Tester fixes

[mgates3]

In run_tests, renames cond to condest, and add cond option.
Fix testers for herk, syrk, her2k, syr2k to take n-by-k. It was passing m-by-n.

For xsmall matrix sizes, CholQR needs a smaller condition number to pass. Previously failing runs:

./run_tests.py --xsmall --type s,d,z
...
--------------------------------------------------------------------------------
./tester  --origin s --target t --ref n --nb 5,8 --lookahead 1 --dim 10 --dim 20x10 --trans n,c --method-gels cholqr --matrix svd --cond 1e3 --type s,c gels
% SLATE version 2023.11.05, id de5d2ec2
% input: ./tester --origin s --target t --ref n --nb 5,8 --lookahead 1 --dim 10 --dim 20x10 --trans n,c --method-gels cholqr --matrix svd --cond 1e3 --type s,c gels
% 2024-05-27 11:44:42, 1 MPI ranks, CPU-only MPI, 4 OpenMP threads per MPI rank
                                                                                                                                                                                                          
 A   B   C  type  origin  target  cholQR    gels    trans       m       n    nrhs    nb  ib    p    q  la  pt  leastsqr  min norm  residual   time (s)       gflop/s  ref time (s)   ref gflop/s  status  
 1   2   2     s  scalpk    task    auto  CholQR  notrans      10      10      10     5  32    1    1   1   2  2.55e-06        NA  5.34e-07   0.000303        0.0161            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR  notrans      10      10      10     8  32    1    1   1   2  7.14e-06        NA  1.14e-06   0.000263        0.0186            NA            NA  FAILED  
 1   2   2     s  scalpk    task    auto  CholQR  notrans      20      10      10     5  32    1    1   1   2  3.50e-07        NA  3.34e-07   0.000266        0.0413            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR  notrans      20      10      10     8  32    1    1   1   2  1.55e-06        NA  6.43e-07   0.000290        0.0379            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR     conj      10      10      10     5  32    1    1   1   2  9.53e-07        NA  5.38e-07   0.000179        0.0273            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR     conj      10      10      10     8  32    1    1   1   2  6.91e-07        NA  1.85e-07   0.000343        0.0142            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR     conj      20      10      10     5  32    1    1   1   2        NA  8.31e-07  1.24e-07   0.000296        0.0371            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR     conj      20      10      10     8  32    1    1   1   2        NA  2.80e-07  1.63e-07   0.000278        0.0395            NA            NA  pass    

 1   2   2     c  scalpk    task    auto  CholQR  notrans      10      10      10     5  32    1    1   1   2  3.09e-06        NA  5.99e-07   0.000275        0.0734            NA            NA  FAILED  
 1   2   2     c  scalpk    task    auto  CholQR  notrans      10      10      10     8  32    1    1   1   2  1.84e-06        NA  4.45e-07   0.000203        0.0994            NA            NA  pass    
 1   2   2     c  scalpk    task    auto  CholQR  notrans      20      10      10     5  32    1    1   1   2  1.26e-06        NA  5.09e-07   0.000216         0.207            NA            NA  pass    
 1   2   2     c  scalpk    task    auto  CholQR  notrans      20      10      10     8  32    1    1   1   2  1.17e-06        NA  3.46e-07   0.000261         0.172            NA            NA  pass    
 1   2   2     c  scalpk    task    auto  CholQR     conj      10      10      10     5  32    1    1   1   2  3.34e-06        NA  1.05e-06   0.000204        0.0989            NA            NA  FAILED  
 1   2   2     c  scalpk    task    auto  CholQR     conj      10      10      10     8  32    1    1   1   2  2.61e-06        NA  4.55e-07   0.000185         0.109            NA            NA  pass    
 1   2   2     c  scalpk    task    auto  CholQR     conj      20      10      10     5  32    1    1   1   2        NA  1.87e-06  2.14e-07   0.000191         0.234            NA            NA  pass    
 1   2   2     c  scalpk    task    auto  CholQR     conj      20      10      10     8  32    1    1   1   2        NA  1.44e-06  4.01e-07   0.000227         0.197            NA            NA  pass    

% Matrix kinds:
%  1: svd, cond = 1000
%  2: rand, cond unknown

% 3 tests FAILED: gels
FAILED: gels, exit code 3
--------------------------------------------------------------------------------
./tester  --origin s --target t --ref n --nb 5,8 --lookahead 1 --dim 10 --dim 20x10 --trans n,c --method-gels cholqr --matrix svd --cond 1e3 --type d,z gels
% SLATE version 2023.11.05, id de5d2ec2
% input: ./tester --origin s --target t --ref n --nb 5,8 --lookahead 1 --dim 10 --dim 20x10 --trans n,c --method-gels cholqr --matrix svd --cond 1e3 --type d,z gels
% 2024-05-27 11:44:42, 1 MPI ranks, CPU-only MPI, 4 OpenMP threads per MPI rank
                                                                                                                                                                                                          
 A   B   C  type  origin  target  cholQR    gels    trans       m       n    nrhs    nb  ib    p    q  la  pt  leastsqr  min norm  residual   time (s)       gflop/s  ref time (s)   ref gflop/s  status  
 1   2   2     d  scalpk    task    auto  CholQR  notrans      10      10      10     5  32    1    1   1   2  1.49e-15        NA  3.43e-16   0.000292        0.0167            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR  notrans      10      10      10     8  32    1    1   1   2  2.97e-15        NA  6.80e-16   0.000286        0.0171            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR  notrans      20      10      10     5  32    1    1   1   2  4.70e-16        NA  2.24e-16   0.000239        0.0459            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR  notrans      20      10      10     8  32    1    1   1   2  7.68e-16        NA  2.78e-16   0.000269        0.0408            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR     conj      10      10      10     5  32    1    1   1   2  1.14e-15        NA  6.25e-16   0.000218        0.0224            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR     conj      10      10      10     8  32    1    1   1   2  2.28e-15        NA  4.91e-16   0.000245        0.0199            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR     conj      20      10      10     5  32    1    1   1   2        NA  1.59e-15  4.44e-16   0.000285        0.0385            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR     conj      20      10      10     8  32    1    1   1   2        NA  1.37e-15  4.10e-16   0.000234        0.0469            NA            NA  pass    

 1   2   2     z  scalpk    task    auto  CholQR  notrans      10      10      10     5  32    1    1   1   2  6.01e-15        NA  1.42e-15   0.000255        0.0791            NA            NA  FAILED  
 1   2   2     z  scalpk    task    auto  CholQR  notrans      10      10      10     8  32    1    1   1   2  4.24e-15        NA  9.86e-16   0.000220        0.0917            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR  notrans      20      10      10     5  32    1    1   1   2  3.14e-15        NA  5.72e-16   0.000266         0.168            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR  notrans      20      10      10     8  32    1    1   1   2  1.44e-15        NA  6.90e-16   0.000206         0.217            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR     conj      10      10      10     5  32    1    1   1   2  5.58e-15        NA  8.71e-16   0.000191         0.106            NA            NA  FAILED  
 1   2   2     z  scalpk    task    auto  CholQR     conj      10      10      10     8  32    1    1   1   2  1.17e-14        NA  2.13e-15   0.000192         0.105            NA            NA  FAILED  
 1   2   2     z  scalpk    task    auto  CholQR     conj      20      10      10     5  32    1    1   1   2        NA  1.35e-15  2.89e-16   0.000193         0.232            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR     conj      20      10      10     8  32    1    1   1   2        NA  2.61e-15  5.14e-16   0.000209         0.214            NA            NA  pass    

% Matrix kinds:
%  1: svd, cond = 1000
%  2: rand, cond unknown

% 3 tests FAILED: gels
FAILED: gels, exit code 3

Runs now pass:

./run_tests.py --xsmall --type s,d,z
...
--------------------------------------------------------------------------------
./tester  --origin s --target t --ref n --nb 5,8 --type s,d,z --lookahead 1 --dim 10 --dim 20x10 --trans n,c --cond 1e2 --method-gels cholqr --matrix svd gels
% SLATE version 2023.11.05, id de5d2ec2
% input: ./tester --origin s --target t --ref n --nb 5,8 --type s,d,z --lookahead 1 --dim 10 --dim 20x10 --trans n,c --cond 1e2 --method-gels cholqr --matrix svd gels
% 2024-05-27 11:43:33, 1 MPI ranks, CPU-only MPI, 4 OpenMP threads per MPI rank
                                                                                                                                                                                                          
 A   B   C  type  origin  target  cholQR    gels    trans       m       n    nrhs    nb  ib    p    q  la  pt  leastsqr  min norm  residual   time (s)       gflop/s  ref time (s)   ref gflop/s  status  
 1   2   2     s  scalpk    task    auto  CholQR  notrans      10      10      10     5  32    1    1   1   2  4.30e-07        NA  9.36e-08    0.00135       0.00361            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR  notrans      10      10      10     8  32    1    1   1   2  7.25e-07        NA  1.49e-07   0.000307        0.0159            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR  notrans      20      10      10     5  32    1    1   1   2  5.13e-08        NA  3.42e-08   0.000341        0.0322            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR  notrans      20      10      10     8  32    1    1   1   2  3.19e-08        NA  2.36e-08   0.000286        0.0384            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR     conj      10      10      10     5  32    1    1   1   2  8.93e-08        NA  2.14e-08   0.000267        0.0183            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR     conj      10      10      10     8  32    1    1   1   2  3.94e-07        NA  6.77e-08   0.000250        0.0195            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR     conj      20      10      10     5  32    1    1   1   2        NA  6.27e-08  2.19e-08   0.000267        0.0411            NA            NA  pass    
 1   2   2     s  scalpk    task    auto  CholQR     conj      20      10      10     8  32    1    1   1   2        NA  6.94e-08  9.00e-09   0.000216        0.0508            NA            NA  pass    

 1   2   2     d  scalpk    task    auto  CholQR  notrans      10      10      10     5  32    1    1   1   2  6.51e-16        NA  1.41e-16   0.000300        0.0163            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR  notrans      10      10      10     8  32    1    1   1   2  1.24e-15        NA  1.24e-16   0.000244        0.0200            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR  notrans      20      10      10     5  32    1    1   1   2  6.66e-17        NA  3.30e-17   0.000249        0.0441            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR  notrans      20      10      10     8  32    1    1   1   2  1.79e-16        NA  6.66e-17   0.000268        0.0410            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR     conj      10      10      10     5  32    1    1   1   2  8.34e-16        NA  1.01e-16   0.000192        0.0254            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR     conj      10      10      10     8  32    1    1   1   2  3.98e-16        NA  1.61e-16   0.000290        0.0168            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR     conj      20      10      10     5  32    1    1   1   2        NA  1.43e-16  2.44e-17   0.000295        0.0372            NA            NA  pass    
 1   2   2     d  scalpk    task    auto  CholQR     conj      20      10      10     8  32    1    1   1   2        NA  8.80e-17  1.70e-17   0.000171        0.0642            NA            NA  pass    

 1   2   2     z  scalpk    task    auto  CholQR  notrans      10      10      10     5  32    1    1   1   2  3.23e-16        NA  6.96e-17   0.000218        0.0926            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR  notrans      10      10      10     8  32    1    1   1   2  7.27e-16        NA  1.23e-16   0.000154         0.131            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR  notrans      20      10      10     5  32    1    1   1   2  1.00e-16        NA  4.67e-17   0.000165         0.271            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR  notrans      20      10      10     8  32    1    1   1   2  1.16e-16        NA  3.60e-17   0.000154         0.291            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR     conj      10      10      10     5  32    1    1   1   2  3.29e-16        NA  1.46e-16   0.000151         0.134            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR     conj      10      10      10     8  32    1    1   1   2  3.67e-16        NA  1.34e-16   0.000120         0.168            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR     conj      20      10      10     5  32    1    1   1   2        NA  3.20e-16  4.47e-17   0.000152         0.295            NA            NA  pass    
 1   2   2     z  scalpk    task    auto  CholQR     conj      20      10      10     8  32    1    1   1   2        NA  2.47e-16  5.25e-17   0.000132         0.339            NA            NA  pass    

% Matrix kinds:
%  1: svd, cond = 100
%  2: rand, cond unknown

% All tests passed: gels
passed: gels

[mgates3]

Self-reviewed.

[mgates3]

Example failed with seemingly unrelated error:

2024-05-27T16:10:24.3382179Z --------------------------------------------------------------------------------
2024-05-27T16:10:24.3382535Z mpirun -np 4 ./ex06_linear_system_lu s d c z
2024-05-27T16:10:24.3382796Z mpi_size 4, grid_p 2, grid_q 2
2024-05-27T16:10:24.3383048Z rank 0: void test_lu() [with scalar_type = float]
2024-05-27T16:10:24.3383354Z rank 0: void test_lu_factor() [with scalar_type = float]
2024-05-27T16:10:24.3383763Z rank 0: void test_lu_inverse() [with scalar_type = float]
2024-05-27T16:10:24.3384284Z terminate called after throwing an instance of 'std::out_of_range'
2024-05-27T16:10:24.3384596Z   what():  map::at
2024-05-27T16:10:24.3384823Z [6a9f601703b0:1471142] *** Process received signal ***
2024-05-27T16:10:24.3385097Z [6a9f601703b0:1471142] Signal: Aborted (6)
2024-05-27T16:10:24.3385332Z [6a9f601703b0:1471142] Signal code:  (-6)
2024-05-27T16:10:24.3385589Z [6a9f601703b0:1471142] [ 0] /lib64/libc.so.6(+0x54db0)[0x7fe937b81db0]
2024-05-27T16:10:24.3385904Z [6a9f601703b0:1471142] [ 1] /lib64/libc.so.6(+0xa154c)[0x7fe937bce54c]
2024-05-27T16:10:24.3386203Z [6a9f601703b0:1471142] [ 2] /lib64/libc.so.6(raise+0x16)[0x7fe937b81d06]
2024-05-27T16:10:24.3386515Z [6a9f601703b0:1471142] [ 3] /lib64/libc.so.6(abort+0xd3)[0x7fe937b557f3]
2024-05-27T16:10:24.3387161Z [6a9f601703b0:1471142] [ 4] /spack/opt/spack/linux-rocky9-x86_64/gcc-11.4.1/gcc-11.3.0-zpqh477vskt2stxzsmhukoscwoxjazzj/lib64/libstdc++.so.6(+0xa9ada)[0x7fe937f27ada]
2024-05-27T16:10:24.3388097Z [6a9f601703b0:1471142] [ 5] /spack/opt/spack/linux-rocky9-x86_64/gcc-11.4.1/gcc-11.3.0-zpqh477vskt2stxzsmhukoscwoxjazzj/lib64/libstdc++.so.6(+0xb50aa)[0x7fe937f330aa]
2024-05-27T16:10:24.3388932Z [6a9f601703b0:1471142] [ 6] /spack/opt/spack/linux-rocky9-x86_64/gcc-11.4.1/gcc-11.3.0-zpqh477vskt2stxzsmhukoscwoxjazzj/lib64/libstdc++.so.6(+0xb4109)[0x7fe937f32109]
2024-05-27T16:10:24.3389832Z [6a9f601703b0:1471142] [ 7] /spack/opt/spack/linux-rocky9-x86_64/gcc-11.4.1/gcc-11.3.0-zpqh477vskt2stxzsmhukoscwoxjazzj/lib64/libstdc++.so.6(__gxx_personality_v0+0x87)[0x7fe937f32837]
2024-05-27T16:10:24.3390726Z [6a9f601703b0:1471142] [ 8] /spack/opt/spack/linux-rocky9-x86_64/gcc-11.4.1/gcc-11.3.0-zpqh477vskt2stxzsmhukoscwoxjazzj/lib64/libgcc_s.so.1(+0x12464)[0x7fe937d48464]
2024-05-27T16:10:24.3391579Z [6a9f601703b0:1471142] [ 9] /spack/opt/spack/linux-rocky9-x86_64/gcc-11.4.1/gcc-11.3.0-zpqh477vskt2stxzsmhukoscwoxjazzj/lib64/libgcc_s.so.1(_Unwind_Resume+0x12e)[0x7fe937d48e9e]
2024-05-27T16:10:24.3392379Z [6a9f601703b0:1471142] [10] /tmp/slate/slate/install/lib/libslate.so(_ZN5slate10BaseMatrixIfE9tileBcastILNS_6TargetE72EEEvllRKS1_N4blas6LayoutEi+0xe0c)[0x7fe93fbdfe6c]
2024-05-27T16:10:24.3393003Z [6a9f601703b0:1471142] [11] /tmp/slate/slate/install/lib/libslate.so(+0xb1d24d)[0x7fe94030d24d]
2024-05-27T16:10:24.3393669Z [6a9f601703b0:1471142] [12] /spack/opt/spack/linux-rocky9-x86_64/gcc-11.4.1/gcc-11.3.0-zpqh477vskt2stxzsmhukoscwoxjazzj/lib64/libgomp.so.1(+0x180db)[0x7fe937d690db]
2024-05-27T16:10:24.3394522Z [6a9f601703b0:1471142] [13] /spack/opt/spack/linux-rocky9-x86_64/gcc-11.4.1/gcc-11.3.0-zpqh477vskt2stxzsmhukoscwoxjazzj/lib64/libgomp.so.1(+0x205b8)[0x7fe937d715b8]
2024-05-27T16:10:24.3395303Z [6a9f601703b0:1471142] [14] /spack/opt/spack/linux-rocky9-x86_64/gcc-11.4.1/gcc-11.3.0-zpqh477vskt2stxzsmhukoscwoxjazzj/lib64/libgomp.so.1(+0x1daf2)[0x7fe937d6eaf2]
2024-05-27T16:10:24.3395822Z [6a9f601703b0:1471142] [15] /lib64/libc.so.6(+0x9f802)[0x7fe937bcc802]
2024-05-27T16:10:31.8842470Z [6a9f601703b0:1471142] [16] /lib64/libc.so.6(+0x3f450)[0x7fe937b6c450]
2024-05-27T16:10:31.8842936Z [6a9f601703b0:1471142] *** End of error message ***
2024-05-27T16:10:31.8843609Z --------------------------------------------------------------------------