y0 and y1 +pieces, i.e. if they're k limbs each then b=2^(k*mp_bits_per_limb). +With this x=X(b) and y=Y(b). + + Let a polynomial W(t)=X(t)*Y(t) and suppose its coefficients are + + W(t) = w4*t^4 + w3*t^3 + w2*t^2 + w1*t + w0 + + The w[i] are going to be determined, and when they are they'll give +the final result using w=W(b), since x*y=X(b)*Y(b)=W(b). The +coefficients will be roughly b^2 each, and the final W(b) will be an +addition like this: + + high low + +-------+-------+ + | w4 | + +-------+-------+ + +--------+-------+ + | w3 | + +--------+-------+ + +--------+-------+ + | w2 | + +--------+-------+ + +--------+-------+ + | w1 | + +--------+-------+ + +-------+-------+ + | w0 | + +-------+-------+ + + The w[i] coefficients could be formed by a simple set of cross +products, like w4=x2*y2, w3=x2*y1+x1*y2, w2=x2*y0+x1*y1+x0*y2 etc, but +this would need all nine x[i]*y[j] for i,j=0,1,2, and would be +equivalent merely to a basecase multiply. Instead the following +approach is used. + + X(t) and Y(t) are evaluated and multiplied at 5 points, giving values +of W(t) at those points. In GMP the following points are used: + + Point Value + t=0 x0 * y0, which gives w0 immediately + t=1 (x2+x1+x0) * (y2+y1+y0) + t=-1 (x2-x1+x0) * (y2-y1+y0) + t=2 (4*x2+2*x1+x0) * (4*y2+2*y1+y0) + t=inf x2 * y2, which gives w4 immediately + + At t=-1 the values can be negative and that's handled using the +absolute values and tracking the sign separately. At t=inf the value is +actually X(t)*Y(t)/t^4 in the limit as t approaches infinity, but it's +much easier to think of as simply x2*y2 giving w4 immediately (much like +x0*y0 at t=0 gives w0 immediately). + + Each of the points substituted into W(t)=w4*t^4+...+w0 gives a linear +combination of the w[i] coefficients, and the value of those +combinations has just been calculated. + + W(0) = w0 + W(1) = w4 + w3 + w2 + w1 + w0 + W(-1) = w4 - w3 + w2 - w1 + w0 + W(2) = 16*w4 + 8*w3 + 4*w2 + 2*w1 + w0 + W(inf) = w4 + + This is a set of five equations in five unknowns, and some elementary +linear algebra quickly isolates each w[i]. This involves adding or +subtracting one W(t) value from another, and a couple of divisions by +powers of 2 and one division by 3, the latter using the special +'mpn_divexact_by3' (*note Exact Division::). + + The conversion of W(t) values to the coefficients is interpolation. +A polynomial of degree 4 like W(t) is uniquely determined by values +known at 5 different points. The points are arbitrary and can be chosen +to make the linear equations come out with a convenient set of steps for +quickly isolating the w[i]. + + Squaring follows the same procedure as multiplication, but there's +only one X(t) and it's evaluated at the 5 points, and those values +squared to give values of W(t). The interpolation is then identical, +and in fact the same 'toom_interpolate_5pts' subroutine is used for both +squaring and multiplying. + + Toom-3 is asymptotically O(N^1.465), the exponent being +log(5)/log(3), representing 5 recursive multiplies of 1/3 the original +size each. This is an improvement over Karatsuba at O(N^1.585), though +Toom does more work in the evaluation and interpolation and so it only +realizes its advantage above a certain size. + + Near the crossover between Toom-3 and Karatsuba there's generally a +range of sizes where the difference between the two is small. +'MUL_TOOM33_THRESHOLD' is a somewhat arbitrary point in that range and +successive runs of the tune program can give different values due to +small variations in measuring. A graph of time versus size for the two +shows the effect, see 'tune/README'. + + At the fairly small sizes where the Toom-3 thresholds occur it's +worth remembering that the asymptotic behaviour for Karatsuba and Toom-3 +can't be expected to make accurate predictions, due of course to the big +influence of all sorts of overheads, and the fact that only a few +recursions of each are being performed. Even at large sizes there's a +good chance machine dependent effects like cache architecture will mean +actual performance deviates from what might be predicted. + + The formula given for the Karatsuba algorithm (*note Karatsuba +Multiplication::) has an equivalent for Toom-3 involving only five +multiplies, but this would be complicated and unenlightening. + + An alternate view of Toom-3 can be found in Zuras (*note +References::), using a vector to represent the x and y splits and a +matrix multiplication for the evaluation and interpolation stages. The +matrix inverses are not meant to be actually used, and they have +elements with values much greater than in fact arise in the +interpolation steps. The diagram shown for the 3-way is attractive, but +again doesn't have to be implemented that way and for example with a bit +of rearrangement just one division by 6 can be done. + + +File: gmp.info, Node: Toom 4-Way Multiplication, Next: Higher degree Toom'n'half, Prev: Toom 3-Way Multiplication, Up: Multiplication Algorithms + +15.1.4 Toom 4-Way Multiplication +-------------------------------- + +Karatsuba and Toom-3 split the operands into 2 and 3 coefficients, +respectively. Toom-4 analogously splits the operands into 4 +coefficients. Using the notation from the section on Toom-3 +multiplication, we form two polynomials: + + X(t) = x3*t^3 + x2*t^2 + x1*t + x0 + Y(t) = y3*t^3 + y2*t^2 + y1*t + y0 + + X(t) and Y(t) are evaluated and multiplied at 7 points, giving values +of W(t) at those points. In GMP the following points are used, + + Point Value + t=0 x0 * y0, which gives w0 immediately + t=1/2 (x3+2*x2+4*x1+8*x0) * (y3+2*y2+4*y1+8*y0) + t=-1/2 (-x3+2*x2-4*x1+8*x0) * (-y3+2*y2-4*y1+8*y0) + t=1 (x3+x2+x1+x0) * (y3+y2+y1+y0) + t=-1 (-x3+x2-x1+x0) * (-y3+y2-y1+y0) + t=2 (8*x3+4*x2+2*x1+x0) * (8*y3+4*y2+2*y1+y0) + t=inf x3 * y3, which gives w6 immediately + + The number of additions and subtractions for Toom-4 is much larger +than for Toom-3. But several subexpressions occur multiple times, for +example x2+x0 occurs for both t=1 and t=-1. + + Toom-4 is asymptotically O(N^1.404), the exponent being +log(7)/log(4), representing 7 recursive multiplies of 1/4 the original +size each. + + +File: gmp.info, Node: Higher degree Toom'n'half, Next: FFT Multiplication, Prev: Toom 4-Way Multiplication, Up: Multiplication Algorithms + +15.1.5 Higher degree Toom'n'half +-------------------------------- + +The Toom algorithms described above (*note Toom 3-Way Multiplication::, +*note Toom 4-Way Multiplication::) generalize to split into an arbitrary +number of pieces. In general a split of two equally long operands into +r pieces leads to evaluations and pointwise multiplications done at +2*r-1 points. To fully exploit symmetries it would be better to have a +multiple of 4 points, that's why for higher degree Toom'n'half is used. + + Toom'n'half means that the existence of one more piece is considered +for a single operand. It can be virtual, i.e. zero, or real, when the +two operands are not exactly balanced. By choosing an even r, +Toom-r+1/2 requires 2r points, a multiple of four. + + The quadruplets of points include 0, inf, +1, and +-2^i, +-2^-i. +Each of them giving shortcuts for the evaluation phase and for some +steps in the interpolation phase. Further tricks are used to reduce the +memory footprint of the whole multiplication algorithm to a memory +buffer equal in size to the result of the product. + + Current GMP uses both Toom-6'n'half and Toom-8'n'half. + + +File: gmp.info, Node: FFT Multiplication, Next: Other Multiplication, Prev: Higher degree Toom'n'half, Up: Multiplication Algorithms + +15.1.6 FFT Multiplication +------------------------- + +At large to very large sizes a Fermat style FFT multiplication is used, +following Schönhage and Strassen (*note References::). Descriptions of +FFTs in various forms can be found in many textbooks, for instance Knuth +section 4.3.3 part C or Lipson chapter IX. A brief description of the +form used in GMP is given here. + + The multiplication done is x*y mod 2^N+1, for a given N. A full +product x*y is obtained by choosing N>=bits(x)+bits(y) and padding x and +y with high zero limbs. The modular product is the native form for the +algorithm, so padding to get a full product is unavoidable. + + The algorithm follows a split, evaluate, pointwise multiply, +interpolate and combine similar to that described above for Karatsuba +and Toom-3. A k parameter controls the split, with an FFT-k splitting +into 2^k pieces of M=N/2^k bits each. N must be a multiple of +(2^k)*mp_bits_per_limb so the split falls on limb boundaries, avoiding +bit shifts in the split and combine stages. + + The evaluations, pointwise multiplications, and interpolation are all +done modulo 2^N'+1 where N' is 2M+k+3 rounded up to a multiple of 2^k +and of 'mp_bits_per_limb'. The results of interpolation will be the +following negacyclic convolution of the input pieces, and the choice of +N' ensures these sums aren't truncated. + + --- + \ b + w[n] = / (-1) * x[i] * y[j] + --- + i+j==b*2^k+n + b=0,1 + + The points used for the evaluation are g^i for i=0 to 2^k-1 where +g=2^(2N'/2^k). g is a 2^k'th root of unity mod 2^N'+1, which produces +necessary cancellations at the interpolation stage, and it's also a +power of 2 so the fast Fourier transforms used for the evaluation and +interpolation do only shifts, adds and negations. + + The pointwise multiplications are done modulo 2^N'+1 and either +recurse into a further FFT or use a plain multiplication (Toom-3, +Karatsuba or basecase), whichever is optimal at the size N'. The +interpolation is an inverse fast Fourier transform. The resulting set +of sums of x[i]*y[j] are added at appropriate offsets to give the final +result. + + Squaring is the same, but x is the only input so it's one transform +at the evaluate stage and the pointwise multiplies are squares. The +interpolation is the same. + + For a mod 2^N+1 product, an FFT-k is an O(N^(k/(k-1))) algorithm, the +exponent representing 2^k recursed modular multiplies each 1/2^(k-1) the +size of the original. Each successive k is an asymptotic improvement, +but overheads mean each is only faster at bigger and bigger sizes. In +the code, 'MUL_FFT_TABLE' and 'SQR_FFT_TABLE' are the thresholds where +each k is used. Each new k effectively swaps some multiplying for some +shifts, adds and overheads. + + A mod 2^N+1 product can be formed with a normal NxN->2N bit multiply +plus a subtraction, so an FFT and Toom-3 etc can be compared directly. +A k=4 FFT at O(N^1.333) can be expected to be the first faster than +Toom-3 at O(N^1.465). In practice this is what's found, with +'MUL_FFT_MODF_THRESHOLD' and 'SQR_FFT_MODF_THRESHOLD' being between 300 +and 1000 limbs, depending on the CPU. So far it's been found that only +very large FFTs recurse into pointwise multiplies above these sizes. + + When an FFT is to give a full product, the change of N to 2N doesn't +alter the theoretical complexity for a given k, but for the purposes of +considering where an FFT might be first used it can be assumed that the +FFT is recursing into a normal multiply and that on that basis it's +doing 2^k recursed multiplies each 1/2^(k-2) the size of the inputs, +making it O(N^(k/(k-2))). This would mean k=7 at O(N^1.4) would be the +first FFT faster than Toom-3. In practice 'MUL_FFT_THRESHOLD' and +'SQR_FFT_THRESHOLD' have been found to be in the k=8 range, somewhere +between 3000 and 10000 limbs. + + The way N is split into 2^k pieces and then 2M+k+3 is rounded up to a +multiple of 2^k and 'mp_bits_per_limb' means that when +2^k>=mp\_bits\_per\_limb the effective N is a multiple of 2^(2k-1) bits. +The +k+3 means some values of N just under such a multiple will be +rounded to the next. The complexity calculations above assume that a +favourable size is used, meaning one which isn't padded through +rounding, and it's also assumed that the extra +k+3 bits are negligible +at typical FFT sizes. + + The practical effect of the 2^(2k-1) constraint is to introduce a +step-effect into measured speeds. For example k=8 will round N up to a +multiple of 32768 bits, so for a 32-bit limb there'll be 512 limb groups +of sizes for which 'mpn_mul_n' runs at the same speed. Or for k=9 +groups of 2048 limbs, k=10 groups of 8192 limbs, etc. In practice it's +been found each k is used at quite small multiples of its size +constraint and so the step effect is quite noticeable in a time versus +size graph. + + The threshold determinations currently measure at the mid-points of +size steps, but this is sub-optimal since at the start of a new step it +can happen that it's better to go back to the previous k for a while. +Something more sophisticated for 'MUL_FFT_TABLE' and 'SQR_FFT_TABLE' +will be needed. + + +File: gmp.info, Node: Other Multiplication, Next: Unbalanced Multiplication, Prev: FFT Multiplication, Up: Multiplication Algorithms + +15.1.7 Other Multiplication +--------------------------- + +The Toom algorithms described above (*note Toom 3-Way Multiplication::, +*note Toom 4-Way Multiplication::) generalizes to split into an +arbitrary number of pieces, as per Knuth section 4.3.3 algorithm C. +This is not currently used. The notes here are merely for interest. + + In general a split into r+1 pieces is made, and evaluations and +pointwise multiplications done at 2*r+1 points. A 4-way split does 7 +pointwise multiplies, 5-way does 9, etc. Asymptotically an (r+1)-way +algorithm is O(N^(log(2*r+1)/log(r+1))). Only the pointwise +multiplications count towards big-O complexity, but the time spent in +the evaluate and interpolate stages grows with r and has a significant +practical impact, with the asymptotic advantage of each r realized only +at bigger and bigger sizes. The overheads grow as O(N*r), whereas in an +r=2^k FFT they grow only as O(N*log(r)). + + Knuth algorithm C evaluates at points 0,1,2,...,2*r, but exercise 4 +uses -r,...,0,...,r and the latter saves some small multiplies in the +evaluate stage (or rather trades them for additions), and has a further +saving of nearly half the interpolate steps. The idea is to separate +odd and even final coefficients and then perform algorithm C steps C7 +and C8 on them separately. The divisors at step C7 become j^2 and the +multipliers at C8 become 2*t*j-j^2. + + Splitting odd and even parts through positive and negative points can +be thought of as using -1 as a square root of unity. If a 4th root of +unity was available then a further split and speedup would be possible, +but no such root exists for plain integers. Going to complex integers +with i=sqrt(-1) doesn't help, essentially because in Cartesian form it +takes three real multiplies to do a complex multiply. The existence of +2^k'th roots of unity in a suitable ring or field lets the fast Fourier +transform keep splitting and get to O(N*log(r)). + + Floating point FFTs use complex numbers approximating Nth roots of +unity. Some processors have special support for such FFTs. But these +are not used in GMP since it's very difficult to guarantee an exact +result (to some number of bits). An occasional difference of 1 in the +last bit might not matter to a typical signal processing algorithm, but +is of course of vital importance to GMP. + + +File: gmp.info, Node: Unbalanced Multiplication, Prev: Other Multiplication, Up: Multiplication Algorithms + +15.1.8 Unbalanced Multiplication +-------------------------------- + +Multiplication of operands with different sizes, both below +'MUL_TOOM22_THRESHOLD' are done with plain schoolbook multiplication +(*note Basecase Multiplication::). + + For really large operands, we invoke FFT directly. + + For operands between these sizes, we use Toom inspired algorithms +suggested by Alberto Zanoni and Marco Bodrato. The idea is to split the +operands into polynomials of different degree. GMP currently splits the +smaller operand into 2 coefficients, i.e., a polynomial of degree 1, but +the larger operand can be split into 2, 3, or 4 coefficients, i.e., a +polynomial of degree 1 to 3. + + +File: gmp.info, Node: Division Algorithms, Next: Greatest Common Divisor Algorithms, Prev: Multiplication Algorithms, Up: Algorithms + +15.2 Division Algorithms +======================== + +* Menu: + +* Single Limb Division:: +* Basecase Division:: +* Divide and Conquer Division:: +* Block-Wise Barrett Division:: +* Exact Division:: +* Exact Remainder:: +* Small Quotient Division:: + + +File: gmp.info, Node: Single Limb Division, Next: Basecase Division, Prev: Division Algorithms, Up: Division Algorithms + +15.2.1 Single Limb Division +--------------------------- + +Nx1 division is implemented using repeated 2x1 divisions from high to +low, either with a hardware divide instruction or a multiplication by +inverse, whichever is best on a given CPU. + + The multiply by inverse follows "Improved division by invariant +integers" by Möller and Granlund (*note References::) and is implemented +as 'udiv_qrnnd_preinv' in 'gmp-impl.h'. The idea is to have a +fixed-point approximation to 1/d (see 'invert_limb') and then multiply +by the high limb (plus one bit) of the dividend to get a quotient q. +With d normalized (high bit set), q is no more than 1 too small. +Subtracting q*d from the dividend gives a remainder, and reveals whether +q or q-1 is correct. + + The result is a division done with two multiplications and four or +five arithmetic operations. On CPUs with low latency multipliers this +can be much faster than a hardware divide, though the cost of +calculating the inverse at the start may mean it's only better on inputs +bigger than say 4 or 5 limbs. + + When a divisor must be normalized, either for the generic C +'__udiv_qrnnd_c' or the multiply by inverse, the division performed is +actually a*2^k by d*2^k where a is the dividend and k is the power +necessary to have the high bit of d*2^k set. The bit shifts for the +dividend are usually accomplished "on the fly" meaning by extracting the +appropriate bits at each step. Done this way the quotient limbs come +out aligned ready to store. When only the remainder is wanted, an +alternative is to take the dividend limbs unshifted and calculate r = a +mod d*2^k followed by an extra final step r*2^k mod d*2^k. This can +help on CPUs with poor bit shifts or few registers. + + The multiply by inverse can be done two limbs at a time. The +calculation is basically the same, but the inverse is two limbs and the +divisor treated as if padded with a low zero limb. This means more +work, since the inverse will need a 2x2 multiply, but the four 1x1s to +do that are independent and can therefore be done partly or wholly in +parallel. Likewise for a 2x1 calculating q*d. The net effect is to +process two limbs with roughly the same two multiplies worth of latency +that one limb at a time gives. This extends to 3 or 4 limbs at a time, +though the extra work to apply the inverse will almost certainly soon +reach the limits of multiplier throughput. + + A similar approach in reverse can be taken to process just half a +limb at a time if the divisor is only a half limb. In this case the 1x1 +multiply for the inverse effectively becomes two (1/2)x1 for each limb, +which can be a saving on CPUs with a fast half limb multiply, or in fact +if the only multiply is a half limb, and especially if it's not +pipelined. + + +File: gmp.info, Node: Basecase Division, Next: Divide and Conquer Division, Prev: Single Limb Division, Up: Division Algorithms + +15.2.2 Basecase Division +------------------------ + +Basecase NxM division is like long division done by hand, but in base +2^mp_bits_per_limb. See Knuth section 4.3.1 algorithm D, and +'mpn/generic/sb_divrem_mn.c'. + + Briefly stated, while the dividend remains larger than the divisor, a +high quotient limb is formed and the Nx1 product q*d subtracted at the +top end of the dividend. With a normalized divisor (most significant +bit set), each quotient limb can be formed with a 2x1 division and a 1x1 +multiplication plus some subtractions. The 2x1 division is by the high +limb of the divisor and is done either with a hardware divide or a +multiply by inverse (the same as in *note Single Limb Division::) +whichever is faster. Such a quotient is sometimes one too big, +requiring an addback of the divisor, but that happens rarely. + + With Q=N-M being the number of quotient limbs, this is an O(Q*M) +algorithm and will run at a speed similar to a basecase QxM +multiplication, differing in fact only in the extra multiply and divide +for each of the Q quotient limbs. + diff --git a/misc/builddeps/emscripten/gmp/share/info/gmp.info-2 b/misc/builddeps/emscripten/gmp/share/info/gmp.info-2 new file mode 100644 index 00000000..af839fbf --- /dev/null +++ b/misc/builddeps/emscripten/gmp/share/info/gmp.info-2 @@ -0,0 +1,4104 @@ +This is gmp.info, produced by makeinfo version 6.7 from gmp.texi. + +This manual describes how to install and use the GNU multiple precision +arithmetic library, version 6.3.0. + + Copyright 1991, 1993-2016, 2018-2020 Free Software Foundation, Inc. + + Permission is granted to copy, distribute and/or modify this document +under the terms of the GNU Free Documentation License, Version 1.3 or +any later version published by the Free Software Foundation; with no +Invariant Sections, with the Front-Cover Texts being "A GNU Manual", and +with the Back-Cover Texts being "You have freedom to copy and modify +this GNU Manual, like GNU software". A copy of the license is included +in *note GNU Free Documentation License::. +INFO-DIR-SECTION GNU libraries +START-INFO-DIR-ENTRY +* gmp: (gmp). GNU Multiple Precision Arithmetic Library. +END-INFO-DIR-ENTRY + + +File: gmp.info, Node: Divide and Conquer Division, Next: Block-Wise Barrett Division, Prev: Basecase Division, Up: Division Algorithms + +15.2.3 Divide and Conquer Division +---------------------------------- + +For divisors larger than 'DC_DIV_QR_THRESHOLD', division is done by +dividing. Or to be precise by a recursive divide and conquer algorithm +based on work by Moenck and Borodin, Jebelean, and Burnikel and Ziegler +(*note References::). + + The algorithm consists essentially of recognising that a 2NxN +division can be done with the basecase division algorithm (*note +Basecase Division::), but using N/2 limbs as a base, not just a single +limb. This way the multiplications that arise are (N/2)x(N/2) and can +take advantage of Karatsuba and higher multiplication algorithms (*note +Multiplication Algorithms::). The two "digits" of the quotient are +formed by recursive Nx(N/2) divisions. + + If the (N/2)x(N/2) multiplies are done with a basecase multiplication +then the work is about the same as a basecase division, but with more +function call overheads and with some subtractions separated from the +multiplies. These overheads mean that it's only when N/2 is above +'MUL_TOOM22_THRESHOLD' that divide and conquer is of use. + + 'DC_DIV_QR_THRESHOLD' is based on the divisor size N, so it will be +somewhere above twice 'MUL_TOOM22_THRESHOLD', but how much above depends +on the CPU. An optimized 'mpn_mul_basecase' can lower +'DC_DIV_QR_THRESHOLD' a little by offering a ready-made advantage over +repeated 'mpn_submul_1' calls. + + Divide and conquer is asymptotically O(M(N)*log(N)) where M(N) is the +time for an NxN multiplication done with FFTs. The actual time is a sum +over multiplications of the recursed sizes, as can be seen near the end +of section 2.2 of Burnikel and Ziegler. For example, within the Toom-3 +range, divide and conquer is 2.63*M(N). With higher algorithms the M(N) +term improves and the multiplier tends to log(N). In practice, at +moderate to large sizes, a 2NxN division is about 2 to 4 times slower +than an NxN multiplication. + + +File: gmp.info, Node: Block-Wise Barrett Division, Next: Exact Division, Prev: Divide and Conquer Division, Up: Division Algorithms + +15.2.4 Block-Wise Barrett Division +---------------------------------- + +For the largest divisions, a block-wise Barrett division algorithm is +used. Here, the divisor is inverted to a precision determined by the +relative size of the dividend and divisor. Blocks of quotient limbs are +then generated by multiplying blocks from the dividend by the inverse. + + Our block-wise algorithm computes a smaller inverse than in the plain +Barrett algorithm. For a 2n/n division, the inverse will be just +ceil(n/2) limbs. + + +File: gmp.info, Node: Exact Division, Next: Exact Remainder, Prev: Block-Wise Barrett Division, Up: Division Algorithms + +15.2.5 Exact Division +--------------------- + +A so-called exact division is when the dividend is known to be an exact +multiple of the divisor. Jebelean's exact division algorithm uses this +knowledge to make some significant optimizations (*note References::). + + The idea can be illustrated in decimal for example with 368154 +divided by 543. Because the low digit of the dividend is 4, the low +digit of the quotient must be 8. This is arrived at from 4*7 mod 10, +using the fact 7 is the modular inverse of 3 (the low digit of the +divisor), since 3*7 == 1 mod 10. So 8*543=4344 can be subtracted from +the dividend leaving 363810. Notice the low digit has become zero. + + The procedure is repeated at the second digit, with the next quotient +digit 7 (7 == 1*7 mod 10), subtracting 7*543=3801, leaving 325800. And +finally at the third digit with quotient digit 6 (8*7 mod 10), +subtracting 6*543=3258 leaving 0. So the quotient is 678. + + Notice however that the multiplies and subtractions don't need to +extend past the low three digits of the dividend, since that's enough to +determine the three quotient digits. For the last quotient digit no +subtraction is needed at all. On a 2NxN division like this one, only +about half the work of a normal basecase division is necessary. + + For an NxM exact division producing Q=N-M quotient limbs, the saving +over a normal basecase division is in two parts. Firstly, each of the Q +quotient limbs needs only one multiply, not a 2x1 divide and multiply. +Secondly, the crossproducts are reduced when Q>M to Q*M-M*(M+1)/2, or +when Q<=M to Q*(Q-1)/2. Notice the savings are complementary. If Q is +big then many divisions are saved, or if Q is small then the +crossproducts reduce to a small number. + + The modular inverse used is calculated efficiently by 'binvert_limb' +in 'gmp-impl.h'. This does four multiplies for a 32-bit limb, or six +for a 64-bit limb. 'tune/modlinv.c' has some alternate implementations +that might suit processors better at bit twiddling than multiplying. + + The sub-quadratic exact division described by Jebelean in "Exact +Division with Karatsuba Complexity" is not currently implemented. It +uses a rearrangement similar to the divide and conquer for normal +division (*note Divide and Conquer Division::), but operating from low +to high. A further possibility not currently implemented is +"Bidirectional Exact Integer Division" by Krandick and Jebelean which +forms quotient limbs from both the high and low ends of the dividend, +and can halve once more the number of crossproducts needed in a 2NxN +division. + + A special case exact division by 3 exists in 'mpn_divexact_by3', +supporting Toom-3 multiplication and 'mpq' canonicalizations. It forms +quotient digits with a multiply by the modular inverse of 3 (which is +'0xAA..AAB') and uses two comparisons to determine a borrow for the next +limb. The multiplications don't need to be on the dependent chain, as +long as the effect of the borrows is applied, which can help chips with +pipelined multipliers. + + +File: gmp.info, Node: Exact Remainder, Next: Small Quotient Division, Prev: Exact Division, Up: Division Algorithms + +15.2.6 Exact Remainder +---------------------- + +If the exact division algorithm is done with a full subtraction at each +stage and the dividend isn't a multiple of the divisor, then low zero +limbs are produced but with a remainder in the high limbs. For dividend +a, divisor d, quotient q, and b = 2^mp_bits_per_limb, this remainder r +is of the form + + a = q*d + r*b^n + + n represents the number of zero limbs produced by the subtractions, +that being the number of limbs produced for q. r will be in the range +0<=rb*r+u2 condition appropriately relaxed. + + +File: gmp.info, Node: Greatest Common Divisor Algorithms, Next: Powering Algorithms, Prev: Division Algorithms, Up: Algorithms + +15.3 Greatest Common Divisor +============================ + +* Menu: + +* Binary GCD:: +* Lehmer's Algorithm:: +* Subquadratic GCD:: +* Extended GCD:: +* Jacobi Symbol:: + + +File: gmp.info, Node: Binary GCD, Next: Lehmer's Algorithm, Prev: Greatest Common Divisor Algorithms, Up: Greatest Common Divisor Algorithms + +15.3.1 Binary GCD +----------------- + +At small sizes GMP uses an O(N^2) binary style GCD. This is described +in many textbooks, for example Knuth section 4.5.2 algorithm B. It +simply consists of successively reducing odd operands a and b using + + a,b = abs(a-b),min(a,b) + strip factors of 2 from a + + The Euclidean GCD algorithm, as per Knuth algorithms E and A, +repeatedly computes the quotient q = floor(a/b) and replaces a,b by v, u +- q v. The binary algorithm has so far been found to be faster than the +Euclidean algorithm everywhere. One reason the binary method does well +is that the implied quotient at each step is usually small, so often +only one or two subtractions are needed to get the same effect as a +division. Quotients 1, 2 and 3 for example occur 67.7% of the time, see +Knuth section 4.5.3 Theorem E. + + When the implied quotient is large, meaning b is much smaller than a, +then a division is worthwhile. This is the basis for the initial a mod +b reductions in 'mpn_gcd' and 'mpn_gcd_1' (the latter for both Nx1 and +1x1 cases). But after that initial reduction, big quotients occur too +rarely to make it worth checking for them. + + + The final 1x1 GCD in 'mpn_gcd_1' is done in the generic C code as +described above. For two N-bit operands, the algorithm takes about 0.68 +iterations per bit. For optimum performance some attention needs to be +paid to the way the factors of 2 are stripped from a. + + Firstly it may be noted that in two's complement the number of low +zero bits on a-b is the same as b-a, so counting or testing can begin on +a-b without waiting for abs(a-b) to be determined. + + A loop stripping low zero bits tends not to branch predict well, +since the condition is data dependent. But on average there's only a +few low zeros, so an option is to strip one or two bits arithmetically +then loop for more (as done for AMD K6). Or use a lookup table to get a +count for several bits then loop for more (as done for AMD K7). An +alternative approach is to keep just one of a and b odd and iterate + + a,b = abs(a-b), min(a,b) + a = a/2 if even + b = b/2 if even + + This requires about 1.25 iterations per bit, but stripping of a +single bit at each step avoids any branching. Repeating the bit strip +reduces to about 0.9 iterations per bit, which may be a worthwhile +tradeoff. + + Generally with the above approaches a speed of perhaps 6 cycles per +bit can be achieved, which is still not terribly fast with for instance +a 64-bit GCD taking nearly 400 cycles. It's this sort of time which +means it's not usually advantageous to combine a set of divisibility +tests into a GCD. + + Currently, the binary algorithm is used for GCD only when N < 3. + + +File: gmp.info, Node: Lehmer's Algorithm, Next: Subquadratic GCD, Prev: Binary GCD, Up: Greatest Common Divisor Algorithms + +15.3.2 Lehmer's algorithm +------------------------- + +Lehmer's improvement of the Euclidean algorithms is based on the +observation that the initial part of the quotient sequence depends only +on the most significant parts of the inputs. The variant of Lehmer's +algorithm used in GMP splits off the most significant two limbs, as +suggested, e.g., in "A Double-Digit Lehmer-Euclid Algorithm" by Jebelean +(*note References::). The quotients of two double-limb inputs are +collected as a 2 by 2 matrix with single-limb elements. This is done by +the function 'mpn_hgcd2'. The resulting matrix is applied to the inputs +using 'mpn_mul_1' and 'mpn_submul_1'. Each iteration usually reduces +the inputs by almost one limb. In the rare case of a large quotient, no +progress can be made by examining just the most significant two limbs, +and the quotient is computed using plain division. + + The resulting algorithm is asymptotically O(N^2), just as the +Euclidean algorithm and the binary algorithm. The quadratic part of the +work are the calls to 'mpn_mul_1' and 'mpn_submul_1'. For small sizes, +the linear work is also significant. There are roughly N calls to the +'mpn_hgcd2' function. This function uses a couple of important +optimizations: + + * It uses the same relaxed notion of correctness as 'mpn_hgcd' (see + next section). This means that when called with the most + significant two limbs of two large numbers, the returned matrix + does not always correspond exactly to the initial quotient sequence + for the two large numbers; the final quotient may sometimes be one + off. + + * It takes advantage of the fact that the quotients are usually + small. The division operator is not used, since the corresponding + assembler instruction is very slow on most architectures. (This + code could probably be improved further, it uses many branches that + are unfriendly to prediction.) + + * It switches from double-limb calculations to single-limb + calculations half-way through, when the input numbers have been + reduced in size from two limbs to one and a half. + + +File: gmp.info, Node: Subquadratic GCD, Next: Extended GCD, Prev: Lehmer's Algorithm, Up: Greatest Common Divisor Algorithms + +15.3.3 Subquadratic GCD +----------------------- + +For inputs larger than 'GCD_DC_THRESHOLD', GCD is computed via the HGCD +(Half GCD) function, as a generalization to Lehmer's algorithm. + + Let the inputs a,b be of size N limbs each. Put S = floor(N/2) + 1. +Then HGCD(a,b) returns a transformation matrix T with non-negative +elements, and reduced numbers (c;d) = T^{-1} (a;b). The reduced numbers +c,d must be larger than S limbs, while their difference abs(c-d) must +fit in S limbs. The matrix elements will also be of size roughly N/2. + + The HGCD base case uses Lehmer's algorithm, but with the above stop +condition that returns reduced numbers and the corresponding +transformation matrix half-way through. For inputs larger than +'HGCD_THRESHOLD', HGCD is computed recursively, using the divide and +conquer algorithm in "On Schönhage's algorithm and subquadratic integer +GCD computation" by Möller (*note References::). The recursive +algorithm consists of these main steps. + + * Call HGCD recursively, on the most significant N/2 limbs. Apply + the resulting matrix T_1 to the full numbers, reducing them to a + size just above 3N/2. + + * Perform a small number of division or subtraction steps to reduce + the numbers to size below 3N/2. This is essential mainly for the + unlikely case of large quotients. + + * Call HGCD recursively, on the most significant N/2 limbs of the + reduced numbers. Apply the resulting matrix T_2 to the full + numbers, reducing them to a size just above N/2. + + * Compute T = T_1 T_2. + + * Perform a small number of division and subtraction steps to satisfy + the requirements, and return. + + GCD is then implemented as a loop around HGCD, similarly to Lehmer's +algorithm. Where Lehmer repeatedly chops off the top two limbs, calls +'mpn_hgcd2', and applies the resulting matrix to the full numbers, the +sub-quadratic GCD chops off the most significant third of the limbs (the +proportion is a tuning parameter, and 1/3 seems to be more efficient +than, e.g., 1/2), calls 'mpn_hgcd', and applies the resulting matrix. +Once the input numbers are reduced to size below 'GCD_DC_THRESHOLD', +Lehmer's algorithm is used for the rest of the work. + + The asymptotic running time of both HGCD and GCD is O(M(N)*log(N)), +where M(N) is the time for multiplying two N-limb numbers. + + +File: gmp.info, Node: Extended GCD, Next: Jacobi Symbol, Prev: Subquadratic GCD, Up: Greatest Common Divisor Algorithms + +15.3.4 Extended GCD +------------------- + +The extended GCD function, or GCDEXT, calculates gcd(a,b) and also +cofactors x and y satisfying a*x+b*y=gcd(a,b). All the algorithms used +for plain GCD are extended to handle this case. The binary algorithm is +used only for single-limb GCDEXT. Lehmer's algorithm is used for sizes +up to 'GCDEXT_DC_THRESHOLD'. Above this threshold, GCDEXT is +implemented as a loop around HGCD, but with more book-keeping to keep +track of the cofactors. This gives the same asymptotic running time as +for GCD and HGCD, O(M(N)*log(N)). + + One difference to plain GCD is that while the inputs a and b are +reduced as the algorithm proceeds, the cofactors x and y grow in size. +This makes the tuning of the chopping-point more difficult. The current +code chops off the most significant half of the inputs for the call to +HGCD in the first iteration, and the most significant two thirds for the +remaining calls. This strategy could surely be improved. Also the stop +condition for the loop, where Lehmer's algorithm is invoked once the +inputs are reduced below 'GCDEXT_DC_THRESHOLD', could maybe be improved +by taking into account the current size of the cofactors. + + +File: gmp.info, Node: Jacobi Symbol, Prev: Extended GCD, Up: Greatest Common Divisor Algorithms + +15.3.5 Jacobi Symbol +-------------------- + +Jacobi symbol (A/B) + + Initially if either operand fits in a single limb, a reduction is +done with either 'mpn_mod_1' or 'mpn_modexact_1_odd', followed by the +binary algorithm on a single limb. The binary algorithm is well suited +to a single limb, and the whole calculation in this case is quite +efficient. + + For inputs larger than 'GCD_DC_THRESHOLD', 'mpz_jacobi', +'mpz_legendre' and 'mpz_kronecker' are computed via the HGCD (Half GCD) +function, as a generalization to Lehmer's algorithm. + + Most GCD algorithms reduce a and b by repeatedly computing the +quotient q = floor(a/b) and iteratively replacing + + a, b = b, a - q * b + + Different algorithms use different methods for calculating q, but the +core algorithm is the same if we use *note Lehmer's Algorithm:: or *note +HGCD: Subquadratic GCD. + + At each step it is possible to compute if the reduction inverts the +Jacobi symbol based on the two least significant bits of A and B. For +more details see "Efficient computation of the Jacobi symbol" by Möller +(*note References::). + + A small set of bits is thus used to track state + * current sign of result (1 bit) + + * two least significant bits of A and B (4 bits) + + * a pointer to which input is currently the denominator (1 bit) + + In all the routines sign changes for the result are accumulated using +fast bit twiddling which avoids conditional jumps. + + The final result is calculated after verifying the inputs are coprime +(GCD = 1) by raising (-1)^e. + + Much of the HGCD code is shared directly with the HGCD +implementations, such as the 2x2 matrix calculation, *Note Lehmer's +Algorithm:: basecase and 'GCD_DC_THRESHOLD'. + + The asymptotic running time is O(M(N)*log(N)), where M(N) is the time +for multiplying two N-limb numbers. + + +File: gmp.info, Node: Powering Algorithms, Next: Root Extraction Algorithms, Prev: Greatest Common Divisor Algorithms, Up: Algorithms + +15.4 Powering Algorithms +======================== + +* Menu: + +* Normal Powering Algorithm:: +* Modular Powering Algorithm:: + + +File: gmp.info, Node: Normal Powering Algorithm, Next: Modular Powering Algorithm, Prev: Powering Algorithms, Up: Powering Algorithms + +15.4.1 Normal Powering +---------------------- + +Normal 'mpz' or 'mpf' powering uses a simple binary algorithm, +successively squaring and then multiplying by the base when a 1 bit is +seen in the exponent, as per Knuth section 4.6.3. The "left to right" +variant described there is used rather than algorithm A, since it's just +as easy and can be done with somewhat less temporary memory. + + +File: gmp.info, Node: Modular Powering Algorithm, Prev: Normal Powering Algorithm, Up: Powering Algorithms + +15.4.2 Modular Powering +----------------------- + +Modular powering is implemented using a 2^k-ary sliding window +algorithm, as per "Handbook of Applied Cryptography" algorithm 14.85 +(*note References::). k is chosen according to the size of the +exponent. Larger exponents use larger values of k, the choice being +made to minimize the average number of multiplications that must +supplement the squaring. + + The modular multiplies and squarings use either a simple division or +the REDC method by Montgomery (*note References::). REDC is a little +faster, essentially saving N single limb divisions in a fashion similar +to an exact remainder (*note Exact Remainder::). + + +File: gmp.info, Node: Root Extraction Algorithms, Next: Radix Conversion Algorithms, Prev: Powering Algorithms, Up: Algorithms + +15.5 Root Extraction Algorithms +=============================== + +* Menu: + +* Square Root Algorithm:: +* Nth Root Algorithm:: +* Perfect Square Algorithm:: +* Perfect Power Algorithm:: + + +File: gmp.info, Node: Square Root Algorithm, Next: Nth Root Algorithm, Prev: Root Extraction Algorithms, Up: Root Extraction Algorithms + +15.5.1 Square Root +------------------ + +Square roots are taken using the "Karatsuba Square Root" algorithm by +Paul Zimmermann (*note References::). + + An input n is split into four parts of k bits each, so with b=2^k we +have n = a3*b^3 + a2*b^2 + a1*b + a0. Part a3 must be "normalized" so +that either the high or second highest bit is set. In GMP, k is kept on +a limb boundary and the input is left shifted (by an even number of +bits) to normalize. + + The square root of the high two parts is taken, by recursive +application of the algorithm (bottoming out in a one-limb Newton's +method), + + s1,r1 = sqrtrem (a3*b + a2) + + This is an approximation to the desired root and is extended by a +division to give s,r, + + q,u = divrem (r1*b + a1, 2*s1) + s = s1*b + q + r = u*b + a0 - q^2 + + The normalization requirement on a3 means at this point s is either +correct or 1 too big. r is negative in the latter case, so + + if r < 0 then + r = r + 2*s - 1 + s = s - 1 + + The algorithm is expressed in a divide and conquer form, but as noted +in the paper it can also be viewed as a discrete variant of Newton's +method, or as a variation on the schoolboy method (no longer taught) for +square roots two digits at a time. + + If the remainder r is not required then usually only a few high limbs +of r and u need to be calculated to determine whether an adjustment to s +is required. This optimization is not currently implemented. + + In the Karatsuba multiplication range this algorithm is +O(1.5*M(N/2)), where M(n) is the time to multiply two numbers of n +limbs. In the FFT multiplication range this grows to a bound of +O(6*M(N/2)). In practice a factor of about 1.5 to 1.8 is found in the +Karatsuba and Toom-3 ranges, growing to 2 or 3 in the FFT range. + + The algorithm does all its calculations in integers and the resulting +'mpn_sqrtrem' is used for both 'mpz_sqrt' and 'mpf_sqrt'. The extended +precision given by 'mpf_sqrt_ui' is obtained by padding with zero limbs. + + +File: gmp.info, Node: Nth Root Algorithm, Next: Perfect Square Algorithm, Prev: Square Root Algorithm, Up: Root Extraction Algorithms + +15.5.2 Nth Root +--------------- + +Integer Nth roots are taken using Newton's method with the following +iteration, where A is the input and n is the root to be taken. + + 1 A + a[i+1] = - * ( --------- + (n-1)*a[i] ) + n a[i]^(n-1) + + The initial approximation a[1] is generated bitwise by successively +powering a trial root with or without new 1 bits, aiming to be just +above the true root. The iteration converges quadratically when started +from a good approximation. When n is large more initial bits are needed +to get good convergence. The current implementation is not particularly +well optimized. + + +File: gmp.info, Node: Perfect Square Algorithm, Next: Perfect Power Algorithm, Prev: Nth Root Algorithm, Up: Root Extraction Algorithms + +15.5.3 Perfect Square +--------------------- + +A significant fraction of non-squares can be quickly identified by +checking whether the input is a quadratic residue modulo small integers. + + 'mpz_perfect_square_p' first tests the input mod 256, which means +just examining the low byte. Only 44 different values occur for squares +mod 256, so 82.8% of inputs can be immediately identified as +non-squares. + + On a 32-bit system similar tests are done mod 9, 5, 7, 13 and 17, for +a total 99.25% of inputs identified as non-squares. On a 64-bit system +97 is tested too, for a total 99.62%. + + These moduli are chosen because they're factors of 2^24-1 (or 2^48-1 +for 64-bits), and such a remainder can be quickly taken just using +additions (see 'mpn_mod_34lsub1'). + + When nails are in use moduli are instead selected by the 'gen-psqr.c' +program and applied with an 'mpn_mod_1'. The same 2^24-1 or 2^48-1 +could be done with nails using some extra bit shifts, but this is not +currently implemented. + + In any case each modulus is applied to the 'mpn_mod_34lsub1' or +'mpn_mod_1' remainder and a table lookup identifies non-squares. By +using a "modexact" style calculation, and suitably permuted tables, just +one multiply each is required, see the code for details. Moduli are +also combined to save operations, so long as the lookup tables don't +become too big. 'gen-psqr.c' does all the pre-calculations. + + A square root must still be taken for any value that passes these +tests, to verify it's really a square and not one of the small fraction +of non-squares that get through (i.e. a pseudo-square to all the tested +bases). + + Clearly more residue tests could be done, 'mpz_perfect_square_p' only +uses a compact and efficient set. Big inputs would probably benefit +from more residue testing, small inputs might be better off with less. +The assumed distribution of squares versus non-squares in the input +would affect such considerations. + + +File: gmp.info, Node: Perfect Power Algorithm, Prev: Perfect Square Algorithm, Up: Root Extraction Algorithms + +15.5.4 Perfect Power +-------------------- + +Detecting perfect powers is required by some factorization algorithms. +Currently 'mpz_perfect_power_p' is implemented using repeated Nth root +extractions, though naturally only prime roots need to be considered. +(*Note Nth Root Algorithm::.) + + If a prime divisor p with multiplicity e can be found, then only +roots which are divisors of e need to be considered, much reducing the +work necessary. To this end divisibility by a set of small primes is +checked. + + +File: gmp.info, Node: Radix Conversion Algorithms, Next: Other Algorithms, Prev: Root Extraction Algorithms, Up: Algorithms + +15.6 Radix Conversion +===================== + +Radix conversions are less important than other algorithms. A program +dominated by conversions should probably use a different data +representation. + +* Menu: + +* Binary to Radix:: +* Radix to Binary:: + + +File: gmp.info, Node: Binary to Radix, Next: Radix to Binary, Prev: Radix Conversion Algorithms, Up: Radix Conversion Algorithms + +15.6.1 Binary to Radix +---------------------- + +Conversions from binary to a power-of-2 radix use a simple and fast O(N) +bit extraction algorithm. + + Conversions from binary to other radices use one of two algorithms. +Sizes below 'GET_STR_PRECOMPUTE_THRESHOLD' use a basic O(N^2) method. +Repeated divisions by b^n are made, where b is the radix and n is the +biggest power that fits in a limb. But instead of simply using the +remainder r from such divisions, an extra divide step is done to give a +fractional limb representing r/b^n. The digits of r can then be +extracted using multiplications by b rather than divisions. Special +case code is provided for decimal, allowing multiplications by 10 to +optimize to shifts and adds. + + Above 'GET_STR_PRECOMPUTE_THRESHOLD' a sub-quadratic algorithm is +used. For an input t, powers b^(n*2^i) of the radix are calculated, +until a power between t and sqrt(t) is reached. t is then divided by +that largest power, giving a quotient which is the digits above that +power, and a remainder which is those below. These two parts are in +turn divided by the second highest power, and so on recursively. When a +piece has been divided down to less than 'GET_STR_DC_THRESHOLD' limbs, +the basecase algorithm described above is used. + + The advantage of this algorithm is that big divisions can make use of +the sub-quadratic divide and conquer division (*note Divide and Conquer +Division::), and big divisions tend to have less overheads than lots of +separate single limb divisions anyway. But in any case the cost of +calculating the powers b^(n*2^i) must first be overcome. + + 'GET_STR_PRECOMPUTE_THRESHOLD' and 'GET_STR_DC_THRESHOLD' represent +the same basic thing, the point where it becomes worth doing a big +division to cut the input in half. 'GET_STR_PRECOMPUTE_THRESHOLD' +includes the cost of calculating the radix power required, whereas +'GET_STR_DC_THRESHOLD' assumes that's already available, which is the +case when recursing. + + Since the base case produces digits from least to most significant +but they want to be stored from most to least, it's necessary to +calculate in advance how many digits there will be, or at least be sure +not to underestimate that. For GMP the number of input bits is +multiplied by 'chars_per_bit_exactly' from 'mp_bases', rounding up. The +result is either correct or one too big. + + Examining some of the high bits of the input could increase the +chance of getting the exact number of digits, but an exact result every +time would not be practical, since in general the difference between +numbers 100... and 99... is only in the last few bits and the work to +identify 99... might well be almost as much as a full conversion. + + The r/b^n scheme described above for using multiplications to bring +out digits might be useful for more than a single limb. Some brief +experiments with it on the base case when recursing didn't give a +noticeable improvement, but perhaps that was only due to the +implementation. Something similar would work for the sub-quadratic +divisions too, though there would be the cost of calculating a bigger +radix power. + + Another possible improvement for the sub-quadratic part would be to +arrange for radix powers that balanced the sizes of quotient and +remainder produced, i.e. the highest power would be an b^(n*k) +approximately equal to sqrt(t), not restricted to a 2^i factor. That +ought to smooth out a graph of times against sizes, but may or may not +be a net speedup. + + +File: gmp.info, Node: Radix to Binary, Prev: Binary to Radix, Up: Radix Conversion Algorithms + +15.6.2 Radix to Binary +---------------------- + +*This section needs to be rewritten, it currently describes the +algorithms used before GMP 4.3.* + + Conversions from a power-of-2 radix into binary use a simple and fast +O(N) bitwise concatenation algorithm. + + Conversions from other radices use one of two algorithms. Sizes +below 'SET_STR_PRECOMPUTE_THRESHOLD' use a basic O(N^2) method. Groups +of n digits are converted to limbs, where n is the biggest power of the +base b which will fit in a limb, then those groups are accumulated into +the result by multiplying by b^n and adding. This saves multi-precision +operations, as per Knuth section 4.4 part E (*note References::). Some +special case code is provided for decimal, giving the compiler a chance +to optimize multiplications by 10. + + Above 'SET_STR_PRECOMPUTE_THRESHOLD' a sub-quadratic algorithm is +used. First groups of n digits are converted into limbs. Then adjacent +limbs are combined into limb pairs with x*b^n+y, where x and y are the +limbs. Adjacent limb pairs are combined into quads similarly with +x*b^(2n)+y. This continues until a single block remains, that being the +result. + + The advantage of this method is that the multiplications for each x +are big blocks, allowing Karatsuba and higher algorithms to be used. +But the cost of calculating the powers b^(n*2^i) must be overcome. +'SET_STR_PRECOMPUTE_THRESHOLD' usually ends up quite big, around 5000 +digits, and on some processors much bigger still. + + 'SET_STR_PRECOMPUTE_THRESHOLD' is based on the input digits (and +tuned for decimal), though it might be better based on a limb count, so +as to be independent of the base. But that sort of count isn't used by +the base case and so would need some sort of initial calculation or +estimate. + + The main reason 'SET_STR_PRECOMPUTE_THRESHOLD' is so much bigger than +the corresponding 'GET_STR_PRECOMPUTE_THRESHOLD' is that 'mpn_mul_1' is +much faster than 'mpn_divrem_1' (often by a factor of 5, or more). + + +File: gmp.info, Node: Other Algorithms, Next: Assembly Coding, Prev: Radix Conversion Algorithms, Up: Algorithms + +15.7 Other Algorithms +===================== + +* Menu: + +* Prime Testing Algorithm:: +* Factorial Algorithm:: +* Binomial Coefficients Algorithm:: +* Fibonacci Numbers Algorithm:: +* Lucas Numbers Algorithm:: +* Random Number Algorithms:: + + +File: gmp.info, Node: Prime Testing Algorithm, Next: Factorial Algorithm, Prev: Other Algorithms, Up: Other Algorithms + +15.7.1 Prime Testing +-------------------- + +The primality testing in 'mpz_probab_prime_p' (*note Number Theoretic +Functions::) first does some trial division by small factors and then +uses the Miller-Rabin probabilistic primality testing algorithm, as +described in Knuth section 4.5.4 algorithm P (*note References::). + + For an odd input n, and with n = q*2^k+1 where q is odd, this +algorithm selects a random base x and tests whether x^q mod n is 1 or +-1, or an x^(q*2^j) mod n is 1, for 1<=j<=k. If so then n is probably +prime, if not then n is definitely composite. + + Any prime n will pass the test, but some composites do too. Such +composites are known as strong pseudoprimes to base x. No n is a strong +pseudoprime to more than 1/4 of all bases (see Knuth exercise 22), hence +with x chosen at random there's no more than a 1/4 chance a "probable +prime" will in fact be composite. + + In fact strong pseudoprimes are quite rare, making the test much more +powerful than this analysis would suggest, but 1/4 is all that's proven +for an arbitrary n. + + +File: gmp.info, Node: Factorial Algorithm, Next: Binomial Coefficients Algorithm, Prev: Prime Testing Algorithm, Up: Other Algorithms + +15.7.2 Factorial +---------------- + +Factorials are calculated by a combination of two algorithms. An idea +is shared among them: to compute the odd part of the factorial; a final +step takes account of the power of 2 term, by shifting. + + For small n, the odd factor of n! is computed with the simple +observation that it is equal to the product of all positive odd numbers +smaller than n times the odd factor of [n/2]!, where [x] is the integer +part of x, and so on recursively. The procedure can be best illustrated +with an example, + + 23! = (23.21.19.17.15.13.11.9.7.5.3)(11.9.7.5.3)(5.3)2^{19} + + Current code collects all the factors in a single list, with a loop +and no recursion, and computes the product, with no special care for +repeated chunks. + + When n is larger, computations pass through prime sieving. A helper +function is used, as suggested by Peter Luschny: + + n + ----- + n! | | L(p,n) + msf(n) = -------------- = | | p + [n/2]!^2.2^k p=3 + + Where p ranges on odd prime numbers. The exponent k is chosen to +obtain an odd integer number: k is the number of 1 bits in the binary +representation of [n/2]. The function L(p,n) can be defined as zero +when p is composite, and, for any prime p, it is computed with: + + --- + \ n + L(p,n) = / [---] mod 2 <= log (n) . + --- p^i p + i>0 + + With this helper function, we are able to compute the odd part of n! +using the recursion implied by n!=[n/2]!^2*msf(n)*2^k. The recursion +stops using the small-n algorithm on some [n/2^i]. + + Both the above algorithms use binary splitting to compute the product +of many small factors. At first as many products as possible are +accumulated in a single register, generating a list of factors that fit +in a machine word. This list is then split into halves, and the product +is computed recursively. + + Such splitting is more efficient than repeated Nx1 multiplies since +it forms big multiplies, allowing Karatsuba and higher algorithms to be +used. And even below the Karatsuba threshold a big block of work can be +more efficient for the basecase algorithm. + + +File: gmp.info, Node: Binomial Coefficients Algorithm, Next: Fibonacci Numbers Algorithm, Prev: Factorial Algorithm, Up: Other Algorithms + +15.7.3 Binomial Coefficients +---------------------------- + +Binomial coefficients C(n,k) are calculated by first arranging k <= n/2 +using C(n,k) = C(n,n-k) if necessary, and then evaluating the following +product simply from i=2 to i=k. + + k (n-k+i) + C(n,k) = (n-k+1) * prod ------- + i=2 i + + It's easy to show that each denominator i will divide the product so +far, so the exact division algorithm is used (*note Exact Division::). + + The numerators n-k+i and denominators i are first accumulated into as +many fit a limb, to save multi-precision operations, though for +'mpz_bin_ui' this applies only to the divisors, since n is an 'mpz_t' +and n-k+i in general won't fit in a limb at all. + + +File: gmp.info, Node: Fibonacci Numbers Algorithm, Next: Lucas Numbers Algorithm, Prev: Binomial Coefficients Algorithm, Up: Other Algorithms + +15.7.4 Fibonacci Numbers +------------------------ + +The Fibonacci functions 'mpz_fib_ui' and 'mpz_fib2_ui' are designed for +calculating isolated F[n] or F[n],F[n-1] values efficiently. + + For small n, a table of single limb values in '__gmp_fib_table' is +used. On a 32-bit limb this goes up to F[47], or on a 64-bit limb up to +F[93]. For convenience the table starts at F[-1]. + + Beyond the table, values are generated with a binary powering +algorithm, calculating a pair F[n] and F[n-1] working from high to low +across the bits of n. The formulas used are + + F[2k+1] = 4*F[k]^2 - F[k-1]^2 + 2*(-1)^k + F[2k-1] = F[k]^2 + F[k-1]^2 + + F[2k] = F[2k+1] - F[2k-1] + + At each step, k is the high b bits of n. If the next bit of n is 0 +then F[2k],F[2k-1] is used, or if it's a 1 then F[2k+1],F[2k] is used, +and the process repeated until all bits of n are incorporated. Notice +these formulas require just two squares per bit of n. + + It'd be possible to handle the first few n above the single limb +table with simple additions, using the defining Fibonacci recurrence +F[k+1]=F[k]+F[k-1], but this is not done since it usually turns out to +be faster for only about 10 or 20 values of n, and including a block of +code for just those doesn't seem worthwhile. If they really mattered +it'd be better to extend the data table. + + Using a table avoids lots of calculations on small numbers, and makes +small n go fast. A bigger table would make more small n go fast, it's +just a question of balancing size against desired speed. For GMP the +code is kept compact, with the emphasis primarily on a good powering +algorithm. + + 'mpz_fib2_ui' returns both F[n] and F[n-1], but 'mpz_fib_ui' is only +interested in F[n]. In this case the last step of the algorithm can +become one multiply instead of two squares. One of the following two +formulas is used, according as n is odd or even. + + F[2k] = F[k]*(F[k]+2F[k-1]) + + F[2k+1] = (2F[k]+F[k-1])*(2F[k]-F[k-1]) + 2*(-1)^k + + F[2k+1] here is the same as above, just rearranged to be a multiply. +For interest, the 2*(-1)^k term both here and above can be applied just +to the low limb of the calculation, without a carry or borrow into +further limbs, which saves some code size. See comments with +'mpz_fib_ui' and the internal 'mpn_fib2_ui' for how this is done. + + +File: gmp.info, Node: Lucas Numbers Algorithm, Next: Random Number Algorithms, Prev: Fibonacci Numbers Algorithm, Up: Other Algorithms + +15.7.5 Lucas Numbers +-------------------- + +'mpz_lucnum2_ui' derives a pair of Lucas numbers from a pair of +Fibonacci numbers with the following simple formulas. + + L[k] = F[k] + 2*F[k-1] + L[k-1] = 2*F[k] - F[k-1] + + 'mpz_lucnum_ui' is only interested in L[n], and some work can be +saved. Trailing zero bits on n can be handled with a single square +each. + + L[2k] = L[k]^2 - 2*(-1)^k + + And the lowest 1 bit can be handled with one multiply of a pair of +Fibonacci numbers, similar to what 'mpz_fib_ui' does. + + L[2k+1] = 5*F[k-1]*(2*F[k]+F[k-1]) - 4*(-1)^k + + +File: gmp.info, Node: Random Number Algorithms, Prev: Lucas Numbers Algorithm, Up: Other Algorithms + +15.7.6 Random Numbers +--------------------- + +For the 'urandomb' functions, random numbers are generated simply by +concatenating bits produced by the generator. As long as the generator +has good randomness properties this will produce well-distributed N bit +numbers. + + For the 'urandomm' functions, random numbers in a range 0<=R48 bit pieces is convenient. With some +care though six 21x32->53 bit products can be used, if one of the lower +two 21-bit pieces also uses the sign bit. + + For the 'mpn_mul_1' family of functions on a 64-bit machine, the +invariant single limb is split at the start, into 3 or 4 pieces. Inside +the loop, the bignum operand is split into 32-bit pieces. Fast +conversion of these unsigned 32-bit pieces to floating point is highly +machine-dependent. In some cases, reading the data into the integer +unit, zero-extending to 64-bits, then transferring to the floating point +unit back via memory is the only option. + + Converting partial products back to 64-bit limbs is usually best done +as a signed conversion. Since all values are smaller than 2^53, signed +and unsigned are the same, but most processors lack unsigned +conversions. + + + + Here is a diagram showing 16x32 bit products for an 'mpn_mul_1' or +'mpn_addmul_1' with a 64-bit limb. The single limb operand V is split +into four 16-bit parts. The multi-limb operand U is split in the loop +into two 32-bit parts. + + +---+---+---+---+ + |v48|v32|v16|v00| V operand + +---+---+---+---+ + + +-------+---+---+ + x | u32 | u00 | U operand (one limb) + +---------------+ + + --------------------------------- + + +-----------+ + | u00 x v00 | p00 48-bit products + +-----------+ + +-----------+ + | u00 x v16 | p16 + +-----------+ + +-----------+ + | u00 x v32 | p32 + +-----------+ + +-----------+ + | u00 x v48 | p48 + +-----------+ + +-----------+ + | u32 x v00 | r32 + +-----------+ + +-----------+ + | u32 x v16 | r48 + +-----------+ + +-----------+ + | u32 x v32 | r64 + +-----------+ + +-----------+ + | u32 x v48 | r80 + +-----------+ + + p32 and r32 can be summed using floating-point addition, and likewise +p48 and r48. p00 and p16 can be summed with r64 and r80 from the +previous iteration. + + For each loop then, four 49-bit quantities are transferred to the +integer unit, aligned as follows, + + |-----64bits----|-----64bits----| + +------------+ + | p00 + r64' | i00 + +------------+ + +------------+ + | p16 + r80' | i16 + +------------+ + +------------+ + | p32 + r32 | i32 + +------------+ + +------------+ + | p48 + r48 | i48 + +------------+ + + The challenge then is to sum these efficiently and add in a carry +limb, generating a low 64-bit result limb and a high 33-bit carry limb +(i48 extends 33 bits into the high half). + + +File: gmp.info, Node: Assembly SIMD Instructions, Next: Assembly Software Pipelining, Prev: Assembly Floating Point, Up: Assembly Coding + +15.8.7 SIMD Instructions +------------------------ + +The single-instruction multiple-data support in current microprocessors +is aimed at signal processing algorithms where each data point can be +treated more or less independently. There's generally not much support +for propagating the sort of carries that arise in GMP. + + SIMD multiplications of say four 16x16 bit multiplies only do as much +work as one 32x32 from GMP's point of view, and need some shifts and +adds besides. But of course if say the SIMD form is fully pipelined and +uses less instruction decoding then it may still be worthwhile. + + On the x86 chips, MMX has so far found a use in 'mpn_rshift' and +'mpn_lshift', and is used in a special case for 16-bit multipliers in +the P55 'mpn_mul_1'. SSE2 is used for Pentium 4 'mpn_mul_1', +'mpn_addmul_1', and 'mpn_submul_1'. + + +File: gmp.info, Node: Assembly Software Pipelining, Next: Assembly Loop Unrolling, Prev: Assembly SIMD Instructions, Up: Assembly Coding + +15.8.8 Software Pipelining +-------------------------- + +Software pipelining consists of scheduling instructions around the +branch point in a loop. For example a loop might issue a load not for +use in the present iteration but the next, thereby allowing extra cycles +for the data to arrive from memory. + + Naturally this is wanted only when doing things like loads or +multiplies that take several cycles to complete, and only where a CPU +has multiple functional units so that other work can be done in the +meantime. + + A pipeline with several stages will have a data value in progress at +each stage and each loop iteration moves them along one stage. This is +like juggling. + + If the latency of some instruction is greater than the loop time then +it will be necessary to unroll, so one register has a result ready to +use while another (or multiple others) are still in progress (*note +Assembly Loop Unrolling::). + + +File: gmp.info, Node: Assembly Loop Unrolling, Next: Assembly Writing Guide, Prev: Assembly Software Pipelining, Up: Assembly Coding + +15.8.9 Loop Unrolling +--------------------- + +Loop unrolling consists of replicating code so that several limbs are +processed in each loop. At a minimum this reduces loop overheads by a +corresponding factor, but it can also allow better register usage, for +example alternately using one register combination and then another. +Judicious use of 'm4' macros can help avoid lots of duplication in the +source code. + + Any amount of unrolling can be handled with a loop counter that's +decremented by N each time, stopping when the remaining count is less +than the further N the loop will process. Or by subtracting N at the +start, the termination condition becomes when the counter C is less than +0 (and the count of remaining limbs is C+N). + + Alternately for a power of 2 unroll the loop count and remainder can +be established with a shift and mask. This is convenient if also making +a computed jump into the middle of a large loop. + + The limbs not a multiple of the unrolling can be handled in various +ways, for example + + * A simple loop at the end (or the start) to process the excess. + Care will be wanted that it isn't too much slower than the unrolled + part. + + * A set of binary tests, for example after an 8-limb unrolling, test + for 4 more limbs to process, then a further 2 more or not, and + finally 1 more or not. This will probably take more code space + than a simple loop. + + * A 'switch' statement, providing separate code for each possible + excess, for example an 8-limb unrolling would have separate code + for 0 remaining, 1 remaining, etc, up to 7 remaining. This might + take a lot of code, but may be the best way to optimize all cases + in combination with a deep pipelined loop. + + * A computed jump into the middle of the loop, thus making the first + iteration handle the excess. This should make times smoothly + increase with size, which is attractive, but setups for the jump + and adjustments for pointers can be tricky and could become quite + difficult in combination with deep pipelining. + + +File: gmp.info, Node: Assembly Writing Guide, Prev: Assembly Loop Unrolling, Up: Assembly Coding + +15.8.10 Writing Guide +--------------------- + +This is a guide to writing software pipelined loops for processing limb +vectors in assembly. + + First determine the algorithm and which instructions are needed. +Code it without unrolling or scheduling, to make sure it works. On a +3-operand CPU try to write each new value to a new register, this will +greatly simplify later steps. + + Then note for each instruction the functional unit and/or issue port +requirements. If an instruction can use either of two units, like U0 or +U1 then make a category "U0/U1". Count the total using each unit (or +combined unit), and count all instructions. + + Figure out from those counts the best possible loop time. The goal +will be to find a perfect schedule where instruction latencies are +completely hidden. The total instruction count might be the limiting +factor, or perhaps a particular functional unit. It might be possible +to tweak the instructions to help the limiting factor. + + Suppose the loop time is N, then make N issue buckets, with the final +loop branch at the end of the last. Now fill the buckets with dummy +instructions using the functional units desired. Run this to make sure +the intended speed is reached. + + Now replace the dummy instructions with the real instructions from +the slow but correct loop you started with. The first will typically be +a load instruction. Then the instruction using that value is placed in +a bucket an appropriate distance down. Run the loop again, to check it +still runs at target speed. + + Keep placing instructions, frequently measuring the loop. After a +few you will need to wrap around from the last bucket back to the top of +the loop. If you used the new-register for new-value strategy above +then there will be no register conflicts. If not then take care not to +clobber something already in use. Changing registers at this time is +very error prone. + + The loop will overlap two or more of the original loop iterations, +and the computation of one vector element result will be started in one +iteration of the new loop, and completed one or several iterations +later. + + The final step is to create feed-in and wind-down code for the loop. +A good way to do this is to make a copy (or copies) of the loop at the +start and delete those instructions which don't have valid antecedents, +and at the end replicate and delete those whose results are unwanted +(including any further loads). + + The loop will have a minimum number of limbs loaded and processed, so +the feed-in code must test if the request size is smaller and skip +either to a suitable part of the wind-down or to special code for small +sizes. + + +File: gmp.info, Node: Internals, Next: Contributors, Prev: Algorithms, Up: Top + +16 Internals +************ + +*This chapter is provided only for informational purposes and the +various internals described here may change in future GMP releases. +Applications expecting to be compatible with future releases should use +only the documented interfaces described in previous chapters.* + +* Menu: + +* Integer Internals:: +* Rational Internals:: +* Float Internals:: +* Raw Output Internals:: +* C++ Interface Internals:: + + +File: gmp.info, Node: Integer Internals, Next: Rational Internals, Prev: Internals, Up: Internals + +16.1 Integer Internals +====================== + +'mpz_t' variables represent integers using sign and magnitude, in space +dynamically allocated and reallocated. The fields are as follows. + +'_mp_size' + The number of limbs, or the negative of that when representing a + negative integer. Zero is represented by '_mp_size' set to zero, + in which case the '_mp_d' data is undefined. + +'_mp_d' + A pointer to an array of limbs which is the magnitude. These are + stored "little endian" as per the 'mpn' functions, so '_mp_d[0]' is + the least significant limb and '_mp_d[ABS(_mp_size)-1]' is the most + significant. Whenever '_mp_size' is non-zero, the most significant + limb is non-zero. + + Currently there's always at least one readable limb, so for + instance 'mpz_get_ui' can fetch '_mp_d[0]' unconditionally (though + its value is undefined if '_mp_size' is zero). + +'_mp_alloc' + '_mp_alloc' is the number of limbs currently allocated at '_mp_d', + and normally '_mp_alloc >= ABS(_mp_size)'. When an 'mpz' routine + is about to (or might be about to) increase '_mp_size', it checks + '_mp_alloc' to see whether there's enough space, and reallocates if + not. 'MPZ_REALLOC' is generally used for this. + + 'mpz_t' variables initialised with the 'mpz_roinit_n' function or + the 'MPZ_ROINIT_N' macro have '_mp_alloc = 0' but can have a + non-zero '_mp_size'. They can only be used as read-only constants. + See *note Integer Special Functions:: for details. + + The various bitwise logical functions like 'mpz_and' behave as if +negative values were two's complement. But sign and magnitude is always +used internally, and necessary adjustments are made during the +calculations. Sometimes this isn't pretty, but sign and magnitude are +best for other routines. + + Some internal temporary variables are set up with 'MPZ_TMP_INIT' and +these have '_mp_d' space obtained from 'TMP_ALLOC' rather than the +memory allocation functions. Care is taken to ensure that these are big +enough that no reallocation is necessary (since it would have +unpredictable consequences). + + '_mp_size' and '_mp_alloc' are 'int', although 'mp_size_t' is usually +a 'long'. This is done to make the fields just 32 bits on some 64 bits +systems, thereby saving a few bytes of data space but still providing +plenty of range. + + +File: gmp.info, Node: Rational Internals, Next: Float Internals, Prev: Integer Internals, Up: Internals + +16.2 Rational Internals +======================= + +'mpq_t' variables represent rationals using an 'mpz_t' numerator and +denominator (*note Integer Internals::). + + The canonical form adopted is denominator positive (and non-zero), no +common factors between numerator and denominator, and zero uniquely +represented as 0/1. + + It's believed that casting out common factors at each stage of a +calculation is best in general. A GCD is an O(N^2) operation so it's +better to do a few small ones immediately than to delay and have to do a +big one later. Knowing the numerator and denominator have no common +factors can be used for example in 'mpq_mul' to make only two cross GCDs +necessary, not four. + + This general approach to common factors is badly sub-optimal in the +presence of simple factorizations or little prospect for cancellation, +but GMP has no way to know when this will occur. As per *note +Efficiency::, that's left to applications. The 'mpq_t' framework might +still suit, with 'mpq_numref' and 'mpq_denref' for direct access to the +numerator and denominator, or of course 'mpz_t' variables can be used +directly. + + +File: gmp.info, Node: Float Internals, Next: Raw Output Internals, Prev: Rational Internals, Up: Internals + +16.3 Float Internals +==================== + +Efficient calculation is the primary aim of GMP floats and the use of +whole limbs and simple rounding facilitates this. + + 'mpf_t' floats have a variable precision mantissa and a single +machine word signed exponent. The mantissa is represented using sign +and magnitude. + + most least + significant significant + limb limb + + _mp_d + |---- _mp_exp ---> | + _____ _____ _____ _____ _____ + |_____|_____|_____|_____|_____| + . <------------ radix point + + <-------- _mp_size ---------> + + +The fields are as follows. + +'_mp_size' + The number of limbs currently in use, or the negative of that when + representing a negative value. Zero is represented by '_mp_size' + and '_mp_exp' both set to zero, and in that case the '_mp_d' data + is unused. (In the future '_mp_exp' might be undefined when + representing zero.) + +'_mp_prec' + The precision of the mantissa, in limbs. In any calculation the + aim is to produce '_mp_prec' limbs of result (the most significant + being non-zero). + +'_mp_d' + A pointer to the array of limbs which is the absolute value of the + mantissa. These are stored "little endian" as per the 'mpn' + functions, so '_mp_d[0]' is the least significant limb and + '_mp_d[ABS(_mp_size)-1]' the most significant. + + The most significant limb is always non-zero, but there are no + other restrictions on its value, in particular the highest 1 bit + can be anywhere within the limb. + + '_mp_prec+1' limbs are allocated to '_mp_d', the extra limb being + for convenience (see below). There are no reallocations during a + calculation, only in a change of precision with 'mpf_set_prec'. + +'_mp_exp' + The exponent, in limbs, determining the location of the implied + radix point. Zero means the radix point is just above the most + significant limb. Positive values mean a radix point offset + towards the lower limbs and hence a value >= 1, as for example in + the diagram above. Negative exponents mean a radix point further + above the highest limb. + + Naturally the exponent can be any value, it doesn't have to fall + within the limbs as the diagram shows, it can be a long way above + or a long way below. Limbs other than those included in the + '{_mp_d,_mp_size}' data are treated as zero. + + The '_mp_size' and '_mp_prec' fields are 'int', although the +'mp_size_t' type is usually a 'long'. The '_mp_exp' field is usually +'long'. This is done to make some fields just 32 bits on some 64 bits +systems, thereby saving a few bytes of data space but still providing +plenty of precision and a very large range. + + +The following various points should be noted. + +Low Zeros + The least significant limbs '_mp_d[0]' etc can be zero, though such + low zeros can always be ignored. Routines likely to produce low + zeros check and avoid them to save time in subsequent calculations, + but for most routines they're quite unlikely and aren't checked. + +Mantissa Size Range + The '_mp_size' count of limbs in use can be less than '_mp_prec' if + the value can be represented in less. This means low precision + values or small integers stored in a high precision 'mpf_t' can + still be operated on efficiently. + + '_mp_size' can also be greater than '_mp_prec'. Firstly a value is + allowed to use all of the '_mp_prec+1' limbs available at '_mp_d', + and secondly when 'mpf_set_prec_raw' lowers '_mp_prec' it leaves + '_mp_size' unchanged and so the size can be arbitrarily bigger than + '_mp_prec'. + +Rounding + All rounding is done on limb boundaries. Calculating '_mp_prec' + limbs with the high non-zero will ensure the application requested + minimum precision is obtained. + + The use of simple "trunc" rounding towards zero is efficient, since + there's no need to examine extra limbs and increment or decrement. + +Bit Shifts + Since the exponent is in limbs, there are no bit shifts in basic + operations like 'mpf_add' and 'mpf_mul'. When differing exponents + are encountered all that's needed is to adjust pointers to line up + the relevant limbs. + + Of course 'mpf_mul_2exp' and 'mpf_div_2exp' will require bit + shifts, but the choice is between an exponent in limbs which + requires shifts there, or one in bits which requires them almost + everywhere else. + +Use of '_mp_prec+1' Limbs + The extra limb on '_mp_d' ('_mp_prec+1' rather than just + '_mp_prec') helps when an 'mpf' routine might get a carry from its + operation. 'mpf_add' for instance will do an 'mpn_add' of + '_mp_prec' limbs. If there's no carry then that's the result, but + if there is a carry then it's stored in the extra limb of space and + '_mp_size' becomes '_mp_prec+1'. + + Whenever '_mp_prec+1' limbs are held in a variable, the low limb is + not needed for the intended precision, only the '_mp_prec' high + limbs. But zeroing it out or moving the rest down is unnecessary. + Subsequent routines reading the value will simply take the high + limbs they need, and this will be '_mp_prec' if their target has + that same precision. This is no more than a pointer adjustment, + and must be checked anyway since the destination precision can be + different from the sources. + + Copy functions like 'mpf_set' will retain a full '_mp_prec+1' limbs + if available. This ensures that a variable which has '_mp_size' + equal to '_mp_prec+1' will get its full exact value copied. + Strictly speaking this is unnecessary since only '_mp_prec' limbs + are needed for the application's requested precision, but it's + considered that an 'mpf_set' from one variable into another of the + same precision ought to produce an exact copy. + +Application Precisions + '__GMPF_BITS_TO_PREC' converts an application requested precision + to an '_mp_prec'. The value in bits is rounded up to a whole limb + then an extra limb is added since the most significant limb of + '_mp_d' is only non-zero and therefore might contain only one bit. + + '__GMPF_PREC_TO_BITS' does the reverse conversion, and removes the + extra limb from '_mp_prec' before converting to bits. The net + effect of reading back with 'mpf_get_prec' is simply the precision + rounded up to a multiple of 'mp_bits_per_limb'. + + Note that the extra limb added here for the high only being + non-zero is in addition to the extra limb allocated to '_mp_d'. + For example with a 32-bit limb, an application request for 250 bits + will be rounded up to 8 limbs, then an extra added for the high + being only non-zero, giving an '_mp_prec' of 9. '_mp_d' then gets + 10 limbs allocated. Reading back with 'mpf_get_prec' will take + '_mp_prec' subtract 1 limb and multiply by 32, giving 256 bits. + + Strictly speaking, the fact that the high limb has at least one bit + means that a float with, say, 3 limbs of 32-bits each will be + holding at least 65 bits, but for the purposes of 'mpf_t' it's + considered simply to be 64 bits, a nice multiple of the limb size. + + +File: gmp.info, Node: Raw Output Internals, Next: C++ Interface Internals, Prev: Float Internals, Up: Internals + +16.4 Raw Output Internals +========================= + +'mpz_out_raw' uses the following format. + + +------+------------------------+ + | size | data bytes | + +------+------------------------+ + + The size is 4 bytes written most significant byte first, being the +number of subsequent data bytes, or the two's complement negative of +that when a negative integer is represented. The data bytes are the +absolute value of the integer, written most significant byte first. + + The most significant data byte is always non-zero, so the output is +the same on all systems, irrespective of limb size. + + In GMP 1, leading zero bytes were written to pad the data bytes to a +multiple of the limb size. 'mpz_inp_raw' will still accept this, for +compatibility. + + The use of "big endian" for both the size and data fields is +deliberate, it makes the data easy to read in a hex dump of a file. +Unfortunately it also means that the limb data must be reversed when +reading or writing, so neither a big endian nor little endian system can +just read and write '_mp_d'. + + +File: gmp.info, Node: C++ Interface Internals, Prev: Raw Output Internals, Up: Internals + +16.5 C++ Interface Internals +============================ + +A system of expression templates is used to ensure something like +'a=b+c' turns into a simple call to 'mpz_add' etc. For 'mpf_class' the +scheme also ensures the precision of the final destination is used for +any temporaries within a statement like 'f=w*x+y*z'. These are +important features which a naive implementation cannot provide. + + A simplified description of the scheme follows. The true scheme is +complicated by the fact that expressions have different return types. +For detailed information, refer to the source code. + + To perform an operation, say, addition, we first define a "function +object" evaluating it, + + struct __gmp_binary_plus + { + static void eval(mpf_t f, const mpf_t g, const mpf_t h) + { + mpf_add(f, g, h); + } + }; + +And an "additive expression" object, + + __gmp_expr<__gmp_binary_expr > + operator+(const mpf_class &f, const mpf_class &g) + { + return __gmp_expr + <__gmp_binary_expr >(f, g); + } + + The seemingly redundant '__gmp_expr<__gmp_binary_expr<...>>' is used +to encapsulate any possible kind of expression into a single template +type. In fact even 'mpf_class' etc are 'typedef' specializations of +'__gmp_expr'. + + Next we define assignment of '__gmp_expr' to 'mpf_class'. + + template + mpf_class & mpf_class::operator=(const __gmp_expr &expr) + { + expr.eval(this->get_mpf_t(), this->precision()); + return *this; + } + + template + void __gmp_expr<__gmp_binary_expr >::eval + (mpf_t f, mp_bitcnt_t precision) + { + Op::eval(f, expr.val1.get_mpf_t(), expr.val2.get_mpf_t()); + } + + where 'expr.val1' and 'expr.val2' are references to the expression's +operands (here 'expr' is the '__gmp_binary_expr' stored within the +'__gmp_expr'). + + This way, the expression is actually evaluated only at the time of +assignment, when the required precision (that of 'f') is known. +Furthermore the target 'mpf_t' is now available, thus we can call +'mpf_add' directly with 'f' as the output argument. + + Compound expressions are handled by defining operators taking +subexpressions as their arguments, like this: + + template + __gmp_expr + <__gmp_binary_expr<__gmp_expr, __gmp_expr, __gmp_binary_plus> > + operator+(const __gmp_expr &expr1, const __gmp_expr &expr2) + { + return __gmp_expr + <__gmp_binary_expr<__gmp_expr, __gmp_expr, __gmp_binary_plus> > + (expr1, expr2); + } + + And the corresponding specializations of '__gmp_expr::eval': + + template + void __gmp_expr + <__gmp_binary_expr<__gmp_expr, __gmp_expr, Op> >::eval + (mpf_t f, mp_bitcnt_t precision) + { + // declare two temporaries + mpf_class temp1(expr.val1, precision), temp2(expr.val2, precision); + Op::eval(f, temp1.get_mpf_t(), temp2.get_mpf_t()); + } + + The expression is thus recursively evaluated to any level of +complexity and all subexpressions are evaluated to the precision of 'f'. + + +File: gmp.info, Node: Contributors, Next: References, Prev: Internals, Up: Top + +Appendix A Contributors +*********************** + +Torbjörn Granlund wrote the original GMP library and is still the main +developer. Code not explicitly attributed to others was contributed by +Torbjörn. Several other individuals and organizations have contributed +GMP. Here is a list in chronological order on first contribution: + + Gunnar Sjödin and Hans Riesel helped with mathematical problems in +early versions of the library. + + Richard Stallman helped with the interface design and revised the +first version of this manual. + + Brian Beuning and Doug Lea helped with testing of early versions of +the library and made creative suggestions. + + John Amanatides of York University in Canada contributed the function +'mpz_probab_prime_p'. + + Paul Zimmermann wrote the REDC-based mpz_powm code, the +Schönhage-Strassen FFT multiply code, and the Karatsuba square root +code. He also improved the Toom3 code for GMP 4.2. Paul sparked the +development of GMP 2, with his comparisons between bignum packages. The +ECMNET project Paul is organizing was a driving force behind many of the +optimizations in GMP 3. Paul also wrote the new GMP 4.3 nth root code +(with Torbjörn). + + Ken Weber (Kent State University, Universidade Federal do Rio Grande +do Sul) contributed now defunct versions of 'mpz_gcd', 'mpz_divexact', +'mpn_gcd', and 'mpn_bdivmod', partially supported by CNPq (Brazil) grant +301314194-2. + + Per Bothner of Cygnus Support helped to set up GMP to use Cygnus' +configure. He has also made valuable suggestions and tested numerous +intermediary releases. + + Joachim Hollman was involved in the design of the 'mpf' interface, +and in the 'mpz' design revisions for version 2. + + Bennet Yee contributed the initial versions of 'mpz_jacobi' and +'mpz_legendre'. + + Andreas Schwab contributed the files 'mpn/m68k/lshift.S' and +'mpn/m68k/rshift.S' (now in '.asm' form). + + Robert Harley of Inria, France and David Seal of ARM, England, +suggested clever improvements for population count. Robert also wrote +highly optimized Karatsuba and 3-way Toom multiplication functions for +GMP 3, and contributed the ARM assembly code. + + Torsten Ekedahl of the Mathematical Department of Stockholm +University provided significant inspiration during several phases of the +GMP development. His mathematical expertise helped improve several +algorithms. + + Linus Nordberg wrote the new configure system based on autoconf and +implemented the new random functions. + + Kevin Ryde worked on a large number of things: optimized x86 code, m4 +asm macros, parameter tuning, speed measuring, the configure system, +function inlining, divisibility tests, bit scanning, Jacobi symbols, +Fibonacci and Lucas number functions, printf and scanf functions, perl +interface, demo expression parser, the algorithms chapter in the manual, +'gmpasm-mode.el', and various miscellaneous improvements elsewhere. + + Kent Boortz made the Mac OS 9 port. + + Steve Root helped write the optimized alpha 21264 assembly code. + + Gerardo Ballabio wrote the 'gmpxx.h' C++ class interface and the C++ +'istream' input routines. + + Jason Moxham rewrote 'mpz_fac_ui'. + + Pedro Gimeno implemented the Mersenne Twister and made other random +number improvements. + + Niels Möller wrote the sub-quadratic GCD, extended GCD and Jacobi +code, the quadratic Hensel division code, and (with Torbjörn) the new +divide and conquer division code for GMP 4.3. Niels also helped +implement the new Toom multiply code for GMP 4.3 and implemented helper +functions to simplify Toom evaluations for GMP 5.0. He wrote the +original version of mpn_mulmod_bnm1, and he is the main author of the +mini-gmp package used for gmp bootstrapping. + + Alberto Zanoni and Marco Bodrato suggested the unbalanced multiply +strategy, and found the optimal strategies for evaluation and +interpolation in Toom multiplication. + + Marco Bodrato helped implement the new Toom multiply code for GMP 4.3 +and implemented most of the new Toom multiply and squaring code for 5.0. +He is the main author of the current mpn_mulmod_bnm1, mpn_mullo_n, and +mpn_sqrlo. Marco also wrote the functions mpn_invert and +mpn_invertappr, and improved the speed of integer root extraction. He +is the author of mini-mpq, an additional layer to mini-gmp; of most of +the combinatorial functions and the BPSW primality testing +implementation, for both the main library and the mini-gmp package. + + David Harvey suggested the internal function 'mpn_bdiv_dbm1', +implementing division relevant to Toom multiplication. He also worked +on fast assembly sequences, in particular on a fast AMD64 +'mpn_mul_basecase'. He wrote the internal middle product functions +'mpn_mulmid_basecase', 'mpn_toom42_mulmid', 'mpn_mulmid_n' and related +helper routines. + + Martin Boij wrote 'mpn_perfect_power_p'. + + Marc Glisse improved 'gmpxx.h': use fewer temporaries (faster), +specializations of 'numeric_limits' and 'common_type', C++11 features +(move constructors, explicit bool conversion, UDL), make the conversion +from 'mpq_class' to 'mpz_class' explicit, optimize operations where one +argument is a small compile-time constant, replace some heap allocations +by stack allocations. He also fixed the eofbit handling of C++ streams, +and removed one division from 'mpq/aors.c'. + + David S Miller wrote assembly code for SPARC T3 and T4. + + Mark Sofroniou cleaned up the types of mul_fft.c, letting it work for +huge operands. + + Ulrich Weigand ported GMP to the powerpc64le ABI. + + (This list is chronological, not ordered after significance. If you +have contributed to GMP but are not listed above, please tell + about the omission!) + + The development of floating point functions of GNU MP 2 was supported +in part by the ESPRIT-BRA (Basic Research Activities) 6846 project POSSO +(POlynomial System SOlving). + + The development of GMP 2, 3, and 4.0 was supported in part by the IDA +Center for Computing Sciences. + + The development of GMP 4.3, 5.0, and 5.1 was supported in part by the +Swedish Foundation for Strategic Research. + + Thanks go to Hans Thorsen for donating an SGI system for the GMP test +system environment. + + +File: gmp.info, Node: References, Next: GNU Free Documentation License, Prev: Contributors, Up: Top + +Appendix B References +********************* + +B.1 Books +========= + + * Jonathan M. Borwein and Peter B. Borwein, "Pi and the AGM: A Study + in Analytic Number Theory and Computational Complexity", Wiley, + 1998. + + * Richard Crandall and Carl Pomerance, "Prime Numbers: A + Computational Perspective", 2nd edition, Springer-Verlag, 2005. + + + * Henri Cohen, "A Course in Computational Algebraic Number Theory", + Graduate Texts in Mathematics number 138, Springer-Verlag, 1993. + + + * Donald E. Knuth, "The Art of Computer Programming", volume 2, + "Seminumerical Algorithms", 3rd edition, Addison-Wesley, 1998. + + + * John D. Lipson, "Elements of Algebra and Algebraic Computing", The + Benjamin Cummings Publishing Company Inc, 1981. + + * Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone, + "Handbook of Applied Cryptography", + + + * Richard M. Stallman and the GCC Developer Community, "Using the GNU + Compiler Collection", Free Software Foundation, 2008, available + online , and in the GCC package + + +B.2 Papers +========== + + * Yves Bertot, Nicolas Magaud and Paul Zimmermann, "A Proof of GMP + Square Root", Journal of Automated Reasoning, volume 29, 2002, pp. + 225-252. Also available online as INRIA Research Report 4475, June + 2002, + + * Christoph Burnikel and Joachim Ziegler, "Fast Recursive Division", + Max-Planck-Institut fuer Informatik Research Report MPI-I-98-1-022, + + + * Torbjörn Granlund and Peter L. Montgomery, "Division by Invariant + Integers using Multiplication", in Proceedings of the SIGPLAN + PLDI'94 Conference, June 1994. Also available + . + + * Niels Möller and Torbjörn Granlund, "Improved division by invariant + integers", IEEE Transactions on Computers, 11 June 2010. + + + * Torbjörn Granlund and Niels Möller, "Division of integers large and + small", to appear. + + * Tudor Jebelean, "An algorithm for exact division", Journal of + Symbolic Computation, volume 15, 1993, pp. 169-180. Research + report version available + + + * Tudor Jebelean, "Exact Division with Karatsuba Complexity - + Extended Abstract", RISC-Linz technical report 96-31, + + + * Tudor Jebelean, "Practical Integer Division with Karatsuba + Complexity", ISSAC 97, pp. 339-341. Technical report available + + + * Tudor Jebelean, "A Generalization of the Binary GCD Algorithm", + ISSAC 93, pp. 111-116. Technical report version available + + + * Tudor Jebelean, "A Double-Digit Lehmer-Euclid Algorithm for Finding + the GCD of Long Integers", Journal of Symbolic Computation, volume + 19, 1995, pp. 145-157. Technical report version also available + + + * Werner Krandick and Tudor Jebelean, "Bidirectional Exact Integer + Division", Journal of Symbolic Computation, volume 21, 1996, pp. + 441-455. Early technical report version also available + + + * Makoto Matsumoto and Takuji Nishimura, "Mersenne Twister: A + 623-dimensionally equidistributed uniform pseudorandom number + generator", ACM Transactions on Modelling and Computer Simulation, + volume 8, January 1998, pp. 3-30. Available online + + + * R. Moenck and A. Borodin, "Fast Modular Transforms via Division", + Proceedings of the 13th Annual IEEE Symposium on Switching and + Automata Theory, October 1972, pp. 90-96. Reprinted as "Fast + Modular Transforms", Journal of Computer and System Sciences, + volume 8, number 3, June 1974, pp. 366-386. + + * Niels Möller, "On Schönhage's algorithm and subquadratic integer + GCD computation", in Mathematics of Computation, volume 77, January + 2008, pp. 589-607, + + + * Peter L. Montgomery, "Modular Multiplication Without Trial + Division", in Mathematics of Computation, volume 44, number 170, + April 1985. + + * Arnold Schönhage and Volker Strassen, "Schnelle Multiplikation + grosser Zahlen", Computing 7, 1971, pp. 281-292. + + * Kenneth Weber, "The accelerated integer GCD algorithm", ACM + Transactions on Mathematical Software, volume 21, number 1, March + 1995, pp. 111-122. + + * Paul Zimmermann, "Karatsuba Square Root", INRIA Research Report + 3805, November 1999, + + + * Paul Zimmermann, "A Proof of GMP Fast Division and Square Root + Implementations", + + + * Dan Zuras, "On Squaring and Multiplying Large Integers", ARITH-11: + IEEE Symposium on Computer Arithmetic, 1993, pp. 260 to 271. + Reprinted as "More on Multiplying and Squaring Large Integers", + IEEE Transactions on Computers, volume 43, number 8, August 1994, + pp. 899-908. + + * Niels Möller, "Efficient computation of the Jacobi symbol", + + + +File: gmp.info, Node: GNU Free Documentation License, Next: Concept Index, Prev: References, Up: Top + +Appendix C GNU Free Documentation License +***************************************** + + Version 1.3, 3 November 2008 + + Copyright © 2000-2002, 2007, 2008 Free Software Foundation, Inc. + + + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + 0. 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In case of a + disagreement between the translation and the original version of + this License or a notice or disclaimer, the original version will + prevail. + + If a section in the Document is Entitled "Acknowledgements", + "Dedications", or "History", the requirement (section 4) to + Preserve its Title (section 1) will typically require changing the + actual title. + + 9. TERMINATION + + You may not copy, modify, sublicense, or distribute the Document + except as expressly provided under this License. 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A copy of the license is included in the section entitled ``GNU + Free Documentation License''. + + If you have Invariant Sections, Front-Cover Texts and Back-Cover +Texts, replace the "with...Texts." line with this: + + with the Invariant Sections being LIST THEIR TITLES, with + the Front-Cover Texts being LIST, and with the Back-Cover Texts + being LIST. + + If you have Invariant Sections without Cover Texts, or some other +combination of the three, merge those two alternatives to suit the +situation. + + If your document contains nontrivial examples of program code, we +recommend releasing these examples in parallel under your choice of free +software license, such as the GNU General Public License, to permit +their use in free software. + + +File: gmp.info, Node: Concept Index, Next: Function Index, Prev: GNU Free Documentation License, Up: Top + +Concept Index +************* + +[index] +* Menu: + +* #include: Headers and Libraries. + (line 6) +* --build: Build Options. (line 51) +* --disable-fft: Build Options. (line 307) +* --disable-shared: Build Options. (line 44) +* --disable-static: Build Options. (line 44) +* --enable-alloca: Build Options. (line 273) +* --enable-assert: Build Options. (line 313) +* --enable-cxx: Build Options. (line 225) +* --enable-fat: Build Options. (line 160) +* --enable-profiling: Build Options. (line 317) +* --enable-profiling <1>: Profiling. (line 6) +* --exec-prefix: Build Options. (line 32) +* --host: Build Options. (line 65) +* --prefix: Build Options. (line 32) +* -finstrument-functions: Profiling. (line 66) +* 2exp functions: Efficiency. (line 43) +* 68000: Notes for Particular Systems. + (line 94) +* 80x86: Notes for Particular Systems. + (line 150) +* ABI: Build Options. (line 167) +* ABI <1>: ABI and ISA. (line 6) +* About this manual: Introduction to GMP. (line 57) +* AC_CHECK_LIB: Autoconf. (line 11) +* AIX: ABI and ISA. (line 174) +* AIX <1>: Notes for Particular Systems. + (line 7) +* Algorithms: Algorithms. (line 6) +* alloca: Build Options. (line 273) +* Allocation of memory: Custom Allocation. (line 6) +* AMD64: ABI and ISA. (line 44) +* Anonymous FTP of latest version: Introduction to GMP. (line 37) +* Application Binary Interface: ABI and ISA. (line 6) +* Arithmetic functions: Integer Arithmetic. (line 6) +* Arithmetic functions <1>: Rational Arithmetic. (line 6) +* Arithmetic functions <2>: Float Arithmetic. (line 6) +* ARM: Notes for Particular Systems. + (line 20) +* Assembly cache handling: Assembly Cache Handling. + (line 6) +* Assembly carry propagation: Assembly Carry Propagation. + (line 6) +* Assembly code organisation: Assembly Code Organisation. + (line 6) +* Assembly coding: Assembly Coding. (line 6) +* Assembly floating point: Assembly Floating Point. + (line 6) +* Assembly loop unrolling: Assembly Loop Unrolling. + (line 6) +* Assembly SIMD: Assembly SIMD Instructions. + (line 6) +* Assembly software pipelining: Assembly Software Pipelining. + (line 6) +* Assembly writing guide: Assembly Writing Guide. + (line 6) +* Assertion checking: Build Options. (line 313) +* Assertion checking <1>: Debugging. (line 74) +* Assignment functions: Assigning Integers. (line 6) +* Assignment functions <1>: Simultaneous Integer Init & Assign. + (line 6) +* Assignment functions <2>: Initializing Rationals. + (line 6) +* Assignment functions <3>: Assigning Floats. (line 6) +* Assignment functions <4>: Simultaneous Float Init & Assign. + (line 6) +* Autoconf: Autoconf. (line 6) +* Basics: GMP Basics. (line 6) +* Binomial coefficient algorithm: Binomial Coefficients Algorithm. + (line 6) +* Binomial coefficient functions: Number Theoretic Functions. + (line 137) +* Binutils strip: Known Build Problems. + (line 28) +* Bit manipulation functions: Integer Logic and Bit Fiddling. + (line 6) +* Bit scanning functions: Integer Logic and Bit Fiddling. + (line 39) +* Bit shift left: Integer Arithmetic. (line 38) +* Bit shift right: Integer Division. (line 74) +* Bits per limb: Useful Macros and Constants. + (line 7) +* Bug reporting: Reporting Bugs. (line 6) +* Build directory: Build Options. (line 19) +* Build notes for binary packaging: Notes for Package Builds. + (line 6) +* Build notes for particular systems: Notes for Particular Systems. + (line 6) +* Build options: Build Options. (line 6) +* Build problems known: Known Build Problems. + (line 6) +* Build system: Build Options. (line 51) +* Building GMP: Installing GMP. (line 6) +* Bus error: Debugging. (line 7) +* C compiler: Build Options. (line 178) +* C++ compiler: Build Options. (line 249) +* C++ interface: C++ Class Interface. (line 6) +* C++ interface internals: C++ Interface Internals. + (line 6) +* C++ istream input: C++ Formatted Input. (line 6) +* C++ ostream output: C++ Formatted Output. + (line 6) +* C++ support: Build Options. (line 225) +* CC: Build Options. (line 178) +* CC_FOR_BUILD: Build Options. (line 212) +* CFLAGS: Build Options. (line 178) +* Checker: Debugging. (line 110) +* checkergcc: Debugging. (line 117) +* Code organisation: Assembly Code Organisation. + (line 6) +* Compaq C++: Notes for Particular Systems. + (line 25) +* Comparison functions: Integer Comparisons. (line 6) +* Comparison functions <1>: Comparing Rationals. (line 6) +* Comparison functions <2>: Float Comparison. (line 6) +* Compatibility with older versions: Compatibility with older versions. + (line 6) +* Conditions for copying GNU MP: Copying. (line 6) +* Configuring GMP: Installing GMP. (line 6) +* Congruence algorithm: Exact Remainder. (line 30) +* Congruence functions: Integer Division. (line 150) +* Constants: Useful Macros and Constants. + (line 6) +* Contributors: Contributors. (line 6) +* Conventions for parameters: Parameter Conventions. + (line 6) +* Conventions for variables: Variable Conventions. + (line 6) +* Conversion functions: Converting Integers. (line 6) +* Conversion functions <1>: Rational Conversions. + (line 6) +* Conversion functions <2>: Converting Floats. (line 6) +* Copying conditions: Copying. (line 6) +* CPPFLAGS: Build Options. (line 204) +* CPU types: Introduction to GMP. (line 24) +* CPU types <1>: Build Options. (line 107) +* Cross compiling: Build Options. (line 65) +* Cryptography functions, low-level: Low-level Functions. (line 507) +* Custom allocation: Custom Allocation. (line 6) +* CXX: Build Options. (line 249) +* CXXFLAGS: Build Options. (line 249) +* Cygwin: Notes for Particular Systems. + (line 57) +* Darwin: Known Build Problems. + (line 51) +* Debugging: Debugging. (line 6) +* Demonstration programs: Demonstration Programs. + (line 6) +* Digits in an integer: Miscellaneous Integer Functions. + (line 23) +* Divisibility algorithm: Exact Remainder. (line 30) +* Divisibility functions: Integer Division. (line 136) +* Divisibility functions <1>: Integer Division. (line 150) +* Divisibility testing: Efficiency. (line 91) +* Division algorithms: Division Algorithms. (line 6) +* Division functions: Integer Division. (line 6) +* Division functions <1>: Rational Arithmetic. (line 24) +* Division functions <2>: Float Arithmetic. (line 33) +* DJGPP: Notes for Particular Systems. + (line 57) +* DJGPP <1>: Known Build Problems. + (line 18) +* DLLs: Notes for Particular Systems. + (line 70) +* DocBook: Build Options. (line 340) +* Documentation formats: Build Options. (line 333) +* Documentation license: GNU Free Documentation License. + (line 6) +* DVI: Build Options. (line 336) +* Efficiency: Efficiency. (line 6) +* Emacs: Emacs. (line 6) +* Exact division functions: Integer Division. (line 125) +* Exact remainder: Exact Remainder. (line 6) +* Example programs: Demonstration Programs. + (line 6) +* Exec prefix: Build Options. (line 32) +* Execution profiling: Build Options. (line 317) +* Execution profiling <1>: Profiling. (line 6) +* Exponentiation functions: Integer Exponentiation. + (line 6) +* Exponentiation functions <1>: Float Arithmetic. (line 41) +* Export: Integer Import and Export. + (line 45) +* Expression parsing demo: Demonstration Programs. + (line 15) +* Expression parsing demo <1>: Demonstration Programs. + (line 17) +* Expression parsing demo <2>: Demonstration Programs. + (line 19) +* Extended GCD: Number Theoretic Functions. + (line 56) +* Factor removal functions: Number Theoretic Functions. + (line 117) +* Factorial algorithm: Factorial Algorithm. (line 6) +* Factorial functions: Number Theoretic Functions. + (line 125) +* Factorization demo: Demonstration Programs. + (line 22) +* Fast Fourier Transform: FFT Multiplication. (line 6) +* Fat binary: Build Options. (line 160) +* FFT multiplication: Build Options. (line 307) +* FFT multiplication <1>: FFT Multiplication. (line 6) +* Fibonacci number algorithm: Fibonacci Numbers Algorithm. + (line 6) +* Fibonacci sequence functions: Number Theoretic Functions. + (line 145) +* Float arithmetic functions: Float Arithmetic. (line 6) +* Float assignment functions: Assigning Floats. (line 6) +* Float assignment functions <1>: Simultaneous Float Init & Assign. + (line 6) +* Float comparison functions: Float Comparison. (line 6) +* Float conversion functions: Converting Floats. (line 6) +* Float functions: Floating-point Functions. + (line 6) +* Float initialization functions: Initializing Floats. (line 6) +* Float initialization functions <1>: Simultaneous Float Init & Assign. + (line 6) +* Float input and output functions: I/O of Floats. (line 6) +* Float internals: Float Internals. (line 6) +* Float miscellaneous functions: Miscellaneous Float Functions. + (line 6) +* Float random number functions: Miscellaneous Float Functions. + (line 27) +* Float rounding functions: Miscellaneous Float Functions. + (line 9) +* Float sign tests: Float Comparison. (line 34) +* Floating point mode: Notes for Particular Systems. + (line 34) +* Floating-point functions: Floating-point Functions. + (line 6) +* Floating-point number: Nomenclature and Types. + (line 21) +* fnccheck: Profiling. (line 77) +* Formatted input: Formatted Input. (line 6) +* Formatted output: Formatted Output. (line 6) +* Free Documentation License: GNU Free Documentation License. + (line 6) +* FreeBSD: Notes for Particular Systems. + (line 43) +* FreeBSD <1>: Notes for Particular Systems. + (line 52) +* frexp: Converting Integers. (line 43) +* frexp <1>: Converting Floats. (line 24) +* FTP of latest version: Introduction to GMP. (line 37) +* Function classes: Function Classes. (line 6) +* FunctionCheck: Profiling. (line 77) +* GCC Checker: Debugging. (line 110) +* GCD algorithms: Greatest Common Divisor Algorithms. + (line 6) +* GCD extended: Number Theoretic Functions. + (line 56) +* GCD functions: Number Theoretic Functions. + (line 39) +* GDB: Debugging. (line 53) +* Generic C: Build Options. (line 151) +* GMP Perl module: Demonstration Programs. + (line 28) +* GMP version number: Useful Macros and Constants. + (line 12) +* gmp.h: Headers and Libraries. + (line 6) +* gmpxx.h: C++ Interface General. + (line 8) +* GNU Debugger: Debugging. (line 53) +* GNU Free Documentation License: GNU Free Documentation License. + (line 6) +* GNU strip: Known Build Problems. + (line 28) +* gprof: Profiling. (line 41) +* Greatest common divisor algorithms: Greatest Common Divisor Algorithms. + (line 6) +* Greatest common divisor functions: Number Theoretic Functions. + (line 39) +* Hardware floating point mode: Notes for Particular Systems. + (line 34) +* Headers: Headers and Libraries. + (line 6) +* Heap problems: Debugging. (line 23) +* Home page: Introduction to GMP. (line 33) +* Host system: Build Options. (line 65) +* HP-UX: ABI and ISA. (line 76) +* HP-UX <1>: ABI and ISA. (line 114) +* HPPA: ABI and ISA. (line 76) +* I/O functions: I/O of Integers. (line 6) +* I/O functions <1>: I/O of Rationals. (line 6) +* I/O functions <2>: I/O of Floats. (line 6) +* i386: Notes for Particular Systems. + (line 150) +* IA-64: ABI and ISA. (line 114) +* Import: Integer Import and Export. + (line 11) +* In-place operations: Efficiency. (line 57) +* Include files: Headers and Libraries. + (line 6) +* info-lookup-symbol: Emacs. (line 6) +* Initialization functions: Initializing Integers. + (line 6) +* Initialization functions <1>: Simultaneous Integer Init & Assign. + (line 6) +* Initialization functions <2>: Initializing Rationals. + (line 6) +* Initialization functions <3>: Initializing Floats. (line 6) +* Initialization functions <4>: Simultaneous Float Init & Assign. + (line 6) +* Initialization functions <5>: Random State Initialization. + (line 6) +* Initializing and clearing: Efficiency. (line 21) +* Input functions: I/O of Integers. (line 6) +* Input functions <1>: I/O of Rationals. (line 6) +* Input functions <2>: I/O of Floats. (line 6) +* Input functions <3>: Formatted Input Functions. + (line 6) +* Install prefix: Build Options. (line 32) +* Installing GMP: Installing GMP. (line 6) +* Instruction Set Architecture: ABI and ISA. (line 6) +* instrument-functions: Profiling. (line 66) +* Integer: Nomenclature and Types. + (line 6) +* Integer arithmetic functions: Integer Arithmetic. (line 6) +* Integer assignment functions: Assigning Integers. (line 6) +* Integer assignment functions <1>: Simultaneous Integer Init & Assign. + (line 6) +* Integer bit manipulation functions: Integer Logic and Bit Fiddling. + (line 6) +* Integer comparison functions: Integer Comparisons. (line 6) +* Integer conversion functions: Converting Integers. (line 6) +* Integer division functions: Integer Division. (line 6) +* Integer exponentiation functions: Integer Exponentiation. + (line 6) +* Integer export: Integer Import and Export. + (line 45) +* Integer functions: Integer Functions. (line 6) +* Integer import: Integer Import and Export. + (line 11) +* Integer initialization functions: Initializing Integers. + (line 6) +* Integer initialization functions <1>: Simultaneous Integer Init & Assign. + (line 6) +* Integer input and output functions: I/O of Integers. (line 6) +* Integer internals: Integer Internals. (line 6) +* Integer logical functions: Integer Logic and Bit Fiddling. + (line 6) +* Integer miscellaneous functions: Miscellaneous Integer Functions. + (line 6) +* Integer random number functions: Integer Random Numbers. + (line 6) +* Integer root functions: Integer Roots. (line 6) +* Integer sign tests: Integer Comparisons. (line 28) +* Integer special functions: Integer Special Functions. + (line 6) +* Interix: Notes for Particular Systems. + (line 65) +* Internals: Internals. (line 6) +* Introduction: Introduction to GMP. (line 6) +* Inverse modulo functions: Number Theoretic Functions. + (line 83) +* IRIX: ABI and ISA. (line 139) +* IRIX <1>: Known Build Problems. + (line 38) +* ISA: ABI and ISA. (line 6) +* istream input: C++ Formatted Input. (line 6) +* Jacobi symbol algorithm: Jacobi Symbol. (line 6) +* Jacobi symbol functions: Number Theoretic Functions. + (line 92) +* Karatsuba multiplication: Karatsuba Multiplication. + (line 6) +* Karatsuba square root algorithm: Square Root Algorithm. + (line 6) +* Kronecker symbol functions: Number Theoretic Functions. + (line 104) +* Language bindings: Language Bindings. (line 6) +* Latest version of GMP: Introduction to GMP. (line 37) +* LCM functions: Number Theoretic Functions. + (line 77) +* Least common multiple functions: Number Theoretic Functions. + (line 77) +* Legendre symbol functions: Number Theoretic Functions. + (line 95) +* libgmp: Headers and Libraries. + (line 24) +* libgmpxx: Headers and Libraries. + (line 29) +* Libraries: Headers and Libraries. + (line 24) +* Libtool: Headers and Libraries. + (line 36) +* Libtool versioning: Notes for Package Builds. + (line 9) +* License conditions: Copying. (line 6) +* Limb: Nomenclature and Types. + (line 31) +* Limb size: Useful Macros and Constants. + (line 7) +* Linear congruential algorithm: Random Number Algorithms. + (line 25) +* Linear congruential random numbers: Random State Initialization. + (line 18) +* Linear congruential random numbers <1>: Random State Initialization. + (line 32) +* Linking: Headers and Libraries. + (line 24) +* Logical functions: Integer Logic and Bit Fiddling. + (line 6) +* Low-level functions: Low-level Functions. (line 6) +* Low-level functions for cryptography: Low-level Functions. (line 507) +* Lucas number algorithm: Lucas Numbers Algorithm. + (line 6) +* Lucas number functions: Number Theoretic Functions. + (line 156) +* MacOS X: Known Build Problems. + (line 51) +* Mailing lists: Introduction to GMP. (line 44) +* Malloc debugger: Debugging. (line 29) +* Malloc problems: Debugging. (line 23) +* Memory allocation: Custom Allocation. (line 6) +* Memory management: Memory Management. (line 6) +* Mersenne twister algorithm: Random Number Algorithms. + (line 17) +* Mersenne twister random numbers: Random State Initialization. + (line 13) +* MINGW: Notes for Particular Systems. + (line 57) +* MIPS: ABI and ISA. (line 139) +* Miscellaneous float functions: Miscellaneous Float Functions. + (line 6) +* Miscellaneous integer functions: Miscellaneous Integer Functions. + (line 6) +* MMX: Notes for Particular Systems. + (line 156) +* Modular inverse functions: Number Theoretic Functions. + (line 83) +* Most significant bit: Miscellaneous Integer Functions. + (line 34) +* MPN_PATH: Build Options. (line 321) +* MS Windows: Notes for Particular Systems. + (line 57) +* MS Windows <1>: Notes for Particular Systems. + (line 70) +* MS-DOS: Notes for Particular Systems. + (line 57) +* Multi-threading: Reentrancy. (line 6) +* Multiplication algorithms: Multiplication Algorithms. + (line 6) +* Nails: Low-level Functions. (line 686) +* Native compilation: Build Options. (line 51) +* NetBSD: Notes for Particular Systems. + (line 100) +* NeXT: Known Build Problems. + (line 57) +* Next prime function: Number Theoretic Functions. + (line 23) +* Nomenclature: Nomenclature and Types. + (line 6) +* Non-Unix systems: Build Options. (line 11) +* Nth root algorithm: Nth Root Algorithm. (line 6) +* Number sequences: Efficiency. (line 145) +* Number theoretic functions: Number Theoretic Functions. + (line 6) +* Numerator and denominator: Applying Integer Functions. + (line 6) +* obstack output: Formatted Output Functions. + (line 79) +* OpenBSD: Notes for Particular Systems. + (line 109) +* Optimizing performance: Performance optimization. + (line 6) +* ostream output: C++ Formatted Output. + (line 6) +* Other languages: Language Bindings. (line 6) +* Output functions: I/O of Integers. (line 6) +* Output functions <1>: I/O of Rationals. (line 6) +* Output functions <2>: I/O of Floats. (line 6) +* Output functions <3>: Formatted Output Functions. + (line 6) +* Packaged builds: Notes for Package Builds. + (line 6) +* Parameter conventions: Parameter Conventions. + (line 6) +* Parsing expressions demo: Demonstration Programs. + (line 15) +* Parsing expressions demo <1>: Demonstration Programs. + (line 17) +* Parsing expressions demo <2>: Demonstration Programs. + (line 19) +* Particular systems: Notes for Particular Systems. + (line 6) +* Past GMP versions: Compatibility with older versions. + (line 6) +* PDF: Build Options. (line 336) +* Perfect power algorithm: Perfect Power Algorithm. + (line 6) +* Perfect power functions: Integer Roots. (line 28) +* Perfect square algorithm: Perfect Square Algorithm. + (line 6) +* Perfect square functions: Integer Roots. (line 37) +* perl: Demonstration Programs. + (line 28) +* Perl module: Demonstration Programs. + (line 28) +* Pointer types: Nomenclature and Types. + (line 55) +* Postscript: Build Options. (line 336) +* Power/PowerPC: Notes for Particular Systems. + (line 115) +* Power/PowerPC <1>: Known Build Problems. + (line 63) +* Powering algorithms: Powering Algorithms. (line 6) +* Powering functions: Integer Exponentiation. + (line 6) +* Powering functions <1>: Float Arithmetic. (line 41) +* PowerPC: ABI and ISA. (line 173) +* Precision of floats: Floating-point Functions. + (line 6) +* Precision of hardware floating point: Notes for Particular Systems. + (line 34) +* Prefix: Build Options. (line 32) +* Previous prime function: Number Theoretic Functions. + (line 26) +* Prime testing algorithms: Prime Testing Algorithm. + (line 6) +* Prime testing functions: Number Theoretic Functions. + (line 7) +* Primorial functions: Number Theoretic Functions. + (line 130) +* printf formatted output: Formatted Output. (line 6) +* Probable prime testing functions: Number Theoretic Functions. + (line 7) +* prof: Profiling. (line 24) +* Profiling: Profiling. (line 6) +* Radix conversion algorithms: Radix Conversion Algorithms. + (line 6) +* Random number algorithms: Random Number Algorithms. + (line 6) +* Random number functions: Integer Random Numbers. + (line 6) +* Random number functions <1>: Miscellaneous Float Functions. + (line 27) +* Random number functions <2>: Random Number Functions. + (line 6) +* Random number seeding: Random State Seeding. + (line 6) +* Random number state: Random State Initialization. + (line 6) +* Random state: Nomenclature and Types. + (line 46) +* Rational arithmetic: Efficiency. (line 111) +* Rational arithmetic functions: Rational Arithmetic. (line 6) +* Rational assignment functions: Initializing Rationals. + (line 6) +* Rational comparison functions: Comparing Rationals. (line 6) +* Rational conversion functions: Rational Conversions. + (line 6) +* Rational initialization functions: Initializing Rationals. + (line 6) +* Rational input and output functions: I/O of Rationals. (line 6) +* Rational internals: Rational Internals. (line 6) +* Rational number: Nomenclature and Types. + (line 16) +* Rational number functions: Rational Number Functions. + (line 6) +* Rational numerator and denominator: Applying Integer Functions. + (line 6) +* Rational sign tests: Comparing Rationals. (line 28) +* Raw output internals: Raw Output Internals. + (line 6) +* Reallocations: Efficiency. (line 30) +* Reentrancy: Reentrancy. (line 6) +* References: References. (line 5) +* Remove factor functions: Number Theoretic Functions. + (line 117) +* Reporting bugs: Reporting Bugs. (line 6) +* Root extraction algorithm: Nth Root Algorithm. (line 6) +* Root extraction algorithms: Root Extraction Algorithms. + (line 6) +* Root extraction functions: Integer Roots. (line 6) +* Root extraction functions <1>: Float Arithmetic. (line 37) +* Root testing functions: Integer Roots. (line 28) +* Root testing functions <1>: Integer Roots. (line 37) +* Rounding functions: Miscellaneous Float Functions. + (line 9) +* Sample programs: Demonstration Programs. + (line 6) +* Scan bit functions: Integer Logic and Bit Fiddling. + (line 39) +* scanf formatted input: Formatted Input. (line 6) +* SCO: Known Build Problems. + (line 38) +* Seeding random numbers: Random State Seeding. + (line 6) +* Segmentation violation: Debugging. (line 7) +* Sequent Symmetry: Known Build Problems. + (line 68) +* Services for Unix: Notes for Particular Systems. + (line 65) +* Shared library versioning: Notes for Package Builds. + (line 9) +* Sign tests: Integer Comparisons. (line 28) +* Sign tests <1>: Comparing Rationals. (line 28) +* Sign tests <2>: Float Comparison. (line 34) +* Size in digits: Miscellaneous Integer Functions. + (line 23) +* Small operands: Efficiency. (line 7) +* Solaris: ABI and ISA. (line 204) +* Solaris <1>: Known Build Problems. + (line 72) +* Solaris <2>: Known Build Problems. + (line 77) +* Sparc: Notes for Particular Systems. + (line 127) +* Sparc <1>: Notes for Particular Systems. + (line 132) +* Sparc V9: ABI and ISA. (line 204) +* Special integer functions: Integer Special Functions. + (line 6) +* Square root algorithm: Square Root Algorithm. + (line 6) +* SSE2: Notes for Particular Systems. + (line 156) +* Stack backtrace: Debugging. (line 45) +* Stack overflow: Build Options. (line 273) +* Stack overflow <1>: Debugging. (line 7) +* Static linking: Efficiency. (line 14) +* stdarg.h: Headers and Libraries. + (line 19) +* stdio.h: Headers and Libraries. + (line 13) +* Stripped libraries: Known Build Problems. + (line 28) +* Sun: ABI and ISA. (line 204) +* SunOS: Notes for Particular Systems. + (line 144) +* Systems: Notes for Particular Systems. + (line 6) +* Temporary memory: Build Options. (line 273) +* Texinfo: Build Options. (line 333) +* Text input/output: Efficiency. (line 151) +* Thread safety: Reentrancy. (line 6) +* Toom multiplication: Toom 3-Way Multiplication. + (line 6) +* Toom multiplication <1>: Toom 4-Way Multiplication. + (line 6) +* Toom multiplication <2>: Higher degree Toom'n'half. + (line 6) +* Toom multiplication <3>: Other Multiplication. + (line 6) +* Types: Nomenclature and Types. + (line 6) +* ui and si functions: Efficiency. (line 50) +* Unbalanced multiplication: Unbalanced Multiplication. + (line 6) +* Upward compatibility: Compatibility with older versions. + (line 6) +* Useful macros and constants: Useful Macros and Constants. + (line 6) +* User-defined precision: Floating-point Functions. + (line 6) +* Valgrind: Debugging. (line 125) +* Variable conventions: Variable Conventions. + (line 6) +* Version number: Useful Macros and Constants. + (line 12) +* Web page: Introduction to GMP. (line 33) +* Windows: Notes for Particular Systems. + (line 57) +* Windows <1>: Notes for Particular Systems. + (line 70) +* x86: Notes for Particular Systems. + (line 150) +* x87: Notes for Particular Systems. + (line 34) +* XML: Build Options. (line 340) + + +File: gmp.info, Node: Function Index, Prev: Concept Index, Up: Top + +Function and Type Index +*********************** + +[index] +* Menu: + +* _mpz_realloc: Integer Special Functions. + (line 13) +* __GMP_CC: Useful Macros and Constants. + (line 22) +* __GMP_CFLAGS: Useful Macros and Constants. + (line 23) +* __GNU_MP_VERSION: Useful Macros and Constants. + (line 9) +* __GNU_MP_VERSION_MINOR: Useful Macros and Constants. + (line 10) +* __GNU_MP_VERSION_PATCHLEVEL: Useful Macros and Constants. + (line 11) +* abs: C++ Interface Integers. + (line 46) +* abs <1>: C++ Interface Rationals. + (line 47) +* abs <2>: C++ Interface Floats. + (line 82) +* ceil: C++ Interface Floats. + (line 83) +* cmp: C++ Interface Integers. + (line 47) +* cmp <1>: C++ Interface Integers. + (line 48) +* cmp <2>: C++ Interface Rationals. + (line 48) +* cmp <3>: C++ Interface Rationals. + (line 49) +* cmp <4>: C++ Interface Floats. + (line 84) +* cmp <5>: C++ Interface Floats. + (line 85) +* factorial: C++ Interface Integers. + (line 71) +* fibonacci: C++ Interface Integers. + (line 75) +* floor: C++ Interface Floats. + (line 95) +* gcd: C++ Interface Integers. + (line 68) +* gmp_asprintf: Formatted Output Functions. + (line 63) +* gmp_errno: Random State Initialization. + (line 56) +* GMP_ERROR_INVALID_ARGUMENT: Random State Initialization. + (line 56) +* GMP_ERROR_UNSUPPORTED_ARGUMENT: Random State Initialization. + (line 56) +* gmp_fprintf: Formatted Output Functions. + (line 28) +* gmp_fscanf: Formatted Input Functions. + (line 24) +* GMP_LIMB_BITS: Low-level Functions. (line 714) +* GMP_NAIL_BITS: Low-level Functions. (line 712) +* GMP_NAIL_MASK: Low-level Functions. (line 722) +* GMP_NUMB_BITS: Low-level Functions. (line 713) +* GMP_NUMB_MASK: Low-level Functions. (line 723) +* GMP_NUMB_MAX: Low-level Functions. (line 731) +* gmp_obstack_printf: Formatted Output Functions. + (line 75) +* gmp_obstack_vprintf: Formatted Output Functions. + (line 77) +* gmp_printf: Formatted Output Functions. + (line 23) +* gmp_randclass: C++ Interface Random Numbers. + (line 6) +* gmp_randclass::get_f: C++ Interface Random Numbers. + (line 44) +* gmp_randclass::get_f <1>: C++ Interface Random Numbers. + (line 45) +* gmp_randclass::get_z_bits: C++ Interface Random Numbers. + (line 37) +* gmp_randclass::get_z_bits <1>: C++ Interface Random Numbers. + (line 38) +* gmp_randclass::get_z_range: C++ Interface Random Numbers. + (line 41) +* gmp_randclass::gmp_randclass: C++ Interface Random Numbers. + (line 11) +* gmp_randclass::gmp_randclass <1>: C++ Interface Random Numbers. + (line 26) +* gmp_randclass::seed: C++ Interface Random Numbers. + (line 32) +* gmp_randclass::seed <1>: C++ Interface Random Numbers. + (line 33) +* gmp_randclear: Random State Initialization. + (line 62) +* gmp_randinit: Random State Initialization. + (line 45) +* gmp_randinit_default: Random State Initialization. + (line 6) +* gmp_randinit_lc_2exp: Random State Initialization. + (line 16) +* gmp_randinit_lc_2exp_size: Random State Initialization. + (line 30) +* gmp_randinit_mt: Random State Initialization. + (line 12) +* gmp_randinit_set: Random State Initialization. + (line 41) +* gmp_randseed: Random State Seeding. + (line 6) +* gmp_randseed_ui: Random State Seeding. + (line 8) +* gmp_randstate_ptr: Nomenclature and Types. + (line 55) +* gmp_randstate_srcptr: Nomenclature and Types. + (line 55) +* gmp_randstate_t: Nomenclature and Types. + (line 46) +* GMP_RAND_ALG_DEFAULT: Random State Initialization. + (line 50) +* GMP_RAND_ALG_LC: Random State Initialization. + (line 50) +* gmp_scanf: Formatted Input Functions. + (line 20) +* gmp_snprintf: Formatted Output Functions. + (line 44) +* gmp_sprintf: Formatted Output Functions. + (line 33) +* gmp_sscanf: Formatted Input Functions. + (line 28) +* gmp_urandomb_ui: Random State Miscellaneous. + (line 6) +* gmp_urandomm_ui: Random State Miscellaneous. + (line 12) +* gmp_vasprintf: Formatted Output Functions. + (line 64) +* gmp_version: Useful Macros and Constants. + (line 18) +* gmp_vfprintf: Formatted Output Functions. + (line 29) +* gmp_vfscanf: Formatted Input Functions. + (line 25) +* gmp_vprintf: Formatted Output Functions. + (line 24) +* gmp_vscanf: Formatted Input Functions. + (line 21) +* gmp_vsnprintf: Formatted Output Functions. + (line 46) +* gmp_vsprintf: Formatted Output Functions. + (line 34) +* gmp_vsscanf: Formatted Input Functions. + (line 29) +* hypot: C++ Interface Floats. + (line 96) +* lcm: C++ Interface Integers. + (line 69) +* mpf_abs: Float Arithmetic. (line 46) +* mpf_add: Float Arithmetic. (line 6) +* mpf_add_ui: Float Arithmetic. (line 7) +* mpf_ceil: Miscellaneous Float Functions. + (line 6) +* mpf_class: C++ Interface General. + (line 19) +* mpf_class::fits_sint_p: C++ Interface Floats. + (line 87) +* mpf_class::fits_slong_p: C++ Interface Floats. + (line 88) +* mpf_class::fits_sshort_p: C++ Interface Floats. + (line 89) +* mpf_class::fits_uint_p: C++ Interface Floats. + (line 91) +* mpf_class::fits_ulong_p: C++ Interface Floats. + (line 92) +* mpf_class::fits_ushort_p: C++ Interface Floats. + (line 93) +* mpf_class::get_d: C++ Interface Floats. + (line 98) +* mpf_class::get_mpf_t: C++ Interface General. + (line 65) +* mpf_class::get_prec: C++ Interface Floats. + (line 120) +* mpf_class::get_si: C++ Interface Floats. + (line 99) +* mpf_class::get_str: C++ Interface Floats. + (line 100) +* mpf_class::get_ui: C++ Interface Floats. + (line 102) +* mpf_class::mpf_class: C++ Interface Floats. + (line 11) +* mpf_class::mpf_class <1>: C++ Interface Floats. + (line 12) +* mpf_class::mpf_class <2>: C++ Interface Floats. + (line 32) +* mpf_class::mpf_class <3>: C++ Interface Floats. + (line 33) +* mpf_class::mpf_class <4>: C++ Interface Floats. + (line 41) +* mpf_class::mpf_class <5>: C++ Interface Floats. + (line 42) +* mpf_class::mpf_class <6>: C++ Interface Floats. + (line 44) +* mpf_class::mpf_class <7>: C++ Interface Floats. + (line 45) +* mpf_class::operator=: C++ Interface Floats. + (line 59) +* mpf_class::set_prec: C++ Interface Floats. + (line 121) +* mpf_class::set_prec_raw: C++ Interface Floats. + (line 122) +* mpf_class::set_str: C++ Interface Floats. + (line 104) +* mpf_class::set_str <1>: C++ Interface Floats. + (line 105) +* mpf_class::swap: C++ Interface Floats. + (line 109) +* mpf_clear: Initializing Floats. (line 36) +* mpf_clears: Initializing Floats. (line 40) +* mpf_cmp: Float Comparison. (line 6) +* mpf_cmp_d: Float Comparison. (line 8) +* mpf_cmp_si: Float Comparison. (line 10) +* mpf_cmp_ui: Float Comparison. (line 9) +* mpf_cmp_z: Float Comparison. (line 7) +* mpf_div: Float Arithmetic. (line 28) +* mpf_div_2exp: Float Arithmetic. (line 53) +* mpf_div_ui: Float Arithmetic. (line 31) +* mpf_eq: Float Comparison. (line 17) +* mpf_fits_sint_p: Miscellaneous Float Functions. + (line 19) +* mpf_fits_slong_p: Miscellaneous Float Functions. + (line 17) +* mpf_fits_sshort_p: Miscellaneous Float Functions. + (line 21) +* mpf_fits_uint_p: Miscellaneous Float Functions. + (line 18) +* mpf_fits_ulong_p: Miscellaneous Float Functions. + (line 16) +* mpf_fits_ushort_p: Miscellaneous Float Functions. + (line 20) +* mpf_floor: Miscellaneous Float Functions. + (line 7) +* mpf_get_d: Converting Floats. (line 6) +* mpf_get_default_prec: Initializing Floats. (line 11) +* mpf_get_d_2exp: Converting Floats. (line 15) +* mpf_get_prec: Initializing Floats. (line 61) +* mpf_get_si: Converting Floats. (line 27) +* mpf_get_str: Converting Floats. (line 36) +* mpf_get_ui: Converting Floats. (line 28) +* mpf_init: Initializing Floats. (line 18) +* mpf_init2: Initializing Floats. (line 25) +* mpf_inits: Initializing Floats. (line 30) +* mpf_init_set: Simultaneous Float Init & Assign. + (line 15) +* mpf_init_set_d: Simultaneous Float Init & Assign. + (line 18) +* mpf_init_set_si: Simultaneous Float Init & Assign. + (line 17) +* mpf_init_set_str: Simultaneous Float Init & Assign. + (line 24) +* mpf_init_set_ui: Simultaneous Float Init & Assign. + (line 16) +* mpf_inp_str: I/O of Floats. (line 38) +* mpf_integer_p: Miscellaneous Float Functions. + (line 13) +* mpf_mul: Float Arithmetic. (line 18) +* mpf_mul_2exp: Float Arithmetic. (line 49) +* mpf_mul_ui: Float Arithmetic. (line 19) +* mpf_neg: Float Arithmetic. (line 43) +* mpf_out_str: I/O of Floats. (line 17) +* mpf_pow_ui: Float Arithmetic. (line 39) +* mpf_ptr: Nomenclature and Types. + (line 55) +* mpf_random2: Miscellaneous Float Functions. + (line 35) +* mpf_reldiff: Float Comparison. (line 28) +* mpf_set: Assigning Floats. (line 9) +* mpf_set_d: Assigning Floats. (line 12) +* mpf_set_default_prec: Initializing Floats. (line 6) +* mpf_set_prec: Initializing Floats. (line 64) +* mpf_set_prec_raw: Initializing Floats. (line 71) +* mpf_set_q: Assigning Floats. (line 14) +* mpf_set_si: Assigning Floats. (line 11) +* mpf_set_str: Assigning Floats. (line 17) +* mpf_set_ui: Assigning Floats. (line 10) +* mpf_set_z: Assigning Floats. (line 13) +* mpf_sgn: Float Comparison. (line 33) +* mpf_sqrt: Float Arithmetic. (line 35) +* mpf_sqrt_ui: Float Arithmetic. (line 36) +* mpf_srcptr: Nomenclature and Types. + (line 55) +* mpf_sub: Float Arithmetic. (line 11) +* mpf_sub_ui: Float Arithmetic. (line 14) +* mpf_swap: Assigning Floats. (line 50) +* mpf_t: Nomenclature and Types. + (line 21) +* mpf_trunc: Miscellaneous Float Functions. + (line 8) +* mpf_ui_div: Float Arithmetic. (line 29) +* mpf_ui_sub: Float Arithmetic. (line 12) +* mpf_urandomb: Miscellaneous Float Functions. + (line 25) +* mpn_add: Low-level Functions. (line 67) +* mpn_addmul_1: Low-level Functions. (line 148) +* mpn_add_1: Low-level Functions. (line 62) +* mpn_add_n: Low-level Functions. (line 52) +* mpn_andn_n: Low-level Functions. (line 462) +* mpn_and_n: Low-level Functions. (line 447) +* mpn_cmp: Low-level Functions. (line 293) +* mpn_cnd_add_n: Low-level Functions. (line 540) +* mpn_cnd_sub_n: Low-level Functions. (line 542) +* mpn_cnd_swap: Low-level Functions. (line 567) +* mpn_com: Low-level Functions. (line 487) +* mpn_copyd: Low-level Functions. (line 496) +* mpn_copyi: Low-level Functions. (line 492) +* mpn_divexact_1: Low-level Functions. (line 231) +* mpn_divexact_by3: Low-level Functions. (line 238) +* mpn_divexact_by3c: Low-level Functions. (line 240) +* mpn_divmod: Low-level Functions. (line 226) +* mpn_divmod_1: Low-level Functions. (line 210) +* mpn_divrem: Low-level Functions. (line 183) +* mpn_divrem_1: Low-level Functions. (line 208) +* mpn_gcd: Low-level Functions. (line 301) +* mpn_gcdext: Low-level Functions. (line 316) +* mpn_gcd_1: Low-level Functions. (line 311) +* mpn_get_str: Low-level Functions. (line 371) +* mpn_hamdist: Low-level Functions. (line 436) +* mpn_iorn_n: Low-level Functions. (line 467) +* mpn_ior_n: Low-level Functions. (line 452) +* mpn_lshift: Low-level Functions. (line 269) +* mpn_mod_1: Low-level Functions. (line 264) +* mpn_mul: Low-level Functions. (line 114) +* mpn_mul_1: Low-level Functions. (line 133) +* mpn_mul_n: Low-level Functions. (line 103) +* mpn_nand_n: Low-level Functions. (line 472) +* mpn_neg: Low-level Functions. (line 96) +* mpn_nior_n: Low-level Functions. (line 477) +* mpn_perfect_square_p: Low-level Functions. (line 442) +* mpn_popcount: Low-level Functions. (line 432) +* mpn_random: Low-level Functions. (line 422) +* mpn_random2: Low-level Functions. (line 423) +* mpn_rshift: Low-level Functions. (line 281) +* mpn_scan0: Low-level Functions. (line 406) +* mpn_scan1: Low-level Functions. (line 414) +* mpn_sec_add_1: Low-level Functions. (line 553) +* mpn_sec_div_qr: Low-level Functions. (line 630) +* mpn_sec_div_qr_itch: Low-level Functions. (line 633) +* mpn_sec_div_r: Low-level Functions. (line 649) +* mpn_sec_div_r_itch: Low-level Functions. (line 651) +* mpn_sec_invert: Low-level Functions. (line 665) +* mpn_sec_invert_itch: Low-level Functions. (line 667) +* mpn_sec_mul: Low-level Functions. (line 574) +* mpn_sec_mul_itch: Low-level Functions. (line 577) +* mpn_sec_powm: Low-level Functions. (line 604) +* mpn_sec_powm_itch: Low-level Functions. (line 607) +* mpn_sec_sqr: Low-level Functions. (line 590) +* mpn_sec_sqr_itch: Low-level Functions. (line 592) +* mpn_sec_sub_1: Low-level Functions. (line 555) +* mpn_sec_tabselect: Low-level Functions. (line 622) +* mpn_set_str: Low-level Functions. (line 386) +* mpn_sizeinbase: Low-level Functions. (line 364) +* mpn_sqr: Low-level Functions. (line 125) +* mpn_sqrtrem: Low-level Functions. (line 346) +* mpn_sub: Low-level Functions. (line 88) +* mpn_submul_1: Low-level Functions. (line 160) +* mpn_sub_1: Low-level Functions. (line 83) +* mpn_sub_n: Low-level Functions. (line 74) +* mpn_tdiv_qr: Low-level Functions. (line 172) +* mpn_xnor_n: Low-level Functions. (line 482) +* mpn_xor_n: Low-level Functions. (line 457) +* mpn_zero: Low-level Functions. (line 500) +* mpn_zero_p: Low-level Functions. (line 298) +* mpq_abs: Rational Arithmetic. (line 33) +* mpq_add: Rational Arithmetic. (line 6) +* mpq_canonicalize: Rational Number Functions. + (line 21) +* mpq_class: C++ Interface General. + (line 18) +* mpq_class::canonicalize: C++ Interface Rationals. + (line 41) +* mpq_class::get_d: C++ Interface Rationals. + (line 51) +* mpq_class::get_den: C++ Interface Rationals. + (line 67) +* mpq_class::get_den_mpz_t: C++ Interface Rationals. + (line 77) +* mpq_class::get_mpq_t: C++ Interface General. + (line 64) +* mpq_class::get_num: C++ Interface Rationals. + (line 66) +* mpq_class::get_num_mpz_t: C++ Interface Rationals. + (line 76) +* mpq_class::get_str: C++ Interface Rationals. + (line 52) +* mpq_class::mpq_class: C++ Interface Rationals. + (line 9) +* mpq_class::mpq_class <1>: C++ Interface Rationals. + (line 10) +* mpq_class::mpq_class <2>: C++ Interface Rationals. + (line 21) +* mpq_class::mpq_class <3>: C++ Interface Rationals. + (line 26) +* mpq_class::mpq_class <4>: C++ Interface Rationals. + (line 28) +* mpq_class::set_str: C++ Interface Rationals. + (line 54) +* mpq_class::set_str <1>: C++ Interface Rationals. + (line 55) +* mpq_class::swap: C++ Interface Rationals. + (line 58) +* mpq_clear: Initializing Rationals. + (line 15) +* mpq_clears: Initializing Rationals. + (line 19) +* mpq_cmp: Comparing Rationals. (line 6) +* mpq_cmp_si: Comparing Rationals. (line 16) +* mpq_cmp_ui: Comparing Rationals. (line 14) +* mpq_cmp_z: Comparing Rationals. (line 7) +* mpq_denref: Applying Integer Functions. + (line 16) +* mpq_div: Rational Arithmetic. (line 22) +* mpq_div_2exp: Rational Arithmetic. (line 26) +* mpq_equal: Comparing Rationals. (line 33) +* mpq_get_d: Rational Conversions. + (line 6) +* mpq_get_den: Applying Integer Functions. + (line 24) +* mpq_get_num: Applying Integer Functions. + (line 23) +* mpq_get_str: Rational Conversions. + (line 21) +* mpq_init: Initializing Rationals. + (line 6) +* mpq_inits: Initializing Rationals. + (line 11) +* mpq_inp_str: I/O of Rationals. (line 32) +* mpq_inv: Rational Arithmetic. (line 36) +* mpq_mul: Rational Arithmetic. (line 14) +* mpq_mul_2exp: Rational Arithmetic. (line 18) +* mpq_neg: Rational Arithmetic. (line 30) +* mpq_numref: Applying Integer Functions. + (line 15) +* mpq_out_str: I/O of Rationals. (line 17) +* mpq_ptr: Nomenclature and Types. + (line 55) +* mpq_set: Initializing Rationals. + (line 23) +* mpq_set_d: Rational Conversions. + (line 16) +* mpq_set_den: Applying Integer Functions. + (line 26) +* mpq_set_f: Rational Conversions. + (line 17) +* mpq_set_num: Applying Integer Functions. + (line 25) +* mpq_set_si: Initializing Rationals. + (line 29) +* mpq_set_str: Initializing Rationals. + (line 35) +* mpq_set_ui: Initializing Rationals. + (line 27) +* mpq_set_z: Initializing Rationals. + (line 24) +* mpq_sgn: Comparing Rationals. (line 27) +* mpq_srcptr: Nomenclature and Types. + (line 55) +* mpq_sub: Rational Arithmetic. (line 10) +* mpq_swap: Initializing Rationals. + (line 54) +* mpq_t: Nomenclature and Types. + (line 16) +* mpz_2fac_ui: Number Theoretic Functions. + (line 122) +* mpz_abs: Integer Arithmetic. (line 44) +* mpz_add: Integer Arithmetic. (line 6) +* mpz_addmul: Integer Arithmetic. (line 24) +* mpz_addmul_ui: Integer Arithmetic. (line 26) +* mpz_add_ui: Integer Arithmetic. (line 7) +* mpz_and: Integer Logic and Bit Fiddling. + (line 10) +* mpz_array_init: Integer Special Functions. + (line 9) +* mpz_bin_ui: Number Theoretic Functions. + (line 133) +* mpz_bin_uiui: Number Theoretic Functions. + (line 135) +* mpz_cdiv_q: Integer Division. (line 12) +* mpz_cdiv_qr: Integer Division. (line 14) +* mpz_cdiv_qr_ui: Integer Division. (line 21) +* mpz_cdiv_q_2exp: Integer Division. (line 26) +* mpz_cdiv_q_ui: Integer Division. (line 17) +* mpz_cdiv_r: Integer Division. (line 13) +* mpz_cdiv_r_2exp: Integer Division. (line 29) +* mpz_cdiv_r_ui: Integer Division. (line 19) +* mpz_cdiv_ui: Integer Division. (line 23) +* mpz_class: C++ Interface General. + (line 17) +* mpz_class::factorial: C++ Interface Integers. + (line 70) +* mpz_class::fibonacci: C++ Interface Integers. + (line 74) +* mpz_class::fits_sint_p: C++ Interface Integers. + (line 50) +* mpz_class::fits_slong_p: C++ Interface Integers. + (line 51) +* mpz_class::fits_sshort_p: C++ Interface Integers. + (line 52) +* mpz_class::fits_uint_p: C++ Interface Integers. + (line 54) +* mpz_class::fits_ulong_p: C++ Interface Integers. + (line 55) +* mpz_class::fits_ushort_p: C++ Interface Integers. + (line 56) +* mpz_class::get_d: C++ Interface Integers. + (line 58) +* mpz_class::get_mpz_t: C++ Interface General. + (line 63) +* mpz_class::get_si: C++ Interface Integers. + (line 59) +* mpz_class::get_str: C++ Interface Integers. + (line 60) +* mpz_class::get_ui: C++ Interface Integers. + (line 61) +* mpz_class::mpz_class: C++ Interface Integers. + (line 6) +* mpz_class::mpz_class <1>: C++ Interface Integers. + (line 14) +* mpz_class::mpz_class <2>: C++ Interface Integers. + (line 19) +* mpz_class::mpz_class <3>: C++ Interface Integers. + (line 21) +* mpz_class::primorial: C++ Interface Integers. + (line 72) +* mpz_class::set_str: C++ Interface Integers. + (line 63) +* mpz_class::set_str <1>: C++ Interface Integers. + (line 64) +* mpz_class::swap: C++ Interface Integers. + (line 77) +* mpz_clear: Initializing Integers. + (line 48) +* mpz_clears: Initializing Integers. + (line 52) +* mpz_clrbit: Integer Logic and Bit Fiddling. + (line 54) +* mpz_cmp: Integer Comparisons. (line 6) +* mpz_cmpabs: Integer Comparisons. (line 17) +* mpz_cmpabs_d: Integer Comparisons. (line 18) +* mpz_cmpabs_ui: Integer Comparisons. (line 19) +* mpz_cmp_d: Integer Comparisons. (line 7) +* mpz_cmp_si: Integer Comparisons. (line 8) +* mpz_cmp_ui: Integer Comparisons. (line 9) +* mpz_com: Integer Logic and Bit Fiddling. + (line 19) +* mpz_combit: Integer Logic and Bit Fiddling. + (line 57) +* mpz_congruent_2exp_p: Integer Division. (line 148) +* mpz_congruent_p: Integer Division. (line 144) +* mpz_congruent_ui_p: Integer Division. (line 146) +* mpz_divexact: Integer Division. (line 122) +* mpz_divexact_ui: Integer Division. (line 123) +* mpz_divisible_2exp_p: Integer Division. (line 135) +* mpz_divisible_p: Integer Division. (line 132) +* mpz_divisible_ui_p: Integer Division. (line 133) +* mpz_even_p: Miscellaneous Integer Functions. + (line 17) +* mpz_export: Integer Import and Export. + (line 43) +* mpz_fac_ui: Number Theoretic Functions. + (line 121) +* mpz_fdiv_q: Integer Division. (line 33) +* mpz_fdiv_qr: Integer Division. (line 35) +* mpz_fdiv_qr_ui: Integer Division. (line 42) +* mpz_fdiv_q_2exp: Integer Division. (line 47) +* mpz_fdiv_q_ui: Integer Division. (line 38) +* mpz_fdiv_r: Integer Division. (line 34) +* mpz_fdiv_r_2exp: Integer Division. (line 50) +* mpz_fdiv_r_ui: Integer Division. (line 40) +* mpz_fdiv_ui: Integer Division. (line 44) +* mpz_fib2_ui: Number Theoretic Functions. + (line 143) +* mpz_fib_ui: Number Theoretic Functions. + (line 142) +* mpz_fits_sint_p: Miscellaneous Integer Functions. + (line 9) +* mpz_fits_slong_p: Miscellaneous Integer Functions. + (line 7) +* mpz_fits_sshort_p: Miscellaneous Integer Functions. + (line 11) +* mpz_fits_uint_p: Miscellaneous Integer Functions. + (line 8) +* mpz_fits_ulong_p: Miscellaneous Integer Functions. + (line 6) +* mpz_fits_ushort_p: Miscellaneous Integer Functions. + (line 10) +* mpz_gcd: Number Theoretic Functions. + (line 38) +* mpz_gcdext: Number Theoretic Functions. + (line 54) +* mpz_gcd_ui: Number Theoretic Functions. + (line 44) +* mpz_getlimbn: Integer Special Functions. + (line 22) +* mpz_get_d: Converting Integers. (line 26) +* mpz_get_d_2exp: Converting Integers. (line 34) +* mpz_get_si: Converting Integers. (line 17) +* mpz_get_str: Converting Integers. (line 46) +* mpz_get_ui: Converting Integers. (line 10) +* mpz_hamdist: Integer Logic and Bit Fiddling. + (line 28) +* mpz_import: Integer Import and Export. + (line 9) +* mpz_init: Initializing Integers. + (line 25) +* mpz_init2: Initializing Integers. + (line 32) +* mpz_inits: Initializing Integers. + (line 28) +* mpz_init_set: Simultaneous Integer Init & Assign. + (line 26) +* mpz_init_set_d: Simultaneous Integer Init & Assign. + (line 29) +* mpz_init_set_si: Simultaneous Integer Init & Assign. + (line 28) +* mpz_init_set_str: Simultaneous Integer Init & Assign. + (line 33) +* mpz_init_set_ui: Simultaneous Integer Init & Assign. + (line 27) +* mpz_inp_raw: I/O of Integers. (line 61) +* mpz_inp_str: I/O of Integers. (line 30) +* mpz_invert: Number Theoretic Functions. + (line 81) +* mpz_ior: Integer Logic and Bit Fiddling. + (line 13) +* mpz_jacobi: Number Theoretic Functions. + (line 91) +* mpz_kronecker: Number Theoretic Functions. + (line 99) +* mpz_kronecker_si: Number Theoretic Functions. + (line 100) +* mpz_kronecker_ui: Number Theoretic Functions. + (line 101) +* mpz_lcm: Number Theoretic Functions. + (line 74) +* mpz_lcm_ui: Number Theoretic Functions. + (line 75) +* mpz_legendre: Number Theoretic Functions. + (line 94) +* mpz_limbs_finish: Integer Special Functions. + (line 47) +* mpz_limbs_modify: Integer Special Functions. + (line 40) +* mpz_limbs_read: Integer Special Functions. + (line 34) +* mpz_limbs_write: Integer Special Functions. + (line 39) +* mpz_lucnum2_ui: Number Theoretic Functions. + (line 154) +* mpz_lucnum_ui: Number Theoretic Functions. + (line 153) +* mpz_mfac_uiui: Number Theoretic Functions. + (line 123) +* mpz_mod: Integer Division. (line 112) +* mpz_mod_ui: Integer Division. (line 113) +* mpz_mul: Integer Arithmetic. (line 18) +* mpz_mul_2exp: Integer Arithmetic. (line 36) +* mpz_mul_si: Integer Arithmetic. (line 19) +* mpz_mul_ui: Integer Arithmetic. (line 20) +* mpz_neg: Integer Arithmetic. (line 41) +* mpz_nextprime: Number Theoretic Functions. + (line 22) +* mpz_odd_p: Miscellaneous Integer Functions. + (line 16) +* mpz_out_raw: I/O of Integers. (line 45) +* mpz_out_str: I/O of Integers. (line 17) +* mpz_perfect_power_p: Integer Roots. (line 27) +* mpz_perfect_square_p: Integer Roots. (line 36) +* mpz_popcount: Integer Logic and Bit Fiddling. + (line 22) +* mpz_powm: Integer Exponentiation. + (line 6) +* mpz_powm_sec: Integer Exponentiation. + (line 16) +* mpz_powm_ui: Integer Exponentiation. + (line 8) +* mpz_pow_ui: Integer Exponentiation. + (line 29) +* mpz_prevprime: Number Theoretic Functions. + (line 25) +* mpz_primorial_ui: Number Theoretic Functions. + (line 129) +* mpz_probab_prime_p: Number Theoretic Functions. + (line 6) +* mpz_ptr: Nomenclature and Types. + (line 55) +* mpz_random: Integer Random Numbers. + (line 41) +* mpz_random2: Integer Random Numbers. + (line 50) +* mpz_realloc2: Initializing Integers. + (line 56) +* mpz_remove: Number Theoretic Functions. + (line 115) +* mpz_roinit_n: Integer Special Functions. + (line 67) +* MPZ_ROINIT_N: Integer Special Functions. + (line 83) +* mpz_root: Integer Roots. (line 6) +* mpz_rootrem: Integer Roots. (line 12) +* mpz_rrandomb: Integer Random Numbers. + (line 29) +* mpz_scan0: Integer Logic and Bit Fiddling. + (line 35) +* mpz_scan1: Integer Logic and Bit Fiddling. + (line 37) +* mpz_set: Assigning Integers. (line 9) +* mpz_setbit: Integer Logic and Bit Fiddling. + (line 51) +* mpz_set_d: Assigning Integers. (line 12) +* mpz_set_f: Assigning Integers. (line 14) +* mpz_set_q: Assigning Integers. (line 13) +* mpz_set_si: Assigning Integers. (line 11) +* mpz_set_str: Assigning Integers. (line 20) +* mpz_set_ui: Assigning Integers. (line 10) +* mpz_sgn: Integer Comparisons. (line 27) +* mpz_size: Integer Special Functions. + (line 30) +* mpz_sizeinbase: Miscellaneous Integer Functions. + (line 22) +* mpz_si_kronecker: Number Theoretic Functions. + (line 102) +* mpz_sqrt: Integer Roots. (line 17) +* mpz_sqrtrem: Integer Roots. (line 20) +* mpz_srcptr: Nomenclature and Types. + (line 55) +* mpz_sub: Integer Arithmetic. (line 11) +* mpz_submul: Integer Arithmetic. (line 30) +* mpz_submul_ui: Integer Arithmetic. (line 32) +* mpz_sub_ui: Integer Arithmetic. (line 12) +* mpz_swap: Assigning Integers. (line 36) +* mpz_t: Nomenclature and Types. + (line 6) +* mpz_tdiv_q: Integer Division. (line 54) +* mpz_tdiv_qr: Integer Division. (line 56) +* mpz_tdiv_qr_ui: Integer Division. (line 63) +* mpz_tdiv_q_2exp: Integer Division. (line 68) +* mpz_tdiv_q_ui: Integer Division. (line 59) +* mpz_tdiv_r: Integer Division. (line 55) +* mpz_tdiv_r_2exp: Integer Division. (line 71) +* mpz_tdiv_r_ui: Integer Division. (line 61) +* mpz_tdiv_ui: Integer Division. (line 65) +* mpz_tstbit: Integer Logic and Bit Fiddling. + (line 60) +* mpz_ui_kronecker: Number Theoretic Functions. + (line 103) +* mpz_ui_pow_ui: Integer Exponentiation. + (line 31) +* mpz_ui_sub: Integer Arithmetic. (line 14) +* mpz_urandomb: Integer Random Numbers. + (line 12) +* mpz_urandomm: Integer Random Numbers. + (line 21) +* mpz_xor: Integer Logic and Bit Fiddling. + (line 16) +* mp_bitcnt_t: Nomenclature and Types. + (line 42) +* mp_bits_per_limb: Useful Macros and Constants. + (line 7) +* mp_exp_t: Nomenclature and Types. + (line 27) +* mp_get_memory_functions: Custom Allocation. (line 86) +* mp_limb_t: Nomenclature and Types. + (line 31) +* mp_set_memory_functions: Custom Allocation. (line 14) +* mp_size_t: Nomenclature and Types. + (line 37) +* operator"": C++ Interface Integers. + (line 29) +* operator"" <1>: C++ Interface Rationals. + (line 36) +* operator"" <2>: C++ Interface Floats. + (line 55) +* operator%: C++ Interface Integers. + (line 34) +* operator/: C++ Interface Integers. + (line 33) +* operator<<: C++ Formatted Output. + (line 10) +* operator<< <1>: C++ Formatted Output. + (line 19) +* operator<< <2>: C++ Formatted Output. + (line 32) +* operator>>: C++ Formatted Input. (line 10) +* operator>> <1>: C++ Formatted Input. (line 13) +* operator>> <2>: C++ Formatted Input. (line 24) +* operator>> <3>: C++ Interface Rationals. + (line 86) +* primorial: C++ Interface Integers. + (line 73) +* sgn: C++ Interface Integers. + (line 65) +* sgn <1>: C++ Interface Rationals. + (line 56) +* sgn <2>: C++ Interface Floats. + (line 106) +* sqrt: C++ Interface Integers. + (line 66) +* sqrt <1>: C++ Interface Floats. + (line 107) +* swap: C++ Interface Integers. + (line 78) +* swap <1>: C++ Interface Rationals. + (line 59) +* swap <2>: C++ Interface Floats. + (line 110) +* trunc: C++ Interface Floats. + (line 111) + diff --git a/misc/builddeps/emscripten/ode/bin/ode-config b/misc/builddeps/emscripten/ode/bin/ode-config new file mode 100755 index 00000000..dddc75da --- /dev/null +++ b/misc/builddeps/emscripten/ode/bin/ode-config @@ -0,0 +1,53 @@ +#!/bin/sh + +prefix=/usr/local +exec_prefix=${prefix} +exec_prefix_set=no + +usage="\ +Usage: ode-config [--prefix[=DIR]] [--exec-prefix[=DIR]] [--version] [--cflags] [--libs]" + +if test $# -eq 0; then + echo "${usage}" 1>&2 + exit 1 +fi + +while test $# -gt 0; do + case "$1" in + -*=*) optarg=`echo "$1" | sed 's/[-_a-zA-Z0-9]*=//'` ;; + *) optarg= ;; + esac + + case $1 in + --prefix=*) + prefix=$optarg + if test $exec_prefix_set = no ; then + exec_prefix=$optarg + fi + ;; + --prefix) + echo $prefix + ;; + --exec-prefix=*) + exec_prefix=$optarg + exec_prefix_set=yes + ;; + --exec-prefix) + echo $exec_prefix + ;; + --version) + echo 0.12 + ;; + --cflags) + echo -I${prefix}/include -DdDOUBLE + ;; + --libs) + echo -L${exec_prefix}/lib -lode + ;; + *) + echo "${usage}" 1>&2 + exit 1 + ;; + esac + shift +done diff --git a/misc/builddeps/emscripten/ode/include/Makefile.am b/misc/builddeps/emscripten/ode/include/Makefile.am new file mode 100644 index 00000000..2f77d2ed --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/Makefile.am @@ -0,0 +1 @@ +SUBDIRS = ode \ No newline at end of file diff --git a/misc/builddeps/emscripten/ode/include/Makefile.in b/misc/builddeps/emscripten/ode/include/Makefile.in new file 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+/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001-2003 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +/** @defgroup drawstuff DrawStuff + +DrawStuff is a library for rendering simple 3D objects in a virtual +environment, for the purposes of demonstrating the features of ODE. +It is provided for demonstration purposes and is not intended for +production use. + +@section Notes + +In the virtual world, the z axis is "up" and z=0 is the floor. + +The user is able to click+drag in the main window to move the camera: + * left button - pan and tilt. + * right button - forward and sideways. + * left + right button (or middle button) - sideways and up. +*/ + + +#ifndef __DRAWSTUFF_H__ +#define __DRAWSTUFF_H__ + +#ifdef __cplusplus +extern "C" { +#endif + + +#include + + +/* texture numbers */ +#define DS_NONE 0 /* uses the current color instead of a texture */ +#define DS_WOOD 1 + + +/** + * @struct dsFunctions + * @brief Set of functions to be used as callbacks by the simulation loop. + * @ingroup drawstuff + */ +typedef struct dsFunctions { + int version; /* put DS_VERSION here */ + /* version 1 data */ + void (*start)(); /* called before sim loop starts */ + void (*step) (int pause); /* called before every frame */ + void (*command) (int cmd); /* called if a command key is pressed */ + void (*stop)(); /* called after sim loop exits */ + /* version 2 data */ + char *path_to_textures; /* if nonzero, path to texture files */ +} dsFunctions; + + +/** + * @brief Does the complete simulation. + * @ingroup drawstuff + * This function starts running the simulation, and only exits when the simulation is done. + * Function pointers should be provided for the callbacks. + * @param argv supports flags like '-notex' '-noshadow' '-pause' + * @param fn Callback functions. + */ +void dsSimulationLoop (int argc, char **argv, + int window_width, int window_height, + struct dsFunctions *fn); + +/** + * @brief exit with error message. + * @ingroup drawstuff + * This function displays an error message then exit. + * @param msg format strin, like printf, without the newline character. + */ +void dsError (char *msg, ...); + +/** + * @brief exit with error message and core dump. + * @ingroup drawstuff + * this functions tries to dump core or start the debugger. + * @param msg format strin, like printf, without the newline character. + */ +void dsDebug (char *msg, ...); + +/** + * @brief print log message + * @ingroup drawstuff + * @param msg format string, like printf, without the \n. + */ +void dsPrint (char *msg, ...); + +/** + * @brief Sets the viewpoint + * @ingroup drawstuff + * @param xyz camera position. + * @param hpr contains heading, pitch and roll numbers in degrees. heading=0 + * points along the x axis, pitch=0 is looking towards the horizon, and + * roll 0 is "unrotated". + */ +void dsSetViewpoint (float xyz[3], float hpr[3]); + + +/** + * @brief Gets the viewpoint + * @ingroup drawstuff + * @param xyz position + * @param hpr heading,pitch,roll. + */ +void dsGetViewpoint (float xyz[3], float hpr[3]); + +/** + * @brief Stop the simulation loop. + * @ingroup drawstuff + * Calling this from within dsSimulationLoop() + * will cause it to exit and return to the caller. it is the same as if the + * user used the exit command. using this outside the loop will have no + * effect. + */ +void dsStop(); + +/** + * @brief Get the elapsed time (on wall-clock) + * @ingroup drawstuff + * It returns the nr of seconds since the last call to this function. + */ +double dsElapsedTime(); + +/** + * @brief Toggle the rendering of textures. + * @ingroup drawstuff + * It changes the way objects are drawn. these changes will apply to all further + * dsDrawXXX() functions. + * @param the texture number must be a DS_xxx texture constant. + * The current texture is colored according to the current color. + * At the start of each frame, the texture is reset to none and the color is + * reset to white. + */ +void dsSetTexture (int texture_number); + +/** + * @brief Set the color with which geometry is drawn. + * @ingroup drawstuff + * @param red Red component from 0 to 1 + * @param green Green component from 0 to 1 + * @param blue Blue component from 0 to 1 + */ +void dsSetColor (float red, float green, float blue); + +/** + * @brief Set the color and transparency with which geometry is drawn. + * @ingroup drawstuff + * @param alpha Note that alpha transparency is a misnomer: it is alpha opacity. + * 1.0 means fully opaque, and 0.0 means fully transparent. + */ +void dsSetColorAlpha (float red, float green, float blue, float alpha); + +/** + * @brief Draw a box. + * @ingroup drawstuff + * @param pos is the x,y,z of the center of the object. + * @param R is a 3x3 rotation matrix for the object, stored by row like this: + * [ R11 R12 R13 0 ] + * [ R21 R22 R23 0 ] + * [ R31 R32 R33 0 ] + * @param sides[] is an array of x,y,z side lengths. + */ +void dsDrawBox (const float pos[3], const float R[12], const float sides[3]); + +/** + * @brief Draw a sphere. + * @ingroup drawstuff + * @param pos Position of center. + * @param R orientation. + * @param radius + */ +void dsDrawSphere (const float pos[3], const float R[12], float radius); + +/** + * @brief Draw a triangle. + * @ingroup drawstuff + * @param pos Position of center + * @param R orientation + * @param v0 first vertex + * @param v1 second + * @param v2 third vertex + * @param solid set to 0 for wireframe + */ +void dsDrawTriangle (const float pos[3], const float R[12], + const float *v0, const float *v1, const float *v2, int solid); + +/** + * @brief Draw a z-aligned cylinder + * @ingroup drawstuff + */ +void dsDrawCylinder (const float pos[3], const float R[12], + float length, float radius); + +/** + * @brief Draw a z-aligned capsule + * @ingroup drawstuff + */ +void dsDrawCapsule (const float pos[3], const float R[12], + float length, float radius); + +/** + * @brief Draw a line. + * @ingroup drawstuff + */ +void dsDrawLine (const float pos1[3], const float pos2[3]); + +/** + * @brief Draw a convex shape. + * @ingroup drawstuff + */ +void dsDrawConvex(const float pos[3], const float R[12], + float *_planes, + unsigned int _planecount, + float *_points, + unsigned int _pointcount, + unsigned int *_polygons); + + /* these drawing functions are identical to the ones above, except they take + * double arrays for `pos' and `R'. + */ +void dsDrawBoxD (const double pos[3], const double R[12], + const double sides[3]); +void dsDrawSphereD (const double pos[3], const double R[12], + const float radius); +void dsDrawTriangleD (const double pos[3], const double R[12], + const double *v0, const double *v1, const double *v2, int solid); +void dsDrawCylinderD (const double pos[3], const double R[12], + float length, float radius); +void dsDrawCapsuleD (const double pos[3], const double R[12], + float length, float radius); +void dsDrawLineD (const double pos1[3], const double pos2[3]); +void dsDrawConvexD(const double pos[3], const double R[12], + double *_planes, + unsigned int _planecount, + double *_points, + unsigned int _pointcount, + unsigned int *_polygons); + +/** + * @brief Set the quality with which curved objects are rendered. + * @ingroup drawstuff + * Higher numbers are higher quality, but slower to draw. + * This must be set before the first objects are drawn to be effective. + * Default sphere quality is 1, default capsule quality is 3. + */ +void dsSetSphereQuality (int n); /* default = 1 */ +void dsSetCapsuleQuality (int n); /* default = 3 */ + +// Backwards compatible API +#define dsDrawCappedCylinder dsDrawCapsule +#define dsDrawCappedCylinderD dsDrawCapsuleD +#define dsSetCappedCylinderQuality dsSetCapsuleQuality + +/* closing bracket for extern "C" */ +#ifdef __cplusplus +} +#endif + +#endif + diff --git a/misc/builddeps/emscripten/ode/include/drawstuff/version.h b/misc/builddeps/emscripten/ode/include/drawstuff/version.h new file mode 100644 index 00000000..71d95f46 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/drawstuff/version.h @@ -0,0 +1,29 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef __VERSION_H +#define __VERSION_H + +/* high byte is major version, low byte is minor version */ +#define DS_VERSION 0x0002 + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/Makefile.am b/misc/builddeps/emscripten/ode/include/ode/Makefile.am new file mode 100644 index 00000000..f2563a92 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/Makefile.am @@ -0,0 +1,24 @@ +libglitch_includedir = $(includedir)/ode +libglitch_include_HEADERS = collision_trimesh.h \ + mass.h \ + odecpp.h \ + common.h \ + matrix.h \ + odecpp_collision.h \ + compatibility.h \ + memory.h \ + odecpp_old.h \ + contact.h \ + misc.h \ + odemath.h \ + collision.h \ + error.h \ + objects.h \ + rotation.h \ + collision_space.h \ + export-dif.h \ + ode.h \ + timer.h \ + config.h + +EXTRA_DIST = config.h.in diff --git a/misc/builddeps/emscripten/ode/include/ode/Makefile.in b/misc/builddeps/emscripten/ode/include/ode/Makefile.in new file mode 100644 index 00000000..9fbd3faf --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/Makefile.in @@ -0,0 +1,445 @@ +# Makefile.in generated by automake 1.9.6 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, +# 2003, 2004, 2005 Free Software Foundation, Inc. +# This Makefile.in is free software; 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Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_COLLISION_H_ +#define _ODE_COLLISION_H_ + +#include +#include +#include + +#ifdef __cplusplus +extern "C" { +#endif + +/** + * @defgroup collide Collision Detection + * + * ODE has two main components: a dynamics simulation engine and a collision + * detection engine. The collision engine is given information about the + * shape of each body. At each time step it figures out which bodies touch + * each other and passes the resulting contact point information to the user. + * The user in turn creates contact joints between bodies. + * + * Using ODE's collision detection is optional - an alternative collision + * detection system can be used as long as it can supply the right kinds of + * contact information. + */ + + +/* ************************************************************************ */ +/* general functions */ + +/** + * @brief Destroy a geom, removing it from any space. + * + * Destroy a geom, removing it from any space it is in first. This one + * function destroys a geom of any type, but to create a geom you must call + * a creation function for that type. + * + * When a space is destroyed, if its cleanup mode is 1 (the default) then all + * the geoms in that space are automatically destroyed as well. + * + * @param geom the geom to be destroyed. + * @ingroup collide + */ +ODE_API void dGeomDestroy (dGeomID geom); + + +/** + * @brief Set the user-defined data pointer stored in the geom. + * + * @param geom the geom to hold the data + * @param data the data pointer to be stored + * @ingroup collide + */ +ODE_API void dGeomSetData (dGeomID geom, void* data); + + +/** + * @brief Get the user-defined data pointer stored in the geom. + * + * @param geom the geom containing the data + * @ingroup collide + */ +ODE_API void *dGeomGetData (dGeomID geom); + + +/** + * @brief Set the body associated with a placeable geom. + * + * Setting a body on a geom automatically combines the position vector and + * rotation matrix of the body and geom, so that setting the position or + * orientation of one will set the value for both objects. Setting a body + * ID of zero gives the geom its own position and rotation, independent + * from any body. If the geom was previously connected to a body then its + * new independent position/rotation is set to the current position/rotation + * of the body. + * + * Calling these functions on a non-placeable geom results in a runtime + * error in the debug build of ODE. + * + * @param geom the geom to connect + * @param body the body to attach to the geom + * @ingroup collide + */ +ODE_API void dGeomSetBody (dGeomID geom, dBodyID body); + + +/** + * @brief Get the body associated with a placeable geom. + * @param geom the geom to query. + * @sa dGeomSetBody + * @ingroup collide + */ +ODE_API dBodyID dGeomGetBody (dGeomID geom); + + +/** + * @brief Set the position vector of a placeable geom. + * + * If the geom is attached to a body, the body's position will also be changed. + * Calling this function on a non-placeable geom results in a runtime error in + * the debug build of ODE. + * + * @param geom the geom to set. + * @param x the new X coordinate. + * @param y the new Y coordinate. + * @param z the new Z coordinate. + * @sa dBodySetPosition + * @ingroup collide + */ +ODE_API void dGeomSetPosition (dGeomID geom, dReal x, dReal y, dReal z); + + +/** + * @brief Set the rotation matrix of a placeable geom. + * + * If the geom is attached to a body, the body's rotation will also be changed. + * Calling this function on a non-placeable geom results in a runtime error in + * the debug build of ODE. + * + * @param geom the geom to set. + * @param R the new rotation matrix. + * @sa dBodySetRotation + * @ingroup collide + */ +ODE_API void dGeomSetRotation (dGeomID geom, const dMatrix3 R); + + +/** + * @brief Set the rotation of a placeable geom. + * + * If the geom is attached to a body, the body's rotation will also be changed. + * + * Calling this function on a non-placeable geom results in a runtime error in + * the debug build of ODE. + * + * @param geom the geom to set. + * @param Q the new rotation. + * @sa dBodySetQuaternion + * @ingroup collide + */ +ODE_API void dGeomSetQuaternion (dGeomID geom, const dQuaternion Q); + + +/** + * @brief Get the position vector of a placeable geom. + * + * If the geom is attached to a body, the body's position will be returned. + * + * Calling this function on a non-placeable geom results in a runtime error in + * the debug build of ODE. + * + * @param geom the geom to query. + * @returns A pointer to the geom's position vector. + * @remarks The returned value is a pointer to the geom's internal + * data structure. It is valid until any changes are made + * to the geom. + * @sa dBodyGetPosition + * @ingroup collide + */ +ODE_API const dReal * dGeomGetPosition (dGeomID geom); + + +/** + * @brief Get the rotation matrix of a placeable geom. + * + * If the geom is attached to a body, the body's rotation will be returned. + * + * Calling this function on a non-placeable geom results in a runtime error in + * the debug build of ODE. + * + * @param geom the geom to query. + * @returns A pointer to the geom's rotation matrix. + * @remarks The returned value is a pointer to the geom's internal + * data structure. It is valid until any changes are made + * to the geom. + * @sa dBodyGetRotation + * @ingroup collide + */ +ODE_API const dReal * dGeomGetRotation (dGeomID geom); + + +/** + * @brief Get the rotation quaternion of a placeable geom. + * + * If the geom is attached to a body, the body's quaternion will be returned. + * + * Calling this function on a non-placeable geom results in a runtime error in + * the debug build of ODE. + * + * @param geom the geom to query. + * @param result a copy of the rotation quaternion. + * @sa dBodyGetQuaternion + * @ingroup collide + */ +ODE_API void dGeomGetQuaternion (dGeomID geom, dQuaternion result); + + +/** + * @brief Return the axis-aligned bounding box. + * + * Return in aabb an axis aligned bounding box that surrounds the given geom. + * The aabb array has elements (minx, maxx, miny, maxy, minz, maxz). If the + * geom is a space, a bounding box that surrounds all contained geoms is + * returned. + * + * This function may return a pre-computed cached bounding box, if it can + * determine that the geom has not moved since the last time the bounding + * box was computed. + * + * @param geom the geom to query + * @param aabb the returned bounding box + * @ingroup collide + */ +ODE_API void dGeomGetAABB (dGeomID geom, dReal aabb[6]); + + +/** + * @brief Determing if a geom is a space. + * @param geom the geom to query + * @returns Non-zero if the geom is a space, zero otherwise. + * @ingroup collide + */ +ODE_API int dGeomIsSpace (dGeomID geom); + + +/** + * @brief Query for the space containing a particular geom. + * @param geom the geom to query + * @returns The space that contains the geom, or NULL if the geom is + * not contained by a space. + * @ingroup collide + */ +ODE_API dSpaceID dGeomGetSpace (dGeomID); + + +/** + * @brief Given a geom, this returns its class. + * + * The ODE classes are: + * @li dSphereClass + * @li dBoxClass + * @li dCylinderClass + * @li dPlaneClass + * @li dRayClass + * @li dConvexClass + * @li dGeomTransformClass + * @li dTriMeshClass + * @li dSimpleSpaceClass + * @li dHashSpaceClass + * @li dQuadTreeSpaceClass + * @li dFirstUserClass + * @li dLastUserClass + * + * User-defined class will return their own number. + * + * @param geom the geom to query + * @returns The geom class ID. + * @ingroup collide + */ +ODE_API int dGeomGetClass (dGeomID geom); + + +/** + * @brief Set the "category" bitfield for the given geom. + * + * The category bitfield is used by spaces to govern which geoms will + * interact with each other. The bitfield is guaranteed to be at least + * 32 bits wide. The default category values for newly created geoms + * have all bits set. + * + * @param geom the geom to set + * @param bits the new bitfield value + * @ingroup collide + */ +ODE_API void dGeomSetCategoryBits (dGeomID geom, unsigned long bits); + + +/** + * @brief Set the "collide" bitfield for the given geom. + * + * The collide bitfield is used by spaces to govern which geoms will + * interact with each other. The bitfield is guaranteed to be at least + * 32 bits wide. The default category values for newly created geoms + * have all bits set. + * + * @param geom the geom to set + * @param bits the new bitfield value + * @ingroup collide + */ +ODE_API void dGeomSetCollideBits (dGeomID geom, unsigned long bits); + + +/** + * @brief Get the "category" bitfield for the given geom. + * + * @param geom the geom to set + * @param bits the new bitfield value + * @sa dGeomSetCategoryBits + * @ingroup collide + */ +ODE_API unsigned long dGeomGetCategoryBits (dGeomID); + + +/** + * @brief Get the "collide" bitfield for the given geom. + * + * @param geom the geom to set + * @param bits the new bitfield value + * @sa dGeomSetCollideBits + * @ingroup collide + */ +ODE_API unsigned long dGeomGetCollideBits (dGeomID); + + +/** + * @brief Enable a geom. + * + * Disabled geoms are completely ignored by dSpaceCollide and dSpaceCollide2, + * although they can still be members of a space. New geoms are created in + * the enabled state. + * + * @param geom the geom to enable + * @sa dGeomDisable + * @sa dGeomIsEnabled + * @ingroup collide + */ +ODE_API void dGeomEnable (dGeomID geom); + + +/** + * @brief Disable a geom. + * + * Disabled geoms are completely ignored by dSpaceCollide and dSpaceCollide2, + * although they can still be members of a space. New geoms are created in + * the enabled state. + * + * @param geom the geom to disable + * @sa dGeomDisable + * @sa dGeomIsEnabled + * @ingroup collide + */ +ODE_API void dGeomDisable (dGeomID geom); + + +/** + * @brief Check to see if a geom is enabled. + * + * Disabled geoms are completely ignored by dSpaceCollide and dSpaceCollide2, + * although they can still be members of a space. New geoms are created in + * the enabled state. + * + * @param geom the geom to query + * @returns Non-zero if the geom is enabled, zero otherwise. + * @sa dGeomDisable + * @sa dGeomIsEnabled + * @ingroup collide + */ +ODE_API int dGeomIsEnabled (dGeomID geom); + +/* ************************************************************************ */ +/* geom offset from body */ + +/** + * @brief Set the local offset position of a geom from its body. + * + * Sets the geom's positional offset in local coordinates. + * After this call, the geom will be at a new position determined from the + * body's position and the offset. + * The geom must be attached to a body. + * If the geom did not have an offset, it is automatically created. + * + * @param geom the geom to set. + * @param x the new X coordinate. + * @param y the new Y coordinate. + * @param z the new Z coordinate. + * @ingroup collide + */ +ODE_API void dGeomSetOffsetPosition (dGeomID geom, dReal x, dReal y, dReal z); + + +/** + * @brief Set the local offset rotation matrix of a geom from its body. + * + * Sets the geom's rotational offset in local coordinates. + * After this call, the geom will be at a new position determined from the + * body's position and the offset. + * The geom must be attached to a body. + * If the geom did not have an offset, it is automatically created. + * + * @param geom the geom to set. + * @param R the new rotation matrix. + * @ingroup collide + */ +ODE_API void dGeomSetOffsetRotation (dGeomID geom, const dMatrix3 R); + + +/** + * @brief Set the local offset rotation of a geom from its body. + * + * Sets the geom's rotational offset in local coordinates. + * After this call, the geom will be at a new position determined from the + * body's position and the offset. + * The geom must be attached to a body. + * If the geom did not have an offset, it is automatically created. + * + * @param geom the geom to set. + * @param Q the new rotation. + * @ingroup collide + */ +ODE_API void dGeomSetOffsetQuaternion (dGeomID geom, const dQuaternion Q); + + +/** + * @brief Set the offset position of a geom from its body. + * + * Sets the geom's positional offset to move it to the new world + * coordinates. + * After this call, the geom will be at the world position passed in, + * and the offset will be the difference from the current body position. + * The geom must be attached to a body. + * If the geom did not have an offset, it is automatically created. + * + * @param geom the geom to set. + * @param x the new X coordinate. + * @param y the new Y coordinate. + * @param z the new Z coordinate. + * @ingroup collide + */ +ODE_API void dGeomSetOffsetWorldPosition (dGeomID geom, dReal x, dReal y, dReal z); + + +/** + * @brief Set the offset rotation of a geom from its body. + * + * Sets the geom's rotational offset to orient it to the new world + * rotation matrix. + * After this call, the geom will be at the world orientation passed in, + * and the offset will be the difference from the current body orientation. + * The geom must be attached to a body. + * If the geom did not have an offset, it is automatically created. + * + * @param geom the geom to set. + * @param R the new rotation matrix. + * @ingroup collide + */ +ODE_API void dGeomSetOffsetWorldRotation (dGeomID geom, const dMatrix3 R); + + +/** + * @brief Set the offset rotation of a geom from its body. + * + * Sets the geom's rotational offset to orient it to the new world + * rotation matrix. + * After this call, the geom will be at the world orientation passed in, + * and the offset will be the difference from the current body orientation. + * The geom must be attached to a body. + * If the geom did not have an offset, it is automatically created. + * + * @param geom the geom to set. + * @param Q the new rotation. + * @ingroup collide + */ +ODE_API void dGeomSetOffsetWorldQuaternion (dGeomID geom, const dQuaternion); + + +/** + * @brief Clear any offset from the geom. + * + * If the geom has an offset, it is eliminated and the geom is + * repositioned at the body's position. If the geom has no offset, + * this function does nothing. + * This is more efficient than calling dGeomSetOffsetPosition(zero) + * and dGeomSetOffsetRotation(identiy), because this function actually + * eliminates the offset, rather than leaving it as the identity transform. + * + * @param geom the geom to have its offset destroyed. + * @ingroup collide + */ +ODE_API void dGeomClearOffset(dGeomID geom); + + +/** + * @brief Check to see whether the geom has an offset. + * + * This function will return non-zero if the offset has been created. + * Note that there is a difference between a geom with no offset, + * and a geom with an offset that is the identity transform. + * In the latter case, although the observed behaviour is identical, + * there is a unnecessary computation involved because the geom will + * be applying the transform whenever it needs to recalculate its world + * position. + * + * @param geom the geom to query. + * @returns Non-zero if the geom has an offset, zero otherwise. + * @ingroup collide + */ +ODE_API int dGeomIsOffset(dGeomID geom); + + +/** + * @brief Get the offset position vector of a geom. + * + * Returns the positional offset of the geom in local coordinates. + * If the geom has no offset, this function returns the zero vector. + * + * @param geom the geom to query. + * @returns A pointer to the geom's offset vector. + * @remarks The returned value is a pointer to the geom's internal + * data structure. It is valid until any changes are made + * to the geom. + * @ingroup collide + */ +ODE_API const dReal * dGeomGetOffsetPosition (dGeomID geom); + + +/** + * @brief Get the offset position vector of a geom. + * + * Returns the positional offset of the geom in local coordinates. + * If the geom has no offset, this function returns the zero vector. + * + * @param geom the geom to query. + * @returns A pointer to the geom's offset vector. + * @remarks The returned value is a pointer to the geom's internal + * data structure. It is valid until any changes are made + * to the geom. + * @ingroup collide + */ +ODE_API const dReal * dGeomGetOffsetRotation (dGeomID geom); + + +/** + * @brief Get the offset rotation quaternion of a geom. + * + * Returns the rotation offset of the geom as a quaternion. + * If the geom has no offset, the identity quaternion is returned. + * + * @param geom the geom to query. + * @param result a copy of the rotation quaternion. + * @ingroup collide + */ +ODE_API void dGeomGetOffsetQuaternion (dGeomID geom, dQuaternion result); + +/* ************************************************************************ */ +/* collision detection */ + +/** + * + * @brief Given two geoms o1 and o2 that potentially intersect, + * generate contact information for them. + * + * Internally, this just calls the correct class-specific collision + * functions for o1 and o2. + * + * @param o1 The first geom to test. + * @param o2 The second geom to test. + * + * @param flags The flags specify how contacts should be generated if + * the geoms touch. The lower 16 bits of flags is an integer that + * specifies the maximum number of contact points to generate. Note + * that if this number is zero, this function just pretends that it is + * one -- in other words you can not ask for zero contacts. All other bits + * in flags must be zero. In the future the other bits may be used to + * select from different contact generation strategies. + * + * @param contact Points to an array of dContactGeom structures. The array + * must be able to hold at least the maximum number of contacts. These + * dContactGeom structures may be embedded within larger structures in the + * array -- the skip parameter is the byte offset from one dContactGeom to + * the next in the array. If skip is sizeof(dContactGeom) then contact + * points to a normal (C-style) array. It is an error for skip to be smaller + * than sizeof(dContactGeom). + * + * @returns If the geoms intersect, this function returns the number of contact + * points generated (and updates the contact array), otherwise it returns 0 + * (and the contact array is not touched). + * + * @remarks If a space is passed as o1 or o2 then this function will collide + * all objects contained in o1 with all objects contained in o2, and return + * the resulting contact points. This method for colliding spaces with geoms + * (or spaces with spaces) provides no user control over the individual + * collisions. To get that control, use dSpaceCollide or dSpaceCollide2 instead. + * + * @remarks If o1 and o2 are the same geom then this function will do nothing + * and return 0. Technically speaking an object intersects with itself, but it + * is not useful to find contact points in this case. + * + * @remarks This function does not care if o1 and o2 are in the same space or not + * (or indeed if they are in any space at all). + * + * @ingroup collide + */ +ODE_API int dCollide (dGeomID o1, dGeomID o2, int flags, dContactGeom *contact, + int skip); + +/** + * @brief Determines which pairs of geoms in a space may potentially intersect, + * and calls the callback function for each candidate pair. + * + * @param space The space to test. + * + * @param data Passed from dSpaceCollide directly to the callback + * function. Its meaning is user defined. The o1 and o2 arguments are the + * geoms that may be near each other. + * + * @param callback A callback function is of type @ref dNearCallback. + * + * @remarks Other spaces that are contained within the colliding space are + * not treated specially, i.e. they are not recursed into. The callback + * function may be passed these contained spaces as one or both geom + * arguments. + * + * @remarks dSpaceCollide() is guaranteed to pass all intersecting geom + * pairs to the callback function, but may also pass close but + * non-intersecting pairs. The number of these calls depends on the + * internal algorithms used by the space. Thus you should not expect + * that dCollide will return contacts for every pair passed to the + * callback. + * + * @sa dSpaceCollide2 + * @ingroup collide + */ +ODE_API void dSpaceCollide (dSpaceID space, void *data, dNearCallback *callback); + + +/** + * @brief Determines which geoms from one space may potentially intersect with + * geoms from another space, and calls the callback function for each candidate + * pair. + * + * @param space1 The first space to test. + * + * @param space2 The second space to test. + * + * @param data Passed from dSpaceCollide directly to the callback + * function. Its meaning is user defined. The o1 and o2 arguments are the + * geoms that may be near each other. + * + * @param callback A callback function is of type @ref dNearCallback. + * + * @remarks This function can also test a single non-space geom against a + * space. This function is useful when there is a collision hierarchy, i.e. + * when there are spaces that contain other spaces. + * + * @remarks Other spaces that are contained within the colliding space are + * not treated specially, i.e. they are not recursed into. The callback + * function may be passed these contained spaces as one or both geom + * arguments. + * + * @remarks dSpaceCollide2() is guaranteed to pass all intersecting geom + * pairs to the callback function, but may also pass close but + * non-intersecting pairs. The number of these calls depends on the + * internal algorithms used by the space. Thus you should not expect + * that dCollide will return contacts for every pair passed to the + * callback. + * + * @sa dSpaceCollide + * @ingroup collide + */ +ODE_API void dSpaceCollide2 (dGeomID space1, dGeomID space2, void *data, dNearCallback *callback); + + +/* ************************************************************************ */ +/* standard classes */ + +/* the maximum number of user classes that are supported */ +enum { + dMaxUserClasses = 4 +}; + +/* class numbers - each geometry object needs a unique number */ +enum { + dSphereClass = 0, + dBoxClass, + dCapsuleClass, + dCylinderClass, + dPlaneClass, + dRayClass, + dConvexClass, + dGeomTransformClass, + dTriMeshClass, + dHeightfieldClass, + + dFirstSpaceClass, + dSimpleSpaceClass = dFirstSpaceClass, + dHashSpaceClass, + dQuadTreeSpaceClass, + dLastSpaceClass = dQuadTreeSpaceClass, + + dFirstUserClass, + dLastUserClass = dFirstUserClass + dMaxUserClasses - 1, + dGeomNumClasses +}; + + +/** + * @defgroup collide_sphere Sphere Class + * @ingroup collide + */ + +/** + * @brief Create a sphere geom of the given radius, and return its ID. + * + * @param space a space to contain the new geom. May be null. + * @param radius the radius of the sphere. + * + * @returns A new sphere geom. + * + * @remarks The point of reference for a sphere is its center. + * + * @sa dGeomDestroy + * @sa dGeomSphereSetRadius + * @ingroup collide_sphere + */ +ODE_API dGeomID dCreateSphere (dSpaceID space, dReal radius); + + +/** + * @brief Set the radius of a sphere geom. + * + * @param sphere the sphere to set. + * @param radius the new radius. + * + * @sa dGeomSphereGetRadius + * @ingroup collide_sphere + */ +ODE_API void dGeomSphereSetRadius (dGeomID sphere, dReal radius); + + +/** + * @brief Retrieves the radius of a sphere geom. + * + * @param sphere the sphere to query. + * + * @sa dGeomSphereSetRadius + * @ingroup collide_sphere + */ +ODE_API dReal dGeomSphereGetRadius (dGeomID sphere); + + +/** + * @brief Calculate the depth of the a given point within a sphere. + * + * @param sphere the sphere to query. + * @param x the X coordinate of the point. + * @param y the Y coordinate of the point. + * @param z the Z coordinate of the point. + * + * @returns The depth of the point. Points inside the sphere will have a + * positive depth, points outside it will have a negative depth, and points + * on the surface will have a depth of zero. + * + * @ingroup collide_sphere + */ +ODE_API dReal dGeomSpherePointDepth (dGeomID sphere, dReal x, dReal y, dReal z); + + +//--> Convex Functions +ODE_API dGeomID dCreateConvex (dSpaceID space, + dReal *_planes, + unsigned int _planecount, + dReal *_points, + unsigned int _pointcount,unsigned int *_polygons); + +ODE_API void dGeomSetConvex (dGeomID g, + dReal *_planes, + unsigned int _count, + dReal *_points, + unsigned int _pointcount,unsigned int *_polygons); +//<-- Convex Functions + +/** + * @defgroup collide_box Box Class + * @ingroup collide + */ + +/** + * @brief Create a box geom with the provided side lengths. + * + * @param space a space to contain the new geom. May be null. + * @param lx the length of the box along the X axis + * @param ly the length of the box along the Y axis + * @param lz the length of the box along the Z axis + * + * @returns A new box geom. + * + * @remarks The point of reference for a box is its center. + * + * @sa dGeomDestroy + * @sa dGeomBoxSetLengths + * @ingroup collide_box + */ +ODE_API dGeomID dCreateBox (dSpaceID space, dReal lx, dReal ly, dReal lz); + + +/** + * @brief Set the side lengths of the given box. + * + * @param box the box to set + * @param lx the length of the box along the X axis + * @param ly the length of the box along the Y axis + * @param lz the length of the box along the Z axis + * + * @sa dGeomBoxGetLengths + * @ingroup collide_box + */ +ODE_API void dGeomBoxSetLengths (dGeomID box, dReal lx, dReal ly, dReal lz); + + +/** + * @brief Get the side lengths of a box. + * + * @param box the box to query + * @param result the returned side lengths + * + * @sa dGeomBoxSetLengths + * @ingroup collide_box + */ +ODE_API void dGeomBoxGetLengths (dGeomID box, dVector3 result); + + +/** + * @brief Return the depth of a point in a box. + * + * @param box the box to query + * @param x the X coordinate of the point to test. + * @param y the Y coordinate of the point to test. + * @param z the Z coordinate of the point to test. + * + * @returns The depth of the point. Points inside the box will have a + * positive depth, points outside it will have a negative depth, and points + * on the surface will have a depth of zero. + */ +ODE_API dReal dGeomBoxPointDepth (dGeomID box, dReal x, dReal y, dReal z); + + +ODE_API dGeomID dCreatePlane (dSpaceID space, dReal a, dReal b, dReal c, dReal d); +ODE_API void dGeomPlaneSetParams (dGeomID plane, dReal a, dReal b, dReal c, dReal d); +ODE_API void dGeomPlaneGetParams (dGeomID plane, dVector4 result); +ODE_API dReal dGeomPlanePointDepth (dGeomID plane, dReal x, dReal y, dReal z); + +ODE_API dGeomID dCreateCapsule (dSpaceID space, dReal radius, dReal length); +ODE_API void dGeomCapsuleSetParams (dGeomID ccylinder, dReal radius, dReal length); +ODE_API void dGeomCapsuleGetParams (dGeomID ccylinder, dReal *radius, dReal *length); +ODE_API dReal dGeomCapsulePointDepth (dGeomID ccylinder, dReal x, dReal y, dReal z); + +// For now we want to have a backwards compatible C-API, note: C++ API is not. +#define dCreateCCylinder dCreateCapsule +#define dGeomCCylinderSetParams dGeomCapsuleSetParams +#define dGeomCCylinderGetParams dGeomCapsuleGetParams +#define dGeomCCylinderPointDepth dGeomCapsulePointDepth +#define dCCylinderClass dCapsuleClass + +ODE_API dGeomID dCreateCylinder (dSpaceID space, dReal radius, dReal length); +ODE_API void dGeomCylinderSetParams (dGeomID cylinder, dReal radius, dReal length); +ODE_API void dGeomCylinderGetParams (dGeomID cylinder, dReal *radius, dReal *length); + +ODE_API dGeomID dCreateRay (dSpaceID space, dReal length); +ODE_API void dGeomRaySetLength (dGeomID ray, dReal length); +ODE_API dReal dGeomRayGetLength (dGeomID ray); +ODE_API void dGeomRaySet (dGeomID ray, dReal px, dReal py, dReal pz, + dReal dx, dReal dy, dReal dz); +ODE_API void dGeomRayGet (dGeomID ray, dVector3 start, dVector3 dir); + +/* + * Set/get ray flags that influence ray collision detection. + * These flags are currently only noticed by the trimesh collider, because + * they can make a major differences there. + */ +ODE_API void dGeomRaySetParams (dGeomID g, int FirstContact, int BackfaceCull); +ODE_API void dGeomRayGetParams (dGeomID g, int *FirstContact, int *BackfaceCull); +ODE_API void dGeomRaySetClosestHit (dGeomID g, int closestHit); +ODE_API int dGeomRayGetClosestHit (dGeomID g); + +#include "collision_trimesh.h" + +ODE_API dGeomID dCreateGeomTransform (dSpaceID space); +ODE_API void dGeomTransformSetGeom (dGeomID g, dGeomID obj); +ODE_API dGeomID dGeomTransformGetGeom (dGeomID g); +ODE_API void dGeomTransformSetCleanup (dGeomID g, int mode); +ODE_API int dGeomTransformGetCleanup (dGeomID g); +ODE_API void dGeomTransformSetInfo (dGeomID g, int mode); +ODE_API int dGeomTransformGetInfo (dGeomID g); + + +/* ************************************************************************ */ +/* heightfield functions */ + + +// Data storage for heightfield data. +struct dxHeightfieldData; +typedef struct dxHeightfieldData* dHeightfieldDataID; + + +/** + * @brief Callback prototype + * + * Used by the callback heightfield data type to sample a height for a + * given cell position. + * + * @param p_user_data User data specified when creating the dHeightfieldDataID + * @param x The index of a sample in the local x axis. It is a value + * in the range zero to ( nWidthSamples - 1 ). + * @param x The index of a sample in the local z axis. It is a value + * in the range zero to ( nDepthSamples - 1 ). + * + * @return The sample height which is then scaled and offset using the + * values specified when the heightfield data was created. + * + * @ingroup collide + */ +typedef dReal dHeightfieldGetHeight( void* p_user_data, int x, int z ); + + + +/** + * @brief Creates a heightfield geom. + * + * Uses the information in the given dHeightfieldDataID to construct + * a geom representing a heightfield in a collision space. + * + * @param space The space to add the geom to. + * @param data The dHeightfieldDataID created by dGeomHeightfieldDataCreate and + * setup by dGeomHeightfieldDataBuildCallback, dGeomHeightfieldDataBuildByte, + * dGeomHeightfieldDataBuildShort or dGeomHeightfieldDataBuildFloat. + * @param bPlaceable If non-zero this geom can be transformed in the world using the + * usual functions such as dGeomSetPosition and dGeomSetRotation. If the geom is + * not set as placeable, then it uses a fixed orientation where the global y axis + * represents the dynamic 'height' of the heightfield. + * + * @return A geom id to reference this geom in other calls. + * + * @ingroup collide + */ +ODE_API dGeomID dCreateHeightfield( dSpaceID space, + dHeightfieldDataID data, int bPlaceable ); + + +/** + * @brief Creates a new empty dHeightfieldDataID. + * + * Allocates a new dHeightfieldDataID and returns it. You must call + * dGeomHeightfieldDataDestroy to destroy it after the geom has been removed. + * The dHeightfieldDataID value is used when specifying a data format type. + * + * @return A dHeightfieldDataID for use with dGeomHeightfieldDataBuildCallback, + * dGeomHeightfieldDataBuildByte, dGeomHeightfieldDataBuildShort or + * dGeomHeightfieldDataBuildFloat. + * @ingroup collide + */ +ODE_API dHeightfieldDataID dGeomHeightfieldDataCreate(); + + +/** + * @brief Destroys a dHeightfieldDataID. + * + * Deallocates a given dHeightfieldDataID and all managed resources. + * + * @param d A dHeightfieldDataID created by dGeomHeightfieldDataCreate + * @ingroup collide + */ +ODE_API void dGeomHeightfieldDataDestroy( dHeightfieldDataID d ); + + + +/** + * @brief Configures a dHeightfieldDataID to use a callback to + * retrieve height data. + * + * Before a dHeightfieldDataID can be used by a geom it must be + * configured to specify the format of the height data. + * This call specifies that the heightfield data is computed by + * the user and it should use the given callback when determining + * the height of a given element of it's shape. + * + * @param d A new dHeightfieldDataID created by dGeomHeightfieldDataCreate + * + * @param width Specifies the total 'width' of the heightfield along + * the geom's local x axis. + * @param depth Specifies the total 'depth' of the heightfield along + * the geom's local z axis. + * + * @param widthSamples Specifies the number of vertices to sample + * along the width of the heightfield. Each vertex has a corresponding + * height value which forms the overall shape. + * Naturally this value must be at least two or more. + * @param depthSamples Specifies the number of vertices to sample + * along the depth of the heightfield. + * + * @param scale A uniform scale applied to all raw height data. + * @param offset An offset applied to the scaled height data. + * + * @param thickness A value subtracted from the lowest height + * value which in effect adds an additional cuboid to the base of the + * heightfield. This is used to prevent geoms from looping under the + * desired terrain and not registering as a collision. Note that the + * thickness is not affected by the scale or offset parameters. + * + * @param bWrap If non-zero the heightfield will infinitely tile in both + * directions along the local x and z axes. If zero the heightfield is + * bounded from zero to width in the local x axis, and zero to depth in + * the local z axis. + * + * @ingroup collide + */ +ODE_API void dGeomHeightfieldDataBuildCallback( dHeightfieldDataID d, + void* pUserData, dHeightfieldGetHeight* pCallback, + dReal width, dReal depth, int widthSamples, int depthSamples, + dReal scale, dReal offset, dReal thickness, int bWrap ); + +/** + * @brief Configures a dHeightfieldDataID to use height data in byte format. + * + * Before a dHeightfieldDataID can be used by a geom it must be + * configured to specify the format of the height data. + * This call specifies that the heightfield data is stored as a rectangular + * array of bytes (8 bit unsigned) representing the height at each sample point. + * + * @param d A new dHeightfieldDataID created by dGeomHeightfieldDataCreate + * + * @param pHeightData A pointer to the height data. + * @param bCopyHeightData When non-zero the height data is copied to an + * internal store. When zero the height data is accessed by reference and + * so must persist throughout the lifetime of the heightfield. + * + * @param width Specifies the total 'width' of the heightfield along + * the geom's local x axis. + * @param depth Specifies the total 'depth' of the heightfield along + * the geom's local z axis. + * + * @param widthSamples Specifies the number of vertices to sample + * along the width of the heightfield. Each vertex has a corresponding + * height value which forms the overall shape. + * Naturally this value must be at least two or more. + * @param depthSamples Specifies the number of vertices to sample + * along the depth of the heightfield. + * + * @param scale A uniform scale applied to all raw height data. + * @param offset An offset applied to the scaled height data. + * + * @param thickness A value subtracted from the lowest height + * value which in effect adds an additional cuboid to the base of the + * heightfield. This is used to prevent geoms from looping under the + * desired terrain and not registering as a collision. Note that the + * thickness is not affected by the scale or offset parameters. + * + * @param bWrap If non-zero the heightfield will infinitely tile in both + * directions along the local x and z axes. If zero the heightfield is + * bounded from zero to width in the local x axis, and zero to depth in + * the local z axis. + * + * @ingroup collide + */ +ODE_API void dGeomHeightfieldDataBuildByte( dHeightfieldDataID d, + const unsigned char* pHeightData, int bCopyHeightData, + dReal width, dReal depth, int widthSamples, int depthSamples, + dReal scale, dReal offset, dReal thickness, int bWrap ); + +/** + * @brief Configures a dHeightfieldDataID to use height data in short format. + * + * Before a dHeightfieldDataID can be used by a geom it must be + * configured to specify the format of the height data. + * This call specifies that the heightfield data is stored as a rectangular + * array of shorts (16 bit signed) representing the height at each sample point. + * + * @param d A new dHeightfieldDataID created by dGeomHeightfieldDataCreate + * + * @param pHeightData A pointer to the height data. + * @param bCopyHeightData When non-zero the height data is copied to an + * internal store. When zero the height data is accessed by reference and + * so must persist throughout the lifetime of the heightfield. + * + * @param width Specifies the total 'width' of the heightfield along + * the geom's local x axis. + * @param depth Specifies the total 'depth' of the heightfield along + * the geom's local z axis. + * + * @param widthSamples Specifies the number of vertices to sample + * along the width of the heightfield. Each vertex has a corresponding + * height value which forms the overall shape. + * Naturally this value must be at least two or more. + * @param depthSamples Specifies the number of vertices to sample + * along the depth of the heightfield. + * + * @param scale A uniform scale applied to all raw height data. + * @param offset An offset applied to the scaled height data. + * + * @param thickness A value subtracted from the lowest height + * value which in effect adds an additional cuboid to the base of the + * heightfield. This is used to prevent geoms from looping under the + * desired terrain and not registering as a collision. Note that the + * thickness is not affected by the scale or offset parameters. + * + * @param bWrap If non-zero the heightfield will infinitely tile in both + * directions along the local x and z axes. If zero the heightfield is + * bounded from zero to width in the local x axis, and zero to depth in + * the local z axis. + * + * @ingroup collide + */ +ODE_API void dGeomHeightfieldDataBuildShort( dHeightfieldDataID d, + const short* pHeightData, int bCopyHeightData, + dReal width, dReal depth, int widthSamples, int depthSamples, + dReal scale, dReal offset, dReal thickness, int bWrap ); + +/** + * @brief Configures a dHeightfieldDataID to use height data in + * single precision floating point format. + * + * Before a dHeightfieldDataID can be used by a geom it must be + * configured to specify the format of the height data. + * This call specifies that the heightfield data is stored as a rectangular + * array of single precision floats representing the height at each + * sample point. + * + * @param d A new dHeightfieldDataID created by dGeomHeightfieldDataCreate + * + * @param pHeightData A pointer to the height data. + * @param bCopyHeightData When non-zero the height data is copied to an + * internal store. When zero the height data is accessed by reference and + * so must persist throughout the lifetime of the heightfield. + * + * @param width Specifies the total 'width' of the heightfield along + * the geom's local x axis. + * @param depth Specifies the total 'depth' of the heightfield along + * the geom's local z axis. + * + * @param widthSamples Specifies the number of vertices to sample + * along the width of the heightfield. Each vertex has a corresponding + * height value which forms the overall shape. + * Naturally this value must be at least two or more. + * @param depthSamples Specifies the number of vertices to sample + * along the depth of the heightfield. + * + * @param scale A uniform scale applied to all raw height data. + * @param offset An offset applied to the scaled height data. + * + * @param thickness A value subtracted from the lowest height + * value which in effect adds an additional cuboid to the base of the + * heightfield. This is used to prevent geoms from looping under the + * desired terrain and not registering as a collision. Note that the + * thickness is not affected by the scale or offset parameters. + * + * @param bWrap If non-zero the heightfield will infinitely tile in both + * directions along the local x and z axes. If zero the heightfield is + * bounded from zero to width in the local x axis, and zero to depth in + * the local z axis. + * + * @ingroup collide + */ +ODE_API void dGeomHeightfieldDataBuildSingle( dHeightfieldDataID d, + const float* pHeightData, int bCopyHeightData, + dReal width, dReal depth, int widthSamples, int depthSamples, + dReal scale, dReal offset, dReal thickness, int bWrap ); + +/** + * @brief Configures a dHeightfieldDataID to use height data in + * double precision floating point format. + * + * Before a dHeightfieldDataID can be used by a geom it must be + * configured to specify the format of the height data. + * This call specifies that the heightfield data is stored as a rectangular + * array of double precision floats representing the height at each + * sample point. + * + * @param d A new dHeightfieldDataID created by dGeomHeightfieldDataCreate + * + * @param pHeightData A pointer to the height data. + * @param bCopyHeightData When non-zero the height data is copied to an + * internal store. When zero the height data is accessed by reference and + * so must persist throughout the lifetime of the heightfield. + * + * @param width Specifies the total 'width' of the heightfield along + * the geom's local x axis. + * @param depth Specifies the total 'depth' of the heightfield along + * the geom's local z axis. + * + * @param widthSamples Specifies the number of vertices to sample + * along the width of the heightfield. Each vertex has a corresponding + * height value which forms the overall shape. + * Naturally this value must be at least two or more. + * @param depthSamples Specifies the number of vertices to sample + * along the depth of the heightfield. + * + * @param scale A uniform scale applied to all raw height data. + * @param offset An offset applied to the scaled height data. + * + * @param thickness A value subtracted from the lowest height + * value which in effect adds an additional cuboid to the base of the + * heightfield. This is used to prevent geoms from looping under the + * desired terrain and not registering as a collision. Note that the + * thickness is not affected by the scale or offset parameters. + * + * @param bWrap If non-zero the heightfield will infinitely tile in both + * directions along the local x and z axes. If zero the heightfield is + * bounded from zero to width in the local x axis, and zero to depth in + * the local z axis. + * + * @ingroup collide + */ +ODE_API void dGeomHeightfieldDataBuildDouble( dHeightfieldDataID d, + const double* pHeightData, int bCopyHeightData, + dReal width, dReal depth, int widthSamples, int depthSamples, + dReal scale, dReal offset, dReal thickness, int bWrap ); + +/** + * @brief Manually set the minimum and maximum height bounds. + * + * This call allows you to set explicit min / max values after initial + * creation typically for callback heightfields which default to +/- infinity, + * or those whose data has changed. This must be set prior to binding with a + * geom, as the the AABB is not recomputed after it's first generation. + * + * @remarks The minimum and maximum values are used to compute the AABB + * for the heightfield which is used for early rejection of collisions. + * A close fit will yield a more efficient collision check. + * + * @param d A dHeightfieldDataID created by dGeomHeightfieldDataCreate + * @param min_height The new minimum height value. Scale, offset and thickness is then applied. + * @param max_height The new maximum height value. Scale and offset is then applied. + * @ingroup collide + */ +ODE_API void dGeomHeightfieldDataSetBounds( dHeightfieldDataID d, + dReal minHeight, dReal maxHeight ); + + +/** + * @brief Assigns a dHeightfieldDataID to a heightfield geom. + * + * Associates the given dHeightfieldDataID with a heightfield geom. + * This is done without affecting the GEOM_PLACEABLE flag. + * + * @param g A geom created by dCreateHeightfield + * @param d A dHeightfieldDataID created by dGeomHeightfieldDataCreate + * @ingroup collide + */ +ODE_API void dGeomHeightfieldSetHeightfieldData( dGeomID g, dHeightfieldDataID d ); + + +/** + * @brief Gets the dHeightfieldDataID bound to a heightfield geom. + * + * Returns the dHeightfieldDataID associated with a heightfield geom. + * + * @param g A geom created by dCreateHeightfield + * @return The dHeightfieldDataID which may be NULL if none was assigned. + * @ingroup collide + */ +ODE_API dHeightfieldDataID dGeomHeightfieldGetHeightfieldData( dGeomID g ); + + + +/* ************************************************************************ */ +/* utility functions */ + +ODE_API void dClosestLineSegmentPoints (const dVector3 a1, const dVector3 a2, + const dVector3 b1, const dVector3 b2, + dVector3 cp1, dVector3 cp2); + +ODE_API int dBoxTouchesBox (const dVector3 _p1, const dMatrix3 R1, + const dVector3 side1, const dVector3 _p2, + const dMatrix3 R2, const dVector3 side2); + +ODE_API int dBoxBox (const dVector3 p1, const dMatrix3 R1, + const dVector3 side1, const dVector3 p2, + const dMatrix3 R2, const dVector3 side2, + dVector3 normal, dReal *depth, int *return_code, + int maxc, dContactGeom *contact, int skip); + +ODE_API void dInfiniteAABB (dGeomID geom, dReal aabb[6]); +ODE_API void dCloseODE(void); + +/* ************************************************************************ */ +/* custom classes */ + +typedef void dGetAABBFn (dGeomID, dReal aabb[6]); +typedef int dColliderFn (dGeomID o1, dGeomID o2, + int flags, dContactGeom *contact, int skip); +typedef dColliderFn * dGetColliderFnFn (int num); +typedef void dGeomDtorFn (dGeomID o); +typedef int dAABBTestFn (dGeomID o1, dGeomID o2, dReal aabb[6]); + +typedef struct dGeomClass { + int bytes; + dGetColliderFnFn *collider; + dGetAABBFn *aabb; + dAABBTestFn *aabb_test; + dGeomDtorFn *dtor; +} dGeomClass; + +ODE_API int dCreateGeomClass (const dGeomClass *classptr); +ODE_API void * dGeomGetClassData (dGeomID); +ODE_API dGeomID dCreateGeom (int classnum); + +/* ************************************************************************ */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/collision_space.h b/misc/builddeps/emscripten/ode/include/ode/collision_space.h new file mode 100644 index 00000000..fb1f83f6 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/collision_space.h @@ -0,0 +1,76 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001-2003 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_COLLISION_SPACE_H_ +#define _ODE_COLLISION_SPACE_H_ + +#include + +#ifdef __cplusplus +extern "C" { +#endif + +struct dContactGeom; + +/** + * @brief User callback for geom-geom collision testing. + * + * @param data The user data object, as passed to dSpaceCollide. + * @param o1 The first geom being tested. + * @param o2 The second geom being test. + * + * @remarks The callback function can call dCollide on o1 and o2 to generate + * contact points between each pair. Then these contact points may be added + * to the simulation as contact joints. The user's callback function can of + * course chose not to call dCollide for any pair, e.g. if the user decides + * that those pairs should not interact. + * + * @ingroup collide + */ +typedef void dNearCallback (void *data, dGeomID o1, dGeomID o2); + + +ODE_API dSpaceID dSimpleSpaceCreate (dSpaceID space); +ODE_API dSpaceID dHashSpaceCreate (dSpaceID space); +ODE_API dSpaceID dQuadTreeSpaceCreate (dSpaceID space, dVector3 Center, dVector3 Extents, int Depth); + +ODE_API void dSpaceDestroy (dSpaceID); + +ODE_API void dHashSpaceSetLevels (dSpaceID space, int minlevel, int maxlevel); +ODE_API void dHashSpaceGetLevels (dSpaceID space, int *minlevel, int *maxlevel); + +ODE_API void dSpaceSetCleanup (dSpaceID space, int mode); +ODE_API int dSpaceGetCleanup (dSpaceID space); + +ODE_API void dSpaceAdd (dSpaceID, dGeomID); +ODE_API void dSpaceRemove (dSpaceID, dGeomID); +ODE_API int dSpaceQuery (dSpaceID, dGeomID); +ODE_API void dSpaceClean (dSpaceID); +ODE_API int dSpaceGetNumGeoms (dSpaceID); +ODE_API dGeomID dSpaceGetGeom (dSpaceID, int i); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/collision_trimesh.h b/misc/builddeps/emscripten/ode/include/ode/collision_trimesh.h new file mode 100644 index 00000000..6b883f6b --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/collision_trimesh.h @@ -0,0 +1,193 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001-2003 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +/* + * TriMesh code by Erwin de Vries. + * + * Trimesh data. + * This is where the actual vertexdata (pointers), and BV tree is stored. + * Vertices should be single precision! + * This should be more sophisticated, so that the user can easyly implement + * another collision library, but this is a lot of work, and also costs some + * performance because some data has to be copied. + */ + +#ifndef _ODE_COLLISION_TRIMESH_H_ +#define _ODE_COLLISION_TRIMESH_H_ + +#ifdef __cplusplus +extern "C" { +#endif + +/* + * Data storage for triangle meshes. + */ +struct dxTriMeshData; +typedef struct dxTriMeshData* dTriMeshDataID; + +/* + * These dont make much sense now, but they will later when we add more + * features. + */ +ODE_API dTriMeshDataID dGeomTriMeshDataCreate(void); +ODE_API void dGeomTriMeshDataDestroy(dTriMeshDataID g); + +enum { TRIMESH_FACE_NORMALS, TRIMESH_LAST_TRANSFORMATION }; +ODE_API void dGeomTriMeshDataSet(dTriMeshDataID g, int data_id, void* in_data); +ODE_API void* dGeomTriMeshDataGet(dTriMeshDataID g, int data_id); + +/* + * Build TriMesh data with single pricision used in vertex data . + */ +ODE_API void dGeomTriMeshDataBuildSingle(dTriMeshDataID g, + const void* Vertices, int VertexStride, int VertexCount, + const void* Indices, int IndexCount, int TriStride); +/* same again with a normals array (used as trimesh-trimesh optimization) */ +ODE_API void dGeomTriMeshDataBuildSingle1(dTriMeshDataID g, + const void* Vertices, int VertexStride, int VertexCount, + const void* Indices, int IndexCount, int TriStride, + const void* Normals); +/* +* Build TriMesh data with double pricision used in vertex data . +*/ +ODE_API void dGeomTriMeshDataBuildDouble(dTriMeshDataID g, + const void* Vertices, int VertexStride, int VertexCount, + const void* Indices, int IndexCount, int TriStride); +/* same again with a normals array (used as trimesh-trimesh optimization) */ +ODE_API void dGeomTriMeshDataBuildDouble1(dTriMeshDataID g, + const void* Vertices, int VertexStride, int VertexCount, + const void* Indices, int IndexCount, int TriStride, + const void* Normals); + +/* + * Simple build. Single/double precision based on dSINGLE/dDOUBLE! + */ +ODE_API void dGeomTriMeshDataBuildSimple(dTriMeshDataID g, + const dReal* Vertices, int VertexCount, + const int* Indices, int IndexCount); +/* same again with a normals array (used as trimesh-trimesh optimization) */ +ODE_API void dGeomTriMeshDataBuildSimple1(dTriMeshDataID g, + const dReal* Vertices, int VertexCount, + const int* Indices, int IndexCount, + const int* Normals); + +/* Preprocess the trimesh data to remove mark unnecessary edges and vertices */ +ODE_API void dGeomTriMeshDataPreprocess(dTriMeshDataID g); +/* Get and set the internal preprocessed trimesh data buffer, for loading and saving */ +ODE_API void dGeomTriMeshDataGetBuffer(dTriMeshDataID g, unsigned char** buf, int* bufLen); +ODE_API void dGeomTriMeshDataSetBuffer(dTriMeshDataID g, unsigned char* buf); + + +/* + * Per triangle callback. Allows the user to say if he wants a collision with + * a particular triangle. + */ +typedef int dTriCallback(dGeomID TriMesh, dGeomID RefObject, int TriangleIndex); +ODE_API void dGeomTriMeshSetCallback(dGeomID g, dTriCallback* Callback); +ODE_API dTriCallback* dGeomTriMeshGetCallback(dGeomID g); + +/* + * Per object callback. Allows the user to get the list of triangles in 1 + * shot. Maybe we should remove this one. + */ +typedef void dTriArrayCallback(dGeomID TriMesh, dGeomID RefObject, const int* TriIndices, int TriCount); +ODE_API void dGeomTriMeshSetArrayCallback(dGeomID g, dTriArrayCallback* ArrayCallback); +ODE_API dTriArrayCallback* dGeomTriMeshGetArrayCallback(dGeomID g); + +/* + * Ray callback. + * Allows the user to say if a ray collides with a triangle on barycentric + * coords. The user can for example sample a texture with alpha transparency + * to determine if a collision should occur. + */ +typedef int dTriRayCallback(dGeomID TriMesh, dGeomID Ray, int TriangleIndex, dReal u, dReal v); +ODE_API void dGeomTriMeshSetRayCallback(dGeomID g, dTriRayCallback* Callback); +ODE_API dTriRayCallback* dGeomTriMeshGetRayCallback(dGeomID g); + +/* + * Trimesh class + * Construction. Callbacks are optional. + */ +ODE_API dGeomID dCreateTriMesh(dSpaceID space, dTriMeshDataID Data, dTriCallback* Callback, dTriArrayCallback* ArrayCallback, dTriRayCallback* RayCallback); + +ODE_API void dGeomTriMeshSetData(dGeomID g, dTriMeshDataID Data); +ODE_API dTriMeshDataID dGeomTriMeshGetData(dGeomID g); + + +// enable/disable/check temporal coherence +ODE_API void dGeomTriMeshEnableTC(dGeomID g, int geomClass, int enable); +ODE_API int dGeomTriMeshIsTCEnabled(dGeomID g, int geomClass); + +/* + * Clears the internal temporal coherence caches. When a geom has its + * collision checked with a trimesh once, data is stored inside the trimesh. + * With large worlds with lots of seperate objects this list could get huge. + * We should be able to do this automagically. + */ +ODE_API void dGeomTriMeshClearTCCache(dGeomID g); + + +/* + * returns the TriMeshDataID + */ +ODE_API dTriMeshDataID dGeomTriMeshGetTriMeshDataID(dGeomID g); + +/* + * Gets a triangle. + */ +ODE_API void dGeomTriMeshGetTriangle(dGeomID g, int Index, dVector3* v0, dVector3* v1, dVector3* v2); + +/* + * Gets the point on the requested triangle and the given barycentric + * coordinates. + */ +ODE_API void dGeomTriMeshGetPoint(dGeomID g, int Index, dReal u, dReal v, dVector3 Out); + +/* + +This is how the strided data works: + +struct StridedVertex{ + dVector3 Vertex; + // Userdata +}; +int VertexStride = sizeof(StridedVertex); + +struct StridedTri{ + int Indices[3]; + // Userdata +}; +int TriStride = sizeof(StridedTri); + +*/ + + +ODE_API int dGeomTriMeshGetTriangleCount (dGeomID g); + +ODE_API void dGeomTriMeshDataUpdate(dTriMeshDataID g); + +#ifdef __cplusplus +} +#endif + +#endif /* _ODE_COLLISION_TRIMESH_H_ */ + diff --git a/misc/builddeps/emscripten/ode/include/ode/common.h b/misc/builddeps/emscripten/ode/include/ode/common.h new file mode 100644 index 00000000..92770d1b --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/common.h @@ -0,0 +1,370 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_COMMON_H_ +#define _ODE_COMMON_H_ +#include +#include +#include + +#ifdef __cplusplus +extern "C" { +#endif + + +/* configuration stuff */ + +/* the efficient alignment. most platforms align data structures to some + * number of bytes, but this is not always the most efficient alignment. + * for example, many x86 compilers align to 4 bytes, but on a pentium it + * is important to align doubles to 8 byte boundaries (for speed), and + * the 4 floats in a SIMD register to 16 byte boundaries. many other + * platforms have similar behavior. setting a larger alignment can waste + * a (very) small amount of memory. NOTE: this number must be a power of + * two. this is set to 16 by default. + */ +#define EFFICIENT_ALIGNMENT 16 + + +/* constants */ + +/* pi and 1/sqrt(2) are defined here if necessary because they don't get + * defined in on some platforms (like MS-Windows) + */ + +#ifndef M_PI +#define M_PI REAL(3.1415926535897932384626433832795029) +#endif +#ifndef M_SQRT1_2 +#define M_SQRT1_2 REAL(0.7071067811865475244008443621048490) +#endif + + +/* debugging: + * IASSERT is an internal assertion, i.e. a consistency check. if it fails + * we want to know where. + * UASSERT is a user assertion, i.e. if it fails a nice error message + * should be printed for the user. + * AASSERT is an arguments assertion, i.e. if it fails "bad argument(s)" + * is printed. + * DEBUGMSG just prints out a message + */ + +#ifndef dNODEBUG +#ifdef __GNUC__ +#define dIASSERT(a) if (!(a)) dDebug (d_ERR_IASSERT, \ + "assertion \"" #a "\" failed in %s() [%s]",__FUNCTION__,__FILE__); +#define dUASSERT(a,msg) if (!(a)) dDebug (d_ERR_UASSERT, \ + msg " in %s()", __FUNCTION__); +#define dDEBUGMSG(msg) dMessage (d_ERR_UASSERT, \ +msg " in %s() File %s Line %d", __FUNCTION__, __FILE__,__LINE__); +#else +#define dIASSERT(a) if (!(a)) dDebug (d_ERR_IASSERT, \ + "assertion \"" #a "\" failed in %s:%d",__FILE__,__LINE__); +#define dUASSERT(a,msg) if (!(a)) dDebug (d_ERR_UASSERT, \ + msg " (%s:%d)", __FILE__,__LINE__); +#define dDEBUGMSG(msg) dMessage (d_ERR_UASSERT, \ + msg " (%s:%d)", __FILE__,__LINE__); +#endif +#else +#define dIASSERT(a) ; +#define dUASSERT(a,msg) ; +#define dDEBUGMSG(msg) ; +#endif +#define dAASSERT(a) dUASSERT(a,"Bad argument(s)") + +/* floating point data type, vector, matrix and quaternion types */ + +#if defined(dSINGLE) +typedef float dReal; +#elif defined(dDOUBLE) +typedef double dReal; +#else +#error You must #define dSINGLE or dDOUBLE +#endif + + +/* round an integer up to a multiple of 4, except that 0 and 1 are unmodified + * (used to compute matrix leading dimensions) + */ +#define dPAD(a) (((a) > 1) ? ((((a)-1)|3)+1) : (a)) + +/* these types are mainly just used in headers */ +typedef dReal dVector3[4]; +typedef dReal dVector4[4]; +typedef dReal dMatrix3[4*3]; +typedef dReal dMatrix4[4*4]; +typedef dReal dMatrix6[8*6]; +typedef dReal dQuaternion[4]; + + +/* precision dependent scalar math functions */ + +#if defined(dSINGLE) + +#define REAL(x) (x ## f) /* form a constant */ +#define dRecip(x) ((1.0f/(x))) /* reciprocal */ +#define dSqrt(x) (sqrtf(x)) /* square root */ +#define dRecipSqrt(x) ((1.0f/sqrtf(x))) /* reciprocal square root */ +#define dSin(x) (sinf(x)) /* sine */ +#define dCos(x) (cosf(x)) /* cosine */ +#define dFabs(x) (fabsf(x)) /* absolute value */ +#define dAtan2(y,x) (atan2f(y,x)) /* arc tangent with 2 args */ +#define dFMod(a,b) (fmodf(a,b)) /* modulo */ + +#ifdef HAVE___ISNANF +#define dIsNan(x) (__isnanf(x)) +#elif defined(HAVE__ISNANF) +#define dIsNan(x) (_isnanf(x)) +#elif defined(HAVE_ISNANF) +#define dIsNan(x) (isnanf(x)) +#else + /* + fall back to _isnan which is the VC way, + this may seem redundant since we already checked + for _isnan before, but if isnan is detected by + configure but is not found during compilation + we should always make sure we check for __isnanf, + _isnanf and isnanf in that order before falling + back to a default + */ +#define dIsNan(x) (_isnan(x)) +#endif + +#define dCopySign(a,b) ((dReal)copysignf(a,b)) + +#elif defined(dDOUBLE) + +#define REAL(x) (x) +#define dRecip(x) (1.0/(x)) +#define dSqrt(x) sqrt(x) +#define dRecipSqrt(x) (1.0/sqrt(x)) +#define dSin(x) sin(x) +#define dCos(x) cos(x) +#define dFabs(x) fabs(x) +#define dAtan2(y,x) atan2((y),(x)) +#define dFMod(a,b) (fmod((a),(b))) +#ifdef HAVE___ISNAN +#define dIsNan(x) (__isnan(x)) +#elif defined(HAVE__ISNAN) +#define dIsNan(x) (_isnan(x)) +#elif defined(HAVE_ISNAN) +#define dIsNan(x) (isnan(x)) +#else +#define dIsNan(x) (_isnan(x)) +#endif + +#define dCopySign(a,b) (copysign((a),(b))) + +#else +#error You must #define dSINGLE or dDOUBLE +#endif + + +/* utility */ + + +/* round something up to be a multiple of the EFFICIENT_ALIGNMENT */ + +#define dEFFICIENT_SIZE(x) ((((x)-1)|(EFFICIENT_ALIGNMENT-1))+1) + + +/* alloca aligned to the EFFICIENT_ALIGNMENT. note that this can waste + * up to 15 bytes per allocation, depending on what alloca() returns. + */ + +#define dALLOCA16(n) \ + ((char*)dEFFICIENT_SIZE(((size_t)(alloca((n)+(EFFICIENT_ALIGNMENT-1)))))) + + +// Use the error-checking memory allocation system. Because this system uses heap +// (malloc) instead of stack (alloca), it is slower. However, it allows you to +// simulate larger scenes, as well as handle out-of-memory errors in a somewhat +// graceful manner + +// #define dUSE_MALLOC_FOR_ALLOCA + +#ifdef dUSE_MALLOC_FOR_ALLOCA +enum { + d_MEMORY_OK = 0, /* no memory errors */ + d_MEMORY_OUT_OF_MEMORY /* malloc failed due to out of memory error */ +}; + +#endif + + + +/* internal object types (all prefixed with `dx') */ + +struct dxWorld; /* dynamics world */ +struct dxSpace; /* collision space */ +struct dxBody; /* rigid body (dynamics object) */ +struct dxGeom; /* geometry (collision object) */ +struct dxJoint; +struct dxJointNode; +struct dxJointGroup; + +typedef struct dxWorld *dWorldID; +typedef struct dxSpace *dSpaceID; +typedef struct dxBody *dBodyID; +typedef struct dxGeom *dGeomID; +typedef struct dxJoint *dJointID; +typedef struct dxJointGroup *dJointGroupID; + + +/* error numbers */ + +enum { + d_ERR_UNKNOWN = 0, /* unknown error */ + d_ERR_IASSERT, /* internal assertion failed */ + d_ERR_UASSERT, /* user assertion failed */ + d_ERR_LCP /* user assertion failed */ +}; + + +/* joint type numbers */ + +enum { + dJointTypeNone = 0, /* or "unknown" */ + dJointTypeBall, + dJointTypeHinge, + dJointTypeSlider, + dJointTypeContact, + dJointTypeUniversal, + dJointTypeHinge2, + dJointTypeFixed, + dJointTypeNull, + dJointTypeAMotor, + dJointTypeLMotor, + dJointTypePlane2D +}; + + +/* an alternative way of setting joint parameters, using joint parameter + * structures and member constants. we don't actually do this yet. + */ + +/* +typedef struct dLimot { + int mode; + dReal lostop, histop; + dReal vel, fmax; + dReal fudge_factor; + dReal bounce, soft; + dReal suspension_erp, suspension_cfm; +} dLimot; + +enum { + dLimotLoStop = 0x0001, + dLimotHiStop = 0x0002, + dLimotVel = 0x0004, + dLimotFMax = 0x0008, + dLimotFudgeFactor = 0x0010, + dLimotBounce = 0x0020, + dLimotSoft = 0x0040 +}; +*/ + + +/* standard joint parameter names. why are these here? - because we don't want + * to include all the joint function definitions in joint.cpp. hmmmm. + * MSVC complains if we call D_ALL_PARAM_NAMES_X with a blank second argument, + * which is why we have the D_ALL_PARAM_NAMES macro as well. please copy and + * paste between these two. + */ + +#define D_ALL_PARAM_NAMES(start) \ + /* parameters for limits and motors */ \ + dParamLoStop = start, \ + dParamHiStop, \ + dParamVel, \ + dParamFMax, \ + dParamFudgeFactor, \ + dParamBounce, \ + dParamCFM, \ + dParamStopERP, \ + dParamStopCFM, \ + /* parameters for suspension */ \ + dParamSuspensionERP, \ + dParamSuspensionCFM, + +#define D_ALL_PARAM_NAMES_X(start,x) \ + /* parameters for limits and motors */ \ + dParamLoStop ## x = start, \ + dParamHiStop ## x, \ + dParamVel ## x, \ + dParamFMax ## x, \ + dParamFudgeFactor ## x, \ + dParamBounce ## x, \ + dParamCFM ## x, \ + dParamStopERP ## x, \ + dParamStopCFM ## x, \ + /* parameters for suspension */ \ + dParamSuspensionERP ## x, \ + dParamSuspensionCFM ## x, + +enum { + D_ALL_PARAM_NAMES(0) + D_ALL_PARAM_NAMES_X(0x100,2) + D_ALL_PARAM_NAMES_X(0x200,3) + + /* add a multiple of this constant to the basic parameter numbers to get + * the parameters for the second, third etc axes. + */ + dParamGroup=0x100 +}; + + +/* angular motor mode numbers */ + +enum{ + dAMotorUser = 0, + dAMotorEuler = 1 +}; + + +/* joint force feedback information */ + +typedef struct dJointFeedback { + dVector3 f1; /* force applied to body 1 */ + dVector3 t1; /* torque applied to body 1 */ + dVector3 f2; /* force applied to body 2 */ + dVector3 t2; /* torque applied to body 2 */ +} dJointFeedback; + + +/* private functions that must be implemented by the collision library: + * (1) indicate that a geom has moved, (2) get the next geom in a body list. + * these functions are called whenever the position of geoms connected to a + * body have changed, e.g. with dBodySetPosition(), dBodySetRotation(), or + * when the ODE step function updates the body state. + */ + +void dGeomMoved (dGeomID); +dGeomID dGeomGetBodyNext (dGeomID); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/compatibility.h b/misc/builddeps/emscripten/ode/include/ode/compatibility.h new file mode 100644 index 00000000..b3709866 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/compatibility.h @@ -0,0 +1,40 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_COMPATIBILITY_H_ +#define _ODE_COMPATIBILITY_H_ + +/* + * ODE's backward compatibility system ensures that as ODE's API + * evolves, user code will not break. + */ + +/* + * These new rotation function names are more consistent with the + * rest of the API. + */ +#define dQtoR(q,R) dRfromQ((R),(q)) +#define dRtoQ(R,q) dQfromR((q),(R)) +#define dWtoDQ(w,q,dq) dDQfromW((dq),(w),(q)) + + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/config.h b/misc/builddeps/emscripten/ode/include/ode/config.h new file mode 100644 index 00000000..d2950a62 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/config.h @@ -0,0 +1,149 @@ +/* This file was autogenerated by Premake */ +#ifndef _ODE_CONFIG_H_ +#define _ODE_CONFIG_H_ + + +/****************************************************************** + * CONFIGURATON SETTINGS - you can change these, and then rebuild + * ODE to modify the behavior of the library. + * + * dSINGLE/dDOUBLE - force ODE to use single-precision (float) + * or double-precision (double) for numbers + * + * dTRIMESH_ENABLED - enable/disable trimesh support + * + ******************************************************************/ + +#define dSINGLE 1 + +#define dTRIMESH_ENABLED 1 + + + +/****************************************************************** + * SYSTEM SETTINGS - you shouldn't need to change these. If you + * run into an issue with these settings, please report it to + * the ODE bug tracker at: + * http://sf.net/tracker/?group_id=24884&atid=382799 + ******************************************************************/ + +/* Try to identify the platform */ +#if defined(_MSC_VER) || defined(__CYGWIN32__) || defined(__MINGW32__) + #define ODE_PLATFORM_WINDOWS +#elif defined(__linux__) + #define ODE_PLATFORM_LINUX +#elif defined(__APPLE__) && defined(__MACH__) + #define ODE_PLATFORM_OSX +#else + #error "Need some help identifying the platform!" +#endif + +/* Additional platform defines used in the code */ +#if defined(ODE_PLATFORM_WINDOWS) && !defined(WIN32) + #define WIN32 +#endif + +#if defined(__CYGWIN32__) || defined(__MINGW32__) + #define CYGWIN +#endif + +#if defined(ODE_PLATFORM_OSX) + #define macintosh +#endif + + +/* Define a DLL export symbol for those platforms that need it */ +#if defined(ODE_PLATFORM_WINDOWS) + #if defined(ODE_DLL) + #define ODE_API __declspec(dllexport) + #elif !defined(ODE_LIB) + #define ODE_DLL_API __declspec(dllimport) + #endif +#endif + +#if !defined(ODE_API) + #define ODE_API +#endif + + +/* Pull in the standard headers */ +#include +#include +#include +#include +#include +#include +#include + +#if !defined(ODE_PLATFORM_WINDOWS) + #include +#endif + + +/* Visual C does not define these functions */ +#if defined(_MSC_VER) + #define copysignf _copysign + #define copysign _copysign +#endif + + +/* Define a value for infinity */ +#if defined(HUGE_VALF) + #define ODE_INFINITY4 HUGE_VALF + #define ODE_INFINITY8 HUGE_VAL +#elif defined(FLT_MAX) + #define ODE_INFINITY4 FLT_MAX + #define ODE_INFINITY8 DBL_MAX +#else + static union { unsigned char __c[4]; float __f; } __ode_huge_valf = {{0,0,0x80,0x7f}}; + static union { unsigned char __c[8]; double __d; } __ode_huge_val = {{0,0,0,0,0,0,0xf0,0x7f}}; + #define ODE_INFINITY4 (__ode_huge_valf.__f) + #define ODE_INFINITY8 (__ode_huge_val.__d) +#endif + +#if dSINGLE + #define dInfinity ODE_INFINITY4 + #define dEpsilon FLT_EPSILON +#else + #define dInfinity ODE_INFINITY8 + #define dEpsilon DBL_EPSILON +#endif + + +/* Well-defined common data types...need to define for 64 bit systems */ +#if defined(_M_IA64) || defined(__ia64__) || defined(_M_AMD64) || defined(__x86_64__) + #define X86_64_SYSTEM 1 + typedef int int32; + typedef unsigned int uint32; + typedef short int16; + typedef unsigned short uint16; + typedef char int8; + typedef unsigned char uint8; +#else + typedef int int32; + typedef unsigned int uint32; + typedef short int16; + typedef unsigned short uint16; + typedef char int8; + typedef unsigned char uint8; +#endif + +/* An integer type that can be safely cast to a pointer. This definition + * should be safe even on 64-bit systems */ +typedef size_t intP; + + +/* The efficient alignment. most platforms align data structures to some + * number of bytes, but this is not always the most efficient alignment. + * for example, many x86 compilers align to 4 bytes, but on a pentium it is + * important to align doubles to 8 byte boundaries (for speed), and the 4 + * floats in a SIMD register to 16 byte boundaries. many other platforms have + * similar behavior. setting a larger alignment can waste a (very) small + * amount of memory. NOTE: this number must be a power of two. */ +#define EFFICIENT_ALIGNMENT 16 + + +/* Define this if your system supports anonymous memory maps (linux does) */ +#define MMAP_ANONYMOUS + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/config.h.in b/misc/builddeps/emscripten/ode/include/ode/config.h.in new file mode 100644 index 00000000..921b4111 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/config.h.in @@ -0,0 +1,377 @@ +/* include/ode/config.h.in. Generated from configure.in by autoheader. */ + + +#ifndef ODE_CONFIG_H +#define ODE_CONFIG_H + + +/* Define to one of `_getb67', `GETB67', `getb67' for Cray-2 and Cray-YMP + systems. This function is required for `alloca.c' support on those systems. + */ +#undef CRAY_STACKSEG_END + +/* Define to 1 if using `alloca.c'. */ +#undef C_ALLOCA + +/* Define to 1 if you have `alloca', as a function or macro. */ +#undef HAVE_ALLOCA + +/* Define to 1 if you have and it should be used (not on Ultrix). + */ +#undef HAVE_ALLOCA_H + +/* Use the Apple OpenGL framework. */ +#undef HAVE_APPLE_OPENGL_FRAMEWORK + +/* Define to 1 if you have the `atan2f' function. */ +#undef HAVE_ATAN2F + +/* Define to 1 if you have the `copysign' function. */ +#undef HAVE_COPYSIGN + +/* Define to 1 if you have the `copysignf' function. */ +#undef HAVE_COPYSIGNF + +/* Define to 1 if you have the `cosf' function. */ +#undef HAVE_COSF + +/* Define to 1 if you don't have `vprintf' but do have `_doprnt.' */ +#undef HAVE_DOPRNT + +/* Define to 1 if you have the `fabsf' function. */ +#undef HAVE_FABSF + +/* Define to 1 if you have the header file. */ +#undef HAVE_FLOAT_H + +/* Define to 1 if you have the `floor' function. */ +#undef HAVE_FLOOR + +/* Define to 1 if you have the `fmodf' function. */ +#undef HAVE_FMODF + +/* Define to 1 if you have the `gettimeofday' function. */ +#undef HAVE_GETTIMEOFDAY + +/* Define to 1 if you have the header file. */ +#undef HAVE_GL_GLEXT_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_GL_GLU_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_GL_GL_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_IEEEFP_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_INTTYPES_H + +/* Define to 1 if you have the `isnan' function. */ +#undef HAVE_ISNAN + +/* Define to 1 if you have the `isnanf' function. */ +#undef HAVE_ISNANF + +/* Define to 1 if your system has a GNU libc compatible `malloc' function, and + to 0 otherwise. */ +#undef HAVE_MALLOC + +/* Define to 1 if you have the header file. */ +#undef HAVE_MALLOC_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_MATH_H + +/* Define to 1 if you have the `memmove' function. */ +#undef HAVE_MEMMOVE + +/* Define to 1 if you have the header file. */ +#undef HAVE_MEMORY_H + +/* Define to 1 if you have the `memset' function. */ +#undef HAVE_MEMSET + +/* Define to 1 if libc includes obstacks. */ +#undef HAVE_OBSTACK + +/* Define to 1 if your system has a GNU libc compatible `realloc' function, + and to 0 otherwise. */ +#undef HAVE_REALLOC + +/* Define to 1 if you have the `select' function. */ +#undef HAVE_SELECT + +/* Define to 1 if you have the `sinf' function. */ +#undef HAVE_SINF + +/* Define to 1 if you have the `snprintf' function. */ +#undef HAVE_SNPRINTF + +/* Define to 1 if you have the `sqrt' function. */ +#undef HAVE_SQRT + +/* Define to 1 if you have the `sqrtf' function. */ +#undef HAVE_SQRTF + +/* Use SSE Optimizations */ +#undef HAVE_SSE + +/* Define to 1 if you have the header file. */ +#undef HAVE_STDARG_H + +/* Define to 1 if stdbool.h conforms to C99. */ +#undef HAVE_STDBOOL_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_STDINT_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_STDIO_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_STDLIB_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_STRINGS_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_STRING_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_SYS_SELECT_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_SYS_SOCKET_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_SYS_STAT_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_SYS_TIME_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_SYS_TYPES_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_TIME_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_UNISTD_H + +/* Define to 1 if you have the header file. */ +#undef HAVE_VALUES_H + +/* Define to 1 if you have the `vprintf' function. */ +#undef HAVE_VPRINTF + +/* Define to 1 if you have the `vsnprintf' function. */ +#undef HAVE_VSNPRINTF + +/* Define to 1 if the system has the type `_Bool'. */ +#undef HAVE__BOOL + +/* Define to 1 if you have the `_isnan' function. */ +#undef HAVE__ISNAN + +/* Define to 1 if you have the `_isnanf' function. */ +#undef HAVE__ISNANF + +/* Define to 1 if you have the `__isnan' function. */ +#undef HAVE___ISNAN + +/* Define to 1 if you have the `__isnanf' function. */ +#undef HAVE___ISNANF + +/* Name of package */ +#undef PACKAGE + +/* Define to the address where bug reports for this package should be sent. */ +#undef PACKAGE_BUGREPORT + +/* Define to the full name of this package. */ +#undef PACKAGE_NAME + +/* Define to the full name and version of this package. */ +#undef PACKAGE_STRING + +/* Define to the one symbol short name of this package. */ +#undef PACKAGE_TARNAME + +/* Define to the version of this package. */ +#undef PACKAGE_VERSION + +/* is this a pentium on a gcc-based platform? */ +#undef PENTIUM + +/* Define to the type of arg 1 for `select'. */ +#undef SELECT_TYPE_ARG1 + +/* Define to the type of args 2, 3 and 4 for `select'. */ +#undef SELECT_TYPE_ARG234 + +/* Define to the type of arg 5 for `select'. */ +#undef SELECT_TYPE_ARG5 + +/* The size of a `char', as computed by sizeof. */ +#undef SIZEOF_CHAR + +/* The size of a `int', as computed by sizeof. */ +#undef SIZEOF_INT + +/* The size of a `long int', as computed by sizeof. */ +#undef SIZEOF_LONG_INT + +/* The size of a `short', as computed by sizeof. */ +#undef SIZEOF_SHORT + +/* The size of a `void*', as computed by sizeof. */ +#undef SIZEOF_VOIDP + +/* The extension for shared libraries. */ +#undef SO_EXT + +/* If using the C implementation of alloca, define if you know the + direction of stack growth for your system; otherwise it will be + automatically deduced at run-time. + STACK_DIRECTION > 0 => grows toward higher addresses + STACK_DIRECTION < 0 => grows toward lower addresses + STACK_DIRECTION = 0 => direction of growth unknown */ +#undef STACK_DIRECTION + +/* Define to 1 if you have the ANSI C header files. */ +#undef STDC_HEADERS + +/* Version number of package */ +#undef VERSION + +/* Define to 1 if your processor stores words with the most significant byte + first (like Motorola and SPARC, unlike Intel and VAX). */ +#undef WORDS_BIGENDIAN + +/* is this a X86_64 system on a gcc-based platform? */ +#undef X86_64_SYSTEM + +/* Define to 1 if the X Window System is missing or not being used. */ +#undef X_DISPLAY_MISSING + +/* Define to empty if `const' does not conform to ANSI C. */ +#undef const + +/* Use double precision */ +#undef dDOUBLE + +/* dEpsilon Constant */ +#undef dEpsilon + +/* Use gyroscopic terms */ +#undef dGYROSCOPIC + +/* dInfinity Constant */ +#undef dInfinity + +/* Disable debug output */ +#undef dNODEBUG + +/* Use single precision */ +#undef dSINGLE + +/* Define to `__inline__' or `__inline' if that's what the C compiler + calls it, or to nothing if 'inline' is not supported under any name. */ +#ifndef __cplusplus +#undef inline +#endif + +/* Define to rpl_malloc if the replacement function should be used. */ +#undef malloc + +/* Define to rpl_realloc if the replacement function should be used. */ +#undef realloc + +/* Define to `unsigned' if does not define. */ +#undef size_t + +/* Define to empty if the keyword `volatile' does not work. Warning: valid + code using `volatile' can become incorrect without. Disable with care. */ +#undef volatile + + + +#ifdef HAVE_ALLOCA_H +#include +#endif +#if defined(HAVE_IEEEFP_H) && !defined(__CYGWIN__) +// This header creates conflicts with math.h in Cygwin. +#include +#endif +#ifdef HAVE_STDIO_H +#include +#endif +#ifdef HAVE_STDLIB_H +#include +#endif +#ifdef HAVE_MATH_H +#include +#endif +#ifdef HAVE_STRING_H +#include +#endif +#ifdef HAVE_STDARG_H +#include +#endif +#ifdef HAVE_MALLOC_H +#include +#endif +#ifdef HAVE_VALUES_H +#include +#endif +#ifdef HAVE_FLOAT_H +#include +#endif +#if SIZEOF_CHAR == 1 +typedef char int8; +typedef unsigned char uint8; +#else +#error "expecting sizeof(char) == 1" +#endif +#if SIZEOF_SHORT == 2 +typedef short int16; +typedef unsigned short uint16;; +#else +#error "can not find 2 byte integer type" +#endif +/* integer types (we assume int >= 32 bits) */ +#if SIZEOF_INT == 4 +typedef short int32; +typedef unsigned short uint32; +#else +#error "can not find 4 byte integer type" +#endif +/* an integer type that we can safely cast a pointer to and + * from without loss of bits. + */ +#if SIZEOF_SHORT == SIZEOF_VOIDP +typedef unsigned short intP; +#elif SIZEOF_INT == SIZEOF_VOIDP +typedef unsigned int intP; +#elif SIZEOF_LONG_INT == SIZEOF_VOIDP +typedef unsigned long int intP; +#endif + +/* +Handle Windows DLL odities +Its easier to export all symbols using the -shared flag +for MinGW than differentiating with declspec, +so only do it for MSVC +*/ +#if defined(ODE_DLL) && defined(WIN32) && defined(_MSC_VER) +#define ODE_API __declspec( dllexport ) +#elif !defined(ODE_DLL) && defined(WIN32) && defined(MSC_VER) +#define ODE_API __declspec( dllimport ) +#else +#define ODE_API +#endif + +#endif /* #define ODE_CONFIG_H */ + diff --git a/misc/builddeps/emscripten/ode/include/ode/contact.h b/misc/builddeps/emscripten/ode/include/ode/contact.h new file mode 100644 index 00000000..fc634e7e --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/contact.h @@ -0,0 +1,103 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_CONTACT_H_ +#define _ODE_CONTACT_H_ + +#include + +#ifdef __cplusplus +extern "C" { +#endif + + +enum { + dContactMu2 = 0x001, + dContactFDir1 = 0x002, + dContactBounce = 0x004, + dContactSoftERP = 0x008, + dContactSoftCFM = 0x010, + dContactMotion1 = 0x020, + dContactMotion2 = 0x040, + dContactSlip1 = 0x080, + dContactSlip2 = 0x100, + + dContactApprox0 = 0x0000, + dContactApprox1_1 = 0x1000, + dContactApprox1_2 = 0x2000, + dContactApprox1 = 0x3000 +}; + + +typedef struct dSurfaceParameters { + /* must always be defined */ + int mode; + dReal mu; + + /* only defined if the corresponding flag is set in mode */ + dReal mu2; + dReal bounce; + dReal bounce_vel; + dReal soft_erp; + dReal soft_cfm; + dReal motion1,motion2; + dReal slip1,slip2; +} dSurfaceParameters; + + +/** + * @brief Describe the contact point between two geoms. + * + * If two bodies touch, or if a body touches a static feature in its + * environment, the contact is represented by one or more "contact + * points", described by dContactGeom. + * + * The convention is that if body 1 is moved along the normal vector by + * a distance depth (or equivalently if body 2 is moved the same distance + * in the opposite direction) then the contact depth will be reduced to + * zero. This means that the normal vector points "in" to body 1. + * + * @ingroup collide + */ +typedef struct dContactGeom { + dVector3 pos; ///< contact position + dVector3 normal; ///< normal vector + dReal depth; ///< penetration depth + dGeomID g1,g2; ///< the colliding geoms + int side1,side2; ///< (to be documented) +} dContactGeom; + + +/* contact info used by contact joint */ + +typedef struct dContact { + dSurfaceParameters surface; + dContactGeom geom; + dVector3 fdir1; +} dContact; + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/error.h b/misc/builddeps/emscripten/ode/include/ode/error.h new file mode 100644 index 00000000..bdeec377 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/error.h @@ -0,0 +1,63 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +/* this comes from the `reuse' library. copy any changes back to the source */ + +#ifndef _ODE_ERROR_H_ +#define _ODE_ERROR_H_ + +#include + +#ifdef __cplusplus +extern "C" { +#endif + +/* all user defined error functions have this type. error and debug functions + * should not return. + */ +typedef void dMessageFunction (int errnum, const char *msg, va_list ap); + +/* set a new error, debug or warning handler. if fn is 0, the default handlers + * are used. + */ +ODE_API void dSetErrorHandler (dMessageFunction *fn); +ODE_API void dSetDebugHandler (dMessageFunction *fn); +ODE_API void dSetMessageHandler (dMessageFunction *fn); + +/* return the current error, debug or warning handler. if the return value is + * 0, the default handlers are in place. + */ +ODE_API dMessageFunction *dGetErrorHandler(void); +ODE_API dMessageFunction *dGetDebugHandler(void); +ODE_API dMessageFunction *dGetMessageHandler(void); + +/* generate a fatal error, debug trap or a message. */ +ODE_API void dError (int num, const char *msg, ...); +ODE_API void dDebug (int num, const char *msg, ...); +ODE_API void dMessage (int num, const char *msg, ...); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/export-dif.h b/misc/builddeps/emscripten/ode/include/ode/export-dif.h new file mode 100644 index 00000000..ca479adc --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/export-dif.h @@ -0,0 +1,32 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_EXPORT_DIF_ +#define _ODE_EXPORT_DIF_ + +#include + + +ODE_API void dWorldExportDIF (dWorldID w, FILE *file, const char *world_name); + + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/mass.h b/misc/builddeps/emscripten/ode/include/ode/mass.h new file mode 100644 index 00000000..58a42fcd --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/mass.h @@ -0,0 +1,121 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_MASS_H_ +#define _ODE_MASS_H_ + +#include + +#ifdef __cplusplus +extern "C" { +#endif + +struct dMass; +typedef struct dMass dMass; + +/** + * Check if a mass structure has valid value. + * The function check if the mass and innertia matrix are positive definits + * + * @param m A mass structure to check + * + * @return 1 if both codition are met + */ +ODE_API int dMassCheck(const dMass *m); + +ODE_API void dMassSetZero (dMass *); + +ODE_API void dMassSetParameters (dMass *, dReal themass, + dReal cgx, dReal cgy, dReal cgz, + dReal I11, dReal I22, dReal I33, + dReal I12, dReal I13, dReal I23); + +ODE_API void dMassSetSphere (dMass *, dReal density, dReal radius); +ODE_API void dMassSetSphereTotal (dMass *, dReal total_mass, dReal radius); + +ODE_API void dMassSetCapsule (dMass *, dReal density, int direction, + dReal radius, dReal length); +ODE_API void dMassSetCapsuleTotal (dMass *, dReal total_mass, int direction, + dReal radius, dReal length); + +ODE_API void dMassSetCylinder (dMass *, dReal density, int direction, + dReal radius, dReal length); +ODE_API void dMassSetCylinderTotal (dMass *, dReal total_mass, int direction, + dReal radius, dReal length); + +ODE_API void dMassSetBox (dMass *, dReal density, + dReal lx, dReal ly, dReal lz); +ODE_API void dMassSetBoxTotal (dMass *, dReal total_mass, + dReal lx, dReal ly, dReal lz); + +ODE_API void dMassAdjust (dMass *, dReal newmass); + +ODE_API void dMassTranslate (dMass *, dReal x, dReal y, dReal z); + +ODE_API void dMassRotate (dMass *, const dMatrix3 R); + +ODE_API void dMassAdd (dMass *a, const dMass *b); + +// Backwards compatible API +#define dMassSetCappedCylinder dMassSetCapsule +#define dMassSetCappedCylinderTotal dMassSetCapsuleTotal + + +struct dMass { + dReal mass; + dVector4 c; + dMatrix3 I; + +#ifdef __cplusplus + dMass() + { dMassSetZero (this); } + void setZero() + { dMassSetZero (this); } + void setParameters (dReal themass, dReal cgx, dReal cgy, dReal cgz, + dReal I11, dReal I22, dReal I33, + dReal I12, dReal I13, dReal I23) + { dMassSetParameters (this,themass,cgx,cgy,cgz,I11,I22,I33,I12,I13,I23); } + void setSphere (dReal density, dReal radius) + { dMassSetSphere (this,density,radius); } + void setCapsule (dReal density, int direction, dReal a, dReal b) + { dMassSetCappedCylinder (this,density,direction,a,b); } + void setCappedCylinder (dReal density, int direction, dReal a, dReal b) + { setCapsule(density, direction, a, b); } + void setBox (dReal density, dReal lx, dReal ly, dReal lz) + { dMassSetBox (this,density,lx,ly,lz); } + void adjust (dReal newmass) + { dMassAdjust (this,newmass); } + void translate (dReal x, dReal y, dReal z) + { dMassTranslate (this,x,y,z); } + void rotate (const dMatrix3 R) + { dMassRotate (this,R); } + void add (const dMass *b) + { dMassAdd (this,b); } +#endif +}; + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/matrix.h b/misc/builddeps/emscripten/ode/include/ode/matrix.h new file mode 100644 index 00000000..eeb004d8 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/matrix.h @@ -0,0 +1,194 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +/* optimized and unoptimized vector and matrix functions */ + +#ifndef _ODE_MATRIX_H_ +#define _ODE_MATRIX_H_ + +#include + + +#ifdef __cplusplus +extern "C" { +#endif + + +/* set a vector/matrix of size n to all zeros, or to a specific value. */ + +ODE_API void dSetZero (dReal *a, int n); +ODE_API void dSetValue (dReal *a, int n, dReal value); + + +/* get the dot product of two n*1 vectors. if n <= 0 then + * zero will be returned (in which case a and b need not be valid). + */ + +ODE_API dReal dDot (const dReal *a, const dReal *b, int n); + + +/* get the dot products of (a0,b), (a1,b), etc and return them in outsum. + * all vectors are n*1. if n <= 0 then zeroes will be returned (in which case + * the input vectors need not be valid). this function is somewhat faster + * than calling dDot() for all of the combinations separately. + */ + +/* NOT INCLUDED in the library for now. +void dMultidot2 (const dReal *a0, const dReal *a1, + const dReal *b, dReal *outsum, int n); +*/ + + +/* matrix multiplication. all matrices are stored in standard row format. + * the digit refers to the argument that is transposed: + * 0: A = B * C (sizes: A:p*r B:p*q C:q*r) + * 1: A = B' * C (sizes: A:p*r B:q*p C:q*r) + * 2: A = B * C' (sizes: A:p*r B:p*q C:r*q) + * case 1,2 are equivalent to saying that the operation is A=B*C but + * B or C are stored in standard column format. + */ + +ODE_API void dMultiply0 (dReal *A, const dReal *B, const dReal *C, int p,int q,int r); +ODE_API void dMultiply1 (dReal *A, const dReal *B, const dReal *C, int p,int q,int r); +ODE_API void dMultiply2 (dReal *A, const dReal *B, const dReal *C, int p,int q,int r); + + +/* do an in-place cholesky decomposition on the lower triangle of the n*n + * symmetric matrix A (which is stored by rows). the resulting lower triangle + * will be such that L*L'=A. return 1 on success and 0 on failure (on failure + * the matrix is not positive definite). + */ + +ODE_API int dFactorCholesky (dReal *A, int n); + + +/* solve for x: L*L'*x = b, and put the result back into x. + * L is size n*n, b is size n*1. only the lower triangle of L is considered. + */ + +ODE_API void dSolveCholesky (const dReal *L, dReal *b, int n); + + +/* compute the inverse of the n*n positive definite matrix A and put it in + * Ainv. this is not especially fast. this returns 1 on success (A was + * positive definite) or 0 on failure (not PD). + */ + +ODE_API int dInvertPDMatrix (const dReal *A, dReal *Ainv, int n); + + +/* check whether an n*n matrix A is positive definite, return 1/0 (yes/no). + * positive definite means that x'*A*x > 0 for any x. this performs a + * cholesky decomposition of A. if the decomposition fails then the matrix + * is not positive definite. A is stored by rows. A is not altered. + */ + +ODE_API int dIsPositiveDefinite (const dReal *A, int n); + + +/* factorize a matrix A into L*D*L', where L is lower triangular with ones on + * the diagonal, and D is diagonal. + * A is an n*n matrix stored by rows, with a leading dimension of n rounded + * up to 4. L is written into the strict lower triangle of A (the ones are not + * written) and the reciprocal of the diagonal elements of D are written into + * d. + */ +ODE_API void dFactorLDLT (dReal *A, dReal *d, int n, int nskip); + + +/* solve L*x=b, where L is n*n lower triangular with ones on the diagonal, + * and x,b are n*1. b is overwritten with x. + * the leading dimension of L is `nskip'. + */ +ODE_API void dSolveL1 (const dReal *L, dReal *b, int n, int nskip); + + +/* solve L'*x=b, where L is n*n lower triangular with ones on the diagonal, + * and x,b are n*1. b is overwritten with x. + * the leading dimension of L is `nskip'. + */ +ODE_API void dSolveL1T (const dReal *L, dReal *b, int n, int nskip); + + +/* in matlab syntax: a(1:n) = a(1:n) .* d(1:n) */ + +ODE_API void dVectorScale (dReal *a, const dReal *d, int n); + + +/* given `L', a n*n lower triangular matrix with ones on the diagonal, + * and `d', a n*1 vector of the reciprocal diagonal elements of an n*n matrix + * D, solve L*D*L'*x=b where x,b are n*1. x overwrites b. + * the leading dimension of L is `nskip'. + */ + +ODE_API void dSolveLDLT (const dReal *L, const dReal *d, dReal *b, int n, int nskip); + + +/* given an L*D*L' factorization of an n*n matrix A, return the updated + * factorization L2*D2*L2' of A plus the following "top left" matrix: + * + * [ b a' ] <-- b is a[0] + * [ a 0 ] <-- a is a[1..n-1] + * + * - L has size n*n, its leading dimension is nskip. L is lower triangular + * with ones on the diagonal. only the lower triangle of L is referenced. + * - d has size n. d contains the reciprocal diagonal elements of D. + * - a has size n. + * the result is written into L, except that the left column of L and d[0] + * are not actually modified. see ldltaddTL.m for further comments. + */ +ODE_API void dLDLTAddTL (dReal *L, dReal *d, const dReal *a, int n, int nskip); + + +/* given an L*D*L' factorization of a permuted matrix A, produce a new + * factorization for row and column `r' removed. + * - A has size n1*n1, its leading dimension in nskip. A is symmetric and + * positive definite. only the lower triangle of A is referenced. + * A itself may actually be an array of row pointers. + * - L has size n2*n2, its leading dimension in nskip. L is lower triangular + * with ones on the diagonal. only the lower triangle of L is referenced. + * - d has size n2. d contains the reciprocal diagonal elements of D. + * - p is a permutation vector. it contains n2 indexes into A. each index + * must be in the range 0..n1-1. + * - r is the row/column of L to remove. + * the new L will be written within the old L, i.e. will have the same leading + * dimension. the last row and column of L, and the last element of d, are + * undefined on exit. + * + * a fast O(n^2) algorithm is used. see ldltremove.m for further comments. + */ +ODE_API void dLDLTRemove (dReal **A, const int *p, dReal *L, dReal *d, + int n1, int n2, int r, int nskip); + + +/* given an n*n matrix A (with leading dimension nskip), remove the r'th row + * and column by moving elements. the new matrix will have the same leading + * dimension. the last row and column of A are untouched on exit. + */ +ODE_API void dRemoveRowCol (dReal *A, int n, int nskip, int r); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/memory.h b/misc/builddeps/emscripten/ode/include/ode/memory.h new file mode 100644 index 00000000..c1af051a --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/memory.h @@ -0,0 +1,59 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +/* this comes from the `reuse' library. copy any changes back to the source */ + +#ifndef _ODE_MEMORY_H_ +#define _ODE_MEMORY_H_ + +#include "ode/config.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* function types to allocate and free memory */ +typedef void * dAllocFunction (size_t size); +typedef void * dReallocFunction (void *ptr, size_t oldsize, size_t newsize); +typedef void dFreeFunction (void *ptr, size_t size); + +/* set new memory management functions. if fn is 0, the default handlers are + * used. */ +ODE_API void dSetAllocHandler (dAllocFunction *fn); +ODE_API void dSetReallocHandler (dReallocFunction *fn); +ODE_API void dSetFreeHandler (dFreeFunction *fn); + +/* get current memory management functions */ +ODE_API dAllocFunction *dGetAllocHandler (void); +ODE_API dReallocFunction *dGetReallocHandler (void); +ODE_API dFreeFunction *dGetFreeHandler (void); + +/* allocate and free memory. */ +ODE_API void * dAlloc (size_t size); +ODE_API void * dRealloc (void *ptr, size_t oldsize, size_t newsize); +ODE_API void dFree (void *ptr, size_t size); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/misc.h b/misc/builddeps/emscripten/ode/include/ode/misc.h new file mode 100644 index 00000000..0c55fc5b --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/misc.h @@ -0,0 +1,85 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +/* miscellaneous math functions. these are mostly useful for testing */ + +#ifndef _ODE_MISC_H_ +#define _ODE_MISC_H_ + +#include + + +#ifdef __cplusplus +extern "C" { +#endif + + +/* return 1 if the random number generator is working. */ +ODE_API int dTestRand(void); + +/* return next 32 bit random number. this uses a not-very-random linear + * congruential method. + */ +ODE_API unsigned long dRand(void); + +/* get and set the current random number seed. */ +ODE_API unsigned long dRandGetSeed(void); +ODE_API void dRandSetSeed (unsigned long s); + +/* return a random integer between 0..n-1. the distribution will get worse + * as n approaches 2^32. + */ +ODE_API int dRandInt (int n); + +/* return a random real number between 0..1 */ +ODE_API dReal dRandReal(void); + +/* print out a matrix */ +#ifdef __cplusplus +ODE_API void dPrintMatrix (const dReal *A, int n, int m, char *fmt = "%10.4f ", + FILE *f=stdout); +#else +ODE_API void dPrintMatrix (const dReal *A, int n, int m, char *fmt, FILE *f); +#endif + +/* make a random vector with entries between +/- range. A has n elements. */ +ODE_API void dMakeRandomVector (dReal *A, int n, dReal range); + +/* make a random matrix with entries between +/- range. A has size n*m. */ +ODE_API void dMakeRandomMatrix (dReal *A, int n, int m, dReal range); + +/* clear the upper triangle of a square matrix */ +ODE_API void dClearUpperTriangle (dReal *A, int n); + +/* return the maximum element difference between the two n*m matrices */ +ODE_API dReal dMaxDifference (const dReal *A, const dReal *B, int n, int m); + +/* return the maximum element difference between the lower triangle of two + * n*n matrices */ +ODE_API dReal dMaxDifferenceLowerTriangle (const dReal *A, const dReal *B, int n); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/objects.h b/misc/builddeps/emscripten/ode/include/ode/objects.h new file mode 100644 index 00000000..2bf07a40 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/objects.h @@ -0,0 +1,1749 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_OBJECTS_H_ +#define _ODE_OBJECTS_H_ + +#include +#include +#include + +#ifdef __cplusplus +extern "C" { +#endif + +/** + * @defgroup world World + * + * The world object is a container for rigid bodies and joints. Objects in + * different worlds can not interact, for example rigid bodies from two + * different worlds can not collide. + * + * All the objects in a world exist at the same point in time, thus one + * reason to use separate worlds is to simulate systems at different rates. + * Most applications will only need one world. + */ + + +/** + * @brief Create a new, empty world and return its ID number. + * @return an identifier + * @ingroup world + */ +ODE_API dWorldID dWorldCreate(void); + + +/** + * @brief Destroy a world and everything in it. + * + * This includes all bodies, and all joints that are not part of a joint + * group. Joints that are part of a joint group will be deactivated, and + * can be destroyed by calling, for example, dJointGroupEmpty(). + * @ingroup world + * @param world the identifier for the world the be destroyed. + */ +ODE_API void dWorldDestroy (dWorldID world); + + +/** + * @brief Set the world's global gravity vector. + * + * The units are m/s^2, so Earth's gravity vector would be (0,0,-9.81), + * assuming that +z is up. The default is no gravity, i.e. (0,0,0). + * + * @ingroup world + */ +ODE_API void dWorldSetGravity (dWorldID, dReal x, dReal y, dReal z); + + +/** + * @brief Get the gravity vector for a given world. + * @ingroup world + */ +ODE_API void dWorldGetGravity (dWorldID, dVector3 gravity); + + +/** + * @brief Set the global ERP value, that controls how much error + * correction is performed in each time step. + * @ingroup world + * @param dWorldID the identifier of the world. + * @param erp Typical values are in the range 0.1--0.8. The default is 0.2. + */ +ODE_API void dWorldSetERP (dWorldID, dReal erp); + +/** + * @brief Get the error reduction parameter. + * @ingroup world + * @return ERP value + */ +ODE_API dReal dWorldGetERP (dWorldID); + + +/** + * @brief Set the global CFM (constraint force mixing) value. + * @ingroup world + * @param cfm Typical values are in the range @m{10^{-9}} -- 1. + * The default is 10^-5 if single precision is being used, or 10^-10 + * if double precision is being used. + */ +ODE_API void dWorldSetCFM (dWorldID, dReal cfm); + +/** + * @brief Get the constraint force mixing value. + * @ingroup world + * @return CFM value + */ +ODE_API dReal dWorldGetCFM (dWorldID); + + +/** + * @brief Step the world. + * + * This uses a "big matrix" method that takes time on the order of m^3 + * and memory on the order of m^2, where m is the total number of constraint + * rows. For large systems this will use a lot of memory and can be very slow, + * but this is currently the most accurate method. + * @ingroup world + * @param stepsize The number of seconds that the simulation has to advance. + */ +ODE_API void dWorldStep (dWorldID, dReal stepsize); + + +/** + * @brief Converts an impulse to a force. + * @ingroup world + * @remarks + * If you want to apply a linear or angular impulse to a rigid body, + * instead of a force or a torque, then you can use this function to convert + * the desired impulse into a force/torque vector before calling the + * BodyAdd... function. + * The current algorithm simply scales the impulse by 1/stepsize, + * where stepsize is the step size for the next step that will be taken. + * This function is given a dWorldID because, in the future, the force + * computation may depend on integrator parameters that are set as + * properties of the world. + */ +ODE_API void dWorldImpulseToForce +( + dWorldID, dReal stepsize, + dReal ix, dReal iy, dReal iz, dVector3 force +); + + +/** + * @brief Step the world. + * @ingroup world + * @remarks + * This uses an iterative method that takes time on the order of m*N + * and memory on the order of m, where m is the total number of constraint + * rows N is the number of iterations. + * For large systems this is a lot faster than dWorldStep(), + * but it is less accurate. + * @remarks + * QuickStep is great for stacks of objects especially when the + * auto-disable feature is used as well. + * However, it has poor accuracy for near-singular systems. + * Near-singular systems can occur when using high-friction contacts, motors, + * or certain articulated structures. For example, a robot with multiple legs + * sitting on the ground may be near-singular. + * @remarks + * There are ways to help overcome QuickStep's inaccuracy problems: + * \li Increase CFM. + * \li Reduce the number of contacts in your system (e.g. use the minimum + * number of contacts for the feet of a robot or creature). + * \li Don't use excessive friction in the contacts. + * \li Use contact slip if appropriate + * \li Avoid kinematic loops (however, kinematic loops are inevitable in + * legged creatures). + * \li Don't use excessive motor strength. + * \liUse force-based motors instead of velocity-based motors. + * + * Increasing the number of QuickStep iterations may help a little bit, but + * it is not going to help much if your system is really near singular. + */ +ODE_API void dWorldQuickStep (dWorldID w, dReal stepsize); + + +/** + * @brief Set the number of iterations that the QuickStep method performs per + * step. + * @ingroup world + * @remarks + * More iterations will give a more accurate solution, but will take + * longer to compute. + * @param num The default is 20 iterations. + */ +ODE_API void dWorldSetQuickStepNumIterations (dWorldID, int num); + + +/** + * @brief Get the number of iterations that the QuickStep method performs per + * step. + * @ingroup world + * @return nr of iterations + */ +ODE_API int dWorldGetQuickStepNumIterations (dWorldID); + +/** + * @brief Set the SOR over-relaxation parameter + * @ingroup world + * @param over_relaxation value to use by SOR + */ +ODE_API void dWorldSetQuickStepW (dWorldID, dReal over_relaxation); + +/** + * @brief Get the SOR over-relaxation parameter + * @ingroup world + * @returns the over-relaxation setting + */ +ODE_API dReal dWorldGetQuickStepW (dWorldID); + +/* World contact parameter functions */ + +/** + * @brief Set the maximum correcting velocity that contacts are allowed + * to generate. + * @ingroup world + * @param vel The default value is infinity (i.e. no limit). + * @remarks + * Reducing this value can help prevent "popping" of deeply embedded objects. + */ +ODE_API void dWorldSetContactMaxCorrectingVel (dWorldID, dReal vel); + +/** + * @brief Get the maximum correcting velocity that contacts are allowed + * to generated. + * @ingroup world + */ +ODE_API dReal dWorldGetContactMaxCorrectingVel (dWorldID); + +/** + * @brief Set the depth of the surface layer around all geometry objects. + * @ingroup world + * @remarks + * Contacts are allowed to sink into the surface layer up to the given + * depth before coming to rest. + * @param depth The default value is zero. + * @remarks + * Increasing this to some small value (e.g. 0.001) can help prevent + * jittering problems due to contacts being repeatedly made and broken. + */ +ODE_API void dWorldSetContactSurfaceLayer (dWorldID, dReal depth); + +/** + * @brief Get the depth of the surface layer around all geometry objects. + * @ingroup world + * @returns the depth + */ +ODE_API dReal dWorldGetContactSurfaceLayer (dWorldID); + +/* StepFast1 functions */ + +/** + * @brief Step the world using the StepFast1 algorithm. + * @param stepsize the nr of seconds to advance the simulation. + * @param maxiterations The number of iterations to perform. + * @ingroup world + */ +ODE_API void dWorldStepFast1(dWorldID, dReal stepsize, int maxiterations); + + +/** + * @defgroup disable Automatic Enabling and Disabling + * + * Every body can be enabled or disabled. Enabled bodies participate in the + * simulation, while disabled bodies are turned off and do not get updated + * during a simulation step. New bodies are always created in the enabled state. + * + * A disabled body that is connected through a joint to an enabled body will be + * automatically re-enabled at the next simulation step. + * + * Disabled bodies do not consume CPU time, therefore to speed up the simulation + * bodies should be disabled when they come to rest. This can be done automatically + * with the auto-disable feature. + * + * If a body has its auto-disable flag turned on, it will automatically disable + * itself when + * @li It has been idle for a given number of simulation steps. + * @li It has also been idle for a given amount of simulation time. + * + * A body is considered to be idle when the magnitudes of both its linear velocity + * and angular velocity are below given thresholds. + * + * Thus, every body has five auto-disable parameters: an enabled flag, a idle step + * count, an idle time, and linear/angular velocity thresholds. Newly created bodies + * get these parameters from world. + */ + +/** + * @brief Set the AutoEnableDepth parameter used by the StepFast1 algorithm. + * @ingroup disable + */ +ODE_API void dWorldSetAutoEnableDepthSF1(dWorldID, int autoEnableDepth); + +/** + * @brief Get the AutoEnableDepth parameter used by the StepFast1 algorithm. + * @ingroup disable + */ +ODE_API int dWorldGetAutoEnableDepthSF1(dWorldID); + +/** + * @brief Get auto disable linear threshold for newly created bodies. + * @ingroup disable + * @return the threshold + */ +ODE_API dReal dWorldGetAutoDisableLinearThreshold (dWorldID); + +/** + * @brief Set auto disable linear threshold for newly created bodies. + * @param linear_threshold default is 0.01 + * @ingroup disable + */ +ODE_API void dWorldSetAutoDisableLinearThreshold (dWorldID, dReal linear_threshold); + +/** + * @brief Get auto disable angular threshold for newly created bodies. + * @ingroup disable + * @return the threshold + */ +ODE_API dReal dWorldGetAutoDisableAngularThreshold (dWorldID); + +/** + * @brief Set auto disable angular threshold for newly created bodies. + * @param linear_threshold default is 0.01 + * @ingroup disable + */ +ODE_API void dWorldSetAutoDisableAngularThreshold (dWorldID, dReal angular_threshold); + +/** + * @brief Get auto disable steps for newly created bodies. + * @ingroup disable + * @return nr of steps + */ +ODE_API int dWorldGetAutoDisableSteps (dWorldID); + +/** + * @brief Set auto disable steps for newly created bodies. + * @ingroup disable + * @param steps default is 10 + */ +ODE_API void dWorldSetAutoDisableSteps (dWorldID, int steps); + +/** + * @brief Get auto disable time for newly created bodies. + * @ingroup disable + * @return nr of seconds + */ +ODE_API dReal dWorldGetAutoDisableTime (dWorldID); + +/** + * @brief Set auto disable time for newly created bodies. + * @ingroup disable + * @param time default is 0 seconds + */ +ODE_API void dWorldSetAutoDisableTime (dWorldID, dReal time); + +/** + * @brief Get auto disable flag for newly created bodies. + * @ingroup disable + * @return 0 or 1 + */ +ODE_API int dWorldGetAutoDisableFlag (dWorldID); + +/** + * @brief Set auto disable flag for newly created bodies. + * @ingroup disable + * @param do_auto_disable default is false. + */ +ODE_API void dWorldSetAutoDisableFlag (dWorldID, int do_auto_disable); + + + +/** + * @defgroup bodies Rigid Bodies + * + * A rigid body has various properties from the point of view of the + * simulation. Some properties change over time: + * + * @li Position vector (x,y,z) of the body's point of reference. + * Currently the point of reference must correspond to the body's center of mass. + * @li Linear velocity of the point of reference, a vector (vx,vy,vz). + * @li Orientation of a body, represented by a quaternion (qs,qx,qy,qz) or + * a 3x3 rotation matrix. + * @li Angular velocity vector (wx,wy,wz) which describes how the orientation + * changes over time. + * + * Other body properties are usually constant over time: + * + * @li Mass of the body. + * @li Position of the center of mass with respect to the point of reference. + * In the current implementation the center of mass and the point of + * reference must coincide. + * @li Inertia matrix. This is a 3x3 matrix that describes how the body's mass + * is distributed around the center of mass. Conceptually each body has an + * x-y-z coordinate frame embedded in it that moves and rotates with the body. + * + * The origin of this coordinate frame is the body's point of reference. Some values + * in ODE (vectors, matrices etc) are relative to the body coordinate frame, and others + * are relative to the global coordinate frame. + * + * Note that the shape of a rigid body is not a dynamical property (except insofar as + * it influences the various mass properties). It is only collision detection that cares + * about the detailed shape of the body. + */ + + +/** + * @brief Get auto disable linear threshold. + * @ingroup bodies + * @return the threshold + */ +ODE_API dReal dBodyGetAutoDisableLinearThreshold (dBodyID); + +/** + * @brief Set auto disable linear threshold. + * @ingroup bodies + * @return the threshold + */ +ODE_API void dBodySetAutoDisableLinearThreshold (dBodyID, dReal linear_threshold); + +/** + * @brief Get auto disable angular threshold. + * @ingroup bodies + * @return the threshold + */ +ODE_API dReal dBodyGetAutoDisableAngularThreshold (dBodyID); + +/** + * @brief Set auto disable angular threshold. + * @ingroup bodies + * @return the threshold + */ +ODE_API void dBodySetAutoDisableAngularThreshold (dBodyID, dReal angular_threshold); + +/** + * @brief Get auto disable steps. + * @ingroup bodies + * @return the nr of steps + */ +ODE_API int dBodyGetAutoDisableSteps (dBodyID); + +/** + * @brief Set auto disable steps. + * @ingroup bodies + * @param steps the nr of steps. + */ +ODE_API void dBodySetAutoDisableSteps (dBodyID, int steps); + +/** + * @brief Get auto disable time. + * @ingroup bodies + * @return nr of seconds + */ +ODE_API dReal dBodyGetAutoDisableTime (dBodyID); + +/** + * @brief Set auto disable time. + * @ingroup bodies + * @param time nr of seconds. + */ +ODE_API void dBodySetAutoDisableTime (dBodyID, dReal time); + +/** + * @brief Get auto disable flag. + * @ingroup bodies + * @return 0 or 1 + */ +ODE_API int dBodyGetAutoDisableFlag (dBodyID); + +/** + * @brief Set auto disable flag. + * @ingroup bodies + * @param do_auto_disable 0 or 1 + */ +ODE_API void dBodySetAutoDisableFlag (dBodyID, int do_auto_disable); + +/** + * @brief Set auto disable defaults. + * @remarks + * Set the values for the body to those set as default for the world. + * @ingroup bodies + */ +ODE_API void dBodySetAutoDisableDefaults (dBodyID); + + + +/** + * @brief Create a body in given world. + * @remarks + * Default mass parameters are at position (0,0,0). + * @ingroup bodies + */ +ODE_API dBodyID dBodyCreate (dWorldID); + +/** + * @brief Destroy a body. + * @remarks + * All joints that are attached to this body will be put into limbo: + * i.e. unattached and not affecting the simulation, but they will NOT be + * deleted. + * @ingroup bodies + */ +ODE_API void dBodyDestroy (dBodyID); + +/** + * @brief Set the body's user-data pointer. + * @ingroup bodies + * @param data arbitraty pointer + */ +ODE_API void dBodySetData (dBodyID, void *data); + +/** + * @brief Get the body's user-data pointer. + * @ingroup bodies + * @return a pointer to the user's data. + */ +ODE_API void *dBodyGetData (dBodyID); + +/** + * @brief Set position of a body. + * @remarks + * After setting, the outcome of the simulation is undefined + * if the new configuration is inconsistent with the joints/constraints + * that are present. + * @ingroup bodies + */ +ODE_API void dBodySetPosition (dBodyID, dReal x, dReal y, dReal z); + +/** + * @brief Set the orientation of a body. + * @ingroup bodies + * @remarks + * After setting, the outcome of the simulation is undefined + * if the new configuration is inconsistent with the joints/constraints + * that are present. + */ +ODE_API void dBodySetRotation (dBodyID, const dMatrix3 R); + +/** + * @brief Set the orientation of a body. + * @ingroup bodies + * @remarks + * After setting, the outcome of the simulation is undefined + * if the new configuration is inconsistent with the joints/constraints + * that are present. + */ +ODE_API void dBodySetQuaternion (dBodyID, const dQuaternion q); + +/** + * @brief Set the linear velocity of a body. + * @ingroup bodies + */ +ODE_API void dBodySetLinearVel (dBodyID, dReal x, dReal y, dReal z); + +/** + * @brief Set the angular velocity of a body. + * @ingroup bodies + */ +ODE_API void dBodySetAngularVel (dBodyID, dReal x, dReal y, dReal z); + +/** + * @brief Get the position of a body. + * @ingroup bodies + * @remarks + * When getting, the returned values are pointers to internal data structures, + * so the vectors are valid until any changes are made to the rigid body + * system structure. + * @sa dBodyCopyPosition + */ +ODE_API const dReal * dBodyGetPosition (dBodyID); + + +/** + * @brief Copy the position of a body into a vector. + * @ingroup bodies + * @param body the body to query + * @param pos a copy of the body position + * @sa dBodyGetPosition + */ +ODE_API void dBodyCopyPosition (dBodyID body, dVector3 pos); + + +/** + * @brief Get the rotation of a body. + * @ingroup bodies + * @return pointer to a 4x3 rotation matrix. + */ +ODE_API const dReal * dBodyGetRotation (dBodyID); + +/** + * @brief Get the rotation of a body. + * @ingroup bodies + * @return pointer to 4 scalars that represent the quaternion. + */ +ODE_API const dReal * dBodyGetQuaternion (dBodyID); + + +/** + * @brief Copy the orientation of a body into a quaternion. + * @ingroup bodies + * @param body the body to query + * @param quat a copy of the orientation quaternion + * @sa dBodyGetQuaternion + */ +ODE_API void dBodyCopyQuaternion(dBodyID body, dQuaternion quat); + + +/** + * @brief Get the linear velocity of a body. + * @ingroup bodies + */ +ODE_API const dReal * dBodyGetLinearVel (dBodyID); + +/** + * @brief Get the angular velocity of a body. + * @ingroup bodies + */ +ODE_API const dReal * dBodyGetAngularVel (dBodyID); + +/** + * @brief Set the mass of a body. + * @ingroup bodies + */ +ODE_API void dBodySetMass (dBodyID, const dMass *mass); + +/** + * @brief Get the mass of a body. + * @ingroup bodies + */ +ODE_API void dBodyGetMass (dBodyID, dMass *mass); + +/** + * @brief Add force at centre of mass of body in absolute coordinates. + * @ingroup bodies + */ +ODE_API void dBodyAddForce (dBodyID, dReal fx, dReal fy, dReal fz); + +/** + * @brief Add torque at centre of mass of body in absolute coordinates. + * @ingroup bodies + */ +ODE_API void dBodyAddTorque (dBodyID, dReal fx, dReal fy, dReal fz); + +/** + * @brief Add force at centre of mass of body in coordinates relative to body. + * @ingroup bodies + */ +ODE_API void dBodyAddRelForce (dBodyID, dReal fx, dReal fy, dReal fz); + +/** + * @brief Add torque at centre of mass of body in coordinates relative to body. + * @ingroup bodies + */ +ODE_API void dBodyAddRelTorque (dBodyID, dReal fx, dReal fy, dReal fz); + +/** + * @brief Add force at specified point in body in global coordinates. + * @ingroup bodies + */ +ODE_API void dBodyAddForceAtPos (dBodyID, dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz); +/** + * @brief Add force at specified point in body in local coordinates. + * @ingroup bodies + */ +ODE_API void dBodyAddForceAtRelPos (dBodyID, dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz); +/** + * @brief Add force at specified point in body in global coordinates. + * @ingroup bodies + */ +ODE_API void dBodyAddRelForceAtPos (dBodyID, dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz); +/** + * @brief Add force at specified point in body in local coordinates. + * @ingroup bodies + */ +ODE_API void dBodyAddRelForceAtRelPos (dBodyID, dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz); + +/** + * @brief Return the current accumulated force vector. + * @return points to an array of 3 reals. + * @remarks + * The returned values are pointers to internal data structures, so + * the vectors are only valid until any changes are made to the rigid + * body system. + * @ingroup bodies + */ +ODE_API const dReal * dBodyGetForce (dBodyID); + +/** + * @brief Return the current accumulated torque vector. + * @return points to an array of 3 reals. + * @remarks + * The returned values are pointers to internal data structures, so + * the vectors are only valid until any changes are made to the rigid + * body system. + * @ingroup bodies + */ +ODE_API const dReal * dBodyGetTorque (dBodyID); + +/** + * @brief Set the body force accumulation vector. + * @remarks + * This is mostly useful to zero the force and torque for deactivated bodies + * before they are reactivated, in the case where the force-adding functions + * were called on them while they were deactivated. + * @ingroup bodies + */ +ODE_API void dBodySetForce (dBodyID b, dReal x, dReal y, dReal z); + +/** + * @brief Set the body torque accumulation vector. + * @remarks + * This is mostly useful to zero the force and torque for deactivated bodies + * before they are reactivated, in the case where the force-adding functions + * were called on them while they were deactivated. + * @ingroup bodies + */ +ODE_API void dBodySetTorque (dBodyID b, dReal x, dReal y, dReal z); + +/** + * @brief Get world position of a relative point on body. + * @ingroup bodies + * @param result will contain the result. + */ +ODE_API void dBodyGetRelPointPos +( + dBodyID, dReal px, dReal py, dReal pz, + dVector3 result +); + +/** + * @brief Get velocity vector in global coords of a relative point on body. + * @ingroup bodies + * @param result will contain the result. + */ +ODE_API void dBodyGetRelPointVel +( + dBodyID, dReal px, dReal py, dReal pz, + dVector3 result +); + +/** + * @brief Get velocity vector in global coords of a globally + * specified point on a body. + * @ingroup bodies + * @param result will contain the result. + */ +ODE_API void dBodyGetPointVel +( + dBodyID, dReal px, dReal py, dReal pz, + dVector3 result +); + +/** + * @brief takes a point in global coordinates and returns + * the point's position in body-relative coordinates. + * @remarks + * This is the inverse of dBodyGetRelPointPos() + * @ingroup bodies + * @param result will contain the result. + */ +ODE_API void dBodyGetPosRelPoint +( + dBodyID, dReal px, dReal py, dReal pz, + dVector3 result +); + +/** + * @brief Convert from local to world coordinates. + * @ingroup bodies + * @param result will contain the result. + */ +ODE_API void dBodyVectorToWorld +( + dBodyID, dReal px, dReal py, dReal pz, + dVector3 result +); + +/** + * @brief Convert from world to local coordinates. + * @ingroup bodies + * @param result will contain the result. + */ +ODE_API void dBodyVectorFromWorld +( + dBodyID, dReal px, dReal py, dReal pz, + dVector3 result +); + +/** + * @brief controls the way a body's orientation is updated at each timestep. + * @ingroup bodies + * @param mode can be 0 or 1: + * \li 0: An ``infinitesimal'' orientation update is used. + * This is fast to compute, but it can occasionally cause inaccuracies + * for bodies that are rotating at high speed, especially when those + * bodies are joined to other bodies. + * This is the default for every new body that is created. + * \li 1: A ``finite'' orientation update is used. + * This is more costly to compute, but will be more accurate for high + * speed rotations. + * @remarks + * Note however that high speed rotations can result in many types of + * error in a simulation, and the finite mode will only fix one of those + * sources of error. + */ +ODE_API void dBodySetFiniteRotationMode (dBodyID, int mode); + +/** + * @brief sets the finite rotation axis for a body. + * @ingroup bodies + * @remarks + * This is axis only has meaning when the finite rotation mode is set + * If this axis is zero (0,0,0), full finite rotations are performed on + * the body. + * If this axis is nonzero, the body is rotated by performing a partial finite + * rotation along the axis direction followed by an infinitesimal rotation + * along an orthogonal direction. + * @remarks + * This can be useful to alleviate certain sources of error caused by quickly + * spinning bodies. For example, if a car wheel is rotating at high speed + * you can call this function with the wheel's hinge axis as the argument to + * try and improve its behavior. + */ +ODE_API void dBodySetFiniteRotationAxis (dBodyID, dReal x, dReal y, dReal z); + +/** + * @brief Get the way a body's orientation is updated each timestep. + * @ingroup bodies + * @return the mode 0 (infitesimal) or 1 (finite). + */ +ODE_API int dBodyGetFiniteRotationMode (dBodyID); + +/** + * @brief Get the finite rotation axis. + * @param result will contain the axis. + * @ingroup bodies + */ +ODE_API void dBodyGetFiniteRotationAxis (dBodyID, dVector3 result); + +/** + * @brief Get the number of joints that are attached to this body. + * @ingroup bodies + * @return nr of joints + */ +ODE_API int dBodyGetNumJoints (dBodyID b); + +/** + * @brief Return a joint attached to this body, given by index. + * @ingroup bodies + * @param index valid range is 0 to n-1 where n is the value returned by + * dBodyGetNumJoints(). + */ +ODE_API dJointID dBodyGetJoint (dBodyID, int index); + +/** + * @brief Manually enable a body. + * @param dBodyID identification of body. + * @ingroup bodies + */ +ODE_API void dBodyEnable (dBodyID); + +/** + * @brief Manually disable a body. + * @ingroup bodies + * @remarks + * A disabled body that is connected through a joint to an enabled body will + * be automatically re-enabled at the next simulation step. + */ +ODE_API void dBodyDisable (dBodyID); + +/** + * @brief Check wether a body is enabled. + * @ingroup bodies + * @return 1 if a body is currently enabled or 0 if it is disabled. + */ +ODE_API int dBodyIsEnabled (dBodyID); + +/** + * @brief Set whether the body is influenced by the world's gravity or not. + * @ingroup bodies + * @param mode when nonzero gravity affects this body. + * @remarks + * Newly created bodies are always influenced by the world's gravity. + */ +ODE_API void dBodySetGravityMode (dBodyID b, int mode); + +/** + * @brief Get whether the body is influenced by the world's gravity or not. + * @ingroup bodies + * @return nonzero means gravity affects this body. + */ +ODE_API int dBodyGetGravityMode (dBodyID b); + + + +/** + * @defgroup joints Joints + * + * In real life a joint is something like a hinge, that is used to connect two + * objects. + * In ODE a joint is very similar: It is a relationship that is enforced between + * two bodies so that they can only have certain positions and orientations + * relative to each other. + * This relationship is called a constraint -- the words joint and + * constraint are often used interchangeably. + * + * A joint has a set of parameters that can be set. These include: + * + * + * \li dParamLoStop Low stop angle or position. Setting this to + * -dInfinity (the default value) turns off the low stop. + * For rotational joints, this stop must be greater than -pi to be + * effective. + * \li dParamHiStop High stop angle or position. Setting this to + * dInfinity (the default value) turns off the high stop. + * For rotational joints, this stop must be less than pi to be + * effective. + * If the high stop is less than the low stop then both stops will + * be ineffective. + * \li dParamVel Desired motor velocity (this will be an angular or + * linear velocity). + * \li dParamFMax The maximum force or torque that the motor will use to + * achieve the desired velocity. + * This must always be greater than or equal to zero. + * Setting this to zero (the default value) turns off the motor. + * \li dParamFudgeFactor The current joint stop/motor implementation has + * a small problem: + * when the joint is at one stop and the motor is set to move it away + * from the stop, too much force may be applied for one time step, + * causing a ``jumping'' motion. + * This fudge factor is used to scale this excess force. + * It should have a value between zero and one (the default value). + * If the jumping motion is too visible in a joint, the value can be + * reduced. + * Making this value too small can prevent the motor from being able to + * move the joint away from a stop. + * \li dParamBounce The bouncyness of the stops. + * This is a restitution parameter in the range 0..1. + * 0 means the stops are not bouncy at all, 1 means maximum bouncyness. + * \li dParamCFM The constraint force mixing (CFM) value used when not + * at a stop. + * \li dParamStopERP The error reduction parameter (ERP) used by the + * stops. + * \li dParamStopCFM The constraint force mixing (CFM) value used by the + * stops. Together with the ERP value this can be used to get spongy or + * soft stops. + * Note that this is intended for unpowered joints, it does not really + * work as expected when a powered joint reaches its limit. + * \li dParamSuspensionERP Suspension error reduction parameter (ERP). + * Currently this is only implemented on the hinge-2 joint. + * \li dParamSuspensionCFM Suspension constraint force mixing (CFM) value. + * Currently this is only implemented on the hinge-2 joint. + * + * If a particular parameter is not implemented by a given joint, setting it + * will have no effect. + * These parameter names can be optionally followed by a digit (2 or 3) + * to indicate the second or third set of parameters, e.g. for the second axis + * in a hinge-2 joint, or the third axis in an AMotor joint. + */ + + +/** + * @brief Create a new joint of the ball type. + * @ingroup joints + * @remarks + * The joint is initially in "limbo" (i.e. it has no effect on the simulation) + * because it does not connect to any bodies. + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreateBall (dWorldID, dJointGroupID); + +/** + * @brief Create a new joint of the hinge type. + * @ingroup joints + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreateHinge (dWorldID, dJointGroupID); + +/** + * @brief Create a new joint of the slider type. + * @ingroup joints + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreateSlider (dWorldID, dJointGroupID); + +/** + * @brief Create a new joint of the contact type. + * @ingroup joints + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreateContact (dWorldID, dJointGroupID, const dContact *); + +/** + * @brief Create a new joint of the hinge2 type. + * @ingroup joints + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreateHinge2 (dWorldID, dJointGroupID); + +/** + * @brief Create a new joint of the universal type. + * @ingroup joints + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreateUniversal (dWorldID, dJointGroupID); + +/** + * @brief Create a new joint of the fixed type. + * @ingroup joints + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreateFixed (dWorldID, dJointGroupID); + +ODE_API dJointID dJointCreateNull (dWorldID, dJointGroupID); + +/** + * @brief Create a new joint of the A-motor type. + * @ingroup joints + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreateAMotor (dWorldID, dJointGroupID); + +/** + * @brief Create a new joint of the L-motor type. + * @ingroup joints + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreateLMotor (dWorldID, dJointGroupID); + +/** + * @brief Create a new joint of the plane-2d type. + * @ingroup joints + * @param dJointGroupID set to 0 to allocate the joint normally. + * If it is nonzero the joint is allocated in the given joint group. + */ +ODE_API dJointID dJointCreatePlane2D (dWorldID, dJointGroupID); + +/** + * @brief Destroy a joint. + * @ingroup joints + * + * disconnects it from its attached bodies and removing it from the world. + * However, if the joint is a member of a group then this function has no + * effect - to destroy that joint the group must be emptied or destroyed. + */ +ODE_API void dJointDestroy (dJointID); + + +/** + * @brief Create a joint group + * @ingroup joints + * @param max_size deprecated. Set to 0. + */ +ODE_API dJointGroupID dJointGroupCreate (int max_size); + +/** + * @brief Destroy a joint group. + * @ingroup joints + * + * All joints in the joint group will be destroyed. + */ +ODE_API void dJointGroupDestroy (dJointGroupID); + +/** + * @brief Empty a joint group. + * @ingroup joints + * + * All joints in the joint group will be destroyed, + * but the joint group itself will not be destroyed. + */ +ODE_API void dJointGroupEmpty (dJointGroupID); + +/** + * @brief Attach the joint to some new bodies. + * @ingroup joints + * + * If the joint is already attached, it will be detached from the old bodies + * first. + * To attach this joint to only one body, set body1 or body2 to zero - a zero + * body refers to the static environment. + * Setting both bodies to zero puts the joint into "limbo", i.e. it will + * have no effect on the simulation. + * @remarks + * Some joints, like hinge-2 need to be attached to two bodies to work. + */ +ODE_API void dJointAttach (dJointID, dBodyID body1, dBodyID body2); + +/** + * @brief Set the user-data pointer + * @ingroup joints + */ +ODE_API void dJointSetData (dJointID, void *data); + +/** + * @brief Get the user-data pointer + * @ingroup joints + */ +ODE_API void *dJointGetData (dJointID); + +/** + * @brief Get the type of the joint + * @ingroup joints + * @return the type, being one of these: + * \li JointTypeBall + * \li JointTypeHinge + * \li JointTypeSlider + * \li JointTypeContact + * \li JointTypeUniversal + * \li JointTypeHinge2 + * \li JointTypeFixed + * \li JointTypeAMotor + * \li JointTypeLMotor + */ +ODE_API int dJointGetType (dJointID); + +/** + * @brief Return the bodies that this joint connects. + * @ingroup joints + * @param index return the first (0) or second (1) body. + * @remarks + * If one of these returned body IDs is zero, the joint connects the other body + * to the static environment. + * If both body IDs are zero, the joint is in ``limbo'' and has no effect on + * the simulation. + */ +ODE_API dBodyID dJointGetBody (dJointID, int index); + +/** + * @brief Sets the datastructure that is to receive the feedback. + * + * The feedback can be used by the user, so that it is known how + * much force an individual joint exerts. + * @ingroup joints + */ +ODE_API void dJointSetFeedback (dJointID, dJointFeedback *); + +/** + * @brief Gets the datastructure that is to receive the feedback. + * @ingroup joints + */ +ODE_API dJointFeedback *dJointGetFeedback (dJointID); + +/** + * @brief Set the joint anchor point. + * @ingroup joints + * + * The joint will try to keep this point on each body + * together. The input is specified in world coordinates. + */ +ODE_API void dJointSetBallAnchor (dJointID, dReal x, dReal y, dReal z); + +/** + * @brief Set the joint anchor point. + * @ingroup joints + */ +ODE_API void dJointSetBallAnchor2 (dJointID, dReal x, dReal y, dReal z); + +/** + * @brief Set hinge anchor parameter. + * @ingroup joints + */ +ODE_API void dJointSetHingeAnchor (dJointID, dReal x, dReal y, dReal z); + +ODE_API void dJointSetHingeAnchorDelta (dJointID, dReal x, dReal y, dReal z, dReal ax, dReal ay, dReal az); + +/** + * @brief Set hinge axis. + * @ingroup joints + */ +ODE_API void dJointSetHingeAxis (dJointID, dReal x, dReal y, dReal z); + +/** + * @brief set joint parameter + * @ingroup joints + */ +ODE_API void dJointSetHingeParam (dJointID, int parameter, dReal value); + +/** + * @brief Applies the torque about the hinge axis. + * + * That is, it applies a torque with specified magnitude in the direction + * of the hinge axis, to body 1, and with the same magnitude but in opposite + * direction to body 2. This function is just a wrapper for dBodyAddTorque()} + * @ingroup joints + */ +ODE_API void dJointAddHingeTorque(dJointID joint, dReal torque); + +/** + * @brief set the joint axis + * @ingroup joints + */ +ODE_API void dJointSetSliderAxis (dJointID, dReal x, dReal y, dReal z); + +/** + * @ingroup joints + */ +ODE_API void dJointSetSliderAxisDelta (dJointID, dReal x, dReal y, dReal z, dReal ax, dReal ay, dReal az); + +/** + * @brief set joint parameter + * @ingroup joints + */ +ODE_API void dJointSetSliderParam (dJointID, int parameter, dReal value); + +/** + * @brief Applies the given force in the slider's direction. + * + * That is, it applies a force with specified magnitude, in the direction of + * slider's axis, to body1, and with the same magnitude but opposite + * direction to body2. This function is just a wrapper for dBodyAddForce(). + * @ingroup joints + */ +ODE_API void dJointAddSliderForce(dJointID joint, dReal force); + +/** + * @brief set anchor + * @ingroup joints + */ +ODE_API void dJointSetHinge2Anchor (dJointID, dReal x, dReal y, dReal z); + +/** + * @brief set axis + * @ingroup joints + */ +ODE_API void dJointSetHinge2Axis1 (dJointID, dReal x, dReal y, dReal z); + +/** + * @brief set axis + * @ingroup joints + */ +ODE_API void dJointSetHinge2Axis2 (dJointID, dReal x, dReal y, dReal z); + +/** + * @brief set joint parameter + * @ingroup joints + */ +ODE_API void dJointSetHinge2Param (dJointID, int parameter, dReal value); + +/** + * @brief Applies torque1 about the hinge2's axis 1, torque2 about the + * hinge2's axis 2. + * @remarks This function is just a wrapper for dBodyAddTorque(). + * @ingroup joints + */ +ODE_API void dJointAddHinge2Torques(dJointID joint, dReal torque1, dReal torque2); + +/** + * @brief set anchor + * @ingroup joints + */ +ODE_API void dJointSetUniversalAnchor (dJointID, dReal x, dReal y, dReal z); + +/** + * @brief set axis + * @ingroup joints + */ +ODE_API void dJointSetUniversalAxis1 (dJointID, dReal x, dReal y, dReal z); + +/** + * @brief set axis + * @ingroup joints + */ +ODE_API void dJointSetUniversalAxis2 (dJointID, dReal x, dReal y, dReal z); + +/** + * @brief set joint parameter + * @ingroup joints + */ +ODE_API void dJointSetUniversalParam (dJointID, int parameter, dReal value); + +/** + * @brief Applies torque1 about the universal's axis 1, torque2 about the + * universal's axis 2. + * @remarks This function is just a wrapper for dBodyAddTorque(). + * @ingroup joints + */ +ODE_API void dJointAddUniversalTorques(dJointID joint, dReal torque1, dReal torque2); + +/** + * @brief Call this on the fixed joint after it has been attached to + * remember the current desired relative offset and desired relative + * rotation between the bodies. + * @ingroup joints + */ +ODE_API void dJointSetFixed (dJointID); + +/** + * @brief set the nr of axes + * @param num 0..3 + * @ingroup joints + */ +ODE_API void dJointSetAMotorNumAxes (dJointID, int num); + +/** + * @brief set axis + * @ingroup joints + */ +ODE_API void dJointSetAMotorAxis (dJointID, int anum, int rel, + dReal x, dReal y, dReal z); + +/** + * @brief Tell the AMotor what the current angle is along axis anum. + * + * This function should only be called in dAMotorUser mode, because in this + * mode the AMotor has no other way of knowing the joint angles. + * The angle information is needed if stops have been set along the axis, + * but it is not needed for axis motors. + * @ingroup joints + */ +ODE_API void dJointSetAMotorAngle (dJointID, int anum, dReal angle); + +/** + * @brief set joint parameter + * @ingroup joints + */ +ODE_API void dJointSetAMotorParam (dJointID, int parameter, dReal value); + +/** + * @brief set mode + * @ingroup joints + */ +ODE_API void dJointSetAMotorMode (dJointID, int mode); + +/** + * @brief Applies torque0 about the AMotor's axis 0, torque1 about the + * AMotor's axis 1, and torque2 about the AMotor's axis 2. + * @remarks + * If the motor has fewer than three axes, the higher torques are ignored. + * This function is just a wrapper for dBodyAddTorque(). + * @ingroup joints + */ +ODE_API void dJointAddAMotorTorques (dJointID, dReal torque1, dReal torque2, dReal torque3); + +/** + * @brief Set the number of axes that will be controlled by the LMotor. + * @param num can range from 0 (which effectively deactivates the joint) to 3. + * @ingroup joints + */ +ODE_API void dJointSetLMotorNumAxes (dJointID, int num); + +/** + * @brief Set the AMotor axes. + * @param anum selects the axis to change (0,1 or 2). + * @param rel Each axis can have one of three ``relative orientation'' modes + * \li 0: The axis is anchored to the global frame. + * \li 1: The axis is anchored to the first body. + * \li 2: The axis is anchored to the second body. + * @remarks The axis vector is always specified in global coordinates + * regardless of the setting of rel. + * @ingroup joints + */ +ODE_API void dJointSetLMotorAxis (dJointID, int anum, int rel, dReal x, dReal y, dReal z); + +/** + * @brief set joint parameter + * @ingroup joints + */ +ODE_API void dJointSetLMotorParam (dJointID, int parameter, dReal value); + +/** + * @ingroup joints + */ +ODE_API void dJointSetPlane2DXParam (dJointID, int parameter, dReal value); + +/** + * @ingroup joints + */ + +ODE_API void dJointSetPlane2DYParam (dJointID, int parameter, dReal value); + +/** + * @ingroup joints + */ +ODE_API void dJointSetPlane2DAngleParam (dJointID, int parameter, dReal value); + +/** + * @brief Get the joint anchor point, in world coordinates. + * + * This returns the point on body 1. If the joint is perfectly satisfied, + * this will be the same as the point on body 2. + */ +ODE_API void dJointGetBallAnchor (dJointID, dVector3 result); + +/** + * @brief Get the joint anchor point, in world coordinates. + * + * This returns the point on body 2. You can think of a ball and socket + * joint as trying to keep the result of dJointGetBallAnchor() and + * dJointGetBallAnchor2() the same. If the joint is perfectly satisfied, + * this function will return the same value as dJointGetBallAnchor() to + * within roundoff errors. dJointGetBallAnchor2() can be used, along with + * dJointGetBallAnchor(), to see how far the joint has come apart. + */ +ODE_API void dJointGetBallAnchor2 (dJointID, dVector3 result); + +/** + * @brief Get the hinge anchor point, in world coordinates. + * + * This returns the point on body 1. If the joint is perfectly satisfied, + * this will be the same as the point on body 2. + * @ingroup joints + */ +ODE_API void dJointGetHingeAnchor (dJointID, dVector3 result); + +/** + * @brief Get the joint anchor point, in world coordinates. + * @return The point on body 2. If the joint is perfectly satisfied, + * this will return the same value as dJointGetHingeAnchor(). + * If not, this value will be slightly different. + * This can be used, for example, to see how far the joint has come apart. + * @ingroup joints + */ +ODE_API void dJointGetHingeAnchor2 (dJointID, dVector3 result); + +/** + * @brief get axis + * @ingroup joints + */ +ODE_API void dJointGetHingeAxis (dJointID, dVector3 result); + +/** + * @brief get joint parameter + * @ingroup joints + */ +ODE_API dReal dJointGetHingeParam (dJointID, int parameter); + +/** + * @brief Get the hinge angle. + * + * The angle is measured between the two bodies, or between the body and + * the static environment. + * The angle will be between -pi..pi. + * When the hinge anchor or axis is set, the current position of the attached + * bodies is examined and that position will be the zero angle. + * @ingroup joints + */ +ODE_API dReal dJointGetHingeAngle (dJointID); + +/** + * @brief Get the hinge angle time derivative. + * @ingroup joints + */ +ODE_API dReal dJointGetHingeAngleRate (dJointID); + +/** + * @brief Get the slider linear position (i.e. the slider's extension) + * + * When the axis is set, the current position of the attached bodies is + * examined and that position will be the zero position. + * @ingroup joints + */ +ODE_API dReal dJointGetSliderPosition (dJointID); + +/** + * @brief Get the slider linear position's time derivative. + * @ingroup joints + */ +ODE_API dReal dJointGetSliderPositionRate (dJointID); + +/** + * @brief Get the slider axis + * @ingroup joints + */ +ODE_API void dJointGetSliderAxis (dJointID, dVector3 result); + +/** + * @brief get joint parameter + * @ingroup joints + */ +ODE_API dReal dJointGetSliderParam (dJointID, int parameter); + +/** + * @brief Get the joint anchor point, in world coordinates. + * @return the point on body 1. If the joint is perfectly satisfied, + * this will be the same as the point on body 2. + * @ingroup joints + */ +ODE_API void dJointGetHinge2Anchor (dJointID, dVector3 result); + +/** + * @brief Get the joint anchor point, in world coordinates. + * This returns the point on body 2. If the joint is perfectly satisfied, + * this will return the same value as dJointGetHinge2Anchor. + * If not, this value will be slightly different. + * This can be used, for example, to see how far the joint has come apart. + * @ingroup joints + */ +ODE_API void dJointGetHinge2Anchor2 (dJointID, dVector3 result); + +/** + * @brief Get joint axis + * @ingroup joints + */ +ODE_API void dJointGetHinge2Axis1 (dJointID, dVector3 result); + +/** + * @brief Get joint axis + * @ingroup joints + */ +ODE_API void dJointGetHinge2Axis2 (dJointID, dVector3 result); + +/** + * @brief get joint parameter + * @ingroup joints + */ +ODE_API dReal dJointGetHinge2Param (dJointID, int parameter); + +/** + * @brief Get angle + * @ingroup joints + */ +ODE_API dReal dJointGetHinge2Angle1 (dJointID); + +/** + * @brief Get time derivative of angle + * @ingroup joints + */ +ODE_API dReal dJointGetHinge2Angle1Rate (dJointID); + +/** + * @brief Get time derivative of angle + * @ingroup joints + */ +ODE_API dReal dJointGetHinge2Angle2Rate (dJointID); + +/** + * @brief Get the joint anchor point, in world coordinates. + * @return the point on body 1. If the joint is perfectly satisfied, + * this will be the same as the point on body 2. + * @ingroup joints + */ +ODE_API void dJointGetUniversalAnchor (dJointID, dVector3 result); + +/** + * @brief Get the joint anchor point, in world coordinates. + * @return This returns the point on body 2. + * @remarks + * You can think of the ball and socket part of a universal joint as + * trying to keep the result of dJointGetBallAnchor() and + * dJointGetBallAnchor2() the same. If the joint is + * perfectly satisfied, this function will return the same value + * as dJointGetUniversalAnchor() to within roundoff errors. + * dJointGetUniversalAnchor2() can be used, along with + * dJointGetUniversalAnchor(), to see how far the joint has come apart. + * @ingroup joints + */ +ODE_API void dJointGetUniversalAnchor2 (dJointID, dVector3 result); + +/** + * @brief Get axis + * @ingroup joints + */ +ODE_API void dJointGetUniversalAxis1 (dJointID, dVector3 result); + +/** + * @brief Get axis + * @ingroup joints + */ +ODE_API void dJointGetUniversalAxis2 (dJointID, dVector3 result); + + +/** + * @brief get joint parameter + * @ingroup joints + */ +ODE_API dReal dJointGetUniversalParam (dJointID, int parameter); + +/** + * @brief Get angle + * @ingroup joints + */ +ODE_API dReal dJointGetUniversalAngle1 (dJointID); + +/** + * @brief Get angle + * @ingroup joints + */ +ODE_API dReal dJointGetUniversalAngle2 (dJointID); + +/** + * @brief Get time derivative of angle + * @ingroup joints + */ +ODE_API dReal dJointGetUniversalAngle1Rate (dJointID); + +/** + * @brief Get time derivative of angle + * @ingroup joints + */ +ODE_API dReal dJointGetUniversalAngle2Rate (dJointID); + +/** + * @brief Get the number of angular axes that will be controlled by the + * AMotor. + * @param num can range from 0 (which effectively deactivates the + * joint) to 3. + * This is automatically set to 3 in dAMotorEuler mode. + * @ingroup joints + */ +ODE_API int dJointGetAMotorNumAxes (dJointID); + +/** + * @brief Get the AMotor axes. + * @param anum selects the axis to change (0,1 or 2). + * @param rel Each axis can have one of three ``relative orientation'' modes. + * \li 0: The axis is anchored to the global frame. + * \li 1: The axis is anchored to the first body. + * \li 2: The axis is anchored to the second body. + * @ingroup joints + */ +ODE_API void dJointGetAMotorAxis (dJointID, int anum, dVector3 result); + +/** + * @brief Get axis + * @remarks + * The axis vector is always specified in global coordinates regardless + * of the setting of rel. + * There are two GetAMotorAxis functions, one to return the axis and one to + * return the relative mode. + * + * For dAMotorEuler mode: + * \li Only axes 0 and 2 need to be set. Axis 1 will be determined + automatically at each time step. + * \li Axes 0 and 2 must be perpendicular to each other. + * \li Axis 0 must be anchored to the first body, axis 2 must be anchored + to the second body. + * @ingroup joints + */ +ODE_API int dJointGetAMotorAxisRel (dJointID, int anum); + +/** + * @brief Get the current angle for axis. + * @remarks + * In dAMotorUser mode this is simply the value that was set with + * dJointSetAMotorAngle(). + * In dAMotorEuler mode this is the corresponding euler angle. + * @ingroup joints + */ +ODE_API dReal dJointGetAMotorAngle (dJointID, int anum); + +/** + * @brief Get the current angle rate for axis anum. + * @remarks + * In dAMotorUser mode this is always zero, as not enough information is + * available. + * In dAMotorEuler mode this is the corresponding euler angle rate. + * @ingroup joints + */ +ODE_API dReal dJointGetAMotorAngleRate (dJointID, int anum); + +/** + * @brief get joint parameter + * @ingroup joints + */ +ODE_API dReal dJointGetAMotorParam (dJointID, int parameter); + +/** + * @brief Get the angular motor mode. + * @param mode must be one of the following constants: + * \li dAMotorUser The AMotor axes and joint angle settings are entirely + * controlled by the user. This is the default mode. + * \li dAMotorEuler Euler angles are automatically computed. + * The axis a1 is also automatically computed. + * The AMotor axes must be set correctly when in this mode, + * as described below. + * When this mode is initially set the current relative orientations + * of the bodies will correspond to all euler angles at zero. + * @ingroup joints + */ +ODE_API int dJointGetAMotorMode (dJointID); + +/** + * @brief Get nr of axes. + * @ingroup joints + */ +ODE_API int dJointGetLMotorNumAxes (dJointID); + +/** + * @brief Get axis. + * @ingroup joints + */ +ODE_API void dJointGetLMotorAxis (dJointID, int anum, dVector3 result); + +/** + * @brief get joint parameter + * @ingroup joints + */ +ODE_API dReal dJointGetLMotorParam (dJointID, int parameter); + + +/** + * @ingroup joints + */ +ODE_API dJointID dConnectingJoint (dBodyID, dBodyID); + +/** + * @ingroup joints + */ +ODE_API int dConnectingJointList (dBodyID, dBodyID, dJointID*); + +/** + * @brief Utility function + * @return 1 if the two bodies are connected together by + * a joint, otherwise return 0. + * @ingroup joints + */ +ODE_API int dAreConnected (dBodyID, dBodyID); + +/** + * @brief Utility function + * @return 1 if the two bodies are connected together by + * a joint that does not have type @arg{joint_type}, otherwise return 0. + * @param joint_type is a dJointTypeXXX constant. + * This is useful for deciding whether to add contact joints between two bodies: + * if they are already connected by non-contact joints then it may not be + * appropriate to add contacts, however it is okay to add more contact between- + * bodies that already have contacts. + * @ingroup joints + */ +ODE_API int dAreConnectedExcluding (dBodyID, dBodyID, int joint_type); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/ode.h b/misc/builddeps/emscripten/ode/include/ode/ode.h new file mode 100644 index 00000000..00cd500b --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/ode.h @@ -0,0 +1,47 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_ODE_H_ +#define _ODE_ODE_H_ + +/* include *everything* here */ + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/odecpp.h b/misc/builddeps/emscripten/ode/include/ode/odecpp.h new file mode 100644 index 00000000..fc45ace7 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/odecpp.h @@ -0,0 +1,659 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +/* C++ interface for non-collision stuff */ + + +#ifndef _ODE_ODECPP_H_ +#define _ODE_ODECPP_H_ +#ifdef __cplusplus + +#include + + +class dWorld { + dWorldID _id; + + // intentionally undefined, don't use these + dWorld (const dWorld &); + void operator= (const dWorld &); + +public: + dWorld() + { _id = dWorldCreate(); } + ~dWorld() + { dWorldDestroy (_id); } + + dWorldID id() const + { return _id; } + operator dWorldID() const + { return _id; } + + void setGravity (dReal x, dReal y, dReal z) + { dWorldSetGravity (_id,x,y,z); } + void getGravity (dVector3 g) const + { dWorldGetGravity (_id,g); } + + void setERP (dReal erp) + { dWorldSetERP(_id, erp); } + dReal getERP() const + { return dWorldGetERP(_id); } + + void setCFM (dReal cfm) + { dWorldSetCFM(_id, cfm); } + dReal getCFM() const + { return dWorldGetCFM(_id); } + + void step (dReal stepsize) + { dWorldStep (_id,stepsize); } + + void stepFast1 (dReal stepsize, int maxiterations) + { dWorldStepFast1 (_id,stepsize,maxiterations); } + void setAutoEnableDepthSF1(dWorldID, int depth) + { dWorldSetAutoEnableDepthSF1 (_id, depth); } + int getAutoEnableDepthSF1(dWorldID) + { return dWorldGetAutoEnableDepthSF1 (_id); } + + void setAutoDisableLinearThreshold (dReal threshold) + { dWorldSetAutoDisableLinearThreshold (_id,threshold); } + dReal getAutoDisableLinearThreshold() + { return dWorldGetAutoDisableLinearThreshold (_id); } + void setAutoDisableAngularThreshold (dReal threshold) + { dWorldSetAutoDisableAngularThreshold (_id,threshold); } + dReal getAutoDisableAngularThreshold() + { return dWorldGetAutoDisableAngularThreshold (_id); } + void setAutoDisableSteps (int steps) + { dWorldSetAutoDisableSteps (_id,steps); } + int getAutoDisableSteps() + { return dWorldGetAutoDisableSteps (_id); } + void setAutoDisableTime (dReal time) + { dWorldSetAutoDisableTime (_id,time); } + dReal getAutoDisableTime() + { return dWorldGetAutoDisableTime (_id); } + void setAutoDisableFlag (int do_auto_disable) + { dWorldSetAutoDisableFlag (_id,do_auto_disable); } + int getAutoDisableFlag() + { return dWorldGetAutoDisableFlag (_id); } + + void impulseToForce (dReal stepsize, dReal ix, dReal iy, dReal iz, + dVector3 force) + { dWorldImpulseToForce (_id,stepsize,ix,iy,iz,force); } +}; + + +class dBody { + dBodyID _id; + + // intentionally undefined, don't use these + dBody (const dBody &); + void operator= (const dBody &); + +public: + dBody() + { _id = 0; } + dBody (dWorldID world) + { _id = dBodyCreate (world); } + ~dBody() + { if (_id) dBodyDestroy (_id); } + + void create (dWorldID world) { + if (_id) dBodyDestroy (_id); + _id = dBodyCreate (world); + } + + dBodyID id() const + { return _id; } + operator dBodyID() const + { return _id; } + + void setData (void *data) + { dBodySetData (_id,data); } + void *getData() const + { return dBodyGetData (_id); } + + void setPosition (dReal x, dReal y, dReal z) + { dBodySetPosition (_id,x,y,z); } + void setRotation (const dMatrix3 R) + { dBodySetRotation (_id,R); } + void setQuaternion (const dQuaternion q) + { dBodySetQuaternion (_id,q); } + void setLinearVel (dReal x, dReal y, dReal z) + { dBodySetLinearVel (_id,x,y,z); } + void setAngularVel (dReal x, dReal y, dReal z) + { dBodySetAngularVel (_id,x,y,z); } + + const dReal * getPosition() const + { return dBodyGetPosition (_id); } + const dReal * getRotation() const + { return dBodyGetRotation (_id); } + const dReal * getQuaternion() const + { return dBodyGetQuaternion (_id); } + const dReal * getLinearVel() const + { return dBodyGetLinearVel (_id); } + const dReal * getAngularVel() const + { return dBodyGetAngularVel (_id); } + + void setMass (const dMass *mass) + { dBodySetMass (_id,mass); } + void getMass (dMass *mass) const + { dBodyGetMass (_id,mass); } + + void addForce (dReal fx, dReal fy, dReal fz) + { dBodyAddForce (_id, fx, fy, fz); } + void addTorque (dReal fx, dReal fy, dReal fz) + { dBodyAddTorque (_id, fx, fy, fz); } + void addRelForce (dReal fx, dReal fy, dReal fz) + { dBodyAddRelForce (_id, fx, fy, fz); } + void addRelTorque (dReal fx, dReal fy, dReal fz) + { dBodyAddRelTorque (_id, fx, fy, fz); } + void addForceAtPos (dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz) + { dBodyAddForceAtPos (_id, fx, fy, fz, px, py, pz); } + void addForceAtRelPos (dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz) + { dBodyAddForceAtRelPos (_id, fx, fy, fz, px, py, pz); } + void addRelForceAtPos (dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz) + { dBodyAddRelForceAtPos (_id, fx, fy, fz, px, py, pz); } + void addRelForceAtRelPos (dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz) + { dBodyAddRelForceAtRelPos (_id, fx, fy, fz, px, py, pz); } + + const dReal * getForce() const + { return dBodyGetForce(_id); } + const dReal * getTorque() const + { return dBodyGetTorque(_id); } + void setForce (dReal x, dReal y, dReal z) + { dBodySetForce (_id,x,y,z); } + void setTorque (dReal x, dReal y, dReal z) + { dBodySetTorque (_id,x,y,z); } + + void enable() + { dBodyEnable (_id); } + void disable() + { dBodyDisable (_id); } + int isEnabled() const + { return dBodyIsEnabled (_id); } + + void getRelPointPos (dReal px, dReal py, dReal pz, dVector3 result) const + { dBodyGetRelPointPos (_id, px, py, pz, result); } + void getRelPointVel (dReal px, dReal py, dReal pz, dVector3 result) const + { dBodyGetRelPointVel (_id, px, py, pz, result); } + void getPointVel (dReal px, dReal py, dReal pz, dVector3 result) const + { dBodyGetPointVel (_id,px,py,pz,result); } + void getPosRelPoint (dReal px, dReal py, dReal pz, dVector3 result) const + { dBodyGetPosRelPoint (_id,px,py,pz,result); } + void vectorToWorld (dReal px, dReal py, dReal pz, dVector3 result) const + { dBodyVectorToWorld (_id,px,py,pz,result); } + void vectorFromWorld (dReal px, dReal py, dReal pz, dVector3 result) const + { dBodyVectorFromWorld (_id,px,py,pz,result); } + + void setFiniteRotationMode (int mode) + { dBodySetFiniteRotationMode (_id, mode); } + void setFiniteRotationAxis (dReal x, dReal y, dReal z) + { dBodySetFiniteRotationAxis (_id, x, y, z); } + + int getFiniteRotationMode() const + { return dBodyGetFiniteRotationMode (_id); } + void getFiniteRotationAxis (dVector3 result) const + { dBodyGetFiniteRotationAxis (_id, result); } + + int getNumJoints() const + { return dBodyGetNumJoints (_id); } + dJointID getJoint (int index) const + { return dBodyGetJoint (_id, index); } + + void setGravityMode (int mode) + { dBodySetGravityMode (_id,mode); } + int getGravityMode() const + { return dBodyGetGravityMode (_id); } + + int isConnectedTo (dBodyID body) const + { return dAreConnected (_id, body); } + + void setAutoDisableLinearThreshold (dReal threshold) + { dBodySetAutoDisableLinearThreshold (_id,threshold); } + dReal getAutoDisableLinearThreshold() + { return dBodyGetAutoDisableLinearThreshold (_id); } + void setAutoDisableAngularThreshold (dReal threshold) + { dBodySetAutoDisableAngularThreshold (_id,threshold); } + dReal getAutoDisableAngularThreshold() + { return dBodyGetAutoDisableAngularThreshold (_id); } + void setAutoDisableSteps (int steps) + { dBodySetAutoDisableSteps (_id,steps); } + int getAutoDisableSteps() + { return dBodyGetAutoDisableSteps (_id); } + void setAutoDisableTime (dReal time) + { dBodySetAutoDisableTime (_id,time); } + dReal getAutoDisableTime() + { return dBodyGetAutoDisableTime (_id); } + void setAutoDisableFlag (int do_auto_disable) + { dBodySetAutoDisableFlag (_id,do_auto_disable); } + int getAutoDisableFlag() + { return dBodyGetAutoDisableFlag (_id); } +}; + + +class dJointGroup { + dJointGroupID _id; + + // intentionally undefined, don't use these + dJointGroup (const dJointGroup &); + void operator= (const dJointGroup &); + +public: + dJointGroup (int dummy_arg=0) + { _id = dJointGroupCreate (0); } + ~dJointGroup() + { dJointGroupDestroy (_id); } + void create (int dummy_arg=0) { + if (_id) dJointGroupDestroy (_id); + _id = dJointGroupCreate (0); + } + + dJointGroupID id() const + { return _id; } + operator dJointGroupID() const + { return _id; } + + void empty() + { dJointGroupEmpty (_id); } +}; + + +class dJoint { +private: + // intentionally undefined, don't use these + dJoint (const dJoint &) ; + void operator= (const dJoint &); + +protected: + dJointID _id; + +public: + dJoint() + { _id = 0; } + ~dJoint() + { if (_id) dJointDestroy (_id); } + + dJointID id() const + { return _id; } + operator dJointID() const + { return _id; } + + void attach (dBodyID body1, dBodyID body2) + { dJointAttach (_id, body1, body2); } + + void setData (void *data) + { dJointSetData (_id, data); } + void *getData() const + { return dJointGetData (_id); } + + int getType() const + { return dJointGetType (_id); } + + dBodyID getBody (int index) const + { return dJointGetBody (_id, index); } + + void setFeedback(dJointFeedback *fb) + { dJointSetFeedback(_id, fb); } + dJointFeedback *getFeedback() const + { return dJointGetFeedback(_id); } +}; + + +class dBallJoint : public dJoint { +private: + // intentionally undefined, don't use these + dBallJoint (const dBallJoint &); + void operator= (const dBallJoint &); + +public: + dBallJoint() { } + dBallJoint (dWorldID world, dJointGroupID group=0) + { _id = dJointCreateBall (world, group); } + + void create (dWorldID world, dJointGroupID group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateBall (world, group); + } + + void setAnchor (dReal x, dReal y, dReal z) + { dJointSetBallAnchor (_id, x, y, z); } + void getAnchor (dVector3 result) const + { dJointGetBallAnchor (_id, result); } + void getAnchor2 (dVector3 result) const + { dJointGetBallAnchor2 (_id, result); } +} ; + + +class dHingeJoint : public dJoint { + // intentionally undefined, don't use these + dHingeJoint (const dHingeJoint &); + void operator = (const dHingeJoint &); + +public: + dHingeJoint() { } + dHingeJoint (dWorldID world, dJointGroupID group=0) + { _id = dJointCreateHinge (world, group); } + + void create (dWorldID world, dJointGroupID group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateHinge (world, group); + } + + void setAnchor (dReal x, dReal y, dReal z) + { dJointSetHingeAnchor (_id, x, y, z); } + void getAnchor (dVector3 result) const + { dJointGetHingeAnchor (_id, result); } + void getAnchor2 (dVector3 result) const + { dJointGetHingeAnchor2 (_id, result); } + + void setAxis (dReal x, dReal y, dReal z) + { dJointSetHingeAxis (_id, x, y, z); } + void getAxis (dVector3 result) const + { dJointGetHingeAxis (_id, result); } + + dReal getAngle() const + { return dJointGetHingeAngle (_id); } + dReal getAngleRate() const + { return dJointGetHingeAngleRate (_id); } + + void setParam (int parameter, dReal value) + { dJointSetHingeParam (_id, parameter, value); } + dReal getParam (int parameter) const + { return dJointGetHingeParam (_id, parameter); } + + void addTorque (dReal torque) + { dJointAddHingeTorque(_id, torque); } +}; + + +class dSliderJoint : public dJoint { + // intentionally undefined, don't use these + dSliderJoint (const dSliderJoint &); + void operator = (const dSliderJoint &); + +public: + dSliderJoint() { } + dSliderJoint (dWorldID world, dJointGroupID group=0) + { _id = dJointCreateSlider (world, group); } + + void create (dWorldID world, dJointGroupID group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateSlider (world, group); + } + + void setAxis (dReal x, dReal y, dReal z) + { dJointSetSliderAxis (_id, x, y, z); } + void getAxis (dVector3 result) const + { dJointGetSliderAxis (_id, result); } + + dReal getPosition() const + { return dJointGetSliderPosition (_id); } + dReal getPositionRate() const + { return dJointGetSliderPositionRate (_id); } + + void setParam (int parameter, dReal value) + { dJointSetSliderParam (_id, parameter, value); } + dReal getParam (int parameter) const + { return dJointGetSliderParam (_id, parameter); } + + void addForce (dReal force) + { dJointAddSliderForce(_id, force); } +}; + + +class dUniversalJoint : public dJoint { + // intentionally undefined, don't use these + dUniversalJoint (const dUniversalJoint &); + void operator = (const dUniversalJoint &); + +public: + dUniversalJoint() { } + dUniversalJoint (dWorldID world, dJointGroupID group=0) + { _id = dJointCreateUniversal (world, group); } + + void create (dWorldID world, dJointGroupID group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateUniversal (world, group); + } + + void setAnchor (dReal x, dReal y, dReal z) + { dJointSetUniversalAnchor (_id, x, y, z); } + void setAxis1 (dReal x, dReal y, dReal z) + { dJointSetUniversalAxis1 (_id, x, y, z); } + void setAxis2 (dReal x, dReal y, dReal z) + { dJointSetUniversalAxis2 (_id, x, y, z); } + void setParam (int parameter, dReal value) + { dJointSetUniversalParam (_id, parameter, value); } + + void getAnchor (dVector3 result) const + { dJointGetUniversalAnchor (_id, result); } + void getAnchor2 (dVector3 result) const + { dJointGetUniversalAnchor2 (_id, result); } + void getAxis1 (dVector3 result) const + { dJointGetUniversalAxis1 (_id, result); } + void getAxis2 (dVector3 result) const + { dJointGetUniversalAxis2 (_id, result); } + dReal getParam (int parameter) const + { return dJointGetUniversalParam (_id, parameter); } + dReal getAngle1() const + { return dJointGetUniversalAngle1 (_id); } + dReal getAngle1Rate() const + { return dJointGetUniversalAngle1Rate (_id); } + dReal getAngle2() const + { return dJointGetUniversalAngle2 (_id); } + dReal getAngle2Rate() const + { return dJointGetUniversalAngle2Rate (_id); } + + void addTorques (dReal torque1, dReal torque2) + { dJointAddUniversalTorques(_id, torque1, torque2); } +}; + + +class dHinge2Joint : public dJoint { + // intentionally undefined, don't use these + dHinge2Joint (const dHinge2Joint &); + void operator = (const dHinge2Joint &); + +public: + dHinge2Joint() { } + dHinge2Joint (dWorldID world, dJointGroupID group=0) + { _id = dJointCreateHinge2 (world, group); } + + void create (dWorldID world, dJointGroupID group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateHinge2 (world, group); + } + + void setAnchor (dReal x, dReal y, dReal z) + { dJointSetHinge2Anchor (_id, x, y, z); } + void setAxis1 (dReal x, dReal y, dReal z) + { dJointSetHinge2Axis1 (_id, x, y, z); } + void setAxis2 (dReal x, dReal y, dReal z) + { dJointSetHinge2Axis2 (_id, x, y, z); } + + void getAnchor (dVector3 result) const + { dJointGetHinge2Anchor (_id, result); } + void getAnchor2 (dVector3 result) const + { dJointGetHinge2Anchor2 (_id, result); } + void getAxis1 (dVector3 result) const + { dJointGetHinge2Axis1 (_id, result); } + void getAxis2 (dVector3 result) const + { dJointGetHinge2Axis2 (_id, result); } + + dReal getAngle1() const + { return dJointGetHinge2Angle1 (_id); } + dReal getAngle1Rate() const + { return dJointGetHinge2Angle1Rate (_id); } + dReal getAngle2Rate() const + { return dJointGetHinge2Angle2Rate (_id); } + + void setParam (int parameter, dReal value) + { dJointSetHinge2Param (_id, parameter, value); } + dReal getParam (int parameter) const + { return dJointGetHinge2Param (_id, parameter); } + + void addTorques(dReal torque1, dReal torque2) + { dJointAddHinge2Torques(_id, torque1, torque2); } +}; + + +class dFixedJoint : public dJoint { + // intentionally undefined, don't use these + dFixedJoint (const dFixedJoint &); + void operator = (const dFixedJoint &); + +public: + dFixedJoint() { } + dFixedJoint (dWorldID world, dJointGroupID group=0) + { _id = dJointCreateFixed (world, group); } + + void create (dWorldID world, dJointGroupID group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateFixed (world, group); + } + + void set() + { dJointSetFixed (_id); } +}; + + +class dContactJoint : public dJoint { + // intentionally undefined, don't use these + dContactJoint (const dContactJoint &); + void operator = (const dContactJoint &); + +public: + dContactJoint() { } + dContactJoint (dWorldID world, dJointGroupID group, dContact *contact) + { _id = dJointCreateContact (world, group, contact); } + + void create (dWorldID world, dJointGroupID group, dContact *contact) { + if (_id) dJointDestroy (_id); + _id = dJointCreateContact (world, group, contact); + } +}; + + +class dNullJoint : public dJoint { + // intentionally undefined, don't use these + dNullJoint (const dNullJoint &); + void operator = (const dNullJoint &); + +public: + dNullJoint() { } + dNullJoint (dWorldID world, dJointGroupID group=0) + { _id = dJointCreateNull (world, group); } + + void create (dWorldID world, dJointGroupID group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateNull (world, group); + } +}; + + +class dAMotorJoint : public dJoint { + // intentionally undefined, don't use these + dAMotorJoint (const dAMotorJoint &); + void operator = (const dAMotorJoint &); + +public: + dAMotorJoint() { } + dAMotorJoint (dWorldID world, dJointGroupID group=0) + { _id = dJointCreateAMotor (world, group); } + + void create (dWorldID world, dJointGroupID group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateAMotor (world, group); + } + + void setMode (int mode) + { dJointSetAMotorMode (_id, mode); } + int getMode() const + { return dJointGetAMotorMode (_id); } + + void setNumAxes (int num) + { dJointSetAMotorNumAxes (_id, num); } + int getNumAxes() const + { return dJointGetAMotorNumAxes (_id); } + + void setAxis (int anum, int rel, dReal x, dReal y, dReal z) + { dJointSetAMotorAxis (_id, anum, rel, x, y, z); } + void getAxis (int anum, dVector3 result) const + { dJointGetAMotorAxis (_id, anum, result); } + int getAxisRel (int anum) const + { return dJointGetAMotorAxisRel (_id, anum); } + + void setAngle (int anum, dReal angle) + { dJointSetAMotorAngle (_id, anum, angle); } + dReal getAngle (int anum) const + { return dJointGetAMotorAngle (_id, anum); } + dReal getAngleRate (int anum) + { return dJointGetAMotorAngleRate (_id,anum); } + + void setParam (int parameter, dReal value) + { dJointSetAMotorParam (_id, parameter, value); } + dReal getParam (int parameter) const + { return dJointGetAMotorParam (_id, parameter); } + + void addTorques(dReal torque1, dReal torque2, dReal torque3) + { dJointAddAMotorTorques(_id, torque1, torque2, torque3); } +}; + + +class dLMotorJoint : public dJoint { + // intentionally undefined, don't use these + dLMotorJoint (const dLMotorJoint &); + void operator = (const dLMotorJoint &); + +public: + dLMotorJoint() { } + dLMotorJoint (dWorldID world, dJointGroupID group=0) + { _id = dJointCreateLMotor (world, group); } + + void create (dWorldID world, dJointGroupID group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateLMotor (world, group); + } + + void setNumAxes (int num) + { dJointSetLMotorNumAxes (_id, num); } + int getNumAxes() const + { return dJointGetLMotorNumAxes (_id); } + + void setAxis (int anum, int rel, dReal x, dReal y, dReal z) + { dJointSetLMotorAxis (_id, anum, rel, x, y, z); } + void getAxis (int anum, dVector3 result) const + { dJointGetLMotorAxis (_id, anum, result); } + + void setParam (int parameter, dReal value) + { dJointSetLMotorParam (_id, parameter, value); } + dReal getParam (int parameter) const + { return dJointGetLMotorParam (_id, parameter); } +}; + + + +#endif +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/odecpp_collision.h b/misc/builddeps/emscripten/ode/include/ode/odecpp_collision.h new file mode 100644 index 00000000..16ca78f7 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/odecpp_collision.h @@ -0,0 +1,346 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +/* C++ interface for new collision API */ + + +#ifndef _ODE_ODECPP_COLLISION_H_ +#define _ODE_ODECPP_COLLISION_H_ +#ifdef __cplusplus + +#include + + +class dGeom { + // intentionally undefined, don't use these + dGeom (dGeom &); + void operator= (dGeom &); + +protected: + dGeomID _id; + +public: + dGeom() + { _id = 0; } + ~dGeom() + { if (_id) dGeomDestroy (_id); } + + dGeomID id() const + { return _id; } + operator dGeomID() const + { return _id; } + + void destroy() { + if (_id) dGeomDestroy (_id); + _id = 0; + } + + int getClass() const + { return dGeomGetClass (_id); } + + dSpaceID getSpace() const + { return dGeomGetSpace (_id); } + + void setData (void *data) + { dGeomSetData (_id,data); } + void *getData() const + { return dGeomGetData (_id); } + + void setBody (dBodyID b) + { dGeomSetBody (_id,b); } + dBodyID getBody() const + { return dGeomGetBody (_id); } + + void setPosition (dReal x, dReal y, dReal z) + { dGeomSetPosition (_id,x,y,z); } + const dReal * getPosition() const + { return dGeomGetPosition (_id); } + + void setRotation (const dMatrix3 R) + { dGeomSetRotation (_id,R); } + const dReal * getRotation() const + { return dGeomGetRotation (_id); } + + void setQuaternion (const dQuaternion quat) + { dGeomSetQuaternion (_id,quat); } + void getQuaternion (dQuaternion quat) const + { dGeomGetQuaternion (_id,quat); } + + void getAABB (dReal aabb[6]) const + { dGeomGetAABB (_id, aabb); } + + int isSpace() + { return dGeomIsSpace (_id); } + + void setCategoryBits (unsigned long bits) + { dGeomSetCategoryBits (_id, bits); } + void setCollideBits (unsigned long bits) + { dGeomSetCollideBits (_id, bits); } + unsigned long getCategoryBits() + { return dGeomGetCategoryBits (_id); } + unsigned long getCollideBits() + { return dGeomGetCollideBits (_id); } + + void enable() + { dGeomEnable (_id); } + void disable() + { dGeomDisable (_id); } + int isEnabled() + { return dGeomIsEnabled (_id); } + + void collide2 (dGeomID g, void *data, dNearCallback *callback) + { dSpaceCollide2 (_id,g,data,callback); } +}; + + +class dSpace : public dGeom { + // intentionally undefined, don't use these + dSpace (dSpace &); + void operator= (dSpace &); + +protected: + // the default constructor is protected so that you + // can't instance this class. you must instance one + // of its subclasses instead. + dSpace () { _id = 0; } + +public: + dSpaceID id() const + { return (dSpaceID) _id; } + operator dSpaceID() const + { return (dSpaceID) _id; } + + void setCleanup (int mode) + { dSpaceSetCleanup (id(), mode); } + int getCleanup() + { return dSpaceGetCleanup (id()); } + + void add (dGeomID x) + { dSpaceAdd (id(), x); } + void remove (dGeomID x) + { dSpaceRemove (id(), x); } + int query (dGeomID x) + { return dSpaceQuery (id(),x); } + + int getNumGeoms() + { return dSpaceGetNumGeoms (id()); } + dGeomID getGeom (int i) + { return dSpaceGetGeom (id(),i); } + + void collide (void *data, dNearCallback *callback) + { dSpaceCollide (id(),data,callback); } +}; + + +class dSimpleSpace : public dSpace { + // intentionally undefined, don't use these + dSimpleSpace (dSimpleSpace &); + void operator= (dSimpleSpace &); + +public: + dSimpleSpace (dSpaceID space) + { _id = (dGeomID) dSimpleSpaceCreate (space); } +}; + + +class dHashSpace : public dSpace { + // intentionally undefined, don't use these + dHashSpace (dHashSpace &); + void operator= (dHashSpace &); + +public: + dHashSpace (dSpaceID space) + { _id = (dGeomID) dHashSpaceCreate (space); } + void setLevels (int minlevel, int maxlevel) + { dHashSpaceSetLevels (id(),minlevel,maxlevel); } +}; + + +class dQuadTreeSpace : public dSpace { + // intentionally undefined, don't use these + dQuadTreeSpace (dQuadTreeSpace &); + void operator= (dQuadTreeSpace &); + +public: + dQuadTreeSpace (dSpaceID space, dVector3 center, dVector3 extents, int depth) + { _id = (dGeomID) dQuadTreeSpaceCreate (space,center,extents,depth); } +}; + + +class dSphere : public dGeom { + // intentionally undefined, don't use these + dSphere (dSphere &); + void operator= (dSphere &); + +public: + dSphere () { } + dSphere (dSpaceID space, dReal radius) + { _id = dCreateSphere (space, radius); } + + void create (dSpaceID space, dReal radius) { + if (_id) dGeomDestroy (_id); + _id = dCreateSphere (space, radius); + } + + void setRadius (dReal radius) + { dGeomSphereSetRadius (_id, radius); } + dReal getRadius() const + { return dGeomSphereGetRadius (_id); } +}; + + +class dBox : public dGeom { + // intentionally undefined, don't use these + dBox (dBox &); + void operator= (dBox &); + +public: + dBox () { } + dBox (dSpaceID space, dReal lx, dReal ly, dReal lz) + { _id = dCreateBox (space,lx,ly,lz); } + + void create (dSpaceID space, dReal lx, dReal ly, dReal lz) { + if (_id) dGeomDestroy (_id); + _id = dCreateBox (space,lx,ly,lz); + } + + void setLengths (dReal lx, dReal ly, dReal lz) + { dGeomBoxSetLengths (_id, lx, ly, lz); } + void getLengths (dVector3 result) const + { dGeomBoxGetLengths (_id,result); } +}; + + +class dPlane : public dGeom { + // intentionally undefined, don't use these + dPlane (dPlane &); + void operator= (dPlane &); + +public: + dPlane() { } + dPlane (dSpaceID space, dReal a, dReal b, dReal c, dReal d) + { _id = dCreatePlane (space,a,b,c,d); } + + void create (dSpaceID space, dReal a, dReal b, dReal c, dReal d) { + if (_id) dGeomDestroy (_id); + _id = dCreatePlane (space,a,b,c,d); + } + + void setParams (dReal a, dReal b, dReal c, dReal d) + { dGeomPlaneSetParams (_id, a, b, c, d); } + void getParams (dVector4 result) const + { dGeomPlaneGetParams (_id,result); } +}; + + +class dCapsule : public dGeom { + // intentionally undefined, don't use these + dCapsule (dCapsule &); + void operator= (dCapsule &); + +public: + dCapsule() { } + dCapsule (dSpaceID space, dReal radius, dReal length) + { _id = dCreateCapsule (space,radius,length); } + + void create (dSpaceID space, dReal radius, dReal length) { + if (_id) dGeomDestroy (_id); + _id = dCreateCapsule (space,radius,length); + } + + void setParams (dReal radius, dReal length) + { dGeomCapsuleSetParams (_id, radius, length); } + void getParams (dReal *radius, dReal *length) const + { dGeomCapsuleGetParams (_id,radius,length); } +}; + + +class dRay : public dGeom { + // intentionally undefined, don't use these + dRay (dRay &); + void operator= (dRay &); + +public: + dRay() { } + dRay (dSpaceID space, dReal length) + { _id = dCreateRay (space,length); } + + void create (dSpaceID space, dReal length) { + if (_id) dGeomDestroy (_id); + _id = dCreateRay (space,length); + } + + void setLength (dReal length) + { dGeomRaySetLength (_id, length); } + dReal getLength() + { return dGeomRayGetLength (_id); } + + void set (dReal px, dReal py, dReal pz, dReal dx, dReal dy, dReal dz) + { dGeomRaySet (_id, px, py, pz, dx, dy, dz); } + void get (dVector3 start, dVector3 dir) + { dGeomRayGet (_id, start, dir); } + + void setParams (int firstContact, int backfaceCull) + { dGeomRaySetParams (_id, firstContact, backfaceCull); } + void getParams (int *firstContact, int *backfaceCull) + { dGeomRayGetParams (_id, firstContact, backfaceCull); } + void setClosestHit (int closestHit) + { dGeomRaySetClosestHit (_id, closestHit); } + int getClosestHit() + { return dGeomRayGetClosestHit (_id); } +}; + + +class dGeomTransform : public dGeom { + // intentionally undefined, don't use these + dGeomTransform (dGeomTransform &); + void operator= (dGeomTransform &); + +public: + dGeomTransform() { } + dGeomTransform (dSpaceID space) + { _id = dCreateGeomTransform (space); } + + void create (dSpaceID space=0) { + if (_id) dGeomDestroy (_id); + _id = dCreateGeomTransform (space); + } + + void setGeom (dGeomID geom) + { dGeomTransformSetGeom (_id, geom); } + dGeomID getGeom() const + { return dGeomTransformGetGeom (_id); } + + void setCleanup (int mode) + { dGeomTransformSetCleanup (_id,mode); } + int getCleanup () + { return dGeomTransformGetCleanup (_id); } + + void setInfo (int mode) + { dGeomTransformSetInfo (_id,mode); } + int getInfo() + { return dGeomTransformGetInfo (_id); } +}; + + +#endif +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/odecpp_old.h b/misc/builddeps/emscripten/ode/include/ode/odecpp_old.h new file mode 100644 index 00000000..49e7d7f3 --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/odecpp_old.h @@ -0,0 +1,316 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +/* this is the old C++ interface, the new C++ interface is not quite + * compatible with this. but this file is kept around in case you were + * using the old interface. + */ + +#ifndef _ODE_ODECPP_H_ +#define _ODE_ODECPP_H_ +#ifdef __cplusplus + +#include + + +class dWorld { + dWorldID _id; + + dWorld (dWorld &) { dDebug (0,"bad"); } + void operator= (dWorld &) { dDebug (0,"bad"); } + +public: + dWorld() + { _id = dWorldCreate(); } + ~dWorld() + { dWorldDestroy (_id); } + dWorldID id() + { return _id; } + + void setGravity (dReal x, dReal y, dReal z) + { dWorldSetGravity (_id,x,y,z); } + void getGravity (dVector3 g) + { dWorldGetGravity (_id,g); } + void step (dReal stepsize) + { dWorldStep (_id,stepsize); } +}; + + +class dBody { + dBodyID _id; + + dBody (dBody &) { dDebug (0,"bad"); } + void operator= (dBody &) { dDebug (0,"bad"); } + +public: + dBody() + { _id = 0; } + dBody (dWorld &world) + { _id = dBodyCreate (world.id()); } + ~dBody() + { dBodyDestroy (_id); } + void create (dWorld &world) + { if (_id) dBodyDestroy (_id); _id = dBodyCreate (world.id()); } + dBodyID id() + { return _id; } + + void setData (void *data) + { dBodySetData (_id,data); } + void *getData() + { return dBodyGetData (_id); } + + void setPosition (dReal x, dReal y, dReal z) + { dBodySetPosition (_id,x,y,z); } + void setRotation (const dMatrix3 R) + { dBodySetRotation (_id,R); } + void setQuaternion (const dQuaternion q) + { dBodySetQuaternion (_id,q); } + void setLinearVel (dReal x, dReal y, dReal z) + { dBodySetLinearVel (_id,x,y,z); } + void setAngularVel (dReal x, dReal y, dReal z) + { dBodySetAngularVel (_id,x,y,z); } + + const dReal * getPosition() + { return dBodyGetPosition (_id); } + const dReal * getRotation() + { return dBodyGetRotation (_id); } + const dReal * getQuaternion() + { return dBodyGetQuaternion (_id); } + const dReal * getLinearVel() + { return dBodyGetLinearVel (_id); } + const dReal * getAngularVel() + { return dBodyGetAngularVel (_id); } + + void setMass (const dMass *mass) + { dBodySetMass (_id,mass); } + void getMass (dMass *mass) + { dBodyGetMass (_id,mass); } + + void addForce (dReal fx, dReal fy, dReal fz) + { dBodyAddForce (_id, fx, fy, fz); } + void addTorque (dReal fx, dReal fy, dReal fz) + { dBodyAddTorque (_id, fx, fy, fz); } + void addRelForce (dReal fx, dReal fy, dReal fz) + { dBodyAddRelForce (_id, fx, fy, fz); } + void addRelTorque (dReal fx, dReal fy, dReal fz) + { dBodyAddRelTorque (_id, fx, fy, fz); } + void addForceAtPos (dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz) + { dBodyAddForceAtPos (_id, fx, fy, fz, px, py, pz); } + void addRelForceAtPos (dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz) + { dBodyAddRelForceAtPos (_id, fx, fy, fz, px, py, pz); } + void addRelForceAtRelPos (dReal fx, dReal fy, dReal fz, + dReal px, dReal py, dReal pz) + { dBodyAddRelForceAtRelPos (_id, fx, fy, fz, px, py, pz); } + + void getRelPointPos (dReal px, dReal py, dReal pz, dVector3 result) + { dBodyGetRelPointPos (_id, px, py, pz, result); } + void getRelPointVel (dReal px, dReal py, dReal pz, dVector3 result) + { dBodyGetRelPointVel (_id, px, py, pz, result); } + + int isConnectedTo (const dBody &b) + { return dAreConnected (_id,b._id); } +}; + + +class dJointGroup { + dJointGroupID _id; + + dJointGroup (dJointGroup &) { dDebug (0,"bad"); } + void operator= (dJointGroup &) { dDebug (0,"bad"); } + +public: + dJointGroup() + { _id = 0; } + dJointGroup (int max_size) + { _id = dJointGroupCreate (max_size); } + ~dJointGroup() + { dJointGroupDestroy (_id); } + void create (int max_size) + { if (_id) dJointGroupDestroy (_id); _id = dJointGroupCreate (max_size); } + dJointGroupID id() + { return _id; } + + void empty() + { dJointGroupEmpty (_id); } +}; + + +class dJoint { + dJointID _id; + + dJoint (dJoint &) { dDebug (0,"bad"); } + void operator= (dJoint &) { dDebug (0,"bad"); } + +public: + dJoint() + { _id = 0; } + ~dJoint() + { dJointDestroy (_id); } + dJointID id() + { return _id; } + + void createBall (dWorld &world, dJointGroup *group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateBall (world.id(), group ? group->id() : 0); + } + void createHinge (dWorld &world, dJointGroup *group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateHinge (world.id(), group ? group->id() : 0); + } + void createSlider (dWorld &world, dJointGroup *group=0) { + if (_id) dJointDestroy (_id); + _id = dJointCreateSlider (world.id(), group ? group->id() : 0); + } + void createContact (dWorld &world, dJointGroup *group, dContact *contact) { + if (_id) dJointDestroy (_id); + _id = dJointCreateContact (world.id(), group ? group->id() : 0, contact); + } + + void attach (dBody &body1, dBody &body2) + { dJointAttach (_id, body1.id(), body2.id()); } + + void setBallAnchor (dReal x, dReal y, dReal z) + { dJointSetBallAnchor (_id, x, y, z); } + void setHingeAnchor (dReal x, dReal y, dReal z) + { dJointSetHingeAnchor (_id, x, y, z); } + + void setHingeAxis (dReal x, dReal y, dReal z) + { dJointSetHingeAxis (_id, x, y, z); } + void setSliderAxis (dReal x, dReal y, dReal z) + { dJointSetSliderAxis (_id, x, y, z); } + + void getBallAnchor (dVector3 result) + { dJointGetBallAnchor (_id, result); } + void getHingeAnchor (dVector3 result) + { dJointGetHingeAnchor (_id, result); } + + void getHingeAxis (dVector3 result) + { dJointGetHingeAxis (_id, result); } + void getSliderAxis (dVector3 result) + { dJointGetSliderAxis (_id, result); } +}; + + +class dSpace { + dSpaceID _id; + + dSpace (dSpace &) { dDebug (0,"bad"); } + void operator= (dSpace &) { dDebug (0,"bad"); } + +public: + dSpace () + { _id = dHashSpaceCreate(); } + ~dSpace() + { dSpaceDestroy (_id); } + dSpaceID id() + { return _id; } + void collide (void *data, dNearCallback *callback) + { dSpaceCollide (_id,data,callback); } +}; + + +class dGeom { + dGeomID _id; + + dGeom (dGeom &) { dDebug (0,"bad"); } + void operator= (dGeom &) { dDebug (0,"bad"); } + +public: + dGeom() + { _id = 0; } + ~dGeom() + { dGeomDestroy (_id); } + dGeomID id() + { return _id; } + + void createSphere (dSpace &space, dReal radius) { + if (_id) dGeomDestroy (_id); + _id = dCreateSphere (space.id(),radius); + } + + void createBox (dSpace &space, dReal lx, dReal ly, dReal lz) { + if (_id) dGeomDestroy (_id); + _id = dCreateBox (space.id(),lx,ly,lz); + } + + void createPlane (dSpace &space, dReal a, dReal b, dReal c, dReal d) { + if (_id) dGeomDestroy (_id); + _id = dCreatePlane (space.id(),a,b,c,d); + } + + void createCCylinder (dSpace &space, dReal radius, dReal length) { + if (_id) dGeomDestroy (_id); + _id = dCreateCCylinder (space.id(),radius,length); + } + + void destroy() { + if (_id) dGeomDestroy (_id); + _id = 0; + } + + int getClass() + { return dGeomGetClass (_id); } + + dReal sphereGetRadius() + { return dGeomSphereGetRadius (_id); } + + void boxGetLengths (dVector3 result) + { dGeomBoxGetLengths (_id,result); } + + void planeGetParams (dVector4 result) + { dGeomPlaneGetParams (_id,result); } + + void CCylinderGetParams (dReal *radius, dReal *length) + { dGeomCCylinderGetParams (_id,radius,length); } + + void setData (void *data) + { dGeomSetData (_id,data); } + + void *getData() + { return dGeomGetData (_id); } + + void setBody (dBody &b) + { dGeomSetBody (_id,b.id()); } + void setBody (dBodyID b) + { dGeomSetBody (_id,b); } + + dBodyID getBody() + { return dGeomGetBody (_id); } + + void setPosition (dReal x, dReal y, dReal z) + { dGeomSetPosition (_id,x,y,z); } + + void setRotation (const dMatrix3 R) + { dGeomSetRotation (_id,R); } + + const dReal * getPosition() + { return dGeomGetPosition (_id); } + + const dReal * getRotation() + { return dGeomGetRotation (_id); } +}; + + +#endif +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/odemath.h b/misc/builddeps/emscripten/ode/include/ode/odemath.h new file mode 100644 index 00000000..1db0604d --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/odemath.h @@ -0,0 +1,308 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_ODEMATH_H_ +#define _ODE_ODEMATH_H_ + +#include + +#ifdef __GNUC__ +#define PURE_INLINE extern inline +#else +#define PURE_INLINE inline +#endif + +/* + * macro to access elements i,j in an NxM matrix A, independent of the + * matrix storage convention. + */ +#define dACCESS33(A,i,j) ((A)[(i)*4+(j)]) + +/* + * Macro to test for valid floating point values + */ +#define dVALIDVEC3(v) (!(dIsNan(v[0]) || dIsNan(v[1]) || dIsNan(v[2]))) +#define dVALIDVEC4(v) (!(dIsNan(v[0]) || dIsNan(v[2]) || dIsNan(v[2]) || dIsNan(v[3]))) +#define dVALIDMAT3(m) (!(dIsNan(m[0]) || dIsNan(m[1]) || dIsNan(m[2]) || dIsNan(m[3]) || dIsNan(m[4]) || dIsNan(m[5]) || dIsNan(m[6]) || dIsNan(m[7]) || dIsNan(m[8]) || dIsNan(m[9]) || dIsNan(m[10]) || dIsNan(m[11]))) +#define dVALIDMAT4(m) (!(dIsNan(m[0]) || dIsNan(m[1]) || dIsNan(m[2]) || dIsNan(m[3]) || dIsNan(m[4]) || dIsNan(m[5]) || dIsNan(m[6]) || dIsNan(m[7]) || dIsNan(m[8]) || dIsNan(m[9]) || dIsNan(m[10]) || dIsNan(m[11]) || dIsNan(m[12]) || dIsNan(m[13]) || dIsNan(m[14]) || dIsNan(m[15]) )) + + + +/* + * General purpose vector operations with other vectors or constants. + */ + +#define dOP(a,op,b,c) \ + (a)[0] = ((b)[0]) op ((c)[0]); \ + (a)[1] = ((b)[1]) op ((c)[1]); \ + (a)[2] = ((b)[2]) op ((c)[2]); +#define dOPC(a,op,b,c) \ + (a)[0] = ((b)[0]) op (c); \ + (a)[1] = ((b)[1]) op (c); \ + (a)[2] = ((b)[2]) op (c); +#define dOPE(a,op,b) \ + (a)[0] op ((b)[0]); \ + (a)[1] op ((b)[1]); \ + (a)[2] op ((b)[2]); +#define dOPEC(a,op,c) \ + (a)[0] op (c); \ + (a)[1] op (c); \ + (a)[2] op (c); + + +/* + * Length, and squared length helpers. dLENGTH returns the length of a dVector3. + * dLENGTHSQUARED return the squared length of a dVector3. + */ + +#define dLENGTHSQUARED(a) (((a)[0])*((a)[0]) + ((a)[1])*((a)[1]) + ((a)[2])*((a)[2])) + +#ifdef __cplusplus + +PURE_INLINE dReal dLENGTH (const dReal *a) { return dSqrt(dLENGTHSQUARED(a)); } + +#else + +#define dLENGTH(a) ( dSqrt( ((a)[0])*((a)[0]) + ((a)[1])*((a)[1]) + ((a)[2])*((a)[2]) ) ) + +#endif /* __cplusplus */ + + + + + +/* + * 3-way dot product. dDOTpq means that elements of `a' and `b' are spaced + * p and q indexes apart respectively. dDOT() means dDOT11. + * in C++ we could use function templates to get all the versions of these + * functions - but on some compilers this will result in sub-optimal code. + */ + +#define dDOTpq(a,b,p,q) ((a)[0]*(b)[0] + (a)[p]*(b)[q] + (a)[2*(p)]*(b)[2*(q)]) + +#ifdef __cplusplus + +PURE_INLINE dReal dDOT (const dReal *a, const dReal *b) { return dDOTpq(a,b,1,1); } +PURE_INLINE dReal dDOT13 (const dReal *a, const dReal *b) { return dDOTpq(a,b,1,3); } +PURE_INLINE dReal dDOT31 (const dReal *a, const dReal *b) { return dDOTpq(a,b,3,1); } +PURE_INLINE dReal dDOT33 (const dReal *a, const dReal *b) { return dDOTpq(a,b,3,3); } +PURE_INLINE dReal dDOT14 (const dReal *a, const dReal *b) { return dDOTpq(a,b,1,4); } +PURE_INLINE dReal dDOT41 (const dReal *a, const dReal *b) { return dDOTpq(a,b,4,1); } +PURE_INLINE dReal dDOT44 (const dReal *a, const dReal *b) { return dDOTpq(a,b,4,4); } + +#else + +#define dDOT(a,b) dDOTpq(a,b,1,1) +#define dDOT13(a,b) dDOTpq(a,b,1,3) +#define dDOT31(a,b) dDOTpq(a,b,3,1) +#define dDOT33(a,b) dDOTpq(a,b,3,3) +#define dDOT14(a,b) dDOTpq(a,b,1,4) +#define dDOT41(a,b) dDOTpq(a,b,4,1) +#define dDOT44(a,b) dDOTpq(a,b,4,4) + +#endif /* __cplusplus */ + + +/* + * cross product, set a = b x c. dCROSSpqr means that elements of `a', `b' + * and `c' are spaced p, q and r indexes apart respectively. + * dCROSS() means dCROSS111. `op' is normally `=', but you can set it to + * +=, -= etc to get other effects. + */ + +#define dCROSS(a,op,b,c) \ +do { \ + (a)[0] op ((b)[1]*(c)[2] - (b)[2]*(c)[1]); \ + (a)[1] op ((b)[2]*(c)[0] - (b)[0]*(c)[2]); \ + (a)[2] op ((b)[0]*(c)[1] - (b)[1]*(c)[0]); \ +} while(0) +#define dCROSSpqr(a,op,b,c,p,q,r) \ +do { \ + (a)[ 0] op ((b)[ q]*(c)[2*r] - (b)[2*q]*(c)[ r]); \ + (a)[ p] op ((b)[2*q]*(c)[ 0] - (b)[ 0]*(c)[2*r]); \ + (a)[2*p] op ((b)[ 0]*(c)[ r] - (b)[ q]*(c)[ 0]); \ +} while(0) +#define dCROSS114(a,op,b,c) dCROSSpqr(a,op,b,c,1,1,4) +#define dCROSS141(a,op,b,c) dCROSSpqr(a,op,b,c,1,4,1) +#define dCROSS144(a,op,b,c) dCROSSpqr(a,op,b,c,1,4,4) +#define dCROSS411(a,op,b,c) dCROSSpqr(a,op,b,c,4,1,1) +#define dCROSS414(a,op,b,c) dCROSSpqr(a,op,b,c,4,1,4) +#define dCROSS441(a,op,b,c) dCROSSpqr(a,op,b,c,4,4,1) +#define dCROSS444(a,op,b,c) dCROSSpqr(a,op,b,c,4,4,4) + + +/* + * set a 3x3 submatrix of A to a matrix such that submatrix(A)*b = a x b. + * A is stored by rows, and has `skip' elements per row. the matrix is + * assumed to be already zero, so this does not write zero elements! + * if (plus,minus) is (+,-) then a positive version will be written. + * if (plus,minus) is (-,+) then a negative version will be written. + */ + +#define dCROSSMAT(A,a,skip,plus,minus) \ +do { \ + (A)[1] = minus (a)[2]; \ + (A)[2] = plus (a)[1]; \ + (A)[(skip)+0] = plus (a)[2]; \ + (A)[(skip)+2] = minus (a)[0]; \ + (A)[2*(skip)+0] = minus (a)[1]; \ + (A)[2*(skip)+1] = plus (a)[0]; \ +} while(0) + + +/* + * compute the distance between two 3D-vectors + */ + +#ifdef __cplusplus +PURE_INLINE dReal dDISTANCE (const dVector3 a, const dVector3 b) + { return dSqrt( (a[0]-b[0])*(a[0]-b[0]) + (a[1]-b[1])*(a[1]-b[1]) + (a[2]-b[2])*(a[2]-b[2]) ); } +#else +#define dDISTANCE(a,b) \ + (dSqrt( ((a)[0]-(b)[0])*((a)[0]-(b)[0]) + ((a)[1]-(b)[1])*((a)[1]-(b)[1]) + ((a)[2]-(b)[2])*((a)[2]-(b)[2]) )) +#endif + + +/* + * special case matrix multipication, with operator selection + */ + +#define dMULTIPLYOP0_331(A,op,B,C) \ +do { \ + (A)[0] op dDOT((B),(C)); \ + (A)[1] op dDOT((B+4),(C)); \ + (A)[2] op dDOT((B+8),(C)); \ +} while(0) +#define dMULTIPLYOP1_331(A,op,B,C) \ +do { \ + (A)[0] op dDOT41((B),(C)); \ + (A)[1] op dDOT41((B+1),(C)); \ + (A)[2] op dDOT41((B+2),(C)); \ +} while(0) +#define dMULTIPLYOP0_133(A,op,B,C) \ +do { \ + (A)[0] op dDOT14((B),(C)); \ + (A)[1] op dDOT14((B),(C+1)); \ + (A)[2] op dDOT14((B),(C+2)); \ +} while(0) +#define dMULTIPLYOP0_333(A,op,B,C) \ +do { \ + (A)[0] op dDOT14((B),(C)); \ + (A)[1] op dDOT14((B),(C+1)); \ + (A)[2] op dDOT14((B),(C+2)); \ + (A)[4] op dDOT14((B+4),(C)); \ + (A)[5] op dDOT14((B+4),(C+1)); \ + (A)[6] op dDOT14((B+4),(C+2)); \ + (A)[8] op dDOT14((B+8),(C)); \ + (A)[9] op dDOT14((B+8),(C+1)); \ + (A)[10] op dDOT14((B+8),(C+2)); \ +} while(0) +#define dMULTIPLYOP1_333(A,op,B,C) \ +do { \ + (A)[0] op dDOT44((B),(C)); \ + (A)[1] op dDOT44((B),(C+1)); \ + (A)[2] op dDOT44((B),(C+2)); \ + (A)[4] op dDOT44((B+1),(C)); \ + (A)[5] op dDOT44((B+1),(C+1)); \ + (A)[6] op dDOT44((B+1),(C+2)); \ + (A)[8] op dDOT44((B+2),(C)); \ + (A)[9] op dDOT44((B+2),(C+1)); \ + (A)[10] op dDOT44((B+2),(C+2)); \ +} while(0) +#define dMULTIPLYOP2_333(A,op,B,C) \ +do { \ + (A)[0] op dDOT((B),(C)); \ + (A)[1] op dDOT((B),(C+4)); \ + (A)[2] op dDOT((B),(C+8)); \ + (A)[4] op dDOT((B+4),(C)); \ + (A)[5] op dDOT((B+4),(C+4)); \ + (A)[6] op dDOT((B+4),(C+8)); \ + (A)[8] op dDOT((B+8),(C)); \ + (A)[9] op dDOT((B+8),(C+4)); \ + (A)[10] op dDOT((B+8),(C+8)); \ +} while(0) + +#ifdef __cplusplus + +#define DECL template PURE_INLINE void + +DECL dMULTIPLY0_331(TA *A, const TB *B, const TC *C) { dMULTIPLYOP0_331(A,=,B,C); } +DECL dMULTIPLY1_331(TA *A, const TB *B, const TC *C) { dMULTIPLYOP1_331(A,=,B,C); } +DECL dMULTIPLY0_133(TA *A, const TB *B, const TC *C) { dMULTIPLYOP0_133(A,=,B,C); } +DECL dMULTIPLY0_333(TA *A, const TB *B, const TC *C) { dMULTIPLYOP0_333(A,=,B,C); } +DECL dMULTIPLY1_333(TA *A, const TB *B, const TC *C) { dMULTIPLYOP1_333(A,=,B,C); } +DECL dMULTIPLY2_333(TA *A, const TB *B, const TC *C) { dMULTIPLYOP2_333(A,=,B,C); } + +DECL dMULTIPLYADD0_331(TA *A, const TB *B, const TC *C) { dMULTIPLYOP0_331(A,+=,B,C); } +DECL dMULTIPLYADD1_331(TA *A, const TB *B, const TC *C) { dMULTIPLYOP1_331(A,+=,B,C); } +DECL dMULTIPLYADD0_133(TA *A, const TB *B, const TC *C) { dMULTIPLYOP0_133(A,+=,B,C); } +DECL dMULTIPLYADD0_333(TA *A, const TB *B, const TC *C) { dMULTIPLYOP0_333(A,+=,B,C); } +DECL dMULTIPLYADD1_333(TA *A, const TB *B, const TC *C) { dMULTIPLYOP1_333(A,+=,B,C); } +DECL dMULTIPLYADD2_333(TA *A, const TB *B, const TC *C) { dMULTIPLYOP2_333(A,+=,B,C); } + +#undef DECL + +#else + +#define dMULTIPLY0_331(A,B,C) dMULTIPLYOP0_331(A,=,B,C) +#define dMULTIPLY1_331(A,B,C) dMULTIPLYOP1_331(A,=,B,C) +#define dMULTIPLY0_133(A,B,C) dMULTIPLYOP0_133(A,=,B,C) +#define dMULTIPLY0_333(A,B,C) dMULTIPLYOP0_333(A,=,B,C) +#define dMULTIPLY1_333(A,B,C) dMULTIPLYOP1_333(A,=,B,C) +#define dMULTIPLY2_333(A,B,C) dMULTIPLYOP2_333(A,=,B,C) + +#define dMULTIPLYADD0_331(A,B,C) dMULTIPLYOP0_331(A,+=,B,C) +#define dMULTIPLYADD1_331(A,B,C) dMULTIPLYOP1_331(A,+=,B,C) +#define dMULTIPLYADD0_133(A,B,C) dMULTIPLYOP0_133(A,+=,B,C) +#define dMULTIPLYADD0_333(A,B,C) dMULTIPLYOP0_333(A,+=,B,C) +#define dMULTIPLYADD1_333(A,B,C) dMULTIPLYOP1_333(A,+=,B,C) +#define dMULTIPLYADD2_333(A,B,C) dMULTIPLYOP2_333(A,+=,B,C) + +#endif + + +#ifdef __cplusplus +extern "C" { +#endif + +/* + * normalize 3x1 and 4x1 vectors (i.e. scale them to unit length) + */ +ODE_API void dNormalize3 (dVector3 a); +ODE_API void dNormalize4 (dVector4 a); + + +/* + * given a unit length "normal" vector n, generate vectors p and q vectors + * that are an orthonormal basis for the plane space perpendicular to n. + * i.e. this makes p,q such that n,p,q are all perpendicular to each other. + * q will equal n x p. if n is not unit length then p will be unit length but + * q wont be. + */ + +ODE_API void dPlaneSpace (const dVector3 n, dVector3 p, dVector3 q); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/rotation.h b/misc/builddeps/emscripten/ode/include/ode/rotation.h new file mode 100644 index 00000000..a72be27f --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/rotation.h @@ -0,0 +1,70 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_ROTATION_H_ +#define _ODE_ROTATION_H_ + +#include +#include + +#ifdef __cplusplus +extern "C" { +#endif + + +ODE_API void dRSetIdentity (dMatrix3 R); + +ODE_API void dRFromAxisAndAngle (dMatrix3 R, dReal ax, dReal ay, dReal az, + dReal angle); + +ODE_API void dRFromEulerAngles (dMatrix3 R, dReal phi, dReal theta, dReal psi); + +ODE_API void dRFrom2Axes (dMatrix3 R, dReal ax, dReal ay, dReal az, + dReal bx, dReal by, dReal bz); + +ODE_API void dRFromZAxis (dMatrix3 R, dReal ax, dReal ay, dReal az); + +ODE_API void dQSetIdentity (dQuaternion q); + +ODE_API void dQFromAxisAndAngle (dQuaternion q, dReal ax, dReal ay, dReal az, + dReal angle); + +/* Quaternion multiplication, analogous to the matrix multiplication routines. */ +/* qa = rotate by qc, then qb */ +ODE_API void dQMultiply0 (dQuaternion qa, const dQuaternion qb, const dQuaternion qc); +/* qa = rotate by qc, then by inverse of qb */ +ODE_API void dQMultiply1 (dQuaternion qa, const dQuaternion qb, const dQuaternion qc); +/* qa = rotate by inverse of qc, then by qb */ +ODE_API void dQMultiply2 (dQuaternion qa, const dQuaternion qb, const dQuaternion qc); +/* qa = rotate by inverse of qc, then by inverse of qb */ +ODE_API void dQMultiply3 (dQuaternion qa, const dQuaternion qb, const dQuaternion qc); + +ODE_API void dRfromQ (dMatrix3 R, const dQuaternion q); +ODE_API void dQfromR (dQuaternion q, const dMatrix3 R); +ODE_API void dDQfromW (dReal dq[4], const dVector3 w, const dQuaternion q); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/include/ode/timer.h b/misc/builddeps/emscripten/ode/include/ode/timer.h new file mode 100644 index 00000000..c3f42a7a --- /dev/null +++ b/misc/builddeps/emscripten/ode/include/ode/timer.h @@ -0,0 +1,76 @@ +/************************************************************************* + * * + * Open Dynamics Engine, Copyright (C) 2001,2002 Russell L. Smith. * + * All rights reserved. Email: russ@q12.org Web: www.q12.org * + * * + * This library is free software; you can redistribute it and/or * + * modify it under the terms of EITHER: * + * (1) The GNU Lesser General Public License as published by the Free * + * Software Foundation; either version 2.1 of the License, or (at * + * your option) any later version. The text of the GNU Lesser * + * General Public License is included with this library in the * + * file LICENSE.TXT. * + * (2) The BSD-style license that is included with this library in * + * the file LICENSE-BSD.TXT. * + * * + * This 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 files * + * LICENSE.TXT and LICENSE-BSD.TXT for more details. * + * * + *************************************************************************/ + +#ifndef _ODE_TIMER_H_ +#define _ODE_TIMER_H_ + +#include + +#ifdef __cplusplus +extern "C" { +#endif + + +/* stop watch objects */ + +typedef struct dStopwatch { + double time; /* total clock count */ + unsigned long cc[2]; /* clock count since last `start' */ +} dStopwatch; + +ODE_API void dStopwatchReset (dStopwatch *); +ODE_API void dStopwatchStart (dStopwatch *); +ODE_API void dStopwatchStop (dStopwatch *); +ODE_API double dStopwatchTime (dStopwatch *); /* returns total time in secs */ + + +/* code timers */ + +ODE_API void dTimerStart (const char *description); /* pass a static string here */ +ODE_API void dTimerNow (const char *description); /* pass a static string here */ +ODE_API void dTimerEnd(void); + +/* print out a timer report. if `average' is nonzero, print out the average + * time for each slot (this is only meaningful if the same start-now-end + * calls are being made repeatedly. + */ +ODE_API void dTimerReport (FILE *fout, int average); + + +/* resolution */ + +/* returns the timer ticks per second implied by the timing hardware or API. + * the actual timer resolution may not be this great. + */ +ODE_API double dTimerTicksPerSecond(void); + +/* returns an estimate of the actual timer resolution, in seconds. this may + * be greater than 1/ticks_per_second. + */ +ODE_API double dTimerResolution(void); + + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/misc/builddeps/emscripten/ode/lib/libode.a b/misc/builddeps/emscripten/ode/lib/libode.a new file mode 100644 index 00000000..00b980be --- /dev/null +++ b/misc/builddeps/emscripten/ode/lib/libode.a @@ -0,0 +1 @@ +var Module=typeof Module!="undefined"?Module:{};var ODE=function(){var moduleOverrides=Object.assign({},Module);var arguments_=[];var thisProgram="./this.program";var quit_=(status,toThrow)=>{throw toThrow};var 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getBinarySync(file){if(file==wasmBinaryFile&&wasmBinary){return new Uint8Array(wasmBinary)}var binary=tryParseAsDataURI(file);if(binary){return binary}if(readBinary){return readBinary(file)}throw"both async and sync fetching of the wasm failed"}function getBinaryPromise(binaryFile){return Promise.resolve().then(()=>getBinarySync(binaryFile))}function instantiateArrayBuffer(binaryFile,imports,receiver){return getBinaryPromise(binaryFile).then(binary=>WebAssembly.instantiate(binary,imports)).then(instance=>instance).then(receiver,reason=>{err(`failed to asynchronously prepare wasm: ${reason}`);abort(reason)})}function instantiateAsync(binary,binaryFile,imports,callback){return instantiateArrayBuffer(binaryFile,imports,callback)}function createWasm(){var info={"env":wasmImports,"wasi_snapshot_preview1":wasmImports};function receiveInstance(instance,module){wasmExports=instance.exports;wasmMemory=wasmExports["memory"];updateMemoryViews();wasmTable=wasmExports["__indirect_function_table"];addOnInit(wasmExports["__wasm_call_ctors"]);removeRunDependency("wasm-instantiate");return wasmExports}addRunDependency("wasm-instantiate");function receiveInstantiationResult(result){receiveInstance(result["instance"])}if(Module["instantiateWasm"]){try{return Module["instantiateWasm"](info,receiveInstance)}catch(e){err(`Module.instantiateWasm callback failed with error: ${e}`);return false}}instantiateAsync(wasmBinary,wasmBinaryFile,info,receiveInstantiationResult);return{}}function ExitStatus(status){this.name="ExitStatus";this.message=`Program terminated with exit(${status})`;this.status=status}var callRuntimeCallbacks=callbacks=>{while(callbacks.length>0){callbacks.shift()(Module)}};function getValue(ptr,type="i8"){if(type.endsWith("*"))type="*";switch(type){case"i1":return HEAP8[ptr>>0];case"i8":return HEAP8[ptr>>0];case"i16":return HEAP16[ptr>>1];case"i32":return HEAP32[ptr>>2];case"i64":abort("to do getValue(i64) use WASM_BIGINT");case"float":return HEAPF32[ptr>>2];case"double":return HEAPF64[ptr>>3];case"*":return HEAPU32[ptr>>2];default:abort(`invalid type for getValue: ${type}`)}}function setValue(ptr,value,type="i8"){if(type.endsWith("*"))type="*";switch(type){case"i1":HEAP8[ptr>>0]=value;break;case"i8":HEAP8[ptr>>0]=value;break;case"i16":HEAP16[ptr>>1]=value;break;case"i32":HEAP32[ptr>>2]=value;break;case"i64":abort("to do setValue(i64) use WASM_BIGINT");case"float":HEAPF32[ptr>>2]=value;break;case"double":HEAPF64[ptr>>3]=value;break;case"*":HEAPU32[ptr>>2]=value;break;default:abort(`invalid type for setValue: ${type}`)}}var _abort=()=>{abort("")};var _emscripten_memcpy_js=(dest,src,num)=>HEAPU8.copyWithin(dest,src,src+num);var abortOnCannotGrowMemory=requestedSize=>{abort("OOM")};var _emscripten_resize_heap=requestedSize=>{var oldSize=HEAPU8.length;requestedSize>>>=0;abortOnCannotGrowMemory(requestedSize)};var UTF8Decoder=typeof TextDecoder!="undefined"?new TextDecoder("utf8"):undefined;var UTF8ArrayToString=(heapOrArray,idx,maxBytesToRead)=>{var endIdx=idx+maxBytesToRead;var endPtr=idx;while(heapOrArray[endPtr]&&!(endPtr>=endIdx))++endPtr;if(endPtr-idx>16&&heapOrArray.buffer&&UTF8Decoder){return UTF8Decoder.decode(heapOrArray.subarray(idx,endPtr))}var str="";while(idx>10,56320|ch&1023)}}return str};var UTF8ToString=(ptr,maxBytesToRead)=>ptr?UTF8ArrayToString(HEAPU8,ptr,maxBytesToRead):"";var SYSCALLS={varargs:undefined,get(){var ret=HEAP32[+SYSCALLS.varargs>>2];SYSCALLS.varargs+=4;return ret},getp(){return SYSCALLS.get()},getStr(ptr){var ret=UTF8ToString(ptr);return ret}};var _fd_close=fd=>52;var convertI32PairToI53Checked=(lo,hi)=>hi+2097152>>>0<4194305-!!lo?(lo>>>0)+hi*4294967296:NaN;function _fd_seek(fd,offset_low,offset_high,whence,newOffset){var offset=convertI32PairToI53Checked(offset_low,offset_high);return 70}var printCharBuffers=[null,[],[]];var printChar=(stream,curr)=>{var buffer=printCharBuffers[stream];if(curr===0||curr===10){(stream===1?out:err)(UTF8ArrayToString(buffer,0));buffer.length=0}else{buffer.push(curr)}};var _fd_write=(fd,iov,iovcnt,pnum)=>{var num=0;for(var i=0;i>2];var len=HEAPU32[iov+4>>2];iov+=8;for(var j=0;j>2]=num;return 0};var getCFunc=ident=>{var func=Module["_"+ident];return func};var writeArrayToMemory=(array,buffer)=>{HEAP8.set(array,buffer)};var lengthBytesUTF8=str=>{var len=0;for(var i=0;i=55296&&c<=57343){len+=4;++i}else{len+=3}}return len};var stringToUTF8Array=(str,heap,outIdx,maxBytesToWrite)=>{if(!(maxBytesToWrite>0))return 0;var startIdx=outIdx;var endIdx=outIdx+maxBytesToWrite-1;for(var i=0;i=55296&&u<=57343){var u1=str.charCodeAt(++i);u=65536+((u&1023)<<10)|u1&1023}if(u<=127){if(outIdx>=endIdx)break;heap[outIdx++]=u}else if(u<=2047){if(outIdx+1>=endIdx)break;heap[outIdx++]=192|u>>6;heap[outIdx++]=128|u&63}else if(u<=65535){if(outIdx+2>=endIdx)break;heap[outIdx++]=224|u>>12;heap[outIdx++]=128|u>>6&63;heap[outIdx++]=128|u&63}else{if(outIdx+3>=endIdx)break;heap[outIdx++]=240|u>>18;heap[outIdx++]=128|u>>12&63;heap[outIdx++]=128|u>>6&63;heap[outIdx++]=128|u&63}}heap[outIdx]=0;return outIdx-startIdx};var stringToUTF8=(str,outPtr,maxBytesToWrite)=>stringToUTF8Array(str,HEAPU8,outPtr,maxBytesToWrite);var stringToUTF8OnStack=str=>{var size=lengthBytesUTF8(str)+1;var ret=stackAlloc(size);stringToUTF8(str,ret,size);return ret};var ccall=(ident,returnType,argTypes,args,opts)=>{var toC={"string":str=>{var ret=0;if(str!==null&&str!==undefined&&str!==0){ret=stringToUTF8OnStack(str)}return ret},"array":arr=>{var ret=stackAlloc(arr.length);writeArrayToMemory(arr,ret);return ret}};function convertReturnValue(ret){if(returnType==="string"){return UTF8ToString(ret)}if(returnType==="boolean")return Boolean(ret);return ret}var func=getCFunc(ident);var cArgs=[];var stack=0;if(args){for(var i=0;i{var numericArgs=!argTypes||argTypes.every(type=>type==="number"||type==="boolean");var numericRet=returnType!=="string";if(numericRet&&numericArgs&&!opts){return getCFunc(ident)}return function(){return ccall(ident,returnType,argTypes,arguments,opts)}};var uleb128Encode=(n,target)=>{if(n<128){target.push(n)}else{target.push(n%128|128,n>>7)}};var sigToWasmTypes=sig=>{var typeNames={"i":"i32","j":"i64","f":"f32","d":"f64","p":"i32"};var type={parameters:[],results:sig[0]=="v"?[]:[typeNames[sig[0]]]};for(var i=1;i{var sigRet=sig.slice(0,1);var sigParam=sig.slice(1);var typeCodes={"i":127,"p":127,"j":126,"f":125,"d":124};target.push(96);uleb128Encode(sigParam.length,target);for(var i=0;i{if(typeof WebAssembly.Function=="function"){return new WebAssembly.Function(sigToWasmTypes(sig),func)}var typeSectionBody=[1];generateFuncType(sig,typeSectionBody);var bytes=[0,97,115,109,1,0,0,0,1];uleb128Encode(typeSectionBody.length,bytes);bytes.push.apply(bytes,typeSectionBody);bytes.push(2,7,1,1,101,1,102,0,0,7,5,1,1,102,0,0);var module=new WebAssembly.Module(new Uint8Array(bytes));var instance=new WebAssembly.Instance(module,{"e":{"f":func}});var wrappedFunc=instance.exports["f"];return wrappedFunc};var wasmTableMirror=[];var wasmTable;var getWasmTableEntry=funcPtr=>{var func=wasmTableMirror[funcPtr];if(!func){if(funcPtr>=wasmTableMirror.length)wasmTableMirror.length=funcPtr+1;wasmTableMirror[funcPtr]=func=wasmTable.get(funcPtr)}return func};var updateTableMap=(offset,count)=>{if(functionsInTableMap){for(var i=offset;i{if(!functionsInTableMap){functionsInTableMap=new WeakMap;updateTableMap(0,wasmTable.length)}return functionsInTableMap.get(func)||0};var freeTableIndexes=[];var getEmptyTableSlot=()=>{if(freeTableIndexes.length){return freeTableIndexes.pop()}try{wasmTable.grow(1)}catch(err){if(!(err instanceof RangeError)){throw err}throw"Unable to grow wasm table. Set ALLOW_TABLE_GROWTH."}return wasmTable.length-1};var setWasmTableEntry=(idx,func)=>{wasmTable.set(idx,func);wasmTableMirror[idx]=wasmTable.get(idx)};var addFunction=(func,sig)=>{var rtn=getFunctionAddress(func);if(rtn){return rtn}var ret=getEmptyTableSlot();try{setWasmTableEntry(ret,func)}catch(err){if(!(err instanceof TypeError)){throw err}var wrapped=convertJsFunctionToWasm(func,sig);setWasmTableEntry(ret,wrapped)}functionsInTableMap.set(func,ret);return ret};var removeFunction=index=>{functionsInTableMap.delete(getWasmTableEntry(index));setWasmTableEntry(index,null);freeTableIndexes.push(index)};var wasmImports={abort:_abort,emscripten_memcpy_js:_emscripten_memcpy_js,emscripten_resize_heap:_emscripten_resize_heap,fd_close:_fd_close,fd_seek:_fd_seek,fd_write:_fd_write};var wasmExports=createWasm();var ___wasm_call_ctors=()=>(___wasm_call_ctors=wasmExports["__wasm_call_ctors"])();var _dCreateBox=Module["_dCreateBox"]=(a0,a1,a2,a3)=>(_dCreateBox=Module["_dCreateBox"]=wasmExports["dCreateBox"])(a0,a1,a2,a3);var _dGeomBoxSetLengths=Module["_dGeomBoxSetLengths"]=(a0,a1,a2,a3)=>(_dGeomBoxSetLengths=Module["_dGeomBoxSetLengths"]=wasmExports["dGeomBoxSetLengths"])(a0,a1,a2,a3);var _dGeomBoxGetLengths=Module["_dGeomBoxGetLengths"]=(a0,a1)=>(_dGeomBoxGetLengths=Module["_dGeomBoxGetLengths"]=wasmExports["dGeomBoxGetLengths"])(a0,a1);var _dCreateCapsule=Module["_dCreateCapsule"]=(a0,a1,a2)=>(_dCreateCapsule=Module["_dCreateCapsule"]=wasmExports["dCreateCapsule"])(a0,a1,a2);var _dGeomCapsuleSetParams=Module["_dGeomCapsuleSetParams"]=(a0,a1,a2)=>(_dGeomCapsuleSetParams=Module["_dGeomCapsuleSetParams"]=wasmExports["dGeomCapsuleSetParams"])(a0,a1,a2);var _dGeomCapsuleGetParams=Module["_dGeomCapsuleGetParams"]=(a0,a1,a2)=>(_dGeomCapsuleGetParams=Module["_dGeomCapsuleGetParams"]=wasmExports["dGeomCapsuleGetParams"])(a0,a1,a2);var _dGeomGetRotation=Module["_dGeomGetRotation"]=a0=>(_dGeomGetRotation=Module["_dGeomGetRotation"]=wasmExports["dGeomGetRotation"])(a0);var _dGeomGetPosition=Module["_dGeomGetPosition"]=a0=>(_dGeomGetPosition=Module["_dGeomGetPosition"]=wasmExports["dGeomGetPosition"])(a0);var _dRSetIdentity=Module["_dRSetIdentity"]=a0=>(_dRSetIdentity=Module["_dRSetIdentity"]=wasmExports["dRSetIdentity"])(a0);var _dGeomPlaneGetParams=Module["_dGeomPlaneGetParams"]=(a0,a1)=>(_dGeomPlaneGetParams=Module["_dGeomPlaneGetParams"]=wasmExports["dGeomPlaneGetParams"])(a0,a1);var _dGeomSphereGetRadius=Module["_dGeomSphereGetRadius"]=a0=>(_dGeomSphereGetRadius=Module["_dGeomSphereGetRadius"]=wasmExports["dGeomSphereGetRadius"])(a0);var _dGeomGetBody=Module["_dGeomGetBody"]=a0=>(_dGeomGetBody=Module["_dGeomGetBody"]=wasmExports["dGeomGetBody"])(a0);var _dBodyGetLinearVel=Module["_dBodyGetLinearVel"]=a0=>(_dBodyGetLinearVel=Module["_dBodyGetLinearVel"]=wasmExports["dBodyGetLinearVel"])(a0);var _dCollide=Module["_dCollide"]=(a0,a1,a2,a3,a4)=>(_dCollide=Module["_dCollide"]=wasmExports["dCollide"])(a0,a1,a2,a3,a4);var _dSpaceAdd=Module["_dSpaceAdd"]=(a0,a1)=>(_dSpaceAdd=Module["_dSpaceAdd"]=wasmExports["dSpaceAdd"])(a0,a1);var _dSpaceRemove=Module["_dSpaceRemove"]=(a0,a1)=>(_dSpaceRemove=Module["_dSpaceRemove"]=wasmExports["dSpaceRemove"])(a0,a1);var _dGeomDestroy=Module["_dGeomDestroy"]=a0=>(_dGeomDestroy=Module["_dGeomDestroy"]=wasmExports["dGeomDestroy"])(a0);var _dGeomSetBody=Module["_dGeomSetBody"]=(a0,a1)=>(_dGeomSetBody=Module["_dGeomSetBody"]=wasmExports["dGeomSetBody"])(a0,a1);var _dGeomSetPosition=Module["_dGeomSetPosition"]=(a0,a1,a2,a3)=>(_dGeomSetPosition=Module["_dGeomSetPosition"]=wasmExports["dGeomSetPosition"])(a0,a1,a2,a3);var _dBodySetPosition=Module["_dBodySetPosition"]=(a0,a1,a2,a3)=>(_dBodySetPosition=Module["_dBodySetPosition"]=wasmExports["dBodySetPosition"])(a0,a1,a2,a3);var _dGeomSetRotation=Module["_dGeomSetRotation"]=(a0,a1)=>(_dGeomSetRotation=Module["_dGeomSetRotation"]=wasmExports["dGeomSetRotation"])(a0,a1);var _dBodySetRotation=Module["_dBodySetRotation"]=(a0,a1)=>(_dBodySetRotation=Module["_dBodySetRotation"]=wasmExports["dBodySetRotation"])(a0,a1);var _dBodySetQuaternion=Module["_dBodySetQuaternion"]=(a0,a1)=>(_dBodySetQuaternion=Module["_dBodySetQuaternion"]=wasmExports["dBodySetQuaternion"])(a0,a1);var _dBodyGetQuaternion=Module["_dBodyGetQuaternion"]=a0=>(_dBodyGetQuaternion=Module["_dBodyGetQuaternion"]=wasmExports["dBodyGetQuaternion"])(a0);var _dGeomGetAABB=Module["_dGeomGetAABB"]=(a0,a1)=>(_dGeomGetAABB=Module["_dGeomGetAABB"]=wasmExports["dGeomGetAABB"])(a0,a1);var _dGeomGetClass=Module["_dGeomGetClass"]=a0=>(_dGeomGetClass=Module["_dGeomGetClass"]=wasmExports["dGeomGetClass"])(a0);var _dSimpleSpaceCreate=Module["_dSimpleSpaceCreate"]=a0=>(_dSimpleSpaceCreate=Module["_dSimpleSpaceCreate"]=wasmExports["dSimpleSpaceCreate"])(a0);var _dHashSpaceCreate=Module["_dHashSpaceCreate"]=a0=>(_dHashSpaceCreate=Module["_dHashSpaceCreate"]=wasmExports["dHashSpaceCreate"])(a0);var _dHashSpaceSetLevels=Module["_dHashSpaceSetLevels"]=(a0,a1,a2)=>(_dHashSpaceSetLevels=Module["_dHashSpaceSetLevels"]=wasmExports["dHashSpaceSetLevels"])(a0,a1,a2);var _dHashSpaceGetLevels=Module["_dHashSpaceGetLevels"]=(a0,a1,a2)=>(_dHashSpaceGetLevels=Module["_dHashSpaceGetLevels"]=wasmExports["dHashSpaceGetLevels"])(a0,a1,a2);var _dSpaceDestroy=Module["_dSpaceDestroy"]=a0=>(_dSpaceDestroy=Module["_dSpaceDestroy"]=wasmExports["dSpaceDestroy"])(a0);var _dSpaceSetCleanup=Module["_dSpaceSetCleanup"]=(a0,a1)=>(_dSpaceSetCleanup=Module["_dSpaceSetCleanup"]=wasmExports["dSpaceSetCleanup"])(a0,a1);var _dSpaceGetCleanup=Module["_dSpaceGetCleanup"]=a0=>(_dSpaceGetCleanup=Module["_dSpaceGetCleanup"]=wasmExports["dSpaceGetCleanup"])(a0);var _dSpaceCollide=Module["_dSpaceCollide"]=(a0,a1,a2)=>(_dSpaceCollide=Module["_dSpaceCollide"]=wasmExports["dSpaceCollide"])(a0,a1,a2);var _dCreateGeomTransform=Module["_dCreateGeomTransform"]=a0=>(_dCreateGeomTransform=Module["_dCreateGeomTransform"]=wasmExports["dCreateGeomTransform"])(a0);var _dGeomTransformSetGeom=Module["_dGeomTransformSetGeom"]=(a0,a1)=>(_dGeomTransformSetGeom=Module["_dGeomTransformSetGeom"]=wasmExports["dGeomTransformSetGeom"])(a0,a1);var _dGeomTransformGetGeom=Module["_dGeomTransformGetGeom"]=a0=>(_dGeomTransformGetGeom=Module["_dGeomTransformGetGeom"]=wasmExports["dGeomTransformGetGeom"])(a0);var _dGeomTransformSetCleanup=Module["_dGeomTransformSetCleanup"]=(a0,a1)=>(_dGeomTransformSetCleanup=Module["_dGeomTransformSetCleanup"]=wasmExports["dGeomTransformSetCleanup"])(a0,a1);var _dGeomTransformGetCleanup=Module["_dGeomTransformGetCleanup"]=a0=>(_dGeomTransformGetCleanup=Module["_dGeomTransformGetCleanup"]=wasmExports["dGeomTransformGetCleanup"])(a0);var _dGeomTriMeshDataCreate=Module["_dGeomTriMeshDataCreate"]=()=>(_dGeomTriMeshDataCreate=Module["_dGeomTriMeshDataCreate"]=wasmExports["dGeomTriMeshDataCreate"])();var _dGeomTriMeshDataDestroy=Module["_dGeomTriMeshDataDestroy"]=a0=>(_dGeomTriMeshDataDestroy=Module["_dGeomTriMeshDataDestroy"]=wasmExports["dGeomTriMeshDataDestroy"])(a0);var _dGeomTriMeshDataBuildSingle1=Module["_dGeomTriMeshDataBuildSingle1"]=(a0,a1,a2,a3,a4,a5,a6,a7)=>(_dGeomTriMeshDataBuildSingle1=Module["_dGeomTriMeshDataBuildSingle1"]=wasmExports["dGeomTriMeshDataBuildSingle1"])(a0,a1,a2,a3,a4,a5,a6,a7);var _dGeomTriMeshDataBuildSingle=Module["_dGeomTriMeshDataBuildSingle"]=(a0,a1,a2,a3,a4,a5,a6)=>(_dGeomTriMeshDataBuildSingle=Module["_dGeomTriMeshDataBuildSingle"]=wasmExports["dGeomTriMeshDataBuildSingle"])(a0,a1,a2,a3,a4,a5,a6);var _dCreateTriMesh=Module["_dCreateTriMesh"]=(a0,a1,a2,a3,a4)=>(_dCreateTriMesh=Module["_dCreateTriMesh"]=wasmExports["dCreateTriMesh"])(a0,a1,a2,a3,a4);var _dCreateCylinder=Module["_dCreateCylinder"]=(a0,a1,a2)=>(_dCreateCylinder=Module["_dCreateCylinder"]=wasmExports["dCreateCylinder"])(a0,a1,a2);var _dGeomHeightfieldDataCreate=Module["_dGeomHeightfieldDataCreate"]=()=>(_dGeomHeightfieldDataCreate=Module["_dGeomHeightfieldDataCreate"]=wasmExports["dGeomHeightfieldDataCreate"])();var _dGeomHeightfieldDataBuildCallback=Module["_dGeomHeightfieldDataBuildCallback"]=(a0,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10)=>(_dGeomHeightfieldDataBuildCallback=Module["_dGeomHeightfieldDataBuildCallback"]=wasmExports["dGeomHeightfieldDataBuildCallback"])(a0,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10);var _dGeomHeightfieldDataSetBounds=Module["_dGeomHeightfieldDataSetBounds"]=(a0,a1,a2)=>(_dGeomHeightfieldDataSetBounds=Module["_dGeomHeightfieldDataSetBounds"]=wasmExports["dGeomHeightfieldDataSetBounds"])(a0,a1,a2);var _dGeomHeightfieldDataDestroy=Module["_dGeomHeightfieldDataDestroy"]=a0=>(_dGeomHeightfieldDataDestroy=Module["_dGeomHeightfieldDataDestroy"]=wasmExports["dGeomHeightfieldDataDestroy"])(a0);var _dCreateHeightfield=Module["_dCreateHeightfield"]=(a0,a1,a2)=>(_dCreateHeightfield=Module["_dCreateHeightfield"]=wasmExports["dCreateHeightfield"])(a0,a1,a2);var _dBodyAddTorque=Module["_dBodyAddTorque"]=(a0,a1,a2,a3)=>(_dBodyAddTorque=Module["_dBodyAddTorque"]=wasmExports["dBodyAddTorque"])(a0,a1,a2,a3);var _dBodyAddForce=Module["_dBodyAddForce"]=(a0,a1,a2,a3)=>(_dBodyAddForce=Module["_dBodyAddForce"]=wasmExports["dBodyAddForce"])(a0,a1,a2,a3);var _dJointSetBallAnchor=Module["_dJointSetBallAnchor"]=(a0,a1,a2,a3)=>(_dJointSetBallAnchor=Module["_dJointSetBallAnchor"]=wasmExports["dJointSetBallAnchor"])(a0,a1,a2,a3);var _dJointGetBallAnchor=Module["_dJointGetBallAnchor"]=(a0,a1)=>(_dJointGetBallAnchor=Module["_dJointGetBallAnchor"]=wasmExports["dJointGetBallAnchor"])(a0,a1);var _dJointSetHingeAnchor=Module["_dJointSetHingeAnchor"]=(a0,a1,a2,a3)=>(_dJointSetHingeAnchor=Module["_dJointSetHingeAnchor"]=wasmExports["dJointSetHingeAnchor"])(a0,a1,a2,a3);var _dJointSetHingeAxis=Module["_dJointSetHingeAxis"]=(a0,a1,a2,a3)=>(_dJointSetHingeAxis=Module["_dJointSetHingeAxis"]=wasmExports["dJointSetHingeAxis"])(a0,a1,a2,a3);var _dJointGetHingeAnchor=Module["_dJointGetHingeAnchor"]=(a0,a1)=>(_dJointGetHingeAnchor=Module["_dJointGetHingeAnchor"]=wasmExports["dJointGetHingeAnchor"])(a0,a1);var _dJointGetHingeAxis=Module["_dJointGetHingeAxis"]=(a0,a1)=>(_dJointGetHingeAxis=Module["_dJointGetHingeAxis"]=wasmExports["dJointGetHingeAxis"])(a0,a1);var _dJointSetHingeParam=Module["_dJointSetHingeParam"]=(a0,a1,a2)=>(_dJointSetHingeParam=Module["_dJointSetHingeParam"]=wasmExports["dJointSetHingeParam"])(a0,a1,a2);var _dJointGetHingeParam=Module["_dJointGetHingeParam"]=(a0,a1)=>(_dJointGetHingeParam=Module["_dJointGetHingeParam"]=wasmExports["dJointGetHingeParam"])(a0,a1);var _dJointGetHingeAngle=Module["_dJointGetHingeAngle"]=a0=>(_dJointGetHingeAngle=Module["_dJointGetHingeAngle"]=wasmExports["dJointGetHingeAngle"])(a0);var _dJointGetHingeAngleRate=Module["_dJointGetHingeAngleRate"]=a0=>(_dJointGetHingeAngleRate=Module["_dJointGetHingeAngleRate"]=wasmExports["dJointGetHingeAngleRate"])(a0);var _dJointGetSliderPosition=Module["_dJointGetSliderPosition"]=a0=>(_dJointGetSliderPosition=Module["_dJointGetSliderPosition"]=wasmExports["dJointGetSliderPosition"])(a0);var _dJointGetSliderPositionRate=Module["_dJointGetSliderPositionRate"]=a0=>(_dJointGetSliderPositionRate=Module["_dJointGetSliderPositionRate"]=wasmExports["dJointGetSliderPositionRate"])(a0);var _dJointSetSliderAxis=Module["_dJointSetSliderAxis"]=(a0,a1,a2,a3)=>(_dJointSetSliderAxis=Module["_dJointSetSliderAxis"]=wasmExports["dJointSetSliderAxis"])(a0,a1,a2,a3);var _dJointGetSliderAxis=Module["_dJointGetSliderAxis"]=(a0,a1)=>(_dJointGetSliderAxis=Module["_dJointGetSliderAxis"]=wasmExports["dJointGetSliderAxis"])(a0,a1);var _dJointSetSliderParam=Module["_dJointSetSliderParam"]=(a0,a1,a2)=>(_dJointSetSliderParam=Module["_dJointSetSliderParam"]=wasmExports["dJointSetSliderParam"])(a0,a1,a2);var _dJointGetSliderParam=Module["_dJointGetSliderParam"]=(a0,a1)=>(_dJointGetSliderParam=Module["_dJointGetSliderParam"]=wasmExports["dJointGetSliderParam"])(a0,a1);var _dJointSetHinge2Anchor=Module["_dJointSetHinge2Anchor"]=(a0,a1,a2,a3)=>(_dJointSetHinge2Anchor=Module["_dJointSetHinge2Anchor"]=wasmExports["dJointSetHinge2Anchor"])(a0,a1,a2,a3);var _dJointSetHinge2Axis1=Module["_dJointSetHinge2Axis1"]=(a0,a1,a2,a3)=>(_dJointSetHinge2Axis1=Module["_dJointSetHinge2Axis1"]=wasmExports["dJointSetHinge2Axis1"])(a0,a1,a2,a3);var _dJointSetHinge2Axis2=Module["_dJointSetHinge2Axis2"]=(a0,a1,a2,a3)=>(_dJointSetHinge2Axis2=Module["_dJointSetHinge2Axis2"]=wasmExports["dJointSetHinge2Axis2"])(a0,a1,a2,a3);var _dJointSetHinge2Param=Module["_dJointSetHinge2Param"]=(a0,a1,a2)=>(_dJointSetHinge2Param=Module["_dJointSetHinge2Param"]=wasmExports["dJointSetHinge2Param"])(a0,a1,a2);var _dJointGetHinge2Anchor=Module["_dJointGetHinge2Anchor"]=(a0,a1)=>(_dJointGetHinge2Anchor=Module["_dJointGetHinge2Anchor"]=wasmExports["dJointGetHinge2Anchor"])(a0,a1);var _dJointGetHinge2Axis1=Module["_dJointGetHinge2Axis1"]=(a0,a1)=>(_dJointGetHinge2Axis1=Module["_dJointGetHinge2Axis1"]=wasmExports["dJointGetHinge2Axis1"])(a0,a1);var _dJointGetHinge2Axis2=Module["_dJointGetHinge2Axis2"]=(a0,a1)=>(_dJointGetHinge2Axis2=Module["_dJointGetHinge2Axis2"]=wasmExports["dJointGetHinge2Axis2"])(a0,a1);var _dJointGetHinge2Param=Module["_dJointGetHinge2Param"]=(a0,a1)=>(_dJointGetHinge2Param=Module["_dJointGetHinge2Param"]=wasmExports["dJointGetHinge2Param"])(a0,a1);var _dJointGetHinge2Angle1=Module["_dJointGetHinge2Angle1"]=a0=>(_dJointGetHinge2Angle1=Module["_dJointGetHinge2Angle1"]=wasmExports["dJointGetHinge2Angle1"])(a0);var _dJointGetHinge2Angle1Rate=Module["_dJointGetHinge2Angle1Rate"]=a0=>(_dJointGetHinge2Angle1Rate=Module["_dJointGetHinge2Angle1Rate"]=wasmExports["dJointGetHinge2Angle1Rate"])(a0);var _dJointGetHinge2Angle2Rate=Module["_dJointGetHinge2Angle2Rate"]=a0=>(_dJointGetHinge2Angle2Rate=Module["_dJointGetHinge2Angle2Rate"]=wasmExports["dJointGetHinge2Angle2Rate"])(a0);var _dJointSetUniversalAnchor=Module["_dJointSetUniversalAnchor"]=(a0,a1,a2,a3)=>(_dJointSetUniversalAnchor=Module["_dJointSetUniversalAnchor"]=wasmExports["dJointSetUniversalAnchor"])(a0,a1,a2,a3);var _dRFrom2Axes=Module["_dRFrom2Axes"]=(a0,a1,a2,a3,a4,a5,a6)=>(_dRFrom2Axes=Module["_dRFrom2Axes"]=wasmExports["dRFrom2Axes"])(a0,a1,a2,a3,a4,a5,a6);var _dJointSetUniversalAxis1=Module["_dJointSetUniversalAxis1"]=(a0,a1,a2,a3)=>(_dJointSetUniversalAxis1=Module["_dJointSetUniversalAxis1"]=wasmExports["dJointSetUniversalAxis1"])(a0,a1,a2,a3);var _dJointSetUniversalAxis2=Module["_dJointSetUniversalAxis2"]=(a0,a1,a2,a3)=>(_dJointSetUniversalAxis2=Module["_dJointSetUniversalAxis2"]=wasmExports["dJointSetUniversalAxis2"])(a0,a1,a2,a3);var _dJointGetUniversalAnchor=Module["_dJointGetUniversalAnchor"]=(a0,a1)=>(_dJointGetUniversalAnchor=Module["_dJointGetUniversalAnchor"]=wasmExports["dJointGetUniversalAnchor"])(a0,a1);var _dJointGetUniversalAnchor2=Module["_dJointGetUniversalAnchor2"]=(a0,a1)=>(_dJointGetUniversalAnchor2=Module["_dJointGetUniversalAnchor2"]=wasmExports["dJointGetUniversalAnchor2"])(a0,a1);var _dJointGetUniversalAxis1=Module["_dJointGetUniversalAxis1"]=(a0,a1)=>(_dJointGetUniversalAxis1=Module["_dJointGetUniversalAxis1"]=wasmExports["dJointGetUniversalAxis1"])(a0,a1);var _dJointGetUniversalAxis2=Module["_dJointGetUniversalAxis2"]=(a0,a1)=>(_dJointGetUniversalAxis2=Module["_dJointGetUniversalAxis2"]=wasmExports["dJointGetUniversalAxis2"])(a0,a1);var _dJointSetUniversalParam=Module["_dJointSetUniversalParam"]=(a0,a1,a2)=>(_dJointSetUniversalParam=Module["_dJointSetUniversalParam"]=wasmExports["dJointSetUniversalParam"])(a0,a1,a2);var _dJointGetUniversalParam=Module["_dJointGetUniversalParam"]=(a0,a1)=>(_dJointGetUniversalParam=Module["_dJointGetUniversalParam"]=wasmExports["dJointGetUniversalParam"])(a0,a1);var _dJointGetUniversalAngle1=Module["_dJointGetUniversalAngle1"]=a0=>(_dJointGetUniversalAngle1=Module["_dJointGetUniversalAngle1"]=wasmExports["dJointGetUniversalAngle1"])(a0);var _dJointGetUniversalAngle2=Module["_dJointGetUniversalAngle2"]=a0=>(_dJointGetUniversalAngle2=Module["_dJointGetUniversalAngle2"]=wasmExports["dJointGetUniversalAngle2"])(a0);var _dJointGetUniversalAngle1Rate=Module["_dJointGetUniversalAngle1Rate"]=a0=>(_dJointGetUniversalAngle1Rate=Module["_dJointGetUniversalAngle1Rate"]=wasmExports["dJointGetUniversalAngle1Rate"])(a0);var _dJointGetUniversalAngle2Rate=Module["_dJointGetUniversalAngle2Rate"]=a0=>(_dJointGetUniversalAngle2Rate=Module["_dJointGetUniversalAngle2Rate"]=wasmExports["dJointGetUniversalAngle2Rate"])(a0);var _dJointSetAMotorNumAxes=Module["_dJointSetAMotorNumAxes"]=(a0,a1)=>(_dJointSetAMotorNumAxes=Module["_dJointSetAMotorNumAxes"]=wasmExports["dJointSetAMotorNumAxes"])(a0,a1);var _dJointSetAMotorAxis=Module["_dJointSetAMotorAxis"]=(a0,a1,a2,a3,a4,a5)=>(_dJointSetAMotorAxis=Module["_dJointSetAMotorAxis"]=wasmExports["dJointSetAMotorAxis"])(a0,a1,a2,a3,a4,a5);var _dJointSetAMotorAngle=Module["_dJointSetAMotorAngle"]=(a0,a1,a2)=>(_dJointSetAMotorAngle=Module["_dJointSetAMotorAngle"]=wasmExports["dJointSetAMotorAngle"])(a0,a1,a2);var _dJointSetAMotorParam=Module["_dJointSetAMotorParam"]=(a0,a1,a2)=>(_dJointSetAMotorParam=Module["_dJointSetAMotorParam"]=wasmExports["dJointSetAMotorParam"])(a0,a1,a2);var _dJointSetAMotorMode=Module["_dJointSetAMotorMode"]=(a0,a1)=>(_dJointSetAMotorMode=Module["_dJointSetAMotorMode"]=wasmExports["dJointSetAMotorMode"])(a0,a1);var _dJointGetAMotorNumAxes=Module["_dJointGetAMotorNumAxes"]=a0=>(_dJointGetAMotorNumAxes=Module["_dJointGetAMotorNumAxes"]=wasmExports["dJointGetAMotorNumAxes"])(a0);var _dJointGetAMotorAxis=Module["_dJointGetAMotorAxis"]=(a0,a1,a2)=>(_dJointGetAMotorAxis=Module["_dJointGetAMotorAxis"]=wasmExports["dJointGetAMotorAxis"])(a0,a1,a2);var _dJointGetAMotorAxisRel=Module["_dJointGetAMotorAxisRel"]=(a0,a1)=>(_dJointGetAMotorAxisRel=Module["_dJointGetAMotorAxisRel"]=wasmExports["dJointGetAMotorAxisRel"])(a0,a1);var _dJointGetAMotorAngle=Module["_dJointGetAMotorAngle"]=(a0,a1)=>(_dJointGetAMotorAngle=Module["_dJointGetAMotorAngle"]=wasmExports["dJointGetAMotorAngle"])(a0,a1);var _dJointGetAMotorAngleRate=Module["_dJointGetAMotorAngleRate"]=(a0,a1)=>(_dJointGetAMotorAngleRate=Module["_dJointGetAMotorAngleRate"]=wasmExports["dJointGetAMotorAngleRate"])(a0,a1);var _dJointGetAMotorParam=Module["_dJointGetAMotorParam"]=(a0,a1)=>(_dJointGetAMotorParam=Module["_dJointGetAMotorParam"]=wasmExports["dJointGetAMotorParam"])(a0,a1);var _dJointGetAMotorMode=Module["_dJointGetAMotorMode"]=a0=>(_dJointGetAMotorMode=Module["_dJointGetAMotorMode"]=wasmExports["dJointGetAMotorMode"])(a0);var _dJointSetFixed=Module["_dJointSetFixed"]=a0=>(_dJointSetFixed=Module["_dJointSetFixed"]=wasmExports["dJointSetFixed"])(a0);var _dMassSetZero=Module["_dMassSetZero"]=a0=>(_dMassSetZero=Module["_dMassSetZero"]=wasmExports["dMassSetZero"])(a0);var _dMassSetParameters=Module["_dMassSetParameters"]=(a0,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10)=>(_dMassSetParameters=Module["_dMassSetParameters"]=wasmExports["dMassSetParameters"])(a0,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10);var _dMassSetSphere=Module["_dMassSetSphere"]=(a0,a1,a2)=>(_dMassSetSphere=Module["_dMassSetSphere"]=wasmExports["dMassSetSphere"])(a0,a1,a2);var _dMassSetSphereTotal=Module["_dMassSetSphereTotal"]=(a0,a1,a2)=>(_dMassSetSphereTotal=Module["_dMassSetSphereTotal"]=wasmExports["dMassSetSphereTotal"])(a0,a1,a2);var _dMassSetCapsule=Module["_dMassSetCapsule"]=(a0,a1,a2,a3,a4)=>(_dMassSetCapsule=Module["_dMassSetCapsule"]=wasmExports["dMassSetCapsule"])(a0,a1,a2,a3,a4);var _dMassSetCapsuleTotal=Module["_dMassSetCapsuleTotal"]=(a0,a1,a2,a3,a4)=>(_dMassSetCapsuleTotal=Module["_dMassSetCapsuleTotal"]=wasmExports["dMassSetCapsuleTotal"])(a0,a1,a2,a3,a4);var _dMassAdjust=Module["_dMassAdjust"]=(a0,a1)=>(_dMassAdjust=Module["_dMassAdjust"]=wasmExports["dMassAdjust"])(a0,a1);var _dMassSetCylinder=Module["_dMassSetCylinder"]=(a0,a1,a2,a3,a4)=>(_dMassSetCylinder=Module["_dMassSetCylinder"]=wasmExports["dMassSetCylinder"])(a0,a1,a2,a3,a4);var _dMassSetCylinderTotal=Module["_dMassSetCylinderTotal"]=(a0,a1,a2,a3,a4)=>(_dMassSetCylinderTotal=Module["_dMassSetCylinderTotal"]=wasmExports["dMassSetCylinderTotal"])(a0,a1,a2,a3,a4);var _dMassSetBox=Module["_dMassSetBox"]=(a0,a1,a2,a3,a4)=>(_dMassSetBox=Module["_dMassSetBox"]=wasmExports["dMassSetBox"])(a0,a1,a2,a3,a4);var _dMassSetBoxTotal=Module["_dMassSetBoxTotal"]=(a0,a1,a2,a3,a4)=>(_dMassSetBoxTotal=Module["_dMassSetBoxTotal"]=wasmExports["dMassSetBoxTotal"])(a0,a1,a2,a3,a4);var _dMassTranslate=Module["_dMassTranslate"]=(a0,a1,a2,a3)=>(_dMassTranslate=Module["_dMassTranslate"]=wasmExports["dMassTranslate"])(a0,a1,a2,a3);var _dMassRotate=Module["_dMassRotate"]=(a0,a1)=>(_dMassRotate=Module["_dMassRotate"]=wasmExports["dMassRotate"])(a0,a1);var _dMassAdd=Module["_dMassAdd"]=(a0,a1)=>(_dMassAdd=Module["_dMassAdd"]=wasmExports["dMassAdd"])(a0,a1);var _dBodyCreate=Module["_dBodyCreate"]=a0=>(_dBodyCreate=Module["_dBodyCreate"]=wasmExports["dBodyCreate"])(a0);var _dBodyDestroy=Module["_dBodyDestroy"]=a0=>(_dBodyDestroy=Module["_dBodyDestroy"]=wasmExports["dBodyDestroy"])(a0);var _dBodySetLinearVel=Module["_dBodySetLinearVel"]=(a0,a1,a2,a3)=>(_dBodySetLinearVel=Module["_dBodySetLinearVel"]=wasmExports["dBodySetLinearVel"])(a0,a1,a2,a3);var _dBodySetAngularVel=Module["_dBodySetAngularVel"]=(a0,a1,a2,a3)=>(_dBodySetAngularVel=Module["_dBodySetAngularVel"]=wasmExports["dBodySetAngularVel"])(a0,a1,a2,a3);var _dBodyGetPosition=Module["_dBodyGetPosition"]=a0=>(_dBodyGetPosition=Module["_dBodyGetPosition"]=wasmExports["dBodyGetPosition"])(a0);var _dBodyGetRotation=Module["_dBodyGetRotation"]=a0=>(_dBodyGetRotation=Module["_dBodyGetRotation"]=wasmExports["dBodyGetRotation"])(a0);var _dBodyGetAngularVel=Module["_dBodyGetAngularVel"]=a0=>(_dBodyGetAngularVel=Module["_dBodyGetAngularVel"]=wasmExports["dBodyGetAngularVel"])(a0);var _dBodySetMass=Module["_dBodySetMass"]=(a0,a1)=>(_dBodySetMass=Module["_dBodySetMass"]=wasmExports["dBodySetMass"])(a0,a1);var _dBodyGetMass=Module["_dBodyGetMass"]=(a0,a1)=>(_dBodyGetMass=Module["_dBodyGetMass"]=wasmExports["dBodyGetMass"])(a0,a1);var _dBodyAddRelForce=Module["_dBodyAddRelForce"]=(a0,a1,a2,a3)=>(_dBodyAddRelForce=Module["_dBodyAddRelForce"]=wasmExports["dBodyAddRelForce"])(a0,a1,a2,a3);var _dBodyAddRelTorque=Module["_dBodyAddRelTorque"]=(a0,a1,a2,a3)=>(_dBodyAddRelTorque=Module["_dBodyAddRelTorque"]=wasmExports["dBodyAddRelTorque"])(a0,a1,a2,a3);var _dBodyAddForceAtPos=Module["_dBodyAddForceAtPos"]=(a0,a1,a2,a3,a4,a5,a6)=>(_dBodyAddForceAtPos=Module["_dBodyAddForceAtPos"]=wasmExports["dBodyAddForceAtPos"])(a0,a1,a2,a3,a4,a5,a6);var _dBodyAddForceAtRelPos=Module["_dBodyAddForceAtRelPos"]=(a0,a1,a2,a3,a4,a5,a6)=>(_dBodyAddForceAtRelPos=Module["_dBodyAddForceAtRelPos"]=wasmExports["dBodyAddForceAtRelPos"])(a0,a1,a2,a3,a4,a5,a6);var _dBodyAddRelForceAtPos=Module["_dBodyAddRelForceAtPos"]=(a0,a1,a2,a3,a4,a5,a6)=>(_dBodyAddRelForceAtPos=Module["_dBodyAddRelForceAtPos"]=wasmExports["dBodyAddRelForceAtPos"])(a0,a1,a2,a3,a4,a5,a6);var _dBodyAddRelForceAtRelPos=Module["_dBodyAddRelForceAtRelPos"]=(a0,a1,a2,a3,a4,a5,a6)=>(_dBodyAddRelForceAtRelPos=Module["_dBodyAddRelForceAtRelPos"]=wasmExports["dBodyAddRelForceAtRelPos"])(a0,a1,a2,a3,a4,a5,a6);var _dBodyGetForce=Module["_dBodyGetForce"]=a0=>(_dBodyGetForce=Module["_dBodyGetForce"]=wasmExports["dBodyGetForce"])(a0);var _dBodyGetTorque=Module["_dBodyGetTorque"]=a0=>(_dBodyGetTorque=Module["_dBodyGetTorque"]=wasmExports["dBodyGetTorque"])(a0);var _dBodyGetRelPointPos=Module["_dBodyGetRelPointPos"]=(a0,a1,a2,a3,a4)=>(_dBodyGetRelPointPos=Module["_dBodyGetRelPointPos"]=wasmExports["dBodyGetRelPointPos"])(a0,a1,a2,a3,a4);var _dBodyGetRelPointVel=Module["_dBodyGetRelPointVel"]=(a0,a1,a2,a3,a4)=>(_dBodyGetRelPointVel=Module["_dBodyGetRelPointVel"]=wasmExports["dBodyGetRelPointVel"])(a0,a1,a2,a3,a4);var _dBodyGetNumJoints=Module["_dBodyGetNumJoints"]=a0=>(_dBodyGetNumJoints=Module["_dBodyGetNumJoints"]=wasmExports["dBodyGetNumJoints"])(a0);var _dBodyGetJoint=Module["_dBodyGetJoint"]=(a0,a1)=>(_dBodyGetJoint=Module["_dBodyGetJoint"]=wasmExports["dBodyGetJoint"])(a0,a1);var _dBodyEnable=Module["_dBodyEnable"]=a0=>(_dBodyEnable=Module["_dBodyEnable"]=wasmExports["dBodyEnable"])(a0);var _dBodyDisable=Module["_dBodyDisable"]=a0=>(_dBodyDisable=Module["_dBodyDisable"]=wasmExports["dBodyDisable"])(a0);var _dBodyIsEnabled=Module["_dBodyIsEnabled"]=a0=>(_dBodyIsEnabled=Module["_dBodyIsEnabled"]=wasmExports["dBodyIsEnabled"])(a0);var _dJointCreateBall=Module["_dJointCreateBall"]=(a0,a1)=>(_dJointCreateBall=Module["_dJointCreateBall"]=wasmExports["dJointCreateBall"])(a0,a1);var _dJointCreateHinge=Module["_dJointCreateHinge"]=(a0,a1)=>(_dJointCreateHinge=Module["_dJointCreateHinge"]=wasmExports["dJointCreateHinge"])(a0,a1);var _dJointCreateSlider=Module["_dJointCreateSlider"]=(a0,a1)=>(_dJointCreateSlider=Module["_dJointCreateSlider"]=wasmExports["dJointCreateSlider"])(a0,a1);var _dJointCreateContact=Module["_dJointCreateContact"]=(a0,a1,a2)=>(_dJointCreateContact=Module["_dJointCreateContact"]=wasmExports["dJointCreateContact"])(a0,a1,a2);var _dJointCreateHinge2=Module["_dJointCreateHinge2"]=(a0,a1)=>(_dJointCreateHinge2=Module["_dJointCreateHinge2"]=wasmExports["dJointCreateHinge2"])(a0,a1);var _dJointCreateUniversal=Module["_dJointCreateUniversal"]=(a0,a1)=>(_dJointCreateUniversal=Module["_dJointCreateUniversal"]=wasmExports["dJointCreateUniversal"])(a0,a1);var _dJointCreateFixed=Module["_dJointCreateFixed"]=(a0,a1)=>(_dJointCreateFixed=Module["_dJointCreateFixed"]=wasmExports["dJointCreateFixed"])(a0,a1);var _dJointCreateNull=Module["_dJointCreateNull"]=(a0,a1)=>(_dJointCreateNull=Module["_dJointCreateNull"]=wasmExports["dJointCreateNull"])(a0,a1);var _dJointCreateAMotor=Module["_dJointCreateAMotor"]=(a0,a1)=>(_dJointCreateAMotor=Module["_dJointCreateAMotor"]=wasmExports["dJointCreateAMotor"])(a0,a1);var _dJointDestroy=Module["_dJointDestroy"]=a0=>(_dJointDestroy=Module["_dJointDestroy"]=wasmExports["dJointDestroy"])(a0);var _dJointGroupCreate=Module["_dJointGroupCreate"]=a0=>(_dJointGroupCreate=Module["_dJointGroupCreate"]=wasmExports["dJointGroupCreate"])(a0);var _dJointGroupDestroy=Module["_dJointGroupDestroy"]=a0=>(_dJointGroupDestroy=Module["_dJointGroupDestroy"]=wasmExports["dJointGroupDestroy"])(a0);var _dJointGroupEmpty=Module["_dJointGroupEmpty"]=a0=>(_dJointGroupEmpty=Module["_dJointGroupEmpty"]=wasmExports["dJointGroupEmpty"])(a0);var _dJointAttach=Module["_dJointAttach"]=(a0,a1,a2)=>(_dJointAttach=Module["_dJointAttach"]=wasmExports["dJointAttach"])(a0,a1,a2);var _dJointGetType=Module["_dJointGetType"]=a0=>(_dJointGetType=Module["_dJointGetType"]=wasmExports["dJointGetType"])(a0);var _dJointGetBody=Module["_dJointGetBody"]=(a0,a1)=>(_dJointGetBody=Module["_dJointGetBody"]=wasmExports["dJointGetBody"])(a0,a1);var _dAreConnected=Module["_dAreConnected"]=(a0,a1)=>(_dAreConnected=Module["_dAreConnected"]=wasmExports["dAreConnected"])(a0,a1);var _dWorldCreate=Module["_dWorldCreate"]=()=>(_dWorldCreate=Module["_dWorldCreate"]=wasmExports["dWorldCreate"])();var _dWorldDestroy=Module["_dWorldDestroy"]=a0=>(_dWorldDestroy=Module["_dWorldDestroy"]=wasmExports["dWorldDestroy"])(a0);var _dWorldSetGravity=Module["_dWorldSetGravity"]=(a0,a1,a2,a3)=>(_dWorldSetGravity=Module["_dWorldSetGravity"]=wasmExports["dWorldSetGravity"])(a0,a1,a2,a3);var _dWorldGetGravity=Module["_dWorldGetGravity"]=(a0,a1)=>(_dWorldGetGravity=Module["_dWorldGetGravity"]=wasmExports["dWorldGetGravity"])(a0,a1);var _dWorldSetERP=Module["_dWorldSetERP"]=(a0,a1)=>(_dWorldSetERP=Module["_dWorldSetERP"]=wasmExports["dWorldSetERP"])(a0,a1);var _dWorldGetERP=Module["_dWorldGetERP"]=a0=>(_dWorldGetERP=Module["_dWorldGetERP"]=wasmExports["dWorldGetERP"])(a0);var _dWorldSetCFM=Module["_dWorldSetCFM"]=(a0,a1)=>(_dWorldSetCFM=Module["_dWorldSetCFM"]=wasmExports["dWorldSetCFM"])(a0,a1);var _dWorldGetCFM=Module["_dWorldGetCFM"]=a0=>(_dWorldGetCFM=Module["_dWorldGetCFM"]=wasmExports["dWorldGetCFM"])(a0);var _dWorldStep=Module["_dWorldStep"]=(a0,a1)=>(_dWorldStep=Module["_dWorldStep"]=wasmExports["dWorldStep"])(a0,a1);var _dWorldQuickStep=Module["_dWorldQuickStep"]=(a0,a1)=>(_dWorldQuickStep=Module["_dWorldQuickStep"]=wasmExports["dWorldQuickStep"])(a0,a1);var _dWorldSetQuickStepNumIterations=Module["_dWorldSetQuickStepNumIterations"]=(a0,a1)=>(_dWorldSetQuickStepNumIterations=Module["_dWorldSetQuickStepNumIterations"]=wasmExports["dWorldSetQuickStepNumIterations"])(a0,a1);var _dWorldSetContactMaxCorrectingVel=Module["_dWorldSetContactMaxCorrectingVel"]=(a0,a1)=>(_dWorldSetContactMaxCorrectingVel=Module["_dWorldSetContactMaxCorrectingVel"]=wasmExports["dWorldSetContactMaxCorrectingVel"])(a0,a1);var _dWorldGetContactMaxCorrectingVel=Module["_dWorldGetContactMaxCorrectingVel"]=a0=>(_dWorldGetContactMaxCorrectingVel=Module["_dWorldGetContactMaxCorrectingVel"]=wasmExports["dWorldGetContactMaxCorrectingVel"])(a0);var _dWorldSetContactSurfaceLayer=Module["_dWorldSetContactSurfaceLayer"]=(a0,a1)=>(_dWorldSetContactSurfaceLayer=Module["_dWorldSetContactSurfaceLayer"]=wasmExports["dWorldSetContactSurfaceLayer"])(a0,a1);var _dWorldGetContactSurfaceLayer=Module["_dWorldGetContactSurfaceLayer"]=a0=>(_dWorldGetContactSurfaceLayer=Module["_dWorldGetContactSurfaceLayer"]=wasmExports["dWorldGetContactSurfaceLayer"])(a0);var _dCreatePlane=Module["_dCreatePlane"]=(a0,a1,a2,a3,a4)=>(_dCreatePlane=Module["_dCreatePlane"]=wasmExports["dCreatePlane"])(a0,a1,a2,a3,a4);var _dGeomPlaneSetParams=Module["_dGeomPlaneSetParams"]=(a0,a1,a2,a3,a4)=>(_dGeomPlaneSetParams=Module["_dGeomPlaneSetParams"]=wasmExports["dGeomPlaneSetParams"])(a0,a1,a2,a3,a4);var _dRFromAxisAndAngle=Module["_dRFromAxisAndAngle"]=(a0,a1,a2,a3,a4)=>(_dRFromAxisAndAngle=Module["_dRFromAxisAndAngle"]=wasmExports["dRFromAxisAndAngle"])(a0,a1,a2,a3,a4);var _dQFromAxisAndAngle=Module["_dQFromAxisAndAngle"]=(a0,a1,a2,a3,a4)=>(_dQFromAxisAndAngle=Module["_dQFromAxisAndAngle"]=wasmExports["dQFromAxisAndAngle"])(a0,a1,a2,a3,a4);var _dRFromEulerAngles=Module["_dRFromEulerAngles"]=(a0,a1,a2,a3)=>(_dRFromEulerAngles=Module["_dRFromEulerAngles"]=wasmExports["dRFromEulerAngles"])(a0,a1,a2,a3);var _dQSetIdentity=Module["_dQSetIdentity"]=a0=>(_dQSetIdentity=Module["_dQSetIdentity"]=wasmExports["dQSetIdentity"])(a0);var _dCreateSphere=Module["_dCreateSphere"]=(a0,a1)=>(_dCreateSphere=Module["_dCreateSphere"]=wasmExports["dCreateSphere"])(a0,a1);var _dGeomSphereSetRadius=Module["_dGeomSphereSetRadius"]=(a0,a1)=>(_dGeomSphereSetRadius=Module["_dGeomSphereSetRadius"]=wasmExports["dGeomSphereSetRadius"])(a0,a1);var ___errno_location=()=>(___errno_location=wasmExports["__errno_location"])();var _setThrew=(a0,a1)=>(_setThrew=wasmExports["setThrew"])(a0,a1);var stackSave=()=>(stackSave=wasmExports["stackSave"])();var stackRestore=a0=>(stackRestore=wasmExports["stackRestore"])(a0);var stackAlloc=a0=>(stackAlloc=wasmExports["stackAlloc"])(a0);var dynCall_jiji=Module["dynCall_jiji"]=(a0,a1,a2,a3,a4)=>(dynCall_jiji=Module["dynCall_jiji"]=wasmExports["dynCall_jiji"])(a0,a1,a2,a3,a4);function intArrayFromBase64(s){if(typeof ENVIRONMENT_IS_NODE!="undefined"&&ENVIRONMENT_IS_NODE){var buf=Buffer.from(s,"base64");return new Uint8Array(buf.buffer,buf.byteOffset,buf.length)}try{var decoded=atob(s);var bytes=new Uint8Array(decoded.length);for(var i=0;i0){return}preRun();if(runDependencies>0){return}function doRun(){if(calledRun)return;calledRun=true;Module["calledRun"]=true;if(ABORT)return;initRuntime();if(Module["onRuntimeInitialized"])Module["onRuntimeInitialized"]();postRun()}if(Module["setStatus"]){Module["setStatus"]("Running...");setTimeout(function(){setTimeout(function(){Module["setStatus"]("")},1);doRun()},1)}else{doRun()}}if(Module["preInit"]){if(typeof Module["preInit"]=="function")Module["preInit"]=[Module["preInit"]];while(Module["preInit"].length>0){Module["preInit"].pop()()}}run();var _resolve;var ODE={ready:false,readyPromise:new Promise(function(resolve){_resolve=resolve})};addOnPostRun(function(){var javascriptHeap={};var vec4=Module._malloc(4*4);var mat3=Module._malloc(4*3*4);var mass=Module._malloc((1+4+4*3)*4);var vec6=Module._malloc(6*4);function getVec6(){var mat=new Array(6);for(var i=0;i<6;i++)mat[i]=Module.getValue(vec6+i*4,"float");return mat}var sizeOfRotation=4*3*4;var dRSetIdentity=Module.cwrap("dRSetIdentity",null,["number"]);var dRFromAxisAndAngle=Module.cwrap("dRFromAxisAndAngle",null,["number","number","number","number","number"]);var dRFromEulerAngles=Module.cwrap("dRFromEulerAngles",null,["number","number","number","number"]);var dRFrom2Axes=Module.cwrap("dRFrom2Axes",null,["number","number","number","number","number","number","number"]);ODE.Rotation=function(){var pointer=arguments[0]||Module._malloc(sizeOfRotation);if(!javascriptHeap[pointer]){javascriptHeap[pointer]=this}this.getPointer=function(){return pointer};this.setIdentity=function(){dRSetIdentity(pointer);return this};this.setArray=function(mat){for(var i=0;i<12;i++)Module.setValue(pointer+i*4,mat[i],"float");return this};this.getArray=function(){return Module.HEAPF32.slice(pointer/4,pointer/4+12)};this.fromAxisAndAngle=function(ax,ay,az,angle){dRFromAxisAndAngle(pointer,ax,ay,az,angle);return this};this.fromEulerAngles=function(phi,theta,psi){dRFromEulerAngles(pointer,phi,theta,psi);return this}};var sizeOfQuaternion=4*4;var dQSetIdentity=Module.cwrap("dQSetIdentity",null,["number"]);var dQFromAxisAndAngle=Module.cwrap("dQFromAxisAndAngle",null,["number","number","number","number","number"]);ODE.Quaternion=function(){var pointer=arguments[0]||Module._malloc(sizeOfQuaternion);if(!javascriptHeap[pointer]){javascriptHeap[pointer]=this}this.getPointer=function(){return pointer};this.setIdentity=function(){dQSetIdentity(pointer);return this};this.setArray=function(quat){for(var i=0;i<4;i++)Module.setValue(pointer+i*4,quat[i],"float");return this};this.getArray=function(geom){return Module.HEAPF32.slice(pointer/4,pointer/4+4)};this.fromAxisAndAngle=function(ax,ay,az,angle){dQFromAxisAndAngle(pointer,ax,ay,az,angle);return this}};var sizeOfMass=(1+4+4*3)*4;var dMassSetZero=Module.cwrap("dMassSetZero",null,["number"]);var dMassSetParameters=Module.cwrap("dMassSetParameters",null,["number","number","number","number","number","number","number","number","number","number","number"]);var dMassSetSphere=Module.cwrap("dMassSetSphere",null,["number","number","number"]);var dMassSetSphereTotal=Module.cwrap("dMassSetSphereTotal",null,["number","number","number"]);var dMassSetCapsule=Module.cwrap("dMassSetCapsule",null,["number","number","number","number","number"]);var dMassSetCapsuleTotal=Module.cwrap("dMassSetCapsuleTotal",null,["number","number","number","number","number"]);var dMassSetCylinder=Module.cwrap("dMassSetCylinder",null,["number","number","number","number","number"]);var dMassSetCylinderTotal=Module.cwrap("dMassSetCylinderTotal",null,["number","number","number","number","number"]);var dMassSetBox=Module.cwrap("dMassSetBox",null,["number","number","number","number","number"]);var dMassSetBoxTotal=Module.cwrap("dMassSetBoxTotal",null,["number","number","number","number","number"]);var dMassAdjust=Module.cwrap("dMassAdjust",null,["number","number"]);var dMassTranslate=Module.cwrap("dMassTranslate",null,["number","number","number","number"]);var dMassRotate=Module.cwrap("dMassRotate",null,["number","number"]);var dMassAdd=Module.cwrap("dMassAdd",null,["number","number"]);ODE.Mass=function(){var pointer=arguments[0]||Module._malloc(sizeOfMass);this.getPointer=function(){return pointer};this.destroy=function(){return Module._free(pointer)};this.setZero=function(){dMassSetZero(pointer);return this};this.setParameters=function(mass,cgx,cgy,cgz,I11,I22,I33,I12,I13,I23){dMassSetParameters(pointer,mass,cgx,cgy,cgz,I11,I22,I33,I12,I13,I23);return this};this.setSphere=function(density,radius){dMassSetSphere(pointer,density,radius);return this};this.setSphereTotal=function(total_mass,radius){dMassSetSphereTotal(pointer,total_mass,radius);return this};this.setCapsule=function(density,direction,a,b){dMassSetCapsule(pointer,density,direction,a,b);return this};this.setCapsuleTotal=function(total_mass,direction,a,b){dMassSetCapsuleTotal(pointer,total_mass,direction,a,b);return this};this.setCylinder=function(density,direction,a,b){dMassSetCylinder(pointer,density,direction,a,b);return this};this.setCylinderTotal=function(total_mass,direction,a,b){dMassSetCylinderTotal(pointer,total_mass,direction,a,b);return this};this.setBox=function(density,lx,ly,lz){dMassSetBox(pointer,density,lx,ly,lz);return this};this.setBoxTotal=function(total_mass,lx,ly,lz){dMassSetBoxTotal(pointer,total_mass,lx,ly,lz);return this};this.adjust=function(newmass){dMassAdjust(pointer,newmass);return this};this.translate=function(x,y,z){dMassTranslate(pointer,x,y,z);return this};this.rotate=function(rotation){dMassRotate(mass,rotation.getPointer());return this};this.add=function(mass){dMassAdd(pointer,mass.getPointer());return this}};var dJointGroupCreate=Module.cwrap("dJointGroupCreate","number",["number"]);var dJointGroupDestroy=Module.cwrap("dJointGroupDestroy",null,["number"]);var dJointGroupEmpty=Module.cwrap("dJointGroupEmpty",null,["number"]);ODE.Joint={Types:{Unknown:0,Ball:1,Hinge:2,Slider:3,Contact:4,Universal:5,Hinge2:6,Fixed:7,Null:8,AMotor:9,LMotor:10,Plane2D:11},Parameters:{LoStop:0,HiStop:1,Vel:2,FMax:3,FudgeFactor:4,Bounce:5,StopERP:6,StopCFM:7,SuspensionERP:8,SuspensionCFM:9,LoStop2:256+0,HiStop2:256+1,Vel2:256+2,FMax2:256+3,FudgeFactor2:256+4,Bounce2:256+5,StopERP2:256+6,StopCFM2:256+7,SuspensionERP2:256+8,SuspensionCFM2:256+9,LoStop3:512+0,HiStop3:512+1,Vel3:512+2,FMax3:512+3,FudgeFactor3:512+4,Bounce3:512+5,StopERP3:512+6,StopCFM3:512+7,SuspensionERP3:512+8,SuspensionCFM3:512+9},AMotorModes:{User:0,Euler:1},Group:function(max_size){var pointer=dJointGroupCreate(max_size);if(!javascriptHeap[pointer]){javascriptHeap[pointer]=this}this.getPointer=function(){return pointer};this.destroy=function(){dJointDestroy(pointer)};this.empty=function(){dJointGroupEmpty(pointer);return this}}};var dJointCreateBall=Module.cwrap("dJointCreateBall","number",["number","number"]);var dJointCreateHinge=Module.cwrap("dJointCreateHinge","number",["number","number"]);var dJointCreateSlider=Module.cwrap("dJointCreateSlider","number",["number","number"]);var dJointCreateContact=Module.cwrap("dJointCreateContact","number",["number","number","number"]);var dJointCreateUniversal=Module.cwrap("dJointCreateUniversal","number",["number","number"]);var dJointCreateHinge2=Module.cwrap("dJointCreateHinge2","number",["number","number"]);var dJointCreateFixed=Module.cwrap("dJointCreateFixed","number",["number","number"]);var dJointCreateNull=Module.cwrap("dJointCreateNull","number",["number","number"]);var dJointCreateAMotor=Module.cwrap("dJointCreateAMotor","number",["number","number"]);var dJointDestroy=Module.cwrap("dJointDestroy",null,["number"]);var dJointAttach=Module.cwrap("dJointAttach",null,["number","number","number"]);var dJointGetType=Module.cwrap("dJointGetType","number",["number"]);var dJointGetBody=Module.cwrap("dJointGetBody","number",["number","number"]);var dJointSetBallAnchor=Module.cwrap("dJointSetBallAnchor",null,["number","number","number","number"]);var dJointGetBallAnchor=Module.cwrap("dJointGetBallAnchor",null,["number","number"]);var dJointSetHingeAnchor=Module.cwrap("dJointSetHingeAnchor",null,["number","number","number","number"]);var dJointGetHingeAnchor=Module.cwrap("dJointGetHingeAnchor",null,["number","number"]);var dJointSetHingeAxis=Module.cwrap("dJointSetHingeAxis",null,["number","number","number","number"]);var dJointGetHingeAxis=Module.cwrap("dJointGetHingeAxis",null,["number","number"]);var dJointSetHingeParam=Module.cwrap("dJointSetHingeParam",null,["number","number","number"]);var dJointGetHingeParam=Module.cwrap("dJointGetHingeParam","number",["number","number"]);var dJointGetHingeAngle=Module.cwrap("dJointGetHingeAngle","number",["number"]);var dJointGetHingeAngleRate=Module.cwrap("dJointGetHingeAngleRate","number",["number"]);var dJointSetSliderAxis=Module.cwrap("dJointSetSliderAxis",null,["number","number","number","number"]);var dJointGetSliderAxis=Module.cwrap("dJointGetSliderAxis",null,["number","number"]);var dJointSetSliderParam=Module.cwrap("dJointSetSliderParam",null,["number","number","number"]);var dJointGetSliderParam=Module.cwrap("dJointGetSliderParam","number",["number","number"]);var dJointGetSliderPosition=Module.cwrap("dJointGetSliderPosition","number",["number"]);var dJointGetSliderPositionRate=Module.cwrap("dJointGetSliderPositionRate","number",["number"]);var dJointSetUniversalAnchor=Module.cwrap("dJointSetUniversalAnchor",null,["number","number","number","number"]);var dJointSetUniversalAxis1=Module.cwrap("dJointSetUniversalAxis1",null,["number","number","number","number"]);var dJointSetUniversalAxis2=Module.cwrap("dJointSetUniversalAxis2",null,["number","number","number","number"]);var dJointSetUniversalParam=Module.cwrap("dJointSetUniversalParam",null,["number","number","number"]);var dJointGetUniversalAnchor=Module.cwrap("dJointGetUniversalAnchor",null,["number","number"]);var dJointGetUniversalAnchor2=Module.cwrap("dJointGetUniversalAnchor2",null,["number","number"]);var dJointGetUniversalAxis1=Module.cwrap("dJointGetUniversalAxis1",null,["number","number"]);var dJointGetUniversalAxis2=Module.cwrap("dJointGetUniversalAxis2",null,["number","number"]);var dJointGetUniversalParam=Module.cwrap("dJointGetUniversalParam","number",["number","number"]);var dJointGetUniversalAngle1=Module.cwrap("dJointGetUniversalAngle1","number",["number"]);var dJointGetUniversalAngle2=Module.cwrap("dJointGetUniversalAngle2","number",["number"]);var dJointGetUniversalAngle1Rate=Module.cwrap("dJointGetUniversalAngle1Rate","number",["number"]);var dJointGetUniversalAngle2Rate=Module.cwrap("dJointGetUniversalAngle2Rate","number",["number"]);var dJointSetHinge2Anchor=Module.cwrap("dJointSetHinge2Anchor",null,["number","number","number","number"]);var dJointGetHinge2Anchor=Module.cwrap("dJointGetHinge2Anchor",null,["number","number"]);var dJointSetHinge2Axis1=Module.cwrap("dJointSetHinge2Axis1",null,["number","number","number","number"]);var dJointSetHinge2Axis2=Module.cwrap("dJointSetHinge2Axis2",null,["number","number","number","number"]);var dJointGetHinge2Axis1=Module.cwrap("dJointGetHinge2Axis1",null,["number","number"]);var dJointGetHinge2Axis2=Module.cwrap("dJointGetHinge2Axis2",null,["number","number"]);var dJointSetHinge2Param=Module.cwrap("dJointSetHinge2Param",null,["number","number","number"]);var dJointGetHinge2Param=Module.cwrap("dJointGetHinge2Param","number",["number","number"]);var dJointGetHinge2Angle1=Module.cwrap("dJointGetHinge2Angle1","number",["number"]);var dJointGetHinge2Angle1Rate=Module.cwrap("dJointGetHinge2Angle1Rate","number",["number"]);var dJointGetHinge2Angle2Rate=Module.cwrap("dJointGetHinge2Angle2Rate","number",["number"]);var dJointSetAMotorParam=Module.cwrap("dJointSetAMotorParam",null,["number","number","number"]);var dJointGetAMotorParam=Module.cwrap("dJointGetAMotorParam","number",["number","number"]);var dJointSetAMotorMode=Module.cwrap("dJointSetAMotorMode",null,["number","number"]);var dJointGetAMotorMode=Module.cwrap("dJointGetAMotorMode","number",["number"]);var dJointSetAMotorNumAxes=Module.cwrap("dJointSetAMotorNumAxes",null,["number","number"]);var dJointGetAMotorNumAxes=Module.cwrap("dJointGetAMotorNumAxes","number",["number"]);var dJointSetAMotorAxis=Module.cwrap("dJointSetAMotorAxis",null,["number","number","number","number","number","number"]);var dJointGetAMotorAxis=Module.cwrap("dJointGetAMotorAxis",null,["number","number","number"]);var dJointGetAMotorAxisRel=Module.cwrap("dJointGetAMotorAxisRel","number",["number","number"]);var dJointSetAMotorAngle=Module.cwrap("dJointSetAMotorAngle",null,["number","number","number"]);var dJointGetAMotorAngle=Module.cwrap("dJointGetAMotorAngle","number",["number","number"]);var dJointGetAMotorAngleRate=Module.cwrap("dJointGetAMotorAngleRate","number",["number","number"]);var dJointSetFixed=Module.cwrap("dJointSetFixed",null,["number"]);function Joint(pointer){if(!javascriptHeap[pointer]){javascriptHeap[pointer]=this}var type=dJointGetType(pointer);this.getPointer=function(){return pointer};this.destroy=function(){dJointDestroy(pointer)};Object.defineProperty(this,"type",{value:type,writable:false,enumerable:true,configurable:false});this.attach=function(b1,b2){dJointAttach(pointer,b1?b1.getPointer():0,b2?b2.getPointer():0);return this};this.getBody=function(idx){var b=dJointGetBody(pointer,idx);return b?!javascriptHeap[b]?new Body(b):javascriptHeap[b]:null};this.setFixed=function(){dJointSetFixed(pointer);return this};switch(type){case ODE.Joint.Types.Ball:this.setAnchor=function(x,y,z){dJointSetBallAnchor(pointer,x,y,z);return this};this.getAnchor=function(){dJointGetBallAnchor(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};break;case ODE.Joint.Types.Hinge:this.setAnchor=function(x,y,z){dJointSetHingeAnchor(pointer,x,y,z);return this};this.getAnchor=function(){dJointGetHingeAnchor(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.setAxis=function(x,y,z){dJointSetHingeAxis(pointer,x,y,z);return this};this.getAxis=function(){dJointGetHingeAxis(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.setParam=function(parameter,val){dJointSetHingeParam(pointer,parameter,val);return this};this.getParam=function(parameter){return dJointGetHingeParam(pointer,parameter)};this.getAngle=function(){return dJointGetHingeAngle(pointer)};this.getAngleRate=function(){return dJointGetHingeAngleRate(pointer)};break;case ODE.Joint.Types.Slider:this.setAxis=function(x,y,z){dJointSetSliderAxis(pointer,x,y,z);return this};this.getAxis=function(){dJointGetSliderAxis(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.setParam=function(parameter,val){dJointSetSliderParam(pointer,parameter,val);return this};this.getParam=function(parameter){return dJointGetSliderParam(pointer,parameter)};this.getPosition=function(){return dJointGetSliderPosition(pointer)};this.getPositionRate=function(){return dJointGetSliderPositionRate(pointer)};break;case ODE.Joint.Types.Universal:this.setAnchor=function(x,y,z){dJointSetUniversalAnchor(pointer,x,y,z);return this};this.getAnchor=function(){dJointGetUniversalAnchor(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.getAnchor2=function(){dJointGetUniversalAnchor2(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.setAxis1=function(x,y,z){dJointSetUniversalAxis1(pointer,x,y,z);return this};this.getAxis1=function(){dJointGetUniversalAxis1(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.setAxis2=function(x,y,z){dJointSetUniversalAxis2(pointer,x,y,z);return this};this.getAxis2=function(){dJointGetUniversalAxis2(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.setParam=function(parameter,val){dJointSetUniversalParam(pointer,parameter,val);return this};this.getParam=function(parameter){return dJointGetUniversalParam(pointer,parameter)};this.getAngle1=function(){return dJointGetUniversalAngle1(pointer)};this.getAngle2=function(){return dJointGetUniversalAngle2(pointer)};this.getAngleRate1=function(){return dJointGetUniversalAngleRate1(pointer)};this.getAngleRate2=function(){return dJointGetUniversalAngleRate2(pointer)};break;case ODE.Joint.Types.Hinge2:this.setAnchor=function(x,y,z){dJointSetHinge2Anchor(pointer,x,y,z);return this};this.getAnchor=function(){dJointGetHinge2Anchor(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.setAxis1=function(x,y,z){dJointSetHinge2Axis1(pointer,x,y,z);return this};this.getAxis1=function(){dJointGetHinge2Axis1(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.setAxis2=function(x,y,z){dJointSetHinge2Axis2(pointer,x,y,z);return this};this.getAxis2=function(){dJointGetHinge2Axis2(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.setParam=function(parameter,val){dJointSetHinge2Param(pointer,parameter,val);return this};this.getParam=function(parameter){return dJointGetHinge2Param(pointer,parameter)};this.getAngle1=function(){return dJointGetHinge2Angle1(pointer)};this.getAngle1Rate=function(){return dJointGetHinge2Angle1Rate(pointer)};this.getAngle2Rate=function(){return dJointGetHinge2Angle2Rate(pointer)};break;case ODE.Joint.Types.AMotor:this.setParam=function(parameter,val){dJointSetAMotorParam(pointer,parameter,val);return this};this.getParam=function(parameter){return dJointGetAMotorParam(pointer,parameter)};this.setAMotorMode=function(mode){dJointSetAMotorMode(pointer,mode);return this};this.getAMotorMode=function(){return dJointGetAMotorMode(pointer)};this.setNumAxes=function(num){dJointSetAMotorNumAxes(pointer,num);return this};this.getNumAxes=function(){return dJointGetAMotorNumAxes(pointer)};this.setAxis=function(anum,rel,x,y,z){dJointSetAMotorAxis(pointer,anum,rel,x,y,z);return this};this.getAxis=function(anum){dJointGetAMotorAxis(pointer,anum,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.getAxisRel=function(anum){return dJointGetAMotorAxisRel(pointer,anum)};this.setAngle=function(anum,angle){dJointSetAMotorAngle(anum,angle);return this};this.getAngle=function(anum){return dJointGetAMotorAngle(pointer,anum)};this.getAngleRate=function(anum){return dJointGetAMotorAngleRate(pointer,anum)};break;default:break}}var sizeOfCantact=104;ODE.Contact=function(){var contact=function(){var pointer=arguments[0]||Module._malloc(sizeOfCantact);this.getPointer=function(){return pointer};this.surface={};Object.defineProperties(this.surface,{mode:{enumerable:true,get:function(){return Module.getValue(pointer,"i32")},set:function(val){Module.setValue(pointer,val,"i32")}},mu:{enumerable:true,get:function(){return Module.getValue(pointer+4,"float")},set:function(val){Module.setValue(pointer+4,val,"float")}},mu2:{enumerable:true,get:function(){return Module.getValue(pointer+8,"float")},set:function(val){Module.setValue(pointer+8,val,"float")}},bounce:{enumerable:true,get:function(){return Module.getValue(pointer+12,"float")},set:function(val){Module.setValue(pointer+12,val,"float")}},bounce_vel:{enumerable:true,get:function(){return Module.getValue(pointer+16,"float")},set:function(val){Module.setValue(pointer+16,val,"float")}},soft_erp:{enumerable:true,get:function(){return Module.getValue(pointer+20,"float")},set:function(val){Module.setValue(pointer+20,val,"float")}},soft_cfm:{enumerable:true,get:function(){return Module.getValue(pointer+24,"float")},set:function(val){Module.setValue(pointer+24,val,"float")}},motion1:{enumerable:true,get:function(){return Module.getValue(pointer+28,"float")},set:function(val){Module.setValue(pointer+24,val,"float")}},motion2:{enumerable:true,get:function(){return Module.getValue(pointer+32,"float")},set:function(val){Module.setValue(pointer+32,val,"float")}},slip1:{enumerable:true,get:function(){return Module.getValue(pointer+36,"float")},set:function(val){Module.setValue(pointer+36,val,"float")}},slip2:{enumerable:true,get:function(){return Module.getValue(pointer+40,"float")},set:function(val){Module.setValue(pointer+40,val,"float")}}});this.geom={};Object.defineProperties(this.geom,{pos:{enumerable:true,get:function(){return[Module.getValue(pointer+44,"float"),Module.getValue(vec4+48,"float"),Module.getValue(vec4+52,"float")]},set:function(val){Module.setValue(pointer+44,val[0],"float"),Module.setValue(pointer+48,val[1],"float"),Module.setValue(pointer+52,val[2],"float")}},normal:{enumerable:true,get:function(){return[Module.getValue(pointer+60,"float"),Module.getValue(vec4+64,"float"),Module.getValue(vec4+68,"float")]},set:function(val){Module.setValue(pointer+60,val[0],"float"),Module.setValue(pointer+64,val[1],"float"),Module.setValue(pointer+68,val[2],"float")}},depth:{enumerable:true,get:function(){return Module.getValue(pointer+76,"float")},set:function(val){Module.setValue(pointer+76,val,"float")}},g1:{enumerable:true,get:function(){var p=Module.getValue(pointer+80,"i32");return p?!javascriptHeap[p]?new Geom(p):javascriptHeap[p]:null},set:function(val){Module.setValue(pointer+80,val.getPointer(),"i32")}},g2:{enumerable:true,get:function(){var p=Module.getValue(pointer+84,"i32");return p?!javascriptHeap[p]?new Geom(p):javascriptHeap[p]:null},set:function(val){Module.setValue(pointer+84,val.getPointer(),"i32")}}});Object.defineProperty(this,"fdir1",{enumerable:true,get:function(){return[Module.getValue(pointer+88,"float"),Module.getValue(vec4+92,"float"),Module.getValue(vec4+96,"float")]},set:function(val){Module.setValue(pointer+88,val[0],"float"),Module.setValue(pointer+92,val[1],"float"),Module.setValue(pointer+96,val[2],"float")}})};contact.Mode={Mu2:1,FDir1:2,Bounce:4,SoftERP:8,SoftCFM:16,Motion1:32,Motion2:64,Slip1:128,Slip2:256,Approx0:0,Approx1_1:4096,Approx1_2:8192,Approx1:12288};return contact}();var dBodyCreate=Module.cwrap("dBodyCreate","number",["number"]);var dBodyDestroy=Module.cwrap("dBodyDestroy",null,["number"]);var dBodySetPosition=Module.cwrap("dBodySetPosition",null,["number","number","number","number"]);var dBodySetLinearVel=Module.cwrap("dBodySetLinearVel",null,["number","number","number","number"]);var dBodySetAngularVel=Module.cwrap("dBodySetAngularVel",null,["number","number","number","number"]);var dBodySetRotation=Module.cwrap("dBodySetRotation",null,["number","number"]);var dBodySetQuaternion=Module.cwrap("dBodySetQuaternion",null,["number","number"]);var dBodyGetPosition=Module.cwrap("dBodyGetPosition","number",["number"]);var dBodyGetRotation=Module.cwrap("dBodyGetRotation","number",["number"]);var dBodyGetQuaternion=Module.cwrap("dBodyGetQuaternion","number",["number"]);var dBodyGetLinearVel=Module.cwrap("dBodyGetLinearVel","number",["number"]);var dBodyGetAngularVel=Module.cwrap("dBodyGetAngularVel","number",["number"]);var dBodySetMass=Module.cwrap("dBodySetMass",null,["number","number"]);var dBodyGetMass=Module.cwrap("dBodyGetMass",null,["number","number"]);var dBodyAddForce=Module.cwrap("dBodyAddForce",null,["number","number","number","number"]);var dBodyGetForce=Module.cwrap("dBodyGetForce","number",["number"]);var dBodyAddTorque=Module.cwrap("dBodyAddTorque",null,["number","number","number","number"]);var dBodyGetTorque=Module.cwrap("dBodyGetTorque","number",["number"]);var dBodyAddRelForce=Module.cwrap("dBodyAddRelForce",null,["number","number","number","number"]);var dBodyAddRelTorque=Module.cwrap("dBodyAddRelTorque",null,["number","number","number","number"]);var dBodyAddForceAtPos=Module.cwrap("dBodyAddForceAtPos",null,["number","number","number","number","number","number","number"]);var dBodyAddForceAtRelPos=Module.cwrap("dBodyAddForceAtRelPos",null,["number","number","number","number","number","number","number"]);var dBodyAddRelForceAtPos=Module.cwrap("dBodyAddRelForceAtPos",null,["number","number","number","number","number","number","number"]);var dBodyAddRelForceAtRelPos=Module.cwrap("dBodyAddRelForceAtRelPos",null,["number","number","number","number","number","number","number"]);var dBodyGetRelPointPos=Module.cwrap("dBodyGetRelPointPos",null,["number","number","number","number","number"]);var dBodyGetRelPointVel=Module.cwrap("dBodyGetRelPointVel",null,["number","number","number","number","number"]);var dBodyEnable=Module.cwrap("dBodyEnable",null,["number"]);var dBodyDisable=Module.cwrap("dBodyDisable",null,["number"]);var dBodyIsEnabled=Module.cwrap("dBodyIsEnabled","number",["number"]);var dBodyGetNumJoints=Module.cwrap("dBodyGetNumJoints","number",["number"]);var dBodyGetJoint=Module.cwrap("dBodyGetJoint","number",["number","number"]);var dAreConnected=Module.cwrap("dAreConnected","number",["number","number"]);function Body(pointer){if(!javascriptHeap[pointer]){javascriptHeap[pointer]=this}this.getPointer=function(){return pointer};this.destroy=function(){dBodyDestroy(pointer)};this.setPosition=function(x,y,z){dBodySetPosition(pointer,x,y,z);return this};this.setRotation=function(rotation){dBodySetRotation(pointer,rotation.getPointer());return this};this.setQuaternion=function(quat){dBodySetQuaternion(pointer,quat.getPointer());return this};this.setLinearVel=function(x,y,z){dBodySetLinearVel(pointer,x,y,z);return this};this.setAngularVel=function(x,y,z){dBodySetAngularVel(pointer,x,y,z);return this};this.getPosition=function(){var p=dBodyGetPosition(pointer);return Module.HEAPF32.slice(p/4,p/4+3)};this.getRotation=function(){var p=dBodyGetRotation(pointer);return p?!javascriptHeap[p]?new ODE.Rotation(p):javascriptHeap[p]:null};this.getQuaternion=function(){var p=dBodyGetQuaternion(pointer);return p?!javascriptHeap[p]?new ODE.Quaternion(p):javascriptHeap[p]:null};this.getLinearVel=function(){var p=dBodyGetLinearVel(pointer);return Module.HEAPF32.slice(p/4,p/4+3)};this.getAngularVel=function(){var p=dBodyGetAngularVel(pointer);return Module.HEAPF32.slice(p/4,p/4+3)};this.setMass=function(mass){dBodySetMass(pointer,mass.getPointer());return this};this.getMass=function(){var pmass=Module._malloc(sizeOfMass);dBodyGetMass(pointer,pmass);return new ODE.Mass(pmass)};this.addForce=function(fx,fy,fz){dBodyAddForce(pointer,fx,fy,fz);return this};this.addTorque=function(fx,fy,fz){dBodyAddTorque(pointer,fx,fy,fz);return this};this.addRelForce=function(fx,fy,fz){dBodyAddRelForce(pointer,fx,fy,fz);return this};this.addRelTorque=function(fx,fy,fz){dBodyAddRelTorque(pointer,fx,fy,fz);return this};this.addForceAtPos=function(fx,fy,fz,px,py,pz){dBodyAddForceAtPos(pointer,fx,fy,fz,px,py,pz);return this};this.addForceAtRelPos=function(fx,fy,fz,px,py,pz){dBodyAddForceAtRelPos(pointer,fx,fy,fz,px,py,pz);return this};this.addRelForceAtPos=function(fx,fy,fz,px,py,pz){dBodyAddRelForceAtPos(pointer,fx,fy,fz,px,py,pz);return this};this.addRelForceAtRelPos=function(fx,fy,fz,px,py,pz){dBodyAddRelForceAtRelPos(pointer,fx,fy,fz,px,py,pz);return this};this.getForce=function(){var p=dBodyGetForce(pointer);return Module.HEAPF32.slice(p/4,p/4+3)};this.getTorque=function(){var p=dBodyGetTorque(pointer);return Module.HEAPF32.slice(p/4,p/4+3)};this.getRelPointPos=function(px,py,pz){dBodyGetRelPointPos(pointer,px,py,pz,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.getRelPointVel=function(px,py,pz){dBodyGetRelPointVel(pointer,px,py,pz,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};this.enable=function(){dBodyEnable(pointer);return this};this.disable=function(){dBodyDisable(pointer);return this};this.isEnabled=function(){return dBodyIsEnabled(pointer)};this.getNumJoints=function(){return dBodyGetNumJoints(pointer)};this.getJoint=function(idx){var j=dBodyGetJoint(pointer,idx);return j?!javascriptHeap[j]?new Joint(j):javascriptHeap[b]:null}}ODE.Body={areConnected:function(b1,b2){return dAreConnected(b1?b1.getPointer():0,b2?b2.getPointer():0)}};var dWorldCreate=Module.cwrap("dWorldCreate","number",[]);var dWorldDestroy=Module.cwrap("dWorldDestroy",null,["number"]);var dWorldSetGravity=Module.cwrap("dWorldSetGravity",null,["number","number","number","number"]);var dWorldGetGravity=Module.cwrap("dWorldGetGravity",null,["number","number"]);var dWorldSetERP=Module.cwrap("dWorldSetERP",null,["number","number"]);var dWorldGetERP=Module.cwrap("dWorldGetERP","number",["number"]);var dWorldSetCFM=Module.cwrap("dWorldSetCFM",null,["number","number"]);var dWorldGetCFM=Module.cwrap("dWorldGetCFM","number",["number"]);var dWorldSetContactMaxCorrectingVel=Module.cwrap("dWorldSetContactMaxCorrectingVel",null,["number","number"]);var dWorldGetContactMaxCorrectingVel=Module.cwrap("dWorldGetContactMaxCorrectingVel","number",["number"]);var dWorldSetContactSurfaceLayer=Module.cwrap("dWorldSetContactSurfaceLayer",null,["number","number"]);var dWorldGetContactSurfaceLayer=Module.cwrap("dWorldGetContactSurfaceLayer","number",["number"]);var dWorldStep=Module.cwrap("dWorldStep",null,["number","number"]);var dWorldSetQuickStepNumIterations=Module.cwrap("dWorldSetQuickStepNumIterations",null,["number","number"]);var dWorldQuickStep=Module.cwrap("dWorldQuickStep",null,["number","number"]);ODE.World=function(){var pointer=arguments[0]||dWorldCreate();this.getPointer=function(){return pointer};this.destroy=function(){dWorldDestroy(pointer)};this.setGravity=function(x,y,z){dWorldSetGravity(pointer,x,y,z);return this};this.getGravity=function(){dWorldGetGravity(pointer,vec4);return[Module.getValue(vec4,"float"),Module.getValue(vec4+4,"float"),Module.getValue(vec4+8,"float")]};Object.defineProperties(this,{ERP:{enumerable:true,get:function(){return dWorldGetERP(pointer)},set:function(val){dWorldSetERP(pointer,val)}},CFM:{enumerable:true,get:function(){return dWorldGetCFM(pointer)},set:function(val){dWorldSetCFM(pointer,val)}},ContactMaxCorrectingVel:{enumerable:true,get:function(){return dWorldGetContactMaxCorrectingVel(pointer)},set:function(val){dWorldSetContactMaxCorrectingVel(pointer,val)}},ContactSurfaceLayer:{enumerable:true,get:function(){return dWorldGetContactSurfaceLayer(pointer)},set:function(val){dWorldSetContactSurfaceLayer(pointer,val)}}});this.step=function(stepsize){dWorldStep(pointer,stepsize);return this};this.quickStep=function(stepsize){dWorldQuickStep(pointer,stepsize);return this};this.setQuickStepNumIterations=function(num){dWorldSetQuickStepNumIterations(pointer,num);return this};this.createBody=function(){return new Body(dBodyCreate(pointer))};this.createBallJoint=function(group){return new Joint(dJointCreateBall(pointer,group?group.getPointer():0))};this.createHingeJoint=function(group){return new Joint(dJointCreateHinge(pointer,group?group.getPointer():0))};this.createSliderJoint=function(group){return new Joint(dJointCreateSlider(pointer,group?group.getPointer():0))};this.createContactJoint=function(group,contact){return new Joint(dJointCreateContact(pointer,group?group.getPointer():0,contact.getPointer()))};this.createHinge2Joint=function(group){return new Joint(dJointCreateHinge2(pointer,group?group.getPointer():0))};this.createFixedJoint=function(group){return new Joint(dJointCreateFixed(pointer,group?group.getPointer():0))};this.createNullJoint=function(group){return new Joint(dJointCreateNull(pointer,group?group.getPointer():0))};this.createAMotorJoint=function(group){return new Joint(dJointCreateAMotor(pointer,group?group.getPointer():0))}};var dCreateSphere=Module.cwrap("dCreateSphere","number",["number","number"]);var dCreateBox=Module.cwrap("dCreateBox","number",["number","number","number","number"]);var dCreatePlane=Module.cwrap("dCreatePlane","number",["number","number","number","number","number"]);var dCreateCapsule=Module.cwrap("dCreateCapsule","number",["number","number","number"]);var dCreateCylinder=Module.cwrap("dCreateCylinder","number",["number","number","number"]);var dCreateGeomTransform=Module.cwrap("dCreateGeomTransform","number",["number"]);var dGeomGetClass=Module.cwrap("dGeomGetClass","number",["number"]);var dGeomDestroy=Module.cwrap("dGeomDestroy",null,["number"]);var dGeomSetPosition=Module.cwrap("dGeomSetPosition",null,["number","number","number","number"]);var dGeomSetRotation=Module.cwrap("dGeomSetRotation",null,["number","number"]);var dGeomGetPosition=Module.cwrap("dGeomGetPosition","number",["number"]);var dGeomGetRotation=Module.cwrap("dGeomGetRotation","number",["number"]);var dGeomSetBody=Module.cwrap("dGeomSetBody",null,["number","number"]);var dGeomGetBody=Module.cwrap("dGeomGetBody","number",["number"]);var dGeomGetAABB=Module.cwrap("dGeomGetAABB",null,["number","number"]);var dGeomGetSpaceAABB=Module.cwrap("dGeomGetRotation","number",["number"]);var dGeomSphereSetRadius=Module.cwrap("dGeomSphereSetRadius",null,["number","number"]);var dGeomBoxSetLengths=Module.cwrap("dGeomBoxSetLengths",null,["number","number","number","number"]);var dGeomPlaneSetParams=Module.cwrap("dGeomPlaneSetParams",null,["number","number","number","number","number"]);var dGeomCapsuleSetParams=Module.cwrap("dGeomCapsuleSetParams",null,["number","number","number"]);var dGeomSphereGetRadius=Module.cwrap("dGeomSphereGetRadius","number",["number"]);var dGeomBoxGetLengths=Module.cwrap("dGeomBoxGetLengths",null,["number","number"]);var dGeomPlaneGetParams=Module.cwrap("dGeomPlaneGetParams",null,["number","number"]);var dGeomCapsuleGetParams=Module.cwrap("dGeomCapsuleGetParams",null,["number","number","number"]);var dGeomTransformSetGeom=Module.cwrap("dGeomTransformSetGeom",null,["number","number"]);var dGeomTransformGetGeom=Module.cwrap("dGeomTransformGetGeom","number",["number"]);var dGeomTransformSetCleanup=Module.cwrap("dGeomTransformSetCleanup",null,["number","number"]);var dGeomTransformGetCleanup=Module.cwrap("dGeomTransformGetCleanup","number",["number"]);var dCollide=Module.cwrap("dCollide","number",["number","number","number","number","number"]);ODE.Geom={Types:{Sphere:1,Box:2,Capsule:3,Cylinder:4,Plane:5,Ray:6,Convex:7,Transform:8,TriMesh:9,Heightfield:10},collide:function(g1,g2,MaxContact,contactCB){var contacts=Module._malloc(MaxContact*sizeOfCantact);var n=dCollide(g1?g1.getPointer():0,g2?g2.getPointer():0,MaxContact,contacts+44,sizeOfCantact);for(var i=0;i/dev/null 2>&1; then + export CC="$CC -mtune=native -march=native" + fi + ;; + esac + if [ -n "$WE_HATE_OUR_USERS" ]; then + export CC="$CC -fno-common" + fi + shift + ;; + *) + break + ;; + esac +done +TARGETS="sdl-$debug" +if [ x"`uname`" = x"Darwin" ]; then + export CC="$CC -fno-reorder-blocks" +fi + +if [ $# -gt 0 ] && [ x"$1" = x"" ]; then + # if we give the command make the arg "", it will surely fail (invalid filename), + # so better handle it as an empty client option + BAD_TARGETS=" " + shift +elif [ -n "$1" ]; then + BAD_TARGETS= + TARGETS_SAVE=$TARGETS + TARGETS= + for X in $1; do + case "$X" in + sdl) + TARGETS="$TARGETS sdl-$debug" + ;; + dedicated) + export MAKE="make" + export CC="gcc" + TARGETS="$TARGETS sv-$debug" + ;; + *) + BAD_TARGETS="$BAD_TARGETS $X" + ;; + esac + done + if [ -n "$TARGETS" ]; then # at least a valid client + shift + else # no valid client, let's assume this option is not meant to be a client then + TARGETS=$TARGETS_SAVE + BAD_TARGETS= + fi +fi +if [ -z "$MAKEFLAGS" ]; then + ncpus=`getconf _NPROCESSORS_ONLN 2>/dev/null || getconf NPROCESSORS_ONLN 2>/dev/null || echo 1` + if [ $ncpus -gt 1 ]; then + MAKEFLAGS=-j$ncpus + fi +elif echo $MAKEFLAGS | head -c1 | grep -qv -; then # MAKEFLAGS starts with a single letter option + MAKEFLAGS=-$(echo $MAKEFLAGS) # echo here and above will trim whitespaces +fi +# No cp commands, we want to use static linking instead. +export CC="$CC -I../../../../misc/builddeps/emscripten/d0_blind_id/include" +export CC="$CC -L../../../../misc/builddeps/emscripten/d0_blind_id/lib" +export CC="$CC -Wl,-rpath,../../../../misc/builddeps/emscripten/d0_blind_id/lib" +export CC="$CC -I../../../../misc/builddeps/emscripten/gmp/include" +export CC="$CC -L../../../../misc/builddeps/emscripten/gmp/lib" +export CC="$CC -Wl,-rpath,../../../../misc/builddeps/emscripten/gmp/lib" +MAKEFLAGS="$MAKEFLAGS DP_LINK_CRYPTO=shared DP_LINK_CRYPTO_RIJNDAEL=shared LIB_CRYPTO=../../../../misc/builddeps/emscripten/d0_blind_id/lib/libd0_blind_id.a LIB_CRYPTO+=../../../../misc/builddeps/emscripten/gmp/lib/libgmp.a LIB_CRYPTO_RIJNDAEL=../../../../misc/builddeps/emscripten/d0_blind_id/lib/libd0_rijndael.a" +compiled0=false +;; \ No newline at end of file diff --git a/misc/tools/all/xonotic.subr b/misc/tools/all/xonotic.subr index 0f65ac26..5876ccfa 100644 --- a/misc/tools/all/xonotic.subr +++ b/misc/tools/all/xonotic.subr @@ -22,6 +22,9 @@ case "$cmd" in fi done ;; + compile-emscripten) + misc/tools/all/emscripten.subr $1 + ;; compile) cleand0=false cleandp=false -- 2.39.2