[third-party] Add a snapshot of Boost.Math 1.88 standalone

This PR adds the code of Boost.Math as of version 1.88 into the
third-party directory. This PR is a support in the licensing
discussion that needs to happen due to the code being under the
Boost Software License as opposed to the LLVM license, according
to the LLVM Developer Policy: https://llvm.org/docs/DeveloperPolicy.html#copyright-license-and-patents

The end goal of adding this code into the third-party directory is
to use it as a basis for implementing the Math Special Functions, a
feature that has been missing from libc++ for very long. This was
previously discussed in https://reviews.llvm.org/D142806 where we
got stuck on the need to get the license cleared, which I am now
bringing up for discussion again after a long hiatus.

Author: ldionne

third-party/boost-math/.circleci/config.yml

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+version: 2
+
+jobs:
+  inspect:
+    environment:
+      - BOOST_LIBRARY=math
+      - CXX_STANDARD=gnu++11
+    docker:
+      - image: gcc:9
+    steps:
+      - checkout
+      - run:
+          name: Setting up Environment
+          command: |
+            echo 'export BOOST="$HOME/boost-local"' >> $BASH_ENV
+            if [ $CIRCLE_BRANCH = "master" ]; then
+                echo 'export BOOST_BRANCH="master"' >> $BASH_ENV;
+            else
+                echo 'export BOOST_BRANCH="develop"' >> $BASH_ENV;
+            fi
+            echo 'export BOOST_REMOVE="$BOOST/boost/libs/$BOOST_LIBRARY"' >> $BASH_ENV
+            HOME_SED_=$(echo $HOME | sed -e 's/\//\\\//g')
+            echo 'export HOME_SED=$HOME_SED_' >> $BASH_ENV
+      - run:
+          name: install pre dependencies
+          command: |
+            apt-get update -yqq
+            apt-get install git xsltproc docbook-xsl docbook-xml -y
+      - run:
+          name: Initializing git repo for boost
+          command: |
+            echo BOOST=$BOOST BOOST_REMOVE=$BOOST_REMOVE BOOST_LIBRARY=$BOOST_LIBRARY BOOST_BRANCH=$BOOST_BRANCH PWD=$PWD
+            mkdir $BOOST
+            cd $BOOST
+            git clone --single-branch --branch $BOOST_BRANCH https://github.com/boostorg/boost.git
+            cd boost
+            git submodule update --init --merge
+            rm -rf $BOOST_REMOVE
+            mv $HOME/project $BOOST_REMOVE
+      - run:
+          name: Bootstrapping boost-build
+          command: |
+            cd $BOOST/boost && ./bootstrap.sh && ./b2 headers
+            echo "using xsltproc ;" | tee $HOME/user-config.jam
+            echo "using boostbook : /usr/share/xml/docbook/stylesheet/docbook-xsl : /usr/share/sgml/docbook/dtd/xml/4.2 ;" | tee -a $HOME/user-config.jam
+      - run:
+          name: Building inspect
+          command: |
+            cd $BOOST/boost/tools/inspect/build && ../../../b2 -j2 address-model=64 architecture=x86 toolset=gcc cxxflags="-std=gnu++14" release dist-bin
+      - run:
+          name: Building docs
+          command: |
+            cd $BOOST_REMOVE/doc && rm -rf html/boost_math && ../../../b2 -j2 address-model=64 architecture=x86 toolset=gcc cxxflags="-std=gnu++14" release
+      - run:
+          name: Running Inspect
+          command: |
+            cd $BOOST_REMOVE && ../../dist/bin/inspect -text
+workflows:
+  version: 2
+  build_and_test:
+    jobs:
+      - inspect

third-party/boost-math/.codecov.yml

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+# Copyright 2019 - 2021 Alexander Grund
+# 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)
+#
+# Sample codecov configuration file. Edit as required
+
+codecov:
+  max_report_age: off
+  require_ci_to_pass: yes
+  notify:
+    # Increase this if you have multiple coverage collection jobs
+    after_n_builds: 1
+    wait_for_ci: yes
+
+# Change how pull request comments look
+comment:
+  layout: "reach,diff,flags,files,footer"
+
+# Ignore specific files or folders. Glob patterns are supported.
+# See https://docs.codecov.com/docs/ignoring-paths
+ignore:
+  - extra/**/*
+  - reporting/**/*
+  - example/**/*
+  - include_private/**/*
+  - tools/**/*

third-party/boost-math/.drone.star

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+# Use, modification, and distribution are
+# subject to the Boost Software License, Version 1.0. (See accompanying
+# file LICENSE.txt)
+#
+# Copyright Rene Rivera 2020.
+# Copyright John Maddock 2021.
+
+# For Drone CI we use the Starlark scripting language to reduce duplication.
+# As the yaml syntax for Drone CI is rather limited.
+#
+#
+globalenv={}
+linuxglobalimage="cppalliance/droneubuntu1604:1"
+windowsglobalimage="cppalliance/dronevs2019"
+
+def main(ctx):
+
+  things_to_test = [ "special_fun", "distribution_tests", "mp", "misc", "interpolators", "quadrature", "autodiff", "long-running-tests", "float128_tests", "concepts" ]
+  gcc13_things_to_test = [ "special_fun", "distribution_tests", "mp", "misc", "interpolators", "quadrature", "autodiff", "long-running-tests", "float128_tests", "concepts", "new_floats" ]
+  sanitizer_test = [ "special_fun", "distribution_tests", "misc", "interpolators", "quadrature", "float128_tests" ]
+  gnu_5_stds = [ "gnu++14", "c++14" ]
+  gnu_6_stds = [ "gnu++14", "c++14", "gnu++17", "c++17" ]
+  clang_6_stds = [ "c++14", "c++17" ]
+  gnu_9_stds = [ "gnu++14", "c++14", "gnu++17", "c++17", "gnu++2a", "c++2a" ]
+  clang_10_stds = [ "c++14", "c++17", "c++2a" ]
+  gnu_non_native = [ "gnu++17" ]
+  gcc13_stds = [ "c++23" ]
+
+  result = []
+
+  for suite in sanitizer_test:
+    #
+    # Sanitizers:
+    #
+    result.append(linux_cxx("Ubuntu Clang-18 C++20 ASAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '<cxxflags>-fsanitize=address <linkflags>-fsanitize=address <cxxflags>-DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv))
+    result.append(linux_cxx("Ubuntu Clang-18 C++20 USAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '<cxxflags>-fsanitize=undefined <linkflags>-fsanitize=undefined <cxxflags>-DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv))
+    result.append(linux_cxx("Ubuntu Clang-18 C++20 TSAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '<cxxflags>-fsanitize=thread <linkflags>-fsanitize=thread <cxxflags>-DBOOST_CI_SANITIZER_BUILD' }, globalenv=globalenv))
+    result.append(linux_cxx("Ubuntu Clang-18 C++20 ISAN" + " " + suite, "clang++-18", packages="clang-18", privileged=True, buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-18', 'CXXSTD': 'gnu++20', 'TEST_SUITE': suite, 'OPTIONS': '<cxxflags>-fsanitize=integer <linkflags>-fsanitize=integer' }, globalenv=globalenv))
+
+  for suite in things_to_test:
+    for cxx in gnu_5_stds:
+      result.append(linux_cxx("Ubuntu g++-5 " + cxx + " " + suite, "g++-5", packages="g++-5", buildtype="boost", image="cppalliance/droneubuntu1804:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-5', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+    for cxx in gnu_6_stds:
+      result.append(linux_cxx("Ubuntu g++-6 " + cxx + " " + suite, "g++-6", packages="g++-6", buildtype="boost", image="cppalliance/droneubuntu1804:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-6', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+      result.append(linux_cxx("Ubuntu g++-7 " + cxx + " " + suite, "g++-7", packages="g++-7", buildtype="boost", image="cppalliance/droneubuntu1804:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-7', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+      result.append(linux_cxx("Ubuntu g++-8 " + cxx + " " + suite, "g++-8", packages="g++-8", buildtype="boost", image="cppalliance/droneubuntu2004:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-8', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+      result.append(linux_cxx("Ubuntu g++-9 " + cxx + " " + suite, "g++-9", packages="g++-9", buildtype="boost", image="cppalliance/droneubuntu2004:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-9', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+    for cxx in clang_6_stds:
+      result.append(linux_cxx("Ubuntu clang++-6 " + cxx + " " + suite, "clang++-6.0", packages="clang-6.0", llvm_os="xenial", llvm_ver="6.0", buildtype="boost", image="cppalliance/droneubuntu1804:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-6.0', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+      result.append(linux_cxx("Ubuntu clang++-7 " + cxx + " " + suite, "clang++-7", packages="clang-7", llvm_os="xenial", llvm_ver="7", buildtype="boost", image="cppalliance/droneubuntu1804:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-7', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+      result.append(linux_cxx("Ubuntu clang++-8 " + cxx + " " + suite, "clang++-8", packages="clang-8", llvm_os="xenial", llvm_ver="8", buildtype="boost", image="cppalliance/droneubuntu1804:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-8', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+      result.append(linux_cxx("Ubuntu clang++-9 " + cxx + " " + suite, "clang++-9", packages="clang-9", llvm_os="xenial", llvm_ver="9", buildtype="boost", image="cppalliance/droneubuntu1804:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-9', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+    for cxx in gnu_9_stds:
+      result.append(linux_cxx("Ubuntu g++-10 " + cxx + " " + suite, "g++-10", packages="g++-10", buildtype="boost", image="cppalliance/droneubuntu2004:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-10', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+      result.append(linux_cxx("Ubuntu g++-11 " + cxx + " " + suite, "g++-11", packages="g++-11", buildtype="boost", image="cppalliance/droneubuntu2004:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-11', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+    for cxx in clang_10_stds:
+      result.append(linux_cxx("Ubuntu clang++-10 " + cxx + " " + suite, "clang++-10", packages="clang-10", llvm_os="xenial", llvm_ver="10", buildtype="boost", image="cppalliance/droneubuntu1804:1", environment={'TOOLSET': 'clang', 'COMPILER': 'clang++-10', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+    for cxx in gnu_non_native:
+      result.append(linux_cxx("Ubuntu g++ s390s " + cxx + " " + suite, "g++", packages="g++", buildtype="boost", image="cppalliance/droneubuntu2204:multiarch", arch="s390x", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+    for cxx in gnu_non_native:
+      result.append(linux_cxx("Ubuntu g++ ARM64" + cxx + " " + suite, "g++", packages="g++", buildtype="boost", image="cppalliance/droneubuntu2204:multiarch", arch="arm64", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+    for cxx in gnu_non_native:
+      result.append(osx_cxx("M1 Clang " + cxx + " " + suite, "clang++", buildscript="drone", buildtype="boost", xcode_version="14.1", environment={'TOOLSET': 'clang', 'CXXSTD': cxx, 'TEST_SUITE': suite, 'DEFINE': 'BOOST_MATH_NO_REAL_CONCEPT_TESTS,BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS,BOOST_MATH_MULTI_ARCH_CI_RUN', }, globalenv=globalenv))
+  for suite in gcc13_things_to_test:
+    for cxx in gcc13_stds:
+      result.append(linux_cxx("Ubuntu g++-13 " + cxx + " " + suite, "g++-13", packages="g++-13", buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-13', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+      result.append(linux_cxx("Ubuntu g++-14 " + cxx + " " + suite, "g++-14", packages="g++-14", buildtype="boost", image="cppalliance/droneubuntu2404:1", environment={'TOOLSET': 'gcc', 'COMPILER': 'g++-14', 'CXXSTD': cxx, 'TEST_SUITE': suite, }, globalenv=globalenv))
+
+  return result
+
+# from https://github.com/boostorg/boost-ci
+load("@boost_ci//ci/drone/:functions.star", "linux_cxx","windows_cxx","osx_cxx","freebsd_cxx")

third-party/boost-math/.drone/after-success.sh

@@ -0,0 +1,3 @@
+#!/bin/bash
+
+

third-party/boost-math/.drone/before-install.sh

@@ -0,0 +1,3 @@
+#!/bin/bash
+
+

third-party/boost-math/.drone/before-script.sh

@@ -0,0 +1,3 @@
+#!/bin/bash
+
+

third-party/boost-math/.drone/boost.sh

@@ -0,0 +1,48 @@
+#!/bin/bash
+
+set -ex
+export TRAVIS_BUILD_DIR=$(pwd)
+export DRONE_BUILD_DIR=$(pwd)
+export TRAVIS_BRANCH=$DRONE_BRANCH
+export VCS_COMMIT_ID=$DRONE_COMMIT
+export GIT_COMMIT=$DRONE_COMMIT
+export PATH=~/.local/bin:/usr/local/bin:$PATH
+
+echo '==================================> BEFORE_INSTALL'
+
+. .drone/before-install.sh
+
+echo '==================================> INSTALL'
+
+cd ..
+if [ "$DRONE_BRANCH" == "master" ] || [[ "$DRONE_BRANCH" == */master ]]; then
+    export BOOST_BRANCH="master"
+else
+    export BOOST_BRANCH="develop"
+fi
+git clone -b $BOOST_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/polygon
+git submodule update --init tools/boost_install
+git submodule update --init libs/headers
+git submodule update --init tools/boostdep
+cp -r $TRAVIS_BUILD_DIR/* libs/math
+python tools/boostdep/depinst/depinst.py math
+./bootstrap.sh
+./b2 headers
+
+echo '==================================> BEFORE_SCRIPT'
+
+. $DRONE_BUILD_DIR/.drone/before-script.sh
+
+echo '==================================> SCRIPT'
+
+echo "using $TOOLSET : : $COMPILER : <cxxflags>-std=$CXXSTD $OPTIONS ;" > ~/user-config.jam
+(cd libs/config/test && ../../../b2 print_config_info print_math_info toolset=$TOOLSET)
+(cd libs/math/test && ../../../b2 -j3 toolset=$TOOLSET $TEST_SUITE)
+
+echo '==================================> AFTER_SUCCESS'
+
+. $DRONE_BUILD_DIR/.drone/after-success.sh

third-party/boost-math/.drone/drone.sh

@@ -0,0 +1,59 @@
+# Use, modification, and distribution are
+# subject to the Boost Software License, Version 1.0. (See accompanying
+# file LICENSE.txt)
+#
+# Copyright Rene Rivera 2020.
+# Copyright John Maddock 2021.
+
+#!/bin/bash
+
+set -ex
+export TRAVIS_BUILD_DIR=$(pwd)
+export DRONE_BUILD_DIR=$(pwd)
+export TRAVIS_BRANCH=$DRONE_BRANCH
+export VCS_COMMIT_ID=$DRONE_COMMIT
+export GIT_COMMIT=$DRONE_COMMIT
+export PATH=~/.local/bin:/usr/local/bin:$PATH
+
+echo '==================================> BEFORE_INSTALL'
+
+. .drone/before-install.sh
+
+echo '==================================> INSTALL'
+
+cd ..
+if [ "$DRONE_BRANCH" == "master" ] || [[ "$DRONE_BRANCH" == */master ]]; then
+    export BOOST_BRANCH="master"
+else
+    export BOOST_BRANCH="develop"
+fi
+git clone -b $BOOST_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/polygon
+git submodule update --init tools/boost_install
+git submodule update --init libs/headers
+git submodule update --init tools/boostdep
+cp -r $TRAVIS_BUILD_DIR/* libs/math
+python tools/boostdep/depinst/depinst.py math
+./bootstrap.sh
+./b2 headers
+
+if [[ $(uname) == "Linux" ]]; then
+    echo 0 | sudo tee /proc/sys/kernel/randomize_va_space
+fi
+
+echo '==================================> BEFORE_SCRIPT'
+
+. $DRONE_BUILD_DIR/.drone/before-script.sh
+
+echo '==================================> SCRIPT'
+
+echo "using $TOOLSET : : $COMPILER : <cxxflags>-std=$CXXSTD $OPTIONS ;" > ~/user-config.jam
+(cd libs/config/test && ../../../b2 config_info_travis_install toolset=$TOOLSET && ./config_info_travis)
+(cd libs/math/test && ../../../b2 toolset=$TOOLSET $TEST_SUITE define=$DEFINE)
+
+echo '==================================> AFTER_SUCCESS'
+
+. $DRONE_BUILD_DIR/.drone/after-success.sh

third-party/boost-math/.gitattributes

@@ -0,0 +1,96 @@
+* text=auto !eol svneol=native#text/plain
+*.gitattributes text svneol=native#text/plain
+
+# Scriptish formats
+*.bat        text svneol=native#text/plain
+*.bsh        text svneol=native#text/x-beanshell
+*.cgi        text svneol=native#text/plain
+*.cmd        text svneol=native#text/plain
+*.js         text svneol=native#text/javascript
+*.php        text svneol=native#text/x-php
+*.pl         text svneol=native#text/x-perl
+*.pm         text svneol=native#text/x-perl
+*.py         text svneol=native#text/x-python
+*.sh         eol=lf svneol=LF#text/x-sh
+configure    eol=lf svneol=LF#text/x-sh
+
+# Image formats
+*.bmp        binary svneol=unset#image/bmp
+*.gif        binary svneol=unset#image/gif
+*.ico        binary svneol=unset#image/ico
+*.jpeg       binary svneol=unset#image/jpeg
+*.jpg        binary svneol=unset#image/jpeg
+*.png        binary svneol=unset#image/png
+*.tif        binary svneol=unset#image/tiff
+*.tiff       binary svneol=unset#image/tiff
+*.svg        text svneol=native#image/svg%2Bxml
+
+# Data formats
+*.pdf        binary svneol=unset#application/pdf
+*.avi        binary svneol=unset#video/avi
+*.doc        binary svneol=unset#application/msword
+*.dsp        text svneol=crlf#text/plain
+*.dsw        text svneol=crlf#text/plain
+*.eps        binary svneol=unset#application/postscript
+*.gz         binary svneol=unset#application/gzip
+*.mov        binary svneol=unset#video/quicktime
+*.mp3        binary svneol=unset#audio/mpeg
+*.ppt        binary svneol=unset#application/vnd.ms-powerpoint
+*.ps         binary svneol=unset#application/postscript
+*.psd        binary svneol=unset#application/photoshop
+*.rdf        binary svneol=unset#text/rdf
+*.rss        text svneol=unset#text/xml
+*.rtf        binary svneol=unset#text/rtf
+*.sln        text svneol=native#text/plain
+*.swf        binary svneol=unset#application/x-shockwave-flash
+*.tgz        binary svneol=unset#application/gzip
+*.vcproj     text svneol=native#text/xml
+*.vcxproj    text svneol=native#text/xml
+*.vsprops    text svneol=native#text/xml
+*.wav        binary svneol=unset#audio/wav
+*.xls        binary svneol=unset#application/vnd.ms-excel
+*.zip        binary svneol=unset#application/zip
+
+# Text formats
+.htaccess    text svneol=native#text/plain
+*.bbk        text svneol=native#text/xml
+*.cmake      text svneol=native#text/plain
+*.css        text svneol=native#text/css
+*.dtd        text svneol=native#text/xml
+*.htm        text svneol=native#text/html
+*.html       text svneol=native#text/html
+*.ini        text svneol=native#text/plain
+*.log        text svneol=native#text/plain
+*.mak        text svneol=native#text/plain
+*.qbk        text svneol=native#text/plain
+*.rst        text svneol=native#text/plain
+*.sql        text svneol=native#text/x-sql
+*.txt        text svneol=native#text/plain
+*.xhtml      text svneol=native#text/xhtml%2Bxml
+*.xml        text svneol=native#text/xml
+*.xsd        text svneol=native#text/xml
+*.xsl        text svneol=native#text/xml
+*.xslt       text svneol=native#text/xml
+*.xul        text svneol=native#text/xul
+*.yml        text svneol=native#text/plain
+boost-no-inspect text svneol=native#text/plain
+CHANGES      text svneol=native#text/plain
+COPYING      text svneol=native#text/plain
+INSTALL      text svneol=native#text/plain
+Jamfile      text svneol=native#text/plain
+Jamroot      text svneol=native#text/plain
+Jamfile.v2   text svneol=native#text/plain
+Jamrules     text svneol=native#text/plain
+Makefile*    text svneol=native#text/plain
+README       text svneol=native#text/plain
+TODO         text svneol=native#text/plain
+
+# Code formats
+*.c          text svneol=native#text/plain
+*.cpp        text svneol=native#text/plain
+*.h          text svneol=native#text/plain
+*.hpp        text svneol=native#text/plain
+*.ipp        text svneol=native#text/plain
+*.tpp        text svneol=native#text/plain
+*.jam        text svneol=native#text/plain
+*.java       text svneol=native#text/plain