Add unit tests to show Tree_Hdagg bug for certain input matrices

[learning-chip]

A more clear demonstration of #9

• Modify example/SpTRSV_runtime.cpp so it throws error as reported in Invalid vector size bug during Tree-HDagg partitioning for certain input matrices #9
• Add Catch_tests/hdagg_tests.cpp to sweep over many input random matrices. 36 out of 768 test cases fail.
• Add the above unit test to github workflow for better CI. Here is an example run.

To run:

cmake -B build_debug -DCMAKE_BUILD_TYPE=Debug
cmake --build build_debug --target hdagg_tests
./build_debug/Catch_tests/hdagg_tests -s  # show all cases
./build_debug/Catch_tests/hdagg_tests -r compact  # only show failed cases

The test sweeps over combinations of (n, density, seed, use_metis, nthreads, bin_pack) via Catch generators:

auto n = GENERATE(20, 50, 100, 200);
auto density = GENERATE(0.05, 0.1, 0.2, 0.5);
auto seed = GENERATE(1U, 2U, 3U);
bool use_metis = GENERATE(false, true);
int nthreads = GENERATE(2, 4);
auto bin_pack = GENERATE(false, true);

The failed ones are:

/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 20; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 20; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 20; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 20; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 20; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 1' and 'nthreads = 2' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 20; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 1' and 'nthreads = 2' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 20; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 1' and 'nthreads = 4' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 20; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 1' and 'nthreads = 4' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 1' and 'nthreads = 2' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 1' and 'nthreads = 2' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 1' and 'nthreads = 4' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 1' and 'nthreads = 4' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 3'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 3'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 3'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 50; density = 0.5; seed = 3'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.2; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.2; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.2; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.2; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.5; seed = 1'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 100; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 200; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 200; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 2' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 200; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 0' and 'cannot create std::vector larger than max_size()'
/workdir/Catch_tests/hdagg_tests.cpp:56: failed: unexpected exception with message: 'n = 200; density = 0.5; seed = 2'; expression was: {Unknown expression after the reported line} with 4 messages: 'use_metis = 0' and 'nthreads = 4' and 'bin_pack = 1' and 'cannot create std::vector larger than max_size()'
Failed 1 test case, failed 36 assertions.

In summary, failed cases are (n, density, seed, use_metis) = :

• (20, 0.5, 2, false/true)
• (50, 0.5, 1, false/true)
• (50, 0.5, 3, false)
• (100, 0.2, 2, false)
• (100, 0.5, 1/2, false)
• (200, 0.5, 2, false)

So it seems like, denser patterns are more likely to trigger bugs (no bugs for density = 0.05 or 0.1); and the cases with Metis are less likely to trigger bugs than without Metis. The choice of nthreads and bin_pack does not affect the bug (except that nthreads = 1 will fail due to #5 (comment)).

This PR is not intended to be merged right away. It is aimed as an example for fixing #9. After the bug is fixed, the unit tests can be added to enhance code robustness.