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Author SHA1 Message Date
66dbc2c70a Merge pull request #9 from boostorg/develop
Merge develop to master
2017-06-10 08:29:02 +01:00
10026d9b6f Disable some tests on older compilers that we know won't pass. 2017-06-09 19:47:18 +01:00
3e84cde165 Merge branch 'develop' of https://github.com/boostorg/integer into develop 2017-06-09 14:52:03 +01:00
5c129565d5 CI: add missing appveyor dependency 2017-06-09 14:51:50 +01:00
9a26557f38 Merge pull request #7 from DanielaE/fix/narrowing
fix narrowing warnings due to integer promotion.
2017-06-08 19:25:00 +01:00
6ebccd6c80 fix narrowing warnings due to integer promotion.
Signed-off-by: Daniela Engert <dani@ngrt.de>
2017-06-08 17:40:32 +02:00
6662dbdbbd CI: Fix appveyor bjam arguments. 2017-06-04 08:02:14 +01:00
81a7c92b6c CI: Add missing dependency to utility. 2017-06-01 08:48:02 +01:00
4406ec8039 Merge branch 'develop' of https://github.com/boostorg/integer into develop 2017-05-31 18:45:28 +01:00
8e63e7f284 CI: Add more testers and minimise dependencies. 2017-05-31 18:45:16 +01:00
0c956331a0 Fix gmp test failures 2017-05-09 19:52:20 +01:00
943d63e309 Fix use of check-target-builds in Jamfile. 2017-05-09 18:03:03 +01:00
7ccb820893 Test mpz_class when available.
And fix errors compiling with that type.
2017-05-07 13:15:15 +01:00
84ded579f3 Qualify recursive calls to avoid ambiguity for types that have their own gcd/lcm 2017-05-04 11:12:33 +01:00
c1a08d3185 We can enable compiler intrinsics with GCC in C++14 mode after all 2017-04-30 18:49:47 +01:00
53306630db Fix for Oracle 12.4 compiler 2017-04-27 17:23:40 +00:00
1d934167fd Tentative fix for overload resolution issue with Oracle C++. 2017-04-26 19:51:03 +01:00
9c75396c05 Fix more explicit instantiations in test cases. 2017-04-26 19:11:18 +01:00
7c0151c93a Enumerators don't need a final , in their list. 2017-04-26 18:30:11 +01:00
52e2dba49b Merge branch 'develop' of https://github.com/boostorg/integer into develop 2017-04-26 18:24:22 +01:00
395735a193 Add tests for multiprecision types and fix test program to still compile. 2017-04-26 18:24:09 +01:00
240b96ddec Add appveyor.yml 2017-04-25 17:26:57 +03:00
6af0e7ee85 Merge branch 'develop' of https://github.com/boostorg/integer into develop 2017-04-24 19:20:02 +01:00
4991d82385 Need to take abs of return value in short-circuit gcd code. 2017-04-24 19:19:48 +01:00
2b133e8ea8 Merge branch 'develop' of https://github.com/boostorg/integer into develop 2017-04-24 21:08:11 +03:00
55e81c5ba7 Fetch test dependencies in .travis.yml 2017-04-24 21:07:48 +03:00
52ce75ed65 Merge branch 'develop' of https://github.com/boostorg/integer into develop
# Please enter a commit message to explain why this merge is necessary,
# especially if it merges an updated upstream into a topic branch.
#
# Lines starting with '#' will be ignored, and an empty message aborts
# the commit.
2017-04-24 18:52:16 +01:00
3e43dd6fc2 Update history. 2017-04-24 18:50:19 +01:00
b2dcad8daf Add .travis.yml 2017-04-24 20:49:14 +03:00
58d53beae4 Add missing #include for older compilers. 2017-04-24 18:18:36 +01:00
f5eff7d83d MSVC-8 has no <intrin.h>. 2017-04-24 18:13:56 +01:00
efb84707f0 Update docs to match new gcd/lcm code. 2017-04-24 13:01:57 +01:00
beb6871864 Switch over to using new Boost.Math version of gcd/lcm.
Please refer to the Boost.Math revision log for details of changes, but in summary:
* New version of gcd/lcm internals by Jeremy Murphy include mixed-binary algorithm and better selection logic.
* Support is now included for gcd's of polynomials.
* Full C++14 constexpr support.
2017-04-23 13:01:09 +01:00
162e48d14a Remove dependency to mpl and type_traits. 2017-03-31 18:34:14 +01:00
74939edefe Merge branch 'cpp14' into develop 2017-03-30 19:07:30 +01:00
f650385f65 Disable test case that causes msvc internal error. 2017-03-30 18:50:57 +01:00
39d9701857 Enable one more noexcept test 2017-03-28 19:30:48 +01:00
45cc025bbd Merge branch 'bugfix/bitwise-not-and-gcc6' of https://github.com/Flast/boost-integer into cpp14 2017-03-28 19:28:51 +01:00
13b36d8432 Add tests for C++14 support. 2017-03-28 19:06:13 +01:00
a52bae3639 Improve C++14 support:
* Make functions constexpr.
* Make functions noexcept where appropriate.
* Add test case for the above.
2017-03-28 18:57:50 +01:00
0d964fe6fc Add, and update, documentation build targets. 2016-10-10 11:39:50 -05:00
13b153c657 Add, and update, documentation build targets. 2016-10-07 23:07:34 -05:00
89cec128bd Fix compile error on GCC6 or later.
Bitwise not yields integral promotion and to be signed type.
2016-07-30 16:12:07 +09:00
14020f6f6c Merge branch 'develop' 2015-03-09 08:10:54 +01:00
175a1caa58 Placed GCD and LCM typdefs and declarations in integer_fwd.hpp inside namespace boost::integer (was in boost::math) and checked that expected tests pass (and expected fails fail).
(Major update to Boost.Integer docs available for review at https://dl.dropboxusercontent.com/u/43940943/modular-boost/libs/integer/index.html
on branch doc-revision).
2015-01-29 11:53:02 +00:00
1ff7278d5f Added compile fail test for uint_t<65>. related to #6169. 2015-01-25 17:26:09 +01:00
a12b96c011 manage with #4881. 2015-01-25 17:11:04 +01:00
7ffb75bb43 manage with #6694 Boost.Integer part. 2015-01-25 17:03:09 +01:00
83feb20e51 Missing #include
Test case uses mpl:: types without including the needed header - exposed by ongoing type traits rewrite.
2015-01-23 19:05:59 +00:00
66ae9dc182 Merge branch 'develop' 2015-01-18 20:04:57 +02:00
c5370a9705 Fix ambiguous 'detail' errors under msvc-8.0. 2015-01-18 20:04:09 +02:00
603f412c1b Merge branch 'develop' 2015-01-13 20:54:39 +02:00
8dae82faeb Replace math with integer, untabify. 2015-01-13 20:53:02 +02:00
1a72919419 Add common_factor_test to test/Jamfile, switch to lightweight_test. 2015-01-13 20:33:50 +02:00
acf272ee7d Move common_factor headers to integer/ 2015-01-13 19:55:58 +02:00
de8b1d86f4 Merge branch 'develop' 2015-01-13 19:50:23 +02:00
7ada3ee926 Reapply final math-gcd.qbk commit. 2015-01-13 19:49:06 +02:00
4622a12f01 Added licence info.
[SVN r84266]
2015-01-13 19:42:24 +02:00
88b3ac5619 Change to quickbook 1.6. Change to use chapters at the top level. Big search and replace on link names.
[SVN r84201]
2015-01-13 19:42:11 +02:00
ae8ee599ac Reorganise directory structure to make things easier to find and maintain.
[SVN r84143]
2015-01-13 19:42:11 +02:00
9677dbd035 Added missing #include <iostream>
[SVN r81697]
2015-01-13 19:42:10 +02:00
e394f8fd86 Change PDF URL to SF download page. Add optional index generation.
[SVN r67545]
2015-01-13 19:42:10 +02:00
95a4f1e235 Update docs to match code.
[SVN r63409]
2015-01-13 19:42:09 +02:00
f194e652ab Fix links to pdfs in the maths documentation.
[SVN r45861]
2015-01-13 19:42:09 +02:00
e64047b7c7 Fix typo in example. Added links to PDF versions of the docs. Regenerated all the docs to fix people links.
[SVN r43346]
2015-01-13 19:42:08 +02:00
dcf16f30bc Added refactored docs for existing Boost.Math libraries.
[SVN r39851]
2015-01-13 19:42:08 +02:00
b70c89a3ff Remove BOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
Process #ifndef...#else...#endif blocks.

[SVN r86245]
2015-01-13 19:41:33 +02:00
9f43b6a7d6 Removed missed usage of deprecated macros in Boost.Math
[SVN r81586]
2015-01-13 19:41:32 +02:00
fecb6b5509 Fix numeric_limits specialization.
[SVN r79419]
2015-01-13 19:41:32 +02:00
eea434b0f1 eliminated test_case_template.hpp
[SVN r74735]
2015-01-13 19:41:31 +02:00
72b569f84f MSVC warning suppression.
[SVN r69509]
2015-01-13 19:41:31 +02:00
ce4bd6cc98 Fix signed/unsigned comparison warnings when char is unsigned.
[SVN r63496]
2015-01-13 19:41:31 +02:00
d38557f5f3 Make the compile time gcd facilities work with greatest integer types, and be mpl compatible.
[SVN r63408]
2015-01-13 19:41:30 +02:00
5174291e08 Fix failures when used with an expression-template enabled number type such as the gmpxx clases. Add additional concept check for integer code using gmp classes. Fixes #4139.
[SVN r61837]
2015-01-13 19:41:29 +02:00
7c528c325e Tweaked files to pass inspection report; one file had some min/max violations; but all had to have 'boostinspect:nolicense' set because a copyrighter, Paul Moore, has disappeared, so his files can never be changed to the main Boost license
[SVN r47847]
2015-01-13 19:41:29 +02:00
bdafb07012 Replace a couple of non-ascii symbols.
[SVN r46943]
2015-01-13 19:41:28 +02:00
fe60fee95b Fix more inspect report issues, and regenerated the docs.
[SVN r46839]
2015-01-13 19:41:28 +02:00
e20431e713 Changed long long to boost::long_long_type and unsigned long long to boost::ulong_long_type. A couple of other typo corrections, to get the code compiling with g++ -pedantic.
[SVN r44877]
2015-01-13 19:41:27 +02:00
217fa37de2 Fix min/max usage violation.
[SVN r43145]
2015-01-13 19:41:27 +02:00
307fee457a Fix Borland infinite looping issue.
[SVN r39723]
2015-01-13 19:41:27 +02:00
a9d91361fa Undo previous fix, it causes regressions.
[SVN r37022]
2015-01-13 19:41:26 +02:00
f1076ff42c STLport workaround.
[SVN r37001]
2015-01-13 19:41:26 +02:00
18a37cbab2 various fixes for old compilers
[SVN r36259]
2015-01-13 19:41:25 +02:00
80b59192ae Made the GCD specializations for '(unsigned) long long' and '(unsigned) __int64' mutually exclusive, following the lead of <boost/cstdint.hpp>.
[SVN r35999]
2015-01-13 19:41:25 +02:00
1f5f827a5e Changed GCD for built-in integer types to use the binary-GCD algorithm
[SVN r35850]
2015-01-13 19:41:25 +02:00
56b287a590 Added custom integer types, signed and unsigned, with and without std::numeric_limits<> specializations, to test
[SVN r35830]
2015-01-13 19:41:24 +02:00
c8faa83d47 Changed test to use Boost.Test's unit test system
[SVN r35815]
2015-01-13 19:41:24 +02:00
c041451a54 Added missing 'typename'
[SVN r27219]
2015-01-13 19:41:23 +02:00
6e6179b932 Replaced BOOST_TEST
[SVN r27050]
2015-01-13 19:41:23 +02:00
791b547d25 Changed files to BSL based on permissions in blanket-permission.txt
[SVN r25451]
2015-01-13 19:41:22 +02:00
cd696b2f6a License update
[SVN r24180]
2015-01-13 19:41:22 +02:00
fadad77a39 Merged fix from release branch to main trunk.
[SVN r15607]
2015-01-13 19:41:22 +02:00
9880cf69dc Adjusted for moving the Compile-Time and Run-Time GCD and LCM components to new, separate headers
[SVN r14273]
2015-01-13 19:41:21 +02:00
56bd3fd0b3 Moved the Compile-Time and Run-Time components to separate headers
[SVN r14272]
2015-01-13 19:41:21 +02:00
bb16ad8ea0 Added tests for unsigned int types
[SVN r13685]
2015-01-13 19:41:20 +02:00
82ad7a9edb Added fixes for the case that BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS is defined.
[SVN r13684]
2015-01-13 19:41:20 +02:00
6a8080014a Integrated MSVC fixes from Daryle
[SVN r12012]
2015-01-13 19:41:19 +02:00
f6738d210c fix errors (from Daryle Walker)
[SVN r11935]
2015-01-13 19:41:19 +02:00
5f810b2754 Daryle Walker's GCD library submission
[SVN r11814]
2015-01-13 19:41:18 +02:00
163c26a2d4 Merge branch 'develop' 2015-01-13 18:44:48 +02:00
7c2b4a799d Merge pull request #5 from danieljames/metadata
Create metadata file.
2014-08-18 09:07:49 -07:00
dcfac1423f Add metadata file. 2014-08-18 14:59:48 +01:00
28 changed files with 2720 additions and 47 deletions

348
.travis.yml Normal file
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# Copyright 2016, 2017 Peter Dimov
# Distributed under the Boost Software License, Version 1.0.
# (See accompanying file LICENSE_1_0.txt or copy at http://boost.org/LICENSE_1_0.txt)
language: cpp
sudo: false
python: "2.7"
os:
- linux
- osx
branches:
only:
- master
- develop
env:
matrix:
- BOGUS_JOB=true
matrix:
exclude:
- env: BOGUS_JOB=true
include:
- os: linux
env: TOOLSET=gcc COMPILER=g++ CXXSTD=c++03
- os: linux
env: TOOLSET=gcc COMPILER=g++-4.7 CXXSTD=c++03
addons:
apt:
packages:
- g++-4.7
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-4.7 CXXSTD=c++11
addons:
apt:
packages:
- g++-4.7
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-4.8 CXXSTD=c++03
addons:
apt:
packages:
- g++-4.8
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-4.8 CXXSTD=c++11
addons:
apt:
packages:
- g++-4.8
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-4.9 CXXSTD=c++03
addons:
apt:
packages:
- g++-4.9
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-4.9 CXXSTD=c++11
addons:
apt:
packages:
- g++-4.9
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++03
addons:
apt:
packages:
- g++-5
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++11
addons:
apt:
packages:
- g++-5
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14
addons:
apt:
packages:
- g++-5
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03
addons:
apt:
packages:
- g++-6
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11
addons:
apt:
packages:
- g++-6
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14
addons:
apt:
packages:
- g++-6
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z
addons:
apt:
packages:
- g++-6
sources:
- ubuntu-toolchain-r-test
- os: linux
env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++03
- os: linux
env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++11
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.5 CXXSTD=c++03
addons:
apt:
packages:
- clang-3.5
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.5
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.5 CXXSTD=c++11
addons:
apt:
packages:
- clang-3.5
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.5
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.6 CXXSTD=c++03
addons:
apt:
packages:
- clang-3.6
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.6
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.6 CXXSTD=c++11
addons:
apt:
packages:
- clang-3.6
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.6
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.7 CXXSTD=c++03
addons:
apt:
packages:
- clang-3.7
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.7
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.7 CXXSTD=c++11
addons:
apt:
packages:
- clang-3.7
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.7
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.8 CXXSTD=c++03
addons:
apt:
packages:
- clang-3.8
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.8
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.8 CXXSTD=c++11
addons:
apt:
packages:
- clang-3.8
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.8
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.8 CXXSTD=c++14
addons:
apt:
packages:
- clang-3.8
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.8
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.8 CXXSTD=c++1z
addons:
apt:
packages:
- clang-3.8
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.8
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.9 CXXSTD=c++03
addons:
apt:
packages:
- clang-3.9
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.9
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.9 CXXSTD=c++11
addons:
apt:
packages:
- clang-3.9
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.9
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.9 CXXSTD=c++14
addons:
apt:
packages:
- clang-3.9
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.9
- os: linux
env: TOOLSET=clang COMPILER=clang++-3.9 CXXSTD=c++1z
addons:
apt:
packages:
- clang-3.9
sources:
- ubuntu-toolchain-r-test
- llvm-toolchain-precise-3.9
- os: osx
env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++03
- os: osx
env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++11
- os: osx
env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14
- os: osx
env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++1z
install:
- cd ..
- git clone -b $TRAVIS_BRANCH --depth 1 https://github.com/boostorg/boost.git boost-root
- cd boost-root
- git submodule update --init tools/build
- git submodule update --init libs/config
- git submodule update --init libs/core
- git submodule update --init libs/detail
- git submodule update --init libs/assert
- git submodule update --init libs/static_assert
- git submodule update --init libs/type_traits
- git submodule update --init libs/mpl
- git submodule update --init libs/preprocessor
- git submodule update --init libs/multiprecision
- git submodule update --init libs/math
- git submodule update --init libs/rational
- git submodule update --init libs/throw_exception
- git submodule update --init libs/predef
- git submodule update --init libs/lexical_cast
- git submodule update --init libs/range
- git submodule update --init libs/iterator
- git submodule update --init libs/concept_check
- git submodule update --init libs/numeric
- git submodule update --init libs/array
- git submodule update --init libs/container
- git submodule update --init libs/move
- git submodule update --init libs/functional
- git submodule update --init libs/random
- git submodule update --init libs/utility
- cp -r $TRAVIS_BUILD_DIR/* libs/integer
- ./bootstrap.sh
- ./b2 headers
script:
- |-
echo "using $TOOLSET : : $COMPILER : <cxxflags>-std=$CXXSTD ;" > ~/user-config.jam
- ./b2 libs/integer/test toolset=$TOOLSET
notifications:
email:
on_success: always

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# Copyright 2016 Peter Dimov
# Distributed under the Boost Software License, Version 1.0.
# (See accompanying file LICENSE_1_0.txt or copy at http://boost.org/LICENSE_1_0.txt)
version: 1.0.{build}-{branch}
shallow_clone: true
branches:
only:
- master
- develop
platform:
- x64
environment:
matrix:
- ARGS: --toolset=msvc-9.0 address-model=32
- ARGS: --toolset=msvc-10.0 address-model=32
- ARGS: --toolset=msvc-11.0 address-model=32
- ARGS: --toolset=msvc-12.0 address-model=32
- ARGS: --toolset=msvc-14.0 address-model=32
- ARGS: --toolset=msvc-12.0 address-model=64
- ARGS: --toolset=msvc-14.0 address-model=64
- ARGS: --toolset=msvc-14.0 address-model=64 cxxflags=-std:c++latest
- APPVEYOR_BUILD_WORKER_IMAGE: Visual Studio 2017
ARGS: --toolset=msvc-14.1 address-model=64
- APPVEYOR_BUILD_WORKER_IMAGE: Visual Studio 2017
ARGS: --toolset=msvc-14.1 address-model=32
- APPVEYOR_BUILD_WORKER_IMAGE: Visual Studio 2017
ARGS: --toolset=msvc-14.1 address-model=64 cxxflags=-std:c++latest
- ARGS: --toolset=gcc address-model=64
PATH: C:\mingw-w64\x86_64-6.3.0-posix-seh-rt_v5-rev1\mingw64\bin;%PATH%
- ARGS: --toolset=gcc address-model=64 cxxflags=-std=gnu++1z
PATH: C:\mingw-w64\x86_64-6.3.0-posix-seh-rt_v5-rev1\mingw64\bin;%PATH%
- ARGS: --toolset=gcc address-model=32
PATH: C:\mingw-w64\i686-5.3.0-posix-dwarf-rt_v4-rev0\mingw32\bin;%PATH%
- ARGS: --toolset=gcc address-model=32 linkflags=-Wl,-allow-multiple-definition
PATH: C:\MinGW\bin;%PATH%
install:
- cd ..
- git clone -b %APPVEYOR_REPO_BRANCH% --depth 1 https://github.com/boostorg/boost.git boost-root
- cd boost-root
- git submodule update --init tools/build
- git submodule update --init libs/config
- git submodule update --init libs/core
- git submodule update --init libs/detail
- git submodule update --init libs/assert
- git submodule update --init libs/static_assert
- git submodule update --init libs/type_traits
- git submodule update --init libs/mpl
- git submodule update --init libs/preprocessor
- git submodule update --init libs/multiprecision
- git submodule update --init libs/math
- git submodule update --init libs/rational
- git submodule update --init libs/throw_exception
- git submodule update --init libs/predef
- git submodule update --init libs/lexical_cast
- git submodule update --init libs/range
- git submodule update --init libs/iterator
- git submodule update --init libs/concept_check
- git submodule update --init libs/numeric
- git submodule update --init libs/array
- git submodule update --init libs/container
- git submodule update --init libs/move
- git submodule update --init libs/functional
- git submodule update --init libs/random
- git submodule update --init libs/utility
- xcopy /s /e /q %APPVEYOR_BUILD_FOLDER% libs\integer
- bootstrap
- b2 headers
build: off
test_script:
- cd libs\config\test
- ..\..\..\b2 config_info_travis_install %ARGS%
- config_info_travis
- cd ..\..\integer\test
- ..\..\..\b2 -j3 %ARGS% define=CI_SUPPRESS_KNOWN_ISSUES

View File

@ -53,4 +53,8 @@ boostbook standalone
install pdfinstall : standalone/<format>pdf : <location>. <install-type>PDF ;
explicit pdfinstall ;
###############################################################################
alias boostdoc ;
explicit boostdoc ;
alias boostrelease : standalone ;
explicit boostrelease ;

292
doc/gcd/math-gcd.qbk Normal file
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@ -0,0 +1,292 @@
[section:gcd_lcm Greatest Common Divisor and Least Common Multiple]
[section Introduction]
The class and function templates in <boost/math/common_factor.hpp>
provide run-time and compile-time evaluation of the greatest common divisor
(GCD) or least common multiple (LCM) of two integers.
These facilities are useful for many numeric-oriented generic
programming problems.
[endsect]
[section Synopsis]
namespace boost
{
namespace math
{
template < typename IntegerType >
class gcd_evaluator;
template < typename IntegerType >
class lcm_evaluator;
template < typename IntegerType >
constexpr IntegerType gcd( IntegerType const &a, IntegerType const &b );
template < typename IntegerType >
constexpr IntegerType lcm( IntegerType const &a, IntegerType const &b );
template < typename IntegerType, typename... Args >
constexpr IntegerType gcd( IntegerType const &a, IntegerType const &b, Args const&... );
template < typename IntegerType, typename... Args >
constexpr IntegerType lcm( IntegerType const &a, IntegerType const &b, Args const&... );
template <typename I>
std::pair<typename std::iterator_traits<I>::value_type, I>
gcd_range(I first, I last);
template <typename I>
std::pair<typename std::iterator_traits<I>::value_type, I>
lcm_range(I first, I last);
typedef ``['see-below]`` static_gcd_type;
template < static_gcd_type Value1, static_gcd_type Value2 >
struct static_gcd;
template < static_gcd_type Value1, static_gcd_type Value2 >
struct static_lcm;
}
}
[endsect]
[section GCD Function Object]
[*Header: ] [@../../../../boost/math/common_factor_rt.hpp <boost/math/common_factor_rt.hpp>]
template < typename IntegerType >
class boost::math::gcd_evaluator
{
public:
// Types
typedef IntegerType result_type;
typedef IntegerType first_argument_type;
typedef IntegerType second_argument_type;
// Function object interface
constexpr result_type operator ()(
first_argument_type const &a,
second_argument_type const &b ) const;
};
The boost::math::gcd_evaluator class template defines a function object
class to return the greatest common divisor of two integers.
The template is parameterized by a single type, called IntegerType here.
This type should be a numeric type that represents integers.
The result of the function object is always nonnegative, even if either of
the operator arguments is negative.
This function object class template is used in the corresponding version of
the GCD function template. If a numeric type wants to customize evaluations
of its greatest common divisors, then the type should specialize on the
gcd_evaluator class template.
Note that these function objects are `constexpr` in C++14 and later only.
They are also declared `noexcept` when appropriate.
[endsect]
[section LCM Function Object]
[*Header: ] [@../../../../boost/math/common_factor_rt.hpp <boost/math/common_factor_rt.hpp>]
template < typename IntegerType >
class boost::math::lcm_evaluator
{
public:
// Types
typedef IntegerType result_type;
typedef IntegerType first_argument_type;
typedef IntegerType second_argument_type;
// Function object interface
constexpr result_type operator ()(
first_argument_type const &a,
second_argument_type const &b ) const;
};
The boost::math::lcm_evaluator class template defines a function object
class to return the least common multiple of two integers. The template
is parameterized by a single type, called IntegerType here. This type
should be a numeric type that represents integers. The result of the
function object is always nonnegative, even if either of the operator
arguments is negative. If the least common multiple is beyond the range
of the integer type, the results are undefined.
This function object class template is used in the corresponding version
of the LCM function template. If a numeric type wants to customize
evaluations of its least common multiples, then the type should
specialize on the lcm_evaluator class template.
Note that these function objects are constexpr in C++14 and later only.
They are also declared `noexcept` when appropriate.
[endsect]
[section:run_time Run-time GCD & LCM Determination]
[*Header: ] [@../../../../boost/math/common_factor_rt.hpp <boost/math/common_factor_rt.hpp>]
template < typename IntegerType >
constexpr IntegerType boost::math::gcd( IntegerType const &a, IntegerType const &b );
template < typename IntegerType >
constexpr IntegerType boost::math::lcm( IntegerType const &a, IntegerType const &b );
template < typename IntegerType, typename... Args >
constexpr IntegerType gcd( IntegerType const &a, IntegerType const &b, Args const&... );
template < typename IntegerType, typename... Args >
constexpr IntegerType lcm( IntegerType const &a, IntegerType const &b, Args const&... );
template <typename I>
std::pair<typename std::iterator_traits<I>::value_type, I>
gcd_range(I first, I last);
template <typename I>
std::pair<typename std::iterator_traits<I>::value_type, I>
lcm_range(I first, I last);
The boost::math::gcd function template returns the greatest common
(nonnegative) divisor of the two integers passed to it.
`boost::math::gcd_range` is the iteration of the above gcd algorithm over a
range, returning the greatest common divisor of all the elements. The algorithm
terminates when the gcd reaches unity or the end of the range. Thus it also
returns the iterator after the last element inspected because this may not be
equal to the end of the range. The variadic version of `gcd` behaves similarly
but does not indicate which input value caused the gcd to reach unity.
The boost::math::lcm function template returns the least common
(nonnegative) multiple of the two integers passed to it.
As with gcd, there are range and variadic versions of the function for
more than 2 arguments.
Note that these functions are constexpr in C++14 and later only.
They are also declared `noexcept` when appropriate.
[endsect]
[section:compile_time Compile time GCD and LCM determination]
[note These functions are deprecated in favor of constexpr `gcd` and `lcm` on C++14 capable compilers.]
[*Header: ] [@../../../../boost/math/common_factor_ct.hpp <boost/math/common_factor_ct.hpp>]
typedef ``['unspecified]`` static_gcd_type;
template < static_gcd_type Value1, static_gcd_type Value2 >
struct boost::math::static_gcd : public mpl::integral_c<static_gcd_type, implementation_defined>
{
};
template < static_gcd_type Value1, static_gcd_type Value2 >
struct boost::math::static_lcm : public mpl::integral_c<static_gcd_type, implementation_defined>
{
};
The type `static_gcd_type` is the widest unsigned-integer-type that is supported
for use in integral-constant-expressions by the compiler. Usually this
the same type as `boost::uintmax_t`, but may fall back to being `unsigned long`
for some older compilers.
The boost::math::static_gcd and boost::math::static_lcm class templates
take two value-based template parameters of the ['static_gcd_type] type
and inherit from the type `boost::mpl::integral_c`.
Inherited from the base class, they have a member /value/
that is the greatest common factor or least
common multiple, respectively, of the template arguments.
A compile-time error will occur if the least common multiple
is beyond the range of `static_gcd_type`.
[h3 Example]
#include <boost/math/common_factor.hpp>
#include <algorithm>
#include <iterator>
#include <iostream>
int main()
{
using std::cout;
using std::endl;
cout << "The GCD and LCM of 6 and 15 are "
<< boost::math::gcd(6, 15) << " and "
<< boost::math::lcm(6, 15) << ", respectively."
<< endl;
cout << "The GCD and LCM of 8 and 9 are "
<< boost::math::static_gcd<8, 9>::value
<< " and "
<< boost::math::static_lcm<8, 9>::value
<< ", respectively." << endl;
int a[] = { 4, 5, 6 }, b[] = { 7, 8, 9 }, c[3];
std::transform( a, a + 3, b, c, boost::math::gcd_evaluator<int>() );
std::copy( c, c + 3, std::ostream_iterator<int>(cout, " ") );
}
[endsect]
[section:gcd_header Header <boost/math/common_factor.hpp>]
This header simply includes the headers
[@../../../../boost/math/common_factor_ct.hpp <boost/math/common_factor_ct.hpp>]
and [@../../../../boost/math/common_factor_rt.hpp <boost/math/common_factor_rt.hpp>].
Note this is a legacy header: it used to contain the actual implementation,
but the compile-time and run-time facilities
were moved to separate headers (since they were independent of each other).
[endsect]
[section:demo Demonstration Program]
The program [@../../../../libs/math/test/common_factor_test.cpp common_factor_test.cpp] is a demonstration of the results from
instantiating various examples of the run-time GCD and LCM function
templates and the compile-time GCD and LCM class templates.
(The run-time GCD and LCM class templates are tested indirectly through
the run-time function templates.)
[endsect]
[section Rationale]
The greatest common divisor and least common multiple functions are
greatly used in some numeric contexts, including some of the other
Boost libraries. Centralizing these functions to one header improves
code factoring and eases maintainence.
[endsect]
[section:gcd_history History]
* 24th April 2017 Moved to Jeremy Murphy's improved algorithms, added constexpr and noexcept support,
added compiler intrinsic support, added variadic and range based versions of the algorithms.
* 13 May 2013 Moved into main Boost.Math Quickbook documentation.
* 17 Dec 2005: Converted documentation to Quickbook Format.
* 2 Jul 2002: Compile-time and run-time items separated to new headers.
* 7 Nov 2001: Initial version
[endsect]
[section:gcd_credits Credits]
The author of the Boost compilation of GCD and LCM computations is
Daryle Walker. The code was prompted by existing code hiding in the
implementations of Paul Moore's rational library and Steve Cleary's
pool library. The code had updates by Helmut Zeisel.
[endsect]
[endsect]
[/
Copyright 2005, 2013 Daryle Walker.
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt).
]

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<a name="boost_integer.gcd_lcm"></a><a class="link" href="gcd_lcm.html" title="Greatest Common Divisor and Least Common Multiple">Greatest Common Divisor and Least
Common Multiple</a>
</h2></div></div></div>
<div class="toc"><dl>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.introduction">Introduction</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.synopsis">Synopsis</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.gcd_function_object">GCD Function
Object</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.lcm_function_object">LCM Function
Object</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.run_time">Run-time GCD &amp; LCM
Determination</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.compile_time">Compile time GCD
and LCM determination</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.gcd_header">Header &lt;boost/math/common_factor.hpp&gt;</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.demo">Demonstration Program</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.rationale">Rationale</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.gcd_history">History</a></span></dt>
<dt><span class="section"><a href="gcd_lcm.html#boost_integer.gcd_lcm.gcd_credits">Credits</a></span></dt>
</dl></div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.introduction"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.introduction" title="Introduction">Introduction</a>
</h3></div></div></div>
<p>
The class and function templates in &lt;boost/math/common_factor.hpp&gt;
provide run-time and compile-time evaluation of the greatest common divisor
(GCD) or least common multiple (LCM) of two integers. These facilities are
useful for many numeric-oriented generic programming problems.
</p>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.synopsis"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.synopsis" title="Synopsis">Synopsis</a>
</h3></div></div></div>
<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span>
<span class="special">{</span>
<span class="keyword">namespace</span> <span class="identifier">math</span>
<span class="special">{</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span> <span class="special">&gt;</span>
<span class="keyword">class</span> <span class="identifier">gcd_evaluator</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span> <span class="special">&gt;</span>
<span class="keyword">class</span> <span class="identifier">lcm_evaluator</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span> <span class="special">&gt;</span>
<span class="keyword">constexpr</span> <span class="identifier">IntegerType</span> <span class="identifier">gcd</span><span class="special">(</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span> <span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span> <span class="special">&gt;</span>
<span class="keyword">constexpr</span> <span class="identifier">IntegerType</span> <span class="identifier">lcm</span><span class="special">(</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span> <span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span><span class="special">,</span> <span class="keyword">typename</span><span class="special">...</span> <span class="identifier">Args</span> <span class="special">&gt;</span>
<span class="keyword">constexpr</span> <span class="identifier">IntegerType</span> <span class="identifier">gcd</span><span class="special">(</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">Args</span> <span class="keyword">const</span><span class="special">&amp;...</span> <span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span><span class="special">,</span> <span class="keyword">typename</span><span class="special">...</span> <span class="identifier">Args</span> <span class="special">&gt;</span>
<span class="keyword">constexpr</span> <span class="identifier">IntegerType</span> <span class="identifier">lcm</span><span class="special">(</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">Args</span> <span class="keyword">const</span><span class="special">&amp;...</span> <span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">I</span><span class="special">&gt;</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">iterator_traits</span><span class="special">&lt;</span><span class="identifier">I</span><span class="special">&gt;::</span><span class="identifier">value_type</span><span class="special">,</span> <span class="identifier">I</span><span class="special">&gt;</span>
<span class="identifier">gcd_range</span><span class="special">(</span><span class="identifier">I</span> <span class="identifier">first</span><span class="special">,</span> <span class="identifier">I</span> <span class="identifier">last</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">I</span><span class="special">&gt;</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">iterator_traits</span><span class="special">&lt;</span><span class="identifier">I</span><span class="special">&gt;::</span><span class="identifier">value_type</span><span class="special">,</span> <span class="identifier">I</span><span class="special">&gt;</span>
<span class="identifier">lcm_range</span><span class="special">(</span><span class="identifier">I</span> <span class="identifier">first</span><span class="special">,</span> <span class="identifier">I</span> <span class="identifier">last</span><span class="special">);</span>
<span class="keyword">typedef</span> <span class="emphasis"><em>see-below</em></span> <span class="identifier">static_gcd_type</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="identifier">static_gcd_type</span> <span class="identifier">Value1</span><span class="special">,</span> <span class="identifier">static_gcd_type</span> <span class="identifier">Value2</span> <span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">static_gcd</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="identifier">static_gcd_type</span> <span class="identifier">Value1</span><span class="special">,</span> <span class="identifier">static_gcd_type</span> <span class="identifier">Value2</span> <span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">static_lcm</span><span class="special">;</span>
<span class="special">}</span>
<span class="special">}</span>
</pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.gcd_function_object"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.gcd_function_object" title="GCD Function Object">GCD Function
Object</a>
</h3></div></div></div>
<p>
<span class="bold"><strong>Header: </strong></span> <a href="../../../../../boost/math/common_factor_rt.hpp" target="_top">&lt;boost/math/common_factor_rt.hpp&gt;</a>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span> <span class="special">&gt;</span>
<span class="keyword">class</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">gcd_evaluator</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
<span class="comment">// Types</span>
<span class="keyword">typedef</span> <span class="identifier">IntegerType</span> <span class="identifier">result_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">IntegerType</span> <span class="identifier">first_argument_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">IntegerType</span> <span class="identifier">second_argument_type</span><span class="special">;</span>
<span class="comment">// Function object interface</span>
<span class="keyword">constexpr</span> <span class="identifier">result_type</span> <span class="keyword">operator</span> <span class="special">()(</span>
<span class="identifier">first_argument_type</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span>
<span class="identifier">second_argument_type</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span> <span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
<span class="special">};</span>
</pre>
<p>
The boost::math::gcd_evaluator class template defines a function object class
to return the greatest common divisor of two integers. The template is parameterized
by a single type, called IntegerType here. This type should be a numeric
type that represents integers. The result of the function object is always
nonnegative, even if either of the operator arguments is negative.
</p>
<p>
This function object class template is used in the corresponding version
of the GCD function template. If a numeric type wants to customize evaluations
of its greatest common divisors, then the type should specialize on the gcd_evaluator
class template.
</p>
<p>
Note that these function objects are <code class="computeroutput"><span class="keyword">constexpr</span></code>
in C++14 and later only. They are also declared <code class="computeroutput"><span class="keyword">noexcept</span></code>
when appropriate.
</p>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.lcm_function_object"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.lcm_function_object" title="LCM Function Object">LCM Function
Object</a>
</h3></div></div></div>
<p>
<span class="bold"><strong>Header: </strong></span> <a href="../../../../../boost/math/common_factor_rt.hpp" target="_top">&lt;boost/math/common_factor_rt.hpp&gt;</a>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span> <span class="special">&gt;</span>
<span class="keyword">class</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">lcm_evaluator</span>
<span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
<span class="comment">// Types</span>
<span class="keyword">typedef</span> <span class="identifier">IntegerType</span> <span class="identifier">result_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">IntegerType</span> <span class="identifier">first_argument_type</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">IntegerType</span> <span class="identifier">second_argument_type</span><span class="special">;</span>
<span class="comment">// Function object interface</span>
<span class="keyword">constexpr</span> <span class="identifier">result_type</span> <span class="keyword">operator</span> <span class="special">()(</span>
<span class="identifier">first_argument_type</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span>
<span class="identifier">second_argument_type</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span> <span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
<span class="special">};</span>
</pre>
<p>
The boost::math::lcm_evaluator class template defines a function object class
to return the least common multiple of two integers. The template is parameterized
by a single type, called IntegerType here. This type should be a numeric
type that represents integers. The result of the function object is always
nonnegative, even if either of the operator arguments is negative. If the
least common multiple is beyond the range of the integer type, the results
are undefined.
</p>
<p>
This function object class template is used in the corresponding version
of the LCM function template. If a numeric type wants to customize evaluations
of its least common multiples, then the type should specialize on the lcm_evaluator
class template.
</p>
<p>
Note that these function objects are constexpr in C++14 and later only. They
are also declared <code class="computeroutput"><span class="keyword">noexcept</span></code> when
appropriate.
</p>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.run_time"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.run_time" title="Run-time GCD &amp; LCM Determination">Run-time GCD &amp; LCM
Determination</a>
</h3></div></div></div>
<p>
<span class="bold"><strong>Header: </strong></span> <a href="../../../../../boost/math/common_factor_rt.hpp" target="_top">&lt;boost/math/common_factor_rt.hpp&gt;</a>
</p>
<pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span> <span class="special">&gt;</span>
<span class="keyword">constexpr</span> <span class="identifier">IntegerType</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">gcd</span><span class="special">(</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span> <span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span> <span class="special">&gt;</span>
<span class="keyword">constexpr</span> <span class="identifier">IntegerType</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">lcm</span><span class="special">(</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span> <span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span><span class="special">,</span> <span class="keyword">typename</span><span class="special">...</span> <span class="identifier">Args</span> <span class="special">&gt;</span>
<span class="keyword">constexpr</span> <span class="identifier">IntegerType</span> <span class="identifier">gcd</span><span class="special">(</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">Args</span> <span class="keyword">const</span><span class="special">&amp;...</span> <span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="keyword">typename</span> <span class="identifier">IntegerType</span><span class="special">,</span> <span class="keyword">typename</span><span class="special">...</span> <span class="identifier">Args</span> <span class="special">&gt;</span>
<span class="keyword">constexpr</span> <span class="identifier">IntegerType</span> <span class="identifier">lcm</span><span class="special">(</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">a</span><span class="special">,</span> <span class="identifier">IntegerType</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="identifier">b</span><span class="special">,</span> <span class="identifier">Args</span> <span class="keyword">const</span><span class="special">&amp;...</span> <span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">I</span><span class="special">&gt;</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">iterator_traits</span><span class="special">&lt;</span><span class="identifier">I</span><span class="special">&gt;::</span><span class="identifier">value_type</span><span class="special">,</span> <span class="identifier">I</span><span class="special">&gt;</span>
<span class="identifier">gcd_range</span><span class="special">(</span><span class="identifier">I</span> <span class="identifier">first</span><span class="special">,</span> <span class="identifier">I</span> <span class="identifier">last</span><span class="special">);</span>
<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">I</span><span class="special">&gt;</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">iterator_traits</span><span class="special">&lt;</span><span class="identifier">I</span><span class="special">&gt;::</span><span class="identifier">value_type</span><span class="special">,</span> <span class="identifier">I</span><span class="special">&gt;</span>
<span class="identifier">lcm_range</span><span class="special">(</span><span class="identifier">I</span> <span class="identifier">first</span><span class="special">,</span> <span class="identifier">I</span> <span class="identifier">last</span><span class="special">);</span>
</pre>
<p>
The boost::math::gcd function template returns the greatest common (nonnegative)
divisor of the two integers passed to it. <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">gcd_range</span></code>
is the iteration of the above gcd algorithm over a range, returning the greatest
common divisor of all the elements. The algorithm terminates when the gcd
reaches unity or the end of the range. Thus it also returns the iterator
after the last element inspected because this may not be equal to the end
of the range. The variadic version of <code class="computeroutput"><span class="identifier">gcd</span></code>
behaves similarly but does not indicate which input value caused the gcd
to reach unity.
</p>
<p>
The boost::math::lcm function template returns the least common (nonnegative)
multiple of the two integers passed to it. As with gcd, there are range and
variadic versions of the function for more than 2 arguments.
</p>
<p>
Note that these functions are constexpr in C++14 and later only. They are
also declared <code class="computeroutput"><span class="keyword">noexcept</span></code> when
appropriate.
</p>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.compile_time"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.compile_time" title="Compile time GCD and LCM determination">Compile time GCD
and LCM determination</a>
</h3></div></div></div>
<div class="note"><table border="0" summary="Note">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../doc/src/images/note.png"></td>
<th align="left">Note</th>
</tr>
<tr><td align="left" valign="top"><p>
These functions are deprecated in favor of constexpr <code class="computeroutput"><span class="identifier">gcd</span></code>
and <code class="computeroutput"><span class="identifier">lcm</span></code> on C++14 capable
compilers.
</p></td></tr>
</table></div>
<p>
<span class="bold"><strong>Header: </strong></span> <a href="../../../../../boost/math/common_factor_ct.hpp" target="_top">&lt;boost/math/common_factor_ct.hpp&gt;</a>
</p>
<pre class="programlisting"><span class="keyword">typedef</span> <span class="emphasis"><em>unspecified</em></span> <span class="identifier">static_gcd_type</span><span class="special">;</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="identifier">static_gcd_type</span> <span class="identifier">Value1</span><span class="special">,</span> <span class="identifier">static_gcd_type</span> <span class="identifier">Value2</span> <span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">static_gcd</span> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">integral_c</span><span class="special">&lt;</span><span class="identifier">static_gcd_type</span><span class="special">,</span> <span class="identifier">implementation_defined</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="special">};</span>
<span class="keyword">template</span> <span class="special">&lt;</span> <span class="identifier">static_gcd_type</span> <span class="identifier">Value1</span><span class="special">,</span> <span class="identifier">static_gcd_type</span> <span class="identifier">Value2</span> <span class="special">&gt;</span>
<span class="keyword">struct</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">static_lcm</span> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">integral_c</span><span class="special">&lt;</span><span class="identifier">static_gcd_type</span><span class="special">,</span> <span class="identifier">implementation_defined</span><span class="special">&gt;</span>
<span class="special">{</span>
<span class="special">};</span>
</pre>
<p>
The type <code class="computeroutput"><span class="identifier">static_gcd_type</span></code>
is the widest unsigned-integer-type that is supported for use in integral-constant-expressions
by the compiler. Usually this the same type as <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">uintmax_t</span></code>,
but may fall back to being <code class="computeroutput"><span class="keyword">unsigned</span>
<span class="keyword">long</span></code> for some older compilers.
</p>
<p>
The boost::math::static_gcd and boost::math::static_lcm class templates take
two value-based template parameters of the <span class="emphasis"><em>static_gcd_type</em></span>
type and inherit from the type <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">integral_c</span></code>. Inherited from the base class,
they have a member <span class="emphasis"><em>value</em></span> that is the greatest common
factor or least common multiple, respectively, of the template arguments.
A compile-time error will occur if the least common multiple is beyond the
range of <code class="computeroutput"><span class="identifier">static_gcd_type</span></code>.
</p>
<h4>
<a name="boost_integer.gcd_lcm.compile_time.h0"></a>
<span class="phrase"><a name="boost_integer.gcd_lcm.compile_time.example"></a></span><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.compile_time.example">Example</a>
</h4>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">common_factor</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">algorithm</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iterator</span><span class="special">&gt;</span>
<span class="preprocessor">#include</span> <span class="special">&lt;</span><span class="identifier">iostream</span><span class="special">&gt;</span>
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
<span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span><span class="special">;</span>
<span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"The GCD and LCM of 6 and 15 are "</span>
<span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">gcd</span><span class="special">(</span><span class="number">6</span><span class="special">,</span> <span class="number">15</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="string">" and "</span>
<span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">lcm</span><span class="special">(</span><span class="number">6</span><span class="special">,</span> <span class="number">15</span><span class="special">)</span> <span class="special">&lt;&lt;</span> <span class="string">", respectively."</span>
<span class="special">&lt;&lt;</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special">&lt;&lt;</span> <span class="string">"The GCD and LCM of 8 and 9 are "</span>
<span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">static_gcd</span><span class="special">&lt;</span><span class="number">8</span><span class="special">,</span> <span class="number">9</span><span class="special">&gt;::</span><span class="identifier">value</span>
<span class="special">&lt;&lt;</span> <span class="string">" and "</span>
<span class="special">&lt;&lt;</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">static_lcm</span><span class="special">&lt;</span><span class="number">8</span><span class="special">,</span> <span class="number">9</span><span class="special">&gt;::</span><span class="identifier">value</span>
<span class="special">&lt;&lt;</span> <span class="string">", respectively."</span> <span class="special">&lt;&lt;</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="keyword">int</span> <span class="identifier">a</span><span class="special">[]</span> <span class="special">=</span> <span class="special">{</span> <span class="number">4</span><span class="special">,</span> <span class="number">5</span><span class="special">,</span> <span class="number">6</span> <span class="special">},</span> <span class="identifier">b</span><span class="special">[]</span> <span class="special">=</span> <span class="special">{</span> <span class="number">7</span><span class="special">,</span> <span class="number">8</span><span class="special">,</span> <span class="number">9</span> <span class="special">},</span> <span class="identifier">c</span><span class="special">[</span><span class="number">3</span><span class="special">];</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">transform</span><span class="special">(</span> <span class="identifier">a</span><span class="special">,</span> <span class="identifier">a</span> <span class="special">+</span> <span class="number">3</span><span class="special">,</span> <span class="identifier">b</span><span class="special">,</span> <span class="identifier">c</span><span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">gcd_evaluator</span><span class="special">&lt;</span><span class="keyword">int</span><span class="special">&gt;()</span> <span class="special">);</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">copy</span><span class="special">(</span> <span class="identifier">c</span><span class="special">,</span> <span class="identifier">c</span> <span class="special">+</span> <span class="number">3</span><span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream_iterator</span><span class="special">&lt;</span><span class="keyword">int</span><span class="special">&gt;(</span><span class="identifier">cout</span><span class="special">,</span> <span class="string">" "</span><span class="special">)</span> <span class="special">);</span>
<span class="special">}</span>
</pre>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.gcd_header"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.gcd_header" title="Header &lt;boost/math/common_factor.hpp&gt;">Header &lt;boost/math/common_factor.hpp&gt;</a>
</h3></div></div></div>
<p>
This header simply includes the headers <a href="../../../../../boost/math/common_factor_ct.hpp" target="_top">&lt;boost/math/common_factor_ct.hpp&gt;</a>
and <a href="../../../../../boost/math/common_factor_rt.hpp" target="_top">&lt;boost/math/common_factor_rt.hpp&gt;</a>.
</p>
<p>
Note this is a legacy header: it used to contain the actual implementation,
but the compile-time and run-time facilities were moved to separate headers
(since they were independent of each other).
</p>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.demo"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.demo" title="Demonstration Program">Demonstration Program</a>
</h3></div></div></div>
<p>
The program <a href="../../../../../libs/math/test/common_factor_test.cpp" target="_top">common_factor_test.cpp</a>
is a demonstration of the results from instantiating various examples of
the run-time GCD and LCM function templates and the compile-time GCD and
LCM class templates. (The run-time GCD and LCM class templates are tested
indirectly through the run-time function templates.)
</p>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.rationale"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.rationale" title="Rationale">Rationale</a>
</h3></div></div></div>
<p>
The greatest common divisor and least common multiple functions are greatly
used in some numeric contexts, including some of the other Boost libraries.
Centralizing these functions to one header improves code factoring and eases
maintainence.
</p>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.gcd_history"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.gcd_history" title="History">History</a>
</h3></div></div></div>
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
<li class="listitem">
24th April 2017 Moved to Jeremy Murphy's improved algorithms, added constexpr
and noexcept support, added compiler intrinsic support, added variadic
and range based versions of the algorithms.
</li>
<li class="listitem">
13 May 2013 Moved into main Boost.Math Quickbook documentation.
</li>
<li class="listitem">
17 Dec 2005: Converted documentation to Quickbook Format.
</li>
<li class="listitem">
2 Jul 2002: Compile-time and run-time items separated to new headers.
</li>
<li class="listitem">
7 Nov 2001: Initial version
</li>
</ul></div>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_integer.gcd_lcm.gcd_credits"></a><a class="link" href="gcd_lcm.html#boost_integer.gcd_lcm.gcd_credits" title="Credits">Credits</a>
</h3></div></div></div>
<p>
The author of the Boost compilation of GCD and LCM computations is Daryle
Walker. The code was prompted by existing code hiding in the implementations
of Paul Moore's rational library and Steve Cleary's pool library. The code
had updates by Helmut Zeisel.
</p>
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2001-2009 Beman
Dawes, Daryle Walker, Gennaro Prota, John Maddock<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
</div></td>
</tr></table>
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<dl>
<dt><span class="section"><a href="index.html#boost_integer.overview">Overview</a></span></dt>
<dt><span class="section"><a href="boost_integer/traits.html">Integer Traits</a></span></dt>
<dt><span class="section"><a href="boost_integer/integer.html">Integer Type Selection</a></span></dt>
<dt><span class="section"><a href="boost_integer/gcd_lcm.html">Greatest Common Divisor and Least
Common Multiple</a></span></dt>
<dt><span class="section"><a href="boost_integer/mask.html">Integer Masks</a></span></dt>
<dt><span class="section"><a href="boost_integer/log2.html">Compile Time log2 Calculation</a></span></dt>
<dt><span class="section"><a href="boost_integer/minmax.html">Compile time min/max calculation</a></span></dt>
@ -158,6 +160,27 @@
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</tr>
<tr>
<td>
<p>
<a class="link" href="boost_integer/gcd_lcm.html" title="Greatest Common Divisor and Least Common Multiple">Greatest Common Divisor and
Least Common Multiple</a>.
</p>
</td>
<td>
<p>
<code class="literal"><a href="../../../../boost/integer/common_factor_rt.hpp" target="_top">&lt;boost/integer/common_factor_rt.hpp&gt;</a></code>
and <code class="literal"><a href="../../../../boost/integer/common_factor_ct.hpp" target="_top">&lt;boost/integer/common_factor_ct.hpp&gt;</a></code>
</p>
</td>
<td>
<p>
Functions <code class="computeroutput"><span class="identifier">gcd</span></code> and
<code class="computeroutput"><span class="identifier">lcm</span></code> plus function
objects and compile time versions.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a class="link" href="boost_integer/mask.html" title="Integer Masks">Integer Masks</a>.
@ -219,7 +242,7 @@
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"><p><small>Last revised: June 01, 2014 at 19:57:36 GMT</small></p></td>
<td align="left"><p><small>Last revised: April 24, 2017 at 17:49:59 GMT</small></p></td>
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@ -42,6 +42,11 @@ compile-time value; and computing min and max of constant expressions.
Use to select the type of an integer when some property such as maximum value or number of bits is known.
Useful for generic programming. ]
]
[
[[link boost_integer.gcd_lcm Greatest Common Divisor and Least Common Multiple].]
[[^[@../../../../boost/integer/common_factor_rt.hpp <boost/integer/common_factor_rt.hpp>]] and [^[@../../../../boost/integer/common_factor_ct.hpp <boost/integer/common_factor_ct.hpp>]]]
[Functions `gcd` and `lcm` plus function objects and compile time versions.]
]
[
[[link boost_integer.mask Integer Masks].]
[[^[@../../../../boost/integer/integer_mask.hpp <boost/integer/integer_mask.hpp>]]]
@ -358,6 +363,7 @@ for sharing their designs for similar templates.
[endsect]
[endsect]
[include gcd/math-gcd.qbk]
[section:mask Integer Masks]

View File

@ -42,15 +42,15 @@ namespace boost
// fast integers from least integers
// int_fast_t<> works correctly for unsigned too, in spite of the name.
template< typename LeastInt >
struct int_fast_t
{
typedef LeastInt fast;
struct int_fast_t
{
typedef LeastInt fast;
typedef fast type;
}; // imps may specialize
namespace detail{
// convert category to type
// convert category to type
template< int Category > struct int_least_helper {}; // default is empty
template< int Category > struct uint_least_helper {}; // default is empty
@ -91,7 +91,8 @@ namespace boost
template <> struct exact_signed_base_helper<sizeof(int)* CHAR_BIT> { typedef int exact; };
template <> struct exact_unsigned_base_helper<sizeof(unsigned int)* CHAR_BIT> { typedef unsigned int exact; };
#endif
#if ULONG_MAX != UINT_MAX
#if ULONG_MAX != UINT_MAX && ( !defined __TI_COMPILER_VERSION__ || \
( __TI_COMPILER_VERSION__ >= 7000000 && !defined __TI_40BIT_LONG__ ) )
template <> struct exact_signed_base_helper<sizeof(long)* CHAR_BIT> { typedef long exact; };
template <> struct exact_unsigned_base_helper<sizeof(unsigned long)* CHAR_BIT> { typedef unsigned long exact; };
#endif
@ -111,11 +112,11 @@ namespace boost
// signed
template< int Bits > // bits (including sign) required
struct int_t : public detail::exact_signed_base_helper<Bits>
struct int_t : public boost::detail::exact_signed_base_helper<Bits>
{
BOOST_STATIC_ASSERT_MSG(Bits <= (int)(sizeof(boost::intmax_t) * CHAR_BIT),
"No suitable signed integer type with the requested number of bits is available.");
typedef typename detail::int_least_helper
typedef typename boost::detail::int_least_helper
<
#ifdef BOOST_HAS_LONG_LONG
(Bits <= (int)(sizeof(boost::long_long_type) * CHAR_BIT)) +
@ -132,13 +133,13 @@ namespace boost
// unsigned
template< int Bits > // bits required
struct uint_t : public detail::exact_unsigned_base_helper<Bits>
struct uint_t : public boost::detail::exact_unsigned_base_helper<Bits>
{
BOOST_STATIC_ASSERT_MSG(Bits <= (int)(sizeof(boost::uintmax_t) * CHAR_BIT),
"No suitable unsigned integer type with the requested number of bits is available.");
#if (defined(__BORLANDC__) || defined(__CODEGEAR__)) && defined(BOOST_NO_INTEGRAL_INT64_T)
// It's really not clear why this workaround should be needed... shrug I guess! JM
BOOST_STATIC_CONSTANT(int, s =
BOOST_STATIC_CONSTANT(int, s =
6 +
(Bits <= ::std::numeric_limits<unsigned long>::digits) +
(Bits <= ::std::numeric_limits<unsigned int>::digits) +
@ -146,8 +147,8 @@ namespace boost
(Bits <= ::std::numeric_limits<unsigned char>::digits));
typedef typename detail::int_least_helper< ::boost::uint_t<Bits>::s>::least least;
#else
typedef typename detail::uint_least_helper
<
typedef typename boost::detail::uint_least_helper
<
#ifdef BOOST_HAS_LONG_LONG
(Bits <= (int)(sizeof(boost::long_long_type) * CHAR_BIT)) +
#else
@ -166,16 +167,16 @@ namespace boost
// integer templates specifying extreme value ----------------------------//
// signed
#if !defined(BOOST_NO_INTEGRAL_INT64_T) && defined(BOOST_HAS_LONG_LONG)
#if !defined(BOOST_NO_INTEGRAL_INT64_T) && !defined(BOOST_NO_INT64_T) && defined(BOOST_HAS_LONG_LONG)
template< boost::long_long_type MaxValue > // maximum value to require support
#else
template< long MaxValue > // maximum value to require support
#endif
struct int_max_value_t
struct int_max_value_t
{
typedef typename detail::int_least_helper
typedef typename boost::detail::int_least_helper
<
#if !defined(BOOST_NO_INTEGRAL_INT64_T) && defined(BOOST_HAS_LONG_LONG)
#if !defined(BOOST_NO_INTEGRAL_INT64_T) && !defined(BOOST_NO_INT64_T) && defined(BOOST_HAS_LONG_LONG)
(MaxValue <= ::boost::integer_traits<boost::long_long_type>::const_max) +
#else
1 +
@ -188,16 +189,16 @@ namespace boost
typedef typename int_fast_t<least>::type fast;
};
#if !defined(BOOST_NO_INTEGRAL_INT64_T) && defined(BOOST_HAS_LONG_LONG)
#if !defined(BOOST_NO_INTEGRAL_INT64_T) && !defined(BOOST_NO_INT64_T) && defined(BOOST_HAS_LONG_LONG)
template< boost::long_long_type MinValue > // minimum value to require support
#else
template< long MinValue > // minimum value to require support
#endif
struct int_min_value_t
struct int_min_value_t
{
typedef typename detail::int_least_helper
typedef typename boost::detail::int_least_helper
<
#if !defined(BOOST_NO_INTEGRAL_INT64_T) && defined(BOOST_HAS_LONG_LONG)
#if !defined(BOOST_NO_INTEGRAL_INT64_T) && !defined(BOOST_NO_INT64_T) && defined(BOOST_HAS_LONG_LONG)
(MinValue >= ::boost::integer_traits<boost::long_long_type>::const_min) +
#else
1 +
@ -216,12 +217,12 @@ namespace boost
#else
template< unsigned long MaxValue > // minimum value to require support
#endif
struct uint_value_t
struct uint_value_t
{
#if (defined(__BORLANDC__) || defined(__CODEGEAR__))
// It's really not clear why this workaround should be needed... shrug I guess! JM
#if defined(BOOST_NO_INTEGRAL_INT64_T)
BOOST_STATIC_CONSTANT(unsigned, which =
BOOST_STATIC_CONSTANT(unsigned, which =
1 +
(MaxValue <= ::boost::integer_traits<unsigned long>::const_max) +
(MaxValue <= ::boost::integer_traits<unsigned int>::const_max) +
@ -229,7 +230,7 @@ namespace boost
(MaxValue <= ::boost::integer_traits<unsigned char>::const_max));
typedef typename detail::int_least_helper< ::boost::uint_value_t<MaxValue>::which>::least least;
#else // BOOST_NO_INTEGRAL_INT64_T
BOOST_STATIC_CONSTANT(unsigned, which =
BOOST_STATIC_CONSTANT(unsigned, which =
1 +
(MaxValue <= ::boost::integer_traits<boost::ulong_long_type>::const_max) +
(MaxValue <= ::boost::integer_traits<unsigned long>::const_max) +
@ -239,8 +240,8 @@ namespace boost
typedef typename detail::uint_least_helper< ::boost::uint_value_t<MaxValue>::which>::least least;
#endif // BOOST_NO_INTEGRAL_INT64_T
#else
typedef typename detail::uint_least_helper
<
typedef typename boost::detail::uint_least_helper
<
#if !defined(BOOST_NO_INTEGRAL_INT64_T) && defined(BOOST_HAS_LONG_LONG)
(MaxValue <= ::boost::integer_traits<boost::ulong_long_type>::const_max) +
#else

View File

@ -0,0 +1,16 @@
// Boost common_factor.hpp header file -------------------------------------//
// (C) Copyright Daryle Walker 2001-2002.
// Distributed under the Boost Software License, Version 1.0. (See
// accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
// See http://www.boost.org for updates, documentation, and revision history.
#ifndef BOOST_INTEGER_COMMON_FACTOR_HPP
#define BOOST_INTEGER_COMMON_FACTOR_HPP
#include <boost/integer/common_factor_ct.hpp>
#include <boost/integer/common_factor_rt.hpp>
#endif // BOOST_INTEGER_COMMON_FACTOR_HPP

View File

@ -0,0 +1,102 @@
// Boost common_factor_ct.hpp header file ----------------------------------//
// (C) Copyright Daryle Walker and Stephen Cleary 2001-2002.
// Distributed under the Boost Software License, Version 1.0. (See
// accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
// See http://www.boost.org for updates, documentation, and revision history.
#ifndef BOOST_INTEGER_COMMON_FACTOR_CT_HPP
#define BOOST_INTEGER_COMMON_FACTOR_CT_HPP
#include <boost/integer_fwd.hpp> // self include
#include <boost/config.hpp> // for BOOST_STATIC_CONSTANT, etc.
namespace boost
{
namespace integer
{
// Implementation details --------------------------------------------------//
namespace detail
{
// Build GCD with Euclid's recursive algorithm
template < static_gcd_type Value1, static_gcd_type Value2 >
struct static_gcd_helper_t
{
private:
BOOST_STATIC_CONSTANT( static_gcd_type, new_value1 = Value2 );
BOOST_STATIC_CONSTANT( static_gcd_type, new_value2 = Value1 % Value2 );
#ifndef __BORLANDC__
#define BOOST_DETAIL_GCD_HELPER_VAL(Value) static_cast<static_gcd_type>(Value)
#else
typedef static_gcd_helper_t self_type;
#define BOOST_DETAIL_GCD_HELPER_VAL(Value) (self_type:: Value )
#endif
typedef static_gcd_helper_t< BOOST_DETAIL_GCD_HELPER_VAL(new_value1),
BOOST_DETAIL_GCD_HELPER_VAL(new_value2) > next_step_type;
#undef BOOST_DETAIL_GCD_HELPER_VAL
public:
BOOST_STATIC_CONSTANT( static_gcd_type, value = next_step_type::value );
};
// Non-recursive case
template < static_gcd_type Value1 >
struct static_gcd_helper_t< Value1, 0UL >
{
BOOST_STATIC_CONSTANT( static_gcd_type, value = Value1 );
};
// Build the LCM from the GCD
template < static_gcd_type Value1, static_gcd_type Value2 >
struct static_lcm_helper_t
{
typedef static_gcd_helper_t<Value1, Value2> gcd_type;
BOOST_STATIC_CONSTANT( static_gcd_type, value = Value1 / gcd_type::value
* Value2 );
};
// Special case for zero-GCD values
template < >
struct static_lcm_helper_t< 0UL, 0UL >
{
BOOST_STATIC_CONSTANT( static_gcd_type, value = 0UL );
};
} // namespace detail
// Compile-time greatest common divisor evaluator class declaration --------//
template < static_gcd_type Value1, static_gcd_type Value2 > struct static_gcd
{
BOOST_STATIC_CONSTANT( static_gcd_type, value = (detail::static_gcd_helper_t<Value1, Value2>::value) );
}; // boost::integer::static_gcd
#if !defined(BOOST_NO_INCLASS_MEMBER_INITIALIZATION)
template< static_gcd_type Value1, static_gcd_type Value2 > static_gcd_type const static_gcd< Value1, Value2 >::value;
#endif
// Compile-time least common multiple evaluator class declaration ----------//
template < static_gcd_type Value1, static_gcd_type Value2 > struct static_lcm
{
BOOST_STATIC_CONSTANT( static_gcd_type, value = (detail::static_lcm_helper_t<Value1, Value2>::value) );
}; // boost::integer::static_lcm
#if !defined(BOOST_NO_INCLASS_MEMBER_INITIALIZATION)
template< static_gcd_type Value1, static_gcd_type Value2 > static_gcd_type const static_lcm< Value1, Value2 >::value;
#endif
} // namespace integer
} // namespace boost
#endif // BOOST_INTEGER_COMMON_FACTOR_CT_HPP

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@ -0,0 +1,578 @@
// (C) Copyright Jeremy William Murphy 2016.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#ifndef BOOST_INTEGER_COMMON_FACTOR_RT_HPP
#define BOOST_INTEGER_COMMON_FACTOR_RT_HPP
#include <boost/assert.hpp>
#include <boost/core/enable_if.hpp>
#include <boost/config.hpp> // for BOOST_NESTED_TEMPLATE, etc.
#include <boost/limits.hpp> // for std::numeric_limits
#include <climits> // for CHAR_MIN
#include <boost/detail/workaround.hpp>
#include <iterator>
#include <algorithm>
#include <limits>
#ifndef BOOST_NO_CXX11_HDR_TYPE_TRAITS
#include <type_traits>
#endif
#ifdef BOOST_NO_CXX11_HDR_FUNCTIONAL
#include <functional>
#endif
#if ((defined(BOOST_MSVC) && (BOOST_MSVC >= 1600)) || (defined(__clang__) && defined(__c2__)) || (defined(BOOST_INTEL) && defined(_MSC_VER))) && (defined(_M_IX86) || defined(_M_X64))
#include <intrin.h>
#endif
#ifdef BOOST_MSVC
#pragma warning(push)
#pragma warning(disable:4127 4244) // Conditional expression is constant
#endif
#if !defined(BOOST_NO_CXX11_HDR_TYPE_TRAITS) && !defined(BOOST_NO_CXX11_NOEXCEPT)
#define BOOST_GCD_NOEXCEPT(T) noexcept(std::is_arithmetic<T>::value)
#else
#define BOOST_GCD_NOEXCEPT(T)
#endif
namespace boost {
template <class I>
class rational;
namespace integer {
namespace gcd_detail{
//
// some helper functions which really should be constexpr already, but sadly aren't:
//
#ifndef BOOST_NO_CXX14_CONSTEXPR
template <class T>
inline constexpr T constexpr_min(T const& a, T const& b) BOOST_GCD_NOEXCEPT(T)
{
return a < b ? a : b;
}
template <class T>
inline constexpr auto constexpr_swap(T&a, T& b) BOOST_GCD_NOEXCEPT(T) -> decltype(a.swap(b))
{
return a.swap(b);
}
template <class T, class U>
inline constexpr void constexpr_swap(T&a, U& b...) BOOST_GCD_NOEXCEPT(T)
{
T t(static_cast<T&&>(a));
a = static_cast<T&&>(b);
b = static_cast<T&&>(t);
}
#else
template <class T>
inline T constexpr_min(T const& a, T const& b) BOOST_GCD_NOEXCEPT(T)
{
return a < b ? a : b;
}
template <class T>
inline void constexpr_swap(T&a, T& b) BOOST_GCD_NOEXCEPT(T)
{
using std::swap;
swap(a, b);
}
#endif
template <class T, bool a =
#ifndef BOOST_NO_CXX11_HDR_TYPE_TRAITS
std::is_unsigned<T>::value ||
#endif
(std::numeric_limits<T>::is_specialized && !std::numeric_limits<T>::is_signed)>
struct gcd_traits_abs_defaults
{
inline static BOOST_CXX14_CONSTEXPR const T& abs(const T& val) BOOST_GCD_NOEXCEPT(T) { return val; }
};
template <class T>
struct gcd_traits_abs_defaults<T, false>
{
inline static T BOOST_CXX14_CONSTEXPR abs(const T& val) BOOST_GCD_NOEXCEPT(T)
{
// This sucks, but std::abs is not constexpr :(
return val < T(0) ? -val : val;
}
};
enum method_type
{
method_euclid = 0,
method_binary = 1,
method_mixed = 2
};
struct any_convert
{
template <class T>
any_convert(const T&);
};
struct unlikely_size
{
char buf[9973];
};
unlikely_size operator <<= (any_convert, any_convert);
unlikely_size operator >>= (any_convert, any_convert);
template <class T>
struct gcd_traits_defaults : public gcd_traits_abs_defaults<T>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(T& val) BOOST_GCD_NOEXCEPT(T)
{
unsigned r = 0;
while(0 == (val & 1u))
{
#ifdef _MSC_VER // VC++ can't handle operator >>= in constexpr code for some reason
val = val >> 1;
#else
val >>= 1;
#endif
++r;
}
return r;
}
inline static BOOST_CXX14_CONSTEXPR bool less(const T& a, const T& b) BOOST_GCD_NOEXCEPT(T)
{
return a < b;
}
static T& get_value();
#ifndef BOOST_NO_SFINAE
static const bool has_operator_left_shift_equal = sizeof(get_value() <<= 2) != sizeof(unlikely_size);
static const bool has_operator_right_shift_equal = sizeof(get_value() >>= 2) != sizeof(unlikely_size);
#else
static const bool has_operator_left_shift_equal = true;
static const bool has_operator_right_shift_equal = true;
#endif
static const method_type method = std::numeric_limits<T>::is_specialized && std::numeric_limits<T>::is_integer && has_operator_left_shift_equal && has_operator_right_shift_equal ? method_mixed : method_euclid;
};
//
// Default gcd_traits just inherits from defaults:
//
template <class T>
struct gcd_traits : public gcd_traits_defaults<T> {};
//
// Some platforms have fast bitscan operations, that allow us to implement
// make_odd much more efficiently, unfortunately we can't use these if we want
// the functions to be constexpr as the compiler intrinsics aren't constexpr.
//
#if defined(BOOST_NO_CXX14_CONSTEXPR) && ((defined(BOOST_MSVC) && (BOOST_MSVC >= 1600)) || (defined(__clang__) && defined(__c2__)) || (defined(BOOST_INTEL) && defined(_MSC_VER))) && (defined(_M_IX86) || defined(_M_X64))
#pragma intrinsic(_BitScanForward,)
template <>
struct gcd_traits<unsigned long> : public gcd_traits_defaults<unsigned long>
{
BOOST_FORCEINLINE static unsigned find_lsb(unsigned long val) BOOST_NOEXCEPT
{
unsigned long result;
_BitScanForward(&result, val);
return result;
}
BOOST_FORCEINLINE static unsigned make_odd(unsigned long& val) BOOST_NOEXCEPT
{
unsigned result = find_lsb(val);
val >>= result;
return result;
}
};
#ifdef _M_X64
#pragma intrinsic(_BitScanForward64)
template <>
struct gcd_traits<unsigned __int64> : public gcd_traits_defaults<unsigned __int64>
{
BOOST_FORCEINLINE static unsigned find_lsb(unsigned __int64 mask) BOOST_NOEXCEPT
{
unsigned long result;
_BitScanForward64(&result, mask);
return result;
}
BOOST_FORCEINLINE static unsigned make_odd(unsigned __int64& val) BOOST_NOEXCEPT
{
unsigned result = find_lsb(val);
val >>= result;
return result;
}
};
#endif
//
// Other integer type are trivial adaptations of the above,
// this works for signed types too, as by the time these functions
// are called, all values are > 0.
//
template <> struct gcd_traits<long> : public gcd_traits_defaults<long>
{ BOOST_FORCEINLINE static unsigned make_odd(long& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
template <> struct gcd_traits<unsigned int> : public gcd_traits_defaults<unsigned int>
{ BOOST_FORCEINLINE static unsigned make_odd(unsigned int& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
template <> struct gcd_traits<int> : public gcd_traits_defaults<int>
{ BOOST_FORCEINLINE static unsigned make_odd(int& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
template <> struct gcd_traits<unsigned short> : public gcd_traits_defaults<unsigned short>
{ BOOST_FORCEINLINE static unsigned make_odd(unsigned short& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
template <> struct gcd_traits<short> : public gcd_traits_defaults<short>
{ BOOST_FORCEINLINE static unsigned make_odd(short& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
template <> struct gcd_traits<unsigned char> : public gcd_traits_defaults<unsigned char>
{ BOOST_FORCEINLINE static unsigned make_odd(unsigned char& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
template <> struct gcd_traits<signed char> : public gcd_traits_defaults<signed char>
{ BOOST_FORCEINLINE static signed make_odd(signed char& val)BOOST_NOEXCEPT{ signed result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
template <> struct gcd_traits<char> : public gcd_traits_defaults<char>
{ BOOST_FORCEINLINE static unsigned make_odd(char& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
#ifndef BOOST_NO_INTRINSIC_WCHAR_T
template <> struct gcd_traits<wchar_t> : public gcd_traits_defaults<wchar_t>
{ BOOST_FORCEINLINE static unsigned make_odd(wchar_t& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; } };
#endif
#ifdef _M_X64
template <> struct gcd_traits<__int64> : public gcd_traits_defaults<__int64>
{ BOOST_FORCEINLINE static unsigned make_odd(__int64& val)BOOST_NOEXCEPT{ unsigned result = gcd_traits<unsigned __int64>::find_lsb(val); val >>= result; return result; } };
#endif
#elif defined(BOOST_GCC) || defined(__clang__) || (defined(BOOST_INTEL) && defined(__GNUC__))
template <>
struct gcd_traits<unsigned> : public gcd_traits_defaults<unsigned>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned find_lsb(unsigned mask)BOOST_NOEXCEPT
{
return __builtin_ctz(mask);
}
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(unsigned& val)BOOST_NOEXCEPT
{
unsigned result = find_lsb(val);
val >>= result;
return result;
}
};
template <>
struct gcd_traits<unsigned long> : public gcd_traits_defaults<unsigned long>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned find_lsb(unsigned long mask)BOOST_NOEXCEPT
{
return __builtin_ctzl(mask);
}
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(unsigned long& val)BOOST_NOEXCEPT
{
unsigned result = find_lsb(val);
val >>= result;
return result;
}
};
template <>
struct gcd_traits<boost::ulong_long_type> : public gcd_traits_defaults<boost::ulong_long_type>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned find_lsb(boost::ulong_long_type mask)BOOST_NOEXCEPT
{
return __builtin_ctzll(mask);
}
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(boost::ulong_long_type& val)BOOST_NOEXCEPT
{
unsigned result = find_lsb(val);
val >>= result;
return result;
}
};
//
// Other integer type are trivial adaptations of the above,
// this works for signed types too, as by the time these functions
// are called, all values are > 0.
//
template <> struct gcd_traits<boost::long_long_type> : public gcd_traits_defaults<boost::long_long_type>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(boost::long_long_type& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<boost::ulong_long_type>::find_lsb(val); val >>= result; return result; }
};
template <> struct gcd_traits<long> : public gcd_traits_defaults<long>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(long& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; }
};
template <> struct gcd_traits<int> : public gcd_traits_defaults<int>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(int& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned long>::find_lsb(val); val >>= result; return result; }
};
template <> struct gcd_traits<unsigned short> : public gcd_traits_defaults<unsigned short>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(unsigned short& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
};
template <> struct gcd_traits<short> : public gcd_traits_defaults<short>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(short& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
};
template <> struct gcd_traits<unsigned char> : public gcd_traits_defaults<unsigned char>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(unsigned char& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
};
template <> struct gcd_traits<signed char> : public gcd_traits_defaults<signed char>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR signed make_odd(signed char& val)BOOST_NOEXCEPT { signed result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
};
template <> struct gcd_traits<char> : public gcd_traits_defaults<char>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(char& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
};
#ifndef BOOST_NO_INTRINSIC_WCHAR_T
template <> struct gcd_traits<wchar_t> : public gcd_traits_defaults<wchar_t>
{
BOOST_FORCEINLINE static BOOST_CXX14_CONSTEXPR unsigned make_odd(wchar_t& val)BOOST_NOEXCEPT { unsigned result = gcd_traits<unsigned>::find_lsb(val); val >>= result; return result; }
};
#endif
#endif
//
// The Mixed Binary Euclid Algorithm
// Sidi Mohamed Sedjelmaci
// Electronic Notes in Discrete Mathematics 35 (2009) 169-176
//
template <class T>
BOOST_CXX14_CONSTEXPR T mixed_binary_gcd(T u, T v) BOOST_GCD_NOEXCEPT(T)
{
if(gcd_traits<T>::less(u, v))
constexpr_swap(u, v);
unsigned shifts = 0;
if(u == T(0))
return v;
if(v == T(0))
return u;
shifts = constexpr_min(gcd_traits<T>::make_odd(u), gcd_traits<T>::make_odd(v));
while(gcd_traits<T>::less(1, v))
{
u %= v;
v -= u;
if(u == T(0))
return v << shifts;
if(v == T(0))
return u << shifts;
gcd_traits<T>::make_odd(u);
gcd_traits<T>::make_odd(v);
if(gcd_traits<T>::less(u, v))
constexpr_swap(u, v);
}
return (v == 1 ? v : u) << shifts;
}
/** Stein gcd (aka 'binary gcd')
*
* From Mathematics to Generic Programming, Alexander Stepanov, Daniel Rose
*/
template <typename SteinDomain>
BOOST_CXX14_CONSTEXPR SteinDomain Stein_gcd(SteinDomain m, SteinDomain n) BOOST_GCD_NOEXCEPT(SteinDomain)
{
BOOST_ASSERT(m >= 0);
BOOST_ASSERT(n >= 0);
if (m == SteinDomain(0))
return n;
if (n == SteinDomain(0))
return m;
// m > 0 && n > 0
int d_m = gcd_traits<SteinDomain>::make_odd(m);
int d_n = gcd_traits<SteinDomain>::make_odd(n);
// odd(m) && odd(n)
while (m != n)
{
if (n > m)
constexpr_swap(n, m);
m -= n;
gcd_traits<SteinDomain>::make_odd(m);
}
// m == n
m <<= constexpr_min(d_m, d_n);
return m;
}
/** Euclidean algorithm
*
* From Mathematics to Generic Programming, Alexander Stepanov, Daniel Rose
*
*/
template <typename EuclideanDomain>
inline BOOST_CXX14_CONSTEXPR EuclideanDomain Euclid_gcd(EuclideanDomain a, EuclideanDomain b) BOOST_GCD_NOEXCEPT(EuclideanDomain)
{
while (b != EuclideanDomain(0))
{
a %= b;
constexpr_swap(a, b);
}
return a;
}
template <typename T>
inline BOOST_CXX14_CONSTEXPR BOOST_DEDUCED_TYPENAME enable_if_c<gcd_traits<T>::method == method_mixed, T>::type
optimal_gcd_select(T const &a, T const &b) BOOST_GCD_NOEXCEPT(T)
{
return gcd_detail::mixed_binary_gcd(a, b);
}
template <typename T>
inline BOOST_CXX14_CONSTEXPR BOOST_DEDUCED_TYPENAME enable_if_c<gcd_traits<T>::method == method_binary, T>::type
optimal_gcd_select(T const &a, T const &b) BOOST_GCD_NOEXCEPT(T)
{
return gcd_detail::Stein_gcd(a, b);
}
template <typename T>
inline BOOST_CXX14_CONSTEXPR BOOST_DEDUCED_TYPENAME enable_if_c<gcd_traits<T>::method == method_euclid, T>::type
optimal_gcd_select(T const &a, T const &b) BOOST_GCD_NOEXCEPT(T)
{
return gcd_detail::Euclid_gcd(a, b);
}
template <class T>
inline BOOST_CXX14_CONSTEXPR T lcm_imp(const T& a, const T& b) BOOST_GCD_NOEXCEPT(T)
{
T temp = boost::integer::gcd_detail::optimal_gcd_select(a, b);
#if BOOST_WORKAROUND(BOOST_GCC_VERSION, < 40500)
return (temp != T(0)) ? T(a / temp * b) : T(0);
#else
return temp != T(0) ? T(a / temp * b) : T(0);
#endif
}
} // namespace detail
template <typename Integer>
inline BOOST_CXX14_CONSTEXPR Integer gcd(Integer const &a, Integer const &b) BOOST_GCD_NOEXCEPT(Integer)
{
if(a == (std::numeric_limits<Integer>::min)())
return a == static_cast<Integer>(0) ? gcd_detail::gcd_traits<Integer>::abs(b) : boost::integer::gcd(static_cast<Integer>(a % b), b);
else if (b == (std::numeric_limits<Integer>::min)())
return b == static_cast<Integer>(0) ? gcd_detail::gcd_traits<Integer>::abs(a) : boost::integer::gcd(a, static_cast<Integer>(b % a));
return gcd_detail::optimal_gcd_select(static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(a)), static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(b)));
}
template <typename Integer>
inline BOOST_CXX14_CONSTEXPR Integer lcm(Integer const &a, Integer const &b) BOOST_GCD_NOEXCEPT(Integer)
{
return gcd_detail::lcm_imp(static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(a)), static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(b)));
}
#ifndef BOOST_NO_CXX11_VARIADIC_TEMPLATES
//
// This looks slightly odd, but the variadic forms must have 3 or more arguments, and the variadic argument pack may be empty.
// This matters not at all for most compilers, but Oracle C++ selects the wrong overload in the 2-arg case unless we do this.
//
template <typename Integer, typename... Args>
inline BOOST_CXX14_CONSTEXPR Integer gcd(Integer const &a, Integer const &b, const Integer& c, Args const&... args) BOOST_GCD_NOEXCEPT(Integer)
{
Integer t = gcd(b, c, args...);
return t == 1 ? 1 : gcd(a, t);
}
template <typename Integer, typename... Args>
inline BOOST_CXX14_CONSTEXPR Integer lcm(Integer const &a, Integer const &b, Integer const& c, Args const&... args) BOOST_GCD_NOEXCEPT(Integer)
{
return lcm(a, lcm(b, c, args...));
}
#endif
//
// Special handling for rationals:
//
template <typename Integer>
inline typename boost::enable_if_c<std::numeric_limits<Integer>::is_specialized, boost::rational<Integer> >::type gcd(boost::rational<Integer> const &a, boost::rational<Integer> const &b)
{
return boost::rational<Integer>(static_cast<Integer>(gcd(a.numerator(), b.numerator())), static_cast<Integer>(lcm(a.denominator(), b.denominator())));
}
template <typename Integer>
inline typename boost::enable_if_c<std::numeric_limits<Integer>::is_specialized, boost::rational<Integer> >::type lcm(boost::rational<Integer> const &a, boost::rational<Integer> const &b)
{
return boost::rational<Integer>(static_cast<Integer>(lcm(a.numerator(), b.numerator())), static_cast<Integer>(gcd(a.denominator(), b.denominator())));
}
/**
* Knuth, The Art of Computer Programming: Volume 2, Third edition, 1998
* Chapter 4.5.2, Algorithm C: Greatest common divisor of n integers.
*
* Knuth counts down from n to zero but we naturally go from first to last.
* We also return the termination position because it might be useful to know.
*
* Partly by quirk, partly by design, this algorithm is defined for n = 1,
* because the gcd of {x} is x. It is not defined for n = 0.
*
* @tparam I Input iterator.
* @return The gcd of the range and the iterator position at termination.
*/
template <typename I>
std::pair<typename std::iterator_traits<I>::value_type, I>
gcd_range(I first, I last) BOOST_GCD_NOEXCEPT(I)
{
BOOST_ASSERT(first != last);
typedef typename std::iterator_traits<I>::value_type T;
T d = *first++;
while (d != T(1) && first != last)
{
d = gcd(d, *first);
first++;
}
return std::make_pair(d, first);
}
template <typename I>
std::pair<typename std::iterator_traits<I>::value_type, I>
lcm_range(I first, I last) BOOST_GCD_NOEXCEPT(I)
{
BOOST_ASSERT(first != last);
typedef typename std::iterator_traits<I>::value_type T;
T d = *first++;
while (d != T(1) && first != last)
{
d = lcm(d, *first);
first++;
}
return std::make_pair(d, first);
}
template < typename IntegerType >
class gcd_evaluator
#ifdef BOOST_NO_CXX11_HDR_FUNCTIONAL
: public std::binary_function<IntegerType, IntegerType, IntegerType>
#endif
{
public:
#ifndef BOOST_NO_CXX11_HDR_FUNCTIONAL
typedef IntegerType first_argument_type;
typedef IntegerType second_argument_type;
typedef IntegerType result_type;
#endif
IntegerType operator()(IntegerType const &a, IntegerType const &b)const
{
return boost::integer::gcd(a, b);
}
};
template < typename IntegerType >
class lcm_evaluator
#ifdef BOOST_NO_CXX11_HDR_FUNCTIONAL
: public std::binary_function<IntegerType, IntegerType, IntegerType>
#endif
{
public:
#ifndef BOOST_NO_CXX11_HDR_FUNCTIONAL
typedef IntegerType first_argument_type;
typedef IntegerType second_argument_type;
typedef IntegerType result_type;
#endif
IntegerType operator()(IntegerType const &a, IntegerType const &b)const
{
return boost::integer::lcm(a, b);
}
};
} // namespace integer
} // namespace boost
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
#endif // BOOST_INTEGER_COMMON_FACTOR_RT_HPP

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@ -57,19 +57,27 @@ struct high_bit_mask_t
// Makes masks for the lowest N bits
// (Specializations are needed when N fills up a type.)
#ifdef BOOST_MSVC
#pragma warning(push)
#pragma warning(disable:4310) // cast truncates constant value
#endif
template < std::size_t Bits >
struct low_bits_mask_t
{
typedef typename uint_t<Bits>::least least;
typedef typename uint_t<Bits>::fast fast;
BOOST_STATIC_CONSTANT( least, sig_bits = (~( ~(least( 0u )) << Bits )) );
BOOST_STATIC_CONSTANT( least, sig_bits = least(~(least(~(least( 0u ))) << Bits )) );
BOOST_STATIC_CONSTANT( fast, sig_bits_fast = fast(sig_bits) );
BOOST_STATIC_CONSTANT( std::size_t, bit_count = Bits );
}; // boost::low_bits_mask_t
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
#define BOOST_LOW_BITS_MASK_SPECIALIZE( Type ) \
template < > struct low_bits_mask_t< std::numeric_limits<Type>::digits > { \

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@ -158,6 +158,32 @@ template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Valu
template <static_min_max_unsigned_type Value1, static_min_max_unsigned_type Value2>
struct static_unsigned_max;
namespace integer
{
// From <boost/integer/common_factor_ct.hpp>
#ifdef BOOST_NO_INTEGRAL_INT64_T
typedef unsigned long static_gcd_type;
#else
typedef boost::uintmax_t static_gcd_type;
#endif
template < static_gcd_type Value1, static_gcd_type Value2 >
struct static_gcd;
template < static_gcd_type Value1, static_gcd_type Value2 >
struct static_lcm;
// From <boost/integer/common_factor_rt.hpp>
template < typename IntegerType >
class gcd_evaluator;
template < typename IntegerType >
class lcm_evaluator;
} // namespace integer
} // namespace boost

12
meta/libraries.json Normal file
View File

@ -0,0 +1,12 @@
{
"key": "integer",
"name": "Integer",
"description": "The organization of boost integer headers and classes is designed to take advantage of <stdint.h> types from the 1999 C standard without resorting to undefined behavior in terms of the 1998 C++ standard. The header <boost/cstdint.hpp> makes the standard integer types safely available in namespace boost without placing any names in namespace std.",
"category": [
"Math"
],
"authors": "",
"maintainers": [
"Daryle Walker <darylew -at- hotmail.com>"
]
}

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@ -6,6 +6,9 @@ import testing ;
project : requirements <warnings>all <toolset>gcc:<cxxflags>-Wextra ;
obj has_gmpxx : has_gmpxx.cpp ;
explicit has_gmpxx ;
test-suite integer
:
[ run integer_traits_test.cpp ]
@ -19,10 +22,14 @@ test-suite integer
[ compile static_log2_include_test.cpp ]
[ compile static_min_max_include_test.cpp ]
[ compile integer_fwd_include_test.cpp ]
[ compile gcd_constexpr14_test.cpp ]
[ compile gcd_noexcept_test.cpp ]
[ compile-fail fail_int_exact.cpp ]
[ compile-fail fail_int_fast.cpp ]
[ compile-fail fail_int_least.cpp ]
[ compile-fail fail_uint_exact.cpp ]
[ compile-fail fail_uint_fast.cpp ]
[ compile-fail fail_uint_least.cpp ]
[ compile-fail fail_uint_65.cpp ]
[ run common_factor_test.cpp : : : [ check-target-builds has_gmpxx "Checking for gmpxx.h" : <define>BOOST_INTEGER_HAS_GMPXX_H=1 <linkflags>-lgmp <linkflags>-lgmpxx ] ]
;

645
test/common_factor_test.cpp Normal file
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@ -0,0 +1,645 @@
// Boost GCD & LCM common_factor.hpp test program --------------------------//
// (C) Copyright Daryle Walker 2001, 2006.
// Distributed under the Boost Software License, Version 1.0. (See
// accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
// See http://www.boost.org for most recent version including documentation.
// Revision History
// 01 Dec 2006 Various fixes for old compilers (Joaquin M Lopez Munoz)
// 10 Nov 2006 Make long long and __int64 mutually exclusive (Daryle Walker)
// 04 Nov 2006 Use more built-in numeric types, binary-GCD (Daryle Walker)
// 03 Nov 2006 Use custom numeric types (Daryle Walker)
// 02 Nov 2006 Change to Boost.Test's unit test system (Daryle Walker)
// 07 Nov 2001 Initial version (Daryle Walker)
#define BOOST_TEST_MAIN "Boost.integer GCD & LCM unit tests"
#include <boost/config.hpp> // for BOOST_MSVC, etc.
#include <boost/detail/workaround.hpp>
#include <boost/integer/common_factor.hpp> // for boost::integer::gcd, etc.
#include <boost/mpl/list.hpp> // for boost::mpl::list
#include <boost/operators.hpp>
#include <boost/core/lightweight_test.hpp>
#include <boost/random.hpp>
#include <boost/rational.hpp>
#include <istream> // for std::basic_istream
#include <limits> // for std::numeric_limits
#include <ostream> // for std::basic_ostream
#ifdef BOOST_INTEGER_HAS_GMPXX_H
#include <gmpxx.h>
#endif
#if (defined(BOOST_MSVC) && (BOOST_MSVC < 1500)) || (defined(__clang_major__) && (__clang_major__ == 3) && (__clang_minor__ < 2))
#define DISABLE_MP_TESTS
#endif
#ifndef DISABLE_MP_TESTS
#include <boost/multiprecision/cpp_int.hpp>
#endif
namespace {
// TODO: add polynominal/non-real type; especially after any switch to the
// binary-GCD algorithm for built-in types
// Custom integer class (template)
template < typename IntType, int ID = 0 >
class my_wrapped_integer
: private ::boost::shiftable1<my_wrapped_integer<IntType, ID>,
::boost::operators<my_wrapped_integer<IntType, ID> > >
{
// Helper type-aliases
typedef my_wrapped_integer self_type;
typedef IntType self_type::* bool_type;
// Member data
IntType v_;
public:
// Template parameters
typedef IntType int_type;
BOOST_STATIC_CONSTANT(int,id = ID);
// Lifetime management (use automatic destructor and copy constructor)
my_wrapped_integer( int_type const &v = int_type() ) : v_( v ) {}
// Accessors
int_type value() const { return this->v_; }
// Operators (use automatic copy assignment)
operator bool_type() const { return this->v_ ? &self_type::v_ : 0; }
self_type & operator ++() { ++this->v_; return *this; }
self_type & operator --() { --this->v_; return *this; }
self_type operator ~() const { return self_type( ~this->v_ ); }
self_type operator !() const { return self_type( !this->v_ ); }
self_type operator +() const { return self_type( +this->v_ ); }
self_type operator -() const { return self_type( -this->v_ ); }
bool operator <( self_type const &r ) const { return this->v_ < r.v_; }
bool operator ==( self_type const &r ) const { return this->v_ == r.v_; }
self_type &operator *=(self_type const &r) {this->v_ *= r.v_; return *this;}
self_type &operator /=(self_type const &r) {this->v_ /= r.v_; return *this;}
self_type &operator %=(self_type const &r) {this->v_ %= r.v_; return *this;}
self_type &operator +=(self_type const &r) {this->v_ += r.v_; return *this;}
self_type &operator -=(self_type const &r) {this->v_ -= r.v_; return *this;}
self_type &operator<<=(self_type const &r){this->v_ <<= r.v_; return *this;}
self_type &operator>>=(self_type const &r){this->v_ >>= r.v_; return *this;}
self_type &operator &=(self_type const &r) {this->v_ &= r.v_; return *this;}
self_type &operator |=(self_type const &r) {this->v_ |= r.v_; return *this;}
self_type &operator ^=(self_type const &r) {this->v_ ^= r.v_; return *this;}
// Input & output
friend std::istream & operator >>( std::istream &i, self_type &x )
{ return i >> x.v_; }
friend std::ostream & operator <<( std::ostream &o, self_type const &x )
{ return o << x.v_; }
}; // my_wrapped_integer
template < typename IntType, int ID >
my_wrapped_integer<IntType, ID> abs( my_wrapped_integer<IntType, ID> const &x )
{ return ( x < my_wrapped_integer<IntType, ID>(0) ) ? -x : +x; }
typedef my_wrapped_integer<int> MyInt1;
typedef my_wrapped_integer<unsigned> MyUnsigned1;
typedef my_wrapped_integer<int, 1> MyInt2;
typedef my_wrapped_integer<unsigned, 1> MyUnsigned2;
// Without these explicit instantiations, MSVC++ 6.5/7.0 does not find
// some friend operators in certain contexts.
MyInt1 dummy1;
MyUnsigned1 dummy2;
MyInt2 dummy3;
MyUnsigned2 dummy4;
// Various types to test with each GCD/LCM
typedef ::boost::mpl::list<signed char, short, int, long,
#if BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
#elif defined(BOOST_HAS_LONG_LONG)
boost::long_long_type,
#elif defined(BOOST_HAS_MS_INT64)
__int64,
#endif
MyInt1
#ifndef DISABLE_MP_TESTS
, boost::multiprecision::cpp_int
#endif
> signed_test_types;
typedef ::boost::mpl::list<unsigned char, unsigned short, unsigned,
unsigned long,
#if BOOST_WORKAROUND(BOOST_MSVC, <= 1500)
#elif defined(BOOST_HAS_LONG_LONG)
boost::ulong_long_type,
#elif defined(BOOST_HAS_MS_INT64)
unsigned __int64,
#endif
MyUnsigned1, MyUnsigned2 /*, boost::multiprecision::uint256_t*/> unsigned_test_types;
} // namespace
#define BOOST_NO_MACRO_EXPAND /**/
// Specialize numeric_limits for _some_ of our types
namespace std
{
template < >
class numeric_limits< MyInt1 >
{
typedef MyInt1::int_type int_type;
typedef numeric_limits<int_type> limits_type;
public:
BOOST_STATIC_CONSTANT(bool, is_specialized = limits_type::is_specialized);
static MyInt1 min BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::min)(); }
static MyInt1 max BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::max)(); }
BOOST_STATIC_CONSTANT(int, digits = limits_type::digits);
BOOST_STATIC_CONSTANT(int, digits10 = limits_type::digits10);
#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
BOOST_STATIC_CONSTANT(int, max_digits10 = limits_type::max_digits10);
#endif
BOOST_STATIC_CONSTANT(bool, is_signed = limits_type::is_signed);
BOOST_STATIC_CONSTANT(bool, is_integer = limits_type::is_integer);
BOOST_STATIC_CONSTANT(bool, is_exact = limits_type::is_exact);
BOOST_STATIC_CONSTANT(int, radix = limits_type::radix);
static MyInt1 epsilon() throw() { return limits_type::epsilon(); }
static MyInt1 round_error() throw() { return limits_type::round_error(); }
BOOST_STATIC_CONSTANT(int, min_exponent = limits_type::min_exponent);
BOOST_STATIC_CONSTANT(int, min_exponent10 = limits_type::min_exponent10);
BOOST_STATIC_CONSTANT(int, max_exponent = limits_type::max_exponent);
BOOST_STATIC_CONSTANT(int, max_exponent10 = limits_type::max_exponent10);
BOOST_STATIC_CONSTANT(bool, has_infinity = limits_type::has_infinity);
BOOST_STATIC_CONSTANT(bool, has_quiet_NaN = limits_type::has_quiet_NaN);
BOOST_STATIC_CONSTANT(bool, has_signaling_NaN = limits_type::has_signaling_NaN);
BOOST_STATIC_CONSTANT(float_denorm_style, has_denorm = limits_type::has_denorm);
BOOST_STATIC_CONSTANT(bool, has_denorm_loss = limits_type::has_denorm_loss);
static MyInt1 infinity() throw() { return limits_type::infinity(); }
static MyInt1 quiet_NaN() throw() { return limits_type::quiet_NaN(); }
static MyInt1 signaling_NaN() throw() {return limits_type::signaling_NaN();}
static MyInt1 denorm_min() throw() { return limits_type::denorm_min(); }
BOOST_STATIC_CONSTANT(bool, is_iec559 = limits_type::is_iec559);
BOOST_STATIC_CONSTANT(bool, is_bounded = limits_type::is_bounded);
BOOST_STATIC_CONSTANT(bool, is_modulo = limits_type::is_modulo);
BOOST_STATIC_CONSTANT(bool, traps = limits_type::traps);
BOOST_STATIC_CONSTANT(bool, tinyness_before = limits_type::tinyness_before);
BOOST_STATIC_CONSTANT(float_round_style, round_style = limits_type::round_style);
}; // std::numeric_limits<MyInt1>
template < >
class numeric_limits< MyUnsigned1 >
{
typedef MyUnsigned1::int_type int_type;
typedef numeric_limits<int_type> limits_type;
public:
BOOST_STATIC_CONSTANT(bool, is_specialized = limits_type::is_specialized);
static MyUnsigned1 min BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::min)(); }
static MyUnsigned1 max BOOST_NO_MACRO_EXPAND() throw() { return (limits_type::max)(); }
BOOST_STATIC_CONSTANT(int, digits = limits_type::digits);
BOOST_STATIC_CONSTANT(int, digits10 = limits_type::digits10);
#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
BOOST_STATIC_CONSTANT(int, max_digits10 = limits_type::max_digits10);
#endif
BOOST_STATIC_CONSTANT(bool, is_signed = limits_type::is_signed);
BOOST_STATIC_CONSTANT(bool, is_integer = limits_type::is_integer);
BOOST_STATIC_CONSTANT(bool, is_exact = limits_type::is_exact);
BOOST_STATIC_CONSTANT(int, radix = limits_type::radix);
static MyUnsigned1 epsilon() throw() { return limits_type::epsilon(); }
static MyUnsigned1 round_error() throw(){return limits_type::round_error();}
BOOST_STATIC_CONSTANT(int, min_exponent = limits_type::min_exponent);
BOOST_STATIC_CONSTANT(int, min_exponent10 = limits_type::min_exponent10);
BOOST_STATIC_CONSTANT(int, max_exponent = limits_type::max_exponent);
BOOST_STATIC_CONSTANT(int, max_exponent10 = limits_type::max_exponent10);
BOOST_STATIC_CONSTANT(bool, has_infinity = limits_type::has_infinity);
BOOST_STATIC_CONSTANT(bool, has_quiet_NaN = limits_type::has_quiet_NaN);
BOOST_STATIC_CONSTANT(bool, has_signaling_NaN = limits_type::has_signaling_NaN);
BOOST_STATIC_CONSTANT(float_denorm_style, has_denorm = limits_type::has_denorm);
BOOST_STATIC_CONSTANT(bool, has_denorm_loss = limits_type::has_denorm_loss);
static MyUnsigned1 infinity() throw() { return limits_type::infinity(); }
static MyUnsigned1 quiet_NaN() throw() { return limits_type::quiet_NaN(); }
static MyUnsigned1 signaling_NaN() throw()
{ return limits_type::signaling_NaN(); }
static MyUnsigned1 denorm_min() throw(){ return limits_type::denorm_min(); }
BOOST_STATIC_CONSTANT(bool, is_iec559 = limits_type::is_iec559);
BOOST_STATIC_CONSTANT(bool, is_bounded = limits_type::is_bounded);
BOOST_STATIC_CONSTANT(bool, is_modulo = limits_type::is_modulo);
BOOST_STATIC_CONSTANT(bool, traps = limits_type::traps);
BOOST_STATIC_CONSTANT(bool, tinyness_before = limits_type::tinyness_before);
BOOST_STATIC_CONSTANT(float_round_style, round_style = limits_type::round_style);
}; // std::numeric_limits<MyUnsigned1>
#if BOOST_WORKAROUND(BOOST_MSVC,<1300)
// MSVC 6.0 lacks operator<< for __int64, see
// http://support.microsoft.com/default.aspx?scid=kb;en-us;168440
inline ostream& operator<<(ostream& os, __int64 i)
{
char buf[20];
sprintf(buf,"%I64d", i);
os << buf;
return os;
}
inline ostream& operator<<(ostream& os, unsigned __int64 i)
{
char buf[20];
sprintf(buf,"%I64u", i);
os << buf;
return os;
}
#endif
} // namespace std
// GCD tests
// GCD on signed integer types
template< class T > void gcd_int_test() // signed_test_types
{
#ifndef BOOST_MSVC
using boost::integer::gcd;
using boost::integer::gcd_evaluator;
#else
using namespace boost::integer;
#endif
// Originally from Boost.Rational tests
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(1), static_cast<T>(-1)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-1), static_cast<T>(1)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(1), static_cast<T>(1)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-1), static_cast<T>(-1)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0), static_cast<T>(0)), static_cast<T>( 0) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(7), static_cast<T>(0)), static_cast<T>( 7) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0), static_cast<T>(9)), static_cast<T>( 9) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-7), static_cast<T>(0)), static_cast<T>( 7) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0), static_cast<T>(-9)), static_cast<T>( 9) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(42), static_cast<T>(30)), static_cast<T>( 6) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(6), static_cast<T>(-9)), static_cast<T>( 3) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-10), static_cast<T>(-10)), static_cast<T>(10) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(-25), static_cast<T>(-10)), static_cast<T>( 5) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(3), static_cast<T>(7)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(8), static_cast<T>(9)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(7), static_cast<T>(49)), static_cast<T>( 7) );
// Again with function object:
BOOST_TEST_EQ(gcd_evaluator<T>()(1, -1), static_cast<T>(1));
BOOST_TEST_EQ(gcd_evaluator<T>()(-1, 1), static_cast<T>(1));
BOOST_TEST_EQ(gcd_evaluator<T>()(1, 1), static_cast<T>(1));
BOOST_TEST_EQ(gcd_evaluator<T>()(-1, -1), static_cast<T>(1));
BOOST_TEST_EQ(gcd_evaluator<T>()(0, 0), static_cast<T>(0));
BOOST_TEST_EQ(gcd_evaluator<T>()(7, 0), static_cast<T>(7));
BOOST_TEST_EQ(gcd_evaluator<T>()(0, 9), static_cast<T>(9));
BOOST_TEST_EQ(gcd_evaluator<T>()(-7, 0), static_cast<T>(7));
BOOST_TEST_EQ(gcd_evaluator<T>()(0, -9), static_cast<T>(9));
BOOST_TEST_EQ(gcd_evaluator<T>()(42, 30), static_cast<T>(6));
BOOST_TEST_EQ(gcd_evaluator<T>()(6, -9), static_cast<T>(3));
BOOST_TEST_EQ(gcd_evaluator<T>()(-10, -10), static_cast<T>(10));
BOOST_TEST_EQ(gcd_evaluator<T>()(-25, -10), static_cast<T>(5));
BOOST_TEST_EQ(gcd_evaluator<T>()(3, 7), static_cast<T>(1));
BOOST_TEST_EQ(gcd_evaluator<T>()(8, 9), static_cast<T>(1));
BOOST_TEST_EQ(gcd_evaluator<T>()(7, 49), static_cast<T>(7));
}
// GCD on unmarked signed integer type
void gcd_unmarked_int_test()
{
#ifndef BOOST_MSVC
using boost::integer::gcd;
#else
using namespace boost::integer;
#endif
// The regular signed-integer GCD function performs the unsigned version,
// then does an absolute-value on the result. Signed types that are not
// marked as such (due to no std::numeric_limits specialization) may be off
// by a sign.
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(1), static_cast<MyInt2>(-1) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-1), static_cast<MyInt2>(1) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(1), static_cast<MyInt2>(1) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-1), static_cast<MyInt2>(-1) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(0), static_cast<MyInt2>(0) )), MyInt2( 0) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(7), static_cast<MyInt2>(0) )), MyInt2( 7) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(0), static_cast<MyInt2>(9) )), MyInt2( 9) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-7), static_cast<MyInt2>(0) )), MyInt2( 7) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(0), static_cast<MyInt2>(-9) )), MyInt2( 9) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(42), static_cast<MyInt2>(30))), MyInt2( 6) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(6), static_cast<MyInt2>(-9) )), MyInt2( 3) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-10), static_cast<MyInt2>(-10) )), MyInt2(10) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(-25), static_cast<MyInt2>(-10) )), MyInt2( 5) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(3), static_cast<MyInt2>(7) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(8), static_cast<MyInt2>(9) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::gcd(static_cast<MyInt2>(7), static_cast<MyInt2>(49) )), MyInt2( 7) );
}
// GCD on unsigned integer types
template< class T > void gcd_unsigned_test() // unsigned_test_types
{
#ifndef BOOST_MSVC
using boost::integer::gcd;
#else
using namespace boost::integer;
#endif
// Note that unmarked types (i.e. have no std::numeric_limits
// specialization) are treated like non/unsigned types
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(1u), static_cast<T>(1u)), static_cast<T>( 1u) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0u), static_cast<T>(0u)), static_cast<T>( 0u) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(7u), static_cast<T>(0u)), static_cast<T>( 7u) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(0u), static_cast<T>(9u)), static_cast<T>( 9u) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(42u), static_cast<T>(30u)), static_cast<T>( 6u) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(3u), static_cast<T>(7u)), static_cast<T>( 1u) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(8u), static_cast<T>(9u)), static_cast<T>( 1u) );
BOOST_TEST_EQ( boost::integer::gcd(static_cast<T>(7u), static_cast<T>(49u)), static_cast<T>( 7u) );
}
// GCD at compile-time
void gcd_static_test()
{
#ifndef BOOST_MSVC
using boost::integer::static_gcd;
#else
using namespace boost::integer;
#endif
// Can't use "BOOST_TEST_EQ", otherwise the "value" member will be
// disqualified as compile-time-only constant, needing explicit definition
BOOST_TEST( (static_gcd< 1, 1>::value) == 1 );
BOOST_TEST( (static_gcd< 0, 0>::value) == 0 );
BOOST_TEST( (static_gcd< 7, 0>::value) == 7 );
BOOST_TEST( (static_gcd< 0, 9>::value) == 9 );
BOOST_TEST( (static_gcd<42, 30>::value) == 6 );
BOOST_TEST( (static_gcd< 3, 7>::value) == 1 );
BOOST_TEST( (static_gcd< 8, 9>::value) == 1 );
BOOST_TEST( (static_gcd< 7, 49>::value) == 7 );
}
void gcd_method_test()
{
// Verify that the 3 different methods all yield the same result:
boost::random::mt19937 gen;
boost::random::uniform_int_distribution<int> d(0, ((std::numeric_limits<int>::max)() / 2));
for (unsigned int i = 0; i < 10000; ++i)
{
int v1 = d(gen);
int v2 = d(gen);
int g = boost::integer::gcd_detail::Euclid_gcd(v1, v2);
BOOST_TEST(v1 % g == 0);
BOOST_TEST(v2 % g == 0);
BOOST_TEST_EQ(g, boost::integer::gcd_detail::mixed_binary_gcd(v1, v2));
BOOST_TEST_EQ(g, boost::integer::gcd_detail::Stein_gcd(v1, v2));
}
}
// LCM tests
// LCM on signed integer types
template< class T > void lcm_int_test() // signed_test_types
{
#ifndef BOOST_MSVC
using boost::integer::lcm;
using boost::integer::lcm_evaluator;
#else
using namespace boost::integer;
#endif
// Originally from Boost.Rational tests
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(1), static_cast<T>(-1)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-1), static_cast<T>(1)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(1), static_cast<T>(1)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-1), static_cast<T>(-1)), static_cast<T>( 1) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0), static_cast<T>(0)), static_cast<T>( 0) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(6), static_cast<T>(0)), static_cast<T>( 0) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0), static_cast<T>(7)), static_cast<T>( 0) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-5), static_cast<T>(0)), static_cast<T>( 0) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0), static_cast<T>(-4)), static_cast<T>( 0) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(18), static_cast<T>(30)), static_cast<T>(90) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-6), static_cast<T>(9)), static_cast<T>(18) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(-10), static_cast<T>(-10)), static_cast<T>(10) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(25), static_cast<T>(-10)), static_cast<T>(50) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(3), static_cast<T>(7)), static_cast<T>(21) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(8), static_cast<T>(9)), static_cast<T>(72) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(7), static_cast<T>(49)), static_cast<T>(49) );
// Again with function object:
BOOST_TEST_EQ(lcm_evaluator<T>()(1, -1), static_cast<T>(1));
BOOST_TEST_EQ(lcm_evaluator<T>()(-1, 1), static_cast<T>(1));
BOOST_TEST_EQ(lcm_evaluator<T>()(1, 1), static_cast<T>(1));
BOOST_TEST_EQ(lcm_evaluator<T>()(-1, -1), static_cast<T>(1));
BOOST_TEST_EQ(lcm_evaluator<T>()(0, 0), static_cast<T>(0));
BOOST_TEST_EQ(lcm_evaluator<T>()(6, 0), static_cast<T>(0));
BOOST_TEST_EQ(lcm_evaluator<T>()(0, 7), static_cast<T>(0));
BOOST_TEST_EQ(lcm_evaluator<T>()(-5, 0), static_cast<T>(0));
BOOST_TEST_EQ(lcm_evaluator<T>()(0, -4), static_cast<T>(0));
BOOST_TEST_EQ(lcm_evaluator<T>()(18, 30), static_cast<T>(90));
BOOST_TEST_EQ(lcm_evaluator<T>()(-6, 9), static_cast<T>(18));
BOOST_TEST_EQ(lcm_evaluator<T>()(-10, -10), static_cast<T>(10));
BOOST_TEST_EQ(lcm_evaluator<T>()(25, -10), static_cast<T>(50));
BOOST_TEST_EQ(lcm_evaluator<T>()(3, 7), static_cast<T>(21));
BOOST_TEST_EQ(lcm_evaluator<T>()(8, 9), static_cast<T>(72));
BOOST_TEST_EQ(lcm_evaluator<T>()(7, 49), static_cast<T>(49));
}
// LCM on unmarked signed integer type
void lcm_unmarked_int_test()
{
#ifndef BOOST_MSVC
using boost::integer::lcm;
#else
using namespace boost::integer;
#endif
// The regular signed-integer LCM function performs the unsigned version,
// then does an absolute-value on the result. Signed types that are not
// marked as such (due to no std::numeric_limits specialization) may be off
// by a sign.
BOOST_TEST_EQ( abs(boost::integer::lcm( static_cast<MyInt2>(1), static_cast<MyInt2>(-1) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-1), static_cast<MyInt2>(1) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(1), static_cast<MyInt2>(1) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-1), static_cast<MyInt2>(-1) )), MyInt2( 1) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(0), static_cast<MyInt2>(0) )), MyInt2( 0) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(6), static_cast<MyInt2>(0) )), MyInt2( 0) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(0), static_cast<MyInt2>(7) )), MyInt2( 0) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-5), static_cast<MyInt2>(0) )), MyInt2( 0) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(0), static_cast<MyInt2>(-4) )), MyInt2( 0) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(18), static_cast<MyInt2>(30) )), MyInt2(90) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-6), static_cast<MyInt2>(9) )), MyInt2(18) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(-10), static_cast<MyInt2>(-10) )), MyInt2(10) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(25), static_cast<MyInt2>(-10) )), MyInt2(50) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(3), static_cast<MyInt2>(7) )), MyInt2(21) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(8), static_cast<MyInt2>(9) )), MyInt2(72) );
BOOST_TEST_EQ( abs(boost::integer::lcm(static_cast<MyInt2>(7), static_cast<MyInt2>(49) )), MyInt2(49) );
}
// LCM on unsigned integer types
template< class T > void lcm_unsigned_test() // unsigned_test_types
{
#ifndef BOOST_MSVC
using boost::integer::lcm;
#else
using namespace boost::integer;
#endif
// Note that unmarked types (i.e. have no std::numeric_limits
// specialization) are treated like non/unsigned types
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(1u), static_cast<T>(1u)), static_cast<T>( 1u) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0u), static_cast<T>(0u)), static_cast<T>( 0u) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(6u), static_cast<T>(0u)), static_cast<T>( 0u) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(0u), static_cast<T>(7u)), static_cast<T>( 0u) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(18u), static_cast<T>(30u)), static_cast<T>(90u) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(3u), static_cast<T>(7u)), static_cast<T>(21u) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(8u), static_cast<T>(9u)), static_cast<T>(72u) );
BOOST_TEST_EQ( boost::integer::lcm(static_cast<T>(7u), static_cast<T>(49u)), static_cast<T>(49u) );
}
// LCM at compile-time
void lcm_static_test()
{
#ifndef BOOST_MSVC
using boost::integer::static_lcm;
#else
using namespace boost::integer;
#endif
// Can't use "BOOST_TEST_EQ", otherwise the "value" member will be
// disqualified as compile-time-only constant, needing explicit definition
BOOST_TEST( (static_lcm< 1, 1>::value) == 1 );
BOOST_TEST( (static_lcm< 0, 0>::value) == 0 );
BOOST_TEST( (static_lcm< 6, 0>::value) == 0 );
BOOST_TEST( (static_lcm< 0, 7>::value) == 0 );
BOOST_TEST( (static_lcm<18, 30>::value) == 90 );
BOOST_TEST( (static_lcm< 3, 7>::value) == 21 );
BOOST_TEST( (static_lcm< 8, 9>::value) == 72 );
BOOST_TEST( (static_lcm< 7, 49>::value) == 49 );
}
void variadics()
{
unsigned i[] = { 44, 56, 76, 88 };
BOOST_TEST_EQ(boost::integer::gcd_range(i, i + 4).first, 4);
BOOST_TEST_EQ(boost::integer::gcd_range(i, i + 4).second, i + 4);
BOOST_TEST_EQ(boost::integer::lcm_range(i, i + 4).first, 11704);
BOOST_TEST_EQ(boost::integer::lcm_range(i, i + 4).second, i + 4);
#ifndef BOOST_NO_CXX11_VARIADIC_TEMPLATES
BOOST_TEST_EQ(boost::integer::gcd(i[0], i[1], i[2], i[3]), 4);
BOOST_TEST_EQ(boost::integer::lcm(i[0], i[1], i[2], i[3]), 11704);
#endif
}
// Test case from Boost.Rational, need to make sure we don't break the rational lib:
template <class T> void gcd_and_lcm_on_rationals()
{
typedef boost::rational<T> rational;
BOOST_TEST_EQ(boost::integer::gcd(rational(1, 4), rational(1, 3)),
rational(1, 12));
BOOST_TEST_EQ(boost::integer::lcm(rational(1, 4), rational(1, 3)),
rational(1));
}
#ifndef DISABLE_MP_TESTS
#define TEST_SIGNED_( test ) \
test<signed char>(); \
test<short>(); \
test<int>(); \
test<long>(); \
test<MyInt1>(); \
test<boost::multiprecision::cpp_int>(); \
test<boost::multiprecision::int512_t>();
#else
#define TEST_SIGNED_( test ) \
test<signed char>(); \
test<short>(); \
test<int>(); \
test<long>(); \
test<MyInt1>();
#endif
#ifdef BOOST_HAS_LONG_LONG
# define TEST_SIGNED__( test ) \
TEST_SIGNED_( test ) \
test<boost::long_long_type>();
#elif defined(BOOST_HAS_MS_INT64)
# define TEST_SIGNED__( test ) \
TEST_SIGNED_( test ) \
test<__int64>();
#endif
#ifndef DISABLE_MP_TESTS
#define TEST_UNSIGNED_( test ) \
test<unsigned char>(); \
test<unsigned short>(); \
test<unsigned>(); \
test<unsigned long>(); \
test<MyUnsigned1>(); \
test<MyUnsigned2>(); \
test<boost::multiprecision::uint512_t>();
#else
#define TEST_UNSIGNED_( test ) \
test<unsigned char>(); \
test<unsigned short>(); \
test<unsigned>(); \
test<unsigned long>(); \
test<MyUnsigned1>(); \
test<MyUnsigned2>();
#endif
#ifdef BOOST_HAS_LONG_LONG
# define TEST_UNSIGNED( test ) \
TEST_UNSIGNED_( test ) \
test<boost::ulong_long_type>();
#elif defined(BOOST_HAS_MS_INT64)
# define TEST_UNSIGNED( test ) \
TEST_UNSIGNED_( test ) \
test<unsigned __int64>();
#endif
#ifdef BOOST_INTEGER_HAS_GMPXX_H
# define TEST_SIGNED(test)\
TEST_SIGNED__(test)\
test<mpz_class>();
# define TEST_SIGNED_NO_GMP(test) TEST_SIGNED__(test)
#else
# define TEST_SIGNED(test) TEST_SIGNED__(test)
# define TEST_SIGNED_NO_GMP(test) TEST_SIGNED__(test)
#endif
int main()
{
TEST_SIGNED(gcd_int_test)
gcd_unmarked_int_test();
TEST_UNSIGNED(gcd_unsigned_test)
gcd_static_test();
gcd_method_test();
TEST_SIGNED(lcm_int_test)
lcm_unmarked_int_test();
TEST_UNSIGNED(lcm_unsigned_test)
lcm_static_test();
variadics();
TEST_SIGNED_NO_GMP(gcd_and_lcm_on_rationals)
return boost::report_errors();
}

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// Copyright John Maddock 2012.
// Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#include <boost/integer.hpp>
#include <iostream>
int main()
{
std::cout << std::numeric_limits<boost::uint_t<65>::least>::digits;
return 0;
}

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// (C) Copyright John Maddock 2017.
// Distributed under the Boost Software License, Version 1.0. (See
// accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
#include <boost/integer/common_factor.hpp>
#ifndef BOOST_NO_CXX14_CONSTEXPR
void test_constexpr1()
{
constexpr const boost::int64_t i = 347 * 463 * 727;
constexpr const boost::int64_t j = 191 * 347 * 281;
constexpr const boost::int64_t k = boost::integer::gcd(i, j);
constexpr const boost::int64_t l = boost::integer::lcm(i, j);
static_assert(k == 347, "Expected result not integer in constexpr gcd.");
static_assert(l == 6268802158037, "Expected result not integer in constexpr lcm.");
}
void test_constexpr2()
{
constexpr const boost::uint64_t i = 347 * 463 * 727;
constexpr const boost::uint64_t j = 191 * 347 * 281;
constexpr const boost::uint64_t k = boost::integer::gcd(i, j);
constexpr const boost::uint64_t l = boost::integer::lcm(i, j);
static_assert(k == 347, "Expected result not integer in constexpr gcd.");
static_assert(l == 6268802158037, "Expected result not integer in constexpr lcm.");
}
void test_constexpr3()
{
constexpr const boost::uint64_t i = 347 * 463 * 727;
constexpr const boost::uint64_t j = 191 * 347 * 281;
constexpr const boost::uint64_t k = boost::integer::gcd_detail::Euclid_gcd(i, j);
static_assert(k == 347, "Expected result not integer in constexpr gcd.");
}
void test_constexpr4()
{
constexpr const boost::uint64_t i = 347 * 463 * 727;
constexpr const boost::uint64_t j = 191 * 347 * 281;
constexpr const boost::uint64_t k = boost::integer::gcd_detail::mixed_binary_gcd(i, j);
static_assert(k == 347, "Expected result not integer in constexpr gcd.");
}
void test_constexpr5()
{
constexpr const boost::uint64_t i = 347 * 463 * 727;
constexpr const boost::uint64_t j = 191 * 347 * 281;
constexpr const boost::uint64_t k = boost::integer::gcd_detail::Stein_gcd(i, j);
static_assert(k == 347, "Expected result not integer in constexpr gcd.");
}
#endif

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// (C) Copyright John Maddock 2017.
// Distributed under the Boost Software License, Version 1.0. (See
// accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
#include <boost/integer/common_factor.hpp>
#if !defined(BOOST_NO_CXX11_NOEXCEPT) && !defined(BOOST_NO_CXX11_HDR_TYPE_TRAITS)
//
// These tests don't pass with GCC-4.x:
//
#if !defined(BOOST_GCC) || (BOOST_GCC >= 50000)
void test_noexcept(unsigned char a, unsigned char b)
{
static_assert(noexcept(boost::integer::gcd(static_cast<unsigned char>(a), static_cast<unsigned char>(b))), "Expected a noexcept function.");
#ifndef _MSC_VER
// This generates an internal compiler error if enabled as well as the following test:
static_assert(noexcept(boost::integer::gcd(static_cast<char>(a), static_cast<char>(b))), "Expected a noexcept function.");
#endif
static_assert(noexcept(boost::integer::gcd(static_cast<signed char>(a), static_cast<signed char>(b))), "Expected a noexcept function.");
static_assert(noexcept(boost::integer::gcd(static_cast<short>(a), static_cast<short>(b))), "Expected a noexcept function.");
static_assert(noexcept(boost::integer::gcd(static_cast<unsigned short>(a), static_cast<unsigned short>(b))), "Expected a noexcept function.");
static_assert(noexcept(boost::integer::gcd(static_cast<int>(a), static_cast<int>(b))), "Expected a noexcept function.");
static_assert(noexcept(boost::integer::gcd(static_cast<unsigned int>(a), static_cast<unsigned int>(b))), "Expected a noexcept function.");
static_assert(noexcept(boost::integer::gcd(static_cast<long>(a), static_cast<long>(b))), "Expected a noexcept function.");
static_assert(noexcept(boost::integer::gcd(static_cast<unsigned long>(a), static_cast<unsigned long>(b))), "Expected a noexcept function.");
static_assert(noexcept(boost::integer::gcd(static_cast<long long>(a), static_cast<long long>(b))), "Expected a noexcept function.");
static_assert(noexcept(boost::integer::gcd(static_cast<unsigned long long>(a), static_cast<unsigned long long>(b))), "Expected a noexcept function.");
}
#endif
#endif

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// Copyright John Maddock 2008.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#include <gmpxx.h>

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@ -18,6 +18,7 @@
#include <boost/detail/lightweight_test.hpp> // for main, BOOST_TEST
#include <boost/integer.hpp> // for boost::int_t, boost::uint_t
#include <boost/type_traits/is_same.hpp>
#include <boost/mpl/bool.hpp> // for mpl::true_ and false_
#include <climits> // for ULONG_MAX, LONG_MAX, LONG_MIN
#include <iostream> // for std::cout (std::endl indirectly)