--- /dev/null
+*.la
+*.lo
+*.trs
+.deps
+.libs
+Makefile
+Makefile.in
+.dirstamp
+.gitignore
+.clang-format
+/.vagrant/
+/GPATH
+/GRTAGS
+/GSYMS
+/GTAGS
+/Vagrantfile
+config.h.in
+config.h.in~
+/fplll.pc
+/libfplll-*/
+/fplll/foo
+/fplll/fplll_config.h
+/fplll/llldiff
+/fplll/stamp-h2
+/fplll/*.o
+/fplll/enum/*.o
+/test-driver
+/tests/test_bkz
+/tests/test_lll
+/tests/test_svp
+/tests/*.o
+Makefile
+Makefile.in
+TAGS
+aclocal.m4
+autom4te.cache/
+compile
+config.guess
+config.h
+config.status
+config.sub
+configure
+depcomp
+install-sh
+libtool
+ltmain.sh
+missing
+python/cython_debug
+fplll/fplll
+fplll/fplll_dbg
+fplll/latticegen
+stamp-h1
+/m4/libtool.m4
+/m4/ltoptions.m4
+/m4/ltsugar.m4
+/m4/ltversion.m4
+/m4/lt~obsolete.m4
+/tests/test_nr
+/tests/test_pruner
+/compile_commands.json
+/.clang-tidy
+doc/html/
+/fplll/sieve/*.o
+/fplll/latsieve
+/tests/test_sieve
+/fplll-?.?.?/
--- /dev/null
+sudo: required
+
+dist: trusty
+
+language: cpp
+
+matrix:
+ include:
+ - compiler: gcc
+ env: COMPILER=g++-4.9
+ addons:
+ apt:
+ sources:
+ - ubuntu-toolchain-r-test
+ packages:
+ - g++-4.9
+ - libgmp-dev
+ - libmpfr-dev
+ - libqd-dev
+ - compiler: gcc
+ env: COMPILER=g++-4.8
+ addons:
+ apt:
+ packages:
+ - g++-4.8
+ - libgmp-dev
+ - libmpfr-dev
+ - libqd-dev
+ - compiler: gcc
+ env: COMPILER=g++-5
+ addons:
+ apt:
+ sources:
+ - ubuntu-toolchain-r-test
+ packages:
+ - g++-5
+ - libgmp-dev
+ - libmpfr-dev
+ - libqd-dev
+ - compiler: clang
+ env: COMPILER=clang++
+ addons:
+ apt:
+ packages:
+ - libgmp-dev
+ - libmpfr-dev
+ - libqd-dev
+
+install:
+ - export CXX="$COMPILER"
+ - $CXX --version
+
+before_script:
+ - "./autogen.sh"
+
+script:
+ - "./configure"
+ - make
+ - make check
+ - make distcheck
+
+notifications:
+ on_success: change
+ on_failure: always
+
+deploy:
+ provider: releases
+ file_glob: true
+ skip_cleanup: true
+ api_key:
+ secure: WsT8rFbwkPlsti2VTEsItUgkWyrhL68ybouz5/U0vGhI/KC3xh2CXhzlJes/vKaTli6GI+xLtwLz3gw7hruEGBnQ/bUCpKoljuF087fXjCGs93Vk7V5kPxfWEZ8p4YhuOVi2HVdp9zeiPOW+Nk2UMIjz19Bne2aypOIxcCfyI5c=
+ file: fplll-*.tar.gz
+ on:
+ repo: fplll/fplll
+ tags: true
+ all_branches: true
--- /dev/null
+# Contributing to fplll #
+
+fplll welcomes contributions. We encourage users to fix bugs, improve the documentation, write tests and to enhance the code. We encourage researchers to contribute implementations of their algorithms to fplll. In the following we are trying to give some guidance on how to contribute effectively.
+
+## Communication ##
+
+Communication in the fplll project happens mainly on [GitHub](https://github.com/fplll/fplll/issues) and on our [mailing list](https://groups.google.com/forum/#!forum/fplll-devel).
+
+## Setup ##
+
+### Fork on GitHub ##
+
+Login/signup on GitHub and fork fplll from [https://github.com/fplll/fplll](https://github.com/fplll/fplll).
+
+### Clone your fork locally
+
+Now clone your git repo where my-github-name is your account name on GitHub:
+
+ $ git clone git@github.com:my-github-name/fplll.git
+
+Then run
+
+ $ ./autogen.sh
+ $ ./configure
+ $ make
+ $ make check
+
+as usual.
+
+Note that the verbosity of ``make`` is set to low by default. To enable verbose output by default, use ``./configure --disable-silent-rules``. The verbosity can also be overridden at run time: ``make V=1`` will produce verbose output.
+
+## Reporting Bugs ##
+
+Bug should be filed at [https://github.com/fplll/fplll/issues](https://github.com/fplll/fplll/issues). Alternatively, feel free to contact [https://groups.google.com/forum/#!forum/fplll-devel](https://groups.google.com/forum/#!forum/fplll-devel). The former method is definitely preferred though.
+
+## Setting up topic branches and generating pull requests
+
+While it's handy to provide useful code snippets in an issue, it is better for to submit pull requests.
+
+In Git it is best to isolate each topic or feature into a "topic branch". While individual commits allow you control over how small individual changes are made to the code, branches are a great way to group a set of commits all related to one feature together, or to isolate different efforts when you might be working on multiple topics at the same time.
+
+While it takes some experience to get the right feel about how to break up commits, a topic branch should be limited in scope to a single ``issue`` as submitted to an issue tracker.
+
+Also since GitHub pegs and syncs a pull request to a specific branch, it is the **only** way that you can submit more than one fix at a time. If you submit a pull from your ``master`` branch, you can't make any more commits to your ``master`` branch without those getting added to the pull.
+
+To create a topic branch, its easiest to use the convenient ``-b`` argument to ``git checkout``
+
+ $ git checkout -b fix-broken-thing
+ Switched to a new branch 'fix-broken-thing'
+
+You should use a verbose enough name for your branch so it is clear what it is about. Now you can commit your changes and regularly merge in the upstream develop as described below.
+
+When you are ready to generate a pull request, either for preliminary review, or for consideration of merging into the project you must first push your local topic branch back up to GitHub
+
+ git push origin fix-broken-thing
+
+Now when you go to your fork on GitHub, you will see this branch listed under the "Source" tab where it says "Switch Branches". Go ahead and select your topic branch from this list, and then click the "Pull request" button.
+
+Here you can add a comment about your branch. If this in response to a submitted issue, it is good to put a link to that issue in this initial comment. The maintainers will be notified of your pull request and it will be reviewed (see below for best practices). Note that you can continue to add commits to your topic branch (and push them up to GitHub) either if you see something that needs changing, or in response to a reviewer's comments. If a reviewer asks for changes, you do not need to close the pull and reissue it after making changes. Just make the changes locally, push them to GitHub, then add a comment to the discussion section of the pull request.
+
+## Pull upstream changes into your fork regularly
+
+It is important that you pull upstream changes from master into your fork on a regular basis. Nothing is worse than putting in a days of hard work into a pull request only to have it rejected because it has diverged too far from master.
+
+To pull in upstream changes::
+
+ $ git remote add upstream https://github.com/fplll/fplll.git
+ $ git fetch upstream master
+
+Check the log to be sure that you actually want the changes, before merging::
+
+ $ git log upstream/master
+
+Then merge the changes that you fetched::
+
+ $ git merge upstream/master
+
+For more info, see http://help.github.com/fork-a-repo/
+
+## How to get your pull request accepted
+
+We want your submission. But we also want to provide a stable experience for our users. In the following, we give some guidelines for contributing.
+
+### Run the tests!
+
+Before you submit a pull request, please run tests:
+
+ $ make check
+
+These checks are also run on [Travis-CI](https://travis-ci.org/fplll/fplll) automatically for every pull request. Nothing failing tests will be accepted.
+
+### If you add code please add tests
+
+Code that isn’t tested is broken.
+
+Also, keep your tests simple. Complex tests end up requiring their own tests. We would rather see duplicated assertions across test methods then cunning utility methods that magically determine which assertions are needed at a particular stage. Remember: Explicit is better than implicit.
+
+Finally, the nature of fplll means that sometimes it is hard to properly test the behaviour of a change quickly. Running BKZ for several minutes takes way too long for a test. In this case, we should at least test that a particular piece of code compiles and runs.
+
+### Keep your pull requests limited to a single issue
+
+Pull requests should be as small/atomic as possible.
+
+### Coding Conventions
+
+fplll is written in [C++11](https://en.wikipedia.org/wiki/C%2B%2B11) and we try to make use of its modern features to make the library readable.
+
+Please keep your code as clean and straightforward as possible. Code is written for the consumption by compilers and for the consumption by human beings. By making code clear and easy to understand, others can build on it and fix issues should they arise.
+
+Our naming convention is close to Python's [naming convention](https://www.python.org/dev/peps/pep-0008/). Classes are in ``CamelCase``. Functions, methods, parameters and local variables in ``lower_case`` . Curly braces go on the next line and we [prefer explicit curly braces](https://nakedsecurity.sophos.com/2014/02/24/anatomy-of-a-goto-fail-apples-ssl-bug-explained-plus-an-unofficial-patch/), e.g.
+
+```c++
+if (foo)
+{
+ do_something_good();
+}
+```
+
+instead of:
+
+```c++
+if (foo)
+ do_something_bad();
+```
+
+The following [clang-format](http://clang.llvm.org/docs/ClangFormat.html) config might help to format your code.
+
+```yaml
+---
+Language: Cpp
+# BasedOnStyle: LLVM
+AccessModifierOffset: -2
+AlignAfterOpenBracket: true
+AlignConsecutiveAssignments: true
+AlignEscapedNewlinesLeft: false
+AlignOperands: true
+AlignTrailingComments: true
+AllowAllParametersOfDeclarationOnNextLine: true
+AllowShortBlocksOnASingleLine: false
+AllowShortCaseLabelsOnASingleLine: false
+AllowShortIfStatementsOnASingleLine: false
+AllowShortLoopsOnASingleLine: false
+AllowShortFunctionsOnASingleLine: All
+AlwaysBreakAfterDefinitionReturnType: false
+AlwaysBreakTemplateDeclarations: false
+AlwaysBreakBeforeMultilineStrings: false
+BreakBeforeBinaryOperators: None
+BreakBeforeTernaryOperators: true
+BreakConstructorInitializersBeforeComma: false
+BinPackParameters: true
+BinPackArguments: true
+ColumnLimit: 100
+ConstructorInitializerAllOnOneLineOrOnePerLine: false
+ConstructorInitializerIndentWidth: 4
+DerivePointerAlignment: false
+ExperimentalAutoDetectBinPacking: false
+IndentCaseLabels: false
+IndentWrappedFunctionNames: false
+IndentFunctionDeclarationAfterType: false
+MaxEmptyLinesToKeep: 1
+KeepEmptyLinesAtTheStartOfBlocks: true
+NamespaceIndentation: None
+ObjCBlockIndentWidth: 2
+ObjCSpaceAfterProperty: false
+ObjCSpaceBeforeProtocolList: true
+PenaltyBreakBeforeFirstCallParameter: 19
+PenaltyBreakComment: 300
+PenaltyBreakString: 1000
+PenaltyBreakFirstLessLess: 120
+PenaltyExcessCharacter: 1000000
+PenaltyReturnTypeOnItsOwnLine: 60
+PointerAlignment: Right
+SpacesBeforeTrailingComments: 2
+Standard: Cpp11
+IndentWidth: 2
+TabWidth: 8
+UseTab: Never
+BreakBeforeBraces: Allman
+SpacesInParentheses: false
+SpacesInSquareBrackets: false
+SpacesInAngles: false
+SpaceInEmptyParentheses: false
+SpacesInCStyleCastParentheses: false
+SpaceAfterCStyleCast: false
+SpacesInContainerLiterals: true
+SpaceBeforeAssignmentOperators: true
+ContinuationIndentWidth: 4
+CommentPragmas: '^ IWYU pragma:'
+ForEachMacros: [ foreach, Q_FOREACH, BOOST_FOREACH ]
+SpaceBeforeParens: ControlStatements
+DisableFormat: false
+...
+```
+
+
+Furthermore, the pixel shortage is over. We want to see:
+
+- `package` instead of `pkg`
+- `grid` instead of `g`
+- `my_function_that_does_things` instead of `mftdt`
+
+### Faster compilation
+
+By default, libtool builds everything twice, one for the static and one for the dynamic library, cf. https://stackoverflow.com/questions/572760/libtool-slowness-double-building. If you want to avoid this double compiling time you can run ./configure --disable-static which disables building the static library.
+
+### Attribution
+
+Please do not forget to add yourself as a contributor in [README.md](README.md) if you make a non-trivial contribution. Furthermore, you may want to claim copyright in the copyright headers of each file.
+
+## Documentation
+
+fplll uses [doxygen](http://www.stack.nl/~dimitri/doxygen/) with a [bootstrap theme](https://github.com/Velron/doxygen-bootstrapped) to generate API documentation. To produce API documentation run
+
+ $ doxygen Doxyfile
+
+Our documentation is served at [https://fplll.github.io/fplll/](https://fplll.github.io/fplll/) using [GitHub pages](https://pages.github.com). To update the documentation, check out the ``gh-pages`` branch and update the html files in there. Doxygen writes its outputs to ``doc/html``, you can arrange it that this directory holds the ``gh-pages`` branch of the fplll repository:
+
+ $ cd doc
+ $ git clone -b gh-pages git@github.com::<my-github-name>/fplll.git html
+ $ cd ..
+
+Now, whenever you run ``doxygen`` it will write its outputs to a directory which holds the right branch. If you push it to your remote, you can then check it at [http://my-github-name.github.io/fplll](http://my-github-name.github.io/fplll).
+
+Before generating documentation with Doxygen to push to [https://fplll.github.io/fplll/](https://fplll.github.io/fplll/) please run ``make maintainer-clean`` in the fplll root directory. This removes ``config.h`` and ``fplll_config.h``, i.e. it prevents your local, machine-specific configuration to be pushed as part of the official API documentation. In any case, it is recommended to review the changes in the `gh-pages` branch before committing and pushing.
--- /dev/null
+ GNU LESSER GENERAL PUBLIC LICENSE
+ Version 2.1, February 1999
+
+ Copyright (C) 1991, 1999 Free Software Foundation, Inc.
+ 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+[This is the first released version of the Lesser GPL. It also counts
+ as the successor of the GNU Library Public License, version 2, hence
+ the version number 2.1.]
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+Licenses are intended to guarantee your freedom to share and change
+free software--to make sure the software is free for all its users.
+
+ This license, the Lesser General Public License, applies to some
+specially designated software packages--typically libraries--of the
+Free Software Foundation and other authors who decide to use it. You
+can use it too, but we suggest you first think carefully about whether
+this license or the ordinary General Public License is the better
+strategy to use in any particular case, based on the explanations below.
+
+ When we speak of free software, we are referring to freedom of use,
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+it if you want it; that you can change the software and use pieces of
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+these things.
+
+ To protect your rights, we need to make restrictions that forbid
+distributors to deny you these rights or to ask you to surrender these
+rights. These restrictions translate to certain responsibilities for
+you if you distribute copies of the library or if you modify it.
+
+ For example, if you distribute copies of the library, whether gratis
+or for a fee, you must give the recipients all the rights that we gave
+you. You must make sure that they, too, receive or can get the source
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+with the library after making changes to the library and recompiling
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+
+ We protect your rights with a two-step method: (1) we copyright the
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+permission to copy, distribute and/or modify the library.
+
+ To protect each distributor, we want to make it very clear that
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+\f
+ Finally, software patents pose a constant threat to the existence of
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+
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+ For example, on rare occasions, there may be a special need to
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+
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+ Although the Lesser General Public License is Less protective of the
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+That's all there is to it!
+
+
--- /dev/null
+See NEWS
\ No newline at end of file
--- /dev/null
+# Doxyfile 1.8.8
+
+# This file describes the settings to be used by the documentation system
+# doxygen (www.doxygen.org) for a project.
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+JAVADOC_AUTOBRIEF = NO
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+QT_AUTOBRIEF = NO
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+# When the INLINE_SIMPLE_STRUCTS tag is set to YES, structs, classes, and unions
+# with only public data fields or simple typedef fields will be shown inline in
+# the documentation of the scope in which they are defined (i.e. file,
+# namespace, or group documentation), provided this scope is documented. If set
+# to NO, structs, classes, and unions are shown on a separate page (for HTML and
+# Man pages) or section (for LaTeX and RTF).
+# The default value is: NO.
+
+INLINE_SIMPLE_STRUCTS = NO
+
+# When TYPEDEF_HIDES_STRUCT tag is enabled, a typedef of a struct, union, or
+# enum is documented as struct, union, or enum with the name of the typedef. So
+# typedef struct TypeS {} TypeT, will appear in the documentation as a struct
+# with name TypeT. When disabled the typedef will appear as a member of a file,
+# namespace, or class. And the struct will be named TypeS. This can typically be
+# useful for C code in case the coding convention dictates that all compound
+# types are typedef'ed and only the typedef is referenced, never the tag name.
+# The default value is: NO.
+
+TYPEDEF_HIDES_STRUCT = NO
+
+# The size of the symbol lookup cache can be set using LOOKUP_CACHE_SIZE. This
+# cache is used to resolve symbols given their name and scope. Since this can be
+# an expensive process and often the same symbol appears multiple times in the
+# code, doxygen keeps a cache of pre-resolved symbols. If the cache is too small
+# doxygen will become slower. If the cache is too large, memory is wasted. The
+# cache size is given by this formula: 2^(16+LOOKUP_CACHE_SIZE). The valid range
+# is 0..9, the default is 0, corresponding to a cache size of 2^16=65536
+# symbols. At the end of a run doxygen will report the cache usage and suggest
+# the optimal cache size from a speed point of view.
+# Minimum value: 0, maximum value: 9, default value: 0.
+
+LOOKUP_CACHE_SIZE = 0
+
+#---------------------------------------------------------------------------
+# Build related configuration options
+#---------------------------------------------------------------------------
+
+# If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in
+# documentation are documented, even if no documentation was available. Private
+# class members and static file members will be hidden unless the
+# EXTRACT_PRIVATE respectively EXTRACT_STATIC tags are set to YES.
+# Note: This will also disable the warnings about undocumented members that are
+# normally produced when WARNINGS is set to YES.
+# The default value is: NO.
+
+EXTRACT_ALL = YES
+
+# If the EXTRACT_PRIVATE tag is set to YES all private members of a class will
+# be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PRIVATE = NO
+
+# If the EXTRACT_PACKAGE tag is set to YES all members with package or internal
+# scope will be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PACKAGE = NO
+
+# If the EXTRACT_STATIC tag is set to YES all static members of a file will be
+# included in the documentation.
+# The default value is: NO.
+
+EXTRACT_STATIC = YES
+
+# If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs) defined
+# locally in source files will be included in the documentation. If set to NO
+# only classes defined in header files are included. Does not have any effect
+# for Java sources.
+# The default value is: YES.
+
+EXTRACT_LOCAL_CLASSES = YES
+
+# This flag is only useful for Objective-C code. When set to YES local methods,
+# which are defined in the implementation section but not in the interface are
+# included in the documentation. If set to NO only methods in the interface are
+# included.
+# The default value is: NO.
+
+EXTRACT_LOCAL_METHODS = NO
+
+# If this flag is set to YES, the members of anonymous namespaces will be
+# extracted and appear in the documentation as a namespace called
+# 'anonymous_namespace{file}', where file will be replaced with the base name of
+# the file that contains the anonymous namespace. By default anonymous namespace
+# are hidden.
+# The default value is: NO.
+
+EXTRACT_ANON_NSPACES = NO
+
+# If the HIDE_UNDOC_MEMBERS tag is set to YES, doxygen will hide all
+# undocumented members inside documented classes or files. If set to NO these
+# members will be included in the various overviews, but no documentation
+# section is generated. This option has no effect if EXTRACT_ALL is enabled.
+# The default value is: NO.
+
+HIDE_UNDOC_MEMBERS = NO
+
+# If the HIDE_UNDOC_CLASSES tag is set to YES, doxygen will hide all
+# undocumented classes that are normally visible in the class hierarchy. If set
+# to NO these classes will be included in the various overviews. This option has
+# no effect if EXTRACT_ALL is enabled.
+# The default value is: NO.
+
+HIDE_UNDOC_CLASSES = NO
+
+# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, doxygen will hide all friend
+# (class|struct|union) declarations. If set to NO these declarations will be
+# included in the documentation.
+# The default value is: NO.
+
+HIDE_FRIEND_COMPOUNDS = NO
+
+# If the HIDE_IN_BODY_DOCS tag is set to YES, doxygen will hide any
+# documentation blocks found inside the body of a function. If set to NO these
+# blocks will be appended to the function's detailed documentation block.
+# The default value is: NO.
+
+HIDE_IN_BODY_DOCS = NO
+
+# The INTERNAL_DOCS tag determines if documentation that is typed after a
+# \internal command is included. If the tag is set to NO then the documentation
+# will be excluded. Set it to YES to include the internal documentation.
+# The default value is: NO.
+
+INTERNAL_DOCS = NO
+
+# If the CASE_SENSE_NAMES tag is set to NO then doxygen will only generate file
+# names in lower-case letters. If set to YES upper-case letters are also
+# allowed. This is useful if you have classes or files whose names only differ
+# in case and if your file system supports case sensitive file names. Windows
+# and Mac users are advised to set this option to NO.
+# The default value is: system dependent.
+
+CASE_SENSE_NAMES = YES
+
+# If the HIDE_SCOPE_NAMES tag is set to NO then doxygen will show members with
+# their full class and namespace scopes in the documentation. If set to YES the
+# scope will be hidden.
+# The default value is: NO.
+
+HIDE_SCOPE_NAMES = NO
+
+# If the SHOW_INCLUDE_FILES tag is set to YES then doxygen will put a list of
+# the files that are included by a file in the documentation of that file.
+# The default value is: YES.
+
+SHOW_INCLUDE_FILES = YES
+
+# If the SHOW_GROUPED_MEMB_INC tag is set to YES then Doxygen will add for each
+# grouped member an include statement to the documentation, telling the reader
+# which file to include in order to use the member.
+# The default value is: NO.
+
+SHOW_GROUPED_MEMB_INC = NO
+
+# If the FORCE_LOCAL_INCLUDES tag is set to YES then doxygen will list include
+# files with double quotes in the documentation rather than with sharp brackets.
+# The default value is: NO.
+
+FORCE_LOCAL_INCLUDES = NO
+
+# If the INLINE_INFO tag is set to YES then a tag [inline] is inserted in the
+# documentation for inline members.
+# The default value is: YES.
+
+INLINE_INFO = YES
+
+# If the SORT_MEMBER_DOCS tag is set to YES then doxygen will sort the
+# (detailed) documentation of file and class members alphabetically by member
+# name. If set to NO the members will appear in declaration order.
+# The default value is: YES.
+
+SORT_MEMBER_DOCS = YES
+
+# If the SORT_BRIEF_DOCS tag is set to YES then doxygen will sort the brief
+# descriptions of file, namespace and class members alphabetically by member
+# name. If set to NO the members will appear in declaration order. Note that
+# this will also influence the order of the classes in the class list.
+# The default value is: NO.
+
+SORT_BRIEF_DOCS = NO
+
+# If the SORT_MEMBERS_CTORS_1ST tag is set to YES then doxygen will sort the
+# (brief and detailed) documentation of class members so that constructors and
+# destructors are listed first. If set to NO the constructors will appear in the
+# respective orders defined by SORT_BRIEF_DOCS and SORT_MEMBER_DOCS.
+# Note: If SORT_BRIEF_DOCS is set to NO this option is ignored for sorting brief
+# member documentation.
+# Note: If SORT_MEMBER_DOCS is set to NO this option is ignored for sorting
+# detailed member documentation.
+# The default value is: NO.
+
+SORT_MEMBERS_CTORS_1ST = NO
+
+# If the SORT_GROUP_NAMES tag is set to YES then doxygen will sort the hierarchy
+# of group names into alphabetical order. If set to NO the group names will
+# appear in their defined order.
+# The default value is: NO.
+
+SORT_GROUP_NAMES = NO
+
+# If the SORT_BY_SCOPE_NAME tag is set to YES, the class list will be sorted by
+# fully-qualified names, including namespaces. If set to NO, the class list will
+# be sorted only by class name, not including the namespace part.
+# Note: This option is not very useful if HIDE_SCOPE_NAMES is set to YES.
+# Note: This option applies only to the class list, not to the alphabetical
+# list.
+# The default value is: NO.
+
+SORT_BY_SCOPE_NAME = NO
+
+# If the STRICT_PROTO_MATCHING option is enabled and doxygen fails to do proper
+# type resolution of all parameters of a function it will reject a match between
+# the prototype and the implementation of a member function even if there is
+# only one candidate or it is obvious which candidate to choose by doing a
+# simple string match. By disabling STRICT_PROTO_MATCHING doxygen will still
+# accept a match between prototype and implementation in such cases.
+# The default value is: NO.
+
+STRICT_PROTO_MATCHING = NO
+
+# The GENERATE_TODOLIST tag can be used to enable ( YES) or disable ( NO) the
+# todo list. This list is created by putting \todo commands in the
+# documentation.
+# The default value is: YES.
+
+GENERATE_TODOLIST = NO
+
+# The GENERATE_TESTLIST tag can be used to enable ( YES) or disable ( NO) the
+# test list. This list is created by putting \test commands in the
+# documentation.
+# The default value is: YES.
+
+GENERATE_TESTLIST = YES
+
+# The GENERATE_BUGLIST tag can be used to enable ( YES) or disable ( NO) the bug
+# list. This list is created by putting \bug commands in the documentation.
+# The default value is: YES.
+
+GENERATE_BUGLIST = NO
+
+# The GENERATE_DEPRECATEDLIST tag can be used to enable ( YES) or disable ( NO)
+# the deprecated list. This list is created by putting \deprecated commands in
+# the documentation.
+# The default value is: YES.
+
+GENERATE_DEPRECATEDLIST= NO
+
+# The ENABLED_SECTIONS tag can be used to enable conditional documentation
+# sections, marked by \if <section_label> ... \endif and \cond <section_label>
+# ... \endcond blocks.
+
+ENABLED_SECTIONS =
+
+# The MAX_INITIALIZER_LINES tag determines the maximum number of lines that the
+# initial value of a variable or macro / define can have for it to appear in the
+# documentation. If the initializer consists of more lines than specified here
+# it will be hidden. Use a value of 0 to hide initializers completely. The
+# appearance of the value of individual variables and macros / defines can be
+# controlled using \showinitializer or \hideinitializer command in the
+# documentation regardless of this setting.
+# Minimum value: 0, maximum value: 10000, default value: 30.
+
+MAX_INITIALIZER_LINES = 30
+
+# Set the SHOW_USED_FILES tag to NO to disable the list of files generated at
+# the bottom of the documentation of classes and structs. If set to YES the list
+# will mention the files that were used to generate the documentation.
+# The default value is: YES.
+
+SHOW_USED_FILES = YES
+
+# Set the SHOW_FILES tag to NO to disable the generation of the Files page. This
+# will remove the Files entry from the Quick Index and from the Folder Tree View
+# (if specified).
+# The default value is: YES.
+
+SHOW_FILES = YES
+
+# Set the SHOW_NAMESPACES tag to NO to disable the generation of the Namespaces
+# page. This will remove the Namespaces entry from the Quick Index and from the
+# Folder Tree View (if specified).
+# The default value is: YES.
+
+SHOW_NAMESPACES = YES
+
+# The FILE_VERSION_FILTER tag can be used to specify a program or script that
+# doxygen should invoke to get the current version for each file (typically from
+# the version control system). Doxygen will invoke the program by executing (via
+# popen()) the command command input-file, where command is the value of the
+# FILE_VERSION_FILTER tag, and input-file is the name of an input file provided
+# by doxygen. Whatever the program writes to standard output is used as the file
+# version. For an example see the documentation.
+
+FILE_VERSION_FILTER =
+
+# The LAYOUT_FILE tag can be used to specify a layout file which will be parsed
+# by doxygen. The layout file controls the global structure of the generated
+# output files in an output format independent way. To create the layout file
+# that represents doxygen's defaults, run doxygen with the -l option. You can
+# optionally specify a file name after the option, if omitted DoxygenLayout.xml
+# will be used as the name of the layout file.
+#
+# Note that if you run doxygen from a directory containing a file called
+# DoxygenLayout.xml, doxygen will parse it automatically even if the LAYOUT_FILE
+# tag is left empty.
+
+LAYOUT_FILE = doc/templates/DoxygenLayout.xml
+
+# The CITE_BIB_FILES tag can be used to specify one or more bib files containing
+# the reference definitions. This must be a list of .bib files. The .bib
+# extension is automatically appended if omitted. This requires the bibtex tool
+# to be installed. See also http://en.wikipedia.org/wiki/BibTeX for more info.
+# For LaTeX the style of the bibliography can be controlled using
+# LATEX_BIB_STYLE. To use this feature you need bibtex and perl available in the
+# search path. See also \cite for info how to create references.
+
+CITE_BIB_FILES =
+
+#---------------------------------------------------------------------------
+# Configuration options related to warning and progress messages
+#---------------------------------------------------------------------------
+
+# The QUIET tag can be used to turn on/off the messages that are generated to
+# standard output by doxygen. If QUIET is set to YES this implies that the
+# messages are off.
+# The default value is: NO.
+
+QUIET = NO
+
+# The WARNINGS tag can be used to turn on/off the warning messages that are
+# generated to standard error ( stderr) by doxygen. If WARNINGS is set to YES
+# this implies that the warnings are on.
+#
+# Tip: Turn warnings on while writing the documentation.
+# The default value is: YES.
+
+WARNINGS = YES
+
+# If the WARN_IF_UNDOCUMENTED tag is set to YES, then doxygen will generate
+# warnings for undocumented members. If EXTRACT_ALL is set to YES then this flag
+# will automatically be disabled.
+# The default value is: YES.
+
+WARN_IF_UNDOCUMENTED = YES
+
+# If the WARN_IF_DOC_ERROR tag is set to YES, doxygen will generate warnings for
+# potential errors in the documentation, such as not documenting some parameters
+# in a documented function, or documenting parameters that don't exist or using
+# markup commands wrongly.
+# The default value is: YES.
+
+WARN_IF_DOC_ERROR = YES
+
+# This WARN_NO_PARAMDOC option can be enabled to get warnings for functions that
+# are documented, but have no documentation for their parameters or return
+# value. If set to NO doxygen will only warn about wrong or incomplete parameter
+# documentation, but not about the absence of documentation.
+# The default value is: NO.
+
+WARN_NO_PARAMDOC = NO
+
+# The WARN_FORMAT tag determines the format of the warning messages that doxygen
+# can produce. The string should contain the $file, $line, and $text tags, which
+# will be replaced by the file and line number from which the warning originated
+# and the warning text. Optionally the format may contain $version, which will
+# be replaced by the version of the file (if it could be obtained via
+# FILE_VERSION_FILTER)
+# The default value is: $file:$line: $text.
+
+WARN_FORMAT = "$file:$line: $text"
+
+# The WARN_LOGFILE tag can be used to specify a file to which warning and error
+# messages should be written. If left blank the output is written to standard
+# error (stderr).
+
+WARN_LOGFILE =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the input files
+#---------------------------------------------------------------------------
+
+# The INPUT tag is used to specify the files and/or directories that contain
+# documented source files. You may enter file names like myfile.cpp or
+# directories like /usr/src/myproject. Separate the files or directories with
+# spaces.
+# Note: If this tag is empty the current directory is searched.
+
+INPUT =
+
+# This tag can be used to specify the character encoding of the source files
+# that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses
+# libiconv (or the iconv built into libc) for the transcoding. See the libiconv
+# documentation (see: http://www.gnu.org/software/libiconv) for the list of
+# possible encodings.
+# The default value is: UTF-8.
+
+INPUT_ENCODING = UTF-8
+
+# If the value of the INPUT tag contains directories, you can use the
+# FILE_PATTERNS tag to specify one or more wildcard patterns (like *.cpp and
+# *.h) to filter out the source-files in the directories. If left blank the
+# following patterns are tested:*.c, *.cc, *.cxx, *.cpp, *.c++, *.java, *.ii,
+# *.ixx, *.ipp, *.i++, *.inl, *.idl, *.ddl, *.odl, *.h, *.hh, *.hxx, *.hpp,
+# *.h++, *.cs, *.d, *.php, *.php4, *.php5, *.phtml, *.inc, *.m, *.markdown,
+# *.md, *.mm, *.dox, *.py, *.f90, *.f, *.for, *.tcl, *.vhd, *.vhdl, *.ucf,
+# *.qsf, *.as and *.js.
+
+FILE_PATTERNS =
+
+# The RECURSIVE tag can be used to specify whether or not subdirectories should
+# be searched for input files as well.
+# The default value is: NO.
+
+RECURSIVE = YES
+
+# The EXCLUDE tag can be used to specify files and/or directories that should be
+# excluded from the INPUT source files. This way you can easily exclude a
+# subdirectory from a directory tree whose root is specified with the INPUT tag.
+#
+# Note that relative paths are relative to the directory from which doxygen is
+# run.
+
+EXCLUDE = doc/templates fplll/nr/dpe.h fplll/io/json.hpp tools
+
+# The EXCLUDE_SYMLINKS tag can be used to select whether or not files or
+# directories that are symbolic links (a Unix file system feature) are excluded
+# from the input.
+# The default value is: NO.
+
+EXCLUDE_SYMLINKS = NO
+
+# If the value of the INPUT tag contains directories, you can use the
+# EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude
+# certain files from those directories.
+#
+# Note that the wildcards are matched against the file with absolute path, so to
+# exclude all test directories for example use the pattern */test/*
+
+EXCLUDE_PATTERNS =
+
+# The EXCLUDE_SYMBOLS tag can be used to specify one or more symbol names
+# (namespaces, classes, functions, etc.) that should be excluded from the
+# output. The symbol name can be a fully qualified name, a word, or if the
+# wildcard * is used, a substring. Examples: ANamespace, AClass,
+# AClass::ANamespace, ANamespace::*Test
+#
+# Note that the wildcards are matched against the file with absolute path, so to
+# exclude all test directories use the pattern */test/*
+
+EXCLUDE_SYMBOLS =
+
+# The EXAMPLE_PATH tag can be used to specify one or more files or directories
+# that contain example code fragments that are included (see the \include
+# command).
+
+EXAMPLE_PATH =
+
+# If the value of the EXAMPLE_PATH tag contains directories, you can use the
+# EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp and
+# *.h) to filter out the source-files in the directories. If left blank all
+# files are included.
+
+EXAMPLE_PATTERNS =
+
+# If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be
+# searched for input files to be used with the \include or \dontinclude commands
+# irrespective of the value of the RECURSIVE tag.
+# The default value is: NO.
+
+EXAMPLE_RECURSIVE = NO
+
+# The IMAGE_PATH tag can be used to specify one or more files or directories
+# that contain images that are to be included in the documentation (see the
+# \image command).
+
+IMAGE_PATH =
+
+# The INPUT_FILTER tag can be used to specify a program that doxygen should
+# invoke to filter for each input file. Doxygen will invoke the filter program
+# by executing (via popen()) the command:
+#
+# <filter> <input-file>
+#
+# where <filter> is the value of the INPUT_FILTER tag, and <input-file> is the
+# name of an input file. Doxygen will then use the output that the filter
+# program writes to standard output. If FILTER_PATTERNS is specified, this tag
+# will be ignored.
+#
+# Note that the filter must not add or remove lines; it is applied before the
+# code is scanned, but not when the output code is generated. If lines are added
+# or removed, the anchors will not be placed correctly.
+
+INPUT_FILTER =
+
+# The FILTER_PATTERNS tag can be used to specify filters on a per file pattern
+# basis. Doxygen will compare the file name with each pattern and apply the
+# filter if there is a match. The filters are a list of the form: pattern=filter
+# (like *.cpp=my_cpp_filter). See INPUT_FILTER for further information on how
+# filters are used. If the FILTER_PATTERNS tag is empty or if none of the
+# patterns match the file name, INPUT_FILTER is applied.
+
+FILTER_PATTERNS =
+
+# If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using
+# INPUT_FILTER ) will also be used to filter the input files that are used for
+# producing the source files to browse (i.e. when SOURCE_BROWSER is set to YES).
+# The default value is: NO.
+
+FILTER_SOURCE_FILES = NO
+
+# The FILTER_SOURCE_PATTERNS tag can be used to specify source filters per file
+# pattern. A pattern will override the setting for FILTER_PATTERN (if any) and
+# it is also possible to disable source filtering for a specific pattern using
+# *.ext= (so without naming a filter).
+# This tag requires that the tag FILTER_SOURCE_FILES is set to YES.
+
+FILTER_SOURCE_PATTERNS =
+
+# If the USE_MDFILE_AS_MAINPAGE tag refers to the name of a markdown file that
+# is part of the input, its contents will be placed on the main page
+# (index.html). This can be useful if you have a project on for instance GitHub
+# and want to reuse the introduction page also for the doxygen output.
+
+USE_MDFILE_AS_MAINPAGE = README.md
+
+#---------------------------------------------------------------------------
+# Configuration options related to source browsing
+#---------------------------------------------------------------------------
+
+# If the SOURCE_BROWSER tag is set to YES then a list of source files will be
+# generated. Documented entities will be cross-referenced with these sources.
+#
+# Note: To get rid of all source code in the generated output, make sure that
+# also VERBATIM_HEADERS is set to NO.
+# The default value is: NO.
+
+SOURCE_BROWSER = NO
+
+# Setting the INLINE_SOURCES tag to YES will include the body of functions,
+# classes and enums directly into the documentation.
+# The default value is: NO.
+
+INLINE_SOURCES = NO
+
+# Setting the STRIP_CODE_COMMENTS tag to YES will instruct doxygen to hide any
+# special comment blocks from generated source code fragments. Normal C, C++ and
+# Fortran comments will always remain visible.
+# The default value is: YES.
+
+STRIP_CODE_COMMENTS = YES
+
+# If the REFERENCED_BY_RELATION tag is set to YES then for each documented
+# function all documented functions referencing it will be listed.
+# The default value is: NO.
+
+REFERENCED_BY_RELATION = NO
+
+# If the REFERENCES_RELATION tag is set to YES then for each documented function
+# all documented entities called/used by that function will be listed.
+# The default value is: NO.
+
+REFERENCES_RELATION = NO
+
+# If the REFERENCES_LINK_SOURCE tag is set to YES and SOURCE_BROWSER tag is set
+# to YES, then the hyperlinks from functions in REFERENCES_RELATION and
+# REFERENCED_BY_RELATION lists will link to the source code. Otherwise they will
+# link to the documentation.
+# The default value is: YES.
+
+REFERENCES_LINK_SOURCE = YES
+
+# If SOURCE_TOOLTIPS is enabled (the default) then hovering a hyperlink in the
+# source code will show a tooltip with additional information such as prototype,
+# brief description and links to the definition and documentation. Since this
+# will make the HTML file larger and loading of large files a bit slower, you
+# can opt to disable this feature.
+# The default value is: YES.
+# This tag requires that the tag SOURCE_BROWSER is set to YES.
+
+SOURCE_TOOLTIPS = YES
+
+# If the USE_HTAGS tag is set to YES then the references to source code will
+# point to the HTML generated by the htags(1) tool instead of doxygen built-in
+# source browser. The htags tool is part of GNU's global source tagging system
+# (see http://www.gnu.org/software/global/global.html). You will need version
+# 4.8.6 or higher.
+#
+# To use it do the following:
+# - Install the latest version of global
+# - Enable SOURCE_BROWSER and USE_HTAGS in the config file
+# - Make sure the INPUT points to the root of the source tree
+# - Run doxygen as normal
+#
+# Doxygen will invoke htags (and that will in turn invoke gtags), so these
+# tools must be available from the command line (i.e. in the search path).
+#
+# The result: instead of the source browser generated by doxygen, the links to
+# source code will now point to the output of htags.
+# The default value is: NO.
+# This tag requires that the tag SOURCE_BROWSER is set to YES.
+
+USE_HTAGS = NO
+
+# If the VERBATIM_HEADERS tag is set the YES then doxygen will generate a
+# verbatim copy of the header file for each class for which an include is
+# specified. Set to NO to disable this.
+# See also: Section \class.
+# The default value is: YES.
+
+VERBATIM_HEADERS = YES
+
+# If the CLANG_ASSISTED_PARSING tag is set to YES, then doxygen will use the
+# clang parser (see: http://clang.llvm.org/) for more accurate parsing at the
+# cost of reduced performance. This can be particularly helpful with template
+# rich C++ code for which doxygen's built-in parser lacks the necessary type
+# information.
+# Note: The availability of this option depends on whether or not doxygen was
+# compiled with the --with-libclang option.
+# The default value is: NO.
+
+CLANG_ASSISTED_PARSING = NO
+
+# If clang assisted parsing is enabled you can provide the compiler with command
+# line options that you would normally use when invoking the compiler. Note that
+# the include paths will already be set by doxygen for the files and directories
+# specified with INPUT and INCLUDE_PATH.
+# This tag requires that the tag CLANG_ASSISTED_PARSING is set to YES.
+
+CLANG_OPTIONS =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the alphabetical class index
+#---------------------------------------------------------------------------
+
+# If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index of all
+# compounds will be generated. Enable this if the project contains a lot of
+# classes, structs, unions or interfaces.
+# The default value is: YES.
+
+ALPHABETICAL_INDEX = YES
+
+# The COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns in
+# which the alphabetical index list will be split.
+# Minimum value: 1, maximum value: 20, default value: 5.
+# This tag requires that the tag ALPHABETICAL_INDEX is set to YES.
+
+COLS_IN_ALPHA_INDEX = 5
+
+# In case all classes in a project start with a common prefix, all classes will
+# be put under the same header in the alphabetical index. The IGNORE_PREFIX tag
+# can be used to specify a prefix (or a list of prefixes) that should be ignored
+# while generating the index headers.
+# This tag requires that the tag ALPHABETICAL_INDEX is set to YES.
+
+IGNORE_PREFIX =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the HTML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_HTML tag is set to YES doxygen will generate HTML output
+# The default value is: YES.
+
+GENERATE_HTML = YES
+
+# The HTML_OUTPUT tag is used to specify where the HTML docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: html.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_OUTPUT = html
+
+# The HTML_FILE_EXTENSION tag can be used to specify the file extension for each
+# generated HTML page (for example: .htm, .php, .asp).
+# The default value is: .html.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_FILE_EXTENSION = .html
+
+# The HTML_HEADER tag can be used to specify a user-defined HTML header file for
+# each generated HTML page. If the tag is left blank doxygen will generate a
+# standard header.
+#
+# To get valid HTML the header file that includes any scripts and style sheets
+# that doxygen needs, which is dependent on the configuration options used (e.g.
+# the setting GENERATE_TREEVIEW). It is highly recommended to start with a
+# default header using
+# doxygen -w html new_header.html new_footer.html new_stylesheet.css
+# YourConfigFile
+# and then modify the file new_header.html. See also section "Doxygen usage"
+# for information on how to generate the default header that doxygen normally
+# uses.
+# Note: The header is subject to change so you typically have to regenerate the
+# default header when upgrading to a newer version of doxygen. For a description
+# of the possible markers and block names see the documentation.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_HEADER = doc/templates/header.html
+
+# The HTML_FOOTER tag can be used to specify a user-defined HTML footer for each
+# generated HTML page. If the tag is left blank doxygen will generate a standard
+# footer. See HTML_HEADER for more information on how to generate a default
+# footer and what special commands can be used inside the footer. See also
+# section "Doxygen usage" for information on how to generate the default footer
+# that doxygen normally uses.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_FOOTER = doc/templates/footer.html
+
+# The HTML_STYLESHEET tag can be used to specify a user-defined cascading style
+# sheet that is used by each HTML page. It can be used to fine-tune the look of
+# the HTML output. If left blank doxygen will generate a default style sheet.
+# See also section "Doxygen usage" for information on how to generate the style
+# sheet that doxygen normally uses.
+# Note: It is recommended to use HTML_EXTRA_STYLESHEET instead of this tag, as
+# it is more robust and this tag (HTML_STYLESHEET) will in the future become
+# obsolete.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_STYLESHEET =
+
+# The HTML_EXTRA_STYLESHEET tag can be used to specify additional user-defined
+# cascading style sheets that are included after the standard style sheets
+# created by doxygen. Using this option one can overrule certain style aspects.
+# This is preferred over using HTML_STYLESHEET since it does not replace the
+# standard style sheet and is therefor more robust against future updates.
+# Doxygen will copy the style sheet files to the output directory.
+# Note: The order of the extra stylesheet files is of importance (e.g. the last
+# stylesheet in the list overrules the setting of the previous ones in the
+# list). For an example see the documentation.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_EXTRA_STYLESHEET = doc/templates/customdoxygen.css
+
+# The HTML_EXTRA_FILES tag can be used to specify one or more extra images or
+# other source files which should be copied to the HTML output directory. Note
+# that these files will be copied to the base HTML output directory. Use the
+# $relpath^ marker in the HTML_HEADER and/or HTML_FOOTER files to load these
+# files. In the HTML_STYLESHEET file, use the file name only. Also note that the
+# files will be copied as-is; there are no commands or markers available.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_EXTRA_FILES = doc/templates/doxy-boot.js
+
+# The HTML_COLORSTYLE_HUE tag controls the color of the HTML output. Doxygen
+# will adjust the colors in the stylesheet and background images according to
+# this color. Hue is specified as an angle on a colorwheel, see
+# http://en.wikipedia.org/wiki/Hue for more information. For instance the value
+# 0 represents red, 60 is yellow, 120 is green, 180 is cyan, 240 is blue, 300
+# purple, and 360 is red again.
+# Minimum value: 0, maximum value: 359, default value: 220.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_HUE = 220
+
+# The HTML_COLORSTYLE_SAT tag controls the purity (or saturation) of the colors
+# in the HTML output. For a value of 0 the output will use grayscales only. A
+# value of 255 will produce the most vivid colors.
+# Minimum value: 0, maximum value: 255, default value: 100.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_SAT = 100
+
+# The HTML_COLORSTYLE_GAMMA tag controls the gamma correction applied to the
+# luminance component of the colors in the HTML output. Values below 100
+# gradually make the output lighter, whereas values above 100 make the output
+# darker. The value divided by 100 is the actual gamma applied, so 80 represents
+# a gamma of 0.8, The value 220 represents a gamma of 2.2, and 100 does not
+# change the gamma.
+# Minimum value: 40, maximum value: 240, default value: 80.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_GAMMA = 80
+
+# If the HTML_TIMESTAMP tag is set to YES then the footer of each generated HTML
+# page will contain the date and time when the page was generated. Setting this
+# to NO can help when comparing the output of multiple runs.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_TIMESTAMP = NO
+
+# If the HTML_DYNAMIC_SECTIONS tag is set to YES then the generated HTML
+# documentation will contain sections that can be hidden and shown after the
+# page has loaded.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_DYNAMIC_SECTIONS = NO
+
+# With HTML_INDEX_NUM_ENTRIES one can control the preferred number of entries
+# shown in the various tree structured indices initially; the user can expand
+# and collapse entries dynamically later on. Doxygen will expand the tree to
+# such a level that at most the specified number of entries are visible (unless
+# a fully collapsed tree already exceeds this amount). So setting the number of
+# entries 1 will produce a full collapsed tree by default. 0 is a special value
+# representing an infinite number of entries and will result in a full expanded
+# tree by default.
+# Minimum value: 0, maximum value: 9999, default value: 100.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_INDEX_NUM_ENTRIES = 100
+
+# If the GENERATE_DOCSET tag is set to YES, additional index files will be
+# generated that can be used as input for Apple's Xcode 3 integrated development
+# environment (see: http://developer.apple.com/tools/xcode/), introduced with
+# OSX 10.5 (Leopard). To create a documentation set, doxygen will generate a
+# Makefile in the HTML output directory. Running make will produce the docset in
+# that directory and running make install will install the docset in
+# ~/Library/Developer/Shared/Documentation/DocSets so that Xcode will find it at
+# startup. See http://developer.apple.com/tools/creatingdocsetswithdoxygen.html
+# for more information.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_DOCSET = NO
+
+# This tag determines the name of the docset feed. A documentation feed provides
+# an umbrella under which multiple documentation sets from a single provider
+# (such as a company or product suite) can be grouped.
+# The default value is: Doxygen generated docs.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_FEEDNAME = "Doxygen generated docs"
+
+# This tag specifies a string that should uniquely identify the documentation
+# set bundle. This should be a reverse domain-name style string, e.g.
+# com.mycompany.MyDocSet. Doxygen will append .docset to the name.
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_BUNDLE_ID = org.doxygen.Project
+
+# The DOCSET_PUBLISHER_ID tag specifies a string that should uniquely identify
+# the documentation publisher. This should be a reverse domain-name style
+# string, e.g. com.mycompany.MyDocSet.documentation.
+# The default value is: org.doxygen.Publisher.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_PUBLISHER_ID = org.doxygen.Publisher
+
+# The DOCSET_PUBLISHER_NAME tag identifies the documentation publisher.
+# The default value is: Publisher.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_PUBLISHER_NAME = Publisher
+
+# If the GENERATE_HTMLHELP tag is set to YES then doxygen generates three
+# additional HTML index files: index.hhp, index.hhc, and index.hhk. The
+# index.hhp is a project file that can be read by Microsoft's HTML Help Workshop
+# (see: http://www.microsoft.com/en-us/download/details.aspx?id=21138) on
+# Windows.
+#
+# The HTML Help Workshop contains a compiler that can convert all HTML output
+# generated by doxygen into a single compiled HTML file (.chm). Compiled HTML
+# files are now used as the Windows 98 help format, and will replace the old
+# Windows help format (.hlp) on all Windows platforms in the future. Compressed
+# HTML files also contain an index, a table of contents, and you can search for
+# words in the documentation. The HTML workshop also contains a viewer for
+# compressed HTML files.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_HTMLHELP = NO
+
+# The CHM_FILE tag can be used to specify the file name of the resulting .chm
+# file. You can add a path in front of the file if the result should not be
+# written to the html output directory.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+CHM_FILE =
+
+# The HHC_LOCATION tag can be used to specify the location (absolute path
+# including file name) of the HTML help compiler ( hhc.exe). If non-empty
+# doxygen will try to run the HTML help compiler on the generated index.hhp.
+# The file has to be specified with full path.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+HHC_LOCATION =
+
+# The GENERATE_CHI flag controls if a separate .chi index file is generated (
+# YES) or that it should be included in the master .chm file ( NO).
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+GENERATE_CHI = NO
+
+# The CHM_INDEX_ENCODING is used to encode HtmlHelp index ( hhk), content ( hhc)
+# and project file content.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+CHM_INDEX_ENCODING =
+
+# The BINARY_TOC flag controls whether a binary table of contents is generated (
+# YES) or a normal table of contents ( NO) in the .chm file. Furthermore it
+# enables the Previous and Next buttons.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+BINARY_TOC = NO
+
+# The TOC_EXPAND flag can be set to YES to add extra items for group members to
+# the table of contents of the HTML help documentation and to the tree view.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+TOC_EXPAND = NO
+
+# If the GENERATE_QHP tag is set to YES and both QHP_NAMESPACE and
+# QHP_VIRTUAL_FOLDER are set, an additional index file will be generated that
+# can be used as input for Qt's qhelpgenerator to generate a Qt Compressed Help
+# (.qch) of the generated HTML documentation.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_QHP = NO
+
+# If the QHG_LOCATION tag is specified, the QCH_FILE tag can be used to specify
+# the file name of the resulting .qch file. The path specified is relative to
+# the HTML output folder.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QCH_FILE =
+
+# The QHP_NAMESPACE tag specifies the namespace to use when generating Qt Help
+# Project output. For more information please see Qt Help Project / Namespace
+# (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#namespace).
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_NAMESPACE = org.doxygen.Project
+
+# The QHP_VIRTUAL_FOLDER tag specifies the namespace to use when generating Qt
+# Help Project output. For more information please see Qt Help Project / Virtual
+# Folders (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#virtual-
+# folders).
+# The default value is: doc.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_VIRTUAL_FOLDER = doc
+
+# If the QHP_CUST_FILTER_NAME tag is set, it specifies the name of a custom
+# filter to add. For more information please see Qt Help Project / Custom
+# Filters (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#custom-
+# filters).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_CUST_FILTER_NAME =
+
+# The QHP_CUST_FILTER_ATTRS tag specifies the list of the attributes of the
+# custom filter to add. For more information please see Qt Help Project / Custom
+# Filters (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#custom-
+# filters).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_CUST_FILTER_ATTRS =
+
+# The QHP_SECT_FILTER_ATTRS tag specifies the list of the attributes this
+# project's filter section matches. Qt Help Project / Filter Attributes (see:
+# http://qt-project.org/doc/qt-4.8/qthelpproject.html#filter-attributes).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_SECT_FILTER_ATTRS =
+
+# The QHG_LOCATION tag can be used to specify the location of Qt's
+# qhelpgenerator. If non-empty doxygen will try to run qhelpgenerator on the
+# generated .qhp file.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHG_LOCATION =
+
+# If the GENERATE_ECLIPSEHELP tag is set to YES, additional index files will be
+# generated, together with the HTML files, they form an Eclipse help plugin. To
+# install this plugin and make it available under the help contents menu in
+# Eclipse, the contents of the directory containing the HTML and XML files needs
+# to be copied into the plugins directory of eclipse. The name of the directory
+# within the plugins directory should be the same as the ECLIPSE_DOC_ID value.
+# After copying Eclipse needs to be restarted before the help appears.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_ECLIPSEHELP = NO
+
+# A unique identifier for the Eclipse help plugin. When installing the plugin
+# the directory name containing the HTML and XML files should also have this
+# name. Each documentation set should have its own identifier.
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_ECLIPSEHELP is set to YES.
+
+ECLIPSE_DOC_ID = org.doxygen.Project
+
+# If you want full control over the layout of the generated HTML pages it might
+# be necessary to disable the index and replace it with your own. The
+# DISABLE_INDEX tag can be used to turn on/off the condensed index (tabs) at top
+# of each HTML page. A value of NO enables the index and the value YES disables
+# it. Since the tabs in the index contain the same information as the navigation
+# tree, you can set this option to YES if you also set GENERATE_TREEVIEW to YES.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+DISABLE_INDEX = NO
+
+# The GENERATE_TREEVIEW tag is used to specify whether a tree-like index
+# structure should be generated to display hierarchical information. If the tag
+# value is set to YES, a side panel will be generated containing a tree-like
+# index structure (just like the one that is generated for HTML Help). For this
+# to work a browser that supports JavaScript, DHTML, CSS and frames is required
+# (i.e. any modern browser). Windows users are probably better off using the
+# HTML help feature. Via custom stylesheets (see HTML_EXTRA_STYLESHEET) one can
+# further fine-tune the look of the index. As an example, the default style
+# sheet generated by doxygen has an example that shows how to put an image at
+# the root of the tree instead of the PROJECT_NAME. Since the tree basically has
+# the same information as the tab index, you could consider setting
+# DISABLE_INDEX to YES when enabling this option.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_TREEVIEW = NO
+
+# The ENUM_VALUES_PER_LINE tag can be used to set the number of enum values that
+# doxygen will group on one line in the generated HTML documentation.
+#
+# Note that a value of 0 will completely suppress the enum values from appearing
+# in the overview section.
+# Minimum value: 0, maximum value: 20, default value: 4.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+ENUM_VALUES_PER_LINE = 4
+
+# If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be used
+# to set the initial width (in pixels) of the frame in which the tree is shown.
+# Minimum value: 0, maximum value: 1500, default value: 250.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+TREEVIEW_WIDTH = 250
+
+# When the EXT_LINKS_IN_WINDOW option is set to YES doxygen will open links to
+# external symbols imported via tag files in a separate window.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+EXT_LINKS_IN_WINDOW = NO
+
+# Use this tag to change the font size of LaTeX formulas included as images in
+# the HTML documentation. When you change the font size after a successful
+# doxygen run you need to manually remove any form_*.png images from the HTML
+# output directory to force them to be regenerated.
+# Minimum value: 8, maximum value: 50, default value: 10.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+FORMULA_FONTSIZE = 10
+
+# Use the FORMULA_TRANPARENT tag to determine whether or not the images
+# generated for formulas are transparent PNGs. Transparent PNGs are not
+# supported properly for IE 6.0, but are supported on all modern browsers.
+#
+# Note that when changing this option you need to delete any form_*.png files in
+# the HTML output directory before the changes have effect.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+FORMULA_TRANSPARENT = YES
+
+# Enable the USE_MATHJAX option to render LaTeX formulas using MathJax (see
+# http://www.mathjax.org) which uses client side Javascript for the rendering
+# instead of using prerendered bitmaps. Use this if you do not have LaTeX
+# installed or if you want to formulas look prettier in the HTML output. When
+# enabled you may also need to install MathJax separately and configure the path
+# to it using the MATHJAX_RELPATH option.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+USE_MATHJAX = YES
+
+# When MathJax is enabled you can set the default output format to be used for
+# the MathJax output. See the MathJax site (see:
+# http://docs.mathjax.org/en/latest/output.html) for more details.
+# Possible values are: HTML-CSS (which is slower, but has the best
+# compatibility), NativeMML (i.e. MathML) and SVG.
+# The default value is: HTML-CSS.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_FORMAT = HTML-CSS
+
+# When MathJax is enabled you need to specify the location relative to the HTML
+# output directory using the MATHJAX_RELPATH option. The destination directory
+# should contain the MathJax.js script. For instance, if the mathjax directory
+# is located at the same level as the HTML output directory, then
+# MATHJAX_RELPATH should be ../mathjax. The default value points to the MathJax
+# Content Delivery Network so you can quickly see the result without installing
+# MathJax. However, it is strongly recommended to install a local copy of
+# MathJax from http://www.mathjax.org before deployment.
+# The default value is: http://cdn.mathjax.org/mathjax/latest.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_RELPATH = https://cdn.mathjax.org/mathjax/latest
+
+# The MATHJAX_EXTENSIONS tag can be used to specify one or more MathJax
+# extension names that should be enabled during MathJax rendering. For example
+# MATHJAX_EXTENSIONS = TeX/AMSmath TeX/AMSsymbols
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_EXTENSIONS =
+
+# The MATHJAX_CODEFILE tag can be used to specify a file with javascript pieces
+# of code that will be used on startup of the MathJax code. See the MathJax site
+# (see: http://docs.mathjax.org/en/latest/output.html) for more details. For an
+# example see the documentation.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_CODEFILE =
+
+# When the SEARCHENGINE tag is enabled doxygen will generate a search box for
+# the HTML output. The underlying search engine uses javascript and DHTML and
+# should work on any modern browser. Note that when using HTML help
+# (GENERATE_HTMLHELP), Qt help (GENERATE_QHP), or docsets (GENERATE_DOCSET)
+# there is already a search function so this one should typically be disabled.
+# For large projects the javascript based search engine can be slow, then
+# enabling SERVER_BASED_SEARCH may provide a better solution. It is possible to
+# search using the keyboard; to jump to the search box use <access key> + S
+# (what the <access key> is depends on the OS and browser, but it is typically
+# <CTRL>, <ALT>/<option>, or both). Inside the search box use the <cursor down
+# key> to jump into the search results window, the results can be navigated
+# using the <cursor keys>. Press <Enter> to select an item or <escape> to cancel
+# the search. The filter options can be selected when the cursor is inside the
+# search box by pressing <Shift>+<cursor down>. Also here use the <cursor keys>
+# to select a filter and <Enter> or <escape> to activate or cancel the filter
+# option.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+SEARCHENGINE = YES
+
+# When the SERVER_BASED_SEARCH tag is enabled the search engine will be
+# implemented using a web server instead of a web client using Javascript. There
+# are two flavors of web server based searching depending on the EXTERNAL_SEARCH
+# setting. When disabled, doxygen will generate a PHP script for searching and
+# an index file used by the script. When EXTERNAL_SEARCH is enabled the indexing
+# and searching needs to be provided by external tools. See the section
+# "External Indexing and Searching" for details.
+# The default value is: NO.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SERVER_BASED_SEARCH = NO
+
+# When EXTERNAL_SEARCH tag is enabled doxygen will no longer generate the PHP
+# script for searching. Instead the search results are written to an XML file
+# which needs to be processed by an external indexer. Doxygen will invoke an
+# external search engine pointed to by the SEARCHENGINE_URL option to obtain the
+# search results.
+#
+# Doxygen ships with an example indexer ( doxyindexer) and search engine
+# (doxysearch.cgi) which are based on the open source search engine library
+# Xapian (see: http://xapian.org/).
+#
+# See the section "External Indexing and Searching" for details.
+# The default value is: NO.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTERNAL_SEARCH = NO
+
+# The SEARCHENGINE_URL should point to a search engine hosted by a web server
+# which will return the search results when EXTERNAL_SEARCH is enabled.
+#
+# Doxygen ships with an example indexer ( doxyindexer) and search engine
+# (doxysearch.cgi) which are based on the open source search engine library
+# Xapian (see: http://xapian.org/). See the section "External Indexing and
+# Searching" for details.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SEARCHENGINE_URL =
+
+# When SERVER_BASED_SEARCH and EXTERNAL_SEARCH are both enabled the unindexed
+# search data is written to a file for indexing by an external tool. With the
+# SEARCHDATA_FILE tag the name of this file can be specified.
+# The default file is: searchdata.xml.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SEARCHDATA_FILE = searchdata.xml
+
+# When SERVER_BASED_SEARCH and EXTERNAL_SEARCH are both enabled the
+# EXTERNAL_SEARCH_ID tag can be used as an identifier for the project. This is
+# useful in combination with EXTRA_SEARCH_MAPPINGS to search through multiple
+# projects and redirect the results back to the right project.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTERNAL_SEARCH_ID =
+
+# The EXTRA_SEARCH_MAPPINGS tag can be used to enable searching through doxygen
+# projects other than the one defined by this configuration file, but that are
+# all added to the same external search index. Each project needs to have a
+# unique id set via EXTERNAL_SEARCH_ID. The search mapping then maps the id of
+# to a relative location where the documentation can be found. The format is:
+# EXTRA_SEARCH_MAPPINGS = tagname1=loc1 tagname2=loc2 ...
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTRA_SEARCH_MAPPINGS =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the LaTeX output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_LATEX tag is set to YES doxygen will generate LaTeX output.
+# The default value is: YES.
+
+GENERATE_LATEX = NO
+
+# The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: latex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_OUTPUT = latex
+
+# The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be
+# invoked.
+#
+# Note that when enabling USE_PDFLATEX this option is only used for generating
+# bitmaps for formulas in the HTML output, but not in the Makefile that is
+# written to the output directory.
+# The default file is: latex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_CMD_NAME = latex
+
+# The MAKEINDEX_CMD_NAME tag can be used to specify the command name to generate
+# index for LaTeX.
+# The default file is: makeindex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+MAKEINDEX_CMD_NAME = makeindex
+
+# If the COMPACT_LATEX tag is set to YES doxygen generates more compact LaTeX
+# documents. This may be useful for small projects and may help to save some
+# trees in general.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+COMPACT_LATEX = NO
+
+# The PAPER_TYPE tag can be used to set the paper type that is used by the
+# printer.
+# Possible values are: a4 (210 x 297 mm), letter (8.5 x 11 inches), legal (8.5 x
+# 14 inches) and executive (7.25 x 10.5 inches).
+# The default value is: a4.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+PAPER_TYPE = a4
+
+# The EXTRA_PACKAGES tag can be used to specify one or more LaTeX package names
+# that should be included in the LaTeX output. To get the times font for
+# instance you can specify
+# EXTRA_PACKAGES=times
+# If left blank no extra packages will be included.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+EXTRA_PACKAGES =
+
+# The LATEX_HEADER tag can be used to specify a personal LaTeX header for the
+# generated LaTeX document. The header should contain everything until the first
+# chapter. If it is left blank doxygen will generate a standard header. See
+# section "Doxygen usage" for information on how to let doxygen write the
+# default header to a separate file.
+#
+# Note: Only use a user-defined header if you know what you are doing! The
+# following commands have a special meaning inside the header: $title,
+# $datetime, $date, $doxygenversion, $projectname, $projectnumber,
+# $projectbrief, $projectlogo. Doxygen will replace $title with the empy string,
+# for the replacement values of the other commands the user is refered to
+# HTML_HEADER.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_HEADER =
+
+# The LATEX_FOOTER tag can be used to specify a personal LaTeX footer for the
+# generated LaTeX document. The footer should contain everything after the last
+# chapter. If it is left blank doxygen will generate a standard footer. See
+# LATEX_HEADER for more information on how to generate a default footer and what
+# special commands can be used inside the footer.
+#
+# Note: Only use a user-defined footer if you know what you are doing!
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_FOOTER =
+
+# The LATEX_EXTRA_FILES tag can be used to specify one or more extra images or
+# other source files which should be copied to the LATEX_OUTPUT output
+# directory. Note that the files will be copied as-is; there are no commands or
+# markers available.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_EXTRA_FILES =
+
+# If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated is
+# prepared for conversion to PDF (using ps2pdf or pdflatex). The PDF file will
+# contain links (just like the HTML output) instead of page references. This
+# makes the output suitable for online browsing using a PDF viewer.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+PDF_HYPERLINKS = YES
+
+# If the USE_PDFLATEX tag is set to YES, doxygen will use pdflatex to generate
+# the PDF file directly from the LaTeX files. Set this option to YES to get a
+# higher quality PDF documentation.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+USE_PDFLATEX = YES
+
+# If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \batchmode
+# command to the generated LaTeX files. This will instruct LaTeX to keep running
+# if errors occur, instead of asking the user for help. This option is also used
+# when generating formulas in HTML.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_BATCHMODE = NO
+
+# If the LATEX_HIDE_INDICES tag is set to YES then doxygen will not include the
+# index chapters (such as File Index, Compound Index, etc.) in the output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_HIDE_INDICES = NO
+
+# If the LATEX_SOURCE_CODE tag is set to YES then doxygen will include source
+# code with syntax highlighting in the LaTeX output.
+#
+# Note that which sources are shown also depends on other settings such as
+# SOURCE_BROWSER.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_SOURCE_CODE = NO
+
+# The LATEX_BIB_STYLE tag can be used to specify the style to use for the
+# bibliography, e.g. plainnat, or ieeetr. See
+# http://en.wikipedia.org/wiki/BibTeX and \cite for more info.
+# The default value is: plain.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_BIB_STYLE = plain
+
+#---------------------------------------------------------------------------
+# Configuration options related to the RTF output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_RTF tag is set to YES doxygen will generate RTF output. The
+# RTF output is optimized for Word 97 and may not look too pretty with other RTF
+# readers/editors.
+# The default value is: NO.
+
+GENERATE_RTF = NO
+
+# The RTF_OUTPUT tag is used to specify where the RTF docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: rtf.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_OUTPUT = rtf
+
+# If the COMPACT_RTF tag is set to YES doxygen generates more compact RTF
+# documents. This may be useful for small projects and may help to save some
+# trees in general.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+COMPACT_RTF = NO
+
+# If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated will
+# contain hyperlink fields. The RTF file will contain links (just like the HTML
+# output) instead of page references. This makes the output suitable for online
+# browsing using Word or some other Word compatible readers that support those
+# fields.
+#
+# Note: WordPad (write) and others do not support links.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_HYPERLINKS = NO
+
+# Load stylesheet definitions from file. Syntax is similar to doxygen's config
+# file, i.e. a series of assignments. You only have to provide replacements,
+# missing definitions are set to their default value.
+#
+# See also section "Doxygen usage" for information on how to generate the
+# default style sheet that doxygen normally uses.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_STYLESHEET_FILE =
+
+# Set optional variables used in the generation of an RTF document. Syntax is
+# similar to doxygen's config file. A template extensions file can be generated
+# using doxygen -e rtf extensionFile.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_EXTENSIONS_FILE =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the man page output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_MAN tag is set to YES doxygen will generate man pages for
+# classes and files.
+# The default value is: NO.
+
+GENERATE_MAN = NO
+
+# The MAN_OUTPUT tag is used to specify where the man pages will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it. A directory man3 will be created inside the directory specified by
+# MAN_OUTPUT.
+# The default directory is: man.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_OUTPUT = man
+
+# The MAN_EXTENSION tag determines the extension that is added to the generated
+# man pages. In case the manual section does not start with a number, the number
+# 3 is prepended. The dot (.) at the beginning of the MAN_EXTENSION tag is
+# optional.
+# The default value is: .3.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_EXTENSION = .3
+
+# The MAN_SUBDIR tag determines the name of the directory created within
+# MAN_OUTPUT in which the man pages are placed. If defaults to man followed by
+# MAN_EXTENSION with the initial . removed.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_SUBDIR =
+
+# If the MAN_LINKS tag is set to YES and doxygen generates man output, then it
+# will generate one additional man file for each entity documented in the real
+# man page(s). These additional files only source the real man page, but without
+# them the man command would be unable to find the correct page.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_LINKS = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the XML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_XML tag is set to YES doxygen will generate an XML file that
+# captures the structure of the code including all documentation.
+# The default value is: NO.
+
+GENERATE_XML = NO
+
+# The XML_OUTPUT tag is used to specify where the XML pages will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: xml.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_OUTPUT = xml
+
+# If the XML_PROGRAMLISTING tag is set to YES doxygen will dump the program
+# listings (including syntax highlighting and cross-referencing information) to
+# the XML output. Note that enabling this will significantly increase the size
+# of the XML output.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_PROGRAMLISTING = YES
+
+#---------------------------------------------------------------------------
+# Configuration options related to the DOCBOOK output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_DOCBOOK tag is set to YES doxygen will generate Docbook files
+# that can be used to generate PDF.
+# The default value is: NO.
+
+GENERATE_DOCBOOK = NO
+
+# The DOCBOOK_OUTPUT tag is used to specify where the Docbook pages will be put.
+# If a relative path is entered the value of OUTPUT_DIRECTORY will be put in
+# front of it.
+# The default directory is: docbook.
+# This tag requires that the tag GENERATE_DOCBOOK is set to YES.
+
+DOCBOOK_OUTPUT = docbook
+
+# If the DOCBOOK_PROGRAMLISTING tag is set to YES doxygen will include the
+# program listings (including syntax highlighting and cross-referencing
+# information) to the DOCBOOK output. Note that enabling this will significantly
+# increase the size of the DOCBOOK output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_DOCBOOK is set to YES.
+
+DOCBOOK_PROGRAMLISTING = NO
+
+#---------------------------------------------------------------------------
+# Configuration options for the AutoGen Definitions output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_AUTOGEN_DEF tag is set to YES doxygen will generate an AutoGen
+# Definitions (see http://autogen.sf.net) file that captures the structure of
+# the code including all documentation. Note that this feature is still
+# experimental and incomplete at the moment.
+# The default value is: NO.
+
+GENERATE_AUTOGEN_DEF = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the Perl module output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_PERLMOD tag is set to YES doxygen will generate a Perl module
+# file that captures the structure of the code including all documentation.
+#
+# Note that this feature is still experimental and incomplete at the moment.
+# The default value is: NO.
+
+GENERATE_PERLMOD = NO
+
+# If the PERLMOD_LATEX tag is set to YES doxygen will generate the necessary
+# Makefile rules, Perl scripts and LaTeX code to be able to generate PDF and DVI
+# output from the Perl module output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_PERLMOD is set to YES.
+
+PERLMOD_LATEX = NO
+
+# If the PERLMOD_PRETTY tag is set to YES the Perl module output will be nicely
+# formatted so it can be parsed by a human reader. This is useful if you want to
+# understand what is going on. On the other hand, if this tag is set to NO the
+# size of the Perl module output will be much smaller and Perl will parse it
+# just the same.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_PERLMOD is set to YES.
+
+PERLMOD_PRETTY = YES
+
+# The names of the make variables in the generated doxyrules.make file are
+# prefixed with the string contained in PERLMOD_MAKEVAR_PREFIX. This is useful
+# so different doxyrules.make files included by the same Makefile don't
+# overwrite each other's variables.
+# This tag requires that the tag GENERATE_PERLMOD is set to YES.
+
+PERLMOD_MAKEVAR_PREFIX =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the preprocessor
+#---------------------------------------------------------------------------
+
+# If the ENABLE_PREPROCESSING tag is set to YES doxygen will evaluate all
+# C-preprocessor directives found in the sources and include files.
+# The default value is: YES.
+
+ENABLE_PREPROCESSING = YES
+
+# If the MACRO_EXPANSION tag is set to YES doxygen will expand all macro names
+# in the source code. If set to NO only conditional compilation will be
+# performed. Macro expansion can be done in a controlled way by setting
+# EXPAND_ONLY_PREDEF to YES.
+# The default value is: NO.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+MACRO_EXPANSION = NO
+
+# If the EXPAND_ONLY_PREDEF and MACRO_EXPANSION tags are both set to YES then
+# the macro expansion is limited to the macros specified with the PREDEFINED and
+# EXPAND_AS_DEFINED tags.
+# The default value is: NO.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+EXPAND_ONLY_PREDEF = NO
+
+# If the SEARCH_INCLUDES tag is set to YES the includes files in the
+# INCLUDE_PATH will be searched if a #include is found.
+# The default value is: YES.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+SEARCH_INCLUDES = YES
+
+# The INCLUDE_PATH tag can be used to specify one or more directories that
+# contain include files that are not input files but should be processed by the
+# preprocessor.
+# This tag requires that the tag SEARCH_INCLUDES is set to YES.
+
+INCLUDE_PATH =
+
+# You can use the INCLUDE_FILE_PATTERNS tag to specify one or more wildcard
+# patterns (like *.h and *.hpp) to filter out the header-files in the
+# directories. If left blank, the patterns specified with FILE_PATTERNS will be
+# used.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+INCLUDE_FILE_PATTERNS =
+
+# The PREDEFINED tag can be used to specify one or more macro names that are
+# defined before the preprocessor is started (similar to the -D option of e.g.
+# gcc). The argument of the tag is a list of macros of the form: name or
+# name=definition (no spaces). If the definition and the "=" are omitted, "=1"
+# is assumed. To prevent a macro definition from being undefined via #undef or
+# recursively expanded use the := operator instead of the = operator.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+PREDEFINED =
+
+# If the MACRO_EXPANSION and EXPAND_ONLY_PREDEF tags are set to YES then this
+# tag can be used to specify a list of macro names that should be expanded. The
+# macro definition that is found in the sources will be used. Use the PREDEFINED
+# tag if you want to use a different macro definition that overrules the
+# definition found in the source code.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+EXPAND_AS_DEFINED =
+
+# If the SKIP_FUNCTION_MACROS tag is set to YES then doxygen's preprocessor will
+# remove all references to function-like macros that are alone on a line, have
+# an all uppercase name, and do not end with a semicolon. Such function macros
+# are typically used for boiler-plate code, and will confuse the parser if not
+# removed.
+# The default value is: YES.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+SKIP_FUNCTION_MACROS = YES
+
+#---------------------------------------------------------------------------
+# Configuration options related to external references
+#---------------------------------------------------------------------------
+
+# The TAGFILES tag can be used to specify one or more tag files. For each tag
+# file the location of the external documentation should be added. The format of
+# a tag file without this location is as follows:
+# TAGFILES = file1 file2 ...
+# Adding location for the tag files is done as follows:
+# TAGFILES = file1=loc1 "file2 = loc2" ...
+# where loc1 and loc2 can be relative or absolute paths or URLs. See the
+# section "Linking to external documentation" for more information about the use
+# of tag files.
+# Note: Each tag file must have a unique name (where the name does NOT include
+# the path). If a tag file is not located in the directory in which doxygen is
+# run, you must also specify the path to the tagfile here.
+
+TAGFILES =
+
+# When a file name is specified after GENERATE_TAGFILE, doxygen will create a
+# tag file that is based on the input files it reads. See section "Linking to
+# external documentation" for more information about the usage of tag files.
+
+GENERATE_TAGFILE =
+
+# If the ALLEXTERNALS tag is set to YES all external class will be listed in the
+# class index. If set to NO only the inherited external classes will be listed.
+# The default value is: NO.
+
+ALLEXTERNALS = NO
+
+# If the EXTERNAL_GROUPS tag is set to YES all external groups will be listed in
+# the modules index. If set to NO, only the current project's groups will be
+# listed.
+# The default value is: YES.
+
+EXTERNAL_GROUPS = YES
+
+# If the EXTERNAL_PAGES tag is set to YES all external pages will be listed in
+# the related pages index. If set to NO, only the current project's pages will
+# be listed.
+# The default value is: YES.
+
+EXTERNAL_PAGES = YES
+
+# The PERL_PATH should be the absolute path and name of the perl script
+# interpreter (i.e. the result of 'which perl').
+# The default file (with absolute path) is: /usr/bin/perl.
+
+PERL_PATH = /usr/bin/perl
+
+#---------------------------------------------------------------------------
+# Configuration options related to the dot tool
+#---------------------------------------------------------------------------
+
+# If the CLASS_DIAGRAMS tag is set to YES doxygen will generate a class diagram
+# (in HTML and LaTeX) for classes with base or super classes. Setting the tag to
+# NO turns the diagrams off. Note that this option also works with HAVE_DOT
+# disabled, but it is recommended to install and use dot, since it yields more
+# powerful graphs.
+# The default value is: YES.
+
+CLASS_DIAGRAMS = YES
+
+# You can define message sequence charts within doxygen comments using the \msc
+# command. Doxygen will then run the mscgen tool (see:
+# http://www.mcternan.me.uk/mscgen/)) to produce the chart and insert it in the
+# documentation. The MSCGEN_PATH tag allows you to specify the directory where
+# the mscgen tool resides. If left empty the tool is assumed to be found in the
+# default search path.
+
+MSCGEN_PATH =
+
+# You can include diagrams made with dia in doxygen documentation. Doxygen will
+# then run dia to produce the diagram and insert it in the documentation. The
+# DIA_PATH tag allows you to specify the directory where the dia binary resides.
+# If left empty dia is assumed to be found in the default search path.
+
+DIA_PATH =
+
+# If set to YES, the inheritance and collaboration graphs will hide inheritance
+# and usage relations if the target is undocumented or is not a class.
+# The default value is: YES.
+
+HIDE_UNDOC_RELATIONS = YES
+
+# If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is
+# available from the path. This tool is part of Graphviz (see:
+# http://www.graphviz.org/), a graph visualization toolkit from AT&T and Lucent
+# Bell Labs. The other options in this section have no effect if this option is
+# set to NO
+# The default value is: YES.
+
+HAVE_DOT = YES
+
+# The DOT_NUM_THREADS specifies the number of dot invocations doxygen is allowed
+# to run in parallel. When set to 0 doxygen will base this on the number of
+# processors available in the system. You can set it explicitly to a value
+# larger than 0 to get control over the balance between CPU load and processing
+# speed.
+# Minimum value: 0, maximum value: 32, default value: 0.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_NUM_THREADS = 0
+
+# When you want a differently looking font in the dot files that doxygen
+# generates you can specify the font name using DOT_FONTNAME. You need to make
+# sure dot is able to find the font, which can be done by putting it in a
+# standard location or by setting the DOTFONTPATH environment variable or by
+# setting DOT_FONTPATH to the directory containing the font.
+# The default value is: Helvetica.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_FONTNAME = Helvetica
+
+# The DOT_FONTSIZE tag can be used to set the size (in points) of the font of
+# dot graphs.
+# Minimum value: 4, maximum value: 24, default value: 10.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_FONTSIZE = 10
+
+# By default doxygen will tell dot to use the default font as specified with
+# DOT_FONTNAME. If you specify a different font using DOT_FONTNAME you can set
+# the path where dot can find it using this tag.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_FONTPATH =
+
+# If the CLASS_GRAPH tag is set to YES then doxygen will generate a graph for
+# each documented class showing the direct and indirect inheritance relations.
+# Setting this tag to YES will force the CLASS_DIAGRAMS tag to NO.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+CLASS_GRAPH = NO
+
+# If the COLLABORATION_GRAPH tag is set to YES then doxygen will generate a
+# graph for each documented class showing the direct and indirect implementation
+# dependencies (inheritance, containment, and class references variables) of the
+# class with other documented classes.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+COLLABORATION_GRAPH = NO
+
+# If the GROUP_GRAPHS tag is set to YES then doxygen will generate a graph for
+# groups, showing the direct groups dependencies.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+GROUP_GRAPHS = NO
+
+# If the UML_LOOK tag is set to YES doxygen will generate inheritance and
+# collaboration diagrams in a style similar to the OMG's Unified Modeling
+# Language.
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+UML_LOOK = NO
+
+# If the UML_LOOK tag is enabled, the fields and methods are shown inside the
+# class node. If there are many fields or methods and many nodes the graph may
+# become too big to be useful. The UML_LIMIT_NUM_FIELDS threshold limits the
+# number of items for each type to make the size more manageable. Set this to 0
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+#
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+# Note: For IE 9+ you need to set HTML_FILE_EXTENSION to xhtml in order to make
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--- /dev/null
+Installation Instructions
+*************************
+
+Copyright (C) 1994, 1995, 1996, 1999, 2000, 2001, 2002, 2004, 2005,
+2006, 2007, 2008, 2009 Free Software Foundation, Inc.
+
+ Copying and distribution of this file, with or without modification,
+are permitted in any medium without royalty provided the copyright
+notice and this notice are preserved. This file is offered as-is,
+without warranty of any kind.
+
+Basic Installation
+==================
+
+ Briefly, the shell commands `./configure; make; make install' should
+configure, build, and install this package. The following
+more-detailed instructions are generic; see the `README' file for
+instructions specific to this package. Some packages provide this
+`INSTALL' file but do not implement all of the features documented
+below. The lack of an optional feature in a given package is not
+necessarily a bug. More recommendations for GNU packages can be found
+in *note Makefile Conventions: (standards)Makefile Conventions.
+
+ The `configure' shell script attempts to guess correct values for
+various system-dependent variables used during compilation. It uses
+those values to create a `Makefile' in each directory of the package.
+It may also create one or more `.h' files containing system-dependent
+definitions. Finally, it creates a shell script `config.status' that
+you can run in the future to recreate the current configuration, and a
+file `config.log' containing compiler output (useful mainly for
+debugging `configure').
+
+ It can also use an optional file (typically called `config.cache'
+and enabled with `--cache-file=config.cache' or simply `-C') that saves
+the results of its tests to speed up reconfiguring. Caching is
+disabled by default to prevent problems with accidental use of stale
+cache files.
+
+ If you need to do unusual things to compile the package, please try
+to figure out how `configure' could check whether to do them, and mail
+diffs or instructions to the address given in the `README' so they can
+be considered for the next release. If you are using the cache, and at
+some point `config.cache' contains results you don't want to keep, you
+may remove or edit it.
+
+ The file `configure.ac' (or `configure.in') is used to create
+`configure' by a program called `autoconf'. You need `configure.ac' if
+you want to change it or regenerate `configure' using a newer version
+of `autoconf'.
+
+ The simplest way to compile this package is:
+
+ 1. `cd' to the directory containing the package's source code and type
+ `./configure' to configure the package for your system.
+
+ Running `configure' might take a while. While running, it prints
+ some messages telling which features it is checking for.
+
+ 2. Type `make' to compile the package.
+
+ 3. Optionally, type `make check' to run any self-tests that come with
+ the package, generally using the just-built uninstalled binaries.
+
+ 4. Type `make install' to install the programs and any data files and
+ documentation. When installing into a prefix owned by root, it is
+ recommended that the package be configured and built as a regular
+ user, and only the `make install' phase executed with root
+ privileges.
+
+ 5. Optionally, type `make installcheck' to repeat any self-tests, but
+ this time using the binaries in their final installed location.
+ This target does not install anything. Running this target as a
+ regular user, particularly if the prior `make install' required
+ root privileges, verifies that the installation completed
+ correctly.
+
+ 6. You can remove the program binaries and object files from the
+ source code directory by typing `make clean'. To also remove the
+ files that `configure' created (so you can compile the package for
+ a different kind of computer), type `make distclean'. There is
+ also a `make maintainer-clean' target, but that is intended mainly
+ for the package's developers. If you use it, you may have to get
+ all sorts of other programs in order to regenerate files that came
+ with the distribution.
+
+ 7. Often, you can also type `make uninstall' to remove the installed
+ files again. In practice, not all packages have tested that
+ uninstallation works correctly, even though it is required by the
+ GNU Coding Standards.
+
+ 8. Some packages, particularly those that use Automake, provide `make
+ distcheck', which can by used by developers to test that all other
+ targets like `make install' and `make uninstall' work correctly.
+ This target is generally not run by end users.
+
+Compilers and Options
+=====================
+
+ Some systems require unusual options for compilation or linking that
+the `configure' script does not know about. Run `./configure --help'
+for details on some of the pertinent environment variables.
+
+ You can give `configure' initial values for configuration parameters
+by setting variables in the command line or in the environment. Here
+is an example:
+
+ ./configure CC=c99 CFLAGS=-g LIBS=-lposix
+
+ *Note Defining Variables::, for more details.
+
+Compiling For Multiple Architectures
+====================================
+
+ You can compile the package for more than one kind of computer at the
+same time, by placing the object files for each architecture in their
+own directory. To do this, you can use GNU `make'. `cd' to the
+directory where you want the object files and executables to go and run
+the `configure' script. `configure' automatically checks for the
+source code in the directory that `configure' is in and in `..'. This
+is known as a "VPATH" build.
+
+ With a non-GNU `make', it is safer to compile the package for one
+architecture at a time in the source code directory. After you have
+installed the package for one architecture, use `make distclean' before
+reconfiguring for another architecture.
+
+ On MacOS X 10.5 and later systems, you can create libraries and
+executables that work on multiple system types--known as "fat" or
+"universal" binaries--by specifying multiple `-arch' options to the
+compiler but only a single `-arch' option to the preprocessor. Like
+this:
+
+ ./configure CC="gcc -arch i386 -arch x86_64 -arch ppc -arch ppc64" \
+ CXX="g++ -arch i386 -arch x86_64 -arch ppc -arch ppc64" \
+ CPP="gcc -E" CXXCPP="g++ -E"
+
+ This is not guaranteed to produce working output in all cases, you
+may have to build one architecture at a time and combine the results
+using the `lipo' tool if you have problems.
+
+Installation Names
+==================
+
+ By default, `make install' installs the package's commands under
+`/usr/local/bin', include files under `/usr/local/include', etc. You
+can specify an installation prefix other than `/usr/local' by giving
+`configure' the option `--prefix=PREFIX', where PREFIX must be an
+absolute file name.
+
+ You can specify separate installation prefixes for
+architecture-specific files and architecture-independent files. If you
+pass the option `--exec-prefix=PREFIX' to `configure', the package uses
+PREFIX as the prefix for installing programs and libraries.
+Documentation and other data files still use the regular prefix.
+
+ In addition, if you use an unusual directory layout you can give
+options like `--bindir=DIR' to specify different values for particular
+kinds of files. Run `configure --help' for a list of the directories
+you can set and what kinds of files go in them. In general, the
+default for these options is expressed in terms of `${prefix}', so that
+specifying just `--prefix' will affect all of the other directory
+specifications that were not explicitly provided.
+
+ The most portable way to affect installation locations is to pass the
+correct locations to `configure'; however, many packages provide one or
+both of the following shortcuts of passing variable assignments to the
+`make install' command line to change installation locations without
+having to reconfigure or recompile.
+
+ The first method involves providing an override variable for each
+affected directory. For example, `make install
+prefix=/alternate/directory' will choose an alternate location for all
+directory configuration variables that were expressed in terms of
+`${prefix}'. Any directories that were specified during `configure',
+but not in terms of `${prefix}', must each be overridden at install
+time for the entire installation to be relocated. The approach of
+makefile variable overrides for each directory variable is required by
+the GNU Coding Standards, and ideally causes no recompilation.
+However, some platforms have known limitations with the semantics of
+shared libraries that end up requiring recompilation when using this
+method, particularly noticeable in packages that use GNU Libtool.
+
+ The second method involves providing the `DESTDIR' variable. For
+example, `make install DESTDIR=/alternate/directory' will prepend
+`/alternate/directory' before all installation names. The approach of
+`DESTDIR' overrides is not required by the GNU Coding Standards, and
+does not work on platforms that have drive letters. On the other hand,
+it does better at avoiding recompilation issues, and works well even
+when some directory options were not specified in terms of `${prefix}'
+at `configure' time.
+
+Optional Features
+=================
+
+ If the package supports it, you can cause programs to be installed
+with an extra prefix or suffix on their names by giving `configure' the
+option `--program-prefix=PREFIX' or `--program-suffix=SUFFIX'.
+
+ Some packages pay attention to `--enable-FEATURE' options to
+`configure', where FEATURE indicates an optional part of the package.
+They may also pay attention to `--with-PACKAGE' options, where PACKAGE
+is something like `gnu-as' or `x' (for the X Window System). The
+`README' should mention any `--enable-' and `--with-' options that the
+package recognizes.
+
+ For packages that use the X Window System, `configure' can usually
+find the X include and library files automatically, but if it doesn't,
+you can use the `configure' options `--x-includes=DIR' and
+`--x-libraries=DIR' to specify their locations.
+
+ Some packages offer the ability to configure how verbose the
+execution of `make' will be. For these packages, running `./configure
+--enable-silent-rules' sets the default to minimal output, which can be
+overridden with `make V=1'; while running `./configure
+--disable-silent-rules' sets the default to verbose, which can be
+overridden with `make V=0'.
+
+Particular systems
+==================
+
+ On HP-UX, the default C compiler is not ANSI C compatible. If GNU
+CC is not installed, it is recommended to use the following options in
+order to use an ANSI C compiler:
+
+ ./configure CC="cc -Ae -D_XOPEN_SOURCE=500"
+
+and if that doesn't work, install pre-built binaries of GCC for HP-UX.
+
+ On OSF/1 a.k.a. Tru64, some versions of the default C compiler cannot
+parse its `<wchar.h>' header file. The option `-nodtk' can be used as
+a workaround. If GNU CC is not installed, it is therefore recommended
+to try
+
+ ./configure CC="cc"
+
+and if that doesn't work, try
+
+ ./configure CC="cc -nodtk"
+
+ On Solaris, don't put `/usr/ucb' early in your `PATH'. This
+directory contains several dysfunctional programs; working variants of
+these programs are available in `/usr/bin'. So, if you need `/usr/ucb'
+in your `PATH', put it _after_ `/usr/bin'.
+
+ On Haiku, software installed for all users goes in `/boot/common',
+not `/usr/local'. It is recommended to use the following options:
+
+ ./configure --prefix=/boot/common
+
+Specifying the System Type
+==========================
+
+ There may be some features `configure' cannot figure out
+automatically, but needs to determine by the type of machine the package
+will run on. Usually, assuming the package is built to be run on the
+_same_ architectures, `configure' can figure that out, but if it prints
+a message saying it cannot guess the machine type, give it the
+`--build=TYPE' option. TYPE can either be a short name for the system
+type, such as `sun4', or a canonical name which has the form:
+
+ CPU-COMPANY-SYSTEM
+
+where SYSTEM can have one of these forms:
+
+ OS
+ KERNEL-OS
+
+ See the file `config.sub' for the possible values of each field. If
+`config.sub' isn't included in this package, then this package doesn't
+need to know the machine type.
+
+ If you are _building_ compiler tools for cross-compiling, you should
+use the option `--target=TYPE' to select the type of system they will
+produce code for.
+
+ If you want to _use_ a cross compiler, that generates code for a
+platform different from the build platform, you should specify the
+"host" platform (i.e., that on which the generated programs will
+eventually be run) with `--host=TYPE'.
+
+Sharing Defaults
+================
+
+ If you want to set default values for `configure' scripts to share,
+you can create a site shell script called `config.site' that gives
+default values for variables like `CC', `cache_file', and `prefix'.
+`configure' looks for `PREFIX/share/config.site' if it exists, then
+`PREFIX/etc/config.site' if it exists. Or, you can set the
+`CONFIG_SITE' environment variable to the location of the site script.
+A warning: not all `configure' scripts look for a site script.
+
+Defining Variables
+==================
+
+ Variables not defined in a site shell script can be set in the
+environment passed to `configure'. However, some packages may run
+configure again during the build, and the customized values of these
+variables may be lost. In order to avoid this problem, you should set
+them in the `configure' command line, using `VAR=value'. For example:
+
+ ./configure CC=/usr/local2/bin/gcc
+
+causes the specified `gcc' to be used as the C compiler (unless it is
+overridden in the site shell script).
+
+Unfortunately, this technique does not work for `CONFIG_SHELL' due to
+an Autoconf bug. Until the bug is fixed you can use this workaround:
+
+ CONFIG_SHELL=/bin/bash /bin/bash ./configure CONFIG_SHELL=/bin/bash
+
+`configure' Invocation
+======================
+
+ `configure' recognizes the following options to control how it
+operates.
+
+`--help'
+`-h'
+ Print a summary of all of the options to `configure', and exit.
+
+`--help=short'
+`--help=recursive'
+ Print a summary of the options unique to this package's
+ `configure', and exit. The `short' variant lists options used
+ only in the top level, while the `recursive' variant lists options
+ also present in any nested packages.
+
+`--version'
+`-V'
+ Print the version of Autoconf used to generate the `configure'
+ script, and exit.
+
+`--cache-file=FILE'
+ Enable the cache: use and save the results of the tests in FILE,
+ traditionally `config.cache'. FILE defaults to `/dev/null' to
+ disable caching.
+
+`--config-cache'
+`-C'
+ Alias for `--cache-file=config.cache'.
+
+`--quiet'
+`--silent'
+`-q'
+ Do not print messages saying which checks are being made. To
+ suppress all normal output, redirect it to `/dev/null' (any error
+ messages will still be shown).
+
+`--srcdir=DIR'
+ Look for the package's source code in directory DIR. Usually
+ `configure' can determine that directory automatically.
+
+`--prefix=DIR'
+ Use DIR as the installation prefix. *note Installation Names::
+ for more details, including other options available for fine-tuning
+ the installation locations.
+
+`--no-create'
+`-n'
+ Run the configure checks, but stop before creating any output
+ files.
+
+`configure' also accepts some other, not widely useful, options. Run
+`configure --help' for more details.
+
--- /dev/null
+SUBDIRS=fplll tests
+include_fpllldir=$(includedir)/fplll
+EXTRA_DIST=README.md tools/reformat.pl tools/reformat_magma.pl tools/plot_gso_dump.py strategies/default.json
+ACLOCAL_AMFLAGS=-I m4
+
+pkgconfigdir = $(libdir)/pkgconfig
+pkgconfig_DATA = fplll.pc
+
+strategydir = $(pkgdatadir)/strategies
+dist_strategy_DATA=strategies/default.json
+
--- /dev/null
+Changes in fplll-5.0:
+
+- switched to C++11
+- switched to more open development model on GitHub, cf. CONTRIBUTING.md
+- support for computing optimal pruning parameters for a given lattice
+ dimension/shape/radius
+- BKZ 2.0: recursive BKZ preprocessing, extreme pruning, gaussian
+ heuristic bound
+- precomputed BKZ (2.0) reduction strategies up to block size 90, cf.
+ https://github.com/fplll/strategizer
+- Self-Dual BKZ and Slide reduction
+- faster, recursive enumeration implementation
+- Gaussian lattice sieving
+- Python interface at https://github.com/fplll/fpylll
+- optional dumping Gram-Schmidt vectors during execution of algorithm
+- q-ary lattice generator
+- instructions on how to cite
+- optional support for doubledouble and quaddouble
+- pkg-config support
+- API documentation at https://fplll.github.io/fplll/
+- revised build system supporting parallel build
+- copyright headers
+- dropped fplllv3 compatibility layer
+- greatly increased test coverage, tests are run on every commit or
+ pull request
+- coding/naming convention
+- FP API improved to allow for more readable/natural code
+
+
+Changes in fplll-4.0.4:
+- compatibility for packages that still expect to build against
+libfplll version 3.
+- updates of config.sub and config.guess
+- better check that MPFR and GMP are installed
+- compilation issue with NaN's
+
+Changes in fplll-4.0.3:
+- Compiler issues with Cygwin
+
+Changes in fplll-4.0.2:
+- Changed formulation for the license, in README.html
+
+Main changes in fplll-4.0.1:
+- Compiler warnings about unused parameters fixed
+
+Main changes in fplll-4.0.0:
+- BKZ reduction, available with 'fplll -a bkz -b block_size'
+
+*******************************************************************
+Changes in fplll-3.1.3:
+- Fixed build process when DESTDIR is defined
+
+Changes in fplll-3.1.2:
+- Memory leak fixed in the wrapper.
+
+Main changes in fplll-3.1.1:
+- Some code is no longer included in the header files but is compiled in
+libfplll instead. The -lfplll option will now be required for apps which could
+be compiled without it.
+- 'make install' puts all header files but fplll.h in a subdirectory named fplll
+- New programming interface for the library (documented in README.html).
+- 'generate' renamed to 'latticegen'.
+- Removal of fplll_verbose. Use the '-v' option instead.
+- Minor bugs fixed in all versions of LLL.
+- More important bugs fixed in the SVP solver.
+- Optimization of the SVP solver.
+- By default, 'fplll -a svp' now gives the coordinates of a shortest vector in
+the _standard_ basis.
+
+*******************************************************************
+
+The main differences between fplll-2.1 and fplll-3.0 are the following:
+
+- short lattice vector enumeration algorithm (by Xavier Pujol).
+- GPL -> LGPLv2
+- no more need to specify the number of rows and columns in the input
+of the fplll binary.
+- new version of dpe.h [Patrick Pelissier and Paul Zimmermann]
+
+*******************************************************************
+
+The main differences between fplll-2.1 and fplll-2.0 are the following:
+
+- "configure/make/make install" packaging (thanks to Martin Albrecht)
+- few minor changes to make fplll portable to SAGE (thanks to Martin
+Albrecht)
+- conversion scripts between MAGMA and fplll formats.
+- a bug fixed in fast_early (discovered by Martin Albrecht)
+
+
+*******************************************************************
+
+fplll-2.0 is an improved version of fplll-1.3. Parts of it resemble
+Magma's LLL (Allan Steel, Damien Stehle) and/or NTL's LLL (Victor
+Shoup).
+
+The improvements from fplll-1.3 to fplll-2.0 were mostly performed
+by David Cade. Here is a brief summary of the changes:
+
+- the major algorithmic improvement is the so-called wrapper, which
+chooses for the user a guess of the right sequence of heuristic/proved
+variants to use, in order to finish as quick as possible, but in a
+reliable way.
+
+- the early-reduction strategy of Allan Steel has been integrated. It
+consists in size-reducing vectors earlier than what would have been
+done in the standard LLL. This is not integrated into the wrapper yet.
+
+- we switched from C to C++, to simplify our lives with the wrapper.
+It is extremely convenient for the use of the underlying arrithmetics
+(integers and floating-point numbers).
+
+- we translated the matrix indices by 1: the first matrix entry is
+B[0][0] instead of B[1][1].
+
+- automatised triangular option: the code looks at the matrix and
+decides how close to upper-triangular it is.
--- /dev/null
+# fplll #
+
+[](https://travis-ci.org/fplll/fplll)
+
+fplll contains implementations of several lattice algorithms. The implementation relies on floating-point orthogonalization, and LLL [[LLL82](#LLL82)] is central to the code, hence the name.
+
+It includes implementations of floating-point LLL reduction algorithms [[NS09](#NS09),[MSV09](#MSV09)], offering different speed/guarantees ratios. It contains a 'wrapper' choosing the estimated best sequence of variants in order to provide a guaranteed output as fast as possible [[S10](#S10)]. In the case of the wrapper, the succession of variants is oblivious to the user.
+
+It includes an implementation of the BKZ reduction algorithm [[SE94](#SE94)], including the BKZ-2.0 [[CN11](#CN11)] improvements (extreme enumeration pruning, pre-processing of blocks, early termination). Additionally, Slide reduction [[GN08](#GN08)] and self dual BKZ [[MW16](#MW16)] are supported.
+
+It also includes a floating-point implementation of the Kannan-Fincke-Pohst algorithm [[K83](#K83),[FP85](#FP85)] that finds a shortest non-zero lattice vector. For the same task, the GaussSieve algorithm [[MV10](#MV10)] is also available in fplll. Finally, it contains a variant of the enumeration algorithm that computes a lattice vector closest to a given vector belonging to the real span of the lattice.
+
+fplll is distributed under the [GNU Lesser General Public License](COPYING) (either version 2.1 of the License, or, at your option, any later version) as published by the Free Software Foundation.
+
+## How to cite ##
+
+ @unpublished{fplll,
+ Note = {Available at \url{https://github.com/fplll/fplll}},
+ Title = {{fplll}, a lattice reduction library},
+ Author = {The {FPLLL} development team},
+ Year = 2016,
+ url = {https://github.com/fplll/fplll}
+ }
+
+
+# Table of contents #
+
+ * [fplll](#fplll)
+ * [How to cite](#How-to-cite)
+ * [Table of contents](#table-of-contents)
+ * [Compilation](#compilation)
+ * [Dependencies](#dependencies)
+ * [Required](#required), [Optional](#optional).
+ * [Installation](#installation)
+ * [Optimization](#optimization)
+ * [Check](#check)
+ * [How to use](#how-to-use)
+ * Programs [latticegen](#latticegen), [fplll](#fplll-1), [llldiff](#llldiff), [latsieve](#latsieve).
+ * [How to use as a library](#how-to-use-as-a-library)
+ * [Multicore support](#multicore-support)
+ * [Examples](#examples)
+ * [Alternative interfaces](#alternative-interfaces)
+ * [Credit](#credit)
+ * [Maintainers](#maintainers), [Contributors](#contributors), [Acknowledgments](#acknowledgments).
+ * [Contributing](#contributing)
+ * [New releases and bug reports](#new-releases-and-bug-reports)
+ * [Bibliography](#bibliography)
+
+
+# Compilation #
+
+## Dependencies ##
+
+### Required ###
+
+- GNU MP 4.2.0 or higher [http://gmplib.org/](http://gmplib.org/)
+- MPFR 2.3.0 or higher, COMPLETE INSTALLATION [http://www.mpfr.org/](http://www.mpfr.org/)
+- autotools 2.61 or higher
+- g++ 4.9.3 or higher
+
+If GMP and/or MPFR include and lib files are not in the default directories `/usr/include` and
+`/usr/lib`, you have to set the environment variables `CFLAGS` and `LDFLAGS` for instance through the
+configure command line
+
+ ./configure CPPFLAGS="-I/mpfrinclude -I/gmpinclude" LDFLAGS="-L/mpfrlib -L/gmplib"
+
+or
+
+ ./configure CPPFLAGS="-I/mpfrinclude -I/gmpinclude $CPPFLAGD" LDFLAGS="-L/mpfrlib -L/gmplib $LDFLAGS"
+
+if these variables already exist in your environment. This should be modified soon for using
+standard `--with-gmp` and `--with-mpfr` package specifications. The same philosophy applies to the
+(optional) QD library.
+
+### Optional ###
+- QD 2.3.15 or higher (a C++/Fortran-90 double-double and quad-double package), compile and install
+ the shared library (e.g. `./configure --enable-shared=yes`).
+ [http://crd-legacy.lbl.gov/~dhbailey/mpdist/](http://crd-legacy.lbl.gov/~dhbailey/mpdist/)
+
+## Installation ##
+
+You should downloaded the source code from github and then run
+
+ ./autogen.sh
+
+which generates the `./configure` script used to configure fplll by calling the appropriate
+autotools command.
+
+Then, to compile and install type
+
+ ./configure
+ make
+ make install # (as root)
+
+You can remove the program binaries and object files from the source code directory by typing `make
+clean`. To also remove the files that `./configure` created (so you can compile the package for a
+different kind of computer), type `make distclean`. By default, `make install` installs the package
+commands under `/usr/local/bin`, include files under `/usr/local/include`, etc. You can specify an
+installation directory name other than `/usr/local` by giving `./configure` the option
+`--prefix=dirname`. Run `./configure --help` for further details.
+
+## Check ##
+
+Type
+
+ make check
+
+
+## Optimization ##
+
+The default compilation flag is `-O3`. One may use the `-march=native -O3` flag to optimize the binaries. See "[this issue](https://github.com/fplll/fplll/issues/169)" for its impact on the enumeration speed.
+
+
+# How to use #
+
+Executable files `fplll` and `latticegen` are installed in the directory
+`/usr/local/bin`. (Note that the programs generated by `make` in the `fplll/` directory are only wrappers to the programs in `fplll/.libs/`).
+
+If you type `make check`, it will also generate the executable file `llldiff`,
+in `fplll/.libs/`.
+
+
+## latticegen ##
+
+`latticegen` is a utility for generating matrices (rows form input
+lattice basis vectors).
+
+The options are:
+
+* `r` `d` `b` : generates a knapsack like matrix of dimension d x (d+1) and b bits (see, e.g., [[S09](#S09)]): the i-th vector starts with a random integer of bit-length <=b and the rest is the i-th canonical unit vector.
+* `s` `d` `b` `b2` : generates a d x d matrix of a form similar to that is involved when trying to find rational approximations to reals with the same small denominator (see, e.g., [[LLL82](#LLL82)]): the first vector starts with a random integer of bit-length <=b2 and continues with d-1 independent integers of bit-lengths <=b; the i-th vector for i>1 is the i-th canonical unit vector scaled by a factor 2^b.
+* `u` `d` `b` : generates a d x d matrix whose entries are independent integers of bit-lengths <=b.
+* `n` `d` `b` `c` : generates an ntru-like matrix. If char is 'b', then it first samples an integer q of bit-length <=b, whereas if char is 'q', then it sets q to the provided value. Then it samples a uniform h in the ring Z_q[x]/(x^n-1). It finally returns the 2 x 2 block matrix [[I, Rot(h)], [0, q*I]], where each block is d x d, the first row of Rot(h) is the coefficient vector of h, and the i-th row of Rot(h) is the shift of the (i-1)-th (with last entry put back in first position), for all i>1. Warning: this does not produce a genuine ntru lattice with h a genuine public key (see [[HPS98](#HPS98)]).
+* `N` `d` `b` `c` : as the previous option, except that the contructed matrix is [[q*I, 0], [Rot(h), I]].
+* `q` `d` `k` `b` `c` : generates a q-ary matrix. If char is 'b', then it first samples an integer q of bit-length <=b; if char is 'p', it does the same and updates q to the smallest (probabilistic) prime that is greater; if char is 'q', then it sets q to the provided value. It returns a 2 x 2 block matrix [[I, H], [0, q*I]], where H is (d-k) x k and uniformly random modulo q. These bases correspond to the SIS/LWE q-ary lattices (see [[MR09](#MR09)]). Goldstein-Mayer lattices correspond to k=1 and q prime (see [[GM03](#GM03)]).
+* `t` `d` `f` : generates a d x d lower-triangular matrix B with B_ii = 2^(d-i+1)^f for all i, and B_ij is uniform between -B_jj/2 and B_jj/2 for all j<i.
+* `T` `d` : also takes as input a d-dimensional vector vec read from a file. It generates a d x d lower-triangular matrix B with B_ii = vec[i] for all i and B_ij is uniform between -B_jj/2 and B_jj/2 for all j<i.
+
+The generated matrix is printed in stdout.
+
+Note that by default, the random bits always use the same seed, to ensure reproducibility. The seed may be changed with the option `-randseed <integer>` or by using the current time (in seconds) `-randseed time`. If you use this option, it must be the first one on the command line.
+
+## fplll ##
+
+`fplll` does LLL, BKZ, HKZ or SVP on a matrix (considered as a set of row
+vectors) given in stdin or in a file as parameter.
+
+The options are:
+
+* `-a lll` : LLL-reduction (default).
+* `-a bkz` : BKZ-reduction.
+* `-a hkz` : HKZ-reduction.
+* `-a svp` : prints a shortest non-zero vector of the lattice.
+* `-a sdb` : self dual variant of BKZ-reduction.
+* `-a sld` : Slide reduction.
+* `-a svp` : print a shortest vector of the lattice.
+* `-v` : verbose mode.
+* `-nolll` : does not apply to LLL-reduction. In the case of bkz, hkz and svp, by default, the input basis is LLL-reduced before anything else. This option allows to remove that initial LLL-reduction (note that other calls to LLL-reduction may occur during the execution).
+* `-r` `size`, `-c` `size` : ignored, provided for compatibility with previous versions of fplll.
+
+
+Options for LLL-reduction:
+
+
+* `-d delta` : δ (default=0.99)
+* `-e eta` : η (default=0.51). See [[NS09](#NS09)] for the definition of (δ,η)-LLL-reduced bases.
+* `-l lovasz` : if !=0 Lovasz's condition. Otherwise, Siegel's condition (default: Lovasz). See [[A02](#A02)] for the definition of Siegel condition.
+
+* `-f mpfr` : sets the floating-point type to MPFR (default if `m=proved`).
+* `-p precision` : precision of the floating-point arithmetic, works only with `-f mpfr`.
+* `-f dd` : sets the floating-point type to double-double.
+* `-f qd` : sets the floating-point type to quad-double.
+* `-f dpe` : sets the floating-point type to DPE (default if `m=heuristic/heuristicearly`).
+* `-f double` : sets the floating-point type to double (default if `m=fast/fastearly`).
+* `-f longdouble` : sets the floating-point type to long double.
+
+* `-z int` : sets the integer type to int.
+* `-z mpz` : sets the integer type to mpz, the integer type of GMP (default).
+* `-z double` : sets the integer type to double.
+
+* `-m wrapper` : uses the wrapper. (default if `z=mpz`).
+* `-m fast` : uses the fast method, works only with `-f double`.
+* `-m fastearly` : uses the fast method with early reduction, works only with `-f double`.
+* `-m heuristic` : uses the heuristic method.
+* `-m heuristicearly` : uses the heuristic method with early reduction.
+* `-m proved` : uses the proved version of the algorithm.
+
+With the wrapper or the proved version, it is guaranteed that the basis is LLL-reduced with δ'=2×δ-1
+and η'=2×η-1/2. For instance, with the default options, it is guaranteed that the basis is
+(0.98,0.52)-LLL-reduced.
+
+
+Options for BKZ-reduction:
+
+* `-b block_size` : Block size, mandatory, between 2 and the number of vectors.
+
+* `-f float_type` : Same as LLL (`-p` is required if `float_type=mpfr`).
+* `-p precision` : Precision of the floating-point arithmetic with `-f mpfr`.
+
+* `-bkzmaxloops loops` : Maximum number of full loop iterations.
+* `-bkzmaxtime time` : Stops after `time` seconds (up to completion of the current loop iteration).
+* `-bkzautoabort` : Stops when the average slope of the log ||b_i*||'s does not decrease fast enough.
+
+Without any of the last three options, BKZ runs until no block has been updated for a full loop iteration.
+
+* `-s filename.json` : Use strategies for preprocessing and pruning paramater (/strategies/default.json provided). Experimental.
+
+* `-bkzghbound factor` : Multiplies the Gaussian heuristic by factor (of float type) to set the enumeration radius of the SVP calls.
+* `-bkzboundedlll` : Restricts the LLL call before considering a block to vector indices within that block.
+
+* `-bkzdumgso file_name` : Dumps the log ||b_i*|| 's in specified file.
+
+
+## llldiff ##
+
+`llldiff` compares two bases (b1,...,bd) and (c1,...c_d'): they are considered
+equal iff d=d' and for any i, bi = +- ci. Concretely, if basis B is in file 'B.txt' and if basis C is in file 'C.txt' (in the fplll format), then one may run `cat B.txt C.txt | ./llldiff`.
+
+
+## latsieve ##
+
+`latsieve` does (tuple) lattice sieve on a matrix (considered as a set of row
+vectors) given in a file as parameter. You may compile it by using `make latsieve`.
+ It will generate the executable file
+ `latsieve` in `fplll/` which is a wrapper of `fplll/.libs/latsieve`.
+
+
+The options are:
+
+* `-a nnn` : nnn is the tuple algorithm to use (default 2 corresponding to GaussSieve)
+* `-f filename` : follows input matrix
+* `-b nnn` : BKZ preprocessing of blocksize nnn (optional)
+* `-t nnn` : targeted square norm for stoping sieving (optional)
+* `-s nnn` : using seed=nnn (optional)
+* `-v` : verbose toggle
+
+
+## How to use as a library ##
+
+See [API documentation](https://fplll.github.io/fplll/).
+
+## Multicore support ##
+
+This library does not currently use multiple cores and running multiple threads working on the same object `IntegerMatrix`, `LLLReduction`, `MatGSO` etc. is not supported. Running multiple threads working on *different* objects, however, is supported. That is, there are no global variables and it is safe to e.g. reduce several lattices in parallel in the same process.
+
+# Examples #
+
+1. LLL reduction
+
+ ```
+ ./latticegen r 10 1000 | ./fplll
+ ```
+
+2. Fileinput for reduction. If the file `matrix` contains
+
+ ```
+ [[ 10 11]
+ [11 12]]
+ ```
+
+ then
+
+ ```
+ ./fplll matrix
+ ```
+
+ produces
+
+ ```
+ [[0 1 ]
+ [1 0 ]
+ ]
+ ```
+
+3. Random generator
+
+ ```
+ ./latticegen -randseed 1234 r 10 1000 | ./fplll
+ ./latticegen -randseed time u 10 16 | ./fplll
+ ```
+
+4. Solving SVP
+
+ ```
+ ./latticegen r 30 3000 | ./fplll -a svp
+ ```
+
+# Alternative interfaces #
+
+- [fpylll](https://github.com/malb/fpylll) is a stand-alone Python interface for fplll.
+- fplll is included in [Sage](http://sagemath.org), see documentation for [IntegerMatrix](http://doc.sagemath.org/html/en/reference/matrices/sage/matrix/matrix_integer_dense.html) and [IntegerLattice](http://doc.sagemath.org/html/en/reference/modules/sage/modules/free_module_integer.html).
+
+
+# Credit #
+
+## Maintainers ##
+
+fplll is currently maintained by:
+
+- Martin Albrecht, <martinralbrecht@googlemail.com>
+- Shi Bai, <shi.bai@gmail.com>
+
+## Contributors ##
+
+The following people have contributed to fplll:
+
+- Martin Albrecht
+- Shi Bai
+- Guillaume Bonnoron
+- David Cade
+- Léo Ducas
+- Joop van de Pol
+- Xavier Pujol
+- Damien Stehlé
+- Marc Stevens
+- Gilles Villard
+- Michael Walter
+
+Please add yourself here if you make a contribution.
+
+## Acknowledgments ##
+
+- Patrick Pelissier and Paul Zimmermann for `dpe`.
+
+- David H. Bailey for `QD`.
+
+- Sylvain Chevillard, Christoph Lauter and Gilles Villard for the `configure/make/make install` packaging.
+
+- Timothy Abbott, Michael Abshoff, Bill Allombert, John Cannon, Sylvain Chevillard, Julien Clement, Andreas Enge, Jean-Pierre Flori, Laurent Fousse, Guillaume Hanrot, Jens Hermans, Jerry James, Christoph Lauter, Tancrède Lepoint, Andrew Novocin, Willem Jan Palenstijn, Patrick Pelissier, Julien Puydt, Michael Schneider, Thiemo Seufer, Allan Steel, Gilles Villard and Paul Zimmermann for their support and for many suggestions that helped debugging and improving this code.
+
+- [CONTRIBUTING.md](CONTRIBUTING.md) is taken, almost verbatim, from https://github.com/pydanny/djangopackages/blob/master/docs/contributing.rst
+
+- [json.hpp](fplll/io/json.hpp) is taken from https://github.com/nlohmann/json
+
+- This project has been supported by ERC Starting Grant ERC-2013-StG-335086-LATTAC.
+
+# Contributing #
+
+fplll welcomes contributions. See [CONTRIBUTING.md](CONTRIBUTING.md) for details.
+
+# New releases and bug reports #
+
+New releases will be announced on [https://groups.google.com/forum/#!forum/fplll-devel](https://groups.google.com/forum/#!forum/fplll-devel).
+
+Bug reports may be sent to [https://groups.google.com/forum/#!forum/fplll-devel](https://groups.google.com/forum/#!forum/fplll-devel) or via
+[https://github.com/fplll/fplll/issues](https://github.com/fplll/fplll/issues).
+
+# Bibliography #
+
+<a name="A02">[A02]<a/> A. Akhavi. Random lattices, threshold phenomena and efficient reduction algorithms. Theor. Comput. Sci. 287(2): 359-385 (2002)
+
+<a name="Chen13">[Chen13]</a> Y. Chen, Lattice reduction and concrete security of fully homomorphic encryption.
+
+<a name="CN11">[CN11]</a> Y. Chen and P. Q. Nguyen. BKZ 2.0: Better Lattice Security Estimates. ASIACRYPT 2011: 1-20
+
+<a name="GM03">[GM03]</a> D. Goldstein and A. Mayer. On the equidistribution of Hecke points. Forum Mathematicum, 15:165–189 (2003)
+
+<a name="GN08">[GN08]</a> N. Gama and P. Q. Nguyen. Finding Short Lattice Vectors within Mordell's Inequality. STOC 2008: 207-216
+
+<a name="GNR13">[GNR13]</a> N. Gama, P. Q. Nguyen and Oded Regev. Lattice Enumeration Using Extreme Pruning.
+
+
+<a name="HPS98">[HPS98]</a> J. Hoffstein, J. Pipher, J. H. Silverman. NTRU: A Ring-Based Public Key Cryptosystem. ANTS 1998: 267-288
+
+<a name="K83">[K83]</a> R. Kannan. Improved algorithms for integer programming and related lattice problems. STOC 1983, 99-108
+
+<a name="FP85">[FP85]</a> U. Fincke and M. Pohst. Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Math. Comp., 44(170):463–471 (1985)
+
+<a name="LLL82">[LLL82]</a> A. K. Lenstra, H. W. Lenstra, Jr. and L. Lovasz. Factoring polynomials with rational coefficients. Math. Ann., 261: 515–534 (1982)
+
+<a name="MSV09">[MSV09]</a> I. Morel, D. Stehle and G. Villard. H-LLL: using Householder inside LLL. ISSAC 2009: 271-278
+
+<a name="MV10">[MV10]</a> D. Micciancio and P. Voulgaris. Faster Exponential Time Algorithms for the Shortest Vector Problem. SODA 2010: 1468-1480
+
+<a name="MW16">[MW16]</a> D. Micciancio and M. Walter. Practical, Predictable Lattice Basis Reduction. EUROCRYPT 2016: 820-849
+
+<a name="MR09">[MR09]</a> D. Micciancio and O. Regev. Post-Quantum Cryptography. Chapter of Lattice-based Cryptography, 147-191 (2009)
+
+<a name="NS09">[NS09]</a> P. Q. Nguyen and D. Stehle. An LLL Algorithm with Quadratic Complexity. SIAM J. Comput. 39(3): 874-903 (2009)
+
+<a name="S10">[S10]</a> D. Stehle. Floating-Point LLL: Theoretical and Practical Aspects. The LLL Algorithm 2010: 179-213
+
+<a name="SE94">[SE94]</a>: C.-P. Schnorr and M. Euchner. Lattice basis reduction: Improved practical algorithms and solving subset sum problems. Math. Program. 66: 181-199 (1994)
+
--- /dev/null
+#!/bin/sh
+# a u t o g e n . s h
+#
+# Copyright (c) 2005-2009 United States Government as represented by
+# the U.S. Army Research Laboratory.
+#
+# 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. The name of the author may not be used to endorse or promote
+# products derived from this software without specific prior written
+# permission.
+#
+# THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``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 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.
+#
+###
+#
+# Script for automatically preparing the sources for compilation by
+# performing the myriad of necessary steps. The script attempts to
+# detect proper version support, and outputs warnings about particular
+# systems that have autotool peculiarities.
+#
+# Basically, if everything is set up and installed correctly, the
+# script will validate that minimum versions of the GNU Build System
+# tools are installed, account for several common configuration
+# issues, and then simply run autoreconf for you.
+#
+# If autoreconf fails, which can happen for many valid configurations,
+# this script proceeds to run manual preparation steps effectively
+# providing a POSIX shell script (mostly complete) reimplementation of
+# autoreconf.
+#
+# The AUTORECONF, AUTOCONF, AUTOMAKE, LIBTOOLIZE, ACLOCAL, AUTOHEADER
+# environment variables and corresponding _OPTIONS variables (e.g.
+# AUTORECONF_OPTIONS) may be used to override the default automatic
+# detection behaviors. Similarly the _VERSION variables will override
+# the minimum required version numbers.
+#
+# Examples:
+#
+# To obtain help on usage:
+# ./autogen.sh --help
+#
+# To obtain verbose output:
+# ./autogen.sh --verbose
+#
+# To skip autoreconf and prepare manually:
+# AUTORECONF=false ./autogen.sh
+#
+# To verbosely try running with an older (unsupported) autoconf:
+# AUTOCONF_VERSION=2.50 ./autogen.sh --verbose
+#
+# Author:
+# Christopher Sean Morrison <morrison@brlcad.org>
+#
+# Patches:
+# Sebastian Pipping <sebastian@pipping.org>
+#
+######################################################################
+
+# set to minimum acceptable version of autoconf
+if [ "x$AUTOCONF_VERSION" = "x" ] ; then
+ AUTOCONF_VERSION=2.52
+fi
+# set to minimum acceptable version of automake
+if [ "x$AUTOMAKE_VERSION" = "x" ] ; then
+ AUTOMAKE_VERSION=1.6.0
+fi
+# set to minimum acceptable version of libtool
+if [ "x$LIBTOOL_VERSION" = "x" ] ; then
+ LIBTOOL_VERSION=1.4.2
+fi
+
+
+##################
+# ident function #
+##################
+ident ( ) {
+ # extract copyright from header
+ __copyright="`grep Copyright $AUTOGEN_SH | head -${HEAD_N}1 | awk '{print $4}'`"
+ if [ "x$__copyright" = "x" ] ; then
+ __copyright="`date +%Y`"
+ fi
+
+ # extract version from CVS Id string
+ __id="$Id: autogen.sh 33925 2009-03-01 23:27:06Z brlcad $"
+ __version="`echo $__id | sed 's/.*\([0-9][0-9][0-9][0-9]\)[-\/]\([0-9][0-9]\)[-\/]\([0-9][0-9]\).*/\1\2\3/'`"
+ if [ "x$__version" = "x" ] ; then
+ __version=""
+ fi
+
+ echo "autogen.sh build preparation script by Christopher Sean Morrison"
+ echo " + config.guess download patch by Sebastian Pipping (2008-12-03)"
+ echo "revised 3-clause BSD-style license, copyright (c) $__copyright"
+ echo "script version $__version, ISO/IEC 9945 POSIX shell script"
+}
+
+
+##################
+# USAGE FUNCTION #
+##################
+usage ( ) {
+ echo "Usage: $AUTOGEN_SH [-h|--help] [-v|--verbose] [-q|--quiet] [-d|--download] [--version]"
+ echo " --help Help on $NAME_OF_AUTOGEN usage"
+ echo " --verbose Verbose progress output"
+ echo " --quiet Quiet suppressed progress output"
+ echo " --download Download the latest config.guess from gnulib"
+ echo " --version Only perform GNU Build System version checks"
+ echo
+ echo "Description: This script will validate that minimum versions of the"
+ echo "GNU Build System tools are installed and then run autoreconf for you."
+ echo "Should autoreconf fail, manual preparation steps will be run"
+ echo "potentially accounting for several common preparation issues. The"
+
+ echo "AUTORECONF, AUTOCONF, AUTOMAKE, LIBTOOLIZE, ACLOCAL, AUTOHEADER,"
+ echo "PROJECT, & CONFIGURE environment variables and corresponding _OPTIONS"
+ echo "variables (e.g. AUTORECONF_OPTIONS) may be used to override the"
+ echo "default automatic detection behavior."
+ echo
+
+ ident
+
+ return 0
+}
+
+
+##########################
+# VERSION_ERROR FUNCTION #
+##########################
+version_error ( ) {
+ if [ "x$1" = "x" ] ; then
+ echo "INTERNAL ERROR: version_error was not provided a version"
+ exit 1
+ fi
+ if [ "x$2" = "x" ] ; then
+ echo "INTERNAL ERROR: version_error was not provided an application name"
+ exit 1
+ fi
+ $ECHO
+ $ECHO "ERROR: To prepare the ${PROJECT} build system from scratch,"
+ $ECHO " at least version $1 of $2 must be installed."
+ $ECHO
+ $ECHO "$NAME_OF_AUTOGEN does not need to be run on the same machine that will"
+ $ECHO "run configure or make. Either the GNU Autotools will need to be installed"
+ $ECHO "or upgraded on this system, or $NAME_OF_AUTOGEN must be run on the source"
+ $ECHO "code on another system and then transferred to here. -- Cheers!"
+ $ECHO
+}
+
+##########################
+# VERSION_CHECK FUNCTION #
+##########################
+version_check ( ) {
+ if [ "x$1" = "x" ] ; then
+ echo "INTERNAL ERROR: version_check was not provided a minimum version"
+ exit 1
+ fi
+ _min="$1"
+ if [ "x$2" = "x" ] ; then
+ echo "INTERNAL ERROR: version check was not provided a comparison version"
+ exit 1
+ fi
+ _cur="$2"
+
+ # needed to handle versions like 1.10 and 1.4-p6
+ _min="`echo ${_min}. | sed 's/[^0-9]/./g' | sed 's/\.\././g'`"
+ _cur="`echo ${_cur}. | sed 's/[^0-9]/./g' | sed 's/\.\././g'`"
+
+ _min_major="`echo $_min | cut -d. -f1`"
+ _min_minor="`echo $_min | cut -d. -f2`"
+ _min_patch="`echo $_min | cut -d. -f3`"
+
+ _cur_major="`echo $_cur | cut -d. -f1`"
+ _cur_minor="`echo $_cur | cut -d. -f2`"
+ _cur_patch="`echo $_cur | cut -d. -f3`"
+
+ if [ "x$_min_major" = "x" ] ; then
+ _min_major=0
+ fi
+ if [ "x$_min_minor" = "x" ] ; then
+ _min_minor=0
+ fi
+ if [ "x$_min_patch" = "x" ] ; then
+ _min_patch=0
+ fi
+ if [ "x$_cur_minor" = "x" ] ; then
+ _cur_major=0
+ fi
+ if [ "x$_cur_minor" = "x" ] ; then
+ _cur_minor=0
+ fi
+ if [ "x$_cur_patch" = "x" ] ; then
+ _cur_patch=0
+ fi
+
+ $VERBOSE_ECHO "Checking if ${_cur_major}.${_cur_minor}.${_cur_patch} is greater than ${_min_major}.${_min_minor}.${_min_patch}"
+
+ if [ $_min_major -lt $_cur_major ] ; then
+ return 0
+ elif [ $_min_major -eq $_cur_major ] ; then
+ if [ $_min_minor -lt $_cur_minor ] ; then
+ return 0
+ elif [ $_min_minor -eq $_cur_minor ] ; then
+ if [ $_min_patch -lt $_cur_patch ] ; then
+ return 0
+ elif [ $_min_patch -eq $_cur_patch ] ; then
+ return 0
+ fi
+ fi
+ fi
+ return 1
+}
+
+
+######################################
+# LOCATE_CONFIGURE_TEMPLATE FUNCTION #
+######################################
+locate_configure_template ( ) {
+ _pwd="`pwd`"
+ if test -f "./configure.ac" ; then
+ echo "./configure.ac"
+ elif test -f "./configure.in" ; then
+ echo "./configure.in"
+ elif test -f "$_pwd/configure.ac" ; then
+ echo "$_pwd/configure.ac"
+ elif test -f "$_pwd/configure.in" ; then
+ echo "$_pwd/configure.in"
+ elif test -f "$PATH_TO_AUTOGEN/configure.ac" ; then
+ echo "$PATH_TO_AUTOGEN/configure.ac"
+ elif test -f "$PATH_TO_AUTOGEN/configure.in" ; then
+ echo "$PATH_TO_AUTOGEN/configure.in"
+ fi
+}
+
+
+##################
+# argument check #
+##################
+ARGS="$*"
+PATH_TO_AUTOGEN="`dirname $0`"
+NAME_OF_AUTOGEN="`basename $0`"
+AUTOGEN_SH="$PATH_TO_AUTOGEN/$NAME_OF_AUTOGEN"
+
+LIBTOOL_M4="${PATH_TO_AUTOGEN}/misc/libtool.m4"
+
+if [ "x$HELP" = "x" ] ; then
+ HELP=no
+fi
+if [ "x$QUIET" = "x" ] ; then
+ QUIET=no
+fi
+if [ "x$VERBOSE" = "x" ] ; then
+ VERBOSE=no
+fi
+if [ "x$VERSION_ONLY" = "x" ] ; then
+ VERSION_ONLY=no
+fi
+if [ "x$DOWNLOAD" = "x" ] ; then
+ DOWNLOAD=no
+fi
+if [ "x$AUTORECONF_OPTIONS" = "x" ] ; then
+ AUTORECONF_OPTIONS="-i -f"
+fi
+if [ "x$AUTOCONF_OPTIONS" = "x" ] ; then
+ AUTOCONF_OPTIONS="-f"
+fi
+if [ "x$AUTOMAKE_OPTIONS" = "x" ] ; then
+ AUTOMAKE_OPTIONS="-a -c -f"
+fi
+ALT_AUTOMAKE_OPTIONS="-a -c"
+if [ "x$LIBTOOLIZE_OPTIONS" = "x" ] ; then
+ LIBTOOLIZE_OPTIONS="--automake -c -f"
+fi
+ALT_LIBTOOLIZE_OPTIONS="--automake --copy --force"
+if [ "x$ACLOCAL_OPTIONS" = "x" ] ; then
+ ACLOCAL_OPTIONS=""
+fi
+if [ "x$AUTOHEADER_OPTIONS" = "x" ] ; then
+ AUTOHEADER_OPTIONS=""
+fi
+if [ "x$CONFIG_GUESS_URL" = "x" ] ; then
+ CONFIG_GUESS_URL="http://git.savannah.gnu.org/gitweb/?p=gnulib.git;a=blob_plain;f=build-aux/config.guess;hb=HEAD"
+fi
+for arg in $ARGS ; do
+ case "x$arg" in
+ x--help) HELP=yes ;;
+ x-[hH]) HELP=yes ;;
+ x--quiet) QUIET=yes ;;
+ x-[qQ]) QUIET=yes ;;
+ x--verbose) VERBOSE=yes ;;
+ x-[dD]) DOWNLOAD=yes ;;
+ x--download) DOWNLOAD=yes ;;
+ x-[vV]) VERBOSE=yes ;;
+ x--version) VERSION_ONLY=yes ;;
+ *)
+ echo "Unknown option: $arg"
+ echo
+ usage
+ exit 1
+ ;;
+ esac
+done
+
+
+#####################
+# environment check #
+#####################
+
+# sanity check before recursions potentially begin
+if [ ! -f "$AUTOGEN_SH" ] ; then
+ echo "INTERNAL ERROR: $AUTOGEN_SH does not exist"
+ if [ ! "x$0" = "x$AUTOGEN_SH" ] ; then
+ echo "INTERNAL ERROR: dirname/basename inconsistency: $0 != $AUTOGEN_SH"
+ fi
+ exit 1
+fi
+
+# force locale setting to C so things like date output as expected
+LC_ALL=C
+
+# commands that this script expects
+for __cmd in echo head tail pwd ; do
+ echo "test" | $__cmd > /dev/null 2>&1
+ if [ $? != 0 ] ; then
+ echo "INTERNAL ERROR: '${__cmd}' command is required"
+ exit 2
+ fi
+done
+echo "test" | grep "test" > /dev/null 2>&1
+if test ! x$? = x0 ; then
+ echo "INTERNAL ERROR: grep command is required"
+ exit 1
+fi
+echo "test" | sed "s/test/test/" > /dev/null 2>&1
+if test ! x$? = x0 ; then
+ echo "INTERNAL ERROR: sed command is required"
+ exit 1
+fi
+
+
+# determine the behavior of echo
+case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in
+ *c*,-n*) ECHO_N= ECHO_C='
+' ECHO_T=' ' ;;
+ *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;;
+ *) ECHO_N= ECHO_C='\c' ECHO_T= ;;
+esac
+
+# determine the behavior of head
+case "x`echo 'head' | head -n 1 2>&1`" in
+ *xhead*) HEAD_N="n " ;;
+ *) HEAD_N="" ;;
+esac
+
+# determine the behavior of tail
+case "x`echo 'tail' | tail -n 1 2>&1`" in
+ *xtail*) TAIL_N="n " ;;
+ *) TAIL_N="" ;;
+esac
+
+VERBOSE_ECHO=:
+ECHO=:
+if [ "x$QUIET" = "xyes" ] ; then
+ if [ "x$VERBOSE" = "xyes" ] ; then
+ echo "Verbose output quelled by quiet option. Further output disabled."
+ fi
+else
+ ECHO=echo
+ if [ "x$VERBOSE" = "xyes" ] ; then
+ echo "Verbose output enabled"
+ VERBOSE_ECHO=echo
+ fi
+fi
+
+
+# allow a recursive run to disable further recursions
+if [ "x$RUN_RECURSIVE" = "x" ] ; then
+ RUN_RECURSIVE=yes
+fi
+
+
+################################################
+# check for help arg and bypass version checks #
+################################################
+if [ "x`echo $ARGS | sed 's/.*[hH][eE][lL][pP].*/help/'`" = "xhelp" ] ; then
+ HELP=yes
+fi
+if [ "x$HELP" = "xyes" ] ; then
+ usage
+ $ECHO "---"
+ $ECHO "Help was requested. No preparation or configuration will be performed."
+ exit 0
+fi
+
+
+#######################
+# set up signal traps #
+#######################
+untrap_abnormal ( ) {
+ for sig in 1 2 13 15; do
+ trap - $sig
+ done
+}
+
+# do this cleanup whenever we exit.
+trap '
+ # start from the root
+ if test -d "$START_PATH" ; then
+ cd "$START_PATH"
+ fi
+
+ # restore/delete backup files
+ if test "x$PFC_INIT" = "x1" ; then
+ recursive_restore
+ fi
+' 0
+
+# trap SIGHUP (1), SIGINT (2), SIGPIPE (13), SIGTERM (15)
+for sig in 1 2 13 15; do
+ trap '
+ $ECHO ""
+ $ECHO "Aborting $NAME_OF_AUTOGEN: caught signal '$sig'"
+
+ # start from the root
+ if test -d "$START_PATH" ; then
+ cd "$START_PATH"
+ fi
+
+ # clean up on abnormal exit
+ $VERBOSE_ECHO "rm -rf autom4te.cache"
+ rm -rf autom4te.cache
+
+ if test -f "acinclude.m4.$$.backup" ; then
+ $VERBOSE_ECHO "cat acinclude.m4.$$.backup > acinclude.m4"
+ chmod u+w acinclude.m4
+ cat acinclude.m4.$$.backup > acinclude.m4
+
+ $VERBOSE_ECHO "rm -f acinclude.m4.$$.backup"
+ rm -f acinclude.m4.$$.backup
+ fi
+
+ { (exit 1); exit 1; }
+' $sig
+done
+
+
+#############################
+# look for a configure file #
+#############################
+if [ "x$CONFIGURE" = "x" ] ; then
+ CONFIGURE="`locate_configure_template`"
+ if [ ! "x$CONFIGURE" = "x" ] ; then
+ $VERBOSE_ECHO "Found a configure template: $CONFIGURE"
+ fi
+else
+ $ECHO "Using CONFIGURE environment variable override: $CONFIGURE"
+fi
+if [ "x$CONFIGURE" = "x" ] ; then
+ if [ "x$VERSION_ONLY" = "xyes" ] ; then
+ CONFIGURE=/dev/null
+ else
+ $ECHO
+ $ECHO "A configure.ac or configure.in file could not be located implying"
+ $ECHO "that the GNU Build System is at least not used in this directory. In"
+ $ECHO "any case, there is nothing to do here without one of those files."
+ $ECHO
+ $ECHO "ERROR: No configure.in or configure.ac file found in `pwd`"
+ exit 1
+ fi
+fi
+
+####################
+# get project name #
+####################
+if [ "x$PROJECT" = "x" ] ; then
+ PROJECT="`grep AC_INIT $CONFIGURE | grep -v '.*#.*AC_INIT' | tail -${TAIL_N}1 | sed 's/^[ ]*AC_INIT(\([^,)]*\).*/\1/' | sed 's/.*\[\(.*\)\].*/\1/'`"
+ if [ "x$PROJECT" = "xAC_INIT" ] ; then
+ # projects might be using the older/deprecated arg-less AC_INIT .. look for AM_INIT_AUTOMAKE instead
+ PROJECT="`grep AM_INIT_AUTOMAKE $CONFIGURE | grep -v '.*#.*AM_INIT_AUTOMAKE' | tail -${TAIL_N}1 | sed 's/^[ ]*AM_INIT_AUTOMAKE(\([^,)]*\).*/\1/' | sed 's/.*\[\(.*\)\].*/\1/'`"
+ fi
+ if [ "x$PROJECT" = "xAM_INIT_AUTOMAKE" ] ; then
+ PROJECT="project"
+ fi
+ if [ "x$PROJECT" = "x" ] ; then
+ PROJECT="project"
+ fi
+else
+ $ECHO "Using PROJECT environment variable override: $PROJECT"
+fi
+$ECHO "Preparing the $PROJECT build system...please wait"
+$ECHO
+
+
+########################
+# check for autoreconf #
+########################
+HAVE_AUTORECONF=no
+if [ "x$AUTORECONF" = "x" ] ; then
+ for AUTORECONF in autoreconf ; do
+ $VERBOSE_ECHO "Checking autoreconf version: $AUTORECONF --version"
+ $AUTORECONF --version > /dev/null 2>&1
+ if [ $? = 0 ] ; then
+ HAVE_AUTORECONF=yes
+ break
+ fi
+ done
+else
+ HAVE_AUTORECONF=yes
+ $ECHO "Using AUTORECONF environment variable override: $AUTORECONF"
+fi
+
+
+##########################
+# autoconf version check #
+##########################
+_acfound=no
+if [ "x$AUTOCONF" = "x" ] ; then
+ for AUTOCONF in autoconf ; do
+ $VERBOSE_ECHO "Checking autoconf version: $AUTOCONF --version"
+ $AUTOCONF --version > /dev/null 2>&1
+ if [ $? = 0 ] ; then
+ _acfound=yes
+ break
+ fi
+ done
+else
+ _acfound=yes
+ $ECHO "Using AUTOCONF environment variable override: $AUTOCONF"
+fi
+
+_report_error=no
+if [ ! "x$_acfound" = "xyes" ] ; then
+ $ECHO "ERROR: Unable to locate GNU Autoconf."
+ _report_error=yes
+else
+ _version="`$AUTOCONF --version | head -${HEAD_N}1 | sed 's/[^0-9]*\([0-9\.][0-9\.]*\)/\1/'`"
+ if [ "x$_version" = "x" ] ; then
+ _version="0.0.0"
+ fi
+ $ECHO "Found GNU Autoconf version $_version"
+ version_check "$AUTOCONF_VERSION" "$_version"
+ if [ $? -ne 0 ] ; then
+ _report_error=yes
+ fi
+fi
+if [ "x$_report_error" = "xyes" ] ; then
+ version_error "$AUTOCONF_VERSION" "GNU Autoconf"
+ exit 1
+fi
+
+
+##########################
+# automake version check #
+##########################
+_amfound=no
+if [ "x$AUTOMAKE" = "x" ] ; then
+ for AUTOMAKE in automake ; do
+ $VERBOSE_ECHO "Checking automake version: $AUTOMAKE --version"
+ $AUTOMAKE --version > /dev/null 2>&1
+ if [ $? = 0 ] ; then
+ _amfound=yes
+ break
+ fi
+ done
+else
+ _amfound=yes
+ $ECHO "Using AUTOMAKE environment variable override: $AUTOMAKE"
+fi
+
+
+_report_error=no
+if [ ! "x$_amfound" = "xyes" ] ; then
+ $ECHO
+ $ECHO "ERROR: Unable to locate GNU Automake."
+ _report_error=yes
+else
+ _version="`$AUTOMAKE --version | head -${HEAD_N}1 | sed 's/[^0-9]*\([0-9\.][0-9\.]*\)/\1/'`"
+ if [ "x$_version" = "x" ] ; then
+ _version="0.0.0"
+ fi
+ $ECHO "Found GNU Automake version $_version"
+ version_check "$AUTOMAKE_VERSION" "$_version"
+ if [ $? -ne 0 ] ; then
+ _report_error=yes
+ fi
+fi
+if [ "x$_report_error" = "xyes" ] ; then
+ version_error "$AUTOMAKE_VERSION" "GNU Automake"
+ exit 1
+fi
+
+
+########################
+# check for libtoolize #
+########################
+HAVE_LIBTOOLIZE=yes
+HAVE_ALT_LIBTOOLIZE=no
+_ltfound=no
+if [ "x$LIBTOOLIZE" = "x" ] ; then
+ LIBTOOLIZE=libtoolize
+ $VERBOSE_ECHO "Checking libtoolize version: $LIBTOOLIZE --version"
+ $LIBTOOLIZE --version > /dev/null 2>&1
+ if [ ! $? = 0 ] ; then
+ HAVE_LIBTOOLIZE=no
+ $ECHO
+ if [ "x$HAVE_AUTORECONF" = "xno" ] ; then
+ $ECHO "Warning: libtoolize does not appear to be available."
+ else
+ $ECHO "Warning: libtoolize does not appear to be available. This means that"
+ $ECHO "the automatic build preparation via autoreconf will probably not work."
+ $ECHO "Preparing the build by running each step individually, however, should"
+ $ECHO "work and will be done automatically for you if autoreconf fails."
+ fi
+
+ # look for some alternates
+ for tool in glibtoolize libtoolize15 libtoolize14 libtoolize13 ; do
+ $VERBOSE_ECHO "Checking libtoolize alternate: $tool --version"
+ _glibtoolize="`$tool --version > /dev/null 2>&1`"
+ if [ $? = 0 ] ; then
+ $VERBOSE_ECHO "Found $tool --version"
+ _glti="`which $tool`"
+ if [ "x$_glti" = "x" ] ; then
+ $VERBOSE_ECHO "Cannot find $tool with which"
+ continue;
+ fi
+ if test ! -f "$_glti" ; then
+ $VERBOSE_ECHO "Cannot use $tool, $_glti is not a file"
+ continue;
+ fi
+ _gltidir="`dirname $_glti`"
+ if [ "x$_gltidir" = "x" ] ; then
+ $VERBOSE_ECHO "Cannot find $tool path with dirname of $_glti"
+ continue;
+ fi
+ if test ! -d "$_gltidir" ; then
+ $VERBOSE_ECHO "Cannot use $tool, $_gltidir is not a directory"
+ continue;
+ fi
+ HAVE_ALT_LIBTOOLIZE=yes
+ LIBTOOLIZE="$tool"
+ $ECHO
+ $ECHO "Fortunately, $tool was found which means that your system may simply"
+ $ECHO "have a non-standard or incomplete GNU Autotools install. If you have"
+ $ECHO "sufficient system access, it may be possible to quell this warning by"
+ $ECHO "running:"
+ $ECHO
+ sudo -V > /dev/null 2>&1
+ if [ $? = 0 ] ; then
+ $ECHO " sudo ln -s $_glti $_gltidir/libtoolize"
+ $ECHO
+ else
+ $ECHO " ln -s $_glti $_gltidir/libtoolize"
+ $ECHO
+ $ECHO "Run that as root or with proper permissions to the $_gltidir directory"
+ $ECHO
+ fi
+ _ltfound=yes
+ break
+ fi
+ done
+ else
+ _ltfound=yes
+ fi
+else
+ _ltfound=yes
+ $ECHO "Using LIBTOOLIZE environment variable override: $LIBTOOLIZE"
+fi
+
+
+############################
+# libtoolize version check #
+############################
+_report_error=no
+if [ ! "x$_ltfound" = "xyes" ] ; then
+ $ECHO
+ $ECHO "ERROR: Unable to locate GNU Libtool."
+ _report_error=yes
+else
+ _version="`$LIBTOOLIZE --version | head -${HEAD_N}1 | sed 's/[^0-9]*\([0-9\.][0-9\.]*\)/\1/'`"
+ if [ "x$_version" = "x" ] ; then
+ _version="0.0.0"
+ fi
+ $ECHO "Found GNU Libtool version $_version"
+ version_check "$LIBTOOL_VERSION" "$_version"
+ if [ $? -ne 0 ] ; then
+ _report_error=yes
+ fi
+fi
+if [ "x$_report_error" = "xyes" ] ; then
+ version_error "$LIBTOOL_VERSION" "GNU Libtool"
+ exit 1
+fi
+
+
+#####################
+# check for aclocal #
+#####################
+if [ "x$ACLOCAL" = "x" ] ; then
+ for ACLOCAL in aclocal ; do
+ $VERBOSE_ECHO "Checking aclocal version: $ACLOCAL --version"
+ $ACLOCAL --version > /dev/null 2>&1
+ if [ $? = 0 ] ; then
+ break
+ fi
+ done
+else
+ $ECHO "Using ACLOCAL environment variable override: $ACLOCAL"
+fi
+
+
+########################
+# check for autoheader #
+########################
+if [ "x$AUTOHEADER" = "x" ] ; then
+ for AUTOHEADER in autoheader ; do
+ $VERBOSE_ECHO "Checking autoheader version: $AUTOHEADER --version"
+ $AUTOHEADER --version > /dev/null 2>&1
+ if [ $? = 0 ] ; then
+ break
+ fi
+ done
+else
+ $ECHO "Using AUTOHEADER environment variable override: $AUTOHEADER"
+fi
+
+
+#########################
+# check if version only #
+#########################
+$VERBOSE_ECHO "Checking whether to only output version information"
+if [ "x$VERSION_ONLY" = "xyes" ] ; then
+ $ECHO
+ ident
+ $ECHO "---"
+ $ECHO "Version requested. No preparation or configuration will be performed."
+ exit 0
+fi
+
+
+#################################
+# PROTECT_FROM_CLOBBER FUNCTION #
+#################################
+protect_from_clobber ( ) {
+ PFC_INIT=1
+
+ # protect COPYING & INSTALL from overwrite by automake. the
+ # automake force option will (inappropriately) ignore the existing
+ # contents of a COPYING and/or INSTALL files (depending on the
+ # version) instead of just forcing *missing* files like it does
+ # for AUTHORS, NEWS, and README. this is broken but extremely
+ # prevalent behavior, so we protect against it by keeping a backup
+ # of the file that can later be restored.
+
+ for file in COPYING INSTALL ; do
+ if test -f ${file} ; then
+ if test -f ${file}.$$.protect_from_automake.backup ; then
+ $VERBOSE_ECHO "Already backed up ${file} in `pwd`"
+ else
+ $VERBOSE_ECHO "Backing up ${file} in `pwd`"
+ $VERBOSE_ECHO "cp -p ${file} ${file}.$$.protect_from_automake.backup"
+ cp -p ${file} ${file}.$$.protect_from_automake.backup
+ fi
+ fi
+ done
+}
+
+
+##############################
+# RECURSIVE_PROTECT FUNCTION #
+##############################
+recursive_protect ( ) {
+
+ # for projects using recursive configure, run the build
+ # preparation steps for the subdirectories. this function assumes
+ # START_PATH was set to pwd before recursion begins so that
+ # relative paths work.
+
+ # git 'r done, protect COPYING and INSTALL from being clobbered
+ protect_from_clobber
+
+ if test -d autom4te.cache ; then
+ $VERBOSE_ECHO "Found an autom4te.cache directory, deleting it"
+ $VERBOSE_ECHO "rm -rf autom4te.cache"
+ rm -rf autom4te.cache
+ fi
+
+ # find configure template
+ _configure="`locate_configure_template`"
+ if [ "x$_configure" = "x" ] ; then
+ return
+ fi
+ # $VERBOSE_ECHO "Looking for configure template found `pwd`/$_configure"
+
+ # look for subdirs
+ # $VERBOSE_ECHO "Looking for subdirs in `pwd`"
+ _det_config_subdirs="`grep AC_CONFIG_SUBDIRS $_configure | grep -v '.*#.*AC_CONFIG_SUBDIRS' | sed 's/^[ ]*AC_CONFIG_SUBDIRS(\(.*\)).*/\1/' | sed 's/.*\[\(.*\)\].*/\1/'`"
+ CHECK_DIRS=""
+ for dir in $_det_config_subdirs ; do
+ if test -d "`pwd`/$dir" ; then
+ CHECK_DIRS="$CHECK_DIRS \"`pwd`/$dir\""
+ fi
+ done
+
+ # process subdirs
+ if [ ! "x$CHECK_DIRS" = "x" ] ; then
+ $VERBOSE_ECHO "Recursively scanning the following directories:"
+ $VERBOSE_ECHO " $CHECK_DIRS"
+ for dir in $CHECK_DIRS ; do
+ $VERBOSE_ECHO "Protecting files from automake in $dir"
+ cd "$START_PATH"
+ eval "cd $dir"
+
+ # recursively git 'r done
+ recursive_protect
+ done
+ fi
+} # end of recursive_protect
+
+
+#############################
+# RESTORE_CLOBBERED FUNCION #
+#############################
+restore_clobbered ( ) {
+
+ # The automake (and autoreconf by extension) -f/--force-missing
+ # option may overwrite COPYING and INSTALL even if they do exist.
+ # Here we restore the files if necessary.
+
+ spacer=no
+
+ for file in COPYING INSTALL ; do
+ if test -f ${file}.$$.protect_from_automake.backup ; then
+ if test -f ${file} ; then
+ # compare entire content, restore if needed
+ if test "x`cat ${file}`" != "x`cat ${file}.$$.protect_from_automake.backup`" ; then
+ if test "x$spacer" = "xno" ; then
+ $VERBOSE_ECHO
+ spacer=yes
+ fi
+ # restore the backup
+ $VERBOSE_ECHO "Restoring ${file} from backup (automake -f likely clobbered it)"
+ $VERBOSE_ECHO "rm -f ${file}"
+ rm -f ${file}
+ $VERBOSE_ECHO "mv ${file}.$$.protect_from_automake.backup ${file}"
+ mv ${file}.$$.protect_from_automake.backup ${file}
+ fi # check contents
+ elif test -f ${file}.$$.protect_from_automake.backup ; then
+ $VERBOSE_ECHO "mv ${file}.$$.protect_from_automake.backup ${file}"
+ mv ${file}.$$.protect_from_automake.backup ${file}
+ fi # -f ${file}
+
+ # just in case
+ $VERBOSE_ECHO "rm -f ${file}.$$.protect_from_automake.backup"
+ rm -f ${file}.$$.protect_from_automake.backup
+ fi # -f ${file}.$$.protect_from_automake.backup
+ done
+
+ CONFIGURE="`locate_configure_template`"
+ if [ "x$CONFIGURE" = "x" ] ; then
+ return
+ fi
+
+ _aux_dir="`grep AC_CONFIG_AUX_DIR $CONFIGURE | grep -v '.*#.*AC_CONFIG_AUX_DIR' | tail -${TAIL_N}1 | sed 's/^[ ]*AC_CONFIG_AUX_DIR(\(.*\)).*/\1/' | sed 's/.*\[\(.*\)\].*/\1/'`"
+ if test ! -d "$_aux_dir" ; then
+ _aux_dir=.
+ fi
+
+ for file in config.guess config.sub ltmain.sh ; do
+ if test -f "${_aux_dir}/${file}" ; then
+ $VERBOSE_ECHO "rm -f \"${_aux_dir}/${file}.backup\""
+ rm -f "${_aux_dir}/${file}.backup"
+ fi
+ done
+} # end of restore_clobbered
+
+
+##############################
+# RECURSIVE_RESTORE FUNCTION #
+##############################
+recursive_restore ( ) {
+
+ # restore COPYING and INSTALL from backup if they were clobbered
+ # for each directory recursively.
+
+ # git 'r undone
+ restore_clobbered
+
+ # find configure template
+ _configure="`locate_configure_template`"
+ if [ "x$_configure" = "x" ] ; then
+ return
+ fi
+
+ # look for subdirs
+ _det_config_subdirs="`grep AC_CONFIG_SUBDIRS $_configure | grep -v '.*#.*AC_CONFIG_SUBDIRS' | sed 's/^[ ]*AC_CONFIG_SUBDIRS(\(.*\)).*/\1/' | sed 's/.*\[\(.*\)\].*/\1/'`"
+ CHECK_DIRS=""
+ for dir in $_det_config_subdirs ; do
+ if test -d "`pwd`/$dir" ; then
+ CHECK_DIRS="$CHECK_DIRS \"`pwd`/$dir\""
+ fi
+ done
+
+ # process subdirs
+ if [ ! "x$CHECK_DIRS" = "x" ] ; then
+ $VERBOSE_ECHO "Recursively scanning the following directories:"
+ $VERBOSE_ECHO " $CHECK_DIRS"
+ for dir in $CHECK_DIRS ; do
+ $VERBOSE_ECHO "Checking files for automake damage in $dir"
+ cd "$START_PATH"
+ eval "cd $dir"
+
+ # recursively git 'r undone
+ recursive_restore
+ done
+ fi
+} # end of recursive_restore
+
+
+#######################
+# INITIALIZE FUNCTION #
+#######################
+initialize ( ) {
+
+ # this routine performs a variety of directory-specific
+ # initializations. some are sanity checks, some are preventive,
+ # and some are necessary setup detection.
+ #
+ # this function sets:
+ # CONFIGURE
+ # SEARCH_DIRS
+ # CONFIG_SUBDIRS
+
+ ##################################
+ # check for a configure template #
+ ##################################
+ CONFIGURE="`locate_configure_template`"
+ if [ "x$CONFIGURE" = "x" ] ; then
+ $ECHO
+ $ECHO "A configure.ac or configure.in file could not be located implying"
+ $ECHO "that the GNU Build System is at least not used in this directory. In"
+ $ECHO "any case, there is nothing to do here without one of those files."
+ $ECHO
+ $ECHO "ERROR: No configure.in or configure.ac file found in `pwd`"
+ exit 1
+ fi
+
+ #####################
+ # detect an aux dir #
+ #####################
+ _aux_dir="`grep AC_CONFIG_AUX_DIR $CONFIGURE | grep -v '.*#.*AC_CONFIG_AUX_DIR' | tail -${TAIL_N}1 | sed 's/^[ ]*AC_CONFIG_AUX_DIR(\(.*\)).*/\1/' | sed 's/.*\[\(.*\)\].*/\1/'`"
+ if test ! -d "$_aux_dir" ; then
+ _aux_dir=.
+ else
+ $VERBOSE_ECHO "Detected auxillary directory: $_aux_dir"
+ fi
+
+ ################################
+ # detect a recursive configure #
+ ################################
+ CONFIG_SUBDIRS=""
+ _det_config_subdirs="`grep AC_CONFIG_SUBDIRS $CONFIGURE | grep -v '.*#.*AC_CONFIG_SUBDIRS' | sed 's/^[ ]*AC_CONFIG_SUBDIRS(\(.*\)).*/\1/' | sed 's/.*\[\(.*\)\].*/\1/'`"
+ for dir in $_det_config_subdirs ; do
+ if test -d "`pwd`/$dir" ; then
+ $VERBOSE_ECHO "Detected recursive configure directory: `pwd`/$dir"
+ CONFIG_SUBDIRS="$CONFIG_SUBDIRS `pwd`/$dir"
+ fi
+ done
+
+ ###########################################################
+ # make sure certain required files exist for GNU projects #
+ ###########################################################
+ _marker_found=""
+ _marker_found_message_intro='Detected non-GNU marker "'
+ _marker_found_message_mid='" in '
+ for marker in foreign cygnus ; do
+ _marker_found_message=${_marker_found_message_intro}${marker}${_marker_found_message_mid}
+ _marker_found="`grep 'AM_INIT_AUTOMAKE.*'${marker} $CONFIGURE`"
+ if [ ! "x$_marker_found" = "x" ] ; then
+ $VERBOSE_ECHO "${_marker_found_message}`basename \"$CONFIGURE\"`"
+ break
+ fi
+ if test -f "`dirname \"$CONFIGURE\"/Makefile.am`" ; then
+ _marker_found="`grep 'AUTOMAKE_OPTIONS.*'${marker} Makefile.am`"
+ if [ ! "x$_marker_found" = "x" ] ; then
+ $VERBOSE_ECHO "${_marker_found_message}Makefile.am"
+ break
+ fi
+ fi
+ done
+ if [ "x${_marker_found}" = "x" ] ; then
+ _suggest_foreign=no
+ for file in AUTHORS COPYING ChangeLog INSTALL NEWS README ; do
+ if [ ! -f $file ] ; then
+ $VERBOSE_ECHO "Touching ${file} since it does not exist"
+ _suggest_foreign=yes
+ touch $file
+ fi
+ done
+
+ if [ "x${_suggest_foreign}" = "xyes" ] ; then
+ $ECHO
+ $ECHO "Warning: Several files expected of projects that conform to the GNU"
+ $ECHO "coding standards were not found. The files were automatically added"
+ $ECHO "for you since you do not have a 'foreign' declaration specified."
+ $ECHO
+ $ECHO "Considered adding 'foreign' to AM_INIT_AUTOMAKE in `basename \"$CONFIGURE\"`"
+ if test -f "`dirname \"$CONFIGURE\"/Makefile.am`" ; then
+ $ECHO "or to AUTOMAKE_OPTIONS in your top-level Makefile.am file."
+ fi
+ $ECHO
+ fi
+ fi
+
+ ##################################################
+ # make sure certain generated files do not exist #
+ ##################################################
+ for file in config.guess config.sub ltmain.sh ; do
+ if test -f "${_aux_dir}/${file}" ; then
+ $VERBOSE_ECHO "mv -f \"${_aux_dir}/${file}\" \"${_aux_dir}/${file}.backup\""
+ mv -f "${_aux_dir}/${file}" "${_aux_dir}/${file}.backup"
+ fi
+ done
+
+ ############################
+ # search alternate m4 dirs #
+ ############################
+ SEARCH_DIRS=""
+ for dir in m4 ; do
+ if [ -d $dir ] ; then
+ $VERBOSE_ECHO "Found extra aclocal search directory: $dir"
+ SEARCH_DIRS="$SEARCH_DIRS -I $dir"
+ fi
+ done
+
+ ######################################
+ # remove any previous build products #
+ ######################################
+ if test -d autom4te.cache ; then
+ $VERBOSE_ECHO "Found an autom4te.cache directory, deleting it"
+ $VERBOSE_ECHO "rm -rf autom4te.cache"
+ rm -rf autom4te.cache
+ fi
+# tcl/tk (and probably others) have a customized aclocal.m4, so can't delete it
+# if test -f aclocal.m4 ; then
+# $VERBOSE_ECHO "Found an aclocal.m4 file, deleting it"
+# $VERBOSE_ECHO "rm -f aclocal.m4"
+# rm -f aclocal.m4
+# fi
+
+} # end of initialize()
+
+
+##############
+# initialize #
+##############
+
+# stash path
+START_PATH="`pwd`"
+
+# Before running autoreconf or manual steps, some prep detection work
+# is necessary or useful. Only needs to occur once per directory, but
+# does need to traverse the entire subconfigure hierarchy to protect
+# files from being clobbered even by autoreconf.
+recursive_protect
+
+# start from where we started
+cd "$START_PATH"
+
+# get ready to process
+initialize
+
+
+#########################################
+# DOWNLOAD_GNULIB_CONFIG_GUESS FUNCTION #
+#########################################
+
+# TODO - should make sure wget/curl exist and/or work before trying to
+# use them.
+
+download_gnulib_config_guess () {
+ # abuse gitweb to download gnulib's latest config.guess via HTTP
+ config_guess_temp="config.guess.$$.download"
+ ret=1
+ for __cmd in wget curl fetch ; do
+ $VERBOSE_ECHO "Checking for command ${__cmd}"
+ ${__cmd} --version > /dev/null 2>&1
+ ret=$?
+ if [ ! $ret = 0 ] ; then
+ continue
+ fi
+
+ __cmd_version=`${__cmd} --version | head -n 1 | sed -e 's/^[^0-9]\+//' -e 's/ .*//'`
+ $VERBOSE_ECHO "Found ${__cmd} ${__cmd_version}"
+
+ opts=""
+ case ${__cmd} in
+ wget)
+ opts="-O"
+ ;;
+ curl)
+ opts="-o"
+ ;;
+ fetch)
+ opts="-t 5 -f"
+ ;;
+ esac
+
+ $VERBOSE_ECHO "Running $__cmd \"${CONFIG_GUESS_URL}\" $opts \"${config_guess_temp}\""
+ eval "$__cmd \"${CONFIG_GUESS_URL}\" $opts \"${config_guess_temp}\"" > /dev/null 2>&1
+ if [ $? = 0 ] ; then
+ mv -f "${config_guess_temp}" ${_aux_dir}/config.guess
+ ret=0
+ break
+ fi
+ done
+
+ if [ ! $ret = 0 ] ; then
+ $ECHO "Warning: config.guess download failed from: $CONFIG_GUESS_URL"
+ rm -f "${config_guess_temp}"
+ fi
+}
+
+
+##############################
+# LIBTOOLIZE_NEEDED FUNCTION #
+##############################
+libtoolize_needed () {
+ ret=1 # means no, don't need libtoolize
+ for feature in AC_PROG_LIBTOOL AM_PROG_LIBTOOL LT_INIT ; do
+ $VERBOSE_ECHO "Searching for $feature in $CONFIGURE"
+ found="`grep \"^$feature.*\" $CONFIGURE`"
+ if [ ! "x$found" = "x" ] ; then
+ ret=0 # means yes, need to run libtoolize
+ break
+ fi
+ done
+ return ${ret}
+}
+
+
+
+############################################
+# prepare build via autoreconf or manually #
+############################################
+reconfigure_manually=no
+if [ "x$HAVE_AUTORECONF" = "xyes" ] ; then
+ $ECHO
+ $ECHO $ECHO_N "Automatically preparing build ... $ECHO_C"
+
+ $VERBOSE_ECHO "$AUTORECONF $SEARCH_DIRS $AUTORECONF_OPTIONS"
+ autoreconf_output="`$AUTORECONF $SEARCH_DIRS $AUTORECONF_OPTIONS 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$autoreconf_output"
+
+ if [ ! $ret = 0 ] ; then
+ if [ "x$HAVE_ALT_LIBTOOLIZE" = "xyes" ] ; then
+ if [ ! "x`echo \"$autoreconf_output\" | grep libtoolize | grep \"No such file or directory\"`" = "x" ] ; then
+ $ECHO
+ $ECHO "Warning: autoreconf failed but due to what is usually a common libtool"
+ $ECHO "misconfiguration issue. This problem is encountered on systems that"
+ $ECHO "have installed libtoolize under a different name without providing a"
+ $ECHO "symbolic link or without setting the LIBTOOLIZE environment variable."
+ $ECHO
+ $ECHO "Restarting the preparation steps with LIBTOOLIZE set to $LIBTOOLIZE"
+
+ export LIBTOOLIZE
+ RUN_RECURSIVE=no
+ export RUN_RECURSIVE
+ untrap_abnormal
+
+ $VERBOSE_ECHO sh $AUTOGEN_SH "$1" "$2" "$3" "$4" "$5" "$6" "$7" "$8" "$9"
+ sh "$AUTOGEN_SH" "$1" "$2" "$3" "$4" "$5" "$6" "$7" "$8" "$9"
+ exit $?
+ fi
+ fi
+
+ $ECHO "Warning: $AUTORECONF failed"
+
+ if test -f ltmain.sh ; then
+ $ECHO "libtoolize being run by autoreconf is not creating ltmain.sh in the auxillary directory like it should"
+ fi
+
+ $ECHO "Attempting to run the preparation steps individually"
+ reconfigure_manually=yes
+ else
+ if [ "x$DOWNLOAD" = "xyes" ] ; then
+ if libtoolize_needed ; then
+ download_gnulib_config_guess
+ fi
+ fi
+ fi
+else
+ reconfigure_manually=yes
+fi
+
+
+############################
+# LIBTOOL_FAILURE FUNCTION #
+############################
+libtool_failure ( ) {
+
+ # libtool is rather error-prone in comparison to the other
+ # autotools and this routine attempts to compensate for some
+ # common failures. the output after a libtoolize failure is
+ # parsed for an error related to AC_PROG_LIBTOOL and if found, we
+ # attempt to inject a project-provided libtool.m4 file.
+
+ _autoconf_output="$1"
+
+ if [ "x$RUN_RECURSIVE" = "xno" ] ; then
+ # we already tried the libtool.m4, don't try again
+ return 1
+ fi
+
+ if test -f "$LIBTOOL_M4" ; then
+ found_libtool="`$ECHO $_autoconf_output | grep AC_PROG_LIBTOOL`"
+ if test ! "x$found_libtool" = "x" ; then
+ if test -f acinclude.m4 ; then
+ rm -f acinclude.m4.$$.backup
+ $VERBOSE_ECHO "cat acinclude.m4 > acinclude.m4.$$.backup"
+ cat acinclude.m4 > acinclude.m4.$$.backup
+ fi
+ $VERBOSE_ECHO "cat \"$LIBTOOL_M4\" >> acinclude.m4"
+ chmod u+w acinclude.m4
+ cat "$LIBTOOL_M4" >> acinclude.m4
+
+ # don't keep doing this
+ RUN_RECURSIVE=no
+ export RUN_RECURSIVE
+ untrap_abnormal
+
+ $ECHO
+ $ECHO "Restarting the preparation steps with libtool macros in acinclude.m4"
+ $VERBOSE_ECHO sh $AUTOGEN_SH "$1" "$2" "$3" "$4" "$5" "$6" "$7" "$8" "$9"
+ sh "$AUTOGEN_SH" "$1" "$2" "$3" "$4" "$5" "$6" "$7" "$8" "$9"
+ exit $?
+ fi
+ fi
+}
+
+
+###########################
+# MANUAL_AUTOGEN FUNCTION #
+###########################
+manual_autogen ( ) {
+
+ ##################################################
+ # Manual preparation steps taken are as follows: #
+ # aclocal [-I m4] #
+ # libtoolize --automake -c -f #
+ # aclocal [-I m4] #
+ # autoconf -f #
+ # autoheader #
+ # automake -a -c -f #
+ ##################################################
+
+ ###########
+ # aclocal #
+ ###########
+ $VERBOSE_ECHO "$ACLOCAL $SEARCH_DIRS $ACLOCAL_OPTIONS"
+ aclocal_output="`$ACLOCAL $SEARCH_DIRS $ACLOCAL_OPTIONS 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$aclocal_output"
+ if [ ! $ret = 0 ] ; then $ECHO "ERROR: $ACLOCAL failed" && exit 2 ; fi
+
+ ##############
+ # libtoolize #
+ ##############
+ if libtoolize_needed ; then
+ if [ "x$HAVE_LIBTOOLIZE" = "xyes" ] ; then
+ $VERBOSE_ECHO "$LIBTOOLIZE $LIBTOOLIZE_OPTIONS"
+ libtoolize_output="`$LIBTOOLIZE $LIBTOOLIZE_OPTIONS 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$libtoolize_output"
+
+ if [ ! $ret = 0 ] ; then $ECHO "ERROR: $LIBTOOLIZE failed" && exit 2 ; fi
+ else
+ if [ "x$HAVE_ALT_LIBTOOLIZE" = "xyes" ] ; then
+ $VERBOSE_ECHO "$LIBTOOLIZE $ALT_LIBTOOLIZE_OPTIONS"
+ libtoolize_output="`$LIBTOOLIZE $ALT_LIBTOOLIZE_OPTIONS 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$libtoolize_output"
+
+ if [ ! $ret = 0 ] ; then $ECHO "ERROR: $LIBTOOLIZE failed" && exit 2 ; fi
+ fi
+ fi
+
+ ###########
+ # aclocal #
+ ###########
+ # re-run again as instructed by libtoolize
+ $VERBOSE_ECHO "$ACLOCAL $SEARCH_DIRS $ACLOCAL_OPTIONS"
+ aclocal_output="`$ACLOCAL $SEARCH_DIRS $ACLOCAL_OPTIONS 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$aclocal_output"
+
+ # libtoolize might put ltmain.sh in the wrong place
+ if test -f ltmain.sh ; then
+ if test ! -f "${_aux_dir}/ltmain.sh" ; then
+ $ECHO
+ $ECHO "Warning: $LIBTOOLIZE is creating ltmain.sh in the wrong directory"
+ $ECHO
+ $ECHO "Fortunately, the problem can be worked around by simply copying the"
+ $ECHO "file to the appropriate location (${_aux_dir}/). This has been done for you."
+ $ECHO
+ $VERBOSE_ECHO "cp -p ltmain.sh \"${_aux_dir}/ltmain.sh\""
+ cp -p ltmain.sh "${_aux_dir}/ltmain.sh"
+ $ECHO $ECHO_N "Continuing build preparation ... $ECHO_C"
+ fi
+ fi # ltmain.sh
+
+ if [ "x$DOWNLOAD" = "xyes" ] ; then
+ download_gnulib_config_guess
+ fi
+ fi # libtoolize_needed
+
+ ############
+ # autoconf #
+ ############
+ $VERBOSE_ECHO
+ $VERBOSE_ECHO "$AUTOCONF $AUTOCONF_OPTIONS"
+ autoconf_output="`$AUTOCONF $AUTOCONF_OPTIONS 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$autoconf_output"
+
+ if [ ! $ret = 0 ] ; then
+ # retry without the -f and check for usage of macros that are too new
+ ac2_59_macros="AC_C_RESTRICT AC_INCLUDES_DEFAULT AC_LANG_ASSERT AC_LANG_WERROR AS_SET_CATFILE"
+ ac2_55_macros="AC_COMPILER_IFELSE AC_FUNC_MBRTOWC AC_HEADER_STDBOOL AC_LANG_CONFTEST AC_LANG_SOURCE AC_LANG_PROGRAM AC_LANG_CALL AC_LANG_FUNC_TRY_LINK AC_MSG_FAILURE AC_PREPROC_IFELSE"
+ ac2_54_macros="AC_C_BACKSLASH_A AC_CONFIG_LIBOBJ_DIR AC_GNU_SOURCE AC_PROG_EGREP AC_PROG_FGREP AC_REPLACE_FNMATCH AC_FUNC_FNMATCH_GNU AC_FUNC_REALLOC AC_TYPE_MBSTATE_T"
+
+ macros_to_search=""
+ ac_major="`echo ${AUTOCONF_VERSION}. | cut -d. -f1 | sed 's/[^0-9]//g'`"
+ ac_minor="`echo ${AUTOCONF_VERSION}. | cut -d. -f2 | sed 's/[^0-9]//g'`"
+
+ if [ $ac_major -lt 2 ] ; then
+ macros_to_search="$ac2_59_macros $ac2_55_macros $ac2_54_macros"
+ else
+ if [ $ac_minor -lt 54 ] ; then
+ macros_to_search="$ac2_59_macros $ac2_55_macros $ac2_54_macros"
+ elif [ $ac_minor -lt 55 ] ; then
+ macros_to_search="$ac2_59_macros $ac2_55_macros"
+ elif [ $ac_minor -lt 59 ] ; then
+ macros_to_search="$ac2_59_macros"
+ fi
+ fi
+
+ configure_ac_macros=__none__
+ for feature in $macros_to_search ; do
+ $VERBOSE_ECHO "Searching for $feature in $CONFIGURE"
+ found="`grep \"^$feature.*\" $CONFIGURE`"
+ if [ ! "x$found" = "x" ] ; then
+ if [ "x$configure_ac_macros" = "x__none__" ] ; then
+ configure_ac_macros="$feature"
+ else
+ configure_ac_macros="$feature $configure_ac_macros"
+ fi
+ fi
+ done
+ if [ ! "x$configure_ac_macros" = "x__none__" ] ; then
+ $ECHO
+ $ECHO "Warning: Unsupported macros were found in $CONFIGURE"
+ $ECHO
+ $ECHO "The `basename \"$CONFIGURE\"` file was scanned in order to determine if any"
+ $ECHO "unsupported macros are used that exceed the minimum version"
+ $ECHO "settings specified within this file. As such, the following macros"
+ $ECHO "should be removed from configure.ac or the version numbers in this"
+ $ECHO "file should be increased:"
+ $ECHO
+ $ECHO "$configure_ac_macros"
+ $ECHO
+ $ECHO $ECHO_N "Ignorantly continuing build preparation ... $ECHO_C"
+ fi
+
+ ###################
+ # autoconf, retry #
+ ###################
+ $VERBOSE_ECHO
+ $VERBOSE_ECHO "$AUTOCONF"
+ autoconf_output="`$AUTOCONF 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$autoconf_output"
+
+ if [ ! $ret = 0 ] ; then
+ # test if libtool is busted
+ libtool_failure "$autoconf_output"
+
+ # let the user know what went wrong
+ cat <<EOF
+$autoconf_output
+EOF
+ $ECHO "ERROR: $AUTOCONF failed"
+ exit 2
+ else
+ # autoconf sans -f and possibly sans unsupported options succeed so warn verbosely
+ $ECHO
+ $ECHO "Warning: autoconf seems to have succeeded by removing the following options:"
+ $ECHO " AUTOCONF_OPTIONS=\"$AUTOCONF_OPTIONS\""
+ $ECHO
+ $ECHO "Removing those options should not be necessary and indicate some other"
+ $ECHO "problem with the build system. The build preparation is highly suspect"
+ $ECHO "and may result in configuration or compilation errors. Consider"
+ if [ "x$VERBOSE_ECHO" = "x:" ] ; then
+ $ECHO "rerunning the build preparation with verbose output enabled."
+ $ECHO " $AUTOGEN_SH --verbose"
+ else
+ $ECHO "reviewing the minimum GNU Autotools version settings contained in"
+ $ECHO "this script along with the macros being used in your `basename \"$CONFIGURE\"` file."
+ fi
+ $ECHO
+ $ECHO $ECHO_N "Continuing build preparation ... $ECHO_C"
+ fi # autoconf ret = 0
+ fi # autoconf ret = 0
+
+ ##############
+ # autoheader #
+ ##############
+ need_autoheader=no
+ for feature in AM_CONFIG_HEADER AC_CONFIG_HEADER ; do
+ $VERBOSE_ECHO "Searching for $feature in $CONFIGURE"
+ found="`grep \"^$feature.*\" $CONFIGURE`"
+ if [ ! "x$found" = "x" ] ; then
+ need_autoheader=yes
+ break
+ fi
+ done
+ if [ "x$need_autoheader" = "xyes" ] ; then
+ $VERBOSE_ECHO "$AUTOHEADER $AUTOHEADER_OPTIONS"
+ autoheader_output="`$AUTOHEADER $AUTOHEADER_OPTIONS 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$autoheader_output"
+ if [ ! $ret = 0 ] ; then $ECHO "ERROR: $AUTOHEADER failed" && exit 2 ; fi
+ fi # need_autoheader
+
+ ############
+ # automake #
+ ############
+ need_automake=no
+ for feature in AM_INIT_AUTOMAKE ; do
+ $VERBOSE_ECHO "Searching for $feature in $CONFIGURE"
+ found="`grep \"^$feature.*\" $CONFIGURE`"
+ if [ ! "x$found" = "x" ] ; then
+ need_automake=yes
+ break
+ fi
+ done
+
+ if [ "x$need_automake" = "xyes" ] ; then
+ $VERBOSE_ECHO "$AUTOMAKE $AUTOMAKE_OPTIONS"
+ automake_output="`$AUTOMAKE $AUTOMAKE_OPTIONS 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$automake_output"
+
+ if [ ! $ret = 0 ] ; then
+
+ ###################
+ # automake, retry #
+ ###################
+ $VERBOSE_ECHO
+ $VERBOSE_ECHO "$AUTOMAKE $ALT_AUTOMAKE_OPTIONS"
+ # retry without the -f
+ automake_output="`$AUTOMAKE $ALT_AUTOMAKE_OPTIONS 2>&1`"
+ ret=$?
+ $VERBOSE_ECHO "$automake_output"
+
+ if [ ! $ret = 0 ] ; then
+ # test if libtool is busted
+ libtool_failure "$automake_output"
+
+ # let the user know what went wrong
+ cat <<EOF
+$automake_output
+EOF
+ $ECHO "ERROR: $AUTOMAKE failed"
+ exit 2
+ fi # automake retry
+ fi # automake ret = 0
+ fi # need_automake
+} # end of manual_autogen
+
+
+#####################################
+# RECURSIVE_MANUAL_AUTOGEN FUNCTION #
+#####################################
+recursive_manual_autogen ( ) {
+
+ # run the build preparation steps manually for this directory
+ manual_autogen
+
+ # for projects using recursive configure, run the build
+ # preparation steps for the subdirectories.
+ if [ ! "x$CONFIG_SUBDIRS" = "x" ] ; then
+ $VERBOSE_ECHO "Recursively configuring the following directories:"
+ $VERBOSE_ECHO " $CONFIG_SUBDIRS"
+ for dir in $CONFIG_SUBDIRS ; do
+ $VERBOSE_ECHO "Processing recursive configure in $dir"
+ cd "$START_PATH"
+ cd "$dir"
+
+ # new directory, prepare
+ initialize
+
+ # run manual steps for the subdir and any others below
+ recursive_manual_autogen
+ done
+ fi
+}
+
+
+################################
+# run manual preparation steps #
+################################
+if [ "x$reconfigure_manually" = "xyes" ] ; then
+ $ECHO
+ $ECHO $ECHO_N "Preparing build ... $ECHO_C"
+
+ recursive_manual_autogen
+fi
+
+
+#########################
+# restore and summarize #
+#########################
+cd "$START_PATH"
+
+# restore COPYING and INSTALL from backup if necessary
+recursive_restore
+
+# make sure we end up with a configure script
+config_ac="`locate_configure_template`"
+config="`echo $config_ac | sed 's/\.ac$//' | sed 's/\.in$//'`"
+if [ "x$config" = "x" ] ; then
+ $VERBOSE_ECHO "Could not locate the configure template (from `pwd`)"
+fi
+
+# summarize
+$ECHO "done"
+$ECHO
+if test "x$config" = "x" -o ! -f "$config" ; then
+ $ECHO "WARNING: The $PROJECT build system should now be prepared but there"
+ $ECHO "does not seem to be a resulting configure file. This is unexpected"
+ $ECHO "and likely the result of an error. You should run $NAME_OF_AUTOGEN"
+ $ECHO "with the --verbose option to get more details on a potential"
+ $ECHO "misconfiguration."
+else
+ $ECHO "The $PROJECT build system is now prepared. To build here, run:"
+ $ECHO " $config"
+ $ECHO " make"
+fi
+
+
+# Local Variables:
+# mode: sh
+# tab-width: 8
+# sh-basic-offset: 4
+# sh-indentation: 4
+# indent-tabs-mode: t
+# End:
+# ex: shiftwidth=4 tabstop=8
--- /dev/null
+# -*- Autoconf -*-
+# Process this file with autoconf to produce a configure script.
+
+AC_PREREQ(2.61)
+AC_INIT(fplll, 5.0.3)
+AC_CONFIG_SRCDIR([fplll/fplll.cpp])
+
+# cf http://comments.gmane.org/gmane.comp.sysutils.autoconf.general/15737
+
+# First extract pieces from the version number string
+FPLLL_MAJOR_VERSION=`echo AC_PACKAGE_VERSION | awk -F. '{print $1}'`
+FPLLL_MINOR_VERSION=`echo AC_PACKAGE_VERSION | awk -F. '{print $2}'`
+FPLLL_MICRO_VERSION=`echo AC_PACKAGE_VERSION | awk -F. '{print $3}'`
+FPLLL_VERSION=$FPLLL_MAJOR_VERSION.$FPLLL_MINOR_VERSION.$FPLLL_MICRO_VERSION$FPLLL_MICRO_VERSION_SUFFIX
+FPLLL_VERSION_NUMBER=`expr $FPLLL_MAJOR_VERSION \* 1000000 + $FPLLL_MINOR_VERSION \* 1000 + $FPLLL_MICRO_VERSION`
+
+AC_CONFIG_MACRO_DIR([m4])
+AM_INIT_AUTOMAKE([foreign subdir-objects])
+AM_SILENT_RULES([yes])
+
+AC_CONFIG_HEADER(config.h)
+
+DEFAULT_CXXFLAGS="-O3 -Wall"
+
+CXXFLAGS=${CXXFLAGS:-$DEFAULT_CXXFLAGS}
+
+LT_INIT
+
+# The version of the libtool library is of the form current:revision:age
+#
+# See http://www.gnu.org/software/libtool/manual/html_node/Updating-version-info.html
+#
+# When doing a release, they should be updated like this:
+# 1. If no interfaces changed, only implementations: just increment
+# revision.
+# 2. If interfaces were added, none removed: increment current, set
+# revision to zero and increment age.
+# 3. If interfaces were removed (breaks backward compatibility): increment
+# current, and set both revision and age to zero.
+
+FPLLL_LT_CURRENT=2
+FPLLL_LT_REVISION=2
+FPLLL_LT_AGE=0
+
+AC_SUBST(FPLLL_LT_CURRENT)
+AC_SUBST(FPLLL_LT_REVISION)
+AC_SUBST(FPLLL_LT_AGE)
+
+AC_PROG_INSTALL
+
+# Checks for programs.
+AC_LANG_CPLUSPLUS
+AC_PROG_CXX
+AC_PROG_CC
+AC_PROG_MAKE_SET
+AX_CXX_COMPILE_STDCXX([11],[noext],[mandatory])
+
+# Checks for libraries.
+AC_ARG_WITH(gmp,
+ AS_HELP_STRING([--with-gmp=@<:@=DIR@:>@], [GMP install directory]), [
+ CPPFLAGS="$CPPFLAGS -I$withval/include"
+ LDFLAGS="$LDFLAGS -L$withval/lib"
+ gmp_lib_path="$withval/lib"
+ ])
+
+AC_CHECK_LIB(gmp, __gmpz_init, , [AC_MSG_ERROR(
+[GNU MP not found, see http://gmplib.org])])
+
+AC_CHECK_LIB(gmp, __gmp_get_memory_functions, , [AC_MSG_ERROR(
+[GMP version too old, need >= 4.2.0, see http://gmplib.org])])
+
+AC_ARG_WITH(mpfr,
+ AS_HELP_STRING([--with-mpfr=@<:@=DIR@:>@], [MPFR install directory]), [
+ CPPFLAGS="$CPPFLAGS -I$withval/include"
+ LDFLAGS="$LDFLAGS -L$withval/lib"
+ mpfr_lib_path="$withval/lib"
+ ])
+
+AC_CHECK_LIB(mpfr, mpfr_add, , [AC_MSG_ERROR(
+[MPFR not found, see http://www.mpfr.org])])
+
+AC_CHECK_LIB(mpfr, mpfr_fms, , [AC_MSG_ERROR(
+[MPFR version too old, need >= 2.3.0, see http://www.mpfr.org])])
+
+AC_ARG_WITH(qd,
+ AS_HELP_STRING([--with-qd=@<:@=DIR@:>@], [quaddouble install directory]), [
+ CPPFLAGS="$CPPFLAGS -I$withval/include"
+ LDFLAGS="$LDFLAGS -L$withval/lib"
+ qd_lib_path="$withval/lib"
+ ])
+
+AC_CHECK_HEADER(qd/dd_real.h,
+ have_libqd="yes",
+ have_libqd="no")
+
+if test "x${have_libqd}" = "xyes"; then
+ LIBQD_LIBADD="-lqd"
+ AC_DEFINE([FPLLL_WITH_QD], [1], [defined when libqd-dev is available])
+fi
+
+AC_SUBST(LIBQD_LIBADD)
+
+# Checks for header files.
+AC_HEADER_STDC
+AC_CHECK_HEADERS([limits.h cstdio iostream string limits vector])
+
+# Checks for typedefs, structures, and compiler characteristics.
+AC_HEADER_STDBOOL
+AC_C_CONST
+AC_C_INLINE
+AC_TYPE_SIZE_T
+AC_C_VOLATILE
+
+# Checks for library functions.
+AC_FUNC_STRTOD
+AC_CHECK_FUNCS([floor pow rint sqrt strtol])
+
+# enumeration dimension
+max_enumeration_dimension=256
+
+AC_ARG_WITH(max-enumeration-dimension,
+ AS_HELP_STRING([--with-max-enumeration-dimension@<:@=DIM@:>@],
+ [Maximum supported enumeration dimension (default: 256).]),
+ [max_enumeration_dimension=$withval])
+
+AC_DEFINE_UNQUOTED([FPLLL_MAX_ENUM_DIMENSION], $max_enumeration_dimension, [maximum supported enumeration dimension])
+
+# Store version numbers in header
+
+AC_DEFINE_UNQUOTED([FPLLL_MAJOR_VERSION],[$FPLLL_MAJOR_VERSION],[major version])
+AC_DEFINE_UNQUOTED([FPLLL_MINOR_VERSION],[$FPLLL_MINOR_VERSION],[minor version])
+AC_DEFINE_UNQUOTED([FPLLL_MICRO_VERSION],[$FPLLL_MICRO_VERSION],[micro version])
+AC_DEFINE_UNQUOTED([FPLLL_VERSION],[$FPLLL_VERSION],[full version])
+AC_DEFINE_UNQUOTED([FPLLL_VERSION_INFO],[$FPLLL_VERSION_INFO],[long version string])
+
+AC_CONFIG_HEADERS([fplll/fplll_config.h])
+
+AC_CONFIG_FILES([Makefile
+ fplll/Makefile
+ tests/Makefile
+ fplll.pc])
+AC_OUTPUT
+
--- /dev/null
+h1, .h1, h2, .h2, h3, .h3{
+ font-weight: 200 !important;
+}
+
+#navrow1, #navrow2, #navrow3, #navrow4, #navrow5{
+ border-bottom: 1px solid #EEEEEE;
+}
+
+.adjust-right {
+margin-left: 30px !important;
+font-size: 1.15em !important;
+}
+.navbar{
+ border: 0px solid #222 !important;
+}
+table{
+ white-space:pre-wrap !important;
+}
+/*
+ ===========================
+ */
+
+
+/* Sticky footer styles
+-------------------------------------------------- */
+html,
+body {
+ height: 100%;
+ /* The html and body elements cannot have any padding or margin. */
+}
+
+/* Wrapper for page content to push down footer */
+#wrap {
+ min-height: 100%;
+ height: auto;
+ /* Negative indent footer by its height */
+ margin: 0 auto -60px;
+ /* Pad bottom by footer height */
+ padding: 0 0 60px;
+}
+
+/* Set the fixed height of the footer here */
+#footer {
+ font-size: 0.9em;
+ padding: 8px 0px;
+ background-color: #f5f5f5;
+}
+
+.footer-row {
+ line-height: 44px;
+}
+
+#footer > .container {
+ padding-left: 15px;
+ padding-right: 15px;
+}
+
+.footer-follow-icon {
+ margin-left: 3px;
+ text-decoration: none !important;
+}
+
+.footer-follow-icon img {
+ width: 20px;
+}
+
+.footer-link {
+ padding-top: 5px;
+ display: inline-block;
+ color: #999999;
+ text-decoration: none;
+}
+
+.footer-copyright {
+ text-align: center;
+}
+
+
+@media (min-width: 992px) {
+ .footer-row {
+ text-align: left;
+ }
+
+ .footer-icons {
+ text-align: right;
+ }
+}
+@media (max-width: 991px) {
+ .footer-row {
+ text-align: center;
+ }
+
+ .footer-icons {
+ text-align: center;
+ }
+}
+
+/* DOXYGEN Code Styles
+----------------------------------- */
+
+
+a.qindex {
+ font-weight: bold;
+}
+
+a.qindexHL {
+ font-weight: bold;
+ background-color: #9CAFD4;
+ color: #ffffff;
+ border: 1px double #869DCA;
+}
+
+.contents a.qindexHL:visited {
+ color: #ffffff;
+}
+
+a.code, a.code:visited, a.line, a.line:visited {
+ color: #4665A2;
+}
+
+a.codeRef, a.codeRef:visited, a.lineRef, a.lineRef:visited {
+ color: #4665A2;
+}
+
+/* @end */
+
+dl.el {
+ margin-left: -1cm;
+}
+
+pre.fragment {
+ border: 1px solid #C4CFE5;
+ background-color: #FBFCFD;
+ padding: 4px 6px;
+ margin: 4px 8px 4px 2px;
+ overflow: auto;
+ word-wrap: break-word;
+ font-size: 9pt;
+ line-height: 125%;
+ font-family: monospace, fixed;
+ font-size: 105%;
+}
+
+div.fragment {
+ padding: 4px 6px;
+ margin: 4px 8px 4px 2px;
+ border: 1px solid #C4CFE5;
+}
+
+div.line {
+ font-family: Consolas, "Liberation Mono", Menlo, Courier, monospace;
+ font-size: 12px;
+ min-height: 13px;
+ line-height: 1.0;
+ text-wrap: unrestricted;
+ white-space: -moz-pre-wrap; /* Moz */
+ white-space: -pre-wrap; /* Opera 4-6 */
+ white-space: -o-pre-wrap; /* Opera 7 */
+ white-space: pre-wrap; /* CSS3 */
+ word-wrap: normal; /* IE 5.5+ */
+ text-indent: -53px;
+ padding-left: 53px;
+ padding-bottom: 0px;
+ margin: 0px;
+ -webkit-transition-property: background-color, box-shadow;
+ -webkit-transition-duration: 0.5s;
+ -moz-transition-property: background-color, box-shadow;
+ -moz-transition-duration: 0.5s;
+ -ms-transition-property: background-color, box-shadow;
+ -ms-transition-duration: 0.5s;
+ -o-transition-property: background-color, box-shadow;
+ -o-transition-duration: 0.5s;
+ transition-property: background-color, box-shadow;
+ transition-duration: 0.5s;
+}
+div.line:hover{
+ background-color: #FBFF00;
+}
+
+div.line.glow {
+ background-color: cyan;
+ box-shadow: 0 0 10px cyan;
+}
+
+
+span.lineno {
+ padding-right: 4px;
+ text-align: right;
+ color:rgba(0,0,0,0.3);
+ border-right: 1px solid #EEE;
+ border-left: 1px solid #EEE;
+ background-color: #FFF;
+ white-space: pre;
+ font-family: Consolas, "Liberation Mono", Menlo, Courier, monospace ;
+}
+span.lineno a {
+ background-color: #FAFAFA;
+ cursor:pointer;
+}
+
+span.lineno a:hover {
+ background-color: #EFE200;
+ color: #1e1e1e;
+}
+
+div.groupHeader {
+ margin-left: 16px;
+ margin-top: 12px;
+ font-weight: bold;
+}
+
+div.groupText {
+ margin-left: 16px;
+ font-style: italic;
+}
+
+/* @group Code Colorization */
+
+span.keyword {
+ color: #008000
+}
+
+span.keywordtype {
+ color: #604020
+}
+
+span.keywordflow {
+ color: #e08000
+}
+
+span.comment {
+ color: #800000
+}
+
+span.preprocessor {
+ color: #806020
+}
+
+span.stringliteral {
+ color: #002080
+}
+
+span.charliteral {
+ color: #008080
+}
+
+span.vhdldigit {
+ color: #ff00ff
+}
+
+span.vhdlchar {
+ color: #000000
+}
+
+span.vhdlkeyword {
+ color: #700070
+}
+
+span.vhdllogic {
+ color: #ff0000
+}
+
+blockquote {
+ background-color: #F7F8FB;
+ border-left: 2px solid #9CAFD4;
+ margin: 0 24px 0 4px;
+ padding: 0 12px 0 16px;
+}
+
+/*---------------- Search Box */
+
+#search-box {
+ margin: 10px 0px;
+}
+#search-box .close {
+ display: none;
+ position: absolute;
+ right: 0px;
+ padding: 6px 12px;
+ z-index: 5;
+}
+
+/*---------------- Search results window */
+
+#search-results-window {
+ display: none;
+}
+
+iframe#MSearchResults {
+ width: 100%;
+ height: 15em;
+}
+
+.SRChildren {
+ padding-left: 3ex; padding-bottom: .5em
+}
+.SRPage .SRChildren {
+ display: none;
+}
+a.SRScope {
+ display: block;
+}
+a.SRSymbol:focus, a.SRSymbol:active,
+a.SRScope:focus, a.SRScope:active {
+ text-decoration: underline;
+}
+span.SRScope {
+ padding-left: 4px;
+}
+.SRResult {
+ display: none;
+}
+
+/* class and file list */
+.directory .icona,
+.directory .arrow {
+ height: auto;
+}
+.directory .icona .icon {
+ height: 16px;
+}
+.directory .icondoc {
+ background-position: 0px 0px;
+ height: 20px;
+}
+.directory .iconfopen {
+ background-position: 0px 0px;
+}
+.directory td.entry {
+ padding: 7px 8px 6px 8px;
+}
+
+.table > tbody > tr > td.memSeparator {
+ line-height: 0;
+ .table-hover;
+
+}
+
+.memItemLeft, .memTemplItemLeft {
+ white-space: normal;
+}
+
+/* enumerations */
+.panel-body thead > tr {
+ background-color: #e0e0e0;
+}
+
+/* todo lists */
+.todoname,
+.todoname a {
+ font-weight: bold;
+}
+
+/* Class title */
+.summary {
+ margin-top: 25px;
+}
+.page-header {
+ margin: 20px 0px !important;
+}
+.page-header .title {
+ display: inline-block;
+}
+.page-header .pull-right {
+ margin-top: 0.3em;
+ margin-left: 0.5em;
+}
+.page-header .label {
+ font-size: 50%;
+}
--- /dev/null
+$( document ).ready(function() {
+
+ $("div.headertitle").addClass("page-header");
+ $("div.title").addClass("h1");
+
+ $('li > a[href="index.html"] > span').before("<i class='fa fa-cog'></i> ");
+ $('li > a[href="modules.html"] > span').before("<i class='fa fa-square'></i> ");
+ $('li > a[href="namespaces.html"] > span').before("<i class='fa fa-bars'></i> ");
+ $('li > a[href="annotated.html"] > span').before("<i class='fa fa-list-ul'></i> ");
+ $('li > a[href="classes.html"] > span').before("<i class='fa fa-book'></i> ");
+ $('li > a[href="inherits.html"] > span').before("<i class='fa fa-sitemap'></i> ");
+ $('li > a[href="functions.html"] > span').before("<i class='fa fa-list'></i> ");
+ $('li > a[href="functions_func.html"] > span').before("<i class='fa fa-list'></i> ");
+ $('li > a[href="functions_vars.html"] > span').before("<i class='fa fa-list'></i> ");
+ $('li > a[href="functions_enum.html"] > span').before("<i class='fa fa-list'></i> ");
+ $('li > a[href="functions_eval.html"] > span').before("<i class='fa fa-list'></i> ");
+ $('img[src="ftv2ns.png"]').replaceWith('<span class="label label-danger">N</span> ');
+ $('img[src="ftv2cl.png"]').replaceWith('<span class="label label-danger">C</span> ');
+
+ $("ul.tablist").addClass("nav nav-pills nav-justified");
+ $("ul.tablist").css("margin-top", "0.5em");
+ $("ul.tablist").css("margin-bottom", "0.5em");
+ $("li.current").addClass("active");
+ $("iframe").attr("scrolling", "yes");
+
+ $("#nav-path > ul").addClass("breadcrumb");
+
+ $("table.params").addClass("table");
+ $("div.ingroups").wrapInner("<small></small>");
+ $("div.levels").css("margin", "0.5em");
+ $("div.levels > span").addClass("btn btn-default btn-xs");
+ $("div.levels > span").css("margin-right", "0.25em");
+
+ $("table.directory").addClass("table table-striped");
+ $("div.summary > a").addClass("btn btn-default btn-xs");
+ $("table.fieldtable").addClass("table");
+ $(".fragment").addClass("well");
+ $(".memitem").addClass("panel panel-default");
+ $(".memproto").addClass("panel-heading");
+ $(".memdoc").addClass("panel-body");
+ $("span.mlabel").addClass("label label-info");
+
+ $("table.memberdecls").addClass("table");
+ $("[class^=memitem]").addClass("active");
+
+ $("div.ah").addClass("btn btn-default");
+ $("span.mlabels").addClass("pull-right");
+ $("table.mlabels").css("width", "100%")
+ $("td.mlabels-right").addClass("pull-right");
+
+ $("div.ttc").addClass("panel panel-primary");
+ $("div.ttname").addClass("panel-heading");
+ $("div.ttname a").css("color", 'white');
+ $("div.ttdef,div.ttdoc,div.ttdeci").addClass("panel-body");
+
+ $('div.fragment.well div.line:first').css('margin-top', '2px');
+ $('div.fragment.well div.line:last').css('margin-bottom', '2px');
+
+ $('table.doxtable').removeClass('doxtable').addClass('table table-striped table-bordered').each(function(){
+ $(this).prepend('<thead></thead>');
+ $(this).find('tbody > tr:first').prependTo($(this).find('thead'));
+
+ $(this).find('td > span.success').parent().addClass('success');
+ $(this).find('td > span.warning').parent().addClass('warning');
+ $(this).find('td > span.danger').parent().addClass('danger');
+ });
+
+
+
+ if($('div.fragment.well div.ttc').length > 0)
+ {
+ $('div.fragment.well div.line:first').parent().removeClass('fragment well');
+ }
+
+ $('table.memberdecls').find('.memItemRight').each(function(){
+ $(this).contents().appendTo($(this).siblings('.memItemLeft'));
+ $(this).siblings('.memItemLeft').attr('align', 'left');
+ });
+
+ $('table.memberdecls').find('.memTemplItemRight').each(function(){
+ $(this).contents().appendTo($(this).siblings('.memTemplItemLeft'));
+ $(this).siblings('.memTemplItemLeft').attr('align', 'left');
+ });
+
+ function getOriginalWidthOfImg(img_element) {
+ var t = new Image();
+ t.src = (img_element.getAttribute ? img_element.getAttribute("src") : false) || img_element.src;
+ return t.width;
+ }
+
+ $('div.dyncontent').find('img').each(function(){
+ if(getOriginalWidthOfImg($(this)[0]) > $('#content>div.container').width())
+ $(this).css('width', '100%');
+ });
+
+
+ /* responsive search box */
+ $('#MSearchBox').parent().remove();
+
+ var nav_container = $('<div class="row"></div>');
+ $('#navrow1').parent().prepend(nav_container);
+
+ var left_nav = $('<div class="col-md-9"></div>');
+ for (i = 0; i < 6; i++) {
+ var navrow = $('#navrow' + i + ' > ul.tablist').detach();
+ left_nav.append(navrow);
+ $('#navrow' + i).remove();
+ }
+ var right_nav = $('<div class="col-md-3"></div>').append('\
+ <div id="search-box" class="input-group">\
+ <div class="input-group-btn">\
+ <button aria-expanded="false" type="button" class="btn btn-default dropdown-toggle" data-toggle="dropdown">\
+ <span class="glyphicon glyphicon-search"></span> <span class="caret"></span>\
+ </button>\
+ <ul class="dropdown-menu">\
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+ var status = $('#MSearchResults').contents().find('.SRStatus:visible');
+ if (status.length > 0) {
+ switch(status.attr('id')) {
+ case 'Loading':
+ case 'Searching':
+ $('#search-results-window').addClass('panel-warning');
+ break;
+ case 'NoMatches':
+ $('#search-results-window').addClass('panel-danger');
+ break;
+ default:
+ $('#search-results-window').addClass('panel-default');
+ }
+ } else {
+ $('#search-results-window').addClass('panel-success');
+ }
+ }
+ $('#MSearchResults').load(function() {
+ $('#MSearchResults').contents().find('link[href="search.css"]').attr('href','../doxygen.css');
+ $('#MSearchResults').contents().find('head').append(
+ '<link href="../customdoxygen.css" rel="stylesheet" type="text/css">');
+
+ update_search_results_window();
+
+ // detect status changes (only for search with external search backend)
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+ });
+ var config = { attributes: true};
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+ }
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+ /* enumerations */
+ $('table.fieldtable').removeClass('fieldtable').addClass('table table-striped table-bordered').each(function(){
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+ $(this).find('td > span.warning').parent().addClass('warning');
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+ /* todo list */
+ var todoelements = $('.contents > .textblock > dl.reflist > dt, .contents > .textblock > dl.reflist > dd');
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+ $('.contents > .textblock').append(
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+ $("li.navelem").removeClass('navelem');
+ $("a.el").removeClass('el');
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+ $('.mdescLeft').each(function(){
+ if($(this).html()==" ") {
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+ $(this).siblings('.memItemRight').remove();
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+ $('td.memTemplItemLeft').each(function(){
+ if($(this).siblings('.memTemplItemRight').html()=="") {
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+ $(this).siblings('.memTemplItemRight').remove();
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+ });
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--- /dev/null
+<!-- HTML footer for doxygen 1.8.8-->
+<!-- start footer part -->
+<!--BEGIN GENERATE_TREEVIEW-->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+ <ul>
+ $navpath
+ <li class="footer">$generatedby
+ <a href="http://www.doxygen.org/index.html">
+ <img class="footer" src="$relpath^doxygen.png" alt="doxygen"/></a> $doxygenversion </li>
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+<!--END GENERATE_TREEVIEW-->
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+<!--BEGIN !GENERATE_TREEVIEW-->
+<hr class="footer"/><address class="footer"><small>
+$generatedby  <a href="http://www.doxygen.org/index.html">
+<img class="footer" src="$relpath^doxygen.png" alt="doxygen"/>
+</a> $doxygenversion
+</small></address>
+<!--END !GENERATE_TREEVIEW-->
+</body>
+</html>
--- /dev/null
+<!-- HTML header for doxygen 1.8.8-->
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+ <head>
+ <meta http-equiv="X-UA-Compatible" content="IE=edge">
+ <!-- For Mobile Devices -->
+ <meta name="viewport" content="width=device-width, initial-scale=1">
+
+ <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+ <meta name="generator" content="Doxygen $doxygenversion"/>
+
+ <script type="text/javascript" src="https://code.jquery.com/jquery-2.1.1.min.js"></script>
+
+ <!--BEGIN PROJECT_NAME--><title>$projectname: $title</title><!--END PROJECT_NAME-->
+ <!--BEGIN !PROJECT_NAME--><title>$title</title><!--END !PROJECT_NAME-->
+ <!--<link href="$relpath^tabs.css" rel="stylesheet" type="text/css"/>-->
+ <script type="text/javascript" src="$relpath^dynsections.js"></script>
+ $treeview
+ $search
+ $mathjax
+ <link href="$relpath^$stylesheet" rel="stylesheet" type="text/css" />
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+ <link href='https://fonts.googleapis.com/css?family=Roboto+Slab' rel='stylesheet' type='text/css'>
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+ <div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+ <div class="container">
+ <div class="row">
+ <div class="col-sm-12 panel " style="padding-bottom: 15px;">
+ <div style="margin-bottom: 15px;">
+<!-- end header part -->
--- /dev/null
+--- src.orig/src/dpe.h 2009-05-21 00:45:31.888271000 -0400
++++ src/src/dpe.h 2009-05-21 00:44:52.352752000 -0400
+@@ -25,6 +25,9 @@
+ #include <math.h> /* for round, floor, ceil */
+ #if defined (__sun) /* for round on Solaris 10 */
+ #include "tgmath.h"
++#include "ieeefp.h"
++#undef NAN
++#define NAN 0.0/0.0
+ #endif
+ #include <limits.h>
+
--- /dev/null
+prefix=@prefix@
+exec_prefix=@exec_prefix@
+libdir=@libdir@
+includedir=@includedir@
+
+Name: @PACKAGE_NAME@
+Description: lattice algorithms with floating-point computations
+Version: @PACKAGE_VERSION@
+Libs: -L${libdir} @LIBQD_LIBADD@ -lgmp -lmpfr -lfplll
--- /dev/null
+include_fpllldir=$(includedir)/fplll
+TOPSRCDIR = $(srcdir)/..
+strategydir = $(pkgdatadir)/strategies
+# see https://stackoverflow.com/questions/5867136/autoconf-how-to-get-installation-paths-into-config-h
+AM_CPPFLAGS = -DFPLLL_DEFAULT_STRATEGY_PATH=\"$(strategydir)\" -DFPLLL_DEFAULT_STRATEGY=\"$(strategydir)/default.json\" -I$(TOPSRCDIR)
+EXTRA_DIST = io/json.hpp ballvol.const factorial.const
+
+nobase_include_fplll_HEADERS=defs.h fplll.h \
+ nr/dpe.h \
+ nr/matrix.h \
+ nr/matrix.cpp \
+ nr/nr_FP_dd.inl \
+ nr/nr_FP_d.inl \
+ nr/nr_FP_dpe.inl \
+ nr/nr_FP.inl \
+ nr/nr_FP_ld.inl \
+ nr/nr_FP_misc.inl \
+ nr/nr_FP_mpfr.inl \
+ nr/nr_FP_qd.inl \
+ nr/nr.h \
+ nr/nr_rand.inl \
+ nr/nr_Z_d.inl \
+ nr/nr_Z.inl \
+ nr/nr_Z_l.inl \
+ nr/nr_Z_misc.inl \
+ nr/nr_Z_mpz.inl \
+ nr/numvect.h \
+ util.h \
+ svpcvp.h bkz.h lll.h gso.h \
+ enum/evaluator.h \
+ fplll_config.h wrapper.h \
+ bkz_param.h \
+ enum/enumerate.h enum/enumerate_base.h \
+ pruner.h
+
+bin_PROGRAMS=fplll latticegen latsieve
+check_PROGRAMS=llldiff
+EXTRA_PROGRAMS=fplll_dbg latticegen_dbg
+lib_LTLIBRARIES=libfplll.la
+EXTRA_LTLIBRARIES=libfplllv.la libfpllld.la
+
+# fplll bin
+fplll_SOURCES=main.cpp main.h
+fplll_LDADD=libfplll.la
+fplll_dbg_SOURCES=$(fplll_SOURCES)
+fplll_dbg_CPPFLAGS=-DDEBUG $(AM_CPPFLAGS)
+fplll_dbg_CXXFLAGS=-g $(AM_CXXFLAGS)
+fplll_dbg_LDADD=libfpllld.la
+
+# latticegen bin
+latticegen_SOURCES=latticegen.cpp
+latticegen_LDADD=libfplll.la
+latticegen_dbg_SOURCES=$(latticegen_SOURCES)
+latticegen_dbg_CPPFLAGS=-DDEBUG $(AM_CPPFLAGS)
+latticegen_dbg_CXXFLAGS=-g $(AM_CXXFLAGS)
+latticegen_dbg_LDADD=libfpllld.la
+
+# llldiff bin
+llldiff_SOURCES=llldiff.cpp
+llldiff_LDADD=libfplll.la
+
+# latsieve bin
+latsieve_SOURCES=sieve/sieve_main.cpp sieve/sieve_main.h
+latsieve_LDADD=libfplll.la $(LIBQD_LIBADD)
+
+# libfplll
+libfplll_la_SOURCES=fplll.cpp fplll.h \
+ util.cpp util.h \
+ enum/topenum.cpp enum/topenum.h \
+ enum/enumerate.cpp enum/enumerate.h \
+ enum/enumerate_base.cpp enum/enumerate_base.h \
+ enum/evaluator.cpp enum/evaluator.h \
+ lll.cpp lll.h \
+ wrapper.cpp wrapper.h \
+ bkz.cpp bkz.h \
+ bkz_param.cpp bkz_param.h \
+ gso.cpp gso.h \
+ pruner.cpp pruner.h \
+ sieve/sieve_gauss.cpp \
+ sieve/sieve_gauss.h \
+ sieve/sieve_common.h\
+ sieve/sieve_gauss_str.h \
+ sieve/sieve_gauss_2sieve.cpp \
+ sieve/sieve_gauss_3sieve.cpp \
+ sieve/sieve_gauss_4sieve.cpp \
+ sieve/sampler_basic.h \
+ sieve/sampler_basic.cpp
+
+EXTRA_libfplll_la_SOURCES= svpcvp.cpp
+libfplll_la_LIBADD=-lgmp -lmpfr $(LIBQD_LIBADD)
+libfplll_la_LDFLAGS=-no-undefined -version-info @FPLLL_LT_CURRENT@:@FPLLL_LT_REVISION@:@FPLLL_LT_AGE@
+
+libfplllv_la_SOURCES=$(libfplll_la_SOURCES)
+EXTRA_libfplllv_la_SOURCES=$(EXTRA_libfplll_la_SOURCES)
+libfplllv_la_CPPFLAGS=$(AM_CPPFLAGS)
+libfplllv_la_LIBADD=$(libfplll_la_LIBADD)
+libfplllv_la_LDFLAGS=$(libfplll_la_LDFLAGS)
+
+libfpllld_la_SOURCES=$(libfplll_la_SOURCES)
+EXTRA_libfpllld_la_SOURCES=$(EXTRA_libfplll_la_SOURCES)
+libfpllld_la_CPPFLAGS=-DDEBUG $(AM_CPPFLAGS)
+libfpllld_la_CXXFLAGS=-g $(AM_CXXFLAGS)
+libfpllld_la_LIBADD=$(libfplll_la_LIBADD)
+libfpllld_la_LDFLAGS=$(libfplll_la_LDFLAGS)
+
+install-data-hook:
+ echo "#include <fplll/fplll.h>" > "$(builddir)/fplll.h.root"
+ echo "using namespace fplll;" >> "$(builddir)/fplll.h.root"
+ $(INSTALL) -m 644 "$(builddir)/fplll.h.root" "${DESTDIR}$(includedir)/fplll.h"
+ rm -f "$(builddir)/fplll.h.root"
+
+uninstall-hook:
+ if test -d "${DESTDIR}$(includedir)/fplll/enum"; then rmdir "${DESTDIR}$(includedir)/fplll/enum"; fi
+ if test -d "${DESTDIR}$(includedir)/fplll/nr"; then rmdir "${DESTDIR}$(includedir)/fplll/nr"; fi
+ (test -d "${DESTDIR}$(includedir)/fplll" && rmdir "${DESTDIR}$(includedir)/fplll") || true
+ rm -f "${DESTDIR}$(includedir)/fplll.h"
+
+dbg: fplll_dbg latticegen_dbg
+
--- /dev/null
+const char* pre_ball_vol[2048] ={
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+};
--- /dev/null
+/* Copyright (C) 2011 Xavier Pujol
+ (C) 2014-2016 Martin R. Albrecht
+ (C) 2016 Michael Walter
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include <iomanip>
+
+#include "bkz.h"
+#include "bkz_param.h"
+#include "enum/enumerate.h"
+#include "util.h"
+#include "wrapper.h"
+#include <iomanip>
+
+FPLLL_BEGIN_NAMESPACE
+
+template <class FT>
+BKZReduction<FT>::BKZReduction(MatGSO<Integer, FT> &m, LLLReduction<Integer, FT> &lll_obj,
+ const BKZParam ¶m)
+ : status(RED_SUCCESS), nodes(0), param(param), m(m), lll_obj(lll_obj), algorithm(NULL), cputime_start(0)
+{
+ for (num_rows = m.d; num_rows > 0 && m.b[num_rows - 1].is_zero(); num_rows--)
+ {
+ }
+ this->delta = param.delta;
+}
+
+template <class FT> BKZReduction<FT>::~BKZReduction() {}
+
+template <class FT> void BKZReduction<FT>::rerandomize_block(int min_row, int max_row, int density)
+{
+ if (max_row - min_row < 2)
+ return;
+
+ // 1. permute rows
+ size_t niter = 4 * (max_row - min_row); // some guestimate
+
+ for (size_t i = 0; i < niter; ++i)
+ {
+ size_t a = gmp_urandomm_ui(RandGen::get_gmp_state(), max_row - min_row - 1) + min_row;
+ size_t b = a;
+ while (b == a)
+ {
+ b = gmp_urandomm_ui(RandGen::get_gmp_state(), max_row - min_row - 1) + min_row;
+ }
+ m.move_row(b, a);
+ }
+
+ // 2. triangular transformation matrix with coefficients in -1,0,1
+ m.row_op_begin(min_row, max_row);
+ FT x;
+ for (long a = min_row; a < max_row - 2; ++a)
+ {
+ for (long i = 0; i < density; i++)
+ {
+ size_t b = gmp_urandomm_ui(RandGen::get_gmp_state(), max_row - (a + 1) - 1) + a + 1;
+ if (gmp_urandomm_ui(RandGen::get_gmp_state(), 2))
+ m.row_add(a, b);
+ else
+ m.row_sub(a, b);
+ }
+ }
+ m.row_op_end(min_row, max_row);
+
+ return;
+}
+
+template <class FT>
+const Pruning &BKZReduction<FT>::get_pruning(int kappa, int block_size, const BKZParam &par) const
+{
+
+ FPLLL_DEBUG_CHECK(param.strategies.size() > block_size);
+
+ Strategy &strat = par.strategies[block_size];
+
+ long max_dist_expo;
+ FT max_dist = m.get_r_exp(kappa, kappa, max_dist_expo);
+ FT gh_max_dist = max_dist;
+ FT root_det = m.get_root_det(kappa, kappa + block_size);
+ gaussian_heuristic(gh_max_dist, max_dist_expo, block_size, root_det, 1.0);
+ return strat.get_pruning(max_dist.get_d() * pow(2, max_dist_expo),
+ gh_max_dist.get_d() * pow(2, max_dist_expo));
+}
+
+template <class FT>
+bool BKZReduction<FT>::svp_preprocessing(int kappa, int block_size, const BKZParam ¶m)
+{
+ bool clean = true;
+
+ FPLLL_DEBUG_CHECK(param.strategies.size() > block_size);
+
+ int lll_start = (param.flags & BKZ_BOUNDED_LLL) ? kappa : 0;
+ if (!lll_obj.lll(lll_start, lll_start, kappa + block_size))
+ {
+ throw std::runtime_error(RED_STATUS_STR[lll_obj.status]);
+ }
+ if (lll_obj.n_swaps > 0)
+ clean = false;
+
+ auto &preproc = param.strategies[block_size].preprocessing_block_sizes;
+ for (auto it = preproc.begin(); it != preproc.end(); ++it)
+ {
+ int dummy_kappa_max = num_rows;
+ BKZParam prepar = BKZParam(*it, param.strategies, LLL_DEF_DELTA, BKZ_GH_BND);
+ clean &= tour(0, dummy_kappa_max, prepar, kappa, kappa + block_size);
+ }
+
+ return clean;
+}
+
+template <class FT>
+bool BKZReduction<FT>::svp_postprocessing(int kappa, int block_size, const vector<FT> &solution)
+{
+ // Is it already in the basis ?
+ int nz_vectors = 0, i_vector = -1;
+ for (int i = 0; i < block_size; i++)
+ {
+ if (!solution[i].is_zero())
+ {
+ nz_vectors++;
+ if (i_vector == -1 && fabs(solution[i].get_d()) == 1)
+ i_vector = i;
+ }
+ }
+
+ FPLLL_DEBUG_CHECK(nz_vectors > 0);
+
+ if (nz_vectors == 1)
+ {
+ // Yes, it is another vector
+ FPLLL_DEBUG_CHECK(i_vector != -1 && i_vector != 0);
+ m.move_row(kappa + i_vector, kappa);
+ if (!lll_obj.size_reduction(kappa, kappa + i_vector + 1))
+ throw lll_obj.status;
+ }
+ else
+ {
+ // No, general case
+ int d = m.d;
+ m.create_row();
+ m.row_op_begin(d, d + 1);
+ for (int i = 0; i < block_size; i++)
+ {
+ m.row_addmul(d, kappa + i, solution[i]);
+ }
+ m.row_op_end(d, d + 1);
+ m.move_row(d, kappa);
+ if (!lll_obj.lll(kappa, kappa, kappa + block_size + 1))
+ throw lll_obj.status;
+ FPLLL_DEBUG_CHECK(m.b[kappa + block_size].is_zero());
+ m.move_row(kappa + block_size, d);
+ m.remove_last_row();
+ }
+ return false;
+}
+
+template <class FT>
+bool BKZReduction<FT>::dsvp_postprocessing(int kappa, int block_size, const vector<FT> &solution)
+{
+ vector<FT> x = solution;
+
+ int d = block_size;
+ m.row_op_begin(kappa, kappa + d);
+ // don't want to deal with negativ coefficients
+ for (int i = 0; i < d; i++)
+ {
+ if (x[i] < 0)
+ {
+ x[i].neg(x[i]);
+ for (int j = 0; j < m.b.get_cols(); j++)
+ {
+ m.b[i + kappa][j].neg(m.b[i + kappa][j]);
+ }
+ }
+ }
+
+ // tree based gcd computation on x, performing operations also on b
+ int off = 1;
+ int k;
+ while (off < d)
+ {
+ k = d - 1;
+ while (k - off >= 0)
+ {
+ if (!(x[k].is_zero() && x[k - off].is_zero()))
+ {
+ if (x[k] < x[k - off])
+ {
+ x[k].swap(x[k - off]);
+ m.b.swap_rows(kappa + k, kappa + k - off);
+ }
+
+ while (!x[k - off].is_zero())
+ {
+ while (x[k - off] <= x[k])
+ {
+ x[k] = x[k] - x[k - off];
+ m.b[kappa + k].sub(m.b[kappa + k - off]);
+ }
+
+ x[k].swap(x[k - off]);
+ m.b.swap_rows(kappa + k, kappa + k - off);
+ }
+ }
+ k -= 2 * off;
+ }
+ off *= 2;
+ }
+
+ m.row_op_end(kappa, kappa + d);
+ if (!lll_obj.lll(kappa, kappa, kappa + d))
+ {
+ return set_status(lll_obj.status);
+ }
+ return false;
+}
+
+
+template <class FT>
+bool BKZReduction<FT>::svp_reduction(int kappa, int block_size, const BKZParam &par, bool dual)
+{
+
+ int first = dual ? kappa + block_size - 1 : kappa;
+
+ // ensure we are computing something sensible.
+ // note that the size reduction here is required, since
+ // we're calling this function on unreduced blocks at times
+ // (e.g. in bkz, after the previous block was reduced by a vector
+ // already in the basis). if size reduction is not called,
+ // old_first might be incorrect (e.g. close to 0) and the function
+ // will return an incorrect clean flag
+ if (!lll_obj.size_reduction(0, first + 1))
+ {
+ throw std::runtime_error(RED_STATUS_STR[lll_obj.status]);
+ }
+ FT old_first;
+ long old_first_expo;
+ old_first = FT(m.get_r_exp(first, first, old_first_expo));
+
+ bool rerandomize = false;
+ double remaining_probability = 1.0;
+
+ while (remaining_probability > 1. - par.min_success_probability)
+ {
+ if (rerandomize)
+ {
+ rerandomize_block(kappa + 1, kappa + block_size, par.rerandomization_density);
+ }
+
+ svp_preprocessing(kappa, block_size, par);
+
+ long max_dist_expo;
+ FT max_dist = m.get_r_exp(first, first, max_dist_expo);
+ if (dual)
+ {
+ max_dist.pow_si(max_dist, -1, GMP_RNDU);
+ max_dist_expo *= -1;
+ }
+ max_dist *= delta;
+
+ if ((par.flags & BKZ_GH_BND) && block_size > 30)
+ {
+ FT root_det = m.get_root_det(kappa, kappa + block_size);
+ gaussian_heuristic(max_dist, max_dist_expo, block_size, root_det, par.gh_factor);
+ }
+
+ const Pruning &pruning = get_pruning(kappa, block_size, par);
+
+ vector<FT> &sol_coord = evaluator.sol_coord;
+ sol_coord.clear();
+ Enumeration<FT> enum_obj(m, evaluator);
+ enum_obj.enumerate(kappa, kappa + block_size, max_dist, max_dist_expo, vector<FT>(),
+ vector<enumxt>(), pruning.coefficients, dual);
+ nodes += enum_obj.get_nodes();
+
+ if (!sol_coord.empty())
+ {
+ if (dual)
+ dsvp_postprocessing(kappa, block_size, sol_coord);
+ else
+ svp_postprocessing(kappa, block_size, sol_coord);
+
+ rerandomize = false;
+ }
+ else
+ {
+ rerandomize = true;
+ }
+ remaining_probability *= (1 - pruning.probability);
+ }
+
+ if (!lll_obj.size_reduction(0, first + 1))
+ {
+ throw std::runtime_error(RED_STATUS_STR[lll_obj.status]);
+ }
+ long new_first_expo;
+ FT new_first = m.get_r_exp(first, first, new_first_expo);
+ new_first.mul_2si(new_first, new_first_expo - old_first_expo);
+ return (dual) ? (old_first >= new_first) : (old_first <= new_first);
+}
+
+template <class FT>
+bool BKZReduction<FT>::tour(const int loop, int &kappa_max, const BKZParam &par, int min_row,
+ int max_row)
+{
+ bool clean = true;
+ clean &= trunc_tour(kappa_max, par, min_row, max_row);
+ clean &= hkz(kappa_max, par, max(max_row - par.block_size, 0), max_row);
+
+ if (par.flags & BKZ_VERBOSE)
+ {
+ print_tour(loop, min_row, max_row);
+ }
+
+ if (par.flags & BKZ_DUMP_GSO)
+ {
+ std::ostringstream prefix;
+ prefix << "End of BKZ loop " << std::setw(4) << loop;
+ prefix << " (" << std::fixed << std::setw(9) << std::setprecision(3)
+ << (cputime() - cputime_start) * 0.001 << "s)";
+ dump_gso(par.dump_gso_filename, prefix.str());
+ }
+
+ return clean;
+}
+
+template <class FT>
+bool BKZReduction<FT>::trunc_tour(int &kappa_max, const BKZParam &par, int min_row, int max_row)
+{
+ bool clean = true;
+ int block_size = par.block_size;
+ for (int kappa = min_row; kappa < max_row - block_size; ++kappa)
+ {
+ clean &= svp_reduction(kappa, block_size, par);
+ if ((par.flags & BKZ_VERBOSE) && kappa_max < kappa && clean)
+ {
+ cerr << "Block [1-" << setw(4) << kappa + 1 << "] BKZ-" << setw(0) << par.block_size
+ << " reduced for the first time" << endl;
+ kappa_max = kappa;
+ }
+ }
+
+ return clean;
+}
+
+template <class FT>
+bool BKZReduction<FT>::trunc_dtour(const BKZParam &par, int min_row, int max_row)
+{
+ bool clean = true;
+ int block_size = par.block_size;
+
+ for (int kappa = max_row - block_size; kappa > min_row; --kappa)
+ {
+ clean &= svp_reduction(kappa, block_size, par, true);
+ }
+
+ return clean;
+}
+
+template <class FT>
+bool BKZReduction<FT>::hkz(int &kappa_max, const BKZParam ¶m, int min_row, int max_row)
+{
+ bool clean = true;
+ for (int kappa = min_row; kappa < max_row - 1; ++kappa)
+ {
+ int block_size = max_row - kappa;
+ clean &= svp_reduction(kappa, block_size, param);
+ if ((param.flags & BKZ_VERBOSE) && kappa_max < kappa && clean)
+ {
+ cerr << "Block [1-" << setw(4) << kappa + 1 << "] BKZ-" << setw(0) << param.block_size
+ << " reduced for the first time" << endl;
+ kappa_max = kappa;
+ }
+ }
+
+ return clean;
+}
+
+template <class FT>
+bool BKZReduction<FT>::sd_tour(const int loop, const BKZParam &par, int min_row, int max_row)
+{
+ int dummy_kappa_max = num_rows;
+ bool clean = true;
+ clean &= trunc_dtour(par, min_row, max_row);
+ clean &= trunc_tour(dummy_kappa_max, par, min_row, max_row);
+
+ if (par.flags & BKZ_VERBOSE)
+ {
+ print_tour(loop, min_row, max_row);
+ }
+
+ if (par.flags & BKZ_DUMP_GSO)
+ {
+ std::ostringstream prefix;
+ prefix << "End of SD-BKZ loop " << std::setw(4) << loop;
+ prefix << " (" << std::fixed << std::setw(9) << std::setprecision(3)
+ << (cputime() - cputime_start) * 0.001 << "s)";
+ dump_gso(par.dump_gso_filename, prefix.str());
+ }
+
+ return clean;
+}
+
+template <class FT>
+bool BKZReduction<FT>::slide_tour(const int loop, const BKZParam &par, int min_row, int max_row)
+{
+ int p = (max_row - min_row) / par.block_size;
+ if ((max_row - min_row) % par.block_size)
+ ++p;
+ bool clean; // this clean variable is only for the inner loop of slide reduction
+ do
+ {
+ clean = true;
+ // SVP reduction takes care of the LLL reduction as long as BKZ_BOUNDED_LLL is off
+ for (int i = 0; i < p; ++i)
+ {
+ int kappa = min_row + i * par.block_size;
+ int block_size = min(max_row - kappa, par.block_size);
+ clean &= svp_reduction(kappa, block_size, par);
+ }
+ } while (!clean);
+
+ for (int i = 0; i < p - 1; ++i)
+ {
+ int kappa = min_row + i * par.block_size + 1;
+ svp_reduction(kappa, par.block_size, par, true);
+ }
+
+ FT new_potential = m.get_slide_potential(min_row, max_row, par.block_size);
+
+ if (par.flags & BKZ_VERBOSE)
+ {
+ print_tour(loop, min_row, max_row);
+ }
+
+ if (par.flags & BKZ_DUMP_GSO)
+ {
+ std::ostringstream prefix;
+ prefix << "End of SLD loop " << std::setw(4) << loop;
+ prefix << " (" << std::fixed << std::setw(9) << std::setprecision(3)
+ << (cputime() - cputime_start) * 0.001 << "s)";
+ dump_gso(par.dump_gso_filename, prefix.str());
+ }
+
+ if (new_potential >= sld_potential)
+ return true;
+
+ sld_potential = new_potential;
+ return false;
+}
+
+template <class FT> bool BKZReduction<FT>::bkz()
+{
+ int flags = param.flags;
+ int final_status = RED_SUCCESS;
+ nodes = 0;
+ bool sd = (flags & BKZ_SD_VARIANT);
+ bool sld = (flags & BKZ_SLD_RED);
+ algorithm = sd ? "SD-BKZ" : sld ? "SLD" : "BKZ";
+
+ if (sd && sld)
+ {
+ throw std::runtime_error("Invalid flags: SD-BKZ and Slide reduction are mutually exclusive!");
+ }
+
+ if (flags & BKZ_DUMP_GSO)
+ {
+ std::ostringstream prefix;
+ prefix << "Input";
+ dump_gso(param.dump_gso_filename, prefix.str(), false);
+ }
+
+ if (param.block_size < 2)
+ return set_status(RED_SUCCESS);
+
+ int i = 0;
+
+ BKZAutoAbort<FT> auto_abort(m, num_rows);
+
+ if (sd && !(flags & (BKZ_MAX_LOOPS | BKZ_MAX_TIME | BKZ_AUTO_ABORT)))
+ {
+ cerr << "Warning: SD Variant of BKZ requires explicit termination condition. Turning auto "
+ "abort on!"
+ << endl;
+ flags |= BKZ_AUTO_ABORT;
+ }
+
+ if (flags & BKZ_VERBOSE)
+ {
+ cerr << "Entering " << algorithm << ":" << endl;
+ print_params(param, cerr);
+ cerr << endl;
+ }
+ cputime_start = cputime();
+
+ m.discover_all_rows();
+
+ if (sld)
+ {
+ m.update_gso();
+ sld_potential = m.get_slide_potential(0, num_rows, param.block_size);
+ }
+
+ // the following is necessary, since sd-bkz starts with a dual tour and
+ // svp_reduction calls size_reduction, which needs to be preceeded by a
+ // call to lll lower blocks to avoid seg faults
+ if (sd)
+ lll_obj.lll(0, 0, num_rows);
+
+ int kappa_max;
+ bool clean = true;
+ for (i = 0;; ++i)
+ {
+ if ((flags & BKZ_MAX_LOOPS) && i >= param.max_loops)
+ {
+ final_status = RED_BKZ_LOOPS_LIMIT;
+ break;
+ }
+ if ((flags & BKZ_MAX_TIME) && (cputime() - cputime_start) * 0.001 >= param.max_time)
+ {
+ final_status = RED_BKZ_TIME_LIMIT;
+ break;
+ }
+ if ((flags & BKZ_AUTO_ABORT) &&
+ auto_abort.test_abort(param.auto_abort_scale, param.auto_abort_max_no_dec))
+ {
+ break;
+ }
+
+ try
+ {
+ if (sd)
+ {
+ clean = sd_tour(i, param, 0, num_rows);
+ }
+ else if (sld)
+ {
+ clean = slide_tour(i, param, 0, num_rows);
+ }
+ else
+ {
+ clean = tour(i, kappa_max, param, 0, num_rows);
+ }
+ }
+ catch (RedStatus &e)
+ {
+ return set_status(e);
+ }
+
+ if (clean || param.block_size >= num_rows)
+ break;
+ }
+
+ int dummy_kappa_max = num_rows;
+ if (sd)
+ {
+ try
+ {
+ hkz(dummy_kappa_max, param, num_rows - param.block_size, num_rows);
+ print_tour(i, 0, num_rows);
+ }
+ catch (RedStatus &e)
+ {
+ return set_status(e);
+ }
+ }
+ if (sld)
+ {
+ try
+ {
+ int p = num_rows / param.block_size;
+ if (num_rows % param.block_size)
+ ++p;
+ for (int j = 0; j < p; ++j)
+ {
+ int kappa = j * param.block_size + 1;
+ int end = min(num_rows, kappa + param.block_size - 1);
+ hkz(dummy_kappa_max, param, kappa, end);
+ }
+ print_tour(i, 0, num_rows);
+ }
+ catch (RedStatus &e)
+ {
+ return set_status(e);
+ }
+ }
+
+ if (flags & BKZ_DUMP_GSO)
+ {
+ std::ostringstream prefix;
+ prefix << "Output ";
+ prefix << " (" << std::fixed << std::setw(9) << std::setprecision(3)
+ << (cputime() - cputime_start) * 0.001 << "s)";
+ dump_gso(param.dump_gso_filename, prefix.str());
+ }
+ return set_status(final_status);
+}
+
+template <class FT> void BKZReduction<FT>::print_tour(const int loop, int min_row, int max_row)
+{
+ FT r0;
+ Float fr0;
+ long expo;
+ r0 = m.get_r_exp(min_row, min_row, expo);
+ fr0 = r0.get_d();
+ fr0.mul_2si(fr0, expo);
+ cerr << "End of " << algorithm << " loop " << std::setw(4) << loop << ", time = " << std::fixed
+ << std::setw(9) << std::setprecision(3) << (cputime() - cputime_start) * 0.001 << "s";
+ cerr << ", r_" << min_row << " = " << fr0;
+ cerr << ", slope = " << std::setw(9) << std::setprecision(6)
+ << m.get_current_slope(min_row, max_row);
+ cerr << ", log2(nodes) = " << std::setw(9) << std::setprecision(6) << log2(nodes) << endl;
+}
+
+template <class FT> void BKZReduction<FT>::print_params(const BKZParam ¶m, ostream &out)
+{
+ out << "block size: " << std::setw(3) << param.block_size << ", ";
+ out << "flags: 0x" << std::setw(4) << setfill('0') << std::hex << param.flags << ", " << std::dec
+ << std::setfill(' ');
+ out << "max_loops: " << std::setw(3) << param.max_loops << ", ";
+ out << "max_time: " << std::setw(0) << std::fixed << std::setprecision(1) << param.max_time
+ << ", ";
+ if (param.flags & BKZ_AUTO_ABORT)
+ {
+ out << "autoAbort: (" << std::setw(0) << std::fixed << std::setprecision(4)
+ << param.auto_abort_scale;
+ out << ", " << std::setw(2) << param.auto_abort_max_no_dec << "), ";
+ }
+ else
+ {
+ out << "autoAbort: ( -, -), ";
+ }
+ out << endl;
+}
+
+template <class FT> bool BKZReduction<FT>::set_status(int new_status)
+{
+ status = new_status;
+ if (param.flags & BKZ_VERBOSE)
+ {
+ if (status == RED_SUCCESS)
+ cerr << "End of " << algorithm << ": success" << endl;
+ else
+ cerr << "End of " << algorithm << ": failure: " << RED_STATUS_STR[status] << endl;
+ }
+ return status == RED_SUCCESS;
+}
+
+template <class FT>
+void BKZReduction<FT>::dump_gso(const std::string &filename, const std::string &prefix, bool append)
+{
+ ofstream dump;
+ if (append)
+ dump.open(filename.c_str(), std::ios_base::app);
+ else
+ dump.open(filename.c_str());
+ dump << std::setw(4) << prefix << ": ";
+ FT f, log_f;
+ long expo;
+ for (int i = 0; i < num_rows; i++)
+ {
+ m.update_gso_row(i);
+ f = m.get_r_exp(i, i, expo);
+ log_f.log(f, GMP_RNDU);
+ dump << std::setprecision(8) << log_f.get_d() + expo * std::log(2.0) << " ";
+ }
+ dump << std::endl;
+ dump.close();
+}
+
+template <class FT> bool BKZAutoAbort<FT>::test_abort(double scale, int maxNoDec)
+{
+ double new_slope = -m.get_current_slope(start_row, num_rows);
+ if (no_dec == -1 || new_slope < scale * old_slope)
+ no_dec = 0;
+ else
+ no_dec++;
+ old_slope = min(old_slope, new_slope);
+ return no_dec >= maxNoDec;
+}
+
+
+/**
+ * call LLLReduction() and then BKZReduction.
+ */
+
+template <class FT>
+int bkz_reduction_f(IntMatrix &b, const BKZParam ¶m, int sel_ft, double lll_delta, IntMatrix &u,
+ IntMatrix &u_inv)
+{
+ int gso_flags = 0;
+ if (b.get_rows() == 0 || b.get_cols() == 0)
+ return RED_SUCCESS;
+ if (sel_ft == FT_DOUBLE || sel_ft == FT_LONG_DOUBLE)
+ gso_flags |= GSO_ROW_EXPO;
+ MatGSO<Integer, FT> m_gso(b, u, u_inv, gso_flags);
+ LLLReduction<Integer, FT> lll_obj(m_gso, lll_delta, LLL_DEF_ETA, LLL_DEFAULT);
+ BKZReduction<FT> bkz_obj(m_gso, lll_obj, param);
+ bkz_obj.bkz();
+ return bkz_obj.status;
+}
+
+/**
+ * interface called from call_bkz() from main.cpp.
+ */
+int bkz_reduction(IntMatrix *B, IntMatrix *U, const BKZParam ¶m, FloatType float_type,
+ int precision)
+{
+ IntMatrix empty_mat;
+ IntMatrix &u = U ? *U : empty_mat;
+ IntMatrix &u_inv = empty_mat;
+ FPLLL_CHECK(B, "B == NULL in bkzReduction");
+
+ if (U && (!u.empty()))
+ {
+ u.gen_identity(B->get_rows());
+ }
+
+ double lll_delta = param.delta < 1 ? param.delta : LLL_DEF_DELTA;
+
+ FloatType sel_ft = (float_type != FT_DEFAULT) ? float_type : FT_DOUBLE;
+ FPLLL_CHECK(!(sel_ft == FT_MPFR && precision == 0),
+ "Missing precision for BKZ with floating point type mpfr");
+
+ /* lllwrapper (no FloatType needed, -m ignored) */
+ if (param.flags & BKZ_NO_LLL)
+ zeros_last(*B, u, u_inv);
+ else
+ {
+ Wrapper wrapper(*B, u, u_inv, lll_delta, LLL_DEF_ETA, LLL_DEFAULT);
+ if (!wrapper.lll())
+ return wrapper.status;
+ }
+
+ /* bkz (with float_type) */
+ int status;
+ if (sel_ft == FT_DOUBLE)
+ {
+ status = bkz_reduction_f<FP_NR<double>>(*B, param, sel_ft, lll_delta, u, u_inv);
+ }
+#ifdef FPLLL_WITH_LONG_DOUBLE
+ else if (sel_ft == FT_LONG_DOUBLE)
+ {
+ status = bkz_reduction_f<FP_NR<long double>>(*B, param, sel_ft, lll_delta, u, u_inv);
+ }
+#endif
+#ifdef FPLLL_WITH_DPE
+ else if (sel_ft == FT_DPE)
+ {
+ status = bkz_reduction_f<FP_NR<dpe_t>>(*B, param, sel_ft, lll_delta, u, u_inv);
+ }
+#endif
+#ifdef FPLLL_WITH_QD
+ else if (sel_ft == FT_DD)
+ {
+ status = bkz_reduction_f<FP_NR<dd_real>>(*B, param, sel_ft, lll_delta, u, u_inv);
+ }
+ else if (sel_ft == FT_QD)
+ {
+ status = bkz_reduction_f<FP_NR<qd_real>>(*B, param, sel_ft, lll_delta, u, u_inv);
+ }
+#endif
+ else if (sel_ft == FT_MPFR)
+ {
+ int old_prec = FP_NR<mpfr_t>::set_prec(precision);
+ status = bkz_reduction_f<FP_NR<mpfr_t>>(*B, param, sel_ft, lll_delta, u, u_inv);
+ FP_NR<mpfr_t>::set_prec(old_prec);
+ }
+ else
+ {
+ FPLLL_ABORT("Compiled without support for BKZ reduction with " << FLOAT_TYPE_STR[sel_ft]);
+ }
+ zeros_first(*B, u, u_inv);
+ return status;
+}
+
+/**
+ * We define BKZ/HKZ for each input type instead of using a template,
+ * in order to force the compiler to instantiate the functions.
+ */
+int bkz_reduction(IntMatrix &b, int block_size, int flags, FloatType float_type, int precision)
+{
+ vector<Strategy> strategies;
+ BKZParam param(block_size, strategies);
+ param.flags = flags;
+ return bkz_reduction(&b, NULL, param, float_type, precision);
+}
+
+int bkz_reduction(IntMatrix &b, IntMatrix &u, int block_size, int flags, FloatType float_type,
+ int precision)
+{
+ vector<Strategy> strategies;
+ BKZParam param(block_size, strategies);
+ param.flags = flags;
+ return bkz_reduction(&b, &u, param, float_type, precision);
+}
+
+int hkz_reduction(IntMatrix &b, int flags, FloatType float_type, int precision)
+{
+ vector<Strategy> strategies;
+ BKZParam param(b.get_rows(), strategies);
+ param.block_size = b.get_rows();
+ param.delta = 1;
+ if (flags & HKZ_VERBOSE)
+ param.flags |= BKZ_VERBOSE;
+ return bkz_reduction(&b, NULL, param, float_type, precision);
+}
+
+/** enforce instantiation of complete templates **/
+
+template class BKZReduction<FP_NR<double>>;
+template class BKZAutoAbort<FP_NR<double>>;
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template class BKZReduction<FP_NR<long double>>;
+template class BKZAutoAbort<FP_NR<long double>>;
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template class BKZReduction<FP_NR<dpe_t>>;
+template class BKZAutoAbort<FP_NR<dpe_t>>;
+#endif
+
+#ifdef FPLLL_WITH_QD
+template class BKZReduction<FP_NR<dd_real>>;
+template class BKZAutoAbort<FP_NR<dd_real>>;
+
+template class BKZReduction<FP_NR<qd_real>>;
+template class BKZAutoAbort<FP_NR<qd_real>>;
+#endif
+
+template class BKZReduction<FP_NR<mpfr_t>>;
+template class BKZAutoAbort<FP_NR<mpfr_t>>;
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2011 Xavier Pujol
+ (C) 2014-2016 Martin R. Albrecht
+ (C) 2016 Michael Walter
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_BKZ_H
+#define FPLLL_BKZ_H
+
+#include "bkz_param.h"
+#include "enum/evaluator.h"
+#include "enum/enumerate.h"
+#include "lll.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+template <class FT> class BKZAutoAbort
+{
+public:
+/**
+ @brief
+
+ @param m
+ @param num_rows
+ @param start_row
+ @return
+*/
+
+ BKZAutoAbort(MatGSO<Integer, FT> &m, int num_rows, int start_row = 0)
+ : m(m), old_slope(numeric_limits<double>::max()), no_dec(-1), num_rows(num_rows),
+ start_row(start_row)
+ {
+ }
+ bool test_abort(double scale = 1.0, int maxNoDec = 5);
+
+private:
+ MatGSO<Integer, FT> &m;
+ double old_slope;
+ int no_dec;
+ int num_rows;
+ int start_row;
+};
+
+
+/* The matrix must be LLL-reduced */
+template <class FT> class BKZReduction
+{
+public:
+
+
+ BKZReduction(MatGSO<Integer, FT> &m, LLLReduction<Integer, FT> &lll_obj, const BKZParam ¶m);
+ ~BKZReduction();
+
+ bool svp_preprocessing(int kappa, int block_size, const BKZParam ¶m);
+
+ bool svp_postprocessing(int kappa, int block_size, const vector<FT> &solution);
+
+ bool dsvp_postprocessing(int kappa, int block_size, const vector<FT> &solution);
+
+ /**
+ Run enumeration to find a new shortest vector in the sublattice B[kappa,kappa+block_size]
+
+ @param kappa Start row
+ @param block_size Block size to use, this may be < param.block_size
+ @param param Parameters to use for this enumeration (block_size is ignored)
+
+ ``_ex`` variant is exception handling.
+ */
+
+ bool svp_reduction(int kappa, int block_size, const BKZParam ¶m, bool dual = false);
+
+ bool svp_reduction_ex(int kappa, int block_size, const BKZParam ¶m, bool &clean, bool dual = false)
+ {
+ try
+ {
+ clean = svp_reduction(kappa, block_size, param, dual);
+ return true;
+ }
+ catch (RedStatus &e)
+ {
+ return set_status(e);
+ }
+ }
+
+ bool tour(const int loop, int &kappa_max, const BKZParam ¶m, int min_row, int max_row);
+
+ bool tour_ex(const int loop, int &kappa_max, const BKZParam ¶m, int min_row, int max_row,
+ bool &clean)
+ {
+ try
+ {
+ clean = tour(loop, kappa_max, param, min_row, max_row);
+ return true;
+ }
+ catch (RedStatus &e)
+ {
+ return set_status(e);
+ }
+ }
+
+ bool sd_tour(const int loop, const BKZParam ¶m, int min_row, int max_row);
+
+ bool sd_tour_ex(const int loop, const BKZParam ¶m, int min_row, int max_row,
+ bool &clean)
+ {
+ try
+ {
+ clean = sd_tour(loop, param, min_row, max_row);
+ return true;
+ }
+ catch (RedStatus &e)
+ {
+ return set_status(e);
+ }
+ }
+
+ bool hkz(int &kappa_max, const BKZParam ¶m, int min_row, int max_row);
+
+ bool hkz_ex(int &kappa_max, const BKZParam ¶m, int min_row, int max_row, bool &clean)
+ {
+ try
+ {
+ clean = hkz(kappa_max, param, min_row, max_row);
+ return true;
+ }
+ catch (RedStatus &e)
+ {
+ return set_status(e);
+ }
+ }
+
+ bool slide_tour(const int loop, const BKZParam ¶m, int min_row, int max_row);
+
+ bool slide_tour_ex(const int loop, const BKZParam ¶m, int min_row, int max_row, bool &clean)
+ {
+ try
+ {
+ clean = slide_tour(loop, param, min_row, max_row);
+ return true;
+ }
+ catch (RedStatus &e)
+ {
+ return set_status(e);
+ }
+ }
+
+ bool bkz();
+
+/** Randomize basis between from ``min_row`` and ``max_row`` (exclusive)
+
+ 1. permute rows
+ 2. apply lower triangular matrix with coefficients in -1,0,1
+ 3. LLL reduce result
+
+ @param min_row start in this row
+
+ @param max_row stop at this row (exclusive)
+
+ @param density number of non-zero coefficients in lower triangular
+ transformation matrix
+**/
+
+ void rerandomize_block(int min_row, int max_row, int density);
+
+ /** I/O **/
+
+ void dump_gso(const std::string& filename, const std::string& prefix, bool append = true);
+
+ int status;
+
+ /**
+ Number of nodes visited during enumeration.
+ */
+
+ long nodes;
+
+private:
+ void print_tour(const int loop, int min_row, int max_row);
+ void print_params(const BKZParam ¶m, ostream &out);
+
+ bool set_status(int new_status);
+
+ const Pruning &get_pruning(int kappa, int block_size, const BKZParam &par) const;
+
+ bool trunc_tour(int &kappa_max, const BKZParam ¶m, int min_row, int max_row);
+ bool trunc_dtour(const BKZParam ¶m, int min_row, int max_row);
+
+ const BKZParam ¶m;
+ int num_rows;
+ MatGSO<Integer, FT> &m;
+ LLLReduction<Integer, FT> &lll_obj;
+ FastEvaluator<FT> evaluator;
+ FT delta;
+
+ const char* algorithm;
+ // Temporary data
+ const vector<FT> empty_target, empty_sub_tree;
+ FT max_dist, delta_max_dist;
+ double cputime_start;
+ FT sld_potential;
+};
+
+
+int bkz_reduction(IntMatrix* B, IntMatrix* U, const BKZParam& param, FloatType float_type=FT_DEFAULT, int precision=0);
+int bkz_reduction(IntMatrix& b, int block_size, int flags = BKZ_DEFAULT, FloatType float_type=FT_DEFAULT, int precision=0);
+int bkz_reduction(IntMatrix& b, IntMatrix& u, int block_size, int flags = BKZ_DEFAULT, FloatType float_type=FT_DEFAULT, int precision=0);
+
+int hkz_reduction(IntMatrix& b, int flags = HKZ_DEFAULT, FloatType float_type=FT_DEFAULT, int precision=0);
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+#include <cstdio>
+#include "bkz_param.h"
+#include "pruner.h"
+#include "io/json.hpp"
+using json = nlohmann::json;
+
+FPLLL_BEGIN_NAMESPACE
+
+Pruning Pruning::LinearPruning(int block_size, int level)
+{
+
+ Pruning pruning = Pruning();
+ int start_descent = block_size - level;
+
+ if (start_descent > block_size)
+ start_descent = block_size;
+
+ if (start_descent < 1)
+ start_descent = 1;
+
+ pruning.coefficients.resize(block_size);
+ for (int k = 0; k < start_descent; k++)
+ {
+ pruning.coefficients[k] = 1.0;
+ }
+ for (int k = 0; k < block_size - start_descent; k++)
+ {
+ pruning.coefficients[start_descent + k] = ((double)(block_size - k - 1)) / block_size;
+ }
+ pruning.radius_factor = 1.0;
+ pruning.probability = fplll::svp_probability<FP_NR<double>>(pruning);
+
+ return pruning;
+}
+
+const std::string &default_strategy_path()
+{
+ static const std::string ret(FPLLL_DEFAULT_STRATEGY_PATH);
+ return ret;
+}
+
+const std::string strategy_full_path(const std::string& strategy_path)
+{
+ if ( std::ifstream(strategy_path).good() )
+ return strategy_path;
+ std::string path = default_strategy_path() + "/" + strategy_path;
+ if ( std::ifstream(path).good() )
+ return path;
+ path.clear();
+ return path;
+}
+
+const std::string& default_strategy()
+{
+ static const std::string ret(FPLLL_DEFAULT_STRATEGY);
+ return ret;
+}
+
+const Pruning &Strategy::get_pruning(double radius, double gh) const
+{
+ double gh_factor = radius / gh;
+ double closest_dist = pow(2, 80);
+ auto best = pruning_parameters.begin();
+
+ for (auto it = pruning_parameters.begin(); it != pruning_parameters.end(); ++it)
+ {
+ if (fabs(it->radius_factor - gh_factor) < closest_dist)
+ {
+ closest_dist = fabs(it->radius_factor - gh_factor);
+ best = it;
+ }
+ }
+
+ return *best;
+}
+
+vector<Strategy> load_strategies_json(const std::string &filename)
+{
+ json js;
+ {
+ std::ifstream fs(filename);
+ if (fs.fail())
+ throw std::runtime_error("Cannot open strategies file.");
+ fs >> js;
+ }
+
+ vector<Strategy> strategies;
+
+ for(auto it = js.begin(); it != js.end(); ++it)
+ {
+ const json &j_strat = *it;
+ const size_t block_size = j_strat["block_size"];
+ FPLLL_DEBUG_CHECK(block_size < 4096); // some arbitrary upper limit
+
+ // ensure to add this strategy in the right place
+ while(strategies.size() <= block_size)
+ {
+ strategies.emplace_back();
+ }
+
+ Strategy strategy;
+ strategy.block_size = block_size;
+
+ if (j_strat.find("preprocessing_block_sizes") != j_strat.end())
+ {
+ for (auto p_it = j_strat["preprocessing_block_sizes"].begin(); p_it != j_strat["preprocessing_block_sizes"].end();
+ ++p_it)
+ {
+ if ((*p_it).is_number())
+ {
+ strategy.preprocessing_block_sizes.emplace_back((*p_it).get<int>());
+ }
+ else
+ {
+ strategy.preprocessing_block_sizes.emplace_back((*p_it)["block_size"]);
+ }
+ }
+ }
+
+ if (j_strat.find("pruning_parameters") != j_strat.end())
+ {
+ for (auto p_it = j_strat["pruning_parameters"].begin();
+ p_it != j_strat["pruning_parameters"].end(); ++p_it)
+ {
+ const json &j_prun = *p_it;
+ Pruning pruning;
+ pruning.radius_factor = j_prun[0];
+
+ // fplll enforces that the first pruning coefficient is 1.0
+ FPLLL_DEBUG_CHECK(j_prun[1][0] == 1.0);
+
+ for (auto c_it = j_prun[1].begin(); c_it != j_prun[1].end(); ++c_it)
+ {
+ double c = (*c_it);
+ pruning.coefficients.emplace_back(c);
+ }
+ pruning.probability = j_prun[2];
+ FPLLL_DEBUG_CHECK(pruning.probability > 0.0 && pruning.probability <= 1.0);
+
+ strategy.pruning_parameters.emplace_back(pruning);
+ }
+ }
+
+ strategies[block_size] = std::move(strategy);
+ }
+
+ // finally, we make sure all strategies are sound
+ for(auto it = strategies.begin(); it != strategies.end(); ++it) {
+ if(it->pruning_parameters.size() == 0)
+ it->pruning_parameters.emplace_back(Pruning());
+ }
+
+ return strategies;
+}
+
+FPLLL_END_NAMESPACE
+
--- /dev/null
+#ifndef BKZ_PARAM_H
+#define BKZ_PARAM_H
+
+/* (C) 2014-2016 Martin Albrecht.
+
+ This file is part of fplll. fplll is free software: you can
+ redistribute it and/or modify it under the terms of 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.
+
+ fplll 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with fplll. If not, see
+ <http://www.gnu.org/licenses/>.
+
+*/
+
+#include "defs.h"
+#include <string>
+#include <vector>
+
+FPLLL_BEGIN_NAMESPACE
+
+/**
+ Pruning parameters for one radius (expressed as a ratio to the Gaussian heuristic)
+ */
+
+class Pruning
+{
+
+public:
+ double radius_factor; //< radius/Gaussian heuristic
+ std::vector<double> coefficients; //< pruning coefficients
+ double probability; //< success probability
+
+ /**
+ The default constructor means no pruning.
+ */
+
+ Pruning() : radius_factor(1.), probability(1.){};
+
+ /** Set all pruning coefficients to 1, except the last <level>
+ coefficients, these will be linearly with slope `-1 /
+ block_size`.
+
+ @param level number of levels in linear descent
+ */
+
+ static Pruning LinearPruning(int block_size, int level);
+};
+
+/**
+ A strategy covers pruning parameters and preprocessing block_sizes
+*/
+
+class Strategy
+{
+public:
+
+ size_t block_size; //< block size
+ vector<Pruning> pruning_parameters; //< Pruning parameters
+ vector<size_t> preprocessing_block_sizes; //< For each block size we run one tour
+
+ /** Construct an empty strategy
+
+ @note Use this instead of the default constructor. The default
+ constructor does not add default pruning parameters.
+
+ */
+
+ static Strategy EmptyStrategy(size_t block_size)
+ {
+ Strategy strat;
+ strat.block_size = block_size;
+ strat.pruning_parameters.emplace_back(Pruning());
+ return strat;
+ };
+
+
+ /** Select the best pruning parameters for the input `radius`. The
+ parameter `gh` is used to establish the ratio between `radius`
+ and the Gaussian heuristic, which is used for sizes.
+
+ @param radius radius of the currently shortest vector
+ @param gh Gaussian heuristic prediction for radius
+
+ */
+
+ const Pruning &get_pruning(double radius, double gh) const;
+};
+
+class BKZParam
+{
+public:
+
+ /**
+ @brief Create BKZ parameters
+
+ @param block_size block size > 2
+ @param strategies vector of strategies used for pruning and preprocessing
+ @param delta LLL parameter delta
+ @param flags flags
+ @param max_loops maximum number of loops (or zero to disable this)
+ @param max_time maximum number of time (or zero to disable this)
+ @param auto_abort_scale auto abort when next tour does not improve slope over `scale` * previous tour
+ @param auto_abort_max_no_dec auto abort when next tour does not improve slope `no_dec` times
+ @param gh_factor set enumeration bound to Gaussian heuristic times `gh_factor`
+ @param min_success_probability minimum success probability in an SVP reduction (when using pruning)
+ @param rerandomization_density the heavier rerandomization, the better our guarantees and costs
+ */
+
+ BKZParam(int block_size, vector<Strategy> &strategies, double delta = LLL_DEF_DELTA,
+ int flags = BKZ_DEFAULT,
+ int max_loops = 0,
+ double max_time = 0,
+ double auto_abort_scale = BKZ_DEF_AUTO_ABORT_SCALE,
+ int auto_abort_max_no_dec = BKZ_DEF_AUTO_ABORT_MAX_NO_DEC,
+ double gh_factor = BKZ_DEF_AUTO_ABORT_MAX_NO_DEC,
+ double min_success_probability = BKZ_DEF_MIN_SUCCESS_PROBABILITY,
+ int rerandomization_density = BKZ_DEF_RERANDOMIZATION_DENSITY)
+ : block_size(block_size), strategies(strategies), delta(delta), flags(flags),
+ max_loops(max_loops), max_time(max_time), auto_abort_scale(auto_abort_scale),
+ auto_abort_max_no_dec(auto_abort_max_no_dec), gh_factor(gh_factor),
+ dump_gso_filename("gso.log"), min_success_probability(min_success_probability),
+ rerandomization_density(rerandomization_density)
+ {
+
+ // we create dummy strategies
+ if (strategies.empty())
+ {
+ strategies = vector<Strategy>();
+ for (long b = 0; b <= block_size; ++b)
+ {
+ strategies.emplace_back(Strategy::EmptyStrategy(b));
+ }
+ }
+ };
+
+ /** Block size used for enumeration **/
+ int block_size;
+
+ /** Strategies (pruning coefficients, preprocessing) */
+ vector<Strategy> &strategies;
+
+ /** LLL parameter delta **/
+ double delta;
+
+ /** See BKZFlags **/
+ int flags;
+
+ /** Maximum number of loops to execute **/
+ int max_loops;
+
+ /** Maximum time to spend **/
+ double max_time;
+
+ /** If BKZ_AUTOABORT is set, We abort if `new_slope < auto_abort_scale * old_slope`
+ is true for `auto_abort_max_no_dec` loops.
+ */
+ double auto_abort_scale;
+ int auto_abort_max_no_dec;
+
+ /** If BKZ_GH_BND is set, the enumeration bound will be set to gh_factor times
+ the Gaussian Heuristic
+ */
+
+ double gh_factor;
+
+ /** If BKZ_DUMP_GSO is set, the norms of the GSO matrix are written to this
+ file after each complete round.
+ */
+
+ string dump_gso_filename;
+
+ /** minimum success probability when using extreme pruning */
+
+ double min_success_probability;
+
+ /** density of rerandomization operation when using extreme pruning **/
+
+ int rerandomization_density;
+};
+
+/**
+ Load BKZ pruning and preprocessing strategies from a json file.
+
+ @note All parameters except pruning and preprocessing are silently ignored.
+*/
+
+vector<Strategy> load_strategies_json(const std::string &filename);
+
+/**
+ Return default directory to search for strategies (if any)
+*/
+
+const std::string &default_strategy_path();
+
+/**
+ Return default strategy (if any)
+*/
+
+const std::string &default_strategy();
+
+/**
+ Attempt to expand strategy path to full path
+*/
+
+const std::string strategy_full_path(const string &strategy_path);
+
+FPLLL_END_NAMESPACE
+#endif /* BKZ_PARAM_H */
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+ Copyright (C) 2013 Damien Stehle
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_DEFS_H
+#define FPLLL_DEFS_H
+
+#ifndef __CYGWIN__
+#define FPLLL_WITH_LONG_DOUBLE
+#endif
+
+#define FPLLL_WITH_DPE
+#define FPLLL_WITH_ZDOUBLE
+#define FPLLL_WITH_ZLONG
+#define FPLLL_WITH_GETRUSAGE
+
+#include <cstddef>
+#include <iostream>
+#include <cstring>
+#include <cstdio>
+#include <climits>
+#include <ctime>
+#include <limits>
+#include <algorithm>
+#include <cstdlib>
+#include <cmath>
+#include <fstream>
+#include <sstream>
+#include <string>
+
+#ifdef FPLLL_WITH_GETRUSAGE
+ #include <sys/time.h>
+ #include <sys/resource.h>
+ #include <unistd.h>
+#endif
+
+#include <gmp.h>
+#include <mpfr.h>
+#include "fplll_config.h"
+#ifdef FPLLL_WITH_DPE
+#include "nr/dpe.h"
+#endif
+
+#if defined(__sun) || defined(__CYGWIN__)
+ #include <ieeefp.h>
+ extern "C" long double ldexpl(long double x, int exp);
+ #ifndef NAN
+ #define NAN __builtin_nanf("")
+ #endif
+#endif
+
+#define FPLLL_INFO(x) {cerr << x << endl;}
+#define FPLLL_ABORT(x) {cerr << "fplll: " << x << endl; abort();}
+#define FPLLL_CHECK(x, y) {if (!(x)) FPLLL_ABORT(y);}
+
+#ifdef DEBUG
+ #include <cassert>
+ extern int debug_depth;
+ #define FPLLL_TRACE(x) std::cerr << "TRACE: " << std::string(debug_depth * 2, ' ') << x << std::endl
+ struct DebugTracer {
+ DebugTracer(const char* f) : f(f) {
+ debug_depth++;
+ }
+ ~DebugTracer() {
+ debug_depth--;
+ FPLLL_TRACE("</" << f << ">");
+ }
+ std::string f;
+ };
+ #define FPLLL_DEBUG_ABORT(x) FPLLL_ABORT(x)
+ #define FPLLL_DEBUG_CHECK(x) assert(x)
+ #define FPLLL_TRACE_IN(x) FPLLL_TRACE("<" << __func__ << " " << x << ">"); DebugTracer debugTracer(__func__);
+ #define FPLLL_DEBUG_SAFEVECT
+#else
+ #define FPLLL_DEBUG_ABORT(x)
+ #define FPLLL_DEBUG_CHECK(x)
+ #define FPLLL_TRACE(x)
+ #define FPLLL_TRACE_IN(x)
+#endif
+
+#define FPLLL_BEGIN_NAMESPACE namespace fplll {
+#define FPLLL_END_NAMESPACE }
+
+/** \namespace fplll
+ The fplll namespace */
+FPLLL_BEGIN_NAMESPACE
+
+using namespace std;
+
+/* this trick will not work on 16-bit machines*/
+#if (LONG_MAX==2147483647L)
+ const int CPU_SIZE = 32;
+ const int CPU_SIZE_1 = 30;
+ const double MAX_LONG_FAST = 0x1p30;
+ const long int EXPO_MAX = 30;
+#else
+ const int CPU_SIZE = 64;
+ const int CPU_SIZE_1 = 53;
+ const double MAX_LONG_FAST = 0x1p53;
+ const long int EXPO_MAX = 53;
+#endif
+
+const int MAX_EXP_DOUBLE = 1000;
+const int PREC_DOUBLE = 53;
+const int PREC_DD = 106;
+const int PREC_QD = 212;
+
+const double LLL_DEF_DELTA = 0.99;
+const double LLL_DEF_ETA = 0.51;
+const double LLL_DEF_EPSILON = 0.01;
+const int SIZE_RED_FAILURE_THRESH = 5;
+
+
+enum RedStatus
+{
+ RED_SUCCESS = 0,
+ // Skips value 1
+ RED_GSO_FAILURE = 2,
+ RED_BABAI_FAILURE,
+ RED_LLL_FAILURE,
+ RED_ENUM_FAILURE,
+ RED_BKZ_FAILURE,
+ RED_BKZ_TIME_LIMIT,
+ RED_BKZ_LOOPS_LIMIT,
+ RED_STATUS_MAX
+};
+
+const char* const RED_STATUS_STR[RED_STATUS_MAX] =
+ {"success",
+ "",
+ "infinite number in GSO",
+ "infinite loop in babai",
+ "infinite loop in LLL",
+ "error in SVP solver",
+ "error in BKZ",
+ "time limit exceeded in BKZ",
+ "loops limit exceeded in BKZ"};
+
+enum LLLMethod
+{
+ LM_WRAPPER,
+ LM_PROVED,
+ LM_HEURISTIC,
+ LM_FAST
+};
+
+const char* const LLL_METHOD_STR[6] =
+ {"wrapper", "proved", "heuristic", "fast"};
+
+enum IntType {
+ ZT_MPZ,
+ ZT_LONG,
+ ZT_DOUBLE
+};
+
+const char* const INT_TYPE_STR[5] =
+ {"mpz", "long", "double"};
+
+enum FloatType {
+ FT_DEFAULT,
+ FT_DOUBLE,
+ FT_LONG_DOUBLE,
+ FT_DPE,
+ FT_DD,
+ FT_QD,
+ FT_MPFR
+};
+
+const char* const FLOAT_TYPE_STR[7] =
+ {"", "double", "long double", "dpe", "dd", "qd", "mpfr"};
+
+enum LLLFlags
+{
+ LLL_VERBOSE = 1,
+ LLL_EARLY_RED = 2,
+ LLL_SIEGEL = 4,
+ LLL_DEFAULT = 0
+};
+
+enum SVPMethod
+{
+ SVPM_FAST = 0,
+ SVPM_PROVED = 2
+};
+
+enum SVPFlags
+{
+ SVP_DEFAULT = 0,
+ SVP_VERBOSE = 1,
+ SVP_OVERRIDE_BND = 2,
+ SVP_DUAL = 4
+};
+
+enum CVPFlags {
+ CVP_DEFAULT = SVP_DEFAULT,
+ CVP_VERBOSE = SVP_VERBOSE
+};
+
+const double BKZ_DEF_AUTO_ABORT_SCALE = 1.0;
+const int BKZ_DEF_AUTO_ABORT_MAX_NO_DEC = 5;
+const double BKZ_DEF_GH_FACTOR = 1.1;
+const double BKZ_DEF_MIN_SUCCESS_PROBABILITY = 0.5;
+const int BKZ_DEF_RERANDOMIZATION_DENSITY = 3;
+
+enum BKZFlags
+{
+ BKZ_DEFAULT = 0,
+ BKZ_VERBOSE = 1,
+ BKZ_NO_LLL = 2,
+ BKZ_MAX_LOOPS = 4,
+ BKZ_MAX_TIME = 8,
+ BKZ_BOUNDED_LLL = 0x10,
+ BKZ_AUTO_ABORT = 0x20,
+ BKZ_DUMP_GSO = 0x40,
+ BKZ_GH_BND = 0x80,
+ BKZ_SD_VARIANT = 0x100,
+ BKZ_SLD_RED = 0x200
+};
+
+enum HKZFlags
+{
+ HKZ_DEFAULT = 0,
+ HKZ_VERBOSE = 1
+};
+
+#ifndef FPLLL_DEFAULT_STRATEGY_PATH
+#define FPLLL_DEFAULT_STRATEGY_PATH ""
+#endif
+
+#ifndef FPLLL_DEFAULT_STRATEGY
+#define FPLLL_DEFAULT_STRATEGY ""
+#endif
+
+enum PrunerMethod
+{
+ PRUNER_METHOD_GRADIENT = 0,
+ PRUNER_METHOD_NM = 1,
+ PRUNER_METHOD_HYBRID = 2
+};
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol
+ (C) 2015 Michael Walter.
+ (C) 2016 Marc Stevens. (generic improvements, auxiliary solutions, subsolutions)
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "enumerate.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+template<typename FT>
+void EnumerationDyn<FT>::enumerate(int first, int last, FT& fmaxdist, long fmaxdistexpo,
+ const vector<FT>& target_coord,
+ const vector<enumxt>& subtree,
+ const vector<enumf>& pruning,
+ bool _dual)
+{
+ bool solvingsvp = target_coord.empty();
+ dual = _dual;
+ pruning_bounds = pruning;
+ if (last == -1)
+ last = _gso.d;
+ d = last - first;
+ fx.resize(d);
+ FPLLL_CHECK(d < maxdim, "enumerate: dimension is too high");
+ FPLLL_CHECK((solvingsvp || !dual), "CVP for dual not implemented! What does that even mean? ");
+ FPLLL_CHECK((subtree.empty() || !dual), "Subtree enumeration for dual not implemented!");
+
+ if (solvingsvp)
+ {
+ for (int i = 0; i < d; ++i)
+ center_partsum[i] = 0.0;
+ }
+ else
+ {
+ for (int i = 0; i < d; ++i)
+ center_partsum[i] = target_coord[i + first].get_d();
+ }
+
+ FT fr, fmu, fmaxdistnorm;
+ long rexpo, normexp = -1;
+ for (int i = 0; i < d; ++i)
+ {
+ fr = _gso.get_r_exp(i + first, i + first, rexpo);
+ normexp = max(normexp, rexpo + fr.exponent());
+ }
+ fmaxdistnorm.mul_2si(fmaxdist, dual ? normexp-fmaxdistexpo : fmaxdistexpo-normexp);
+ maxdist = fmaxdistnorm.get_d(GMP_RNDU);
+
+ _evaluator.set_normexp(normexp);
+
+ if (dual)
+ {
+ for (int i = 0; i < d; ++i)
+ {
+ fr = _gso.get_r_exp(i + first, i + first, rexpo);
+ fr.mul_2si(fr, rexpo - normexp);
+ rdiag[d-i-1] = enumf(1.0)/fr.get_d();
+ }
+ for (int i = 0; i < d; ++i)
+ {
+ for (int j = i + 1; j < d; ++j)
+ {
+ _gso.get_mu(fmu, j + first, i + first);
+ mut[d-j-1][d-i-1] = -fmu.get_d();
+ }
+ }
+ }
+ else
+ {
+ for (int i = 0; i < d; ++i)
+ {
+ fr = _gso.get_r_exp(i + first, i + first, rexpo);
+ fr.mul_2si(fr, rexpo - normexp);
+ rdiag[i] = fr.get_d();
+ }
+ for (int i = 0; i < d; ++i)
+ {
+ for (int j = i + 1; j < d; ++j)
+ {
+ _gso.get_mu(fmu, j + first, i + first);
+ mut[i][j] = fmu.get_d();
+ }
+ }
+ }
+ subsoldists = rdiag;
+
+ save_rounding();
+ prepare_enumeration(subtree, solvingsvp);
+ do_enumerate();
+ restore_rounding();
+
+ fmaxdistnorm = maxdist; // Exact
+
+ fmaxdist.mul_2si(fmaxdistnorm, dual ? fmaxdistexpo-normexp : normexp-fmaxdistexpo);
+
+ if (dual && !_evaluator.sol_coord.empty())
+ reverse_by_swap(_evaluator.sol_coord, 0, d-1);
+}
+
+template<typename FT>
+void EnumerationDyn<FT>::prepare_enumeration(const vector<enumxt>& subtree, bool solvingsvp)
+{
+ bool svpbeginning = solvingsvp;
+
+ enumf newdist = 0.0;
+ k_end = d - subtree.size();
+ for (k = d - 1; k >= 0 && newdist <= maxdist; --k)
+ {
+ enumf newcenter = center_partsum[k];
+ if (k >= k_end)
+ {
+ // use subtree
+ x[k] = subtree[k - k_end];
+
+ if (x[k] != 0)
+ svpbeginning = false;
+
+ for (int j = 0; j < k; ++j)
+ center_partsum[j] -= x[k] * mut[j][k];
+ }
+ else
+ {
+ if (dual)
+ {
+ for (int j = k + 1; j < k_end; ++j)
+ newcenter -= alpha[j] * mut[k][j];
+ }
+ else
+ {
+ for (int j = k + 1; j < k_end; ++j)
+ newcenter -= x[j] * mut[k][j];
+ }
+ roundto(x[k], newcenter); // newX = rint(newCenter) / lrint(newCenter)
+ center[k] = newcenter;
+ partdist[k] = newdist;
+ dx[k] = ddx[k] = (((int)(newcenter >= x[k]) & 1) << 1) - 1;
+ }
+ alpha[k] = x[k] - newcenter;
+ newdist += alpha[k] * alpha[k] * rdiag[k];
+ }
+ if (!svpbeginning)
+ {
+ k_max = k_end; // The last non-zero coordinate of x will not stay positive
+ }
+ else
+ {
+ k_max = 0;
+ x[0] = 1; // Excludes (0,...,0) from the enumeration
+ }
+ ++k;
+}
+
+template<typename FT>
+void EnumerationDyn<FT>::set_bounds()
+{
+ if (pruning_bounds.empty())
+ {
+ fill(&partdistbounds[0] + 0, &partdistbounds[0] + d, maxdist);
+ }
+ else
+ {
+ for (int i = 0; i < d; ++i)
+ partdistbounds[i] = pruning_bounds[i] * maxdist;
+ }
+}
+
+template<typename FT>
+void EnumerationDyn<FT>::process_solution(enumf newmaxdist)
+{
+ for (int j = 0; j < d; ++j)
+ fx[j] = x[j];
+ _evaluator.eval_sol(fx, newmaxdist, maxdist);
+
+ set_bounds();
+}
+
+template<typename FT>
+void EnumerationDyn<FT>::process_subsolution(int offset, enumf newdist)
+{
+ for (int j = 0; j < offset; ++j)
+ fx[j] = 0.0;
+ for (int j = offset; j < d; ++j)
+ fx[j] = x[j];
+ _evaluator.eval_sub_sol(offset, fx, newdist);
+}
+
+template<typename FT>
+void EnumerationDyn<FT>::do_enumerate()
+{
+ nodes = 0;
+
+ set_bounds();
+
+ if ( dual && _evaluator.findsubsols)
+ enumerate_loop<true,true>();
+ else if (!dual && _evaluator.findsubsols)
+ enumerate_loop<false,true>();
+ else if ( dual && !_evaluator.findsubsols)
+ enumerate_loop<true,false>();
+ else if (!dual && !_evaluator.findsubsols)
+ enumerate_loop<false,false>();
+}
+
+template class Enumeration<FP_NR<double> >;
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template class Enumeration<FP_NR<long double> >;
+#endif
+
+#ifdef FPLLL_WITH_QD
+template class Enumeration<FP_NR<dd_real> >;
+
+template class Enumeration<FP_NR<qd_real> >;
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template class Enumeration<FP_NR<dpe_t> >;
+#endif
+
+template class Enumeration<FP_NR<mpfr_t> >;
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol
+ (C) 2015 Michael Walter.
+ (C) 2016 Marc Stevens. (generic improvements, auxiliary solutions, subsolutions)
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_ENUMERATE_H
+#define FPLLL_ENUMERATE_H
+
+#include <array>
+#include <memory>
+#include <fplll/gso.h>
+#include <fplll/enum/evaluator.h>
+#include <fplll/enum/enumerate_base.h>
+
+FPLLL_BEGIN_NAMESPACE
+
+template<typename FT>
+class EnumerationDyn : public EnumerationBase
+{
+public:
+ EnumerationDyn(MatGSO<Integer, FT>& gso, Evaluator<FT>& evaluator)
+ : _gso(gso), _evaluator(evaluator)
+ {
+ }
+
+ void enumerate(int first, int last,
+ FT& fmaxdist, long fmaxdistexpo,
+ const vector<FT>& target_coord = vector<FT>(),
+ const vector<enumxt>& subtree = vector<enumxt>(),
+ const vector<enumf>& pruning = vector<enumf>(),
+ bool dual = false);
+
+ inline uint64_t get_nodes() const { return nodes; }
+
+private:
+ MatGSO<Integer, FT>& _gso;
+ Evaluator<FT>& _evaluator;
+
+ vector<enumf> pruning_bounds;
+ enumf maxdist;
+ vector<FT> fx;
+
+ void prepare_enumeration(const vector<enumxt>& subtree, bool solvingsvp);
+
+ void do_enumerate();
+
+ void set_bounds();
+ virtual void process_solution(enumf newmaxdist);
+ virtual void process_subsolution(int offset, enumf newdist);
+
+};
+
+template<typename FT>
+class Enumeration
+{
+public:
+ Enumeration(MatGSO<Integer, FT>& gso, Evaluator<FT>& evaluator)
+ : enumdyn(new EnumerationDyn<FT>(gso, evaluator))
+ {
+ }
+
+ void enumerate(int first, int last,
+ FT& fmaxdist, long fmaxdistexpo,
+ const vector<FT>& target_coord = vector<FT>(),
+ const vector<enumxt>& subtree = vector<enumxt>(),
+ const vector<enumf>& pruning = vector<enumf>(),
+ bool dual = false)
+ {
+ enumdyn->enumerate(first,last,fmaxdist,fmaxdistexpo,target_coord,subtree,pruning,dual);
+ }
+
+ inline uint64_t get_nodes() const { return enumdyn->get_nodes(); }
+
+private:
+ std::unique_ptr< EnumerationDyn<FT> > enumdyn;
+};
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol
+ (C) 2015 Michael Walter.
+ (C) 2016 Marc Stevens. (generic improvements, auxiliary solutions, subsolutions)
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "enumerate_base.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+#ifdef FPLLL_WITH_RECURSIVE_ENUM
+template<int kk, int kk_start, bool dualenum, bool findsubsols>
+inline void EnumerationBase::enumerate_recursive( EnumerationBase::opts<kk, kk_start, dualenum, findsubsols> )
+{
+ enumf alphak = x[kk] - center[kk];
+ enumf newdist = partdist[kk] + alphak*alphak*rdiag[kk];
+
+ if (!(newdist <= partdistbounds[kk]))
+ return;
+ ++nodes;
+
+ alpha[kk] = alphak;
+ if (findsubsols && newdist < subsoldists[kk])
+ {
+ subsoldists[kk] = newdist;
+ process_subsolution(kk, newdist);
+ }
+
+ if (kk == 0)
+ {
+ if (newdist > 0.0 /* || is_cvp */)
+ process_solution(newdist);
+ }
+ else
+ {
+ partdist[kk-1] = newdist;
+ if (dualenum)
+ {
+ for (int j = center_partsum_begin[kk]; j > kk-1; --j)
+ center_partsums[kk-1][j] = center_partsums[kk-1][j+1] - alpha[j] * mut[kk-1][j];
+ }
+ else
+ {
+ for (int j = center_partsum_begin[kk]; j > kk-1; --j)
+ center_partsums[kk-1][j] = center_partsums[kk-1][j+1] - x[j] * mut[kk-1][j];
+ }
+ if (center_partsum_begin[kk] > center_partsum_begin[kk-1])
+ center_partsum_begin[kk-1] = center_partsum_begin[kk];
+ center_partsum_begin[kk] = kk;
+ center[kk-1] = center_partsums[kk-1][kk];
+ roundto(x[kk-1], center[kk-1]);
+ dx[kk-1] = ddx[kk-1] = (((int)(center[kk-1] >= x[kk-1]) & 1) << 1) - 1;
+ }
+
+
+ while (true)
+ {
+ enumerate_recursive( opts<kk-1,kk_start,dualenum,findsubsols>() );
+
+ if (partdist[kk] != 0.0)
+ {
+ x[kk] += dx[kk];
+ ddx[kk] = -ddx[kk];
+ dx[kk] = ddx[kk] - dx[kk];
+
+ enumf alphak2 = x[kk] - center[kk];
+ enumf newdist2 = partdist[kk] + alphak2*alphak2*rdiag[kk];
+ if (!(newdist2 <= partdistbounds[kk]))
+ return;
+ ++nodes;
+ alpha[kk] = alphak2;
+ if (kk == 0)
+ {
+ if (newdist2 > 0.0 /* || is_cvp */)
+ process_solution(newdist2);
+ }
+ else
+ {
+ partdist[kk-1] = newdist2;
+ if (dualenum)
+ center_partsums[kk-1][kk-1+1] = center_partsums[kk-1][kk-1+1+1] - alpha[kk-1+1] * mut[kk-1][kk-1+1];
+ else
+ center_partsums[kk-1][kk-1+1] = center_partsums[kk-1][kk-1+1+1] - x[kk-1+1] * mut[kk-1][kk-1+1];
+ if (kk > center_partsum_begin[kk-1])
+ center_partsum_begin[kk-1] = kk;
+ center[kk-1] = center_partsums[kk-1][kk-1+1];
+ roundto(x[kk-1], center[kk-1]);
+ dx[kk-1] = ddx[kk-1] = (((int)(center[kk-1] >= x[kk-1]) & 1) << 1) - 1;
+ }
+ }
+ else
+ {
+ ++x[kk];
+
+ enumf alphak2 = x[kk] - center[kk];
+ enumf newdist2 = partdist[kk] + alphak2*alphak2*rdiag[kk];
+ if (!(newdist2 <= partdistbounds[kk]))
+ return;
+ ++nodes;
+ alpha[kk] = alphak2;
+ if (kk == 0)
+ {
+ if (newdist2 > 0.0 /* || is_cvp */)
+ process_solution(newdist2);
+ }
+ else
+ {
+ partdist[kk-1] = newdist2;
+ if (dualenum)
+ center_partsums[kk-1][kk-1+1] = center_partsums[kk-1][kk-1+1+1] - alpha[kk-1+1] * mut[kk-1][kk-1+1];
+ else
+ center_partsums[kk-1][kk-1+1] = center_partsums[kk-1][kk-1+1+1] - x[kk-1+1] * mut[kk-1][kk-1+1];
+ if (kk > center_partsum_begin[kk-1])
+ center_partsum_begin[kk-1] = kk;
+ center[kk-1] = center_partsums[kk-1][kk-1+1];
+ roundto(x[kk-1], center[kk-1]);
+ dx[kk-1] = ddx[kk-1] = (((int)(center[kk-1] >= x[kk-1]) & 1) << 1) - 1;
+ }
+ }
+ }
+}
+
+#define ENUM_TABLE_FILL8(a) \
+ & EnumerationBase::enumerate_recursive_wrapper< a+0,dualenum,findsubsols>, \
+ & EnumerationBase::enumerate_recursive_wrapper< a+1,dualenum,findsubsols>, \
+ & EnumerationBase::enumerate_recursive_wrapper< a+2,dualenum,findsubsols>, \
+ & EnumerationBase::enumerate_recursive_wrapper< a+3,dualenum,findsubsols>, \
+ & EnumerationBase::enumerate_recursive_wrapper< a+4,dualenum,findsubsols>, \
+ & EnumerationBase::enumerate_recursive_wrapper< a+5,dualenum,findsubsols>, \
+ & EnumerationBase::enumerate_recursive_wrapper< a+6,dualenum,findsubsols>, \
+ & EnumerationBase::enumerate_recursive_wrapper< a+7,dualenum,findsubsols>
+#define ENUM_TABLE_FILL64(a) \
+ ENUM_TABLE_FILL8(a), ENUM_TABLE_FILL8(a+8), ENUM_TABLE_FILL8(a+16), ENUM_TABLE_FILL8(a+24), \
+ ENUM_TABLE_FILL8(a+32), ENUM_TABLE_FILL8(a+40), ENUM_TABLE_FILL8(a+48), ENUM_TABLE_FILL8(a+56)
+#define ENUM_TABLE_FILL256(a) \
+ ENUM_TABLE_FILL64(a), ENUM_TABLE_FILL64(a+64), ENUM_TABLE_FILL64(a+128), ENUM_TABLE_FILL64(a+192)
+
+template<bool dualenum, bool findsubsols>
+inline void EnumerationBase::enumerate_recursive_dispatch(int kk)
+{
+ typedef void (EnumerationBase::*enum_recur_type)();
+ static const enum_recur_type lookup[] = {
+ ENUM_TABLE_FILL256(0),
+ ENUM_TABLE_FILL256(256),
+ ENUM_TABLE_FILL256(512),
+ ENUM_TABLE_FILL256(768),
+ ENUM_TABLE_FILL256(1024),
+ ENUM_TABLE_FILL256(1280),
+ ENUM_TABLE_FILL256(1536),
+ ENUM_TABLE_FILL256(1792),
+ };
+ (this->*lookup[kk])();
+}
+
+#endif
+
+template<bool dualenum, bool findsubsols>
+void EnumerationBase::enumerate_loop()
+{
+ if (k >= k_end)
+ return;
+
+ for (int i = 0; i < k_end; ++i)
+ {
+ center_partsum_begin[i+1] = k_end - 1;
+ center_partsums[i][k_end] = center_partsum[i];
+ }
+
+ partdist[k_end] = 0.0; // needed to make next_pos_up() work properly
+
+ nodes -= k_end - k;
+ k = k_end - 1;
+
+#ifdef FPLLL_WITH_RECURSIVE_ENUM
+ enumerate_recursive_dispatch<dualenum, findsubsols>(k);
+ return;
+#endif
+
+ while (true)
+ {
+ enumf alphak = x[k] - center[k];
+ enumf newdist = partdist[k] + alphak * alphak * rdiag[k];
+ if (newdist <= partdistbounds[k])
+ {
+ ++nodes;
+ alpha[k] = alphak;
+ if (findsubsols && newdist < subsoldists[k])
+ {
+ subsoldists[k] = newdist;
+ process_subsolution(k, newdist);
+ }
+ --k;
+ if (k < 0)
+ {
+ if (newdist > 0.0)
+ process_solution(newdist);
+ if (!next_pos_up())
+ break;
+ continue;
+ }
+ if (dualenum)
+ {
+ for (int j = center_partsum_begin[k+1]; j > k; --j)
+ center_partsums[k][j] = center_partsums[k][j+1] - alpha[j] * mut[k][j];
+ }
+ else
+ {
+ for (int j = center_partsum_begin[k+1]; j > k; --j)
+ center_partsums[k][j] = center_partsums[k][j+1] - x[j] * mut[k][j];
+ }
+ center_partsum_begin[k] = max(center_partsum_begin[k], center_partsum_begin[k+1]);
+ center_partsum_begin[k+1] = k+1;
+
+ enumf newcenter = center_partsums[k][k+1];
+ center[k] = newcenter;
+ partdist[k] = newdist;
+ roundto(x[k], newcenter);
+ dx[k] = ddx[k] = (((int)(newcenter >= x[k]) & 1) << 1) - 1;
+ }
+ else
+ {
+ if (!next_pos_up())
+ break;
+ }
+ }
+}
+
+template void EnumerationBase::enumerate_loop<false,false>();
+template void EnumerationBase::enumerate_loop<false,true>();
+template void EnumerationBase::enumerate_loop<true,false>();
+template void EnumerationBase::enumerate_loop<true,true>();
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol
+ (C) 2015 Michael Walter.
+ (C) 2016 Marc Stevens. (generic improvements, auxiliary solutions, subsolutions)
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_ENUMERATE_BASE_H
+#define FPLLL_ENUMERATE_BASE_H
+
+#include <array>
+#include <cfenv>
+#include <cmath>
+#include "fplll/fplll_config.h"
+#include "fplll/nr/nr.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+inline void roundto(int& dest, const double& src) { dest = std::lrint(src); }
+inline void roundto(double& dest, const double& src) { dest = std::rint(src); }
+
+/* config */
+#define FPLLL_WITH_RECURSIVE_ENUM 1
+#define MAXTEMPLATEDDIMENSION 80 // unused
+//#define FORCE_ENUM_INLINE // not recommended
+/* end config */
+
+
+#ifndef __has_attribute
+#define __has_attribute(x) 0 // Compatibility with non - GCC/clang compilers.
+#endif
+#if __has_attribute(always_inline)
+#define ALWAYS_INLINE __attribute__((always_inline))
+#else
+#define ALWAYS_INLINE
+#endif
+
+#ifndef FORCE_ENUM_INLINE
+#define ENUM_ALWAYS_INLINE
+#else
+#define ENUM_ALWAYS_INLINE ALWAYS_INLINE
+#endif
+
+class EnumerationBase
+{
+public:
+ static const int maxdim = FPLLL_MAX_ENUM_DIMENSION;
+
+ inline uint64_t get_nodes() const { return nodes; }
+ virtual ~EnumerationBase() {}
+
+protected:
+ /* configuration */
+ bool dual;
+
+ /* enumeration input */
+ enumf mut[maxdim][maxdim];
+ array<enumf, maxdim> rdiag, partdistbounds;
+ int d, k_end; // dimension, subtreelevel
+
+ /* partial sum cache */
+ enumf center_partsums[maxdim][maxdim];
+ array<enumf, maxdim> center_partsum;
+ array<int, maxdim> center_partsum_begin;
+
+ /* enumeration data for each level */
+ array<enumf, maxdim> partdist, center, alpha;
+ array<enumxt,maxdim> x, dx, ddx;
+ array<enumf, maxdim> subsoldists;
+
+ int k, k_max;
+
+ /* nodes count */
+ uint64_t nodes;
+
+ template<int kk, int kk_start, bool dualenum, bool findsubsols>
+ struct opts
+ {};
+
+ /* need templated function argument for support of integer specialization for kk==-1 */
+ template<int kk, int kk_start, bool dualenum, bool findsubsols>
+ inline void enumerate_recursive( opts<kk, kk_start, dualenum, findsubsols> ) ENUM_ALWAYS_INLINE;
+ template<int kk_start, bool dualenum, bool findsubsols>
+ inline void enumerate_recursive( opts<-1, kk_start, dualenum, findsubsols> )
+ {
+ }
+
+ /* simple wrapper with no function argument as helper for dispatcher */
+ template<int kk, bool dualenum, bool findsubsols>
+ void enumerate_recursive_wrapper()
+ {
+ // kk < maxdim-1:
+ // kk < kk_end (see enumerate_loop(), enumerate_base.cpp)
+ // kk_end = d - subtree.size() <= d (see prepare_enumeration(), enumerate.cpp)
+ // d < maxdim (see enumerate(), enumerate.cpp)
+ enumerate_recursive( opts<(kk<(maxdim-1) ? kk : -1),0,dualenum,findsubsols>() );
+ }
+
+ template<bool dualenum, bool findsubsols>
+ inline void enumerate_recursive_dispatch(int kk);
+
+ template<bool dualenum, bool findsubsols>
+ void enumerate_loop();
+
+ virtual void process_solution(enumf newmaxdist) = 0;
+ virtual void process_subsolution(int offset, enumf newdist) = 0;
+
+ int rounding_backup;
+ void save_rounding()
+ {
+ rounding_backup = std::fegetround();
+ std::fesetround(FE_TONEAREST);
+ }
+ void restore_rounding()
+ {
+ std::fesetround(rounding_backup);
+ }
+
+ inline bool next_pos_up()
+ {
+ ++k;
+ if (partdist[k] != 0.0)
+ {
+ x[k] += dx[k];
+ ddx[k] = -ddx[k];
+ dx[k] = ddx[k] - dx[k];
+ }
+ else
+ {
+ if (k >= k_end)
+ return false;
+ k_max = k;
+ ++x[k];
+ }
+ return true;
+ }
+};
+
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "evaluator.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+void Evaluator<Float>::init_delta_def(int prec, double rho, bool withRoundingToEnumf)
+{
+ /* Computes error bounds on GSO
+ For all 0 <= i < d and 0 <= j <= i we have:
+ |r~_i - r_i| / r_i <= maxRelDR = d * rho ^ (i + 1) * 2 ^ (2 - prec)
+ |mu~_(i,j) - mu_(i,j)| <= d * rho ^ (i + 1) * 2 ^ (4 - prec)
+ The following formula is used to bound absolute error on r_i:
+ |r~_i - r_i| <= r_i * maxRelDR <= (r~_i + |r~_i - r_i| * maxRelDR)
+ ==> |r~_i - r_i| <= r~_i * maxRelDR / (1 - maxRelDR) */
+ Float rhoPow, maxRelDR, ftmp1;
+ input_error_defined = true;
+ for (int j = 0; j < d; j++)
+ {
+ rhoPow = rho;
+ rhoPow.pow_si(rhoPow, j + 1, GMP_RNDU); // >= rho ^ (j + 1)
+ ftmp1 = d;
+ ftmp1.mul_2si(ftmp1, 2 - prec); // = d * 2 ^ (2 - prec)
+ maxRelDR.mul(ftmp1, rhoPow, GMP_RNDU); // >= |r~_j - r_j| / r_j
+ ftmp1 = 1.0;
+ ftmp1.sub(ftmp1, maxRelDR, GMP_RNDD); // <= 1 - maxRelDR
+ ftmp1.div(maxRelDR, ftmp1, GMP_RNDU); // >= maxRelDR/(1-maxRelDR)
+ ftmp1.mul(ftmp1, r(j, j)); // >= |r~_j - r_j|
+ max_dr_diag[j] = ftmp1;
+
+ ftmp1 = d;
+ ftmp1.mul_2si(ftmp1, 4 - prec); // = d * 2 ^ (4 - prec)
+ ftmp1.mul(ftmp1, rhoPow, GMP_RNDU); // >= |mu~_(?,j) - mu_(?,j)|
+ max_dm_u[j] = ftmp1;
+ }
+ if (withRoundingToEnumf)
+ {
+ Float halfULP;
+ halfULP = numeric_limits<double>::epsilon() * 0.5;
+ for (int j = 0; j < d; j++)
+ {
+ max_dr_diag[j].addmul(r(j, j), halfULP, GMP_RNDU); // >= |double(r~_j) - r_j|
+ max_dm_u[j].add(max_dm_u[j], halfULP, GMP_RNDU);
+ }
+ }
+}
+
+/* Main function for error evaluation
+ Returns maxDE such that in each loop of the enumeration, if
+ exact_squared_norm(vector) <= max_dist (when boundOnExactVal = true)
+ or
+ computed_squared_norm(vector) <= max_dist (when boundOnExactVal = false)
+ then
+ |exact_squared_norm(vector) - computed_squared_norm(vector)| <= maxDE
+ (computed_squared_norm(vector) is the variable 'new_dist' is enumerateLoop)
+
+ In the following comments:
+ - The symbols +~ and *~ represent rounded fp addition and multiplication
+ - a,b,c,... represent exact values
+ - a~,b~,c~,... are approx. values used or computed by the fp algorithm */
+
+bool Evaluator<Float>::get_max_error_aux(const Float &max_dist, bool boundOnExactVal, Float &maxDE)
+{
+
+ FPLLL_CHECK(input_error_defined,
+ "Evaluator: error evaluation failed because the input error is undefined");
+
+ Float ulp, halfULP, K, tmp1, tmp2;
+ Float rdiagTilde, minRDiag, maxRDiag, muTilde, maxMu, maxMuTildeX;
+ Float maxC, maxCTilde, maxY, maxYTilde, maxY2Tilde, maxRY2Tilde;
+ Float maxDC, maxDY, maxDY2, maxDRY2;
+ FloatVect maxX(d);
+
+ ulp = numeric_limits<double>::epsilon();
+ halfULP.mul_2si(ulp, -1);
+ K = 1.0;
+ K.add(K, halfULP, GMP_RNDU);
+ maxDE = 0.0;
+
+ for (int i = d - 1; i >= 0; i--)
+ {
+ maxC = 0.0;
+ maxCTilde = 0.0;
+ maxDC = 0.0;
+
+ long rdiagExp = r(i, i).exponent();
+ tmp1.mul_2si(r(i, i), -rdiagExp);
+ tmp1 = tmp1.get_d();
+ rdiagTilde.mul_2si(tmp1, rdiagExp); // = r~_i
+
+ /* Computes bounds on:
+ C = mu(d-1,i) * x_(d-1) + ... + mu(j,i) * x_j
+ C~ = mu~(d-1,i) *~ x_(d-1) +~ ... +~ mu~(j,i) *~ x_j
+ DC = |C - C~| */
+ for (int j = d - 1; j > i; j--)
+ {
+ maxMu.abs(mu(j, i));
+ maxMu.add(maxMu, max_dm_u[i], GMP_RNDU); // >= |mu(j,i)|
+ maxC.addmul(maxMu, maxX[j], GMP_RNDU);
+ // now maxC >= |mu(d-1,i)| * |x_(d-1)| + ... + |mu(j,i)| * |x_j|
+ muTilde = fabs(mu(j, i).get_d()); // = |mu~(j,i)|
+ maxMuTildeX.mul(muTilde, maxX[j], GMP_RNDU); // >= mu~(j,i) * x_j
+ maxDC.addmul(max_dm_u[i], maxX[j]); // err1: initial error on mu
+ maxDC.addmul(maxMuTildeX, halfULP, GMP_RNDU); // err2: rounding after *
+ maxMuTildeX.mul(maxMuTildeX, K, GMP_RNDU); // >= mu~(j,i) *~ x_j
+ maxCTilde.addmul(maxMuTildeX, K, GMP_RNDU);
+ // now maxCTilde >= |mu(d-1,i)| *~ |x_(d-1)| +~ ... + |mu(j,i)| *~ |x_j|
+ maxDC.addmul(maxCTilde, halfULP, GMP_RNDU); // err3: rounding after +
+ maxCTilde.mul(maxCTilde, K, GMP_RNDU);
+ // now maxCTilde >= |mu(d-1,i)| *~ |x_(d-1)| +~ ... +~ |mu(j,i)| *~ |x_j|
+ }
+
+ if (boundOnExactVal)
+ {
+ // We have dist <= max_dist
+ minRDiag.sub(r(i, i), max_dr_diag[i], GMP_RNDD); // <= r_i
+ if (minRDiag <= 0.0)
+ return false;
+ tmp1.div(max_dist, minRDiag, GMP_RNDU); // >= dist / r_i
+ maxY.sqrt(tmp1, GMP_RNDU); // >= |y_i|
+ /* DY = |y_i - y~_i|
+ <= DC + |x_i - C~| * halfULP
+ <= DC + (|x_i - C| + DC) * halfULP
+ = DC * K + y * halfULP */
+ maxDY.mul(maxY, halfULP, GMP_RNDU);
+ maxDY.addmul(maxDC, K, GMP_RNDU); // >= |y_i - y~_i|
+ maxYTilde.add(maxY, maxDY, GMP_RNDU); // >= |y~_i|
+ tmp1.add(maxY, maxC, GMP_RNDD); // >= |x_i|
+ maxX[i].floor(tmp1); // x_i is an integer
+ tmp1 = maxY;
+ }
+ else
+ {
+ // We have dist~ <= max_dist
+ /* dist~ >= (y~_i *~ y~_i) *~ r~_i
+ >= (y~_i *~ y~_i) * r~_i - dist~ * halfULP
+ ==> y~_i *~ y~_i <= dist~ * K / r~_i */
+ tmp1.mul(max_dist, K, GMP_RNDU);
+ tmp1.div(tmp1, rdiagTilde, GMP_RNDU); // >= y~_i *~ y~_i
+ /* tmp1 >= y~_i *~ y~_i >= y~_i * y~_i - tmp1 * halfULP
+ ==> y~_i <= sqrt(tmp1 * K) */
+ tmp1.mul(tmp1, K, GMP_RNDU);
+ maxYTilde.sqrt(tmp1, GMP_RNDU); // >= y~_i
+ maxDY.mul(maxYTilde, halfULP, GMP_RNDU); // err2: rounding after +
+ maxDY.add(maxDY, maxDC, GMP_RNDU); // err1: initial error on C
+ // now maxDY >= |y_i - y~_i|
+ /* maxYTilde >= |C~_i -~ x_i| >= |C~_i - x_i| - maxYTilde * halfULP
+ ==> |x_i| <= C~_i + maxYTilde * K */
+ tmp1 = maxCTilde;
+ tmp1.addmul(maxYTilde, K, GMP_RNDD); // >= |x_i|
+ maxX[i].floor(tmp1); // x_i is an integer
+ tmp1 = maxYTilde;
+ }
+
+ maxDY2.mul(maxDY, tmp1);
+ maxDY2.mul_2si(maxDY2, 1);
+ maxDY2.addmul(maxDY, maxDY, GMP_RNDU);
+ /* now, we have maxDY2 <= |y~_i * y~_i - y_i * y_i|
+ Case 1: tmp1 = maxY
+ |y~_i * y~_i - y_i * y_i| <= (maxY + maxDY) ^ 2 - maxY ^ 2
+ Case 2: tmp1 = maxY~
+ |y~_i * y~_i - y_i * y_i| <= (maxY~ + maxDY) ^ 2 - maxY~ ^ 2 */
+ maxY2Tilde.mul(maxYTilde, maxYTilde, GMP_RNDU); // >= y~_i * y~_i
+ maxDY2.addmul(maxY2Tilde, halfULP, GMP_RNDU);
+ /* now, we have maxDY2 <= |y~_i *~ y~_i - y_i * y_i| */
+ maxY2Tilde.mul(maxY2Tilde, K, GMP_RNDU); // >= y~_i *~ y~_i
+ maxRDiag.add(r(i, i), max_dr_diag[i], GMP_RNDU); // >= r_i
+ maxRY2Tilde.mul(rdiagTilde, maxY2Tilde, GMP_RNDU); // >= y~_i *~ y~_i * r~_i
+
+ maxDRY2.mul(maxRDiag, maxDY2, GMP_RNDU);
+ maxDRY2.addmul(maxY2Tilde, max_dr_diag[i], GMP_RNDU);
+ maxDRY2.addmul(maxRY2Tilde, halfULP, GMP_RNDU);
+ /* now maxDRY2 >= |y~_i *~ y~_i - y_i * y_i| * r_i +
+ |y~_i *~ y~_i| * |r~_i - r_i| +
+ y~_i *~ y~_i * r~_i * halfULP
+ >= |y~_i *~ y~_i * r~_i - y_i * y_i * r_i| +
+ y~_i *~ y~_i * r~_i * halfULP */
+
+ /* Let u = dist_(i+1), u~ = dist~_(i+1), v = y_i * y_i * r_i and
+ v~ = y~_i *~ y~_i *~ r~_i. We have:
+ |dist_i - dist~_i| = |(u~ +~ v~) - (u + v)|
+ <= |u~ +~ v~) - (u~ + v~)| + |(u~ + v~) - (u + v)|
+ Case 1: dist <= max_dist
+ |dist_i - dist~_i| <= (u~ + v~) * halfULP + |(u~ + v~) - (u + v)|
+ <= (u + v) * halfULP + K * |(u~ + v~) - (u + v)|
+ <= max_dist * halfULP + K * |(u~ + v~) - (u + v)|
+ Case 2: dist~ <= max_dist
+ |dist_i - dist~_i| <= (u~ +~ v~) * halfULP + |(u~ + v~) - (u + v)|
+ <= (u~ +~ v~) * halfULP + K * |(u~ + v~) - (u + v)|
+ <= max_dist * halfULP + K * |(u~ + v~) - (u + v)| */
+ maxDE.add(maxDE, maxDRY2, GMP_RNDU);
+ maxDE.mul(maxDE, K, GMP_RNDU);
+ maxDE.addmul(max_dist, halfULP, GMP_RNDU);
+ }
+
+ return true;
+}
+
+void FastEvaluator<Float>::eval_sol(const FloatVect &new_sol_coord, const enumf &new_partial_dist,
+ enumf &max_dist)
+{
+ // Assumes that the solution is valid
+ if (eval_mode == EVALMODE_SV)
+ {
+ if (max_aux_sols != 0 && !sol_coord.empty())
+ {
+ aux_sol_coord.emplace_front(std::move(sol_coord));
+ aux_sol_dist.emplace_front(sol_dist);
+ if (aux_sol_coord.size() > max_aux_sols)
+ {
+ aux_sol_coord.pop_back();
+ aux_sol_dist.pop_back();
+ }
+ }
+ sol_coord = new_sol_coord;
+ max_dist = sol_dist = new_partial_dist;
+ last_partial_dist = new_partial_dist; // Exact conversion
+ last_partial_dist.mul_2si(last_partial_dist, normExp);
+ }
+ else if (eval_mode == EVALMODE_PRINT)
+ {
+ cout << new_sol_coord << "\n";
+ }
+ new_sol_flag = true;
+ sol_count++;
+}
+
+void FastEvaluator<Float>::eval_sub_sol(int offset, const FloatVect &new_sub_sol_coord,
+ const enumf &sub_dist)
+{
+ sub_sol_coord.resize(std::max(sub_sol_coord.size(), std::size_t(offset + 1)));
+ sub_sol_dist.resize(sub_sol_coord.size(), -1.0);
+ if (sub_sol_dist[offset] == -1.0 || sub_dist < sub_sol_dist[offset])
+ {
+ sub_sol_coord[offset] = new_sub_sol_coord;
+ for (int i = 0; i < offset; ++i)
+ sub_sol_coord[offset][i] = 0.0;
+ sub_sol_dist[offset] = sub_dist;
+ }
+}
+
+bool FastEvaluator<Float>::get_max_error(Float &max_error)
+{
+ Float maxE, maxDE, maxOptDE, minOptE, one;
+
+ if (sol_coord.empty() || !input_error_defined)
+ return false;
+ if (!get_max_error_aux(last_partial_dist, false, maxDE))
+ return false;
+
+ // Exact norm of an optimal solution <= Exact norm of the result <= maxE
+ maxE.add(last_partial_dist, maxDE, GMP_RNDU);
+ // Error on the norm of an optimal solution <= maxOptDE
+ if (!get_max_error_aux(maxE, true, maxOptDE))
+ return false;
+ // Approx. norm of an optimal solution >= minOptE
+ minOptE.sub(last_partial_dist, maxOptDE, GMP_RNDD);
+
+ one = 1.0;
+ max_error.div(maxE, minOptE, GMP_RNDU);
+ max_error.sub(max_error, one, GMP_RNDU);
+ return true;
+}
+
+bool ExactEvaluator::get_max_error(Float &max_error)
+{
+ max_error = 0.0;
+ return true;
+}
+
+void ExactEvaluator::eval_sol(const FloatVect &new_sol_coord, const enumf &new_partial_dist,
+ enumf &max_dist)
+{
+ int n = matrix.get_cols();
+ Integer new_sol_dist, coord;
+ IntVect new_sol;
+
+ gen_zero_vect(new_sol, n);
+ new_sol_dist = 0;
+
+ // Computes the distance between x and zero
+ for (int i = 0; i < d; i++)
+ {
+ coord.set_f(new_sol_coord[i]);
+ for (int j = 0; j < n; j++)
+ new_sol[j].addmul(coord, matrix(i, j));
+ }
+ for (int i = 0; i < n; i++)
+ {
+ coord = new_sol[i];
+ new_sol_dist.addmul(coord, coord);
+ }
+
+ if (int_max_dist < 0 || new_sol_dist <= int_max_dist)
+ {
+ if (eval_mode == EVALMODE_SV)
+ {
+ if (max_aux_sols != 0 && !sol_coord.empty())
+ {
+ aux_sol_coord.emplace_front(std::move(sol_coord));
+ aux_sol_dist.emplace_front(sol_dist);
+ aux_sol_int_dist.emplace_front(int_max_dist);
+ if (aux_sol_coord.size() > max_aux_sols)
+ {
+ aux_sol_coord.pop_back();
+ aux_sol_dist.pop_back();
+ aux_sol_int_dist.pop_back();
+ }
+ }
+ // Updates the stored solution
+ last_partial_dist = new_partial_dist;
+ last_partial_dist.mul_2si(last_partial_dist, normExp);
+ sol_coord = new_sol_coord;
+ int_max_dist = new_sol_dist;
+ update_max_dist(max_dist);
+ sol_dist = max_dist;
+ }
+ else if (eval_mode == EVALMODE_PRINT)
+ {
+ cout << new_sol_coord << "\n";
+ }
+ new_sol_flag = true;
+ sol_count++;
+ }
+}
+
+void ExactEvaluator::eval_sub_sol(int offset, const FloatVect &new_sub_sol_coord,
+ const enumf &sub_dist)
+{
+ sub_sol_coord.resize(std::max(sub_sol_coord.size(), std::size_t(offset + 1)));
+ sub_sol_dist.resize(sub_sol_coord.size(), -1.0);
+ Integer minusone;
+ minusone = -1;
+ sub_sol_int_dist.resize(sub_sol_coord.size(), minusone);
+
+ int n = matrix.get_cols();
+ Integer new_sol_dist, coord;
+ IntVect new_sol;
+
+ gen_zero_vect(new_sol, n);
+ new_sol_dist = 0;
+
+ // Computes the distance between x[[offset,d)] and zero
+ for (int i = offset; i < d; i++)
+ {
+ coord.set_f(new_sub_sol_coord[i]);
+ for (int j = 0; j < n; j++)
+ new_sol[j].addmul(coord, matrix(i, j));
+ }
+ for (int i = 0; i < n; i++)
+ {
+ coord = new_sol[i];
+ new_sol_dist.addmul(coord, coord);
+ }
+
+ if (sub_sol_int_dist[offset] < 0 || new_sol_dist <= sub_sol_int_dist[offset])
+ {
+ sub_sol_coord[offset] = new_sub_sol_coord;
+ for (int i = 0; i < offset; ++i)
+ sub_sol_coord[offset][i] = 0.0;
+ sub_sol_dist[offset] = sub_dist;
+ sub_sol_int_dist[offset] = new_sol_dist;
+ }
+}
+
+// Decreases the bound of the algorithm when a solution is found
+void ExactEvaluator::update_max_dist(enumf &max_dist)
+{
+ Float fMaxDist, maxDE;
+ fMaxDist.set_z(int_max_dist, GMP_RNDU);
+ bool result = get_max_error_aux(fMaxDist, true, maxDE);
+ FPLLL_CHECK(result, "ExactEvaluator: error cannot be bounded");
+ FPLLL_CHECK(maxDE <= r(0, 0), "ExactEvaluator: max error is too large");
+ fMaxDist.add(fMaxDist, maxDE);
+ fMaxDist.mul_2si(fMaxDist, -normExp);
+ max_dist = fMaxDist.get_d();
+}
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_EVALUATOR_H
+#define FPLLL_EVALUATOR_H
+
+#include "../util.h"
+#include <deque>
+
+FPLLL_BEGIN_NAMESPACE
+
+enum EvaluatorMode
+{
+ EVALMODE_SV = 0,
+ EVALMODE_CV = 0,
+ EVALMODE_COUNT = 1,
+ EVALMODE_PRINT = 2
+};
+
+/**
+ * Evaluator stores the best solution found by enumerate. The Float
+ * specialization provides additional information about the solution accuracy.
+ */
+template <class FT> class Evaluator
+{
+public:
+ Evaluator(size_t max_aux_solutions = 0, bool find_subsolutions = false)
+ : max_aux_sols(max_aux_solutions), findsubsols(find_subsolutions), new_sol_flag(false)
+ {
+ }
+ virtual ~Evaluator() {}
+
+ /** Called by enumerate when a solution is found.
+ Input: new_sol_coord = coordinates of the solution in Gram-Schmidt basis
+ new_partial_dist = estimated distance between the solution and the
+ orthogonal projection of target on the lattice space
+ max_dist = current bound of the algorithm
+ Output: max_dist can be decreased */
+ virtual void eval_sol(const vector<FT> &new_sol_coord, const enumf &new_partial_dist,
+ enumf &max_dist) = 0;
+
+ virtual void eval_sub_sol(int offset, const vector<FT> &new_sub_sol_coord,
+ const enumf &sub_dist) = 0;
+
+ virtual void set_normexp(long /*norm_exp*/) {}
+
+ /** Coordinates of the solution in the lattice */
+ vector<FT> sol_coord;
+ enumf sol_dist;
+
+ /** Other solutions found in the lattice */
+ size_t max_aux_sols;
+ std::deque<vector<FT>> aux_sol_coord;
+ std::deque<enumf> aux_sol_dist;
+
+ /** Subsolutions found in the lattice */
+ bool findsubsols;
+ vector<vector<FT>> sub_sol_coord;
+ vector<enumf> sub_sol_dist;
+
+ /** Set to true when sol_coord is updated */
+ bool new_sol_flag;
+};
+
+/**
+ * Simple solution evaluator which provides a result without error bound.
+ * The same instance can be used for several calls to enumerate on different
+ * problems.
+ */
+template <class FT> class FastEvaluator : public Evaluator<FT>
+{
+public:
+ using Evaluator<FT>::sol_coord;
+ using Evaluator<FT>::sol_dist;
+ using Evaluator<FT>::new_sol_flag;
+ using Evaluator<FT>::aux_sol_coord;
+ using Evaluator<FT>::aux_sol_dist;
+ using Evaluator<FT>::sub_sol_coord;
+ using Evaluator<FT>::sub_sol_dist;
+ using Evaluator<FT>::max_aux_sols;
+
+ FastEvaluator(size_t max_aux_solutions = 0, bool find_subsolutions = false)
+ : Evaluator<FT>(max_aux_solutions, find_subsolutions)
+ {
+ }
+
+ virtual ~FastEvaluator() {}
+
+ /**
+ * Called by enumerate when a solution is found.
+ * FastEvaluator always accepts the solution and sets the bound max_dist to
+ * new_partial_dist.
+ *
+ * @param new_sol_coord Coordinates of the solution in the lattice
+ * @param new_partial_dist Floating-point evaluation of the norm of the solution
+ * @param max_dist Bound of the enumeration (updated by the function)
+ * @param normExp r(i, i) is divided by 2^normExp in enumerate before
+ * being converted to double
+ */
+ virtual void eval_sol(const vector<FT> &new_sol_coord, const enumf &new_partial_dist,
+ enumf &max_dist)
+ {
+ if (max_aux_sols != 0 && !sol_coord.empty())
+ {
+ aux_sol_coord.emplace_front(std::move(sol_coord));
+ aux_sol_dist.emplace_front(sol_dist);
+ if (aux_sol_coord.size() > max_aux_sols)
+ {
+ aux_sol_coord.pop_back();
+ aux_sol_dist.pop_back();
+ }
+ }
+ sol_coord = new_sol_coord;
+ max_dist = sol_dist = new_partial_dist;
+ new_sol_flag = true;
+ }
+
+ virtual void eval_sub_sol(int offset, const vector<FT> &new_sub_sol_coord, const enumf &sub_dist)
+ {
+ sub_sol_coord.resize(std::max(sub_sol_coord.size(), std::size_t(offset + 1)));
+ sub_sol_dist.resize(sub_sol_coord.size(), -1.0);
+ if (sub_sol_dist[offset] == -1.0 || sub_dist < sub_sol_dist[offset])
+ {
+ sub_sol_coord[offset] = new_sub_sol_coord;
+ for (int i = 0; i < offset; ++i)
+ sub_sol_coord[offset][i] = 0.0;
+ sub_sol_dist[offset] = sub_dist;
+ }
+ }
+};
+
+/**
+ * Evaluator stores the best solution found by enumerate and provides
+ * information about the accuracy of this solution.
+ */
+template <> class Evaluator<Float>
+{
+public:
+ Evaluator<Float>(int d, const Matrix<Float> &mu, const Matrix<Float> &r, int eval_mode,
+ size_t max_aux_solutions = 0, bool find_subsolutions = false)
+ : max_aux_sols(max_aux_solutions), findsubsols(find_subsolutions), new_sol_flag(false),
+ eval_mode(eval_mode), input_error_defined(false), d(d), mu(mu), r(r)
+ {
+ max_dr_diag.resize(d);
+ max_dm_u.resize(d);
+ }
+
+ virtual ~Evaluator<Float>() {}
+
+ virtual void set_normexp(long norm_exp) { normExp = norm_exp; }
+ long normExp;
+
+ void init_delta_def(int prec, double rho, bool withRoundingToEnumf);
+
+ /**
+ * Computes max_error such that
+ * normOfSolution^2 <= (1 + max_error) * lambda_1(L)^2.
+ * The default implementation might fail (i.e. return false).
+ */
+ virtual bool get_max_error(Float &max_error) = 0;
+
+ /**
+ * Called by enumerate when a solution is found.
+ * The default implementation always accepts the solution and sets the bound
+ * max_dist to new_partial_dist.
+ *
+ * @param new_sol_coord Coordinates of the solution
+ * @param new_partial_dist Floating-point estimation of the norm of the solution
+ * @param max_dist Bound of the enumeration (updated by the function)
+ * @param normExp It is assumed that r(i, i) is divided by 2^normExp
+ * in enumerate
+ */
+ virtual void eval_sol(const FloatVect &new_sol_coord, const enumf &new_partial_dist,
+ enumf &max_dist) = 0;
+ virtual void eval_sub_sol(int offset, const FloatVect &new_sub_sol_coord,
+ const enumf &sub_dist) = 0;
+
+ // Internal use
+ bool get_max_error_aux(const Float &max_dist, bool boundOnExactVal, Float &maxDE);
+
+ /** Coordinates of the solution in the lattice */
+ FloatVect sol_coord;
+ enumf sol_dist;
+
+ /** Other solutions found in the lattice */
+ size_t max_aux_sols;
+ std::deque<FloatVect> aux_sol_coord;
+ std::deque<enumf> aux_sol_dist;
+
+ /** Subsolutions found in the lattice */
+ bool findsubsols;
+ vector<FloatVect> sub_sol_coord;
+ vector<enumf> sub_sol_dist;
+
+ /** Set to true when sol_coord is updated */
+ bool new_sol_flag;
+ /** Incremented when sol_coord is updated */
+ long long sol_count;
+ int eval_mode;
+
+ /* To enable error estimation, the caller must set
+ input_error_defined=true and fill max_dr_diag and max_dm_u */
+ bool input_error_defined;
+ FloatVect max_dr_diag, max_dm_u; // Error bounds on input parameters
+ Float last_partial_dist; // Approx. squared norm of the last solution
+
+ int d;
+ const Matrix<Float> μ
+ const Matrix<Float> &r;
+};
+
+/**
+ * Simple solution evaluator which provides a non-certified result, but can
+ * give an error bound.
+ * The same object can be used for several calls to enumerate on different
+ * instances.
+ */
+template <> class FastEvaluator<Float> : public Evaluator<Float>
+{
+public:
+ FastEvaluator(int d = 0, const Matrix<Float> &mu = Matrix<Float>(),
+ const Matrix<Float> &r = Matrix<Float>(), int eval_mode = EVALMODE_SV,
+ size_t max_aux_solutions = 0, bool find_subsolutions = false)
+ : Evaluator<Float>(d, mu, r, eval_mode, max_aux_solutions, find_subsolutions)
+ {
+ }
+ virtual ~FastEvaluator() {}
+
+ virtual bool get_max_error(Float &max_error);
+ virtual void eval_sol(const FloatVect &new_sol_coord, const enumf &new_partial_dist,
+ enumf &max_dist);
+ virtual void eval_sub_sol(int offset, const FloatVect &new_sub_sol_coord, const enumf &sub_dist);
+};
+
+/**
+ * ExactEvaluator stores the best solution found by enumerate.
+ * The result is guaranteed, but the the evaluation of new solutions is longer.
+ */
+class ExactEvaluator : public Evaluator<Float>
+{
+public:
+ ExactEvaluator(int d, const IntMatrix &matrix, const Matrix<Float> &mu, const Matrix<Float> &r,
+ int eval_mode, size_t max_aux_solutions = 0, bool find_subsolutions = false)
+ : Evaluator<Float>(d, mu, r, eval_mode, max_aux_solutions, find_subsolutions), matrix(matrix)
+ {
+ int_max_dist = -1;
+ }
+
+ /**
+ * Sets max_error to 0: the result is guaranteed.
+ */
+ virtual bool get_max_error(Float &max_error);
+
+ virtual void eval_sol(const FloatVect &new_sol_coord, const enumf &new_partial_dist,
+ enumf &max_dist);
+
+ virtual void eval_sub_sol(int offset, const FloatVect &new_sub_sol_coord, const enumf &sub_dist);
+
+ Integer int_max_dist; // Exact norm of the last vector
+
+ std::deque<Integer> aux_sol_int_dist; // Exact norm of aux vectors
+ vector<Integer> sub_sol_int_dist; // Exact norm of sub vectors
+
+private:
+ void update_max_dist(enumf &max_dist);
+
+ const IntMatrix &matrix; // matrix of the lattice
+};
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "topenum.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+Enumerator::Enumerator(int d, const Matrix<Float> &mu, const Matrix<Float> &r, double argMaxVolume,
+ int min_level)
+ : mu(mu), r(r), kmin(min_level), d(d)
+{
+ max_volume = argMaxVolume > 0 ? argMaxVolume : ENUM_MAX_VOLUME;
+ gen_zero_vect(center, d);
+ gen_zero_vect(dist, d);
+ gen_zero_vect(x, d);
+ gen_zero_vect(dx, d);
+ gen_zero_vect(ddx, d);
+ svp_init_needed = true;
+}
+
+bool Enumerator::enum_next(const Float &max_sqr_length)
+{
+ Float newdist, newcenter, y, volume, rtmp1;
+ bool notFound = true;
+
+ if (svp_init_needed)
+ {
+ for (k = d - 1; k > kmin; k--)
+ {
+ cost_estimate(volume, max_sqr_length, r, k - 1);
+ if (volume <= max_volume)
+ break;
+ }
+ kmax = k;
+ svp_init_needed = false;
+ }
+ if (k >= d)
+ return false;
+
+ while (notFound)
+ {
+ // FPLLL_TRACE("Level k=" << k << " dist_k=" << dist[k] << " x_k=" << x[k]);
+ y.sub(center[k], x[k]);
+ newdist.mul(y, y);
+ newdist.mul(newdist, r(k, k));
+ newdist.add(newdist, dist[k]);
+
+ if (newdist <= max_sqr_length)
+ {
+ rtmp1.sub(max_sqr_length, newdist);
+ cost_estimate(volume, rtmp1, r, k - 1);
+ if (k > kmin && volume >= max_volume)
+ {
+ k--;
+ // FPLLL_TRACE(" Go down, newdist=" << newdist);
+
+ newcenter = 0.0;
+ for (int j = d - 1; j > k; j--)
+ newcenter.submul(x[j], mu(j, k));
+
+ center[k] = newcenter;
+ dist[k] = newdist;
+ x[k].rnd(newcenter);
+ dx[k] = 0.0;
+ ddx[k] = newcenter >= x[k] ? -1.0 : 1.0;
+ continue;
+ }
+ sub_tree.resize(d - k);
+ for (size_t j = 0; j < sub_tree.size(); j++)
+ sub_tree[j] = enumxt(x[j + k].get_d());
+ // FPLLL_TRACE(" SubTree approx_size=" << volume << " coord=" << sub_tree);
+ notFound = false;
+ }
+ else
+ {
+ // FPLLL_TRACE(" Go up");
+ k++;
+ }
+ if (k < kmax)
+ {
+ ddx[k].neg(ddx[k]);
+ dx[k].sub(ddx[k], dx[k]);
+ x[k].add(x[k], dx[k]);
+ }
+ else
+ {
+ if (k >= d)
+ break;
+ kmax = k;
+ rtmp1 = 1.0;
+ x[k].add(x[k], rtmp1);
+ }
+ // FPLLL_TRACE(" x[" << k << "]=" << x[k]);
+ }
+ return !notFound;
+}
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_TOP_ENUM_H
+#define FPLLL_TOP_ENUM_H
+
+#include "../util.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+const double ENUM_MAX_VOLUME = 20000000;
+const int ENUM_MIN_LEVEL = 20;
+
+class Enumerator
+{
+public:
+ Enumerator(int d, const Matrix<Float> &mu, const Matrix<Float> &r,
+ double max_volume = ENUM_MAX_VOLUME, int min_level = ENUM_MIN_LEVEL);
+ bool enum_next(const Float &max_sqr_length);
+ inline const vector<enumxt> &get_sub_tree() { return sub_tree; }
+private:
+ const Matrix<Float> μ
+ const Matrix<Float> &r;
+ int k, kmin, kmax, d;
+ FloatVect center, dist;
+ FloatVect x, dx, ddx;
+ // FloatVect sub_tree;
+ vector<enumxt> sub_tree;
+ Float max_volume;
+ bool svp_init_needed;
+};
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
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+};
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "fplll.h"
+#include "wrapper.h"
+#include "svpcvp.cpp"
+
+FPLLL_BEGIN_NAMESPACE
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_H
+#define FPLLL_H
+
+#if __cplusplus < 201103L
+#error fplll needs at least a C++11 compliant compiler
+#endif
+
+#include "util.h"
+#include "svpcvp.h"
+#include "bkz_param.h"
+#include "bkz.h"
+#include "wrapper.h"
+#include "pruner.h"
+
+#endif
--- /dev/null
+#ifndef FPLLL_CONFIG__H
+#define FPLLL_CONFIG__H
+
+/* use quaddouble library */
+#undef FPLLL_WITH_QD
+
+/* fplll major version */
+#define FPLLL_MAJOR_VERSION @FPLLL_MAJOR_VERSION@
+
+/* fplll minor version */
+#define FPLLL_MINOR_VERSION @FPLLL_MINOR_VERSION@
+
+/* fplll micro version */
+#define FPLLL_MICRO_VERSION @FPLLL_MICRO_VERSION@
+
+/* fplll sonum */
+#define FPLLL_SONUM @FPLLL_SONUM@
+
+/* fplll version */
+#define FPLLL_VERSION @FPLLL_VERSION@
+
+/* fplll version info */
+#define FPLLL_VERSION_INFO @FPLLL_VERSION_INFO@
+
+/* Maximum supported enumeration dimension */
+#define FPLLL_MAX_ENUM_DIMENSION @FPLLL_MAX_ENUM_DIMENSION@
+
+#endif //FPLLL_CONFIG__H
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+/* Template source file */
+
+#include "gso.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+template <class ZT, class FT>
+inline void MatGSO<ZT, FT>::invalidate_gso_row(int i, int new_valid_cols)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && new_valid_cols >= 0 && new_valid_cols <= i + 1);
+ gso_valid_cols[i] = min(gso_valid_cols[i], new_valid_cols);
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::update_bf(int i)
+{
+ int n = max(n_known_cols, init_row_size[i]);
+ if (enable_row_expo)
+ {
+ long max_expo = LONG_MIN;
+ for (int j = 0; j < n; j++)
+ {
+ b(i, j).get_f_exp(bf(i, j), tmp_col_expo[j]);
+ max_expo = max(max_expo, tmp_col_expo[j]);
+ }
+ for (int j = 0; j < n; j++)
+ {
+ bf(i, j).mul_2si(bf(i, j), tmp_col_expo[j] - max_expo);
+ }
+ row_expo[i] = max_expo;
+ }
+ else
+ {
+ for (int j = 0; j < n; j++)
+ {
+ bf(i, j).set_z(b(i, j));
+ }
+ }
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::invalidate_gram_row(int i)
+{
+ for (int j = 0; j <= i; j++)
+ gf(i, j).set_nan();
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::row_op_end(int first, int last)
+{
+#ifdef DEBUG
+ FPLLL_DEBUG_CHECK(row_op_first == first && row_op_last == last);
+ row_op_first = row_op_last = -1;
+#endif
+ for (int i = first; i < last; i++)
+ {
+ if (!enable_int_gram)
+ {
+ update_bf(i);
+ invalidate_gram_row(i);
+ for (int j = i + 1; j < n_known_rows; j++)
+ gf(j, i).set_nan();
+ }
+ invalidate_gso_row(i, 0);
+ }
+ for (int i = last; i < n_known_rows; i++)
+ {
+ invalidate_gso_row(i, first);
+ }
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::discover_row()
+{
+ FPLLL_DEBUG_CHECK(n_known_rows < d);
+ /* Early reduction (cols_locked=true) is not allowed when enable_int_gram=true,
+ since n_known_cols might be too small to compute all the g(i,j). */
+ FPLLL_DEBUG_CHECK(!(cols_locked && enable_int_gram));
+ int i = n_known_rows;
+
+ n_known_rows++;
+ if (!cols_locked)
+ {
+ n_source_rows = n_known_rows;
+ n_known_cols = max(n_known_cols, init_row_size[i]);
+ }
+ if (enable_int_gram)
+ {
+ for (int j = 0; j <= i; j++)
+ dot_product(g(i, j), b[i], b[j], n_known_cols);
+ }
+ else
+ {
+ invalidate_gram_row(i);
+ }
+ gso_valid_cols[i] = 0;
+}
+
+template <class ZT, class FT> inline ZT MatGSO<ZT, FT>::get_max_gram()
+{
+ ZT tmp;
+ if (enable_int_gram)
+ {
+ tmp = g(0, 0);
+ for (int i = 0; i < n_known_rows; i++)
+ tmp = tmp.max_z(g(i, i));
+ }
+ else
+ {
+ FT tmp1 = gf(0, 0);
+ for (int i = 0; i < n_known_rows; i++)
+ tmp1 = tmp1.max_f(gf(i, i));
+ tmp.set_f(tmp1);
+ }
+ return tmp;
+}
+
+template <class ZT, class FT> inline FT MatGSO<ZT, FT>::get_max_bstar()
+{
+ FT tmp;
+ tmp = r(0, 0);
+ for (int i = 0; i < n_known_rows; i++)
+ tmp = tmp.max_f(r(i, i));
+ return tmp;
+}
+
+template <class ZT, class FT> long MatGSO<ZT, FT>::get_max_mu_exp(int i, int n_columns)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && gso_valid_cols[i] >= n_columns);
+ long max_expo = LONG_MIN, expo;
+ for (int j = 0; j < n_columns; j++)
+ {
+ long expo2 = get_mu_exp(i, j, expo).exponent();
+ max_expo = max(max_expo, expo + expo2);
+ }
+ return max_expo;
+}
+
+template <class ZT, class FT> bool MatGSO<ZT, FT>::update_gso_row(int i, int last_j)
+{
+ // FPLLL_TRACE_IN("Updating GSO up to (" << i << ", " << last_j << ")");
+ // FPLLL_TRACE("n_known_rows=" << n_known_rows << " n_source_rows=" << n_source_rows);
+ if (i >= n_known_rows)
+ {
+ discover_row();
+ }
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && last_j >= 0 && last_j < n_source_rows);
+
+ int j = max(0, gso_valid_cols[i]);
+
+ for (; j <= last_j; j++)
+ {
+ get_gram(ftmp1, i, j);
+ FPLLL_DEBUG_CHECK(j == i || gso_valid_cols[j] >= j);
+ for (int k = 0; k < j; k++)
+ {
+ ftmp2.mul(mu(j, k), r(i, k));
+ ftmp1.sub(ftmp1, ftmp2);
+ }
+ r(i, j) = ftmp1;
+ if (i > j)
+ {
+ mu(i, j).div(ftmp1, r(j, j));
+ if (!mu(i, j).is_finite())
+ return false;
+ }
+ }
+
+ gso_valid_cols[i] = j; // = max(0, gso_valid_cols[i], last_j + 1)
+ // FPLLL_TRACE_OUT("End of GSO update");
+ return true;
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::row_add(int i, int j)
+{
+ b[i].add(b[j], n_known_cols);
+ if (enable_transform)
+ {
+ u[i].add(u[j]);
+ if (enable_inverse_transform)
+ u_inv_t[j].sub(u_inv_t[i]);
+ }
+
+ if (enable_int_gram)
+ {
+ // g(i, i) += 2 * g(i, j) + g(j, j)
+ ztmp1.mul_2si(g(i, j), 1);
+ ztmp1.add(ztmp1, g(j, j));
+ g(i, i).add(g(i, i), ztmp1);
+
+ for (int k = 0; k < n_known_rows; k++)
+ if (k != i)
+ sym_g(i, k).add(sym_g(i, k), sym_g(j, k));
+ }
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::row_sub(int i, int j)
+{
+ b[i].sub(b[j], n_known_cols);
+ if (enable_transform)
+ {
+ u[i].sub(u[j]);
+ if (enable_inverse_transform)
+ u_inv_t[j].add(u_inv_t[i]);
+ }
+
+ if (enable_int_gram)
+ {
+ // g(i, i) += g(j, j) - 2 * g(i, j)
+ ztmp1.mul_2si(g(i, j), 1);
+ ztmp1.sub(g(j, j), ztmp1);
+ g(i, i).add(g(i, i), ztmp1);
+
+ for (int k = 0; k < n_known_rows; k++)
+ if (k != i)
+ sym_g(i, k).sub(sym_g(i, k), sym_g(j, k));
+ }
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::row_addmul_si(int i, int j, long x)
+{
+ b[i].addmul_si(b[j], x, n_known_cols);
+ if (enable_transform)
+ {
+ u[i].addmul_si(u[j], x);
+ if (enable_inverse_transform)
+ u_inv_t[j].addmul_si(u_inv_t[i], -x);
+ }
+
+ if (enable_int_gram)
+ {
+ /* g(i, i) += 2 * (2^e * x) * g(i, j) + 2^(2*e) * x^2 * g(j, j)
+ (must be done before updating g(i, j)) */
+ ztmp1.mul_si(g(i, j), x);
+ ztmp1.mul_2si(ztmp1, 1);
+ g(i, i).add(g(i, i), ztmp1);
+ ztmp1.mul_si(g(j, j), x);
+ ztmp1.mul_si(ztmp1, x);
+ g(i, i).add(g(i, i), ztmp1);
+
+ // g(i, k) += g(j, k) * (2^e * x) for k != i
+ for (int k = 0; k < n_known_rows; k++)
+ {
+ if (k == i)
+ continue;
+ ztmp1.mul_si(sym_g(j, k), x);
+ sym_g(i, k).add(sym_g(i, k), ztmp1);
+ }
+ }
+}
+
+template <class ZT, class FT>
+void MatGSO<ZT, FT>::row_addmul_si_2exp(int i, int j, long x, long expo)
+{
+ b[i].addmul_si_2exp(b[j], x, expo, n_known_cols, ztmp1);
+ if (enable_transform)
+ {
+ u[i].addmul_si_2exp(u[j], x, expo, ztmp1);
+ if (enable_inverse_transform)
+ u_inv_t[j].addmul_si_2exp(u_inv_t[i], -x, expo, ztmp1);
+ }
+
+ if (enable_int_gram)
+ {
+ /* g(i, i) += 2 * (2^e * x) * g(i, j) + 2^(2*e) * x^2 * g(j, j)
+ (must be done before updating g(i, j)) */
+ ztmp1.mul_si(g(i, j), x);
+ ztmp1.mul_2si(ztmp1, expo + 1);
+ g(i, i).add(g(i, i), ztmp1);
+ ztmp1.mul_si(g(j, j), x);
+ ztmp1.mul_si(ztmp1, x);
+ ztmp1.mul_2si(ztmp1, 2 * expo);
+ g(i, i).add(g(i, i), ztmp1);
+
+ // g(i, k) += g(j, k) * (2^e * x) for k != i
+ for (int k = 0; k < n_known_rows; k++)
+ {
+ if (k == i)
+ continue;
+ ztmp1.mul_si(sym_g(j, k), x);
+ ztmp1.mul_2si(ztmp1, expo);
+ sym_g(i, k).add(sym_g(i, k), ztmp1);
+ }
+ }
+}
+
+template <class ZT, class FT>
+void MatGSO<ZT, FT>::row_addmul_2exp(int i, int j, const ZT &x, long expo)
+{
+ b[i].addmul_2exp(b[j], x, expo, n_known_cols, ztmp1);
+ if (enable_transform)
+ {
+ u[i].addmul_2exp(u[j], x, expo, ztmp1);
+ if (enable_inverse_transform)
+ {
+ ZT minus_x;
+ minus_x.neg(x);
+ u_inv_t[j].addmul_2exp(u_inv_t[i], minus_x, expo, ztmp1);
+ }
+ }
+
+ if (enable_int_gram)
+ {
+ /* g(i, i) += 2 * (2^e * x) * g(i, j) + 2^(2*e) * x^2 * g(j, j)
+ (must be done before updating g(i, j)) */
+ ztmp1.mul(g(i, j), x);
+ ztmp1.mul_2si(ztmp1, expo + 1);
+ g(i, i).add(g(i, i), ztmp1);
+ ztmp1.mul(g(j, j), x);
+ ztmp1.mul(ztmp1, x);
+ ztmp1.mul_2si(ztmp1, 2 * expo);
+ g(i, i).add(g(i, i), ztmp1);
+
+ // g(i, k) += g(j, k) * (2^e * x) for k != i
+ for (int k = 0; k < n_known_rows; k++)
+ {
+ if (k == i)
+ continue;
+ ztmp1.mul(sym_g(j, k), x);
+ ztmp1.mul_2si(ztmp1, expo);
+ sym_g(i, k).add(sym_g(i, k), ztmp1);
+ }
+ }
+}
+
+template <class ZT, class FT>
+void MatGSO<ZT, FT>::row_addmul_we(int i, int j, const FT &x, long expo_add)
+{
+ FPLLL_DEBUG_CHECK(j >= 0 && /*i > j &&*/ i < n_known_rows && j < n_source_rows);
+ long expo;
+ long lx = x.get_si_exp_we(expo, expo_add);
+
+ if (expo == 0)
+ {
+ if (lx == 1)
+ row_add(i, j);
+ else if (lx == -1)
+ row_sub(i, j);
+ else if (lx != 0)
+ row_addmul_si(i, j, lx);
+ }
+ else if (row_op_force_long)
+ {
+ row_addmul_si_2exp(i, j, lx, expo);
+ }
+ else
+ {
+ x.get_z_exp_we(ztmp2, expo, expo_add);
+ row_addmul_2exp(i, j, ztmp2, expo);
+ }
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::row_swap(int i, int j)
+{
+ FPLLL_DEBUG_CHECK(!enable_inverse_transform);
+ b.swap_rows(i, j);
+ if (enable_transform)
+ {
+ u.swap_rows(i, j);
+ }
+
+ if (enable_int_gram)
+ {
+ for (int k = 0; k < i; k++)
+ g(i, k).swap(g(j, k));
+ for (int k = i + 1; k < j; k++)
+ g(k, i).swap(g(j, k));
+ for (int k = j + 1; k < n_known_rows; k++)
+ g(k, i).swap(g(k, j));
+ g(i, i).swap(g(j, j));
+ }
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::move_row(int old_r, int new_r)
+{
+ FPLLL_DEBUG_CHECK(!cols_locked);
+ if (new_r < old_r)
+ {
+ FPLLL_DEBUG_CHECK(old_r < n_known_rows && !cols_locked);
+ for (int i = new_r; i < n_known_rows; i++)
+ {
+ invalidate_gso_row(i, new_r);
+ }
+ rotate(gso_valid_cols.begin() + new_r, gso_valid_cols.begin() + old_r,
+ gso_valid_cols.begin() + old_r + 1);
+ mu.rotate_right(new_r, old_r);
+ r.rotate_right(new_r, old_r);
+ b.rotate_right(new_r, old_r);
+ if (enable_transform)
+ {
+ u.rotate_right(new_r, old_r);
+ if (enable_inverse_transform)
+ u_inv_t.rotate_right(new_r, old_r);
+ }
+ if (enable_int_gram)
+ g.rotate_gram_right(new_r, old_r, n_known_rows);
+ else
+ {
+ gf.rotate_gram_right(new_r, old_r, n_known_rows);
+ bf.rotate_right(new_r, old_r);
+ }
+ if (enable_row_expo)
+ rotate(row_expo.begin() + new_r, row_expo.begin() + old_r, row_expo.begin() + old_r + 1);
+ }
+ else if (new_r > old_r)
+ {
+ for (int i = old_r; i < n_known_rows; i++)
+ {
+ invalidate_gso_row(i, old_r);
+ }
+ rotate(gso_valid_cols.begin() + old_r, gso_valid_cols.begin() + old_r + 1,
+ gso_valid_cols.begin() + new_r + 1);
+ mu.rotate_left(old_r, new_r);
+ r.rotate_left(old_r, new_r);
+ b.rotate_left(old_r, new_r);
+ if (enable_transform)
+ {
+ u.rotate_left(old_r, new_r);
+ if (enable_inverse_transform)
+ u_inv_t.rotate_left(old_r, new_r);
+ }
+ if (enable_int_gram)
+ {
+ if (old_r < n_known_rows - 1)
+ g.rotate_gram_left(old_r, min(new_r, n_known_rows - 1), n_known_rows);
+ }
+ else
+ {
+ if (old_r < n_known_rows - 1)
+ gf.rotate_gram_left(old_r, min(new_r, n_known_rows - 1), n_known_rows);
+ bf.rotate_left(old_r, new_r);
+ }
+ if (enable_row_expo)
+ rotate(row_expo.begin() + old_r, row_expo.begin() + old_r + 1, row_expo.begin() + new_r + 1);
+ if (new_r >= n_known_rows)
+ {
+ rotate(init_row_size.begin() + old_r, init_row_size.begin() + old_r + 1,
+ init_row_size.begin() + new_r + 1);
+ if (old_r < n_known_rows)
+ {
+ n_known_rows--;
+ n_source_rows = n_known_rows;
+ init_row_size[new_r] = max(b[new_r].size_nz(), 1);
+ }
+ }
+ }
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::lock_cols() { cols_locked = true; }
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::unlock_cols()
+{
+ n_known_rows = n_source_rows;
+ cols_locked = false;
+}
+
+template <class ZT, class FT>
+void MatGSO<ZT, FT>::apply_transform(const Matrix<FT> &transform, int src_base, int target_base)
+{
+ int target_size = transform.get_rows(), src_size = transform.get_cols();
+ int old_d = d;
+ create_rows(target_size);
+ for (int i = 0; i < target_size; i++)
+ {
+ for (int j = 0; j < src_size; j++)
+ {
+ row_addmul(old_d + i, src_base + j, transform(i, j));
+ }
+ }
+ row_op_begin(target_base, target_base + target_size);
+ for (int i = 0; i < target_size; i++)
+ {
+ row_swap(target_base + i, old_d + i);
+ }
+ row_op_end(target_base, target_base + target_size);
+ remove_last_rows(target_size);
+}
+
+template <class ZT, class FT> void MatGSO<ZT, FT>::size_increased()
+{
+ int old_d = mu.get_rows();
+
+ if (d > alloc_dim)
+ {
+ if (enable_int_gram)
+ g.resize(d, d);
+ else
+ {
+ bf.resize(d, b.get_cols());
+ gf.resize(d, d);
+ }
+ mu.resize(d, d);
+ r.resize(d, d);
+ gso_valid_cols.resize(d);
+ init_row_size.resize(d);
+ if (enable_row_expo)
+ {
+ row_expo.resize(d);
+ }
+ alloc_dim = d;
+ }
+
+ for (int i = old_d; i < d; i++)
+ {
+ init_row_size[i] = max(b[i].size_nz(), 1);
+ if (!enable_int_gram)
+ {
+ bf[i].fill(0); // update_bf might not copy all the zeros of b[i]
+ update_bf(i);
+ }
+ }
+}
+
+template <class ZT, class FT> double MatGSO<ZT, FT>::get_current_slope(int start_row, int stop_row)
+{
+ FT f, log_f;
+ long expo;
+ vector<double> x;
+ x.resize(stop_row);
+ for (int i = start_row; i < stop_row; i++)
+ {
+ update_gso_row(i);
+ f = get_r_exp(i, i, expo);
+ log_f.log(f, GMP_RNDU);
+ x[i] = log_f.get_d() + expo * std::log(2.0);
+ }
+ int n = stop_row - start_row;
+ double i_mean = (n - 1) * 0.5 + start_row, x_mean = 0, v1 = 0, v2 = 0;
+ for (int i = start_row; i < stop_row; i++)
+ {
+ x_mean += x[i];
+ }
+ x_mean /= n;
+ for (int i = start_row; i < stop_row; i++)
+ {
+ v1 += (i - i_mean) * (x[i] - x_mean);
+ v2 += (i - i_mean) * (i - i_mean);
+ }
+ return v1 / v2;
+}
+
+template <class ZT, class FT> FT MatGSO<ZT, FT>::get_root_det(int start_row, int end_row)
+{
+ start_row = max(0, start_row);
+ end_row = min(d, end_row);
+ FT h = (double)(end_row - start_row);
+ FT root_det = get_log_det(start_row, end_row) / h;
+ root_det.exponential(root_det);
+ return root_det;
+}
+
+template <class ZT, class FT> FT MatGSO<ZT, FT>::get_log_det(int start_row, int end_row)
+{
+ FT log_det = 0.0;
+ start_row = max(0, start_row);
+ end_row = min(d, end_row);
+ FT h;
+ for (int i = start_row; i < end_row; ++i)
+ {
+ get_r(h, i, i);
+ log_det += log(h);
+ }
+ return log_det;
+}
+
+template <class ZT, class FT>
+FT MatGSO<ZT, FT>::get_slide_potential(int start_row, int end_row, int block_size)
+{
+ FT potential = 0.0;
+ int p = (end_row - start_row) / block_size;
+ if ((end_row - start_row) % block_size == 0)
+ {
+ --p;
+ }
+ for (int i = 0; i < p; ++i)
+ {
+ potential += (p - i) * get_log_det(i * block_size, (i + 1) * block_size);
+ }
+ return potential;
+}
+
+template <class FT>
+void gaussian_heuristic(FT &max_dist, long max_dist_expo, int block_size, const FT &root_det,
+ double gh_factor)
+{
+ double t = (double)block_size / 2.0 + 1;
+ t = tgamma(t);
+ t = pow(t, 2.0 / (double)block_size);
+ t = t / M_PI;
+ FT f = t;
+ f = f * root_det;
+ f.mul_2si(f, -max_dist_expo);
+ f = f * gh_factor;
+ if (f < max_dist)
+ {
+ max_dist = f;
+ }
+}
+
+template class MatGSO<Z_NR<long>, FP_NR<double>>;
+template class MatGSO<Z_NR<double>, FP_NR<double>>;
+template class MatGSO<Z_NR<mpz_t>, FP_NR<double>>;
+template void gaussian_heuristic<FP_NR<double>>(FP_NR<double> &max_dist, long max_dist_expo,
+ int block_size, const FP_NR<double> &root_det,
+ double gh_factor);
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template class MatGSO<Z_NR<long>, FP_NR<long double>>;
+template class MatGSO<Z_NR<double>, FP_NR<long double>>;
+template class MatGSO<Z_NR<mpz_t>, FP_NR<long double>>;
+template void gaussian_heuristic<FP_NR<long double>>(FP_NR<long double> &max_dist,
+ long max_dist_expo, int block_size,
+ const FP_NR<long double> &root_det,
+ double gh_factor);
+
+#endif
+
+#ifdef FPLLL_WITH_QD
+template class MatGSO<Z_NR<long>, FP_NR<dd_real>>;
+template class MatGSO<Z_NR<double>, FP_NR<dd_real>>;
+template class MatGSO<Z_NR<mpz_t>, FP_NR<dd_real>>;
+template void gaussian_heuristic<FP_NR<dd_real>>(FP_NR<dd_real> &max_dist, long max_dist_expo,
+ int block_size, const FP_NR<dd_real> &root_det,
+ double gh_factor);
+template class MatGSO<Z_NR<long>, FP_NR<qd_real>>;
+template class MatGSO<Z_NR<double>, FP_NR<qd_real>>;
+template class MatGSO<Z_NR<mpz_t>, FP_NR<qd_real>>;
+template void gaussian_heuristic<FP_NR<qd_real>>(FP_NR<qd_real> &max_dist, long max_dist_expo,
+ int block_size, const FP_NR<qd_real> &root_det,
+ double gh_factor);
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template class MatGSO<Z_NR<long>, FP_NR<dpe_t>>;
+template class MatGSO<Z_NR<double>, FP_NR<dpe_t>>;
+template class MatGSO<Z_NR<mpz_t>, FP_NR<dpe_t>>;
+template void gaussian_heuristic<FP_NR<dpe_t>>(FP_NR<dpe_t> &max_dist, long max_dist_expo,
+ int block_size, const FP_NR<dpe_t> &root_det,
+ double gh_factor);
+#endif
+
+template class MatGSO<Z_NR<long>, FP_NR<mpfr_t>>;
+template class MatGSO<Z_NR<double>, FP_NR<mpfr_t>>;
+template class MatGSO<Z_NR<mpz_t>, FP_NR<mpfr_t>>;
+template void gaussian_heuristic<FP_NR<mpfr_t>>(FP_NR<mpfr_t> &max_dist, long max_dist_expo,
+ int block_size, const FP_NR<mpfr_t> &root_det,
+ double gh_factor);
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_GSO_H
+#define FPLLL_GSO_H
+
+#include "nr/matrix.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+enum MatGSOFlags
+{
+ GSO_DEFAULT = 0,
+ GSO_INT_GRAM = 1,
+ GSO_ROW_EXPO = 2,
+ GSO_OP_FORCE_LONG = 4
+};
+
+/**
+ @brief Use Gaussian Heuristic to compute a bound on the length of the
+ shortest vector
+
+ @param max_dist output
+ @param max_dist_expo exponent of output
+ @param block_size block size
+ @param root_det root determinant of lattice
+ @param gh_factor factor by which to multiple bound
+
+ @return new bound if `gh_factor * GH` is shorter than `max_dist`, otherwise `max_dist` is
+ unchanged.
+*/
+
+template <class FT>
+void gaussian_heuristic(FT &max_dist, long max_dist_expo, int block_size, const FT &root_det,
+ double gh_factor);
+
+/**
+ * MatGSO provides an interface for performing elementary operations on a basis
+ * and computing its Gram matrix and its Gram-Schmidt orthogonalization.
+ * The Gram-Schmidt coefficients are computed on demand. The object keeps track
+ * of which coefficients are valid after each row operation.
+ */
+template <class ZT, class FT> class MatGSO
+{
+public:
+ /**
+ * Constructor.
+ * The precision of FT must be defined before creating an instance of the
+ * class and must remain the same until the object is destroyed (or no longer
+ * needed).
+ * @param b
+ * The matrix on which row operations are performed. It must not be empty.
+ * @param u
+ * If u is not empty, operations on b are also done on u
+ * (in this case both must have the same number of rows).
+ * If u is initially the identity matrix, multiplying transform by the
+ * initial basis gives the current basis.
+ * @param u_inv_t
+ * Inverse transform (should be empty, which disables the computation, or
+ * initialized with identity matrix). It works only if u is not empty.
+ * @param enable_int_gram
+ * If true, coefficients of the Gram matrix are computed with exact integer
+ * arithmetic (type ZT). Otherwise, they are computed in floating-point
+ * (type FT). Note that when exact arithmetic is used, all coefficients of
+ * the first n_known_rows are continuously updated, whereas in floating-point,
+ * they are computed only on-demand. This option cannot be enabled if
+ * enable_row_expo=true.
+ * @param enable_row_expo
+ * If true, each row of b is normalized by a power of 2 before doing
+ * conversion to floating-point, which hopefully avoids some overflows.
+ * This option cannot be enabled if enable_int_gram=true and works only
+ * with FT=double and FT=long double. It is useless and MUST NOT be used
+ * for FT=dpe or FT=mpfr_t.
+ * @param row_op_force_long
+ * Affects the behaviour of row_addmul(_we).
+ * See the documentation of row_addmul.
+ */
+ //~ MatGSO(Matrix<ZT>& b, Matrix<ZT>& u, Matrix<ZT>& u_inv_t, int flags);
+ MatGSO(Matrix<ZT> &arg_b, Matrix<ZT> &arg_u, Matrix<ZT> &arg_uinv_t, int flags)
+ : b(arg_b), enable_int_gram(flags & GSO_INT_GRAM), enable_row_expo(flags & GSO_ROW_EXPO),
+ enable_transform(arg_u.get_rows() > 0), enable_inverse_transform(arg_uinv_t.get_rows() > 0),
+ row_op_force_long(flags & GSO_OP_FORCE_LONG), u(arg_u), u_inv_t(arg_uinv_t),
+ n_known_rows(0), n_source_rows(0), n_known_cols(0), cols_locked(false), alloc_dim(0)
+ {
+ FPLLL_DEBUG_CHECK(!(enable_int_gram && enable_row_expo));
+ d = b.get_rows();
+ if (enable_row_expo)
+ {
+ tmp_col_expo.resize(b.get_cols());
+ }
+ size_increased();
+#ifdef DEBUG
+ row_op_first = row_op_last = -1;
+#endif
+ }
+
+ /**
+ * Number of rows of b (dimension of the lattice).
+ * Can be changed with create_row or remove_last_row.
+ */
+ int d;
+
+ /**
+ * Basis of the lattice
+ */
+ Matrix<ZT> &b;
+
+ /**
+ * When enable_row_expo=true, row_expo[i] is the smallest non-negative integer
+ * such that b(i, j) <= 2^row_expo[i] for all j. Otherwise this array is empty.
+ */
+ vector<long> row_expo;
+
+ /**
+ * Must be called before a sequence of row_addmul(_we).
+ */
+ inline void row_op_begin(int first, int last);
+
+ /**
+ * Must be called after a sequence of row_addmul(_we). This invalidates the
+ * i-th line of the GSO.
+ */
+ void row_op_end(int first, int last);
+
+ /**
+ * Returns Gram matrix coefficients (0 <= i < n_known_rows and
+ * 0 <= j <= i).
+ * If enable_row_expo=false, returns the dot product (b[i], b[j]).
+ * If enable_row_expo=true, returns
+ * (b[i], b[j]) / 2 ^ (row_expo[i] + row_expo[j]).
+ *
+ * Returns reference to `f`.
+ */
+ inline FT &get_gram(FT &f, int i, int j);
+
+ /**
+ * Returns the mu matrix
+ * Coefficients of the Gram Schmidt Orthogonalization
+ * (lower triangular matrix)
+ * mu(i, j) = r(i, j) / ||b*_j||^2.
+ */
+ const Matrix<FT> &get_mu_matrix() { return mu; }
+
+ /**
+ * Returns the r matrix
+ * Coefficients of the Gram Schmidt Orthogonalization
+ * (lower triangular matrix)
+ */
+ const Matrix<FT> &get_r_matrix() { return r; }
+
+ /**
+ * Returns the g matrix (Z_NR version of r)
+ * Coefficients of the Gram Schmidt Orthogonalization
+ * (lower triangular matrix)
+ */
+ const Matrix<ZT> &get_g_matrix() { return g; }
+
+ /**
+ * Returns f = mu(i, j) and expo such that
+ * f * 2^expo = (b_i, b*_j) / ||b*_j||^2.
+ * If enable_row_expo=false, expo is always 0.
+ * If enable_row_expo=true, expo = row_expo[i] - row_expo[j]
+ * It is assumed that mu(i, j) is valid.
+ * The returned value is a reference to the coefficient of the internal
+ * matrix, which may change if the matrix is modified.
+ */
+ inline const FT &get_mu_exp(int i, int j, long &expo);
+ inline const FT &get_mu_exp(int i, int j);
+
+ /**
+ * Returns f = (b_i, b*_j) / ||b*_j||^2.
+ *
+ * Returns reference to `f`.
+ */
+ inline FT &get_mu(FT &f, int i, int j);
+
+ /**
+ * Return maximum bstar_i for all i
+ */
+ ZT get_max_gram();
+
+ /**
+ * Return maximum bstar_i for all i
+ */
+ FT get_max_bstar();
+
+ /**
+ * Returns f = r(i, j) and expo such that (b_i, b*_j) = f * 2^expo.
+ * If enable_row_expo=false, expo is always 0.
+ * If enable_row_expo=true, expo = row_expo[i] + row_expo[j]
+ * If is assumed that r(i, j) is valid.
+ * The returned value is a reference to the coefficient of the internal
+ * matrix, which may change if the matrix is modified
+ */
+ inline const FT &get_r_exp(int i, int j, long &expo);
+ inline const FT &get_r_exp(int i, int j);
+
+ /**
+ * Returns f = (b_i, b*_j).
+ *
+ * Returns reference to `f`.
+ */
+ inline FT &get_r(FT &f, int i, int j);
+
+ /**
+ * Returns expo such that mu(i, j) < 2^expo for all j < n_columns.
+ * It is assumed that mu(i, j) is valid for all j < n_columns.
+ */
+ long get_max_mu_exp(int i, int n_columns);
+
+ /**
+ * Updates r(i, j) and mu(i, j) if needed for all j in [0, last_j].
+ * All coefficients of r and mu above the i-th row in columns
+ * [0, min(last_j, i - 1)] must be valid.
+ * If i=n_known_rows, n_known_rows is increased by one.
+ */
+ bool update_gso_row(int i, int last_j);
+
+ /**
+ * Updates r(i, j) and mu(i, j) if needed for all j.
+ * All coefficients of r and mu above the i-th row in columns
+ * [0, min(last_j, i - 1)] must be valid.
+ * If i=n_known_rows, n_known_rows is increased by one.
+ */
+ inline bool update_gso_row(int i);
+
+ /**
+ * Updates all GSO coefficients (mu and r).
+ */
+ inline bool update_gso();
+
+ /**
+ * Allows row_addmul(_we) for all rows even if the GSO has never been computed.
+ */
+ inline void discover_all_rows();
+
+ /**
+ * Sets the value of r(i, j). During the execution of LLL, some coefficients
+ * are computed by the algorithm. They are set directly to avoid double
+ * computation.
+ */
+ void set_r(int i, int j, FT &f);
+
+ /**
+ * Row old_r becomes row new_r and intermediate rows are shifted.
+ * If new_r < old_r, then old_r must be < n_known_rows.
+ */
+ void move_row(int old_r, int new_r);
+
+ /**
+ * b[i] := b[i] + x * b[j].
+ * After one or several calls to row_addmul, row_op_end must be called.
+ * Special cases |x| <= 1 and |x| <= LONG_MAX are optimized.
+ * x should be an integer.
+ * If row_op_force_long=true, x is always converted to (2^expo * long) instead
+ * of (2^expo * ZT), which is faster if ZT=mpz_t but might lead to a loss of
+ * precision (in LLL, more Babai iterations are needed).
+ */
+ inline void row_addmul(int i, int j, const FT &x);
+
+ /**
+ * b[i] := b[i] + x * 2^expo_add * b[j].
+ * After one or several calls to row_addmul_we, row_op_end must be called.
+ * Special cases |x| <= 1 and |x| <= LONG_MAX are optimized.
+ * x should be an integer.
+ * If row_op_force_long=true, x is always converted to (2^expo * long) instead
+ * of (2^expo * ZT), which is faster if ZT=mpz_t but might lead to a loss of
+ * precision (in LLL, more Babai iterations are needed).
+ */
+ void row_addmul_we(int i, int j, const FT &x, long expo_add);
+
+ // b[i] += b[j] / b[i] -= b[j] (i > j)
+ void row_add(int i, int j);
+ void row_sub(int i, int j);
+
+ /**
+ * Early reduction
+ * Allowed when enable_int_gram=false,
+ * n_known_cols large enough to compute all the g(i,j)
+ */
+ void lock_cols();
+ void unlock_cols();
+
+ /**
+ * Adds a zero row to b (and to u if enableTranform=true). One or several
+ * operations can be performed on this row with row_addmul(_we), then
+ * row_op_end must be called.
+ * Do not use if enable_inverse_transform=true.
+ */
+ inline void create_row();
+ inline void create_rows(int n_new_rows);
+
+ /**
+ * Removes the last row of b (and of u if enable_transform=true).
+ * Do not use if enable_inverse_transform=true.
+ */
+ inline void remove_last_row();
+ inline void remove_last_rows(int n_removed_rows);
+
+ /**
+ * Executes transformation by creating extra rows,
+ * Calculating new entries, swapping the new rows with previous ones,
+ * And then removing the excess rows
+ */
+ void apply_transform(const Matrix<FT> &transform, int src_base, int target_base);
+
+ void apply_transform(const Matrix<FT> &transform, int src_base)
+ {
+ apply_transform(transform, src_base, src_base);
+ }
+
+ /**
+ * Dump mu matrix to parameter `mu`.
+
+ * When a double pointer is provided the caller must ensure it can hold
+ * block_size^2 entries. When a vector is provided new entries are pushed to
+ * the end. In particular, existing entries are not overwritten or cleared.
+ *
+ * @note No row discovery or update is performed prior to dumping the matrix.
+ */
+
+ inline void dump_mu_d(double *mu, int offset = 0, int block_size = -1);
+ inline void dump_mu_d(vector<double> mu, int offset = 0, int block_size = -1);
+
+ /**
+ * Dump r vector to parameter `r`.
+
+ * When a double pointer is provided the caller must ensure it can hold
+ * block_size entries. When a vector is provided new entries are pushed to the
+ * end. In particular, existing entries are not overwritten or cleared.
+ *
+ * @note No row discovery or update is performed prior to dumping the matrix.
+ */
+
+ inline void dump_r_d(double *r, int offset = 0, int block_size = -1);
+ inline void dump_r_d(vector<double> r, int offset = 0, int block_size = -1);
+
+ /**
+ @brief Return slope of the curve fitted to the lengths of the vectors from
+ `start_row` to `stop_row`.
+
+ The slope gives an indication of the quality of the basis.
+
+ @param start_row start row (inclusive)
+ @param stop_row stop row (exclusive)
+ @return
+ */
+
+ double get_current_slope(int start_row, int stop_row);
+
+ /**
+ @brief Return (squared) root determinant of the basis.
+
+ @param start_row start row (inclusive)
+ @param end_row stop row (exclusive)
+ */
+
+ FT get_root_det(int start_row, int end_row);
+
+ /**
+ @brief Return log of the (squared) determinant of the basis.
+
+ @param start_row start row (inclusive)
+ @param end_row stop row (exclusive)
+ */
+
+ FT get_log_det(int start_row, int end_row);
+
+ /**
+ @brief Return slide potential of the basis
+
+ @param start_row start row (inclusive)
+ @param end_row stop row (exclusive)
+ @param block_size block size
+ */
+
+ FT get_slide_potential(int start_row, int end_row, int block_size);
+
+ /** Exact computation of dot products (i.e. with type ZT instead of FT) */
+ const bool enable_int_gram;
+
+ /** Normalization of each row of b by a power of 2. */
+ const bool enable_row_expo;
+
+ /** Computation of the transform matrix. */
+ const bool enable_transform;
+
+ /**
+ * Computation of the inverse transform matrix (transposed).
+ * This works only if enable_transform=true.
+ * This matrix has very large coefficients, computing it is slow.
+ */
+ const bool enable_inverse_transform;
+
+ /**
+ * Changes the behaviour of row_addmul(_we).
+ * See the description of row_addmul.
+ */
+ const bool row_op_force_long;
+
+private:
+ /* Allocates matrices and arrays whose size depends on d (all but tmp_col_expo).
+ When enable_int_gram=false, initializes bf. */
+ void size_increased();
+
+ void discover_row();
+
+ // Marks mu(i, j) and r(i, j) as invalid for j >= new_valid_cols
+ inline void invalidate_gso_row(int i, int new_valid_cols = 0);
+ /* Upates the i-th row of bf. It does not invalidate anything, so the caller
+ must take into account that it might change row_expo. */
+ void update_bf(int i);
+ /* Marks g(i, j) for all j <= i (but NOT for j > i) */
+ void invalidate_gram_row(int i);
+
+ // b[i] <- b[i] + x * b[j] (i > j)
+ void row_addmul_si(int i, int j, long x);
+ // b[i] <- b[i] + (2^expo * x) * b[j] (i > j)
+ void row_addmul_si_2exp(int i, int j, long x, long expo);
+ void row_addmul_2exp(int i, int j, const ZT &x, long expo);
+ // b[i] <-> b[j] (i < j)
+ void row_swap(int i, int j);
+
+ inline ZT &sym_g(int i, int j) { return (i >= j) ? g(i, j) : g(j, i); }
+
+ /* Floating-point representation of the basis. It is used when
+ enable_int_gram=true. */
+ Matrix<FT> bf;
+
+ Matrix<ZT> &u; // Transform
+ Matrix<ZT> &u_inv_t; // Transposed inverse transform
+
+ // init_row_size[i] = (last non-zero column in the i-th row of b) + 1
+ vector<int> init_row_size;
+
+ // bf[i], g[i], gf[i], mu[i] and r[i] are invalid for i >= n_known_rows
+ int n_known_rows;
+ int n_source_rows; // Known rows before the beginning of early reduction
+ int n_known_cols;
+ bool cols_locked;
+ int alloc_dim;
+
+ /**
+ * Coefficients of the Gram-Schmidt orthogonalization
+ * (lower triangular matrix).
+ *
+ * If enable_row_expo=false,
+ * mu(i, j) = (b_i, b*_j) / ||b*_j||^2.
+ * If enable_row_expo=true,
+ * mu(i, j) = (b_i, b*_j) / ||b*_j||^2 / 2 ^ (row_expo[i] - row_expo[j]).
+ *
+ * mu(i, j) is valid if 0 <= i < n_known_rows (<= d) and
+ * 0 <= j < min(gso_valid_cols[i], i)
+ */
+ Matrix<FT> mu;
+
+ /**
+ * Coefficients of the Gram-Schmidt orthogonalization
+ * (lower triangular matrix).
+ *
+ * If enable_row_expo=false,
+ * r(i, j) = (b_i, b*_j).
+ * If enable_row_expo=true,
+ * r(i, j) = (b_i, b*_j) / 2 ^ (row_expo[i] + row_expo[j]).
+ *
+ * r(i, j) is valid if 0 <= i < n_known_rows (<= d) and
+ * 0 <= j < gso_valid_cols[i] (<= i + 1).
+ */
+ Matrix<FT> r;
+
+ /* Gram matrix (dot products of basis vectors, lower triangular matrix)
+ g(i, j) is valid if 0 <= i < n_known_rows and j <= i */
+ Matrix<ZT> g;
+ Matrix<FT> gf;
+
+ /* Number of valid columns of the i-th row of mu and r.
+ Valid only for 0 <= i < n_known_rows */
+ vector<int> gso_valid_cols;
+
+ /* Used by update_gso_row (+ update_gso), get_max_mu_exp and row_addmul_we. */
+ FT ftmp1, ftmp2;
+ /* Used by row_add, row_sub, row_addmul_si_2exp, row_addmul_2exp and
+ indirectly by row_addmul. */
+ ZT ztmp1;
+ /* Used by row_addmul. */
+ ZT ztmp2;
+ /* Used by update_bf. */
+ vector<long> tmp_col_expo;
+
+#ifdef DEBUG
+ /* Used only in debug mode. */
+ int row_op_first, row_op_last;
+ bool in_row_op_range(int i) { return i >= row_op_first && i < row_op_last; }
+#endif
+};
+
+template <class ZT, class FT> inline FT &MatGSO<ZT, FT>::get_gram(FT &f, int i, int j)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && j >= 0 && j <= i && j < n_source_rows &&
+ !in_row_op_range(i));
+ if (enable_int_gram)
+ f.set_z(g(i, j));
+ else
+ {
+ if (gf(i, j).is_nan())
+ {
+ dot_product(gf(i, j), bf[i], bf[j], n_known_cols);
+ }
+ f = gf(i, j);
+ }
+ return f;
+}
+
+template <class ZT, class FT> inline const FT &MatGSO<ZT, FT>::get_mu_exp(int i, int j, long &expo)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && j >= 0 && j < i && j < gso_valid_cols[i] &&
+ !in_row_op_range(i));
+ if (enable_row_expo)
+ expo = row_expo[i] - row_expo[j];
+ else
+ expo = 0;
+ return mu(i, j);
+}
+
+template <class ZT, class FT> inline const FT &MatGSO<ZT, FT>::get_mu_exp(int i, int j)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && j >= 0 && j < i && j < gso_valid_cols[i] &&
+ !in_row_op_range(i));
+ return mu(i, j);
+}
+
+template <class ZT, class FT> inline FT &MatGSO<ZT, FT>::get_mu(FT &f, int i, int j)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && j >= 0 && j < i && j < gso_valid_cols[i] &&
+ !in_row_op_range(i));
+ f = mu(i, j);
+ if (enable_row_expo)
+ f.mul_2si(f, row_expo[i] - row_expo[j]);
+ return f;
+}
+
+template <class ZT, class FT> inline const FT &MatGSO<ZT, FT>::get_r_exp(int i, int j, long &expo)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && j >= 0 && j < gso_valid_cols[i] &&
+ !in_row_op_range(i));
+ if (enable_row_expo)
+ expo = row_expo[i] + row_expo[j];
+ else
+ expo = 0;
+ return r(i, j);
+}
+
+template <class ZT, class FT> inline const FT &MatGSO<ZT, FT>::get_r_exp(int i, int j)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && j >= 0 && j < gso_valid_cols[i] &&
+ !in_row_op_range(i));
+ return r(i, j);
+}
+
+template <class ZT, class FT> inline FT &MatGSO<ZT, FT>::get_r(FT &f, int i, int j)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && j >= 0 && j < gso_valid_cols[i] &&
+ !in_row_op_range(i));
+ f = r(i, j);
+ if (enable_row_expo)
+ f.mul_2si(f, row_expo[i] + row_expo[j]);
+ return f;
+}
+
+template <class ZT, class FT> inline bool MatGSO<ZT, FT>::update_gso_row(int i)
+{
+ return update_gso_row(i, i);
+}
+
+template <class ZT, class FT> inline void MatGSO<ZT, FT>::set_r(int i, int j, FT &f)
+{
+ FPLLL_DEBUG_CHECK(i >= 0 && i < n_known_rows && gso_valid_cols[i] >= j && j >= 0 &&
+ j < n_source_rows);
+ r(i, j) = f;
+ if (gso_valid_cols[i] == j)
+ gso_valid_cols[i]++;
+}
+
+template <class ZT, class FT> inline void MatGSO<ZT, FT>::row_addmul(int i, int j, const FT &x)
+{
+ row_addmul_we(i, j, x, 0);
+}
+
+template <class ZT, class FT> inline void MatGSO<ZT, FT>::create_row() { create_rows(1); }
+
+template <class ZT, class FT> inline void MatGSO<ZT, FT>::remove_last_row() { remove_last_rows(1); }
+
+template <class ZT, class FT> inline void MatGSO<ZT, FT>::create_rows(int n_new_rows)
+{
+ FPLLL_DEBUG_CHECK(!cols_locked);
+ int old_d = d;
+ d += n_new_rows;
+ b.set_rows(d);
+ for (int i = old_d; i < d; i++)
+ {
+ for (int j = 0; j < b.get_cols(); j++)
+ {
+ b[i][j] = 0;
+ }
+ }
+ if (enable_transform)
+ {
+ u.set_rows(d);
+ for (int i = old_d; i < d; i++)
+ for (int j = 0; j < u.get_cols(); j++)
+ u[i][j] = 0;
+ }
+ size_increased();
+ if (n_known_rows == old_d)
+ discover_all_rows();
+}
+
+template <class ZT, class FT> inline void MatGSO<ZT, FT>::remove_last_rows(int n_removed_rows)
+{
+ FPLLL_DEBUG_CHECK(!cols_locked && d >= n_removed_rows);
+ d -= n_removed_rows;
+ n_known_rows = min(n_known_rows, d);
+ n_source_rows = n_known_rows;
+ b.set_rows(d);
+ if (enable_transform)
+ u.set_rows(d);
+}
+
+template <class ZT, class FT> inline void MatGSO<ZT, FT>::discover_all_rows()
+{
+ while (n_known_rows < d)
+ discover_row();
+}
+
+template <class ZT, class FT> inline bool MatGSO<ZT, FT>::update_gso()
+{
+ for (int i = 0; i < d; i++)
+ {
+ if (!update_gso_row(i))
+ return false;
+ }
+ return true;
+}
+
+#ifdef DEBUG
+template <class ZT, class FT> inline void MatGSO<ZT, FT>::row_op_begin(int first, int last)
+{
+ FPLLL_DEBUG_CHECK(row_op_first == -1);
+ row_op_first = first;
+ row_op_last = last;
+}
+#else
+template <class ZT, class FT> inline void MatGSO<ZT, FT>::row_op_begin(int /*first*/, int /*last*/) { }
+#endif
+
+
+template <class ZT, class FT>
+inline void MatGSO<ZT, FT>::dump_mu_d(double *mu, int offset, int block_size)
+{
+ FT e;
+ if (block_size <= 0)
+ {
+ block_size = b.get_rows();
+ }
+
+ for (int i = 0; i < block_size; ++i)
+ {
+ for (int j = 0; j < block_size; ++j)
+ {
+ get_mu(e, offset + i, offset + j);
+ mu[i * block_size + j] = e.get_d();
+ }
+ }
+}
+
+template <class ZT, class FT>
+inline void MatGSO<ZT, FT>::dump_mu_d(vector<double> mu, int offset, int block_size)
+{
+ FT e;
+ if (block_size <= 0)
+ {
+ block_size = b.get_rows();
+ }
+
+ mu.reserve(mu.size() + block_size * block_size);
+ for (int i = 0; i < block_size; ++i)
+ {
+ for (int j = 0; j < block_size; ++j)
+ {
+ get_mu(e, offset + i, offset + j);
+ mu.push_back(e.get_d());
+ }
+ }
+}
+
+template <class ZT, class FT>
+inline void MatGSO<ZT, FT>::dump_r_d(double *r, int offset, int block_size)
+{
+ FT e;
+ if (block_size <= 0)
+ {
+ block_size = b.get_rows();
+ }
+
+ for (int i = 0; i < block_size; ++i)
+ {
+ get_r(e, offset + i, offset + i);
+ r[i] = e.get_d();
+ }
+}
+
+template <class ZT, class FT>
+inline void MatGSO<ZT, FT>::dump_r_d(vector<double> r, int offset, int block_size)
+{
+ FT e;
+ if (block_size <= 0)
+ {
+ block_size = b.get_rows();
+ }
+
+ r.reserve(r.size() + block_size * block_size);
+ for (int i = 0; i < block_size; ++i)
+ {
+ get_r(e, offset + i, offset + i);
+ r.push_back(e.get_d());
+ }
+}
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/*
+ __ _____ _____ _____
+ __| | __| | | | JSON for Modern C++
+| | |__ | | | | | | version 2.0.3
+|_____|_____|_____|_|___| https://github.com/nlohmann/json
+
+Licensed under the MIT License <http://opensource.org/licenses/MIT>.
+Copyright (c) 2013-2016 Niels Lohmann <http://nlohmann.me>.
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+*/
+
+#ifndef NLOHMANN_JSON_HPP
+#define NLOHMANN_JSON_HPP
+
+#include <algorithm>
+#include <array>
+#include <cassert>
+#include <ciso646>
+#include <cmath>
+#include <cstddef>
+#include <cstdint>
+#include <cstdlib>
+#include <cstring>
+#include <functional>
+#include <initializer_list>
+#include <iomanip>
+#include <iostream>
+#include <iterator>
+#include <limits>
+#include <locale>
+#include <map>
+#include <memory>
+#include <numeric>
+#include <sstream>
+#include <stdexcept>
+#include <string>
+#include <type_traits>
+#include <utility>
+#include <vector>
+
+// exclude unsupported compilers
+#if defined(__clang__)
+ #define CLANG_VERSION (__clang_major__ * 10000 + __clang_minor__ * 100 + __clang_patchlevel__)
+ #if CLANG_VERSION < 30400
+ #error "unsupported Clang version - see https://github.com/nlohmann/json#supported-compilers"
+ #endif
+#elif defined(__GNUC__)
+ #define GCC_VERSION (__GNUC__ * 10000 + __GNUC_MINOR__ * 100 + __GNUC_PATCHLEVEL__)
+ #if GCC_VERSION < 40800
+ #error "unsupported GCC version - see https://github.com/nlohmann/json#supported-compilers"
+ #endif
+#endif
+
+// disable float-equal warnings on GCC/clang
+#if defined(__clang__) || defined(__GNUC__) || defined(__GNUG__)
+ #pragma GCC diagnostic push
+ #pragma GCC diagnostic ignored "-Wfloat-equal"
+#endif
+
+// allow for portable deprecation warnings
+#if defined(__clang__) || defined(__GNUC__) || defined(__GNUG__)
+ #define JSON_DEPRECATED __attribute__((deprecated))
+#elif defined(_MSC_VER)
+ #define JSON_DEPRECATED __declspec(deprecated)
+#else
+ #define JSON_DEPRECATED
+#endif
+
+/*!
+@brief namespace for Niels Lohmann
+@see https://github.com/nlohmann
+@since version 1.0.0
+*/
+namespace nlohmann
+{
+
+
+/*!
+@brief unnamed namespace with internal helper functions
+@since version 1.0.0
+*/
+namespace
+{
+/*!
+@brief Helper to determine whether there's a key_type for T.
+
+Thus helper is used to tell associative containers apart from other containers
+such as sequence containers. For instance, `std::map` passes the test as it
+contains a `mapped_type`, whereas `std::vector` fails the test.
+
+@sa http://stackoverflow.com/a/7728728/266378
+@since version 1.0.0
+*/
+template<typename T>
+struct has_mapped_type
+{
+ private:
+ template<typename C> static char test(typename C::mapped_type*);
+ template<typename C> static char (&test(...))[2];
+ public:
+ static constexpr bool value = sizeof(test<T>(0)) == 1;
+};
+
+/*!
+@brief helper class to create locales with decimal point
+
+This struct is used a default locale during the JSON serialization. JSON
+requires the decimal point to be `.`, so this function overloads the
+`do_decimal_point()` function to return `.`. This function is called by
+float-to-string conversions to retrieve the decimal separator between integer
+and fractional parts.
+
+@sa https://github.com/nlohmann/json/issues/51#issuecomment-86869315
+@since version 2.0.0
+*/
+struct DecimalSeparator : std::numpunct<char>
+{
+ char do_decimal_point() const
+ {
+ return '.';
+ }
+};
+
+}
+
+/*!
+@brief a class to store JSON values
+
+@tparam ObjectType type for JSON objects (`std::map` by default; will be used
+in @ref object_t)
+@tparam ArrayType type for JSON arrays (`std::vector` by default; will be used
+in @ref array_t)
+@tparam StringType type for JSON strings and object keys (`std::string` by
+default; will be used in @ref string_t)
+@tparam BooleanType type for JSON booleans (`bool` by default; will be used
+in @ref boolean_t)
+@tparam NumberIntegerType type for JSON integer numbers (`int64_t` by
+default; will be used in @ref number_integer_t)
+@tparam NumberUnsignedType type for JSON unsigned integer numbers (@c
+`uint64_t` by default; will be used in @ref number_unsigned_t)
+@tparam NumberFloatType type for JSON floating-point numbers (`double` by
+default; will be used in @ref number_float_t)
+@tparam AllocatorType type of the allocator to use (`std::allocator` by
+default)
+
+@requirement The class satisfies the following concept requirements:
+- Basic
+ - [DefaultConstructible](http://en.cppreference.com/w/cpp/concept/DefaultConstructible):
+ JSON values can be default constructed. The result will be a JSON null value.
+ - [MoveConstructible](http://en.cppreference.com/w/cpp/concept/MoveConstructible):
+ A JSON value can be constructed from an rvalue argument.
+ - [CopyConstructible](http://en.cppreference.com/w/cpp/concept/CopyConstructible):
+ A JSON value can be copy-constructed from an lvalue expression.
+ - [MoveAssignable](http://en.cppreference.com/w/cpp/concept/MoveAssignable):
+ A JSON value van be assigned from an rvalue argument.
+ - [CopyAssignable](http://en.cppreference.com/w/cpp/concept/CopyAssignable):
+ A JSON value can be copy-assigned from an lvalue expression.
+ - [Destructible](http://en.cppreference.com/w/cpp/concept/Destructible):
+ JSON values can be destructed.
+- Layout
+ - [StandardLayoutType](http://en.cppreference.com/w/cpp/concept/StandardLayoutType):
+ JSON values have
+ [standard layout](http://en.cppreference.com/w/cpp/language/data_members#Standard_layout):
+ All non-static data members are private and standard layout types, the class
+ has no virtual functions or (virtual) base classes.
+- Library-wide
+ - [EqualityComparable](http://en.cppreference.com/w/cpp/concept/EqualityComparable):
+ JSON values can be compared with `==`, see @ref
+ operator==(const_reference,const_reference).
+ - [LessThanComparable](http://en.cppreference.com/w/cpp/concept/LessThanComparable):
+ JSON values can be compared with `<`, see @ref
+ operator<(const_reference,const_reference).
+ - [Swappable](http://en.cppreference.com/w/cpp/concept/Swappable):
+ Any JSON lvalue or rvalue of can be swapped with any lvalue or rvalue of
+ other compatible types, using unqualified function call @ref swap().
+ - [NullablePointer](http://en.cppreference.com/w/cpp/concept/NullablePointer):
+ JSON values can be compared against `std::nullptr_t` objects which are used
+ to model the `null` value.
+- Container
+ - [Container](http://en.cppreference.com/w/cpp/concept/Container):
+ JSON values can be used like STL containers and provide iterator access.
+ - [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer);
+ JSON values can be used like STL containers and provide reverse iterator
+ access.
+
+@invariant The member variables @a m_value and @a m_type have the following
+relationship:
+- If `m_type == value_t::object`, then `m_value.object != nullptr`.
+- If `m_type == value_t::array`, then `m_value.array != nullptr`.
+- If `m_type == value_t::string`, then `m_value.string != nullptr`.
+The invariants are checked by member function assert_invariant().
+
+@internal
+@note ObjectType trick from http://stackoverflow.com/a/9860911
+@endinternal
+
+@see [RFC 7159: The JavaScript Object Notation (JSON) Data Interchange
+Format](http://rfc7159.net/rfc7159)
+
+@since version 1.0.0
+
+@nosubgrouping
+*/
+template <
+ template<typename U, typename V, typename... Args> class ObjectType = std::map,
+ template<typename U, typename... Args> class ArrayType = std::vector,
+ class StringType = std::string,
+ class BooleanType = bool,
+ class NumberIntegerType = std::int64_t,
+ class NumberUnsignedType = std::uint64_t,
+ class NumberFloatType = double,
+ template<typename U> class AllocatorType = std::allocator
+ >
+class basic_json
+{
+ private:
+ /// workaround type for MSVC
+ using basic_json_t = basic_json<ObjectType, ArrayType, StringType,
+ BooleanType, NumberIntegerType, NumberUnsignedType, NumberFloatType,
+ AllocatorType>;
+
+ public:
+ // forward declarations
+ template<typename Base> class json_reverse_iterator;
+ class json_pointer;
+
+ /////////////////////
+ // container types //
+ /////////////////////
+
+ /// @name container types
+ /// The canonic container types to use @ref basic_json like any other STL
+ /// container.
+ /// @{
+
+ /// the type of elements in a basic_json container
+ using value_type = basic_json;
+
+ /// the type of an element reference
+ using reference = value_type&;
+ /// the type of an element const reference
+ using const_reference = const value_type&;
+
+ /// a type to represent differences between iterators
+ using difference_type = std::ptrdiff_t;
+ /// a type to represent container sizes
+ using size_type = std::size_t;
+
+ /// the allocator type
+ using allocator_type = AllocatorType<basic_json>;
+
+ /// the type of an element pointer
+ using pointer = typename std::allocator_traits<allocator_type>::pointer;
+ /// the type of an element const pointer
+ using const_pointer = typename std::allocator_traits<allocator_type>::const_pointer;
+
+ /// an iterator for a basic_json container
+ class iterator;
+ /// a const iterator for a basic_json container
+ class const_iterator;
+ /// a reverse iterator for a basic_json container
+ using reverse_iterator = json_reverse_iterator<typename basic_json::iterator>;
+ /// a const reverse iterator for a basic_json container
+ using const_reverse_iterator = json_reverse_iterator<typename basic_json::const_iterator>;
+
+ /// @}
+
+
+ /*!
+ @brief returns the allocator associated with the container
+ */
+ static allocator_type get_allocator()
+ {
+ return allocator_type();
+ }
+
+
+ ///////////////////////////
+ // JSON value data types //
+ ///////////////////////////
+
+ /// @name JSON value data types
+ /// The data types to store a JSON value. These types are derived from
+ /// the template arguments passed to class @ref basic_json.
+ /// @{
+
+ /*!
+ @brief a type for an object
+
+ [RFC 7159](http://rfc7159.net/rfc7159) describes JSON objects as follows:
+ > An object is an unordered collection of zero or more name/value pairs,
+ > where a name is a string and a value is a string, number, boolean, null,
+ > object, or array.
+
+ To store objects in C++, a type is defined by the template parameters
+ described below.
+
+ @tparam ObjectType the container to store objects (e.g., `std::map` or
+ `std::unordered_map`)
+ @tparam StringType the type of the keys or names (e.g., `std::string`).
+ The comparison function `std::less<StringType>` is used to order elements
+ inside the container.
+ @tparam AllocatorType the allocator to use for objects (e.g.,
+ `std::allocator`)
+
+ #### Default type
+
+ With the default values for @a ObjectType (`std::map`), @a StringType
+ (`std::string`), and @a AllocatorType (`std::allocator`), the default
+ value for @a object_t is:
+
+ @code {.cpp}
+ std::map<
+ std::string, // key_type
+ basic_json, // value_type
+ std::less<std::string>, // key_compare
+ std::allocator<std::pair<const std::string, basic_json>> // allocator_type
+ >
+ @endcode
+
+ #### Behavior
+
+ The choice of @a object_t influences the behavior of the JSON class. With
+ the default type, objects have the following behavior:
+
+ - When all names are unique, objects will be interoperable in the sense
+ that all software implementations receiving that object will agree on
+ the name-value mappings.
+ - When the names within an object are not unique, later stored name/value
+ pairs overwrite previously stored name/value pairs, leaving the used
+ names unique. For instance, `{"key": 1}` and `{"key": 2, "key": 1}` will
+ be treated as equal and both stored as `{"key": 1}`.
+ - Internally, name/value pairs are stored in lexicographical order of the
+ names. Objects will also be serialized (see @ref dump) in this order.
+ For instance, `{"b": 1, "a": 2}` and `{"a": 2, "b": 1}` will be stored
+ and serialized as `{"a": 2, "b": 1}`.
+ - When comparing objects, the order of the name/value pairs is irrelevant.
+ This makes objects interoperable in the sense that they will not be
+ affected by these differences. For instance, `{"b": 1, "a": 2}` and
+ `{"a": 2, "b": 1}` will be treated as equal.
+
+ #### Limits
+
+ [RFC 7159](http://rfc7159.net/rfc7159) specifies:
+ > An implementation may set limits on the maximum depth of nesting.
+
+ In this class, the object's limit of nesting is not constraint explicitly.
+ However, a maximum depth of nesting may be introduced by the compiler or
+ runtime environment. A theoretical limit can be queried by calling the
+ @ref max_size function of a JSON object.
+
+ #### Storage
+
+ Objects are stored as pointers in a @ref basic_json type. That is, for any
+ access to object values, a pointer of type `object_t*` must be
+ dereferenced.
+
+ @sa @ref array_t -- type for an array value
+
+ @since version 1.0.0
+
+ @note The order name/value pairs are added to the object is *not*
+ preserved by the library. Therefore, iterating an object may return
+ name/value pairs in a different order than they were originally stored. In
+ fact, keys will be traversed in alphabetical order as `std::map` with
+ `std::less` is used by default. Please note this behavior conforms to [RFC
+ 7159](http://rfc7159.net/rfc7159), because any order implements the
+ specified "unordered" nature of JSON objects.
+ */
+ using object_t = ObjectType<StringType,
+ basic_json,
+ std::less<StringType>,
+ AllocatorType<std::pair<const StringType,
+ basic_json>>>;
+
+ /*!
+ @brief a type for an array
+
+ [RFC 7159](http://rfc7159.net/rfc7159) describes JSON arrays as follows:
+ > An array is an ordered sequence of zero or more values.
+
+ To store objects in C++, a type is defined by the template parameters
+ explained below.
+
+ @tparam ArrayType container type to store arrays (e.g., `std::vector` or
+ `std::list`)
+ @tparam AllocatorType allocator to use for arrays (e.g., `std::allocator`)
+
+ #### Default type
+
+ With the default values for @a ArrayType (`std::vector`) and @a
+ AllocatorType (`std::allocator`), the default value for @a array_t is:
+
+ @code {.cpp}
+ std::vector<
+ basic_json, // value_type
+ std::allocator<basic_json> // allocator_type
+ >
+ @endcode
+
+ #### Limits
+
+ [RFC 7159](http://rfc7159.net/rfc7159) specifies:
+ > An implementation may set limits on the maximum depth of nesting.
+
+ In this class, the array's limit of nesting is not constraint explicitly.
+ However, a maximum depth of nesting may be introduced by the compiler or
+ runtime environment. A theoretical limit can be queried by calling the
+ @ref max_size function of a JSON array.
+
+ #### Storage
+
+ Arrays are stored as pointers in a @ref basic_json type. That is, for any
+ access to array values, a pointer of type `array_t*` must be dereferenced.
+
+ @sa @ref object_t -- type for an object value
+
+ @since version 1.0.0
+ */
+ using array_t = ArrayType<basic_json, AllocatorType<basic_json>>;
+
+ /*!
+ @brief a type for a string
+
+ [RFC 7159](http://rfc7159.net/rfc7159) describes JSON strings as follows:
+ > A string is a sequence of zero or more Unicode characters.
+
+ To store objects in C++, a type is defined by the template parameter
+ described below. Unicode values are split by the JSON class into
+ byte-sized characters during deserialization.
+
+ @tparam StringType the container to store strings (e.g., `std::string`).
+ Note this container is used for keys/names in objects, see @ref object_t.
+
+ #### Default type
+
+ With the default values for @a StringType (`std::string`), the default
+ value for @a string_t is:
+
+ @code {.cpp}
+ std::string
+ @endcode
+
+ #### String comparison
+
+ [RFC 7159](http://rfc7159.net/rfc7159) states:
+ > Software implementations are typically required to test names of object
+ > members for equality. Implementations that transform the textual
+ > representation into sequences of Unicode code units and then perform the
+ > comparison numerically, code unit by code unit, are interoperable in the
+ > sense that implementations will agree in all cases on equality or
+ > inequality of two strings. For example, implementations that compare
+ > strings with escaped characters unconverted may incorrectly find that
+ > `"a\\b"` and `"a\u005Cb"` are not equal.
+
+ This implementation is interoperable as it does compare strings code unit
+ by code unit.
+
+ #### Storage
+
+ String values are stored as pointers in a @ref basic_json type. That is,
+ for any access to string values, a pointer of type `string_t*` must be
+ dereferenced.
+
+ @since version 1.0.0
+ */
+ using string_t = StringType;
+
+ /*!
+ @brief a type for a boolean
+
+ [RFC 7159](http://rfc7159.net/rfc7159) implicitly describes a boolean as a
+ type which differentiates the two literals `true` and `false`.
+
+ To store objects in C++, a type is defined by the template parameter @a
+ BooleanType which chooses the type to use.
+
+ #### Default type
+
+ With the default values for @a BooleanType (`bool`), the default value for
+ @a boolean_t is:
+
+ @code {.cpp}
+ bool
+ @endcode
+
+ #### Storage
+
+ Boolean values are stored directly inside a @ref basic_json type.
+
+ @since version 1.0.0
+ */
+ using boolean_t = BooleanType;
+
+ /*!
+ @brief a type for a number (integer)
+
+ [RFC 7159](http://rfc7159.net/rfc7159) describes numbers as follows:
+ > The representation of numbers is similar to that used in most
+ > programming languages. A number is represented in base 10 using decimal
+ > digits. It contains an integer component that may be prefixed with an
+ > optional minus sign, which may be followed by a fraction part and/or an
+ > exponent part. Leading zeros are not allowed. (...) Numeric values that
+ > cannot be represented in the grammar below (such as Infinity and NaN)
+ > are not permitted.
+
+ This description includes both integer and floating-point numbers.
+ However, C++ allows more precise storage if it is known whether the number
+ is a signed integer, an unsigned integer or a floating-point number.
+ Therefore, three different types, @ref number_integer_t, @ref
+ number_unsigned_t and @ref number_float_t are used.
+
+ To store integer numbers in C++, a type is defined by the template
+ parameter @a NumberIntegerType which chooses the type to use.
+
+ #### Default type
+
+ With the default values for @a NumberIntegerType (`int64_t`), the default
+ value for @a number_integer_t is:
+
+ @code {.cpp}
+ int64_t
+ @endcode
+
+ #### Default behavior
+
+ - The restrictions about leading zeros is not enforced in C++. Instead,
+ leading zeros in integer literals lead to an interpretation as octal
+ number. Internally, the value will be stored as decimal number. For
+ instance, the C++ integer literal `010` will be serialized to `8`.
+ During deserialization, leading zeros yield an error.
+ - Not-a-number (NaN) values will be serialized to `null`.
+
+ #### Limits
+
+ [RFC 7159](http://rfc7159.net/rfc7159) specifies:
+ > An implementation may set limits on the range and precision of numbers.
+
+ When the default type is used, the maximal integer number that can be
+ stored is `9223372036854775807` (INT64_MAX) and the minimal integer number
+ that can be stored is `-9223372036854775808` (INT64_MIN). Integer numbers
+ that are out of range will yield over/underflow when used in a
+ constructor. During deserialization, too large or small integer numbers
+ will be automatically be stored as @ref number_unsigned_t or @ref
+ number_float_t.
+
+ [RFC 7159](http://rfc7159.net/rfc7159) further states:
+ > Note that when such software is used, numbers that are integers and are
+ > in the range \f$[-2^{53}+1, 2^{53}-1]\f$ are interoperable in the sense
+ > that implementations will agree exactly on their numeric values.
+
+ As this range is a subrange of the exactly supported range [INT64_MIN,
+ INT64_MAX], this class's integer type is interoperable.
+
+ #### Storage
+
+ Integer number values are stored directly inside a @ref basic_json type.
+
+ @sa @ref number_float_t -- type for number values (floating-point)
+
+ @sa @ref number_unsigned_t -- type for number values (unsigned integer)
+
+ @since version 1.0.0
+ */
+ using number_integer_t = NumberIntegerType;
+
+ /*!
+ @brief a type for a number (unsigned)
+
+ [RFC 7159](http://rfc7159.net/rfc7159) describes numbers as follows:
+ > The representation of numbers is similar to that used in most
+ > programming languages. A number is represented in base 10 using decimal
+ > digits. It contains an integer component that may be prefixed with an
+ > optional minus sign, which may be followed by a fraction part and/or an
+ > exponent part. Leading zeros are not allowed. (...) Numeric values that
+ > cannot be represented in the grammar below (such as Infinity and NaN)
+ > are not permitted.
+
+ This description includes both integer and floating-point numbers.
+ However, C++ allows more precise storage if it is known whether the number
+ is a signed integer, an unsigned integer or a floating-point number.
+ Therefore, three different types, @ref number_integer_t, @ref
+ number_unsigned_t and @ref number_float_t are used.
+
+ To store unsigned integer numbers in C++, a type is defined by the
+ template parameter @a NumberUnsignedType which chooses the type to use.
+
+ #### Default type
+
+ With the default values for @a NumberUnsignedType (`uint64_t`), the
+ default value for @a number_unsigned_t is:
+
+ @code {.cpp}
+ uint64_t
+ @endcode
+
+ #### Default behavior
+
+ - The restrictions about leading zeros is not enforced in C++. Instead,
+ leading zeros in integer literals lead to an interpretation as octal
+ number. Internally, the value will be stored as decimal number. For
+ instance, the C++ integer literal `010` will be serialized to `8`.
+ During deserialization, leading zeros yield an error.
+ - Not-a-number (NaN) values will be serialized to `null`.
+
+ #### Limits
+
+ [RFC 7159](http://rfc7159.net/rfc7159) specifies:
+ > An implementation may set limits on the range and precision of numbers.
+
+ When the default type is used, the maximal integer number that can be
+ stored is `18446744073709551615` (UINT64_MAX) and the minimal integer
+ number that can be stored is `0`. Integer numbers that are out of range
+ will yield over/underflow when used in a constructor. During
+ deserialization, too large or small integer numbers will be automatically
+ be stored as @ref number_integer_t or @ref number_float_t.
+
+ [RFC 7159](http://rfc7159.net/rfc7159) further states:
+ > Note that when such software is used, numbers that are integers and are
+ > in the range \f$[-2^{53}+1, 2^{53}-1]\f$ are interoperable in the sense
+ > that implementations will agree exactly on their numeric values.
+
+ As this range is a subrange (when considered in conjunction with the
+ number_integer_t type) of the exactly supported range [0, UINT64_MAX],
+ this class's integer type is interoperable.
+
+ #### Storage
+
+ Integer number values are stored directly inside a @ref basic_json type.
+
+ @sa @ref number_float_t -- type for number values (floating-point)
+ @sa @ref number_integer_t -- type for number values (integer)
+
+ @since version 2.0.0
+ */
+ using number_unsigned_t = NumberUnsignedType;
+
+ /*!
+ @brief a type for a number (floating-point)
+
+ [RFC 7159](http://rfc7159.net/rfc7159) describes numbers as follows:
+ > The representation of numbers is similar to that used in most
+ > programming languages. A number is represented in base 10 using decimal
+ > digits. It contains an integer component that may be prefixed with an
+ > optional minus sign, which may be followed by a fraction part and/or an
+ > exponent part. Leading zeros are not allowed. (...) Numeric values that
+ > cannot be represented in the grammar below (such as Infinity and NaN)
+ > are not permitted.
+
+ This description includes both integer and floating-point numbers.
+ However, C++ allows more precise storage if it is known whether the number
+ is a signed integer, an unsigned integer or a floating-point number.
+ Therefore, three different types, @ref number_integer_t, @ref
+ number_unsigned_t and @ref number_float_t are used.
+
+ To store floating-point numbers in C++, a type is defined by the template
+ parameter @a NumberFloatType which chooses the type to use.
+
+ #### Default type
+
+ With the default values for @a NumberFloatType (`double`), the default
+ value for @a number_float_t is:
+
+ @code {.cpp}
+ double
+ @endcode
+
+ #### Default behavior
+
+ - The restrictions about leading zeros is not enforced in C++. Instead,
+ leading zeros in floating-point literals will be ignored. Internally,
+ the value will be stored as decimal number. For instance, the C++
+ floating-point literal `01.2` will be serialized to `1.2`. During
+ deserialization, leading zeros yield an error.
+ - Not-a-number (NaN) values will be serialized to `null`.
+
+ #### Limits
+
+ [RFC 7159](http://rfc7159.net/rfc7159) states:
+ > This specification allows implementations to set limits on the range and
+ > precision of numbers accepted. Since software that implements IEEE
+ > 754-2008 binary64 (double precision) numbers is generally available and
+ > widely used, good interoperability can be achieved by implementations
+ > that expect no more precision or range than these provide, in the sense
+ > that implementations will approximate JSON numbers within the expected
+ > precision.
+
+ This implementation does exactly follow this approach, as it uses double
+ precision floating-point numbers. Note values smaller than
+ `-1.79769313486232e+308` and values greater than `1.79769313486232e+308`
+ will be stored as NaN internally and be serialized to `null`.
+
+ #### Storage
+
+ Floating-point number values are stored directly inside a @ref basic_json
+ type.
+
+ @sa @ref number_integer_t -- type for number values (integer)
+
+ @sa @ref number_unsigned_t -- type for number values (unsigned integer)
+
+ @since version 1.0.0
+ */
+ using number_float_t = NumberFloatType;
+
+ /// @}
+
+
+ ///////////////////////////
+ // JSON type enumeration //
+ ///////////////////////////
+
+ /*!
+ @brief the JSON type enumeration
+
+ This enumeration collects the different JSON types. It is internally used
+ to distinguish the stored values, and the functions @ref is_null(), @ref
+ is_object(), @ref is_array(), @ref is_string(), @ref is_boolean(), @ref
+ is_number() (with @ref is_number_integer(), @ref is_number_unsigned(), and
+ @ref is_number_float()), @ref is_discarded(), @ref is_primitive(), and
+ @ref is_structured() rely on it.
+
+ @note There are three enumeration entries (number_integer,
+ number_unsigned, and number_float), because the library distinguishes
+ these three types for numbers: @ref number_unsigned_t is used for unsigned
+ integers, @ref number_integer_t is used for signed integers, and @ref
+ number_float_t is used for floating-point numbers or to approximate
+ integers which do not fit in the limits of their respective type.
+
+ @sa @ref basic_json(const value_t value_type) -- create a JSON value with
+ the default value for a given type
+
+ @since version 1.0.0
+ */
+ enum class value_t : uint8_t
+ {
+ null, ///< null value
+ object, ///< object (unordered set of name/value pairs)
+ array, ///< array (ordered collection of values)
+ string, ///< string value
+ boolean, ///< boolean value
+ number_integer, ///< number value (signed integer)
+ number_unsigned, ///< number value (unsigned integer)
+ number_float, ///< number value (floating-point)
+ discarded ///< discarded by the the parser callback function
+ };
+
+
+ private:
+
+ /// helper for exception-safe object creation
+ template<typename T, typename... Args>
+ static T* create(Args&& ... args)
+ {
+ AllocatorType<T> alloc;
+ auto deleter = [&](T * object)
+ {
+ alloc.deallocate(object, 1);
+ };
+ std::unique_ptr<T, decltype(deleter)> object(alloc.allocate(1), deleter);
+ alloc.construct(object.get(), std::forward<Args>(args)...);
+ assert(object.get() != nullptr);
+ return object.release();
+ }
+
+ ////////////////////////
+ // JSON value storage //
+ ////////////////////////
+
+ /*!
+ @brief a JSON value
+
+ The actual storage for a JSON value of the @ref basic_json class. This
+ union combines the different storage types for the JSON value types
+ defined in @ref value_t.
+
+ JSON type | value_t type | used type
+ --------- | --------------- | ------------------------
+ object | object | pointer to @ref object_t
+ array | array | pointer to @ref array_t
+ string | string | pointer to @ref string_t
+ boolean | boolean | @ref boolean_t
+ number | number_integer | @ref number_integer_t
+ number | number_unsigned | @ref number_unsigned_t
+ number | number_float | @ref number_float_t
+ null | null | *no value is stored*
+
+ @note Variable-length types (objects, arrays, and strings) are stored as
+ pointers. The size of the union should not exceed 64 bits if the default
+ value types are used.
+
+ @since version 1.0.0
+ */
+ union json_value
+ {
+ /// object (stored with pointer to save storage)
+ object_t* object;
+ /// array (stored with pointer to save storage)
+ array_t* array;
+ /// string (stored with pointer to save storage)
+ string_t* string;
+ /// boolean
+ boolean_t boolean;
+ /// number (integer)
+ number_integer_t number_integer;
+ /// number (unsigned integer)
+ number_unsigned_t number_unsigned;
+ /// number (floating-point)
+ number_float_t number_float;
+
+ /// default constructor (for null values)
+ json_value() = default;
+ /// constructor for booleans
+ json_value(boolean_t v) noexcept : boolean(v) {}
+ /// constructor for numbers (integer)
+ json_value(number_integer_t v) noexcept : number_integer(v) {}
+ /// constructor for numbers (unsigned)
+ json_value(number_unsigned_t v) noexcept : number_unsigned(v) {}
+ /// constructor for numbers (floating-point)
+ json_value(number_float_t v) noexcept : number_float(v) {}
+ /// constructor for empty values of a given type
+ json_value(value_t t)
+ {
+ switch (t)
+ {
+ case value_t::object:
+ {
+ object = create<object_t>();
+ break;
+ }
+
+ case value_t::array:
+ {
+ array = create<array_t>();
+ break;
+ }
+
+ case value_t::string:
+ {
+ string = create<string_t>("");
+ break;
+ }
+
+ case value_t::boolean:
+ {
+ boolean = boolean_t(false);
+ break;
+ }
+
+ case value_t::number_integer:
+ {
+ number_integer = number_integer_t(0);
+ break;
+ }
+
+ case value_t::number_unsigned:
+ {
+ number_unsigned = number_unsigned_t(0);
+ break;
+ }
+
+ case value_t::number_float:
+ {
+ number_float = number_float_t(0.0);
+ break;
+ }
+
+ default:
+ {
+ break;
+ }
+ }
+ }
+
+ /// constructor for strings
+ json_value(const string_t& value)
+ {
+ string = create<string_t>(value);
+ }
+
+ /// constructor for objects
+ json_value(const object_t& value)
+ {
+ object = create<object_t>(value);
+ }
+
+ /// constructor for arrays
+ json_value(const array_t& value)
+ {
+ array = create<array_t>(value);
+ }
+ };
+
+ /*!
+ @brief checks the class invariants
+
+ This function asserts the class invariants. It needs to be called at the
+ end of every constructor to make sure that created objects respect the
+ invariant. Furthermore, it has to be called each time the type of a JSON
+ value is changed, because the invariant expresses a relationship between
+ @a m_type and @a m_value.
+ */
+ void assert_invariant() const
+ {
+ assert(m_type != value_t::object or m_value.object != nullptr);
+ assert(m_type != value_t::array or m_value.array != nullptr);
+ assert(m_type != value_t::string or m_value.string != nullptr);
+ }
+
+ public:
+ //////////////////////////
+ // JSON parser callback //
+ //////////////////////////
+
+ /*!
+ @brief JSON callback events
+
+ This enumeration lists the parser events that can trigger calling a
+ callback function of type @ref parser_callback_t during parsing.
+
+ @image html callback_events.png "Example when certain parse events are triggered"
+
+ @since version 1.0.0
+ */
+ enum class parse_event_t : uint8_t
+ {
+ /// the parser read `{` and started to process a JSON object
+ object_start,
+ /// the parser read `}` and finished processing a JSON object
+ object_end,
+ /// the parser read `[` and started to process a JSON array
+ array_start,
+ /// the parser read `]` and finished processing a JSON array
+ array_end,
+ /// the parser read a key of a value in an object
+ key,
+ /// the parser finished reading a JSON value
+ value
+ };
+
+ /*!
+ @brief per-element parser callback type
+
+ With a parser callback function, the result of parsing a JSON text can be
+ influenced. When passed to @ref parse(std::istream&, const
+ parser_callback_t) or @ref parse(const char*, const parser_callback_t),
+ it is called on certain events (passed as @ref parse_event_t via parameter
+ @a event) with a set recursion depth @a depth and context JSON value
+ @a parsed. The return value of the callback function is a boolean
+ indicating whether the element that emitted the callback shall be kept or
+ not.
+
+ We distinguish six scenarios (determined by the event type) in which the
+ callback function can be called. The following table describes the values
+ of the parameters @a depth, @a event, and @a parsed.
+
+ parameter @a event | description | parameter @a depth | parameter @a parsed
+ ------------------ | ----------- | ------------------ | -------------------
+ parse_event_t::object_start | the parser read `{` and started to process a JSON object | depth of the parent of the JSON object | a JSON value with type discarded
+ parse_event_t::key | the parser read a key of a value in an object | depth of the currently parsed JSON object | a JSON string containing the key
+ parse_event_t::object_end | the parser read `}` and finished processing a JSON object | depth of the parent of the JSON object | the parsed JSON object
+ parse_event_t::array_start | the parser read `[` and started to process a JSON array | depth of the parent of the JSON array | a JSON value with type discarded
+ parse_event_t::array_end | the parser read `]` and finished processing a JSON array | depth of the parent of the JSON array | the parsed JSON array
+ parse_event_t::value | the parser finished reading a JSON value | depth of the value | the parsed JSON value
+
+ @image html callback_events.png "Example when certain parse events are triggered"
+
+ Discarding a value (i.e., returning `false`) has different effects
+ depending on the context in which function was called:
+
+ - Discarded values in structured types are skipped. That is, the parser
+ will behave as if the discarded value was never read.
+ - In case a value outside a structured type is skipped, it is replaced
+ with `null`. This case happens if the top-level element is skipped.
+
+ @param[in] depth the depth of the recursion during parsing
+
+ @param[in] event an event of type parse_event_t indicating the context in
+ the callback function has been called
+
+ @param[in,out] parsed the current intermediate parse result; note that
+ writing to this value has no effect for parse_event_t::key events
+
+ @return Whether the JSON value which called the function during parsing
+ should be kept (`true`) or not (`false`). In the latter case, it is either
+ skipped completely or replaced by an empty discarded object.
+
+ @sa @ref parse(std::istream&, parser_callback_t) or
+ @ref parse(const char*, parser_callback_t) for examples
+
+ @since version 1.0.0
+ */
+ using parser_callback_t = std::function<bool(int depth,
+ parse_event_t event,
+ basic_json& parsed)>;
+
+
+ //////////////////
+ // constructors //
+ //////////////////
+
+ /// @name constructors and destructors
+ /// Constructors of class @ref basic_json, copy/move constructor, copy
+ /// assignment, static functions creating objects, and the destructor.
+ /// @{
+
+ /*!
+ @brief create an empty value with a given type
+
+ Create an empty JSON value with a given type. The value will be default
+ initialized with an empty value which depends on the type:
+
+ Value type | initial value
+ ----------- | -------------
+ null | `null`
+ boolean | `false`
+ string | `""`
+ number | `0`
+ object | `{}`
+ array | `[]`
+
+ @param[in] value_type the type of the value to create
+
+ @complexity Constant.
+
+ @throw std::bad_alloc if allocation for object, array, or string value
+ fails
+
+ @liveexample{The following code shows the constructor for different @ref
+ value_t values,basic_json__value_t}
+
+ @sa @ref basic_json(std::nullptr_t) -- create a `null` value
+ @sa @ref basic_json(boolean_t value) -- create a boolean value
+ @sa @ref basic_json(const string_t&) -- create a string value
+ @sa @ref basic_json(const object_t&) -- create a object value
+ @sa @ref basic_json(const array_t&) -- create a array value
+ @sa @ref basic_json(const number_float_t) -- create a number
+ (floating-point) value
+ @sa @ref basic_json(const number_integer_t) -- create a number (integer)
+ value
+ @sa @ref basic_json(const number_unsigned_t) -- create a number (unsigned)
+ value
+
+ @since version 1.0.0
+ */
+ basic_json(const value_t value_type)
+ : m_type(value_type), m_value(value_type)
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create a null object
+
+ Create a `null` JSON value. It either takes a null pointer as parameter
+ (explicitly creating `null`) or no parameter (implicitly creating `null`).
+ The passed null pointer itself is not read -- it is only used to choose
+ the right constructor.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this constructor never throws
+ exceptions.
+
+ @liveexample{The following code shows the constructor with and without a
+ null pointer parameter.,basic_json__nullptr_t}
+
+ @since version 1.0.0
+ */
+ basic_json(std::nullptr_t = nullptr) noexcept
+ : basic_json(value_t::null)
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an object (explicit)
+
+ Create an object JSON value with a given content.
+
+ @param[in] val a value for the object
+
+ @complexity Linear in the size of the passed @a val.
+
+ @throw std::bad_alloc if allocation for object value fails
+
+ @liveexample{The following code shows the constructor with an @ref
+ object_t parameter.,basic_json__object_t}
+
+ @sa @ref basic_json(const CompatibleObjectType&) -- create an object value
+ from a compatible STL container
+
+ @since version 1.0.0
+ */
+ basic_json(const object_t& val)
+ : m_type(value_t::object), m_value(val)
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an object (implicit)
+
+ Create an object JSON value with a given content. This constructor allows
+ any type @a CompatibleObjectType that can be used to construct values of
+ type @ref object_t.
+
+ @tparam CompatibleObjectType An object type whose `key_type` and
+ `value_type` is compatible to @ref object_t. Examples include `std::map`,
+ `std::unordered_map`, `std::multimap`, and `std::unordered_multimap` with
+ a `key_type` of `std::string`, and a `value_type` from which a @ref
+ basic_json value can be constructed.
+
+ @param[in] val a value for the object
+
+ @complexity Linear in the size of the passed @a val.
+
+ @throw std::bad_alloc if allocation for object value fails
+
+ @liveexample{The following code shows the constructor with several
+ compatible object type parameters.,basic_json__CompatibleObjectType}
+
+ @sa @ref basic_json(const object_t&) -- create an object value
+
+ @since version 1.0.0
+ */
+ template<class CompatibleObjectType, typename std::enable_if<
+ std::is_constructible<typename object_t::key_type, typename CompatibleObjectType::key_type>::value and
+ std::is_constructible<basic_json, typename CompatibleObjectType::mapped_type>::value, int>::type = 0>
+ basic_json(const CompatibleObjectType& val)
+ : m_type(value_t::object)
+ {
+ using std::begin;
+ using std::end;
+ m_value.object = create<object_t>(begin(val), end(val));
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an array (explicit)
+
+ Create an array JSON value with a given content.
+
+ @param[in] val a value for the array
+
+ @complexity Linear in the size of the passed @a val.
+
+ @throw std::bad_alloc if allocation for array value fails
+
+ @liveexample{The following code shows the constructor with an @ref array_t
+ parameter.,basic_json__array_t}
+
+ @sa @ref basic_json(const CompatibleArrayType&) -- create an array value
+ from a compatible STL containers
+
+ @since version 1.0.0
+ */
+ basic_json(const array_t& val)
+ : m_type(value_t::array), m_value(val)
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an array (implicit)
+
+ Create an array JSON value with a given content. This constructor allows
+ any type @a CompatibleArrayType that can be used to construct values of
+ type @ref array_t.
+
+ @tparam CompatibleArrayType An object type whose `value_type` is
+ compatible to @ref array_t. Examples include `std::vector`, `std::deque`,
+ `std::list`, `std::forward_list`, `std::array`, `std::set`,
+ `std::unordered_set`, `std::multiset`, and `unordered_multiset` with a
+ `value_type` from which a @ref basic_json value can be constructed.
+
+ @param[in] val a value for the array
+
+ @complexity Linear in the size of the passed @a val.
+
+ @throw std::bad_alloc if allocation for array value fails
+
+ @liveexample{The following code shows the constructor with several
+ compatible array type parameters.,basic_json__CompatibleArrayType}
+
+ @sa @ref basic_json(const array_t&) -- create an array value
+
+ @since version 1.0.0
+ */
+ template<class CompatibleArrayType, typename std::enable_if<
+ not std::is_same<CompatibleArrayType, typename basic_json_t::iterator>::value and
+ not std::is_same<CompatibleArrayType, typename basic_json_t::const_iterator>::value and
+ not std::is_same<CompatibleArrayType, typename basic_json_t::reverse_iterator>::value and
+ not std::is_same<CompatibleArrayType, typename basic_json_t::const_reverse_iterator>::value and
+ not std::is_same<CompatibleArrayType, typename array_t::iterator>::value and
+ not std::is_same<CompatibleArrayType, typename array_t::const_iterator>::value and
+ std::is_constructible<basic_json, typename CompatibleArrayType::value_type>::value, int>::type = 0>
+ basic_json(const CompatibleArrayType& val)
+ : m_type(value_t::array)
+ {
+ using std::begin;
+ using std::end;
+ m_value.array = create<array_t>(begin(val), end(val));
+ assert_invariant();
+ }
+
+ /*!
+ @brief create a string (explicit)
+
+ Create an string JSON value with a given content.
+
+ @param[in] val a value for the string
+
+ @complexity Linear in the size of the passed @a val.
+
+ @throw std::bad_alloc if allocation for string value fails
+
+ @liveexample{The following code shows the constructor with an @ref
+ string_t parameter.,basic_json__string_t}
+
+ @sa @ref basic_json(const typename string_t::value_type*) -- create a
+ string value from a character pointer
+ @sa @ref basic_json(const CompatibleStringType&) -- create a string value
+ from a compatible string container
+
+ @since version 1.0.0
+ */
+ basic_json(const string_t& val)
+ : m_type(value_t::string), m_value(val)
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create a string (explicit)
+
+ Create a string JSON value with a given content.
+
+ @param[in] val a literal value for the string
+
+ @complexity Linear in the size of the passed @a val.
+
+ @throw std::bad_alloc if allocation for string value fails
+
+ @liveexample{The following code shows the constructor with string literal
+ parameter.,basic_json__string_t_value_type}
+
+ @sa @ref basic_json(const string_t&) -- create a string value
+ @sa @ref basic_json(const CompatibleStringType&) -- create a string value
+ from a compatible string container
+
+ @since version 1.0.0
+ */
+ basic_json(const typename string_t::value_type* val)
+ : basic_json(string_t(val))
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create a string (implicit)
+
+ Create a string JSON value with a given content.
+
+ @param[in] val a value for the string
+
+ @tparam CompatibleStringType an string type which is compatible to @ref
+ string_t, for instance `std::string`.
+
+ @complexity Linear in the size of the passed @a val.
+
+ @throw std::bad_alloc if allocation for string value fails
+
+ @liveexample{The following code shows the construction of a string value
+ from a compatible type.,basic_json__CompatibleStringType}
+
+ @sa @ref basic_json(const string_t&) -- create a string value
+ @sa @ref basic_json(const typename string_t::value_type*) -- create a
+ string value from a character pointer
+
+ @since version 1.0.0
+ */
+ template<class CompatibleStringType, typename std::enable_if<
+ std::is_constructible<string_t, CompatibleStringType>::value, int>::type = 0>
+ basic_json(const CompatibleStringType& val)
+ : basic_json(string_t(val))
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create a boolean (explicit)
+
+ Creates a JSON boolean type from a given value.
+
+ @param[in] val a boolean value to store
+
+ @complexity Constant.
+
+ @liveexample{The example below demonstrates boolean
+ values.,basic_json__boolean_t}
+
+ @since version 1.0.0
+ */
+ basic_json(boolean_t val) noexcept
+ : m_type(value_t::boolean), m_value(val)
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an integer number (explicit)
+
+ Create an integer number JSON value with a given content.
+
+ @tparam T A helper type to remove this function via SFINAE in case @ref
+ number_integer_t is the same as `int`. In this case, this constructor
+ would have the same signature as @ref basic_json(const int value). Note
+ the helper type @a T is not visible in this constructor's interface.
+
+ @param[in] val an integer to create a JSON number from
+
+ @complexity Constant.
+
+ @liveexample{The example below shows the construction of an integer
+ number value.,basic_json__number_integer_t}
+
+ @sa @ref basic_json(const int) -- create a number value (integer)
+ @sa @ref basic_json(const CompatibleNumberIntegerType) -- create a number
+ value (integer) from a compatible number type
+
+ @since version 1.0.0
+ */
+ template<typename T, typename std::enable_if<
+ not (std::is_same<T, int>::value) and
+ std::is_same<T, number_integer_t>::value, int>::type = 0>
+ basic_json(const number_integer_t val) noexcept
+ : m_type(value_t::number_integer), m_value(val)
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an integer number from an enum type (explicit)
+
+ Create an integer number JSON value with a given content.
+
+ @param[in] val an integer to create a JSON number from
+
+ @note This constructor allows to pass enums directly to a constructor. As
+ C++ has no way of specifying the type of an anonymous enum explicitly, we
+ can only rely on the fact that such values implicitly convert to int. As
+ int may already be the same type of number_integer_t, we may need to
+ switch off the constructor @ref basic_json(const number_integer_t).
+
+ @complexity Constant.
+
+ @liveexample{The example below shows the construction of an integer
+ number value from an anonymous enum.,basic_json__const_int}
+
+ @sa @ref basic_json(const number_integer_t) -- create a number value
+ (integer)
+ @sa @ref basic_json(const CompatibleNumberIntegerType) -- create a number
+ value (integer) from a compatible number type
+
+ @since version 1.0.0
+ */
+ basic_json(const int val) noexcept
+ : m_type(value_t::number_integer),
+ m_value(static_cast<number_integer_t>(val))
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an integer number (implicit)
+
+ Create an integer number JSON value with a given content. This constructor
+ allows any type @a CompatibleNumberIntegerType that can be used to
+ construct values of type @ref number_integer_t.
+
+ @tparam CompatibleNumberIntegerType An integer type which is compatible to
+ @ref number_integer_t. Examples include the types `int`, `int32_t`,
+ `long`, and `short`.
+
+ @param[in] val an integer to create a JSON number from
+
+ @complexity Constant.
+
+ @liveexample{The example below shows the construction of several integer
+ number values from compatible
+ types.,basic_json__CompatibleIntegerNumberType}
+
+ @sa @ref basic_json(const number_integer_t) -- create a number value
+ (integer)
+ @sa @ref basic_json(const int) -- create a number value (integer)
+
+ @since version 1.0.0
+ */
+ template<typename CompatibleNumberIntegerType, typename std::enable_if<
+ std::is_constructible<number_integer_t, CompatibleNumberIntegerType>::value and
+ std::numeric_limits<CompatibleNumberIntegerType>::is_integer and
+ std::numeric_limits<CompatibleNumberIntegerType>::is_signed,
+ CompatibleNumberIntegerType>::type = 0>
+ basic_json(const CompatibleNumberIntegerType val) noexcept
+ : m_type(value_t::number_integer),
+ m_value(static_cast<number_integer_t>(val))
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an unsigned integer number (explicit)
+
+ Create an unsigned integer number JSON value with a given content.
+
+ @tparam T helper type to compare number_unsigned_t and unsigned int (not
+ visible in) the interface.
+
+ @param[in] val an integer to create a JSON number from
+
+ @complexity Constant.
+
+ @sa @ref basic_json(const CompatibleNumberUnsignedType) -- create a number
+ value (unsigned integer) from a compatible number type
+
+ @since version 2.0.0
+ */
+ template<typename T, typename std::enable_if<
+ not (std::is_same<T, int>::value) and
+ std::is_same<T, number_unsigned_t>::value, int>::type = 0>
+ basic_json(const number_unsigned_t val) noexcept
+ : m_type(value_t::number_unsigned), m_value(val)
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an unsigned number (implicit)
+
+ Create an unsigned number JSON value with a given content. This
+ constructor allows any type @a CompatibleNumberUnsignedType that can be
+ used to construct values of type @ref number_unsigned_t.
+
+ @tparam CompatibleNumberUnsignedType An integer type which is compatible
+ to @ref number_unsigned_t. Examples may include the types `unsigned int`,
+ `uint32_t`, or `unsigned short`.
+
+ @param[in] val an unsigned integer to create a JSON number from
+
+ @complexity Constant.
+
+ @sa @ref basic_json(const number_unsigned_t) -- create a number value
+ (unsigned)
+
+ @since version 2.0.0
+ */
+ template<typename CompatibleNumberUnsignedType, typename std::enable_if <
+ std::is_constructible<number_unsigned_t, CompatibleNumberUnsignedType>::value and
+ std::numeric_limits<CompatibleNumberUnsignedType>::is_integer and
+ not std::numeric_limits<CompatibleNumberUnsignedType>::is_signed,
+ CompatibleNumberUnsignedType>::type = 0>
+ basic_json(const CompatibleNumberUnsignedType val) noexcept
+ : m_type(value_t::number_unsigned),
+ m_value(static_cast<number_unsigned_t>(val))
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create a floating-point number (explicit)
+
+ Create a floating-point number JSON value with a given content.
+
+ @param[in] val a floating-point value to create a JSON number from
+
+ @note [RFC 7159](http://www.rfc-editor.org/rfc/rfc7159.txt), section 6
+ disallows NaN values:
+ > Numeric values that cannot be represented in the grammar below (such as
+ > Infinity and NaN) are not permitted.
+ In case the parameter @a val is not a number, a JSON null value is created
+ instead.
+
+ @complexity Constant.
+
+ @liveexample{The following example creates several floating-point
+ values.,basic_json__number_float_t}
+
+ @sa @ref basic_json(const CompatibleNumberFloatType) -- create a number
+ value (floating-point) from a compatible number type
+
+ @since version 1.0.0
+ */
+ basic_json(const number_float_t val) noexcept
+ : m_type(value_t::number_float), m_value(val)
+ {
+ // replace infinity and NAN by null
+ if (not std::isfinite(val))
+ {
+ m_type = value_t::null;
+ m_value = json_value();
+ }
+
+ assert_invariant();
+ }
+
+ /*!
+ @brief create an floating-point number (implicit)
+
+ Create an floating-point number JSON value with a given content. This
+ constructor allows any type @a CompatibleNumberFloatType that can be used
+ to construct values of type @ref number_float_t.
+
+ @tparam CompatibleNumberFloatType A floating-point type which is
+ compatible to @ref number_float_t. Examples may include the types `float`
+ or `double`.
+
+ @param[in] val a floating-point to create a JSON number from
+
+ @note [RFC 7159](http://www.rfc-editor.org/rfc/rfc7159.txt), section 6
+ disallows NaN values:
+ > Numeric values that cannot be represented in the grammar below (such as
+ > Infinity and NaN) are not permitted.
+ In case the parameter @a val is not a number, a JSON null value is
+ created instead.
+
+ @complexity Constant.
+
+ @liveexample{The example below shows the construction of several
+ floating-point number values from compatible
+ types.,basic_json__CompatibleNumberFloatType}
+
+ @sa @ref basic_json(const number_float_t) -- create a number value
+ (floating-point)
+
+ @since version 1.0.0
+ */
+ template<typename CompatibleNumberFloatType, typename = typename std::enable_if<
+ std::is_constructible<number_float_t, CompatibleNumberFloatType>::value and
+ std::is_floating_point<CompatibleNumberFloatType>::value>::type>
+ basic_json(const CompatibleNumberFloatType val) noexcept
+ : basic_json(number_float_t(val))
+ {
+ assert_invariant();
+ }
+
+ /*!
+ @brief create a container (array or object) from an initializer list
+
+ Creates a JSON value of type array or object from the passed initializer
+ list @a init. In case @a type_deduction is `true` (default), the type of
+ the JSON value to be created is deducted from the initializer list @a init
+ according to the following rules:
+
+ 1. If the list is empty, an empty JSON object value `{}` is created.
+ 2. If the list consists of pairs whose first element is a string, a JSON
+ object value is created where the first elements of the pairs are
+ treated as keys and the second elements are as values.
+ 3. In all other cases, an array is created.
+
+ The rules aim to create the best fit between a C++ initializer list and
+ JSON values. The rationale is as follows:
+
+ 1. The empty initializer list is written as `{}` which is exactly an empty
+ JSON object.
+ 2. C++ has now way of describing mapped types other than to list a list of
+ pairs. As JSON requires that keys must be of type string, rule 2 is the
+ weakest constraint one can pose on initializer lists to interpret them
+ as an object.
+ 3. In all other cases, the initializer list could not be interpreted as
+ JSON object type, so interpreting it as JSON array type is safe.
+
+ With the rules described above, the following JSON values cannot be
+ expressed by an initializer list:
+
+ - the empty array (`[]`): use @ref array(std::initializer_list<basic_json>)
+ with an empty initializer list in this case
+ - arrays whose elements satisfy rule 2: use @ref
+ array(std::initializer_list<basic_json>) with the same initializer list
+ in this case
+
+ @note When used without parentheses around an empty initializer list, @ref
+ basic_json() is called instead of this function, yielding the JSON null
+ value.
+
+ @param[in] init initializer list with JSON values
+
+ @param[in] type_deduction internal parameter; when set to `true`, the type
+ of the JSON value is deducted from the initializer list @a init; when set
+ to `false`, the type provided via @a manual_type is forced. This mode is
+ used by the functions @ref array(std::initializer_list<basic_json>) and
+ @ref object(std::initializer_list<basic_json>).
+
+ @param[in] manual_type internal parameter; when @a type_deduction is set
+ to `false`, the created JSON value will use the provided type (only @ref
+ value_t::array and @ref value_t::object are valid); when @a type_deduction
+ is set to `true`, this parameter has no effect
+
+ @throw std::domain_error if @a type_deduction is `false`, @a manual_type
+ is `value_t::object`, but @a init contains an element which is not a pair
+ whose first element is a string; example: `"cannot create object from
+ initializer list"`
+
+ @complexity Linear in the size of the initializer list @a init.
+
+ @liveexample{The example below shows how JSON values are created from
+ initializer lists.,basic_json__list_init_t}
+
+ @sa @ref array(std::initializer_list<basic_json>) -- create a JSON array
+ value from an initializer list
+ @sa @ref object(std::initializer_list<basic_json>) -- create a JSON object
+ value from an initializer list
+
+ @since version 1.0.0
+ */
+ basic_json(std::initializer_list<basic_json> init,
+ bool type_deduction = true,
+ value_t manual_type = value_t::array)
+ {
+ // check if each element is an array with two elements whose first
+ // element is a string
+ bool is_an_object = std::all_of(init.begin(), init.end(),
+ [](const basic_json & element)
+ {
+ return element.is_array() and element.size() == 2 and element[0].is_string();
+ });
+
+ // adjust type if type deduction is not wanted
+ if (not type_deduction)
+ {
+ // if array is wanted, do not create an object though possible
+ if (manual_type == value_t::array)
+ {
+ is_an_object = false;
+ }
+
+ // if object is wanted but impossible, throw an exception
+ if (manual_type == value_t::object and not is_an_object)
+ {
+ throw std::domain_error("cannot create object from initializer list");
+ }
+ }
+
+ if (is_an_object)
+ {
+ // the initializer list is a list of pairs -> create object
+ m_type = value_t::object;
+ m_value = value_t::object;
+
+ std::for_each(init.begin(), init.end(), [this](const basic_json & element)
+ {
+ m_value.object->emplace(*(element[0].m_value.string), element[1]);
+ });
+ }
+ else
+ {
+ // the initializer list describes an array -> create array
+ m_type = value_t::array;
+ m_value.array = create<array_t>(init);
+ }
+
+ assert_invariant();
+ }
+
+ /*!
+ @brief explicitly create an array from an initializer list
+
+ Creates a JSON array value from a given initializer list. That is, given a
+ list of values `a, b, c`, creates the JSON value `[a, b, c]`. If the
+ initializer list is empty, the empty array `[]` is created.
+
+ @note This function is only needed to express two edge cases that cannot
+ be realized with the initializer list constructor (@ref
+ basic_json(std::initializer_list<basic_json>, bool, value_t)). These cases
+ are:
+ 1. creating an array whose elements are all pairs whose first element is a
+ string -- in this case, the initializer list constructor would create an
+ object, taking the first elements as keys
+ 2. creating an empty array -- passing the empty initializer list to the
+ initializer list constructor yields an empty object
+
+ @param[in] init initializer list with JSON values to create an array from
+ (optional)
+
+ @return JSON array value
+
+ @complexity Linear in the size of @a init.
+
+ @liveexample{The following code shows an example for the `array`
+ function.,array}
+
+ @sa @ref basic_json(std::initializer_list<basic_json>, bool, value_t) --
+ create a JSON value from an initializer list
+ @sa @ref object(std::initializer_list<basic_json>) -- create a JSON object
+ value from an initializer list
+
+ @since version 1.0.0
+ */
+ static basic_json array(std::initializer_list<basic_json> init =
+ std::initializer_list<basic_json>())
+ {
+ return basic_json(init, false, value_t::array);
+ }
+
+ /*!
+ @brief explicitly create an object from an initializer list
+
+ Creates a JSON object value from a given initializer list. The initializer
+ lists elements must be pairs, and their first elements must be strings. If
+ the initializer list is empty, the empty object `{}` is created.
+
+ @note This function is only added for symmetry reasons. In contrast to the
+ related function @ref array(std::initializer_list<basic_json>), there are
+ no cases which can only be expressed by this function. That is, any
+ initializer list @a init can also be passed to the initializer list
+ constructor @ref basic_json(std::initializer_list<basic_json>, bool,
+ value_t).
+
+ @param[in] init initializer list to create an object from (optional)
+
+ @return JSON object value
+
+ @throw std::domain_error if @a init is not a pair whose first elements are
+ strings; thrown by
+ @ref basic_json(std::initializer_list<basic_json>, bool, value_t)
+
+ @complexity Linear in the size of @a init.
+
+ @liveexample{The following code shows an example for the `object`
+ function.,object}
+
+ @sa @ref basic_json(std::initializer_list<basic_json>, bool, value_t) --
+ create a JSON value from an initializer list
+ @sa @ref array(std::initializer_list<basic_json>) -- create a JSON array
+ value from an initializer list
+
+ @since version 1.0.0
+ */
+ static basic_json object(std::initializer_list<basic_json> init =
+ std::initializer_list<basic_json>())
+ {
+ return basic_json(init, false, value_t::object);
+ }
+
+ /*!
+ @brief construct an array with count copies of given value
+
+ Constructs a JSON array value by creating @a cnt copies of a passed value.
+ In case @a cnt is `0`, an empty array is created. As postcondition,
+ `std::distance(begin(),end()) == cnt` holds.
+
+ @param[in] cnt the number of JSON copies of @a val to create
+ @param[in] val the JSON value to copy
+
+ @complexity Linear in @a cnt.
+
+ @liveexample{The following code shows examples for the @ref
+ basic_json(size_type\, const basic_json&)
+ constructor.,basic_json__size_type_basic_json}
+
+ @since version 1.0.0
+ */
+ basic_json(size_type cnt, const basic_json& val)
+ : m_type(value_t::array)
+ {
+ m_value.array = create<array_t>(cnt, val);
+ assert_invariant();
+ }
+
+ /*!
+ @brief construct a JSON container given an iterator range
+
+ Constructs the JSON value with the contents of the range `[first, last)`.
+ The semantics depends on the different types a JSON value can have:
+ - In case of primitive types (number, boolean, or string), @a first must
+ be `begin()` and @a last must be `end()`. In this case, the value is
+ copied. Otherwise, std::out_of_range is thrown.
+ - In case of structured types (array, object), the constructor behaves as
+ similar versions for `std::vector`.
+ - In case of a null type, std::domain_error is thrown.
+
+ @tparam InputIT an input iterator type (@ref iterator or @ref
+ const_iterator)
+
+ @param[in] first begin of the range to copy from (included)
+ @param[in] last end of the range to copy from (excluded)
+
+ @pre Iterators @a first and @a last must be initialized. **This
+ precondition is enforced with an assertion.**
+
+ @throw std::domain_error if iterators are not compatible; that is, do not
+ belong to the same JSON value; example: `"iterators are not compatible"`
+ @throw std::out_of_range if iterators are for a primitive type (number,
+ boolean, or string) where an out of range error can be detected easily;
+ example: `"iterators out of range"`
+ @throw std::bad_alloc if allocation for object, array, or string fails
+ @throw std::domain_error if called with a null value; example: `"cannot
+ use construct with iterators from null"`
+
+ @complexity Linear in distance between @a first and @a last.
+
+ @liveexample{The example below shows several ways to create JSON values by
+ specifying a subrange with iterators.,basic_json__InputIt_InputIt}
+
+ @since version 1.0.0
+ */
+ template<class InputIT, typename std::enable_if<
+ std::is_same<InputIT, typename basic_json_t::iterator>::value or
+ std::is_same<InputIT, typename basic_json_t::const_iterator>::value, int>::type = 0>
+ basic_json(InputIT first, InputIT last)
+ {
+ assert(first.m_object != nullptr);
+ assert(last.m_object != nullptr);
+
+ // make sure iterator fits the current value
+ if (first.m_object != last.m_object)
+ {
+ throw std::domain_error("iterators are not compatible");
+ }
+
+ // copy type from first iterator
+ m_type = first.m_object->m_type;
+
+ // check if iterator range is complete for primitive values
+ switch (m_type)
+ {
+ case value_t::boolean:
+ case value_t::number_float:
+ case value_t::number_integer:
+ case value_t::number_unsigned:
+ case value_t::string:
+ {
+ if (not first.m_it.primitive_iterator.is_begin() or not last.m_it.primitive_iterator.is_end())
+ {
+ throw std::out_of_range("iterators out of range");
+ }
+ break;
+ }
+
+ default:
+ {
+ break;
+ }
+ }
+
+ switch (m_type)
+ {
+ case value_t::number_integer:
+ {
+ m_value.number_integer = first.m_object->m_value.number_integer;
+ break;
+ }
+
+ case value_t::number_unsigned:
+ {
+ m_value.number_unsigned = first.m_object->m_value.number_unsigned;
+ break;
+ }
+
+ case value_t::number_float:
+ {
+ m_value.number_float = first.m_object->m_value.number_float;
+ break;
+ }
+
+ case value_t::boolean:
+ {
+ m_value.boolean = first.m_object->m_value.boolean;
+ break;
+ }
+
+ case value_t::string:
+ {
+ m_value = *first.m_object->m_value.string;
+ break;
+ }
+
+ case value_t::object:
+ {
+ m_value.object = create<object_t>(first.m_it.object_iterator, last.m_it.object_iterator);
+ break;
+ }
+
+ case value_t::array:
+ {
+ m_value.array = create<array_t>(first.m_it.array_iterator, last.m_it.array_iterator);
+ break;
+ }
+
+ default:
+ {
+ throw std::domain_error("cannot use construct with iterators from " + first.m_object->type_name());
+ }
+ }
+
+ assert_invariant();
+ }
+
+ /*!
+ @brief construct a JSON value given an input stream
+
+ @param[in,out] i stream to read a serialized JSON value from
+ @param[in] cb a parser callback function of type @ref parser_callback_t
+ which is used to control the deserialization by filtering unwanted values
+ (optional)
+
+ @complexity Linear in the length of the input. The parser is a predictive
+ LL(1) parser. The complexity can be higher if the parser callback function
+ @a cb has a super-linear complexity.
+
+ @note A UTF-8 byte order mark is silently ignored.
+
+ @deprecated This constructor is deprecated and will be removed in version
+ 3.0.0 to unify the interface of the library. Deserialization will be
+ done by stream operators or by calling one of the `parse` functions,
+ e.g. @ref parse(std::istream&, const parser_callback_t). That is, calls
+ like `json j(i);` for an input stream @a i need to be replaced by
+ `json j = json::parse(i);`. See the example below.
+
+ @liveexample{The example below demonstrates constructing a JSON value from
+ a `std::stringstream` with and without callback
+ function.,basic_json__istream}
+
+ @since version 2.0.0, deprecated in version 2.0.3, to be removed in
+ version 3.0.0
+ */
+ JSON_DEPRECATED
+ explicit basic_json(std::istream& i, const parser_callback_t cb = nullptr)
+ {
+ *this = parser(i, cb).parse();
+ assert_invariant();
+ }
+
+ ///////////////////////////////////////
+ // other constructors and destructor //
+ ///////////////////////////////////////
+
+ /*!
+ @brief copy constructor
+
+ Creates a copy of a given JSON value.
+
+ @param[in] other the JSON value to copy
+
+ @complexity Linear in the size of @a other.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is linear.
+ - As postcondition, it holds: `other == basic_json(other)`.
+
+ @throw std::bad_alloc if allocation for object, array, or string fails.
+
+ @liveexample{The following code shows an example for the copy
+ constructor.,basic_json__basic_json}
+
+ @since version 1.0.0
+ */
+ basic_json(const basic_json& other)
+ : m_type(other.m_type)
+ {
+ // check of passed value is valid
+ other.assert_invariant();
+
+ switch (m_type)
+ {
+ case value_t::object:
+ {
+ m_value = *other.m_value.object;
+ break;
+ }
+
+ case value_t::array:
+ {
+ m_value = *other.m_value.array;
+ break;
+ }
+
+ case value_t::string:
+ {
+ m_value = *other.m_value.string;
+ break;
+ }
+
+ case value_t::boolean:
+ {
+ m_value = other.m_value.boolean;
+ break;
+ }
+
+ case value_t::number_integer:
+ {
+ m_value = other.m_value.number_integer;
+ break;
+ }
+
+ case value_t::number_unsigned:
+ {
+ m_value = other.m_value.number_unsigned;
+ break;
+ }
+
+ case value_t::number_float:
+ {
+ m_value = other.m_value.number_float;
+ break;
+ }
+
+ default:
+ {
+ break;
+ }
+ }
+
+ assert_invariant();
+ }
+
+ /*!
+ @brief move constructor
+
+ Move constructor. Constructs a JSON value with the contents of the given
+ value @a other using move semantics. It "steals" the resources from @a
+ other and leaves it as JSON null value.
+
+ @param[in,out] other value to move to this object
+
+ @post @a other is a JSON null value
+
+ @complexity Constant.
+
+ @liveexample{The code below shows the move constructor explicitly called
+ via std::move.,basic_json__moveconstructor}
+
+ @since version 1.0.0
+ */
+ basic_json(basic_json&& other) noexcept
+ : m_type(std::move(other.m_type)),
+ m_value(std::move(other.m_value))
+ {
+ // check that passed value is valid
+ other.assert_invariant();
+
+ // invalidate payload
+ other.m_type = value_t::null;
+ other.m_value = {};
+
+ assert_invariant();
+ }
+
+ /*!
+ @brief copy assignment
+
+ Copy assignment operator. Copies a JSON value via the "copy and swap"
+ strategy: It is expressed in terms of the copy constructor, destructor,
+ and the swap() member function.
+
+ @param[in] other value to copy from
+
+ @complexity Linear.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is linear.
+
+ @liveexample{The code below shows and example for the copy assignment. It
+ creates a copy of value `a` which is then swapped with `b`. Finally\, the
+ copy of `a` (which is the null value after the swap) is
+ destroyed.,basic_json__copyassignment}
+
+ @since version 1.0.0
+ */
+ reference& operator=(basic_json other) noexcept (
+ std::is_nothrow_move_constructible<value_t>::value and
+ std::is_nothrow_move_assignable<value_t>::value and
+ std::is_nothrow_move_constructible<json_value>::value and
+ std::is_nothrow_move_assignable<json_value>::value
+ )
+ {
+ // check that passed value is valid
+ other.assert_invariant();
+
+ using std::swap;
+ swap(m_type, other.m_type);
+ swap(m_value, other.m_value);
+
+ assert_invariant();
+ return *this;
+ }
+
+ /*!
+ @brief destructor
+
+ Destroys the JSON value and frees all allocated memory.
+
+ @complexity Linear.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is linear.
+ - All stored elements are destroyed and all memory is freed.
+
+ @since version 1.0.0
+ */
+ ~basic_json()
+ {
+ assert_invariant();
+
+ switch (m_type)
+ {
+ case value_t::object:
+ {
+ AllocatorType<object_t> alloc;
+ alloc.destroy(m_value.object);
+ alloc.deallocate(m_value.object, 1);
+ break;
+ }
+
+ case value_t::array:
+ {
+ AllocatorType<array_t> alloc;
+ alloc.destroy(m_value.array);
+ alloc.deallocate(m_value.array, 1);
+ break;
+ }
+
+ case value_t::string:
+ {
+ AllocatorType<string_t> alloc;
+ alloc.destroy(m_value.string);
+ alloc.deallocate(m_value.string, 1);
+ break;
+ }
+
+ default:
+ {
+ // all other types need no specific destructor
+ break;
+ }
+ }
+ }
+
+ /// @}
+
+ public:
+ ///////////////////////
+ // object inspection //
+ ///////////////////////
+
+ /// @name object inspection
+ /// Functions to inspect the type of a JSON value.
+ /// @{
+
+ /*!
+ @brief serialization
+
+ Serialization function for JSON values. The function tries to mimic
+ Python's `json.dumps()` function, and currently supports its @a indent
+ parameter.
+
+ @param[in] indent If indent is nonnegative, then array elements and object
+ members will be pretty-printed with that indent level. An indent level of
+ `0` will only insert newlines. `-1` (the default) selects the most compact
+ representation.
+
+ @return string containing the serialization of the JSON value
+
+ @complexity Linear.
+
+ @liveexample{The following example shows the effect of different @a indent
+ parameters to the result of the serialization.,dump}
+
+ @see https://docs.python.org/2/library/json.html#json.dump
+
+ @since version 1.0.0
+ */
+ string_t dump(const int indent = -1) const
+ {
+ std::stringstream ss;
+ // fix locale problems
+ const static std::locale loc(std::locale(), new DecimalSeparator);
+ ss.imbue(loc);
+
+ // 6, 15 or 16 digits of precision allows round-trip IEEE 754
+ // string->float->string, string->double->string or string->long
+ // double->string; to be safe, we read this value from
+ // std::numeric_limits<number_float_t>::digits10
+ ss.precision(std::numeric_limits<double>::digits10);
+
+ if (indent >= 0)
+ {
+ dump(ss, true, static_cast<unsigned int>(indent));
+ }
+ else
+ {
+ dump(ss, false, 0);
+ }
+
+ return ss.str();
+ }
+
+ /*!
+ @brief return the type of the JSON value (explicit)
+
+ Return the type of the JSON value as a value from the @ref value_t
+ enumeration.
+
+ @return the type of the JSON value
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `type()` for all JSON
+ types.,type}
+
+ @since version 1.0.0
+ */
+ constexpr value_t type() const noexcept
+ {
+ return m_type;
+ }
+
+ /*!
+ @brief return whether type is primitive
+
+ This function returns true iff the JSON type is primitive (string, number,
+ boolean, or null).
+
+ @return `true` if type is primitive (string, number, boolean, or null),
+ `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_primitive()` for all JSON
+ types.,is_primitive}
+
+ @sa @ref is_structured() -- returns whether JSON value is structured
+ @sa @ref is_null() -- returns whether JSON value is `null`
+ @sa @ref is_string() -- returns whether JSON value is a string
+ @sa @ref is_boolean() -- returns whether JSON value is a boolean
+ @sa @ref is_number() -- returns whether JSON value is a number
+
+ @since version 1.0.0
+ */
+ constexpr bool is_primitive() const noexcept
+ {
+ return is_null() or is_string() or is_boolean() or is_number();
+ }
+
+ /*!
+ @brief return whether type is structured
+
+ This function returns true iff the JSON type is structured (array or
+ object).
+
+ @return `true` if type is structured (array or object), `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_structured()` for all JSON
+ types.,is_structured}
+
+ @sa @ref is_primitive() -- returns whether value is primitive
+ @sa @ref is_array() -- returns whether value is an array
+ @sa @ref is_object() -- returns whether value is an object
+
+ @since version 1.0.0
+ */
+ constexpr bool is_structured() const noexcept
+ {
+ return is_array() or is_object();
+ }
+
+ /*!
+ @brief return whether value is null
+
+ This function returns true iff the JSON value is null.
+
+ @return `true` if type is null, `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_null()` for all JSON
+ types.,is_null}
+
+ @since version 1.0.0
+ */
+ constexpr bool is_null() const noexcept
+ {
+ return m_type == value_t::null;
+ }
+
+ /*!
+ @brief return whether value is a boolean
+
+ This function returns true iff the JSON value is a boolean.
+
+ @return `true` if type is boolean, `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_boolean()` for all JSON
+ types.,is_boolean}
+
+ @since version 1.0.0
+ */
+ constexpr bool is_boolean() const noexcept
+ {
+ return m_type == value_t::boolean;
+ }
+
+ /*!
+ @brief return whether value is a number
+
+ This function returns true iff the JSON value is a number. This includes
+ both integer and floating-point values.
+
+ @return `true` if type is number (regardless whether integer, unsigned
+ integer or floating-type), `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_number()` for all JSON
+ types.,is_number}
+
+ @sa @ref is_number_integer() -- check if value is an integer or unsigned
+ integer number
+ @sa @ref is_number_unsigned() -- check if value is an unsigned integer
+ number
+ @sa @ref is_number_float() -- check if value is a floating-point number
+
+ @since version 1.0.0
+ */
+ constexpr bool is_number() const noexcept
+ {
+ return is_number_integer() or is_number_float();
+ }
+
+ /*!
+ @brief return whether value is an integer number
+
+ This function returns true iff the JSON value is an integer or unsigned
+ integer number. This excludes floating-point values.
+
+ @return `true` if type is an integer or unsigned integer number, `false`
+ otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_number_integer()` for all
+ JSON types.,is_number_integer}
+
+ @sa @ref is_number() -- check if value is a number
+ @sa @ref is_number_unsigned() -- check if value is an unsigned integer
+ number
+ @sa @ref is_number_float() -- check if value is a floating-point number
+
+ @since version 1.0.0
+ */
+ constexpr bool is_number_integer() const noexcept
+ {
+ return m_type == value_t::number_integer or m_type == value_t::number_unsigned;
+ }
+
+ /*!
+ @brief return whether value is an unsigned integer number
+
+ This function returns true iff the JSON value is an unsigned integer
+ number. This excludes floating-point and (signed) integer values.
+
+ @return `true` if type is an unsigned integer number, `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_number_unsigned()` for all
+ JSON types.,is_number_unsigned}
+
+ @sa @ref is_number() -- check if value is a number
+ @sa @ref is_number_integer() -- check if value is an integer or unsigned
+ integer number
+ @sa @ref is_number_float() -- check if value is a floating-point number
+
+ @since version 2.0.0
+ */
+ constexpr bool is_number_unsigned() const noexcept
+ {
+ return m_type == value_t::number_unsigned;
+ }
+
+ /*!
+ @brief return whether value is a floating-point number
+
+ This function returns true iff the JSON value is a floating-point number.
+ This excludes integer and unsigned integer values.
+
+ @return `true` if type is a floating-point number, `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_number_float()` for all
+ JSON types.,is_number_float}
+
+ @sa @ref is_number() -- check if value is number
+ @sa @ref is_number_integer() -- check if value is an integer number
+ @sa @ref is_number_unsigned() -- check if value is an unsigned integer
+ number
+
+ @since version 1.0.0
+ */
+ constexpr bool is_number_float() const noexcept
+ {
+ return m_type == value_t::number_float;
+ }
+
+ /*!
+ @brief return whether value is an object
+
+ This function returns true iff the JSON value is an object.
+
+ @return `true` if type is object, `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_object()` for all JSON
+ types.,is_object}
+
+ @since version 1.0.0
+ */
+ constexpr bool is_object() const noexcept
+ {
+ return m_type == value_t::object;
+ }
+
+ /*!
+ @brief return whether value is an array
+
+ This function returns true iff the JSON value is an array.
+
+ @return `true` if type is array, `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_array()` for all JSON
+ types.,is_array}
+
+ @since version 1.0.0
+ */
+ constexpr bool is_array() const noexcept
+ {
+ return m_type == value_t::array;
+ }
+
+ /*!
+ @brief return whether value is a string
+
+ This function returns true iff the JSON value is a string.
+
+ @return `true` if type is string, `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_string()` for all JSON
+ types.,is_string}
+
+ @since version 1.0.0
+ */
+ constexpr bool is_string() const noexcept
+ {
+ return m_type == value_t::string;
+ }
+
+ /*!
+ @brief return whether value is discarded
+
+ This function returns true iff the JSON value was discarded during parsing
+ with a callback function (see @ref parser_callback_t).
+
+ @note This function will always be `false` for JSON values after parsing.
+ That is, discarded values can only occur during parsing, but will be
+ removed when inside a structured value or replaced by null in other cases.
+
+ @return `true` if type is discarded, `false` otherwise.
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies `is_discarded()` for all JSON
+ types.,is_discarded}
+
+ @since version 1.0.0
+ */
+ constexpr bool is_discarded() const noexcept
+ {
+ return m_type == value_t::discarded;
+ }
+
+ /*!
+ @brief return the type of the JSON value (implicit)
+
+ Implicitly return the type of the JSON value as a value from the @ref
+ value_t enumeration.
+
+ @return the type of the JSON value
+
+ @complexity Constant.
+
+ @exceptionsafety No-throw guarantee: this member function never throws
+ exceptions.
+
+ @liveexample{The following code exemplifies the @ref value_t operator for
+ all JSON types.,operator__value_t}
+
+ @since version 1.0.0
+ */
+ constexpr operator value_t() const noexcept
+ {
+ return m_type;
+ }
+
+ /// @}
+
+ private:
+ //////////////////
+ // value access //
+ //////////////////
+
+ /// get an object (explicit)
+ template<class T, typename std::enable_if<
+ std::is_convertible<typename object_t::key_type, typename T::key_type>::value and
+ std::is_convertible<basic_json_t, typename T::mapped_type>::value, int>::type = 0>
+ T get_impl(T*) const
+ {
+ if (is_object())
+ {
+ return T(m_value.object->begin(), m_value.object->end());
+ }
+ else
+ {
+ throw std::domain_error("type must be object, but is " + type_name());
+ }
+ }
+
+ /// get an object (explicit)
+ object_t get_impl(object_t*) const
+ {
+ if (is_object())
+ {
+ return *(m_value.object);
+ }
+ else
+ {
+ throw std::domain_error("type must be object, but is " + type_name());
+ }
+ }
+
+ /// get an array (explicit)
+ template<class T, typename std::enable_if<
+ std::is_convertible<basic_json_t, typename T::value_type>::value and
+ not std::is_same<basic_json_t, typename T::value_type>::value and
+ not std::is_arithmetic<T>::value and
+ not std::is_convertible<std::string, T>::value and
+ not has_mapped_type<T>::value, int>::type = 0>
+ T get_impl(T*) const
+ {
+ if (is_array())
+ {
+ T to_vector;
+ std::transform(m_value.array->begin(), m_value.array->end(),
+ std::inserter(to_vector, to_vector.end()), [](basic_json i)
+ {
+ return i.get<typename T::value_type>();
+ });
+ return to_vector;
+ }
+ else
+ {
+ throw std::domain_error("type must be array, but is " + type_name());
+ }
+ }
+
+ /// get an array (explicit)
+ template<class T, typename std::enable_if<
+ std::is_convertible<basic_json_t, T>::value and
+ not std::is_same<basic_json_t, T>::value, int>::type = 0>
+ std::vector<T> get_impl(std::vector<T>*) const
+ {
+ if (is_array())
+ {
+ std::vector<T> to_vector;
+ to_vector.reserve(m_value.array->size());
+ std::transform(m_value.array->begin(), m_value.array->end(),
+ std::inserter(to_vector, to_vector.end()), [](basic_json i)
+ {
+ return i.get<T>();
+ });
+ return to_vector;
+ }
+ else
+ {
+ throw std::domain_error("type must be array, but is " + type_name());
+ }
+ }
+
+ /// get an array (explicit)
+ template<class T, typename std::enable_if<
+ std::is_same<basic_json, typename T::value_type>::value and
+ not has_mapped_type<T>::value, int>::type = 0>
+ T get_impl(T*) const
+ {
+ if (is_array())
+ {
+ return T(m_value.array->begin(), m_value.array->end());
+ }
+ else
+ {
+ throw std::domain_error("type must be array, but is " + type_name());
+ }
+ }
+
+ /// get an array (explicit)
+ array_t get_impl(array_t*) const
+ {
+ if (is_array())
+ {
+ return *(m_value.array);
+ }
+ else
+ {
+ throw std::domain_error("type must be array, but is " + type_name());
+ }
+ }
+
+ /// get a string (explicit)
+ template<typename T, typename std::enable_if<
+ std::is_convertible<string_t, T>::value, int>::type = 0>
+ T get_impl(T*) const
+ {
+ if (is_string())
+ {
+ return *m_value.string;
+ }
+ else
+ {
+ throw std::domain_error("type must be string, but is " + type_name());
+ }
+ }
+
+ /// get a number (explicit)
+ template<typename T, typename std::enable_if<
+ std::is_arithmetic<T>::value, int>::type = 0>
+ T get_impl(T*) const
+ {
+ switch (m_type)
+ {
+ case value_t::number_integer:
+ {
+ return static_cast<T>(m_value.number_integer);
+ }
+
+ case value_t::number_unsigned:
+ {
+ return static_cast<T>(m_value.number_unsigned);
+ }
+
+ case value_t::number_float:
+ {
+ return static_cast<T>(m_value.number_float);
+ }
+
+ default:
+ {
+ throw std::domain_error("type must be number, but is " + type_name());
+ }
+ }
+ }
+
+ /// get a boolean (explicit)
+ constexpr boolean_t get_impl(boolean_t*) const
+ {
+ return is_boolean()
+ ? m_value.boolean
+ : throw std::domain_error("type must be boolean, but is " + type_name());
+ }
+
+ /// get a pointer to the value (object)
+ object_t* get_impl_ptr(object_t*) noexcept
+ {
+ return is_object() ? m_value.object : nullptr;
+ }
+
+ /// get a pointer to the value (object)
+ constexpr const object_t* get_impl_ptr(const object_t*) const noexcept
+ {
+ return is_object() ? m_value.object : nullptr;
+ }
+
+ /// get a pointer to the value (array)
+ array_t* get_impl_ptr(array_t*) noexcept
+ {
+ return is_array() ? m_value.array : nullptr;
+ }
+
+ /// get a pointer to the value (array)
+ constexpr const array_t* get_impl_ptr(const array_t*) const noexcept
+ {
+ return is_array() ? m_value.array : nullptr;
+ }
+
+ /// get a pointer to the value (string)
+ string_t* get_impl_ptr(string_t*) noexcept
+ {
+ return is_string() ? m_value.string : nullptr;
+ }
+
+ /// get a pointer to the value (string)
+ constexpr const string_t* get_impl_ptr(const string_t*) const noexcept
+ {
+ return is_string() ? m_value.string : nullptr;
+ }
+
+ /// get a pointer to the value (boolean)
+ boolean_t* get_impl_ptr(boolean_t*) noexcept
+ {
+ return is_boolean() ? &m_value.boolean : nullptr;
+ }
+
+ /// get a pointer to the value (boolean)
+ constexpr const boolean_t* get_impl_ptr(const boolean_t*) const noexcept
+ {
+ return is_boolean() ? &m_value.boolean : nullptr;
+ }
+
+ /// get a pointer to the value (integer number)
+ number_integer_t* get_impl_ptr(number_integer_t*) noexcept
+ {
+ return is_number_integer() ? &m_value.number_integer : nullptr;
+ }
+
+ /// get a pointer to the value (integer number)
+ constexpr const number_integer_t* get_impl_ptr(const number_integer_t*) const noexcept
+ {
+ return is_number_integer() ? &m_value.number_integer : nullptr;
+ }
+
+ /// get a pointer to the value (unsigned number)
+ number_unsigned_t* get_impl_ptr(number_unsigned_t*) noexcept
+ {
+ return is_number_unsigned() ? &m_value.number_unsigned : nullptr;
+ }
+
+ /// get a pointer to the value (unsigned number)
+ constexpr const number_unsigned_t* get_impl_ptr(const number_unsigned_t*) const noexcept
+ {
+ return is_number_unsigned() ? &m_value.number_unsigned : nullptr;
+ }
+
+ /// get a pointer to the value (floating-point number)
+ number_float_t* get_impl_ptr(number_float_t*) noexcept
+ {
+ return is_number_float() ? &m_value.number_float : nullptr;
+ }
+
+ /// get a pointer to the value (floating-point number)
+ constexpr const number_float_t* get_impl_ptr(const number_float_t*) const noexcept
+ {
+ return is_number_float() ? &m_value.number_float : nullptr;
+ }
+
+ /*!
+ @brief helper function to implement get_ref()
+
+ This funcion helps to implement get_ref() without code duplication for
+ const and non-const overloads
+
+ @tparam ThisType will be deduced as `basic_json` or `const basic_json`
+
+ @throw std::domain_error if ReferenceType does not match underlying value
+ type of the current JSON
+ */
+ template<typename ReferenceType, typename ThisType>
+ static ReferenceType get_ref_impl(ThisType& obj)
+ {
+ // helper type
+ using PointerType = typename std::add_pointer<ReferenceType>::type;
+
+ // delegate the call to get_ptr<>()
+ auto ptr = obj.template get_ptr<PointerType>();
+
+ if (ptr != nullptr)
+ {
+ return *ptr;
+ }
+ else
+ {
+ throw std::domain_error("incompatible ReferenceType for get_ref, actual type is " +
+ obj.type_name());
+ }
+ }
+
+ public:
+
+ /// @name value access
+ /// Direct access to the stored value of a JSON value.
+ /// @{
+
+ /*!
+ @brief get a value (explicit)
+
+ Explicit type conversion between the JSON value and a compatible value.
+
+ @tparam ValueType non-pointer type compatible to the JSON value, for
+ instance `int` for JSON integer numbers, `bool` for JSON booleans, or
+ `std::vector` types for JSON arrays
+
+ @return copy of the JSON value, converted to type @a ValueType
+
+ @throw std::domain_error in case passed type @a ValueType is incompatible
+ to JSON; example: `"type must be object, but is null"`
+
+ @complexity Linear in the size of the JSON value.
+
+ @liveexample{The example below shows several conversions from JSON values
+ to other types. There a few things to note: (1) Floating-point numbers can
+ be converted to integers\, (2) A JSON array can be converted to a standard
+ `std::vector<short>`\, (3) A JSON object can be converted to C++
+ associative containers such as `std::unordered_map<std::string\,
+ json>`.,get__ValueType_const}
+
+ @internal
+ The idea of using a casted null pointer to choose the correct
+ implementation is from <http://stackoverflow.com/a/8315197/266378>.
+ @endinternal
+
+ @sa @ref operator ValueType() const for implicit conversion
+ @sa @ref get() for pointer-member access
+
+ @since version 1.0.0
+ */
+ template<typename ValueType, typename std::enable_if<
+ not std::is_pointer<ValueType>::value, int>::type = 0>
+ ValueType get() const
+ {
+ return get_impl(static_cast<ValueType*>(nullptr));
+ }
+
+ /*!
+ @brief get a pointer value (explicit)
+
+ Explicit pointer access to the internally stored JSON value. No copies are
+ made.
+
+ @warning The pointer becomes invalid if the underlying JSON object
+ changes.
+
+ @tparam PointerType pointer type; must be a pointer to @ref array_t, @ref
+ object_t, @ref string_t, @ref boolean_t, @ref number_integer_t,
+ @ref number_unsigned_t, or @ref number_float_t.
+
+ @return pointer to the internally stored JSON value if the requested
+ pointer type @a PointerType fits to the JSON value; `nullptr` otherwise
+
+ @complexity Constant.
+
+ @liveexample{The example below shows how pointers to internal values of a
+ JSON value can be requested. Note that no type conversions are made and a
+ `nullptr` is returned if the value and the requested pointer type does not
+ match.,get__PointerType}
+
+ @sa @ref get_ptr() for explicit pointer-member access
+
+ @since version 1.0.0
+ */
+ template<typename PointerType, typename std::enable_if<
+ std::is_pointer<PointerType>::value, int>::type = 0>
+ PointerType get() noexcept
+ {
+ // delegate the call to get_ptr
+ return get_ptr<PointerType>();
+ }
+
+ /*!
+ @brief get a pointer value (explicit)
+ @copydoc get()
+ */
+ template<typename PointerType, typename std::enable_if<
+ std::is_pointer<PointerType>::value, int>::type = 0>
+ constexpr const PointerType get() const noexcept
+ {
+ // delegate the call to get_ptr
+ return get_ptr<PointerType>();
+ }
+
+ /*!
+ @brief get a pointer value (implicit)
+
+ Implicit pointer access to the internally stored JSON value. No copies are
+ made.
+
+ @warning Writing data to the pointee of the result yields an undefined
+ state.
+
+ @tparam PointerType pointer type; must be a pointer to @ref array_t, @ref
+ object_t, @ref string_t, @ref boolean_t, @ref number_integer_t,
+ @ref number_unsigned_t, or @ref number_float_t. Enforced by a static
+ assertion.
+
+ @return pointer to the internally stored JSON value if the requested
+ pointer type @a PointerType fits to the JSON value; `nullptr` otherwise
+
+ @complexity Constant.
+
+ @liveexample{The example below shows how pointers to internal values of a
+ JSON value can be requested. Note that no type conversions are made and a
+ `nullptr` is returned if the value and the requested pointer type does not
+ match.,get_ptr}
+
+ @since version 1.0.0
+ */
+ template<typename PointerType, typename std::enable_if<
+ std::is_pointer<PointerType>::value, int>::type = 0>
+ PointerType get_ptr() noexcept
+ {
+ // get the type of the PointerType (remove pointer and const)
+ using pointee_t = typename std::remove_const<typename
+ std::remove_pointer<typename
+ std::remove_const<PointerType>::type>::type>::type;
+ // make sure the type matches the allowed types
+ static_assert(
+ std::is_same<object_t, pointee_t>::value
+ or std::is_same<array_t, pointee_t>::value
+ or std::is_same<string_t, pointee_t>::value
+ or std::is_same<boolean_t, pointee_t>::value
+ or std::is_same<number_integer_t, pointee_t>::value
+ or std::is_same<number_unsigned_t, pointee_t>::value
+ or std::is_same<number_float_t, pointee_t>::value
+ , "incompatible pointer type");
+
+ // delegate the call to get_impl_ptr<>()
+ return get_impl_ptr(static_cast<PointerType>(nullptr));
+ }
+
+ /*!
+ @brief get a pointer value (implicit)
+ @copydoc get_ptr()
+ */
+ template<typename PointerType, typename std::enable_if<
+ std::is_pointer<PointerType>::value and
+ std::is_const<typename std::remove_pointer<PointerType>::type>::value, int>::type = 0>
+ constexpr const PointerType get_ptr() const noexcept
+ {
+ // get the type of the PointerType (remove pointer and const)
+ using pointee_t = typename std::remove_const<typename
+ std::remove_pointer<typename
+ std::remove_const<PointerType>::type>::type>::type;
+ // make sure the type matches the allowed types
+ static_assert(
+ std::is_same<object_t, pointee_t>::value
+ or std::is_same<array_t, pointee_t>::value
+ or std::is_same<string_t, pointee_t>::value
+ or std::is_same<boolean_t, pointee_t>::value
+ or std::is_same<number_integer_t, pointee_t>::value
+ or std::is_same<number_unsigned_t, pointee_t>::value
+ or std::is_same<number_float_t, pointee_t>::value
+ , "incompatible pointer type");
+
+ // delegate the call to get_impl_ptr<>() const
+ return get_impl_ptr(static_cast<const PointerType>(nullptr));
+ }
+
+ /*!
+ @brief get a reference value (implicit)
+
+ Implict reference access to the internally stored JSON value. No copies
+ are made.
+
+ @warning Writing data to the referee of the result yields an undefined
+ state.
+
+ @tparam ReferenceType reference type; must be a reference to @ref array_t,
+ @ref object_t, @ref string_t, @ref boolean_t, @ref number_integer_t, or
+ @ref number_float_t. Enforced by static assertion.
+
+ @return reference to the internally stored JSON value if the requested
+ reference type @a ReferenceType fits to the JSON value; throws
+ std::domain_error otherwise
+
+ @throw std::domain_error in case passed type @a ReferenceType is
+ incompatible with the stored JSON value
+
+ @complexity Constant.
+
+ @liveexample{The example shows several calls to `get_ref()`.,get_ref}
+
+ @since version 1.1.0
+ */
+ template<typename ReferenceType, typename std::enable_if<
+ std::is_reference<ReferenceType>::value, int>::type = 0>
+ ReferenceType get_ref()
+ {
+ // delegate call to get_ref_impl
+ return get_ref_impl<ReferenceType>(*this);
+ }
+
+ /*!
+ @brief get a reference value (implicit)
+ @copydoc get_ref()
+ */
+ template<typename ReferenceType, typename std::enable_if<
+ std::is_reference<ReferenceType>::value and
+ std::is_const<typename std::remove_reference<ReferenceType>::type>::value, int>::type = 0>
+ ReferenceType get_ref() const
+ {
+ // delegate call to get_ref_impl
+ return get_ref_impl<ReferenceType>(*this);
+ }
+
+ /*!
+ @brief get a value (implicit)
+
+ Implicit type conversion between the JSON value and a compatible value.
+ The call is realized by calling @ref get() const.
+
+ @tparam ValueType non-pointer type compatible to the JSON value, for
+ instance `int` for JSON integer numbers, `bool` for JSON booleans, or
+ `std::vector` types for JSON arrays. The character type of @ref string_t
+ as well as an initializer list of this type is excluded to avoid
+ ambiguities as these types implicitly convert to `std::string`.
+
+ @return copy of the JSON value, converted to type @a ValueType
+
+ @throw std::domain_error in case passed type @a ValueType is incompatible
+ to JSON, thrown by @ref get() const
+
+ @complexity Linear in the size of the JSON value.
+
+ @liveexample{The example below shows several conversions from JSON values
+ to other types. There a few things to note: (1) Floating-point numbers can
+ be converted to integers\, (2) A JSON array can be converted to a standard
+ `std::vector<short>`\, (3) A JSON object can be converted to C++
+ associative containers such as `std::unordered_map<std::string\,
+ json>`.,operator__ValueType}
+
+ @since version 1.0.0
+ */
+ template < typename ValueType, typename std::enable_if <
+ not std::is_pointer<ValueType>::value and
+ not std::is_same<ValueType, typename string_t::value_type>::value
+#ifndef _MSC_VER // Fix for issue #167 operator<< abiguity under VS2015
+ and not std::is_same<ValueType, std::initializer_list<typename string_t::value_type>>::value
+#endif
+ , int >::type = 0 >
+ operator ValueType() const
+ {
+ // delegate the call to get<>() const
+ return get<ValueType>();
+ }
+
+ /// @}
+
+
+ ////////////////////
+ // element access //
+ ////////////////////
+
+ /// @name element access
+ /// Access to the JSON value.
+ /// @{
+
+ /*!
+ @brief access specified array element with bounds checking
+
+ Returns a reference to the element at specified location @a idx, with
+ bounds checking.
+
+ @param[in] idx index of the element to access
+
+ @return reference to the element at index @a idx
+
+ @throw std::domain_error if the JSON value is not an array; example:
+ `"cannot use at() with string"`
+ @throw std::out_of_range if the index @a idx is out of range of the array;
+ that is, `idx >= size()`; example: `"array index 7 is out of range"`
+
+ @complexity Constant.
+
+ @liveexample{The example below shows how array elements can be read and
+ written using `at()`.,at__size_type}
+
+ @since version 1.0.0
+ */
+ reference at(size_type idx)
+ {
+ // at only works for arrays
+ if (is_array())
+ {
+ try
+ {
+ return m_value.array->at(idx);
+ }
+ catch (std::out_of_range&)
+ {
+ // create better exception explanation
+ throw std::out_of_range("array index " + std::to_string(idx) + " is out of range");
+ }
+ }
+ else
+ {
+ throw std::domain_error("cannot use at() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief access specified array element with bounds checking
+
+ Returns a const reference to the element at specified location @a idx,
+ with bounds checking.
+
+ @param[in] idx index of the element to access
+
+ @return const reference to the element at index @a idx
+
+ @throw std::domain_error if the JSON value is not an array; example:
+ `"cannot use at() with string"`
+ @throw std::out_of_range if the index @a idx is out of range of the array;
+ that is, `idx >= size()`; example: `"array index 7 is out of range"`
+
+ @complexity Constant.
+
+ @liveexample{The example below shows how array elements can be read using
+ `at()`.,at__size_type_const}
+
+ @since version 1.0.0
+ */
+ const_reference at(size_type idx) const
+ {
+ // at only works for arrays
+ if (is_array())
+ {
+ try
+ {
+ return m_value.array->at(idx);
+ }
+ catch (std::out_of_range&)
+ {
+ // create better exception explanation
+ throw std::out_of_range("array index " + std::to_string(idx) + " is out of range");
+ }
+ }
+ else
+ {
+ throw std::domain_error("cannot use at() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief access specified object element with bounds checking
+
+ Returns a reference to the element at with specified key @a key, with
+ bounds checking.
+
+ @param[in] key key of the element to access
+
+ @return reference to the element at key @a key
+
+ @throw std::domain_error if the JSON value is not an object; example:
+ `"cannot use at() with boolean"`
+ @throw std::out_of_range if the key @a key is is not stored in the object;
+ that is, `find(key) == end()`; example: `"key "the fast" not found"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be read and
+ written using `at()`.,at__object_t_key_type}
+
+ @sa @ref operator[](const typename object_t::key_type&) for unchecked
+ access by reference
+ @sa @ref value() for access by value with a default value
+
+ @since version 1.0.0
+ */
+ reference at(const typename object_t::key_type& key)
+ {
+ // at only works for objects
+ if (is_object())
+ {
+ try
+ {
+ return m_value.object->at(key);
+ }
+ catch (std::out_of_range&)
+ {
+ // create better exception explanation
+ throw std::out_of_range("key '" + key + "' not found");
+ }
+ }
+ else
+ {
+ throw std::domain_error("cannot use at() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief access specified object element with bounds checking
+
+ Returns a const reference to the element at with specified key @a key,
+ with bounds checking.
+
+ @param[in] key key of the element to access
+
+ @return const reference to the element at key @a key
+
+ @throw std::domain_error if the JSON value is not an object; example:
+ `"cannot use at() with boolean"`
+ @throw std::out_of_range if the key @a key is is not stored in the object;
+ that is, `find(key) == end()`; example: `"key "the fast" not found"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be read using
+ `at()`.,at__object_t_key_type_const}
+
+ @sa @ref operator[](const typename object_t::key_type&) for unchecked
+ access by reference
+ @sa @ref value() for access by value with a default value
+
+ @since version 1.0.0
+ */
+ const_reference at(const typename object_t::key_type& key) const
+ {
+ // at only works for objects
+ if (is_object())
+ {
+ try
+ {
+ return m_value.object->at(key);
+ }
+ catch (std::out_of_range&)
+ {
+ // create better exception explanation
+ throw std::out_of_range("key '" + key + "' not found");
+ }
+ }
+ else
+ {
+ throw std::domain_error("cannot use at() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief access specified array element
+
+ Returns a reference to the element at specified location @a idx.
+
+ @note If @a idx is beyond the range of the array (i.e., `idx >= size()`),
+ then the array is silently filled up with `null` values to make `idx` a
+ valid reference to the last stored element.
+
+ @param[in] idx index of the element to access
+
+ @return reference to the element at index @a idx
+
+ @throw std::domain_error if JSON is not an array or null; example:
+ `"cannot use operator[] with string"`
+
+ @complexity Constant if @a idx is in the range of the array. Otherwise
+ linear in `idx - size()`.
+
+ @liveexample{The example below shows how array elements can be read and
+ written using `[]` operator. Note the addition of `null`
+ values.,operatorarray__size_type}
+
+ @since version 1.0.0
+ */
+ reference operator[](size_type idx)
+ {
+ // implicitly convert null value to an empty array
+ if (is_null())
+ {
+ m_type = value_t::array;
+ m_value.array = create<array_t>();
+ assert_invariant();
+ }
+
+ // operator[] only works for arrays
+ if (is_array())
+ {
+ // fill up array with null values if given idx is outside range
+ if (idx >= m_value.array->size())
+ {
+ m_value.array->insert(m_value.array->end(),
+ idx - m_value.array->size() + 1,
+ basic_json());
+ }
+
+ return m_value.array->operator[](idx);
+ }
+ else
+ {
+ throw std::domain_error("cannot use operator[] with " + type_name());
+ }
+ }
+
+ /*!
+ @brief access specified array element
+
+ Returns a const reference to the element at specified location @a idx.
+
+ @param[in] idx index of the element to access
+
+ @return const reference to the element at index @a idx
+
+ @throw std::domain_error if JSON is not an array; example: `"cannot use
+ operator[] with null"`
+
+ @complexity Constant.
+
+ @liveexample{The example below shows how array elements can be read using
+ the `[]` operator.,operatorarray__size_type_const}
+
+ @since version 1.0.0
+ */
+ const_reference operator[](size_type idx) const
+ {
+ // const operator[] only works for arrays
+ if (is_array())
+ {
+ return m_value.array->operator[](idx);
+ }
+ else
+ {
+ throw std::domain_error("cannot use operator[] with " + type_name());
+ }
+ }
+
+ /*!
+ @brief access specified object element
+
+ Returns a reference to the element at with specified key @a key.
+
+ @note If @a key is not found in the object, then it is silently added to
+ the object and filled with a `null` value to make `key` a valid reference.
+ In case the value was `null` before, it is converted to an object.
+
+ @param[in] key key of the element to access
+
+ @return reference to the element at key @a key
+
+ @throw std::domain_error if JSON is not an object or null; example:
+ `"cannot use operator[] with string"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be read and
+ written using the `[]` operator.,operatorarray__key_type}
+
+ @sa @ref at(const typename object_t::key_type&) for access by reference
+ with range checking
+ @sa @ref value() for access by value with a default value
+
+ @since version 1.0.0
+ */
+ reference operator[](const typename object_t::key_type& key)
+ {
+ // implicitly convert null value to an empty object
+ if (is_null())
+ {
+ m_type = value_t::object;
+ m_value.object = create<object_t>();
+ assert_invariant();
+ }
+
+ // operator[] only works for objects
+ if (is_object())
+ {
+ return m_value.object->operator[](key);
+ }
+ else
+ {
+ throw std::domain_error("cannot use operator[] with " + type_name());
+ }
+ }
+
+ /*!
+ @brief read-only access specified object element
+
+ Returns a const reference to the element at with specified key @a key. No
+ bounds checking is performed.
+
+ @warning If the element with key @a key does not exist, the behavior is
+ undefined.
+
+ @param[in] key key of the element to access
+
+ @return const reference to the element at key @a key
+
+ @pre The element with key @a key must exist. **This precondition is
+ enforced with an assertion.**
+
+ @throw std::domain_error if JSON is not an object; example: `"cannot use
+ operator[] with null"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be read using
+ the `[]` operator.,operatorarray__key_type_const}
+
+ @sa @ref at(const typename object_t::key_type&) for access by reference
+ with range checking
+ @sa @ref value() for access by value with a default value
+
+ @since version 1.0.0
+ */
+ const_reference operator[](const typename object_t::key_type& key) const
+ {
+ // const operator[] only works for objects
+ if (is_object())
+ {
+ assert(m_value.object->find(key) != m_value.object->end());
+ return m_value.object->find(key)->second;
+ }
+ else
+ {
+ throw std::domain_error("cannot use operator[] with " + type_name());
+ }
+ }
+
+ /*!
+ @brief access specified object element
+
+ Returns a reference to the element at with specified key @a key.
+
+ @note If @a key is not found in the object, then it is silently added to
+ the object and filled with a `null` value to make `key` a valid reference.
+ In case the value was `null` before, it is converted to an object.
+
+ @param[in] key key of the element to access
+
+ @return reference to the element at key @a key
+
+ @throw std::domain_error if JSON is not an object or null; example:
+ `"cannot use operator[] with string"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be read and
+ written using the `[]` operator.,operatorarray__key_type}
+
+ @sa @ref at(const typename object_t::key_type&) for access by reference
+ with range checking
+ @sa @ref value() for access by value with a default value
+
+ @since version 1.0.0
+ */
+ template<typename T, std::size_t n>
+ reference operator[](T * (&key)[n])
+ {
+ return operator[](static_cast<const T>(key));
+ }
+
+ /*!
+ @brief read-only access specified object element
+
+ Returns a const reference to the element at with specified key @a key. No
+ bounds checking is performed.
+
+ @warning If the element with key @a key does not exist, the behavior is
+ undefined.
+
+ @note This function is required for compatibility reasons with Clang.
+
+ @param[in] key key of the element to access
+
+ @return const reference to the element at key @a key
+
+ @throw std::domain_error if JSON is not an object; example: `"cannot use
+ operator[] with null"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be read using
+ the `[]` operator.,operatorarray__key_type_const}
+
+ @sa @ref at(const typename object_t::key_type&) for access by reference
+ with range checking
+ @sa @ref value() for access by value with a default value
+
+ @since version 1.0.0
+ */
+ template<typename T, std::size_t n>
+ const_reference operator[](T * (&key)[n]) const
+ {
+ return operator[](static_cast<const T>(key));
+ }
+
+ /*!
+ @brief access specified object element
+
+ Returns a reference to the element at with specified key @a key.
+
+ @note If @a key is not found in the object, then it is silently added to
+ the object and filled with a `null` value to make `key` a valid reference.
+ In case the value was `null` before, it is converted to an object.
+
+ @param[in] key key of the element to access
+
+ @return reference to the element at key @a key
+
+ @throw std::domain_error if JSON is not an object or null; example:
+ `"cannot use operator[] with string"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be read and
+ written using the `[]` operator.,operatorarray__key_type}
+
+ @sa @ref at(const typename object_t::key_type&) for access by reference
+ with range checking
+ @sa @ref value() for access by value with a default value
+
+ @since version 1.1.0
+ */
+ template<typename T>
+ reference operator[](T* key)
+ {
+ // implicitly convert null to object
+ if (is_null())
+ {
+ m_type = value_t::object;
+ m_value = value_t::object;
+ assert_invariant();
+ }
+
+ // at only works for objects
+ if (is_object())
+ {
+ return m_value.object->operator[](key);
+ }
+ else
+ {
+ throw std::domain_error("cannot use operator[] with " + type_name());
+ }
+ }
+
+ /*!
+ @brief read-only access specified object element
+
+ Returns a const reference to the element at with specified key @a key. No
+ bounds checking is performed.
+
+ @warning If the element with key @a key does not exist, the behavior is
+ undefined.
+
+ @param[in] key key of the element to access
+
+ @return const reference to the element at key @a key
+
+ @pre The element with key @a key must exist. **This precondition is
+ enforced with an assertion.**
+
+ @throw std::domain_error if JSON is not an object; example: `"cannot use
+ operator[] with null"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be read using
+ the `[]` operator.,operatorarray__key_type_const}
+
+ @sa @ref at(const typename object_t::key_type&) for access by reference
+ with range checking
+ @sa @ref value() for access by value with a default value
+
+ @since version 1.1.0
+ */
+ template<typename T>
+ const_reference operator[](T* key) const
+ {
+ // at only works for objects
+ if (is_object())
+ {
+ assert(m_value.object->find(key) != m_value.object->end());
+ return m_value.object->find(key)->second;
+ }
+ else
+ {
+ throw std::domain_error("cannot use operator[] with " + type_name());
+ }
+ }
+
+ /*!
+ @brief access specified object element with default value
+
+ Returns either a copy of an object's element at the specified key @a key
+ or a given default value if no element with key @a key exists.
+
+ The function is basically equivalent to executing
+ @code {.cpp}
+ try {
+ return at(key);
+ } catch(std::out_of_range) {
+ return default_value;
+ }
+ @endcode
+
+ @note Unlike @ref at(const typename object_t::key_type&), this function
+ does not throw if the given key @a key was not found.
+
+ @note Unlike @ref operator[](const typename object_t::key_type& key), this
+ function does not implicitly add an element to the position defined by @a
+ key. This function is furthermore also applicable to const objects.
+
+ @param[in] key key of the element to access
+ @param[in] default_value the value to return if @a key is not found
+
+ @tparam ValueType type compatible to JSON values, for instance `int` for
+ JSON integer numbers, `bool` for JSON booleans, or `std::vector` types for
+ JSON arrays. Note the type of the expected value at @a key and the default
+ value @a default_value must be compatible.
+
+ @return copy of the element at key @a key or @a default_value if @a key
+ is not found
+
+ @throw std::domain_error if JSON is not an object; example: `"cannot use
+ value() with null"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be queried
+ with a default value.,basic_json__value}
+
+ @sa @ref at(const typename object_t::key_type&) for access by reference
+ with range checking
+ @sa @ref operator[](const typename object_t::key_type&) for unchecked
+ access by reference
+
+ @since version 1.0.0
+ */
+ template<class ValueType, typename std::enable_if<
+ std::is_convertible<basic_json_t, ValueType>::value, int>::type = 0>
+ ValueType value(const typename object_t::key_type& key, ValueType default_value) const
+ {
+ // at only works for objects
+ if (is_object())
+ {
+ // if key is found, return value and given default value otherwise
+ const auto it = find(key);
+ if (it != end())
+ {
+ return *it;
+ }
+ else
+ {
+ return default_value;
+ }
+ }
+ else
+ {
+ throw std::domain_error("cannot use value() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief overload for a default value of type const char*
+ @copydoc basic_json::value(const typename object_t::key_type&, ValueType) const
+ */
+ string_t value(const typename object_t::key_type& key, const char* default_value) const
+ {
+ return value(key, string_t(default_value));
+ }
+
+ /*!
+ @brief access specified object element via JSON Pointer with default value
+
+ Returns either a copy of an object's element at the specified key @a key
+ or a given default value if no element with key @a key exists.
+
+ The function is basically equivalent to executing
+ @code {.cpp}
+ try {
+ return at(ptr);
+ } catch(std::out_of_range) {
+ return default_value;
+ }
+ @endcode
+
+ @note Unlike @ref at(const json_pointer&), this function does not throw
+ if the given key @a key was not found.
+
+ @param[in] ptr a JSON pointer to the element to access
+ @param[in] default_value the value to return if @a ptr found no value
+
+ @tparam ValueType type compatible to JSON values, for instance `int` for
+ JSON integer numbers, `bool` for JSON booleans, or `std::vector` types for
+ JSON arrays. Note the type of the expected value at @a key and the default
+ value @a default_value must be compatible.
+
+ @return copy of the element at key @a key or @a default_value if @a key
+ is not found
+
+ @throw std::domain_error if JSON is not an object; example: `"cannot use
+ value() with null"`
+
+ @complexity Logarithmic in the size of the container.
+
+ @liveexample{The example below shows how object elements can be queried
+ with a default value.,basic_json__value_ptr}
+
+ @sa @ref operator[](const json_pointer&) for unchecked access by reference
+
+ @since version 2.0.2
+ */
+ template<class ValueType, typename std::enable_if<
+ std::is_convertible<basic_json_t, ValueType>::value, int>::type = 0>
+ ValueType value(const json_pointer& ptr, ValueType default_value) const
+ {
+ // at only works for objects
+ if (is_object())
+ {
+ // if pointer resolves a value, return it or use default value
+ try
+ {
+ return ptr.get_checked(this);
+ }
+ catch (std::out_of_range&)
+ {
+ return default_value;
+ }
+ }
+ else
+ {
+ throw std::domain_error("cannot use value() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief overload for a default value of type const char*
+ @copydoc basic_json::value(const json_pointer&, ValueType) const
+ */
+ string_t value(const json_pointer& ptr, const char* default_value) const
+ {
+ return value(ptr, string_t(default_value));
+ }
+
+ /*!
+ @brief access the first element
+
+ Returns a reference to the first element in the container. For a JSON
+ container `c`, the expression `c.front()` is equivalent to `*c.begin()`.
+
+ @return In case of a structured type (array or object), a reference to the
+ first element is returned. In cast of number, string, or boolean values, a
+ reference to the value is returned.
+
+ @complexity Constant.
+
+ @pre The JSON value must not be `null` (would throw `std::out_of_range`)
+ or an empty array or object (undefined behavior, **guarded by
+ assertions**).
+ @post The JSON value remains unchanged.
+
+ @throw std::out_of_range when called on `null` value
+
+ @liveexample{The following code shows an example for `front()`.,front}
+
+ @sa @ref back() -- access the last element
+
+ @since version 1.0.0
+ */
+ reference front()
+ {
+ return *begin();
+ }
+
+ /*!
+ @copydoc basic_json::front()
+ */
+ const_reference front() const
+ {
+ return *cbegin();
+ }
+
+ /*!
+ @brief access the last element
+
+ Returns a reference to the last element in the container. For a JSON
+ container `c`, the expression `c.back()` is equivalent to
+ @code {.cpp}
+ auto tmp = c.end();
+ --tmp;
+ return *tmp;
+ @endcode
+
+ @return In case of a structured type (array or object), a reference to the
+ last element is returned. In cast of number, string, or boolean values, a
+ reference to the value is returned.
+
+ @complexity Constant.
+
+ @pre The JSON value must not be `null` (would throw `std::out_of_range`)
+ or an empty array or object (undefined behavior, **guarded by
+ assertions**).
+ @post The JSON value remains unchanged.
+
+ @throw std::out_of_range when called on `null` value.
+
+ @liveexample{The following code shows an example for `back()`.,back}
+
+ @sa @ref front() -- access the first element
+
+ @since version 1.0.0
+ */
+ reference back()
+ {
+ auto tmp = end();
+ --tmp;
+ return *tmp;
+ }
+
+ /*!
+ @copydoc basic_json::back()
+ */
+ const_reference back() const
+ {
+ auto tmp = cend();
+ --tmp;
+ return *tmp;
+ }
+
+ /*!
+ @brief remove element given an iterator
+
+ Removes the element specified by iterator @a pos. The iterator @a pos must
+ be valid and dereferenceable. Thus the `end()` iterator (which is valid,
+ but is not dereferenceable) cannot be used as a value for @a pos.
+
+ If called on a primitive type other than `null`, the resulting JSON value
+ will be `null`.
+
+ @param[in] pos iterator to the element to remove
+ @return Iterator following the last removed element. If the iterator @a
+ pos refers to the last element, the `end()` iterator is returned.
+
+ @tparam IteratorType an @ref iterator or @ref const_iterator
+
+ @post Invalidates iterators and references at or after the point of the
+ erase, including the `end()` iterator.
+
+ @throw std::domain_error if called on a `null` value; example: `"cannot
+ use erase() with null"`
+ @throw std::domain_error if called on an iterator which does not belong to
+ the current JSON value; example: `"iterator does not fit current value"`
+ @throw std::out_of_range if called on a primitive type with invalid
+ iterator (i.e., any iterator which is not `begin()`); example: `"iterator
+ out of range"`
+
+ @complexity The complexity depends on the type:
+ - objects: amortized constant
+ - arrays: linear in distance between pos and the end of the container
+ - strings: linear in the length of the string
+ - other types: constant
+
+ @liveexample{The example shows the result of `erase()` for different JSON
+ types.,erase__IteratorType}
+
+ @sa @ref erase(IteratorType, IteratorType) -- removes the elements in
+ the given range
+ @sa @ref erase(const typename object_t::key_type&) -- removes the element
+ from an object at the given key
+ @sa @ref erase(const size_type) -- removes the element from an array at
+ the given index
+
+ @since version 1.0.0
+ */
+ template<class IteratorType, typename std::enable_if<
+ std::is_same<IteratorType, typename basic_json_t::iterator>::value or
+ std::is_same<IteratorType, typename basic_json_t::const_iterator>::value, int>::type
+ = 0>
+ IteratorType erase(IteratorType pos)
+ {
+ // make sure iterator fits the current value
+ if (this != pos.m_object)
+ {
+ throw std::domain_error("iterator does not fit current value");
+ }
+
+ IteratorType result = end();
+
+ switch (m_type)
+ {
+ case value_t::boolean:
+ case value_t::number_float:
+ case value_t::number_integer:
+ case value_t::number_unsigned:
+ case value_t::string:
+ {
+ if (not pos.m_it.primitive_iterator.is_begin())
+ {
+ throw std::out_of_range("iterator out of range");
+ }
+
+ if (is_string())
+ {
+ AllocatorType<string_t> alloc;
+ alloc.destroy(m_value.string);
+ alloc.deallocate(m_value.string, 1);
+ m_value.string = nullptr;
+ }
+
+ m_type = value_t::null;
+ assert_invariant();
+ break;
+ }
+
+ case value_t::object:
+ {
+ result.m_it.object_iterator = m_value.object->erase(pos.m_it.object_iterator);
+ break;
+ }
+
+ case value_t::array:
+ {
+ result.m_it.array_iterator = m_value.array->erase(pos.m_it.array_iterator);
+ break;
+ }
+
+ default:
+ {
+ throw std::domain_error("cannot use erase() with " + type_name());
+ }
+ }
+
+ return result;
+ }
+
+ /*!
+ @brief remove elements given an iterator range
+
+ Removes the element specified by the range `[first; last)`. The iterator
+ @a first does not need to be dereferenceable if `first == last`: erasing
+ an empty range is a no-op.
+
+ If called on a primitive type other than `null`, the resulting JSON value
+ will be `null`.
+
+ @param[in] first iterator to the beginning of the range to remove
+ @param[in] last iterator past the end of the range to remove
+ @return Iterator following the last removed element. If the iterator @a
+ second refers to the last element, the `end()` iterator is returned.
+
+ @tparam IteratorType an @ref iterator or @ref const_iterator
+
+ @post Invalidates iterators and references at or after the point of the
+ erase, including the `end()` iterator.
+
+ @throw std::domain_error if called on a `null` value; example: `"cannot
+ use erase() with null"`
+ @throw std::domain_error if called on iterators which does not belong to
+ the current JSON value; example: `"iterators do not fit current value"`
+ @throw std::out_of_range if called on a primitive type with invalid
+ iterators (i.e., if `first != begin()` and `last != end()`); example:
+ `"iterators out of range"`
+
+ @complexity The complexity depends on the type:
+ - objects: `log(size()) + std::distance(first, last)`
+ - arrays: linear in the distance between @a first and @a last, plus linear
+ in the distance between @a last and end of the container
+ - strings: linear in the length of the string
+ - other types: constant
+
+ @liveexample{The example shows the result of `erase()` for different JSON
+ types.,erase__IteratorType_IteratorType}
+
+ @sa @ref erase(IteratorType) -- removes the element at a given position
+ @sa @ref erase(const typename object_t::key_type&) -- removes the element
+ from an object at the given key
+ @sa @ref erase(const size_type) -- removes the element from an array at
+ the given index
+
+ @since version 1.0.0
+ */
+ template<class IteratorType, typename std::enable_if<
+ std::is_same<IteratorType, typename basic_json_t::iterator>::value or
+ std::is_same<IteratorType, typename basic_json_t::const_iterator>::value, int>::type
+ = 0>
+ IteratorType erase(IteratorType first, IteratorType last)
+ {
+ // make sure iterator fits the current value
+ if (this != first.m_object or this != last.m_object)
+ {
+ throw std::domain_error("iterators do not fit current value");
+ }
+
+ IteratorType result = end();
+
+ switch (m_type)
+ {
+ case value_t::boolean:
+ case value_t::number_float:
+ case value_t::number_integer:
+ case value_t::number_unsigned:
+ case value_t::string:
+ {
+ if (not first.m_it.primitive_iterator.is_begin() or not last.m_it.primitive_iterator.is_end())
+ {
+ throw std::out_of_range("iterators out of range");
+ }
+
+ if (is_string())
+ {
+ AllocatorType<string_t> alloc;
+ alloc.destroy(m_value.string);
+ alloc.deallocate(m_value.string, 1);
+ m_value.string = nullptr;
+ }
+
+ m_type = value_t::null;
+ assert_invariant();
+ break;
+ }
+
+ case value_t::object:
+ {
+ result.m_it.object_iterator = m_value.object->erase(first.m_it.object_iterator,
+ last.m_it.object_iterator);
+ break;
+ }
+
+ case value_t::array:
+ {
+ result.m_it.array_iterator = m_value.array->erase(first.m_it.array_iterator,
+ last.m_it.array_iterator);
+ break;
+ }
+
+ default:
+ {
+ throw std::domain_error("cannot use erase() with " + type_name());
+ }
+ }
+
+ return result;
+ }
+
+ /*!
+ @brief remove element from a JSON object given a key
+
+ Removes elements from a JSON object with the key value @a key.
+
+ @param[in] key value of the elements to remove
+
+ @return Number of elements removed. If @a ObjectType is the default
+ `std::map` type, the return value will always be `0` (@a key was not
+ found) or `1` (@a key was found).
+
+ @post References and iterators to the erased elements are invalidated.
+ Other references and iterators are not affected.
+
+ @throw std::domain_error when called on a type other than JSON object;
+ example: `"cannot use erase() with null"`
+
+ @complexity `log(size()) + count(key)`
+
+ @liveexample{The example shows the effect of `erase()`.,erase__key_type}
+
+ @sa @ref erase(IteratorType) -- removes the element at a given position
+ @sa @ref erase(IteratorType, IteratorType) -- removes the elements in
+ the given range
+ @sa @ref erase(const size_type) -- removes the element from an array at
+ the given index
+
+ @since version 1.0.0
+ */
+ size_type erase(const typename object_t::key_type& key)
+ {
+ // this erase only works for objects
+ if (is_object())
+ {
+ return m_value.object->erase(key);
+ }
+ else
+ {
+ throw std::domain_error("cannot use erase() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief remove element from a JSON array given an index
+
+ Removes element from a JSON array at the index @a idx.
+
+ @param[in] idx index of the element to remove
+
+ @throw std::domain_error when called on a type other than JSON array;
+ example: `"cannot use erase() with null"`
+ @throw std::out_of_range when `idx >= size()`; example: `"array index 17
+ is out of range"`
+
+ @complexity Linear in distance between @a idx and the end of the container.
+
+ @liveexample{The example shows the effect of `erase()`.,erase__size_type}
+
+ @sa @ref erase(IteratorType) -- removes the element at a given position
+ @sa @ref erase(IteratorType, IteratorType) -- removes the elements in
+ the given range
+ @sa @ref erase(const typename object_t::key_type&) -- removes the element
+ from an object at the given key
+
+ @since version 1.0.0
+ */
+ void erase(const size_type idx)
+ {
+ // this erase only works for arrays
+ if (is_array())
+ {
+ if (idx >= size())
+ {
+ throw std::out_of_range("array index " + std::to_string(idx) + " is out of range");
+ }
+
+ m_value.array->erase(m_value.array->begin() + static_cast<difference_type>(idx));
+ }
+ else
+ {
+ throw std::domain_error("cannot use erase() with " + type_name());
+ }
+ }
+
+ /// @}
+
+
+ ////////////
+ // lookup //
+ ////////////
+
+ /// @name lookup
+ /// @{
+
+ /*!
+ @brief find an element in a JSON object
+
+ Finds an element in a JSON object with key equivalent to @a key. If the
+ element is not found or the JSON value is not an object, end() is
+ returned.
+
+ @param[in] key key value of the element to search for
+
+ @return Iterator to an element with key equivalent to @a key. If no such
+ element is found, past-the-end (see end()) iterator is returned.
+
+ @complexity Logarithmic in the size of the JSON object.
+
+ @liveexample{The example shows how `find()` is used.,find__key_type}
+
+ @since version 1.0.0
+ */
+ iterator find(typename object_t::key_type key)
+ {
+ auto result = end();
+
+ if (is_object())
+ {
+ result.m_it.object_iterator = m_value.object->find(key);
+ }
+
+ return result;
+ }
+
+ /*!
+ @brief find an element in a JSON object
+ @copydoc find(typename object_t::key_type)
+ */
+ const_iterator find(typename object_t::key_type key) const
+ {
+ auto result = cend();
+
+ if (is_object())
+ {
+ result.m_it.object_iterator = m_value.object->find(key);
+ }
+
+ return result;
+ }
+
+ /*!
+ @brief returns the number of occurrences of a key in a JSON object
+
+ Returns the number of elements with key @a key. If ObjectType is the
+ default `std::map` type, the return value will always be `0` (@a key was
+ not found) or `1` (@a key was found).
+
+ @param[in] key key value of the element to count
+
+ @return Number of elements with key @a key. If the JSON value is not an
+ object, the return value will be `0`.
+
+ @complexity Logarithmic in the size of the JSON object.
+
+ @liveexample{The example shows how `count()` is used.,count}
+
+ @since version 1.0.0
+ */
+ size_type count(typename object_t::key_type key) const
+ {
+ // return 0 for all nonobject types
+ return is_object() ? m_value.object->count(key) : 0;
+ }
+
+ /// @}
+
+
+ ///////////////
+ // iterators //
+ ///////////////
+
+ /// @name iterators
+ /// @{
+
+ /*!
+ @brief returns an iterator to the first element
+
+ Returns an iterator to the first element.
+
+ @image html range-begin-end.svg "Illustration from cppreference.com"
+
+ @return iterator to the first element
+
+ @complexity Constant.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is constant.
+
+ @liveexample{The following code shows an example for `begin()`.,begin}
+
+ @sa @ref cbegin() -- returns a const iterator to the beginning
+ @sa @ref end() -- returns an iterator to the end
+ @sa @ref cend() -- returns a const iterator to the end
+
+ @since version 1.0.0
+ */
+ iterator begin() noexcept
+ {
+ iterator result(this);
+ result.set_begin();
+ return result;
+ }
+
+ /*!
+ @copydoc basic_json::cbegin()
+ */
+ const_iterator begin() const noexcept
+ {
+ return cbegin();
+ }
+
+ /*!
+ @brief returns a const iterator to the first element
+
+ Returns a const iterator to the first element.
+
+ @image html range-begin-end.svg "Illustration from cppreference.com"
+
+ @return const iterator to the first element
+
+ @complexity Constant.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is constant.
+ - Has the semantics of `const_cast<const basic_json&>(*this).begin()`.
+
+ @liveexample{The following code shows an example for `cbegin()`.,cbegin}
+
+ @sa @ref begin() -- returns an iterator to the beginning
+ @sa @ref end() -- returns an iterator to the end
+ @sa @ref cend() -- returns a const iterator to the end
+
+ @since version 1.0.0
+ */
+ const_iterator cbegin() const noexcept
+ {
+ const_iterator result(this);
+ result.set_begin();
+ return result;
+ }
+
+ /*!
+ @brief returns an iterator to one past the last element
+
+ Returns an iterator to one past the last element.
+
+ @image html range-begin-end.svg "Illustration from cppreference.com"
+
+ @return iterator one past the last element
+
+ @complexity Constant.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is constant.
+
+ @liveexample{The following code shows an example for `end()`.,end}
+
+ @sa @ref cend() -- returns a const iterator to the end
+ @sa @ref begin() -- returns an iterator to the beginning
+ @sa @ref cbegin() -- returns a const iterator to the beginning
+
+ @since version 1.0.0
+ */
+ iterator end() noexcept
+ {
+ iterator result(this);
+ result.set_end();
+ return result;
+ }
+
+ /*!
+ @copydoc basic_json::cend()
+ */
+ const_iterator end() const noexcept
+ {
+ return cend();
+ }
+
+ /*!
+ @brief returns a const iterator to one past the last element
+
+ Returns a const iterator to one past the last element.
+
+ @image html range-begin-end.svg "Illustration from cppreference.com"
+
+ @return const iterator one past the last element
+
+ @complexity Constant.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is constant.
+ - Has the semantics of `const_cast<const basic_json&>(*this).end()`.
+
+ @liveexample{The following code shows an example for `cend()`.,cend}
+
+ @sa @ref end() -- returns an iterator to the end
+ @sa @ref begin() -- returns an iterator to the beginning
+ @sa @ref cbegin() -- returns a const iterator to the beginning
+
+ @since version 1.0.0
+ */
+ const_iterator cend() const noexcept
+ {
+ const_iterator result(this);
+ result.set_end();
+ return result;
+ }
+
+ /*!
+ @brief returns an iterator to the reverse-beginning
+
+ Returns an iterator to the reverse-beginning; that is, the last element.
+
+ @image html range-rbegin-rend.svg "Illustration from cppreference.com"
+
+ @complexity Constant.
+
+ @requirement This function helps `basic_json` satisfying the
+ [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer)
+ requirements:
+ - The complexity is constant.
+ - Has the semantics of `reverse_iterator(end())`.
+
+ @liveexample{The following code shows an example for `rbegin()`.,rbegin}
+
+ @sa @ref crbegin() -- returns a const reverse iterator to the beginning
+ @sa @ref rend() -- returns a reverse iterator to the end
+ @sa @ref crend() -- returns a const reverse iterator to the end
+
+ @since version 1.0.0
+ */
+ reverse_iterator rbegin() noexcept
+ {
+ return reverse_iterator(end());
+ }
+
+ /*!
+ @copydoc basic_json::crbegin()
+ */
+ const_reverse_iterator rbegin() const noexcept
+ {
+ return crbegin();
+ }
+
+ /*!
+ @brief returns an iterator to the reverse-end
+
+ Returns an iterator to the reverse-end; that is, one before the first
+ element.
+
+ @image html range-rbegin-rend.svg "Illustration from cppreference.com"
+
+ @complexity Constant.
+
+ @requirement This function helps `basic_json` satisfying the
+ [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer)
+ requirements:
+ - The complexity is constant.
+ - Has the semantics of `reverse_iterator(begin())`.
+
+ @liveexample{The following code shows an example for `rend()`.,rend}
+
+ @sa @ref crend() -- returns a const reverse iterator to the end
+ @sa @ref rbegin() -- returns a reverse iterator to the beginning
+ @sa @ref crbegin() -- returns a const reverse iterator to the beginning
+
+ @since version 1.0.0
+ */
+ reverse_iterator rend() noexcept
+ {
+ return reverse_iterator(begin());
+ }
+
+ /*!
+ @copydoc basic_json::crend()
+ */
+ const_reverse_iterator rend() const noexcept
+ {
+ return crend();
+ }
+
+ /*!
+ @brief returns a const reverse iterator to the last element
+
+ Returns a const iterator to the reverse-beginning; that is, the last
+ element.
+
+ @image html range-rbegin-rend.svg "Illustration from cppreference.com"
+
+ @complexity Constant.
+
+ @requirement This function helps `basic_json` satisfying the
+ [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer)
+ requirements:
+ - The complexity is constant.
+ - Has the semantics of `const_cast<const basic_json&>(*this).rbegin()`.
+
+ @liveexample{The following code shows an example for `crbegin()`.,crbegin}
+
+ @sa @ref rbegin() -- returns a reverse iterator to the beginning
+ @sa @ref rend() -- returns a reverse iterator to the end
+ @sa @ref crend() -- returns a const reverse iterator to the end
+
+ @since version 1.0.0
+ */
+ const_reverse_iterator crbegin() const noexcept
+ {
+ return const_reverse_iterator(cend());
+ }
+
+ /*!
+ @brief returns a const reverse iterator to one before the first
+
+ Returns a const reverse iterator to the reverse-end; that is, one before
+ the first element.
+
+ @image html range-rbegin-rend.svg "Illustration from cppreference.com"
+
+ @complexity Constant.
+
+ @requirement This function helps `basic_json` satisfying the
+ [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer)
+ requirements:
+ - The complexity is constant.
+ - Has the semantics of `const_cast<const basic_json&>(*this).rend()`.
+
+ @liveexample{The following code shows an example for `crend()`.,crend}
+
+ @sa @ref rend() -- returns a reverse iterator to the end
+ @sa @ref rbegin() -- returns a reverse iterator to the beginning
+ @sa @ref crbegin() -- returns a const reverse iterator to the beginning
+
+ @since version 1.0.0
+ */
+ const_reverse_iterator crend() const noexcept
+ {
+ return const_reverse_iterator(cbegin());
+ }
+
+ private:
+ // forward declaration
+ template<typename IteratorType> class iteration_proxy;
+
+ public:
+ /*!
+ @brief wrapper to access iterator member functions in range-based for
+
+ This function allows to access @ref iterator::key() and @ref
+ iterator::value() during range-based for loops. In these loops, a
+ reference to the JSON values is returned, so there is no access to the
+ underlying iterator.
+
+ @note The name of this function is not yet final and may change in the
+ future.
+ */
+ static iteration_proxy<iterator> iterator_wrapper(reference cont)
+ {
+ return iteration_proxy<iterator>(cont);
+ }
+
+ /*!
+ @copydoc iterator_wrapper(reference)
+ */
+ static iteration_proxy<const_iterator> iterator_wrapper(const_reference cont)
+ {
+ return iteration_proxy<const_iterator>(cont);
+ }
+
+ /// @}
+
+
+ //////////////
+ // capacity //
+ //////////////
+
+ /// @name capacity
+ /// @{
+
+ /*!
+ @brief checks whether the container is empty
+
+ Checks if a JSON value has no elements.
+
+ @return The return value depends on the different types and is
+ defined as follows:
+ Value type | return value
+ ----------- | -------------
+ null | `true`
+ boolean | `false`
+ string | `false`
+ number | `false`
+ object | result of function `object_t::empty()`
+ array | result of function `array_t::empty()`
+
+ @note This function does not return whether a string stored as JSON value
+ is empty - it returns whether the JSON container itself is empty which is
+ false in the case of a string.
+
+ @complexity Constant, as long as @ref array_t and @ref object_t satisfy
+ the Container concept; that is, their `empty()` functions have constant
+ complexity.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is constant.
+ - Has the semantics of `begin() == end()`.
+
+ @liveexample{The following code uses `empty()` to check if a JSON
+ object contains any elements.,empty}
+
+ @sa @ref size() -- returns the number of elements
+
+ @since version 1.0.0
+ */
+ bool empty() const noexcept
+ {
+ switch (m_type)
+ {
+ case value_t::null:
+ {
+ // null values are empty
+ return true;
+ }
+
+ case value_t::array:
+ {
+ // delegate call to array_t::empty()
+ return m_value.array->empty();
+ }
+
+ case value_t::object:
+ {
+ // delegate call to object_t::empty()
+ return m_value.object->empty();
+ }
+
+ default:
+ {
+ // all other types are nonempty
+ return false;
+ }
+ }
+ }
+
+ /*!
+ @brief returns the number of elements
+
+ Returns the number of elements in a JSON value.
+
+ @return The return value depends on the different types and is
+ defined as follows:
+ Value type | return value
+ ----------- | -------------
+ null | `0`
+ boolean | `1`
+ string | `1`
+ number | `1`
+ object | result of function object_t::size()
+ array | result of function array_t::size()
+
+ @note This function does not return the length of a string stored as JSON
+ value - it returns the number of elements in the JSON value which is 1 in
+ the case of a string.
+
+ @complexity Constant, as long as @ref array_t and @ref object_t satisfy
+ the Container concept; that is, their size() functions have constant
+ complexity.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is constant.
+ - Has the semantics of `std::distance(begin(), end())`.
+
+ @liveexample{The following code calls `size()` on the different value
+ types.,size}
+
+ @sa @ref empty() -- checks whether the container is empty
+ @sa @ref max_size() -- returns the maximal number of elements
+
+ @since version 1.0.0
+ */
+ size_type size() const noexcept
+ {
+ switch (m_type)
+ {
+ case value_t::null:
+ {
+ // null values are empty
+ return 0;
+ }
+
+ case value_t::array:
+ {
+ // delegate call to array_t::size()
+ return m_value.array->size();
+ }
+
+ case value_t::object:
+ {
+ // delegate call to object_t::size()
+ return m_value.object->size();
+ }
+
+ default:
+ {
+ // all other types have size 1
+ return 1;
+ }
+ }
+ }
+
+ /*!
+ @brief returns the maximum possible number of elements
+
+ Returns the maximum number of elements a JSON value is able to hold due to
+ system or library implementation limitations, i.e. `std::distance(begin(),
+ end())` for the JSON value.
+
+ @return The return value depends on the different types and is
+ defined as follows:
+ Value type | return value
+ ----------- | -------------
+ null | `0` (same as `size()`)
+ boolean | `1` (same as `size()`)
+ string | `1` (same as `size()`)
+ number | `1` (same as `size()`)
+ object | result of function `object_t::max_size()`
+ array | result of function `array_t::max_size()`
+
+ @complexity Constant, as long as @ref array_t and @ref object_t satisfy
+ the Container concept; that is, their `max_size()` functions have constant
+ complexity.
+
+ @requirement This function helps `basic_json` satisfying the
+ [Container](http://en.cppreference.com/w/cpp/concept/Container)
+ requirements:
+ - The complexity is constant.
+ - Has the semantics of returning `b.size()` where `b` is the largest
+ possible JSON value.
+
+ @liveexample{The following code calls `max_size()` on the different value
+ types. Note the output is implementation specific.,max_size}
+
+ @sa @ref size() -- returns the number of elements
+
+ @since version 1.0.0
+ */
+ size_type max_size() const noexcept
+ {
+ switch (m_type)
+ {
+ case value_t::array:
+ {
+ // delegate call to array_t::max_size()
+ return m_value.array->max_size();
+ }
+
+ case value_t::object:
+ {
+ // delegate call to object_t::max_size()
+ return m_value.object->max_size();
+ }
+
+ default:
+ {
+ // all other types have max_size() == size()
+ return size();
+ }
+ }
+ }
+
+ /// @}
+
+
+ ///////////////
+ // modifiers //
+ ///////////////
+
+ /// @name modifiers
+ /// @{
+
+ /*!
+ @brief clears the contents
+
+ Clears the content of a JSON value and resets it to the default value as
+ if @ref basic_json(value_t) would have been called:
+
+ Value type | initial value
+ ----------- | -------------
+ null | `null`
+ boolean | `false`
+ string | `""`
+ number | `0`
+ object | `{}`
+ array | `[]`
+
+ @note Floating-point numbers are set to `0.0` which will be serialized to
+ `0`. The vale type remains @ref number_float_t.
+
+ @complexity Linear in the size of the JSON value.
+
+ @liveexample{The example below shows the effect of `clear()` to different
+ JSON types.,clear}
+
+ @since version 1.0.0
+ */
+ void clear() noexcept
+ {
+ switch (m_type)
+ {
+ case value_t::number_integer:
+ {
+ m_value.number_integer = 0;
+ break;
+ }
+
+ case value_t::number_unsigned:
+ {
+ m_value.number_unsigned = 0;
+ break;
+ }
+
+ case value_t::number_float:
+ {
+ m_value.number_float = 0.0;
+ break;
+ }
+
+ case value_t::boolean:
+ {
+ m_value.boolean = false;
+ break;
+ }
+
+ case value_t::string:
+ {
+ m_value.string->clear();
+ break;
+ }
+
+ case value_t::array:
+ {
+ m_value.array->clear();
+ break;
+ }
+
+ case value_t::object:
+ {
+ m_value.object->clear();
+ break;
+ }
+
+ default:
+ {
+ break;
+ }
+ }
+ }
+
+ /*!
+ @brief add an object to an array
+
+ Appends the given element @a val to the end of the JSON value. If the
+ function is called on a JSON null value, an empty array is created before
+ appending @a val.
+
+ @param[in] val the value to add to the JSON array
+
+ @throw std::domain_error when called on a type other than JSON array or
+ null; example: `"cannot use push_back() with number"`
+
+ @complexity Amortized constant.
+
+ @liveexample{The example shows how `push_back()` and `+=` can be used to
+ add elements to a JSON array. Note how the `null` value was silently
+ converted to a JSON array.,push_back}
+
+ @since version 1.0.0
+ */
+ void push_back(basic_json&& val)
+ {
+ // push_back only works for null objects or arrays
+ if (not(is_null() or is_array()))
+ {
+ throw std::domain_error("cannot use push_back() with " + type_name());
+ }
+
+ // transform null object into an array
+ if (is_null())
+ {
+ m_type = value_t::array;
+ m_value = value_t::array;
+ assert_invariant();
+ }
+
+ // add element to array (move semantics)
+ m_value.array->push_back(std::move(val));
+ // invalidate object
+ val.m_type = value_t::null;
+ }
+
+ /*!
+ @brief add an object to an array
+ @copydoc push_back(basic_json&&)
+ */
+ reference operator+=(basic_json&& val)
+ {
+ push_back(std::move(val));
+ return *this;
+ }
+
+ /*!
+ @brief add an object to an array
+ @copydoc push_back(basic_json&&)
+ */
+ void push_back(const basic_json& val)
+ {
+ // push_back only works for null objects or arrays
+ if (not(is_null() or is_array()))
+ {
+ throw std::domain_error("cannot use push_back() with " + type_name());
+ }
+
+ // transform null object into an array
+ if (is_null())
+ {
+ m_type = value_t::array;
+ m_value = value_t::array;
+ assert_invariant();
+ }
+
+ // add element to array
+ m_value.array->push_back(val);
+ }
+
+ /*!
+ @brief add an object to an array
+ @copydoc push_back(basic_json&&)
+ */
+ reference operator+=(const basic_json& val)
+ {
+ push_back(val);
+ return *this;
+ }
+
+ /*!
+ @brief add an object to an object
+
+ Inserts the given element @a val to the JSON object. If the function is
+ called on a JSON null value, an empty object is created before inserting
+ @a val.
+
+ @param[in] val the value to add to the JSON object
+
+ @throw std::domain_error when called on a type other than JSON object or
+ null; example: `"cannot use push_back() with number"`
+
+ @complexity Logarithmic in the size of the container, O(log(`size()`)).
+
+ @liveexample{The example shows how `push_back()` and `+=` can be used to
+ add elements to a JSON object. Note how the `null` value was silently
+ converted to a JSON object.,push_back__object_t__value}
+
+ @since version 1.0.0
+ */
+ void push_back(const typename object_t::value_type& val)
+ {
+ // push_back only works for null objects or objects
+ if (not(is_null() or is_object()))
+ {
+ throw std::domain_error("cannot use push_back() with " + type_name());
+ }
+
+ // transform null object into an object
+ if (is_null())
+ {
+ m_type = value_t::object;
+ m_value = value_t::object;
+ assert_invariant();
+ }
+
+ // add element to array
+ m_value.object->insert(val);
+ }
+
+ /*!
+ @brief add an object to an object
+ @copydoc push_back(const typename object_t::value_type&)
+ */
+ reference operator+=(const typename object_t::value_type& val)
+ {
+ push_back(val);
+ return *this;
+ }
+
+ /*!
+ @brief add an object to an object
+
+ This function allows to use `push_back` with an initializer list. In case
+
+ 1. the current value is an object,
+ 2. the initializer list @a init contains only two elements, and
+ 3. the first element of @a init is a string,
+
+ @a init is converted into an object element and added using
+ @ref push_back(const typename object_t::value_type&). Otherwise, @a init
+ is converted to a JSON value and added using @ref push_back(basic_json&&).
+
+ @param init an initializer list
+
+ @complexity Linear in the size of the initializer list @a init.
+
+ @note This function is required to resolve an ambiguous overload error,
+ because pairs like `{"key", "value"}` can be both interpreted as
+ `object_t::value_type` or `std::initializer_list<basic_json>`, see
+ https://github.com/nlohmann/json/issues/235 for more information.
+
+ @liveexample{The example shows how initializer lists are treated as
+ objects when possible.,push_back__initializer_list}
+ */
+ void push_back(std::initializer_list<basic_json> init)
+ {
+ if (is_object() and init.size() == 2 and init.begin()->is_string())
+ {
+ const string_t key = *init.begin();
+ push_back(typename object_t::value_type(key, *(init.begin() + 1)));
+ }
+ else
+ {
+ push_back(basic_json(init));
+ }
+ }
+
+ /*!
+ @brief add an object to an object
+ @copydoc push_back(std::initializer_list<basic_json>)
+ */
+ reference operator+=(std::initializer_list<basic_json> init)
+ {
+ push_back(init);
+ return *this;
+ }
+
+ /*!
+ @brief inserts element
+
+ Inserts element @a val before iterator @a pos.
+
+ @param[in] pos iterator before which the content will be inserted; may be
+ the end() iterator
+ @param[in] val element to insert
+ @return iterator pointing to the inserted @a val.
+
+ @throw std::domain_error if called on JSON values other than arrays;
+ example: `"cannot use insert() with string"`
+ @throw std::domain_error if @a pos is not an iterator of *this; example:
+ `"iterator does not fit current value"`
+
+ @complexity Constant plus linear in the distance between pos and end of the
+ container.
+
+ @liveexample{The example shows how `insert()` is used.,insert}
+
+ @since version 1.0.0
+ */
+ iterator insert(const_iterator pos, const basic_json& val)
+ {
+ // insert only works for arrays
+ if (is_array())
+ {
+ // check if iterator pos fits to this JSON value
+ if (pos.m_object != this)
+ {
+ throw std::domain_error("iterator does not fit current value");
+ }
+
+ // insert to array and return iterator
+ iterator result(this);
+ result.m_it.array_iterator = m_value.array->insert(pos.m_it.array_iterator, val);
+ return result;
+ }
+ else
+ {
+ throw std::domain_error("cannot use insert() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief inserts element
+ @copydoc insert(const_iterator, const basic_json&)
+ */
+ iterator insert(const_iterator pos, basic_json&& val)
+ {
+ return insert(pos, val);
+ }
+
+ /*!
+ @brief inserts elements
+
+ Inserts @a cnt copies of @a val before iterator @a pos.
+
+ @param[in] pos iterator before which the content will be inserted; may be
+ the end() iterator
+ @param[in] cnt number of copies of @a val to insert
+ @param[in] val element to insert
+ @return iterator pointing to the first element inserted, or @a pos if
+ `cnt==0`
+
+ @throw std::domain_error if called on JSON values other than arrays;
+ example: `"cannot use insert() with string"`
+ @throw std::domain_error if @a pos is not an iterator of *this; example:
+ `"iterator does not fit current value"`
+
+ @complexity Linear in @a cnt plus linear in the distance between @a pos
+ and end of the container.
+
+ @liveexample{The example shows how `insert()` is used.,insert__count}
+
+ @since version 1.0.0
+ */
+ iterator insert(const_iterator pos, size_type cnt, const basic_json& val)
+ {
+ // insert only works for arrays
+ if (is_array())
+ {
+ // check if iterator pos fits to this JSON value
+ if (pos.m_object != this)
+ {
+ throw std::domain_error("iterator does not fit current value");
+ }
+
+ // insert to array and return iterator
+ iterator result(this);
+ result.m_it.array_iterator = m_value.array->insert(pos.m_it.array_iterator, cnt, val);
+ return result;
+ }
+ else
+ {
+ throw std::domain_error("cannot use insert() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief inserts elements
+
+ Inserts elements from range `[first, last)` before iterator @a pos.
+
+ @param[in] pos iterator before which the content will be inserted; may be
+ the end() iterator
+ @param[in] first begin of the range of elements to insert
+ @param[in] last end of the range of elements to insert
+
+ @throw std::domain_error if called on JSON values other than arrays;
+ example: `"cannot use insert() with string"`
+ @throw std::domain_error if @a pos is not an iterator of *this; example:
+ `"iterator does not fit current value"`
+ @throw std::domain_error if @a first and @a last do not belong to the same
+ JSON value; example: `"iterators do not fit"`
+ @throw std::domain_error if @a first or @a last are iterators into
+ container for which insert is called; example: `"passed iterators may not
+ belong to container"`
+
+ @return iterator pointing to the first element inserted, or @a pos if
+ `first==last`
+
+ @complexity Linear in `std::distance(first, last)` plus linear in the
+ distance between @a pos and end of the container.
+
+ @liveexample{The example shows how `insert()` is used.,insert__range}
+
+ @since version 1.0.0
+ */
+ iterator insert(const_iterator pos, const_iterator first, const_iterator last)
+ {
+ // insert only works for arrays
+ if (not is_array())
+ {
+ throw std::domain_error("cannot use insert() with " + type_name());
+ }
+
+ // check if iterator pos fits to this JSON value
+ if (pos.m_object != this)
+ {
+ throw std::domain_error("iterator does not fit current value");
+ }
+
+ // check if range iterators belong to the same JSON object
+ if (first.m_object != last.m_object)
+ {
+ throw std::domain_error("iterators do not fit");
+ }
+
+ if (first.m_object == this or last.m_object == this)
+ {
+ throw std::domain_error("passed iterators may not belong to container");
+ }
+
+ // insert to array and return iterator
+ iterator result(this);
+ result.m_it.array_iterator = m_value.array->insert(
+ pos.m_it.array_iterator,
+ first.m_it.array_iterator,
+ last.m_it.array_iterator);
+ return result;
+ }
+
+ /*!
+ @brief inserts elements
+
+ Inserts elements from initializer list @a ilist before iterator @a pos.
+
+ @param[in] pos iterator before which the content will be inserted; may be
+ the end() iterator
+ @param[in] ilist initializer list to insert the values from
+
+ @throw std::domain_error if called on JSON values other than arrays;
+ example: `"cannot use insert() with string"`
+ @throw std::domain_error if @a pos is not an iterator of *this; example:
+ `"iterator does not fit current value"`
+
+ @return iterator pointing to the first element inserted, or @a pos if
+ `ilist` is empty
+
+ @complexity Linear in `ilist.size()` plus linear in the distance between
+ @a pos and end of the container.
+
+ @liveexample{The example shows how `insert()` is used.,insert__ilist}
+
+ @since version 1.0.0
+ */
+ iterator insert(const_iterator pos, std::initializer_list<basic_json> ilist)
+ {
+ // insert only works for arrays
+ if (not is_array())
+ {
+ throw std::domain_error("cannot use insert() with " + type_name());
+ }
+
+ // check if iterator pos fits to this JSON value
+ if (pos.m_object != this)
+ {
+ throw std::domain_error("iterator does not fit current value");
+ }
+
+ // insert to array and return iterator
+ iterator result(this);
+ result.m_it.array_iterator = m_value.array->insert(pos.m_it.array_iterator, ilist);
+ return result;
+ }
+
+ /*!
+ @brief exchanges the values
+
+ Exchanges the contents of the JSON value with those of @a other. Does not
+ invoke any move, copy, or swap operations on individual elements. All
+ iterators and references remain valid. The past-the-end iterator is
+ invalidated.
+
+ @param[in,out] other JSON value to exchange the contents with
+
+ @complexity Constant.
+
+ @liveexample{The example below shows how JSON values can be swapped with
+ `swap()`.,swap__reference}
+
+ @since version 1.0.0
+ */
+ void swap(reference other) noexcept (
+ std::is_nothrow_move_constructible<value_t>::value and
+ std::is_nothrow_move_assignable<value_t>::value and
+ std::is_nothrow_move_constructible<json_value>::value and
+ std::is_nothrow_move_assignable<json_value>::value
+ )
+ {
+ std::swap(m_type, other.m_type);
+ std::swap(m_value, other.m_value);
+ assert_invariant();
+ }
+
+ /*!
+ @brief exchanges the values
+
+ Exchanges the contents of a JSON array with those of @a other. Does not
+ invoke any move, copy, or swap operations on individual elements. All
+ iterators and references remain valid. The past-the-end iterator is
+ invalidated.
+
+ @param[in,out] other array to exchange the contents with
+
+ @throw std::domain_error when JSON value is not an array; example: `"cannot
+ use swap() with string"`
+
+ @complexity Constant.
+
+ @liveexample{The example below shows how arrays can be swapped with
+ `swap()`.,swap__array_t}
+
+ @since version 1.0.0
+ */
+ void swap(array_t& other)
+ {
+ // swap only works for arrays
+ if (is_array())
+ {
+ std::swap(*(m_value.array), other);
+ }
+ else
+ {
+ throw std::domain_error("cannot use swap() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief exchanges the values
+
+ Exchanges the contents of a JSON object with those of @a other. Does not
+ invoke any move, copy, or swap operations on individual elements. All
+ iterators and references remain valid. The past-the-end iterator is
+ invalidated.
+
+ @param[in,out] other object to exchange the contents with
+
+ @throw std::domain_error when JSON value is not an object; example:
+ `"cannot use swap() with string"`
+
+ @complexity Constant.
+
+ @liveexample{The example below shows how objects can be swapped with
+ `swap()`.,swap__object_t}
+
+ @since version 1.0.0
+ */
+ void swap(object_t& other)
+ {
+ // swap only works for objects
+ if (is_object())
+ {
+ std::swap(*(m_value.object), other);
+ }
+ else
+ {
+ throw std::domain_error("cannot use swap() with " + type_name());
+ }
+ }
+
+ /*!
+ @brief exchanges the values
+
+ Exchanges the contents of a JSON string with those of @a other. Does not
+ invoke any move, copy, or swap operations on individual elements. All
+ iterators and references remain valid. The past-the-end iterator is
+ invalidated.
+
+ @param[in,out] other string to exchange the contents with
+
+ @throw std::domain_error when JSON value is not a string; example: `"cannot
+ use swap() with boolean"`
+
+ @complexity Constant.
+
+ @liveexample{The example below shows how strings can be swapped with
+ `swap()`.,swap__string_t}
+
+ @since version 1.0.0
+ */
+ void swap(string_t& other)
+ {
+ // swap only works for strings
+ if (is_string())
+ {
+ std::swap(*(m_value.string), other);
+ }
+ else
+ {
+ throw std::domain_error("cannot use swap() with " + type_name());
+ }
+ }
+
+ /// @}
+
+
+ //////////////////////////////////////////
+ // lexicographical comparison operators //
+ //////////////////////////////////////////
+
+ /// @name lexicographical comparison operators
+ /// @{
+
+ private:
+ /*!
+ @brief comparison operator for JSON types
+
+ Returns an ordering that is similar to Python:
+ - order: null < boolean < number < object < array < string
+ - furthermore, each type is not smaller than itself
+
+ @since version 1.0.0
+ */
+ friend bool operator<(const value_t lhs, const value_t rhs) noexcept
+ {
+ static constexpr std::array<uint8_t, 8> order = {{
+ 0, // null
+ 3, // object
+ 4, // array
+ 5, // string
+ 1, // boolean
+ 2, // integer
+ 2, // unsigned
+ 2, // float
+ }
+ };
+
+ // discarded values are not comparable
+ if (lhs == value_t::discarded or rhs == value_t::discarded)
+ {
+ return false;
+ }
+
+ return order[static_cast<std::size_t>(lhs)] < order[static_cast<std::size_t>(rhs)];
+ }
+
+ public:
+ /*!
+ @brief comparison: equal
+
+ Compares two JSON values for equality according to the following rules:
+ - Two JSON values are equal if (1) they are from the same type and (2)
+ their stored values are the same.
+ - Integer and floating-point numbers are automatically converted before
+ comparison. Floating-point numbers are compared indirectly: two
+ floating-point numbers `f1` and `f2` are considered equal if neither
+ `f1 > f2` nor `f2 > f1` holds.
+ - Two JSON null values are equal.
+
+ @param[in] lhs first JSON value to consider
+ @param[in] rhs second JSON value to consider
+ @return whether the values @a lhs and @a rhs are equal
+
+ @complexity Linear.
+
+ @liveexample{The example demonstrates comparing several JSON
+ types.,operator__equal}
+
+ @since version 1.0.0
+ */
+ friend bool operator==(const_reference lhs, const_reference rhs) noexcept
+ {
+ const auto lhs_type = lhs.type();
+ const auto rhs_type = rhs.type();
+
+ if (lhs_type == rhs_type)
+ {
+ switch (lhs_type)
+ {
+ case value_t::array:
+ {
+ return *lhs.m_value.array == *rhs.m_value.array;
+ }
+ case value_t::object:
+ {
+ return *lhs.m_value.object == *rhs.m_value.object;
+ }
+ case value_t::null:
+ {
+ return true;
+ }
+ case value_t::string:
+ {
+ return *lhs.m_value.string == *rhs.m_value.string;
+ }
+ case value_t::boolean:
+ {
+ return lhs.m_value.boolean == rhs.m_value.boolean;
+ }
+ case value_t::number_integer:
+ {
+ return lhs.m_value.number_integer == rhs.m_value.number_integer;
+ }
+ case value_t::number_unsigned:
+ {
+ return lhs.m_value.number_unsigned == rhs.m_value.number_unsigned;
+ }
+ case value_t::number_float:
+ {
+ return lhs.m_value.number_float == rhs.m_value.number_float;
+ }
+ default:
+ {
+ return false;
+ }
+ }
+ }
+ else if (lhs_type == value_t::number_integer and rhs_type == value_t::number_float)
+ {
+ return static_cast<number_float_t>(lhs.m_value.number_integer) == rhs.m_value.number_float;
+ }
+ else if (lhs_type == value_t::number_float and rhs_type == value_t::number_integer)
+ {
+ return lhs.m_value.number_float == static_cast<number_float_t>(rhs.m_value.number_integer);
+ }
+ else if (lhs_type == value_t::number_unsigned and rhs_type == value_t::number_float)
+ {
+ return static_cast<number_float_t>(lhs.m_value.number_unsigned) == rhs.m_value.number_float;
+ }
+ else if (lhs_type == value_t::number_float and rhs_type == value_t::number_unsigned)
+ {
+ return lhs.m_value.number_float == static_cast<number_float_t>(rhs.m_value.number_unsigned);
+ }
+ else if (lhs_type == value_t::number_unsigned and rhs_type == value_t::number_integer)
+ {
+ return static_cast<number_integer_t>(lhs.m_value.number_unsigned) == rhs.m_value.number_integer;
+ }
+ else if (lhs_type == value_t::number_integer and rhs_type == value_t::number_unsigned)
+ {
+ return lhs.m_value.number_integer == static_cast<number_integer_t>(rhs.m_value.number_unsigned);
+ }
+
+ return false;
+ }
+
+ /*!
+ @brief comparison: equal
+
+ The functions compares the given JSON value against a null pointer. As the
+ null pointer can be used to initialize a JSON value to null, a comparison
+ of JSON value @a v with a null pointer should be equivalent to call
+ `v.is_null()`.
+
+ @param[in] v JSON value to consider
+ @return whether @a v is null
+
+ @complexity Constant.
+
+ @liveexample{The example compares several JSON types to the null pointer.
+ ,operator__equal__nullptr_t}
+
+ @since version 1.0.0
+ */
+ friend bool operator==(const_reference v, std::nullptr_t) noexcept
+ {
+ return v.is_null();
+ }
+
+ /*!
+ @brief comparison: equal
+ @copydoc operator==(const_reference, std::nullptr_t)
+ */
+ friend bool operator==(std::nullptr_t, const_reference v) noexcept
+ {
+ return v.is_null();
+ }
+
+ /*!
+ @brief comparison: not equal
+
+ Compares two JSON values for inequality by calculating `not (lhs == rhs)`.
+
+ @param[in] lhs first JSON value to consider
+ @param[in] rhs second JSON value to consider
+ @return whether the values @a lhs and @a rhs are not equal
+
+ @complexity Linear.
+
+ @liveexample{The example demonstrates comparing several JSON
+ types.,operator__notequal}
+
+ @since version 1.0.0
+ */
+ friend bool operator!=(const_reference lhs, const_reference rhs) noexcept
+ {
+ return not (lhs == rhs);
+ }
+
+ /*!
+ @brief comparison: not equal
+
+ The functions compares the given JSON value against a null pointer. As the
+ null pointer can be used to initialize a JSON value to null, a comparison
+ of JSON value @a v with a null pointer should be equivalent to call
+ `not v.is_null()`.
+
+ @param[in] v JSON value to consider
+ @return whether @a v is not null
+
+ @complexity Constant.
+
+ @liveexample{The example compares several JSON types to the null pointer.
+ ,operator__notequal__nullptr_t}
+
+ @since version 1.0.0
+ */
+ friend bool operator!=(const_reference v, std::nullptr_t) noexcept
+ {
+ return not v.is_null();
+ }
+
+ /*!
+ @brief comparison: not equal
+ @copydoc operator!=(const_reference, std::nullptr_t)
+ */
+ friend bool operator!=(std::nullptr_t, const_reference v) noexcept
+ {
+ return not v.is_null();
+ }
+
+ /*!
+ @brief comparison: less than
+
+ Compares whether one JSON value @a lhs is less than another JSON value @a
+ rhs according to the following rules:
+ - If @a lhs and @a rhs have the same type, the values are compared using
+ the default `<` operator.
+ - Integer and floating-point numbers are automatically converted before
+ comparison
+ - In case @a lhs and @a rhs have different types, the values are ignored
+ and the order of the types is considered, see
+ @ref operator<(const value_t, const value_t).
+
+ @param[in] lhs first JSON value to consider
+ @param[in] rhs second JSON value to consider
+ @return whether @a lhs is less than @a rhs
+
+ @complexity Linear.
+
+ @liveexample{The example demonstrates comparing several JSON
+ types.,operator__less}
+
+ @since version 1.0.0
+ */
+ friend bool operator<(const_reference lhs, const_reference rhs) noexcept
+ {
+ const auto lhs_type = lhs.type();
+ const auto rhs_type = rhs.type();
+
+ if (lhs_type == rhs_type)
+ {
+ switch (lhs_type)
+ {
+ case value_t::array:
+ {
+ return *lhs.m_value.array < *rhs.m_value.array;
+ }
+ case value_t::object:
+ {
+ return *lhs.m_value.object < *rhs.m_value.object;
+ }
+ case value_t::null:
+ {
+ return false;
+ }
+ case value_t::string:
+ {
+ return *lhs.m_value.string < *rhs.m_value.string;
+ }
+ case value_t::boolean:
+ {
+ return lhs.m_value.boolean < rhs.m_value.boolean;
+ }
+ case value_t::number_integer:
+ {
+ return lhs.m_value.number_integer < rhs.m_value.number_integer;
+ }
+ case value_t::number_unsigned:
+ {
+ return lhs.m_value.number_unsigned < rhs.m_value.number_unsigned;
+ }
+ case value_t::number_float:
+ {
+ return lhs.m_value.number_float < rhs.m_value.number_float;
+ }
+ default:
+ {
+ return false;
+ }
+ }
+ }
+ else if (lhs_type == value_t::number_integer and rhs_type == value_t::number_float)
+ {
+ return static_cast<number_float_t>(lhs.m_value.number_integer) < rhs.m_value.number_float;
+ }
+ else if (lhs_type == value_t::number_float and rhs_type == value_t::number_integer)
+ {
+ return lhs.m_value.number_float < static_cast<number_float_t>(rhs.m_value.number_integer);
+ }
+ else if (lhs_type == value_t::number_unsigned and rhs_type == value_t::number_float)
+ {
+ return static_cast<number_float_t>(lhs.m_value.number_unsigned) < rhs.m_value.number_float;
+ }
+ else if (lhs_type == value_t::number_float and rhs_type == value_t::number_unsigned)
+ {
+ return lhs.m_value.number_float < static_cast<number_float_t>(rhs.m_value.number_unsigned);
+ }
+ else if (lhs_type == value_t::number_integer and rhs_type == value_t::number_unsigned)
+ {
+ return lhs.m_value.number_integer < static_cast<number_integer_t>(rhs.m_value.number_unsigned);
+ }
+ else if (lhs_type == value_t::number_unsigned and rhs_type == value_t::number_integer)
+ {
+ return static_cast<number_integer_t>(lhs.m_value.number_unsigned) < rhs.m_value.number_integer;
+ }
+
+ // We only reach this line if we cannot compare values. In that case,
+ // we compare types. Note we have to call the operator explicitly,
+ // because MSVC has problems otherwise.
+ return operator<(lhs_type, rhs_type);
+ }
+
+ /*!
+ @brief comparison: less than or equal
+
+ Compares whether one JSON value @a lhs is less than or equal to another
+ JSON value by calculating `not (rhs < lhs)`.
+
+ @param[in] lhs first JSON value to consider
+ @param[in] rhs second JSON value to consider
+ @return whether @a lhs is less than or equal to @a rhs
+
+ @complexity Linear.
+
+ @liveexample{The example demonstrates comparing several JSON
+ types.,operator__greater}
+
+ @since version 1.0.0
+ */
+ friend bool operator<=(const_reference lhs, const_reference rhs) noexcept
+ {
+ return not (rhs < lhs);
+ }
+
+ /*!
+ @brief comparison: greater than
+
+ Compares whether one JSON value @a lhs is greater than another
+ JSON value by calculating `not (lhs <= rhs)`.
+
+ @param[in] lhs first JSON value to consider
+ @param[in] rhs second JSON value to consider
+ @return whether @a lhs is greater than to @a rhs
+
+ @complexity Linear.
+
+ @liveexample{The example demonstrates comparing several JSON
+ types.,operator__lessequal}
+
+ @since version 1.0.0
+ */
+ friend bool operator>(const_reference lhs, const_reference rhs) noexcept
+ {
+ return not (lhs <= rhs);
+ }
+
+ /*!
+ @brief comparison: greater than or equal
+
+ Compares whether one JSON value @a lhs is greater than or equal to another
+ JSON value by calculating `not (lhs < rhs)`.
+
+ @param[in] lhs first JSON value to consider
+ @param[in] rhs second JSON value to consider
+ @return whether @a lhs is greater than or equal to @a rhs
+
+ @complexity Linear.
+
+ @liveexample{The example demonstrates comparing several JSON
+ types.,operator__greaterequal}
+
+ @since version 1.0.0
+ */
+ friend bool operator>=(const_reference lhs, const_reference rhs) noexcept
+ {
+ return not (lhs < rhs);
+ }
+
+ /// @}
+
+
+ ///////////////////
+ // serialization //
+ ///////////////////
+
+ /// @name serialization
+ /// @{
+
+ /*!
+ @brief serialize to stream
+
+ Serialize the given JSON value @a j to the output stream @a o. The JSON
+ value will be serialized using the @ref dump member function. The
+ indentation of the output can be controlled with the member variable
+ `width` of the output stream @a o. For instance, using the manipulator
+ `std::setw(4)` on @a o sets the indentation level to `4` and the
+ serialization result is the same as calling `dump(4)`.
+
+ @note During serializaion, the locale and the precision of the output
+ stream @a o are changed. The original values are restored when the
+ function returns.
+
+ @param[in,out] o stream to serialize to
+ @param[in] j JSON value to serialize
+
+ @return the stream @a o
+
+ @complexity Linear.
+
+ @liveexample{The example below shows the serialization with different
+ parameters to `width` to adjust the indentation level.,operator_serialize}
+
+ @since version 1.0.0
+ */
+ friend std::ostream& operator<<(std::ostream& o, const basic_json& j)
+ {
+ // read width member and use it as indentation parameter if nonzero
+ const bool pretty_print = (o.width() > 0);
+ const auto indentation = (pretty_print ? o.width() : 0);
+
+ // reset width to 0 for subsequent calls to this stream
+ o.width(0);
+
+ // fix locale problems
+ const auto old_locale = o.imbue(std::locale(std::locale(), new DecimalSeparator));
+ // set precision
+
+ // 6, 15 or 16 digits of precision allows round-trip IEEE 754
+ // string->float->string, string->double->string or string->long
+ // double->string; to be safe, we read this value from
+ // std::numeric_limits<number_float_t>::digits10
+ const auto old_precision = o.precision(std::numeric_limits<double>::digits10);
+
+ // do the actual serialization
+ j.dump(o, pretty_print, static_cast<unsigned int>(indentation));
+
+ // reset locale and precision
+ o.imbue(old_locale);
+ o.precision(old_precision);
+ return o;
+ }
+
+ /*!
+ @brief serialize to stream
+ @copydoc operator<<(std::ostream&, const basic_json&)
+ */
+ friend std::ostream& operator>>(const basic_json& j, std::ostream& o)
+ {
+ return o << j;
+ }
+
+ /// @}
+
+
+ /////////////////////
+ // deserialization //
+ /////////////////////
+
+ /// @name deserialization
+ /// @{
+
+ /*!
+ @brief deserialize from an array
+
+ This function reads from an array of 1-byte values.
+
+ @pre Each element of the container has a size of 1 byte. Violating this
+ precondition yields undefined behavior. **This precondition is enforced
+ with a static assertion.**
+
+ @param[in] array array to read from
+ @param[in] cb a parser callback function of type @ref parser_callback_t
+ which is used to control the deserialization by filtering unwanted values
+ (optional)
+
+ @return result of the deserialization
+
+ @complexity Linear in the length of the input. The parser is a predictive
+ LL(1) parser. The complexity can be higher if the parser callback function
+ @a cb has a super-linear complexity.
+
+ @note A UTF-8 byte order mark is silently ignored.
+
+ @liveexample{The example below demonstrates the `parse()` function reading
+ from an array.,parse__array__parser_callback_t}
+
+ @since version 2.0.3
+ */
+ template<class T, std::size_t N>
+ static basic_json parse(T (&array)[N],
+ const parser_callback_t cb = nullptr)
+ {
+ // delegate the call to the iterator-range parse overload
+ return parse(std::begin(array), std::end(array), cb);
+ }
+
+ /*!
+ @brief deserialize from string literal
+
+ @tparam CharT character/literal type with size of 1 byte
+ @param[in] s string literal to read a serialized JSON value from
+ @param[in] cb a parser callback function of type @ref parser_callback_t
+ which is used to control the deserialization by filtering unwanted values
+ (optional)
+
+ @return result of the deserialization
+
+ @complexity Linear in the length of the input. The parser is a predictive
+ LL(1) parser. The complexity can be higher if the parser callback function
+ @a cb has a super-linear complexity.
+
+ @note A UTF-8 byte order mark is silently ignored.
+ @note String containers like `std::string` or @ref string_t can be parsed
+ with @ref parse(const ContiguousContainer&, const parser_callback_t)
+
+ @liveexample{The example below demonstrates the `parse()` function with
+ and without callback function.,parse__string__parser_callback_t}
+
+ @sa @ref parse(std::istream&, const parser_callback_t) for a version that
+ reads from an input stream
+
+ @since version 1.0.0 (originally for @ref string_t)
+ */
+ template<typename CharPT, typename std::enable_if<
+ std::is_pointer<CharPT>::value and
+ std::is_integral<typename std::remove_pointer<CharPT>::type>::value and
+ sizeof(typename std::remove_pointer<CharPT>::type) == 1, int>::type = 0>
+ static basic_json parse(const CharPT s,
+ const parser_callback_t cb = nullptr)
+ {
+ return parser(reinterpret_cast<const char*>(s), cb).parse();
+ }
+
+ /*!
+ @brief deserialize from stream
+
+ @param[in,out] i stream to read a serialized JSON value from
+ @param[in] cb a parser callback function of type @ref parser_callback_t
+ which is used to control the deserialization by filtering unwanted values
+ (optional)
+
+ @return result of the deserialization
+
+ @complexity Linear in the length of the input. The parser is a predictive
+ LL(1) parser. The complexity can be higher if the parser callback function
+ @a cb has a super-linear complexity.
+
+ @note A UTF-8 byte order mark is silently ignored.
+
+ @liveexample{The example below demonstrates the `parse()` function with
+ and without callback function.,parse__istream__parser_callback_t}
+
+ @sa @ref parse(const char*, const parser_callback_t) for a version
+ that reads from a string
+
+ @since version 1.0.0
+ */
+ static basic_json parse(std::istream& i,
+ const parser_callback_t cb = nullptr)
+ {
+ return parser(i, cb).parse();
+ }
+
+ /*!
+ @copydoc parse(std::istream&, const parser_callback_t)
+ */
+ static basic_json parse(std::istream&& i,
+ const parser_callback_t cb = nullptr)
+ {
+ return parser(i, cb).parse();
+ }
+
+ /*!
+ @brief deserialize from an iterator range with contiguous storage
+
+ This function reads from an iterator range of a container with contiguous
+ storage of 1-byte values. Compatible container types include
+ `std::vector`, `std::string`, `std::array`, `std::valarray`, and
+ `std::initializer_list`. Furthermore, C-style arrays can be used with
+ `std::begin()`/`std::end()`. User-defined containers can be used as long
+ as they implement random-access iterators and a contiguous storage.
+
+ @pre The iterator range is contiguous. Violating this precondition yields
+ undefined behavior. **This precondition is enforced with an assertion.**
+ @pre Each element in the range has a size of 1 byte. Violating this
+ precondition yields undefined behavior. **This precondition is enforced
+ with a static assertion.**
+
+ @warning There is no way to enforce all preconditions at compile-time. If
+ the function is called with noncompliant iterators and with
+ assertions switched off, the behavior is undefined and will most
+ likely yield segmentation violation.
+
+ @tparam IteratorType iterator of container with contiguous storage
+ @param[in] first begin of the range to parse (included)
+ @param[in] last end of the range to parse (excluded)
+ @param[in] cb a parser callback function of type @ref parser_callback_t
+ which is used to control the deserialization by filtering unwanted values
+ (optional)
+
+ @return result of the deserialization
+
+ @complexity Linear in the length of the input. The parser is a predictive
+ LL(1) parser. The complexity can be higher if the parser callback function
+ @a cb has a super-linear complexity.
+
+ @note A UTF-8 byte order mark is silently ignored.
+
+ @liveexample{The example below demonstrates the `parse()` function reading
+ from an iterator range.,parse__iteratortype__parser_callback_t}
+
+ @since version 2.0.3
+ */
+ template<class IteratorType, typename std::enable_if<
+ std::is_base_of<
+ std::random_access_iterator_tag,
+ typename std::iterator_traits<IteratorType>::iterator_category>::value, int>::type = 0>
+ static basic_json parse(IteratorType first, IteratorType last,
+ const parser_callback_t cb = nullptr)
+ {
+ // assertion to check that the iterator range is indeed contiguous,
+ // see http://stackoverflow.com/a/35008842/266378 for more discussion
+ assert(std::accumulate(first, last, std::make_pair<bool, int>(true, 0),
+ [&first](std::pair<bool, int> res, decltype(*first) val)
+ {
+ res.first &= (val == *(std::next(std::addressof(*first), res.second++)));
+ return res;
+ }).first);
+
+ // assertion to check that each element is 1 byte long
+ static_assert(sizeof(typename std::iterator_traits<IteratorType>::value_type) == 1,
+ "each element in the iterator range must have the size of 1 byte");
+
+ // if iterator range is empty, create a parser with an empty string
+ // to generate "unexpected EOF" error message
+ if (std::distance(first, last) <= 0)
+ {
+ return parser("").parse();
+ }
+
+ return parser(first, last, cb).parse();
+ }
+
+ /*!
+ @brief deserialize from a container with contiguous storage
+
+ This function reads from a container with contiguous storage of 1-byte
+ values. Compatible container types include `std::vector`, `std::string`,
+ `std::array`, and `std::initializer_list`. User-defined containers can be
+ used as long as they implement random-access iterators and a contiguous
+ storage.
+
+ @pre The container storage is contiguous. Violating this precondition
+ yields undefined behavior. **This precondition is enforced with an
+ assertion.**
+ @pre Each element of the container has a size of 1 byte. Violating this
+ precondition yields undefined behavior. **This precondition is enforced
+ with a static assertion.**
+
+ @warning There is no way to enforce all preconditions at compile-time. If
+ the function is called with a noncompliant container and with
+ assertions switched off, the behavior is undefined and will most
+ likely yield segmentation violation.
+
+ @tparam ContiguousContainer container type with contiguous storage
+ @param[in] c container to read from
+ @param[in] cb a parser callback function of type @ref parser_callback_t
+ which is used to control the deserialization by filtering unwanted values
+ (optional)
+
+ @return result of the deserialization
+
+ @complexity Linear in the length of the input. The parser is a predictive
+ LL(1) parser. The complexity can be higher if the parser callback function
+ @a cb has a super-linear complexity.
+
+ @note A UTF-8 byte order mark is silently ignored.
+
+ @liveexample{The example below demonstrates the `parse()` function reading
+ from a contiguous container.,parse__contiguouscontainer__parser_callback_t}
+
+ @since version 2.0.3
+ */
+ template<class ContiguousContainer, typename std::enable_if<
+ not std::is_pointer<ContiguousContainer>::value and
+ std::is_base_of<
+ std::random_access_iterator_tag,
+ typename std::iterator_traits<decltype(std::begin(std::declval<ContiguousContainer const>()))>::iterator_category>::value
+ , int>::type = 0>
+ static basic_json parse(const ContiguousContainer& c,
+ const parser_callback_t cb = nullptr)
+ {
+ // delegate the call to the iterator-range parse overload
+ return parse(std::begin(c), std::end(c), cb);
+ }
+
+ /*!
+ @brief deserialize from stream
+
+ Deserializes an input stream to a JSON value.
+
+ @param[in,out] i input stream to read a serialized JSON value from
+ @param[in,out] j JSON value to write the deserialized input to
+
+ @throw std::invalid_argument in case of parse errors
+
+ @complexity Linear in the length of the input. The parser is a predictive
+ LL(1) parser.
+
+ @note A UTF-8 byte order mark is silently ignored.
+
+ @liveexample{The example below shows how a JSON value is constructed by
+ reading a serialization from a stream.,operator_deserialize}
+
+ @sa parse(std::istream&, const parser_callback_t) for a variant with a
+ parser callback function to filter values while parsing
+
+ @since version 1.0.0
+ */
+ friend std::istream& operator<<(basic_json& j, std::istream& i)
+ {
+ j = parser(i).parse();
+ return i;
+ }
+
+ /*!
+ @brief deserialize from stream
+ @copydoc operator<<(basic_json&, std::istream&)
+ */
+ friend std::istream& operator>>(std::istream& i, basic_json& j)
+ {
+ j = parser(i).parse();
+ return i;
+ }
+
+ /// @}
+
+
+ private:
+ ///////////////////////////
+ // convenience functions //
+ ///////////////////////////
+
+ /*!
+ @brief return the type as string
+
+ Returns the type name as string to be used in error messages - usually to
+ indicate that a function was called on a wrong JSON type.
+
+ @return basically a string representation of a the @a m_type member
+
+ @complexity Constant.
+
+ @since version 1.0.0
+ */
+ std::string type_name() const
+ {
+ switch (m_type)
+ {
+ case value_t::null:
+ return "null";
+ case value_t::object:
+ return "object";
+ case value_t::array:
+ return "array";
+ case value_t::string:
+ return "string";
+ case value_t::boolean:
+ return "boolean";
+ case value_t::discarded:
+ return "discarded";
+ default:
+ return "number";
+ }
+ }
+
+ /*!
+ @brief calculates the extra space to escape a JSON string
+
+ @param[in] s the string to escape
+ @return the number of characters required to escape string @a s
+
+ @complexity Linear in the length of string @a s.
+ */
+ static std::size_t extra_space(const string_t& s) noexcept
+ {
+ return std::accumulate(s.begin(), s.end(), size_t{},
+ [](size_t res, typename string_t::value_type c)
+ {
+ switch (c)
+ {
+ case '"':
+ case '\\':
+ case '\b':
+ case '\f':
+ case '\n':
+ case '\r':
+ case '\t':
+ {
+ // from c (1 byte) to \x (2 bytes)
+ return res + 1;
+ }
+
+ default:
+ {
+ if (c >= 0x00 and c <= 0x1f)
+ {
+ // from c (1 byte) to \uxxxx (6 bytes)
+ return res + 5;
+ }
+ else
+ {
+ return res;
+ }
+ }
+ }
+ });
+ }
+
+ /*!
+ @brief escape a string
+
+ Escape a string by replacing certain special characters by a sequence of
+ an escape character (backslash) and another character and other control
+ characters by a sequence of "\u" followed by a four-digit hex
+ representation.
+
+ @param[in] s the string to escape
+ @return the escaped string
+
+ @complexity Linear in the length of string @a s.
+ */
+ static string_t escape_string(const string_t& s)
+ {
+ const auto space = extra_space(s);
+ if (space == 0)
+ {
+ return s;
+ }
+
+ // create a result string of necessary size
+ string_t result(s.size() + space, '\\');
+ std::size_t pos = 0;
+
+ for (const auto& c : s)
+ {
+ switch (c)
+ {
+ // quotation mark (0x22)
+ case '"':
+ {
+ result[pos + 1] = '"';
+ pos += 2;
+ break;
+ }
+
+ // reverse solidus (0x5c)
+ case '\\':
+ {
+ // nothing to change
+ pos += 2;
+ break;
+ }
+
+ // backspace (0x08)
+ case '\b':
+ {
+ result[pos + 1] = 'b';
+ pos += 2;
+ break;
+ }
+
+ // formfeed (0x0c)
+ case '\f':
+ {
+ result[pos + 1] = 'f';
+ pos += 2;
+ break;
+ }
+
+ // newline (0x0a)
+ case '\n':
+ {
+ result[pos + 1] = 'n';
+ pos += 2;
+ break;
+ }
+
+ // carriage return (0x0d)
+ case '\r':
+ {
+ result[pos + 1] = 'r';
+ pos += 2;
+ break;
+ }
+
+ // horizontal tab (0x09)
+ case '\t':
+ {
+ result[pos + 1] = 't';
+ pos += 2;
+ break;
+ }
+
+ default:
+ {
+ if (c >= 0x00 and c <= 0x1f)
+ {
+ // convert a number 0..15 to its hex representation
+ // (0..f)
+ static const char hexify[16] =
+ {
+ '0', '1', '2', '3', '4', '5', '6', '7',
+ '8', '9', 'a', 'b', 'c', 'd', 'e', 'f'
+ };
+
+ // print character c as \uxxxx
+ for (const char m :
+ { 'u', '0', '0', hexify[c >> 4], hexify[c & 0x0f]
+ })
+ {
+ result[++pos] = m;
+ }
+
+ ++pos;
+ }
+ else
+ {
+ // all other characters are added as-is
+ result[pos++] = c;
+ }
+ break;
+ }
+ }
+ }
+
+ return result;
+ }
+
+ /*!
+ @brief internal implementation of the serialization function
+
+ This function is called by the public member function dump and organizes
+ the serialization internally. The indentation level is propagated as
+ additional parameter. In case of arrays and objects, the function is
+ called recursively. Note that
+
+ - strings and object keys are escaped using `escape_string()`
+ - integer numbers are converted implicitly via `operator<<`
+ - floating-point numbers are converted to a string using `"%g"` format
+
+ @param[out] o stream to write to
+ @param[in] pretty_print whether the output shall be pretty-printed
+ @param[in] indent_step the indent level
+ @param[in] current_indent the current indent level (only used internally)
+ */
+ void dump(std::ostream& o,
+ const bool pretty_print,
+ const unsigned int indent_step,
+ const unsigned int current_indent = 0) const
+ {
+ // variable to hold indentation for recursive calls
+ unsigned int new_indent = current_indent;
+
+ switch (m_type)
+ {
+ case value_t::object:
+ {
+ if (m_value.object->empty())
+ {
+ o << "{}";
+ return;
+ }
+
+ o << "{";
+
+ // increase indentation
+ if (pretty_print)
+ {
+ new_indent += indent_step;
+ o << "\n";
+ }
+
+ for (auto i = m_value.object->cbegin(); i != m_value.object->cend(); ++i)
+ {
+ if (i != m_value.object->cbegin())
+ {
+ o << (pretty_print ? ",\n" : ",");
+ }
+ o << string_t(new_indent, ' ') << "\""
+ << escape_string(i->first) << "\":"
+ << (pretty_print ? " " : "");
+ i->second.dump(o, pretty_print, indent_step, new_indent);
+ }
+
+ // decrease indentation
+ if (pretty_print)
+ {
+ new_indent -= indent_step;
+ o << "\n";
+ }
+
+ o << string_t(new_indent, ' ') + "}";
+ return;
+ }
+
+ case value_t::array:
+ {
+ if (m_value.array->empty())
+ {
+ o << "[]";
+ return;
+ }
+
+ o << "[";
+
+ // increase indentation
+ if (pretty_print)
+ {
+ new_indent += indent_step;
+ o << "\n";
+ }
+
+ for (auto i = m_value.array->cbegin(); i != m_value.array->cend(); ++i)
+ {
+ if (i != m_value.array->cbegin())
+ {
+ o << (pretty_print ? ",\n" : ",");
+ }
+ o << string_t(new_indent, ' ');
+ i->dump(o, pretty_print, indent_step, new_indent);
+ }
+
+ // decrease indentation
+ if (pretty_print)
+ {
+ new_indent -= indent_step;
+ o << "\n";
+ }
+
+ o << string_t(new_indent, ' ') << "]";
+ return;
+ }
+
+ case value_t::string:
+ {
+ o << string_t("\"") << escape_string(*m_value.string) << "\"";
+ return;
+ }
+
+ case value_t::boolean:
+ {
+ o << (m_value.boolean ? "true" : "false");
+ return;
+ }
+
+ case value_t::number_integer:
+ {
+ o << m_value.number_integer;
+ return;
+ }
+
+ case value_t::number_unsigned:
+ {
+ o << m_value.number_unsigned;
+ return;
+ }
+
+ case value_t::number_float:
+ {
+ if (m_value.number_float == 0)
+ {
+ // special case for zero to get "0.0"/"-0.0"
+ o << (std::signbit(m_value.number_float) ? "-0.0" : "0.0");
+ }
+ else
+ {
+ o << m_value.number_float;
+ }
+ return;
+ }
+
+ case value_t::discarded:
+ {
+ o << "<discarded>";
+ return;
+ }
+
+ case value_t::null:
+ {
+ o << "null";
+ return;
+ }
+ }
+ }
+
+ private:
+ //////////////////////
+ // member variables //
+ //////////////////////
+
+ /// the type of the current element
+ value_t m_type = value_t::null;
+
+ /// the value of the current element
+ json_value m_value = {};
+
+
+ private:
+ ///////////////
+ // iterators //
+ ///////////////
+
+ /*!
+ @brief an iterator for primitive JSON types
+
+ This class models an iterator for primitive JSON types (boolean, number,
+ string). It's only purpose is to allow the iterator/const_iterator classes
+ to "iterate" over primitive values. Internally, the iterator is modeled by
+ a `difference_type` variable. Value begin_value (`0`) models the begin,
+ end_value (`1`) models past the end.
+ */
+ class primitive_iterator_t
+ {
+ public:
+ /// set iterator to a defined beginning
+ void set_begin() noexcept
+ {
+ m_it = begin_value;
+ }
+
+ /// set iterator to a defined past the end
+ void set_end() noexcept
+ {
+ m_it = end_value;
+ }
+
+ /// return whether the iterator can be dereferenced
+ constexpr bool is_begin() const noexcept
+ {
+ return (m_it == begin_value);
+ }
+
+ /// return whether the iterator is at end
+ constexpr bool is_end() const noexcept
+ {
+ return (m_it == end_value);
+ }
+
+ /// return reference to the value to change and compare
+ operator difference_type& () noexcept
+ {
+ return m_it;
+ }
+
+ /// return value to compare
+ constexpr operator difference_type () const noexcept
+ {
+ return m_it;
+ }
+
+ private:
+ static constexpr difference_type begin_value = 0;
+ static constexpr difference_type end_value = begin_value + 1;
+
+ /// iterator as signed integer type
+ difference_type m_it = std::numeric_limits<std::ptrdiff_t>::denorm_min();
+ };
+
+ /*!
+ @brief an iterator value
+
+ @note This structure could easily be a union, but MSVC currently does not
+ allow unions members with complex constructors, see
+ https://github.com/nlohmann/json/pull/105.
+ */
+ struct internal_iterator
+ {
+ /// iterator for JSON objects
+ typename object_t::iterator object_iterator;
+ /// iterator for JSON arrays
+ typename array_t::iterator array_iterator;
+ /// generic iterator for all other types
+ primitive_iterator_t primitive_iterator;
+
+ /// create an uninitialized internal_iterator
+ internal_iterator() noexcept
+ : object_iterator(), array_iterator(), primitive_iterator()
+ {}
+ };
+
+ /// proxy class for the iterator_wrapper functions
+ template<typename IteratorType>
+ class iteration_proxy
+ {
+ private:
+ /// helper class for iteration
+ class iteration_proxy_internal
+ {
+ private:
+ /// the iterator
+ IteratorType anchor;
+ /// an index for arrays (used to create key names)
+ size_t array_index = 0;
+
+ public:
+ explicit iteration_proxy_internal(IteratorType it) noexcept
+ : anchor(it)
+ {}
+
+ /// dereference operator (needed for range-based for)
+ iteration_proxy_internal& operator*()
+ {
+ return *this;
+ }
+
+ /// increment operator (needed for range-based for)
+ iteration_proxy_internal& operator++()
+ {
+ ++anchor;
+ ++array_index;
+
+ return *this;
+ }
+
+ /// inequality operator (needed for range-based for)
+ bool operator!= (const iteration_proxy_internal& o) const
+ {
+ return anchor != o.anchor;
+ }
+
+ /// return key of the iterator
+ typename basic_json::string_t key() const
+ {
+ assert(anchor.m_object != nullptr);
+
+ switch (anchor.m_object->type())
+ {
+ // use integer array index as key
+ case value_t::array:
+ {
+ return std::to_string(array_index);
+ }
+
+ // use key from the object
+ case value_t::object:
+ {
+ return anchor.key();
+ }
+
+ // use an empty key for all primitive types
+ default:
+ {
+ return "";
+ }
+ }
+ }
+
+ /// return value of the iterator
+ typename IteratorType::reference value() const
+ {
+ return anchor.value();
+ }
+ };
+
+ /// the container to iterate
+ typename IteratorType::reference container;
+
+ public:
+ /// construct iteration proxy from a container
+ explicit iteration_proxy(typename IteratorType::reference cont)
+ : container(cont)
+ {}
+
+ /// return iterator begin (needed for range-based for)
+ iteration_proxy_internal begin() noexcept
+ {
+ return iteration_proxy_internal(container.begin());
+ }
+
+ /// return iterator end (needed for range-based for)
+ iteration_proxy_internal end() noexcept
+ {
+ return iteration_proxy_internal(container.end());
+ }
+ };
+
+ public:
+ /*!
+ @brief a const random access iterator for the @ref basic_json class
+
+ This class implements a const iterator for the @ref basic_json class. From
+ this class, the @ref iterator class is derived.
+
+ @note An iterator is called *initialized* when a pointer to a JSON value
+ has been set (e.g., by a constructor or a copy assignment). If the
+ iterator is default-constructed, it is *uninitialized* and most
+ methods are undefined. **The library uses assertions to detect calls
+ on uninitialized iterators.**
+
+ @requirement The class satisfies the following concept requirements:
+ - [RandomAccessIterator](http://en.cppreference.com/w/cpp/concept/RandomAccessIterator):
+ The iterator that can be moved to point (forward and backward) to any
+ element in constant time.
+
+ @since version 1.0.0
+ */
+ class const_iterator : public std::iterator<std::random_access_iterator_tag, const basic_json>
+ {
+ /// allow basic_json to access private members
+ friend class basic_json;
+
+ public:
+ /// the type of the values when the iterator is dereferenced
+ using value_type = typename basic_json::value_type;
+ /// a type to represent differences between iterators
+ using difference_type = typename basic_json::difference_type;
+ /// defines a pointer to the type iterated over (value_type)
+ using pointer = typename basic_json::const_pointer;
+ /// defines a reference to the type iterated over (value_type)
+ using reference = typename basic_json::const_reference;
+ /// the category of the iterator
+ using iterator_category = std::bidirectional_iterator_tag;
+
+ /// default constructor
+ const_iterator() = default;
+
+ /*!
+ @brief constructor for a given JSON instance
+ @param[in] object pointer to a JSON object for this iterator
+ @pre object != nullptr
+ @post The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ explicit const_iterator(pointer object) noexcept
+ : m_object(object)
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ m_it.object_iterator = typename object_t::iterator();
+ break;
+ }
+
+ case basic_json::value_t::array:
+ {
+ m_it.array_iterator = typename array_t::iterator();
+ break;
+ }
+
+ default:
+ {
+ m_it.primitive_iterator = primitive_iterator_t();
+ break;
+ }
+ }
+ }
+
+ /*!
+ @brief copy constructor given a non-const iterator
+ @param[in] other iterator to copy from
+ @note It is not checked whether @a other is initialized.
+ */
+ explicit const_iterator(const iterator& other) noexcept
+ : m_object(other.m_object)
+ {
+ if (m_object != nullptr)
+ {
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ m_it.object_iterator = other.m_it.object_iterator;
+ break;
+ }
+
+ case basic_json::value_t::array:
+ {
+ m_it.array_iterator = other.m_it.array_iterator;
+ break;
+ }
+
+ default:
+ {
+ m_it.primitive_iterator = other.m_it.primitive_iterator;
+ break;
+ }
+ }
+ }
+ }
+
+ /*!
+ @brief copy constructor
+ @param[in] other iterator to copy from
+ @note It is not checked whether @a other is initialized.
+ */
+ const_iterator(const const_iterator& other) noexcept
+ : m_object(other.m_object), m_it(other.m_it)
+ {}
+
+ /*!
+ @brief copy assignment
+ @param[in,out] other iterator to copy from
+ @note It is not checked whether @a other is initialized.
+ */
+ const_iterator& operator=(const_iterator other) noexcept(
+ std::is_nothrow_move_constructible<pointer>::value and
+ std::is_nothrow_move_assignable<pointer>::value and
+ std::is_nothrow_move_constructible<internal_iterator>::value and
+ std::is_nothrow_move_assignable<internal_iterator>::value
+ )
+ {
+ std::swap(m_object, other.m_object);
+ std::swap(m_it, other.m_it);
+ return *this;
+ }
+
+ private:
+ /*!
+ @brief set the iterator to the first value
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ void set_begin() noexcept
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ m_it.object_iterator = m_object->m_value.object->begin();
+ break;
+ }
+
+ case basic_json::value_t::array:
+ {
+ m_it.array_iterator = m_object->m_value.array->begin();
+ break;
+ }
+
+ case basic_json::value_t::null:
+ {
+ // set to end so begin()==end() is true: null is empty
+ m_it.primitive_iterator.set_end();
+ break;
+ }
+
+ default:
+ {
+ m_it.primitive_iterator.set_begin();
+ break;
+ }
+ }
+ }
+
+ /*!
+ @brief set the iterator past the last value
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ void set_end() noexcept
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ m_it.object_iterator = m_object->m_value.object->end();
+ break;
+ }
+
+ case basic_json::value_t::array:
+ {
+ m_it.array_iterator = m_object->m_value.array->end();
+ break;
+ }
+
+ default:
+ {
+ m_it.primitive_iterator.set_end();
+ break;
+ }
+ }
+ }
+
+ public:
+ /*!
+ @brief return a reference to the value pointed to by the iterator
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ reference operator*() const
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ assert(m_it.object_iterator != m_object->m_value.object->end());
+ return m_it.object_iterator->second;
+ }
+
+ case basic_json::value_t::array:
+ {
+ assert(m_it.array_iterator != m_object->m_value.array->end());
+ return *m_it.array_iterator;
+ }
+
+ case basic_json::value_t::null:
+ {
+ throw std::out_of_range("cannot get value");
+ }
+
+ default:
+ {
+ if (m_it.primitive_iterator.is_begin())
+ {
+ return *m_object;
+ }
+ else
+ {
+ throw std::out_of_range("cannot get value");
+ }
+ }
+ }
+ }
+
+ /*!
+ @brief dereference the iterator
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ pointer operator->() const
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ assert(m_it.object_iterator != m_object->m_value.object->end());
+ return &(m_it.object_iterator->second);
+ }
+
+ case basic_json::value_t::array:
+ {
+ assert(m_it.array_iterator != m_object->m_value.array->end());
+ return &*m_it.array_iterator;
+ }
+
+ default:
+ {
+ if (m_it.primitive_iterator.is_begin())
+ {
+ return m_object;
+ }
+ else
+ {
+ throw std::out_of_range("cannot get value");
+ }
+ }
+ }
+ }
+
+ /*!
+ @brief post-increment (it++)
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ const_iterator operator++(int)
+ {
+ auto result = *this;
+ ++(*this);
+ return result;
+ }
+
+ /*!
+ @brief pre-increment (++it)
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ const_iterator& operator++()
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ std::advance(m_it.object_iterator, 1);
+ break;
+ }
+
+ case basic_json::value_t::array:
+ {
+ std::advance(m_it.array_iterator, 1);
+ break;
+ }
+
+ default:
+ {
+ ++m_it.primitive_iterator;
+ break;
+ }
+ }
+
+ return *this;
+ }
+
+ /*!
+ @brief post-decrement (it--)
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ const_iterator operator--(int)
+ {
+ auto result = *this;
+ --(*this);
+ return result;
+ }
+
+ /*!
+ @brief pre-decrement (--it)
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ const_iterator& operator--()
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ std::advance(m_it.object_iterator, -1);
+ break;
+ }
+
+ case basic_json::value_t::array:
+ {
+ std::advance(m_it.array_iterator, -1);
+ break;
+ }
+
+ default:
+ {
+ --m_it.primitive_iterator;
+ break;
+ }
+ }
+
+ return *this;
+ }
+
+ /*!
+ @brief comparison: equal
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ bool operator==(const const_iterator& other) const
+ {
+ // if objects are not the same, the comparison is undefined
+ if (m_object != other.m_object)
+ {
+ throw std::domain_error("cannot compare iterators of different containers");
+ }
+
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ return (m_it.object_iterator == other.m_it.object_iterator);
+ }
+
+ case basic_json::value_t::array:
+ {
+ return (m_it.array_iterator == other.m_it.array_iterator);
+ }
+
+ default:
+ {
+ return (m_it.primitive_iterator == other.m_it.primitive_iterator);
+ }
+ }
+ }
+
+ /*!
+ @brief comparison: not equal
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ bool operator!=(const const_iterator& other) const
+ {
+ return not operator==(other);
+ }
+
+ /*!
+ @brief comparison: smaller
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ bool operator<(const const_iterator& other) const
+ {
+ // if objects are not the same, the comparison is undefined
+ if (m_object != other.m_object)
+ {
+ throw std::domain_error("cannot compare iterators of different containers");
+ }
+
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ throw std::domain_error("cannot compare order of object iterators");
+ }
+
+ case basic_json::value_t::array:
+ {
+ return (m_it.array_iterator < other.m_it.array_iterator);
+ }
+
+ default:
+ {
+ return (m_it.primitive_iterator < other.m_it.primitive_iterator);
+ }
+ }
+ }
+
+ /*!
+ @brief comparison: less than or equal
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ bool operator<=(const const_iterator& other) const
+ {
+ return not other.operator < (*this);
+ }
+
+ /*!
+ @brief comparison: greater than
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ bool operator>(const const_iterator& other) const
+ {
+ return not operator<=(other);
+ }
+
+ /*!
+ @brief comparison: greater than or equal
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ bool operator>=(const const_iterator& other) const
+ {
+ return not operator<(other);
+ }
+
+ /*!
+ @brief add to iterator
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ const_iterator& operator+=(difference_type i)
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ throw std::domain_error("cannot use offsets with object iterators");
+ }
+
+ case basic_json::value_t::array:
+ {
+ std::advance(m_it.array_iterator, i);
+ break;
+ }
+
+ default:
+ {
+ m_it.primitive_iterator += i;
+ break;
+ }
+ }
+
+ return *this;
+ }
+
+ /*!
+ @brief subtract from iterator
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ const_iterator& operator-=(difference_type i)
+ {
+ return operator+=(-i);
+ }
+
+ /*!
+ @brief add to iterator
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ const_iterator operator+(difference_type i)
+ {
+ auto result = *this;
+ result += i;
+ return result;
+ }
+
+ /*!
+ @brief subtract from iterator
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ const_iterator operator-(difference_type i)
+ {
+ auto result = *this;
+ result -= i;
+ return result;
+ }
+
+ /*!
+ @brief return difference
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ difference_type operator-(const const_iterator& other) const
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ throw std::domain_error("cannot use offsets with object iterators");
+ }
+
+ case basic_json::value_t::array:
+ {
+ return m_it.array_iterator - other.m_it.array_iterator;
+ }
+
+ default:
+ {
+ return m_it.primitive_iterator - other.m_it.primitive_iterator;
+ }
+ }
+ }
+
+ /*!
+ @brief access to successor
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ reference operator[](difference_type n) const
+ {
+ assert(m_object != nullptr);
+
+ switch (m_object->m_type)
+ {
+ case basic_json::value_t::object:
+ {
+ throw std::domain_error("cannot use operator[] for object iterators");
+ }
+
+ case basic_json::value_t::array:
+ {
+ return *std::next(m_it.array_iterator, n);
+ }
+
+ case basic_json::value_t::null:
+ {
+ throw std::out_of_range("cannot get value");
+ }
+
+ default:
+ {
+ if (m_it.primitive_iterator == -n)
+ {
+ return *m_object;
+ }
+ else
+ {
+ throw std::out_of_range("cannot get value");
+ }
+ }
+ }
+ }
+
+ /*!
+ @brief return the key of an object iterator
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ typename object_t::key_type key() const
+ {
+ assert(m_object != nullptr);
+
+ if (m_object->is_object())
+ {
+ return m_it.object_iterator->first;
+ }
+ else
+ {
+ throw std::domain_error("cannot use key() for non-object iterators");
+ }
+ }
+
+ /*!
+ @brief return the value of an iterator
+ @pre The iterator is initialized; i.e. `m_object != nullptr`.
+ */
+ reference value() const
+ {
+ return operator*();
+ }
+
+ private:
+ /// associated JSON instance
+ pointer m_object = nullptr;
+ /// the actual iterator of the associated instance
+ internal_iterator m_it = internal_iterator();
+ };
+
+ /*!
+ @brief a mutable random access iterator for the @ref basic_json class
+
+ @requirement The class satisfies the following concept requirements:
+ - [RandomAccessIterator](http://en.cppreference.com/w/cpp/concept/RandomAccessIterator):
+ The iterator that can be moved to point (forward and backward) to any
+ element in constant time.
+ - [OutputIterator](http://en.cppreference.com/w/cpp/concept/OutputIterator):
+ It is possible to write to the pointed-to element.
+
+ @since version 1.0.0
+ */
+ class iterator : public const_iterator
+ {
+ public:
+ using base_iterator = const_iterator;
+ using pointer = typename basic_json::pointer;
+ using reference = typename basic_json::reference;
+
+ /// default constructor
+ iterator() = default;
+
+ /// constructor for a given JSON instance
+ explicit iterator(pointer object) noexcept
+ : base_iterator(object)
+ {}
+
+ /// copy constructor
+ iterator(const iterator& other) noexcept
+ : base_iterator(other)
+ {}
+
+ /// copy assignment
+ iterator& operator=(iterator other) noexcept(
+ std::is_nothrow_move_constructible<pointer>::value and
+ std::is_nothrow_move_assignable<pointer>::value and
+ std::is_nothrow_move_constructible<internal_iterator>::value and
+ std::is_nothrow_move_assignable<internal_iterator>::value
+ )
+ {
+ base_iterator::operator=(other);
+ return *this;
+ }
+
+ /// return a reference to the value pointed to by the iterator
+ reference operator*() const
+ {
+ return const_cast<reference>(base_iterator::operator*());
+ }
+
+ /// dereference the iterator
+ pointer operator->() const
+ {
+ return const_cast<pointer>(base_iterator::operator->());
+ }
+
+ /// post-increment (it++)
+ iterator operator++(int)
+ {
+ iterator result = *this;
+ base_iterator::operator++();
+ return result;
+ }
+
+ /// pre-increment (++it)
+ iterator& operator++()
+ {
+ base_iterator::operator++();
+ return *this;
+ }
+
+ /// post-decrement (it--)
+ iterator operator--(int)
+ {
+ iterator result = *this;
+ base_iterator::operator--();
+ return result;
+ }
+
+ /// pre-decrement (--it)
+ iterator& operator--()
+ {
+ base_iterator::operator--();
+ return *this;
+ }
+
+ /// add to iterator
+ iterator& operator+=(difference_type i)
+ {
+ base_iterator::operator+=(i);
+ return *this;
+ }
+
+ /// subtract from iterator
+ iterator& operator-=(difference_type i)
+ {
+ base_iterator::operator-=(i);
+ return *this;
+ }
+
+ /// add to iterator
+ iterator operator+(difference_type i)
+ {
+ auto result = *this;
+ result += i;
+ return result;
+ }
+
+ /// subtract from iterator
+ iterator operator-(difference_type i)
+ {
+ auto result = *this;
+ result -= i;
+ return result;
+ }
+
+ /// return difference
+ difference_type operator-(const iterator& other) const
+ {
+ return base_iterator::operator-(other);
+ }
+
+ /// access to successor
+ reference operator[](difference_type n) const
+ {
+ return const_cast<reference>(base_iterator::operator[](n));
+ }
+
+ /// return the value of an iterator
+ reference value() const
+ {
+ return const_cast<reference>(base_iterator::value());
+ }
+ };
+
+ /*!
+ @brief a template for a reverse iterator class
+
+ @tparam Base the base iterator type to reverse. Valid types are @ref
+ iterator (to create @ref reverse_iterator) and @ref const_iterator (to
+ create @ref const_reverse_iterator).
+
+ @requirement The class satisfies the following concept requirements:
+ - [RandomAccessIterator](http://en.cppreference.com/w/cpp/concept/RandomAccessIterator):
+ The iterator that can be moved to point (forward and backward) to any
+ element in constant time.
+ - [OutputIterator](http://en.cppreference.com/w/cpp/concept/OutputIterator):
+ It is possible to write to the pointed-to element (only if @a Base is
+ @ref iterator).
+
+ @since version 1.0.0
+ */
+ template<typename Base>
+ class json_reverse_iterator : public std::reverse_iterator<Base>
+ {
+ public:
+ /// shortcut to the reverse iterator adaptor
+ using base_iterator = std::reverse_iterator<Base>;
+ /// the reference type for the pointed-to element
+ using reference = typename Base::reference;
+
+ /// create reverse iterator from iterator
+ json_reverse_iterator(const typename base_iterator::iterator_type& it) noexcept
+ : base_iterator(it)
+ {}
+
+ /// create reverse iterator from base class
+ json_reverse_iterator(const base_iterator& it) noexcept
+ : base_iterator(it)
+ {}
+
+ /// post-increment (it++)
+ json_reverse_iterator operator++(int)
+ {
+ return base_iterator::operator++(1);
+ }
+
+ /// pre-increment (++it)
+ json_reverse_iterator& operator++()
+ {
+ base_iterator::operator++();
+ return *this;
+ }
+
+ /// post-decrement (it--)
+ json_reverse_iterator operator--(int)
+ {
+ return base_iterator::operator--(1);
+ }
+
+ /// pre-decrement (--it)
+ json_reverse_iterator& operator--()
+ {
+ base_iterator::operator--();
+ return *this;
+ }
+
+ /// add to iterator
+ json_reverse_iterator& operator+=(difference_type i)
+ {
+ base_iterator::operator+=(i);
+ return *this;
+ }
+
+ /// add to iterator
+ json_reverse_iterator operator+(difference_type i) const
+ {
+ auto result = *this;
+ result += i;
+ return result;
+ }
+
+ /// subtract from iterator
+ json_reverse_iterator operator-(difference_type i) const
+ {
+ auto result = *this;
+ result -= i;
+ return result;
+ }
+
+ /// return difference
+ difference_type operator-(const json_reverse_iterator& other) const
+ {
+ return this->base() - other.base();
+ }
+
+ /// access to successor
+ reference operator[](difference_type n) const
+ {
+ return *(this->operator+(n));
+ }
+
+ /// return the key of an object iterator
+ typename object_t::key_type key() const
+ {
+ auto it = --this->base();
+ return it.key();
+ }
+
+ /// return the value of an iterator
+ reference value() const
+ {
+ auto it = --this->base();
+ return it.operator * ();
+ }
+ };
+
+
+ private:
+ //////////////////////
+ // lexer and parser //
+ //////////////////////
+
+ /*!
+ @brief lexical analysis
+
+ This class organizes the lexical analysis during JSON deserialization. The
+ core of it is a scanner generated by [re2c](http://re2c.org) that
+ processes a buffer and recognizes tokens according to RFC 7159.
+ */
+ class lexer
+ {
+ public:
+ /// token types for the parser
+ enum class token_type
+ {
+ uninitialized, ///< indicating the scanner is uninitialized
+ literal_true, ///< the `true` literal
+ literal_false, ///< the `false` literal
+ literal_null, ///< the `null` literal
+ value_string, ///< a string -- use get_string() for actual value
+ value_number, ///< a number -- use get_number() for actual value
+ begin_array, ///< the character for array begin `[`
+ begin_object, ///< the character for object begin `{`
+ end_array, ///< the character for array end `]`
+ end_object, ///< the character for object end `}`
+ name_separator, ///< the name separator `:`
+ value_separator, ///< the value separator `,`
+ parse_error, ///< indicating a parse error
+ end_of_input ///< indicating the end of the input buffer
+ };
+
+ /// the char type to use in the lexer
+ using lexer_char_t = unsigned char;
+
+ /// a lexer from a buffer with given length
+ lexer(const lexer_char_t* buff, const size_t len) noexcept
+ : m_content(buff)
+ {
+ assert(m_content != nullptr);
+ m_start = m_cursor = m_content;
+ m_limit = m_content + len;
+ }
+
+ /// a lexer from an input stream
+ explicit lexer(std::istream& s)
+ : m_stream(&s), m_line_buffer()
+ {
+ // fill buffer
+ fill_line_buffer();
+ }
+
+ // switch off unwanted functions (due to pointer members)
+ lexer() = delete;
+ lexer(const lexer&) = delete;
+ lexer operator=(const lexer&) = delete;
+
+ /*!
+ @brief create a string from one or two Unicode code points
+
+ There are two cases: (1) @a codepoint1 is in the Basic Multilingual
+ Plane (U+0000 through U+FFFF) and @a codepoint2 is 0, or (2)
+ @a codepoint1 and @a codepoint2 are a UTF-16 surrogate pair to
+ represent a code point above U+FFFF.
+
+ @param[in] codepoint1 the code point (can be high surrogate)
+ @param[in] codepoint2 the code point (can be low surrogate or 0)
+
+ @return string representation of the code point; the length of the
+ result string is between 1 and 4 characters.
+
+ @throw std::out_of_range if code point is > 0x10ffff; example: `"code
+ points above 0x10FFFF are invalid"`
+ @throw std::invalid_argument if the low surrogate is invalid; example:
+ `""missing or wrong low surrogate""`
+
+ @complexity Constant.
+
+ @see <http://en.wikipedia.org/wiki/UTF-8#Sample_code>
+ */
+ static string_t to_unicode(const std::size_t codepoint1,
+ const std::size_t codepoint2 = 0)
+ {
+ // calculate the code point from the given code points
+ std::size_t codepoint = codepoint1;
+
+ // check if codepoint1 is a high surrogate
+ if (codepoint1 >= 0xD800 and codepoint1 <= 0xDBFF)
+ {
+ // check if codepoint2 is a low surrogate
+ if (codepoint2 >= 0xDC00 and codepoint2 <= 0xDFFF)
+ {
+ codepoint =
+ // high surrogate occupies the most significant 22 bits
+ (codepoint1 << 10)
+ // low surrogate occupies the least significant 15 bits
+ + codepoint2
+ // there is still the 0xD800, 0xDC00 and 0x10000 noise
+ // in the result so we have to subtract with:
+ // (0xD800 << 10) + DC00 - 0x10000 = 0x35FDC00
+ - 0x35FDC00;
+ }
+ else
+ {
+ throw std::invalid_argument("missing or wrong low surrogate");
+ }
+ }
+
+ string_t result;
+
+ if (codepoint < 0x80)
+ {
+ // 1-byte characters: 0xxxxxxx (ASCII)
+ result.append(1, static_cast<typename string_t::value_type>(codepoint));
+ }
+ else if (codepoint <= 0x7ff)
+ {
+ // 2-byte characters: 110xxxxx 10xxxxxx
+ result.append(1, static_cast<typename string_t::value_type>(0xC0 | ((codepoint >> 6) & 0x1F)));
+ result.append(1, static_cast<typename string_t::value_type>(0x80 | (codepoint & 0x3F)));
+ }
+ else if (codepoint <= 0xffff)
+ {
+ // 3-byte characters: 1110xxxx 10xxxxxx 10xxxxxx
+ result.append(1, static_cast<typename string_t::value_type>(0xE0 | ((codepoint >> 12) & 0x0F)));
+ result.append(1, static_cast<typename string_t::value_type>(0x80 | ((codepoint >> 6) & 0x3F)));
+ result.append(1, static_cast<typename string_t::value_type>(0x80 | (codepoint & 0x3F)));
+ }
+ else if (codepoint <= 0x10ffff)
+ {
+ // 4-byte characters: 11110xxx 10xxxxxx 10xxxxxx 10xxxxxx
+ result.append(1, static_cast<typename string_t::value_type>(0xF0 | ((codepoint >> 18) & 0x07)));
+ result.append(1, static_cast<typename string_t::value_type>(0x80 | ((codepoint >> 12) & 0x3F)));
+ result.append(1, static_cast<typename string_t::value_type>(0x80 | ((codepoint >> 6) & 0x3F)));
+ result.append(1, static_cast<typename string_t::value_type>(0x80 | (codepoint & 0x3F)));
+ }
+ else
+ {
+ throw std::out_of_range("code points above 0x10FFFF are invalid");
+ }
+
+ return result;
+ }
+
+ /// return name of values of type token_type (only used for errors)
+ static std::string token_type_name(const token_type t)
+ {
+ switch (t)
+ {
+ case token_type::uninitialized:
+ return "<uninitialized>";
+ case token_type::literal_true:
+ return "true literal";
+ case token_type::literal_false:
+ return "false literal";
+ case token_type::literal_null:
+ return "null literal";
+ case token_type::value_string:
+ return "string literal";
+ case token_type::value_number:
+ return "number literal";
+ case token_type::begin_array:
+ return "'['";
+ case token_type::begin_object:
+ return "'{'";
+ case token_type::end_array:
+ return "']'";
+ case token_type::end_object:
+ return "'}'";
+ case token_type::name_separator:
+ return "':'";
+ case token_type::value_separator:
+ return "','";
+ case token_type::parse_error:
+ return "<parse error>";
+ case token_type::end_of_input:
+ return "end of input";
+ default:
+ {
+ // catch non-enum values
+ return "unknown token"; // LCOV_EXCL_LINE
+ }
+ }
+ }
+
+ /*!
+ This function implements a scanner for JSON. It is specified using
+ regular expressions that try to follow RFC 7159 as close as possible.
+ These regular expressions are then translated into a minimized
+ deterministic finite automaton (DFA) by the tool
+ [re2c](http://re2c.org). As a result, the translated code for this
+ function consists of a large block of code with `goto` jumps.
+
+ @return the class of the next token read from the buffer
+
+ @complexity Linear in the length of the input.\n
+
+ Proposition: The loop below will always terminate for finite input.\n
+
+ Proof (by contradiction): Assume a finite input. To loop forever, the
+ loop must never hit code with a `break` statement. The only code
+ snippets without a `break` statement are the continue statements for
+ whitespace and byte-order-marks. To loop forever, the input must be an
+ infinite sequence of whitespace or byte-order-marks. This contradicts
+ the assumption of finite input, q.e.d.
+ */
+ token_type scan()
+ {
+ while (true)
+ {
+ // pointer for backtracking information
+ m_marker = nullptr;
+
+ // remember the begin of the token
+ m_start = m_cursor;
+ assert(m_start != nullptr);
+
+
+ {
+ lexer_char_t yych;
+ unsigned int yyaccept = 0;
+ static const unsigned char yybm[] =
+ {
+ 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 32, 32, 0, 0, 32, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0,
+ 0, 0, 0, 0, 0, 0, 0, 0,
+ 160, 128, 0, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 192, 192, 192, 192, 192, 192, 192, 192,
+ 192, 192, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 0, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ 128, 128, 128, 128, 128, 128, 128, 128,
+ };
+ if ((m_limit - m_cursor) < 5)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yybm[0 + yych] & 32)
+ {
+ goto basic_json_parser_6;
+ }
+ if (yych <= '\\')
+ {
+ if (yych <= '-')
+ {
+ if (yych <= '"')
+ {
+ if (yych <= 0x00)
+ {
+ goto basic_json_parser_2;
+ }
+ if (yych <= '!')
+ {
+ goto basic_json_parser_4;
+ }
+ goto basic_json_parser_9;
+ }
+ else
+ {
+ if (yych <= '+')
+ {
+ goto basic_json_parser_4;
+ }
+ if (yych <= ',')
+ {
+ goto basic_json_parser_10;
+ }
+ goto basic_json_parser_12;
+ }
+ }
+ else
+ {
+ if (yych <= '9')
+ {
+ if (yych <= '/')
+ {
+ goto basic_json_parser_4;
+ }
+ if (yych <= '0')
+ {
+ goto basic_json_parser_13;
+ }
+ goto basic_json_parser_15;
+ }
+ else
+ {
+ if (yych <= ':')
+ {
+ goto basic_json_parser_17;
+ }
+ if (yych == '[')
+ {
+ goto basic_json_parser_19;
+ }
+ goto basic_json_parser_4;
+ }
+ }
+ }
+ else
+ {
+ if (yych <= 't')
+ {
+ if (yych <= 'f')
+ {
+ if (yych <= ']')
+ {
+ goto basic_json_parser_21;
+ }
+ if (yych <= 'e')
+ {
+ goto basic_json_parser_4;
+ }
+ goto basic_json_parser_23;
+ }
+ else
+ {
+ if (yych == 'n')
+ {
+ goto basic_json_parser_24;
+ }
+ if (yych <= 's')
+ {
+ goto basic_json_parser_4;
+ }
+ goto basic_json_parser_25;
+ }
+ }
+ else
+ {
+ if (yych <= '|')
+ {
+ if (yych == '{')
+ {
+ goto basic_json_parser_26;
+ }
+ goto basic_json_parser_4;
+ }
+ else
+ {
+ if (yych <= '}')
+ {
+ goto basic_json_parser_28;
+ }
+ if (yych == 0xEF)
+ {
+ goto basic_json_parser_30;
+ }
+ goto basic_json_parser_4;
+ }
+ }
+ }
+basic_json_parser_2:
+ ++m_cursor;
+ {
+ last_token_type = token_type::end_of_input;
+ break;
+ }
+basic_json_parser_4:
+ ++m_cursor;
+basic_json_parser_5:
+ {
+ last_token_type = token_type::parse_error;
+ break;
+ }
+basic_json_parser_6:
+ ++m_cursor;
+ if (m_limit <= m_cursor)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yybm[0 + yych] & 32)
+ {
+ goto basic_json_parser_6;
+ }
+ {
+ continue;
+ }
+basic_json_parser_9:
+ yyaccept = 0;
+ yych = *(m_marker = ++m_cursor);
+ if (yych <= 0x1F)
+ {
+ goto basic_json_parser_5;
+ }
+ goto basic_json_parser_32;
+basic_json_parser_10:
+ ++m_cursor;
+ {
+ last_token_type = token_type::value_separator;
+ break;
+ }
+basic_json_parser_12:
+ yych = *++m_cursor;
+ if (yych <= '/')
+ {
+ goto basic_json_parser_5;
+ }
+ if (yych <= '0')
+ {
+ goto basic_json_parser_13;
+ }
+ if (yych <= '9')
+ {
+ goto basic_json_parser_15;
+ }
+ goto basic_json_parser_5;
+basic_json_parser_13:
+ yyaccept = 1;
+ yych = *(m_marker = ++m_cursor);
+ if (yych <= 'D')
+ {
+ if (yych == '.')
+ {
+ goto basic_json_parser_37;
+ }
+ }
+ else
+ {
+ if (yych <= 'E')
+ {
+ goto basic_json_parser_38;
+ }
+ if (yych == 'e')
+ {
+ goto basic_json_parser_38;
+ }
+ }
+basic_json_parser_14:
+ {
+ last_token_type = token_type::value_number;
+ break;
+ }
+basic_json_parser_15:
+ yyaccept = 1;
+ m_marker = ++m_cursor;
+ if ((m_limit - m_cursor) < 3)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yybm[0 + yych] & 64)
+ {
+ goto basic_json_parser_15;
+ }
+ if (yych <= 'D')
+ {
+ if (yych == '.')
+ {
+ goto basic_json_parser_37;
+ }
+ goto basic_json_parser_14;
+ }
+ else
+ {
+ if (yych <= 'E')
+ {
+ goto basic_json_parser_38;
+ }
+ if (yych == 'e')
+ {
+ goto basic_json_parser_38;
+ }
+ goto basic_json_parser_14;
+ }
+basic_json_parser_17:
+ ++m_cursor;
+ {
+ last_token_type = token_type::name_separator;
+ break;
+ }
+basic_json_parser_19:
+ ++m_cursor;
+ {
+ last_token_type = token_type::begin_array;
+ break;
+ }
+basic_json_parser_21:
+ ++m_cursor;
+ {
+ last_token_type = token_type::end_array;
+ break;
+ }
+basic_json_parser_23:
+ yyaccept = 0;
+ yych = *(m_marker = ++m_cursor);
+ if (yych == 'a')
+ {
+ goto basic_json_parser_39;
+ }
+ goto basic_json_parser_5;
+basic_json_parser_24:
+ yyaccept = 0;
+ yych = *(m_marker = ++m_cursor);
+ if (yych == 'u')
+ {
+ goto basic_json_parser_40;
+ }
+ goto basic_json_parser_5;
+basic_json_parser_25:
+ yyaccept = 0;
+ yych = *(m_marker = ++m_cursor);
+ if (yych == 'r')
+ {
+ goto basic_json_parser_41;
+ }
+ goto basic_json_parser_5;
+basic_json_parser_26:
+ ++m_cursor;
+ {
+ last_token_type = token_type::begin_object;
+ break;
+ }
+basic_json_parser_28:
+ ++m_cursor;
+ {
+ last_token_type = token_type::end_object;
+ break;
+ }
+basic_json_parser_30:
+ yyaccept = 0;
+ yych = *(m_marker = ++m_cursor);
+ if (yych == 0xBB)
+ {
+ goto basic_json_parser_42;
+ }
+ goto basic_json_parser_5;
+basic_json_parser_31:
+ ++m_cursor;
+ if (m_limit <= m_cursor)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+basic_json_parser_32:
+ if (yybm[0 + yych] & 128)
+ {
+ goto basic_json_parser_31;
+ }
+ if (yych <= 0x1F)
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= '"')
+ {
+ goto basic_json_parser_34;
+ }
+ goto basic_json_parser_36;
+basic_json_parser_33:
+ m_cursor = m_marker;
+ if (yyaccept == 0)
+ {
+ goto basic_json_parser_5;
+ }
+ else
+ {
+ goto basic_json_parser_14;
+ }
+basic_json_parser_34:
+ ++m_cursor;
+ {
+ last_token_type = token_type::value_string;
+ break;
+ }
+basic_json_parser_36:
+ ++m_cursor;
+ if (m_limit <= m_cursor)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yych <= 'e')
+ {
+ if (yych <= '/')
+ {
+ if (yych == '"')
+ {
+ goto basic_json_parser_31;
+ }
+ if (yych <= '.')
+ {
+ goto basic_json_parser_33;
+ }
+ goto basic_json_parser_31;
+ }
+ else
+ {
+ if (yych <= '\\')
+ {
+ if (yych <= '[')
+ {
+ goto basic_json_parser_33;
+ }
+ goto basic_json_parser_31;
+ }
+ else
+ {
+ if (yych == 'b')
+ {
+ goto basic_json_parser_31;
+ }
+ goto basic_json_parser_33;
+ }
+ }
+ }
+ else
+ {
+ if (yych <= 'q')
+ {
+ if (yych <= 'f')
+ {
+ goto basic_json_parser_31;
+ }
+ if (yych == 'n')
+ {
+ goto basic_json_parser_31;
+ }
+ goto basic_json_parser_33;
+ }
+ else
+ {
+ if (yych <= 's')
+ {
+ if (yych <= 'r')
+ {
+ goto basic_json_parser_31;
+ }
+ goto basic_json_parser_33;
+ }
+ else
+ {
+ if (yych <= 't')
+ {
+ goto basic_json_parser_31;
+ }
+ if (yych <= 'u')
+ {
+ goto basic_json_parser_43;
+ }
+ goto basic_json_parser_33;
+ }
+ }
+ }
+basic_json_parser_37:
+ yych = *++m_cursor;
+ if (yych <= '/')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= '9')
+ {
+ goto basic_json_parser_44;
+ }
+ goto basic_json_parser_33;
+basic_json_parser_38:
+ yych = *++m_cursor;
+ if (yych <= ',')
+ {
+ if (yych == '+')
+ {
+ goto basic_json_parser_46;
+ }
+ goto basic_json_parser_33;
+ }
+ else
+ {
+ if (yych <= '-')
+ {
+ goto basic_json_parser_46;
+ }
+ if (yych <= '/')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= '9')
+ {
+ goto basic_json_parser_47;
+ }
+ goto basic_json_parser_33;
+ }
+basic_json_parser_39:
+ yych = *++m_cursor;
+ if (yych == 'l')
+ {
+ goto basic_json_parser_49;
+ }
+ goto basic_json_parser_33;
+basic_json_parser_40:
+ yych = *++m_cursor;
+ if (yych == 'l')
+ {
+ goto basic_json_parser_50;
+ }
+ goto basic_json_parser_33;
+basic_json_parser_41:
+ yych = *++m_cursor;
+ if (yych == 'u')
+ {
+ goto basic_json_parser_51;
+ }
+ goto basic_json_parser_33;
+basic_json_parser_42:
+ yych = *++m_cursor;
+ if (yych == 0xBF)
+ {
+ goto basic_json_parser_52;
+ }
+ goto basic_json_parser_33;
+basic_json_parser_43:
+ ++m_cursor;
+ if (m_limit <= m_cursor)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yych <= '@')
+ {
+ if (yych <= '/')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= '9')
+ {
+ goto basic_json_parser_54;
+ }
+ goto basic_json_parser_33;
+ }
+ else
+ {
+ if (yych <= 'F')
+ {
+ goto basic_json_parser_54;
+ }
+ if (yych <= '`')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= 'f')
+ {
+ goto basic_json_parser_54;
+ }
+ goto basic_json_parser_33;
+ }
+basic_json_parser_44:
+ yyaccept = 1;
+ m_marker = ++m_cursor;
+ if ((m_limit - m_cursor) < 3)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yych <= 'D')
+ {
+ if (yych <= '/')
+ {
+ goto basic_json_parser_14;
+ }
+ if (yych <= '9')
+ {
+ goto basic_json_parser_44;
+ }
+ goto basic_json_parser_14;
+ }
+ else
+ {
+ if (yych <= 'E')
+ {
+ goto basic_json_parser_38;
+ }
+ if (yych == 'e')
+ {
+ goto basic_json_parser_38;
+ }
+ goto basic_json_parser_14;
+ }
+basic_json_parser_46:
+ yych = *++m_cursor;
+ if (yych <= '/')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych >= ':')
+ {
+ goto basic_json_parser_33;
+ }
+basic_json_parser_47:
+ ++m_cursor;
+ if (m_limit <= m_cursor)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yych <= '/')
+ {
+ goto basic_json_parser_14;
+ }
+ if (yych <= '9')
+ {
+ goto basic_json_parser_47;
+ }
+ goto basic_json_parser_14;
+basic_json_parser_49:
+ yych = *++m_cursor;
+ if (yych == 's')
+ {
+ goto basic_json_parser_55;
+ }
+ goto basic_json_parser_33;
+basic_json_parser_50:
+ yych = *++m_cursor;
+ if (yych == 'l')
+ {
+ goto basic_json_parser_56;
+ }
+ goto basic_json_parser_33;
+basic_json_parser_51:
+ yych = *++m_cursor;
+ if (yych == 'e')
+ {
+ goto basic_json_parser_58;
+ }
+ goto basic_json_parser_33;
+basic_json_parser_52:
+ ++m_cursor;
+ {
+ continue;
+ }
+basic_json_parser_54:
+ ++m_cursor;
+ if (m_limit <= m_cursor)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yych <= '@')
+ {
+ if (yych <= '/')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= '9')
+ {
+ goto basic_json_parser_60;
+ }
+ goto basic_json_parser_33;
+ }
+ else
+ {
+ if (yych <= 'F')
+ {
+ goto basic_json_parser_60;
+ }
+ if (yych <= '`')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= 'f')
+ {
+ goto basic_json_parser_60;
+ }
+ goto basic_json_parser_33;
+ }
+basic_json_parser_55:
+ yych = *++m_cursor;
+ if (yych == 'e')
+ {
+ goto basic_json_parser_61;
+ }
+ goto basic_json_parser_33;
+basic_json_parser_56:
+ ++m_cursor;
+ {
+ last_token_type = token_type::literal_null;
+ break;
+ }
+basic_json_parser_58:
+ ++m_cursor;
+ {
+ last_token_type = token_type::literal_true;
+ break;
+ }
+basic_json_parser_60:
+ ++m_cursor;
+ if (m_limit <= m_cursor)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yych <= '@')
+ {
+ if (yych <= '/')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= '9')
+ {
+ goto basic_json_parser_63;
+ }
+ goto basic_json_parser_33;
+ }
+ else
+ {
+ if (yych <= 'F')
+ {
+ goto basic_json_parser_63;
+ }
+ if (yych <= '`')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= 'f')
+ {
+ goto basic_json_parser_63;
+ }
+ goto basic_json_parser_33;
+ }
+basic_json_parser_61:
+ ++m_cursor;
+ {
+ last_token_type = token_type::literal_false;
+ break;
+ }
+basic_json_parser_63:
+ ++m_cursor;
+ if (m_limit <= m_cursor)
+ {
+ fill_line_buffer();
+ }
+ yych = *m_cursor;
+ if (yych <= '@')
+ {
+ if (yych <= '/')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= '9')
+ {
+ goto basic_json_parser_31;
+ }
+ goto basic_json_parser_33;
+ }
+ else
+ {
+ if (yych <= 'F')
+ {
+ goto basic_json_parser_31;
+ }
+ if (yych <= '`')
+ {
+ goto basic_json_parser_33;
+ }
+ if (yych <= 'f')
+ {
+ goto basic_json_parser_31;
+ }
+ goto basic_json_parser_33;
+ }
+ }
+
+ }
+
+ return last_token_type;
+ }
+
+ /*!
+ @brief append data from the stream to the line buffer
+
+ This function is called by the scan() function when the end of the
+ buffer (`m_limit`) is reached and the `m_cursor` pointer cannot be
+ incremented without leaving the limits of the line buffer. Note re2c
+ decides when to call this function.
+
+ If the lexer reads from contiguous storage, there is no trailing null
+ byte. Therefore, this function must make sure to add these padding
+ null bytes.
+
+ If the lexer reads from an input stream, this function reads the next
+ line of the input.
+
+ @pre
+ p p p p p p u u u u u x . . . . . .
+ ^ ^ ^ ^
+ m_content m_start | m_limit
+ m_cursor
+
+ @post
+ u u u u u x x x x x x x . . . . . .
+ ^ ^ ^
+ | m_cursor m_limit
+ m_start
+ m_content
+ */
+ void fill_line_buffer()
+ {
+ // number of processed characters (p)
+ const auto offset_start = m_start - m_content;
+ // offset for m_marker wrt. to m_start
+ const auto offset_marker = (m_marker == nullptr) ? 0 : m_marker - m_start;
+ // number of unprocessed characters (u)
+ const auto offset_cursor = m_cursor - m_start;
+
+ // no stream is used or end of file is reached
+ if (m_stream == nullptr or not * m_stream)
+ {
+ // copy unprocessed characters to line buffer
+ m_line_buffer.clear();
+ for (m_cursor = m_start; m_cursor != m_limit; ++m_cursor)
+ {
+ m_line_buffer.append(1, static_cast<const char>(*m_cursor));
+ }
+
+ // append 5 characters (size of longest keyword "false") to
+ // make sure that there is sufficient space between m_cursor
+ // and m_limit
+ m_line_buffer.append(5, '\0');
+ }
+ else
+ {
+ // delete processed characters from line buffer
+ m_line_buffer.erase(0, static_cast<size_t>(offset_start));
+ // read next line from input stream
+ std::string line;
+ std::getline(*m_stream, line);
+ // add line with newline symbol to the line buffer
+ m_line_buffer += "\n" + line;
+ }
+
+ // set pointers
+ m_content = reinterpret_cast<const lexer_char_t*>(m_line_buffer.c_str());
+ assert(m_content != nullptr);
+ m_start = m_content;
+ m_marker = m_start + offset_marker;
+ m_cursor = m_start + offset_cursor;
+ m_limit = m_start + m_line_buffer.size();
+ }
+
+ /// return string representation of last read token
+ string_t get_token_string() const
+ {
+ assert(m_start != nullptr);
+ return string_t(reinterpret_cast<typename string_t::const_pointer>(m_start),
+ static_cast<size_t>(m_cursor - m_start));
+ }
+
+ /*!
+ @brief return string value for string tokens
+
+ The function iterates the characters between the opening and closing
+ quotes of the string value. The complete string is the range
+ [m_start,m_cursor). Consequently, we iterate from m_start+1 to
+ m_cursor-1.
+
+ We differentiate two cases:
+
+ 1. Escaped characters. In this case, a new character is constructed
+ according to the nature of the escape. Some escapes create new
+ characters (e.g., `"\\n"` is replaced by `"\n"`), some are copied
+ as is (e.g., `"\\\\"`). Furthermore, Unicode escapes of the shape
+ `"\\uxxxx"` need special care. In this case, to_unicode takes care
+ of the construction of the values.
+ 2. Unescaped characters are copied as is.
+
+ @pre `m_cursor - m_start >= 2`, meaning the length of the last token
+ is at least 2 bytes which is trivially true for any string (which
+ consists of at least two quotes).
+
+ " c1 c2 c3 ... "
+ ^ ^
+ m_start m_cursor
+
+ @complexity Linear in the length of the string.\n
+
+ Lemma: The loop body will always terminate.\n
+
+ Proof (by contradiction): Assume the loop body does not terminate. As
+ the loop body does not contain another loop, one of the called
+ functions must never return. The called functions are `std::strtoul`
+ and to_unicode. Neither function can loop forever, so the loop body
+ will never loop forever which contradicts the assumption that the loop
+ body does not terminate, q.e.d.\n
+
+ Lemma: The loop condition for the for loop is eventually false.\n
+
+ Proof (by contradiction): Assume the loop does not terminate. Due to
+ the above lemma, this can only be due to a tautological loop
+ condition; that is, the loop condition i < m_cursor - 1 must always be
+ true. Let x be the change of i for any loop iteration. Then
+ m_start + 1 + x < m_cursor - 1 must hold to loop indefinitely. This
+ can be rephrased to m_cursor - m_start - 2 > x. With the
+ precondition, we x <= 0, meaning that the loop condition holds
+ indefinitly if i is always decreased. However, observe that the value
+ of i is strictly increasing with each iteration, as it is incremented
+ by 1 in the iteration expression and never decremented inside the loop
+ body. Hence, the loop condition will eventually be false which
+ contradicts the assumption that the loop condition is a tautology,
+ q.e.d.
+
+ @return string value of current token without opening and closing
+ quotes
+ @throw std::out_of_range if to_unicode fails
+ */
+ string_t get_string() const
+ {
+ assert(m_cursor - m_start >= 2);
+
+ string_t result;
+ result.reserve(static_cast<size_t>(m_cursor - m_start - 2));
+
+ // iterate the result between the quotes
+ for (const lexer_char_t* i = m_start + 1; i < m_cursor - 1; ++i)
+ {
+ // process escaped characters
+ if (*i == '\\')
+ {
+ // read next character
+ ++i;
+
+ switch (*i)
+ {
+ // the default escapes
+ case 't':
+ {
+ result += "\t";
+ break;
+ }
+ case 'b':
+ {
+ result += "\b";
+ break;
+ }
+ case 'f':
+ {
+ result += "\f";
+ break;
+ }
+ case 'n':
+ {
+ result += "\n";
+ break;
+ }
+ case 'r':
+ {
+ result += "\r";
+ break;
+ }
+ case '\\':
+ {
+ result += "\\";
+ break;
+ }
+ case '/':
+ {
+ result += "/";
+ break;
+ }
+ case '"':
+ {
+ result += "\"";
+ break;
+ }
+
+ // unicode
+ case 'u':
+ {
+ // get code xxxx from uxxxx
+ auto codepoint = std::strtoul(std::string(reinterpret_cast<typename string_t::const_pointer>(i + 1),
+ 4).c_str(), nullptr, 16);
+
+ // check if codepoint is a high surrogate
+ if (codepoint >= 0xD800 and codepoint <= 0xDBFF)
+ {
+ // make sure there is a subsequent unicode
+ if ((i + 6 >= m_limit) or * (i + 5) != '\\' or * (i + 6) != 'u')
+ {
+ throw std::invalid_argument("missing low surrogate");
+ }
+
+ // get code yyyy from uxxxx\uyyyy
+ auto codepoint2 = std::strtoul(std::string(reinterpret_cast<typename string_t::const_pointer>
+ (i + 7), 4).c_str(), nullptr, 16);
+ result += to_unicode(codepoint, codepoint2);
+ // skip the next 10 characters (xxxx\uyyyy)
+ i += 10;
+ }
+ else
+ {
+ // add unicode character(s)
+ result += to_unicode(codepoint);
+ // skip the next four characters (xxxx)
+ i += 4;
+ }
+ break;
+ }
+ }
+ }
+ else
+ {
+ // all other characters are just copied to the end of the
+ // string
+ result.append(1, static_cast<typename string_t::value_type>(*i));
+ }
+ }
+
+ return result;
+ }
+
+ /*!
+ @brief parse floating point number
+
+ This function (and its overloads) serves to select the most approprate
+ standard floating point number parsing function based on the type
+ supplied via the first parameter. Set this to @a
+ static_cast<number_float_t*>(nullptr).
+
+ @param[in] type the @ref number_float_t in use
+
+ @param[in,out] endptr recieves a pointer to the first character after
+ the number
+
+ @return the floating point number
+ */
+ long double str_to_float_t(long double* /* type */, char** endptr) const
+ {
+ return std::strtold(reinterpret_cast<typename string_t::const_pointer>(m_start), endptr);
+ }
+
+ /*!
+ @brief parse floating point number
+
+ This function (and its overloads) serves to select the most approprate
+ standard floating point number parsing function based on the type
+ supplied via the first parameter. Set this to @a
+ static_cast<number_float_t*>(nullptr).
+
+ @param[in] type the @ref number_float_t in use
+
+ @param[in,out] endptr recieves a pointer to the first character after
+ the number
+
+ @return the floating point number
+ */
+ double str_to_float_t(double* /* type */, char** endptr) const
+ {
+ return std::strtod(reinterpret_cast<typename string_t::const_pointer>(m_start), endptr);
+ }
+
+ /*!
+ @brief parse floating point number
+
+ This function (and its overloads) serves to select the most approprate
+ standard floating point number parsing function based on the type
+ supplied via the first parameter. Set this to @a
+ static_cast<number_float_t*>(nullptr).
+
+ @param[in] type the @ref number_float_t in use
+
+ @param[in,out] endptr recieves a pointer to the first character after
+ the number
+
+ @return the floating point number
+ */
+ float str_to_float_t(float* /* type */, char** endptr) const
+ {
+ return std::strtof(reinterpret_cast<typename string_t::const_pointer>(m_start), endptr);
+ }
+
+ /*!
+ @brief return number value for number tokens
+
+ This function translates the last token into the most appropriate
+ number type (either integer, unsigned integer or floating point),
+ which is passed back to the caller via the result parameter.
+
+ This function parses the integer component up to the radix point or
+ exponent while collecting information about the 'floating point
+ representation', which it stores in the result parameter. If there is
+ no radix point or exponent, and the number can fit into a @ref
+ number_integer_t or @ref number_unsigned_t then it sets the result
+ parameter accordingly.
+
+ If the number is a floating point number the number is then parsed
+ using @a std:strtod (or @a std:strtof or @a std::strtold).
+
+ @param[out] result @ref basic_json object to receive the number, or
+ NAN if the conversion read past the current token. The latter case
+ needs to be treated by the caller function.
+ */
+ void get_number(basic_json& result) const
+ {
+ assert(m_start != nullptr);
+
+ const lexer::lexer_char_t* curptr = m_start;
+
+ // accumulate the integer conversion result (unsigned for now)
+ number_unsigned_t value = 0;
+
+ // maximum absolute value of the relevant integer type
+ number_unsigned_t max;
+
+ // temporarily store the type to avoid unecessary bitfield access
+ value_t type;
+
+ // look for sign
+ if (*curptr == '-')
+ {
+ type = value_t::number_integer;
+ max = static_cast<uint64_t>((std::numeric_limits<number_integer_t>::max)()) + 1;
+ curptr++;
+ }
+ else
+ {
+ type = value_t::number_unsigned;
+ max = static_cast<uint64_t>((std::numeric_limits<number_unsigned_t>::max)());
+ }
+
+ // count the significant figures
+ for (; curptr < m_cursor; curptr++)
+ {
+ // quickly skip tests if a digit
+ if (*curptr < '0' || *curptr > '9')
+ {
+ if (*curptr == '.')
+ {
+ // don't count '.' but change to float
+ type = value_t::number_float;
+ continue;
+ }
+ // assume exponent (if not then will fail parse): change to
+ // float, stop counting and record exponent details
+ type = value_t::number_float;
+ break;
+ }
+
+ // skip if definitely not an integer
+ if (type != value_t::number_float)
+ {
+ // multiply last value by ten and add the new digit
+ auto temp = value * 10 + *curptr - '0';
+
+ // test for overflow
+ if (temp < value || temp > max)
+ {
+ // overflow
+ type = value_t::number_float;
+ }
+ else
+ {
+ // no overflow - save it
+ value = temp;
+ }
+ }
+ }
+
+ // save the value (if not a float)
+ if (type == value_t::number_unsigned)
+ {
+ result.m_value.number_unsigned = value;
+ }
+ else if (type == value_t::number_integer)
+ {
+ result.m_value.number_integer = -static_cast<number_integer_t>(value);
+ }
+ else
+ {
+ // parse with strtod
+ result.m_value.number_float = str_to_float_t(static_cast<number_float_t*>(nullptr), NULL);
+ }
+
+ // save the type
+ result.m_type = type;
+ }
+
+ private:
+ /// optional input stream
+ std::istream* m_stream = nullptr;
+ /// line buffer buffer for m_stream
+ string_t m_line_buffer {};
+ /// the buffer pointer
+ const lexer_char_t* m_content = nullptr;
+ /// pointer to the beginning of the current symbol
+ const lexer_char_t* m_start = nullptr;
+ /// pointer for backtracking information
+ const lexer_char_t* m_marker = nullptr;
+ /// pointer to the current symbol
+ const lexer_char_t* m_cursor = nullptr;
+ /// pointer to the end of the buffer
+ const lexer_char_t* m_limit = nullptr;
+ /// the last token type
+ token_type last_token_type = token_type::end_of_input;
+ };
+
+ /*!
+ @brief syntax analysis
+
+ This class implements a recursive decent parser.
+ */
+ class parser
+ {
+ public:
+ /// a parser reading from a string literal
+ parser(const char* buff, const parser_callback_t cb = nullptr)
+ : callback(cb),
+ m_lexer(reinterpret_cast<const typename lexer::lexer_char_t*>(buff), strlen(buff))
+ {}
+
+ /// a parser reading from an input stream
+ parser(std::istream& is, const parser_callback_t cb = nullptr)
+ : callback(cb), m_lexer(is)
+ {}
+
+ /// a parser reading from an iterator range with contiguous storage
+ template<class IteratorType, typename std::enable_if<
+ std::is_same<typename std::iterator_traits<IteratorType>::iterator_category, std::random_access_iterator_tag>::value
+ , int>::type
+ = 0>
+ parser(IteratorType first, IteratorType last, const parser_callback_t cb = nullptr)
+ : callback(cb),
+ m_lexer(reinterpret_cast<const typename lexer::lexer_char_t*>(&(*first)),
+ static_cast<size_t>(std::distance(first, last)))
+ {}
+
+ /// public parser interface
+ basic_json parse()
+ {
+ // read first token
+ get_token();
+
+ basic_json result = parse_internal(true);
+ result.assert_invariant();
+
+ expect(lexer::token_type::end_of_input);
+
+ // return parser result and replace it with null in case the
+ // top-level value was discarded by the callback function
+ return result.is_discarded() ? basic_json() : std::move(result);
+ }
+
+ private:
+ /// the actual parser
+ basic_json parse_internal(bool keep)
+ {
+ auto result = basic_json(value_t::discarded);
+
+ switch (last_token)
+ {
+ case lexer::token_type::begin_object:
+ {
+ if (keep and (not callback
+ or ((keep = callback(depth++, parse_event_t::object_start, result)) != 0)))
+ {
+ // explicitly set result to object to cope with {}
+ result.m_type = value_t::object;
+ result.m_value = value_t::object;
+ }
+
+ // read next token
+ get_token();
+
+ // closing } -> we are done
+ if (last_token == lexer::token_type::end_object)
+ {
+ get_token();
+ if (keep and callback and not callback(--depth, parse_event_t::object_end, result))
+ {
+ result = basic_json(value_t::discarded);
+ }
+ return result;
+ }
+
+ // no comma is expected here
+ unexpect(lexer::token_type::value_separator);
+
+ // otherwise: parse key-value pairs
+ do
+ {
+ // ugly, but could be fixed with loop reorganization
+ if (last_token == lexer::token_type::value_separator)
+ {
+ get_token();
+ }
+
+ // store key
+ expect(lexer::token_type::value_string);
+ const auto key = m_lexer.get_string();
+
+ bool keep_tag = false;
+ if (keep)
+ {
+ if (callback)
+ {
+ basic_json k(key);
+ keep_tag = callback(depth, parse_event_t::key, k);
+ }
+ else
+ {
+ keep_tag = true;
+ }
+ }
+
+ // parse separator (:)
+ get_token();
+ expect(lexer::token_type::name_separator);
+
+ // parse and add value
+ get_token();
+ auto value = parse_internal(keep);
+ if (keep and keep_tag and not value.is_discarded())
+ {
+ result[key] = std::move(value);
+ }
+ }
+ while (last_token == lexer::token_type::value_separator);
+
+ // closing }
+ expect(lexer::token_type::end_object);
+ get_token();
+ if (keep and callback and not callback(--depth, parse_event_t::object_end, result))
+ {
+ result = basic_json(value_t::discarded);
+ }
+
+ return result;
+ }
+
+ case lexer::token_type::begin_array:
+ {
+ if (keep and (not callback
+ or ((keep = callback(depth++, parse_event_t::array_start, result)) != 0)))
+ {
+ // explicitly set result to object to cope with []
+ result.m_type = value_t::array;
+ result.m_value = value_t::array;
+ }
+
+ // read next token
+ get_token();
+
+ // closing ] -> we are done
+ if (last_token == lexer::token_type::end_array)
+ {
+ get_token();
+ if (callback and not callback(--depth, parse_event_t::array_end, result))
+ {
+ result = basic_json(value_t::discarded);
+ }
+ return result;
+ }
+
+ // no comma is expected here
+ unexpect(lexer::token_type::value_separator);
+
+ // otherwise: parse values
+ do
+ {
+ // ugly, but could be fixed with loop reorganization
+ if (last_token == lexer::token_type::value_separator)
+ {
+ get_token();
+ }
+
+ // parse value
+ auto value = parse_internal(keep);
+ if (keep and not value.is_discarded())
+ {
+ result.push_back(std::move(value));
+ }
+ }
+ while (last_token == lexer::token_type::value_separator);
+
+ // closing ]
+ expect(lexer::token_type::end_array);
+ get_token();
+ if (keep and callback and not callback(--depth, parse_event_t::array_end, result))
+ {
+ result = basic_json(value_t::discarded);
+ }
+
+ return result;
+ }
+
+ case lexer::token_type::literal_null:
+ {
+ get_token();
+ result.m_type = value_t::null;
+ break;
+ }
+
+ case lexer::token_type::value_string:
+ {
+ const auto s = m_lexer.get_string();
+ get_token();
+ result = basic_json(s);
+ break;
+ }
+
+ case lexer::token_type::literal_true:
+ {
+ get_token();
+ result.m_type = value_t::boolean;
+ result.m_value = true;
+ break;
+ }
+
+ case lexer::token_type::literal_false:
+ {
+ get_token();
+ result.m_type = value_t::boolean;
+ result.m_value = false;
+ break;
+ }
+
+ case lexer::token_type::value_number:
+ {
+ m_lexer.get_number(result);
+ get_token();
+ break;
+ }
+
+ default:
+ {
+ // the last token was unexpected
+ unexpect(last_token);
+ }
+ }
+
+ if (keep and callback and not callback(depth, parse_event_t::value, result))
+ {
+ result = basic_json(value_t::discarded);
+ }
+ return result;
+ }
+
+ /// get next token from lexer
+ typename lexer::token_type get_token()
+ {
+ last_token = m_lexer.scan();
+ return last_token;
+ }
+
+ void expect(typename lexer::token_type t) const
+ {
+ if (t != last_token)
+ {
+ std::string error_msg = "parse error - unexpected ";
+ error_msg += (last_token == lexer::token_type::parse_error ? ("'" + m_lexer.get_token_string() +
+ "'") :
+ lexer::token_type_name(last_token));
+ error_msg += "; expected " + lexer::token_type_name(t);
+ throw std::invalid_argument(error_msg);
+ }
+ }
+
+ void unexpect(typename lexer::token_type t) const
+ {
+ if (t == last_token)
+ {
+ std::string error_msg = "parse error - unexpected ";
+ error_msg += (last_token == lexer::token_type::parse_error ? ("'" + m_lexer.get_token_string() +
+ "'") :
+ lexer::token_type_name(last_token));
+ throw std::invalid_argument(error_msg);
+ }
+ }
+
+ private:
+ /// current level of recursion
+ int depth = 0;
+ /// callback function
+ const parser_callback_t callback = nullptr;
+ /// the type of the last read token
+ typename lexer::token_type last_token = lexer::token_type::uninitialized;
+ /// the lexer
+ lexer m_lexer;
+ };
+
+ public:
+ /*!
+ @brief JSON Pointer
+
+ A JSON pointer defines a string syntax for identifying a specific value
+ within a JSON document. It can be used with functions `at` and
+ `operator[]`. Furthermore, JSON pointers are the base for JSON patches.
+
+ @sa [RFC 6901](https://tools.ietf.org/html/rfc6901)
+
+ @since version 2.0.0
+ */
+ class json_pointer
+ {
+ /// allow basic_json to access private members
+ friend class basic_json;
+
+ public:
+ /*!
+ @brief create JSON pointer
+
+ Create a JSON pointer according to the syntax described in
+ [Section 3 of RFC6901](https://tools.ietf.org/html/rfc6901#section-3).
+
+ @param[in] s string representing the JSON pointer; if omitted, the
+ empty string is assumed which references the whole JSON
+ value
+
+ @throw std::domain_error if reference token is nonempty and does not
+ begin with a slash (`/`); example: `"JSON pointer must be empty or
+ begin with /"`
+ @throw std::domain_error if a tilde (`~`) is not followed by `0`
+ (representing `~`) or `1` (representing `/`); example: `"escape error:
+ ~ must be followed with 0 or 1"`
+
+ @liveexample{The example shows the construction several valid JSON
+ pointers as well as the exceptional behavior.,json_pointer}
+
+ @since version 2.0.0
+ */
+ explicit json_pointer(const std::string& s = "")
+ : reference_tokens(split(s))
+ {}
+
+ /*!
+ @brief return a string representation of the JSON pointer
+
+ @invariant For each JSON pointer `ptr`, it holds:
+ @code {.cpp}
+ ptr == json_pointer(ptr.to_string());
+ @endcode
+
+ @return a string representation of the JSON pointer
+
+ @liveexample{The example shows the result of `to_string`.,
+ json_pointer__to_string}
+
+ @since version 2.0.0
+ */
+ std::string to_string() const noexcept
+ {
+ return std::accumulate(reference_tokens.begin(),
+ reference_tokens.end(), std::string{},
+ [](const std::string & a, const std::string & b)
+ {
+ return a + "/" + escape(b);
+ });
+ }
+
+ /// @copydoc to_string()
+ operator std::string() const
+ {
+ return to_string();
+ }
+
+ private:
+ /// remove and return last reference pointer
+ std::string pop_back()
+ {
+ if (is_root())
+ {
+ throw std::domain_error("JSON pointer has no parent");
+ }
+
+ auto last = reference_tokens.back();
+ reference_tokens.pop_back();
+ return last;
+ }
+
+ /// return whether pointer points to the root document
+ bool is_root() const
+ {
+ return reference_tokens.empty();
+ }
+
+ json_pointer top() const
+ {
+ if (is_root())
+ {
+ throw std::domain_error("JSON pointer has no parent");
+ }
+
+ json_pointer result = *this;
+ result.reference_tokens = {reference_tokens[0]};
+ return result;
+ }
+
+ /*!
+ @brief create and return a reference to the pointed to value
+
+ @complexity Linear in the number of reference tokens.
+ */
+ reference get_and_create(reference j) const
+ {
+ pointer result = &j;
+
+ // in case no reference tokens exist, return a reference to the
+ // JSON value j which will be overwritten by a primitive value
+ for (const auto& reference_token : reference_tokens)
+ {
+ switch (result->m_type)
+ {
+ case value_t::null:
+ {
+ if (reference_token == "0")
+ {
+ // start a new array if reference token is 0
+ result = &result->operator[](0);
+ }
+ else
+ {
+ // start a new object otherwise
+ result = &result->operator[](reference_token);
+ }
+ break;
+ }
+
+ case value_t::object:
+ {
+ // create an entry in the object
+ result = &result->operator[](reference_token);
+ break;
+ }
+
+ case value_t::array:
+ {
+ // create an entry in the array
+ result = &result->operator[](static_cast<size_type>(std::stoi(reference_token)));
+ break;
+ }
+
+ /*
+ The following code is only reached if there exists a
+ reference token _and_ the current value is primitive. In
+ this case, we have an error situation, because primitive
+ values may only occur as single value; that is, with an
+ empty list of reference tokens.
+ */
+ default:
+ {
+ throw std::domain_error("invalid value to unflatten");
+ }
+ }
+ }
+
+ return *result;
+ }
+
+ /*!
+ @brief return a reference to the pointed to value
+
+ @param[in] ptr a JSON value
+
+ @return reference to the JSON value pointed to by the JSON pointer
+
+ @complexity Linear in the length of the JSON pointer.
+
+ @throw std::out_of_range if the JSON pointer can not be resolved
+ @throw std::domain_error if an array index begins with '0'
+ @throw std::invalid_argument if an array index was not a number
+ */
+ reference get_unchecked(pointer ptr) const
+ {
+ for (const auto& reference_token : reference_tokens)
+ {
+ switch (ptr->m_type)
+ {
+ case value_t::object:
+ {
+ // use unchecked object access
+ ptr = &ptr->operator[](reference_token);
+ break;
+ }
+
+ case value_t::array:
+ {
+ // error condition (cf. RFC 6901, Sect. 4)
+ if (reference_token.size() > 1 and reference_token[0] == '0')
+ {
+ throw std::domain_error("array index must not begin with '0'");
+ }
+
+ if (reference_token == "-")
+ {
+ // explicityly treat "-" as index beyond the end
+ ptr = &ptr->operator[](ptr->m_value.array->size());
+ }
+ else
+ {
+ // convert array index to number; unchecked access
+ ptr = &ptr->operator[](static_cast<size_type>(std::stoi(reference_token)));
+ }
+ break;
+ }
+
+ default:
+ {
+ throw std::out_of_range("unresolved reference token '" + reference_token + "'");
+ }
+ }
+ }
+
+ return *ptr;
+ }
+
+ reference get_checked(pointer ptr) const
+ {
+ for (const auto& reference_token : reference_tokens)
+ {
+ switch (ptr->m_type)
+ {
+ case value_t::object:
+ {
+ // note: at performs range check
+ ptr = &ptr->at(reference_token);
+ break;
+ }
+
+ case value_t::array:
+ {
+ if (reference_token == "-")
+ {
+ // "-" always fails the range check
+ throw std::out_of_range("array index '-' (" +
+ std::to_string(ptr->m_value.array->size()) +
+ ") is out of range");
+ }
+
+ // error condition (cf. RFC 6901, Sect. 4)
+ if (reference_token.size() > 1 and reference_token[0] == '0')
+ {
+ throw std::domain_error("array index must not begin with '0'");
+ }
+
+ // note: at performs range check
+ ptr = &ptr->at(static_cast<size_type>(std::stoi(reference_token)));
+ break;
+ }
+
+ default:
+ {
+ throw std::out_of_range("unresolved reference token '" + reference_token + "'");
+ }
+ }
+ }
+
+ return *ptr;
+ }
+
+ /*!
+ @brief return a const reference to the pointed to value
+
+ @param[in] ptr a JSON value
+
+ @return const reference to the JSON value pointed to by the JSON
+ pointer
+ */
+ const_reference get_unchecked(const_pointer ptr) const
+ {
+ for (const auto& reference_token : reference_tokens)
+ {
+ switch (ptr->m_type)
+ {
+ case value_t::object:
+ {
+ // use unchecked object access
+ ptr = &ptr->operator[](reference_token);
+ break;
+ }
+
+ case value_t::array:
+ {
+ if (reference_token == "-")
+ {
+ // "-" cannot be used for const access
+ throw std::out_of_range("array index '-' (" +
+ std::to_string(ptr->m_value.array->size()) +
+ ") is out of range");
+ }
+
+ // error condition (cf. RFC 6901, Sect. 4)
+ if (reference_token.size() > 1 and reference_token[0] == '0')
+ {
+ throw std::domain_error("array index must not begin with '0'");
+ }
+
+ // use unchecked array access
+ ptr = &ptr->operator[](static_cast<size_type>(std::stoi(reference_token)));
+ break;
+ }
+
+ default:
+ {
+ throw std::out_of_range("unresolved reference token '" + reference_token + "'");
+ }
+ }
+ }
+
+ return *ptr;
+ }
+
+ const_reference get_checked(const_pointer ptr) const
+ {
+ for (const auto& reference_token : reference_tokens)
+ {
+ switch (ptr->m_type)
+ {
+ case value_t::object:
+ {
+ // note: at performs range check
+ ptr = &ptr->at(reference_token);
+ break;
+ }
+
+ case value_t::array:
+ {
+ if (reference_token == "-")
+ {
+ // "-" always fails the range check
+ throw std::out_of_range("array index '-' (" +
+ std::to_string(ptr->m_value.array->size()) +
+ ") is out of range");
+ }
+
+ // error condition (cf. RFC 6901, Sect. 4)
+ if (reference_token.size() > 1 and reference_token[0] == '0')
+ {
+ throw std::domain_error("array index must not begin with '0'");
+ }
+
+ // note: at performs range check
+ ptr = &ptr->at(static_cast<size_type>(std::stoi(reference_token)));
+ break;
+ }
+
+ default:
+ {
+ throw std::out_of_range("unresolved reference token '" + reference_token + "'");
+ }
+ }
+ }
+
+ return *ptr;
+ }
+
+ /// split the string input to reference tokens
+ static std::vector<std::string> split(const std::string& reference_string)
+ {
+ std::vector<std::string> result;
+
+ // special case: empty reference string -> no reference tokens
+ if (reference_string.empty())
+ {
+ return result;
+ }
+
+ // check if nonempty reference string begins with slash
+ if (reference_string[0] != '/')
+ {
+ throw std::domain_error("JSON pointer must be empty or begin with '/'");
+ }
+
+ // extract the reference tokens:
+ // - slash: position of the last read slash (or end of string)
+ // - start: position after the previous slash
+ for (
+ // search for the first slash after the first character
+ size_t slash = reference_string.find_first_of("/", 1),
+ // set the beginning of the first reference token
+ start = 1;
+ // we can stop if start == string::npos+1 = 0
+ start != 0;
+ // set the beginning of the next reference token
+ // (will eventually be 0 if slash == std::string::npos)
+ start = slash + 1,
+ // find next slash
+ slash = reference_string.find_first_of("/", start))
+ {
+ // use the text between the beginning of the reference token
+ // (start) and the last slash (slash).
+ auto reference_token = reference_string.substr(start, slash - start);
+
+ // check reference tokens are properly escaped
+ for (size_t pos = reference_token.find_first_of("~");
+ pos != std::string::npos;
+ pos = reference_token.find_first_of("~", pos + 1))
+ {
+ assert(reference_token[pos] == '~');
+
+ // ~ must be followed by 0 or 1
+ if (pos == reference_token.size() - 1 or
+ (reference_token[pos + 1] != '0' and
+ reference_token[pos + 1] != '1'))
+ {
+ throw std::domain_error("escape error: '~' must be followed with '0' or '1'");
+ }
+ }
+
+ // finally, store the reference token
+ unescape(reference_token);
+ result.push_back(reference_token);
+ }
+
+ return result;
+ }
+
+ private:
+ /*!
+ @brief replace all occurrences of a substring by another string
+
+ @param[in,out] s the string to manipulate
+ @param[in] f the substring to replace with @a t
+ @param[in] t the string to replace @a f
+
+ @return The string @a s where all occurrences of @a f are replaced
+ with @a t.
+
+ @pre The search string @a f must not be empty.
+
+ @since version 2.0.0
+ */
+ static void replace_substring(std::string& s,
+ const std::string& f,
+ const std::string& t)
+ {
+ assert(not f.empty());
+
+ for (
+ size_t pos = s.find(f); // find first occurrence of f
+ pos != std::string::npos; // make sure f was found
+ s.replace(pos, f.size(), t), // replace with t
+ pos = s.find(f, pos + t.size()) // find next occurrence of f
+ );
+ }
+
+ /// escape tilde and slash
+ static std::string escape(std::string s)
+ {
+ // escape "~"" to "~0" and "/" to "~1"
+ replace_substring(s, "~", "~0");
+ replace_substring(s, "/", "~1");
+ return s;
+ }
+
+ /// unescape tilde and slash
+ static void unescape(std::string& s)
+ {
+ // first transform any occurrence of the sequence '~1' to '/'
+ replace_substring(s, "~1", "/");
+ // then transform any occurrence of the sequence '~0' to '~'
+ replace_substring(s, "~0", "~");
+ }
+
+ /*!
+ @param[in] reference_string the reference string to the current value
+ @param[in] value the value to consider
+ @param[in,out] result the result object to insert values to
+
+ @note Empty objects or arrays are flattened to `null`.
+ */
+ static void flatten(const std::string& reference_string,
+ const basic_json& value,
+ basic_json& result)
+ {
+ switch (value.m_type)
+ {
+ case value_t::array:
+ {
+ if (value.m_value.array->empty())
+ {
+ // flatten empty array as null
+ result[reference_string] = nullptr;
+ }
+ else
+ {
+ // iterate array and use index as reference string
+ for (size_t i = 0; i < value.m_value.array->size(); ++i)
+ {
+ flatten(reference_string + "/" + std::to_string(i),
+ value.m_value.array->operator[](i), result);
+ }
+ }
+ break;
+ }
+
+ case value_t::object:
+ {
+ if (value.m_value.object->empty())
+ {
+ // flatten empty object as null
+ result[reference_string] = nullptr;
+ }
+ else
+ {
+ // iterate object and use keys as reference string
+ for (const auto& element : *value.m_value.object)
+ {
+ flatten(reference_string + "/" + escape(element.first),
+ element.second, result);
+ }
+ }
+ break;
+ }
+
+ default:
+ {
+ // add primitive value with its reference string
+ result[reference_string] = value;
+ break;
+ }
+ }
+ }
+
+ /*!
+ @param[in] value flattened JSON
+
+ @return unflattened JSON
+ */
+ static basic_json unflatten(const basic_json& value)
+ {
+ if (not value.is_object())
+ {
+ throw std::domain_error("only objects can be unflattened");
+ }
+
+ basic_json result;
+
+ // iterate the JSON object values
+ for (const auto& element : *value.m_value.object)
+ {
+ if (not element.second.is_primitive())
+ {
+ throw std::domain_error("values in object must be primitive");
+ }
+
+ // assign value to reference pointed to by JSON pointer; Note
+ // that if the JSON pointer is "" (i.e., points to the whole
+ // value), function get_and_create returns a reference to
+ // result itself. An assignment will then create a primitive
+ // value.
+ json_pointer(element.first).get_and_create(result) = element.second;
+ }
+
+ return result;
+ }
+
+ private:
+ /// the reference tokens
+ std::vector<std::string> reference_tokens {};
+ };
+
+ //////////////////////////
+ // JSON Pointer support //
+ //////////////////////////
+
+ /// @name JSON Pointer functions
+ /// @{
+
+ /*!
+ @brief access specified element via JSON Pointer
+
+ Uses a JSON pointer to retrieve a reference to the respective JSON value.
+ No bound checking is performed. Similar to @ref operator[](const typename
+ object_t::key_type&), `null` values are created in arrays and objects if
+ necessary.
+
+ In particular:
+ - If the JSON pointer points to an object key that does not exist, it
+ is created an filled with a `null` value before a reference to it
+ is returned.
+ - If the JSON pointer points to an array index that does not exist, it
+ is created an filled with a `null` value before a reference to it
+ is returned. All indices between the current maximum and the given
+ index are also filled with `null`.
+ - The special value `-` is treated as a synonym for the index past the
+ end.
+
+ @param[in] ptr a JSON pointer
+
+ @return reference to the element pointed to by @a ptr
+
+ @complexity Constant.
+
+ @throw std::out_of_range if the JSON pointer can not be resolved
+ @throw std::domain_error if an array index begins with '0'
+ @throw std::invalid_argument if an array index was not a number
+
+ @liveexample{The behavior is shown in the example.,operatorjson_pointer}
+
+ @since version 2.0.0
+ */
+ reference operator[](const json_pointer& ptr)
+ {
+ return ptr.get_unchecked(this);
+ }
+
+ /*!
+ @brief access specified element via JSON Pointer
+
+ Uses a JSON pointer to retrieve a reference to the respective JSON value.
+ No bound checking is performed. The function does not change the JSON
+ value; no `null` values are created. In particular, the the special value
+ `-` yields an exception.
+
+ @param[in] ptr JSON pointer to the desired element
+
+ @return const reference to the element pointed to by @a ptr
+
+ @complexity Constant.
+
+ @throw std::out_of_range if the JSON pointer can not be resolved
+ @throw std::domain_error if an array index begins with '0'
+ @throw std::invalid_argument if an array index was not a number
+
+ @liveexample{The behavior is shown in the example.,operatorjson_pointer_const}
+
+ @since version 2.0.0
+ */
+ const_reference operator[](const json_pointer& ptr) const
+ {
+ return ptr.get_unchecked(this);
+ }
+
+ /*!
+ @brief access specified element via JSON Pointer
+
+ Returns a reference to the element at with specified JSON pointer @a ptr,
+ with bounds checking.
+
+ @param[in] ptr JSON pointer to the desired element
+
+ @return reference to the element pointed to by @a ptr
+
+ @complexity Constant.
+
+ @throw std::out_of_range if the JSON pointer can not be resolved
+ @throw std::domain_error if an array index begins with '0'
+ @throw std::invalid_argument if an array index was not a number
+
+ @liveexample{The behavior is shown in the example.,at_json_pointer}
+
+ @since version 2.0.0
+ */
+ reference at(const json_pointer& ptr)
+ {
+ return ptr.get_checked(this);
+ }
+
+ /*!
+ @brief access specified element via JSON Pointer
+
+ Returns a const reference to the element at with specified JSON pointer @a
+ ptr, with bounds checking.
+
+ @param[in] ptr JSON pointer to the desired element
+
+ @return reference to the element pointed to by @a ptr
+
+ @complexity Constant.
+
+ @throw std::out_of_range if the JSON pointer can not be resolved
+ @throw std::domain_error if an array index begins with '0'
+ @throw std::invalid_argument if an array index was not a number
+
+ @liveexample{The behavior is shown in the example.,at_json_pointer_const}
+
+ @since version 2.0.0
+ */
+ const_reference at(const json_pointer& ptr) const
+ {
+ return ptr.get_checked(this);
+ }
+
+ /*!
+ @brief return flattened JSON value
+
+ The function creates a JSON object whose keys are JSON pointers (see [RFC
+ 6901](https://tools.ietf.org/html/rfc6901)) and whose values are all
+ primitive. The original JSON value can be restored using the @ref
+ unflatten() function.
+
+ @return an object that maps JSON pointers to primitve values
+
+ @note Empty objects and arrays are flattened to `null` and will not be
+ reconstructed correctly by the @ref unflatten() function.
+
+ @complexity Linear in the size the JSON value.
+
+ @liveexample{The following code shows how a JSON object is flattened to an
+ object whose keys consist of JSON pointers.,flatten}
+
+ @sa @ref unflatten() for the reverse function
+
+ @since version 2.0.0
+ */
+ basic_json flatten() const
+ {
+ basic_json result(value_t::object);
+ json_pointer::flatten("", *this, result);
+ return result;
+ }
+
+ /*!
+ @brief unflatten a previously flattened JSON value
+
+ The function restores the arbitrary nesting of a JSON value that has been
+ flattened before using the @ref flatten() function. The JSON value must
+ meet certain constraints:
+ 1. The value must be an object.
+ 2. The keys must be JSON pointers (see
+ [RFC 6901](https://tools.ietf.org/html/rfc6901))
+ 3. The mapped values must be primitive JSON types.
+
+ @return the original JSON from a flattened version
+
+ @note Empty objects and arrays are flattened by @ref flatten() to `null`
+ values and can not unflattened to their original type. Apart from
+ this example, for a JSON value `j`, the following is always true:
+ `j == j.flatten().unflatten()`.
+
+ @complexity Linear in the size the JSON value.
+
+ @liveexample{The following code shows how a flattened JSON object is
+ unflattened into the original nested JSON object.,unflatten}
+
+ @sa @ref flatten() for the reverse function
+
+ @since version 2.0.0
+ */
+ basic_json unflatten() const
+ {
+ return json_pointer::unflatten(*this);
+ }
+
+ /// @}
+
+ //////////////////////////
+ // JSON Patch functions //
+ //////////////////////////
+
+ /// @name JSON Patch functions
+ /// @{
+
+ /*!
+ @brief applies a JSON patch
+
+ [JSON Patch](http://jsonpatch.com) defines a JSON document structure for
+ expressing a sequence of operations to apply to a JSON) document. With
+ this funcion, a JSON Patch is applied to the current JSON value by
+ executing all operations from the patch.
+
+ @param[in] json_patch JSON patch document
+ @return patched document
+
+ @note The application of a patch is atomic: Either all operations succeed
+ and the patched document is returned or an exception is thrown. In
+ any case, the original value is not changed: the patch is applied
+ to a copy of the value.
+
+ @throw std::out_of_range if a JSON pointer inside the patch could not
+ be resolved successfully in the current JSON value; example: `"key baz
+ not found"`
+ @throw invalid_argument if the JSON patch is malformed (e.g., mandatory
+ attributes are missing); example: `"operation add must have member path"`
+
+ @complexity Linear in the size of the JSON value and the length of the
+ JSON patch. As usually only a fraction of the JSON value is affected by
+ the patch, the complexity can usually be neglected.
+
+ @liveexample{The following code shows how a JSON patch is applied to a
+ value.,patch}
+
+ @sa @ref diff -- create a JSON patch by comparing two JSON values
+
+ @sa [RFC 6902 (JSON Patch)](https://tools.ietf.org/html/rfc6902)
+ @sa [RFC 6901 (JSON Pointer)](https://tools.ietf.org/html/rfc6901)
+
+ @since version 2.0.0
+ */
+ basic_json patch(const basic_json& json_patch) const
+ {
+ // make a working copy to apply the patch to
+ basic_json result = *this;
+
+ // the valid JSON Patch operations
+ enum class patch_operations {add, remove, replace, move, copy, test, invalid};
+
+ const auto get_op = [](const std::string op)
+ {
+ if (op == "add")
+ {
+ return patch_operations::add;
+ }
+ if (op == "remove")
+ {
+ return patch_operations::remove;
+ }
+ if (op == "replace")
+ {
+ return patch_operations::replace;
+ }
+ if (op == "move")
+ {
+ return patch_operations::move;
+ }
+ if (op == "copy")
+ {
+ return patch_operations::copy;
+ }
+ if (op == "test")
+ {
+ return patch_operations::test;
+ }
+
+ return patch_operations::invalid;
+ };
+
+ // wrapper for "add" operation; add value at ptr
+ const auto operation_add = [&result](json_pointer & ptr, basic_json val)
+ {
+ // adding to the root of the target document means replacing it
+ if (ptr.is_root())
+ {
+ result = val;
+ }
+ else
+ {
+ // make sure the top element of the pointer exists
+ json_pointer top_pointer = ptr.top();
+ if (top_pointer != ptr)
+ {
+ basic_json& x = result.at(top_pointer);
+ }
+
+ // get reference to parent of JSON pointer ptr
+ const auto last_path = ptr.pop_back();
+ basic_json& parent = result[ptr];
+
+ switch (parent.m_type)
+ {
+ case value_t::null:
+ case value_t::object:
+ {
+ // use operator[] to add value
+ parent[last_path] = val;
+ break;
+ }
+
+ case value_t::array:
+ {
+ if (last_path == "-")
+ {
+ // special case: append to back
+ parent.push_back(val);
+ }
+ else
+ {
+ const auto idx = std::stoi(last_path);
+ if (static_cast<size_type>(idx) > parent.size())
+ {
+ // avoid undefined behavior
+ throw std::out_of_range("array index " + std::to_string(idx) + " is out of range");
+ }
+ else
+ {
+ // default case: insert add offset
+ parent.insert(parent.begin() + static_cast<difference_type>(idx), val);
+ }
+ }
+ break;
+ }
+
+ default:
+ {
+ // if there exists a parent it cannot be primitive
+ assert(false); // LCOV_EXCL_LINE
+ }
+ }
+ }
+ };
+
+ // wrapper for "remove" operation; remove value at ptr
+ const auto operation_remove = [&result](json_pointer & ptr)
+ {
+ // get reference to parent of JSON pointer ptr
+ const auto last_path = ptr.pop_back();
+ basic_json& parent = result.at(ptr);
+
+ // remove child
+ if (parent.is_object())
+ {
+ // perform range check
+ auto it = parent.find(last_path);
+ if (it != parent.end())
+ {
+ parent.erase(it);
+ }
+ else
+ {
+ throw std::out_of_range("key '" + last_path + "' not found");
+ }
+ }
+ else if (parent.is_array())
+ {
+ // note erase performs range check
+ parent.erase(static_cast<size_type>(std::stoi(last_path)));
+ }
+ };
+
+ // type check
+ if (not json_patch.is_array())
+ {
+ // a JSON patch must be an array of objects
+ throw std::invalid_argument("JSON patch must be an array of objects");
+ }
+
+ // iterate and apply th eoperations
+ for (const auto& val : json_patch)
+ {
+ // wrapper to get a value for an operation
+ const auto get_value = [&val](const std::string & op,
+ const std::string & member,
+ bool string_type) -> basic_json&
+ {
+ // find value
+ auto it = val.m_value.object->find(member);
+
+ // context-sensitive error message
+ const auto error_msg = (op == "op") ? "operation" : "operation '" + op + "'";
+
+ // check if desired value is present
+ if (it == val.m_value.object->end())
+ {
+ throw std::invalid_argument(error_msg + " must have member '" + member + "'");
+ }
+
+ // check if result is of type string
+ if (string_type and not it->second.is_string())
+ {
+ throw std::invalid_argument(error_msg + " must have string member '" + member + "'");
+ }
+
+ // no error: return value
+ return it->second;
+ };
+
+ // type check
+ if (not val.is_object())
+ {
+ throw std::invalid_argument("JSON patch must be an array of objects");
+ }
+
+ // collect mandatory members
+ const std::string op = get_value("op", "op", true);
+ const std::string path = get_value(op, "path", true);
+ json_pointer ptr(path);
+
+ switch (get_op(op))
+ {
+ case patch_operations::add:
+ {
+ operation_add(ptr, get_value("add", "value", false));
+ break;
+ }
+
+ case patch_operations::remove:
+ {
+ operation_remove(ptr);
+ break;
+ }
+
+ case patch_operations::replace:
+ {
+ // the "path" location must exist - use at()
+ result.at(ptr) = get_value("replace", "value", false);
+ break;
+ }
+
+ case patch_operations::move:
+ {
+ const std::string from_path = get_value("move", "from", true);
+ json_pointer from_ptr(from_path);
+
+ // the "from" location must exist - use at()
+ basic_json v = result.at(from_ptr);
+
+ // The move operation is functionally identical to a
+ // "remove" operation on the "from" location, followed
+ // immediately by an "add" operation at the target
+ // location with the value that was just removed.
+ operation_remove(from_ptr);
+ operation_add(ptr, v);
+ break;
+ }
+
+ case patch_operations::copy:
+ {
+ const std::string from_path = get_value("copy", "from", true);;
+ const json_pointer from_ptr(from_path);
+
+ // the "from" location must exist - use at()
+ result[ptr] = result.at(from_ptr);
+ break;
+ }
+
+ case patch_operations::test:
+ {
+ bool success = false;
+ try
+ {
+ // check if "value" matches the one at "path"
+ // the "path" location must exist - use at()
+ success = (result.at(ptr) == get_value("test", "value", false));
+ }
+ catch (std::out_of_range&)
+ {
+ // ignore out of range errors: success remains false
+ }
+
+ // throw an exception if test fails
+ if (not success)
+ {
+ throw std::domain_error("unsuccessful: " + val.dump());
+ }
+
+ break;
+ }
+
+ case patch_operations::invalid:
+ {
+ // op must be "add", "remove", "replace", "move", "copy", or
+ // "test"
+ throw std::invalid_argument("operation value '" + op + "' is invalid");
+ }
+ }
+ }
+
+ return result;
+ }
+
+ /*!
+ @brief creates a diff as a JSON patch
+
+ Creates a [JSON Patch](http://jsonpatch.com) so that value @a source can
+ be changed into the value @a target by calling @ref patch function.
+
+ @invariant For two JSON values @a source and @a target, the following code
+ yields always `true`:
+ @code {.cpp}
+ source.patch(diff(source, target)) == target;
+ @endcode
+
+ @note Currently, only `remove`, `add`, and `replace` operations are
+ generated.
+
+ @param[in] source JSON value to copare from
+ @param[in] target JSON value to copare against
+ @param[in] path helper value to create JSON pointers
+
+ @return a JSON patch to convert the @a source to @a target
+
+ @complexity Linear in the lengths of @a source and @a target.
+
+ @liveexample{The following code shows how a JSON patch is created as a
+ diff for two JSON values.,diff}
+
+ @sa @ref patch -- apply a JSON patch
+
+ @sa [RFC 6902 (JSON Patch)](https://tools.ietf.org/html/rfc6902)
+
+ @since version 2.0.0
+ */
+ static basic_json diff(const basic_json& source,
+ const basic_json& target,
+ const std::string& path = "")
+ {
+ // the patch
+ basic_json result(value_t::array);
+
+ // if the values are the same, return empty patch
+ if (source == target)
+ {
+ return result;
+ }
+
+ if (source.type() != target.type())
+ {
+ // different types: replace value
+ result.push_back(
+ {
+ {"op", "replace"},
+ {"path", path},
+ {"value", target}
+ });
+ }
+ else
+ {
+ switch (source.type())
+ {
+ case value_t::array:
+ {
+ // first pass: traverse common elements
+ size_t i = 0;
+ while (i < source.size() and i < target.size())
+ {
+ // recursive call to compare array values at index i
+ auto temp_diff = diff(source[i], target[i], path + "/" + std::to_string(i));
+ result.insert(result.end(), temp_diff.begin(), temp_diff.end());
+ ++i;
+ }
+
+ // i now reached the end of at least one array
+ // in a second pass, traverse the remaining elements
+
+ // remove my remaining elements
+ const auto end_index = static_cast<difference_type>(result.size());
+ while (i < source.size())
+ {
+ // add operations in reverse order to avoid invalid
+ // indices
+ result.insert(result.begin() + end_index, object(
+ {
+ {"op", "remove"},
+ {"path", path + "/" + std::to_string(i)}
+ }));
+ ++i;
+ }
+
+ // add other remaining elements
+ while (i < target.size())
+ {
+ result.push_back(
+ {
+ {"op", "add"},
+ {"path", path + "/" + std::to_string(i)},
+ {"value", target[i]}
+ });
+ ++i;
+ }
+
+ break;
+ }
+
+ case value_t::object:
+ {
+ // first pass: traverse this object's elements
+ for (auto it = source.begin(); it != source.end(); ++it)
+ {
+ // escape the key name to be used in a JSON patch
+ const auto key = json_pointer::escape(it.key());
+
+ if (target.find(it.key()) != target.end())
+ {
+ // recursive call to compare object values at key it
+ auto temp_diff = diff(it.value(), target[it.key()], path + "/" + key);
+ result.insert(result.end(), temp_diff.begin(), temp_diff.end());
+ }
+ else
+ {
+ // found a key that is not in o -> remove it
+ result.push_back(object(
+ {
+ {"op", "remove"},
+ {"path", path + "/" + key}
+ }));
+ }
+ }
+
+ // second pass: traverse other object's elements
+ for (auto it = target.begin(); it != target.end(); ++it)
+ {
+ if (source.find(it.key()) == source.end())
+ {
+ // found a key that is not in this -> add it
+ const auto key = json_pointer::escape(it.key());
+ result.push_back(
+ {
+ {"op", "add"},
+ {"path", path + "/" + key},
+ {"value", it.value()}
+ });
+ }
+ }
+
+ break;
+ }
+
+ default:
+ {
+ // both primitive type: replace value
+ result.push_back(
+ {
+ {"op", "replace"},
+ {"path", path},
+ {"value", target}
+ });
+ break;
+ }
+ }
+ }
+
+ return result;
+ }
+
+ /// @}
+};
+
+
+/////////////
+// presets //
+/////////////
+
+/*!
+@brief default JSON class
+
+This type is the default specialization of the @ref basic_json class which
+uses the standard template types.
+
+@since version 1.0.0
+*/
+using json = basic_json<>;
+}
+
+
+///////////////////////
+// nonmember support //
+///////////////////////
+
+// specialization of std::swap, and std::hash
+namespace std
+{
+/*!
+@brief exchanges the values of two JSON objects
+
+@since version 1.0.0
+*/
+template<>
+inline void swap(nlohmann::json& j1,
+ nlohmann::json& j2) noexcept(
+ is_nothrow_move_constructible<nlohmann::json>::value and
+ is_nothrow_move_assignable<nlohmann::json>::value
+ )
+{
+ j1.swap(j2);
+}
+
+/// hash value for JSON objects
+template<>
+struct hash<nlohmann::json>
+{
+ /*!
+ @brief return a hash value for a JSON object
+
+ @since version 1.0.0
+ */
+ std::size_t operator()(const nlohmann::json& j) const
+ {
+ // a naive hashing via the string representation
+ const auto& h = hash<nlohmann::json::string_t>();
+ return h(j.dump());
+ }
+};
+}
+
+/*!
+@brief user-defined string literal for JSON values
+
+This operator implements a user-defined string literal for JSON objects. It
+can be used by adding `"_json"` to a string literal and returns a JSON object
+if no parse error occurred.
+
+@param[in] s a string representation of a JSON object
+@return a JSON object
+
+@since version 1.0.0
+*/
+inline nlohmann::json operator "" _json(const char* s, std::size_t)
+{
+ return nlohmann::json::parse(s);
+}
+
+/*!
+@brief user-defined string literal for JSON pointer
+
+This operator implements a user-defined string literal for JSON Pointers. It
+can be used by adding `"_json"` to a string literal and returns a JSON pointer
+object if no parse error occurred.
+
+@param[in] s a string representation of a JSON Pointer
+@return a JSON pointer object
+
+@since version 2.0.0
+*/
+inline nlohmann::json::json_pointer operator "" _json_pointer(const char* s, std::size_t)
+{
+ return nlohmann::json::json_pointer(s);
+}
+
+// restore GCC/clang diagnostic settings
+#if defined(__clang__) || defined(__GNUC__) || defined(__GNUG__)
+ #pragma GCC diagnostic pop
+#endif
+
+#endif
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "config.h"
+#include "util.h"
+
+using namespace fplll;
+
+void print_help()
+{
+ cout << "Usage: latticegen [-randseed [<int> | 'time']] options\n"
+ << "Options : " << endl
+ << " r <d> <b> : gen_intrel" << endl
+ << " s <d> <b> <b2> : gen_simdioph" << endl
+ << " u <d> <b> : gen_uniform" << endl
+ << " n <d> <b> <c> : gen_ntrulike" << endl
+ << " N <d> <b> <c> : gen_ntrulike2" << endl
+ << " q <d> <k> <b> <c>: gen_qary" << endl
+ << " t <d> <f> : gen_trg" << endl
+ << " T <d> : gen_trg2" << endl;
+}
+
+void print_version()
+{
+ cout << "latticegen (fplll) " << VERSION << endl
+ << "Copyright 2005-2011 Damien Stehle, David Cade, Xavier Pujol." << endl
+ << "fplll is free software. You can redistribute it and/or modify" << endl
+ << "it under the terms of the GNU Lesser General Public License as published by" << endl
+ << "the Free Software Foundation, either version 2.1 of the License, or" << endl
+ << "(at your option) any later version." << endl;
+}
+
+void fatal_error(const char *message)
+{
+ cerr << "latticegen: " << message << endl
+ << "Try 'latticegen --help' for more information" << endl;
+ exit(1);
+}
+
+int main(int argc, char *argv[])
+{
+ int iArg = 1;
+
+ if (argc - iArg < 1 || strcmp(argv[iArg], "--help") == 0)
+ {
+ print_help();
+ return 0;
+ }
+ else if (strcmp(argv[iArg], "--version") == 0)
+ {
+ print_version();
+ return 0;
+ }
+ else if (strcmp(argv[iArg], "-randseed") == 0)
+ {
+ iArg++;
+ if (argc - iArg < 1)
+ fatal_error("option '-randseed' requires an argument");
+ if (strcmp(argv[iArg], "time") == 0)
+ {
+ RandGen::init_with_time();
+ }
+ else
+ {
+ RandGen::init_with_seed(atol(argv[iArg]));
+ }
+ iArg++;
+ }
+
+ if (argc - iArg < 2)
+ fatal_error("you must specify a method and a dimension");
+ char genMethod = argv[iArg][0];
+ int d = atoi(argv[iArg + 1]);
+ iArg += 2;
+
+ IntMatrix m;
+
+ // initialization+filling of the matrix
+ switch (genMethod)
+ {
+ case 'r':
+ {
+ if (argc - iArg < 1)
+ fatal_error("method 'r' requires 2 arguments");
+ int b = atoi(argv[iArg]);
+ m.resize(d, d + 1);
+ m.gen_intrel(b);
+ break;
+ }
+ case 's':
+ {
+ if (argc - iArg < 2)
+ fatal_error("method 's' requires 3 arguments");
+ int b = atoi(argv[iArg]);
+ int b2 = atoi(argv[iArg + 1]);
+ m.resize(d + 1, d + 1);
+ m.gen_simdioph(b, b2);
+ break;
+ }
+ case 'u':
+ {
+ if (argc - iArg < 1)
+ fatal_error("method 'u' requires 2 arguments");
+ int b = atoi(argv[iArg]);
+ m.resize(d, d);
+ m.gen_uniform(b);
+ break;
+ }
+ case 'n':
+ {
+ if (argc - iArg < 1)
+ fatal_error("method 'n' requires 3 arguments");
+ int b = atoi(argv[iArg]);
+ char c = argv[iArg + 1][0];
+ m.resize(2 * d, 2 * d);
+ switch (c)
+ {
+ case 'b':
+ {
+ m.gen_ntrulike(b);
+ break;
+ }
+ case 'q':
+ {
+ m.gen_ntrulike_withq(b);
+ break;
+ }
+ }
+ break;
+ }
+ case 'q':
+ {
+ if (argc - iArg < 1)
+ fatal_error("method 'q' requires 4 arguments");
+ int k = atoi(argv[iArg]);
+ int b = atoi(argv[iArg + 1]);
+ char c = argv[iArg + 2][0];
+ m.resize(d, d);
+ switch (c)
+ {
+ case 'b':
+ {
+ m.gen_qary(k, b);
+ break;
+ }
+ case 'q':
+ {
+ m.gen_qary_withq(k, b);
+ break;
+ }
+ case 'p':
+ {
+ m.gen_qary_prime(k, b);
+ break;
+ }
+ }
+ break;
+ }
+ case 'N':
+ {
+ if (argc - iArg < 1)
+ fatal_error("method 'N' requires 3 arguments");
+ int b = atoi(argv[iArg]);
+ int c = argv[iArg + 1][0];
+ m.resize(2 * d, 2 * d);
+ switch (c)
+ {
+ case 'b':
+ {
+ m.gen_ntrulike2(b);
+ break;
+ }
+ case 'q':
+ {
+ m.gen_ntrulike2_withq(b);
+ break;
+ }
+ }
+ break;
+ }
+ case 't':
+ {
+ if (argc - iArg < 1)
+ fatal_error("method 't' requires 2 arguments");
+ double alpha = atof(argv[iArg]);
+ m.resize(d, d);
+ m.gen_trg(alpha);
+ break;
+ }
+ case 'T':
+ {
+ FP_NR<mpfr_t> *w = new FP_NR<mpfr_t>[d];
+
+ for (int i = 0; i < d; i++)
+ mpfr_inp_str(w[i].get_data(), stdin, 10, GMP_RNDN);
+
+ m.resize(d, d);
+ m.gen_trg2(w);
+
+ delete[] w;
+
+ break;
+ }
+ default:
+ {
+ fatal_error("invalid method");
+ break;
+ }
+ }
+ cout << m << endl;
+ return 0;
+}
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+/* Template source file */
+
+#include "lll.h"
+#include "util.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+static inline bool is_power_of_2(int i) { return (i & (i - 1)) == 0; }
+
+template <class ZT, class FT>
+LLLReduction<ZT, FT>::LLLReduction(MatGSO<ZT, FT> &m, double delta, double eta, int flags)
+ : status(RED_SUCCESS), final_kappa(0), last_early_red(0), n_swaps(0), m(m)
+{
+ /* No early reduction in proved mode (i.e. enable_int_gram=true).
+ NOTE: To make this possible, the hypothesis "g(i, j) is valid if
+ 0 <= i < n_known_rows and j <= i" in gso.h should be changed and
+ MatGSO<ZT, FT>::discover_row() should be rewritten. */
+ enable_early_red = (flags & LLL_EARLY_RED) && !m.enable_int_gram;
+ siegel = flags & LLL_SIEGEL;
+ verbose = flags & LLL_VERBOSE;
+ this->delta = delta;
+ this->eta = eta;
+ swap_threshold = siegel ? delta - eta * eta : delta;
+ zeros = 0;
+}
+
+template <class ZT, class FT>
+bool LLLReduction<ZT, FT>::lll(int kappa_min, int kappa_start, int kappa_end)
+{
+ if (kappa_end == -1)
+ kappa_end = m.d;
+
+ FPLLL_DEBUG_CHECK(kappa_min <= kappa_start && kappa_start < kappa_end && kappa_end <= m.d);
+ int start_time = cputime();
+ int kappa = kappa_start + 1;
+ int kappa_max = 0;
+ int d = kappa_end - kappa_min;
+
+ zeros = 0;
+ n_swaps = 0;
+ final_kappa = 0;
+ if (verbose)
+ print_params();
+ extend_vect(lovasz_tests, kappa_end);
+ extend_vect(babai_mu, kappa_end);
+ extend_vect(babai_expo, kappa_end);
+
+ for (; zeros < d && m.b[0].is_zero(); zeros++)
+ {
+ m.move_row(kappa_min, kappa_end - 1 - zeros);
+ }
+
+ if (zeros < d &&
+ ((kappa_start > 0 && !babai(kappa_start, kappa_start)) || !m.update_gso_row(kappa_start)))
+ {
+ final_kappa = kappa_start;
+ return false;
+ }
+
+ long long iter, max_iter;
+ max_iter = static_cast<long long>(
+ d - 2 * d * (d + 1) * ((m.b.get_max_exp() + 3) / std::log(delta.get_d())));
+
+ for (iter = 0; iter < max_iter && kappa < kappa_end - zeros; iter++)
+ {
+ if (kappa > kappa_max)
+ {
+ if (verbose)
+ {
+ cerr << "Discovering vector " << kappa - kappa_min + 1 + zeros << "/" << d
+ << " cputime=" << cputime() - start_time << endl;
+ }
+ kappa_max = kappa;
+ if (enable_early_red && is_power_of_2(kappa) && kappa > last_early_red)
+ {
+ if (!early_reduction(kappa))
+ {
+ final_kappa = kappa;
+ return false;
+ }
+ }
+ }
+
+ // Lazy size reduction
+ if (!babai(kappa, kappa))
+ {
+ final_kappa = kappa;
+ return false;
+ }
+
+ // Tests Lovasz's condition
+ m.get_gram(lovasz_tests[0], kappa, kappa);
+ for (int i = 1; i <= kappa; i++)
+ {
+ ftmp1.mul(m.get_mu_exp(kappa, i - 1), m.get_r_exp(kappa, i - 1));
+ lovasz_tests[i].sub(lovasz_tests[i - 1], ftmp1);
+ }
+ ftmp1.mul(m.get_r_exp(kappa - 1, kappa - 1), swap_threshold);
+ if (m.enable_row_expo)
+ {
+ ftmp1.mul_2si(ftmp1, 2 * (m.row_expo[kappa - 1] - m.row_expo[kappa]));
+ }
+
+ if (ftmp1 > lovasz_tests[siegel ? kappa : kappa - 1])
+ {
+ n_swaps++;
+ // Failure, computes the insertion index
+ int old_k = kappa;
+ for (kappa--; kappa > kappa_start; kappa--)
+ {
+ ftmp1.mul(m.get_r_exp(kappa - 1, kappa - 1), swap_threshold);
+ if (m.enable_row_expo)
+ {
+ ftmp1.mul_2si(ftmp1, 2 * (m.row_expo[kappa - 1] - m.row_expo[old_k]));
+ }
+ if (ftmp1 < lovasz_tests[siegel ? kappa : kappa - 1])
+ break;
+ }
+ // FPLLL_TRACE("Lovasz's condition is not satisfied, kappa=" << kappa << " old_kappa=" <<
+ // old_k);
+ // Moves the vector
+ if (lovasz_tests[kappa] > 0)
+ {
+ m.move_row(old_k, kappa);
+ }
+ else
+ {
+ zeros++;
+ m.move_row(old_k, kappa_end - zeros);
+ kappa = old_k;
+ continue;
+ }
+ }
+
+ m.set_r(kappa, kappa, lovasz_tests[kappa]);
+ kappa++;
+ }
+
+ if (kappa < kappa_end - zeros)
+ return set_status(RED_LLL_FAILURE);
+ else
+ return set_status(RED_SUCCESS);
+}
+
+template <class ZT, class FT> bool LLLReduction<ZT, FT>::babai(int kappa, int ncols)
+{
+ // FPLLL_TRACE_IN("kappa=" << kappa);
+ long max_expo = LONG_MAX;
+
+ for (int iter = 0;; iter++)
+ {
+ if (!m.update_gso_row(kappa, ncols - 1))
+ return set_status(RED_GSO_FAILURE);
+
+ bool loop_needed = false;
+ for (int j = ncols - 1; j >= 0 && !loop_needed; j--)
+ {
+ m.get_mu(ftmp1, kappa, j);
+ ftmp1.abs(ftmp1);
+ if (ftmp1 > eta)
+ loop_needed = true;
+ }
+ if (!loop_needed)
+ break;
+
+ if (iter >= 2)
+ {
+ long new_max_expo = m.get_max_mu_exp(kappa, ncols);
+ if (new_max_expo > max_expo - SIZE_RED_FAILURE_THRESH)
+ {
+ return set_status(RED_BABAI_FAILURE);
+ }
+ max_expo = new_max_expo;
+ }
+
+ for (int j = 0; j < ncols; j++)
+ {
+ babai_mu[j] = m.get_mu_exp(kappa, j, babai_expo[j]);
+ }
+ m.row_op_begin(kappa, kappa + 1);
+ for (int j = ncols - 1; j >= 0; j--)
+ {
+ mu_m_ant.rnd_we(babai_mu[j], babai_expo[j]);
+ if (mu_m_ant.zero_p())
+ continue;
+ // Approximative update of the mu_(kappa,k)'s
+ for (int k = 0; k < j; k++)
+ {
+ ftmp1.mul(mu_m_ant, m.get_mu_exp(j, k));
+ /* When enable_row_expo=true, the following line relies on the fact that
+ get_mu_exp(a, b, expo) returns expo = row_expo[a] - row_expo[b]. */
+ babai_mu[k].sub(babai_mu[k], ftmp1);
+ }
+ // Operation on the basis
+ // FPLLL_TRACE("Babai : row[" << kappa << "] += " << mu_m_ant << " * 2^" << babai_expo[j] << "
+ // * row[" << j << "]");
+ mu_m_ant.neg(mu_m_ant);
+ m.row_addmul_we(kappa, j, mu_m_ant, babai_expo[j]);
+ }
+ m.row_op_end(kappa, kappa + 1);
+ }
+ return true;
+}
+
+template <class ZT, class FT> bool is_lll_reduced(MatGSO<ZT, FT> &m, double delta, double eta)
+{
+ FT ftmp1;
+ FT ftmp2;
+ FT delta_ =delta;
+ m.update_gso();
+ for (int i = 0; i < m.d; i++)
+ {
+ for (int j = 0; j < i; j++)
+ {
+ m.get_mu(ftmp1, i, j);
+ ftmp1.abs(ftmp1);
+ if (ftmp1 > eta)
+ return false;
+ }
+ }
+ for (int i = 1; i < m.d; i++)
+ {
+ m.get_mu(ftmp2, i, i - 1);
+ ftmp2.mul(ftmp2, ftmp2); // μ^2
+
+ ftmp2.sub(delta_, ftmp2); // δ - μ^2
+ m.get_r(ftmp1, i - 1, i - 1);
+ ftmp2.mul(ftmp1, ftmp2); // (δ - μ^2) ⋅ r_{i-1,i-1}
+
+ m.get_r(ftmp1, i, i); // r_{i,i}
+
+ if (ftmp1 < ftmp2)
+ return false;
+ }
+ return true;
+}
+
+/** instantiate functions **/
+
+template class LLLReduction<Z_NR<long>, FP_NR<double>>;
+template class LLLReduction<Z_NR<double>, FP_NR<double>>;
+template class LLLReduction<Z_NR<mpz_t>, FP_NR<double>>;
+template bool is_lll_reduced<Z_NR<mpz_t>, FP_NR<double>>(MatGSO<Z_NR<mpz_t>, FP_NR<double>> &m,
+ double delta, double eta);
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template class LLLReduction<Z_NR<long>, FP_NR<long double>>;
+template class LLLReduction<Z_NR<double>, FP_NR<long double>>;
+template class LLLReduction<Z_NR<mpz_t>, FP_NR<long double>>;
+
+template bool is_lll_reduced<Z_NR<mpz_t>, FP_NR<long double>>(MatGSO<Z_NR<mpz_t>, FP_NR<long double>> &m,
+ double delta, double eta);
+#endif
+
+#ifdef FPLLL_WITH_QD
+template class LLLReduction<Z_NR<long>, FP_NR<dd_real>>;
+template class LLLReduction<Z_NR<double>, FP_NR<dd_real>>;
+template class LLLReduction<Z_NR<mpz_t>, FP_NR<dd_real>>;
+
+template bool is_lll_reduced<Z_NR<mpz_t>, FP_NR<dd_real>>(MatGSO<Z_NR<mpz_t>, FP_NR<dd_real>> &m,
+ double delta, double eta);
+
+template class LLLReduction<Z_NR<long>, FP_NR<qd_real>>;
+template class LLLReduction<Z_NR<double>, FP_NR<qd_real>>;
+template class LLLReduction<Z_NR<mpz_t>, FP_NR<qd_real>>;
+
+template bool is_lll_reduced<Z_NR<mpz_t>, FP_NR<qd_real>>(MatGSO<Z_NR<mpz_t>, FP_NR<qd_real>> &m,
+ double delta, double eta);
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template class LLLReduction<Z_NR<long>, FP_NR<dpe_t>>;
+template class LLLReduction<Z_NR<double>, FP_NR<dpe_t>>;
+template class LLLReduction<Z_NR<mpz_t>, FP_NR<dpe_t>>;
+template bool is_lll_reduced<Z_NR<mpz_t>, FP_NR<dpe_t>>(MatGSO<Z_NR<mpz_t>, FP_NR<dpe_t>> &m,
+ double delta, double eta);
+#endif
+
+template class LLLReduction<Z_NR<long>, FP_NR<mpfr_t>>;
+template class LLLReduction<Z_NR<double>, FP_NR<mpfr_t>>;
+template class LLLReduction<Z_NR<mpz_t>, FP_NR<mpfr_t>>;
+template bool is_lll_reduced<Z_NR<mpz_t>, FP_NR<mpfr_t>>(MatGSO<Z_NR<mpz_t>, FP_NR<mpfr_t>> &m,
+ double delta, double eta);
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_LLL_H
+#define FPLLL_LLL_H
+
+#include "gso.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+/* The precision of FT must be defined before creating an instance of
+ LLLReduction. The matrix b can be modified between each call to lll. */
+
+template <class ZT, class FT> class LLLReduction
+{
+public:
+ /**
+ * Constructor.
+ * The precision of FT must be defined before creating an instance of the
+ * class and must remain the same until the object is destroyed (or no longer
+ * needed).
+ */
+ LLLReduction(MatGSO<ZT, FT> &m, double delta, double eta, int flags);
+
+ ~LLLReduction() { LDConvHelper::free(); }
+
+ bool lll(int kappa_min = 0, int kappa_start = 0, int kappa_end = -1);
+ inline bool size_reduction(int kappa_min = 0, int kappa_end = -1);
+
+ int status;
+ int final_kappa;
+ int last_early_red;
+ int zeros;
+ int n_swaps;
+
+private:
+ bool babai(int kappa, int ncols);
+ inline bool early_reduction(int start);
+ inline void print_params();
+ inline bool set_status(int new_status);
+
+ MatGSO<ZT, FT> &m;
+ FT delta, eta, swap_threshold;
+
+ bool enable_early_red;
+ bool siegel;
+ bool verbose;
+
+ vector<FT> lovasz_tests;
+ vector<FT> babai_mu;
+ vector<long> babai_expo;
+ ZT ztmp1;
+ FT mu_m_ant, ftmp1;
+};
+
+template <class ZT, class FT> bool is_lll_reduced(MatGSO<ZT, FT> &m, double delta, double eta);
+
+template <class ZT, class FT>
+inline bool LLLReduction<ZT, FT>::size_reduction(int kappa_min, int kappa_end)
+{
+ if (kappa_end == -1)
+ kappa_end = m.d;
+ for (int k = kappa_min; k < kappa_end; k++)
+ {
+ if ((k > 0 && !babai(k, k)) || !m.update_gso_row(k))
+ return false;
+ }
+ return set_status(RED_SUCCESS);
+}
+
+template <class ZT, class FT> inline bool LLLReduction<ZT, FT>::early_reduction(int start)
+{
+ m.lock_cols();
+ if (verbose)
+ {
+ cerr << "Early reduction start=" << start + 1 << endl;
+ }
+ for (int i = start; i < m.d; i++)
+ {
+ if (!babai(i, start))
+ return false;
+ }
+ m.unlock_cols();
+ last_early_red = start;
+ return true;
+}
+
+template <class ZT, class FT> inline void LLLReduction<ZT, FT>::print_params()
+{
+ cerr << "Entering LLL"
+ << "\ndelta = " << delta << "\neta = " << eta << "\nprecision = " << FT::get_prec()
+ << "\nexact_dot_product = " << static_cast<int>(m.enable_int_gram)
+ << "\nrow_expo = " << static_cast<int>(m.enable_row_expo)
+ << "\nearly_red = " << static_cast<int>(enable_early_red)
+ << "\nsiegel_cond = " << static_cast<int>(siegel)
+ << "\nlong_in_babai = " << static_cast<int>(m.row_op_force_long) << endl;
+}
+
+template <class ZT, class FT> inline bool LLLReduction<ZT, FT>::set_status(int new_status)
+{
+ status = new_status;
+ if (verbose)
+ {
+ if (status == RED_SUCCESS)
+ cerr << "End of LLL: success" << endl;
+ else
+ cerr << "End of LLL: failure: " << RED_STATUS_STR[status] << endl;
+ }
+ return status == RED_SUCCESS;
+}
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+
+This file is part of the fplll Library.
+
+The fplll Library is free software; you can redistribute it and/or modify
+it under the terms of 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 fplll 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 Lesser General Public
+License for more details.
+
+You should have received a copy of the GNU Lesser General Public License
+along with the fplll Library; see the file COPYING. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "util.h"
+
+using namespace fplll;
+
+template <class ZT>
+int llldiff (ZZ_mat<ZT>& B1, ZZ_mat<ZT>& B2, int c, int r)
+{
+ int test=1, i, j, sg;
+ Z_NR<ZT> tmp1;
+ Z_NR<ZT> tmp2;
+
+ for (i=0; i<r; i++){
+ sg = 1;
+ tmp1.abs(B1(i,0));
+ tmp2.abs(B2(i,0));
+ if (tmp1.cmp(tmp2)!=0){
+ //cerr << r << ", 0\n";
+ test = 0;
+ }
+ if (tmp1.cmp(B1(i,0))!=0) sg *=-1;
+ if (tmp1.cmp(B2(i,0))!=0) sg *=-1;
+
+ if (sg == 1){
+ for (j=1; j<c; j++){
+ if (B1(i,j).cmp(B2(i,j))!=0){
+ //cerr << i << " " << j << "\n";
+ test = 0;
+ }
+ }
+ }
+ else{
+ for (j=1; j<c; j++){
+ tmp1.mul_si(B1(i,j),-1);
+ if (tmp1.cmp(B2(i,j))!=0){
+ //cerr << i << " " << j << "\n";
+ test = 0;
+ }
+ }
+ }
+ }
+
+ return (test);
+}
+
+
+
+/* ********************** */
+/* MAIN **************** */
+/* ********************** */
+
+int
+main (int argc, char ** argv)
+{
+ int c, r, ac;
+ ZZ_mat<mpz_t> mat1, mat2;
+
+ for (ac = 1; ac < argc; ac++) {
+ if (strcmp(argv[ac], "-c") == 0 || strcmp(argv[ac], "-r") == 0) {
+ if (ac < argc - 1) ++ac;
+ }
+ else if (strcmp(argv[ac], "--help") == 0) {
+ cout << "Usage: cat matrix1 matrix2 | " << argv[0] << endl;
+ return 0;
+ }
+ else if (argv[ac][0] == '-') {
+ cerr << "llldiff: invalid option '" << argv[ac] << "'" << endl;
+ return 1;
+ }
+ else {
+ break;
+ }
+ }
+
+ istream* inputStream;
+ if (argv[ac])
+ inputStream = new ifstream(argv[ac]);
+ else
+ inputStream = &cin;
+
+ *inputStream >> mat1;
+ *inputStream >> mat2;
+
+ if (argv[ac])
+ delete inputStream;
+
+ r = mat1.get_rows();
+ c = mat1.get_cols();
+
+ int difference = !llldiff<mpz_t>(mat1, mat2, c, r);
+
+ if (difference) {
+ cerr << "===INVALID RESULT===" << endl;
+ }
+
+ return difference;
+}
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2008-2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "main.h"
+#include <config.h>
+
+template <class ZT> int lll(Options &o, ZZ_mat<ZT> &b)
+{
+ ZZ_mat<ZT> u, u_inv;
+ const char *format = o.output_format ? o.output_format : "b";
+ int status, flags = 0;
+ if (o.verbose)
+ flags |= LLL_VERBOSE;
+ if (o.early_red)
+ flags |= LLL_EARLY_RED;
+ if (o.siegel)
+ flags |= LLL_SIEGEL;
+
+ if (strchr(format, 'v') != NULL)
+ {
+ // LLL-reduction with transform and inverse transform
+ status = lll_reduction(b, u, u_inv, o.delta, o.eta, o.method, o.float_type, o.precision, flags);
+ }
+ else if (strchr(format, 'u') != NULL)
+ {
+ // LLL-reduction with transform
+ status = lll_reduction(b, u, o.delta, o.eta, o.method, o.float_type, o.precision, flags);
+ }
+ else
+ {
+ status = lll_reduction(b, o.delta, o.eta, o.method, o.float_type, o.precision, flags);
+ }
+
+ for (int i = 0; format[i]; i++)
+ {
+ switch (format[i])
+ {
+ case 'b':
+ cout << b << endl;
+ break;
+ case 'u':
+ cout << u << endl;
+ break;
+ case 'v':
+ cout << u_inv << endl;
+ break;
+ case 't':
+ cout << status << endl;
+ break;
+ case ' ':
+ cout << endl;
+ break;
+ }
+ }
+ if (status != RED_SUCCESS)
+ {
+ cerr << "Failure: " << get_red_status_str(status) << endl;
+ }
+ return status;
+}
+
+/* BKZ reduction */
+
+void read_pruning_vector(const char *file_name, Pruning &pr, int n)
+{
+ double x;
+ FILE *file = fopen(file_name, "r");
+ CHECK(file, "Cannot open '" << file_name << "'");
+
+ pr.coefficients.clear();
+ for (int i = 0; i <= n && fscanf(file, "%lf", &x) == 1; i++)
+ {
+ pr.coefficients.push_back(x);
+ CHECK(x > 0 && x <= 1, "Number " << x << " in file '" << file_name
+ << "' is not in the interval (0,1]");
+ if (i == 0)
+ {
+ CHECK(x == 1, "The first number in file '" << file_name << "' should be 1");
+ }
+ else
+ {
+ CHECK(pr.coefficients[i] <= pr.coefficients[i - 1],
+ "File '" << file_name << "' should contain a non-increasing sequence of numbers");
+ }
+ }
+ CHECK(static_cast<int>(pr.coefficients.size()) == n,
+ "File '" << file_name << "' should contain exactly " << n << " numbers");
+}
+
+template <class ZT> int bkz(Options &o, ZZ_mat<ZT> &b) { ABORT_MSG("mpz required for BKZ"); }
+
+template <> int bkz(Options &o, IntMatrix &b)
+{
+ CHECK(o.block_size > 0, "Option -b is missing");
+ vector<Strategy> strategies;
+ if (!o.bkz_strategy_file.empty())
+ {
+ strategies = load_strategies_json(strategy_full_path(o.bkz_strategy_file));
+ }
+
+ BKZParam param(o.block_size, strategies);
+ IntMatrix u;
+ const char *format = o.output_format ? o.output_format : "b";
+ int status;
+
+ param.delta = o.delta;
+ param.flags = o.bkz_flags;
+
+ if (o.bkz_flags & BKZ_DUMP_GSO)
+ param.dump_gso_filename = o.bkz_dump_gso_filename;
+ if (o.bkz_flags & BKZ_GH_BND)
+ param.gh_factor = o.bkz_gh_factor;
+ if (o.bkz_flags & BKZ_MAX_LOOPS)
+ param.max_loops = o.bkz_max_loops;
+ if (o.verbose)
+ param.flags |= BKZ_VERBOSE;
+ if (o.no_lll)
+ param.flags |= BKZ_NO_LLL;
+
+ status = bkz_reduction(&b, strchr(format, 'u') ? &u : NULL, param, o.float_type, o.precision);
+
+ for (int i = 0; format[i]; i++)
+ {
+ switch (format[i])
+ {
+ case 'b':
+ cout << b << endl;
+ break;
+ case 'u':
+ cout << u << endl;
+ break;
+ case 't':
+ cout << status << endl;
+ break;
+ case ' ':
+ cout << endl;
+ break;
+ }
+ }
+ if (status != RED_SUCCESS)
+ {
+ cerr << "Failure: " << get_red_status_str(status) << endl;
+ }
+ return status;
+}
+
+/* HKZ reduction
+ Note: since we only force |mu_i,j| <= eta with eta > 0.5, the solution
+ is not unique even for a generic matrix */
+
+template <class ZT> int hkz(Options &o, ZZ_mat<ZT> &b) { ABORT_MSG("mpz required for HKZ"); }
+
+template <> int hkz(Options &o, ZZ_mat<mpz_t> &b)
+{
+ int flags = 0;
+ if (o.verbose)
+ flags |= HKZ_VERBOSE;
+ int status = hkz_reduction(b, flags, o.float_type, o.precision);
+ cout << b << endl;
+ if (status != RED_SUCCESS)
+ {
+ cerr << "Failure: " << get_red_status_str(status) << endl;
+ }
+ return status;
+}
+
+/* Shortest vector problem and closest vector problem */
+
+template <class ZT> int svpcvp(Options &o, ZZ_mat<ZT> &b, const vector<Z_NR<ZT>> &target)
+{
+ if (target.empty())
+ {
+ ABORT_MSG("mpz required for SVP");
+ }
+ else
+ {
+ ABORT_MSG("mpz required for CVP");
+ }
+}
+
+template <> int svpcvp(Options &o, ZZ_mat<mpz_t> &b, const vector<Z_NR<mpz_t>> &target)
+{
+ const char *format = o.output_format ? o.output_format : "s";
+ IntVect sol_coord; // In the LLL-reduced basis
+ IntVect sol_coord_2; // In the initial basis
+ IntVect solution;
+ IntMatrix u;
+ bool with_coord = strchr(format, 'c') != NULL;
+ bool with_coord_std = strchr(format, 's') != NULL;
+ int flags = SVP_DEFAULT | (o.verbose ? SVP_VERBOSE : 0);
+ int flagsLLL = LLL_DEFAULT | (o.verbose ? LLL_VERBOSE : 0);
+ int status;
+
+ if (!o.no_lll)
+ {
+ if (with_coord)
+ {
+ status = lll_reduction(b, u, LLL_DEF_DELTA, LLL_DEF_ETA, LM_WRAPPER, FT_DEFAULT, 0, flagsLLL);
+ }
+ else
+ {
+ status = lll_reduction(b, LLL_DEF_DELTA, LLL_DEF_ETA, LM_WRAPPER, FT_DEFAULT, 0, flagsLLL);
+ }
+ if (status != RED_SUCCESS)
+ {
+ cerr << "LLL reduction failed: " << get_red_status_str(status) << endl;
+ return status;
+ }
+ }
+
+ if (target.empty())
+ status = shortest_vector(b, sol_coord, SVPM_PROVED, flags);
+ else
+ status = closest_vector(b, target, sol_coord, flags);
+
+ if (status != RED_SUCCESS)
+ {
+ cerr << "Failure: " << get_red_status_str(status) << endl;
+ return status;
+ }
+ if (with_coord)
+ {
+ if (o.no_lll)
+ sol_coord_2 = sol_coord;
+ else
+ vector_matrix_product(sol_coord_2, sol_coord, u);
+ }
+ if (with_coord_std)
+ {
+ vector_matrix_product(solution, sol_coord, b);
+ }
+
+ for (int i = 0; format[i]; i++)
+ {
+ switch (format[i])
+ {
+ case 'c':
+ cout << sol_coord_2 << endl;
+ break;
+ case 's':
+ cout << solution << endl;
+ break;
+ case 't':
+ cout << status << endl;
+ break;
+ case ' ':
+ cout << endl;
+ break;
+ }
+ }
+ return status;
+}
+
+template <class ZT> int run_action(Options &o)
+{
+ istream *is;
+ ZZ_mat<ZT> m;
+ vector<Z_NR<ZT>> target;
+
+ if (o.input_file)
+ is = new ifstream(o.input_file);
+ else
+ is = &cin;
+
+ *is >> m;
+ if (o.action == ACTION_CVP)
+ {
+ *is >> target;
+ }
+ if (!*is)
+ ABORT_MSG("invalid input");
+ if (o.input_file)
+ delete is;
+
+ int result = 0;
+ switch (o.action)
+ {
+ case ACTION_LLL:
+ result = lll(o, m);
+ break;
+ case ACTION_SVP:
+ result = svpcvp(o, m, target);
+ break;
+ case ACTION_CVP:
+ result = svpcvp(o, m, target);
+ break;
+ case ACTION_HKZ:
+ result = hkz(o, m);
+ break;
+ case ACTION_BKZ:
+ result = bkz(o, m);
+ break;
+ default:
+ ABORT_MSG("unimplemented action");
+ break;
+ }
+ return result;
+}
+
+/* Command line parsing */
+
+void read_options(int argc, char **argv, Options &o)
+{
+ for (int ac = 1; ac < argc; ac++)
+ {
+ if (strcmp(argv[ac], "-a") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -a switch");
+ if (strcmp(argv[ac], "lll") == 0)
+ o.action = ACTION_LLL;
+ else if (strcmp(argv[ac], "hkz") == 0)
+ o.action = ACTION_HKZ;
+ else if (strcmp(argv[ac], "bkz") == 0)
+ o.action = ACTION_BKZ;
+ else if (strcmp(argv[ac], "svp") == 0)
+ o.action = ACTION_SVP;
+ else if (strcmp(argv[ac], "cvp") == 0)
+ o.action = ACTION_CVP;
+ else if (strcmp(argv[ac], "sdb") == 0)
+ {
+ o.action = ACTION_BKZ;
+ o.bkz_flags |= BKZ_SD_VARIANT;
+ }
+ else if (strcmp(argv[ac], "sld") == 0)
+ {
+ o.action = ACTION_BKZ;
+ o.bkz_flags |= BKZ_SLD_RED;
+ }
+ else
+ ABORT_MSG("parse error in -a switch: lll or svp expected");
+ }
+ else if (strcmp(argv[ac], "-b") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -b switch");
+ o.block_size = atoi(argv[ac]);
+ }
+ else if (strcmp(argv[ac], "-bkzboundedlll") == 0)
+ {
+ o.bkz_flags |= BKZ_BOUNDED_LLL;
+ }
+ else if (strcmp(argv[ac], "-bkzmaxloops") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after '-bkzmaxloops'");
+ o.bkz_max_loops = atoi(argv[ac]);
+ o.bkz_flags |= BKZ_MAX_LOOPS;
+ }
+ else if (strcmp(argv[ac], "-bkzmaxtime") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after '-bkzmaxtime'");
+ o.bkz_max_time = atof(argv[ac]);
+ o.bkz_flags |= BKZ_MAX_TIME;
+ }
+ else if (strcmp(argv[ac], "-bkzautoabort") == 0)
+ {
+ o.bkz_flags |= BKZ_AUTO_ABORT;
+ }
+ else if (strcmp(argv[ac], "-bkzdumpgso") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing filename after -bkzdumpgso switch");
+ o.bkz_dump_gso_filename = argv[ac];
+ o.bkz_flags |= BKZ_DUMP_GSO;
+ }
+ else if (strcmp(argv[ac], "-c") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -c switch");
+ // o.c=atoi(argv[ac]); // ignored (was the number of columns)
+ }
+ else if (strcmp(argv[ac], "-bkzghbound") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after '-bkzghbound'");
+ o.bkz_gh_factor = atof(argv[ac]);
+ o.bkz_flags |= BKZ_GH_BND;
+ }
+ else if (strcmp(argv[ac], "-d") == 0 || strcmp(argv[ac], "-delta") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -d switch");
+ o.delta = atof(argv[ac]);
+ }
+ else if (strcmp(argv[ac], "-e") == 0 || strcmp(argv[ac], "-eta") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -e switch");
+ o.eta = atof(argv[ac]);
+ }
+ else if (strcmp(argv[ac], "-f") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -f switch");
+ if (strcmp("mpfr", argv[ac]) == 0)
+ o.float_type = FT_MPFR;
+ else if (strcmp("dpe", argv[ac]) == 0)
+ o.float_type = FT_DPE;
+ else if (strcmp("dd", argv[ac]) == 0)
+ o.float_type = FT_DD;
+ else if (strcmp("qd", argv[ac]) == 0)
+ o.float_type = FT_QD;
+ else if (strcmp("double", argv[ac]) == 0)
+ o.float_type = FT_DOUBLE;
+ else if (strcmp("longdouble", argv[ac]) == 0)
+ o.float_type = FT_LONG_DOUBLE;
+ else
+ ABORT_MSG("parse error in -f switch : mpfr, qd, dd, dpe or double expected");
+ }
+ else if (strcmp(argv[ac], "-s") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -s switch");
+ o.bkz_strategy_file = argv[ac];
+ }
+ else if (strcmp(argv[ac], "-l") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -l switch");
+ o.siegel = !atoi(argv[ac]);
+ }
+ else if (strcmp(argv[ac], "-m") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -m switch");
+ if (strcmp("wrapper", argv[ac]) == 0)
+ o.method = LM_WRAPPER;
+ else if (strcmp("proved", argv[ac]) == 0)
+ o.method = LM_PROVED;
+ else if (strcmp("heuristic", argv[ac]) == 0)
+ o.method = LM_HEURISTIC;
+ else if (strcmp("fast", argv[ac]) == 0)
+ o.method = LM_FAST;
+ else if (strcmp("fastearly", argv[ac]) == 0)
+ {
+ o.method = LM_FAST;
+ o.early_red = true;
+ }
+ else if (strcmp("heuristicearly", argv[ac]) == 0)
+ {
+ o.method = LM_HEURISTIC;
+ o.early_red = true;
+ }
+ else
+ ABORT_MSG("parse error in -m switch : proved, heuristic, fast, "
+ << "or wrapper expected");
+ }
+ else if (strcmp(argv[ac], "-nolll") == 0)
+ {
+ o.no_lll = true;
+ }
+ else if (strcmp(argv[ac], "-of") == 0)
+ {
+ ac++;
+ CHECK(ac < argc, "missing value after -of switch");
+ o.output_format = argv[ac];
+ }
+ else if (strcmp(argv[ac], "-p") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -p switch");
+ o.precision = atoi(argv[ac]);
+ }
+ else if (strcmp(argv[ac], "-r") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -r switch");
+ // o.r = atoi(argv[ac]); // ignored (was the number of rows)
+ }
+ else if (strcmp(argv[ac], "-v") == 0)
+ {
+ o.verbose = true;
+ }
+ else if (strcmp(argv[ac], "-y") == 0)
+ {
+ o.early_red = true;
+ }
+ else if (strcmp(argv[ac], "-z") == 0)
+ {
+ ++ac;
+ CHECK(ac < argc, "missing value after -z switch");
+ if (strcmp("mpz", argv[ac]) == 0)
+ o.int_type = ZT_MPZ;
+ else if (strcmp("long", argv[ac]) == 0 || strcmp("int", argv[ac]) == 0)
+ o.int_type = ZT_LONG;
+ else if (strcmp("double", argv[ac]) == 0)
+ o.int_type = ZT_DOUBLE;
+ else
+ ABORT_MSG("parse error in -z switch : int, double or mpz expected");
+ }
+ else if ((strcmp(argv[ac], "-h") == 0) || (strcmp(argv[ac], "--help") == 0))
+ {
+ cout << "Usage: " << argv[0] << " [options] [file]\n"
+ << "List of options:\n"
+ << " -a [lll|svp|bkz|sld|sdbkz]\n"
+ << " lll = LLL-reduce the input matrix (default)\n"
+ << " bkz = BKZ-reduce the input matrix\n"
+ << " sdb = reduce the input matrix using the self dual BKZ variant\n"
+ << " sld = slide reduce the input matrix\n"
+ << " svp = compute a shortest non-zero vector of the lattice\n"
+ << " -m [proved|heuristic|fast|wrapper]\n"
+ << " LLL version (default: wrapper)\n"
+ << " -z [int|mpz|double]\n"
+ << " Integer type in LLL (default: mpz)\n"
+ << " -f [mpfr|qd|dd|dpe|double]\n"
+ << " Floating-point type in LLL (proved/heuristic method only; default: dpe)\n"
+ << " -p <precision>\n"
+ << " Floating-point precision (only with -f mpfr)\n"
+ << " -d <delta> (default=0.99)\n"
+ << " -e <eta> (default=0.51)\n"
+ << " -l <lovasz>\n"
+ << " -s <filename.json> load BKZ strategies from filename"
+ << " -y\n"
+ << " Enable early reduction\n"
+ << " -b <block_size>\n"
+ << " Size of BKZ blocks\n"
+ << " -v\n"
+ << " Enable verbose mode\n";
+ exit(0);
+ }
+ else if (strcmp(argv[ac], "--version") == 0)
+ {
+ cout << "fplll " << VERSION << endl
+ << "Copyright 2005-2012 Damien Stehle, David Cade, Xavier Pujol." << endl
+ << "fplll is free software. You can redistribute it and/or modify" << endl
+ << "it under the terms of the GNU Lesser General Public License as published by" << endl
+ << "the Free Software Foundation, either version 2.1 of the License, or" << endl
+ << "(at your option) any later version." << endl;
+ exit(0);
+ }
+ else if (argv[ac][0] == '-')
+ {
+ ABORT_MSG("invalid option '" << argv[ac] << "'.\n"
+ "Try '"
+ << argv[0] << " --help' for more information.");
+ }
+ else
+ {
+ CHECK(!o.input_file, "too many input files");
+ o.input_file = argv[ac];
+ }
+ }
+}
+
+int main(int argc, char **argv)
+{
+ int result;
+ Options o;
+ read_options(argc, argv, o);
+ IntMatrix::set_print_mode(MAT_PRINT_REGULAR);
+ switch (o.int_type)
+ {
+ case ZT_MPZ:
+ result = run_action<mpz_t>(o);
+ break;
+#ifdef FPLLL_WITH_ZLONG
+ case ZT_LONG:
+ result = run_action<long int>(o);
+ break;
+#endif
+#ifdef FPLLL_WITH_ZDOUBLE
+ case ZT_DOUBLE:
+ result = run_action<double>(o);
+ break;
+#endif
+ default:
+ ABORT_MSG("compiled without support for this integer type");
+ }
+ return result;
+}
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2008-2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_MAIN_H
+#define FPLLL_MAIN_H
+
+#include <cstring>
+#include "fplll.h"
+
+#define ABORT_MSG(y) {cerr << "fplll: " << y << endl; exit(1);}
+#define CHECK(x, y) if (!(x)) ABORT_MSG(y)
+
+using namespace std;
+using namespace fplll;
+
+
+enum Action {
+ ACTION_LLL,
+ ACTION_HKZ,
+ ACTION_BKZ,
+ ACTION_SVP,
+ ACTION_CVP
+};
+
+struct Options {
+ Options() : action(ACTION_LLL), method(LM_WRAPPER), int_type(ZT_MPZ),
+ float_type(FT_DEFAULT), delta(LLL_DEF_DELTA), eta(LLL_DEF_ETA),
+ precision(0), early_red(false), siegel(false), no_lll(false),
+ block_size(0), bkz_gh_factor(1.1), verbose(false), input_file(NULL),
+ output_format(NULL) {
+ bkz_flags = 0;
+ bkz_max_loops = 0;
+ bkz_max_time = 0;
+ }
+ Action action;
+ LLLMethod method;
+ IntType int_type;
+ FloatType float_type;
+ double delta;
+ double eta;
+ int precision;
+ bool early_red;
+ bool siegel;
+
+ bool no_lll;
+ int block_size;
+ int bkz_flags;
+ int bkz_max_loops;
+ double bkz_max_time;
+ string bkz_dump_gso_filename;
+ double bkz_gh_factor;
+ string bkz_strategy_file;
+
+ bool verbose;
+ const char* input_file;
+ const char* output_format;
+};
+
+#endif
--- /dev/null
+/* Copyright (C) 2004, 2005, 2006, 2008 Patrick Pelissier, Paul Zimmermann,
+ LORIA/INRIA Nancy - Grand-Est.
+
+ This file is part of the DPE Library.
+
+ The DPE Library is free software; you can redistribute it and/or modify
+ it under the terms of 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 DPE 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 Lesser General Public
+ License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with the DPE Library; see the file COPYING.LIB. If not, write to
+ the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
+ MA 02110-1301, USA. */
+
+/* WARNING: Patched version */
+
+#ifndef FPLLL_DPE_H
+#define FPLLL_DPE_H
+#define __DPE
+
+#include <stdlib.h> /* For exit */
+#include <stdio.h> /* For fprintf and fscanf */
+#include <math.h> /* for round, floor, ceil */
+#if defined (__sun) /* for round on Solaris 10 */
+#include "tgmath.h"
+#include "ieeefp.h"
+#undef NAN
+#define NAN 0.0/0.0
+#endif
+#include <limits.h>
+
+#define DPE_VERSION_MAJOR 1
+#define DPE_VERSION_MINOR 5
+
+#if defined(__GNUC__) && (__GNUC__ >= 3)
+# define DPE_LIKELY(x) (__builtin_expect(!!(x),1))
+# define DPE_UNLIKELY(x) (__builtin_expect((x),0))
+# define DPE_UNUSED_ATTR __attribute__((unused))
+#else
+# define DPE_LIKELY(x) (x)
+# define DPE_UNLIKELY(x) (x)
+# define DPE_UNUSED_ATTR
+#endif
+
+#if !defined(DPE_USE_DOUBLE) && !defined(DPE_USE_LONGDOUBLE)
+# define DPE_USE_DOUBLE
+#endif
+
+#if (defined(__i386) || defined (__x86_64)) && !defined(DPE_LITTLEENDIAN32) && defined(DPE_USE_DOUBLE)
+# define DPE_LITTLEENDIAN32
+#endif
+
+#if defined(DPE_USE_DOUBLE)
+# define DPE_DOUBLE double /* mantissa type */
+# define DPE_BITSIZE 53 /* bitsize of DPE_DOUBLE */
+# define DPE_2_POW_BITSIZE 9007199254740992
+/* DPE_LDEXP(DPE_DOUBLE m, DPEEXP e) return x = m * 2^e */
+# define DPE_LDEXP ldexp
+/* DPE_FREXP(DPE_DOUBLE x, DPEEXP *e) returns m, e such that x = m * 2^e with
+ 1/2 <= m < 1 */
+# define DPE_FREXP frexp
+/* DPE_ROUND(DPE_DOUBLE x) returns the nearest integer to x */
+# define DPE_ROUND round
+# define DPE_RINT rint
+# define DPE_FLOOR floor
+# define DPE_CEIL ceil
+# define DPE_TRUNC trunc
+#elif defined(DPE_USE_LONGDOUBLE)
+# define DPE_DOUBLE long double
+# define DPE_BITSIZE 64
+# define DPE_2_POW_BITSIZE 18446744073709551616
+# define DPE_LDEXP ldexpl
+# define DPE_FREXP frexpl
+# define DPE_ROUND roundl
+# define DPE_RINT rintl
+# define DPE_FLOOR floorl
+# define DPE_CEIL ceill
+# define DPE_TRUNC truncl
+#else
+# error "neither DPE_USE_DOUBLE nor DPE_USE_LONGDOUBLE is defined"
+#endif
+
+#if defined(DPE_USE_LONG)
+# define DPE_EXP_T long /* exponent type */
+# define DPE_EXPMIN LONG_MIN /* smallest possible exponent */
+#elif defined(DPE_USE_LONGLONG)
+# define DPE_EXP_T long long
+# define DPE_EXPMIN LONG_LONG_MIN
+#else
+# define DPE_EXP_T int /* exponent type */
+# define DPE_EXPMIN INT_MIN /* smallest possible exponent */
+#endif
+
+typedef union
+{
+ double d;
+ int i[2];
+} dpe_double_words;
+
+typedef struct
+{
+ DPE_DOUBLE d; /* significand */
+ DPE_EXP_T exp; /* exponent */
+} dpe_struct;
+
+typedef dpe_struct dpe_t[1];
+
+#define DPE_MANT(x) ((x)->d)
+#define DPE_EXP(x) ((x)->exp)
+#define DPE_SIGN(x) ((DPE_MANT(x) < 0.0) ? -1 : (DPE_MANT(x) > 0.0))
+
+#define DPE_INLINE static inline
+
+/* initialize */
+DPE_INLINE void
+dpe_init (dpe_t x DPE_UNUSED_ATTR)
+{
+}
+
+/* clear */
+DPE_INLINE void
+dpe_clear (dpe_t x DPE_UNUSED_ATTR)
+{
+}
+
+/* set x to y */
+DPE_INLINE void
+dpe_set (dpe_t x, const dpe_t y)
+{
+ DPE_MANT(x) = DPE_MANT(y);
+ DPE_EXP(x) = DPE_EXP(y);
+}
+
+/* set x to -y */
+DPE_INLINE void
+dpe_neg (dpe_t x, const dpe_t y)
+{
+ DPE_MANT(x) = -DPE_MANT(y);
+ DPE_EXP(x) = DPE_EXP(y);
+}
+
+/* set x to |y| */
+DPE_INLINE void
+dpe_abs (dpe_t x, const dpe_t y)
+{
+ DPE_MANT(x) = (DPE_MANT(y) >= 0) ? DPE_MANT(y) : -DPE_MANT(y);
+ DPE_EXP(x) = DPE_EXP(y);
+}
+
+/* set mantissa in [1/2, 1), except for 0 which has minimum exponent */
+static void
+dpe_normalize (dpe_t x)
+{
+ if (DPE_UNLIKELY (DPE_MANT(x) == 0.0 || std::isfinite (DPE_MANT(x)) == 0))
+ {
+ if (DPE_MANT(x) == 0.0)
+ DPE_EXP(x) = DPE_EXPMIN;
+ /* otherwise let the exponent of NaN, Inf unchanged */
+ }
+ else
+ {
+ DPE_EXP_T e;
+#ifdef DPE_LITTLEENDIAN32 /* 32-bit little endian */
+ dpe_double_words dw;
+ dw.d = DPE_MANT(x);
+ e = (dw.i[1] >> 20) & 0x7FF; /* unbiased exponent, 1022 for m=1/2 */
+ DPE_EXP(x) += e - 1022;
+ dw.i[1] = (dw.i[1] & 0x800FFFFF) | 0x3FE00000;
+ DPE_MANT(x) = dw.d;
+#else /* portable code */
+ double m = DPE_MANT(x);
+ DPE_MANT(x) = DPE_FREXP (m, &e);
+ DPE_EXP(x) += e;
+#endif
+ }
+}
+
+#if defined(DPE_USE_DOUBLE)
+static const double dpe_scale_tab[54] = {
+1.0000000000000000000 , 0.5000000000000000000 , 0.2500000000000000000 ,
+0.1250000000000000000 , 0.0625000000000000000 , 0.0312500000000000000 ,
+0.0156250000000000000 , 0.0078125000000000000 , 0.0039062500000000000 ,
+0.0019531250000000000 , 0.0009765625000000000 , 0.0004882812500000000 ,
+0.0002441406250000000 , 0.0001220703125000000 , 0.0000610351562500000 ,
+0.0000305175781250000 , 0.0000152587890625000 , 7.6293945312500000e-6 ,
+3.8146972656250000e-6 , 1.9073486328125000e-6 , 9.5367431640625000e-7 ,
+4.7683715820312500e-7 , 2.3841857910156250e-7 , 1.1920928955078125e-7 ,
+5.9604644775390625e-8 , 2.9802322387695312e-8 , 1.4901161193847656e-8 ,
+7.4505805969238281e-9 , 3.7252902984619141e-9 , 1.8626451492309570e-9 ,
+9.3132257461547852e-10 , 4.6566128730773926e-10 , 2.3283064365386963e-10 ,
+1.1641532182693481e-10 , 5.8207660913467407e-11 , 2.9103830456733704e-11 ,
+1.4551915228366852e-11 , 7.2759576141834259e-12 , 3.6379788070917130e-12 ,
+1.8189894035458565e-12 , 9.0949470177292824e-13 , 4.5474735088646412e-13 ,
+2.2737367544323206e-13 , 1.1368683772161603e-13 , 5.6843418860808015e-14 ,
+2.8421709430404007e-14 , 1.4210854715202004e-14 , 7.1054273576010019e-15 ,
+3.5527136788005009e-15 , 1.7763568394002505e-15 , 8.8817841970012523e-16 ,
+4.4408920985006262e-16 , 2.2204460492503131e-16 , 1.1102230246251565e-16 };
+#endif
+
+DPE_INLINE double
+dpe_scale (double d, int s)
+{
+ /* -DPE_BITSIZE < s <= 0 and 1/2 <= d < 1 */
+#if defined(DPE_USE_DOUBLE)
+ return d * dpe_scale_tab [-s];
+#else /* portable code */
+ return DPE_LDEXP (d, s);
+#endif
+}
+
+/* set x to y */
+DPE_INLINE void
+dpe_set_d (dpe_t x, double y)
+{
+ DPE_MANT(x) = (DPE_DOUBLE) y;
+ DPE_EXP(x) = 0;
+ dpe_normalize (x);
+}
+
+/* set x to y */
+DPE_INLINE void
+dpe_set_ld (dpe_t x, long double y)
+{
+ DPE_MANT(x) = (DPE_DOUBLE) y;
+ DPE_EXP(x) = 0;
+ dpe_normalize (x);
+}
+
+/* set x to y */
+DPE_INLINE void
+dpe_set_ui (dpe_t x, unsigned long y)
+{
+ DPE_MANT(x) = (DPE_DOUBLE) y;
+ DPE_EXP(x) = 0;
+ dpe_normalize (x);
+}
+
+/* set x to y */
+DPE_INLINE void
+dpe_set_si (dpe_t x, long y)
+{
+ DPE_MANT(x) = (DPE_DOUBLE) y;
+ DPE_EXP(x) = 0;
+ dpe_normalize (x);
+}
+
+DPE_INLINE long
+dpe_get_si (const dpe_t x)
+{
+ DPE_DOUBLE d = DPE_LDEXP (DPE_MANT (x), DPE_EXP (x));
+ return (long) d;
+}
+
+DPE_INLINE unsigned long
+dpe_get_ui (const dpe_t x)
+{
+ DPE_DOUBLE d = DPE_LDEXP (DPE_MANT (x), DPE_EXP (x));
+ return (d < 0.0) ? 0 : (unsigned long) d;
+}
+
+DPE_INLINE double
+dpe_get_d (const dpe_t x)
+{
+ return DPE_LDEXP (DPE_MANT (x), DPE_EXP (x));
+}
+
+DPE_INLINE long double
+dpe_get_ld (const dpe_t x)
+{
+ return DPE_LDEXP (DPE_MANT (x), DPE_EXP (x));
+}
+
+
+#ifdef __GMP_H__
+/* set x to y */
+DPE_INLINE void
+dpe_set_z (dpe_t x, const mpz_t y)
+{
+ long e;
+ DPE_MANT(x) = mpz_get_d_2exp (&e, y);
+ DPE_EXP(x) = (DPE_EXP_T) e;
+}
+
+/* set x to y, rounded to nearest */
+DPE_INLINE void
+dpe_get_z (mpz_t x, const dpe_t y)
+{
+ DPE_EXP_T ey = DPE_EXP(y);
+ if (ey >= DPE_BITSIZE) /* y is an integer */
+ {
+ DPE_DOUBLE d = DPE_MANT(y) * DPE_2_POW_BITSIZE; /* d is an integer */
+ mpz_set_d (x, d); /* should be exact */
+ mpz_mul_2exp (x, x, (unsigned long) ey - DPE_BITSIZE);
+ }
+ else /* DPE_EXP(y) < DPE_BITSIZE */
+ {
+ if (DPE_UNLIKELY (ey < 0)) /* |y| < 1/2 */
+ mpz_set_ui (x, 0);
+ else
+ {
+ DPE_DOUBLE d = DPE_LDEXP(DPE_MANT(y), ey);
+ mpz_set_d (x, (double) DPE_ROUND(d));
+ }
+ }
+}
+
+/* return e and x such that y = x*2^e */
+DPE_INLINE mp_exp_t
+dpe_get_z_exp (mpz_t x, const dpe_t y)
+{
+ mpz_set_d (x, DPE_MANT (y) * DPE_2_POW_BITSIZE);
+ return DPE_EXP(y) - DPE_BITSIZE;
+}
+
+
+#endif //#ifdef __GMP_H__
+
+
+#ifdef __MPFR_H
+/* set x to y where y is mpfr_t. */
+DPE_INLINE void
+dpe_get_mpfr (mpfr_t y, const dpe_t x, const mp_rnd_t rnd)
+{
+ mpfr_set_d (y, DPE_MANT(x), rnd);
+ mpfr_mul_2si (y, y, DPE_EXP(x), rnd);
+}
+
+/* set y to x */
+DPE_INLINE void
+dpe_set_mpfr (dpe_t x, const mpfr_t y)
+{
+ long exp;
+ DPE_MANT(x) = mpfr_get_d_2exp (&exp, y, GMP_RNDN);
+ DPE_EXP(x) = exp;
+ dpe_normalize (x);
+}
+
+#endif // __MPFR_H
+
+
+/* x <- y + z, assuming y and z are normalized, returns x normalized */
+DPE_INLINE void
+dpe_add (dpe_t x, const dpe_t y, const dpe_t z)
+{
+ if (DPE_UNLIKELY (DPE_EXP(y) > DPE_EXP(z) + DPE_BITSIZE))
+ /* |z| < 1/2*ulp(y), thus o(y+z) = y */
+ dpe_set (x, y);
+ else if (DPE_UNLIKELY (DPE_EXP(z) > DPE_EXP(y) + DPE_BITSIZE))
+ dpe_set (x, z);
+ else
+ {
+ DPE_EXP_T d = DPE_EXP(y) - DPE_EXP(z); /* |d| <= DPE_BITSIZE */
+
+ if (d >= 0)
+ {
+ DPE_MANT(x) = DPE_MANT(y) + dpe_scale (DPE_MANT(z), -d);
+ DPE_EXP(x) = DPE_EXP(y);
+ }
+ else
+ {
+ DPE_MANT(x) = DPE_MANT(z) + dpe_scale (DPE_MANT(y), d);
+ DPE_EXP(x) = DPE_EXP(z);
+ }
+ dpe_normalize (x);
+ }
+}
+
+/* x <- y - z, assuming y and z are normalized, returns x normalized */
+DPE_INLINE void
+dpe_sub (dpe_t x, const dpe_t y, const dpe_t z)
+{
+ if (DPE_UNLIKELY (DPE_EXP(y) > DPE_EXP(z) + DPE_BITSIZE))
+ /* |z| < 1/2*ulp(y), thus o(y-z) = y */
+ dpe_set (x, y);
+ else if (DPE_UNLIKELY (DPE_EXP(z) > DPE_EXP(y) + DPE_BITSIZE))
+ dpe_neg (x, z);
+ else
+ {
+ DPE_EXP_T d = DPE_EXP(y) - DPE_EXP(z); /* |d| <= DPE_BITSIZE */
+
+ if (d >= 0)
+ {
+ DPE_MANT(x) = DPE_MANT(y) - dpe_scale (DPE_MANT(z), -d);
+ DPE_EXP(x) = DPE_EXP(y);
+ }
+ else
+ {
+ DPE_MANT(x) = dpe_scale (DPE_MANT(y), d) - DPE_MANT(z);
+ DPE_EXP(x) = DPE_EXP(z);
+ }
+ dpe_normalize (x);
+ }
+}
+
+/* x <- y * z, assuming y and z are normalized, returns x normalized */
+DPE_INLINE void
+dpe_mul (dpe_t x, const dpe_t y, const dpe_t z)
+{
+ DPE_MANT(x) = DPE_MANT(y) * DPE_MANT(z);
+ DPE_EXP(x) = DPE_EXP(y) + DPE_EXP(z);
+ dpe_normalize (x);
+}
+
+/* x <- y * z, assuming y and z are normalized, returns x normalized */
+DPE_INLINE void
+dpe_mul_d (dpe_t x, const dpe_t y, const double z)
+{
+ dpe_t zt;
+ dpe_set_d (zt, z);
+ DPE_MANT(x) = DPE_MANT(y) * DPE_MANT(zt);
+ DPE_EXP(x) = DPE_EXP(y) + DPE_EXP(zt);
+ dpe_normalize (x);
+}
+
+/* x <- x + y * z, assuming y and z are normalized, returns x normalized */
+DPE_INLINE void
+dpe_addmul (dpe_t x, const dpe_t y, const dpe_t z)
+{
+ dpe_t yz;
+ dpe_mul (yz, y, z);
+ dpe_add (x, x, yz);
+}
+
+/* x <- x - y * z, assuming y and z are normalized, returns x normalized */
+DPE_INLINE void
+dpe_submul (dpe_t x, const dpe_t y, const dpe_t z)
+{
+ dpe_t yz;
+ dpe_mul (yz, y, z);
+ dpe_sub (x, x, yz);
+}
+
+/* x <- sqrt(y), assuming y is normalized, returns x normalized */
+DPE_INLINE void
+dpe_sqrt (dpe_t x, const dpe_t y)
+{
+ DPE_EXP_T ey = DPE_EXP(y);
+ if (ey % 2)
+ {
+ /* since 1/2 <= my < 1, 1/4 <= my/2 < 1 */
+ DPE_MANT(x) = sqrt (0.5 * DPE_MANT(y));
+ DPE_EXP(x) = (ey + 1) / 2;
+ }
+ else
+ {
+ DPE_MANT(x) = sqrt (DPE_MANT(y));
+ DPE_EXP(x) = ey / 2;
+ }
+}
+
+/* x <- y / z, assuming y and z are normalized, returns x normalized.
+ Assumes z is not zero. */
+DPE_INLINE void
+dpe_div (dpe_t x, const dpe_t y, const dpe_t z)
+{
+ DPE_MANT(x) = DPE_MANT(y) / DPE_MANT(z);
+ DPE_EXP(x) = DPE_EXP(y) - DPE_EXP(z);
+ dpe_normalize (x);
+}
+
+/* x <- y * z, assuming y normalized, returns x normalized */
+DPE_INLINE void
+dpe_mul_ui (dpe_t x, const dpe_t y, unsigned long z)
+{
+ DPE_MANT(x) = DPE_MANT(y) * (DPE_DOUBLE) z;
+ DPE_EXP(x) = DPE_EXP(y);
+ dpe_normalize (x);
+}
+
+/* x <- y / z, assuming y normalized, z non-zero, returns x normalized */
+DPE_INLINE void
+dpe_div_ui (dpe_t x, const dpe_t y, unsigned long z)
+{
+ DPE_MANT(x) = DPE_MANT(y) / (DPE_DOUBLE) z;
+ DPE_EXP(x) = DPE_EXP(y);
+ dpe_normalize (x);
+}
+
+/* x <- y * 2^e */
+DPE_INLINE void
+dpe_mul_2si (dpe_t x, const dpe_t y, long e)
+{
+ DPE_MANT(x) = DPE_MANT(y);
+ DPE_EXP(x) = DPE_EXP(y) + (DPE_EXP_T) e;
+}
+
+/* x <- y * 2^e */
+DPE_INLINE void
+dpe_mul_2exp (dpe_t x, const dpe_t y, unsigned long e)
+{
+ DPE_MANT(x) = DPE_MANT(y);
+ DPE_EXP(x) = DPE_EXP(y) + (DPE_EXP_T) e;
+}
+
+/* x <- y / 2^e */
+DPE_INLINE void
+dpe_div_2exp (dpe_t x, const dpe_t y, unsigned long e)
+{
+ DPE_MANT(x) = DPE_MANT(y);
+ DPE_EXP(x) = DPE_EXP(y) - (DPE_EXP_T) e;
+}
+
+/* return e and x such that y = x*2^e (equality is not guaranteed if the 'long'
+ type has fewer bits than the significand in dpe_t) */
+DPE_INLINE DPE_EXP_T
+dpe_get_si_exp (long *x, const dpe_t y)
+{
+ if (sizeof(long) == 4) /* 32-bit word: long has 31 bits */
+ {
+ *x = (long) (DPE_MANT(y) * 2147483648.0);
+ return DPE_EXP(y) - 31;
+ }
+ else if (sizeof(long) == 8) /* 64-bit word: long has 63 bits */
+ {
+ *x = (long) (DPE_MANT (y) * 9223372036854775808.0);
+ return DPE_EXP(y) - 63;
+ }
+ else
+ {
+ fprintf (stderr, "Error, neither 32-bit nor 64-bit word\n");
+ exit (1);
+ }
+}
+
+static DPE_UNUSED_ATTR int dpe_str_prec = 16;
+static int dpe_out_str (FILE *s, int base, const dpe_t x) DPE_UNUSED_ATTR;
+
+static int
+dpe_out_str (FILE *s, int base, const dpe_t x)
+{
+ DPE_DOUBLE d = DPE_MANT(x);
+ DPE_EXP_T e2 = DPE_EXP(x);
+ int e10 = 0;
+ char sign = ' ';
+ if (DPE_UNLIKELY (base != 10))
+ {
+ fprintf (stderr, "Error in dpe_out_str, only base 10 allowed\n");
+ exit (1);
+ }
+ if (d == 0.0)
+#ifdef DPE_USE_DOUBLE
+ return fprintf (s, "%1.*f", dpe_str_prec, d);
+#else
+ return fprintf (s, "foo\n %1.*Lf", dpe_str_prec, d);
+#endif
+ if (d < 0)
+ {
+ d = -d;
+ sign = '-';
+ }
+ if (e2 > 0)
+ {
+ while (e2 > 0)
+ {
+ e2 --;
+ d *= 2.0;
+ if (d >= 10.0)
+ {
+ d /= 10.0;
+ e10 ++;
+ }
+ }
+ }
+ else /* e2 <= 0 */
+ {
+ while (e2 < 0)
+ {
+ e2 ++;
+ d /= 2.0;
+ if (d < 1.0)
+ {
+ d *= 10.0;
+ e10 --;
+ }
+ }
+ }
+#ifdef DPE_USE_DOUBLE
+ return fprintf (s, "%c%1.*f*10^%d", sign, dpe_str_prec, d, e10);
+#else
+ return fprintf (s, "%c%1.*Lf*10^%d", sign, dpe_str_prec, d, e10);
+#endif
+}
+
+static size_t dpe_inp_str (dpe_t x, FILE *s, int base) DPE_UNUSED_ATTR;
+
+static size_t
+dpe_inp_str (dpe_t x, FILE *s, int base)
+{
+ size_t res;
+ DPE_DOUBLE d;
+ if (DPE_UNLIKELY (base != 10))
+ {
+ fprintf (stderr, "Error in dpe_out_str, only base 10 allowed\n");
+ exit (1);
+ }
+#ifdef DPE_USE_DOUBLE
+ res = fscanf (s, "%lf", &d);
+#else
+ res = fscanf (s, "%Lf", &d);
+#endif
+ dpe_set_d (x, d);
+ return res;
+}
+
+DPE_INLINE void
+dpe_dump (const dpe_t x)
+{
+ dpe_out_str (stdout, 10, x);
+ putchar ('\n');
+}
+
+DPE_INLINE int
+dpe_zero_p (const dpe_t x)
+{
+ return DPE_MANT (x) == 0;
+}
+
+/* return a positive value if x > y
+ a negative value if x < y
+ and 0 otherwise (x=y). */
+DPE_INLINE int
+dpe_cmp (const dpe_t x, const dpe_t y)
+{
+ int sx = DPE_SIGN(x);
+ int d = sx - DPE_SIGN(y);
+
+ if (d != 0)
+ return d;
+ else if (DPE_EXP(x) > DPE_EXP(y))
+ return (sx > 0) ? 1 : -1;
+ else if (DPE_EXP(y) > DPE_EXP(x))
+ return (sx > 0) ? -1 : 1;
+ else /* DPE_EXP(x) = DPE_EXP(y) */
+ return (DPE_MANT(x) < DPE_MANT(y)) ? -1 : (DPE_MANT(x) > DPE_MANT(y));
+}
+
+DPE_INLINE int
+dpe_cmp_d (const dpe_t x, double d)
+{
+ dpe_t y;
+ dpe_set_d (y, d);
+ return dpe_cmp (x, y);
+}
+
+DPE_INLINE int
+dpe_cmp_ui (const dpe_t x, unsigned long d)
+{
+ dpe_t y;
+ dpe_set_ui (y, d);
+ return dpe_cmp (x, y);
+}
+
+DPE_INLINE int
+dpe_cmp_si (const dpe_t x, long d)
+{
+ dpe_t y;
+ dpe_set_si (y, d);
+ return dpe_cmp (x, y);
+}
+
+/* set x to integer nearest to y */
+DPE_INLINE void
+dpe_round (dpe_t x, const dpe_t y)
+{
+ if (DPE_EXP(y) < 0) /* |y| < 1/2 */
+ dpe_set_ui (x, 0);
+ else if (DPE_EXP(y) >= DPE_BITSIZE) /* y is an integer */
+ dpe_set (x, y);
+ else
+ {
+ DPE_DOUBLE d;
+ d = DPE_LDEXP(DPE_MANT(y), DPE_EXP(y));
+ dpe_set_d (x, DPE_ROUND(d));
+ }
+}
+
+/* set x to integer nearest to y */
+DPE_INLINE void
+dpe_rint (dpe_t x, const dpe_t y)
+{
+ if (DPE_EXP(y) < 0) /* |y| < 1/2 */
+ dpe_set_ui (x, 0);
+ else if (DPE_EXP(y) >= DPE_BITSIZE) /* y is an integer */
+ dpe_set (x, y);
+ else
+ {
+ DPE_DOUBLE d;
+ d = DPE_LDEXP(DPE_MANT(y), DPE_EXP(y));
+ dpe_set_d (x, DPE_RINT(d));
+ }
+}
+
+/* set x to the fractional part of y, defined as y - trunc(y), thus the
+ fractional part has absolute value in [0, 1), and same sign as y */
+DPE_INLINE void
+dpe_frac (dpe_t x, const dpe_t y)
+{
+ /* If |y| is smaller than 1, keep it */
+ if (DPE_EXP(y) <= 0)
+ dpe_set (x, y);
+ else if (DPE_EXP(y) >= DPE_BITSIZE) /* y is an integer */
+ dpe_set_ui (x, 0);
+ else
+ {
+ DPE_DOUBLE d;
+ d = DPE_LDEXP(DPE_MANT(y), DPE_EXP(y));
+ dpe_set_d (x, d - DPE_TRUNC(d));
+ }
+}
+
+/* set x to largest integer <= y */
+DPE_INLINE void
+dpe_floor (dpe_t x, const dpe_t y)
+{
+ if (DPE_EXP(y) <= 0) /* |y| < 1 */
+ {
+ if (DPE_SIGN(y) >= 0) /* 0 <= y < 1 */
+ dpe_set_ui (x, 0);
+ else /* -1 < y < 0 */
+ dpe_set_si (x, -1);
+ }
+ else if (DPE_EXP(y) >= DPE_BITSIZE) /* y is an integer */
+ dpe_set (x, y);
+ else
+ {
+ DPE_DOUBLE d;
+ d = DPE_LDEXP(DPE_MANT(y), DPE_EXP(y));
+ dpe_set_d (x, DPE_FLOOR(d));
+ }
+}
+
+/* set x to smallest integer >= y */
+DPE_INLINE void
+dpe_ceil (dpe_t x, const dpe_t y)
+{
+ if (DPE_EXP(y) <= 0) /* |y| < 1 */
+ {
+ if (DPE_SIGN(y) > 0) /* 0 < y < 1 */
+ dpe_set_ui (x, 1);
+ else /* -1 < y <= 0 */
+ dpe_set_si (x, 0);
+ }
+ else if (DPE_EXP(y) >= DPE_BITSIZE) /* y is an integer */
+ dpe_set (x, y);
+ else
+ {
+ DPE_DOUBLE d;
+ d = DPE_LDEXP(DPE_MANT(y), DPE_EXP(y));
+ dpe_set_d (x, DPE_CEIL(d));
+ }
+}
+
+DPE_INLINE void
+dpe_swap (dpe_t x, dpe_t y)
+{
+ DPE_EXP_T i = DPE_EXP (x);
+ DPE_DOUBLE d = DPE_MANT (x);
+ DPE_EXP (x) = DPE_EXP (y);
+ DPE_MANT (x) = DPE_MANT (y);
+ DPE_EXP (y) = i;
+ DPE_MANT (y) = d;
+}
+
+/* Ugly hacks: No correct rounding guaranteed */
+
+DPE_INLINE void
+dpe_ugly_log (dpe_t x, const dpe_t y)
+{
+ dpe_set_d (x, ((double) DPE_EXP(y)) * M_LN2 + log (DPE_MANT(y)));
+}
+
+DPE_INLINE void
+dpe_ugly_exp (dpe_t x, const dpe_t y)
+{
+ //printf ("## exp is %ld\n", DPE_EXP(y));
+ dpe_set_d (x, exp(((double) DPE_MANT(y)) * pow(2, ((double)DPE_EXP(y)))));
+}
+
+
+/* More hacks */
+/* x = y^k */
+DPE_INLINE void
+dpe_pow_si (dpe_t x, const dpe_t y, const unsigned int k)
+{
+ DPE_MANT (x) = pow(DPE_MANT (y), k);
+ DPE_EXP (x) = DPE_EXP (y) * k;
+ dpe_normalize (x);
+}
+
+#ifdef __MPFR_H
+/* x = e^y */
+DPE_INLINE void
+dpe_exponential (dpe_t x, const dpe_t y)
+{
+ /* floor(log(DBL_MAX)) = 709 */
+ if (dpe_cmp_ui(y, 709) <= 0 && dpe_cmp_si(y, -709) >= 0)
+ dpe_ugly_exp (x, y);
+ else {
+ mpfr_t t, s;
+ mpfr_init (t);
+ mpfr_init (s);
+ mpfr_set_d (t, 2.0, GMP_RNDN);
+ mpfr_pow_si (t, t, DPE_EXP(y), GMP_RNDN);
+ mpfr_set_d (s, DPE_MANT(y), GMP_RNDN);
+ mpfr_mul (t, t, s, GMP_RNDN);
+ mpfr_exp (t, t, GMP_RNDN);
+ dpe_set_mpfr (x, t);
+ mpfr_clear (t);
+ mpfr_clear (s);
+ mpfr_free_cache();
+ }
+}
+#endif
+
+DPE_INLINE void
+dpe_log (dpe_t x, const dpe_t y)
+{
+ dpe_set_d (x, (double) DPE_EXP(y) * log(2.0) + log (DPE_MANT(y)));
+}
+
+
+
+#endif /* FPLLL_DPE_H */
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_MATRIX_CPP
+#define FPLLL_MATRIX_CPP
+
+#include "../defs.h"
+#include "matrix.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+template <class T> void Matrix<T>::resize(int rows, int cols)
+{
+ int old_size = matrix.size();
+ if (old_size < rows)
+ {
+ vector<NumVect<T>> m2(max(old_size * 2, rows));
+ for (int i = 0; i < old_size; i++)
+ {
+ matrix[i].swap(m2[i]);
+ }
+ matrix.swap(m2);
+ }
+ for (int i = r; i < rows; i++)
+ {
+ matrix[i].resize(cols);
+ }
+ if (cols != c)
+ {
+ for (int i = min(r, rows) - 1; i >= 0; i--)
+ {
+ matrix[i].resize(cols);
+ }
+ }
+ r = rows;
+ c = cols;
+ cols = c;
+}
+
+template <class T> template <class U> void Matrix<T>::fill(U value)
+{
+ for (int i = 0; i < r; i++)
+ {
+ for (int j = 0; j < c; j++)
+ {
+ matrix[i][j] = value;
+ }
+ }
+}
+
+template <class T> void Matrix<T>::rotate_gram_left(int first, int last, int n_valid_rows)
+{
+ FPLLL_DEBUG_CHECK(0 <= first && first <= last && last < n_valid_rows && n_valid_rows <= r);
+ matrix[first][first].swap(matrix[first][last]);
+ for (int i = first; i < last; i++)
+ {
+ matrix[i + 1][first].swap(matrix[first][i]);
+ }
+ for (int i = first; i < n_valid_rows; i++)
+ {
+ matrix[i].rotate_left(first, min(last, i)); // most expensive step
+ }
+ rotate_left(first, last);
+}
+
+template <class T> void Matrix<T>::rotate_gram_right(int first, int last, int n_valid_rows)
+{
+ FPLLL_DEBUG_CHECK(0 <= first && first <= last && last < n_valid_rows && n_valid_rows <= r);
+ rotate_right(first, last);
+ for (int i = first; i < n_valid_rows; i++)
+ {
+ matrix[i].rotate_right(first, min(last, i)); // most expensive step
+ }
+ for (int i = first; i < last; i++)
+ {
+ matrix[i + 1][first].swap(matrix[first][i]);
+ }
+ matrix[first][first].swap(matrix[first][last]);
+}
+
+template <class T> void Matrix<T>::transpose()
+{
+ extend_vect(matrix, c);
+ for (int i = 0; i < c; i++)
+ {
+ matrix[i].extend(r);
+ }
+ for (int i = 0; i < min(r, c); i++)
+ {
+ for (int j = i + 1; j < max(r, c); j++)
+ {
+ matrix[i][j].swap(matrix[j][i]);
+ }
+ if (c > r)
+ matrix[i].resize(r);
+ }
+ std::swap(r, c);
+}
+
+template <class T> T Matrix<T>::get_max()
+{
+ T m, a;
+ m = 0;
+ for (int i = 0; i < r; i++)
+ for (int j = 0; j < c; j++)
+ {
+ a.abs(matrix[i][j]);
+ m = max(m, a);
+ }
+ return m;
+}
+
+template <class T> long Matrix<T>::get_max_exp()
+{
+ long max_exp = 0;
+ for (int i = 0; i < r; i++)
+ for (int j = 0; j < c; j++)
+ max_exp = max(max_exp, matrix[i][j].exponent());
+ return max_exp;
+}
+
+template <class T> void Matrix<T>::print(ostream &os, int nrows, int ncols) const
+{
+ if (nrows < 0 || nrows > r)
+ nrows = r;
+ if (ncols < 0 || ncols > c)
+ ncols = c;
+ os << '[';
+ for (int i = 0; i < nrows; i++)
+ {
+ if (i > 0)
+ os << '\n';
+ os << '[';
+ for (int j = 0; j < ncols; j++)
+ {
+ if (j > 0)
+ os << ' ';
+ os << matrix[i][j];
+ }
+ if (print_mode == MAT_PRINT_REGULAR && ncols > 0)
+ os << ' ';
+ os << ']';
+ }
+ if (print_mode == MAT_PRINT_REGULAR && nrows > 0)
+ os << '\n';
+ os << ']';
+}
+
+template <class T> void Matrix<T>::read(istream &is)
+{
+ char ch;
+ matrix.clear();
+ if (!(is >> ch))
+ return;
+ if (ch != '[')
+ {
+ is.setstate(ios::failbit);
+ return;
+ }
+ while (is >> ch && ch != ']')
+ {
+ is.putback(ch);
+ matrix.resize(matrix.size() + 1);
+ if (!(is >> matrix.back()))
+ {
+ matrix.pop_back();
+ break;
+ }
+ }
+
+ r = matrix.size();
+ c = 0;
+ for (int i = 0; i < r; i++)
+ {
+ c = max(c, matrix[i].size());
+ }
+ for (int i = 0; i < r; i++)
+ {
+ int old_c = matrix[i].size();
+ if (old_c < c)
+ {
+ matrix[i].resize(c);
+ for (int j = old_c; j < c; j++)
+ {
+ matrix[i][j] = 0;
+ }
+ }
+ }
+}
+
+
+/* ZZ_mat */
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_intrel(int bits)
+{
+ if (c != r + 1)
+ {
+ FPLLL_ABORT("gen_intrel called on an ill-formed matrix");
+ return;
+ }
+ int i, j;
+ for (i = 0; i < r; i++)
+ {
+ matrix[i][0].randb(bits);
+ for (j = 1; j <= i; j++)
+ {
+ matrix[i][j] = 0;
+ }
+ matrix[i][i + 1] = 1;
+ for (j = i + 2; j < c; j++)
+ {
+ matrix[i][j] = 0;
+ }
+ }
+}
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_simdioph(int bits, int bits2)
+{
+ if (c != r)
+ {
+ FPLLL_ABORT("gen_simdioph called on an ill-formed matrix");
+ return;
+ }
+ int i, j;
+
+ matrix[0][0] = 1;
+ matrix[0][0].mul_2si(matrix[0][0], bits2);
+ for (i = 1; i < r; i++)
+ matrix[0][i].randb(bits);
+ for (i = 1; i < r; i++)
+ {
+ for (j = 1; j < i; j++)
+ matrix[j][i] = 0;
+ matrix[i][i] = 1;
+ matrix[i][i].mul_2si(matrix[i][i], bits);
+ for (j = i + 1; j < c; j++)
+ matrix[j][i] = 0;
+ }
+}
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_uniform(int bits)
+{
+ if (c != r)
+ {
+ FPLLL_ABORT("gen_uniform called on an ill-formed matrix");
+ return;
+ }
+ for (int i = 0; i < r; i++)
+ for (int j = 0; j < c; j++)
+ matrix[i][j].randb(bits);
+}
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_ntrulike(int bits)
+{
+ // [A00 A01]
+ // [A10 A11]
+
+ int i, j, k;
+ int d = r / 2;
+ if (c != r || c != 2 * d)
+ {
+ FPLLL_ABORT("gen_ntrulike called on an ill-formed matrix");
+ return;
+ }
+ Z_NR<ZT> *h = new Z_NR<ZT>[d];
+ Z_NR<ZT> q;
+
+ q.randb(bits);
+ if (q.sgn() == 0)
+ q = 1;
+ h[0] = 0;
+ for (i = 1; i < d; i++)
+ {
+ h[i].randm(q);
+ h[0].sub(h[0], h[i]);
+ if (h[0].sgn() < 0)
+ h[0].add(h[0], q);
+ // set h0 such that h(1) = 0 mod q.
+ }
+
+ // I in A00
+ for (i = 0; i < d; i++)
+ {
+ for (j = 0; j < i; j++)
+ matrix[i][j] = 0;
+ matrix[i][i] = 1;
+ for (j = i + 1; j < d; j++)
+ matrix[i][j] = 0;
+ }
+
+ // 0 in A10
+ for (i = d; i < r; i++)
+ {
+ for (j = 0; j < d; j++)
+ matrix[i][j] = 0;
+ }
+ // qI in A11
+ for (i = d; i < r; i++)
+ {
+ for (j = d; j < i; j++)
+ matrix[i][j] = 0;
+ matrix[i][i] = q;
+ for (j = i + 1; j < c; j++)
+ matrix[i][j] = 0;
+ }
+ // H in A01
+ for (i = 0; i < d; i++)
+ for (j = d; j < c; j++)
+ {
+ k = j - d - i;
+ while (k < 0)
+ {
+ k += d;
+ }
+ matrix[i][j] = h[k];
+ }
+
+ delete[] h;
+}
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_ntrulike_withq(int q)
+{
+ // Same as above, except q is specified by the user rather than chosen
+ // randomly with a prescribed bit-length.
+
+ int i, j, k;
+ int d = r / 2;
+ if (c != r || c != 2 * d)
+ {
+ FPLLL_ABORT("gen_ntrulike called on an ill-formed matrix");
+ return;
+ }
+ Z_NR<ZT> *h = new Z_NR<ZT>[d];
+ Z_NR<ZT> q2;
+
+ q2 = q;
+ h[0] = 0;
+ for (i = 1; i < d; i++)
+ {
+ h[i].randm(q2);
+ h[0].sub(h[0], h[i]);
+ if (h[0].sgn() < 0)
+ h[0].add(h[0], q2);
+ // set h0 such that h(1) = 0 mod q.
+ }
+
+ // I in A00
+ for (i = 0; i < d; i++)
+ {
+ for (j = 0; j < i; j++)
+ matrix[i][j] = 0;
+ matrix[i][i] = 1;
+ for (j = i + 1; j < d; j++)
+ matrix[i][j] = 0;
+ }
+
+ // 0 in A10
+ for (i = d; i < r; i++)
+ {
+ for (j = 0; j < d; j++)
+ matrix[i][j] = 0;
+ }
+ // qI in A11
+ for (i = d; i < r; i++)
+ {
+ for (j = d; j < i; j++)
+ matrix[i][j] = 0;
+ matrix[i][i] = q2;
+ for (j = i + 1; j < c; j++)
+ matrix[i][j] = 0;
+ }
+ // H in A01
+ for (i = 0; i < d; i++)
+ for (j = d; j < c; j++)
+ {
+ k = j - d - i;
+ while (k < 0)
+ {
+ k += d;
+ }
+ matrix[i][j] = h[k];
+ }
+
+ delete[] h;
+}
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_ntrulike2(int bits)
+{
+
+ int i, j, k;
+ int d = r / 2;
+ if (c != r || c != 2 * d)
+ {
+ FPLLL_ABORT("gen_ntrulike2 called on an ill-formed matrix");
+ return;
+ }
+ Z_NR<ZT> *h = new Z_NR<ZT>[d];
+ Z_NR<ZT> q;
+
+ q.randb(bits);
+ h[0] = 0;
+ for (i = 1; i < d; i++)
+ {
+ h[i].randm(q);
+ h[0].sub(h[0], h[i]);
+ if (h[0].sgn() < 0)
+ h[0].add(h[0], q);
+ // set h0 such that h(1) = 0 mod q.
+ }
+
+ for (i = 0; i < d; i++)
+ {
+ for (j = 0; j < c; j++)
+ matrix[i][j] = 0;
+ }
+
+ for (i = 0; i < d; i++)
+ matrix[i][i] = q;
+ for (i = d; i < r; i++)
+ for (j = d; j < c; j++)
+ matrix[i][j] = 0;
+ for (i = d; i < c; i++)
+ matrix[i][i] = 1;
+
+ for (i = d; i < r; i++)
+ {
+ for (j = 0; j < d; j++)
+ {
+ k = i - d - j;
+ while (k < 0)
+ {
+ k += d;
+ }
+ matrix[i][j] = h[k];
+ }
+ }
+
+ delete[] h;
+}
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_ntrulike2_withq(int q)
+{
+
+ int i, j, k;
+ int d = r / 2;
+ if (c != r || c != 2 * d)
+ {
+ FPLLL_ABORT("gen_ntrulike2 called on an ill-formed matrix");
+ return;
+ }
+ Z_NR<ZT> *h = new Z_NR<ZT>[d];
+ Z_NR<ZT> q2;
+
+ q2 = q;
+ h[0] = 0;
+ for (i = 1; i < d; i++)
+ {
+ h[i].randm(q2);
+ h[0].sub(h[0], h[i]);
+ if (h[0].sgn() < 0)
+ h[0].add(h[0], q2);
+ // set h0 such that h(1) = 0 mod q.
+ }
+
+ for (i = 0; i < d; i++)
+ {
+ for (j = 0; j < c; j++)
+ matrix[i][j] = 0;
+ }
+
+ for (i = 0; i < d; i++)
+ matrix[i][i] = q2;
+ for (i = d; i < r; i++)
+ for (j = d; j < c; j++)
+ matrix[i][j] = 0;
+ for (i = d; i < c; i++)
+ matrix[i][i] = 1;
+
+ for (i = d; i < r; i++)
+ {
+ for (j = 0; j < d; j++)
+ {
+ k = i - d - j;
+ while (k < 0)
+ {
+ k += d;
+ }
+ matrix[i][j] = h[k];
+ }
+ }
+
+ delete[] h;
+}
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_qary(int k, Z_NR<ZT> &q)
+{
+ int i, j;
+ int d = r;
+ if (c != r || k > r)
+ {
+ FPLLL_ABORT("gen_qary called on an ill-formed matrix");
+ return;
+ }
+
+ for (i = 0; i < d - k; i++)
+ for (j = 0; j < d - k; j++)
+ matrix[i][j] = 0;
+
+ for (i = 0; i < d - k; i++)
+ matrix[i][i] = 1;
+
+ for (i = 0; i < d - k; i++)
+ for (j = d - k; j < d; j++)
+ matrix[i][j].randm(q);
+
+ for (i = d - k; i < d; i++)
+ for (j = 0; j < d - k; j++)
+ matrix[i][j] = 0;
+
+ for (i = d - k; i < d; i++)
+ matrix[i][i] = q;
+}
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_trg(double alpha)
+{
+ int i, j, bits;
+ Z_NR<ZT> ztmp, ztmp2, zone, sign;
+
+ ztmp2 = 0;
+ zone = 1;
+
+ int d = r;
+ if (c != r)
+ {
+ FPLLL_ABORT("gen_trg called on an ill-formed matrix");
+ return;
+ }
+
+ for (i = 0; i < d; i++)
+ {
+ bits = (int)pow((double)(2 * d - i), alpha);
+ ztmp = 1;
+ ztmp.mul_2si(ztmp, bits);
+ ztmp.sub(ztmp, zone);
+ matrix[i][i].randm(ztmp);
+ matrix[i][i].add_ui(matrix[i][i], 2);
+ ztmp.div_2si(matrix[i][i], 1);
+ for (j = i + 1; j < d; j++)
+ {
+ matrix[j][i].randm(ztmp);
+ sign.randb(1);
+ if (sign == 1)
+ matrix[j][i].sub(ztmp2, matrix[j][i]);
+ matrix[i][j] = 0;
+ }
+ }
+}
+
+template <class ZT> inline void ZZ_mat<ZT>::gen_trg2(FP_NR<mpfr_t> *w)
+{
+ int i, j;
+ Z_NR<ZT> ztmp, ztmp2;
+
+ int d = r;
+ if (c != r)
+ {
+ FPLLL_ABORT("gen_trg2 called on an ill-formed matrix");
+ return;
+ }
+
+ for (i = 0; i < d; i++)
+ {
+ matrix[i][i].set_f(w[i]);
+ ztmp.div_2si(matrix[i][i], 1);
+ ztmp2 = 1;
+ ztmp.add(ztmp, ztmp2);
+ for (j = i + 1; j < d; j++)
+ {
+ ztmp2 = 0;
+ matrix[j][i].randm(ztmp);
+ if (rand() % 2 == 1)
+ matrix[j][i].sub(ztmp2, matrix[j][i]);
+ matrix[i][j] = 0;
+ }
+ }
+}
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_MATRIX_H
+#define FPLLL_MATRIX_H
+
+#include "fplll/nr/numvect.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+enum MatPrintMode
+{
+ MAT_PRINT_COMPACT = 0,
+ MAT_PRINT_REGULAR = 1
+};
+
+template <class T> class Matrix;
+
+/** MatrixRow stores a reference to a row of a Matrix. It supports a subset
+ of operations available on vectors. */
+template <class T> class MatrixRow
+{
+public:
+ /** Returns a reference to the i-th element of this row. */
+ T &operator[](int i) { return row[i]; }
+ /** Returns a const reference to the i-th element of this row on constant
+ objects. */
+ const T &operator[](int i) const { return row[i]; }
+ /** Returns the number of columns. */
+ int size() const { return row.size(); }
+ /** Prints this object on stream os. */
+ void print(ostream &os) const { os << row; }
+
+ bool is_zero(int from = 0) const { return row.is_zero(from); }
+ int size_nz() const { return row.size_nz(); }
+ void fill(long value) { row.fill(value); }
+ void add(const MatrixRow<T> &v) { row.add(v.row); }
+ void add(const MatrixRow<T> &v, int n) { row.add(v.row, n); }
+ void sub(const MatrixRow<T> &v) { row.sub(v.row); }
+ void sub(const MatrixRow<T> &v, int n) { row.sub(v.row, n); }
+ void addmul(const MatrixRow<T> &v, T x) { row.addmul(v.row, x); }
+ void addmul(const MatrixRow<T> &v, T x, int n) { row.addmul(v.row, x, n); }
+ void addmul_2exp(const MatrixRow<T> &v, const T &x, long expo, T &tmp)
+ {
+ row.addmul_2exp(v.row, x, expo, tmp);
+ }
+ void addmul_2exp(const MatrixRow<T> &v, const T &x, long expo, int /*n*/, T &tmp)
+ {
+ row.addmul_2exp(v.row, x, expo, tmp);
+ }
+ void addmul_si(const MatrixRow<T> &v, long x) { row.addmul_si(v.row, x); }
+ void addmul_si(const MatrixRow<T> &v, long x, int n) { row.addmul_si(v.row, x, n); }
+ void addmul_si_2exp(const MatrixRow<T> &v, long x, long expo, T &tmp)
+ {
+ row.addmul_si_2exp(v.row, x, expo, tmp);
+ }
+ void addmul_si_2exp(const MatrixRow<T> &v, long x, long expo, int n, T &tmp)
+ {
+ row.addmul_si_2exp(v.row, x, expo, n, tmp);
+ }
+
+ friend class Matrix<T>;
+
+private:
+ MatrixRow(const NumVect<T> &row) : row(const_cast<NumVect<T> &>(row)) {}
+ NumVect<T> &row;
+};
+
+template <class T>
+void dot_product(T &result, const MatrixRow<T> &v1, const MatrixRow<T> &v2, int n)
+{
+ FPLLL_DEBUG_CHECK(n > 0 && n <= v1.size() && v1.size() == v2.size() &&
+ (v1.is_zero(n) || v2.is_zero(n)));
+ result.mul(v1[0], v2[0]);
+ for (int i = 1; i < n; i++)
+ {
+ result.addmul(v1[i], v2[i]);
+ }
+}
+
+template <class T>
+inline void dot_product(T &result, const MatrixRow<T> &v1, const MatrixRow<T> &v2)
+{
+ dot_product(result, v1, v2, v1.size());
+}
+
+/** Prints a MatrixRow on stream os. */
+template <class T> ostream &operator<<(ostream &os, const MatrixRow<T> &row)
+{
+ row.print(os);
+ return os;
+}
+
+/** Matrix is a two-dimensional container. Read and write operations on single
+ elements are in constant time. The amortized complexity of resizing the
+ matrix is proportional to the number of added/removed elements. All indices
+ are 0-based. */
+template <class T> class Matrix
+{
+public:
+ /** Creates an empty matrix (0 x 0). */
+ Matrix() : r(0), c(0) {}
+ /** Creates a matrix of dimensions rows x cols. All elements are
+ initialized with the default constructor of T. */
+ Matrix(int rows, int cols) : r(0), c(0) { resize(rows, cols); }
+
+ /** Sets number of rows and the number of columns to 0. */
+ void clear()
+ {
+ r = c = 0;
+ matrix.clear();
+ }
+ /** Returns true if the matrix has 0 rows, false otherwise. */
+ bool empty() const { return r == 0; }
+ /** Sets the dimensions of this matrix, preserving as much as possible of the
+ content. The value of new elements is undefined. */
+ void resize(int rows, int cols);
+ /** Sets the number of rows. Content is not erased except for deleted rows.
+ The value of new elements is undefined. */
+ void set_rows(int rows) { resize(rows, c); }
+ /** Sets the number of columns. Content is not erased except for deleted
+ columns. The value of new elements is undefined. */
+ void set_cols(int cols) { resize(r, cols); }
+ /** Fills this matrix with a given value. */
+ template <class U> void fill(U value);
+ /** Efficiently swaps two matrices. */
+ void swap(Matrix<T> &m)
+ {
+ matrix.swap(m.matrix);
+ std::swap(r, m.r);
+ std::swap(c, m.c);
+ }
+
+ /** Returns the number of rows */
+ int get_rows() const { return r; }
+ /** Returns the number of columns */
+ int get_cols() const { return c; }
+ /** Returns a reference to the element (i, j). */
+ T &operator()(int i, int j)
+ {
+ FPLLL_DEBUG_CHECK(i >= 0 && i < r && j >= 0 && j < c);
+ return matrix[i][j];
+ }
+ /** Returns a constant reference to the element (i, j) on constant objects. */
+ const T &operator()(int i, int j) const
+ {
+ FPLLL_DEBUG_CHECK(i >= 0 && i < r && j >= 0 && j < c);
+ return matrix[i][j];
+ }
+ /** Returns a MatrixRow object pointing to the i-th row of this matrix. */
+ MatrixRow<T> operator[](int i)
+ {
+ FPLLL_DEBUG_CHECK(i >= 0 && i < r);
+ return MatrixRow<T>(matrix[i]);
+ }
+ /** Returns a MatrixRow object pointing to the i-th row of this matrix
+ on constant objects. */
+ const MatrixRow<T> operator[](int i) const
+ {
+ FPLLL_DEBUG_CHECK(i >= 0 && i < r);
+ return MatrixRow<T>(matrix[i]);
+ }
+ /** Rows swap. */
+ void swap_rows(int r1, int r2) { matrix[r1].swap(matrix[r2]); }
+ /** Rows permutation.
+ (m[first],...,m[last]) becomes (m[first+1],...,m[last],m[first]) */
+ void rotate_left(int first, int last) { rotate_left_by_swap(matrix, first, last); }
+ /** Rows permutation.
+ (m[first],...,m[last]) becomes (m[last],m[first],...,m[last-1]) */
+ void rotate_right(int first, int last) { rotate_right_by_swap(matrix, first, last); }
+ /** Rows permutation.
+ (m[first],...,m[middle-1],m[middle],m[last]) becomes
+ (m[middle],...,m[last],m[first],...,m[middle-1]) */
+ void rotate(int first, int middle, int last) { rotate_by_swap(matrix, first, middle, last); }
+ /** Transformation needed to update the lower triangular Gram matrix when
+ rotate_left(first, last) is done on the basis of the lattice. */
+ void rotate_gram_left(int first, int last, int n_valid_rows);
+ /** Transformation needed to update the lower triangular Gram matrix when
+ rotate_right(first, last) is done on the basis of the lattice. */
+ void rotate_gram_right(int first, int last, int n_valid_rows);
+ /** Transpose. */
+ void transpose();
+ T get_max();
+ long get_max_exp();
+ /** Prints this matrix. No end-of-line is printed after the last line.
+ @param os output stream
+ @param nrows maximum number of rows to display (optional)
+ @param ncols maximum number of columns to display (optional) */
+ void print(ostream &os, int nrows = -1, int ncols = -1) const;
+ /** Reads this matrix from a stream. */
+ void read(istream &is);
+
+ static int set_print_mode(int new_print_mode)
+ {
+ int old_mode = print_mode;
+ print_mode = new_print_mode;
+ return old_mode;
+ }
+
+protected:
+ int r, c;
+ vector<NumVect<T>> matrix;
+
+ static int print_mode;
+};
+
+template <class T> int Matrix<T>::print_mode = MAT_PRINT_COMPACT;
+
+template <class T> ostream &operator<<(ostream &os, const Matrix<T> &m)
+{
+ m.print(os);
+ return os;
+}
+
+template <class T> istream &operator>>(istream &is, Matrix<T> &m)
+{
+ m.read(is);
+ return is;
+}
+
+/** ZZ_mat is a matrix of integers. */
+template <class ZT> class ZZ_mat : public Matrix<Z_NR<ZT>>
+{
+public:
+ typedef Z_NR<ZT> T;
+ using Matrix<T>::r;
+ using Matrix<T>::c;
+ using Matrix<T>::matrix;
+ using Matrix<T>::resize;
+ using Matrix<T>::get_cols;
+ using Matrix<T>::get_rows;
+
+ /** Creates an empty matrix (0 x 0). */
+ ZZ_mat() : Matrix<T>() {}
+ /** Creates a matrix of dimensions rows x cols. All elements are
+ initialized with the default constructor of Z_NR<T>. */
+ ZZ_mat(int rows, int cols) : Matrix<T>(rows, cols) {}
+
+ // generators
+ void gen_zero(int d, int n)
+ {
+ resize(d, n);
+ for (int i = 0; i < d; i++)
+ matrix[i].fill(0);
+ }
+
+ void gen_identity(int d)
+ {
+ gen_zero(d, d);
+ for (int i = 0; i < d; i++)
+ matrix[i][i] = 1;
+ }
+
+ void gen_intrel(int bits);
+ void gen_simdioph(int bits, int bits2);
+ void gen_uniform(int bits);
+
+ /** Construct a matrix `[[I,H],[0,qI]]` where `H` is constructed from rotations of a vector ``h``.
+
+ @note The constructed matrix will not come with a guarantee of unusually short vectors.
+ **/
+
+ void gen_ntrulike(int bits);
+ void gen_ntrulike_withq(int q);
+
+ /** Construct a matrix ``[[qI,0],[H,I]]`` where ``H`` is constructed from rotations of a vector
+ ``h``.
+
+ @note The constructed matrix will not come with a guarantee of unusually short vectors.
+ */
+
+ void gen_ntrulike2(int bits);
+ void gen_ntrulike2_withq(int q);
+
+ /** Construct a matrix ``[[I,H],[0,Iq]]`` where ``H`` is uniform mod q, of dimensions (n-k) x k.
+ */
+
+ void gen_qary(int k, Z_NR<ZT> &q);
+
+ void gen_qary(int k, int bits)
+ {
+ Z_NR<ZT> q;
+ q.randb(bits);
+ gen_qary(k, q);
+ }
+
+ void gen_qary_withq(int k, int q)
+ {
+ Z_NR<ZT> q2;
+ q2 = q;
+ gen_qary(k, q2);
+ }
+
+ void gen_qary_prime(int k, int bits)
+ {
+ Z_NR<ZT> q;
+ q.randb(bits);
+ q.nextprime(q);
+ gen_qary(k, q);
+ }
+
+ /** Construct a lower triangular matrices with specified diagonal coefficients
+and random sub-diagonal coefficients.
+ */
+
+ void gen_trg(double alpha);
+ void gen_trg2(FP_NR<mpfr_t> *w);
+};
+
+/** FP_mat is a matrix of floating-point numbers. */
+template <class FT> class FP_mat : public Matrix<FP_NR<FT>>
+{
+public:
+ typedef FP_NR<FT> T;
+ /** Creates an empty matrix (0 x 0). */
+ FP_mat() : Matrix<T>() {}
+ /** Creates a matrix of dimensions rows x cols. All elements are
+ initialized with the default constructor of FP_NR<T>. */
+ FP_mat(int rows, int cols) : Matrix<T>(rows, cols) {}
+};
+
+typedef ZZ_mat<IntegerT> IntMatrix;
+typedef FP_mat<FloatT> FloatMatrix;
+
+FPLLL_END_NAMESPACE
+
+#include "fplll/nr/matrix.cpp"
+
+#endif
--- /dev/null
+#ifndef FPLLL_NR_H
+#define FPLLL_NR_H
+
+/**
+ * loading definitions
+ */
+#include <iostream>
+#include "../defs.h"
+
+#include "fplll/nr/nr_rand.inl"
+
+#include "fplll/nr/nr_Z.inl"
+#include "fplll/nr/nr_Z_l.inl"
+#include "fplll/nr/nr_Z_d.inl"
+#include "fplll/nr/nr_Z_mpz.inl"
+
+#include "fplll/nr/nr_FP.inl"
+#include "fplll/nr/nr_FP_d.inl"
+#include "fplll/nr/nr_FP_ld.inl"
+
+#ifdef FPLLL_WITH_DPE
+#include "fplll/nr/nr_FP_dpe.inl"
+#endif
+
+#ifdef FPLLL_WITH_QD
+#include "fplll/nr/nr_FP_dd.inl"
+#include "fplll/nr/nr_FP_qd.inl"
+#endif
+
+#include "fplll/nr/nr_FP_mpfr.inl"
+
+#include "fplll/nr/nr_Z_misc.inl"
+#include "fplll/nr/nr_FP_misc.inl"
+
+FPLLL_BEGIN_NAMESPACE
+
+
+/**
+ * Some defaults.
+ */
+
+/* Default floating-point type */
+typedef mpfr_t FloatT;
+typedef FP_NR<FloatT> Float;
+
+/* Default integer type */
+typedef mpz_t IntegerT;
+typedef Z_NR<IntegerT> Integer;
+
+/* Floating-point type inside the SVP/CVP solver */
+typedef double enumf;
+typedef double enumxt;
+//typedef int enumxt;
+
+/**
+ * return type
+ */
+template<class T> inline const char* num_type_str() {return "";}
+#ifdef FPLLL_WITH_ZLONG
+template<> inline const char* num_type_str<long>() {return "long";}
+#endif
+template<> inline const char* num_type_str<double>() {return "double";}
+template<> inline const char* num_type_str<mpz_t>() {return "mpz_t";}
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<> inline const char* num_type_str<long double>() {return "long double";}
+#endif
+#ifdef FPLLL_WITH_DPE
+template<> inline const char* num_type_str<dpe_t>() {return "dpe_t";}
+#endif
+#ifdef FPLLL_WITH_QD
+template<> inline const char* num_type_str<dd_real>() {return "dd_real";}
+template<> inline const char* num_type_str<qd_real>() {return "qd_real";}
+#endif
+template<> inline const char* num_type_str<mpfr_t>() {return "mpfr_t";}
+
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/*********************
+ * Float Class
+ *********************/
+
+#include "../defs.h"
+
+#ifndef FPLLL_NR_FP_H
+#define FPLLL_NR_FP_H
+
+FPLLL_BEGIN_NAMESPACE
+
+/* declaration Z_NR */
+template <class F> class Z_NR;
+
+/**
+ * FP_NR stores floating-point numbers. This template provides a uniform
+ * interface for doing floating-point computations with several underlying
+ * types (double, dpe_t and mpfr_t). For all functions, the rounding
+ * mode rnd is ignored unless F=mpfr_t.
+ */
+template <class F> class FP_NR
+{
+
+ F data;
+
+public:
+ /**
+ * Constructors.
+ */
+ inline FP_NR<F>();
+ inline FP_NR<F>(const FP_NR<F> &f);
+ inline ~FP_NR<F>();
+ inline FP_NR<F>(const double d) : FP_NR<F>() {*this = d;};
+ inline FP_NR<F>(const char *s) : FP_NR<F>() {*this = s;};
+
+ /**
+ * Returns the current precision for new FP_NR<F> objects.
+ */
+ static inline unsigned int get_prec();
+
+ /**
+ * Sets the precision of new FP_NR<F> objects. Returns the
+ # previous value. This has no effect is F != mpfr_t.
+ */
+ static inline unsigned int set_prec(unsigned int prec);
+
+ /** get data */
+
+ /**
+ * Returns the internal representation of the data.
+ */
+ inline F &get_data() { return data; }
+
+ /**
+ * Returns the internal representation of the data.
+ */
+ inline const F &get_data() const { return data; }
+
+ /**
+ * Converts this object to a double. If it does not fit in a double,
+ * the result is undefined.
+ */
+ inline double get_d(mp_rnd_t rnd = GMP_RNDN) const;
+
+ /**
+ * Convert this object to a mpfr_t r.
+ */
+ inline void get_mpfr(mpfr_t r, mp_rnd_t rnd = GMP_RNDN) const;
+
+ /**
+ * Convert this object from a mpfr_t r.
+ */
+ inline void set_mpfr(mpfr_t r, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * Converts this object to a long. The rounding direction is undefined.
+ * If it does not fit in a long, the result is undefined.
+ */
+ inline long get_si() const;
+
+ /**
+ * Returns expo such value 2^(expo-1) <= value < 2^expo
+ * (expo = floor(abs(log2(abs(value)))) + 1).
+ * The return value is undefined if *this == 0.
+ */
+ inline long exponent() const;
+
+ /**
+ * Returns x and defines expo such that
+ * trunc(value * 2^expo_add) ~= x * 2^expo
+ * The '~=' is an equality if trunc(value * 2^expo_add) <= LONG_MAX.
+ * expo is the minimum non-negative value such that x <= LONG_MAX.
+ * expo_add must be 0 if T=dpe_t or T=mpfr_t.
+ */
+ inline long get_si_exp_we(long &expo, long expo_add) const;
+
+ /**
+ * Returns x and defines expo such that trunc(value) ~= x * 2^expo.
+ * The '~=' is an equality if trunc(value) <= LONG_MAX.
+ * expo is the minimum non-negative value such that |x| <= LONG_MAX.
+ * (x is the largest among all possible |x| <= LONG_MAX).
+ */
+ inline long get_si_exp(long &expo) const;
+
+ /**
+ * Computes a and expo such that trunc(value) ~= a * 2^expo.
+ * The '~=' is an equality if Z=mpz_t. expo is always non-negative.
+ * Note that expo might be very close to LONG_MAX when value = 0.
+ * (in nr_FP_misc.h)
+ */
+ template <class Z> inline void get_z_exp(Z_NR<Z> &a, long &expo) const;
+
+ /**
+ * Computes a and expo such that trunc(value) * 2^expo_add ~= a * 2^expo.
+ * The '~=' is an equality if Z=mpz_t. expo is always non-negative.
+ * expo_add must be 0 if T=dpe_t or T=mpfr_t.
+ * (in nr_FP_misc.h)
+ */
+ template <class Z> inline void get_z_exp_we(Z_NR<Z> &a, long &expo, long expo_add) const;
+
+ /** set data */
+
+ /**
+ * Sets the value to z.
+ * (in nr_FP_misc.h)
+ */
+ template <class Z> inline void set_z(const Z_NR<Z> &z, mp_rnd_t rnd = GMP_RNDN);
+
+ /** comparison */
+
+ /**
+ * 3-way comparison. Returns a positive number if *this > b,
+ * a negative number if *this < b or zero is *this == b.
+ */
+ inline int cmp(const FP_NR<F> &b) const;
+
+ /**
+ * 3-way comparison. Returns a positive number if *this > d,
+ * a negative number if *this < d or zero is *this == d.
+ */
+ inline int cmp(double d) const;
+
+ /**
+ * Sign. Returns a positive number, a negative number or zero if the
+ * value of this object is respectively positive, negative or null.
+ */
+ inline int sgn() const;
+
+ /**
+ * Operator
+ */
+ inline void operator=(const FP_NR<F> &a);
+ inline void operator=(const char *s);
+ inline void operator=(double a);
+ // inline void operator=(mpfr_t& a);
+ inline void operator=(mpfr_t &a) { set_mpfr(a, MPFR_RNDN); };
+ inline bool operator<(const FP_NR<F> &a) const;
+ inline bool operator<(double a) const;
+ inline bool operator>(const FP_NR<F> &a) const;
+ inline bool operator>(double a) const;
+ inline bool operator<=(const FP_NR<F> &a) const;
+ inline bool operator<=(double a) const;
+ inline bool operator>=(const FP_NR<F> &a) const;
+ inline bool operator>=(double a) const;
+
+ inline FP_NR<F> &operator+=(const FP_NR<F> &a) { this->add(*this, a); return *this;};
+ inline FP_NR<F> &operator-=(const FP_NR<F> &a) { this->sub(*this, a); return *this;};
+ inline FP_NR<F> &operator*=(const FP_NR<F> &a) { this->mul(*this, a); return *this;};
+ inline FP_NR<F> &operator/=(const FP_NR<F> &a) { this->div(*this, a); return *this;};
+
+ inline FP_NR<F> &operator+=(const double a) { FP_NR<F> t=a; this->add(*this, t); return *this;};
+ inline FP_NR<F> &operator-=(const double a) { FP_NR<F> t=a; this->sub(*this, t); return *this;};
+ inline FP_NR<F> &operator*=(const double a) { this->mul_d(*this, a); return *this;};
+ inline FP_NR<F> &operator/=(const double a) { this->div(*this, FP_NR<F>(a)); return *this;};
+
+
+ /**
+ * max between a and b
+ */
+ inline FP_NR &max_f(FP_NR<F> &b)
+ {
+ if ((*this) <= b)
+ return b;
+ else
+ return (*this);
+ }
+
+ /**
+ * Returns non-zero if the current value is zero, 0 otherwise.
+ */
+ inline bool is_zero() const;
+ inline int zero_p() const { return is_zero(); }
+
+ /**
+ * Returns non-zero if the current value is NaN, 0 otherwise.
+ */
+ inline int is_nan() const;
+
+ /**
+ * Returns non-zero if !isnan(value) and !isinf(value), 0 otherwise.
+ */
+ inline int is_finite() const;
+
+ /** arithmetic */
+
+ /**
+ * value := a + b.
+ */
+ inline void add(const FP_NR<F> &a, const FP_NR<F> &b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := a - b.
+ */
+ inline void sub(const FP_NR<F> &a, const FP_NR<F> &b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := a * b.
+ */
+ inline void mul(const FP_NR<F> &a, const FP_NR<F> &b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := a * b where b is double.
+ */
+ inline void mul_d(const FP_NR<F> &a, const double b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := a * b where b is mpfr_t.
+ */
+ inline void mul_mpfr(const FP_NR<mpfr_t> &a, const mpfr_t b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := a * 2^b.
+ */
+ inline void mul_2si(const FP_NR<F> &a, long b);
+
+ /**
+ * value := a / b.
+ */
+ inline void div(const FP_NR<F> &a, const FP_NR<F> &b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := a / b.
+ */
+ inline void div_d(const FP_NR<F> &a, const double b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := value + a * b.
+ */
+ inline void addmul(const FP_NR<F> &a, const FP_NR<F> &b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := value - a * b.
+ */
+ inline void submul(const FP_NR<F> &a, const FP_NR<F> &b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := a^b.
+ */
+ inline void pow_si(const FP_NR<F> &a, long b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := e^b.
+ */
+ inline void exponential(const FP_NR<F> &b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := natural logarithm of a.
+ */
+ inline void log(const FP_NR<F> &a, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := square root of b.
+ */
+ inline void sqrt(const FP_NR<F> &b, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := k-th root of b.
+ */
+ inline void root(const FP_NR<F> &b, unsigned int k, mp_rnd_t rnd = GMP_RNDN);
+
+ /**
+ * value := -b.
+ */
+ inline void neg(const FP_NR<F> &b);
+
+ /**
+ * value := absolute value of b.
+ */
+ inline void abs(const FP_NR<F> &b);
+
+ /**
+ * value := rounding of b to the nearest integer.
+ */
+ inline void rnd(const FP_NR<F> &b);
+
+ /**
+ * value <- (rounding of a * 2^expo_add) / 2^expo_add, but never overflows.
+ * expo_add must be 0 if T=dpe_t or T=mpfr_t.
+ */
+ inline void rnd_we(const FP_NR<F> &b, long expo_add);
+
+ /**
+ * value := largest integer not greater than b.
+ */
+ inline void floor(const FP_NR<F> &b);
+
+ /**
+ * value := NaN.
+ */
+ inline void set_nan();
+
+ /**
+ * Efficiently swaps the values of two FP_NR.
+ */
+ inline void swap(FP_NR<F> &a);
+
+}; // End class FP_NR
+
+template <class F> inline FP_NR<F> operator+(const FP_NR<F> &a, const FP_NR<F> &b)
+{
+ FP_NR<F> r;
+ r.add(a, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F>&& operator+(FP_NR<F> &&a, const FP_NR<F> &b)
+{
+ a.add(a, b);
+ return std::move(a);
+}
+
+
+template <class F> inline FP_NR<F> operator+(const FP_NR<F> &a, double b)
+{
+ FP_NR<F> r;
+ r = b;
+ r.add(r, a);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator+(double a, const FP_NR<F> &b)
+{
+ FP_NR<F> r;
+ r = a;
+ r.add(r, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator+(const FP_NR<F> &a, long b)
+{
+ FP_NR<F> r;
+ r = b;
+ r.add(a, r);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator+(long a, const FP_NR<F> &b)
+{
+ FP_NR<F> r;
+ r = a;
+ r.add(r, b);
+ return r;
+}
+
+
+template <class F> inline FP_NR<F> operator-(const FP_NR<F> &a, const FP_NR<F> &b)
+{
+ FP_NR<F> r;
+ r.sub(a, b);
+ return r;
+}
+
+
+template <class F> inline FP_NR<F> operator-(const FP_NR<F> &a, double b)
+{
+ FP_NR<F> r;
+ r = b;
+ r.sub(a, r);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator-(double a, const FP_NR<F> &b)
+{
+ FP_NR<F> r;
+ r = a;
+ r.sub(r, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator-(const FP_NR<F> &a, long b)
+{
+ FP_NR<F> r;
+ r = b;
+ r.sub(a, r);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator-(long a, const FP_NR<F> &b)
+{
+ FP_NR<F> r;
+ r = a;
+ r.sub(r, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator*(const FP_NR<F> &a, const FP_NR<F> &b)
+{
+ FP_NR<F> r;
+ r.mul(a, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F>&& operator*(FP_NR<F> &&a, const FP_NR<F> &b) {
+ a.mul(a, b);
+ return std::move(a);
+}
+
+template <class F> inline FP_NR<F> operator*(const FP_NR<F> &a, double b)
+{
+ FP_NR<F> r;
+ r.mul_d(a, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator*(const FP_NR<F> &a, long b)
+{
+ FP_NR<F> r;
+ r = b;
+ r.mul(r, a);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator*(double a, const FP_NR<F> &b)
+{
+ FP_NR<F> r;
+ r.mul_d(b, a);
+ return r;
+}
+
+
+template <class F> inline FP_NR<F>&& operator*(FP_NR<F> &&a, double b) {
+ a.mul_d(a, b);
+ return std::move(a);
+}
+
+template <class F> inline FP_NR<F> operator/(const FP_NR<F> &a, const FP_NR<F> &b) {
+ FP_NR<F> r;
+ r.div(a, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator/(const FP_NR<F> &a, const double b) {
+ FP_NR<F> r;
+ r.div(a, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F> operator/(const double a, const FP_NR<F> &b) {
+ FP_NR<F> r;
+ r.div(a, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F> sqrt(const FP_NR<F> &a) {
+ FP_NR<F> r;
+ r.sqrt(a);
+ return r;
+}
+
+template <class F> inline FP_NR<F>&& sqrt(FP_NR<F> &&a) {
+ a.sqrt(a);
+ return std::move(a);
+}
+
+template <class F> inline FP_NR<F> abs(const FP_NR<F> &a) {
+ FP_NR<F> r;
+ r.abs(a);
+ return r;
+}
+
+template <class F> inline FP_NR<F>&& abs(FP_NR<F> &&a) {
+ a.abs(a);
+ return std::move(a);
+}
+
+
+template <class F> inline FP_NR<F> floor(const FP_NR<F> &a) {
+ FP_NR<F> r;
+ r.floor(a);
+ return r;
+}
+
+template <class F> inline FP_NR<F>&& floor(FP_NR<F> &&a) {
+ a.floor(a);
+ return std::move(a);
+}
+
+
+template <class F> inline FP_NR<F> log(const FP_NR<F> &a) {
+ FP_NR<F> r;
+ r.log(a);
+ return r;
+}
+
+template <class F> inline FP_NR<F>&& log(FP_NR<F> &&a) {
+ a.log(a);
+ return std::move(a);
+}
+
+template <class F> inline FP_NR<F> exp(const FP_NR<F> &a) {
+ FP_NR<F> r;
+ r.exponential(a);
+ return r;
+}
+
+template <class F> inline FP_NR<F>&& exp(FP_NR<F> &&a) {
+ a.exponential(a);
+ return std::move(a);
+}
+
+template <class F> inline FP_NR<F> pow_si(const FP_NR<F> &a, long b) {
+ FP_NR<F> r;
+ r.pow_si(a, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F> &&pow_si(FP_NR<F> &&a, long b) {
+ a.pow_si(a, b);
+ return std::move(a);
+}
+
+template <class F> inline FP_NR<F> root(const FP_NR<F> &a, unsigned int b) {
+ FP_NR<F> r;
+ r.root(a, b);
+ return r;
+}
+
+template <class F> inline FP_NR<F> &&root(FP_NR<F> &&a, unsigned int b) {
+ a.root(a, b);
+ return std::move(a);
+}
+
+
+/**
+ * FP_NR: some generic functions.
+ */
+template <class F> inline void FP_NR<F>::addmul(const FP_NR<F> &b, const FP_NR<F> &c, mp_rnd_t rnd)
+{
+ FP_NR<F> product;
+ product.mul(b, c, rnd);
+ add(*this, product, rnd);
+}
+template <class F> inline void FP_NR<F>::submul(const FP_NR<F> &b, const FP_NR<F> &c, mp_rnd_t rnd)
+{
+ FP_NR<F> product;
+ product.mul(b, c, rnd);
+ sub(*this, product, rnd);
+}
+template <class F> inline bool FP_NR<F>::operator<(const FP_NR<F> &a) const { return cmp(a) < 0; }
+template <class F> inline bool FP_NR<F>::operator>(const FP_NR<F> &a) const { return cmp(a) > 0; }
+template <class F> inline bool FP_NR<F>::operator<(double a) const { return cmp(a) < 0; }
+template <class F> inline bool FP_NR<F>::operator>(double a) const { return cmp(a) > 0; }
+
+/** overloading stream operators */
+
+/**
+ * Prints x on stream os.
+ */
+template <class T> ostream &operator<<(ostream &os, const FP_NR<T> &x) { return os << x.get_data(); }
+
+#ifdef FPLLL_WITH_DPE
+template <> ostream &operator<<(ostream &os, const FP_NR<dpe_t> &x);
+#endif
+
+template <> ostream &operator<<(ostream &os, const FP_NR<mpfr_t> &x);
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/****************************
+ * F=double specialization
+ ****************************/
+
+#ifndef FPLLL_NR_FP_D_H
+#define FPLLL_NR_FP_D_H
+
+#include "../defs.h"
+#include "nr_FP.inl"
+
+FPLLL_BEGIN_NAMESPACE
+
+
+/* Double specialization */
+
+
+/* constructor */
+template<>
+inline FP_NR<double>::FP_NR() {}
+
+template<>
+inline FP_NR<double>::FP_NR(const FP_NR<double>& f) {data = f.data;}
+
+template<>
+inline FP_NR<double>::~FP_NR() {}
+
+template<>
+inline unsigned int FP_NR<double>::get_prec() {return PREC_DOUBLE;}
+
+template<>
+inline unsigned int FP_NR<double>::set_prec(unsigned int) {
+ return get_prec(); // ignored
+}
+
+/* return data */
+template<>
+inline double FP_NR<double>::get_d(mp_rnd_t) const {
+ return static_cast<double>(data);
+}
+
+template<>
+inline void FP_NR<double>::get_mpfr(mpfr_t r, mp_rnd_t rnd) const {
+ mpfr_set_d (r, data, rnd);
+}
+
+template<>
+inline void FP_NR<double>::set_mpfr(mpfr_t r, mp_rnd_t rnd) {
+ data = mpfr_get_d (r, rnd);
+}
+
+template<>
+inline long FP_NR<double>::get_si() const {
+ return static_cast<long>(data);
+}
+
+template<>
+inline long FP_NR<double>::exponent() const {
+ return ilogb(data) + 1;
+}
+
+template<>
+inline long FP_NR<double>::get_si_exp_we(long& expo, long expo_add) const {
+ if (data == 0)
+ expo = 0;
+ else
+ expo = max(exponent() + expo_add - numeric_limits<long>::digits, 0L);
+ return static_cast<long>(ldexp(data, expo_add - expo));
+}
+
+template<>
+inline long FP_NR<double>::get_si_exp(long& expo) const {
+ return get_si_exp_we(expo, 0);
+}
+
+/* comparison */
+template<>
+inline int FP_NR<double>::cmp(const FP_NR<double>& b) const {
+ if (data > b.data) return 1;
+ if (data < b.data) return -1;
+ return 0;
+}
+
+template<>
+inline int FP_NR<double>::cmp(double b) const {
+ if (data > b) return 1;
+ if (data < b) return -1;
+ return 0;
+}
+
+template<>
+inline int FP_NR<double>::sgn() const {
+ if (data > 0) return 1;
+ if (data < 0) return -1;
+ return 0;
+}
+
+/* operators */
+template<>
+inline void FP_NR<double>::operator=(const FP_NR<double>& f) {
+ data = f.data;
+}
+
+template<>
+inline void FP_NR<double>::operator=(double d) {
+ data = d;
+}
+
+template<>
+inline void FP_NR<double>::operator=(const char *s) {
+ data = strtod(s, NULL);
+}
+
+template<>
+inline bool FP_NR<double>::operator<=(const FP_NR<double>& a) const {
+ return data <= a.data;
+}
+
+template<>
+inline bool FP_NR<double>::operator<=(double a) const {
+ return data <= a;
+}
+
+template<>
+inline bool FP_NR<double>::operator>=(const FP_NR<double>& a) const {
+ return data >= a.data;
+}
+
+template<>
+inline bool FP_NR<double>::operator>=(double a) const {
+ return data >= a;
+}
+
+template<>
+inline bool FP_NR<double>::operator<(const FP_NR<double>& a) const {
+ return data < a.data;
+}
+
+template<>
+inline bool FP_NR<double>::operator<(double a) const {
+ return data < a;
+}
+
+template<>
+inline bool FP_NR<double>::operator>(const FP_NR<double>& a) const {
+ return data > a.data;
+}
+
+template<>
+inline bool FP_NR<double>::operator>(double a) const {
+ return data > a;
+}
+
+template<>
+inline bool FP_NR<double>::is_zero() const {
+ return data == 0;
+}
+
+template<>
+inline int FP_NR<double>::is_nan() const {
+ return data != data;
+}
+
+template<>
+inline int FP_NR<double>::is_finite() const {
+ return isfinite(data);
+}
+
+/* arithmetic */
+template<>
+inline void FP_NR<double>::add(const FP_NR<double>& b, const FP_NR<double>& c, mp_rnd_t /*rnd*/) {
+ data = b.data + c.data;
+}
+
+template<>
+inline void FP_NR<double>::sub(const FP_NR<double>& b, const FP_NR<double>& c, mp_rnd_t /*rnd*/) {
+ data = b.data - c.data;
+}
+
+template<>
+inline void FP_NR<double>::mul(const FP_NR<double>& b, const FP_NR<double>& c, mp_rnd_t /*rnd*/) {
+ data = b.data * c.data;
+}
+
+template<>
+inline void FP_NR<double>::mul_d(const FP_NR<double>& b, const double c, mp_rnd_t /*rnd*/) {
+ data = b.data * c;
+}
+
+template<>
+inline void FP_NR<double>::mul_2si(const FP_NR<double>& b, long c) {
+ data = ldexp(b.data, static_cast<int>(c));
+}
+
+template<>
+inline void FP_NR<double>::div(const FP_NR<double>& b, const FP_NR<double>& c, mp_rnd_t /*rnd*/) {
+ data = b.data / c.data;
+}
+
+template<>
+inline void FP_NR<double>::addmul(const FP_NR<double>& b, const FP_NR<double>& c, mp_rnd_t /*rnd*/) {
+ data = data + b.data * c.data;
+}
+
+template<>
+inline void FP_NR<double>::submul(const FP_NR<double>& b, const FP_NR<double>& c, mp_rnd_t /*rnd*/) {
+ data = data - b.data * c.data;
+}
+
+template<>
+inline void FP_NR<double>::pow_si(const FP_NR<double>& a, long b, mp_rnd_t /*rnd*/) {
+ data = ::pow(a.data, static_cast<double>(b));
+}
+
+template<>
+inline void FP_NR<double>::exponential(const FP_NR<double>& a, mp_rnd_t /*rnd*/) {
+ data = ::exp(a.data);
+}
+
+template<>
+inline void FP_NR<double>::log(const FP_NR<double>& a, mp_rnd_t /*rnd*/) {
+ data = ::log(a.data);
+}
+
+template<>
+inline void FP_NR<double>::sqrt(const FP_NR<double>& s, mp_rnd_t /*rnd*/) {
+ data = ::sqrt(s.data);
+}
+
+template<>
+inline void FP_NR<double>::root(const FP_NR<double>& a, unsigned int k, mp_rnd_t /*rnd*/) {
+ data = ::pow(a.data, 1/(static_cast<double>(k)));
+}
+
+template<>
+inline void FP_NR<double>::neg(const FP_NR<double>& b) {
+ data = -b.data;
+}
+
+template<>
+inline void FP_NR<double>::abs(const FP_NR<double>& b) {
+ data = b.data;
+ if (data < 0) data = -data;
+}
+
+template<>
+inline void FP_NR<double>::rnd(const FP_NR<double>& b) {
+ data = rint(b.data);
+}
+
+template<>
+inline void FP_NR<double>::rnd_we(const FP_NR<double>& b, long expo_add) {
+ // If data == 0.0, exponent() is undefined, but both branches will work
+ if (b.exponent() + expo_add >= numeric_limits<double>::digits)
+ data = b.data;
+ else
+ data = ldexp(::rint(ldexp(b.data, expo_add)), -expo_add);
+}
+
+template<>
+inline void FP_NR<double>::floor(const FP_NR<double>& b) {
+ data = ::floor(b.data);
+}
+
+template<>
+inline void FP_NR<double>::set_nan() {
+ data = NAN;
+}
+
+template<>
+inline void FP_NR<double>::swap(FP_NR<double>& a) {
+ std::swap(data, a.data);
+}
+
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+#ifndef FPLLL_NR_FP_DD_H
+#define FPLLL_NR_FP_DD_H
+/**********************************
+ * F=dd_real specialization
+ *********************************/
+
+#include "../defs.h"
+#include "nr_FP.inl"
+#include <qd/dd_real.h>
+
+FPLLL_BEGIN_NAMESPACE
+
+/* DD specialization if defined QD */
+
+/* constructor */
+template<>
+inline FP_NR<dd_real>::FP_NR() {}
+
+template<>
+inline FP_NR<dd_real>::FP_NR(const FP_NR<dd_real>& f) {data = f.data;}
+
+template<>
+inline FP_NR<dd_real>::~FP_NR() {}
+
+template<>
+inline unsigned int FP_NR<dd_real>::get_prec() {return PREC_DD;}
+
+template<>
+inline unsigned int FP_NR<dd_real>::set_prec(unsigned int) {
+ return get_prec(); // ignored
+}
+
+/* return data */
+template<>
+inline double FP_NR<dd_real>::get_d(mp_rnd_t) const {
+ return ::to_double(data);
+}
+
+template<>
+inline void FP_NR<dd_real>::get_mpfr(mpfr_t r, mp_rnd_t rnd) const {
+ mpfr_set_prec (r, get_prec());
+ mpfr_set_d (r, data._lo(), rnd);
+ mpfr_add_d (r, r, data._hi(), rnd);
+}
+
+template<>
+inline void FP_NR<dd_real>::set_mpfr(mpfr_t r, mp_rnd_t rnd) {
+ data = mpfr_get_ld (r, rnd);
+}
+
+template<>
+inline long FP_NR<dd_real>::get_si() const {
+ return to_int(data);
+}
+
+template<>
+inline long FP_NR<dd_real>::exponent() const {
+ return ilogb(::to_double(data)) + 1;
+}
+
+template<>
+inline long FP_NR<dd_real>::get_si_exp_we(long& expo, long expo_add) const {
+ if (data == 0)
+ expo = 0;
+ else
+ expo = max(exponent() + expo_add - numeric_limits<long>::digits, 0L);
+ return static_cast<long>((::ldexp(data, expo_add - expo)).x[0]);
+}
+
+template<>
+inline long FP_NR<dd_real>::get_si_exp(long& expo) const {
+ return get_si_exp_we(expo, 0);
+}
+
+/* comparison */
+template<>
+inline int FP_NR<dd_real>::cmp(const FP_NR<dd_real>& b) const {
+ if (data > b.data) return 1;
+ if (data < b.data) return -1;
+ return 0;
+}
+
+template<>
+inline int FP_NR<dd_real>::cmp(double b) const {
+ if (data > b) return 1;
+ if (data < b) return -1;
+ return 0;
+}
+
+template<>
+inline int FP_NR<dd_real>::sgn() const {
+ if (data > 0) return 1;
+ if (data < 0) return -1;
+ return 0;
+}
+
+/* operators */
+template<>
+inline void FP_NR<dd_real>::operator=(const FP_NR<dd_real>& a) {
+ data = a.data;
+}
+
+template<>
+inline void FP_NR<dd_real>::operator=(double a) {
+ data = a;
+}
+
+template<>
+inline void FP_NR<dd_real>::operator=(const char* s) {
+ data.read(s, data);
+}
+
+template<>
+inline bool FP_NR<dd_real>::operator<=(const FP_NR<dd_real>& a) const {
+ return data <= a.data;
+}
+
+template<>
+inline bool FP_NR<dd_real>::operator<=(double a) const {
+ return data <= a;
+}
+
+template<>
+inline bool FP_NR<dd_real>::operator>=(const FP_NR<dd_real>& a) const {
+ return data >= a.data;
+}
+
+template<>
+inline bool FP_NR<dd_real>::operator>=(double a) const {
+ return data >= a;
+}
+
+template<>
+inline bool FP_NR<dd_real>::operator<(const FP_NR<dd_real>& a) const {
+ return data < a.data;
+}
+
+template<>
+inline bool FP_NR<dd_real>::operator<(double a) const {
+ return data < a;
+}
+
+template<>
+inline bool FP_NR<dd_real>::operator>(const FP_NR<dd_real>& a) const {
+ return data > a.data;
+}
+
+template<>
+inline bool FP_NR<dd_real>::operator>(double a) const {
+ return data > a;
+}
+
+template<>
+inline bool FP_NR<dd_real>::is_zero() const {
+ return data == 0;
+}
+
+template<>
+inline int FP_NR<dd_real>::is_nan() const {
+ return data.isnan();
+}
+
+template<>
+inline int FP_NR<dd_real>::is_finite() const {
+ return data.isfinite();
+}
+
+/* arithmetic */
+template<>
+inline void FP_NR<dd_real>::add(const FP_NR<dd_real>& b, const FP_NR<dd_real>& c, mp_rnd_t /*rnd*/) {
+ data = b.data + c.data;
+}
+
+template<>
+inline void FP_NR<dd_real>::sub(const FP_NR<dd_real>& b, const FP_NR<dd_real>& c, mp_rnd_t /*rnd*/) {
+ data = b.data - c.data;
+}
+
+template<>
+inline void FP_NR<dd_real>::mul(const FP_NR<dd_real>& b, const FP_NR<dd_real>& c, mp_rnd_t /*rnd*/) {
+ data = b.data * c.data;
+}
+
+template<>
+inline void FP_NR<dd_real>::mul_d(const FP_NR<dd_real>& b, const double c, mp_rnd_t /*rnd*/) {
+ data = b.data * c;
+}
+
+template<>
+inline void FP_NR<dd_real>::mul_2si(const FP_NR<dd_real>& b, long c) {
+ data = ::ldexp(b.data, static_cast<int>(c));
+}
+
+template<>
+inline void FP_NR<dd_real>::div(const FP_NR<dd_real>& a, const FP_NR<dd_real>& b, mp_rnd_t rnd) {
+ data = a.data / b.data;
+}
+
+template<>
+inline void FP_NR<dd_real>::addmul(const FP_NR<dd_real>& b, const FP_NR<dd_real>& c, mp_rnd_t /*rnd*/) {
+ data = data + b.data * c.data;
+}
+
+template<>
+inline void FP_NR<dd_real>::submul(const FP_NR<dd_real>& b, const FP_NR<dd_real>& c, mp_rnd_t /*rnd*/) {
+ data = data - b.data * c.data;
+}
+
+template<>
+inline void FP_NR<dd_real>::pow_si(const FP_NR<dd_real>& a, long b, mp_rnd_t /*rnd*/) {
+ data = ::pow(a.data, static_cast<int>(b));
+}
+
+template<>
+inline void FP_NR<dd_real>::exponential(const FP_NR<dd_real>& a, mp_rnd_t /*rnd*/) {
+ data = ::exp(a.data);
+}
+
+template<>
+inline void FP_NR<dd_real>::log(const FP_NR<dd_real>& a, mp_rnd_t /*rnd*/) {
+ data = ::log(a.data);
+}
+
+template<>
+inline void FP_NR<dd_real>::sqrt(const FP_NR<dd_real>& a, mp_rnd_t /*rnd*/) {
+ data = ::sqrt(a.data);
+}
+
+template<>
+inline void FP_NR<dd_real>::root(const FP_NR<dd_real>& a, unsigned int k, mp_rnd_t /*rnd*/) {
+ data = ::nroot(a.data, k);
+}
+
+template<>
+inline void FP_NR<dd_real>::neg(const FP_NR<dd_real>& b) {
+ data = -b.data;
+}
+
+template<>
+inline void FP_NR<dd_real>::abs(const FP_NR<dd_real>& b) {
+ data = ::abs(b.data);
+}
+
+template<>
+inline void FP_NR<dd_real>::rnd(const FP_NR<dd_real>& b) {
+ data = ::nint(b.data);
+}
+
+template<>
+inline void FP_NR<dd_real>::rnd_we(const FP_NR<dd_real>& b, long expo_add) {
+ /* double-double has same expo limit as double format*/
+ if (b.exponent() + expo_add >= numeric_limits<double>::digits)
+ data = b.data;
+ else
+ data = ::ldexp(::nint(::ldexp(b.data, expo_add)), -expo_add);
+}
+
+template<>
+inline void FP_NR<dd_real>::floor(const FP_NR<dd_real>& b) {
+ data = ::floor(b.data);
+}
+
+template<>
+inline void FP_NR<dd_real>::set_nan() {
+ data = NAN;
+}
+
+template<>
+inline void FP_NR<dd_real>::swap(FP_NR<dd_real>& a) {
+ dd_real t = a.data;
+ a.data = data;
+ data = t;
+}
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/****************************
+ * F=dpe_t specialization
+ ****************************/
+
+#ifndef FPLLL_NR_FP_DPE_H
+#define FPLLL_NR_FP_DPE_H
+
+FPLLL_BEGIN_NAMESPACE
+
+/* DPE specialization if defined */
+#ifdef FPLLL_WITH_DPE
+
+
+/* constructor */
+template<>
+inline FP_NR<dpe_t>::FP_NR() {dpe_init(data);}
+
+template<>
+inline FP_NR<dpe_t>::FP_NR(const FP_NR<dpe_t>& f) {
+ dpe_init(data);
+ dpe_set(data, f.data);
+}
+
+template<>
+inline FP_NR<dpe_t>::~FP_NR() {dpe_clear(data);}
+
+template<>
+inline unsigned int FP_NR<dpe_t>::get_prec() {
+ return DPE_BITSIZE;
+}
+
+template<>
+inline unsigned int FP_NR<dpe_t>::set_prec(unsigned int /*prec*/) {
+ return get_prec(); // ignored
+}
+
+/* return data */
+template<>
+inline double FP_NR<dpe_t>::get_d(mp_rnd_t /*rnd*/) const {
+ return dpe_get_d(data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::get_mpfr(mpfr_t r, mp_rnd_t rnd) const {
+ dpe_get_mpfr (r, data, rnd);
+}
+
+template<>
+inline void FP_NR<dpe_t>::set_mpfr(mpfr_t r, mp_rnd_t /*rnd*/) {
+ dpe_set_mpfr (data, r);
+}
+
+template<>
+inline long FP_NR<dpe_t>::get_si() const {
+ return dpe_get_si(data);
+}
+
+template<>
+inline long FP_NR<dpe_t>::exponent() const {
+ return DPE_EXP(data);
+}
+
+template<>
+inline long FP_NR<dpe_t>::get_si_exp(long& expo) const {
+ long result;
+ expo = dpe_get_si_exp(&result, data);
+ if (dpe_zero_p(data))
+ expo = 0;
+ else if (expo < 0) {
+ /* NOTE: conversion of result to double is exact even if
+ sizeof(long) = 8 */
+ result = static_cast<long>(ldexp(static_cast<double>(result), expo));
+ expo = 0;
+ }
+ return result;
+}
+
+template<>
+inline long FP_NR<dpe_t>::get_si_exp_we(long& expo, long /*expo_add*/) const {
+ return get_si_exp(expo); // NOTE: expo_add = 0
+}
+
+/* comparison */
+template<>
+inline int FP_NR<dpe_t>::cmp(const FP_NR<dpe_t>& a) const {
+ return dpe_cmp(data, a.data);
+}
+
+template<>
+inline int FP_NR<dpe_t>::cmp(double a) const {
+ return dpe_cmp_d(data, a);
+}
+
+template<>
+inline int FP_NR<dpe_t>::sgn() const {
+ return cmp(0.0);
+}
+
+/* operators */
+template<>
+inline void FP_NR<dpe_t>::operator=(const FP_NR<dpe_t>& f) {
+ dpe_set(data, f.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::operator=(double d) {
+ dpe_set_d(data, d);
+}
+
+template<>
+inline void FP_NR<dpe_t>::operator=(const char* s) {
+ DPE_DOUBLE d;
+#ifdef DPE_USE_DOUBLE
+ d = strtod(s, NULL);
+#else
+ d = strtold(s, NULL);
+#endif
+ dpe_set_d(data, d);
+}
+
+template<>
+inline bool FP_NR<dpe_t>::operator<=(const FP_NR<dpe_t>& a) const {
+ return dpe_cmp(data, a.data) <= 0;
+}
+
+template<>
+inline bool FP_NR<dpe_t>::operator<=(double a) const {
+ return dpe_cmp_d(data, a) <= 0;
+}
+
+template<>
+inline bool FP_NR<dpe_t>::operator>=(const FP_NR<dpe_t>& a) const {
+ return dpe_cmp(data, a.data) >= 0;
+}
+
+template<>
+inline bool FP_NR<dpe_t>::operator>=(double a) const {
+ return dpe_cmp_d(data, a) >= 0;
+}
+
+template<>
+inline bool FP_NR<dpe_t>::operator<(const FP_NR<dpe_t>& a) const {
+ return dpe_cmp(data, a.data) < 0;
+}
+
+template<>
+inline bool FP_NR<dpe_t>::operator<(double a) const {
+ return dpe_cmp_d(data, a) < 0;
+}
+
+template<>
+inline bool FP_NR<dpe_t>::operator>(const FP_NR<dpe_t>& a) const {
+ return dpe_cmp(data, a.data) > 0;
+}
+
+template<>
+inline bool FP_NR<dpe_t>::operator>(double a) const {
+ return dpe_cmp_d(data, a) > 0;
+}
+
+template<>
+inline bool FP_NR<dpe_t>::is_zero() const {
+ return dpe_zero_p(data);
+}
+
+template<>
+inline int FP_NR<dpe_t>::is_nan() const {
+ return DPE_MANT(data) != DPE_MANT(data);
+}
+
+template<>
+inline int FP_NR<dpe_t>::is_finite() const {
+ return isfinite(DPE_MANT(data));
+}
+
+/* arithmetic */
+template<>
+inline void FP_NR<dpe_t>::add(const FP_NR<dpe_t>& a, const FP_NR<dpe_t>& b, mp_rnd_t /*rnd*/) {
+ dpe_add(data, a.data, b.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::sub(const FP_NR<dpe_t>& a, const FP_NR<dpe_t>& b, mp_rnd_t /*rnd*/) {
+ dpe_sub(data, a.data, b.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::mul(const FP_NR<dpe_t>& a, const FP_NR<dpe_t>& b, mp_rnd_t /*rnd*/) {
+ dpe_mul(data, a.data, b.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::mul_d(const FP_NR<dpe_t>& a, const double b, mp_rnd_t /*rnd*/) {
+ dpe_mul_d(data, a.data, b);
+}
+
+template<>
+inline void FP_NR<dpe_t>::mul_2si(const FP_NR<dpe_t>& a, long b) {
+ dpe_mul_2si(data, a.data, b);
+}
+
+template<>
+inline void FP_NR<dpe_t>::div(const FP_NR<dpe_t>& a, const FP_NR<dpe_t>& b, mp_rnd_t /*rnd*/) {
+ dpe_div(data, a.data, b.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::addmul(const FP_NR<dpe_t>& a, const FP_NR<dpe_t>& b, mp_rnd_t /*rnd*/) {
+ dpe_addmul(data, a.data, b.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::submul(const FP_NR<dpe_t>& a, const FP_NR<dpe_t>& b, mp_rnd_t /*rnd*/) {
+ dpe_submul(data, a.data, b.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::pow_si(const FP_NR<dpe_t>& a, long b, mp_rnd_t /*rnd*/) {
+ dpe_pow_si (data, a.data, b);
+}
+
+template<>
+inline void FP_NR<dpe_t>::exponential(const FP_NR<dpe_t>& a, mp_rnd_t /*rnd*/) {
+ //dpe_ugly_exp(data, a.data);
+ dpe_exponential(data, a.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::log(const FP_NR<dpe_t>& a, mp_rnd_t /*rnd*/) {
+ dpe_log(data, a.data);
+ //dpe_ugly_log(data, a.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::sqrt(const FP_NR<dpe_t>& a, mp_rnd_t /*rnd*/) {
+ dpe_sqrt(data, a.data);
+}
+
+/* root() function not available */
+
+template<>
+inline void FP_NR<dpe_t>::neg(const FP_NR<dpe_t>& a) {
+ dpe_neg(data, a.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::abs(const FP_NR<dpe_t>& a) {
+ dpe_abs(data, a.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::rnd(const FP_NR<dpe_t>& a) {
+ dpe_round(data, a.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::rnd_we(const FP_NR<dpe_t>& a, long /*expo_add*/) {
+ dpe_round(data, a.data); // NOTE: expo_add = 0
+}
+
+template<>
+inline void FP_NR<dpe_t>::floor(const FP_NR<dpe_t>& a) {
+ dpe_floor(data, a.data);
+}
+
+template<>
+inline void FP_NR<dpe_t>::set_nan() {
+ //dpe_set_d(data, NAN); // DPE_UNLIKELY branch in dpe_normalize
+ DPE_MANT(data) = NAN;
+}
+
+template<>
+inline void FP_NR<dpe_t>::swap(FP_NR<dpe_t>& a) {
+ dpe_swap(data, a.data);
+}
+
+
+
+/* operators FP_NR<dpe_t> */
+template<>
+inline ostream& operator<<(ostream& os, const FP_NR<dpe_t>& x) {
+ double m = DPE_MANT(x.get_data());
+ if (!isfinite(m))
+ os << m;
+ else {
+ double mm = DPE_EXP(x.get_data()) * log10(2.0);
+ long e10 = static_cast<long>(mm);
+ m *= pow(10.0, mm - e10);
+ while (m != 0 && fabs(m) < 1) {
+ m *= 10;
+ e10--;
+ }
+ os << m;
+ if (m != 0 && e10 != 0) os << "e" << e10;
+ }
+ return os;
+}
+
+#endif // #ifdef FPLLL_WITH_DPE
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/****************************
+ * F=long double specialization
+ ****************************/
+
+#ifndef FPLLL_NR_FP_LD_H
+#define FPLLL_NR_FP_LD_H
+
+#include "../defs.h"
+#include "nr_FP.inl"
+
+FPLLL_BEGIN_NAMESPACE
+
+/* LD specialization if defined */
+#ifdef FPLLL_WITH_LONG_DOUBLE
+
+
+/* constructor */
+template<>
+inline FP_NR<long double>::FP_NR() {}
+
+template<>
+inline FP_NR<long double>::FP_NR(const FP_NR<long double>& f) : data (f.data) {}
+
+template<>
+inline FP_NR<long double>::~FP_NR() {}
+
+template<>
+inline unsigned int FP_NR<long double>::get_prec() {
+ return numeric_limits<long double>::digits;
+}
+
+template<>
+inline unsigned int FP_NR<long double>::set_prec(unsigned int /*prec*/) {
+ return get_prec(); // ignored
+}
+
+/* return data */
+template<>
+inline double FP_NR<long double>::get_d(mp_rnd_t /*rnd*/) const {
+ return static_cast<double>(data);
+}
+
+template<>
+inline void FP_NR<long double>::get_mpfr(mpfr_t r, mp_rnd_t rnd) const {
+ mpfr_set_ld (r, data, rnd);
+}
+
+template<>
+inline void FP_NR<long double>::set_mpfr(mpfr_t r, mp_rnd_t rnd) {
+ data = mpfr_get_ld (r, rnd);
+}
+
+template<>
+inline long FP_NR<long double>::get_si() const {
+ return static_cast<long>(data);
+}
+
+template<>
+inline long FP_NR<long double>::exponent() const {
+ return static_cast<long>(ilogbl(data) + 1);
+}
+
+template<>
+inline long FP_NR<long double>::get_si_exp_we(long& expo, long expo_add) const {
+ if (data == 0.0)
+ expo = 0;
+ else
+ expo = max(exponent() + expo_add - numeric_limits<long>::digits, 0L);
+ return static_cast<long>(ldexpl(data, expo_add - expo));
+}
+
+template<>
+inline long FP_NR<long double>::get_si_exp(long& expo) const {
+ return get_si_exp_we(expo, 0);
+}
+
+/* comparison */
+template<>
+inline int FP_NR<long double>::cmp(const FP_NR<long double>& b) const {
+ if (data > b.data) return 1;
+ if (data < b.data) return -1;
+ return 0;
+}
+
+template<>
+inline int FP_NR<long double>::cmp(double b) const {
+ if (data > b) return 1;
+ if (data < b) return -1;
+ return 0;
+}
+
+template<>
+inline int FP_NR<long double>::sgn() const {
+ if (data > 0) return 1;
+ if (data < 0) return -1;
+ return 0;
+}
+
+/* operators */
+template<>
+inline void FP_NR<long double>::operator=(const FP_NR<long double>& f) {
+ data = f.data;
+}
+
+template<>
+inline void FP_NR<long double>::operator=(double d) {
+ data = d;
+}
+
+template<>
+inline void FP_NR<long double>::operator=(const char *s) {
+ data = strtold(s, NULL);
+}
+
+
+template<>
+inline bool FP_NR<long double>::operator<=(const FP_NR<long double>& a) const {
+ return data <= a.data;
+}
+
+template<>
+inline bool FP_NR<long double>::operator<=(double a) const {
+ return data <= a;
+}
+
+template<>
+inline bool FP_NR<long double>::operator>=(const FP_NR<long double>& a) const {
+ return data >= a.data;
+}
+
+template<>
+inline bool FP_NR<long double>::operator>=(double a) const {
+ return data >= a;
+}
+
+template<>
+inline bool FP_NR<long double>::operator<(const FP_NR<long double>& a) const {
+ return data < a.data;
+}
+
+template<>
+inline bool FP_NR<long double>::operator<(double a) const {
+ return data < a;
+}
+
+template<>
+inline bool FP_NR<long double>::operator>(const FP_NR<long double>& a) const {
+ return data > a.data;
+}
+
+template<>
+inline bool FP_NR<long double>::operator>(double a) const {
+ return data > a;
+}
+
+template<>
+inline bool FP_NR<long double>::is_zero() const {
+ return data == 0;
+}
+
+template<>
+inline int FP_NR<long double>::is_nan() const {
+ return data != data;
+}
+
+template<>
+inline int FP_NR<long double>::is_finite() const {
+ return isfinite(data);
+}
+
+/* arithmetic */
+template<>
+inline void FP_NR<long double>::add(const FP_NR<long double>& b, const FP_NR<long double>& c, mp_rnd_t /*rnd*/) {
+ data = b.data + c.data;
+}
+
+template<>
+inline void FP_NR<long double>::sub(const FP_NR<long double>& b, const FP_NR<long double>& c, mp_rnd_t /*rnd*/) {
+ data = b.data - c.data;
+}
+
+template<>
+inline void FP_NR<long double>::mul(const FP_NR<long double>& b, const FP_NR<long double>& c, mp_rnd_t /*rnd*/) {
+ data = b.data * c.data;
+}
+
+template<>
+inline void FP_NR<long double>::mul_d(const FP_NR<long double>& b, const double c, mp_rnd_t /*rnd*/) {
+ data = b.data * c;
+}
+
+template<>
+inline void FP_NR<long double>::mul_2si(const FP_NR<long double>& b, long c) {
+ data = ldexpl(b.data, static_cast<int>(c));
+}
+
+template<>
+inline void FP_NR<long double>::div(const FP_NR<long double>& b, const FP_NR<long double>& c, mp_rnd_t /*rnd*/) {
+ data = b.data / c.data;
+}
+
+template<>
+inline void FP_NR<long double>::addmul(const FP_NR<long double>& b, const FP_NR<long double>& c, mp_rnd_t /*rnd*/) {
+ data = data + b.data * c.data;
+}
+
+template<>
+inline void FP_NR<long double>::submul(const FP_NR<long double>& b, const FP_NR<long double>& c, mp_rnd_t /*rnd*/) {
+ data = data - b.data * c.data;
+}
+
+template<>
+inline void FP_NR<long double>::pow_si(const FP_NR<long double>& a, long b, mp_rnd_t /*rnd*/) {
+ data = powl(a.data, static_cast<long double>(b));
+}
+
+template<>
+inline void FP_NR<long double>::exponential(const FP_NR<long double>& a, mp_rnd_t /*rnd*/) {
+ data = expl(a.data);
+}
+
+template<>
+inline void FP_NR<long double>::log(const FP_NR<long double>& a, mp_rnd_t /*rnd*/) {
+ data = logl(a.data);
+}
+
+template<>
+inline void FP_NR<long double>::sqrt(const FP_NR<long double>& s, mp_rnd_t /*rnd*/) {
+ data = sqrtl(s.data);
+}
+
+template<>
+inline void FP_NR<long double>::root(const FP_NR<long double>& a, unsigned int k, mp_rnd_t /*rnd*/) {
+ data = powl(a.data, 1/(static_cast<double>(k)));
+}
+
+template<>
+inline void FP_NR<long double>::neg(const FP_NR<long double>& b) {
+ data = -b.data;
+}
+
+template<>
+inline void FP_NR<long double>::abs(const FP_NR<long double>& b) {
+ data = b.data;
+ if (data < 0) data = -data;
+}
+
+template<>
+inline void FP_NR<long double>::rnd(const FP_NR<long double>& b) {
+ data = rintl(b.data);
+}
+
+template<>
+inline void FP_NR<long double>::rnd_we(const FP_NR<long double>& b, long expo_add) {
+ // If data == 0.0, exponent() is undefined, but both branches will work
+ if (b.exponent() + expo_add >= numeric_limits<long double>::digits)
+ data = b.data;
+ else
+ data = ldexpl(rintl(ldexpl(b.data, expo_add)), -expo_add);
+}
+
+template<>
+inline void FP_NR<long double>::floor(const FP_NR<long double>& b) {
+ data = floorl(b.data);
+}
+
+template<>
+inline void FP_NR<long double>::set_nan() {
+ data = NAN;
+}
+
+template<>
+inline void FP_NR<long double>::swap(FP_NR<long double>& a) {
+ std::swap(data, a.data);
+}
+
+
+#endif // End FPLLL_WITH_LONG_DOUBLE
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/************************
+ * Extra utils for NR_FP
+ ************************/
+
+#ifndef FPLLL_NR_FP_MISC_H
+#define FPLLL_NR_FP_MISC_H
+
+FPLLL_BEGIN_NAMESPACE
+
+
+/* -------------------------
+ * set_z (Z_NR --> FP_NR)
+ * ------------------------- */
+
+
+/* set_z (to double) */
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<double>::set_z(const Z_NR<long>& a, mp_rnd_t /*rnd*/) {
+ data = a.get_d();
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<double>::set_z(const Z_NR<double>& a, mp_rnd_t /*rnd*/) {
+ data = a.get_d();
+}
+#endif
+
+template<> template<>
+inline void FP_NR<double>::set_z(const Z_NR<mpz_t>& a, mp_rnd_t /*rnd*/) {
+ data = a.get_d();
+}
+
+
+/* set_z (to long double) */
+#ifdef FPLLL_WITH_LONG_DOUBLE
+
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<long double>::set_z(const Z_NR<long>& a, mp_rnd_t /*rnd*/) {
+ data = a.get_ld();
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<long double>::set_z(const Z_NR<double>& a, mp_rnd_t /*rnd*/) {
+ data = a.get_ld();
+}
+#endif
+
+template<> template<>
+inline void FP_NR<long double>::set_z(const Z_NR<mpz_t>& a, mp_rnd_t /*rnd*/) {
+ data = a.get_ld();
+}
+
+#endif
+
+
+/* set_z (to dpe_t) */
+#ifdef FPLLL_WITH_DPE
+
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<dpe_t>::set_z(const Z_NR<long>& a, mp_rnd_t /*rnd*/) {
+ dpe_set_si(data, a.get_data());
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<dpe_t>::set_z(const Z_NR<double>& a, mp_rnd_t /*rnd*/) {
+ dpe_set_d(data, a.get_data());
+}
+#endif
+
+template<> template<>
+inline void FP_NR<dpe_t>::set_z(const Z_NR<mpz_t>& a, mp_rnd_t /*rnd*/) {
+ dpe_set_z(data, const_cast<mpz_t&>(a.get_data()));
+}
+
+#endif
+
+
+/* set_z (to dd_real) */
+#ifdef FPLLL_WITH_QD
+
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<dd_real>::set_z(const Z_NR<long>& a, mp_rnd_t) {
+ data = a.get_data();
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<dd_real>::set_z(const Z_NR<double>& a, mp_rnd_t /*rnd*/) {
+ data = a.get_data();
+}
+#endif
+
+template<> template<>
+inline void FP_NR<dd_real>::set_z(const Z_NR<mpz_t>& a, mp_rnd_t /*rnd*/) {
+ data = mpz_get_d(a.get_data());
+}
+
+#endif
+
+
+/* set_z (to qd_real) */
+#ifdef FPLLL_WITH_QD
+
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<qd_real>::set_z(const Z_NR<long>& a, mp_rnd_t) {
+ data = a.get_data();
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<qd_real>::set_z(const Z_NR<double>& a, mp_rnd_t /*rnd*/) {
+ data = a.get_data();
+}
+#endif
+
+template<> template<>
+inline void FP_NR<qd_real>::set_z(const Z_NR<mpz_t>& a, mp_rnd_t /*rnd*/) {
+ data = mpz_get_d(a.get_data());
+}
+
+#endif
+
+
+/* set_z (to mpfr_t) */
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<mpfr_t>::set_z(const Z_NR<long>& a, mp_rnd_t rnd) {
+ mpfr_set_si(data, a.get_data(), rnd);
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<mpfr_t>::set_z(const Z_NR<double>& a, mp_rnd_t rnd) {
+ mpfr_set_d(data, a.get_data(), rnd);
+}
+#endif
+
+template<> template<>
+inline void FP_NR<mpfr_t>::set_z(const Z_NR<mpz_t>& a, mp_rnd_t rnd) {
+ mpfr_set_z(data, a.get_data(), rnd);
+}
+
+
+/* -----------------------------
+ * get_z_exp (FP_NR --> Z_NR)
+ * ----------------------------- */
+
+
+/* get_z_exp_we (double --> Z_NR) */
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<double>::get_z_exp_we(Z_NR<long>& a, long& expo, long expo_add) const {
+ expo = 0;
+ a = static_cast<long>(ldexp(data, expo_add));
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<double>::get_z_exp_we(Z_NR<double>& a, long& expo, long expo_add) const {
+ expo = 0;
+ a.get_data() = trunc(ldexp(data, expo_add));
+}
+#endif
+
+template<> template<>
+inline void FP_NR<double>::get_z_exp_we(Z_NR<mpz_t>& a, long& expo, long expo_add) const {
+ expo = max(exponent() + expo_add - numeric_limits<double>::digits, 0L);
+ mpz_set_d(a.get_data(), ldexp(data, expo_add - expo));
+}
+
+template<> template<class Z>
+inline void FP_NR<double>::get_z_exp(Z_NR<Z>& a, long& expo) const {
+ return get_z_exp_we(a, expo, 0);
+}
+
+
+/* get_z_exp_we (long double --> Z_NR) */
+#ifdef FPLLL_WITH_LONG_DOUBLE
+
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<long double>::get_z_exp_we(Z_NR<long>& a, long& expo, long expo_add) const {
+ expo = 0;
+ a = static_cast<long>(ldexpl(data, expo_add));
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<long double>::get_z_exp_we(Z_NR<double>& a, long& expo, long expo_add) const {
+ expo = 0;
+ a.get_data() = trunc(static_cast<double>(ldexpl(data, expo_add)));
+}
+#endif
+
+template<> template<>
+inline void FP_NR<long double>::get_z_exp_we(Z_NR<mpz_t>& a, long& expo, long expo_add) const {
+ expo = max(exponent() + expo_add - numeric_limits<long double>::digits, 0L);
+ /* If expo > 0, then
+ expo_add - expo = numeric_limits<long double>::digits - exponent()
+ which implies that ldexpl(data, expo_add - expo) is an integer */
+ LDConvHelper::mpz_set_ld(a.get_data(), trunc(ldexpl(data, expo_add - expo)));
+}
+
+template<> template<class Z>
+inline void FP_NR<long double>::get_z_exp(Z_NR<Z>& a, long& expo) const {
+ return get_z_exp_we(a, expo, 0);
+}
+
+#endif
+
+
+/* get_z_exp_we (dpe_t --> Z_NR) */
+#ifdef FPLLL_WITH_DPE
+
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<dpe_t>::get_z_exp(Z_NR<long>& a, long& expo) const {
+ expo = 0;
+ a = get_si();
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<dpe_t>::get_z_exp(Z_NR<double>& a, long& expo) const {
+ expo = max(DPE_EXP(data) - numeric_limits<double>::digits, 0);
+ a.get_data() = trunc(ldexp(DPE_MANT(data), DPE_EXP(data) - expo));
+}
+#endif
+
+template<> template<>
+inline void FP_NR<dpe_t>::get_z_exp(Z_NR<mpz_t>& a, long& expo) const {
+ expo = max(DPE_EXP(data) - DPE_BITSIZE, 0);
+ mpz_set_d(a.get_data(), trunc(ldexp(DPE_MANT(data), DPE_EXP(data) - expo)));
+}
+
+template<> template<class Z>
+inline void FP_NR<dpe_t>::get_z_exp_we(Z_NR<Z>& a, long& expo, long /*expo_add*/) const {
+ return get_z_exp(a, expo);
+}
+
+#endif
+
+
+/* get_z_exp and get_z_exp_we (dd_real and qd_real --> Z_NR) */
+#ifdef FPLLL_WITH_QD
+
+template<> template<>
+inline void FP_NR<dd_real>::get_z_exp_we(Z_NR<mpz_t>& a, long& expo, long expo_add) const {
+ // double-double has almost the same exp as double
+ expo = max(exponent() + expo_add - numeric_limits<double>::digits, 0L);
+ // losing precision here
+ mpz_set_d(a.get_data(),::to_double(::ldexp(data, expo_add - expo)));
+}
+template<> template<>
+inline void FP_NR<qd_real>::get_z_exp_we(Z_NR<mpz_t>& a, long& expo, long expo_add) const {
+ expo = max(exponent() + expo_add - numeric_limits<double>::digits, 0L);
+ mpz_set_d(a.get_data(),::to_double(::ldexp(data, expo_add - expo)));
+}
+
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<dd_real>::get_z_exp_we(Z_NR<long>& a, long& expo, long expo_add) const {
+ expo = 0;
+ a = ::to_int(::ldexp(data, expo_add));
+}
+template<> template<>
+inline void FP_NR<qd_real>::get_z_exp_we(Z_NR<long>& a, long& expo, long expo_add) const {
+ expo = 0;
+ a = ::to_int(::ldexp(data, expo_add));
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<dd_real>::get_z_exp_we(Z_NR<double>& a, long& expo, long expo_add) const {
+ expo = 0;
+ a = get_si();
+}
+template<> template<>
+inline void FP_NR<qd_real>::get_z_exp_we(Z_NR<double>& a, long& expo, long expo_add) const {
+ expo = 0;
+ a = get_si();
+}
+#endif
+
+template<> template<class Z>
+inline void FP_NR<dd_real>::get_z_exp(Z_NR<Z>& a, long& expo) const {
+ return get_z_exp_we(a, expo, 0);
+}
+template<> template<class Z>
+inline void FP_NR<qd_real>::get_z_exp(Z_NR<Z>& a, long& expo) const {
+ return get_z_exp_we(a, expo, 0);
+}
+
+#endif
+
+
+/* get_z_exp_we (from mpfr_t) */
+#ifdef FPLLL_WITH_ZLONG
+template<> template<>
+inline void FP_NR<mpfr_t>::get_z_exp(Z_NR<long>& a, long& expo) const {
+ expo = 0;
+ a = get_si();
+}
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template<> template<>
+inline void FP_NR<mpfr_t>::get_z_exp(Z_NR<double>& a, long& expo) const {
+ expo = 0;
+ a.get_data() = trunc(mpfr_get_d(data, GMP_RNDZ));
+}
+#endif
+
+template<> template<>
+inline void FP_NR<mpfr_t>::get_z_exp(Z_NR<mpz_t>& a, long& expo) const {
+ expo = mpfr_get_z_exp(a.get_data(), data);
+ if (expo < 0) {
+ a.mul_2si(a, expo);
+ expo = 0;
+ }
+}
+
+template<> template<class Z>
+inline void FP_NR<mpfr_t>::get_z_exp_we(Z_NR<Z>& a, long& expo, long /*expo_add*/) const {
+ return get_z_exp(a, expo);
+}
+
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/****************************
+ * F=mpfr_t specialization
+ ****************************/
+
+#ifndef FPLLL_NR_FP_MPFR_H
+#define FPLLL_NR_FP_MPFR_H
+
+FPLLL_BEGIN_NAMESPACE
+
+/* MPFR specialization */
+
+/* constructor */
+template<>
+inline FP_NR<mpfr_t>::FP_NR() {mpfr_init(data);}
+
+template<>
+inline FP_NR<mpfr_t>::FP_NR(const FP_NR<mpfr_t>& f) {
+ mpfr_init_set(data, f.data, GMP_RNDN);
+}
+
+template<>
+inline FP_NR<mpfr_t>::~FP_NR() {mpfr_clear(data);}
+
+template<>
+inline unsigned int FP_NR<mpfr_t>::get_prec() {
+ return mpfr_get_default_prec();
+}
+
+template<>
+inline unsigned int FP_NR<mpfr_t>::set_prec(unsigned int prec) {
+ int old_prec = get_prec();
+ mpfr_set_default_prec(prec);
+ return old_prec;
+}
+
+/* return data */
+template<>
+inline double FP_NR<mpfr_t>::get_d(mp_rnd_t rnd) const {
+ return mpfr_get_d(data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::get_mpfr(mpfr_t r, mp_rnd_t rnd) const {
+ mpfr_set(r, data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::set_mpfr(mpfr_t r, mp_rnd_t rnd) {
+ mpfr_set(data, r, rnd);
+}
+
+template<>
+inline long FP_NR<mpfr_t>::get_si() const {
+ return mpfr_get_si(data,GMP_RNDN);
+}
+
+template<>
+inline long FP_NR<mpfr_t>::exponent() const {
+ return mpfr_get_exp(data);
+}
+
+template<>
+inline long FP_NR<mpfr_t>::get_si_exp(long& expo) const {
+ if (mpfr_zero_p(data)) {
+ expo = 0;
+ }
+ else {
+ expo = max(exponent() - numeric_limits<long>::digits, 0L);
+ }
+ mpfr_t& nc_data = const_cast<mpfr_t&>(data);
+ mpfr_div_2si(nc_data, nc_data, expo, GMP_RNDN);
+ long result = mpfr_get_si(nc_data, GMP_RNDZ);
+ mpfr_mul_2si(nc_data, nc_data, expo, GMP_RNDN);
+ return result;
+}
+
+template<>
+inline long FP_NR<mpfr_t>::get_si_exp_we(long& expo, long /*expo_add*/) const {
+ return get_si_exp(expo); // NOTE: expo_add = 0
+}
+
+/* comparison */
+template<>
+inline int FP_NR<mpfr_t>::cmp(const FP_NR<mpfr_t>& a) const {
+ return mpfr_cmp(data, a.data);
+}
+
+template<>
+inline int FP_NR<mpfr_t>::cmp(double a) const {
+ return mpfr_cmp_d(data, a);
+}
+
+template<>
+inline int FP_NR<mpfr_t>::sgn() const {
+ return mpfr_sgn(data);
+}
+
+/*operators */
+template<>
+inline void FP_NR<mpfr_t>::operator=(const FP_NR<mpfr_t>& a) {
+ mpfr_set(data, a.data, GMP_RNDN);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::operator=(double a) {
+ mpfr_set_d(data, a, GMP_RNDN);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::operator=(const char *s) {
+ mpfr_set_str(data, s, 10, GMP_RNDN);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::operator=(mpfr_t& a) {
+ mpfr_set(data, a, GMP_RNDN);
+}
+
+template<>
+inline bool FP_NR<mpfr_t>::operator<=(const FP_NR<mpfr_t>& a) const {
+ return mpfr_cmp(data, a.data) <= 0;
+}
+
+template<>
+inline bool FP_NR<mpfr_t>::operator<=(double a) const {
+ return mpfr_cmp_d(data, a) <= 0;
+}
+
+template<>
+inline bool FP_NR<mpfr_t>::operator>=(const FP_NR<mpfr_t>& a) const {
+ return mpfr_cmp(data, a.data) >= 0;
+}
+
+template<>
+inline bool FP_NR<mpfr_t>::operator>=(double a) const {
+ return mpfr_cmp_d(data, a) >= 0;
+}
+
+template<>
+inline bool FP_NR<mpfr_t>::operator<(const FP_NR<mpfr_t>& a) const {
+ return mpfr_cmp(data, a.data) < 0;
+}
+
+template<>
+inline bool FP_NR<mpfr_t>::operator<(double a) const {
+ return mpfr_cmp_d(data, a) < 0;
+}
+
+template<>
+inline bool FP_NR<mpfr_t>::operator>(const FP_NR<mpfr_t>& a) const {
+ return mpfr_cmp(data, a.data) > 0;
+}
+
+template<>
+inline bool FP_NR<mpfr_t>::operator>(double a) const {
+ return mpfr_cmp_d(data, a) > 0;
+}
+
+template<>
+inline bool FP_NR<mpfr_t>::is_zero() const {
+ return mpfr_zero_p(data);
+}
+
+template<>
+inline int FP_NR<mpfr_t>::is_nan() const {
+ return mpfr_nan_p(data);
+}
+
+template<>
+inline int FP_NR<mpfr_t>::is_finite() const {
+ return mpfr_number_p(data);
+}
+
+/* arithmetic */
+template<>
+inline void FP_NR<mpfr_t>::add(const FP_NR<mpfr_t>& a, const FP_NR<mpfr_t>& b, mp_rnd_t rnd) {
+ mpfr_add(data, a.data, b.data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::sub(const FP_NR<mpfr_t>& a, const FP_NR<mpfr_t>& b, mp_rnd_t rnd) {
+ mpfr_sub(data, a.data, b.data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::mul(const FP_NR<mpfr_t>& a, const FP_NR<mpfr_t>& b, mp_rnd_t rnd) {
+ mpfr_mul(data, a.data, b.data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::mul_d(const FP_NR<mpfr_t>& a, double b, mp_rnd_t rnd) {
+ mpfr_mul_d(data, a.data, b, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::mul_mpfr(const FP_NR<mpfr_t>& a, const mpfr_t b, mp_rnd_t rnd) {
+ mpfr_mul(data, a.data, b, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::mul_2si(const FP_NR<mpfr_t>& a, long b) {
+ mpfr_mul_2si(data, a.data, b, GMP_RNDN);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::div(const FP_NR<mpfr_t>& a, const FP_NR<mpfr_t>& b, mp_rnd_t rnd) {
+ mpfr_div(data, a.data, b.data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::div_d(const FP_NR<mpfr_t>& a, const double b, mp_rnd_t rnd) {
+ mpfr_div_d(data, a.data, b, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::addmul(const FP_NR<mpfr_t>& b, const FP_NR<mpfr_t>& c, mp_rnd_t rnd) {
+ mpfr_fma(data, b.data, c.data, data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::submul(const FP_NR<mpfr_t>& b, const FP_NR<mpfr_t>& c, mp_rnd_t rnd) {
+ mpfr_fms(data, b.data, c.data, data, rnd);
+ mpfr_neg(data, data, GMP_RNDN); // Exact
+}
+
+template<>
+inline void FP_NR<mpfr_t>::pow_si(const FP_NR<mpfr_t>& a, long b, mp_rnd_t rnd) {
+ mpfr_pow_si(data, a.data, b, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::exponential(const FP_NR<mpfr_t>& a, mp_rnd_t rnd) {
+ mpfr_exp(data, a.data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::log(const FP_NR<mpfr_t>& a, mp_rnd_t rnd) {
+ mpfr_log(data, a.data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::sqrt(const FP_NR<mpfr_t>& a, mp_rnd_t rnd) {
+ mpfr_sqrt(data, a.data, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::root(const FP_NR<mpfr_t>& a, unsigned int k, mp_rnd_t rnd) {
+ mpfr_root(data, a.data, k, rnd);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::neg(const FP_NR<mpfr_t>& a) {
+ mpfr_neg(data, a.data, GMP_RNDN);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::abs(const FP_NR<mpfr_t>& a) {
+ mpfr_abs(data, a.data, GMP_RNDN);
+}
+template<>
+inline void FP_NR<mpfr_t>::rnd(const FP_NR<mpfr_t>& a) {
+ mpfr_round(data, a.data);
+}
+template<>
+inline void FP_NR<mpfr_t>::rnd_we(const FP_NR<mpfr_t>& a, long /*expo_add*/) {
+ mpfr_round(data, a.data); // NOTE: expo_add = 0
+}
+template<>
+inline void FP_NR<mpfr_t>::floor(const FP_NR<mpfr_t>& a) {
+ mpfr_floor(data, a.data);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::set_nan() {
+ mpfr_set_nan(data);
+}
+
+template<>
+inline void FP_NR<mpfr_t>::swap(FP_NR<mpfr_t>& a) {
+ mpfr_swap(data, a.data);
+}
+
+
+/* operators FP_NR<mpfr_t> */
+template<>
+inline ostream& operator<<(ostream& os, const FP_NR<mpfr_t>& x) {
+ mp_exp_t e;
+ char* s = mpfr_get_str(NULL, &e, 10, os.precision(), x.get_data(), GMP_RNDN);
+ char* p = s;
+ if (*p == '-') {
+ os << *p;
+ p++;
+ }
+ if (*p == '@' || *p == 0)
+ os << p;
+ else if (*p == '0')
+ os << *p;
+ else {
+ os << *p << '.' << p + 1;
+ if (e - 1 != 0) os << 'e' << e - 1;
+ }
+ mpfr_free_str(s);
+ return os;
+}
+
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+#ifndef FPLLL_NR_FP_QD_H
+#define FPLLL_NR_FP_QD_H
+/**********************************
+ * F=qd_real specialization
+ *********************************/
+
+#include "../defs.h"
+#include "nr_FP.inl"
+#include <qd/qd_real.h>
+
+FPLLL_BEGIN_NAMESPACE
+
+/* QD specialization if defined QD */
+
+
+/* constructor */
+template<>
+inline FP_NR<qd_real>::FP_NR() {}
+
+template<>
+inline FP_NR<qd_real>::FP_NR(const FP_NR<qd_real>& f) {data = f.data;}
+
+template<>
+inline FP_NR<qd_real>::~FP_NR() {}
+
+template<>
+inline unsigned int FP_NR<qd_real>::get_prec() {
+ return PREC_QD;
+}
+
+template<>
+inline unsigned int FP_NR<qd_real>::set_prec(unsigned int) {
+ return get_prec(); // ignored
+}
+
+/* return data */
+template<>
+inline double FP_NR<qd_real>::get_d(mp_rnd_t /*rnd*/) const {
+ return ::to_double(data);
+}
+
+template<>
+inline void FP_NR<qd_real>::get_mpfr(mpfr_t r, mp_rnd_t rnd) const {
+ mpfr_set_prec (r, get_prec());
+ mpfr_set_d (r, data.x[0], rnd);
+ mpfr_add_d (r, r, data.x[1], rnd);
+ mpfr_add_d (r, r, data.x[2], rnd);
+ mpfr_add_d (r, r, data.x[3], rnd);
+}
+
+template<>
+inline void FP_NR<qd_real>::set_mpfr(mpfr_t r, mp_rnd_t rnd) {
+ data = mpfr_get_ld (r, rnd);
+}
+
+template<>
+inline long FP_NR<qd_real>::get_si() const {
+ return to_int(data);
+}
+
+template<>
+inline long FP_NR<qd_real>::exponent() const {
+ return ilogb(::to_double(data)) + 1;
+}
+
+template<>
+inline long FP_NR<qd_real>::get_si_exp_we(long& expo, long expo_add) const {
+ if (data == 0)
+ expo = 0;
+ else
+ expo = max(exponent() + expo_add - numeric_limits<long>::digits, 0L);
+ return static_cast<long>((::ldexp(data, expo_add - expo)).x[0]);
+}
+
+template<>
+inline long FP_NR<qd_real>::get_si_exp(long& expo) const {
+ return get_si_exp_we(expo, 0);
+}
+
+/* comparison */
+template<>
+inline int FP_NR<qd_real>::cmp(const FP_NR<qd_real>& b) const {
+ if (data > b.data) return 1;
+ if (data < b.data) return -1;
+ return 0;
+}
+
+template<>
+inline int FP_NR<qd_real>::cmp(double b) const {
+ if (data > b) return 1;
+ if (data < b) return -1;
+ return 0;
+}
+
+template<>
+inline int FP_NR<qd_real>::sgn() const {
+ if (data > 0) return 1;
+ if (data < 0) return -1;
+ return 0;
+}
+
+/* operators */
+template<>
+inline void FP_NR<qd_real>::operator=(const FP_NR<qd_real>& f) {
+ data = f.data;
+}
+
+template<>
+inline void FP_NR<qd_real>::operator=(double d) {
+ data = d;
+}
+
+template<>
+inline void FP_NR<qd_real>::operator=(const char* s) {
+ data.read(s, data);
+}
+
+template<>
+inline bool FP_NR<qd_real>::operator<=(const FP_NR<qd_real>& a) const {
+ return data <= a.data;
+}
+
+template<>
+inline bool FP_NR<qd_real>::operator<=(double a) const {
+ return data <= a;
+}
+
+template<>
+inline bool FP_NR<qd_real>::operator>=(const FP_NR<qd_real>& a) const {
+ return data >= a.data;
+}
+
+template<>
+inline bool FP_NR<qd_real>::operator>=(double a) const {
+ return data >= a;
+}
+
+template<>
+inline bool FP_NR<qd_real>::operator<(const FP_NR<qd_real>& a) const {
+ return data < a.data;
+}
+
+template<>
+inline bool FP_NR<qd_real>::operator<(double a) const {
+ return data < a;
+}
+
+template<>
+inline bool FP_NR<qd_real>::operator>(const FP_NR<qd_real>& a) const {
+ return data > a.data;
+}
+
+template<>
+inline bool FP_NR<qd_real>::operator>(double a) const {
+ return data > a;
+}
+
+template<>
+inline bool FP_NR<qd_real>::is_zero() const {
+ return data == 0;
+}
+
+template<>
+inline int FP_NR<qd_real>::is_nan() const {
+ return data.isnan();
+}
+
+template<>
+inline int FP_NR<qd_real>::is_finite() const {
+ return ::isfinite(data);
+}
+
+/* arithmetic */
+template<>
+inline void FP_NR<qd_real>::add(const FP_NR<qd_real>& b, const FP_NR<qd_real>& c, mp_rnd_t /*rnd*/) {
+ data = b.data + c.data;
+}
+
+template<>
+inline void FP_NR<qd_real>::sub(const FP_NR<qd_real>& b, const FP_NR<qd_real>& c, mp_rnd_t /*rnd*/) {
+ data = b.data - c.data;
+}
+
+template<>
+inline void FP_NR<qd_real>::mul(const FP_NR<qd_real>& b, const FP_NR<qd_real>& c, mp_rnd_t /*rnd*/) {
+ data = b.data * c.data;
+}
+
+template<>
+inline void FP_NR<qd_real>::mul_d(const FP_NR<qd_real>& b, const double c, mp_rnd_t /*rnd*/) {
+ data = b.data * c;
+}
+
+template<>
+inline void FP_NR<qd_real>::mul_2si(const FP_NR<qd_real>& b, long c) {
+ data = ::ldexp(b.data, static_cast<int>(c));
+}
+
+template<>
+inline void FP_NR<qd_real>::div(const FP_NR<qd_real>& a, const FP_NR<qd_real>& b, mp_rnd_t rnd) {
+ data = a.data / b.data;
+}
+
+template<>
+inline void FP_NR<qd_real>::addmul(const FP_NR<qd_real>& b, const FP_NR<qd_real>& c, mp_rnd_t /*rnd*/) {
+ data = data + b.data * c.data;
+}
+
+template<>
+inline void FP_NR<qd_real>::submul(const FP_NR<qd_real>& b, const FP_NR<qd_real>& c, mp_rnd_t /*rnd*/) {
+ data = data - b.data * c.data;
+}
+
+template<>
+inline void FP_NR<qd_real>::pow_si(const FP_NR<qd_real>& a, long b, mp_rnd_t /*rnd*/) {
+ data = ::pow(a.data, static_cast<int>(b));
+}
+
+template<>
+inline void FP_NR<qd_real>::exponential(const FP_NR<qd_real>& a, mp_rnd_t /*rnd*/) {
+ data = ::exp(a.data);
+}
+
+template<>
+inline void FP_NR<qd_real>::log(const FP_NR<qd_real>& a, mp_rnd_t /*rnd*/) {
+ data = ::log(a.data);
+}
+
+template<>
+inline void FP_NR<qd_real>::sqrt(const FP_NR<qd_real>& a, mp_rnd_t /*rnd*/) {
+ data = ::sqrt(a.data);
+}
+
+template<>
+inline void FP_NR<qd_real>::root(const FP_NR<qd_real>& a, unsigned int k, mp_rnd_t /*rnd*/) {
+ data = ::nroot(a.data, k);
+}
+
+template<>
+inline void FP_NR<qd_real>::neg(const FP_NR<qd_real>& b) {
+ data = -b.data;
+}
+
+template<>
+inline void FP_NR<qd_real>::abs(const FP_NR<qd_real>& b) {
+ data = ::abs(b.data);
+}
+
+template<>
+inline void FP_NR<qd_real>::rnd(const FP_NR<qd_real>& b) {
+ data = ::nint(b.data);
+}
+
+template<>
+inline void FP_NR<qd_real>::rnd_we(const FP_NR<qd_real>& b, long expo_add) {
+ /* quad-double has same expo limit as double format*/
+ if (b.exponent() + expo_add >= numeric_limits<double>::digits)
+ data = b.data;
+ else
+ data = ::ldexp(::nint(::ldexp(b.data, expo_add)), -expo_add);
+}
+
+template<>
+inline void FP_NR<qd_real>::floor(const FP_NR<qd_real>& b) {
+ data = ::floor(b.data);
+}
+
+template<>
+inline void FP_NR<qd_real>::set_nan() {
+ data = NAN;
+}
+
+template<>
+inline void FP_NR<qd_real>::swap(FP_NR<qd_real>& a) {
+ qd_real t = a.data;
+ a.data = data;
+ data = t;
+}
+
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/*********************
+ * Integer Class
+ *********************/
+
+#ifndef FPLLL_NR_Z_H
+#define FPLLL_NR_Z_H
+
+FPLLL_BEGIN_NAMESPACE
+
+/* declaration FP_NR */
+template<class F> class FP_NR;
+
+
+/**
+ * Z_NR stores integers. This template provides a uniform interface
+ * for doing integer computations with several underlying types
+ * (long, double and mpz_t).
+ */
+template<class Z>
+class Z_NR
+{
+
+ Z data;
+
+public:
+
+ /**
+ * Constructors.
+ */
+ inline Z_NR<Z>();
+ inline Z_NR<Z>(const Z_NR<Z>& z);
+ inline ~Z_NR<Z>();
+
+ /** get data */
+
+ /**
+ * Returns the internal representation of the data.
+ */
+ inline Z& get_data() {return data;}
+
+ /**
+ * Returns the internal representation of the data.
+ */
+ inline const Z& get_data() const {return data;}
+
+ /**
+ * Converts this object to a double. If it does not fit in
+ * a double, the result is undefined.
+ */
+ inline double get_d() const;
+
+ /**
+ * Converts this object to a long double. If it does not fit in
+ * a long double, the result is undefined.
+ */
+#ifdef FPLLL_WITH_LONG_DOUBLE
+ inline long double get_ld() const;
+#endif
+
+ /**
+ * Converts this object to a long. If it does not fit in a long,
+ * the result is undefined.
+ */
+ inline long get_si() const;
+
+ /**
+ * Converts this object to a mpz.
+ */
+ inline void get_mpz(mpz_t r) const;
+
+ /**
+ * Returns the smallest non-negative expo such that |value| < 2^expo.
+ */
+ inline long exponent() const;
+
+ /**
+ * Computes f and expo such that 0.5 <= f < 1 and value ~= 2^expo * f.
+ * The rounding direction is undefined.
+ * This function is implemented only for native floating-point types
+ * (double and long double), otherwise the behaviour is undefined.
+ */
+ template<class F> inline void get_f_exp(F& f, long& expo);
+
+ /** set data */
+
+ /**
+ * Sets the value to x. When FT=mpfr_t, x is rounded to the nearest
+ * integer and if the fractional part of x is 0.5, the even integer
+ * is chosen when. Otherwise, the rounding direction is undefined.
+ */
+ template<class F> inline void set_f(const FP_NR<F>& f);
+
+ /**
+ * Sets the value to s, signed integer in basis 10.
+ */
+ inline void set_str(const char* s);
+
+ /** comparison */
+
+ /**
+ * 3-way comparison. Returns a positive number if *this > m, a
+ * negative number if *this < m or zero is *this == m.
+ */
+ inline int cmp(const Z_NR<Z>& m) const;
+
+ /**
+ * Sign. Returns a positive number, a negative number or zero
+ * if the value of this object is respectively positive,
+ * negative or null.
+ */
+ inline int sgn() const;
+
+ /**
+ * Operator
+ */
+ inline void operator=(const Z_NR<Z>& z);
+ inline void operator=(const mpz_t& z);
+ inline void operator=(long i);
+ inline bool operator<(const Z_NR<Z>& a) const;
+ inline bool operator<(long a) const;
+ inline bool operator>(const Z_NR<Z>& a) const;
+ inline bool operator>(long a) const;
+ inline bool operator<=(const Z_NR<Z>& a) const;
+ inline bool operator<=(long a) const;
+ inline bool operator>=(const Z_NR<Z>& a) const;
+ inline bool operator>=(long a) const;
+ inline bool operator==(const Z_NR<Z>& a) const;
+ inline bool operator==(long a) const;
+ inline bool operator!=(const Z_NR<Z>& a) const;
+ inline bool operator!=(long a) const;
+
+ /**
+ * max between a and b
+ */
+ inline Z_NR& max_z(Z_NR<Z>& b) {
+ if ((*this)<=b)
+ return b;
+ else
+ return (*this);
+ }
+
+ /**
+ * Returns non-zero if the current value is zero, 0 otherwise.
+ */
+ inline bool is_zero() const {return *this == 0;}
+
+ /** arithmetic */
+
+ /**
+ * value := a + b.
+ */
+ inline void add(const Z_NR<Z>& a, const Z_NR<Z>& b);
+ inline void add_ui(const Z_NR<Z>& a, unsigned int b);
+ /**
+ * value := a - b.
+ */
+ inline void sub(const Z_NR<Z>& a, const Z_NR<Z>& b);
+ inline void sub_ui(const Z_NR<Z>& a, unsigned int b);
+
+ /**
+ * value := -a.
+ */
+ inline void neg(const Z_NR<Z>& a);
+
+ /**
+ * value := a * b.
+ */
+ inline void mul(const Z_NR<Z>& a, const Z_NR<Z>& b);
+
+ /**
+ * value := a * b.
+ */
+ inline void mul_si(const Z_NR<Z>& a, long b);
+ inline void mul_ui(const Z_NR<Z>& a, unsigned long b);
+
+ /**
+ * value := a * 2^b.
+ * if Z=long and |b| >= size_in_bits(a), the result is undefined.
+ */
+ inline void mul_2si(const Z_NR<Z>& a, long b);
+
+ /**
+ * value := a / 2^b.
+ * if Z=long and |b| >= size_in_bits(a), the result is undefined.
+ */
+ inline void div_2si(const Z_NR<Z>& a, long b);
+
+ /**
+ * value := value + a * b.
+ */
+ inline void addmul(const Z_NR<Z>& a, const Z_NR<Z>& b);
+ inline void addmul_ui(const Z_NR<Z>& a, unsigned long b);
+ inline void addmul_si(const Z_NR<Z>& a, long b);
+
+ /**
+ * value := value - a * b.
+ */
+ inline void submul(const Z_NR<Z>& a, const Z_NR<Z>& b);
+ inline void submul_ui(const Z_NR<Z>& a, unsigned long b);
+
+ /**
+ * value := absolute value of a.
+ */
+ inline void abs(const Z_NR<Z>& a);
+
+ /**
+ * Efficiently swaps the values of two Z_NR.
+ */
+ inline void swap(Z_NR<Z>& a);
+
+ /**
+ * Generates random integer between 0 and 2^bits-1.
+ */
+ inline void randb(int bits);
+ inline void randb_si(int bits);
+
+ /**
+ * Generates random integer between 0 and max - 1
+ */
+ inline void randm(const Z_NR<Z>& max);
+ inline void randm_si(const Z_NR<Z>& max);
+
+ /**
+ * Generates smallest prime number above nbr
+ */
+ inline void nextprime(const Z_NR<Z>& nbr);
+
+};
+
+
+/**
+ * LDConvHelper provides conversion functions between mpz_t and
+ * long double which are not (yet) in GMP. It uses mpfr so it is slow.
+ */
+#ifdef FPLLL_WITH_LONG_DOUBLE
+
+class LDConvHelper {
+public:
+ /** Converts op to a long double with rounding to nearest. */
+ static long double mpz_get_ld(const mpz_t op) {
+ init_temp();
+ mpfr_set_z(temp, op, GMP_RNDN);
+ return mpfr_get_ld(temp, GMP_RNDN); // exact
+ }
+
+ static void free() {
+ free_temp();
+ }
+
+ /**
+ * Returns d and sets exp such that 0.5 <= |d| < 1 and d * 2^exp is equal
+ * to op rounded to the nearest long double.
+ */
+ static long double mpz_get_ld_2exp(long* exp, const mpz_t op) {
+ init_temp();
+ mpfr_set_z(temp, op, GMP_RNDN);
+ return mpfr_get_ld_2exp(exp, temp, GMP_RNDN); // exact
+ }
+
+ /** Sets the value of rop from op. */
+ static void mpz_set_ld(mpz_t rop, long double op) {
+ init_temp();
+ mpfr_set_ld(temp, op, GMP_RNDN); // exact
+ mpfr_get_z(rop, temp, GMP_RNDN);
+ }
+
+private:
+ static inline void init_temp() {
+ if (!temp_initialized) {
+ mpfr_init2(temp, numeric_limits<long double>::digits);
+ temp_initialized = true;
+ }
+ }
+
+ static inline void free_temp() {
+ if (temp_initialized) {
+ mpfr_clear(temp);
+ temp_initialized = false;
+ }
+ }
+
+ // These static members are initialized in util.cpp
+ static mpfr_t temp;
+ static bool temp_initialized;
+};
+
+#endif
+
+
+/** overloading stream operators */
+
+/**
+ * Prints x on stream os.
+ */
+template<class T>
+ostream& operator<<(ostream& os, const Z_NR<T>& x);
+
+/**
+ * Reads x from stream is.
+ */
+template<class T>
+istream& operator>>(istream& is, Z_NR<T>& x);
+
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/****************************
+ * Z=double specialization
+ ****************************/
+
+#ifndef FPLLL_NR_Z_D_H
+#define FPLLL_NR_Z_D_H
+
+FPLLL_BEGIN_NAMESPACE
+
+
+/* specialization double as z */
+#ifdef FPLLL_WITH_ZDOUBLE
+
+template<>
+inline Z_NR<double>::Z_NR() {}
+
+template<>
+inline Z_NR<double>::Z_NR(const Z_NR<double>& z) : data(z.data) {}
+
+template<>
+inline Z_NR<double>::~Z_NR() {}
+
+/** get data */
+template<>
+inline double Z_NR<double>::get_d() const {
+ return data;
+}
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<>
+inline long double Z_NR<double>::get_ld() const {
+ return static_cast<long double>(data);
+}
+#endif
+
+template<>
+inline long Z_NR<double>::get_si() const {
+ return static_cast<long>(rint(data));
+}
+
+template<>
+inline void Z_NR<double>::get_mpz(mpz_t r) const {
+ mpz_set_d (r, data);
+}
+
+template<>
+inline long Z_NR<double>::exponent() const {
+ int int_expo;
+ frexp(data, &int_expo);
+ return static_cast<long>(int_expo);
+}
+
+/** set data */
+template<>
+inline void Z_NR<double>::set_str(const char* s) {
+ data = atof(s);
+}
+
+/** comparison */
+template<>
+inline int Z_NR<double>::cmp(const Z_NR<double>& m) const {
+ if (data > m.data) return 1;
+ if (data == m.data) return 0;
+ return -1;
+}
+
+template<>
+inline int Z_NR<double>::sgn() const {
+ if (data > 0.0) return 1;
+ if (data == 0.0) return 0;
+ return -1;
+}
+
+/** operator */
+template<>
+inline void Z_NR<double>::operator=(const Z_NR<double>& a) {
+ data = a.data;
+}
+
+template<>
+inline void Z_NR<double>::operator=(long a) {
+ data = static_cast<double>(a);
+}
+
+template<>
+inline bool Z_NR<double>::operator<(const Z_NR<double>& a) const {
+ return data < a.data;
+}
+
+template<>
+inline bool Z_NR<double>::operator<(long a) const {
+ return data < static_cast<double>(a);
+}
+
+template<>
+inline bool Z_NR<double>::operator>(const Z_NR<double>& a) const {
+ return data > a.data;
+}
+
+template<>
+inline bool Z_NR<double>::operator>(long a) const {
+ return data > static_cast<double>(a);
+}
+
+template<>
+inline bool Z_NR<double>::operator<=(const Z_NR<double>& a) const {
+ return data <= a.data;
+}
+
+template<>
+inline bool Z_NR<double>::operator<=(long a) const {
+ return data <= static_cast<double>(a);
+}
+
+template<>
+inline bool Z_NR<double>::operator>=(const Z_NR<double>& a) const {
+ return data >= a.data;
+}
+
+template<>
+inline bool Z_NR<double>::operator>=(long a) const {
+ return data >= static_cast<double>(a);
+}
+
+template<>
+inline bool Z_NR<double>::operator==(const Z_NR<double>& a) const {
+ return data == a.data;
+}
+
+template<>
+inline bool Z_NR<double>::operator==(long a) const {
+ return data == static_cast<double>(a);
+}
+
+template<>
+inline bool Z_NR<double>::operator!=(const Z_NR<double>& a) const {
+ return data != a.data;
+}
+
+template<>
+inline bool Z_NR<double>::operator!=(long a) const {
+ return data != static_cast<double>(a);
+}
+
+/** arithmetic */
+template<>
+inline void Z_NR<double>::add(const Z_NR<double>& a, const Z_NR<double>& b) {
+ data = a.data + b.data;
+}
+
+template<>
+inline void Z_NR<double>::add_ui(const Z_NR<double>& a, unsigned int b) {
+ data = a.data + static_cast<double>(b);
+}
+
+template<>
+inline void Z_NR<double>::sub(const Z_NR<double>& a, const Z_NR<double>& b) {
+ data = a.data - b.data;
+}
+
+template<>
+inline void Z_NR<double>::sub_ui(const Z_NR<double>& a, unsigned int b) {
+ data = a.data - static_cast<double>(b);
+}
+
+template<>
+inline void Z_NR<double>::neg(const Z_NR<double>& a) {
+ data = -a.data;
+}
+
+template<>
+inline void Z_NR<double>::mul(const Z_NR<double>& a, const Z_NR<double>& b) {
+ data = a.data * b.data;
+}
+
+template<>
+inline void Z_NR<double>::mul_si(const Z_NR<double>& a, long int b) {
+ data = a.data * static_cast<double>(b);
+}
+
+template<>
+inline void Z_NR<double>::mul_ui(const Z_NR<double>& a, long unsigned int b) {
+ data = a.data * static_cast<double>(b);
+}
+
+template<>
+inline void Z_NR<double>::mul_2si(const Z_NR<double>& a, long b) {
+ data = ldexp(a.data, b);
+}
+
+template<>
+inline void Z_NR<double>::div_2si(const Z_NR<double>& a, long b) {
+ data = ldexp(a.data, -b);
+}
+
+template<>
+inline void Z_NR<double>::addmul(const Z_NR<double>& a, const Z_NR<double>& b) {
+ data += a.data * b.data;
+}
+
+template<>
+inline void Z_NR<double>::addmul_ui(const Z_NR<double>& a, unsigned long b) {
+ data += a.data * static_cast<double>(b);
+}
+
+template<>
+inline void Z_NR<double>::addmul_si(const Z_NR<double>& a, long b) {
+ data += a.data * static_cast<double>(b);
+}
+
+template<>
+inline void Z_NR<double>::submul(const Z_NR<double>& a, const Z_NR<double>& b) {
+ data -= a.data * b.data;
+}
+
+template<>
+inline void Z_NR<double>::submul_ui(const Z_NR<double>& a, unsigned long b) {
+ data -= a.data * static_cast<double>(b);
+}
+
+template<>
+inline void Z_NR<double>::abs(const Z_NR<double>& a) {
+ data = fabs(a.data);
+}
+
+template<>
+inline void Z_NR<double>::swap(Z_NR<double>& a) {
+ std::swap(data, a.data);
+}
+
+/** random numbers */
+template<>
+inline void Z_NR<double>::randb(int bits) {
+ mpz_t temp;
+ mpz_init(temp);
+ mpz_urandomb(temp, RandGen::get_gmp_state(), bits);
+ data = mpz_get_d(temp);
+ mpz_clear(temp);
+}
+
+template<>
+inline void Z_NR<double>::randb_si(int bits) {
+ randb (bits);
+ data = data * RandGenInt::get_bit();
+}
+
+template<>
+inline void Z_NR<double>::randm(const Z_NR<double>& max) {
+ mpz_t temp, lim;
+ mpz_init(temp);
+ mpz_init(lim);
+ mpz_set_d(lim, max.data);
+ mpz_urandomm(temp, RandGen::get_gmp_state(), lim);
+ data = mpz_get_d(temp);
+ mpz_clear(temp);
+ mpz_clear(lim);
+}
+
+template<>
+inline void Z_NR<double>::randm_si(const Z_NR<double>& max) {
+ randm (max);
+ data = data * RandGenInt::get_bit();
+}
+
+
+template<>
+inline void Z_NR<double>::nextprime(const Z_NR<double>& nbr) {
+ mpz_t temp, temp2;
+ mpz_init(temp);
+ mpz_init(temp2);
+ mpz_set_d(temp, nbr.data);
+ mpz_nextprime(temp2, temp);
+ data = mpz_get_d(temp2);
+ mpz_clear(temp);
+ mpz_clear(temp2);
+}
+
+/* operator Z_NR<double> */
+template<>
+inline ostream& operator<<(ostream& os, const Z_NR<double>& x) {
+ return os << x.get_data();
+}
+
+template<>
+inline istream& operator>>(istream& is, Z_NR<double>& x) {
+ return is >> x.get_data();
+}
+
+
+#endif // #ifdef FPLLL_WITH_ZDOUBLE
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/************************
+ * Z=long specialization
+ ************************/
+
+#ifndef FPLLL_NR_Z_L_H
+#define FPLLL_NR_Z_L_H
+
+FPLLL_BEGIN_NAMESPACE
+
+/* specialization long */
+#ifdef FPLLL_WITH_ZLONG
+
+
+template<>
+inline Z_NR<long>::Z_NR() {}
+
+template<>
+inline Z_NR<long>::Z_NR(const Z_NR<long>& z) : data(z.data) {}
+
+template<>
+inline Z_NR<long>::~Z_NR() {}
+
+/** get data */
+template<>
+inline double Z_NR<long>::get_d() const {
+ return static_cast<double>(data);
+}
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<>
+inline long double Z_NR<long>::get_ld() const {
+ return static_cast<long double>(data);
+}
+#endif
+
+template<>
+inline long Z_NR<long>::get_si() const {
+ return data;
+}
+
+template<>
+inline void Z_NR<long>::get_mpz(mpz_t r) const {
+ mpz_set_si (r, data);
+}
+
+inline long compute_long_exponent(long data) {
+ unsigned long y = static_cast<unsigned long>(abs(data));
+ long e;
+ for (e = 0; y; e++, y >>= 1) {}
+ return e;
+}
+
+template<>
+inline long Z_NR<long>::exponent() const {
+ int int_expo;
+ double f_norm = frexp(static_cast<double>(data), &int_expo);
+ if (data > MAX_LONG_FAST && fabs(f_norm) == 0.5)
+ return compute_long_exponent(data);
+ else
+ return static_cast<long>(int_expo);
+}
+
+/** set data */
+template<>
+inline void Z_NR<long>::set_str(const char* s) {
+ data = atol(s);
+}
+
+/** comparison */
+template<>
+inline int Z_NR<long>::cmp(const Z_NR<long>& m) const {
+ if (data > m.data) return 1;
+ if (data == m.data) return 0;
+ return -1;
+}
+
+template<>
+inline int Z_NR<long>::sgn() const {
+ if (data > 0) return 1;
+ if (data == 0) return 0;
+ return -1;
+}
+
+/** operator */
+template<>
+inline void Z_NR<long>::operator=(const Z_NR<long>& a) {
+ data = a.data;
+}
+
+template<>
+inline void Z_NR<long>::operator=(long a) {
+ data = static_cast<long>(a);
+}
+
+template<>
+inline void Z_NR<long>::operator=(const mpz_t& a) {
+ data = mpz_get_si(a);
+}
+
+template<>
+inline bool Z_NR<long>::operator<(const Z_NR<long>& a) const {
+ return data < a.data;
+}
+
+template<>
+inline bool Z_NR<long>::operator<(long a) const {
+ return data < a;
+}
+
+template<>
+inline bool Z_NR<long>::operator>(const Z_NR<long>& a) const {
+ return data > a.data;
+}
+
+template<>
+inline bool Z_NR<long>::operator>(long a) const {
+ return data > a;
+}
+
+template<>
+inline bool Z_NR<long>::operator<=(const Z_NR<long>& a) const {
+ return data <= a.data;
+}
+
+template<>
+inline bool Z_NR<long>::operator<=(long a) const {
+ return data <= a;
+}
+
+template<>
+inline bool Z_NR<long>::operator>=(const Z_NR<long>& a) const {
+ return data >= a.data;
+}
+
+template<>
+inline bool Z_NR<long>::operator>=(long a) const {
+ return data >= a;
+}
+
+template<>
+inline bool Z_NR<long>::operator==(const Z_NR<long>& a) const {
+ return data == a.data;
+}
+
+template<>
+inline bool Z_NR<long>::operator==(long a) const {
+ return data == a;
+}
+
+template<>
+inline bool Z_NR<long>::operator!=(const Z_NR<long>& a) const {
+ return data != a.data;
+}
+
+template<>
+inline bool Z_NR<long>::operator!=(long a) const {
+ return data != a;
+}
+
+/** arithmetic */
+template<>
+inline void Z_NR<long>::add(const Z_NR<long>& a, const Z_NR<long>& b) {
+ data = a.data + b.data;
+}
+
+template<>
+inline void Z_NR<long>::add_ui(const Z_NR<long>& a, unsigned int b) {
+ data = a.data + b;
+}
+
+template<>
+inline void Z_NR<long>::sub(const Z_NR<long>& a, const Z_NR<long>& b) {
+ data = a.data - b.data;
+}
+
+template<>
+inline void Z_NR<long>::sub_ui(const Z_NR<long>& a, unsigned int b) {
+ data = a.data - b;
+}
+
+template<>
+inline void Z_NR<long>::neg(const Z_NR<long>& a) {
+ data = -a.data;
+}
+
+template<>
+inline void Z_NR<long>::mul(const Z_NR<long>& a, const Z_NR<long>& b) {
+ data = a.data * b.data;
+}
+
+template<>
+inline void Z_NR<long>::mul_si(const Z_NR<long>& a, long b) {
+ data = a.data * b;
+}
+
+template<>
+inline void Z_NR<long>::mul_ui(const Z_NR<long>& a, unsigned long b) {
+ data = a.data * b;
+}
+
+template<>
+inline void Z_NR<long>::mul_2si(const Z_NR<long>& a, long b) {
+ //NOTE: if b >= size_in_bits(a), the result is undefined
+ if (b >= 0)
+ data = a.data << b;
+ else
+ data = a.data >> -b;
+}
+
+template<>
+inline void Z_NR<long>::div_2si(const Z_NR<long>& a, long b) {
+ //NOTE: if b >= size_in_bits(a), the result is undefined
+ if (b >= 0)
+ data = a.data >> b;
+ else
+ data = a.data << -b;
+}
+
+template<>
+inline void Z_NR<long>::addmul(const Z_NR<long>& a, const Z_NR<long>& b) {
+ data += a.data * b.data;
+}
+
+template<>
+inline void Z_NR<long>::addmul_ui(const Z_NR<long>& a, unsigned long b) {
+ data += a.data * b;
+}
+
+template<>
+inline void Z_NR<long>::addmul_si(const Z_NR<long>& a, long b) {
+ data += a.data * b;
+}
+
+template<>
+inline void Z_NR<long>::submul(const Z_NR<long>& a, const Z_NR<long>& b) {
+ data -= a.data * b.data;
+}
+
+template<>
+inline void Z_NR<long>::submul_ui(const Z_NR<long>& a, unsigned long b) {
+ data -= a.data * b;
+}
+
+template<>
+inline void Z_NR<long>::abs(const Z_NR<long>& a) {
+ data = labs(a.data);
+}
+
+template<>
+inline void Z_NR<long>::swap(Z_NR<long>& a) {
+ std::swap(data, a.data);
+}
+
+/** random numbers */
+template<>
+inline void Z_NR<long>::randb(int bits) {
+ mpz_t temp;
+ mpz_init(temp);
+ mpz_urandomb(temp, RandGen::get_gmp_state(), bits);
+ data = mpz_get_si(temp);
+ mpz_clear(temp);
+}
+
+template<>
+inline void Z_NR<long>::randb_si(int bits) {
+ randb (bits);
+ data = data * RandGenInt::get_bit();
+}
+
+template<>
+inline void Z_NR<long>::randm(const Z_NR<long>& max) {
+ mpz_t temp, lim;
+ mpz_init(temp);
+ mpz_init(lim);
+ mpz_set_si(lim, max.data);
+ mpz_urandomm(temp, RandGen::get_gmp_state(), lim);
+ data = mpz_get_si(temp);
+ mpz_clear(temp);
+ mpz_clear(lim);
+}
+
+template<>
+inline void Z_NR<long>::randm_si(const Z_NR<long>& max) {
+ randm (max);
+ data = data * RandGenInt::get_bit();
+}
+
+
+template<>
+inline void Z_NR<long>::nextprime(const Z_NR<long>& nbr) {
+ mpz_t temp, temp2;
+ mpz_init(temp);
+ mpz_init(temp2);
+ mpz_set_ui(temp, nbr.data);
+ mpz_nextprime(temp2, temp);
+ data = mpz_get_ui(temp2);
+ mpz_clear(temp);
+ mpz_clear(temp2);
+}
+
+
+/* operators Z_NR<long> */
+template<>
+inline ostream& operator<<(ostream& os, const Z_NR<long>& x) {
+ return os << x.get_data();
+}
+
+template<>
+inline istream& operator>>(istream& is, Z_NR<long>& x) {
+ return is >> x.get_data();
+}
+
+
+#endif // #ifdef FPLLL_WITH_ZLONG
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/************************
+ * Extra utils for NR_Z
+ ************************/
+
+#ifndef FPLLL_NR_Z_MISC_H
+#define FPLLL_NR_Z_MISC_H
+
+FPLLL_BEGIN_NAMESPACE
+
+
+/* -----------------------------
+ * get_f_exp (Z_NR --> FP_NR)
+ * ----------------------------- */
+
+/* get_f_exp (long to double) */
+#ifdef FPLLL_WITH_ZLONG
+
+template<> template<>
+inline void Z_NR<long>::get_f_exp(FP_NR<double>& f, long& expo) {
+ int int_expo;
+ f.get_data() = frexp(static_cast<double>(data), &int_expo);
+ expo = int_expo;
+}
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<> template<>
+inline void Z_NR<long>::get_f_exp(FP_NR<long double>& f, long& expo) {
+ int int_expo;
+ f.get_data() = frexpl(static_cast<long double>(data), &int_expo);
+ expo = int_expo;
+}
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template<> template<>
+inline void Z_NR<long>::get_f_exp(FP_NR<dpe_t>& /*f*/, long& /*expo*/) {
+ FPLLL_DEBUG_ABORT("get_f_exp unimplemented for dpe_t");
+}
+#endif
+
+#ifdef FPLLL_WITH_QD
+template<> template<>
+inline void Z_NR<long>::get_f_exp(FP_NR<dd_real>& f, long& expo) {
+ int int_expo;
+ f.get_data() = frexp(static_cast<double>(data), &int_expo);
+ expo = int_expo;
+}
+template<> template<>
+inline void Z_NR<long>::get_f_exp(FP_NR<qd_real>& f, long& expo) {
+ int int_expo;
+ f.get_data() = frexp(static_cast<double>(data), &int_expo);
+ expo = int_expo;
+}
+#endif
+
+template<> template<>
+inline void Z_NR<long>::get_f_exp(FP_NR<mpfr_t>& /*f*/, long& /*expo*/) {
+ FPLLL_DEBUG_ABORT("get_f_exp unimplemented for mpfr_t");
+}
+
+#endif
+
+
+/* get_f_exp (double to double) */
+#ifdef FPLLL_WITH_ZDOUBLE
+
+template<> template<>
+inline void Z_NR<double>::get_f_exp(FP_NR<double>& f, long& expo) {
+ int int_expo;
+ f.get_data() = frexp(data, &int_expo);
+ expo = int_expo;
+}
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<> template<>
+inline void Z_NR<double>::get_f_exp(FP_NR<long double>& f, long& expo) {
+ int int_expo;
+ f.get_data() = static_cast<long double>(frexp(data, &int_expo));
+ expo = int_expo;
+}
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template<> template<>
+inline void Z_NR<double>::get_f_exp(FP_NR<dpe_t>& /*f*/, long& /*expo*/) {
+ FPLLL_DEBUG_ABORT("get_f_exp unimplemented for dpe_t");
+}
+#endif
+
+#ifdef FPLLL_WITH_QD
+template<> template<>
+inline void Z_NR<double>::get_f_exp(FP_NR<dd_real>& f, long& expo) {
+ int int_expo;
+ f.get_data() = frexp(data, &int_expo);
+ expo = int_expo;
+}
+template<> template<>
+inline void Z_NR<double>::get_f_exp(FP_NR<qd_real>& f, long& expo) {
+ int int_expo;
+ f.get_data() = frexp(data, &int_expo);
+ expo = int_expo;
+}
+#endif
+
+template<> template<>
+inline void Z_NR<double>::get_f_exp(FP_NR<mpfr_t>& f, long& expo) {
+ int int_expo;
+ f = frexp(data, &int_expo);
+ expo = int_expo;
+ FPLLL_DEBUG_ABORT("get_f_exp unimplemented for mpfr_t");
+}
+
+#endif
+
+
+/* get_f_exp (mpz_t to double) */
+template<> template<>
+inline void Z_NR<mpz_t>::get_f_exp(FP_NR<double>& f, long& expo) {
+ f.get_data() = mpz_get_d_2exp(&expo, data);
+}
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<> template<>
+inline void Z_NR<mpz_t>::get_f_exp(FP_NR<long double>& f, long& expo) {
+ f.get_data() = LDConvHelper::mpz_get_ld_2exp(&expo, data);
+}
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template<> template<>
+inline void Z_NR<mpz_t>::get_f_exp(FP_NR<dpe_t>& /*f*/, long& /*expo*/) {
+ FPLLL_DEBUG_ABORT("get_f_exp unimplemented for dpe_t");
+}
+#endif
+
+#ifdef FPLLL_WITH_QD
+template<> template<>
+inline void Z_NR<mpz_t>::get_f_exp(FP_NR<dd_real>& f, long& expo) {
+ f.get_data() = mpz_get_d_2exp(&expo, data);
+}
+template<> template<>
+inline void Z_NR<mpz_t>::get_f_exp(FP_NR<qd_real>& f, long& expo) {
+ f.get_data() = mpz_get_d_2exp(&expo, data);
+}
+#endif
+
+template<> template<>
+inline void Z_NR<mpz_t>::get_f_exp(FP_NR<mpfr_t>& f, long& expo) {
+ f = mpz_get_d_2exp(&expo, data);
+}
+
+
+/* -------------------------
+ * set_f (FP_NR --> Z_NR)
+ * ------------------------- */
+
+/* set_f (FP_NR to long) */
+#ifdef FPLLL_WITH_ZLONG
+
+template<> template<>
+inline void Z_NR<long>::set_f(const FP_NR<double>& a) {
+ data = a.get_si();
+}
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<> template<>
+inline void Z_NR<long>::set_f(const FP_NR<long double>& a) {
+ data = a.get_si();
+}
+#endif
+
+#ifdef FPLLL_WITH_QD
+template<> template<>
+inline void Z_NR<long>::set_f(const FP_NR<dd_real>& a) {
+ data = a.get_si();
+}
+
+template<> template<>
+inline void Z_NR<long>::set_f(const FP_NR<qd_real>& a) {
+ data = a.get_si();
+}
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template<> template<>
+inline void Z_NR<long>::set_f(const FP_NR<dpe_t>& a) {
+ data = a.get_si();
+}
+#endif
+
+template<> template<>
+inline void Z_NR<long>::set_f(const FP_NR<mpfr_t>& a) {
+ data = a.get_si();
+}
+
+#endif // #ifdef FPLLL_WITH_ZLONG
+
+/* set_f (FP_NR to Zdouble) */
+#ifdef FPLLL_WITH_ZDOUBLE
+
+template<> template<>
+inline void Z_NR<double>::set_f(const FP_NR<double>& a) {
+ data = a.get_d();
+}
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<> template<>
+inline void Z_NR<double>::set_f(const FP_NR<long double>& a) {
+ data = a.get_d();
+}
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template<> template<>
+inline void Z_NR<double>::set_f(const FP_NR<dpe_t>& a) {
+ data = a.get_d();
+}
+#endif
+
+#ifdef FPLLL_WITH_QD
+template<> template<>
+inline void Z_NR<double>::set_f(const FP_NR<dd_real>& a) {
+ data = a.get_d();
+}
+
+template<> template<>
+inline void Z_NR<double>::set_f(const FP_NR<qd_real>& a) {
+ data = a.get_d();
+}
+#endif
+
+template<> template<>
+inline void Z_NR<double>::set_f(const FP_NR<mpfr_t>& a) {
+ data = a.get_d();
+}
+#endif // #ifdef FPLLL_WITH_ZDOUBLE
+
+/* set_f (FP_NR to mpz_t) */
+template<> template<>
+inline void Z_NR<mpz_t>::set_f(const FP_NR<double>& a) {
+ mpz_set_d(data, a.get_data());
+}
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<> template<>
+inline void Z_NR<mpz_t>::set_f(const FP_NR<long double>& a) {
+ LDConvHelper::mpz_set_ld(data, a.get_data());
+}
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template<> template<>
+inline void Z_NR<mpz_t>::set_f(const FP_NR<dpe_t>& a) {
+ dpe_get_z(data, const_cast<dpe_t&>(a.get_data()));
+}
+#endif
+
+#ifdef FPLLL_WITH_QD
+template<> template<>
+inline void Z_NR<mpz_t>::set_f(const FP_NR<dd_real>& a) {
+ mpfr_t t;
+ mpfr_init(t);
+ a.get_mpfr (t, GMP_RNDN);
+ mpfr_get_z(data, t, GMP_RNDN);
+ mpfr_clear(t);
+}
+
+template<> template<>
+inline void Z_NR<mpz_t>::set_f(const FP_NR<qd_real>& a) {
+ mpfr_t t;
+ mpfr_init(t);
+ a.get_mpfr (t, GMP_RNDN);
+ mpfr_get_z(data, t, GMP_RNDN);
+ mpfr_clear(t);
+}
+#endif
+
+template<> template<>
+inline void Z_NR<mpz_t>::set_f(const FP_NR<mpfr_t>& a) {
+ mpfr_get_z(data, a.get_data(), GMP_RNDN);
+}
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/****************************
+ * Z=mpz_t specialization
+ ****************************/
+
+#ifndef FPLLL_NR_Z_MPZ_H
+#define FPLLL_NR_Z_MPZ_H
+
+FPLLL_BEGIN_NAMESPACE
+
+
+/* specialization */
+template<>
+inline Z_NR<mpz_t>::Z_NR() {
+ mpz_init(data);
+}
+
+template<>
+inline Z_NR<mpz_t>::Z_NR(const Z_NR<mpz_t>& z) {
+ mpz_init_set(data, z.data);
+}
+
+template<>
+inline Z_NR<mpz_t>::~Z_NR() {
+ mpz_clear(data);
+}
+
+/** get data */
+template<>
+inline double Z_NR<mpz_t>::get_d() const {
+ return mpz_get_d(data);
+}
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template<>
+inline long double Z_NR<mpz_t>::get_ld() const {
+ return LDConvHelper::mpz_get_ld(data);
+}
+#endif
+
+template<>
+inline long Z_NR<mpz_t>::get_si() const {
+ return mpz_get_si(data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::get_mpz(mpz_t r) const {
+ mpz_set (r, data);
+}
+
+template<>
+inline long Z_NR<mpz_t>::exponent() const {
+ long expo;
+ mpz_get_d_2exp(&expo, data);
+ return expo;
+}
+
+/** set data */
+template<>
+inline void Z_NR<mpz_t>::set_str(const char* s) {
+ mpz_set_str(data, s, 10);
+}
+
+/** comparison */
+template<>
+inline int Z_NR<mpz_t>::cmp(const Z_NR<mpz_t>& m) const {
+ int c = mpz_cmp(data, m.data);
+ if (c > 0) return 1;
+ if (c == 0) return 0;
+ return -1;
+}
+
+template<>
+inline int Z_NR<mpz_t>::sgn() const {
+ return mpz_sgn(data);
+}
+
+/** operator */
+template<>
+inline void Z_NR<mpz_t>::operator=(const Z_NR<mpz_t>& a) {
+ mpz_set(data, a.data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::operator=(const mpz_t& a) {
+ mpz_set(data, a);
+}
+
+template<>
+inline void Z_NR<mpz_t>::operator=(long a) {
+ mpz_set_si(data, a);
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator<(const Z_NR<mpz_t>& a) const {
+ return mpz_cmp(data, a.data) < 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator<(long a) const {
+ return mpz_cmp_si(data, a) < 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator>(const Z_NR<mpz_t>& a) const {
+ return mpz_cmp(data, a.data) > 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator>(long a) const {
+ return mpz_cmp_si(data, a) > 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator<=(const Z_NR<mpz_t>& a) const {
+ return mpz_cmp(data, a.data) <= 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator<=(long a) const {
+ return mpz_cmp_si(data, a) <= 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator>=(const Z_NR<mpz_t>& a) const {
+ return mpz_cmp(data, a.data) >= 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator>=(long a) const {
+ return mpz_cmp_si(data, a) >= 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator==(const Z_NR<mpz_t>& a) const {
+ return mpz_cmp(data, a.data) == 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator==(long a) const {
+ return mpz_cmp_si(data, a) == 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator!=(const Z_NR<mpz_t>& a) const {
+ return mpz_cmp(data, a.data) != 0;
+}
+
+template<>
+inline bool Z_NR<mpz_t>::operator!=(long a) const {
+ return mpz_cmp_si(data, a) != 0;
+}
+
+/** arithmetic */
+template<>
+inline void Z_NR<mpz_t>::add(const Z_NR<mpz_t>& a, const Z_NR<mpz_t>& b) {
+ mpz_add(data, a.data, b.data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::add_ui(const Z_NR<mpz_t>& a, unsigned int b) {
+ mpz_add_ui(data, a.data, b);
+}
+
+template<>
+inline void Z_NR<mpz_t>::sub(const Z_NR<mpz_t>& a, const Z_NR<mpz_t>& b) {
+ mpz_sub(data, a.data, b.data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::sub_ui(const Z_NR<mpz_t>& a, unsigned int b) {
+ mpz_sub_ui(data, a.data, b);
+}
+
+template<>
+inline void Z_NR<mpz_t>::neg(const Z_NR<mpz_t>& a) {
+ mpz_neg(data, a.data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::mul(const Z_NR<mpz_t>& a, const Z_NR<mpz_t>& b) {
+ mpz_mul(data, a.data, b.data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::mul_si(const Z_NR<mpz_t>& a, long b) {
+ mpz_mul_si(data, a.data, b);
+}
+
+template<>
+inline void Z_NR<mpz_t>::mul_ui(const Z_NR<mpz_t>& a, unsigned long b) {
+ mpz_mul_ui(data, a.data, b);
+}
+
+template<>
+inline void Z_NR<mpz_t>::mul_2si(const Z_NR<mpz_t>& a, long b) {
+ if (b >= 0)
+ mpz_mul_2exp(data, a.data, b);
+ else
+ mpz_div_2exp(data, a.data, -b);
+}
+
+template<>
+inline void Z_NR<mpz_t>::div_2si(const Z_NR<mpz_t>& a, long b) {
+ if (b >= 0)
+ mpz_div_2exp(data, a.data, b);
+ else
+ mpz_mul_2exp(data, a.data, -b);
+}
+
+template<>
+inline void Z_NR<mpz_t>::addmul(const Z_NR<mpz_t>& a, const Z_NR<mpz_t>& b) {
+ mpz_addmul(data, a.data, b.data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::addmul_ui(const Z_NR<mpz_t>& a, unsigned long b) {
+ mpz_addmul_ui(data, a.data, b);
+}
+
+template<>
+inline void Z_NR<mpz_t>::addmul_si(const Z_NR<mpz_t>& a, long b) {
+ if (b >= 0)
+ mpz_addmul_ui(data, a.data, static_cast<unsigned long>(b));
+ else
+ mpz_submul_ui(data, a.data, static_cast<unsigned long>(-b));
+}
+
+template<>
+inline void Z_NR<mpz_t>::submul(const Z_NR<mpz_t>& a, const Z_NR<mpz_t>& b) {
+ mpz_submul(data, a.data, b.data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::submul_ui(const Z_NR<mpz_t>& a,unsigned long b) {
+ mpz_submul_ui(data, a.data, b);
+}
+
+template<>
+inline void Z_NR<mpz_t>::abs(const Z_NR<mpz_t>& x) {
+ mpz_abs(data,x.data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::swap(Z_NR<mpz_t>& a) {
+ mpz_swap(data, a.data);
+}
+
+/** random numbers */
+template<>
+inline void Z_NR<mpz_t>::randb(int bits) {
+ mpz_urandomb(data, RandGen::get_gmp_state(), bits);
+ if (bits > 32){
+ unsigned long int tmp = mpz_get_ui(data);
+ gmp_randseed_ui(RandGen::gmp_state, tmp*tmp);
+ }
+}
+
+template<>
+inline void Z_NR<mpz_t>::randb_si(int bits) {
+ randb(bits);
+ if (RandGenInt::get_bit() < 0)
+ mpz_neg(data, data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::randm(const Z_NR<mpz_t>& max) {
+ mpz_urandomm(data, RandGen::get_gmp_state(), max.data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::randm_si(const Z_NR<mpz_t>& max) {
+ randm(max);
+ if (RandGenInt::get_bit() < 0)
+ mpz_neg(data, data);
+}
+
+template<>
+inline void Z_NR<mpz_t>::nextprime(const Z_NR<mpz_t>& nbr) {
+ mpz_nextprime(data, nbr.data);
+}
+
+
+/* operators Z_NR<mpz_t> */
+template<>
+inline ostream& operator<<(ostream& os, const Z_NR<mpz_t>& x) {
+ int size = mpz_sizeinbase(x.get_data(), 10) + 2;
+ char* s = new char[size];
+ mpz_get_str(s, 10, x.get_data());
+ os << s;
+ delete [] s;
+ return os;
+}
+
+template<>
+inline istream& operator>>(istream& is, Z_NR<mpz_t>& x) {
+ static string s;
+ char c;
+
+ s.clear();
+ if (!(is >> c)) return is;
+ if (c == '-') {
+ s += c;
+ if (!(is >> c)) return is;
+ }
+ if (!(c >= '0' && c <= '9')) {
+ is.setstate(ios::failbit);
+ return is;
+ }
+
+ do {
+ s += c;
+ } while (is.get(c) && c >= '0' && c <= '9');
+
+ if (is.fail()) return is;
+ if (is.eof())
+ is.clear();
+ else
+ is.putback(c);
+
+ if (mpz_set_str(x.get_data(), s.c_str(), 10)) {
+ is.setstate(ios::failbit);
+ }
+ return is;
+}
+
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* ---------------------------
+ Random generator for mpz_t
+ --------------------------- */
+
+#include <time.h>
+
+#ifndef FPLLL_NR_RAND_H
+#define FPLLL_NR_RAND_H
+
+FPLLL_BEGIN_NAMESPACE
+
+class RandGen {
+public:
+ static void init() {
+ initialized = true;
+ gmp_randinit_default(gmp_state);
+ }
+ static void init_with_seed(unsigned long seed) {
+ init();
+ gmp_randseed_ui(gmp_state, seed);
+ }
+ static void init_with_time() {
+ init();
+ gmp_randseed_ui(gmp_state, time(NULL));
+ }
+ static void init_with_time2() {
+ init();
+ struct timeval time;
+ gettimeofday(&time,NULL);
+ gmp_randseed_ui(gmp_state, (time.tv_sec * 1000)
+ + (time.tv_usec / 1000));
+ }
+ static bool get_initialized() {
+ return initialized;
+ }
+ static gmp_randstate_t& get_gmp_state() {
+ if (!initialized) init();
+ return gmp_state;
+ }
+ static gmp_randstate_t gmp_state;
+private:
+ static bool initialized;
+};
+
+
+class RandGenInt {
+public:
+ static void init() {
+ initialized = true;
+ srand(time(NULL));
+ }
+ static int get() {
+ if (!initialized)
+ init();
+ return rand();
+ }
+ static int get_bit() {
+ if (!initialized)
+ init();
+ if (rand() % 2 == 0)
+ return -1;
+ else
+ return 1;
+ }
+ static bool initialized;
+};
+
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_NUMVECT_H
+#define FPLLL_NUMVECT_H
+
+#include "fplll/nr/nr.h"
+#include <vector>
+
+FPLLL_BEGIN_NAMESPACE
+
+template<class T>
+void extend_vect(vector<T>& v, int size) {
+ if (static_cast<int>(v.size()) < size) {
+ v.resize(size);
+ }
+}
+
+template<class T>
+void reverse_by_swap(vector<T>& v, int first, int last) {
+ for (; first < last; first++, last--)
+ v[first].swap(v[last]);
+}
+
+template<class T>
+void rotate_by_swap(vector<T>& v, int first, int middle, int last) {
+ // Algorithm from STL code
+ reverse_by_swap(v, first, middle - 1);
+ reverse_by_swap(v, middle, last);
+ for (; first < middle && middle <= last; first++, last--) {
+ v[first].swap(v[last]);
+ }
+ if (first == middle)
+ reverse_by_swap(v, middle, last);
+ else
+ reverse_by_swap(v, first, middle - 1);
+}
+
+template<class T>
+void rotate_left_by_swap(vector<T>& v, int first, int last) {
+ FPLLL_DEBUG_CHECK(0 <= first && first <= last
+ && last < static_cast<int>(v.size()));
+ for (int i = first; i < last; i++) {
+ v[i].swap(v[i + 1]);
+ }
+}
+
+template<class T>
+void rotate_right_by_swap(vector<T>& v, int first, int last) {
+ FPLLL_DEBUG_CHECK(0 <= first && first <= last
+ && last < static_cast<int>(v.size()));
+ for (int i = last - 1; i >= first; i--) {
+ v[i].swap(v[i + 1]);
+ }
+}
+
+/** Prints a vector on stream os. */
+template<class T>
+ostream& operator<<(ostream& os, const vector<T>& v) {
+ os << "[";
+ int n = v.size();
+ for (int i = 0; i < n; i++) {
+ if (i > 0) os << " ";
+ os << v[i];
+ }
+ os << "]";
+ return os;
+}
+
+/** Reads a vector from stream is. */
+template<class T>
+istream& operator>>(istream& is, vector<T>& v) {
+ char c;
+ v.clear();
+ if (!(is >> c)) return is;
+ if (c != '[') {
+ is.setstate(ios::failbit);
+ return is;
+ }
+ while (is >> c && c != ']') {
+ is.putback(c);
+ v.resize(v.size() + 1);
+ if (!(is >> v.back())) {
+ v.pop_back();
+ return is;
+ }
+ }
+ return is;
+}
+
+template<class T>
+void gen_zero_vect(vector<T>& v, int n) {
+ v.resize(n);
+ fill(v.begin(), v.end(), 0);
+}
+
+
+
+template<class T>
+class NumVect;
+
+template<class T>
+ostream& operator<<(ostream& os, const NumVect<T>& v);
+
+template<class T>
+istream& operator>>(istream& is, NumVect<T>& v);
+
+
+
+template<class T>
+class NumVect {
+public:
+ typedef typename vector<T>::iterator iterator;
+
+ NumVect() {}
+ NumVect(const NumVect& v) : data(v.data) {}
+ NumVect(int size) : data(size) {} // Initial content is undefined
+ NumVect(int size, const T& t) : data(size, t) {}
+
+ void operator=(const NumVect& v) {
+ if (this != &v)
+ data = v.data;
+ }
+ void swap(NumVect& v) {
+ data.swap(v.data);
+ }
+
+ const iterator begin() {
+ return data.begin();
+ }
+ iterator end() {
+ return data.end();
+ }
+ int size() const {
+ return data.size();
+ }
+ bool empty() const {
+ return data.empty();
+ }
+ void resize(int size) {
+ data.resize(size);
+ }
+ void resize(int size, const T& t) {
+ data.resize(size, t);
+ }
+ void gen_zero(int size) {
+ data.resize(size);
+ fill(0);
+ }
+ void push_back(const T& t) {
+ data.push_back(t);
+ }
+ void pop_back() {
+ data.pop_back();
+ }
+ T& front() {
+ return data.front();
+ }
+ const T& front() const {
+ return data.front();
+ }
+ T& back() {
+ return data.back();
+ }
+ const T& back() const {
+ return data.back();
+ }
+ void extend(int maxSize) {
+ if (size() < maxSize)
+ data.resize(maxSize);
+ }
+ void clear() {
+ data.clear();
+ }
+ T& operator[](int i) {
+ return data[i];
+ }
+ const T& operator[](int i) const {
+ return data[i];
+ }
+
+ void add(const NumVect<T>& v, int n);
+ void add(const NumVect<T>& v) {add(v, size());}
+ void sub(const NumVect<T>& v, int n);
+ void sub(const NumVect<T>& v) {sub(v, size());}
+ void mul(const NumVect<T>& v, int n, T c);
+ void mul(const NumVect<T>& v, T c) {mul(v, size(), c);}
+ void addmul(const NumVect<T>& v, T x, int n);
+ void addmul(const NumVect<T>& v, T x) {addmul(v, x, size());}
+ void addmul_2exp(const NumVect<T>& v, const T& x, long expo, T& tmp) {
+ addmul_2exp(v, x, expo, size(), tmp);
+ }
+ void addmul_2exp(const NumVect<T>& v, const T& x, long expo, int n, T& tmp);
+ void addmul_si(const NumVect<T>& v, long x) {addmul_si(v, x, size());}
+ void addmul_si(const NumVect<T>& v, long x, int n);
+ void addmul_si_2exp(const NumVect<T>& v, long x,
+ long expo, T& tmp) {
+ addmul_si_2exp(v, x, expo, size(), tmp);
+ }
+ void addmul_si_2exp(const NumVect<T>& v, long x,
+ long expo, int n, T& tmp);
+
+ /** (v[first],...,v[last]) becomes (v[first+1],...,v[last],v[first]) */
+ void rotate_left(int first, int last) {
+ rotate_left_by_swap(data, first, last);
+ }
+
+ /** (v[first],...,v[last]) becomes (v[last],v[first],...,v[last-1]) */
+ void rotate_right(int first, int last) {
+ rotate_right_by_swap(data, first, last);
+ }
+
+ /** Returns expo >= 0 such that all elements are < 2^expo. */
+ long get_max_exponent();
+
+ void fill(long value);
+
+ bool is_zero(int fromCol = 0) const;
+
+ int size_nz() const;
+
+ friend ostream& operator<< <T>(ostream& os, const NumVect<T>& v);
+ friend istream& operator>> <T>(istream& is, NumVect<T>& v);
+
+private:
+ vector<T> data;
+};
+
+template<class T>
+void NumVect<T>::add(const NumVect<T>& v, int n) {
+ FPLLL_DEBUG_CHECK(n <= size() && size() == v.size() && v.is_zero(n));
+ for (int i = n - 1; i >= 0; i--)
+ data[i].add(data[i], v[i]);
+}
+
+template<class T>
+void NumVect<T>::sub(const NumVect<T>& v, int n) {
+ FPLLL_DEBUG_CHECK(n <= size() && size() == v.size() && v.is_zero(n));
+ for (int i = n - 1; i >= 0; i--)
+ data[i].sub(data[i], v[i]);
+}
+
+template<class T>
+void NumVect<T>::mul(const NumVect<T>& v, int n, T c) {
+ FPLLL_DEBUG_CHECK(n <= size() && size() == v.size() && v.is_zero(n));
+ for (int i = n - 1; i >= 0; i--)
+ data[i].mul(v[i], c);
+}
+
+template<class T>
+void NumVect<T>::addmul(const NumVect<T>& v, T x, int n) {
+ FPLLL_DEBUG_CHECK(n <= size() && size() == v.size() && v.is_zero(n));
+ for (int i = n - 1; i >= 0; i--)
+ data[i].addmul(v[i], x);
+}
+
+template<class T>
+void NumVect<T>::addmul_2exp(const NumVect<T>& v, const T& x,
+ long expo, int n, T& tmp) {
+ FPLLL_DEBUG_CHECK(n <= size() && size() == v.size() && v.is_zero(n));
+ for (int i = n - 1; i >= 0; i--) {
+ tmp.mul(v[i], x);
+ tmp.mul_2si(tmp, expo);
+ data[i].add(data[i], tmp);
+ }
+}
+
+template<class T>
+void NumVect<T>::addmul_si(const NumVect<T>& v, long x, int n) {
+ FPLLL_DEBUG_CHECK(n <= size() && size() == v.size() && v.is_zero(n));
+ for (int i = n - 1; i >= 0; i--)
+ data[i].addmul_si(v[i], x);
+}
+
+template<class T>
+void NumVect<T>::addmul_si_2exp(const NumVect<T>& v, long x,
+ long expo, int n, T& tmp) {
+ FPLLL_DEBUG_CHECK(n <= size() && size() == v.size() && v.is_zero(n));
+ for (int i = n - 1; i >= 0; i--) {
+ tmp.mul_si(v[i], x);
+ tmp.mul_2si(tmp, expo);
+ data[i].add(data[i], tmp);
+ }
+}
+
+template<class T>
+long NumVect<T>::get_max_exponent() {
+ long max_expo = 0;
+ for (int i = 0; i < size(); i++) {
+ max_expo = max(max_expo, data[i].exponent());
+ }
+ return max_expo;
+}
+
+template<class T>
+void NumVect<T>::fill(long value) {
+ for (int i = 0; i < size(); i++) {
+ data[i] = value;
+ }
+}
+
+template<class T>
+bool NumVect<T>::is_zero(int fromCol) const {
+ for (int i = fromCol; i < size(); i++) {
+ if (!data[i].is_zero()) return false;
+ }
+ return true;
+}
+
+template<class T>
+int NumVect<T>::size_nz() const {
+ int i;
+ for (i = data.size(); i > 0; i--) {
+ if (data[i - 1] != 0) break;
+ }
+ return i;
+}
+
+
+
+
+template<class T>
+void dot_product(T& result, const NumVect<T>& v1,
+ const NumVect<T>& v2, int n) {
+ FPLLL_DEBUG_CHECK(n > 0 && n <= v1.size() && v1.size() == v2.size()
+ && (v1.is_zero(n) || v2.is_zero(n)));
+ result.mul(v1[0], v2[0]);
+ for (int i = 1; i < n; i++) {
+ result.addmul(v1[i], v2[i]);
+ }
+}
+
+template<class T>
+inline void dot_product(T& result, const NumVect<T>& v1, const NumVect<T>& v2) {
+ dot_product(result, v1, v2, v1.size());
+}
+
+template<class T>
+inline void squared_norm(T& result, const NumVect<T>& v) {
+ dot_product(result, v, v);
+}
+
+/** Prints a NumVect on stream os. */
+template<class T>
+ostream& operator<<(ostream& os, const NumVect<T>& v) {
+ return os << v.data;
+}
+
+/** Reads a NumVect from stream is. */
+template<class T>
+istream& operator>>(istream& is, NumVect<T>& v) {
+ return is >> v.data;
+}
+
+typedef vector<Integer> IntVect;
+typedef vector<Float> FloatVect;
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2015-2016 Martin Albrecht, Leo Ducas.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+
+#include "ballvol.const"
+#include "factorial.const"
+#include "pruner.h"
+#include "gso.h"
+
+ FPLLL_BEGIN_NAMESPACE
+
+template <class FT>
+ double svp_probability(const Pruning &pruning){
+ Pruner<FT> pru;
+ return pru.svp_probability(pruning.coefficients);
+ }
+
+template <class FT>
+ double svp_probability(const vector<double> &pr){
+ Pruner<FT> pru;
+ return pru.svp_probability(pr);
+ }
+
+template <class FT> void Pruner<FT>::set_tabulated_consts()
+ {
+ for (int i = 0; i < PRUNER_MAX_N; ++i)
+ {
+ tabulated_factorial[i] = pre_factorial[i];
+ tabulated_ball_vol[i] = pre_ball_vol[i];
+ }
+ return;
+ }
+
+/// PUBLIC METHODS
+
+template <class FT>
+template <class GSO_ZT, class GSO_FT>
+void Pruner<FT>::load_basis_shape(MatGSO<GSO_ZT, GSO_FT> &m, int start_row, int end_row, int /*reset_renorm*/)
+ {
+ if (!end_row)
+ {
+ end_row = m.d;
+ }
+ n = end_row - start_row;
+ d = n / 2;
+ if (!d)
+ {
+ throw std::runtime_error("Inside Pruner : Needs a dimension n>1");
+ }
+ vector<double> gso_sq_norms;
+ GSO_FT f;
+ for (size_t i = 0; i < n; ++i)
+ {
+ m.get_r(f, start_row+i, start_row+i);
+ gso_sq_norms.emplace_back(f.get_d());
+ }
+ load_basis_shape(gso_sq_norms);
+ }
+
+template <class FT> void Pruner<FT>::load_basis_shape(const vector<double> &gso_sq_norms, int reset_renorm)
+ {
+ n = gso_sq_norms.size();
+ d = n / 2;
+ if (!d)
+ {
+ throw std::runtime_error("Inside Pruner : Needs a dimension n>1");
+ }
+ FT logvol, tmp;
+ logvol = 0.0;
+ for (size_t i = 0; i < n; ++i)
+ {
+ r[i] = gso_sq_norms[n - 1 - i];
+ logvol += log(r[i]);
+ }
+ if (reset_renorm){
+ renormalization_factor = exp(logvol / (-1.0 * n));
+ }
+
+ for (size_t i = 0; i < n; ++i)
+ {
+ r[i] *= renormalization_factor;
+ }
+ tmp = 1.;
+ for (size_t i = 0; i < 2 * d; ++i)
+ {
+ tmp *= sqrt(r[i]);
+ ipv[i] = 1.0 / tmp;
+ }
+ }
+
+template <class FT>
+ void Pruner<FT>::load_basis_shapes(const vector<vector<double>> &gso_sq_norms_vec)
+ {
+ vec sum_ipv;
+ n = gso_sq_norms_vec[0].size();
+ for (size_t i = 0; i < n; ++i)
+ {
+ sum_ipv[i] = 0.;
+ }
+ int count = gso_sq_norms_vec.size();
+ for (int k = 0; k < count; ++k)
+ {
+ if (gso_sq_norms_vec[k].size() != n)
+ {
+ throw std::runtime_error("Inside Pruner : loading several bases with different dimensions");
+ }
+ int reset_renorm = (k==0);
+ load_basis_shape(gso_sq_norms_vec[k], reset_renorm);
+ for (size_t i = 0; i < n; ++i)
+ {
+ sum_ipv[i] += ipv[i];
+ }
+ }
+ for (size_t i = 0; i < n; ++i){
+ ipv[i] = sum_ipv[i] / (1.0 * count);
+ }
+ }
+
+template <class FT>
+template <class GSO_ZT, class GSO_FT>
+ void Pruner<FT>::load_basis_shapes(vector<MatGSO<GSO_ZT, GSO_FT> >&m_vec, int start_row, int end_row)
+ {
+ vec sum_ipv;
+ if (!end_row)
+ {
+ end_row = m_vec[0].d;
+ }
+ n = end_row - start_row;
+ d = n / 2;
+
+ for (size_t i = 0; i < n; ++i)
+ {
+ sum_ipv[i] = 0.;
+ }
+ int count = m_vec.size();
+ for (int k = 0; k < count; ++k)
+ {
+ int reset_renorm = (k==0);
+ load_basis_shape(m_vec[k], start_row, end_row, reset_renorm);
+ for (size_t i = 0; i < n; ++i)
+ {
+ sum_ipv[i] += ipv[i];
+ }
+ }
+ for (size_t i = 0; i < n; ++i){
+ ipv[i] = sum_ipv[i] / (1.0 * count);
+ }
+ }
+
+
+template <class FT>
+void Pruner<FT>::optimize_coefficients(/*io*/ vector<double> &pr, /*i*/ const int reset)
+ {
+ evec b;
+ if (reset)
+ {
+ init_coefficients(b);
+ enforce_bounds(b);
+ }
+ else
+ {
+ load_coefficients(b, pr);
+ }
+ descent(b);
+ save_coefficients(pr, b);
+ }
+
+// PRIVATE METHODS
+
+template <class FT> void Pruner<FT>::load_coefficients(/*o*/ evec &b, /*i*/ const vector<double> &pr)
+ {
+ for (size_t i = 0; i < d; ++i)
+ {
+ b[i] = pr[n - 1 - 2 * i];
+ }
+ if (enforce_bounds(b))
+ {
+ throw std::runtime_error("Inside Pruner : Ill formed pruning coefficients (must be decreasing, "
+ "starting with two 1.0)");
+ }
+ }
+
+template <class FT> int Pruner<FT>::check_basis_loaded()
+ {
+ if (d)
+ {
+ return 0;
+ }
+ throw std::runtime_error("Inside Pruner : No basis loaded");
+ return 1;
+ }
+
+template <class FT> void Pruner<FT>::save_coefficients(/*o*/ vector<double> &pr, /*i*/ const evec &b)
+ {
+ pr.resize(n);
+ for (size_t i = 0; i < d; ++i)
+ {
+ pr[n - 1 - 2 * i] = b[i].get_d();
+ pr[n - 2 - 2 * i] = b[i].get_d();
+ }
+ pr[0] = 1.;
+ }
+
+template <class FT> inline int Pruner<FT>::enforce_bounds(/*io*/ evec &b, /*opt i*/ const int j)
+ {
+ int status = 0;
+ if (b[d - 1] < .999)
+ {
+ status = 1;
+ }
+ b[d - 1] = 1;
+ for (size_t i = 0; i < d; ++i)
+ {
+ if (b[i] > 1.0001)
+ {
+ status =1;
+ }
+ if (b[i] > 1)
+ {
+ b[i] = 1.0;
+ }
+ if (b[i] <= .1)
+ b[i] = .1;
+ }
+ for (size_t i = j; i < d - 1; ++i)
+ {
+ if (b[i + 1] < b[i])
+ {
+ if (b[i + 1] + .001 < b[i] )
+ {
+ status = 1;
+ }
+ b[i + 1] = b[i];
+ }
+ }
+ for (int i = j - 1; i >= 0; --i)
+ {
+ if (b[i + 1] < b[i])
+ {
+ if (b[i + 1] + .001 < b[i] )
+ {
+ status = 1;
+ }
+ b[i] = b[i + 1];
+ }
+ }
+ return status;
+ }
+
+template <class FT> inline FT Pruner<FT>::eval_poly(const int ld, /*i*/ const poly &p, const FT x)
+ {
+ FT acc;
+ acc = 0.0;
+ for (int i = ld; i >= 0; --i)
+ {
+ acc = acc * x;
+ acc = acc + p[i];
+ }
+ return acc;
+ }
+
+template <class FT> inline void Pruner<FT>::integrate_poly(const int ld, /*io*/ poly &p)
+ {
+ for (int i = ld; i >= 0; --i)
+ {
+ FT tmp;
+ tmp = i + 1.;
+ p[i + 1] = p[i] / tmp;
+ }
+ p[0] = 0.0;
+ }
+
+template <class FT> inline FT Pruner<FT>::relative_volume(const int rd, /*i*/ const evec &b)
+ {
+ poly P;
+ P[0] = 1;
+ int ld = 0;
+ for (int i = rd - 1; i >= 0; --i)
+ {
+ integrate_poly(ld, P);
+ ld++;
+ P[0] = -1.0 * eval_poly(ld, P, b[i] / b[rd - 1]);
+ }
+ if (rd % 2)
+ {
+ return -1.0 * P[0] * tabulated_factorial[rd];
+ }
+ else
+ {
+ return P[0] * tabulated_factorial[rd];
+ }
+ }
+
+template <class FT> inline FT Pruner<FT>::single_enum_cost(/*i*/ const evec &b)
+ {
+ vec rv; // Relative volumes at each level
+
+ for (size_t i = 0; i < d; ++i)
+ {
+
+ rv[2 * i + 1] = relative_volume(i + 1, b);
+ }
+
+ rv[0] = 1;
+ for (size_t i = 1; i < d; ++i)
+ {
+ rv[2 * i] = sqrt(rv[2 * i - 1] * rv[2 * i + 1]); // Interpolate even values
+ }
+
+ FT total;
+ total = 0.0;
+ FT normalized_radius;
+ normalized_radius = sqrt(enumeration_radius * renormalization_factor);
+
+ FT normalized_radius_pow = normalized_radius;
+ for (size_t i = 0; i < 2 * d; ++i)
+ {
+ FT tmp;
+
+ tmp = normalized_radius_pow * rv[i] * tabulated_ball_vol[i + 1] *
+ sqrt(pow_si(b[i / 2], 1 + i)) * ipv[i];
+ normalized_radius_pow *= normalized_radius;
+ total += tmp;
+ }
+ total /= symmetry_factor;
+ return total;
+}
+
+template <class FT> inline FT Pruner<FT>::svp_probability(/*i*/ const evec &b)
+{
+
+ evec b_minus_db;
+ FT dx = shell_ratio;
+
+ for (size_t i = 0; i < d; ++i)
+ {
+ b_minus_db[i] = b[i] / (dx * dx);
+ if (b_minus_db[i] > 1)
+ b_minus_db[i] = 1;
+ }
+
+ FT vol = relative_volume(d, b);
+ FT dxn = pow_si(dx, 2 * d);
+ FT dvol = dxn * relative_volume(d, b_minus_db) - vol;
+ return dvol / (dxn - 1.);
+}
+
+template <class FT> inline FT Pruner<FT>::repeated_enum_cost(/*i*/ const evec &b)
+{
+
+ FT probability = svp_probability(b);
+
+ if (probability >= target_probability)
+ return single_enum_cost(b);
+
+ FT trials = log(1.0 - target_probability) / log(1.0 - probability);
+ return single_enum_cost(b) * trials + preproc_cost * (trials - 1.0);
+}
+
+template <class FT>
+void Pruner<FT>::repeated_enum_cost_gradient(/*i*/ const evec &b, /*o*/ evec &res)
+{
+ evec bpDb;
+ res[d - 1] = 0.0;
+ for (size_t i = 0; i < d - 1; ++i)
+ {
+ bpDb = b;
+ bpDb[i] *= (1.0 - epsilon);
+ enforce_bounds(bpDb, i);
+ FT X = repeated_enum_cost(bpDb);
+
+ bpDb = b;
+ bpDb[i] *= (1.0 + epsilon);
+ enforce_bounds(bpDb, i);
+ FT Y = repeated_enum_cost(bpDb);
+ res[i] = (log(X) - log(Y)) / epsilon;
+ }
+}
+
+template <class FT> int Pruner<FT>::improve(/*io*/ evec &b)
+{
+
+ FT cf = repeated_enum_cost(b);
+ FT old_cf = cf;
+ evec newb;
+ evec gradient;
+ repeated_enum_cost_gradient(b, gradient);
+ FT norm = 0.0;
+
+ // normalize the gradient
+ for (size_t i = 0; i < d; ++i)
+ {
+ norm += gradient[i] * gradient[i];
+ newb[i] = b[i];
+ }
+
+ norm /= (1.0 * (1. * d));
+ norm = sqrt(norm);
+ if (norm <= 0.)
+ return 0;
+
+ for (size_t i = 0; i < d; ++i)
+ {
+ gradient[i] /= norm;
+ }
+ FT new_cf;
+
+ FT step = min_step;
+ size_t i;
+
+ for (i = 0;; ++i)
+ {
+ for (size_t i = 0; i < d; ++i)
+ {
+ newb[i] = newb[i] + step * gradient[i];
+ }
+
+ enforce_bounds(newb);
+ new_cf = repeated_enum_cost(newb);
+
+ if (new_cf >= cf)
+ {
+ break;
+ }
+ b = newb;
+ cf = new_cf;
+ step *= step_factor;
+ }
+ if (cf > old_cf * min_cf_decrease)
+ {
+ return 0;
+ }
+ return i;
+}
+
+
+template <class FT> void Pruner<FT>::descent(/*io*/ evec &b)
+{
+
+
+ if ((descent_method == PRUNER_METHOD_GRADIENT) || (descent_method == PRUNER_METHOD_HYBRID))
+ {
+ while (improve(b))
+ {
+ };
+ };
+ if ((descent_method == PRUNER_METHOD_NM) || (descent_method == PRUNER_METHOD_HYBRID))
+ {
+ while (nelder_mead(b))
+ {
+ };
+ };
+}
+
+template <class FT> void Pruner<FT>::init_coefficients(evec &b)
+{
+ for (size_t i = 0; i < d; ++i)
+ {
+ b[i] = .1 + ((1. * i) / d);
+ }
+ enforce_bounds(b);
+}
+
+// Nelder-Mead method. Following the notation of
+// https://en.wikipedia.org/wiki/Nelder%E2%80%93Mead_method
+
+#define ND_ALPHA 1
+#define ND_GAMMA 2
+#define ND_RHO 0.5
+#define ND_SIGMA 0.5
+#define ND_INIT_WIDTH 0.05
+
+template<class FT> int Pruner<FT>::nelder_mead(/*io*/ evec &b){
+size_t l = d+1;
+ evec * bs = new evec[l]; // The simplexe (d+1) vector of dim d
+ FT * fs = new FT[l]; // Values of f at the simplex vertices
+
+ for (size_t i = 0; i < l; ++i) // Intialize the simplex
+ {
+ bs[i] = b; // One of the is b
+ if (i<d){
+ if (bs[i][i] <.5)
+ {
+ bs[i][i] += ND_INIT_WIDTH; // the other are perturbations on b of +/- const
+ }
+ else
+ {
+ bs[i][i] -= ND_INIT_WIDTH; // sign is chosen to avoid getting close to the border of the domain
+ }
+ }
+ enforce_bounds(bs[i]);
+ fs[i] = repeated_enum_cost(bs[i]); // initialize the value
+ }
+
+ FT init_cf = fs[l-1];
+
+
+ evec bo; // centeroid
+ FT fo; // value at the centroid
+
+ FT fs_maxi_last; // value of the last centroid
+
+ if (verbosity)
+ {
+ cerr << " Starting nelder_mead cf = " << init_cf << " proba = " << svp_probability(b) << endl;
+ }
+ unsigned int counter = 0;
+ size_t mini = 0, maxi = 0, maxi2 = 0;
+ while(1) // Main loop
+ {
+ mini = maxi = maxi2 = 0;
+ for (size_t i = 0; i < d; ++i) bo[i] = bs[0][i];
+ ////////////////
+ // step 1. and 2. : Order and centroid
+ ////////////////
+ for (size_t i = 1; i < l; ++i) // determine min and max, and centroid
+ {
+ if (fs[i]<fs[mini]) mini = i;
+ if (fs[i]>fs[maxi]) maxi = i;
+ for (size_t j = 0; j < d; ++j) bo[j] += bs[i][j];
+ }
+ FT tmp;
+ tmp = l;
+ for (size_t i = 0; i < d; ++i) bo[i] /= tmp; // Centroid calculated
+
+ if (!counter)
+ fs_maxi_last = fs[maxi];
+
+ if (!maxi) maxi2++;
+ for (size_t i = 1; i < l; ++i) // determine min and max, and centroid
+ {
+ if ((fs[i]>fs[maxi2]) && (i != maxi)) maxi2 = i;
+ }
+
+
+ if (enforce_bounds(bo))
+ {
+ throw std::runtime_error("Concavity says that should not happen.");
+ }
+
+ if (verbosity){
+ cerr << " melder_mead step " << counter << "cf = "
+ << fs[mini] << " proba = " << svp_probability(bs[mini]) << " cost = " << single_enum_cost(bs[mini]) << endl;
+ for (size_t i = 0; i < d; ++i)
+ {
+ cerr << ceil(bs[mini][i].get_d()*1000) << " ";
+ }
+ cerr << endl;
+ }
+
+ ////////////////
+ // Stopping condition (Not documented on wikipedia, improvising)
+ ////////////////
+
+ counter++;
+ if (! (counter % l)) // Every l steps, we check progress and stop if none is done
+ {
+ if (fs[maxi] > fs_maxi_last * min_cf_decrease) {
+ break;
+ }
+ fs_maxi_last = fs[maxi];
+ }
+
+ for (size_t i = 0; i < l; ++i) // determine second best
+ {
+ if ((fs[i]>fs[maxi2]) && (i != maxi)) maxi2 = i;
+ }
+
+ if (verbosity){
+ cerr << mini << " " << maxi2 << " " << maxi << endl;
+ cerr << fs[mini] << " < " << fs[maxi2] << " < " << fs[maxi] << " | " << endl;
+ }
+
+
+ ////////////////
+ // step 3. Reflection
+ ////////////////
+
+ evec br; // reflected point
+ FT fr; // Value at the reflexion point
+ for (size_t i = 0; i < d; ++i)
+ br[i] = bo[i] + ND_ALPHA * (bo[i] - bs[maxi][i]);
+ enforce_bounds(br);
+ fr = repeated_enum_cost(br);
+ if (verbosity){
+ cerr << "fr " << fr << endl;
+ }
+
+ if ((fs[mini] <= fr) && (fr < fs[maxi2]))
+ {
+ bs[maxi] = br;
+ fs[maxi] = fr;
+ if (verbosity){
+ cerr << " Reflection " << endl;
+ }
+ continue; // Go to step 1.
+ }
+
+ ////////////////
+ // step 4. Expansion
+ ////////////////
+
+ if (fr < fs[mini]){
+ evec be;
+ FT fe;
+ for (size_t i = 0; i < d; ++i)
+ be[i] = bo[i] + ND_GAMMA * (br[i] - bo[i]);
+ enforce_bounds(be);
+ fe = repeated_enum_cost(be);
+ if (verbosity){
+ cerr << "fe " << fe << endl;
+ }
+ if (fe < fr)
+ {
+ bs[maxi] = be;
+ fs[maxi] = fe;
+ if (verbosity){
+ cerr << " Expansion A " << endl;
+ }
+ continue; // Go to step 1.
+ }
+ else
+ {
+ bs[maxi] = br;
+ fs[maxi] = fr;
+ if (verbosity){
+ cerr << " Expansion B " << endl;
+ }
+ continue; // Go to step 1.
+ }
+ }
+
+ ////////////////
+ // step 5. Contraction
+ ////////////////
+
+ if ( ! (fr >= fs[maxi2])) // Here, it is certain that fr >= fs[maxi2]
+ {
+ throw std::runtime_error("Something certain is false in Nelder-Mead.");
+ }
+
+ evec bc;
+ FT fc;
+ for (size_t i = 0; i < d; ++i)
+ bc[i] = bo[i] + ND_RHO * (bs[maxi][i] - bo[i]);
+ enforce_bounds(bc);
+ fc = repeated_enum_cost(bc);
+ if (verbosity){
+ cerr << "fc " << fc << endl;
+ }
+ if (fc < fs[maxi])
+ {
+ bs[maxi] = bc;
+ fs[maxi] = fc;
+ if (verbosity){
+ cerr << " Contraction " << endl;
+ }
+ continue; // Go to step 1.
+ }
+
+ ////////////////
+ // step 6. Shrink
+ ////////////////
+ if (verbosity){
+ cerr << " Shrink " << endl;
+ }
+ for (size_t j = 0; j < l; ++j)
+ {
+ for (size_t i = 0; i < d; ++i)
+ {
+ bs[j][i] = bs[mini][i] + ND_SIGMA * (bs[j][i] - bs[mini][i]);
+ }
+ enforce_bounds(bs[j]);
+ fs[j] = repeated_enum_cost(bs[j]); // initialize the value
+ }
+}
+
+b = bs[mini];
+int improved = (init_cf * min_cf_decrease ) > fs[mini];
+
+if (verbosity){
+ cerr << "Done nelder_mead, after " << counter << " steps" << endl;
+ cerr << "Final cf = " << fs[mini] << " proba = " << svp_probability(b) << endl;
+ if (improved)
+ {cerr << "Progress has been made: init cf = " << init_cf << endl;}
+ cerr << endl;
+
+}
+
+
+delete[] fs;
+delete[] bs;
+
+ return improved; // Has MN made any progress
+
+}
+
+
+
+
+
+template <class FT, class GSO_ZT, class GSO_FT>
+void prune(/*output*/ vector<double> &pr, double &probability,
+ /*inputs*/ const double enumeration_radius, const double preproc_cost,
+const double target_probability, MatGSO<GSO_ZT, GSO_FT> &m,
+const int descent_method, int start_row, int end_row)
+{
+ cerr << "LOADING METHOD" << descent_method << endl;
+ Pruner<FP_NR<double> > pruner(enumeration_radius, preproc_cost, target_probability, descent_method);
+ pruner.load_basis_shape(m, start_row, end_row);
+ pruner.optimize_coefficients(pr);
+ probability = pruner.svp_probability(pr);
+}
+
+template <class FT, class GSO_ZT, class GSO_FT>
+Pruning prune(/*inputs*/ const double enumeration_radius, const double preproc_cost,
+const double target_probability, MatGSO<GSO_ZT, GSO_FT> &m,
+const int descent_method, int start_row, int end_row)
+{
+ cerr << "LOADING METHOD" << descent_method << endl;
+ Pruning pruning;
+ if (!end_row)
+ end_row = m.d;
+ Pruner<FP_NR<double> > pruner(enumeration_radius, preproc_cost, target_probability, descent_method);
+ pruner.load_basis_shape(m, start_row, end_row);
+
+ long expo = 0;
+ FT gh_radius = m.get_r_exp(start_row, start_row, expo);
+ FT root_det = m.get_root_det(start_row, end_row);
+ gaussian_heuristic(gh_radius, expo, end_row - start_row, root_det, 1.0);
+
+ pruner.optimize_coefficients(pruning.coefficients);
+ pruning.probability = pruner.svp_probability(pruning.coefficients);
+ pruning.radius_factor = enumeration_radius/(gh_radius.get_d() * pow(2,expo) );
+ return pruning;
+}
+
+
+template <class FT, class GSO_ZT, class GSO_FT>
+Pruning prune(/*inputs*/ const double enumeration_radius, const double preproc_cost,
+const double target_probability, vector<MatGSO<GSO_ZT, GSO_FT> > &m,
+const int descent_method, int start_row, int end_row)
+{
+ Pruning pruning;
+ if (!end_row)
+ end_row = m[0].d;
+ Pruner<FP_NR<double> > pruner(enumeration_radius, preproc_cost, target_probability, descent_method);
+ pruner.load_basis_shapes(m, start_row, end_row);
+
+
+ FT gh_radius = 0.0;
+ FT root_det = 0.0;
+ for(auto it = m.begin(); it != m.end(); ++it)
+ {
+ FT tmp;
+ it->get_r(tmp, start_row, start_row);
+ gh_radius += tmp;
+ root_det += it->get_root_det(start_row, end_row);
+ }
+ gh_radius /= m.size();
+ root_det /= m.size();
+
+ int expo = 0;
+ gaussian_heuristic(gh_radius, expo, end_row - start_row, root_det, 1.0);
+
+ pruner.optimize_coefficients(pruning.coefficients);
+ pruning.probability = pruner.svp_probability(pruning.coefficients);
+ pruning.radius_factor = enumeration_radius/(gh_radius.get_d() * pow(2,expo) );
+ return pruning;
+}
+
+
+
+
+
+/** instantiate functions **/
+
+template class Pruner<FP_NR<double> >;
+template void prune<FP_NR<double>, Z_NR<mpz_t>, FP_NR<double> > (vector<double> &, double &, const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<double> >&, int, int, int);
+template Pruning prune<FP_NR<double>, Z_NR<mpz_t>, FP_NR<double> > (const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<double> >&, int, int, int);
+template Pruning prune<FP_NR<double>, Z_NR<mpz_t>, FP_NR<double> > (const double, const double, const double, vector<MatGSO<Z_NR<mpz_t>, FP_NR<double> > >&, int, int, int);
+template double svp_probability<FP_NR<double> >(const Pruning &);
+template double svp_probability<FP_NR<double> >(const vector<double> &);
+
+#ifdef FPLLL_WITH_LONG_DOUBLE
+template class Pruner<FP_NR<long double> >;
+template void prune<FP_NR<long double>, Z_NR<mpz_t>, FP_NR<long double> > (vector<double> &, double &, const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<long double> >&, int, int, int);
+template Pruning prune<FP_NR<long double>, Z_NR<mpz_t>, FP_NR<long double> > (const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<long double> >&, int, int, int);
+template Pruning prune<FP_NR<long double>, Z_NR<mpz_t>, FP_NR<long double> > (const double, const double, const double, vector<MatGSO<Z_NR<mpz_t>, FP_NR<long double> > >&, int, int, int);
+template double svp_probability<FP_NR<long double> >(const Pruning &);
+template double svp_probability<FP_NR<long double> >(const vector<double> &);
+#endif
+
+#ifdef FPLLL_WITH_QD
+template class Pruner<FP_NR<dd_real> >;
+template void prune<FP_NR<dd_real>, Z_NR<mpz_t>, FP_NR<dd_real> > (vector<double> &, double &, const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<dd_real> >&, int, int, int);
+template Pruning prune<FP_NR<dd_real>, Z_NR<mpz_t>, FP_NR<dd_real> > (const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<dd_real> >&, int, int, int);
+template Pruning prune<FP_NR<dd_real>, Z_NR<mpz_t>, FP_NR<dd_real> > (const double, const double, const double, vector<MatGSO<Z_NR<mpz_t>, FP_NR<dd_real> > >&, int, int, int);
+template double svp_probability<FP_NR<dd_real> >(const Pruning &);
+template double svp_probability<FP_NR<dd_real> >(const vector<double> &);
+
+template class Pruner<FP_NR<qd_real> >;
+template void prune<FP_NR<qd_real>, Z_NR<mpz_t>, FP_NR<qd_real> > (vector<double> &, double &, const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<qd_real> >&, int, int, int);
+template Pruning prune<FP_NR<qd_real>, Z_NR<mpz_t>, FP_NR<qd_real> > (const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<qd_real> >&, int, int, int);
+template Pruning prune<FP_NR<qd_real>, Z_NR<mpz_t>, FP_NR<qd_real> > (const double, const double, const double, vector<MatGSO<Z_NR<mpz_t>, FP_NR<qd_real> > >&, int, int, int);
+template double svp_probability<FP_NR<qd_real> >(const Pruning &);
+template double svp_probability<FP_NR<qd_real> >(const vector<double> &);
+#endif
+
+#ifdef FPLLL_WITH_DPE
+template class Pruner<FP_NR<dpe_t> >;
+template void prune<FP_NR<dpe_t>, Z_NR<mpz_t>, FP_NR<dpe_t> > (vector<double> &, double &, const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<dpe_t> >&, int, int, int);
+template Pruning prune<FP_NR<dpe_t>, Z_NR<mpz_t>, FP_NR<dpe_t> > (const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<dpe_t> >&, int, int, int);
+template Pruning prune<FP_NR<dpe_t>, Z_NR<mpz_t>, FP_NR<dpe_t> > (const double, const double, const double, vector<MatGSO<Z_NR<mpz_t>, FP_NR<dpe_t> > >&, int, int, int);
+template double svp_probability<FP_NR<dpe_t> >(const Pruning &);
+template double svp_probability<FP_NR<dpe_t> >(const vector<double> &);
+#endif
+
+template class Pruner<FP_NR<mpfr_t> >;
+template void prune<FP_NR<mpfr_t>, Z_NR<mpz_t>, FP_NR<mpfr_t> > (vector<double> &, double &, const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<mpfr_t> >&, int, int, int);
+template Pruning prune<FP_NR<mpfr_t>, Z_NR<mpz_t>, FP_NR<mpfr_t> > (const double, const double, const double, MatGSO<Z_NR<mpz_t>, FP_NR<mpfr_t> >&, int, int, int);
+template Pruning prune<FP_NR<mpfr_t>, Z_NR<mpz_t>, FP_NR<mpfr_t> > (const double, const double, const double, vector<MatGSO<Z_NR<mpz_t>, FP_NR<mpfr_t> > >&, int, int, int);
+template double svp_probability<FP_NR<mpfr_t> >(const Pruning &);
+template double svp_probability<FP_NR<mpfr_t> >(const vector<double> &);
+
+FPLLL_END_NAMESPACE
--- /dev/null
+#ifndef FPLLL_PRUNER_H
+#define FPLLL_PRUNER_H
+
+/* Copyright (C) 2015-2016 Martin Albrecht, Leo Ducas.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "defs.h"
+#include "gso.h"
+#include "bkz_param.h"
+#include <array>
+
+FPLLL_BEGIN_NAMESPACE
+
+/**
+ This file provides an implementation of the numerically optimized pruning
+ strategy of [GNR10].
+
+ Many details for implementation follows from the thesis [Chen13] Some
+ simplifications have been made, for example we restrict ourselves to ``even
+ vector bounds'' i.e., the bound at indices 2i and 2i+1 are kept equal, as to
+ allow volume estimation by pure integration (see [GNR10,Chen13])
+
+ The current descent method use gradients, but alternative algorithms
+ (Nelder-Mead) May be added soon.
+
+ naming conventions:
+
+ - b is for bound (squared)
+
+ - ipv is for inverse partial volumes (NOT squared)
+
+ - r is for gram schmidt length (squared). Automatically renormalized to avoid
+ overflowing partial volumes
+
+ - p is for polynomial
+
+ inside this code, b,pv,and R are in reversed order as to conform with the
+ algorithm desciption of [Chen13] reversing the order is handled by the load
+ and save methods.
+
+ - n is for the dimension of the basis to prune
+
+ - d is for degrees of polynomials. md is for max_degree
+
+ - d is floor(n/2 at most). Odd n are dealt with by ignoring the first component
+*/
+
+#define PRUNER_MAX_PREC 1000
+#define PRUNER_MAX_D 1023
+#define PRUNER_MAX_N 2047
+
+
+
+/**
+ @brief prune function, hiding the Pruner class
+
+ @param pr store pruning coefficients here
+ @param probability store success probability here
+ @param enumeration_radius target enumeration radius
+ @param preproc_cost cost of preprocessing
+ @param target_probability overall target success probability
+ @param m GSO matrix
+ @param method for the descent (gradient, NM, both)
+ @param start_row start enumeration here
+ @param end_row stop enumeration here
+*/
+
+template <class FT, class GSO_ZT, class GSO_FT>
+void prune(/*output*/ vector<double> &pr, double &probability,
+ /*inputs*/ const double enumeration_radius, const double preproc_cost,
+ const double target_probability, const MatGSO<GSO_ZT, GSO_FT> &m,
+ const int descent_method = PRUNER_METHOD_HYBRID, int start_row = 0, int end_row = 0);
+
+
+/**
+ @brief prune function, hiding the Pruner class
+
+ @param pruning store pruning structure
+ @param probability store success probability here
+ @param enumeration_radius target enumeration radius
+ @param preproc_cost cost of preprocessing
+ @param target_probability overall target success probability
+ @param m GSO matrix
+ @param method for the descent (gradient, NM, both)
+ @param start_row start enumeration here
+ @param end_row stop enumeration here
+
+ @return Pruning object.
+*/
+
+template <class FT, class GSO_ZT, class GSO_FT>
+Pruning prune(/*inputs*/ const double enumeration_radius, const double preproc_cost,
+ const double target_probability, MatGSO<GSO_ZT, GSO_FT> &m,
+ const int descent_method = PRUNER_METHOD_HYBRID, int start_row = 0, int end_row = 0);
+
+/**
+ @brief prune function averaging over several bases
+
+ @param probability store success probability here
+ @param enumeration_radius target enumeration radius
+ @param preproc_cost cost of preprocessing
+ @param target_probability overall target success probability
+ @param m GSO matrices
+ @param start_row start enumeration here
+ @param end_row stop enumeration here
+ @return Pruning object.
+*/
+
+template <class FT, class GSO_ZT, class GSO_FT>
+Pruning prune(/*inputs*/ const double enumeration_radius, const double preproc_cost,
+ const double target_probability, vector<MatGSO<GSO_ZT, GSO_FT> > &m,
+ const int descent_method = PRUNER_METHOD_HYBRID, int start_row = 0, int end_row = 0);
+
+/**
+ @brief svp_probability function, hiding the Pruner class
+
+ @param pruning
+ @return pruning probability
+*/
+
+
+template <class FT>
+double svp_probability(const Pruning &pruning);
+
+template <class FT>
+double svp_probability(const vector<double> &pr);
+
+
+template <class FT> class Pruner
+{
+public:
+ class TestPruner;
+ friend class TestPruner;
+
+ /** @brief enumeration radius (squared) */
+ FT enumeration_radius;
+
+ /** @brief cost of pre-processing a basis for a retrial
+
+ This cost should be expressed in terms of ``nodes'' in an enumeration.
+ Roughly, a node is equivalent to 100 CPU cycles.
+ */
+ FT preproc_cost;
+
+ /** @brief desired success probability after several retrial
+
+ @note one can try to force probability >= target_probability by setting
+ a prohibitive preproc_cost. But beware: this may induces numerical
+ stability issue, especially with the gradient method.
+ */
+
+ FT target_probability;
+
+ int verbosity = 0;
+
+ int descent_method;
+
+
+ Pruner(FT enumeration_radius=0.0, FT preproc_cost=0.0, FT target_probability=0.9, int descent_method = PRUNER_METHOD_HYBRID, size_t n=0, size_t d=0):
+ enumeration_radius(enumeration_radius),
+ preproc_cost(preproc_cost),
+ target_probability(target_probability),
+ descent_method(descent_method),
+ n(n),
+ d(d)
+ {
+ set_tabulated_consts();
+ epsilon = std::pow(2., -13); // Guesswork. Will become obsolete with Nelder-Mead
+ min_step = std::pow(2., -12); // Guesswork. Will become obsolete with Nelder-Mead
+ step_factor = std::pow(2, .5); // Guesswork. Will become obsolete with Nelder-Mead
+ shell_ratio = .995; // This approximation means that SVP will in fact be approx-SVP with factor 1/.995. Sounds fair.
+ min_cf_decrease = .9999; // We really want the gradient descent to reach the minima
+ symmetry_factor = 2; // For now, we are just considering SVP
+
+ }
+
+ /** @brief load the shape of a basis from a MatGSO object. Can select a
+ projected sub-lattice [start_row,end_row-1]
+ */
+ template <class GSO_ZT, class GSO_FT>
+ void load_basis_shape(MatGSO<GSO_ZT, GSO_FT> &gso, int start_row = 0, int end_row = 0, int reset_renorm = 1);
+
+ /** @brief load the shapes of several bases from a MatGSO object. Can select a
+ projected sub-lattice [start_row,end_row-1]
+ */
+ template <class GSO_ZT, class GSO_FT>
+ void load_basis_shapes(vector<MatGSO<GSO_ZT, GSO_FT> > &gsos, int start_row = 0, int end_row = 0);
+
+
+ /** @brief load the shape of a basis from vector<double>. Mostly for testing purposes */
+
+ void load_basis_shape(const vector<double> &gso_sq_norms, int reset_renorm = 1);
+
+ /** @brief load the shapes of may bases from vector<vector<double>> . Cost are average over all bases. Mostly for testing purposes */
+
+ void load_basis_shapes(const vector<vector<double> > &gso_sq_norms_vec);
+
+ /** @brief optimize pruning coefficients
+
+ @note Basis Shape and other parameters must have been set beforehand. See
+ auto_prune for an example of proper usage.
+ */
+ void optimize_coefficients(/*io*/ vector<double> &pr, /*i*/ const int reset = 1);
+
+ /** @brief Compute the cost of a single enumeration */
+
+ double single_enum_cost(/*i*/ const vector<double> &pr) {
+ evec b;
+ load_coefficients(b, pr);
+ return single_enum_cost(b).get_d();
+ }
+
+ /** @brief Compute the cost of r enumeration and (r-1) preprocessing, where r
+ is the required number of retrials to reach target_probability
+ */
+ double repeated_enum_cost(/*i*/ const vector<double> &pr) {
+ evec b;
+ load_coefficients(b, pr);
+ return repeated_enum_cost(b).get_d();
+ }
+
+ /**
+ @brief Compute the success proba of a single enumeration
+ */
+ double svp_probability(/*i*/ const vector<double> &pr) {
+ if (!n){ // Can be called even if no basis has been loaded. In that case, set the dims
+ n = pr.size();
+ d = n / 2;
+ }
+ evec b;
+ load_coefficients(b, pr);
+ return svp_probability(b).get_d();
+ }
+
+private:
+ using vec = array<FT, PRUNER_MAX_N>;
+ using evec = array<FT, PRUNER_MAX_D>;
+ // Even vectors, i.e. only one every two entry is stored: V[2i] = V[2i+1] =E[i]
+ using poly = array<FT, PRUNER_MAX_D + 1>;
+
+ // Load the constants for factorial and ball-volumes
+ void set_tabulated_consts();
+ size_t n; // Dimension of the (sub)-basis
+ size_t d; // Degree d = floor(n/2)
+
+ vec r; // Gram-Schmidt length (squared, inverted ordering)
+ vec ipv; // Partial volumes (inverted ordering)
+ FT renormalization_factor; // internal renormalization factor to avoid over/underflows
+
+ // Sanity check: has a basis indeed been loaded ?
+ int check_basis_loaded();
+ // Initialize pruning coefficients (linear pruning)
+ void init_coefficients(evec &b);
+ // Load pruning coefficient from double*
+ void load_coefficients(/*o*/ evec &b, /*i*/ const vector<double> &pr);
+ // Save pruning coefficients to double*
+ void save_coefficients(/*o*/ vector<double> &pr, /*i*/ const evec &b);
+ // Enforce reasonable contraints on pruning bounds (inside [0,1], increasing).
+ // Keeps index j unchanged when possible
+ int enforce_bounds(/*io*/ evec &b, /*opt i*/ const int j = 0);
+ // Evaluate a polynomial
+ FT eval_poly(const int ld, /*i*/ const poly &p, const FT x);
+ // Integrate a polynomial
+ void integrate_poly(const int ld, /*io*/ poly &p);
+ // Compute the relative volume of a cylinder interesection of dim rd, and bounds b[0:rd]
+ FT relative_volume(/*i*/ const int rd, const evec &b);
+ // Compute the cost of a single enumeration
+ FT single_enum_cost(/*i*/ const evec &b);
+ // Compute the success probability of a single enumeration
+ FT svp_probability(/*i*/ const evec &b);
+ // Compute the cost of r enumeration and (r-1) preprocessing,
+ // where r is the required number of retrials to reach target_probability
+ FT repeated_enum_cost(/*i*/ const evec &b);
+ // Compute the gradient of the above function
+ void repeated_enum_cost_gradient(/*i*/ const evec &b, /*o*/ evec &res);
+ // Improve the pruning bounds a bit, using one gradient step
+ int improve(/*io*/ evec &b);
+ // Improve the pruning bounds substantially, using Nelder-Mead method
+ int nelder_mead(/*io*/ evec &b);
+ // Run the whole escent to optimize pruning bounds
+ void descent(/*io*/ evec &b);
+
+ FT tabulated_factorial[PRUNER_MAX_N];
+ FT tabulated_ball_vol[PRUNER_MAX_N];
+
+ FT epsilon; //< Epsilon to use for numerical differentiation
+ FT min_step; //< Minimal step in a given direction
+ FT min_cf_decrease; //< Maximal ratio of two consectuive cf in the descent before stopping
+
+ FT step_factor; //< Increment factor for steps in a given direction
+ FT shell_ratio; //< Shell thickness Ratio when evaluating svp proba
+ FT symmetry_factor; //< Set at 2 for SVP enumeration assuming the implem only explore half the
+ //< space
+};
+
+FPLLL_END_NAMESPACE
+
+#endif /* FPLLL_PRUNER_H */
--- /dev/null
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+#include "sampler_basic.h"
+
+
+/**************************
+ * class KleinSampler
+ **************************/
+
+
+template<class ZT, class F>
+KleinSampler<ZT, F>::KleinSampler (ZZ_mat<ZT> &B, bool ver, int seed)
+{
+ /* set dimensions */
+ b = B;
+ nr = b.get_rows();
+ nc = b.get_cols();
+ //t = log(nr);
+ t = 2;
+ logn2 = log(nr)*log(nr);
+
+ /* gso, flag 1 to have g matrix valid */
+ pGSO = new MatGSO<Z_NR<ZT>, F> (b, u, u_inv, 1);
+
+ pGSO->update_gso();
+ mu = pGSO->get_mu_matrix();
+ r = pGSO->get_r_matrix();
+ g = pGSO->get_g_matrix();
+
+ /* compute variances for sampling */
+ maxbistar2 = pGSO->get_max_bstar();
+
+ s2.mul_d (maxbistar2, logn2, GMP_RNDN);
+ s_prime = new NumVect<F> (nr);
+
+ F tmp;
+ for (int i = 0; i < nr; i++) {
+ tmp.set_z(g(i,i));
+ ((*s_prime)[i]).div(maxbistar2, tmp);
+ ((*s_prime)[i]).sqrt((*s_prime)[i], GMP_RNDN);
+ }
+
+ /* verbose */
+ srand (seed);
+ set_verbose(ver);
+ print_param();
+}
+
+
+template<class ZT, class F>
+KleinSampler<ZT, F>::~KleinSampler ()
+{
+ delete pGSO;
+ delete s_prime;
+}
+
+
+/**
+ * set verbose
+ */
+template<class ZT, class F>
+void KleinSampler<ZT, F>::set_verbose (bool ver)
+{
+ verbose = ver;
+}
+
+
+template<class ZT, class F>
+void KleinSampler<ZT, F>::print_param ()
+{
+ if (verbose) {
+ cout << "# [info] nc = " << nc << endl;
+ cout << "# [info] nr = " << nr << endl;
+ cout << "# [info] t = log(nr) = " << t << endl;
+ cout << "# [info] maxbistar2 = " << maxbistar2 << endl;
+ }
+}
+
+
+/**
+ * sampling Z by rejection sampling
+ */
+template<class ZT, class F>
+Z_NR<ZT> KleinSampler<ZT, F>::sample_z_basic (F c, F s)
+{
+ F min, max, st, range, tmp, tmp1;
+ double r, e;
+
+ /* (c \pm s*t) for t \approx logn */
+ st = s;
+ st.mul(st, t, GMP_RNDN);
+ min.sub(c, st, GMP_RNDN);
+ max.add(c, st, GMP_RNDN);
+ min.rnd(min);
+ max.rnd(max);
+ range.sub(max, min, GMP_RNDN);
+
+ Z_NR<ZT> x;
+ while(1) {
+ r = double(rand()) / RAND_MAX;
+ tmp.mul_d(range, r, GMP_RNDN);
+ tmp.rnd(tmp);
+ tmp.add(tmp, min, GMP_RNDN);
+ x.set_f(tmp);
+ tmp1.sub(tmp, c, GMP_RNDN);
+ tmp1.mul(tmp1, tmp1, GMP_RNDN);
+ tmp1.mul_d(tmp1, -M_PI, GMP_RNDN);
+ tmp.mul(s, s, GMP_RNDN);
+ tmp1.div(tmp1, tmp, GMP_RNDN);
+ e = tmp1.get_d(GMP_RNDN);
+ r = exp(e);
+ if ((double(rand()) / RAND_MAX) <= r)
+ return x;
+ }
+}
+
+
+/**
+ * support three modes:
+ * long, double
+ * mpz_t, double
+ * mpz_t, mpfr_t
+ */
+template<class ZT, class F>
+Z_NR<ZT> KleinSampler<ZT, F>::sample_z (F c, F s)
+{
+ return sample_z_basic (c, s);
+}
+
+
+template<class ZT, class F>
+NumVect<Z_NR<ZT> > KleinSampler<ZT, F>::sample ()
+{
+ NumVect<Z_NR<ZT> > vec(nc);
+ NumVect<F> ci(nc);
+ F tmp;
+ Z_NR<ZT> tmpz;
+
+ for (int i = 0; i < nc; i++)
+ vec[i] = 0.0;
+ for (int i = 0; i < nr; i++)
+ ci[i] = 0.0;
+
+ for (int i = nr - 1; i >= 0; i--) {
+ tmpz = sample_z (ci[i], (*s_prime)[i]);
+ (ci[i]).set_z(tmpz);
+ for (int j = 0; j < i; j++) {
+ tmp.mul(ci[i], mu(i,j), GMP_RNDN);
+ (ci[j]).sub(ci[j], tmp, GMP_RNDN);
+ }
+ }
+
+ //lp->norm = 0;
+ for (int i = 0; i < nc; i++) {
+ for (int j = 0; j < nr; j++) {
+ tmpz.set_f(ci[j]);
+ tmpz.mul(tmpz, b(j,i));
+ (vec[i]).add(vec[i], tmpz);
+ }
+ //lp->norm += lp->v[i] * lp->v[i];
+ }
+ return vec;
+}
+
+
+template class KleinSampler<long, FP_NR<double> >;
+template class KleinSampler<mpz_t, FP_NR<double> >;
+template class KleinSampler<mpz_t, FP_NR<mpfr_t> >;
+
--- /dev/null
+/* "Trapdoors for Hard Lattices and New Cryptographic Constructions"
+ Craig Gentry, Chris Peikert, Vinod Vaikuntanathan */
+
+#ifndef FPLLL_SIEVE_SAMPLER_BASIC_H
+#define FPLLL_SIEVE_SAMPLER_BASIC_H
+
+#include "fplll/defs.h"
+#include "fplll/nr/nr_Z.inl"
+#include "fplll/nr/matrix.h"
+#include "fplll/gso.h"
+
+using namespace std;
+using namespace fplll;
+
+template<class ZT, class F>
+class KleinSampler {
+
+ public:
+ bool verbose;
+
+ KleinSampler (ZZ_mat<ZT>& B, bool verbose, int seed);
+ ~KleinSampler();
+ void print_param ();
+ Z_NR<ZT> sample_z(F c, F s);
+ Z_NR<ZT> sample_z_basic(F c, F s);
+ void set_verbose (bool verbose);
+
+ NumVect<Z_NR<ZT> > sample();
+
+ private:
+
+ /**
+ * GSO object of B
+ */
+ int nr, nc;
+ double logn2;
+ ZZ_mat<ZT> b, u, u_inv;
+ MatGSO<Z_NR<ZT>, F> *pGSO;
+ Matrix<Z_NR<ZT> > g;
+ Matrix<F> mu, r;
+
+ /* input parameter s */
+ F maxbistar2;
+
+ /* input parameter s */
+ F s2;
+
+ /* input parameter s */
+ F c;
+
+ /* ratio t = logn */
+ F t;
+
+ /* variances */
+ NumVect<F> *s_prime;
+
+};
+
+
+/**
+ * sampling Z by rejection sampling (not a class member)
+ */
+template<class ZT, class F>
+Z_NR<ZT> sample_z_basic_alt (F c, F s)
+{
+ F min, max, st, range, tmp, tmp1;
+ double r, e;
+
+ /* (c \pm s*t) for t \approx logn */
+ st = s;
+ F t;
+ t = 2.0;
+ st.mul(st, t, GMP_RNDN);
+ min.sub(c, st, GMP_RNDN);
+ max.add(c, st, GMP_RNDN);
+ min.rnd(min);
+ max.rnd(max);
+ range.sub(max, min, GMP_RNDN);
+ Z_NR<ZT> x;
+ while(1) {
+ r = double(rand()) / RAND_MAX;
+ tmp.mul_d(range, r, GMP_RNDN);
+ tmp.rnd(tmp);
+ tmp.add(tmp, min, GMP_RNDN);
+ x.set_f(tmp);
+ tmp1.sub(tmp, c, GMP_RNDN);
+ tmp1.mul(tmp1, tmp1, GMP_RNDN);
+ tmp1.mul_d(tmp1, -M_PI, GMP_RNDN);
+ tmp.mul(s, s, GMP_RNDN);
+ tmp1.div(tmp1, tmp, GMP_RNDN);
+ e = tmp1.get_d(GMP_RNDN);
+ r = exp(e);
+ if ((double(rand()) / RAND_MAX) <= r)
+ return x;
+ }
+}
+
+
+#endif
--- /dev/null
+#include "sampler_basic.h"
+
+
+int main()
+{
+ srand (time(NULL));
+ int dim = 40;
+
+
+#if 1
+ /* long matrix, double */
+ ZZ_mat<mpz_t> M1_Z (dim,dim);
+ M1_Z.gen_GM(20*dim);
+ lllReduction(M1_Z, 0.99, 0.51, LM_WRAPPER);
+ ZZ_mat<long> M1(dim, dim);
+ for (int i = 0; i < dim; i ++)
+ for (int j = 0; j < dim; j ++)
+ M1(i, j) = M1_Z(i, j).get_si();
+ FP_NR<double> c, t;
+ Z_NR<long> x1;
+ long flag = 0;
+ c = 0.0;
+ t = 1000.0;
+ KleinSampler<long, FP_NR<double> > S1(M1);
+
+ /* sample Z */
+ for (int i = 0; i < 1000; i ++) {
+ x1 = S1.sample_z_dgs(c, t, flag);
+ //cout << x1 << endl;
+ }
+ cout << "# [done] (long, double) sample_z_dgs()" << endl;
+
+ /* sample vec */
+ NumVect<Z_NR<long> > vec;
+ clock_t stime = clock();
+ for (int i = 0; i < 10000; i ++) {
+ vec = S1.sample();
+ //cout << (vec) << endl;
+ }
+ cout << "# [done] (long, double) sample()" << endl;
+ clock_t etime = clock();
+ double secs = (etime - stime) / (double) CLOCKS_PER_SEC;
+ cout << "# [info] (long double) took time " << secs << " s" << endl;
+#endif
+
+
+#if 1
+ /* mpz_t matrix, double */
+ ZZ_mat<mpz_t> M2 (dim,dim);
+ M2.gen_GM(20*dim);
+ lllReduction(M2, 0.99, 0.51, LM_WRAPPER);
+ Z_NR<mpz_t> x2;
+ KleinSampler<mpz_t, FP_NR<double> > S2(M2);
+
+ /* sample Z */
+ for (int i = 0; i < 1000; i ++) {
+ x2 = S2.sample_z(c, t);
+ //cout << x2 << endl;
+ }
+ cout << "# [done] (mpz_t, double) sample_z_basic()" << endl;
+
+ /* sample vec */
+ NumVect<Z_NR<mpz_t> > vec2;
+ stime = clock();
+ for (int i = 0; i < 10000; i ++) {
+ vec2 = S2.sample();
+ //cout << (vec2) << endl;
+ }
+ cout << "# [done] (mpz_t, double) sample()" << endl;
+ etime = clock();
+ secs = (etime - stime) / (double) CLOCKS_PER_SEC;
+ cout << "# [info] (mpz_t, double) took time " << secs << " s" << endl;
+#endif
+
+
+#if 1
+ /* mpz_t matrix, mpfr */
+ ZZ_mat<mpz_t> M3 (dim,dim);
+ M3.gen_GM(20*dim);
+ lllReduction(M3, 0.99, 0.51, LM_WRAPPER);
+ Z_NR<mpz_t> x3;
+ KleinSampler<mpz_t, FP_NR<mpfr_t> > S3(M3);
+ FP_NR<mpfr_t> c2, t2;
+ c2 = 0.0;
+ t2 = 1000.0;
+
+ /* sample Z */
+ for (int i = 0; i < 1000; i ++) {
+ x3 = S3.sample_z(c2, t2);
+ }
+ cout << "# [done] (mpz_t, mpfr_t) sample_z_dgs()" << endl;
+
+ /* sample vec */
+ NumVect<Z_NR<mpz_t> > vec3;
+ stime = clock();
+ for (int i = 0; i < 10000; i ++) {
+ vec3 = S3.sample();
+ }
+ cout << "# [done] (mpz_t, mpfr_t) sample()" << endl;
+ etime = clock();
+ secs = (etime - stime) / (double) CLOCKS_PER_SEC;
+ cout << "# [info] (mpz_t, mpfr_t) took time " << secs << " s" << endl;
+#endif
+
+
+ return 0;
+}
+
--- /dev/null
+#ifndef FPLLL_SIEVE_COMMON_H
+#define FPLLL_SIEVE_COMMON_H
+
+
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+#include <iostream>
+#include <list>
+#include <queue>
+
+#include "../defs.h"
+#include "sampler_basic.h"
+#include "sieve_gauss_str.h"
+
+using namespace std;
+using namespace fplll;
+
+#endif
--- /dev/null
+
+/*
+ test small svp challenges
+ --------------------------------------
+ dim seed norm current_status time
+ --------------------------------------
+ 40 0 1702.46439022965 ok
+ 50 0 1893.16982862077 ok
+ 60 0 1943.40088504662 ok
+ */
+
+
+#include "sieve_gauss.h"
+#include "sieve_gauss_2sieve.cpp"
+#include "sieve_gauss_3sieve.cpp"
+#include "sieve_gauss_4sieve.cpp"
+#include "wrapper.h"
+
+#define REDUCE_TIMING
+
+/**
+ * constructor
+ */
+template<class ZT, class F>
+GaussSieve<ZT, F>::GaussSieve (ZZ_mat<ZT> &B, int alg_arg, bool ver, int seed)
+{
+
+ /* stats */
+ b = B;
+ nr = b.get_rows();
+ nc = b.get_cols();
+ max_list_size = 0;
+ iterations = 0;
+ collisions = 0;
+ reductions = 0;
+ samples = 0;
+ goal_sqr_norm = 0;
+ mem_lower = pow(2.0, 0.18*nc);
+ alg = alg_arg;
+ set_verbose (ver);
+
+ /* sanity check */
+ if (alg == 2) {
+ if (verbose)
+ cout << "# [info] running 2-sieve" <<endl;
+ mult = 0.1;
+ add = 200.0;
+ iterations_step = 200;
+ }
+ else if (alg == 3) {
+ if (verbose)
+ cout << "# [info] running 3-sieve" <<endl;
+ mult = 0.1;
+ add = 100.0;
+ iterations_step = 50;
+ }
+ else if (alg == 4) {
+ if (verbose)
+ cout << "# [info] running 4-sieve" <<endl;
+ mult = 0.1;
+ add = 50.0;
+ iterations_step = 5;
+ }
+ else {
+ cout << " Error, only support 2-, 3- and 4-sieve" <<endl;
+ exit(1);
+ }
+
+ /* clean up list */
+ free_list_queue();
+
+ /* initialize sampler */
+ Sampler = new KleinSampler<ZT, F> (b, verbose, seed);
+
+ /* initialize list */
+ init_list ();
+
+ /* further initialization by randomization */
+ //init_list_rand();
+
+ /* done initialization */
+ max_list_size = List.size();
+
+ /* output stats */
+ if (verbose) {
+ cout << "# [info] done initialization, size(List)="
+ << List.size() << endl;
+ cout << "# [info] done initialization, size(Queue)="
+ << Queue.size() << endl;
+ cout << "# [info] done initialization, mem_est="
+ << mem_lower <<endl;
+ }
+
+}
+
+
+/**
+ * deconstructor
+ */
+template<class ZT, class F>
+GaussSieve<ZT, F>::~GaussSieve ()
+{
+ free_list_queue();
+ free_sampler();
+}
+
+
+/**
+ * put matrix vectors to list
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::add_mat_list (ZZ_mat<ZT> &B)
+{
+ Z_NR<ZT> t, current_norm;
+ dot_product(best_sqr_norm, B[0], B[0]);
+ ListPoint<ZT>* p;
+
+ for (int i = 0; i < nr; ++i) {
+ p = new_listpoint<ZT>(nc);
+ matrix_row_to_list_point(B[i], p);
+
+ //cout << "# [info] init: additing point ";
+ //cout << p->v << endl;
+
+ if (alg == 3)
+ current_norm = update_p_3reduce(p);
+ else if (alg == 2)
+ current_norm = update_p_2reduce(p);
+ else if (alg == 4)
+ current_norm = update_p_4reduce(p);
+ else {
+ cout << " Error, only support 2-, 3- and 4-sieve" <<endl;
+ exit(1);
+ }
+
+ if ((current_norm < best_sqr_norm) && (current_norm > 0))
+ //if ((current_norm < best_sqr_norm) )
+ best_sqr_norm = current_norm;
+
+ }
+}
+
+
+/**
+ * init function (used in constructor)
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::init_list ()
+{
+ add_mat_list(b);
+}
+
+
+/**
+ * init pool of samples (used later)
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::init_list_rand ()
+{
+ /* after transformation, the size could be large */
+ ZZ_mat<mpz_t> NewZ (nr, nc);
+ ZZ_mat<ZT> New (nr, nc);
+ mpz_t tmp;
+ Z_NR<mpz_t> tmpZ;
+ mpz_init(tmp);
+ FP_NR<double> c, t;
+ Z_NR<ZT> x;
+ c = 0.0;
+ t = 32.0;
+
+ /* init */
+ for (int i = 0; i < nr; i++ ) {
+ for (int j = 0; j < nc; j++ ) {
+ (b[i][j]).get_mpz(tmp);
+ NewZ[i][j] = tmp;
+ }
+ }
+
+ /* randomization */
+ for (int i = 0; i < nr; i++ ) {
+ for (int k = 0; k < nr; k++ ) {
+ if (i != k) {
+ x = sample_z_basic_alt<ZT, FP_NR<double> >(c, t);
+ x.get_mpz(tmp);
+ tmpZ = tmp;
+ (NewZ[i]).addmul(NewZ[k], tmpZ, (NewZ[k]).size());
+ }
+ }
+ }
+
+ /* reduce */
+ lll_reduction(NewZ, LLL_DEF_DELTA, LLL_DEF_ETA, LM_FAST);
+
+ /* set */
+ for (int i = 0; i < nr; i++ ) {
+ for (int j = 0; j < nc; j++ ) {
+ tmpZ = (NewZ[i][j]).get_data();
+ tmpZ.get_mpz(tmp);
+ New[i][j] = tmp;
+ }
+ }
+
+ /* add to list */
+ add_mat_list(New);
+ mpz_clear(tmp);
+}
+
+
+/**
+ * free list and queue
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::free_list_queue ()
+{
+ /* clean list */
+ typename list<ListPoint<ZT>* >::iterator lp_it;
+ for (lp_it = List.begin(); lp_it != List.end(); ++lp_it)
+ del_listpoint<ZT>(*lp_it);
+ List.clear();
+
+ /* clean queue */
+ while (!Queue.empty()) {
+ del_listpoint<ZT>(Queue.front());
+ Queue.pop();
+ }
+
+ /* clean priority queue */
+ while (!Queue_Samples.empty()) {
+ del_listpoint<ZT>(Queue_Samples.top());
+ Queue_Samples.pop();
+ }
+
+}
+
+
+/**
+ * free sampler
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::free_sampler ()
+{
+ delete Sampler;
+}
+
+
+
+/**
+ * set targeted norm^2
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::set_goal_norm2 (Z_NR<ZT> norm)
+{
+ goal_sqr_norm = norm;
+}
+
+
+/**
+ * set verbose
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::set_verbose (bool ver)
+{
+ verbose = ver;
+}
+
+
+/**
+ * print current info
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::print_curr_info ()
+{
+ if (verbose) {
+ if (iterations % iterations_step == 0) {
+ cout << "# [info] [" << iterations << "] cols=" << collisions;
+ cout << " (" << mult * max_list_size + add << ")";
+ cout << " reds=" << reductions;
+ cout << " |L|=" << List.size();
+ cout << " |Q|=" << Queue.size();
+ cout << " |samples|=" << samples;
+ cout << " |sv|^2=" << List.front()->norm;
+ cout << endl;
+ cout << std::flush;
+ }
+ }
+}
+
+
+/**
+ * print final info
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::print_final_info ()
+{
+ long first_size = 0;
+ vector<long>::iterator it2 = iters_ls.begin();
+ for (typename vector<Z_NR<ZT> >::iterator it1 = iters_norm.begin();
+ it1 != iters_norm.end(); ++it1, ++it2) {
+ if ((*it1) == best_sqr_norm) {
+ first_size = (*it2);
+ break;
+ }
+ }
+ if (verbose) {
+ cout << "# [****] done!" << endl;
+ cout << "# [info] [" << iterations << "] cols=" << collisions;
+ cout << " (" << mult * max_list_size + add << ")";
+ cout << " reds=" << reductions;
+ cout << " |L|=" << List.size();
+ cout << " |Q|=" << Queue.size();
+ cout << " |samples|=" << samples << endl;
+ cout << "# [info] max(|L|)=" << max_list_size;
+ cout << " log2(max|L|)/n=" << log2(max_list_size)/nc << endl;
+ cout << "# [info] true max|L| = " << first_size << endl;;
+ cout << "# [info] true log2(max|L|)/n = " << log2(first_size)/nc << endl;
+ cout << "# [info] sv is" << endl;
+ }
+ cout << List.front()->v << endl;
+ if (verbose){
+ final_norm.set_z(best_sqr_norm);
+ final_norm.sqrt(final_norm, GMP_RNDN);
+ cout << "# [info] |sv| = " << final_norm << " (" << best_sqr_norm
+ << ")" << endl;
+ }
+}
+
+
+template<class ZT, class F>
+NumVect<Z_NR<ZT> > GaussSieve<ZT, F>::return_first ()
+{
+ return List.front()->v;
+}
+
+template class GaussSieve<mpz_t, FP_NR<double> >;
+template class GaussSieve<long, FP_NR<double> >;
--- /dev/null
+#ifndef FPLLL_SIEVE_GAUSS_H
+#define FPLLL_SIEVE_GAUSS_H
+
+#include "sieve_common.h"
+#include "sieve_gauss_str.h"
+
+using namespace std;
+using namespace fplll;
+
+
+/**
+ * Gauss sieve
+ */
+template<class ZT, class F>
+ class GaussSieve {
+
+public:
+
+ GaussSieve (ZZ_mat<ZT>& B, int alg, bool ver, int seed);
+ ~GaussSieve ();
+
+ bool run_2sieve ();
+ bool run_3sieve ();
+ bool run_4sieve ();
+
+ void set_verbose (bool verbose);
+ void set_goal_norm2 (Z_NR<ZT> norm);
+ bool verbose;
+
+ /*
+ void Init(const mat_ZZ& B, KleinSampler* sampler);
+ bool Start();
+ */
+ int alg;
+
+ /* norms/listsize for all iterations */
+ vector<Z_NR<ZT> > iters_norm;
+ vector<long> iters_ls;
+
+ NumVect<Z_NR<ZT> > return_first ();
+
+private:
+
+ int nr, nc;
+
+ /* estimated list size */
+ double mem_lower;
+ ZZ_mat<ZT> b;
+
+ Z_NR<ZT> best_sqr_norm;
+ Z_NR<ZT> goal_sqr_norm;
+
+ /* statistics */
+ long max_list_size;
+ long samples;
+ long iterations;
+ long iterations_step;
+ long collisions;
+ long reductions;
+
+ /* statistics for 2-, 3- and 4-red, set manually in init() */
+ double mult;
+ double add;
+ F final_norm;
+
+ /* List */
+ list<ListPoint<ZT>* > List;
+
+ /* Queue (recording vectors to be reduced) */
+ queue<ListPoint<ZT>* > Queue;
+
+ /* Queue (recording samples) */
+ priority_queue<ListPoint<ZT>* > Queue_Samples;
+
+ /* sampler */
+ KleinSampler<ZT, F>* Sampler;
+
+ /* list functions */
+ void add_mat_list (ZZ_mat<ZT>& B);
+ void init_list ();
+ void init_list_rand ();
+ void free_list_queue ();
+ void free_sampler ();
+
+ /* reduction functions */
+ Z_NR<ZT> update_p_2reduce (ListPoint<ZT>* p);
+ Z_NR<ZT> update_p_3reduce_2reduce (ListPoint<ZT>* p,
+ typename list<ListPoint<ZT> *>::iterator &lp_it);
+ Z_NR<ZT> update_p_3reduce (ListPoint<ZT>* p);
+ Z_NR<ZT> update_p_4reduce_3reduce (ListPoint<ZT>* p);
+ void update_p_4reduce_aux (ListPoint<ZT>* p,
+ typename list<ListPoint<ZT> *>::iterator &lp_it);
+ Z_NR<ZT> update_p_4reduce (ListPoint<ZT>* p);
+
+ /* info functions */
+ void print_curr_info ();
+ void print_final_info ();
+
+};
+
+
+
+#endif
--- /dev/null
+#include "sieve_gauss.h"
+
+//#define DEBUG_CHECK_2RED
+
+/**
+ * reduction function: reduces recuirsively the point with all the
+ * points with smaller norm. Adds the point to the list if we
+ * don't have colission and puts to the queue all the points
+ * with bigger norm that can be reduced with it.
+ */
+template <class ZT, class F> Z_NR<ZT>
+GaussSieve<ZT, F>::update_p_2reduce (ListPoint<ZT> *p)
+{
+
+#if 0
+ struct timeval time;
+ gettimeofday(&time, 0);
+ long startt = 1000000 * time.tv_sec + time.tv_usec;
+#endif
+
+ typename list<ListPoint<ZT> *>::iterator lp_it, tmp_lp_it;
+ ListPoint<ZT> *v;
+ bool loop = true;
+
+ /* 1. this loop should be stopping eventually hopefully */
+ int count = 0;
+ while (loop)
+ {
+
+ count++;
+ loop = false;
+
+ /* if |p| >= |v_i| for any v_i in L, reduce p */
+ for (lp_it = List.begin(); lp_it != List.end(); ++lp_it)
+ {
+ v = *lp_it;
+ if (p->norm < v->norm)
+ break;
+
+ /* if there is one reduction the vector should re-pass the list */
+ if (half_2reduce(p, v))
+ {
+ reductions ++;
+ loop = true;
+ }
+ }
+ }
+
+#if 0
+ gettimeofday(&time, 0);
+ long endt = 1000000 * time.tv_sec + time.tv_usec;
+ cout << "[info] loop times " << count << endl;
+ cout << "[info] updatelist1 time " << endt-startt << endl;
+#endif
+
+ /* 2. if collision, remove point */
+ if (p->norm == 0)
+ {
+ del_listpoint(p);
+ Z_NR<ZT> t;
+ t = 0;
+ return t;
+ }
+
+ /* 3. lp_it shows to the first point with bigger norm
+ this is where we will insert the new point */
+ List.insert(lp_it, p);
+
+ /* 4. reduce List by p */
+ while (lp_it != List.end())
+ {
+ tmp_lp_it = lp_it;
+ v = *lp_it;
+ ++lp_it;
+ if (half_2reduce(v, p))
+ {
+ reductions ++;
+ List.erase(tmp_lp_it);
+ Queue.push(v);
+ }
+ }
+
+#if 0
+ gettimeofday(&time, 0);
+ long endt2 = 1000000 * time.tv_sec + time.tv_usec;
+ cout << "[info] updatelist2 time " << endt2-endt << endl;
+#endif
+
+ return p->norm;
+}
+
+/**
+ * 2-sieve
+ */
+template <class ZT, class F> bool GaussSieve<ZT, F>::run_2sieve()
+{
+
+ ListPoint<ZT> *current_point;
+ NumVect<Z_NR<ZT>> vec(nc);
+ Z_NR<ZT> current_norm;
+
+#ifdef REDUCE_TIMING
+ struct timeval time, time2;
+ gettimeofday(&time, 0);
+ long startt = 1000000 * time.tv_sec + time.tv_usec;
+ double sec, sec2 = 0.0;
+ long nred = 0;
+#endif
+
+ /*
+ Loop till you find a short enough vector,
+ or enough collisions. */
+ while ((best_sqr_norm > goal_sqr_norm) && (collisions < mult * max_list_size + add))
+ {
+ /* update stats */
+ iterations++;
+ max_list_size = max(max_list_size, long(List.size()));
+
+ /* sample new or fetch from queue */
+ if (Queue.empty())
+ {
+ vec = Sampler->sample();
+ current_point = num_vec_to_list_point(vec, nc);
+ samples++;
+ }
+ else
+ {
+ current_point = Queue.front();
+ Queue.pop();
+ }
+
+#ifdef REDUCE_TIMING
+ gettimeofday(&time2, 0);
+ long startt2 = 1000000 * time2.tv_sec + time2.tv_usec;
+ nred++;
+#endif
+
+ /* sieve current_point */
+ current_norm = update_p_2reduce(current_point);
+
+ //print_list(List);
+
+#ifdef REDUCE_TIMING
+ gettimeofday(&time2, 0);
+ long endt2 = 1000000 * time2.tv_sec + time2.tv_usec;
+ sec2 += (endt2 - startt2) / 1000000.0;
+#endif
+
+ /* record collisions */
+ if (current_norm == 0)
+ collisions++;
+ if (current_norm > 0 && current_norm < best_sqr_norm)
+ {
+ best_sqr_norm = current_norm;
+ }
+
+#if 1
+ print_curr_info();
+/*if (samples+nr-List.size()-Queue.size() != collisions)
+ exit(1);
+*/
+#endif
+
+ /* tuples of (iters, max_list_size) */
+ iters_norm.push_back(best_sqr_norm);
+ iters_ls.push_back(max_list_size);
+ }
+
+#ifdef REDUCE_TIMING
+ gettimeofday(&time, 0);
+ long endt = 1000000 * time.tv_sec + time.tv_usec;
+ sec = (endt - startt) / 1000000.0;
+ cout << "# [info] total-reducuction time " << sec2;
+ cout << ", average-reducuction time " << sec2 / nred << " (" << nred << ")" << endl;
+ cout << "# [info] total time " << sec << endl;
+#endif
+
+ /* finished main procedure, output some information */
+ print_final_info();
+
+#ifdef DEBUG_CHECK_2RED
+ if (check_2reduce_order_list<ZT>(List))
+ cout << "# [info] check 2-reduced OK" << endl;
+ else
+ cout << "# Error: check 2-reduced not OK" << endl;
+#endif
+
+ if (best_sqr_norm > goal_sqr_norm)
+ return false;
+ return true;
+}
--- /dev/null
+#include "sieve_gauss.h"
+#include <iterator>
+
+//#define DEBUG_CHECK_3RED
+#define EXTENSION_FILTERING
+
+/**
+ * auxiliary functionused in 3-reduction, make sure p and L is
+ * pairwisely 2-reduced and return lp_it_k as indicator of larger norms
+ */
+template<class ZT, class F>
+Z_NR<ZT> GaussSieve<ZT, F>::update_p_3reduce_2reduce
+(ListPoint<ZT>* p, typename list<ListPoint<ZT> *>::iterator &lp_it_k)
+{
+ typename list<ListPoint<ZT> *>::iterator lp_it, tmp_lp_it;
+ ListPoint<ZT>* v;
+ bool loop = true;
+ int count = 0;
+
+ /* iteratively reduce p w.r.t to v \in L for every
+ * v such that v.norm() < p.norm() */
+ while(loop) {
+ count ++;
+ loop = false;
+ for (lp_it = List.begin(); lp_it != List.end(); ++lp_it) {
+ v = *lp_it;
+ if (p->norm < v->norm)
+ break;
+ if (half_2reduce(p, v)) {
+ loop = true;
+ }
+ }
+ }
+
+ if (p->norm == 0) {
+ del_listpoint(p);
+ Z_NR<ZT> t;
+ t = 0;
+ return t;
+ }
+
+ /* record position after which the v would be larger than p */
+ lp_it_k = lp_it;
+
+ /* now every v after lp_it is larger than p, we should try to reduce
+ * v instead */
+ while (lp_it != List.end()) {
+ tmp_lp_it = lp_it;
+ v = *tmp_lp_it;
+ ++lp_it;
+
+ /* corner case, do not remove lp_it_k as it is needed to be passed
+ * back to the other function */
+ if (half_2reduce(v, p)) {
+ if (tmp_lp_it == lp_it_k) {
+ lp_it_k ++;
+ }
+ List.erase(tmp_lp_it);
+ Queue.push(v);
+ }
+ }
+
+ return p->norm;
+}
+
+
+/**
+ * 3-reduce the point p w.r.t to the list
+ */
+template<class ZT, class F>
+Z_NR<ZT> GaussSieve<ZT, F>::update_p_3reduce (ListPoint<ZT>* p)
+{
+ typename list<ListPoint<ZT> *>::iterator lp_it1, lp_it2,
+ lp_it_k, tmp_lp_it;
+ ListPoint<ZT> *v1, *v2;
+ ListPoint<ZT> *vnew = new_listpoint<ZT>(nc);
+ ListPoint<ZT> *vnew2;
+ int count = 0;
+ Z_NR<ZT> current_norm;
+ bool loop = true;
+
+ while(loop) {
+ count ++;
+ loop = false;
+ lp_it_k = List.begin();
+
+ /* now p and L are 2-reduced and lp_it_k is the larger-norm-borderline */
+ current_norm = update_p_3reduce_2reduce (p, lp_it_k);
+
+ /* p has been deleted in another function, need only to delete vnew */
+ if (current_norm == 0) {
+ del_listpoint(vnew);
+ return current_norm;
+ }
+
+ /* ordered (v1, v2, p), 3-reduce p */
+ for (lp_it1 = List.begin(); lp_it1 != lp_it_k &&
+ lp_it1 != List.end(); ++lp_it1) {
+ if (loop) break;
+ v1 = *lp_it1;
+ lp_it2 = lp_it1;
+
+#ifdef EXTENSION_FILTERING
+ if (apply_filtering (p, v1))
+ continue;
+#endif
+
+ for (; lp_it2 != lp_it_k && lp_it2 != List.end(); ++lp_it2) {
+ v2 = *lp_it2;
+ if (v1->norm >= v2->norm || v2->norm >= p->norm ||
+ v1->norm >= p->norm)
+ continue;
+ if (check_3reduce(v1, v2, p, vnew)!=1) {
+ clone_listpoint(vnew, p);
+ loop = true;
+ break;
+ }
+ }
+ }
+ }
+ del_listpoint(vnew);
+ List.insert(lp_it_k, p);
+ /* this is important to prevent from it to be deleted in
+ the later operation List.erase(tmp_lp_it) */
+ lp_it_k --;
+
+ /* 3-reduce (v1, p, v2) or (p, v1, v2) */
+ lp_it1 = List.begin();
+
+ while (lp_it1 != List.end()) {
+ v1 = *lp_it1;
+ if (v1->norm == p->norm) {
+ ++lp_it1;
+ continue;
+ }
+
+#ifdef EXTENSION_FILTERING
+ if (apply_filtering (p, v1)) {
+ ++lp_it1;
+ continue;
+ }
+#endif
+
+ lp_it2 = lp_it_k;
+ while (lp_it2 != List.end()) {
+ tmp_lp_it = lp_it2;
+ v2 = *lp_it2;
+ if (v2->norm <= v1->norm || v2->norm <= p->norm) {
+ ++lp_it2;
+ if (lp_it2 == List.end())
+ break;
+ continue;
+ }
+ ++lp_it2;
+ if (v1->norm < p->norm) {
+ vnew2 = new_listpoint<ZT>(nc);
+ if (check_3reduce(v1, p, v2, vnew2)!=1) {
+ List.erase(tmp_lp_it);
+ Queue.push(vnew2);
+ del_listpoint(v2);
+ }
+ else {
+ del_listpoint(vnew2);
+ }
+ }
+ else {
+ vnew2 = new_listpoint<ZT>(nc);
+ if (check_3reduce(p, v1, v2, vnew2)!=1) {
+ List.erase(tmp_lp_it);
+ del_listpoint(v2);
+ Queue.push(vnew2);
+ }
+ else
+ del_listpoint(vnew2);
+ }
+ }
+ ++lp_it1;
+ }
+ return p->norm;
+}
+
+
+/**
+ * 3-sieve
+ */
+template<class ZT, class F>
+bool GaussSieve<ZT, F>::run_3sieve ()
+{
+
+ ListPoint<ZT>* current_point;
+ NumVect<Z_NR<ZT> > vec(nc);
+ Z_NR<ZT> current_norm;
+
+ /* main iteration */
+ while ( (best_sqr_norm > goal_sqr_norm) &&
+ (collisions < mult * max_list_size + add) )
+ {
+ iterations++;
+ max_list_size = max(max_list_size, long(List.size()));
+
+ if (Queue.empty()) {
+ vec = Sampler->sample();
+ current_point = num_vec_to_list_point (vec, nc);
+ samples++;
+ }
+ else {
+ current_point = Queue.front();
+ Queue.pop();
+ }
+
+ current_norm = update_p_3reduce(current_point);
+
+#if 0
+ if (!check_3reduce_order_list<ZT>(List)) {
+ cout << "!!! Failed " << endl;
+ print_list(List);
+ exit(1);
+ }
+ else {
+ cout << "[check] OK " << endl;
+ cout << endl;
+ print_list(List);
+
+ }
+#endif
+
+ if (current_norm == 0)
+ collisions++;
+ if (current_norm > 0 && current_norm < best_sqr_norm) {
+ best_sqr_norm = current_norm;
+ }
+
+
+#if 1
+ print_curr_info();
+#endif
+
+ /* tuples of (iters, max_list_size) */
+ iters_norm.push_back (best_sqr_norm);
+ iters_ls.push_back (max_list_size);
+ }
+
+ /* finished main procedure, output some information */
+ print_final_info();
+
+#ifdef DEBUG_CHECK_3RED
+ if (check_3reduce_order_list<ZT>(List))
+ cout << "# [info] check 3-reduced OK" << endl;
+ else
+ cout << "# Error: check 3-reduced not OK" << endl;
+#endif
+ //print_list(List);
+
+ if (best_sqr_norm > goal_sqr_norm)
+ return false;
+ return true;
+}
--- /dev/null
+#include "sieve_gauss.h"
+#include <iterator>
+
+//#define DEBUG_CHECK_4RED
+
+
+/**
+ * auxiliary function, return the indicator of larger norms
+ */
+template<class ZT, class F>
+void GaussSieve<ZT, F>::update_p_4reduce_aux
+(ListPoint<ZT>* p, typename list<ListPoint<ZT> *>::iterator &lp_it_k)
+{
+ typename list<ListPoint<ZT> *>::iterator lp_it;
+ ListPoint<ZT>* v;
+ for (lp_it = List.begin(); lp_it != List.end(); ++lp_it) {
+ v = *lp_it;
+ if (p->norm < v->norm)
+ break;
+ }
+ lp_it_k = lp_it;
+}
+
+
+/**
+ * 3-reduce the point p w.r.t to the list
+ * Note p could be deleted !
+ */
+template<class ZT, class F>
+Z_NR<ZT> GaussSieve<ZT, F>::update_p_4reduce_3reduce (ListPoint<ZT>* p)
+{
+ typename list<ListPoint<ZT> *>::iterator lp_it1, lp_it2,
+ lp_it_k, tmp_lp_it;
+ ListPoint<ZT> *v1, *v2;
+ ListPoint<ZT> *vnew = new_listpoint<ZT>(nc);
+ ListPoint<ZT> *vnew2;
+ int count = 0;
+ Z_NR<ZT> current_norm;
+ bool loop = true;
+
+ /*
+ check_0_list(List);
+ cout << "# -- before inserting s1 " << p->v << endl;
+ cout << "# -- before inserting s1 " << p->norm << endl;
+ print_list(List);
+ */
+
+ while(loop) {
+ count ++;
+ loop = false;
+ lp_it_k = List.begin();
+
+ /* now p and L are 2-reduced and lp_it_k is the larger-norm-borderline */
+ current_norm = update_p_3reduce_2reduce (p, lp_it_k);
+
+ /* p has been deleted in another function, need only to delete vnew */
+ if (current_norm == 0) {
+ del_listpoint(vnew);
+ return current_norm;
+ }
+
+ /* ordered (v1, v2, p), 3-reduce p */
+ for (lp_it1 = List.begin(); lp_it1 != lp_it_k &&
+ lp_it1 != List.end(); ++lp_it1) {
+ if (loop)
+ break;
+ v1 = *lp_it1;
+ lp_it2 = lp_it1;
+ for (; lp_it2 != lp_it_k && lp_it2 != List.end(); ++lp_it2) {
+ v2 = *lp_it2;
+ if (v1->norm >= v2->norm || v2->norm >= p->norm ||
+ v1->norm >= p->norm)
+ continue;
+ if (check_3reduce(v1, v2, p, vnew)!=1) {
+ clone_listpoint(vnew, p);
+ loop = true;
+ break;
+ }
+ }
+ }
+ }
+
+ /*
+ cout << "# -- before inserting s2 " << p->v << endl;
+ cout << "# -- before inserting s2 " << p->norm << endl;
+ check_0_list(List);
+ print_list(List);
+ */
+
+ del_listpoint(vnew);
+ if (p->norm == 0) {
+ del_listpoint(p);
+ Z_NR<ZT> t;
+ t = 0;
+ return t;
+ }
+
+ /* 3-reduce (v1, p, v2) or (p, v1, v2) */
+ lp_it1 = List.begin();
+ while (lp_it1 != List.end()) {
+ v1 = *lp_it1;
+ if (v1->norm == p->norm) {
+ ++lp_it1; continue;
+ }
+ lp_it2 = lp_it_k;
+ while (lp_it2 != List.end()) {
+ tmp_lp_it = lp_it2;
+ v2 = *lp_it2;
+ if (v2->norm <= v1->norm || v2->norm <= p->norm) {
+ ++lp_it2;
+ if (lp_it2 == List.end())
+ break;
+ continue;
+ }
+ ++lp_it2;
+ if (v1->norm < p->norm) {
+ /*cout << "# --- here 1 " << endl;
+ cout << v1->norm << endl;
+ cout << p->norm << endl;
+ cout << v2->norm << endl;
+ check_0_list(List);
+ */
+ vnew2 = new_listpoint<ZT>(nc);
+ if (check_3reduce(v1, p, v2, vnew2)!=1) {
+ if (tmp_lp_it == lp_it_k) lp_it_k ++;
+ List.erase(tmp_lp_it);
+ Queue.push(vnew2);
+ del_listpoint(v2);
+ }
+ else {
+ del_listpoint(vnew2);
+ }
+ }
+ else {
+ vnew2 = new_listpoint<ZT>(nc);
+ if (check_3reduce(p, v1, v2, vnew2)!=1) {
+ if (tmp_lp_it == lp_it_k) lp_it_k ++;
+ List.erase(tmp_lp_it);
+ del_listpoint(v2);
+ Queue.push(vnew2);
+ }
+ else
+ del_listpoint(vnew2);
+ }
+ }
+ ++lp_it1;
+ }
+
+ return p->norm;
+}
+
+
+/**
+ * 4-reduce the point p w.r.t to the list
+ * after this, the list should be 4-reduced tuple-wisely.
+ * note p could be deleted
+ */
+template<class ZT, class F>
+Z_NR<ZT> GaussSieve<ZT, F>::update_p_4reduce (ListPoint<ZT>* p)
+{
+ typename list<ListPoint<ZT> *>::iterator lp_it1, lp_it2, lp_it3,
+ lp_it_k, tmp_lp_it;
+ ListPoint<ZT> *v1, *v2, *v3;
+ ListPoint<ZT> *vnew = new_listpoint<ZT>(nc);
+ ListPoint<ZT> *vnew2;
+ int count = 0;
+ Z_NR<ZT> current_norm;
+ bool loop = true;
+
+ while (loop) {
+ count ++;
+ loop = false;
+
+ /* 3-reduce p w.r.t list */
+ current_norm = update_p_4reduce_3reduce (p);
+
+ /* Here p has been deleted in another function, need only to
+ delete vnew */
+ if (current_norm == 0) {
+ del_listpoint(vnew);
+ return current_norm;
+ }
+
+ /* find indicator for larger norms */
+ update_p_4reduce_aux (p, lp_it_k);
+
+#if 0
+ if (!check_3reduce_order_list<ZT>(List)) {
+ cout << "!!! Failed [check 3-red]" << endl;
+ exit(1);
+ }
+ else {
+ cout << "[check 3-red] OK " << endl;
+ }
+#endif
+
+ /* case (v1, v2, v3, p) when p has largest norm */
+ for (lp_it1 = List.begin(); lp_it1 != lp_it_k &&
+ lp_it1 != List.end(); ++lp_it1) {
+ if (loop) break;
+ v1 = *lp_it1;
+ lp_it2 = lp_it1;
+ for (; lp_it2 != lp_it_k && lp_it2 != List.end(); ++lp_it2) {
+ if (loop) break;
+ v2 = *lp_it2;
+ lp_it3 = lp_it2;
+ if (v1->norm >= v2->norm || v2->norm >= p->norm ||
+ v1->norm >= p->norm)
+ continue;
+ for (; lp_it3 != lp_it_k && lp_it3 != List.end(); ++lp_it3) {
+ v3 = *lp_it3;
+ if (v1->norm >= v3->norm || v2->norm >= v3->norm ||
+ v3->norm >= p->norm )
+ continue;
+ if (check_4reduce(v1, v2, v3, p, vnew)!=1) {
+ clone_listpoint(vnew, p);
+ loop = true;
+ break;
+ }
+ }
+ }
+ }
+ }
+
+ del_listpoint(vnew);
+ List.insert(lp_it_k, p);
+ lp_it_k --;
+
+ /* 4-reduce (p, v1, v2, v3) or (v1, p, v2, v3) or (v1, v2, p, v3) */
+ lp_it1 = List.begin();
+ while (lp_it1 != List.end()) {
+ v1 = *lp_it1;
+ if (v1->norm == p->norm) {
+ ++lp_it1; continue;
+ }
+ lp_it2 = List.begin();
+ while (lp_it2 != List.end()) {
+ v2 = *lp_it2;
+ if ((v2->norm == p->norm) || (v2->norm == v1->norm)) {
+ ++lp_it2; continue;
+ }
+ lp_it3 = lp_it_k;
+ while (lp_it3 != List.end()) {
+ tmp_lp_it = lp_it3;
+ v3 = *lp_it3;
+ if (v3->norm <= v1->norm || v3->norm <= v2->norm
+ || v3->norm <= p->norm) {
+ ++lp_it3;
+ if (lp_it3 == List.end())
+ break;
+ continue;
+ }
+ ++lp_it3;
+ /* (v1, p, v2, v3) or (v1, v2, p, v3) */
+ if (v1->norm < p->norm) {
+ /* (v1, p, v2, v3) */
+ if (v2->norm > p->norm) {
+ vnew2 = new_listpoint<ZT>(nc);
+ if (check_4reduce(v1, p, v2, v3, vnew2)!=1) {
+ List.erase(tmp_lp_it);
+ Queue.push(vnew2);
+ del_listpoint(v3);
+ }
+ else {
+ del_listpoint(vnew2);
+ }
+ }
+ /* (v1, v2, p, v3) */
+ else {
+ vnew2 = new_listpoint<ZT>(nc);
+ if (check_4reduce(v1, v2, p, v3, vnew2)!=1) {
+ List.erase(tmp_lp_it);
+ Queue.push(vnew2);
+ del_listpoint(v3);
+ }
+ else {
+ del_listpoint(vnew2);
+ }
+ }
+ }
+ /* (p, v1, v2, v3) */
+ else {
+ vnew2 = new_listpoint<ZT>(nc);
+ if (check_4reduce(p, v1, v2, v3, vnew2)!=1) {
+ List.erase(tmp_lp_it);
+ Queue.push(vnew2);
+ del_listpoint(v3);
+ }
+ else {
+ del_listpoint(vnew2);
+ }
+ }
+ }
+ ++lp_it2;
+ }
+ ++lp_it1;
+ }
+
+ return p->norm;
+}
+
+
+/**
+ * 4-sieve
+ */
+template<class ZT, class F>
+bool GaussSieve<ZT, F>::run_4sieve () {
+
+ ListPoint<ZT>* current_point;
+ NumVect<Z_NR<ZT> > vec(nc);
+ Z_NR<ZT> current_norm;
+
+ /* main iteration */
+ while ( (best_sqr_norm > goal_sqr_norm) &&
+ (collisions < mult * max_list_size + 200) )
+ {
+ iterations++;
+ max_list_size = max(max_list_size, long(List.size()));
+
+ if (Queue.empty()) {
+ vec = Sampler->sample();
+ current_point = num_vec_to_list_point (vec, nc);
+ samples++;
+ }
+ else {
+ current_point = Queue.front();
+ Queue.pop();
+ }
+
+ current_norm = update_p_4reduce(current_point);
+
+#if 0
+ if (!check_4reduce_order_list<ZT>(List)) {
+ cout << "!!! Failed " << endl;
+ //print_list(List);
+ exit(1);
+ }
+ else {
+ cout << "[check 4-red] OK " << endl;
+ //print_list(List);
+ }
+#endif
+
+ if (current_norm == 0)
+ collisions++;
+ if (current_norm > 0 && current_norm < best_sqr_norm) {
+ best_sqr_norm = current_norm;
+ }
+
+#if 1
+ print_curr_info();
+#endif
+
+ /* tuples of (iters, max_list_size) */
+ iters_norm.push_back (best_sqr_norm);
+ iters_ls.push_back (max_list_size);
+ }
+
+ /* finished main procedure, output some information */
+ print_final_info();
+
+#ifdef DEBUG_CHECK_4RED
+ if (check_4reduce_order_list<ZT>(List))
+ cout << "# [info] check 4-reduced OK" << endl;
+ else
+ cout << "# Error: check 4-reduced not OK" << endl;
+#endif
+ //print_list(List);
+
+ if (best_sqr_norm > goal_sqr_norm)
+ return false;
+ return true;
+}
--- /dev/null
+#ifndef FPLLL_SIEVE_GAUSS_STR_H
+#define FPLLL_SIEVE_GAUSS_STR_H
+
+#include "sieve_common.h"
+
+#if 0
+extern long dot_time;
+extern long dot_num;
+extern long count_bad;
+#endif
+
+/**
+ * list point struct
+ */
+template<class ZT>
+class ListPoint {
+
+public:
+
+ /* vector */
+ NumVect<Z_NR<ZT> > v;
+
+ /* square L2 norm of the vector */
+ Z_NR<ZT> norm;
+
+};
+
+
+template<class ZT>
+inline ListPoint<ZT>* new_listpoint (int n)
+{
+ ListPoint<ZT>* p = new ListPoint<ZT>;
+ p->norm = 0;
+ p->v.resize(n);
+ for(int i = 0; i < n; ++i) {
+ p->v[i] = 0;
+ }
+ return p;
+}
+
+
+/**
+ * copy p1 to p2
+ */
+template<class ZT>
+void clone_listpoint ( ListPoint<ZT>* p1,
+ ListPoint<ZT>* p2 )
+{
+ int n = p1->v.size();
+ if (p2->v.size()!=n)
+ p2->v.resize(n);
+ p2->norm = p1->norm;
+ p2->v = p1->v;
+}
+
+
+/**
+ * set a of norm2 to p
+ */
+template<class ZT>
+void set_listpoint_numvect ( NumVect<Z_NR<ZT> > a,
+ Z_NR<ZT> norm2,
+ ListPoint<ZT>* p )
+{
+ int n = a.size();
+ if (p->v.size()!=n)
+ p->v.resize(n);
+ p->v = a;
+ p->norm = norm2;
+}
+
+
+template<class ZT>
+inline void del_listpoint (ListPoint<ZT>* p)
+{
+ delete p;
+}
+
+
+/**
+ * reduce p1 w.r.t to p2
+ * (TBA: optimize this function)
+ */
+template<class ZT>
+inline bool half_2reduce ( ListPoint<ZT>* p1,
+ const ListPoint<ZT>* p2 )
+{
+
+#if 0
+ struct timeval time;
+ gettimeofday(&time, 0);
+ long startt = 1000000 * time.tv_sec + time.tv_usec;
+#endif
+ /* debug info
+ int debug = 0;
+ if (debug) {
+ cout << "[debug] start reduction " << endl;
+ cout << "[debug] p1.norm() = " << p1->norm << endl;
+ cout << "[debug] p2.norm() = " << p2->norm << endl;
+ cout << "[debug] p1 = " << p1->v << endl;
+ cout << "[debug] p2 = " << p2->v << endl;
+ }
+ */
+ /* if 2*<p1,p2> <= |p2|^2, do nothing */
+ Z_NR<ZT> dot, t, s;
+
+#if 0
+ struct timeval time;
+ gettimeofday(&time, 0);
+ long startt = 1000000 * time.tv_sec + time.tv_usec;
+#endif
+
+ dot_product(dot, p1->v, p2->v);
+
+#if 0
+ gettimeofday(&time, 0);
+ long endt = 1000000 * time.tv_sec + time.tv_usec;
+ dot_time += endt-startt;
+ dot_num ++;
+#endif
+
+ t.mul_ui(dot, 2);
+ t.abs(t);
+ if (t <= p2->norm)
+ return false;
+
+ /* reduce p1 w.r.t to p2 (use dpe_t for now) */
+ //FP_NR<dpe_t> t1, t2;
+ FP_NR<double> t1, t2;
+ t1.set_z(dot);
+ t2.set_z(p2->norm);
+ t1.div(t1, t2, GMP_RNDN);
+ t1.rnd(t1);
+ t.set_f(t1);
+ NumVect<Z_NR<ZT> > vt((p1->v).size());
+ vt.mul(p2->v, t);
+ (p1->v).sub(vt);
+
+ /* update new norm of |p1| */
+ /* p1->norm = p1->norm + t * t * p2->norm - 2 * t * dot */
+ s.mul(t, t);
+ s.mul(s, p2->norm);
+ s.add(s, p1->norm);
+ t.mul_ui(t, 2);
+ t.mul(t, dot);
+ (p1->norm).sub(s, t);
+ /*
+ if (debug) {
+ cout << "[debug] p1new = " << p1->v << endl;
+ cout << "[debug] |p1new| = " << p1->norm << endl;
+ cout << "[debug] |v| = " << p2->norm << endl;
+ if (p1->norm <= p2->norm && p1->norm != 0)
+ exit(1);
+ }*/
+
+#if 0
+ gettimeofday(&time, 0);
+ long endt = 1000000 * time.tv_sec + time.tv_usec;
+ cout << "[info] red time " << endt-startt << endl;
+#endif
+
+ return true;
+}
+
+
+/***************************************************************/
+/***************************************************************/
+
+
+/**
+ * check if p1 and p2 are 2-reduced for ordered p1 and p2
+ */
+template<class ZT>
+inline bool check_2reduce_order ( const ListPoint<ZT>* p1,
+ const ListPoint<ZT>* p2 )
+{
+ Z_NR<ZT> dot, t;
+ dot_product(dot, p1->v, p2->v);
+ t.mul_ui(dot, 2);
+ t.abs(t);
+ if (t > p2->norm)
+ return 0;
+ return 1;
+}
+
+
+/**
+ * check if p1 and p2 are 2-reduced
+ */
+template<class ZT>
+inline bool check_2reduce ( const ListPoint<ZT>* p1,
+ const ListPoint<ZT>* p2 )
+{
+ if (p1->norm <= p2->norm)
+ return check_2reduce_order (p1, p2);
+ else
+ return check_2reduce_order (p2, p1);
+}
+
+
+/**
+ * check if the list is pairwisely 2-reduced
+ * the list needs to be ordered by norm which is ok in our context
+ */
+template<class ZT>
+inline bool check_2reduce_order_list (const list<ListPoint<ZT>* > List)
+{
+ typename list<ListPoint<ZT> *>::const_iterator i, j;
+ ListPoint<ZT> *v1, *v2;
+ for (i = List.begin(); i != List.end(); ++i) {
+ v1 = *i;
+ j = i;
+ advance(j,1);
+ for (; j != List.end(); ++j) {
+ v2 = *j;
+ if (!check_2reduce(v1, v2)) {
+ cout << v1->v << endl;
+ cout << v2->v << endl;
+ return 0;
+ }
+ }
+ }
+ return 1;
+}
+
+
+/***************************************************************/
+/***************************************************************/
+
+
+/**
+ * check if p1, p2 and p3 are 3-reduced for ordered p1, p2, p3
+ */
+template<class ZT>
+inline int check_3reduce_order ( const ListPoint<ZT>* p1,
+ const ListPoint<ZT>* p2,
+ const ListPoint<ZT>* p3,
+ ListPoint<ZT>* pnew )
+{
+ /* check 2-reduced condition */
+ if (!check_2reduce(p1, p2))
+ return 0;
+ if (!check_2reduce(p2, p3))
+ return 0;
+ if (!check_2reduce(p1, p3))
+ return 0;
+
+ /*
+ cout << " checking p1->v " << p1->v << endl;
+ cout << " checking p2->v " << p2->v << endl;
+ cout << " checking p3->v " << p3->v << endl;
+ cout << endl;
+ */
+
+ /* check 3-reduced condition */
+ Z_NR<ZT> dot12, dot13, dot23;
+ dot_product(dot12, p1->v, p2->v);
+ dot_product(dot13, p1->v, p3->v);
+ dot_product(dot23, p2->v, p3->v);
+
+ if (dot12.sgn()*dot13.sgn()*dot23.sgn() != -1)
+ return 1;
+ else {
+ NumVect<Z_NR<ZT> > a, b, c;
+ Z_NR<ZT> t;
+ a = p1->v;
+ b = p2->v;
+ c = p3->v;
+ a.addmul_si(b, -dot12.sgn());
+ a.addmul_si(c, -dot13.sgn());
+ dot_product(t, a, a);
+ if (t < p3->norm) {
+ set_listpoint_numvect(a, t, pnew);
+
+ /*
+ cout << p3->v << endl;
+ cout << p3->norm << endl;
+ cout << " new is " << endl;
+ cout << a << endl;
+ cout << t << endl;
+ */
+ return -1;
+ }
+ }
+ return 1;
+}
+
+
+/**
+ * check if v1, v2 and v3 are 3-reduced
+ */
+template<class ZT>
+inline int check_3reduce ( const ListPoint<ZT>* p1,
+ const ListPoint<ZT>* p2,
+ const ListPoint<ZT>* p3,
+ ListPoint<ZT>* pnew )
+{
+ if (p1->norm <= p2->norm) {
+ if (p2->norm <= p3->norm)
+ return check_3reduce_order (p1, p2, p3, pnew);
+ else if (p1->norm <= p3->norm)
+ return check_3reduce_order (p1, p3, p2, pnew);
+ else
+ return check_3reduce_order (p3, p1, p2, pnew);
+ }
+ else {
+ if (p1->norm <= p3->norm)
+ return check_3reduce_order (p2, p1, p3, pnew);
+ else if (p2->norm <= p3->norm)
+ return check_3reduce_order (p2, p3, p1, pnew);
+ else
+ return check_3reduce_order (p3, p2, p1, pnew);
+ }
+}
+
+
+/**
+ * check if the list is 3-reduced
+ * the list needs to be ordered by norm which is ok in our context
+ */
+template<class ZT>
+inline bool check_3reduce_order_list (const list<ListPoint<ZT>* > List)
+{
+ if (List.size() < 3)
+ return 1;
+ typename list<ListPoint<ZT> *>::const_iterator i, j, k;
+ ListPoint<ZT> *v1, *v2, *v3;
+ i = List.begin();
+ v1 = *i;
+ ListPoint<ZT> *vnew = new_listpoint<ZT>(v1->v.size());
+ for (i = List.begin(); i != List.end(); ++i) {
+ v1 = *i;
+ j = i;
+ for (; j != List.end(); ++j) {
+ v2 = *j;
+ k = j;
+ if (v1->norm >= v2->norm)
+ continue;
+ for (; k != List.end(); ++k) {
+ v3 = *k;
+ if ( v2->norm >= v3->norm ||
+ v1->norm >= v3->norm)
+ continue;
+ if (check_3reduce(v1, v2, v3, vnew)!=1) {
+ cout << " Error on vector: " << endl;
+ cout << v1->v << endl;
+ cout << v2->v << endl;
+ cout << v3->v << endl;
+#if 0
+ count_bad ++;
+ cout << " # bad pairs " << count_bad << endl;
+#endif
+ //del_listpoint(vnew);
+ //return 0;
+ }
+ }
+ }
+ }
+ del_listpoint(vnew);
+ return 1;
+}
+
+
+/***************************************************************/
+/***************************************************************/
+
+
+/**
+ * check if p1, p2, p3 and p4 are 4-reduced for ordered p1, p2, p3, p4
+ */
+template<class ZT>
+inline int check_4reduce_order ( const ListPoint<ZT>* p1,
+ const ListPoint<ZT>* p2,
+ const ListPoint<ZT>* p3,
+ const ListPoint<ZT>* p4,
+ ListPoint<ZT>* p4new )
+{
+
+ if ((p1->norm >= p2->norm) || (p2->norm >= p3->norm) ||
+ (p3->norm >= p4->norm))
+ {
+ cout << "error , please debug, this function can only used in order" << endl;
+ exit(1);
+ }
+
+ /* check 2-reduced condition */
+ if (!check_2reduce(p1, p2))
+ return 0;
+ if (!check_2reduce(p1, p3))
+ return 0;
+ if (!check_2reduce(p1, p4))
+ return 0;
+ if (!check_2reduce(p2, p3))
+ return 0;
+ if (!check_2reduce(p2, p4))
+ return 0;
+ if (!check_2reduce(p3, p4))
+ return 0;
+
+ /* check 3-reduced condition */
+ ListPoint<ZT> *pnew = new_listpoint<ZT>(p1->v.size());
+ if (!check_3reduce(p1, p2, p3, pnew)) {
+ del_listpoint(pnew);
+ return 0;
+ }
+ if (!check_3reduce(p1, p2, p4, pnew)) {
+ del_listpoint(pnew);
+ return 0;
+ }
+ if (!check_3reduce(p1, p3, p4, pnew)) {
+ del_listpoint(pnew);
+ return 0;
+ }
+ if (!check_3reduce(p2, p3, p4, pnew)) {
+ del_listpoint(pnew);
+ return 0;
+ }
+ del_listpoint(pnew);
+
+ /*
+ cout << " checking p1->v " << p1->v << endl;
+ cout << " checking p2->v " << p2->v << endl;
+ cout << " checking p3->v " << p3->v << endl;
+ cout << " checking p4->v " << p4->v << endl;
+ cout << endl;
+ */
+
+ /* check 4-reduced condition */
+ ListPoint<ZT> *p4_update = new_listpoint<ZT>(p4->v.size());
+ set_listpoint_numvect(p4->v, p4->norm, p4_update);
+ int flag = 1;
+ for (int i = -1; i <= 1; i+=2) {
+ for (int j = -1; j <= 1; j+=2) {
+ for (int k = -1; k <= 1; k+=2) {
+ NumVect<Z_NR<ZT> > a, b, c, sum;
+ Z_NR<ZT> t;
+ a = p1->v;
+ b = p2->v;
+ c = p3->v;
+ sum = p4_update->v;
+ sum.addmul_si(a, i);
+ sum.addmul_si(b, j);
+ sum.addmul_si(c, k);
+ dot_product(t, sum, sum);
+ if (t < p4_update->norm) {
+ flag = 0;
+ /*
+ cout << "t:" << t << endl;
+ cout << "sum:" << sum << endl;
+ cout << "p4->norm:" << p4_update->norm << endl;
+ cout << "p4->v:" << p4_update->v << endl;
+ */
+ set_listpoint_numvect(sum, t, p4_update);
+ /*
+ cout << "ne p4->v:" << p4_update->v << endl;
+ cout << p4_update->v << endl;
+ cout << p4_update->norm << endl;
+ cout << " new is " << endl;
+ cout << endl;
+ */
+ }
+ }
+ }
+ }
+
+ if (flag==0) {
+ set_listpoint_numvect(p4_update->v, p4_update->norm, p4new);
+ del_listpoint(p4_update);
+ return -1;
+ }
+ else {
+ del_listpoint(p4_update);
+ return 1;
+ }
+}
+
+
+/**
+ * check if v1, v2, v3 and v4 are 4-reduced
+ */
+template<class ZT>
+inline int check_4reduce ( ListPoint<ZT>* p1,
+ ListPoint<ZT>* p2,
+ ListPoint<ZT>* p3,
+ ListPoint<ZT>* p4,
+ ListPoint<ZT>* p4new )
+{
+ NumVect<Z_NR<ZT> > index;
+ index.push_back(p1->norm);
+ index.push_back(p2->norm);
+ index.push_back(p3->norm);
+ index.push_back(p4->norm);
+ std::sort (index.begin(), index.end());
+ ListPoint<ZT> *s1 = NULL;
+ ListPoint<ZT> *s2 = NULL;
+ ListPoint<ZT> *s3 = NULL;
+ ListPoint<ZT> *s4 = NULL;
+
+ if (p1->norm == index[0])
+ s1 = p1;
+ else if (p2->norm == index[0])
+ s1 = p2;
+ else if (p3->norm == index[0])
+ s1 = p3;
+ else if (p4->norm == index[0])
+ s1 = p4;
+
+ if (p1->norm == index[1])
+ s2 = p1;
+ else if (p2->norm == index[1])
+ s2 = p2;
+ else if (p3->norm == index[1])
+ s2 = p3;
+ else if (p4->norm == index[1])
+ s2 = p4;
+
+ if (p1->norm == index[2])
+ s3 = p1;
+ else if (p2->norm == index[2])
+ s3 = p2;
+ else if (p3->norm == index[2])
+ s3 = p3;
+ else if (p4->norm == index[2])
+ s3 = p4;
+
+ if (p1->norm == index[3])
+ s4 = p1;
+ else if (p2->norm == index[3])
+ s4 = p2;
+ else if (p3->norm == index[3])
+ s4 = p3;
+ else if (p4->norm == index[3])
+ s4 = p4;
+
+ return check_4reduce_order (s1, s2, s3, s4, p4new);
+}
+
+
+/**
+ * check if the list is 4-reduced
+ * the list needs to be ordered by norm which is ok in our context
+ */
+template<class ZT>
+inline bool check_4reduce_order_list (const list<ListPoint<ZT>* > List)
+{
+ typename list<ListPoint<ZT> *>::const_iterator i, j, k, l;
+ ListPoint<ZT> *v1, *v2, *v3, *v4;
+ i = List.begin();
+ v1 = *i;
+ ListPoint<ZT> *p4new = new_listpoint<ZT>(v1->v.size());
+ for (i = List.begin(); i != List.end(); ++i) {
+ v1 = *i;
+ j = i;
+ for (; j != List.end(); ++j) {
+ v2 = *j;
+ k = j;
+ if (v1->norm >= v2->norm)
+ continue;
+ for (; k != List.end(); ++k) {
+ v3 = *k;
+ l = k;
+ if ( v2->norm >= v3->norm ||
+ v1->norm >= v3->norm)
+ continue;
+ for (; l != List.end(); ++l) {
+ v4 = *l;
+ if ( v3->norm >= v4->norm ||
+ v2->norm >= v4->norm ||
+ v1->norm >= v4->norm )
+ continue;
+ if (check_4reduce (v1, v2, v3, v4, p4new)!=1) {
+ cout << " Error on vector: " << endl;
+ cout << v1->v << endl;
+ cout << v2->v << endl;
+ cout << v3->v << endl;
+ cout << v4->v << endl;
+ del_listpoint(p4new);
+ return 0;
+ }
+ }
+ }
+ }
+ }
+ del_listpoint(p4new);
+ return 1;
+}
+
+
+/**
+ * print current list
+ */
+template<class ZT>
+inline void print_list (const list<ListPoint<ZT>* > List)
+
+{
+ typename list<ListPoint<ZT>* >::const_iterator lp_it;
+ for (lp_it = List.begin(); lp_it != List.end(); ++lp_it) {
+ ///*
+ cout << (*lp_it)->v << ", ";
+ cout << (*lp_it)->norm << endl;
+ //*/
+ //cout << (*lp_it)->v << endl;
+ }
+}
+
+
+/**
+ * print current list
+ */
+template<class ZT>
+inline void check_0_list (const list<ListPoint<ZT>* > List)
+
+{
+ typename list<ListPoint<ZT>* >::const_iterator lp_it;
+ for (lp_it = List.begin(); lp_it != List.end(); ++lp_it) {
+ if ((*lp_it)->norm == 0) {
+ cout << " error, list containing zero vector " << endl;
+ exit(1);
+ }
+ }
+}
+
+/**
+ * Use to convert MatrixRow to ListPoint
+ */
+template<class ZT>
+inline void matrix_row_to_list_point ( const MatrixRow<Z_NR<ZT> > &row,
+ ListPoint<ZT>* p )
+{
+ int dims = row.size();
+ //(p->v) (dims);
+ p->v.resize(dims);
+ p->norm = 0;
+ Z_NR<ZT> t;
+ for(int i = 0; i < dims; i++) {
+ p->v[i] = row[i];
+ t.mul(p->v[i], p->v[i]);
+ p->norm.add(p->norm, t);
+ }
+}
+
+
+/**
+ * Use to convert sample() results NumVect to ListPoint
+ */
+template<class ZT>
+inline ListPoint<ZT>* num_vec_to_list_point ( const NumVect<Z_NR<ZT> > &vec,
+ int n )
+{
+ ListPoint<ZT> *p = new_listpoint<ZT>(n);
+ int dims = vec.size();
+ p->v.resize(dims);
+ p->norm = 0;
+ Z_NR<ZT> t;
+ for(int i = 0; i < dims; i++) {
+ p->v[i] = vec[i];
+ t.mul(p->v[i], p->v[i]);
+ p->norm.add(p->norm, t);
+ }
+ return p;
+}
+
+
+template<class ZT>
+bool apply_filtering ( const ListPoint<ZT>* p1,
+ const ListPoint<ZT>* p2 )
+{
+ Z_NR<ZT> dot;
+ dot_product(dot, p1->v, p2->v);
+ //cout << " dot is " << dot << endl;
+ double t, t1, t2;
+ t = dot.get_d();
+ t = t * t;
+ t1 = (p1->norm).get_d();
+ t2 = (p2->norm).get_d();
+ t = t / t1;
+ t = t / t2;
+ t = abs(sqrt(t));
+ if (t >= 1/3.0)
+ return false;
+ else
+ return true;
+}
+
+#endif
--- /dev/null
+/*
+ This provides an implementation of Gauss sieving, including using
+ tuples of vectors in fplll framework. The Gauss Sieve code is
+ based on Panagiotis Voulgaris's implementation of the Gauss sieve.
+*/
+#include "fplll.h"
+#include "sieve_main.h"
+
+/**
+ * help function
+ */
+static void
+main_usage (char *myself) {
+ cout << "Usage: " << myself << " [options]\n"
+ << "List of options:\n"
+ << " -a [2|3|4]\n"
+ << " 2- or 3- or 4-sieve;\n"
+ << " -f filename\n"
+ << " Input filename\n"
+ << " -r nnn\n"
+ << " Generate a random instance of dimension nnn\n"
+ << " -t nnn\n"
+ << " Targeted norm^2=nnn\n"
+ << " -s nnn\n"
+ << " Using seed=nnn\n"
+ << " -b nnn\n"
+ << " BKZ preprocessing of blocksize=nnn\n"
+ << " -v\n"
+ << " Verbose mode\n";
+ exit(0);
+}
+
+
+/**
+ * run sieve
+ */
+template<class ZT>
+int main_run_sieve (ZZ_mat<ZT> B, Z_NR<ZT> goal_norm, int alg, int ver, int seed)
+{
+ GaussSieve<ZT, FP_NR<double> > gsieve(B, alg, ver, seed);
+ gsieve.set_goal_norm2 (goal_norm);
+ if (gsieve.alg == 3)
+ gsieve.run_3sieve();
+ else if (gsieve.alg == 4)
+ gsieve.run_4sieve();
+ else
+ gsieve.run_2sieve();
+
+ return 0;
+}
+
+
+/**
+ * main function
+ */
+int main (int argc, char** argv)
+{
+ char* input_file_name = NULL;
+ char* goal_norm_s = NULL;
+ bool flag_verbose = false, flag_file = false;
+ int option, alg, dim = 10, seed=0, bs=0;
+
+#if 0
+ dot_time = 0;
+ dot_num = 0;
+ count_bad = 0;
+#endif
+
+ alg = 2;
+
+ /* parse */
+ if (argc==1) {
+ main_usage(argv[0]);
+ return -1;
+ }
+ while((option = getopt (argc, argv, "a:f:r:t:s:b:v")) != -1) {
+ switch (option) {
+ case 'a':
+ alg = atoi(optarg);
+ if (alg != 2 && alg != 3 && alg != 4) {
+ cout << " Error, only support 2-, 3- and 4-sieve" <<endl;
+ exit(1);
+ }
+ case 'f':
+ input_file_name = optarg;
+ flag_file = true;
+ break;
+ case 'r':
+ dim = atoi(optarg);
+ flag_file = false;
+ break;
+ case 's':
+ seed = atoi(optarg);
+ break;
+ case 'b':
+ bs = atoi(optarg);
+ break;
+ case 'v':
+ flag_verbose = true;
+ break;
+ case 't':
+ //ngoal_norm = atol(optarg);
+ cout << optarg << endl;
+ goal_norm_s = optarg;
+ break;
+ case 'h':
+ main_usage(argv[0]);
+ return -1;
+ case '?':
+ main_usage(argv[0]);
+ return -1;
+ case ':':
+ main_usage(argv[0]);
+ return -1;
+ }
+ }
+
+ /* set lattice */
+ ZZ_mat<mpz_t> B;
+ if (flag_file) {
+ ifstream input_file(input_file_name);
+ if (input_file.is_open()) {
+ input_file >> B;
+ input_file.close();
+ }
+ else {
+ cin >> B;
+ }
+ if(flag_verbose) {
+ cout << "# [info] reading lattice of dimension "
+ << B.get_rows() << "x" << B.get_cols() << endl;
+ }
+ }
+ else {
+ if(flag_verbose) {
+ cout << "# [info] generating random lattice of dimension "
+ << dim << endl;
+ }
+ srand (time(NULL));
+ B.resize(dim, dim);
+ B.gen_trg(1.1);
+ }
+
+ /* set targeted norm */
+ Z_NR<mpz_t> goal_norm, max;
+ if (goal_norm_s != NULL) {
+ goal_norm.set_str(goal_norm_s);
+ }
+ if (goal_norm < 0)
+ goal_norm = 0;
+ if(flag_verbose)
+ cout << "# [info] goal norm^2 is " << goal_norm << endl;
+
+ /* preprocessing of basis */
+ clock_t stime = clock();
+ if (bs > 0)
+ bkz_reduction(B, bs, BKZ_DEFAULT, FT_DEFAULT, 0);
+ else
+ lll_reduction(B, LLL_DEF_DELTA, LLL_DEF_ETA, LM_WRAPPER);
+
+ clock_t etime = clock();
+ double secs = (etime - stime) / (double) CLOCKS_PER_SEC;
+ if(flag_verbose) {
+ if (bs > 0)
+ cout << "# [info] BKZ took time " << secs << " s" << endl;
+ else
+ cout << "# [info] LLL took time " << secs << " s" << endl;
+ }
+ //cout << B << endl;
+
+ /* decide integer type */
+ stime = clock();
+ max = B.get_max();
+
+#if 1
+ if (max < std::numeric_limits<int>::max()) {
+ long goal_norm_l = abs(goal_norm.get_si());
+ Z_NR<long> goal_norm_lt;
+ goal_norm_lt = goal_norm_l;
+ ZZ_mat<long> B2(B.get_rows(),B.get_cols());
+ for (int i = 0; i < B.get_rows(); i ++)
+ for (int j = 0; j < B.get_cols(); j ++)
+ B2(i, j) = B(i, j).get_si();
+ main_run_sieve<long>(B2, goal_norm_lt, alg, flag_verbose, seed);
+ }
+ else
+#endif
+ main_run_sieve<mpz_t>(B, goal_norm, alg, flag_verbose, seed);
+
+ etime = clock();
+ secs = (etime - stime) / (double) CLOCKS_PER_SEC;
+ if(flag_verbose) {
+ cout << "# [info] sieve took time " << secs << " s" << endl;
+ /* dot product time */
+#if 0
+ cout << "# [info] dot_time " << dot_time << endl;
+ cout << "# [info] dot_num " << dot_num << endl;
+ cout << "# [info] dot_time/dot_number " << (double) dot_time/dot_num << endl;
+#endif
+ }
+ return 1;
+}
--- /dev/null
+#include "sieve_gauss.h"
+#include <unistd.h>
+#include <getopt.h>
+#include <stdio.h>
+#include <iostream>
+#include <fstream>
+
+#if 0
+long dot_time;
+long dot_num;
+long count_bad;
+#endif
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol.
+ (C) 2015 Michael Walter.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "svpcvp.h"
+#include "enum/enumerate.h"
+#include "enum/topenum.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+/* Shortest vector problem
+ ======================= */
+
+/* Returns i such that the shortest vector of L(b) belongs to
+ L(b_0,...,b_(i-1)), assuming that the error on rdiag's is less than 100%.
+ If b is LLL-reduced, then for any reasonnable dimension,
+ max(rdiag[0],...,rdiag[i-1]) / min(rdiag[0],...,rdiag[i-1])
+ is much smaller than numeric_limits<double>::max */
+static int last_useful_index(const Matrix<Float> &r)
+{
+ int i;
+ Float rdiag_min_value;
+ rdiag_min_value.mul_2si(r(0, 0), 1);
+ for (i = r.get_rows() - 1; i > 0; i--)
+ {
+ if (r(i, i) <= rdiag_min_value)
+ break;
+ }
+ return i + 1;
+}
+
+/* Finds the shortest vector of the basis b and returns its squared norm in
+ basisMin */
+static void get_basis_min(Integer &basis_min, const IntMatrix &b, int first, int last)
+{
+ Integer sq_norm;
+ int n = b.get_cols();
+ sqr_norm(basis_min, b[first], n);
+
+ for (int i = first + 1; i < last; i++)
+ {
+ sqr_norm(sq_norm, b[i], n);
+ if (sq_norm < basis_min)
+ basis_min = sq_norm;
+ }
+}
+
+static bool enumerate_svp(int d, MatGSO<Integer, Float> &gso, Float &max_dist,
+ Evaluator<Float> &evaluator, const vector<enumf> &pruning, int flags)
+{
+ Enumeration<Float> enumobj(gso, evaluator);
+ bool dual = (flags & SVP_DUAL);
+ if (d == 1 || !pruning.empty() || dual)
+ {
+ enumobj.enumerate(0, d, max_dist, 0, vector<Float>(), vector<enumxt>(), pruning, dual);
+ }
+ else
+ {
+ Enumerator enumerator(d, gso.get_mu_matrix(), gso.get_r_matrix());
+ while (enumerator.enum_next(max_dist))
+ {
+ if (flags & SVP_VERBOSE)
+ {
+ evaluator.new_sol_flag = false;
+ cerr << enumerator.get_sub_tree();
+ if (evaluator.eval_mode != EVALMODE_SV)
+ cerr << " (count=2*" << evaluator.sol_count << ")";
+ }
+
+ /* Enumerates short vectors only in enumerator.get_sub_tree()
+ (about maxVolume iterations or less) */
+ enumobj.enumerate(0, d, max_dist, 0, FloatVect(), enumerator.get_sub_tree(), pruning);
+
+ if (flags & SVP_VERBOSE)
+ {
+ cerr << "\r" << (char)27 << "[K";
+ if (evaluator.eval_mode == EVALMODE_SV && evaluator.new_sol_flag)
+ cerr << "Solution norm^2=" << evaluator.last_partial_dist
+ << " value=" << evaluator.sol_coord << endl;
+ }
+ }
+ }
+ return !evaluator.sol_coord.empty();
+}
+
+static int shortest_vector_ex(IntMatrix &b, IntVect &sol_coord, SVPMethod method,
+ const vector<double> &pruning, int flags, EvaluatorMode eval_mode,
+ long long &sol_count, vector<IntVect> *subsol_coord = nullptr,
+ vector<enumf> *subsol_dist = nullptr)
+{
+ bool findsubsols = (subsol_coord != nullptr) && (subsol_dist != nullptr);
+
+ // d = lattice dimension (note that it might decrease during preprocessing)
+ int d = b.get_rows();
+ // n = dimension of the space
+ int n = b.get_cols();
+
+ FPLLL_CHECK(d > 0 && n > 0, "shortestVector: empty matrix");
+ FPLLL_CHECK(d <= n, "shortestVector: number of vectors > size of the vectors");
+
+ // Sets the floating-point precision
+ // Error bounds on GSO are valid if prec >= minprec
+ double rho;
+ int min_prec = gso_min_prec(rho, d, LLL_DEF_DELTA, LLL_DEF_ETA);
+ int prec = max(53, min_prec + 10);
+ int old_prec = Float::set_prec(prec);
+
+ // Allocates space for vectors and matrices in constructors
+ IntMatrix empty_mat;
+ MatGSO<Integer, Float> gso(b, empty_mat, empty_mat, GSO_INT_GRAM);
+ Float max_dist;
+ Integer int_max_dist;
+ Integer itmp1;
+
+ // Computes the Gram-Schmidt orthogonalization in floating-point
+ gso.update_gso();
+ gen_zero_vect(sol_coord, d);
+
+ // If the last b_i* are too large, removes them to avoid an underflow
+ int new_d = last_useful_index(gso.get_r_matrix());
+ if (new_d < d)
+ {
+ // FPLLL_TRACE("Ignoring the last " << d - new_d << " vector(s)");
+ d = new_d;
+ }
+
+ if (flags & SVP_DUAL)
+ {
+ max_dist = 1.0 / gso.get_r_exp(d - 1, d - 1);
+ if (flags & SVP_VERBOSE)
+ {
+ cout << "max_dist = " << max_dist << endl;
+ }
+ }
+ else
+ {
+ /* Computes a bound for the enumeration. This bound would work for an
+ exact algorithm, but we will increase it later to ensure that the fp
+ algorithm finds a solution */
+ get_basis_min(int_max_dist, b, 0, d);
+ max_dist.set_z(int_max_dist, GMP_RNDU);
+ }
+
+ // Initializes the evaluator of solutions
+ Evaluator<Float> *evaluator;
+ if (method == SVPM_FAST)
+ {
+ evaluator = new FastEvaluator<Float>(d, gso.get_mu_matrix(), gso.get_r_matrix(), eval_mode, 0,
+ findsubsols);
+ }
+ else if (method == SVPM_PROVED)
+ {
+ ExactEvaluator *p = new ExactEvaluator(d, b, gso.get_mu_matrix(), gso.get_r_matrix(), eval_mode,
+ 0, findsubsols);
+ p->int_max_dist = int_max_dist;
+ evaluator = p;
+ }
+ else
+ {
+ FPLLL_ABORT("shortestVector: invalid evaluator type");
+ }
+ evaluator->init_delta_def(prec, rho, true);
+
+ if (!(flags & SVP_OVERRIDE_BND) && (eval_mode == EVALMODE_SV || method == SVPM_PROVED))
+ {
+ Float ftmp1;
+ bool result = evaluator->get_max_error_aux(max_dist, true, ftmp1);
+ FPLLL_CHECK(result, "shortestVector: cannot compute an initial bound");
+ max_dist.add(max_dist, ftmp1, GMP_RNDU);
+ }
+
+ // Main loop of the enumeration
+ enumerate_svp(d, gso, max_dist, *evaluator, pruning, flags);
+
+ int result = RED_ENUM_FAILURE;
+ if (eval_mode != EVALMODE_SV)
+ {
+ result = RED_SUCCESS;
+ sol_count = evaluator->sol_count * 2;
+ }
+ else if (!evaluator->sol_coord.empty())
+ {
+ /*Float fMaxError;
+ validMaxError = evaluator->get_max_error(fMaxError);
+ max_error = fMaxError.get_d(GMP_RNDU);*/
+ for (int i = 0; i < d; i++)
+ {
+ itmp1.set_f(evaluator->sol_coord[i]);
+ sol_coord[i].add(sol_coord[i], itmp1);
+ }
+ result = RED_SUCCESS;
+ }
+
+ if (findsubsols)
+ {
+ subsol_coord->clear();
+ subsol_dist->clear();
+ subsol_dist->resize(evaluator->sub_sol_coord.size());
+ for (size_t i = 0; i < evaluator->sub_sol_coord.size(); ++i)
+ {
+ (*subsol_dist)[i] = evaluator->sub_sol_dist[i];
+
+ IntVect ss_c;
+ for (size_t j = 0; j < evaluator->sub_sol_coord[i].size(); ++j)
+ {
+ itmp1.set_f(evaluator->sub_sol_coord[i][j]);
+ ss_c.emplace_back(itmp1);
+ }
+ subsol_coord->emplace_back(std::move(ss_c));
+ }
+ }
+
+ delete evaluator;
+ Float::set_prec(old_prec);
+ return result;
+}
+
+int shortest_vector(IntMatrix &b, IntVect &sol_coord, SVPMethod method, int flags)
+{
+ long long tmp;
+ return shortest_vector_ex(b, sol_coord, method, vector<double>(), flags, EVALMODE_SV, tmp);
+}
+
+int shortest_vector_pruning(IntMatrix &b, IntVect &sol_coord, const vector<double> &pruning,
+ int flags)
+{
+ long long tmp;
+ return shortest_vector_ex(b, sol_coord, SVPM_FAST, pruning, flags, EVALMODE_SV, tmp);
+}
+
+int shortest_vector_pruning(IntMatrix &b, IntVect &sol_coord, vector<IntVect> &subsol_coord,
+ vector<enumf> &subsol_dist, const vector<double> &pruning, int flags)
+{
+ long long tmp;
+ return shortest_vector_ex(b, sol_coord, SVPM_FAST, pruning, flags, EVALMODE_SV, tmp,
+ &subsol_coord, &subsol_dist);
+}
+
+/* Closest vector problem
+ ====================== */
+
+static void get_gscoords(const Matrix<Float> &matrix, const Matrix<Float> &mu,
+ const Matrix<Float> &r, const FloatVect &v, FloatVect &vcoord)
+{
+
+ int n = matrix.get_rows(), m = matrix.get_cols();
+
+ if (static_cast<int>(vcoord.size()) != n)
+ vcoord.resize(n);
+ FPLLL_DEBUG_CHECK(mu.get_rows() == n && mu.get_cols() == n && r.get_rows() == n &&
+ r.get_cols() == n && static_cast<int>(v.size()) == m);
+
+ for (int i = 0; i < n; i++)
+ {
+ vcoord[i] = 0.0;
+ for (int j = 0; j < m; j++)
+ vcoord[i].addmul(v[j], matrix(i, j));
+ for (int j = 0; j < i; j++)
+ vcoord[i].submul(mu(i, j), vcoord[j]);
+ }
+ for (int i = 0; i < n; i++)
+ {
+ vcoord[i].div(vcoord[i], r(i, i));
+ }
+}
+
+static void babai(const FloatMatrix &matrix, const Matrix<Float> &mu, const Matrix<Float> &r,
+ const FloatVect &target, FloatVect &target_coord)
+{
+
+ int d = matrix.get_rows();
+ get_gscoords(matrix, mu, r, target, target_coord);
+ for (int i = d - 1; i >= 0; i--)
+ {
+ target_coord[i].rnd(target_coord[i]);
+ for (int j = 0; j < i; j++)
+ target_coord[j].submul(mu(i, j), target_coord[i]);
+ }
+}
+
+int closest_vector(IntMatrix &b, const IntVect &int_target, IntVect &sol_coord, int flags)
+{
+ // d = lattice dimension (note that it might decrease during preprocessing)
+ int d = b.get_rows();
+ // n = dimension of the space
+ int n = b.get_cols();
+
+ FPLLL_CHECK(d > 0 && n > 0, "closestVector: empty matrix");
+ FPLLL_CHECK(d <= n, "closestVector: number of vectors > size of the vectors");
+
+ // Sets the floating-point precision
+ // Error bounds on GSO are valid if prec >= minprec
+ double rho;
+ int min_prec = gso_min_prec(rho, d, LLL_DEF_DELTA, LLL_DEF_ETA);
+ int prec = max(53, min_prec + 10);
+ int old_prec = Float::set_prec(prec);
+
+ // Allocates space for vectors and matrices in constructors
+ IntMatrix empty_mat;
+ MatGSO<Integer, Float> gso(b, empty_mat, empty_mat, GSO_INT_GRAM);
+ FloatVect target_coord;
+ Float max_dist;
+ Integer itmp1;
+
+ // Computes the Gram-Schmidt orthogonalization in floating-point
+ gso.update_gso();
+ gen_zero_vect(sol_coord, d);
+
+ /* Applies Babai's algorithm. Because we use fp, it might be necessary to
+ do it several times (if ||target|| >> ||b_i||) */
+ FloatMatrix float_matrix(d, n);
+ FloatVect target(n), babai_sol;
+ IntVect int_new_target = int_target;
+
+ for (int i = 0; i < d; i++)
+ for (int j = 0; j < n; j++)
+ float_matrix(i, j).set_z(b(i, j));
+
+ for (int loop_idx = 0;; loop_idx++)
+ {
+ if (loop_idx >= 0x100 && ((loop_idx & (loop_idx - 1)) == 0))
+ FPLLL_INFO("warning: possible infinite loop in Babai's algorithm");
+
+ for (int i = 0; i < n; i++)
+ {
+ target[i].set_z(int_new_target[i]);
+ }
+ babai(float_matrix, gso.get_mu_matrix(), gso.get_r_matrix(), target, babai_sol);
+ int idx;
+ for (idx = 0; idx < d && babai_sol[idx] >= -1 && babai_sol[idx] <= 1; idx++)
+ {
+ }
+ if (idx == d)
+ break;
+
+ for (int i = 0; i < d; i++)
+ {
+ itmp1.set_f(babai_sol[i]);
+ sol_coord[i].add(sol_coord[i], itmp1);
+ for (int j = 0; j < n; j++)
+ int_new_target[j].submul(itmp1, b(i, j));
+ }
+ }
+ // FPLLL_TRACE("BabaiSol=" << sol_coord);
+ get_gscoords(float_matrix, gso.get_mu_matrix(), gso.get_r_matrix(), target, target_coord);
+
+ /* Computes a very large bound to make the algorithm work
+ until the first solution is found */
+ max_dist = 0.0;
+ for (int i = 1; i < d; i++)
+ {
+ // get_r_exp(i, i) = r(i, i) because gso is initialized without GSO_ROW_EXPO
+ max_dist.add(max_dist, gso.get_r_exp(i, i));
+ }
+
+ FastEvaluator<Float> evaluator(n, gso.get_mu_matrix(), gso.get_r_matrix(), EVALMODE_CV);
+
+ // Main loop of the enumeration
+ Enumeration<Float> enumobj(gso, evaluator);
+ enumobj.enumerate(0, d, max_dist, 0, target_coord, vector<enumxt>(), vector<enumf>());
+
+ int result = RED_ENUM_FAILURE;
+ if (!evaluator.sol_coord.empty())
+ {
+ // FPLLL_TRACE("evaluator.sol_coord=" << evaluator.sol_coord);
+ if (flags & CVP_VERBOSE)
+ FPLLL_INFO("max_dist=" << max_dist);
+ for (int i = 0; i < d; i++)
+ {
+ itmp1.set_f(evaluator.sol_coord[i]);
+ sol_coord[i].add(sol_coord[i], itmp1);
+ }
+ result = RED_SUCCESS;
+ }
+
+ Float::set_prec(old_prec);
+ return result;
+}
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2008-2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+/** \file svpcvp.h
+ Shortest vector problem. */
+
+#ifndef FPLLL_SVPCVP_H
+#define FPLLL_SVPCVP_H
+
+#include "util.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+/**
+ * Computes a shortest vector of a lattice.
+ * The vectors must be linearly independant and the basis must be LLL-reduced
+ * with delta=LLL_DEF_DELTA and eta=LLL_DEF_ETA.
+ * The result is guaranteed if method = SVPM_PROVED.
+ */
+int shortest_vector(IntMatrix &b, IntVect &sol_coord, SVPMethod method = SVPM_PROVED,
+ int flags = SVP_DEFAULT);
+
+int shortest_vector_pruning(IntMatrix &b, IntVect &sol_coord, const vector<double> &pruning,
+ int flags = SVP_DEFAULT);
+
+int shortest_vector_pruning(IntMatrix &b, IntVect &sol_coord, vector<IntVect> &subsol_coord,
+ vector<double> &subsol_dist, const vector<double> &pruning,
+ int flags = SVP_DEFAULT);
+
+// Experimental. Do not use.
+int closest_vector(IntMatrix &b, const IntVect &int_target, vector<Integer> &sol_coord,
+ int flags = CVP_DEFAULT);
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "util.h"
+
+#ifdef DEBUG
+int debug_depth = 0;
+#endif
+
+FPLLL_BEGIN_NAMESPACE
+
+enum MinPrecAlgo
+{
+ MINPREC_GSO,
+ MINPREC_L2
+};
+
+/* State of LDConvHelper (declared in nr.h, must be defined in exactly one
+ source file) */
+#ifdef FPLLL_WITH_LONG_DOUBLE
+mpfr_t LDConvHelper::temp;
+bool LDConvHelper::temp_initialized = false;
+#endif
+
+/* State of the random generator (declared in nr.h, must be defined in exactly
+ one source file) */
+bool RandGen::initialized = false;
+gmp_randstate_t RandGen::gmp_state;
+
+static int compute_min_prec(double &rho, int d, double delta, double eta, double epsilon,
+ MinPrecAlgo algo)
+{
+ int old_prec = Float::set_prec(53);
+ Float f_minprec, f_rho, f_d, f_eta, f_delta, f_epsilon, tmp1, tmp2;
+
+ // These four conversions are exact
+ f_d = static_cast<double>(d);
+ f_eta = eta;
+ f_delta = delta;
+ f_epsilon = epsilon;
+ if (algo == MINPREC_L2)
+ {
+ // eta - 0.5 is an exact fp operation
+ if (f_epsilon > eta - 0.5)
+ f_epsilon = eta - 0.5;
+ tmp1 = 1.0;
+ tmp1.sub(tmp1, f_delta, GMP_RNDD);
+ if (f_epsilon > tmp1)
+ f_epsilon = tmp1;
+ // now fEpsilon <= min(epsilon, eta - 0.5, 1 - delta);
+ }
+ // Computes tmp1 >= (1 + eta) ^ 2 + epsilon
+ tmp1 = 1.0; // exact
+ tmp1.add(f_eta, tmp1, GMP_RNDU); // >= 1 + eta
+ tmp1.mul(tmp1, tmp1, GMP_RNDU); // >= (1 + eta) ^ 2
+ tmp1.add(tmp1, f_epsilon, GMP_RNDU);
+ // Computes tmp2 <= delta - eta ^ 2
+ tmp2.mul(f_eta, f_eta, GMP_RNDU);
+ tmp2.sub(f_delta, tmp2, GMP_RNDD);
+ FPLLL_CHECK(tmp2 > 0, "invalid LLL parameters, eta must be < sqrt(delta)");
+ // Computes rho >= ((1 + eta) ^ 2 + epsilon) / (delta - eta ^ 2)
+ f_rho.div(tmp1, tmp2, GMP_RNDU);
+ rho = f_rho.get_d(GMP_RNDU);
+
+ /* Computes minprec >= constant + 2 * log2(d) - log2(epsilon) + d * log2(rho)
+ (constant = 5 for GSO, 10 for LLL) */
+ tmp1.log(f_d, GMP_RNDU); // >= log(d)
+ tmp1.mul_2si(tmp1, 1); // >= 2 * log(d)
+ tmp2.log(f_epsilon, GMP_RNDD); // <= log(epsilon) (<= 0)
+ tmp1.sub(tmp1, tmp2, GMP_RNDU); // >= 2 * log(d) - log(epsilon)
+ tmp2.log(f_rho, GMP_RNDU); // >= log(rho)
+ tmp2.mul(f_d, tmp2, GMP_RNDU); // >= d * log(rho)
+ tmp1.add(tmp1, tmp2, GMP_RNDU); // >= 2*log(d)-log(epsilon)+d*log(rho)
+ tmp2 = 2.0; // exact
+ tmp2.log(tmp2, GMP_RNDD); // <= log(2)
+ tmp1.div(tmp1, tmp2, GMP_RNDU); // >= 2*log2(d)-log2(epsilon)+d*log2(rho)
+ tmp2 = (algo == MINPREC_L2) ? 10.0 : 5.0;
+ f_minprec.add(tmp1, tmp2, GMP_RNDU);
+ int minprec = static_cast<int>(ceil(f_minprec.get_d(GMP_RNDU)));
+ mpfr_free_cache();
+ Float::set_prec(old_prec);
+ return minprec;
+}
+
+int gso_min_prec(double &rho, int d, double delta, double eta, double epsilon)
+{
+ return compute_min_prec(rho, d, delta, eta, epsilon, MINPREC_GSO);
+}
+
+int l2_min_prec(int d, double delta, double eta, double epsilon)
+{
+ double rho;
+ return compute_min_prec(rho, d, delta, eta, epsilon, MINPREC_L2);
+}
+
+/**
+ * Computes the volume of a d-dimensional hypersphere of radius 1.
+ */
+void sphere_volume(Float &volume, int d)
+{
+ Float rtmp1;
+ volume = pow(M_PI, (double)(d / 2));
+
+ if (d % 2 == 0)
+ for (int i = 1; i <= d / 2; i++)
+ {
+ rtmp1 = (double)i;
+ volume.div(volume, rtmp1);
+ }
+ else
+ for (int i = 0; i <= d / 2; i++)
+ {
+ rtmp1 = 2.0 / (double)(2 * i + 1);
+ volume.mul(volume, rtmp1);
+ }
+}
+
+/**
+ * Estimates the cost of the enumeration for SVP.
+ */
+void cost_estimate(Float &cost, const Float &bound, const Matrix<Float> &r, int dimMax)
+{
+ Float det, level_cost, tmp1;
+ det = 1.0;
+ cost = 0.0;
+
+ for (int i = dimMax - 1; i >= 0; i--)
+ {
+ tmp1.div(bound, r(i, i));
+ det.mul(det, tmp1);
+
+ level_cost.sqrt(det);
+ sphere_volume(tmp1, dimMax - i);
+ level_cost.mul(level_cost, tmp1);
+
+ cost.add(cost, level_cost);
+ }
+}
+
+const char *get_red_status_str(int status)
+{
+ if (status >= 0 && status < RED_STATUS_MAX)
+ return RED_STATUS_STR[status];
+ else
+ return "unknown error";
+}
+
+template <class ZT> void zeros_first(ZZ_mat<ZT> &b, ZZ_mat<ZT> &u, ZZ_mat<ZT> &u_inv_t)
+{
+ int i, d = b.get_rows();
+ for (i = d; i > 0 && b[i - 1].is_zero(); i--)
+ {
+ }
+ if (i > 0 && i < d)
+ {
+ b.rotate(0, i, d - 1);
+ if (!u.empty())
+ u.rotate(0, i, d - 1);
+ if (!u_inv_t.empty())
+ u_inv_t.rotate(0, i, d - 1);
+ }
+}
+
+template <class ZT> void zeros_last(ZZ_mat<ZT> &b, ZZ_mat<ZT> &u, ZZ_mat<ZT> &u_inv_t)
+{
+ int i, d = b.get_rows();
+ for (i = 0; i < d && b[i].is_zero(); i++)
+ {
+ }
+ if (i > 0 && i < d)
+ {
+ b.rotate(0, i, d - 1);
+ if (!u.empty())
+ u.rotate(0, i, d - 1);
+ if (!u_inv_t.empty())
+ u_inv_t.rotate(0, i, d - 1);
+ }
+}
+
+template void zeros_first<mpz_t>(ZZ_mat<mpz_t> &, ZZ_mat<mpz_t> &, ZZ_mat<mpz_t> &);
+template void zeros_last<mpz_t>(ZZ_mat<mpz_t> &, ZZ_mat<mpz_t> &, ZZ_mat<mpz_t> &);
+
+#ifdef FPLLL_WITH_ZLONG
+template void zeros_first<long>(ZZ_mat<long> &, ZZ_mat<long> &, ZZ_mat<long> &);
+template void zeros_last<long>(ZZ_mat<long> &, ZZ_mat<long> &, ZZ_mat<long> &);
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+template void zeros_first<double>(ZZ_mat<double> &, ZZ_mat<double> &, ZZ_mat<double> &);
+template void zeros_last<double>(ZZ_mat<double> &, ZZ_mat<double> &, ZZ_mat<double> &);
+#endif
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+/** \file util.h
+ Miscellaneous. */
+
+#ifndef FPLLL_UTIL_H
+#define FPLLL_UTIL_H
+
+#include "nr/matrix.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+static inline int cputime()
+{
+#ifdef FPLLL_WITH_GETRUSAGE
+ struct rusage rus;
+ getrusage(RUSAGE_SELF, &rus);
+ return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000;
+#else
+ return time(NULL) * 1000;
+#endif
+}
+
+/* Computes result = x * m (it is not required that result is initialized,
+ x.size() must be equal to m.GetNumRows()) */
+template <class ZT>
+void vector_matrix_product(vector<ZT> &result, const vector<ZT> &x, const Matrix<ZT> &m)
+{
+ int nrows = m.get_rows(), ncols = m.get_cols();
+ gen_zero_vect(result, ncols);
+ for (int i = 0; i < nrows; i++)
+ for (int j = 0; j < ncols; j++)
+ result[j].addmul(x[i], m(i, j));
+}
+
+/* Computes result = x * m (it is not required that result is initialized,
+ x.size() must be equal to m.GetNumRows()) */
+template <class ZT>
+void vector_matrix_product(NumVect<ZT> &result, const NumVect<ZT> &x, const Matrix<ZT> &m)
+{
+ int nrows = m.get_rows(), ncols = m.get_cols();
+ result.gen_zero(ncols);
+ for (int i = 0; i < nrows; i++)
+ for (int j = 0; j < ncols; j++)
+ result[j].addmul(x[i], m(i, j));
+}
+
+template <class T>
+void scalar_product(T &result, const MatrixRow<T> &v1, const MatrixRow<T> &v2, int n)
+{
+ FPLLL_DEBUG_CHECK(n <= static_cast<int>(v1.size()) && n <= static_cast<int>(v2.size()));
+ T tmp;
+ result.mul(v1[0], v2[0]);
+ for (int i = 1; i < n; i++)
+ {
+ tmp.mul(v1[i], v2[i]);
+ result.add(result, tmp);
+ }
+}
+
+template <class T> inline void sqr_norm(T &result, const MatrixRow<T> &v, int n)
+{
+ scalar_product(result, v, v, n);
+}
+
+const double DEF_GSO_PREC_EPSILON = 0.03;
+
+/**
+ * Returns the minimum precision required to ensure that error bounds on the
+ * GSO are valid. Computes rho such that for all 0 <= i < d and 0 <= j <= i:
+ *
+ * |r~_i - r_i| / r_i <= d * rho ^ (i + 1) * 2 ^ (2 - prec)
+ *
+ * |mu~_(i,j) - mu_(i,j)| <= d * rho ^ (i + 1) * 2 ^ (4 - prec)
+ */
+int gso_min_prec(double &rho, int d, double delta, double eta,
+ double epsilon = DEF_GSO_PREC_EPSILON);
+
+/**
+ * Returns the minimum precision for the proved version of LLL.
+ */
+int l2_min_prec(int d, double delta, double eta, double epsilon);
+
+/**
+ * Computes the volume of a d-dimensional hypersphere of radius 1.
+ */
+void sphere_volume(Float &volume, int d);
+
+/**
+ * Estimates the cost of the enumeration for SVP.
+ */
+void cost_estimate(Float &cost, const Float &bound, const Matrix<Float> &r, int dimMax);
+
+template <class ZT> void zeros_first(ZZ_mat<ZT> &b, ZZ_mat<ZT> &u, ZZ_mat<ZT> &u_inv_t);
+
+template <class ZT> void zeros_last(ZZ_mat<ZT> &b, ZZ_mat<ZT> &u, ZZ_mat<ZT> &u_inv_t);
+
+/**
+ * Returns the string corresponding to an error code of LLL/BKZ.
+ */
+const char* get_red_status_str(int status);
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include "wrapper.h"
+#include "lll.h"
+#include "util.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+/* prec=53, eta=0.501, dim < dim_double_max [ (delta / 100.0) + 25 ] */
+const double dim_double_max[75] = {
+ 0, 26, 29.6, 28.1, 31.1, 32.6, 34.6, 34, 37.7, 38.8, 39.6, 41.8, 40.9,
+ 43.6, 44.2, 47, 46.8, 50.6, 49.1, 51.5, 52.5, 54.8, 54.6, 57.4, 57.6, 59.9,
+ 61.8, 62.3, 64.5, 67.1, 68.8, 68.3, 69.9, 73.1, 74, 76.1, 76.8, 80.9, 81.8,
+ 83, 85.3, 87.9, 89, 90.1, 89, 94.6, 94.8, 98.7, 99, 101.6, 104.9, 106.8,
+ 108.2, 107.4, 110, 112.7, 114.6, 118.1, 119.7, 121.8, 122.9, 126.6, 128.6, 129, 133.6,
+ 126.9, 135.9, 139.5, 135.2, 137.2, 139.3, 142.8, 142.4, 142.5, 145.4};
+
+const double eta_dep[10] = {1., // 0.5
+ 1., // 0.55
+ 1.0521, // 0.6
+ 1.1254, // 0.65
+ 1.2535, // 0.7
+ 1.3957, // 0.75
+ 1.6231, // 0.8
+ 1.8189, // 0.85
+ 2.1025, // 0.9
+ 2.5117}; // 0.95
+
+Wrapper::Wrapper(IntMatrix &b, IntMatrix &u, IntMatrix &u_inv, double delta, double eta, int flags)
+ : status(RED_SUCCESS), b(b), u(u), u_inv(u_inv), delta(delta), eta(eta), use_long(false),
+ last_early_red(0)
+{
+ n = b.get_cols();
+ d = b.get_rows();
+ this->flags = flags;
+ max_exponent = b.get_max_exp() + (int)ceil(0.5 * log2((double)d * n));
+
+ // Computes the parameters required for the proved version
+ good_prec = l2_min_prec(d, delta, eta, LLL_DEF_EPSILON);
+}
+
+bool Wrapper::little(int kappa, int precision)
+{
+ /*one may add here dimension arguments with respect to eta and delta */
+ int dm = (int)(delta * 100. - 25.);
+ if (dm < 0)
+ dm = 0;
+ if (dm > 74)
+ dm = 74;
+
+ int em = (int)((eta - 0.5) * 20);
+ if (em < 0)
+ em = 0;
+ if (em > 9)
+ em = 9;
+
+ double p = max(1.0, precision / 53.0);
+
+ p *= eta_dep[em]; /* eta dependance */
+ p *= dim_double_max[dm];
+ // cerr << kappa << " compared to " << p << endl;
+ return kappa < p;
+}
+
+/**
+ * main function. Method determines whether heuristic, fast or proved
+ */
+template <class Z, class F>
+int Wrapper::call_lll(ZZ_mat<Z> &bz, ZZ_mat<Z> &uz, ZZ_mat<Z> &u_invZ, LLLMethod method,
+ int precision, double delta, double eta)
+{
+ typedef Z_NR<Z> ZT;
+ typedef FP_NR<F> FT;
+
+ if (flags & LLL_VERBOSE)
+ {
+ cerr << "====== Wrapper: calling " << LLL_METHOD_STR[method] << "<" << num_type_str<Z>() << ","
+ << num_type_str<F>() << "> method";
+ if (precision > 0)
+ {
+ cerr << " (precision=" << precision << ")";
+ }
+ cerr << " ======" << endl;
+ }
+
+ int gso_flags = 0;
+ if (method == LM_PROVED)
+ gso_flags |= GSO_INT_GRAM;
+ if (method == LM_FAST)
+ gso_flags |= GSO_ROW_EXPO;
+ if (method != LM_PROVED && precision == 0)
+ gso_flags |= GSO_OP_FORCE_LONG;
+
+ int old_prec = Float::get_prec();
+ if (precision > 0)
+ {
+ Float::set_prec(precision);
+ }
+ MatGSO<ZT, FT> m_gso(bz, uz, u_invZ, gso_flags);
+ LLLReduction<ZT, FT> lll_obj(m_gso, delta, eta, flags);
+ lll_obj.last_early_red = last_early_red;
+ lll_obj.lll();
+ status = lll_obj.status;
+ last_early_red = max(last_early_red, lll_obj.last_early_red);
+ if (precision > 0)
+ {
+ Float::set_prec(old_prec);
+ }
+
+ if (flags & LLL_VERBOSE)
+ {
+ cerr << "====== Wrapper: end of " << LLL_METHOD_STR[method] << " method ======\n" << endl;
+ }
+
+ if (lll_obj.status == RED_SUCCESS)
+ return 0;
+ else if (lll_obj.status == RED_GSO_FAILURE || lll_obj.status == RED_BABAI_FAILURE)
+ return lll_obj.final_kappa;
+ else
+ return -1;
+}
+
+/**
+ * pass the method to call_lll()
+ */
+template <class F> int Wrapper::fast_lll(double delta, double eta)
+{
+ return call_lll<mpz_t, F>(b, u, u_inv, LM_FAST, 0, delta, eta);
+}
+
+template <class Z, class F>
+int Wrapper::heuristic_lll(ZZ_mat<Z> &bz, ZZ_mat<Z> &uz, ZZ_mat<Z> &u_invZ, int precision,
+ double delta, double eta)
+{
+ return call_lll<Z, F>(bz, uz, u_invZ, LM_HEURISTIC, precision, delta, eta);
+}
+
+template <class Z, class F>
+int Wrapper::proved_lll(ZZ_mat<Z> &bz, ZZ_mat<Z> &uz, ZZ_mat<Z> &u_invZ, int precision, double delta,
+ double eta)
+{
+ return call_lll<Z, F>(bz, uz, u_invZ, LM_PROVED, precision, delta, eta);
+}
+
+/**
+ * In heuristic_loop(), we only use double or dpe_t or mpfr_t.
+ */
+int Wrapper::heuristic_loop(int precision)
+{
+ int kappa;
+
+ if (precision > numeric_limits<double>::digits)
+ kappa = heuristic_lll<mpz_t, mpfr_t>(b, u, u_inv, precision, delta, eta);
+ else
+ {
+#ifdef FPLLL_WITH_DPE
+ kappa = heuristic_lll<mpz_t, dpe_t>(b, u, u_inv, 0, delta, eta);
+#else
+ kappa = heuristic_lll<mpz_t, mpfr_t>(b, u, u_inv, precision, delta, eta);
+#endif
+ }
+
+ if (kappa == 0)
+ return 0; // Success
+ else if (precision < good_prec && !little(kappa, precision))
+ return heuristic_loop(increase_prec(precision));
+ else
+ return proved_loop(precision);
+}
+
+int Wrapper::proved_loop(int precision)
+{
+ int kappa;
+#ifdef FPLLL_WITH_QD
+ if (precision > PREC_DD)
+#else
+ if (precision > numeric_limits<double>::digits)
+#endif
+ kappa = proved_lll<mpz_t, mpfr_t>(b, u, u_inv, precision, delta, eta);
+ else if (max_exponent * 2 > MAX_EXP_DOUBLE)
+ {
+#ifdef FPLLL_WITH_DPE
+ kappa = proved_lll<mpz_t, dpe_t>(b, u, u_inv, 0, delta, eta);
+#else
+ kappa = proved_lll<mpz_t, mpfr_t>(b, u, u_inv, precision, delta, eta);
+#endif
+ }
+#ifdef FPLLL_WITH_QD
+ else if (precision > numeric_limits<double>::digits)
+ kappa = proved_lll<mpz_t, dd_real>(b, u, u_inv, precision, delta, eta);
+#endif
+ else
+ kappa = proved_lll<mpz_t, double>(b, u, u_inv, 0, delta, eta);
+
+ if (kappa == 0)
+ return 0; // Success
+ else if (precision < good_prec)
+ return proved_loop(increase_prec(precision));
+ else
+ return -1; // This point should never be reached
+}
+
+/**
+ * last call to LLL. Need to be proved_lll.
+ */
+int Wrapper::last_lll()
+{
+
+/* <long, FT> */
+#ifdef FPLLL_WITH_ZLONG
+ if (use_long)
+ {
+ int kappa;
+ if (good_prec <= numeric_limits<double>::digits)
+ kappa = proved_lll<long, double>(b_long, u_long, u_inv_long, good_prec, delta, eta);
+#ifdef FPLLL_WITH_QD
+ else if (good_prec <= PREC_DD)
+ kappa = proved_lll<long, dd_real>(b_long, u_long, u_inv_long, good_prec, delta, eta);
+#endif
+ else
+ kappa = proved_lll<long, mpfr_t>(b_long, u_long, u_inv_long, good_prec, delta, eta);
+ return kappa;
+ }
+#endif
+
+/* <mpfr, FT> */
+#ifdef FPLLL_WITH_DPE
+ if (good_prec <= numeric_limits<double>::digits)
+ return proved_lll<mpz_t, dpe_t>(b, u, u_inv, good_prec, delta, eta);
+#ifdef FPLLL_WITH_QD
+ else if (good_prec <= PREC_DD)
+ return proved_lll<mpz_t, dd_real>(b, u, u_inv, good_prec, delta, eta);
+#endif
+#endif
+ return proved_lll<mpz_t, mpfr_t>(b, u, u_inv, good_prec, delta, eta);
+}
+
+/**
+ * Wrapper.lll() calls
+ * - heuristic_lll()
+ * - fast_lll()
+ * - proved_lll()
+ */
+bool Wrapper::lll()
+{
+ if (b.get_rows() == 0 || b.get_cols() == 0)
+ return RED_SUCCESS;
+
+#ifdef FPLLL_WITH_ZLONG
+ bool heuristic_with_long =
+ max_exponent < numeric_limits<long>::digits - 2 && u.empty() && u_inv.empty();
+ bool proved_with_long =
+ 2 * max_exponent < numeric_limits<long>::digits - 2 && u.empty() && u_inv.empty();
+#else
+ bool heuristic_with_long = false, proved_with_long = false;
+#endif
+
+ int kappa;
+
+ /* small matrix */
+ if (heuristic_with_long)
+ {
+#ifdef FPLLL_WITH_ZLONG
+ set_use_long(true);
+ /* try heuristic_lll <long, double> */
+ heuristic_lll<long, double>(b_long, u_long, u_inv_long, 0, delta, eta);
+#endif
+ }
+ /* large matrix */
+ else
+ {
+
+ /* try fast_lll<mpz_t, double> */
+ kappa = fast_lll<double>(delta, eta);
+ bool lll_failure = (kappa != 0);
+ int last_prec;
+
+/* try fast_lll<mpz_t, long double> */
+#ifdef FPLLL_WITH_LONG_DOUBLE
+ if (lll_failure)
+ {
+ kappa = fast_lll<long double>(delta, eta);
+ lll_failure = kappa != 0;
+ }
+ last_prec = numeric_limits<long double>::digits;
+#else
+ last_prec = numeric_limits<double>::digits;
+#endif
+
+/* try fast_lll<mpz_t, dd_real> */
+#ifdef FPLLL_WITH_QD
+ if (lll_failure)
+ {
+ kappa = fast_lll<dd_real>(delta, eta);
+ lll_failure = kappa != 0;
+ }
+ last_prec = PREC_DD;
+#else
+#ifdef FPLLL_WITH_LONG_DOUBLE
+ last_prec = numeric_limits<long double>::digits;
+#else
+ last_prec = numeric_limits<double>::digits;
+#endif
+#endif
+
+ /* loop */
+ if (lll_failure)
+ {
+ int prec_d = numeric_limits<double>::digits;
+ if (little(kappa, last_prec))
+ kappa = proved_loop(prec_d);
+ else
+ kappa = heuristic_loop(increase_prec(prec_d));
+ }
+ }
+
+ set_use_long(proved_with_long);
+ /* final LLL */
+ kappa = last_lll();
+ set_use_long(false);
+ return kappa == 0;
+}
+
+/**
+ * set blong <-- b
+ */
+void Wrapper::set_use_long(bool value)
+{
+#ifdef FPLLL_WITH_ZLONG
+ if (!use_long && value)
+ {
+ if (b_long.empty())
+ {
+ b_long.resize(d, n);
+ }
+ for (int i = 0; i < d; i++)
+ for (int j = 0; j < n; j++)
+ b_long(i, j) = b(i, j).get_si();
+ }
+ else if (use_long && !value)
+ {
+ for (int i = 0; i < d; i++)
+ for (int j = 0; j < n; j++)
+ b(i, j) = b_long(i, j).get_si();
+ }
+ use_long = value;
+#endif
+}
+
+int Wrapper::increase_prec(int precision) { return min(precision * 2, good_prec); }
+
+/**
+ * LLL with a typical method "proved or heuristic or fast".
+ * @proved: exact gram + exact rowexp + exact rowaddmul
+ * @heuristic: approx. gram + exact rowexp + exact rowaddmul
+ * @fast: approx. gram + approx. rowexp + approx. rowaddmul
+ * (double, long double, dd_real, qd_real)
+ */
+template <class ZT, class FT>
+int lll_reduction_zf(ZZ_mat<ZT> &b, ZZ_mat<ZT> &u, ZZ_mat<ZT> &u_inv, double delta, double eta,
+ LLLMethod method, int flags)
+{
+ int gso_flags = 0;
+ if (b.get_rows() == 0 || b.get_cols() == 0)
+ return RED_SUCCESS;
+ if (method == LM_PROVED)
+ gso_flags |= GSO_INT_GRAM;
+ if (method == LM_FAST)
+ gso_flags |= GSO_ROW_EXPO | GSO_OP_FORCE_LONG;
+ MatGSO<Z_NR<ZT>, FP_NR<FT>> m_gso(b, u, u_inv, gso_flags);
+ LLLReduction<Z_NR<ZT>, FP_NR<FT>> lll_obj(m_gso, delta, eta, flags);
+ lll_obj.lll();
+ return lll_obj.status;
+}
+
+template <class ZT>
+int lll_reduction_wrapper(ZZ_mat<ZT> &b, ZZ_mat<ZT> &u, ZZ_mat<ZT> &u_inv, double delta, double eta,
+ FloatType float_type, int precision, int flags)
+{
+ FPLLL_ABORT("The wrapper method works only with integer type mpz");
+ return RED_LLL_FAILURE;
+}
+
+template <>
+int lll_reduction_wrapper(IntMatrix &b, IntMatrix &u, IntMatrix &u_inv, double delta, double eta,
+ FloatType float_type, int precision, int flags)
+{
+ FPLLL_CHECK(float_type == FT_DEFAULT,
+ "The floating point type cannot be specified with the wrapper method");
+ FPLLL_CHECK(precision == 0, "The precision cannot be specified with the wrapper method");
+ Wrapper wrapper(b, u, u_inv, delta, eta, flags);
+ wrapper.lll();
+ zeros_first(b, u, u_inv);
+ return wrapper.status;
+}
+
+/**
+ * Main function called from call_lll().
+ */
+template <class ZT>
+int lll_reduction_z(ZZ_mat<ZT> &b, ZZ_mat<ZT> &u, ZZ_mat<ZT> &u_inv, double delta, double eta,
+ LLLMethod method, IntType int_type, FloatType float_type, int precision, int flags)
+{
+
+ /* switch to wrapper */
+ if (method == LM_WRAPPER)
+ return lll_reduction_wrapper(b, u, u_inv, delta, eta, float_type, precision, flags);
+
+ FPLLL_CHECK(!(method == LM_PROVED && (flags & LLL_EARLY_RED)),
+ "LLL method 'proved' with early reduction is not implemented");
+
+ /* computes the parameters required for the proved version */
+ int good_prec = l2_min_prec(b.get_rows(), delta, eta, LLL_DEF_EPSILON);
+
+ /* sets the parameters and checks the consistency */
+ int sel_prec = 0;
+ if (method == LM_PROVED)
+ {
+ sel_prec = (precision != 0) ? precision : good_prec;
+ }
+ else
+ {
+ sel_prec = (precision != 0) ? precision : PREC_DOUBLE;
+ }
+
+ FloatType sel_ft = float_type;
+
+ /* if manually input precision */
+ if (precision != 0)
+ {
+ if (sel_ft == FT_DEFAULT)
+ {
+ sel_ft = FT_MPFR;
+ }
+ FPLLL_CHECK(sel_ft == FT_MPFR, "The floating type must be mpfr when the precision is specified");
+ }
+
+ if (sel_ft == FT_DEFAULT)
+ {
+ if (method == LM_FAST)
+ sel_ft = FT_DOUBLE;
+#ifdef FPLLL_WITH_DPE
+ else if (sel_prec <= static_cast<int>(FP_NR<dpe_t>::get_prec()))
+ sel_ft = FT_DPE;
+#endif
+#ifdef FPLLL_WITH_QD
+ else if (sel_prec <= static_cast<int>(FP_NR<dd_real>::get_prec()))
+ sel_ft = FT_DD;
+ else if (sel_prec <= static_cast<int>(FP_NR<qd_real>::get_prec()))
+ sel_ft = FT_QD;
+#endif
+ else
+ sel_ft = FT_MPFR;
+ }
+ else if (method == LM_FAST &&
+ (sel_ft != FT_DOUBLE && sel_ft != FT_LONG_DOUBLE && sel_ft != FT_DD && sel_ft != FT_QD))
+ {
+ FPLLL_ABORT("'double' or 'long double' or 'dd' or 'qd' required for "
+ << LLL_METHOD_STR[method]);
+ }
+
+ if (sel_ft == FT_DOUBLE)
+ sel_prec = FP_NR<double>::get_prec();
+#ifdef FPLLL_WITH_LONG_DOUBLE
+ else if (sel_ft == FT_LONG_DOUBLE)
+ sel_prec = FP_NR<long double>::get_prec();
+#endif
+#ifdef FPLLL_WITH_DPE
+ else if (sel_ft == FT_DPE)
+ sel_prec = FP_NR<dpe_t>::get_prec();
+#endif
+#ifdef FPLLL_WITH_QD
+ else if (sel_ft == FT_DD)
+ sel_prec = FP_NR<dd_real>::get_prec();
+ else if (sel_ft == FT_QD)
+ sel_prec = FP_NR<qd_real>::get_prec();
+#endif
+
+ if (flags & LLL_VERBOSE)
+ {
+ cerr << "Starting LLL method '" << LLL_METHOD_STR[method] << "'" << endl
+ << " integer type '" << INT_TYPE_STR[int_type] << "'" << endl
+ << " floating point type '" << FLOAT_TYPE_STR[sel_ft] << "'" << endl;
+ if (method != LM_PROVED || int_type != ZT_MPZ || sel_ft == FT_DOUBLE)
+ {
+ cerr << " The reduction is not guaranteed";
+ }
+ else if (sel_prec < good_prec)
+ {
+ cerr << " prec < " << good_prec << ", the reduction is not guaranteed";
+ }
+ else
+ {
+ cerr << " prec >= " << good_prec << ", the reduction is guaranteed";
+ }
+ cerr << endl;
+ }
+
+ // Applies the selected method
+ int status;
+ if (sel_ft == FT_DOUBLE)
+ {
+ status = lll_reduction_zf<ZT, double>(b, u, u_inv, delta, eta, method, flags);
+ }
+#ifdef FPLLL_WITH_LONG_DOUBLE
+ else if (sel_ft == FT_LONG_DOUBLE)
+ {
+ status = lll_reduction_zf<ZT, long double>(b, u, u_inv, delta, eta, method, flags);
+ }
+#endif
+#ifdef FPLLL_WITH_DPE
+ else if (sel_ft == FT_DPE)
+ {
+ status = lll_reduction_zf<ZT, dpe_t>(b, u, u_inv, delta, eta, method, flags);
+ }
+#endif
+#ifdef FPLLL_WITH_QD
+ else if (sel_ft == FT_DD)
+ {
+ unsigned int old_cw;
+ fpu_fix_start(&old_cw);
+ status = lll_reduction_zf<ZT, dd_real>(b, u, u_inv, delta, eta, method, flags);
+ fpu_fix_end(&old_cw);
+ }
+ else if (sel_ft == FT_QD)
+ {
+ unsigned int old_cw;
+ fpu_fix_start(&old_cw);
+ status = lll_reduction_zf<ZT, qd_real>(b, u, u_inv, delta, eta, method, flags);
+ fpu_fix_end(&old_cw);
+ }
+#endif
+ else if (sel_ft == FT_MPFR)
+ {
+ int old_prec = FP_NR<mpfr_t>::set_prec(sel_prec);
+ status = lll_reduction_zf<ZT, mpfr_t>(b, u, u_inv, delta, eta, method, flags);
+ FP_NR<mpfr_t>::set_prec(old_prec);
+ }
+ else
+ {
+ FPLLL_ABORT("Compiled without support for LLL reduction with " << FLOAT_TYPE_STR[sel_ft]);
+ }
+ zeros_first(b, u, u_inv);
+ return status;
+}
+
+/**
+ * We define LLL for each input type instead of using a template,
+ * in order to force the compiler to instantiate the functions.
+ */
+#define FPLLL_DEFINE_LLL(T, id_t) \
+ int lll_reduction(ZZ_mat<T> &b, double delta, double eta, LLLMethod method, FloatType float_type, \
+ int precision, int flags) \
+ { \
+ ZZ_mat<T> empty_mat; /* Empty u -> transform disabled */ \
+ return lll_reduction_z<T>(b, empty_mat, empty_mat, delta, eta, method, id_t, float_type, precision, \
+ flags); \
+ } \
+ \
+ int lll_reduction(ZZ_mat<T> &b, ZZ_mat<T> &u, double delta, double eta, LLLMethod method, \
+ FloatType float_type, int precision, int flags) \
+ { \
+ ZZ_mat<T> empty_mat; \
+ if (!u.empty()) \
+ u.gen_identity(b.get_rows()); \
+ return lll_reduction_z<T>(b, u, empty_mat, delta, eta, method, id_t, float_type, precision, flags); \
+ } \
+ \
+ int lll_reduction(ZZ_mat<T> &b, ZZ_mat<T> &u, ZZ_mat<T> &u_inv, double delta, double eta, \
+ LLLMethod method, FloatType float_type, int precision, int flags) \
+ { \
+ if (!u.empty()) \
+ u.gen_identity(b.get_rows()); \
+ if (!u_inv.empty()) \
+ u_inv.gen_identity(b.get_rows()); \
+ u_inv.transpose(); \
+ int status = \
+ lll_reduction_z<T>(b, u, u_inv, delta, eta, method, id_t, float_type, precision, flags); \
+ u_inv.transpose(); \
+ return status; \
+ }
+
+FPLLL_DEFINE_LLL(mpz_t, ZT_MPZ)
+
+#ifdef FPLLL_WITH_ZLONG
+FPLLL_DEFINE_LLL(long, ZT_LONG)
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+FPLLL_DEFINE_LLL(double, ZT_DOUBLE)
+#endif
+
+FPLLL_END_NAMESPACE
--- /dev/null
+/* Copyright (C) 2005-2008 Damien Stehle.
+ Copyright (C) 2007 David Cade.
+ Copyright (C) 2011 Xavier Pujol.
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#ifndef FPLLL_WRAPPER_H
+#define FPLLL_WRAPPER_H
+
+#include "nr/matrix.h"
+
+FPLLL_BEGIN_NAMESPACE
+
+/* The matrix b must not be modified before calling lll().
+ lll() must be called only once. */
+
+class Wrapper
+{
+public:
+ /* u must be either empty or the identity matrix */
+ Wrapper(IntMatrix &b, IntMatrix &u, IntMatrix &u_inv, double delta, double eta, int flags);
+
+ bool lll();
+
+ int status;
+
+private:
+ IntMatrix &b;
+ IntMatrix &u;
+ IntMatrix &u_inv;
+
+#ifdef FPLLL_WITH_ZLONG
+ ZZ_mat<long> b_long;
+ ZZ_mat<long> u_long; // Always empty
+ ZZ_mat<long> u_inv_long; // Always empty
+#endif
+
+ double delta;
+ double eta;
+ int good_prec;
+ bool use_long;
+ int flags;
+
+ bool little(int kappa, int precision);
+
+ template <class Z, class F>
+ int call_lll(ZZ_mat<Z> &bz, ZZ_mat<Z> &uz, ZZ_mat<Z> &u_inv_z, LLLMethod method, int precision,
+ double delta, double eta);
+
+ template <class F> int fast_lll(double delta, double eta);
+
+ template <class Z, class F>
+ int heuristic_lll(ZZ_mat<Z> &bz, ZZ_mat<Z> &uz, ZZ_mat<Z> &u_inv_z, int precision, double delta,
+ double eta);
+
+ template <class Z, class F>
+ int proved_lll(ZZ_mat<Z> &bz, ZZ_mat<Z> &uz, ZZ_mat<Z> &u_inv_z, int precision, double delta,
+ double eta);
+
+ int heuristic_loop(int precision);
+ int proved_loop(int precision);
+ int last_lll();
+
+ void set_use_long(bool value);
+ int increase_prec(int precision);
+
+ int max_exponent;
+ int n;
+ int d;
+ int last_early_red;
+};
+
+#define FPLLL_DECLARE_LLL(T) \
+int lll_reduction(ZZ_mat<T>& b, \
+ double delta = LLL_DEF_DELTA, double eta = LLL_DEF_ETA, \
+ LLLMethod method = LM_WRAPPER, FloatType floatType = FT_DEFAULT, \
+ int precision = 0, int flags = LLL_DEFAULT); \
+ \
+int lll_reduction(ZZ_mat<T>& b, ZZ_mat<T>& u, \
+ double delta = LLL_DEF_DELTA, double eta = LLL_DEF_ETA, \
+ LLLMethod method = LM_WRAPPER, FloatType floatType = FT_DEFAULT, \
+ int precision = 0, int flags = LLL_DEFAULT); \
+ \
+int lll_reduction(ZZ_mat<T>& b, ZZ_mat<T>& u, ZZ_mat<T>& u_inv, \
+ double delta = LLL_DEF_DELTA, double eta = LLL_DEF_ETA, \
+ LLLMethod method = LM_WRAPPER, FloatType floatType = FT_DEFAULT, \
+ int precision = 0, int flags = LLL_DEFAULT);
+
+FPLLL_DECLARE_LLL(mpz_t)
+
+#ifdef FPLLL_WITH_ZLONG
+FPLLL_DECLARE_LLL(long)
+#endif
+
+#ifdef FPLLL_WITH_ZDOUBLE
+FPLLL_DECLARE_LLL(double)
+#endif
+
+FPLLL_END_NAMESPACE
+
+#endif
--- /dev/null
+# ===========================================================================
+# http://www.gnu.org/software/autoconf-archive/ax_cxx_compile_stdcxx.html
+# ===========================================================================
+#
+# SYNOPSIS
+#
+# AX_CXX_COMPILE_STDCXX(VERSION, [ext|noext], [mandatory|optional])
+#
+# DESCRIPTION
+#
+# Check for baseline language coverage in the compiler for the specified
+# version of the C++ standard. If necessary, add switches to CXX and
+# CXXCPP to enable support. VERSION may be '11' (for the C++11 standard)
+# or '14' (for the C++14 standard).
+#
+# The second argument, if specified, indicates whether you insist on an
+# extended mode (e.g. -std=gnu++11) or a strict conformance mode (e.g.
+# -std=c++11). If neither is specified, you get whatever works, with
+# preference for an extended mode.
+#
+# The third argument, if specified 'mandatory' or if left unspecified,
+# indicates that baseline support for the specified C++ standard is
+# required and that the macro should error out if no mode with that
+# support is found. If specified 'optional', then configuration proceeds
+# regardless, after defining HAVE_CXX${VERSION} if and only if a
+# supporting mode is found.
+#
+# LICENSE
+#
+# Copyright (c) 2008 Benjamin Kosnik <bkoz@redhat.com>
+# Copyright (c) 2012 Zack Weinberg <zackw@panix.com>
+# Copyright (c) 2013 Roy Stogner <roystgnr@ices.utexas.edu>
+# Copyright (c) 2014, 2015 Google Inc.; contributed by Alexey Sokolov <sokolov@google.com>
+# Copyright (c) 2015 Paul Norman <penorman@mac.com>
+# Copyright (c) 2015 Moritz Klammler <moritz@klammler.eu>
+#
+# Copying and distribution of this file, with or without modification, are
+# permitted in any medium without royalty provided the copyright notice
+# and this notice are preserved. This file is offered as-is, without any
+# warranty.
+
+#serial 4
+
+dnl This macro is based on the code from the AX_CXX_COMPILE_STDCXX_11 macro
+dnl (serial version number 13).
+
+AC_DEFUN([AX_CXX_COMPILE_STDCXX], [dnl
+ m4_if([$1], [11], [],
+ [$1], [14], [],
+ [$1], [17], [m4_fatal([support for C++17 not yet implemented in AX_CXX_COMPILE_STDCXX])],
+ [m4_fatal([invalid first argument `$1' to AX_CXX_COMPILE_STDCXX])])dnl
+ m4_if([$2], [], [],
+ [$2], [ext], [],
+ [$2], [noext], [],
+ [m4_fatal([invalid second argument `$2' to AX_CXX_COMPILE_STDCXX])])dnl
+ m4_if([$3], [], [ax_cxx_compile_cxx$1_required=true],
+ [$3], [mandatory], [ax_cxx_compile_cxx$1_required=true],
+ [$3], [optional], [ax_cxx_compile_cxx$1_required=false],
+ [m4_fatal([invalid third argument `$3' to AX_CXX_COMPILE_STDCXX])])
+ AC_LANG_PUSH([C++])dnl
+ ac_success=no
+ AC_CACHE_CHECK(whether $CXX supports C++$1 features by default,
+ ax_cv_cxx_compile_cxx$1,
+ [AC_COMPILE_IFELSE([AC_LANG_SOURCE([_AX_CXX_COMPILE_STDCXX_testbody_$1])],
+ [ax_cv_cxx_compile_cxx$1=yes],
+ [ax_cv_cxx_compile_cxx$1=no])])
+ if test x$ax_cv_cxx_compile_cxx$1 = xyes; then
+ ac_success=yes
+ fi
+
+ m4_if([$2], [noext], [], [dnl
+ if test x$ac_success = xno; then
+ for switch in -std=gnu++$1 -std=gnu++0x; do
+ cachevar=AS_TR_SH([ax_cv_cxx_compile_cxx$1_$switch])
+ AC_CACHE_CHECK(whether $CXX supports C++$1 features with $switch,
+ $cachevar,
+ [ac_save_CXX="$CXX"
+ CXX="$CXX $switch"
+ AC_COMPILE_IFELSE([AC_LANG_SOURCE([_AX_CXX_COMPILE_STDCXX_testbody_$1])],
+ [eval $cachevar=yes],
+ [eval $cachevar=no])
+ CXX="$ac_save_CXX"])
+ if eval test x\$$cachevar = xyes; then
+ CXX="$CXX $switch"
+ if test -n "$CXXCPP" ; then
+ CXXCPP="$CXXCPP $switch"
+ fi
+ ac_success=yes
+ break
+ fi
+ done
+ fi])
+
+ m4_if([$2], [ext], [], [dnl
+ if test x$ac_success = xno; then
+ dnl HP's aCC needs +std=c++11 according to:
+ dnl http://h21007.www2.hp.com/portal/download/files/unprot/aCxx/PDF_Release_Notes/769149-001.pdf
+ dnl Cray's crayCC needs "-h std=c++11"
+ for switch in -std=c++$1 -std=c++0x +std=c++$1 "-h std=c++$1"; do
+ cachevar=AS_TR_SH([ax_cv_cxx_compile_cxx$1_$switch])
+ AC_CACHE_CHECK(whether $CXX supports C++$1 features with $switch,
+ $cachevar,
+ [ac_save_CXX="$CXX"
+ CXX="$CXX $switch"
+ AC_COMPILE_IFELSE([AC_LANG_SOURCE([_AX_CXX_COMPILE_STDCXX_testbody_$1])],
+ [eval $cachevar=yes],
+ [eval $cachevar=no])
+ CXX="$ac_save_CXX"])
+ if eval test x\$$cachevar = xyes; then
+ CXX="$CXX $switch"
+ if test -n "$CXXCPP" ; then
+ CXXCPP="$CXXCPP $switch"
+ fi
+ ac_success=yes
+ break
+ fi
+ done
+ fi])
+ AC_LANG_POP([C++])
+ if test x$ax_cxx_compile_cxx$1_required = xtrue; then
+ if test x$ac_success = xno; then
+ AC_MSG_ERROR([*** A compiler with support for C++$1 language features is required.])
+ fi
+ fi
+ if test x$ac_success = xno; then
+ HAVE_CXX$1=0
+ AC_MSG_NOTICE([No compiler with C++$1 support was found])
+ else
+ HAVE_CXX$1=1
+ AC_DEFINE(HAVE_CXX$1,1,
+ [define if the compiler supports basic C++$1 syntax])
+ fi
+ AC_SUBST(HAVE_CXX$1)
+])
+
+
+dnl Test body for checking C++11 support
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_11],
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_11
+)
+
+
+dnl Test body for checking C++14 support
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_14],
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_11
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_14
+)
+
+
+dnl Tests for new features in C++11
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_new_in_11], [[
+
+// If the compiler admits that it is not ready for C++11, why torture it?
+// Hopefully, this will speed up the test.
+
+#ifndef __cplusplus
+
+#error "This is not a C++ compiler"
+
+#elif __cplusplus < 201103L
+
+#error "This is not a C++11 compiler"
+
+#else
+
+namespace cxx11
+{
+
+ namespace test_static_assert
+ {
+
+ template <typename T>
+ struct check
+ {
+ static_assert(sizeof(int) <= sizeof(T), "not big enough");
+ };
+
+ }
+
+ namespace test_final_override
+ {
+
+ struct Base
+ {
+ virtual void f() {}
+ };
+
+ struct Derived : public Base
+ {
+ virtual void f() override {}
+ };
+
+ }
+
+ namespace test_double_right_angle_brackets
+ {
+
+ template < typename T >
+ struct check {};
+
+ typedef check<void> single_type;
+ typedef check<check<void>> double_type;
+ typedef check<check<check<void>>> triple_type;
+ typedef check<check<check<check<void>>>> quadruple_type;
+
+ }
+
+ namespace test_decltype
+ {
+
+ int
+ f()
+ {
+ int a = 1;
+ decltype(a) b = 2;
+ return a + b;
+ }
+
+ }
+
+ namespace test_type_deduction
+ {
+
+ template < typename T1, typename T2 >
+ struct is_same
+ {
+ static const bool value = false;
+ };
+
+ template < typename T >
+ struct is_same<T, T>
+ {
+ static const bool value = true;
+ };
+
+ template < typename T1, typename T2 >
+ auto
+ add(T1 a1, T2 a2) -> decltype(a1 + a2)
+ {
+ return a1 + a2;
+ }
+
+ int
+ test(const int c, volatile int v)
+ {
+ static_assert(is_same<int, decltype(0)>::value == true, "");
+ static_assert(is_same<int, decltype(c)>::value == false, "");
+ static_assert(is_same<int, decltype(v)>::value == false, "");
+ auto ac = c;
+ auto av = v;
+ auto sumi = ac + av + 'x';
+ auto sumf = ac + av + 1.0;
+ static_assert(is_same<int, decltype(ac)>::value == true, "");
+ static_assert(is_same<int, decltype(av)>::value == true, "");
+ static_assert(is_same<int, decltype(sumi)>::value == true, "");
+ static_assert(is_same<int, decltype(sumf)>::value == false, "");
+ static_assert(is_same<int, decltype(add(c, v))>::value == true, "");
+ return (sumf > 0.0) ? sumi : add(c, v);
+ }
+
+ }
+
+ namespace test_noexcept
+ {
+
+ int f() { return 0; }
+ int g() noexcept { return 0; }
+
+ static_assert(noexcept(f()) == false, "");
+ static_assert(noexcept(g()) == true, "");
+
+ }
+
+ namespace test_constexpr
+ {
+
+ template < typename CharT >
+ unsigned long constexpr
+ strlen_c_r(const CharT *const s, const unsigned long acc) noexcept
+ {
+ return *s ? strlen_c_r(s + 1, acc + 1) : acc;
+ }
+
+ template < typename CharT >
+ unsigned long constexpr
+ strlen_c(const CharT *const s) noexcept
+ {
+ return strlen_c_r(s, 0UL);
+ }
+
+ static_assert(strlen_c("") == 0UL, "");
+ static_assert(strlen_c("1") == 1UL, "");
+ static_assert(strlen_c("example") == 7UL, "");
+ static_assert(strlen_c("another\0example") == 7UL, "");
+
+ }
+
+ namespace test_rvalue_references
+ {
+
+ template < int N >
+ struct answer
+ {
+ static constexpr int value = N;
+ };
+
+ answer<1> f(int&) { return answer<1>(); }
+ answer<2> f(const int&) { return answer<2>(); }
+ answer<3> f(int&&) { return answer<3>(); }
+
+ void
+ test()
+ {
+ int i = 0;
+ const int c = 0;
+ static_assert(decltype(f(i))::value == 1, "");
+ static_assert(decltype(f(c))::value == 2, "");
+ static_assert(decltype(f(0))::value == 3, "");
+ }
+
+ }
+
+ namespace test_uniform_initialization
+ {
+
+ struct test
+ {
+ static const int zero {};
+ static const int one {1};
+ };
+
+ static_assert(test::zero == 0, "");
+ static_assert(test::one == 1, "");
+
+ }
+
+ namespace test_lambdas
+ {
+
+ void
+ test1()
+ {
+ auto lambda1 = [](){};
+ auto lambda2 = lambda1;
+ lambda1();
+ lambda2();
+ }
+
+ int
+ test2()
+ {
+ auto a = [](int i, int j){ return i + j; }(1, 2);
+ auto b = []() -> int { return '0'; }();
+ auto c = [=](){ return a + b; }();
+ auto d = [&](){ return c; }();
+ auto e = [a, &b](int x) mutable {
+ const auto identity = [](int y){ return y; };
+ for (auto i = 0; i < a; ++i)
+ a += b--;
+ return x + identity(a + b);
+ }(0);
+ return a + b + c + d + e;
+ }
+
+ int
+ test3()
+ {
+ const auto nullary = [](){ return 0; };
+ const auto unary = [](int x){ return x; };
+ using nullary_t = decltype(nullary);
+ using unary_t = decltype(unary);
+ const auto higher1st = [](nullary_t f){ return f(); };
+ const auto higher2nd = [unary](nullary_t f1){
+ return [unary, f1](unary_t f2){ return f2(unary(f1())); };
+ };
+ return higher1st(nullary) + higher2nd(nullary)(unary);
+ }
+
+ }
+
+ namespace test_variadic_templates
+ {
+
+ template <int...>
+ struct sum;
+
+ template <int N0, int... N1toN>
+ struct sum<N0, N1toN...>
+ {
+ static constexpr auto value = N0 + sum<N1toN...>::value;
+ };
+
+ template <>
+ struct sum<>
+ {
+ static constexpr auto value = 0;
+ };
+
+ static_assert(sum<>::value == 0, "");
+ static_assert(sum<1>::value == 1, "");
+ static_assert(sum<23>::value == 23, "");
+ static_assert(sum<1, 2>::value == 3, "");
+ static_assert(sum<5, 5, 11>::value == 21, "");
+ static_assert(sum<2, 3, 5, 7, 11, 13>::value == 41, "");
+
+ }
+
+ // http://stackoverflow.com/questions/13728184/template-aliases-and-sfinae
+ // Clang 3.1 fails with headers of libstd++ 4.8.3 when using std::function
+ // because of this.
+ namespace test_template_alias_sfinae
+ {
+
+ struct foo {};
+
+ template<typename T>
+ using member = typename T::member_type;
+
+ template<typename T>
+ void func(...) {}
+
+ template<typename T>
+ void func(member<T>*) {}
+
+ void test();
+
+ void test() { func<foo>(0); }
+
+ }
+
+} // namespace cxx11
+
+#endif // __cplusplus >= 201103L
+
+]])
+
+
+dnl Tests for new features in C++14
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_new_in_14], [[
+
+// If the compiler admits that it is not ready for C++14, why torture it?
+// Hopefully, this will speed up the test.
+
+#ifndef __cplusplus
+
+#error "This is not a C++ compiler"
+
+#elif __cplusplus < 201402L
+
+#error "This is not a C++14 compiler"
+
+#else
+
+namespace cxx14
+{
+
+ namespace test_polymorphic_lambdas
+ {
+
+ int
+ test()
+ {
+ const auto lambda = [](auto&&... args){
+ const auto istiny = [](auto x){
+ return (sizeof(x) == 1UL) ? 1 : 0;
+ };
+ const int aretiny[] = { istiny(args)... };
+ return aretiny[0];
+ };
+ return lambda(1, 1L, 1.0f, '1');
+ }
+
+ }
+
+ namespace test_binary_literals
+ {
+
+ constexpr auto ivii = 0b0000000000101010;
+ static_assert(ivii == 42, "wrong value");
+
+ }
+
+ namespace test_generalized_constexpr
+ {
+
+ template < typename CharT >
+ constexpr unsigned long
+ strlen_c(const CharT *const s) noexcept
+ {
+ auto length = 0UL;
+ for (auto p = s; *p; ++p)
+ ++length;
+ return length;
+ }
+
+ static_assert(strlen_c("") == 0UL, "");
+ static_assert(strlen_c("x") == 1UL, "");
+ static_assert(strlen_c("test") == 4UL, "");
+ static_assert(strlen_c("another\0test") == 7UL, "");
+
+ }
+
+ namespace test_lambda_init_capture
+ {
+
+ int
+ test()
+ {
+ auto x = 0;
+ const auto lambda1 = [a = x](int b){ return a + b; };
+ const auto lambda2 = [a = lambda1(x)](){ return a; };
+ return lambda2();
+ }
+
+ }
+
+ namespace test_digit_seperators
+ {
+
+ constexpr auto ten_million = 100'000'000;
+ static_assert(ten_million == 100000000, "");
+
+ }
+
+ namespace test_return_type_deduction
+ {
+
+ auto f(int& x) { return x; }
+ decltype(auto) g(int& x) { return x; }
+
+ template < typename T1, typename T2 >
+ struct is_same
+ {
+ static constexpr auto value = false;
+ };
+
+ template < typename T >
+ struct is_same<T, T>
+ {
+ static constexpr auto value = true;
+ };
+
+ int
+ test()
+ {
+ auto x = 0;
+ static_assert(is_same<int, decltype(f(x))>::value, "");
+ static_assert(is_same<int&, decltype(g(x))>::value, "");
+ return x;
+ }
+
+ }
+
+} // namespace cxx14
+
+#endif // __cplusplus >= 201402L
+
+]])
--- /dev/null
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\ No newline at end of file
--- /dev/null
+AUTOMAKE_OPTIONS = foreign
+TOPSRCDIR = $(srcdir)/..
+TOPBUILDDIR = $(builddir)/../fplll
+DEFINES =
+
+include_fpllldir=$(includedir)/fplll
+
+EXTRA_DIST=lattices/dim55_in \
+ lattices/example_in \
+ lattices/example_svp_in \
+ lattices/example_svp_out \
+ lattices/example_dsvp_in \
+ lattices/example_dsvp_out
+
+# include TOPBUILDIR for fplll_config.h
+AM_CPPFLAGS = -I$(TOPSRCDIR) -I$(TOPSRCDIR)/fplll -I$(TOPBUILDDIR) -DTESTDATADIR=\"$(TOPSRCDIR)/\"
+
+STAGEDIR := $(realpath -s $(TOPBUILDDIR)/.libs)
+AM_LDFLAGS = -L$(STAGEDIR) -Wl,-rpath,$(STAGEDIR) -lfplll -no-install $(LIBQD_LIBADD)
+
+TESTS = test_nr test_lll test_svp test_bkz test_pruner test_sieve
+
+test_pruner_LDADD=-lgmp -lmpfr $(LIBQD_LIBADD)
+test_sieve_LDADD=-lgmp -lmpfr $(LIBQD_LIBADD)
+
+test_nr_SOURCES = test_nr.cpp
+test_lll_SOURCES = test_lll.cpp
+test_svp_SOURCES = test_svp.cpp
+test_bkz_SOURCES = test_bkz.cpp
+test_pruner_SOURCES = test_pruner.cpp
+test_sieve_SOURCES = test_sieve.cpp
+
+check_PROGRAMS = $(TESTS)
--- /dev/null
+[[28915379691307635007036 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
+[14457673147006172469940 25167607588659113640693 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
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+[303315932505069143560793956614 -471778747772473599863454539191 -159518601465882642725422673731 266050451290101507628710440750 -453267154637327105220401157583 1232612076615643935238055853399 -56373830854974476512732467551 -144976672121690582973053598017 -210061257495621216780655938884 -1039534731886994840460099704454 896956624043147824507105517346 ]
+]
--- /dev/null
+[[-24 -31 -340 654 407 -428 113 31 112 -166 179 -185 -575 64 -121 -189 -55 44 655 57 23 ]
+[-107 99 -435 414 -480 103 184 -35 110 -145 -104 436 -294 484 160 -754 22 -289 526 -271 5 ]
+[-203 -672 262 688 159 -432 293 -10 86 -136 -266 -148 100 -660 42 34 260 618 293 270 6 ]
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+[-243 74 -594 -14 534 -294 364 156 -105 437 23 414 -410 -81 -431 -70 -150 -617 -214 127 -88 ]
+[-366 -23 -185 157 720 -236 82 550 194 -595 -213 -107 243 527 193 -501 -281 -599 25 -140 -18 ]
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+[68 -72 290 -97 -42 -121 -616 -201 196 376 -322 308 343 -212 287 463 415 88 -209 393 -840 ]
+[89 10 233 57 -378 -615 108 37 -70 526 438 231 464 386 -184 71 -637 175 183 -512 396 ]
+[-62 179 98 -240 -110 -589 272 784 112 1 -100 256 -116 -581 630 -705 124 -422 -227 -172 328 ]
+[150 64 220 -261 796 -248 191 113 -399 160 330 -57 -538 -438 298 295 548 146 536 -371 286 ]
+[276 728 78 73 280 250 -665 -262 285 -367 475 118 535 74 65 -89 -569 -1 -392 154 -628 ]
+[317 154 -6 199 63 -427 -274 -146 -430 167 -35 456 74 130 335 -674 592 -144 236 495 105 ]
+[-590 -345 -384 346 918 118 -19 -144 -636 144 405 -522 250 -54 180 132 162 -525 72 -213 403 ]
+[-152 563 187 131 118 -156 -209 -337 354 38 81 -64 682 650 -75 -519 569 181 352 -417 21 ]
+[-34 -243 235 331 663 -424 223 -339 476 -659 -719 -503 -498 -310 622 208 -182 511 -8 -317 743 ]
+]
--- /dev/null
+[88 -4 -88 351 -268 -4 -325 -351 275 -808 -117 310 127 16 15 516 74 51 413 50 -271]
--- /dev/null
+/* Copyright (C) 2016 Martin Albrecht
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include <cstring>
+#include <fplll.h>
+
+#ifndef TESTDATADIR
+#define TESTDATADIR ".."
+#endif
+
+using namespace std;
+using namespace fplll;
+
+template <class ZT> void read_matrix(ZZ_mat<ZT> &A, const char *input_filename)
+{
+ istream *is = new ifstream(input_filename);
+ *is >> A;
+ delete is;
+}
+
+/**
+ @brief Test BKZ reduction.
+
+ @param A test matrix
+ @param block_size block size
+ @param float_type floating point type to test
+ @param flags flags to use
+ @param prec precision if mpfr is used
+
+ @return zero on success.
+*/
+
+template <class ZT>
+int test_bkz(ZZ_mat<ZT> &A, const int block_size, FloatType float_type, int flags = BKZ_DEFAULT,
+ int prec = 0)
+{
+
+ int status = 0;
+
+ // zero on success
+ status = bkz_reduction(A, block_size, flags, float_type, prec);
+ if (status != RED_SUCCESS)
+ {
+ cerr << "BKZ reduction failed with error '" << get_red_status_str(status);
+ cerr << " for float type " << FLOAT_TYPE_STR[float_type] << endl;
+ }
+ return status;
+}
+
+/**
+ @brief Test BKZ strategy interface.
+
+ @param A test matrix
+ @param block_size block size
+
+ @return zero on success.
+*/
+
+template <class ZT> int test_bkz_param(ZZ_mat<ZT> &A, const int block_size, int flags = BKZ_DEFAULT)
+{
+
+ int status = 0;
+
+ vector<Strategy> strategies;
+ for (long b = 0; b <= block_size; b++)
+ {
+ Strategy strategy = Strategy::EmptyStrategy(b);
+ if (b == 10)
+ {
+ strategy.preprocessing_block_sizes.emplace_back(5);
+ }
+ else if (b == 20)
+ {
+ strategy.preprocessing_block_sizes.emplace_back(10);
+ }
+ else if (b == 30)
+ {
+ strategy.preprocessing_block_sizes.emplace_back(15);
+ }
+ strategies.emplace_back(std::move(strategy));
+ }
+
+ BKZParam params(block_size, strategies);
+ params.flags = flags;
+ // zero on success
+ status = bkz_reduction(&A, NULL, params, FT_DEFAULT, 53);
+ if (status != RED_SUCCESS)
+ {
+ cerr << "BKZ parameter test failed with error '" << get_red_status_str(status) << "'" << endl;
+ }
+ return status;
+}
+
+/**
+ @brief Test BKZ with pruning.
+
+ @param A test matrix
+ @param block_size block size
+
+ @return zero on success.
+*/
+
+template <class ZT>
+int test_bkz_param_linear_pruning(ZZ_mat<ZT> &A, const int block_size, int flags = BKZ_DEFAULT)
+{
+
+ int status = 0;
+ vector<Strategy> strategies;
+ for (long b = 0; b < block_size; b++)
+ {
+ Strategy strategy = Strategy::EmptyStrategy(b);
+ if (b == 10)
+ {
+ strategy.preprocessing_block_sizes.emplace_back(5);
+ }
+ else if (b == 20)
+ {
+ strategy.preprocessing_block_sizes.emplace_back(10);
+ }
+ else if (b == 30)
+ {
+ strategy.preprocessing_block_sizes.emplace_back(15);
+ }
+ strategies.emplace_back(std::move(strategy));
+ }
+
+ Strategy strategy;
+ strategy.pruning_parameters.emplace_back(Pruning::LinearPruning(block_size, block_size/2));
+ strategies.emplace_back(std::move(strategy));
+
+ BKZParam params(block_size, strategies);
+ params.flags = flags;
+ // zero on success
+ status = bkz_reduction(&A, NULL, params, FT_DEFAULT, 53);
+ if (status != RED_SUCCESS)
+ {
+ cerr << "BKZ parameter test failed with error '" << get_red_status_str(status) << "'" << endl;
+ }
+ return status;
+}
+
+template <class ZT>
+int test_bkz_param_pruning(ZZ_mat<ZT> &A, const int block_size, int flags = BKZ_DEFAULT)
+{
+
+ int status = 0;
+
+ vector<Strategy> strategies = load_strategies_json(TESTDATADIR "/strategies/default.json");
+ BKZParam params(block_size, strategies);
+ params.flags = flags;
+ // zero on success
+ status = bkz_reduction(&A, NULL, params, FT_DEFAULT, 53);
+ if (status != RED_SUCCESS)
+ {
+ cerr << "BKZ parameter test failed with error '" << get_red_status_str(status) << "'" << endl;
+ }
+ return status;
+}
+
+
+/**
+ @brief Test BKZ for matrix stored in file pointed to by `input_filename`.
+
+ @param input_filename a path
+ @param block_size block size
+ @param float_type floating point type to test
+ @param flags flags to use
+ @param prec precision if mpfr is used
+
+ @return zero on success
+*/
+
+template <class ZT>
+int test_filename(const char *input_filename, const int block_size,
+ FloatType float_type = FT_DEFAULT, int flags = BKZ_DEFAULT, int prec = 0)
+{
+ ZZ_mat<ZT> A, B;
+ read_matrix(A, input_filename);
+ B = A;
+ int status = 0;
+ status |= test_bkz<ZT>(A, block_size, float_type, flags, prec);
+ status |= test_bkz_param<ZT>(B, block_size);
+ return status;
+}
+
+/**
+ @brief Construct d × (d+1) integer relations matrix with bit size b and test BKZ.
+
+ @param d dimension
+ @param b bit size
+ @param block_size block size
+ @param float_type floating point type to test
+ @param flags flags to use
+ @param prec precision if mpfr is used
+
+ @return zero on success
+*/
+
+template <class ZT>
+int test_int_rel(int d, int b, const int block_size, FloatType float_type = FT_DEFAULT,
+ int flags = BKZ_DEFAULT, int prec = 0)
+{
+ ZZ_mat<ZT> A, B;
+ A.resize(d, d + 1);
+ A.gen_intrel(b);
+ B = A;
+ int status = 0;
+ status |= test_bkz<ZT>(A, block_size, float_type, flags | BKZ_VERBOSE, prec);
+ status |= test_bkz_param<ZT>(B, block_size);
+ status |= test_bkz_param_linear_pruning<ZT>(B, block_size);
+ status |= test_bkz_param_pruning<ZT>(B, block_size);
+ return status;
+}
+
+int test_linear_dep()
+{
+ ZZ_mat<mpz_t> A;
+ std::stringstream("[[1 2 3]\n [4 5 6]\n [7 8 9]]\n") >> A;
+ return test_bkz_param<mpz_t>(A, 3);
+}
+
+int main(int /*argc*/, char** /*argv*/)
+{
+
+ int status = 0;
+ status |= test_linear_dep();
+ status |= test_filename<mpz_t>("lattices/dim55_in", 10, FT_DEFAULT, BKZ_DEFAULT | BKZ_AUTO_ABORT);
+#ifdef FPLLL_HAVE_QD
+ status |= test_filename<mpz_t>("lattices/dim55_in", 10, FT_DD, BKZ_SD_VARIANT | BKZ_AUTO_ABORT);
+#endif
+ status |= test_filename<mpz_t>("lattices/dim55_in", 10, FT_DEFAULT, BKZ_SLD_RED);
+ status |= test_filename<mpz_t>("lattices/dim55_in", 20, FT_MPFR, BKZ_DEFAULT | BKZ_AUTO_ABORT, 128);
+ status |= test_filename<mpz_t>("lattices/dim55_in", 20, FT_MPFR, BKZ_SD_VARIANT | BKZ_AUTO_ABORT, 128);
+ status |= test_filename<mpz_t>("lattices/dim55_in", 20, FT_MPFR, BKZ_SLD_RED, 128);
+
+ status |= test_int_rel<mpz_t>(50, 1000, 10, FT_DOUBLE, BKZ_DEFAULT | BKZ_AUTO_ABORT);
+ status |= test_int_rel<mpz_t>(50, 1000, 10, FT_DOUBLE, BKZ_SD_VARIANT | BKZ_AUTO_ABORT);
+ status |= test_int_rel<mpz_t>(50, 1000, 10, FT_DOUBLE, BKZ_SLD_RED);
+ status |= test_int_rel<mpz_t>(50, 1000, 15, FT_MPFR, BKZ_DEFAULT | BKZ_AUTO_ABORT, 100);
+ status |= test_int_rel<mpz_t>(50, 1000, 15, FT_MPFR, BKZ_SD_VARIANT | BKZ_AUTO_ABORT, 100);
+ status |= test_int_rel<mpz_t>(50, 1000, 15, FT_MPFR, BKZ_SLD_RED, 100);
+
+ status |= test_int_rel<mpz_t>(30, 2000, 10, FT_DPE, BKZ_DEFAULT | BKZ_AUTO_ABORT);
+ status |= test_int_rel<mpz_t>(30, 2000, 10, FT_DPE, BKZ_SD_VARIANT | BKZ_AUTO_ABORT);
+ status |= test_int_rel<mpz_t>(30, 2000, 10, FT_DPE, BKZ_SLD_RED);
+ status |= test_int_rel<mpz_t>(30, 2000, 10, FT_MPFR, BKZ_DEFAULT | BKZ_AUTO_ABORT, 53);
+ status |= test_int_rel<mpz_t>(30, 2000, 10, FT_MPFR, BKZ_SD_VARIANT | BKZ_AUTO_ABORT, 53);
+ status |= test_int_rel<mpz_t>(30, 2000, 10, FT_MPFR, BKZ_SLD_RED, 53);
+
+ status |= test_filename<mpz_t>("lattices/example_in", 10);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_DEFAULT, BKZ_SD_VARIANT);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_DEFAULT, BKZ_SLD_RED);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_DOUBLE);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_DOUBLE, BKZ_SD_VARIANT);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_DOUBLE, BKZ_SLD_RED);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_MPFR, BKZ_AUTO_ABORT, 212);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_MPFR,
+ BKZ_SD_VARIANT | BKZ_AUTO_ABORT, 212);
+ status |=
+ test_filename<mpz_t>("lattices/example_in", 10, FT_MPFR, BKZ_SLD_RED | BKZ_AUTO_ABORT, 212);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_DOUBLE);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_DOUBLE, BKZ_SD_VARIANT);
+ status |= test_filename<mpz_t>("lattices/example_in", 10, FT_DOUBLE, BKZ_SLD_RED);
+
+ if (status == 0)
+ {
+ cerr << "All tests passed." << endl;
+ return 0;
+ }
+ else
+ {
+ return -1;
+ }
+
+ return 0;
+}
--- /dev/null
+/* Copyright (C) 2015 Martin Albrecht
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include <cstring>
+#include <fplll.h>
+
+using namespace std;
+using namespace fplll;
+
+template <class ZT> void read_matrix(ZZ_mat<ZT> &A, const char *input_filename)
+{
+ istream *is = new ifstream(input_filename);
+ *is >> A;
+ delete is;
+}
+
+/**
+ @brief Test the tester.
+
+ @param A
+ @return zero on success.
+*/
+
+template <class ZT> int test_test(ZZ_mat<ZT> &A)
+{
+ ZZ_mat<ZT> U;
+ ZZ_mat<ZT> UT;
+
+ MatGSO<Z_NR<ZT>, FP_NR<mpfr_t>> M(A, U, UT, 0);
+
+ int is_reduced = is_lll_reduced<Z_NR<ZT>, FP_NR<mpfr_t>>(M, LLL_DEF_DELTA, LLL_DEF_ETA);
+
+ if (is_reduced)
+ cerr << "is_lll_reduced reports success when it should not" << endl;
+
+ return is_reduced;
+}
+
+/**
+ @brief Test LLL reduction.
+
+ @param A test matrix
+ @param method LLL method to test
+ @param float_type floating point type to test
+ @param flags flags to use
+ @param prec precision used for is_lll_reduced
+
+ @return zero on success.
+*/
+
+template <class ZT>
+int test_lll(ZZ_mat<ZT> &A, LLLMethod method, FloatType float_type, int flags = LLL_DEFAULT,
+ int prec = 0)
+{
+
+ ZZ_mat<ZT> U;
+ ZZ_mat<ZT> UT;
+
+ int status = 0;
+
+ // zero on success
+ if (test_test(A))
+ {
+ return 0;
+ }
+
+ // zero on success
+ status = lll_reduction(A, LLL_DEF_DELTA, LLL_DEF_ETA, method, float_type, 0, flags);
+ if (status != RED_SUCCESS)
+ {
+ cerr << "LLL reduction failed with error '" << get_red_status_str(status);
+ cerr << "' for method " << LLL_METHOD_STR[method];
+ cerr << " and float type " << FLOAT_TYPE_STR[float_type] << endl;
+ return status;
+ }
+
+ const int old_prec = prec ? FP_NR<mpfr_t>::set_prec(prec) : 0;
+
+ MatGSO<Z_NR<ZT>, FP_NR<mpfr_t>> M(A, U, UT, 0);
+
+ // one on success
+ status = is_lll_reduced<Z_NR<ZT>, FP_NR<mpfr_t>>(M, LLL_DEF_DELTA, LLL_DEF_ETA);
+
+ if (prec)
+ FP_NR<mpfr_t>::set_prec(old_prec);
+
+ if (status == 0)
+ cerr << "Output of LLL reduction is not LLL reduced with method " << LLL_METHOD_STR[method]
+ << endl;
+
+ return (status == 0);
+}
+
+/**
+ @brief Test LLL for matrix stored in file pointed to by `input_filename`.
+
+ @param input_filename a path
+ @param method LLL method to test
+ @param float_type floating point type to test
+ @param flags flags to use
+ @param prec precision used for is_lll_reduced
+
+ @return zero on success
+*/
+
+template <class ZT>
+int test_filename(const char *input_filename, LLLMethod method, FloatType float_type = FT_DEFAULT,
+ int flags = LLL_DEFAULT, int prec = 0)
+{
+ ZZ_mat<ZT> A;
+ read_matrix(A, input_filename);
+ return test_lll<ZT>(A, method, float_type, flags, prec);
+}
+
+/**
+ @brief Construct d × (d+1) integer relations matrix with bit size b and test LLL.
+
+ @param d dimension
+ @param b bit size
+ @param method LLL method to test
+ @param float_type floating point type to test
+ @param flags flags to use
+ @param prec precision used for is_lll_reduced
+
+ @return zero on success
+*/
+
+template <class ZT>
+int test_int_rel(int d, int b, LLLMethod method, FloatType float_type = FT_DEFAULT,
+ int flags = LLL_DEFAULT, int prec = 0)
+{
+ ZZ_mat<ZT> A;
+ A.resize(d, d + 1);
+ A.gen_intrel(b);
+ return test_lll<ZT>(A, method, float_type, flags, prec);
+}
+
+int main(int /*argc*/, char ** /*argv*/)
+{
+
+ int status = 0;
+ status |= test_filename<mpz_t>("lattices/dim55_in", LM_WRAPPER, FT_DEFAULT, LLL_DEFAULT, 128);
+ status |= test_filename<mpz_t>("lattices/dim55_in", LM_PROVED, FT_MPFR);
+
+ status |= test_int_rel<mpz_t>(50, 1000, LM_FAST, FT_DOUBLE);
+ status |= test_int_rel<mpz_t>(50, 1000, LM_PROVED, FT_MPFR);
+
+ status |= test_int_rel<mpz_t>(30, 2000, LM_HEURISTIC, FT_DPE);
+ status |= test_int_rel<mpz_t>(30, 2000, LM_PROVED, FT_DPE);
+ status |= test_int_rel<mpz_t>(30, 2000, LM_PROVED, FT_MPFR);
+
+ status |= test_filename<mpz_t>("lattices/example_in", LM_HEURISTIC);
+ status |= test_filename<mpz_t>("lattices/example_in", LM_FAST, FT_DOUBLE);
+ status |= test_filename<mpz_t>("lattices/example_in", LM_PROVED, FT_MPFR);
+ status |=
+ test_filename<mpz_t>("lattices/example_in", LM_FAST, FT_DOUBLE, LLL_DEFAULT | LLL_EARLY_RED);
+ status |= test_filename<mpz_t>("lattices/example_in", LM_HEURISTIC, FT_DEFAULT,
+ LLL_DEFAULT | LLL_EARLY_RED);
+
+ if (status == 0)
+ {
+ cerr << "All tests passed." << endl;
+ return 0;
+ }
+ else
+ {
+ return -1;
+ }
+
+ return 0;
+}
--- /dev/null
+/* Copyright (C) 2016 Martin R. Albrecht
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include <cstring>
+#include <fplll.h>
+
+using namespace std;
+using namespace fplll;
+
+template <class FT> int test_str()
+{
+ int status = 0;
+ FT a = "1.01";
+ status |= !(abs(a - 1.01) < 0.001);
+ return status;
+}
+
+
+template <class FT> int test_arithmetic()
+{
+ FT a = 6.0, b = 3.0, c = -2;
+ FT d = 1.0 - (a * b + 2 * c + 2.0) / c;
+ int status = 0;
+ status |= d.cmp(9);
+ d += 1.0;
+ status |= d.cmp(10);
+ return status;
+}
+
+/**
+ @brief
+
+ zero on success.
+
+ @return
+*/
+
+template <class FT> int test_std()
+{
+ FT a;
+ a = 6.1;
+ int status = 0;
+ status |= !(abs(sqrt(a) - std::sqrt(a.get_d())) < 0.001);
+ status |= !(abs(log(a) - std::log(a.get_d())) < 0.001);
+ status |= !(abs(exp(a) - std::exp(a.get_d())) < 0.001);
+ status |= !(abs(floor(a) - std::floor(a.get_d())) < 0.001);
+ status |= !(abs(pow_si(a, 2) - std::pow(a.get_d(), 2.0)) < 0.001);
+ return status;
+}
+
+template <class FT> int test_root()
+{
+ FT a;
+ a = 6.1;
+ int status= !(abs(root(a, 3.0) - std::pow(a.get_d(), 1 / 3.0)) < 0.001);
+ return status;
+}
+
+
+
+int main(int argc, char *argv[])
+{
+
+ int status = 0;
+ status |= test_arithmetic<FP_NR<double>>();
+ status |= test_arithmetic<FP_NR<long double>>();
+#ifdef FPLLL_WITH_DPE
+ status |= test_arithmetic<FP_NR<dpe_t>>();
+#endif
+#ifdef FPLLL_WITH_QD
+ status |= test_arithmetic<FP_NR<dd_real>>();
+ status |= test_arithmetic<FP_NR<qd_real>>();
+#endif
+ status |= test_arithmetic<FP_NR<mpfr_t>>();
+
+ status |= test_std<FP_NR<double>>();
+ status |= test_std<FP_NR<long double>>();
+#ifdef FPLLL_WITH_DPE
+ status |= test_std<FP_NR<dpe_t>>();
+#endif
+#ifdef FPLLL_WITH_QD
+ status |= test_std<FP_NR<dd_real>>();
+ status |= test_std<FP_NR<qd_real>>();
+#endif
+ status |= test_std<FP_NR<mpfr_t>>();
+
+ status |= test_root<FP_NR<double>>();
+ status |= test_root<FP_NR<long double>>();
+#ifdef FPLLL_WITH_QD
+ status |= test_root<FP_NR<dd_real>>();
+ status |= test_root<FP_NR<qd_real>>();
+#endif
+ status |= test_root<FP_NR<mpfr_t>>();
+
+ status |= test_str<FP_NR<double>>();
+ status |= test_str<FP_NR<long double>>();
+#ifdef FPLLL_WITH_DPE
+ status |= test_str<FP_NR<dpe_t>>();
+#endif
+#ifdef FPLLL_WITH_QD
+ status |= test_str<FP_NR<dd_real>>();
+ status |= test_str<FP_NR<qd_real>>();
+#endif
+ status |= test_str<FP_NR<mpfr_t>>();
+
+ if (status == 0)
+ {
+ cerr << "All tests passed." << endl;
+ return 0;
+ }
+ else
+ {
+ return -1;
+ }
+
+ return 0;
+}
--- /dev/null
+/* Copyright (C) 2016 Leo Ducas
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include <cstring>
+#include <fplll.h>
+
+#ifdef FPLLL_WITH_QD
+#include <qd/dd_real.h>
+#endif
+
+using namespace std;
+using namespace fplll;
+
+/**
+ @brief Read matrix from `input_filename`.
+
+ @param A
+ @param input_filename
+ @return
+*/
+
+#define N 56
+#define D N / 2
+#define Nbis 24
+#define Dbis 12
+
+template <class FT> class Pruner<FT>::TestPruner
+{
+public:
+ Pruner<FT> pru;
+ int test_enforce()
+ {
+ vector<double> rs;
+ int status = 0;
+ for (int i = 0; i < N; ++i)
+ {
+ rs.emplace_back(1.);
+ }
+ pru.load_basis_shape(rs);
+ Pruner<FT>::evec b;
+ for (int i = 0; i < D; ++i)
+ {
+ b[i] = .3 + (1. * ((i * i * i) % D)) / (2 * D);
+ }
+ int j = D / 2;
+ b[j] = .5;
+
+ FT old_bj = b[j];
+ pru.enforce_bounds(b, j);
+
+ status |= !((b[j] >= old_bj) && (b[j] <= old_bj));
+ status |= !((b[D - 1] >= 1.) && (b[D - 1] <= 1.));
+ cerr << "Checking enforced bounds: Increasing, 1-terminated, keeping b[13] = .5" << endl;
+ for (int i = 0; i < D - 1; ++i)
+ {
+ status |= !(b[i + 1] >= b[i]);
+ cerr << b[i] << " , ";
+ }
+ cerr << b[D - 1] << endl;
+ return status;
+ }
+
+ int test_eval_poly()
+ {
+ Pruner<FT>::poly p;
+ FT x, y;
+ x = .3;
+ int ld = 3;
+ p[0] = 1;
+ p[1] = 1;
+ p[2] = 2;
+ p[3] = 3;
+
+ y = pru.eval_poly(ld, p, x);
+ cerr << "Testing eval_poly" << endl;
+ cerr << y << endl;
+ return abs(y - 1.561) > 1e-10;
+ }
+ int test_integrate_poly()
+ {
+ Pruner<FT>::poly p;
+ int ld = 3;
+ int status = 0;
+ p[0] = 1.;
+ p[1] = 1.;
+ p[2] = 2.;
+ p[3] = 3.;
+ pru.integrate_poly(ld, p);
+ cerr << "Testing integrate_poly" << endl;
+ for (int i = 0; i < 5; ++i)
+ {
+ cerr << p[i] << " ";
+ }
+ cerr << endl;
+ status |= abs(p[0] - 0.0) > 1e-10;
+ status |= abs(p[1] - 1.0) > 1e-10;
+ status |= abs(p[2] - 1. / 2) > 1e-10;
+ status |= abs(p[3] - 2. / 3) > 1e-10;
+ status |= abs(p[4] - 3. / 4) > 1e-10;
+ return status;
+ }
+
+ // To test relative volumes, we use the explicit formula
+ // for step function given in [GNR], I_alpha(n/4,n/4)
+ // computed using the following sage script
+ //
+ // alpha = XXX
+ // n = 24
+ // a = n/4
+ // b = n/4
+ // beta_dist = x**(a-1) * (1 - x)**(b-1)
+ // c = integral(beta_dist, x, 0, alpha)
+ // f = integral(beta_dist, x, 0, 1.)
+ // print c/f
+
+ // XXX = .3 ---> 0.07822479096
+ // XXX = .5 ---> 0.5
+ // XXX = .7 ---> 0.921775209040006
+
+ int test_relative_volume()
+ {
+ vector<double> pr;
+ pr.resize(Nbis);
+ cerr << "Testing relative volume" << endl;
+ int status = 0;
+
+ double proba, error;
+
+ for (int i = 0; i < Nbis / 2; ++i)
+ {
+ pr[i] = 1;
+ pr[i + (Nbis / 2)] = .3;
+ }
+
+ proba = fplll::svp_probability<FP_NR<double>>(pr);
+ error = std::abs(1 - proba / 0.07822479096);
+ cerr << proba << " relative error " << error << endl;
+ status |= error > .05;
+
+
+
+ for (int i = 0; i < Nbis / 2; ++i)
+ {
+ pr[i] = 1;
+ pr[i + (Nbis / 2)] = .5;
+ }
+
+ proba = fplll::svp_probability<FP_NR<double>>(pr);
+ error = std::abs(1 - proba / 0.5);
+ cerr << proba << " relative error " << error << endl;
+ status |= error > .05;
+
+ for (int i = 0; i < Nbis / 2; ++i)
+ {
+ pr[i] = 1;
+ pr[i + (Nbis / 2)] = .7;
+ }
+
+ proba = fplll::svp_probability<FP_NR<double>>(pr);
+ error = std::abs(1 - proba / 0.92177520904);
+ cerr << proba << " relative error " << error << endl;
+ status |= error > .05;
+
+ return status;
+ }
+};
+
+void set_up_gso_norms(vector<double> &gso_sq_norms)
+{
+ for (int i = 0; i < N; ++i)
+ {
+ // A bit more than LLL reduced
+ gso_sq_norms.emplace_back(pow(1.06, -i));
+ }
+}
+
+template <class FT> int test_prepruned()
+{
+ int status = 0;
+ cerr << "Checking Pre-pruned" << endl;
+ Pruner<FT> pru;
+ vector<double> gso_sq_norms;
+ set_up_gso_norms(gso_sq_norms);
+ pru.load_basis_shape(gso_sq_norms);
+
+ vector<double> pr = {1, 1, 1, 1, 1, 1, 1, 1,
+ 1, 1, 1, 1, 1, 1, 0.937197, 0.937197,
+ 0.871731, 0.871731, 0.814304, 0.814304, 0.762232, 0.762232, 0.713898, 0.713898,
+ 0.668279, 0.668279, 0.624701, 0.624701, 0.58271, 0.58271, 0.541994, 0.541994,
+ 0.502342, 0.502342, 0.463617, 0.463617, 0.425747, 0.425747, 0.388723, 0.388723,
+ 0.35262, 0.35262, 0.317642, 0.317642, 0.284261, 0.284261, 0.254584, 0.254584,
+ 0.254584, 0.254584, 0.254584, 0.254584, 0.111895, 0.111895, 0.111895, 0.111895};
+
+ pru.enumeration_radius = .85;
+ double cost = pru.single_enum_cost(pr);
+ cerr << "Cost per enum " << cost << endl;
+ status |= (abs(1 - cost / 1.7984e+07) > .01);
+ double proba = pru.svp_probability(pr);
+ cerr << "success proba " << proba << endl;
+ status |= (abs(1 - proba / .506) > .01);
+ return status;
+}
+
+template <class FT> int test_unpruned()
+{
+ int status = 0;
+ cerr << "Checking Un-pruned" << endl;
+ Pruner<FT> pru;
+ vector<double> gso_sq_norms;
+ set_up_gso_norms(gso_sq_norms);
+ pru.load_basis_shape(gso_sq_norms);
+
+ vector<double> pr;
+ for (int i = 0; i < N; ++i)
+ {
+ pr.emplace_back(1.);
+ }
+ pru.enumeration_radius = .85;
+ double cost = pru.single_enum_cost(pr);
+ cerr << "Cost per enum " << cost << endl;
+
+ status = (abs(1 - cost / 3.20e+10) > .02);
+ double proba = pru.svp_probability(pr);
+ cerr << "success proba " << proba << endl;
+ status |= (abs(1 - proba) > .02);
+
+
+ vector<vector<double> > gso_sq_norms_vec;
+ vector<double> v1,v2,v3;
+ v1 = gso_sq_norms;
+ v2 = gso_sq_norms;
+ v3 = gso_sq_norms;
+
+ gso_sq_norms_vec.emplace_back(v1);
+ gso_sq_norms_vec.emplace_back(v2);
+ for (int i = 0; i < N; ++i)
+ {
+ v3[i] *= 20;
+ }
+
+ gso_sq_norms_vec.emplace_back(v3);
+ pru.load_basis_shapes(gso_sq_norms_vec);
+
+ cerr << "Repeating same checks with 3 bases" << endl;
+
+ pru.enumeration_radius = .85;
+ cost = pru.single_enum_cost(pr);
+ cerr << "Cost per enum " << cost << endl;
+
+ status = (abs(1 - 3./2. * cost / 3.20e+10) > .02);
+ proba = pru.svp_probability(pr);
+ cerr << "success proba " << proba << endl;
+ status |= (abs(1 - proba) > .02);
+ return status;
+}
+
+template <class FT> int test_auto_prune(size_t n) {
+ int status = 0;
+ IntMatrix A(2*n, 2*n);
+ A.gen_ntrulike(30);
+ IntMatrix U;
+ MatGSO<Z_NR<mpz_t>, FT> M(A, U, U, GSO_DEFAULT);
+ LLLReduction<Z_NR<mpz_t>, FT> lll_obj = LLLReduction<Z_NR<mpz_t>, FT>(M, LLL_DEF_DELTA, LLL_DEF_ETA, LLL_DEFAULT);
+ lll_obj.lll();
+ FT radius;
+ // NOTE: because NTRUlike lattice has a verri short vector 1111..
+ // which is sometimes found by LLL, the pruner is only ran on dimension 1...2n-1.
+ M.get_r(radius, 1, 1);
+ Pruning pruning;
+ cerr << "Testing auto_prune " << endl;
+ cerr << "RAD " << radius.get_d() << endl;
+
+
+ cerr << endl << "Gradient " << endl;
+ pruning = prune<FT, Z_NR<mpz_t>, FT >(radius.get_d(), 1.0e8, 0.67, M, PRUNER_METHOD_GRADIENT, 1, 2*n);
+ status |= !(pruning.probability <= 1.0);
+ status |= !(pruning.probability > 0.0);
+ status |= !(pruning.radius_factor >= 1.0);
+ status |= !(pruning.coefficients[0] == 1.0);
+
+
+ cerr << endl << "NelderMead " << endl;
+ pruning = prune<FT, Z_NR<mpz_t>, FT >(radius.get_d(), 1.0e8, 0.67, M, PRUNER_METHOD_NM, 1, 2*n);
+ status |= !(pruning.probability <= 1.0);
+ status |= !(pruning.probability > 0.0);
+ status |= !(pruning.radius_factor >= 1.0);
+ status |= !(pruning.coefficients[0] == 1.0);
+
+
+ cerr << endl << "Hybrid " << endl;
+ pruning = prune<FT, Z_NR<mpz_t>, FT >(radius.get_d(), 1.0e8, 0.67, M, PRUNER_METHOD_HYBRID, 1, 2*n);
+ status |= !(pruning.probability <= 1.0);
+ status |= !(pruning.probability > 0.0);
+ status |= !(pruning.radius_factor >= 1.0);
+ status |= !(pruning.coefficients[0] == 1.0);
+
+
+
+ return status;
+}
+
+int main(int argc, char *argv[])
+{
+
+ int status = 0;
+ status |= test_unpruned<FP_NR<double>>();
+ status |= test_unpruned<FP_NR<long double>>();
+#ifdef FPLLL_WITH_QD
+ status |= test_unpruned<FP_NR<dd_real>>();
+#endif
+ status |= test_unpruned<FP_NR<mpfr_t>>();
+
+ status |= test_prepruned<FP_NR<double>>();
+ status |= test_prepruned<FP_NR<long double>>();
+ status |= test_prepruned<FP_NR<mpfr_t>>();
+
+ Pruner<FP_NR<long double>>::TestPruner tp;
+ status |= tp.test_enforce();
+ status |= tp.test_eval_poly();
+ status |= tp.test_integrate_poly();
+ status |= tp.test_relative_volume();
+
+#ifdef FPLLL_WITH_QD
+ Pruner<FP_NR<dd_real>>::TestPruner tp2;
+ status |= tp2.test_enforce();
+ status |= tp2.test_eval_poly();
+ status |= tp2.test_integrate_poly();
+ status |= tp2.test_relative_volume();
+#endif
+
+ status |= test_auto_prune<FP_NR<double> >(20);
+ status |= test_auto_prune<FP_NR<double> >(25);
+
+ if (status == 0)
+ {
+ cerr << "All tests passed." << endl;
+ return 0;
+ }
+ else
+ {
+ return -1;
+ }
+
+ return 0;
+}
--- /dev/null
+#include <cstring>
+#include <fplll.h>
+#include <../fplll/sieve/sieve_main.h> /* standalone bin */
+
+#ifndef TESTDATADIR
+#define TESTDATADIR ".."
+#endif
+
+using namespace std;
+using namespace fplll;
+
+/**
+ @brief Read matrix from `input_filename`.
+
+ @param A
+ @param input_filename
+ @return
+*/
+template <class ZT>
+void read_matrix(ZZ_mat<ZT> &A, const char *input_filename)
+{
+ istream *is = new ifstream(input_filename);
+ *is >> A;
+ delete is;
+}
+
+
+/**
+ @brief Read vector from `input_filename` into `b`.
+
+ @param b vector
+ @param input_filename filename
+ @return
+*/
+template <class ZT>
+void read_vector(vector<Z_NR<ZT>> &b, const char *input_filename)
+{
+ istream *is = new ifstream(input_filename);
+ *is >> b;
+ delete is;
+}
+
+
+/**
+ @brief Test sieve by checking if function returns correct vector.
+
+ @param A input lattice
+ @param b shortest vector
+ @return
+*/
+template <class ZT>
+int test_sieve_alg (ZZ_mat<ZT> &A, IntVect &b, int alg) {
+ GaussSieve<ZT, FP_NR<double> > gsieve(A, alg, 0, 0);
+ Z_NR<ZT> goal_norm;
+ goal_norm = 0;
+ gsieve.set_goal_norm2 (goal_norm);
+ if (gsieve.alg == 3)
+ gsieve.run_3sieve();
+ else if (gsieve.alg == 4)
+ gsieve.run_4sieve();
+ else
+ gsieve.run_2sieve();
+ NumVect<Z_NR<ZT> > v = gsieve.return_first();
+ Z_NR<ZT> tmp;
+ Z_NR<ZT> norm_s;
+ Z_NR<ZT> norm_b;
+ for (int i = 0; i < A.get_cols(); i++)
+ {
+ tmp.mul(v[i], v[i]);
+ norm_s.add(norm_s, tmp);
+ tmp.mul(b[i], b[i]);
+ norm_b.add(norm_b, tmp);
+ }
+ if (norm_s != norm_b)
+ return 1;
+ return 0;
+}
+
+
+template <class ZT>
+int test_sieve(ZZ_mat<ZT> &A, IntVect &b) {
+ int r = 0;
+ r |= test_sieve_alg<ZT>(A, b, 2);
+ r |= test_sieve_alg<ZT>(A, b, 3);
+ r |= test_sieve_alg<ZT>(A, b, 4);
+ return r;
+}
+
+
+/**
+ @brief Test sieve for matrix stored in file pointed to by `input_filename`.
+
+ @param input_filename a path
+ @return zero on success
+*/
+template <class ZT>
+int test_filename (const char *input_filename, const char *output_filename) {
+ ZZ_mat<ZT> A;
+ read_matrix(A, input_filename);
+ IntVect b;
+ read_vector(b, output_filename);
+ return test_sieve<ZT>(A, b);
+}
+
+/*
+ Note make check uses the following relative path for the filename.
+*/
+int main(int /*argc*/, char ** /*argv*/) {
+
+ int status = 0;
+ status |= test_filename<mpz_t>(TESTDATADIR "/tests/lattices/example_svp_in",
+ TESTDATADIR "/tests/lattices/example_svp_out");
+ if (status == 0)
+ {
+ cerr << "All tests passed." << endl;
+ return 0;
+ }
+ else
+ {
+ return -1;
+ }
+
+ return 0;
+}
--- /dev/null
+/* Copyright (C) 2015 Martin Albrecht
+ * 2016 Michael Walter
+
+ This file is part of fplll. fplll is free software: you
+ can redistribute it and/or modify it under the terms of 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.
+
+ fplll 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+
+#include <cstring>
+#include <fplll.h>
+
+#ifndef TESTDATADIR
+#define TESTDATADIR ".."
+#endif
+
+
+using namespace std;
+using namespace fplll;
+
+enum Test
+{
+ SVP_ENUM,
+ DSVP_ENUM,
+ DSVP_REDUCE
+};
+
+/**
+ @brief Read matrix from `input_filename`.
+
+ @param A
+ @param input_filename
+ @return
+*/
+
+template <class ZT> void read_matrix(ZZ_mat<ZT> &A, const char *input_filename)
+{
+ istream *is = new ifstream(input_filename);
+ *is >> A;
+ delete is;
+}
+
+/**
+ @brief Read vector from `input_filename` into `b`.
+
+ @param b vector
+ @param input_filename filename
+ @return
+*/
+
+template <class ZT> void read_vector(vector<Z_NR<ZT>> &b, const char *input_filename)
+{
+ istream *is = new ifstream(input_filename);
+ *is >> b;
+ delete is;
+}
+
+/**
+ @brief Test if SVP function returns vector with right norm.
+
+ @param A input lattice
+ @param b shortest vector
+ @return
+*/
+
+template <class ZT> int test_svp(ZZ_mat<ZT> &A, IntVect &b)
+{
+ IntVect sol_coord; // In the LLL-reduced basis
+ IntVect sol_coord2; // In the initial basis
+ IntVect solution;
+ IntMatrix u;
+
+ int status =
+ lll_reduction(A, u, LLL_DEF_DELTA, LLL_DEF_ETA, LM_WRAPPER, FT_DEFAULT, 0, LLL_DEFAULT);
+ if (status != RED_SUCCESS)
+ {
+ cerr << "LLL reduction failed: " << get_red_status_str(status) << endl;
+ return status;
+ }
+
+ status = shortest_vector(A, sol_coord, SVPM_PROVED, SVP_DEFAULT);
+
+ if (status != RED_SUCCESS)
+ {
+ cerr << "Failure: " << get_red_status_str(status) << endl;
+ return status;
+ }
+
+ vector_matrix_product(sol_coord2, sol_coord, u);
+ vector_matrix_product(solution, sol_coord, A);
+
+ Z_NR<ZT> tmp;
+ Z_NR<ZT> norm_s;
+ Z_NR<ZT> norm_b;
+
+ for (int i = 0; i < A.get_cols(); i++)
+ {
+ tmp.mul(solution[i], solution[i]);
+ norm_s.add(norm_s, tmp);
+
+ tmp.mul(b[i], b[i]);
+ norm_b.add(norm_b, tmp);
+ }
+ if (norm_s != norm_b)
+ return 1;
+
+ return 0;
+}
+
+/**
+ @brief Compute the norm of a dual vector (specified by coefficients in the dual basis).
+
+ @param A input lattice
+ @param b coefficients of shortest dual vector
+ @return
+*/
+template <class ZT> int dual_length(Float &norm, ZZ_mat<ZT> &A, const IntVect &coords)
+{
+ int d = coords.size();
+ if (A.get_rows() != d)
+ {
+ cerr << "DSVP length error: Coefficient vector has wrong dimension: ";
+ cerr << A.get_rows() << " vs " << d << endl;
+ return 1;
+ }
+ FloatVect coords_d(d);
+ for (int i = 0; i < d; i++)
+ {
+ coords_d[i] = coords[i].get_d();
+ }
+
+ IntMatrix empty_mat;
+ MatGSO<Integer, Float> gso(A, empty_mat, empty_mat, GSO_INT_GRAM);
+ if (!gso.update_gso())
+ {
+ cerr << "GSO Failure." << endl;
+ return 1;
+ }
+ Float tmp;
+ gso.get_r(tmp, d - 1, d - 1);
+ tmp.pow_si(tmp, -1);
+
+ FloatVect alpha(d);
+ Float mu, alpha2, r_inv;
+ norm = 0.0;
+ for (int i = 0; i < d; i++)
+ {
+ alpha[i] = coords_d[i];
+ for (int j = 0; j < i; j++)
+ {
+ gso.get_mu(mu, i, j);
+ alpha[i] -= mu * alpha[j];
+ }
+ gso.get_r(r_inv, i, i);
+ r_inv.pow_si(r_inv, -1);
+ alpha2.pow_si(alpha[i], 2);
+ norm += alpha2 * r_inv;
+ }
+
+ return 0;
+}
+
+/**
+ @brief Test if dual SVP function returns vector with right norm.
+
+ @param A input lattice
+ @param b shortest dual vector
+ @return
+*/
+
+template <class ZT> int test_dual_svp(ZZ_mat<ZT> &A, IntVect &b)
+{
+ IntVect sol_coord; // In the LLL-reduced basis
+ IntVect solution;
+ IntMatrix u;
+
+ Float normb;
+ if (dual_length(normb, A, b))
+ {
+ return 1;
+ }
+
+ int status =
+ lll_reduction(A, u, LLL_DEF_DELTA, LLL_DEF_ETA, LM_WRAPPER, FT_DEFAULT, 0, LLL_DEFAULT);
+ if (status != RED_SUCCESS)
+ {
+ cerr << "LLL reduction failed: " << get_red_status_str(status) << endl;
+ return status;
+ }
+
+ status = shortest_vector(A, sol_coord, SVPM_FAST, SVP_DUAL);
+
+ if (status != RED_SUCCESS)
+ {
+ cerr << "Failure: " << get_red_status_str(status) << endl;
+ return status;
+ }
+
+ Float norm_sol;
+ if (dual_length(norm_sol, A, sol_coord))
+ {
+ return 1;
+ }
+
+ Float error;
+ error = 1;
+ error.mul_2si(error, -(int)error.get_prec());
+ normb += error;
+ if (norm_sol > normb)
+ {
+ cerr << "Returned dual vector too long by more than " << error << endl;
+ return 1;
+ }
+
+ return 0;
+}
+
+/**
+ @brief Test if dual SVP reduction returns reduced basis.
+
+ @param A input lattice
+ @param b shortest dual vector
+ @return
+*/
+template <class ZT> int test_dsvp_reduce(ZZ_mat<ZT> &A, IntVect &b)
+{
+ IntMatrix u;
+ int d = A.get_rows();
+
+ Float normb;
+ if (dual_length(normb, A, b))
+ {
+ return 1;
+ }
+
+ int status =
+ lll_reduction(A, u, LLL_DEF_DELTA, LLL_DEF_ETA, LM_WRAPPER, FT_DEFAULT, 0, LLL_DEFAULT);
+ if (status != RED_SUCCESS)
+ {
+ cerr << "LLL reduction failed: " << get_red_status_str(status) << endl;
+ return status;
+ }
+
+ IntMatrix empty_mat;
+ MatGSO<Integer, Float> gso(A, empty_mat, empty_mat, GSO_INT_GRAM);
+ LLLReduction<Integer, Float> lll_obj(gso, LLL_DEF_DELTA, LLL_DEF_ETA, LLL_DEFAULT);
+
+ vector<Strategy> strategies;
+ BKZParam dummy(d, strategies);
+ BKZReduction<Float> bkz_obj(gso, lll_obj, dummy);
+ bool clean = true;
+
+ bkz_obj.svp_reduction_ex(0, d, dummy, clean, true);
+ status = bkz_obj.status;
+ if (status != RED_SUCCESS)
+ {
+ cerr << "Failure: " << get_red_status_str(status) << endl;
+ return status;
+ }
+
+ Float norm_sol;
+ Integer zero;
+ zero = 0;
+ IntVect e_n(d, zero);
+ e_n[d - 1] = 1;
+ if (dual_length(norm_sol, A, e_n))
+ {
+ return 1;
+ }
+
+ Float error;
+ error = 1;
+ error.mul_2si(error, -(int)error.get_prec());
+ normb += error;
+ if (norm_sol > normb)
+ {
+ cerr << "Last dual vector too long by more than " << error << endl;
+ return 1;
+ }
+
+ return 0;
+}
+
+/**
+ @brief Test if SVP function returns vector with right norm.
+
+ @param input_filename filename of an input lattice
+ @param output_filename filename of a shortest vector
+ @return
+*/
+
+template <class ZT>
+int test_filename(const char *input_filename, const char *output_filename,
+ const Test test = SVP_ENUM)
+{
+ ZZ_mat<ZT> A;
+ read_matrix(A, input_filename);
+
+ IntVect b;
+ read_vector(b, output_filename);
+
+ switch (test)
+ {
+ case SVP_ENUM:
+ return test_svp<ZT>(A, b);
+ case DSVP_ENUM:
+ return test_dual_svp<ZT>(A, b);
+ case DSVP_REDUCE:
+ return test_dsvp_reduce<ZT>(A, b);
+ }
+
+ cerr << "Unknown test." << endl;
+ return 1;
+}
+
+/**
+ @brief Run SVP tests.
+
+ @param argc ignored
+ @param argv ignored
+ @return
+*/
+
+int main(int argc, char *argv[])
+{
+
+ int status = 0;
+ status |= test_filename<mpz_t>(TESTDATADIR "/tests/lattices/example_svp_in",
+ TESTDATADIR "/tests/lattices/example_svp_out");
+ status |=
+ test_filename<mpz_t>(TESTDATADIR "/tests/lattices/example_dsvp_in",
+ TESTDATADIR "/tests/lattices/example_dsvp_out", DSVP_ENUM);
+ status |=
+ test_filename<mpz_t>(TESTDATADIR "/tests/lattices/example_dsvp_in",
+ TESTDATADIR "/tests/lattices/example_dsvp_out", DSVP_REDUCE);
+
+ if (status == 0)
+ {
+ cerr << "All tests passed." << endl;
+ return 0;
+ }
+ else
+ {
+ return -1;
+ }
+
+ return 0;
+}
--- /dev/null
+#!/usr/bin/python
+# -*- coding: utf-8 -*-
+from optparse import OptionParser
+
+def do_plot(filename):
+ import matplotlib.pyplot as plt
+ x1,x2,y1,y2 = None,None,None,None
+ for i,line in enumerate(open(filename).readlines()):
+
+ plt.clf()
+ line = line.strip()
+ name, data = line.split(":")
+ data = [d for d in data.split(" ") if d]
+ data = map(float, data)
+
+ plt.plot(range(len(data)), data)
+ plt.xlabel(name)
+
+ if i == 0:
+ x1,x2,y1,y2 = plt.axis()
+ else:
+ axes = plt.gca()
+ axes.set_xlim([x1,x2])
+ axes.set_ylim([y1,y2])
+ from os.path import basename
+ name = basename(filename)
+ plt.savefig("%s-%04d.png"%(name,i))
+
+def main():
+ parser = OptionParser(usage="""\
+""")
+ opts, args = parser.parse_args()
+
+ try:
+ filename = args[0]
+ except IndexError:
+ parser.print_help()
+ return
+
+ do_plot(filename)
+
+if __name__ == '__main__':
+ main()
\ No newline at end of file
--- /dev/null
+#!/usr/bin/perl
+###########################################################################
+# Copyright (C) 2013 Damien Stehle.
+#
+# This file is part of fplll. fplll is free software: you
+# can redistribute it and/or modify it under the terms of 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.
+#
+# fplll 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 Lesser General Public License for more details.
+#
+# You should have received a copy of the GNU Lesser General Public License
+# along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+##########################################################################
+
+
+$r=@ARGV[0];
+$c=@ARGV[1];
+
+
+
+$i=0;
+while(<stdin>)
+{
+ while (s/^[^0123456789\-\+]*([\-]?[0-9]+)([^0-9].*)$/$2/)#$1=first number in chain, $2=queue of string -> $_.
+ {
+ @v[$i++]=$1;
+ }
+}
+
+die "bizarre : $i != $r * $c" if ($i!=$r*$c);
+print "[";
+$k=0;
+for ($i=0;$i<$r;$i++)
+{
+ print "[";
+ for ($j=0;$j<$c;$j++)
+ {
+ print @v[$k++];
+ print " ";
+ }
+ print "]\n";
+}
+print "]";
--- /dev/null
+#!/usr/bin/perl
+###########################################################################
+# Copyright (C) 2013 Damien Stehle.
+#
+# This file is part of fplll. fplll is free software: you
+# can redistribute it and/or modify it under the terms of 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.
+#
+# fplll 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 Lesser General Public License for more details.
+#
+# You should have received a copy of the GNU Lesser General Public License
+# along with fplll. If not, see <http://www.gnu.org/licenses/>. */
+##########################################################################
+
+$r=@ARGV[0];
+$c=@ARGV[1];
+
+
+
+$i=0;
+while(<stdin>)
+{
+ while (s/^[^0123456789\-\+]*([\-]?[0-9]+)([^0-9].*)$/$2/)#$1=first number in chain, $2=queue of string -> $_.
+ {
+ @v[$i++]=$1;
+ }
+}
+
+die "bizarre : $i != $r * $c" if ($i!=$r*$c);
+print "B:=RMatrixSpace(Integers(), $r, $c) ! [";
+$k=0;
+for ($i=0;$i<$r;$i++)
+{
+ for ($j=0;$j<$c;$j++)
+ {
+ print @v[$k++];
+ print "," if ($i!=$r-1 || $j!=$c-1);
+ }
+}
+print "];";
projects / fplll.git / commitdiff