Created attachment 46090 [details] The initial state in combination with the incorrect carry computation makes the PRNG enter the unescapable all zero state. The carry inside `std::subtract_with_carry_engine` is computed incorrectly if word_size == std::numeric_limits<result_type>::digits. The bug can be triggered neither by std::ranlux24 nor by std::ranlux48. The bug occurs with GCC 7.3.0, GCC 8.2.0, and Clang when using the GNU Standard C++ Library shipping with GCC 7.3.0. $ gcc --version gcc (Gentoo 7.3.0-r3 p1.4) 7.3.0 Copyright (C) 2017 Free Software Foundation, Inc. This is free software; see the source for copying conditions. There is NO warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. $ g++-7.3.0 -Wextra -Wall -std=c++11 -pedantic -v -save-temps ~/libstdcxx-swc-bug.cpp Using built-in specs. COLLECT_GCC=g++-7.3.0 COLLECT_LTO_WRAPPER=/usr/libexec/gcc/x86_64-pc-linux-gnu/7.3.0/lto-wrapper Target: x86_64-pc-linux-gnu Configured with: /var/tmp/portage/sys-devel/gcc-7.3.0-r3/work/gcc-7.3.0/configure --host=x86_64-pc-linux-gnu --build=x86_64-pc-linux-gnu --prefix=/usr --bindir=/usr/x86_64-pc-linux-gnu/gcc-bin/7.3.0 --includedir=/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/include --datadir=/usr/share/gcc-data/x86_64-pc-linux-gnu/7.3.0 --mandir=/usr/share/gcc-data/x86_64-pc-linux-gnu/7.3.0/man --infodir=/usr/share/gcc-data/x86_64-pc-linux-gnu/7.3.0/info --with-gxx-include-dir=/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/include/g++-v7 --with-python-dir=/share/gcc-data/x86_64-pc-linux-gnu/7.3.0/python --enable-languages=c,c++,fortran --enable-obsolete --enable-secureplt --disable-werror --with-system-zlib --enable-nls --without-included-gettext --enable-checking=release --with-bugurl=https://bugs.gentoo.org/ --with-pkgversion='Gentoo 7.3.0-r3 p1.4' --disable-esp --enable-libstdcxx-time --enable-shared --enable-threads=posix --enable-__cxa_atexit --enable-clocale=gnu --disable-multilib --with-multilib-list=m64 --disable-altivec --disable-fixed-point --enable-targets=all --enable-libgomp --disable-libmudflap --disable-libssp --disable-libcilkrts --disable-libmpx --enable-vtable-verify --enable-libvtv --enable-lto --without-isl --enable-libsanitizer --enable-default-pie --enable-default-ssp Thread model: posix gcc version 7.3.0 (Gentoo 7.3.0-r3 p1.4) COLLECT_GCC_OPTIONS='-Wextra' '-Wall' '-std=c++11' '-Wpedantic' '-v' '-save-temps' '-shared-libgcc' '-mtune=generic' '-march=x86-64' /usr/libexec/gcc/x86_64-pc-linux-gnu/7.3.0/cc1plus -E -quiet -v -D_GNU_SOURCE /home/starfish/libstdcxx-swc-bug.cpp -mtune=generic -march=x86-64 -std=c++11 -Wextra -Wall -Wpedantic -fpch-preprocess -o libstdcxx-swc-bug.ii ignoring nonexistent directory "/usr/local/include" ignoring nonexistent directory "/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../x86_64-pc-linux-gnu/include" #include "..." search starts here: #include <...> search starts here: /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/include/g++-v7 /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/include/g++-v7/x86_64-pc-linux-gnu /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/include/g++-v7/backward /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/include /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/include-fixed /usr/include End of search list. COLLECT_GCC_OPTIONS='-Wextra' '-Wall' '-std=c++11' '-Wpedantic' '-v' '-save-temps' '-shared-libgcc' '-mtune=generic' '-march=x86-64' /usr/libexec/gcc/x86_64-pc-linux-gnu/7.3.0/cc1plus -fpreprocessed libstdcxx-swc-bug.ii -quiet -dumpbase libstdcxx-swc-bug.cpp -mtune=generic -march=x86-64 -auxbase libstdcxx-swc-bug -Wextra -Wall -Wpedantic -std=c++11 -version -o libstdcxx-swc-bug.s GNU C++11 (Gentoo 7.3.0-r3 p1.4) version 7.3.0 (x86_64-pc-linux-gnu) compiled by GNU C version 7.3.0, GMP version 6.1.2, MPFR version 3.1.6, MPC version 1.0.3, isl version none GGC heuristics: --param ggc-min-expand=100 --param ggc-min-heapsize=131072 GNU C++11 (Gentoo 7.3.0-r3 p1.4) version 7.3.0 (x86_64-pc-linux-gnu) compiled by GNU C version 7.3.0, GMP version 6.1.2, MPFR version 3.1.6, MPC version 1.0.3, isl version none GGC heuristics: --param ggc-min-expand=100 --param ggc-min-heapsize=131072 Compiler executable checksum: 09ac773f85349e020b5b36ead38f9924 COLLECT_GCC_OPTIONS='-Wextra' '-Wall' '-std=c++11' '-Wpedantic' '-v' '-save-temps' '-shared-libgcc' '-mtune=generic' '-march=x86-64' /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../x86_64-pc-linux-gnu/bin/as -v --64 -o libstdcxx-swc-bug.o libstdcxx-swc-bug.s GNU assembler version 2.30.0 (x86_64-pc-linux-gnu) using BFD version (Gentoo 2.30 p5) 2.30.0 COMPILER_PATH=/usr/libexec/gcc/x86_64-pc-linux-gnu/7.3.0/:/usr/libexec/gcc/x86_64-pc-linux-gnu/7.3.0/:/usr/libexec/gcc/x86_64-pc-linux-gnu/:/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/:/usr/lib/gcc/x86_64-pc-linux-gnu/:/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../x86_64-pc-linux-gnu/bin/ LIBRARY_PATH=/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/:/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../lib64/:/lib/../lib64/:/usr/lib/../lib64/:/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../x86_64-pc-linux-gnu/lib/:/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../:/lib/:/usr/lib/ COLLECT_GCC_OPTIONS='-Wextra' '-Wall' '-std=c++11' '-Wpedantic' '-v' '-save-temps' '-shared-libgcc' '-mtune=generic' '-march=x86-64' /usr/libexec/gcc/x86_64-pc-linux-gnu/7.3.0/collect2 -plugin /usr/libexec/gcc/x86_64-pc-linux-gnu/7.3.0/liblto_plugin.so -plugin-opt=/usr/libexec/gcc/x86_64-pc-linux-gnu/7.3.0/lto-wrapper -plugin-opt=-fresolution=libstdcxx-swc-bug.res -plugin-opt=-pass-through=-lgcc_s -plugin-opt=-pass-through=-lgcc -plugin-opt=-pass-through=-lc -plugin-opt=-pass-through=-lgcc_s -plugin-opt=-pass-through=-lgcc --eh-frame-hdr -m elf_x86_64 -dynamic-linker /lib64/ld-linux-x86-64.so.2 -pie /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../lib64/Scrt1.o /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../lib64/crti.o /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/crtbeginS.o -L/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0 -L/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../lib64 -L/lib/../lib64 -L/usr/lib/../lib64 -L/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../x86_64-pc-linux-gnu/lib -L/usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../.. libstdcxx-swc-bug.o -lstdc++ -lm -lgcc_s -lgcc -lc -lgcc_s -lgcc /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/crtendS.o /usr/lib/gcc/x86_64-pc-linux-gnu/7.3.0/../../../../lib64/crtn.o COLLECT_GCC_OPTIONS='-Wextra' '-Wall' '-std=c++11' '-Wpedantic' '-v' '-save-temps' '-shared-libgcc' '-mtune=generic' '-march=x86-64'
There is no attachment with the preprocessed code demonstrating the problem because the this code is 1.2 MB large.
(In reply to Christoph Conrads from comment #1) > There is no attachment with the preprocessed code demonstrating the problem > because the this code is 1.2 MB large. That's OK in this case as you code doesn't depend on anything except standard library headers.
LLVM's libc++ does not go into the 0 loop but still does not do a good job: 4294967295 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 4294967295 1 0 0 0 0 0 4294967295 4294967295 1 0 0 0 0 4294967295 4294967295 4294967295 1 0 0 0 4294967295 4294967295 4294967295 4294967294 0 0 0 4294967295 4294967295 4294967295 4294967294 4294967295 0 0 4294967295 4294967295 4294967295 4294967294 4294967295 4294967295 0 4294967295 4294967295 4294967295 4294967294 4294967295 4294967295 4294967294 0 4294967295 4294967295 4294967294 4294967295 4294967295 4294967294 0 0 4294967295 4294967294 4294967295 4294967295 4294967294 0 0 0 4294967294 4294967295 4294967295 4294967294 0 0 4294967295 1 While libstdc++ does seems to get into a loop: 4294967295 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 4
> LLVM's libc++ does not go into the 0 loop but still does not do a good job: The subtract-with-carry PRNG is a simple PRNG, it has a very long period whose length can be proved with elementary number theory but the randomness properties of an SWC on its own are bad which is why you have to discard a lot of values. For reference, std::ranlux48 uses about 11 out of 389 values and you can detect (self-advertisement: it discards much less variates if you you use my parameters: b=32, s=2, r=13, see https://github.com/boostorg/random/issues/57). Here are the random values are drawing 100 times: 114294 141465 4294632814 252684 106646 4294497449 475286 Here are the random values after drawing 1000 times: 3844519667 4029384828 773557245 3005408692 1891078342 2314767096 2602358454 After drawing 2000 times: 671901017 3735908022 2276383719 2942324048 2197640583 3544339665 2823890385