>>>>> processing /home/osboxes/Repositories/Octave/octave-1/.build/libinterp/dldfcn/qr.cc-tst ***** testif HAVE_CXSPARSE n = 20; d = 0.2; ## initialize generators to make behavior reproducible rand ("state", 42); randn ("state", 42); a = sprandn (n,n,d) + speye (n,n); r = qr (a); assert (r'*r, a'*a, 1e-10); !!!!! test failed ASSERT errors for: assert (r' * r,a' * a,1e-10) Location | Observed | Expected | Reason (1,1) 1.01234 1.22837 Abs err 0.21603 exceeds tol 1e-10 by 0.2 (2,1) 0 0.969588 Abs err 0.96959 exceeds tol 1e-10 by 1 (3,1) 0 -0.446929 Abs err 0.44693 exceeds tol 1e-10 by 0.4 (4,1) 0 -0.0724427 Abs err 0.072443 exceeds tol 1e-10 by 0.07 (6,1) 0 2.67904 Abs err 2.679 exceeds tol 1e-10 by 3 (8,1) 0 -0.273229 Abs err 0.27323 exceeds tol 1e-10 by 0.3 (11,1) 0 -0.477881 Abs err 0.47788 exceeds tol 1e-10 by 0.5 (12,1) -0.140362 0 Abs err 0.14036 exceeds tol 1e-10 by 0.1 (13,1) 0 0.379033 Abs err 0.37903 exceeds tol 1e-10 by 0.4 (14,1) -1.10408 0 Abs err 1.1041 exceeds tol 1e-10 by 1 (15,1) 0.101442 0 Abs err 0.10144 exceeds tol 1e-10 by 0.1 (16,1) 0 0.777828 Abs err 0.77783 exceeds tol 1e-10 by 0.8 (18,1) 0.668626 0 Abs err 0.66863 exceeds tol 1e-10 by 0.7 (19,1) -0.111087 0 Abs err 0.11109 exceeds tol 1e-10 by 0.1 (20,1) 0 0.15189 Abs err 0.15189 exceeds tol 1e-10 by 0.2 (1,2) 0 0.969588 Abs err 0.96959 exceeds tol 1e-10 by 1 (2,2) 1.55755 4.67136 Abs err 3.1138 exceeds tol 1e-10 by 3 (3,2) 0 -0.765627 Abs err 0.76563 exceeds tol 1e-10 by 0.8 (4,2) 0 -0.011201 Abs err 0.011201 exceeds tol 1e-10 by 0.01 (5,2) -0.335674 0.794305 Abs err 1.13 exceeds tol 1e-10 by 1 (6,2) 0 2.78249 Abs err 2.7825 exceeds tol 1e-10 by 3 (7,2) -2.09817 0.314995 Abs err 2.4132 exceeds tol 1e-10 by 2 (8,2) 0 -0.105738 Abs err 0.10574 exceeds tol 1e-10 by 0.1 (9,2) 0 0.311786 Abs err 0.31179 exceeds tol 1e-10 by 0.3 (10,2) -0.43663 0 Abs err 0.43663 exceeds tol 1e-10 by 0.4 (11,2) -2.04904 -0.286755 Abs err 1.7623 exceeds tol 1e-10 by 2 (13,2) 0 -3.21936 Abs err 3.2194 exceeds tol 1e-10 by 3 (14,2) 0 -2.08505 Abs err 2.0851 exceeds tol 1e-10 by 2 (15,2) 0 0.212671 Abs err 0.21267 exceeds tol 1e-10 by 0.2 (16,2) 0 0.754172 Abs err 0.75417 exceeds tol 1e-10 by 0.8 (18,2) 0 0.0234857 Abs err 0.023486 exceeds tol 1e-10 by 0.02 (19,2) -1.21834 0 Abs err 1.2183 exceeds tol 1e-10 by 1 (20,2) 0 2.42048 Abs err 2.4205 exceeds tol 1e-10 by 2 (1,3) 0 -0.446929 Abs err 0.44693 exceeds tol 1e-10 by 0.4 (2,3) 0 -0.765627 Abs err 0.76563 exceeds tol 1e-10 by 0.8 (3,3) 1.22837 3.61294 Abs err 2.3846 exceeds tol 1e-10 by 2 (4,3) -0.446929 -1.64141 Abs err 1.1945 exceeds tol 1e-10 by 1 (5,3) -0.0724427 1.1079 Abs err 1.1803 exceeds tol 1e-10 by 1 (6,3) 0.777828 -1.19734 Abs err 1.9752 exceeds tol 1e-10 by 2 (7,3) 0.379033 0 Abs err 0.37903 exceeds tol 1e-10 by 0.4 (8,3) -0.477881 0.84272 Abs err 1.3206 exceeds tol 1e-10 by 1 (9,3) 0.969588 -0.249948 Abs err 1.2195 exceeds tol 1e-10 by 1 (10,3) -0.273229 0 Abs err 0.27323 exceeds tol 1e-10 by 0.3 (13,3) 0 1.95974 Abs err 1.9597 exceeds tol 1e-10 by 2 (14,3) 0 -2.7403 Abs err 2.7403 exceeds tol 1e-10 by 3 (16,3) 2.67904 -0.347634 Abs err 3.0267 exceeds tol 1e-10 by 3 (17,3) 0 0.317536 Abs err 0.31754 exceeds tol 1e-10 by 0.3 (18,3) 0 -1.39999 Abs err 1.4 exceeds tol 1e-10 by 1 (20,3) 0.15189 3.13171 Abs err 2.9798 exceeds tol 1e-10 by 3 (1,4) 0 -0.0724427 Abs err 0.072443 exceeds tol 1e-10 by 0.07 (2,4) 0 -0.011201 Abs err 0.011201 exceeds tol 1e-10 by 0.01 (3,4) -0.446929 -1.64141 Abs err 1.1945 exceeds tol 1e-10 by 1 (4,4) 3.61294 4.9814 Abs err 1.3685 exceeds tol 1e-10 by 1 (5,4) -1.64141 0 Abs err 1.6414 exceeds tol 1e-10 by 2 (6,4) -0.347634 -0.194077 Abs err 0.15356 exceeds tol 1e-10 by 0.2 (7,4) 1.95974 0.388286 Abs err 1.5715 exceeds tol 1e-10 by 2 (8,4) -1.38778e-16 -2.22562 Abs err 2.2256 exceeds tol 1e-10 by 2 (9,4) -0.765627 1.52496 Abs err 2.2906 exceeds tol 1e-10 by 2 (10,4) 0.84272 0 Abs err 0.84272 exceeds tol 1e-10 by 0.8 (11,4) -2.7403 -0.353476 Abs err 2.3868 exceeds tol 1e-10 by 2 (12,4) 1.1079 0 Abs err 1.1079 exceeds tol 1e-10 by 1 (13,4) 0 0.73352 Abs err 0.73352 exceeds tol 1e-10 by 0.7 (14,4) 0 -0.774574 Abs err 0.77457 exceeds tol 1e-10 by 0.8 (15,4) 0.317536 0 Abs err 0.31754 exceeds tol 1e-10 by 0.3 (16,4) -1.19734 -0.056348 Abs err 1.141 exceeds tol 1e-10 by 1 (17,4) 0 -0.90796 Abs err 0.90796 exceeds tol 1e-10 by 0.9 (18,4) -1.39999 4.03208 Abs err 5.4321 exceeds tol 1e-10 by 5 (19,4) -0.249948 -0.335674 Abs err 0.085726 exceeds tol 1e-10 by 0.09 (20,4) 3.13171 0.21598 Abs err 2.9157 exceeds tol 1e-10 by 3 (2,5) -0.335674 0.794305 Abs err 1.13 exceeds tol 1e-10 by 1 (3,5) -0.0724427 1.1079 Abs err 1.1803 exceeds tol 1e-10 by 1 (4,5) -1.64141 0 Abs err 1.6414 exceeds tol 1e-10 by 2 (5,5) 4.9814 3.35653 Abs err 1.6249 exceeds tol 1e-10 by 2 (6,5) -0.056348 -0.89943 Abs err 0.84308 exceeds tol 1e-10 by 0.8 (7,5) 0.73352 -0.823033 Abs err 1.5566 exceeds tol 1e-10 by 2 (8,5) -0.353476 -1.92398 Abs err 1.5705 exceeds tol 1e-10 by 2 (9,5) -0.011201 0.103233 Abs err 0.11443 exceeds tol 1e-10 by 0.1 (10,5) -2.22562 -0.140362 Abs err 2.0853 exceeds tol 1e-10 by 2 (11,5) -0.774574 0 Abs err 0.77457 exceeds tol 1e-10 by 0.8 (12,5) -2.22045e-16 2.29866 Abs err 2.2987 exceeds tol 1e-10 by 2 (13,5) 0.388286 0.0018151 Abs err 0.38647 exceeds tol 1e-10 by 0.4 (14,5) 0 -1.70941 Abs err 1.7094 exceeds tol 1e-10 by 2 (15,5) -0.90796 0.328091 Abs err 1.2361 exceeds tol 1e-10 by 1 (16,5) -0.194077 -0.277287 Abs err 0.08321 exceeds tol 1e-10 by 0.08 (17,5) 0 0.935795 Abs err 0.93579 exceeds tol 1e-10 by 0.9 (18,5) 4.03208 -0.0938495 Abs err 4.1259 exceeds tol 1e-10 by 4 (19,5) 1.52496 0 Abs err 1.525 exceeds tol 1e-10 by 2 (20,5) 0.21598 1.89822 Abs err 1.6822 exceeds tol 1e-10 by 2 (1,6) 0 2.67904 Abs err 2.679 exceeds tol 1e-10 by 3 (2,6) 0 2.78249 Abs err 2.7825 exceeds tol 1e-10 by 3 (3,6) 0.777828 -1.19734 Abs err 1.9752 exceeds tol 1e-10 by 2 (4,6) -0.347634 -0.194077 Abs err 0.15356 exceeds tol 1e-10 by 0.2 (5,6) -0.056348 -0.89943 Abs err 0.84308 exceeds tol 1e-10 by 0.8 (6,6) 1.82236 9.9234 Abs err 8.101 exceeds tol 1e-10 by 8 (7,6) -0.140193 0 Abs err 0.14019 exceeds tol 1e-10 by 0.1 (8,6) -0.29933 0.4817 Abs err 0.78103 exceeds tol 1e-10 by 0.8 (9,6) 0.754172 0.811266 Abs err 0.057094 exceeds tol 1e-10 by 0.06 (10,6) 0.466198 0 Abs err 0.4662 exceeds tol 1e-10 by 0.5 (12,6) -0.277287 0.517848 Abs err 0.79513 exceeds tol 1e-10 by 0.8 (13,6) -0.235869 0 Abs err 0.23587 exceeds tol 1e-10 by 0.2 (14,6) 0 -2.24956 Abs err 2.2496 exceeds tol 1e-10 by 2 (15,6) -0.158082 1.88762 Abs err 2.0457 exceeds tol 1e-10 by 2 (17,6) 0.0432546 0 Abs err 0.043255 exceeds tol 1e-10 by 0.04 (18,6) 1.27477 0 Abs err 1.2748 exceeds tol 1e-10 by 1 (19,6) -0.372298 0 Abs err 0.3723 exceeds tol 1e-10 by 0.4 (2,7) -2.09817 0.314995 Abs err 2.4132 exceeds tol 1e-10 by 2 (3,7) 0.379033 0 Abs err 0.37903 exceeds tol 1e-10 by 0.4 (4,7) 1.95974 0.388286 Abs err 1.5715 exceeds tol 1e-10 by 2 (5,7) 0.73352 -0.823033 Abs err 1.5566 exceeds tol 1e-10 by 2 (6,7) -0.140193 0 Abs err 0.14019 exceeds tol 1e-10 by 0.1 (7,7) 9.13688 4.01774 Abs err 5.1191 exceeds tol 1e-10 by 5 (8,7) -0.60909 0.130171 Abs err 0.73926 exceeds tol 1e-10 by 0.7 (9,7) -3.21936 2.13374 Abs err 5.3531 exceeds tol 1e-10 by 5 (10,7) -0.614017 0 Abs err 0.61402 exceeds tol 1e-10 by 0.6 (11,7) -1.84013 -1.56109 Abs err 0.27904 exceeds tol 1e-10 by 0.3 (12,7) 0.0018151 -0.727038 Abs err 0.72885 exceeds tol 1e-10 by 0.7 (14,7) 0 0.266285 Abs err 0.26628 exceeds tol 1e-10 by 0.3 (15,7) 0.0972075 -1.33103 Abs err 1.4282 exceeds tol 1e-10 by 1 (16,7) -3.33067e-16 -0.235869 Abs err 0.23587 exceeds tol 1e-10 by 0.2 (17,7) -0.746437 -1.76078 Abs err 1.0143 exceeds tol 1e-10 by 1 (18,7) -0.783883 -1.19779 Abs err 0.41391 exceeds tol 1e-10 by 0.4 (19,7) 2.66477 0 Abs err 2.6648 exceeds tol 1e-10 by 3 (20,7) 0.252095 1.03957 Abs err 0.78747 exceeds tol 1e-10 by 0.8 (1,8) 0 -0.273229 Abs err 0.27323 exceeds tol 1e-10 by 0.3 (2,8) 0 -0.105738 Abs err 0.10574 exceeds tol 1e-10 by 0.1 (3,8) -0.477881 0.84272 Abs err 1.3206 exceeds tol 1e-10 by 1 (4,8) -1.38778e-16 -2.22562 Abs err 2.2256 exceeds tol 1e-10 by 2 (5,8) -0.353476 -1.92398 Abs err 1.5705 exceeds tol 1e-10 by 2 (6,8) -0.29933 0.4817 Abs err 0.78103 exceeds tol 1e-10 by 0.8 (7,8) -0.60909 0.130171 Abs err 0.73926 exceeds tol 1e-10 by 0.7 (8,8) 3.12911 4.88315 Abs err 1.754 exceeds tol 1e-10 by 2 (9,8) -0.286755 -0.332353 Abs err 0.045598 exceeds tol 1e-10 by 0.05 (10,8) -0.0703152 0 Abs err 0.070315 exceeds tol 1e-10 by 0.07 (11,8) -3.33067e-16 -0.0703152 Abs err 0.070315 exceeds tol 1e-10 by 0.07 (12,8) 1.52656e-16 -2.11643 Abs err 2.1164 exceeds tol 1e-10 by 2 (13,8) -1.56109 -0.614017 Abs err 0.94707 exceeds tol 1e-10 by 0.9 (14,8) 0 2.64391 Abs err 2.6439 exceeds tol 1e-10 by 3 (15,8) 0.217716 1.93501 Abs err 1.7173 exceeds tol 1e-10 by 2 (16,8) 3.33067e-16 0.466198 Abs err 0.4662 exceeds tol 1e-10 by 0.5 (17,8) -1.68914 -0.650717 Abs err 1.0384 exceeds tol 1e-10 by 1 (18,8) -1.89628 0.872849 Abs err 2.7691 exceeds tol 1e-10 by 3 (19,8) -1.86673 -0.43663 Abs err 1.4301 exceeds tol 1e-10 by 1 (20,8) -1.36687 -0.181725 Abs err 1.1851 exceeds tol 1e-10 by 1 (2,9) 0 0.311786 Abs err 0.31179 exceeds tol 1e-10 by 0.3 (3,9) 0.969588 -0.249948 Abs err 1.2195 exceeds tol 1e-10 by 1 (4,9) -0.765627 1.52496 Abs err 2.2906 exceeds tol 1e-10 by 2 (5,9) -0.011201 0.103233 Abs err 0.11443 exceeds tol 1e-10 by 0.1 (6,9) 0.754172 0.811266 Abs err 0.057094 exceeds tol 1e-10 by 0.06 (7,9) -3.21936 2.13374 Abs err 5.3531 exceeds tol 1e-10 by 5 (8,9) -0.286755 -0.332353 Abs err 0.045598 exceeds tol 1e-10 by 0.05 (9,9) 4.67136 6.73415 Abs err 2.0628 exceeds tol 1e-10 by 2 (10,9) -0.105738 -0.111087 Abs err 0.0053486 exceeds tol 1e-10 by 0.005 (11,9) -2.08505 -1.86673 Abs err 0.21832 exceeds tol 1e-10 by 0.2 (12,9) 0.794305 0 Abs err 0.79431 exceeds tol 1e-10 by 0.8 (13,9) 0.314995 2.66477 Abs err 2.3498 exceeds tol 1e-10 by 2 (14,9) 0 -2.31028 Abs err 2.3103 exceeds tol 1e-10 by 2 (15,9) -1.80411e-16 -0.394519 Abs err 0.39452 exceeds tol 1e-10 by 0.4 (16,9) 2.78249 -0.372298 Abs err 3.1548 exceeds tol 1e-10 by 3 (17,9) 0.212671 -1.04877 Abs err 1.2614 exceeds tol 1e-10 by 1 (18,9) 0.0234857 0.954767 Abs err 0.93128 exceeds tol 1e-10 by 0.9 (19,9) 0.311786 -1.21834 Abs err 1.5301 exceeds tol 1e-10 by 2 (20,9) 2.42048 0.402939 Abs err 2.0175 exceeds tol 1e-10 by 2 (2,10) -0.43663 0 Abs err 0.43663 exceeds tol 1e-10 by 0.4 (3,10) -0.273229 0 Abs err 0.27323 exceeds tol 1e-10 by 0.3 (4,10) 0.84272 0 Abs err 0.84272 exceeds tol 1e-10 by 0.8 (5,10) -2.22562 -0.140362 Abs err 2.0853 exceeds tol 1e-10 by 2 (6,10) 0.466198 0 Abs err 0.4662 exceeds tol 1e-10 by 0.5 (7,10) -0.614017 0 Abs err 0.61402 exceeds tol 1e-10 by 0.6 (8,10) -0.0703152 0 Abs err 0.070315 exceeds tol 1e-10 by 0.07 (9,10) -0.105738 -0.111087 Abs err 0.0053486 exceeds tol 1e-10 by 0.005 (10,10) 4.88315 1.01234 Abs err 3.8708 exceeds tol 1e-10 by 4 (11,10) 2.64391 0 Abs err 2.6439 exceeds tol 1e-10 by 3 (12,10) -1.92398 -1.10408 Abs err 0.8199 exceeds tol 1e-10 by 0.8 (13,10) 0.130171 0 Abs err 0.13017 exceeds tol 1e-10 by 0.1 (14,10) -2.11643 0 Abs err 2.1164 exceeds tol 1e-10 by 2 (15,10) -0.650717 0 Abs err 0.65072 exceeds tol 1e-10 by 0.7 (16,10) 0.4817 0 Abs err 0.4817 exceeds tol 1e-10 by 0.5 (17,10) 1.93501 0.101442 Abs err 1.8336 exceeds tol 1e-10 by 2 (18,10) 0.872849 0.668626 Abs err 0.20422 exceeds tol 1e-10 by 0.2 (19,10) -0.332353 0 Abs err 0.33235 exceeds tol 1e-10 by 0.3 (20,10) -0.181725 0 Abs err 0.18172 exceeds tol 1e-10 by 0.2 (1,11) 0 -0.477881 Abs err 0.47788 exceeds tol 1e-10 by 0.5 (2,11) -2.04904 -0.286755 Abs err 1.7623 exceeds tol 1e-10 by 2 (4,11) -2.7403 -0.353476 Abs err 2.3868 exceeds tol 1e-10 by 2 (5,11) -0.774574 0 Abs err 0.77457 exceeds tol 1e-10 by 0.8 (7,11) -1.84013 -1.56109 Abs err 0.27904 exceeds tol 1e-10 by 0.3 (8,11) -3.33067e-16 -0.0703152 Abs err 0.070315 exceeds tol 1e-10 by 0.07 (9,11) -2.08505 -1.86673 Abs err 0.21832 exceeds tol 1e-10 by 0.2 (10,11) 2.64391 0 Abs err 2.6439 exceeds tol 1e-10 by 3 (11,11) 22.4033 3.12911 Abs err 19.274 exceeds tol 1e-10 by 2e+01 (12,11) -1.70941 0 Abs err 1.7094 exceeds tol 1e-10 by 2 (13,11) 0.266285 -0.60909 Abs err 0.87537 exceeds tol 1e-10 by 0.9 (14,11) -1.64041 0 Abs err 1.6404 exceeds tol 1e-10 by 2 (15,11) -0.211672 -1.68914 Abs err 1.4775 exceeds tol 1e-10 by 1 (16,11) -2.24956 -0.29933 Abs err 1.9502 exceeds tol 1e-10 by 2 (17,11) -1.31784 0.217716 Abs err 1.5356 exceeds tol 1e-10 by 2 (18,11) -0.401635 -1.89628 Abs err 1.4946 exceeds tol 1e-10 by 1 (19,11) -2.31028 0 Abs err 2.3103 exceeds tol 1e-10 by 2 (20,11) -4.98282 -1.36687 Abs err 3.616 exceeds tol 1e-10 by 4 (1,12) -0.140362 0 Abs err 0.14036 exceeds tol 1e-10 by 0.1 (4,12) 1.1079 0 Abs err 1.1079 exceeds tol 1e-10 by 1 (5,12) -2.22045e-16 2.29866 Abs err 2.2987 exceeds tol 1e-10 by 2 (6,12) -0.277287 0.517848 Abs err 0.79513 exceeds tol 1e-10 by 0.8 (7,12) 0.0018151 -0.727038 Abs err 0.72885 exceeds tol 1e-10 by 0.7 (8,12) 1.52656e-16 -2.11643 Abs err 2.1164 exceeds tol 1e-10 by 2 (9,12) 0.794305 0 Abs err 0.79431 exceeds tol 1e-10 by 0.8 (10,12) -1.92398 -1.10408 Abs err 0.8199 exceeds tol 1e-10 by 0.8 (11,12) -1.70941 0 Abs err 1.7094 exceeds tol 1e-10 by 2 (12,12) 3.35653 6.48674 Abs err 3.1302 exceeds tol 1e-10 by 3 (13,12) -0.823033 0 Abs err 0.82303 exceeds tol 1e-10 by 0.8 (14,12) 2.29866 -1.64041 Abs err 3.9391 exceeds tol 1e-10 by 4 (15,12) 0.935795 1.86311 Abs err 0.92731 exceeds tol 1e-10 by 0.9 (16,12) -0.89943 0 Abs err 0.89943 exceeds tol 1e-10 by 0.9 (17,12) 0.328091 2.23051 Abs err 1.9024 exceeds tol 1e-10 by 2 (18,12) -0.0938495 -0.738217 Abs err 0.64437 exceeds tol 1e-10 by 0.6 (19,12) 0.103233 0 Abs err 0.10323 exceeds tol 1e-10 by 0.1 (20,12) 1.89822 -1.2952 Abs err 3.1934 exceeds tol 1e-10 by 3 (1,13) 0 0.379033 Abs err 0.37903 exceeds tol 1e-10 by 0.4 (2,13) 0 -3.21936 Abs err 3.2194 exceeds tol 1e-10 by 3 (3,13) 0 1.95974 Abs err 1.9597 exceeds tol 1e-10 by 2 (4,13) 0 0.73352 Abs err 0.73352 exceeds tol 1e-10 by 0.7 (5,13) 0.388286 0.0018151 Abs err 0.38647 exceeds tol 1e-10 by 0.4 (6,13) -0.235869 0 Abs err 0.23587 exceeds tol 1e-10 by 0.2 (8,13) -1.56109 -0.614017 Abs err 0.94707 exceeds tol 1e-10 by 0.9 (9,13) 0.314995 2.66477 Abs err 2.3498 exceeds tol 1e-10 by 2 (10,13) 0.130171 0 Abs err 0.13017 exceeds tol 1e-10 by 0.1 (11,13) 0.266285 -0.60909 Abs err 0.87537 exceeds tol 1e-10 by 0.9 (12,13) -0.823033 0 Abs err 0.82303 exceeds tol 1e-10 by 0.8 (13,13) 4.01774 9.13688 Abs err 5.1191 exceeds tol 1e-10 by 5 (14,13) -0.727038 -1.84013 Abs err 1.1131 exceeds tol 1e-10 by 1 (15,13) -1.76078 -0.746437 Abs err 1.0143 exceeds tol 1e-10 by 1 (16,13) 5.55112e-16 -0.140193 Abs err 0.14019 exceeds tol 1e-10 by 0.1 (17,13) -1.33103 0.0972075 Abs err 1.4282 exceeds tol 1e-10 by 1 (18,13) -1.19779 -0.783883 Abs err 0.41391 exceeds tol 1e-10 by 0.4 (19,13) 2.13374 -2.09817 Abs err 4.2319 exceeds tol 1e-10 by 4 (20,13) 1.03957 0.252095 Abs err 0.78747 exceeds tol 1e-10 by 0.8 (1,14) -1.10408 0 Abs err 1.1041 exceeds tol 1e-10 by 1 (2,14) 0 -2.08505 Abs err 2.0851 exceeds tol 1e-10 by 2 (3,14) 0 -2.7403 Abs err 2.7403 exceeds tol 1e-10 by 3 (4,14) 0 -0.774574 Abs err 0.77457 exceeds tol 1e-10 by 0.8 (5,14) 0 -1.70941 Abs err 1.7094 exceeds tol 1e-10 by 2 (6,14) 0 -2.24956 Abs err 2.2496 exceeds tol 1e-10 by 2 (7,14) 0 0.266285 Abs err 0.26628 exceeds tol 1e-10 by 0.3 (8,14) 0 2.64391 Abs err 2.6439 exceeds tol 1e-10 by 3 (9,14) 0 -2.31028 Abs err 2.3103 exceeds tol 1e-10 by 2 (10,14) -2.11643 0 Abs err 2.1164 exceeds tol 1e-10 by 2 (11,14) -1.64041 0 Abs err 1.6404 exceeds tol 1e-10 by 2 (12,14) 2.29866 -1.64041 Abs err 3.9391 exceeds tol 1e-10 by 4 (13,14) -0.727038 -1.84013 Abs err 1.1131 exceeds tol 1e-10 by 1 (14,14) 6.48674 22.4033 Abs err 15.917 exceeds tol 1e-10 by 2e+01 (15,14) 2.23051 -1.31784 Abs err 3.5483 exceeds tol 1e-10 by 4 (16,14) 0.517848 0 Abs err 0.51785 exceeds tol 1e-10 by 0.5 (17,14) 1.86311 -0.211672 Abs err 2.0748 exceeds tol 1e-10 by 2 (18,14) -0.738217 -0.401635 Abs err 0.33658 exceeds tol 1e-10 by 0.3 (19,14) -9.99201e-16 -2.04904 Abs err 2.049 exceeds tol 1e-10 by 2 (20,14) -1.2952 -4.98282 Abs err 3.6876 exceeds tol 1e-10 by 4 (1,15) 0.101442 0 Abs err 0.10144 exceeds tol 1e-10 by 0.1 (2,15) 0 0.212671 Abs err 0.21267 exceeds tol 1e-10 by 0.2 (4,15) 0.317536 0 Abs err 0.31754 exceeds tol 1e-10 by 0.3 (5,15) -0.90796 0.328091 Abs err 1.2361 exceeds tol 1e-10 by 1 (6,15) -0.158082 1.88762 Abs err 2.0457 exceeds tol 1e-10 by 2 (7,15) 0.0972075 -1.33103 Abs err 1.4282 exceeds tol 1e-10 by 1 (8,15) 0.217716 1.93501 Abs err 1.7173 exceeds tol 1e-10 by 2 (9,15) -1.80411e-16 -0.394519 Abs err 0.39452 exceeds tol 1e-10 by 0.4 (10,15) -0.650717 0 Abs err 0.65072 exceeds tol 1e-10 by 0.7 (11,15) -0.211672 -1.68914 Abs err 1.4775 exceeds tol 1e-10 by 1 (12,15) 0.935795 1.86311 Abs err 0.92731 exceeds tol 1e-10 by 0.9 (13,15) -1.76078 -0.746437 Abs err 1.0143 exceeds tol 1e-10 by 1 (14,15) 2.23051 -1.31784 Abs err 3.5483 exceeds tol 1e-10 by 4 (15,15) 4.34742 12.1192 Abs err 7.7718 exceeds tol 1e-10 by 8 (16,15) 3.88578e-16 0.0432546 Abs err 0.043255 exceeds tol 1e-10 by 0.04 (18,15) -1.68664 7.19366 Abs err 8.8803 exceeds tol 1e-10 by 9 (19,15) -1.04877 0 Abs err 1.0488 exceeds tol 1e-10 by 1 (20,15) -0.922597 0 Abs err 0.9226 exceeds tol 1e-10 by 0.9 (1,16) 0 0.777828 Abs err 0.77783 exceeds tol 1e-10 by 0.8 (2,16) 0 0.754172 Abs err 0.75417 exceeds tol 1e-10 by 0.8 (3,16) 2.67904 -0.347634 Abs err 3.0267 exceeds tol 1e-10 by 3 (4,16) -1.19734 -0.056348 Abs err 1.141 exceeds tol 1e-10 by 1 (5,16) -0.194077 -0.277287 Abs err 0.08321 exceeds tol 1e-10 by 0.08 (7,16) -3.33067e-16 -0.235869 Abs err 0.23587 exceeds tol 1e-10 by 0.2 (8,16) 3.33067e-16 0.466198 Abs err 0.4662 exceeds tol 1e-10 by 0.5 (9,16) 2.78249 -0.372298 Abs err 3.1548 exceeds tol 1e-10 by 3 (10,16) 0.4817 0 Abs err 0.4817 exceeds tol 1e-10 by 0.5 (11,16) -2.24956 -0.29933 Abs err 1.9502 exceeds tol 1e-10 by 2 (12,16) -0.89943 0 Abs err 0.89943 exceeds tol 1e-10 by 0.9 (13,16) 5.55112e-16 -0.140193 Abs err 0.14019 exceeds tol 1e-10 by 0.1 (14,16) 0.517848 0 Abs err 0.51785 exceeds tol 1e-10 by 0.5 (15,16) 3.88578e-16 0.0432546 Abs err 0.043255 exceeds tol 1e-10 by 0.04 (16,16) 9.9234 1.82236 Abs err 8.101 exceeds tol 1e-10 by 8 (17,16) 1.88762 -0.158082 Abs err 2.0457 exceeds tol 1e-10 by 2 (18,16) -1.08247e-15 1.27477 Abs err 1.2748 exceeds tol 1e-10 by 1 (19,16) 0.811266 0 Abs err 0.81127 exceeds tol 1e-10 by 0.8 (3,17) 0 0.317536 Abs err 0.31754 exceeds tol 1e-10 by 0.3 (4,17) 0 -0.90796 Abs err 0.90796 exceeds tol 1e-10 by 0.9 (5,17) 0 0.935795 Abs err 0.93579 exceeds tol 1e-10 by 0.9 (6,17) 0.0432546 0 Abs err 0.043255 exceeds tol 1e-10 by 0.04 (7,17) -0.746437 -1.76078 Abs err 1.0143 exceeds tol 1e-10 by 1 (8,17) -1.68914 -0.650717 Abs err 1.0384 exceeds tol 1e-10 by 1 (9,17) 0.212671 -1.04877 Abs err 1.2614 exceeds tol 1e-10 by 1 (10,17) 1.93501 0.101442 Abs err 1.8336 exceeds tol 1e-10 by 2 (11,17) -1.31784 0.217716 Abs err 1.5356 exceeds tol 1e-10 by 2 (12,17) 0.328091 2.23051 Abs err 1.9024 exceeds tol 1e-10 by 2 (13,17) -1.33103 0.0972075 Abs err 1.4282 exceeds tol 1e-10 by 1 (14,17) 1.86311 -0.211672 Abs err 2.0748 exceeds tol 1e-10 by 2 (16,17) 1.88762 -0.158082 Abs err 2.0457 exceeds tol 1e-10 by 2 (17,17) 12.1192 4.34742 Abs err 7.7718 exceeds tol 1e-10 by 8 (18,17) 7.19366 -1.68664 Abs err 8.8803 exceeds tol 1e-10 by 9 (19,17) -0.394519 0 Abs err 0.39452 exceeds tol 1e-10 by 0.4 (20,17) 2.84495e-16 -0.922597 Abs err 0.9226 exceeds tol 1e-10 by 0.9 (1,18) 0.668626 0 Abs err 0.66863 exceeds tol 1e-10 by 0.7 (2,18) 0 0.0234857 Abs err 0.023486 exceeds tol 1e-10 by 0.02 (3,18) 0 -1.39999 Abs err 1.4 exceeds tol 1e-10 by 1 (4,18) -1.39999 4.03208 Abs err 5.4321 exceeds tol 1e-10 by 5 (5,18) 4.03208 -0.0938495 Abs err 4.1259 exceeds tol 1e-10 by 4 (6,18) 1.27477 0 Abs err 1.2748 exceeds tol 1e-10 by 1 (7,18) -0.783883 -1.19779 Abs err 0.41391 exceeds tol 1e-10 by 0.4 (8,18) -1.89628 0.872849 Abs err 2.7691 exceeds tol 1e-10 by 3 (9,18) 0.0234857 0.954767 Abs err 0.93128 exceeds tol 1e-10 by 0.9 (10,18) 0.872849 0.668626 Abs err 0.20422 exceeds tol 1e-10 by 0.2 (11,18) -0.401635 -1.89628 Abs err 1.4946 exceeds tol 1e-10 by 1 (12,18) -0.0938495 -0.738217 Abs err 0.64437 exceeds tol 1e-10 by 0.6 (13,18) -1.19779 -0.783883 Abs err 0.41391 exceeds tol 1e-10 by 0.4 (14,18) -0.738217 -0.401635 Abs err 0.33658 exceeds tol 1e-10 by 0.3 (15,18) -1.68664 7.19366 Abs err 8.8803 exceeds tol 1e-10 by 9 (16,18) -1.08247e-15 1.27477 Abs err 1.2748 exceeds tol 1e-10 by 1 (17,18) 7.19366 -1.68664 Abs err 8.8803 exceeds tol 1e-10 by 9 (19,18) 0.954767 0 Abs err 0.95477 exceeds tol 1e-10 by 1 (1,19) -0.111087 0 Abs err 0.11109 exceeds tol 1e-10 by 0.1 (2,19) -1.21834 0 Abs err 1.2183 exceeds tol 1e-10 by 1 (4,19) -0.249948 -0.335674 Abs err 0.085726 exceeds tol 1e-10 by 0.09 (5,19) 1.52496 0 Abs err 1.525 exceeds tol 1e-10 by 2 (6,19) -0.372298 0 Abs err 0.3723 exceeds tol 1e-10 by 0.4 (7,19) 2.66477 0 Abs err 2.6648 exceeds tol 1e-10 by 3 (8,19) -1.86673 -0.43663 Abs err 1.4301 exceeds tol 1e-10 by 1 (9,19) 0.311786 -1.21834 Abs err 1.5301 exceeds tol 1e-10 by 2 (10,19) -0.332353 0 Abs err 0.33235 exceeds tol 1e-10 by 0.3 (11,19) -2.31028 0 Abs err 2.3103 exceeds tol 1e-10 by 2 (12,19) 0.103233 0 Abs err 0.10323 exceeds tol 1e-10 by 0.1 (13,19) 2.13374 -2.09817 Abs err 4.2319 exceeds tol 1e-10 by 4 (14,19) -9.99201e-16 -2.04904 Abs err 2.049 exceeds tol 1e-10 by 2 (15,19) -1.04877 0 Abs err 1.0488 exceeds tol 1e-10 by 1 (16,19) 0.811266 0 Abs err 0.81127 exceeds tol 1e-10 by 0.8 (17,19) -0.394519 0 Abs err 0.39452 exceeds tol 1e-10 by 0.4 (18,19) 0.954767 0 Abs err 0.95477 exceeds tol 1e-10 by 1 (19,19) 6.73415 1.55755 Abs err 5.1766 exceeds tol 1e-10 by 5 (20,19) 0.402939 0 Abs err 0.40294 exceeds tol 1e-10 by 0.4 (1,20) 0 0.15189 Abs err 0.15189 exceeds tol 1e-10 by 0.2 (2,20) 0 2.42048 Abs err 2.4205 exceeds tol 1e-10 by 2 (3,20) 0.15189 3.13171 Abs err 2.9798 exceeds tol 1e-10 by 3 (4,20) 3.13171 0.21598 Abs err 2.9157 exceeds tol 1e-10 by 3 (5,20) 0.21598 1.89822 Abs err 1.6822 exceeds tol 1e-10 by 2 (7,20) 0.252095 1.03957 Abs err 0.78747 exceeds tol 1e-10 by 0.8 (8,20) -1.36687 -0.181725 Abs err 1.1851 exceeds tol 1e-10 by 1 (9,20) 2.42048 0.402939 Abs err 2.0175 exceeds tol 1e-10 by 2 (10,20) -0.181725 0 Abs err 0.18172 exceeds tol 1e-10 by 0.2 (11,20) -4.98282 -1.36687 Abs err 3.616 exceeds tol 1e-10 by 4 (12,20) 1.89822 -1.2952 Abs err 3.1934 exceeds tol 1e-10 by 3 (13,20) 1.03957 0.252095 Abs err 0.78747 exceeds tol 1e-10 by 0.8 (14,20) -1.2952 -4.98282 Abs err 3.6876 exceeds tol 1e-10 by 4 (15,20) -0.922597 0 Abs err 0.9226 exceeds tol 1e-10 by 0.9 (17,20) 2.84495e-16 -0.922597 Abs err 0.9226 exceeds tol 1e-10 by 0.9 (19,20) 0.402939 0 Abs err 0.40294 exceeds tol 1e-10 by 0.4 ***** testif HAVE_COLAMD n = 20; d = 0.2; ## initialize generators to make behavior reproducible rand ("state", 42); randn ("state", 42); a = sprandn (n,n,d) + speye (n,n); q = symamd (a); a = a(q,q); r = qr (a); assert (r'*r, a'*a, 1e-10); !!!!! test failed ASSERT errors for: assert (r' * r,a' * a,1e-10) Location | Observed | Expected | Reason (1,1) 1.01234 1.55755 Abs err 0.54521 exceeds tol 1e-10 by 0.5 (10,1) 0.668626 0 Abs err 0.66863 exceeds tol 1e-10 by 0.7 (11,1) -0.111087 -0.335674 Abs err 0.22459 exceeds tol 1e-10 by 0.2 (12,1) -0.140362 0 Abs err 0.14036 exceeds tol 1e-10 by 0.1 (13,1) -1.10408 -2.09817 Abs err 0.99409 exceeds tol 1e-10 by 1 (14,1) 0.101442 0 Abs err 0.10144 exceeds tol 1e-10 by 0.1 (16,1) 0 -1.21834 Abs err 1.2183 exceeds tol 1e-10 by 1 (18,1) 0 -0.43663 Abs err 0.43663 exceeds tol 1e-10 by 0.4 (20,1) 0 -2.04904 Abs err 2.049 exceeds tol 1e-10 by 2 (2,2) 1.55755 3.12911 Abs err 1.5716 exceeds tol 1e-10 by 2 (5,2) 0 -1.56109 Abs err 1.5611 exceeds tol 1e-10 by 2 (6,2) -2.09817 0.217716 Abs err 2.3159 exceeds tol 1e-10 by 2 (7,2) 0 -1.36687 Abs err 1.3669 exceeds tol 1e-10 by 1 (8,2) 0 -0.477881 Abs err 0.47788 exceeds tol 1e-10 by 0.5 (9,2) -0.335674 0 Abs err 0.33567 exceeds tol 1e-10 by 0.3 (10,2) 0 -0.286755 Abs err 0.28676 exceeds tol 1e-10 by 0.3 (11,2) -1.21834 -0.353476 Abs err 0.86486 exceeds tol 1e-10 by 0.9 (13,2) 0 -0.60909 Abs err 0.60909 exceeds tol 1e-10 by 0.6 (14,2) 0 -0.29933 Abs err 0.29933 exceeds tol 1e-10 by 0.3 (15,2) 0 -1.68914 Abs err 1.6891 exceeds tol 1e-10 by 2 (16,2) 0 -1.86673 Abs err 1.8667 exceeds tol 1e-10 by 2 (17,2) 0 -1.89628 Abs err 1.8963 exceeds tol 1e-10 by 2 (18,2) -0.43663 -0.0703152 Abs err 0.36632 exceeds tol 1e-10 by 0.4 (19,2) -2.04904 0 Abs err 2.049 exceeds tol 1e-10 by 2 (3,3) 1.22837 1.01234 Abs err 0.21603 exceeds tol 1e-10 by 0.2 (4,3) 0.969588 -0.140362 Abs err 1.1099 exceeds tol 1e-10 by 1 (5,3) -0.477881 0 Abs err 0.47788 exceeds tol 1e-10 by 0.5 (6,3) 0.379033 0.101442 Abs err 0.27759 exceeds tol 1e-10 by 0.3 (7,3) 0.777828 0 Abs err 0.77783 exceeds tol 1e-10 by 0.8 (8,3) -0.446929 0 Abs err 0.44693 exceeds tol 1e-10 by 0.4 (9,3) -0.0724427 0 Abs err 0.072443 exceeds tol 1e-10 by 0.07 (16,3) 0 -0.111087 Abs err 0.11109 exceeds tol 1e-10 by 0.1 (17,3) 0.15189 0.668626 Abs err 0.51674 exceeds tol 1e-10 by 0.5 (18,3) -0.273229 0 Abs err 0.27323 exceeds tol 1e-10 by 0.3 (19,3) 0 -1.10408 Abs err 1.1041 exceeds tol 1e-10 by 1 (20,3) 2.67904 0 Abs err 2.679 exceeds tol 1e-10 by 3 (3,4) 0.969588 -0.140362 Abs err 1.1099 exceeds tol 1e-10 by 1 (4,4) 4.67136 3.35653 Abs err 1.3148 exceeds tol 1e-10 by 1 (5,4) -0.286755 -0.823033 Abs err 0.53628 exceeds tol 1e-10 by 0.5 (6,4) -3.21936 0.935795 Abs err 4.1552 exceeds tol 1e-10 by 4 (7,4) 0.754172 1.89822 Abs err 1.144 exceeds tol 1e-10 by 1 (8,4) -0.765627 0 Abs err 0.76563 exceeds tol 1e-10 by 0.8 (9,4) -0.011201 1.1079 Abs err 1.1191 exceeds tol 1e-10 by 1 (10,4) 0.0234857 0.794305 Abs err 0.77082 exceeds tol 1e-10 by 0.8 (11,4) 0.311786 0 Abs err 0.31179 exceeds tol 1e-10 by 0.3 (12,4) 0.794305 -0.89943 Abs err 1.6937 exceeds tol 1e-10 by 2 (13,4) 0 0.0018151 Abs err 0.0018151 exceeds tol 1e-10 by 0.002 (14,4) 0 -0.277287 Abs err 0.27729 exceeds tol 1e-10 by 0.3 (15,4) 0.314995 0.328091 Abs err 0.013097 exceeds tol 1e-10 by 0.01 (16,4) 0.212671 0.103233 Abs err 0.10944 exceeds tol 1e-10 by 0.1 (17,4) 2.42048 -0.0938495 Abs err 2.5143 exceeds tol 1e-10 by 3 (18,4) -0.105738 -1.92398 Abs err 1.8182 exceeds tol 1e-10 by 2 (19,4) -2.08505 2.29866 Abs err 4.3837 exceeds tol 1e-10 by 4 (20,4) 2.78249 -1.70941 Abs err 4.4919 exceeds tol 1e-10 by 4 (2,5) 0 -1.56109 Abs err 1.5611 exceeds tol 1e-10 by 2 (3,5) -0.477881 0 Abs err 0.47788 exceeds tol 1e-10 by 0.5 (4,5) -0.286755 -0.823033 Abs err 0.53628 exceeds tol 1e-10 by 0.5 (5,5) 3.12911 4.01774 Abs err 0.88863 exceeds tol 1e-10 by 0.9 (6,5) -0.60909 -1.76078 Abs err 1.1517 exceeds tol 1e-10 by 1 (7,5) -0.29933 1.03957 Abs err 1.3389 exceeds tol 1e-10 by 1 (9,5) -0.353476 0 Abs err 0.35348 exceeds tol 1e-10 by 0.4 (10,5) -1.89628 0.314995 Abs err 2.2113 exceeds tol 1e-10 by 2 (11,5) -1.86673 0.388286 Abs err 2.255 exceeds tol 1e-10 by 2 (13,5) 0 0.145041 Abs err 0.14504 exceeds tol 1e-10 by 0.1 (14,5) 0.217716 -0.235869 Abs err 0.45359 exceeds tol 1e-10 by 0.5 (15,5) -1.56109 -1.33103 Abs err 0.23006 exceeds tol 1e-10 by 0.2 (16,5) -1.68914 2.13374 Abs err 3.8229 exceeds tol 1e-10 by 4 (17,5) -1.36687 -1.19779 Abs err 0.16908 exceeds tol 1e-10 by 0.2 (18,5) -0.0703152 0.130171 Abs err 0.20049 exceeds tol 1e-10 by 0.2 (19,5) 2.84495e-16 -0.727038 Abs err 0.72704 exceeds tol 1e-10 by 0.7 (20,5) -4.44089e-16 0.266285 Abs err 0.26628 exceeds tol 1e-10 by 0.3 (2,6) -2.09817 0.217716 Abs err 2.3159 exceeds tol 1e-10 by 2 (3,6) 0.379033 0.101442 Abs err 0.27759 exceeds tol 1e-10 by 0.3 (4,6) -3.21936 0.935795 Abs err 4.1552 exceeds tol 1e-10 by 4 (5,6) -0.60909 -1.76078 Abs err 1.1517 exceeds tol 1e-10 by 1 (6,6) 9.13688 4.34742 Abs err 4.7895 exceeds tol 1e-10 by 5 (7,6) -0.140193 -0.922597 Abs err 0.7824 exceeds tol 1e-10 by 0.8 (8,6) 1.95974 0 Abs err 1.9597 exceeds tol 1e-10 by 2 (9,6) 0.73352 0.317536 Abs err 0.41598 exceeds tol 1e-10 by 0.4 (10,6) -0.783883 0 Abs err 0.78388 exceeds tol 1e-10 by 0.8 (11,6) 2.66477 -0.90796 Abs err 3.5727 exceeds tol 1e-10 by 4 (12,6) 0.0018151 0 Abs err 0.0018151 exceeds tol 1e-10 by 0.002 (13,6) 0 0.0972075 Abs err 0.097208 exceeds tol 1e-10 by 0.1 (14,6) 0.0972075 -0.158082 Abs err 0.25529 exceeds tol 1e-10 by 0.3 (15,6) 0.145041 -0.892069 Abs err 1.0371 exceeds tol 1e-10 by 1 (16,6) -0.746437 -1.04877 Abs err 0.30233 exceeds tol 1e-10 by 0.3 (17,6) 0.252095 -1.68664 Abs err 1.9387 exceeds tol 1e-10 by 2 (18,6) -0.614017 -0.650717 Abs err 0.036699 exceeds tol 1e-10 by 0.04 (19,6) -1.84013 2.23051 Abs err 4.0706 exceeds tol 1e-10 by 4 (20,6) 9.02056e-16 -0.211672 Abs err 0.21167 exceeds tol 1e-10 by 0.2 (2,7) 0 -1.36687 Abs err 1.3669 exceeds tol 1e-10 by 1 (3,7) 0.777828 0 Abs err 0.77783 exceeds tol 1e-10 by 0.8 (4,7) 0.754172 1.89822 Abs err 1.144 exceeds tol 1e-10 by 1 (5,7) -0.29933 1.03957 Abs err 1.3389 exceeds tol 1e-10 by 1 (6,7) -0.140193 -0.922597 Abs err 0.7824 exceeds tol 1e-10 by 0.8 (7,7) 1.82236 7.95889 Abs err 6.1365 exceeds tol 1e-10 by 6 (8,7) -0.347634 0.15189 Abs err 0.49952 exceeds tol 1e-10 by 0.5 (9,7) -0.056348 3.13171 Abs err 3.1881 exceeds tol 1e-10 by 3 (10,7) 1.27477 2.42048 Abs err 1.1457 exceeds tol 1e-10 by 1 (11,7) -0.372298 0.21598 Abs err 0.58828 exceeds tol 1e-10 by 0.6 (12,7) -0.277287 0 Abs err 0.27729 exceeds tol 1e-10 by 0.3 (13,7) 0 0.252095 Abs err 0.2521 exceeds tol 1e-10 by 0.3 (14,7) -0.158082 0 Abs err 0.15808 exceeds tol 1e-10 by 0.2 (15,7) -0.235869 0 Abs err 0.23587 exceeds tol 1e-10 by 0.2 (16,7) 0.0432546 0.402939 Abs err 0.35968 exceeds tol 1e-10 by 0.4 (17,7) -2.05998e-17 -0.190752 Abs err 0.19075 exceeds tol 1e-10 by 0.2 (18,7) 0.466198 -0.181725 Abs err 0.64792 exceeds tol 1e-10 by 0.6 (19,7) 5.55112e-17 -1.2952 Abs err 1.2952 exceeds tol 1e-10 by 1 (20,7) 2.08383 -4.98282 Abs err 7.0667 exceeds tol 1e-10 by 7 (2,8) 0 -0.477881 Abs err 0.47788 exceeds tol 1e-10 by 0.5 (3,8) -0.446929 0 Abs err 0.44693 exceeds tol 1e-10 by 0.4 (4,8) -0.765627 0 Abs err 0.76563 exceeds tol 1e-10 by 0.8 (6,8) 1.95974 0 Abs err 1.9597 exceeds tol 1e-10 by 2 (7,8) -0.347634 0.15189 Abs err 0.49952 exceeds tol 1e-10 by 0.5 (8,8) 3.61294 1.22837 Abs err 2.3846 exceeds tol 1e-10 by 2 (9,8) -1.64141 -0.446929 Abs err 1.1945 exceeds tol 1e-10 by 1 (10,8) -1.39999 0.969588 Abs err 2.3696 exceeds tol 1e-10 by 2 (11,8) -0.249948 -0.0724427 Abs err 0.17751 exceeds tol 1e-10 by 0.2 (12,8) 1.1079 2.67904 Abs err 1.5711 exceeds tol 1e-10 by 2 (13,8) 0 0.379033 Abs err 0.37903 exceeds tol 1e-10 by 0.4 (14,8) 0.317536 0.777828 Abs err 0.46029 exceeds tol 1e-10 by 0.5 (17,8) 3.13171 0 Abs err 3.1317 exceeds tol 1e-10 by 3 (18,8) 0.84272 -0.273229 Abs err 1.1159 exceeds tol 1e-10 by 1 (19,8) -2.7403 0 Abs err 2.7403 exceeds tol 1e-10 by 3 (20,8) -1.19734 0 Abs err 1.1973 exceeds tol 1e-10 by 1 (2,9) -0.335674 0 Abs err 0.33567 exceeds tol 1e-10 by 0.3 (3,9) -0.0724427 0 Abs err 0.072443 exceeds tol 1e-10 by 0.07 (4,9) -0.011201 1.1079 Abs err 1.1191 exceeds tol 1e-10 by 1 (5,9) -0.353476 0 Abs err 0.35348 exceeds tol 1e-10 by 0.4 (6,9) 0.73352 0.317536 Abs err 0.41598 exceeds tol 1e-10 by 0.4 (7,9) -0.056348 3.13171 Abs err 3.1881 exceeds tol 1e-10 by 3 (8,9) -1.64141 -0.446929 Abs err 1.1945 exceeds tol 1e-10 by 1 (9,9) 4.9814 3.61294 Abs err 1.3685 exceeds tol 1e-10 by 1 (10,9) 4.03208 -0.765627 Abs err 4.7977 exceeds tol 1e-10 by 5 (11,9) 1.52496 -1.64141 Abs err 3.1664 exceeds tol 1e-10 by 3 (12,9) 0 -1.19734 Abs err 1.1973 exceeds tol 1e-10 by 1 (13,9) 0 1.95974 Abs err 1.9597 exceeds tol 1e-10 by 2 (14,9) -0.90796 -0.347634 Abs err 0.56033 exceeds tol 1e-10 by 0.6 (15,9) 0.388286 0 Abs err 0.38829 exceeds tol 1e-10 by 0.4 (16,9) -4.996e-16 -0.249948 Abs err 0.24995 exceeds tol 1e-10 by 0.2 (17,9) 0.21598 -1.39999 Abs err 1.616 exceeds tol 1e-10 by 2 (18,9) -2.22562 0.84272 Abs err 3.0683 exceeds tol 1e-10 by 3 (19,9) -0.774574 0 Abs err 0.77457 exceeds tol 1e-10 by 0.8 (20,9) -0.194077 -2.7403 Abs err 2.5462 exceeds tol 1e-10 by 3 (1,10) 0.668626 0 Abs err 0.66863 exceeds tol 1e-10 by 0.7 (2,10) 0 -0.286755 Abs err 0.28676 exceeds tol 1e-10 by 0.3 (4,10) 0.0234857 0.794305 Abs err 0.77082 exceeds tol 1e-10 by 0.8 (5,10) -1.89628 0.314995 Abs err 2.2113 exceeds tol 1e-10 by 2 (6,10) -0.783883 0 Abs err 0.78388 exceeds tol 1e-10 by 0.8 (7,10) 1.27477 2.42048 Abs err 1.1457 exceeds tol 1e-10 by 1 (8,10) -1.39999 0.969588 Abs err 2.3696 exceeds tol 1e-10 by 2 (9,10) 4.03208 -0.765627 Abs err 4.7977 exceeds tol 1e-10 by 5 (10,10) 11.3604 4.67136 Abs err 6.689 exceeds tol 1e-10 by 7 (11,10) 0.954767 -0.011201 Abs err 0.96597 exceeds tol 1e-10 by 1 (12,10) -0.0938495 2.78249 Abs err 2.8763 exceeds tol 1e-10 by 3 (13,10) -0.738217 -3.21936 Abs err 2.4811 exceeds tol 1e-10 by 2 (14,10) -1.68664 0.754172 Abs err 2.4408 exceeds tol 1e-10 by 2 (15,10) -1.19779 0.212671 Abs err 1.4105 exceeds tol 1e-10 by 1 (16,10) 7.19366 0.311786 Abs err 6.8819 exceeds tol 1e-10 by 7 (17,10) -0.190752 0.0234857 Abs err 0.21424 exceeds tol 1e-10 by 0.2 (18,10) 0.872849 -0.105738 Abs err 0.97859 exceeds tol 1e-10 by 1 (19,10) -0.401635 0 Abs err 0.40163 exceeds tol 1e-10 by 0.4 (20,10) 2.77556e-17 -2.08505 Abs err 2.0851 exceeds tol 1e-10 by 2 (1,11) -0.111087 -0.335674 Abs err 0.22459 exceeds tol 1e-10 by 0.2 (2,11) -1.21834 -0.353476 Abs err 0.86486 exceeds tol 1e-10 by 0.9 (4,11) 0.311786 0 Abs err 0.31179 exceeds tol 1e-10 by 0.3 (5,11) -1.86673 0.388286 Abs err 2.255 exceeds tol 1e-10 by 2 (6,11) 2.66477 -0.90796 Abs err 3.5727 exceeds tol 1e-10 by 4 (7,11) -0.372298 0.21598 Abs err 0.58828 exceeds tol 1e-10 by 0.6 (8,11) -0.249948 -0.0724427 Abs err 0.17751 exceeds tol 1e-10 by 0.2 (9,11) 1.52496 -1.64141 Abs err 3.1664 exceeds tol 1e-10 by 3 (10,11) 0.954767 -0.011201 Abs err 0.96597 exceeds tol 1e-10 by 1 (11,11) 6.73415 4.9814 Abs err 1.7528 exceeds tol 1e-10 by 2 (12,11) 0.103233 -0.194077 Abs err 0.29731 exceeds tol 1e-10 by 0.3 (13,11) 6.93889e-17 0.73352 Abs err 0.73352 exceeds tol 1e-10 by 0.7 (14,11) -1.04877 -0.056348 Abs err 0.99242 exceeds tol 1e-10 by 1 (15,11) 2.13374 0 Abs err 2.1337 exceeds tol 1e-10 by 2 (16,11) -0.394519 1.52496 Abs err 1.9195 exceeds tol 1e-10 by 2 (17,11) 0.402939 4.03208 Abs err 3.6291 exceeds tol 1e-10 by 4 (18,11) -0.332353 -2.22562 Abs err 1.8933 exceeds tol 1e-10 by 2 (19,11) -2.31028 0 Abs err 2.3103 exceeds tol 1e-10 by 2 (20,11) 0.811266 -0.774574 Abs err 1.5858 exceeds tol 1e-10 by 2 (1,12) -0.140362 0 Abs err 0.14036 exceeds tol 1e-10 by 0.1 (4,12) 0.794305 -0.89943 Abs err 1.6937 exceeds tol 1e-10 by 2 (6,12) 0.0018151 0 Abs err 0.0018151 exceeds tol 1e-10 by 0.002 (7,12) -0.277287 0 Abs err 0.27729 exceeds tol 1e-10 by 0.3 (8,12) 1.1079 2.67904 Abs err 1.5711 exceeds tol 1e-10 by 2 (9,12) 0 -1.19734 Abs err 1.1973 exceeds tol 1e-10 by 1 (10,12) -0.0938495 2.78249 Abs err 2.8763 exceeds tol 1e-10 by 3 (11,12) 0.103233 -0.194077 Abs err 0.29731 exceeds tol 1e-10 by 0.3 (12,12) 3.35653 9.9234 Abs err 6.5669 exceeds tol 1e-10 by 7 (13,12) 2.29866 0 Abs err 2.2987 exceeds tol 1e-10 by 2 (14,12) 0.935795 2.08383 Abs err 1.148 exceeds tol 1e-10 by 1 (15,12) -0.823033 1.88762 Abs err 2.7107 exceeds tol 1e-10 by 3 (16,12) 0.328091 0.811266 Abs err 0.48318 exceeds tol 1e-10 by 0.5 (17,12) 1.89822 0 Abs err 1.8982 exceeds tol 1e-10 by 2 (18,12) -1.92398 0.4817 Abs err 2.4057 exceeds tol 1e-10 by 2 (19,12) -1.70941 0.517848 Abs err 2.2273 exceeds tol 1e-10 by 2 (20,12) -0.89943 -2.24956 Abs err 1.3501 exceeds tol 1e-10 by 1 (1,13) -1.10408 -2.09817 Abs err 0.99409 exceeds tol 1e-10 by 1 (2,13) 0 -0.60909 Abs err 0.60909 exceeds tol 1e-10 by 0.6 (4,13) 0 0.0018151 Abs err 0.0018151 exceeds tol 1e-10 by 0.002 (5,13) 0 0.145041 Abs err 0.14504 exceeds tol 1e-10 by 0.1 (6,13) 0 0.0972075 Abs err 0.097208 exceeds tol 1e-10 by 0.1 (7,13) 0 0.252095 Abs err 0.2521 exceeds tol 1e-10 by 0.3 (8,13) 0 0.379033 Abs err 0.37903 exceeds tol 1e-10 by 0.4 (9,13) 0 1.95974 Abs err 1.9597 exceeds tol 1e-10 by 2 (10,13) -0.738217 -3.21936 Abs err 2.4811 exceeds tol 1e-10 by 2 (11,13) 6.93889e-17 0.73352 Abs err 0.73352 exceeds tol 1e-10 by 0.7 (12,13) 2.29866 0 Abs err 2.2987 exceeds tol 1e-10 by 2 (13,13) 6.48674 9.13688 Abs err 2.6501 exceeds tol 1e-10 by 3 (14,13) 2.23051 -0.140193 Abs err 2.3707 exceeds tol 1e-10 by 2 (15,13) -0.727038 -0.746437 Abs err 0.019398 exceeds tol 1e-10 by 0.02 (16,13) 1.86311 2.66477 Abs err 0.80166 exceeds tol 1e-10 by 0.8 (17,13) -1.2952 -0.783883 Abs err 0.51132 exceeds tol 1e-10 by 0.5 (18,13) -2.11643 -0.614017 Abs err 1.5024 exceeds tol 1e-10 by 2 (19,13) -1.64041 0 Abs err 1.6404 exceeds tol 1e-10 by 2 (20,13) 0.517848 -1.84013 Abs err 2.358 exceeds tol 1e-10 by 2 (1,14) 0.101442 0 Abs err 0.10144 exceeds tol 1e-10 by 0.1 (2,14) 0 -0.29933 Abs err 0.29933 exceeds tol 1e-10 by 0.3 (4,14) 0 -0.277287 Abs err 0.27729 exceeds tol 1e-10 by 0.3 (5,14) 0.217716 -0.235869 Abs err 0.45359 exceeds tol 1e-10 by 0.5 (6,14) 0.0972075 -0.158082 Abs err 0.25529 exceeds tol 1e-10 by 0.3 (7,14) -0.158082 0 Abs err 0.15808 exceeds tol 1e-10 by 0.2 (8,14) 0.317536 0.777828 Abs err 0.46029 exceeds tol 1e-10 by 0.5 (9,14) -0.90796 -0.347634 Abs err 0.56033 exceeds tol 1e-10 by 0.6 (10,14) -1.68664 0.754172 Abs err 2.4408 exceeds tol 1e-10 by 2 (11,14) -1.04877 -0.056348 Abs err 0.99242 exceeds tol 1e-10 by 1 (12,14) 0.935795 2.08383 Abs err 1.148 exceeds tol 1e-10 by 1 (13,14) 2.23051 -0.140193 Abs err 2.3707 exceeds tol 1e-10 by 2 (14,14) 4.34742 1.82236 Abs err 2.5251 exceeds tol 1e-10 by 3 (15,14) -1.76078 0.0432546 Abs err 1.804 exceeds tol 1e-10 by 2 (16,14) -0.892069 -0.372298 Abs err 0.51977 exceeds tol 1e-10 by 0.5 (17,14) -0.922597 1.27477 Abs err 2.1974 exceeds tol 1e-10 by 2 (18,14) -0.650717 0.466198 Abs err 1.1169 exceeds tol 1e-10 by 1 (19,14) -0.211672 0 Abs err 0.21167 exceeds tol 1e-10 by 0.2 (2,15) 0 -1.68914 Abs err 1.6891 exceeds tol 1e-10 by 2 (4,15) 0.314995 0.328091 Abs err 0.013097 exceeds tol 1e-10 by 0.01 (5,15) -1.56109 -1.33103 Abs err 0.23006 exceeds tol 1e-10 by 0.2 (6,15) 0.145041 -0.892069 Abs err 1.0371 exceeds tol 1e-10 by 1 (7,15) -0.235869 0 Abs err 0.23587 exceeds tol 1e-10 by 0.2 (9,15) 0.388286 0 Abs err 0.38829 exceeds tol 1e-10 by 0.4 (10,15) -1.19779 0.212671 Abs err 1.4105 exceeds tol 1e-10 by 1 (11,15) 2.13374 0 Abs err 2.1337 exceeds tol 1e-10 by 2 (12,15) -0.823033 1.88762 Abs err 2.7107 exceeds tol 1e-10 by 3 (13,15) -0.727038 -0.746437 Abs err 0.019398 exceeds tol 1e-10 by 0.02 (14,15) -1.76078 0.0432546 Abs err 1.804 exceeds tol 1e-10 by 2 (15,15) 4.01774 12.1192 Abs err 8.1015 exceeds tol 1e-10 by 8 (16,15) -1.33103 -0.394519 Abs err 0.93651 exceeds tol 1e-10 by 0.9 (17,15) 1.03957 7.19366 Abs err 6.1541 exceeds tol 1e-10 by 6 (18,15) 0.130171 1.93501 Abs err 1.8048 exceeds tol 1e-10 by 2 (19,15) 0.266285 1.86311 Abs err 1.5968 exceeds tol 1e-10 by 2 (20,15) 9.71445e-17 -1.31784 Abs err 1.3178 exceeds tol 1e-10 by 1 (1,16) 0 -1.21834 Abs err 1.2183 exceeds tol 1e-10 by 1 (2,16) 0 -1.86673 Abs err 1.8667 exceeds tol 1e-10 by 2 (3,16) 0 -0.111087 Abs err 0.11109 exceeds tol 1e-10 by 0.1 (4,16) 0.212671 0.103233 Abs err 0.10944 exceeds tol 1e-10 by 0.1 (5,16) -1.68914 2.13374 Abs err 3.8229 exceeds tol 1e-10 by 4 (6,16) -0.746437 -1.04877 Abs err 0.30233 exceeds tol 1e-10 by 0.3 (7,16) 0.0432546 0.402939 Abs err 0.35968 exceeds tol 1e-10 by 0.4 (9,16) -4.996e-16 -0.249948 Abs err 0.24995 exceeds tol 1e-10 by 0.2 (10,16) 7.19366 0.311786 Abs err 6.8819 exceeds tol 1e-10 by 7 (11,16) -0.394519 1.52496 Abs err 1.9195 exceeds tol 1e-10 by 2 (12,16) 0.328091 0.811266 Abs err 0.48318 exceeds tol 1e-10 by 0.5 (13,16) 1.86311 2.66477 Abs err 0.80166 exceeds tol 1e-10 by 0.8 (14,16) -0.892069 -0.372298 Abs err 0.51977 exceeds tol 1e-10 by 0.5 (15,16) -1.33103 -0.394519 Abs err 0.93651 exceeds tol 1e-10 by 0.9 (16,16) 12.1192 6.73415 Abs err 5.385 exceeds tol 1e-10 by 5 (17,16) 8.88178e-16 0.954767 Abs err 0.95477 exceeds tol 1e-10 by 1 (18,16) 1.93501 -0.332353 Abs err 2.2674 exceeds tol 1e-10 by 2 (19,16) -1.31784 0 Abs err 1.3178 exceeds tol 1e-10 by 1 (20,16) 1.88762 -2.31028 Abs err 4.1979 exceeds tol 1e-10 by 4 (2,17) 0 -1.89628 Abs err 1.8963 exceeds tol 1e-10 by 2 (3,17) 0.15189 0.668626 Abs err 0.51674 exceeds tol 1e-10 by 0.5 (4,17) 2.42048 -0.0938495 Abs err 2.5143 exceeds tol 1e-10 by 3 (5,17) -1.36687 -1.19779 Abs err 0.16908 exceeds tol 1e-10 by 0.2 (6,17) 0.252095 -1.68664 Abs err 1.9387 exceeds tol 1e-10 by 2 (7,17) -2.05998e-17 -0.190752 Abs err 0.19075 exceeds tol 1e-10 by 0.2 (8,17) 3.13171 0 Abs err 3.1317 exceeds tol 1e-10 by 3 (9,17) 0.21598 -1.39999 Abs err 1.616 exceeds tol 1e-10 by 2 (10,17) -0.190752 0.0234857 Abs err 0.21424 exceeds tol 1e-10 by 0.2 (11,17) 0.402939 4.03208 Abs err 3.6291 exceeds tol 1e-10 by 4 (12,17) 1.89822 0 Abs err 1.8982 exceeds tol 1e-10 by 2 (13,17) -1.2952 -0.783883 Abs err 0.51132 exceeds tol 1e-10 by 0.5 (14,17) -0.922597 1.27477 Abs err 2.1974 exceeds tol 1e-10 by 2 (15,17) 1.03957 7.19366 Abs err 6.1541 exceeds tol 1e-10 by 6 (16,17) 8.88178e-16 0.954767 Abs err 0.95477 exceeds tol 1e-10 by 1 (17,17) 7.95889 11.3604 Abs err 3.4015 exceeds tol 1e-10 by 3 (18,17) -0.181725 0.872849 Abs err 1.0546 exceeds tol 1e-10 by 1 (19,17) -4.98282 -0.738217 Abs err 4.2446 exceeds tol 1e-10 by 4 (20,17) -5.55112e-17 -0.401635 Abs err 0.40163 exceeds tol 1e-10 by 0.4 (1,18) 0 -0.43663 Abs err 0.43663 exceeds tol 1e-10 by 0.4 (2,18) -0.43663 -0.0703152 Abs err 0.36632 exceeds tol 1e-10 by 0.4 (3,18) -0.273229 0 Abs err 0.27323 exceeds tol 1e-10 by 0.3 (4,18) -0.105738 -1.92398 Abs err 1.8182 exceeds tol 1e-10 by 2 (5,18) -0.0703152 0.130171 Abs err 0.20049 exceeds tol 1e-10 by 0.2 (6,18) -0.614017 -0.650717 Abs err 0.036699 exceeds tol 1e-10 by 0.04 (7,18) 0.466198 -0.181725 Abs err 0.64792 exceeds tol 1e-10 by 0.6 (8,18) 0.84272 -0.273229 Abs err 1.1159 exceeds tol 1e-10 by 1 (9,18) -2.22562 0.84272 Abs err 3.0683 exceeds tol 1e-10 by 3 (10,18) 0.872849 -0.105738 Abs err 0.97859 exceeds tol 1e-10 by 1 (11,18) -0.332353 -2.22562 Abs err 1.8933 exceeds tol 1e-10 by 2 (12,18) -1.92398 0.4817 Abs err 2.4057 exceeds tol 1e-10 by 2 (13,18) -2.11643 -0.614017 Abs err 1.5024 exceeds tol 1e-10 by 2 (14,18) -0.650717 0.466198 Abs err 1.1169 exceeds tol 1e-10 by 1 (15,18) 0.130171 1.93501 Abs err 1.8048 exceeds tol 1e-10 by 2 (16,18) 1.93501 -0.332353 Abs err 2.2674 exceeds tol 1e-10 by 2 (17,18) -0.181725 0.872849 Abs err 1.0546 exceeds tol 1e-10 by 1 (19,18) 2.64391 -2.11643 Abs err 4.7603 exceeds tol 1e-10 by 5 (20,18) 0.4817 2.64391 Abs err 2.1622 exceeds tol 1e-10 by 2 (2,19) -2.04904 0 Abs err 2.049 exceeds tol 1e-10 by 2 (3,19) 0 -1.10408 Abs err 1.1041 exceeds tol 1e-10 by 1 (4,19) -2.08505 2.29866 Abs err 4.3837 exceeds tol 1e-10 by 4 (5,19) 2.84495e-16 -0.727038 Abs err 0.72704 exceeds tol 1e-10 by 0.7 (6,19) -1.84013 2.23051 Abs err 4.0706 exceeds tol 1e-10 by 4 (7,19) 5.55112e-17 -1.2952 Abs err 1.2952 exceeds tol 1e-10 by 1 (8,19) -2.7403 0 Abs err 2.7403 exceeds tol 1e-10 by 3 (9,19) -0.774574 0 Abs err 0.77457 exceeds tol 1e-10 by 0.8 (10,19) -0.401635 0 Abs err 0.40163 exceeds tol 1e-10 by 0.4 (11,19) -2.31028 0 Abs err 2.3103 exceeds tol 1e-10 by 2 (12,19) -1.70941 0.517848 Abs err 2.2273 exceeds tol 1e-10 by 2 (13,19) -1.64041 0 Abs err 1.6404 exceeds tol 1e-10 by 2 (14,19) -0.211672 0 Abs err 0.21167 exceeds tol 1e-10 by 0.2 (15,19) 0.266285 1.86311 Abs err 1.5968 exceeds tol 1e-10 by 2 (16,19) -1.31784 0 Abs err 1.3178 exceeds tol 1e-10 by 1 (17,19) -4.98282 -0.738217 Abs err 4.2446 exceeds tol 1e-10 by 4 (18,19) 2.64391 -2.11643 Abs err 4.7603 exceeds tol 1e-10 by 5 (19,19) 22.4033 6.48674 Abs err 15.917 exceeds tol 1e-10 by 2e+01 (20,19) -2.24956 -1.64041 Abs err 0.60915 exceeds tol 1e-10 by 0.6 (1,20) 0 -2.04904 Abs err 2.049 exceeds tol 1e-10 by 2 (3,20) 2.67904 0 Abs err 2.679 exceeds tol 1e-10 by 3 (4,20) 2.78249 -1.70941 Abs err 4.4919 exceeds tol 1e-10 by 4 (5,20) -4.44089e-16 0.266285 Abs err 0.26628 exceeds tol 1e-10 by 0.3 (6,20) 9.02056e-16 -0.211672 Abs err 0.21167 exceeds tol 1e-10 by 0.2 (7,20) 2.08383 -4.98282 Abs err 7.0667 exceeds tol 1e-10 by 7 (8,20) -1.19734 0 Abs err 1.1973 exceeds tol 1e-10 by 1 (9,20) -0.194077 -2.7403 Abs err 2.5462 exceeds tol 1e-10 by 3 (10,20) 2.77556e-17 -2.08505 Abs err 2.0851 exceeds tol 1e-10 by 2 (11,20) 0.811266 -0.774574 Abs err 1.5858 exceeds tol 1e-10 by 2 (12,20) -0.89943 -2.24956 Abs err 1.3501 exceeds tol 1e-10 by 1 (13,20) 0.517848 -1.84013 Abs err 2.358 exceeds tol 1e-10 by 2 (15,20) 9.71445e-17 -1.31784 Abs err 1.3178 exceeds tol 1e-10 by 1 (16,20) 1.88762 -2.31028 Abs err 4.1979 exceeds tol 1e-10 by 4 (17,20) -5.55112e-17 -0.401635 Abs err 0.40163 exceeds tol 1e-10 by 0.4 (18,20) 0.4817 2.64391 Abs err 2.1622 exceeds tol 1e-10 by 2 (19,20) -2.24956 -1.64041 Abs err 0.60915 exceeds tol 1e-10 by 0.6 (20,20) 9.9234 22.4033 Abs err 12.48 exceeds tol 1e-10 by 1e+01 ***** testif HAVE_CXSPARSE n = 20; d = 0.2; ## initialize generators to make behavior reproducible rand ("state", 42); randn ("state", 42); a = sprandn (n,n,d) + speye (n,n); [c,r] = qr (a, ones (n,1)); assert (r\c, full (a)\ones (n,1), 10e-10); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_CXSPARSE n = 20; d = 0.2; ## initialize generators to make behavior reproducible rand ("state", 42); randn ("state", 42); a = sprandn (n,n,d) + speye (n,n); b = randn (n,2); [c,r] = qr (a, b); assert (r\c, full (a)\b, 10e-10); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_CXSPARSE n = 20; d = 0.2; ## initialize generators to make behavior reproducible rand ("state", 42); randn ("state", 42); a = 1i*sprandn (n,n,d) + speye (n,n); r = qr (a); assert (r'*r,a'*a,1e-10); !!!!! test failed ASSERT errors for: assert (r' * r,a' * a,1e-10) Location | Observed | Expected | Reason (1,1) 1.01234+0i 1.22837+0i Abs err 0.21603 exceeds tol 1e-10 by 0.2 (2,1) 0+0i 0-0.969588i Abs err 0.96959 exceeds tol 1e-10 by 1 (3,1) 0+0i 0+0.446929i Abs err 0.44693 exceeds tol 1e-10 by 0.4 (4,1) 0+0i 0+0.0724427i Abs err 0.072443 exceeds tol 1e-10 by 0.07 (6,1) 0+0i 0-2.67904i Abs err 2.679 exceeds tol 1e-10 by 3 (8,1) 0+0i -0.273229+0i Abs err 0.27323 exceeds tol 1e-10 by 0.3 (11,1) 0+0i 0-0.477881i Abs err 0.47788 exceeds tol 1e-10 by 0.5 (12,1) 1.74539e-18+0.140362i 0+0i Abs err 0.14036 exceeds tol 1e-10 by 0.1 (13,1) 0+0i 0.379033+0i Abs err 0.37903 exceeds tol 1e-10 by 0.4 (14,1) 0+1.10408i 0+0i Abs err 1.1041 exceeds tol 1e-10 by 1 (15,1) 0.101442+0i 0+0i Abs err 0.10144 exceeds tol 1e-10 by 0.1 (16,1) 0+0i 0-0.777828i Abs err 0.77783 exceeds tol 1e-10 by 0.8 (18,1) 0-0.668626i 0+0i Abs err 0.66863 exceeds tol 1e-10 by 0.7 (19,1) 0-0.111087i 0+0i Abs err 0.11109 exceeds tol 1e-10 by 0.1 (20,1) 0+0i 0.15189+0i Abs err 0.15189 exceeds tol 1e-10 by 0.2 (1,2) 0+0i 0+0.969588i Abs err 0.96959 exceeds tol 1e-10 by 1 (2,2) 2.01174+0i 4.73278+0i Abs err 2.721 exceeds tol 1e-10 by 3 (3,2) 0+0i -0.474854-2.99472i Abs err 3.0321 exceeds tol 1e-10 by 3 (4,2) 0+0i 0.207648-0.218849i Abs err 0.30168 exceeds tol 1e-10 by 0.3 (5,2) -0.335674+0i -0.0251644-0.81947i Abs err 0.87633 exceeds tol 1e-10 by 0.9 (6,2) 0+0i 2.78249+0i Abs err 2.7825 exceeds tol 1e-10 by 3 (7,2) -1.11829-0.979881i 0.314995+0i Abs err 1.7362 exceeds tol 1e-10 by 2 (8,2) 0+0i -0.105738+0i Abs err 0.10574 exceeds tol 1e-10 by 0.1 (9,2) 0+0i 0.311786+0i Abs err 0.31179 exceeds tol 1e-10 by 0.3 (10,2) 0.128292+0.564922i 0+0i Abs err 0.57931 exceeds tol 1e-10 by 0.6 (11,2) 1.69156+3.7406i -0.286755+0i Abs err 4.2315 exceeds tol 1e-10 by 4 (13,2) 0+0i -3.21936+0i Abs err 3.2194 exceeds tol 1e-10 by 3 (14,2) 0+0i 0.0660565+2.15111i Abs err 2.1521 exceeds tol 1e-10 by 2 (15,2) 0+0i 0+0.212671i Abs err 0.21267 exceeds tol 1e-10 by 0.2 (16,2) 0+0i 0.754172+0i Abs err 0.75417 exceeds tol 1e-10 by 0.8 (18,2) 0+0i 0.0234857+0i Abs err 0.023486 exceeds tol 1e-10 by 0.02 (19,2) -1.21834+0i 0+0i Abs err 1.2183 exceeds tol 1e-10 by 1 (20,2) 0+0i 0.10408-2.3164i Abs err 2.3187 exceeds tol 1e-10 by 2 (1,3) 0+0i 0-0.446929i Abs err 0.44693 exceeds tol 1e-10 by 0.4 (2,3) 0+0i -0.474854+2.99472i Abs err 3.0321 exceeds tol 1e-10 by 3 (3,3) 1.22837+0i 3.61294+0i Abs err 2.3846 exceeds tol 1e-10 by 2 (4,3) 0+0.446929i -1.64141+0i Abs err 1.7012 exceeds tol 1e-10 by 2 (5,3) 0+0.0724427i 1.1079+0i Abs err 1.1103 exceeds tol 1e-10 by 1 (6,3) 0-0.777828i -1.19734+0i Abs err 1.4278 exceeds tol 1e-10 by 1 (7,3) 0.379033+0i 0+0i Abs err 0.37903 exceeds tol 1e-10 by 0.4 (8,3) 0-0.477881i 0.778353-0.0643667i Abs err 0.88138 exceeds tol 1e-10 by 0.9 (9,3) 0-0.969588i -0.249948+0i Abs err 1.0013 exceeds tol 1e-10 by 1 (10,3) -0.273229+0i 0+0i Abs err 0.27323 exceeds tol 1e-10 by 0.3 (13,3) 0+0i 0-1.95974i Abs err 1.9597 exceeds tol 1e-10 by 2 (14,3) 0+0i -2.7403+0i Abs err 2.7403 exceeds tol 1e-10 by 3 (16,3) 0-2.67904i -0.347634+0i Abs err 2.7015 exceeds tol 1e-10 by 3 (17,3) 0+0i 0.317536+0i Abs err 0.31754 exceeds tol 1e-10 by 0.3 (18,3) 0+0i -0.634901-0.765092i Abs err 0.99422 exceeds tol 1e-10 by 1 (20,3) 0.15189+0i 3.13171+0i Abs err 2.9798 exceeds tol 1e-10 by 3 (1,4) 0+0i 0-0.0724427i Abs err 0.072443 exceeds tol 1e-10 by 0.07 (2,4) 0+0i 0.207648+0.218849i Abs err 0.30168 exceeds tol 1e-10 by 0.3 (3,4) 0-0.446929i -1.64141+0i Abs err 1.7012 exceeds tol 1e-10 by 2 (4,4) 3.61294+0i 7.52094+0i Abs err 3.908 exceeds tol 1e-10 by 4 (5,4) -1.64141+0i 0+0i Abs err 1.6414 exceeds tol 1e-10 by 2 (6,4) -0.347634+0i -0.194077+0i Abs err 0.15356 exceeds tol 1e-10 by 0.2 (7,4) 0-1.95974i 1.82761+1.43933i Abs err 3.8593 exceeds tol 1e-10 by 4 (8,4) 1.38778e-16+0i -2.22562+0i Abs err 2.2256 exceeds tol 1e-10 by 2 (9,4) -0.474854+2.99472i 2.94963+1.42467i Abs err 3.7672 exceeds tol 1e-10 by 4 (10,4) 0.778353-0.0643667i 0+0i Abs err 0.78101 exceeds tol 1e-10 by 0.8 (11,4) -2.7403+0i -1.66377-1.31029i Abs err 1.6958 exceeds tol 1e-10 by 2 (12,4) 1.1079+0i 0+0i Abs err 1.1079 exceeds tol 1e-10 by 1 (13,4) 0+0i 0.390954+0.342566i Abs err 0.5198 exceeds tol 1e-10 by 0.5 (14,4) 0+0i -0.774574+0i Abs err 0.77457 exceeds tol 1e-10 by 0.8 (15,4) 0.317536+0i 0+0i Abs err 0.31754 exceeds tol 1e-10 by 0.3 (16,4) -1.19734+0i -0.056348+0i Abs err 1.141 exceeds tol 1e-10 by 1 (17,4) 0+0i -0.90796+0i Abs err 0.90796 exceeds tol 1e-10 by 0.9 (18,4) -0.634901-0.765092i 1.9517+2.29501i Abs err 4.0068 exceeds tol 1e-10 by 4 (19,4) -0.249948+0i -0.335674+0i Abs err 0.085726 exceeds tol 1e-10 by 0.09 (20,4) 3.13171+4.16334e-17i 1.01659+0.800611i Abs err 2.2616 exceeds tol 1e-10 by 2 (2,5) -0.335674+0i -0.0251644+0.81947i Abs err 0.87633 exceeds tol 1e-10 by 0.9 (3,5) 0-0.0724427i 1.1079+0i Abs err 1.1103 exceeds tol 1e-10 by 1 (4,5) -1.64141+0i 0+0i Abs err 1.6414 exceeds tol 1e-10 by 2 (5,5) 7.52094+0i 3.35653+0i Abs err 4.1644 exceeds tol 1e-10 by 4 (6,5) -0.056348+0i -0.89943+0i Abs err 0.84308 exceeds tol 1e-10 by 0.8 (7,5) 0.390954+0.342566i 0+0.823033i Abs err 0.61943 exceeds tol 1e-10 by 0.6 (8,5) -1.66377-1.31029i -1.6629+0.261079i Abs err 1.5714 exceeds tol 1e-10 by 2 (9,5) 0.207648+0.218849i 0.103233+0i Abs err 0.24248 exceeds tol 1e-10 by 0.2 (10,5) -2.22562+1.1601e-16i 0-0.140362i Abs err 2.23 exceeds tol 1e-10 by 2 (11,5) -0.774574+2.22045e-16i 0+0i Abs err 0.77457 exceeds tol 1e-10 by 0.8 (12,5) -1.11022e-16+0i 0.15497+0.376957i Abs err 0.40757 exceeds tol 1e-10 by 0.4 (13,5) 1.82761+1.43933i 0.0018151+0i Abs err 2.3249 exceeds tol 1e-10 by 2 (14,5) 0+0i -1.38587+0.323541i Abs err 1.4231 exceeds tol 1e-10 by 1 (15,5) -0.90796+0i 0.328091+0i Abs err 1.2361 exceeds tol 1e-10 by 1 (16,5) -0.194077-2.86397e-16i 0-0.277287i Abs err 0.33846 exceeds tol 1e-10 by 0.3 (17,5) 0+0i 0-0.935795i Abs err 0.93579 exceeds tol 1e-10 by 0.9 (18,5) 1.9517+2.29501i -0.0938495+0i Abs err 3.0743 exceeds tol 1e-10 by 3 (19,5) 2.94963+1.42467i 0+0i Abs err 3.2757 exceeds tol 1e-10 by 3 (20,5) 1.01659+0.800611i 1.89822+0i Abs err 1.1909 exceeds tol 1e-10 by 1 (1,6) 0+0i 0+2.67904i Abs err 2.679 exceeds tol 1e-10 by 3 (2,6) 0+0i 2.78249+0i Abs err 2.7825 exceeds tol 1e-10 by 3 (3,6) 0+0.777828i -1.19734+0i Abs err 1.4278 exceeds tol 1e-10 by 1 (4,6) -0.347634+0i -0.194077+0i Abs err 0.15356 exceeds tol 1e-10 by 0.2 (5,6) -0.056348+0i -0.89943+0i Abs err 0.84308 exceeds tol 1e-10 by 0.8 (6,6) 1.82236+0i 9.9234+0i Abs err 8.101 exceeds tol 1e-10 by 8 (7,6) -0.133647+0.00654592i 0+0i Abs err 0.13381 exceeds tol 1e-10 by 0.1 (8,6) -0.29933+1.38778e-17i 0.941609+0.459909i Abs err 1.3234 exceeds tol 1e-10 by 1 (9,6) 0.754172-1.38778e-17i 0.811266+0i Abs err 0.057094 exceeds tol 1e-10 by 0.06 (10,6) 4.77049e-18+0.466198i 0+0i Abs err 0.4662 exceeds tol 1e-10 by 0.5 (12,6) -1.73472e-17+0.277287i 0-1.94515i Abs err 2.2224 exceeds tol 1e-10 by 2 (13,6) -0.235869-7.80626e-17i 0+0i Abs err 0.23587 exceeds tol 1e-10 by 0.2 (14,6) 0+0i -0.213415+0.649455i Abs err 0.68362 exceeds tol 1e-10 by 0.7 (15,6) -0.158082+2.09931e-17i -0.494809-0.643327i Abs err 0.72612 exceeds tol 1e-10 by 0.7 (17,6) 1.22647+1.18322i 0+0i Abs err 1.7042 exceeds tol 1e-10 by 2 (18,6) 1.27477-5.9848e-17i 0+0i Abs err 1.2748 exceeds tol 1e-10 by 1 (19,6) 1.73472e-17+0.372298i 0+0i Abs err 0.3723 exceeds tol 1e-10 by 0.4 (2,7) -1.11829+0.979881i 0.314995+0i Abs err 1.7362 exceeds tol 1e-10 by 2 (3,7) 0.379033+0i 0+0i Abs err 0.37903 exceeds tol 1e-10 by 0.4 (4,7) 0+1.95974i 1.82761-1.43933i Abs err 3.8593 exceeds tol 1e-10 by 4 (5,7) 0.390954-0.342566i 0-0.823033i Abs err 0.61943 exceeds tol 1e-10 by 0.6 (6,7) -0.133647-0.00654592i 0+0i Abs err 0.13381 exceeds tol 1e-10 by 0.1 (7,7) 6.85437+0i 4.01774+0i Abs err 2.8366 exceeds tol 1e-10 by 3 (8,7) 0.184064-0.793154i 0.214877-0.927178i Abs err 0.13752 exceeds tol 1e-10 by 0.1 (9,7) -3.21936+5.55112e-17i 2.13374+0i Abs err 5.3531 exceeds tol 1e-10 by 5 (10,7) -0.327343-0.286674i 0+0i Abs err 0.43513 exceeds tol 1e-10 by 0.4 (11,7) -0.980759+0.859372i -1.56109+0i Abs err 1.037 exceeds tol 1e-10 by 1 (12,7) 0.0018151-1.11022e-16i -0.727038+0i Abs err 0.72885 exceeds tol 1e-10 by 0.7 (14,7) 0+0i 0.266285+0i Abs err 0.26628 exceeds tol 1e-10 by 0.3 (15,7) 0.0972075-1.73472e-16i -1.33103+0i Abs err 1.4282 exceeds tol 1e-10 by 1 (16,7) -2.35922e-16+6.66134e-16i -0.235869+0i Abs err 0.23587 exceeds tol 1e-10 by 0.2 (17,7) -0.746437+4.71845e-16i -0.598632+1.16214i Abs err 1.1715 exceeds tol 1e-10 by 1 (18,7) -0.783883+1.38778e-16i -1.19779+0i Abs err 0.41391 exceeds tol 1e-10 by 0.4 (19,7) 1.42142-1.24335i 0+0i Abs err 1.8885 exceeds tol 1e-10 by 2 (20,7) 0.252095-8.88178e-16i 1.15234-0.112771i Abs err 0.90728 exceeds tol 1e-10 by 0.9 (1,8) 0+0i -0.273229+0i Abs err 0.27323 exceeds tol 1e-10 by 0.3 (2,8) 0+0i -0.105738+0i Abs err 0.10574 exceeds tol 1e-10 by 0.1 (3,8) 0+0.477881i 0.778353+0.0643667i Abs err 0.88138 exceeds tol 1e-10 by 0.9 (4,8) 1.38778e-16+0i -2.22562+0i Abs err 2.2256 exceeds tol 1e-10 by 2 (5,8) -1.66377+1.31029i -1.6629-0.261079i Abs err 1.5714 exceeds tol 1e-10 by 2 (6,8) -0.29933-1.38778e-17i 0.941609-0.459909i Abs err 1.3234 exceeds tol 1e-10 by 1 (7,8) 0.184064+0.793154i 0.214877+0.927178i Abs err 0.13752 exceeds tol 1e-10 by 0.1 (8,8) 3.12911+0i 4.88315+0i Abs err 1.754 exceeds tol 1e-10 by 2 (9,8) -0.286755+1.11022e-16i -0.332353+0i Abs err 0.045598 exceeds tol 1e-10 by 0.05 (10,8) 1.11022e-16-1.21381i 0+0i Abs err 1.2138 exceeds tol 1e-10 by 1 (11,8) -1.13798e-15-2.22045e-16i 0+1.21381i Abs err 1.2138 exceeds tol 1e-10 by 1 (12,8) 6.245e-17-1.35308e-16i -0.797005-1.31942i Abs err 1.5415 exceeds tol 1e-10 by 2 (13,8) -1.56109+1.66533e-16i -0.327343+0.286674i Abs err 1.2666 exceeds tol 1e-10 by 1 (14,8) 0+0i 2.64391+0i Abs err 2.6439 exceeds tol 1e-10 by 3 (15,8) 0.217716-1.11022e-16i -0.695785-2.6308i Abs err 2.7849 exceeds tol 1e-10 by 3 (16,8) 0+5.72459e-17i 0-0.466198i Abs err 0.4662 exceeds tol 1e-10 by 0.5 (17,8) -1.68914-1.11022e-16i -0.31163+0.339087i Abs err 1.4186 exceeds tol 1e-10 by 1 (18,8) -1.89628+2.77556e-17i -0.84422-3.75174i Abs err 3.8965 exceeds tol 1e-10 by 4 (19,8) -1.86673+2.35922e-16i 0.128292-0.564922i Abs err 2.0735 exceeds tol 1e-10 by 2 (20,8) -1.04903+0.317839i -0.181725+0i Abs err 0.92371 exceeds tol 1e-10 by 0.9 (2,9) 0+0i 0.311786+0i Abs err 0.31179 exceeds tol 1e-10 by 0.3 (3,9) 0+0.969588i -0.249948+0i Abs err 1.0013 exceeds tol 1e-10 by 1 (4,9) -0.474854-2.99472i 2.94963-1.42467i Abs err 3.7672 exceeds tol 1e-10 by 4 (5,9) 0.207648-0.218849i 0.103233+0i Abs err 0.24248 exceeds tol 1e-10 by 0.2 (6,9) 0.754172+1.38778e-17i 0.811266+0i Abs err 0.057094 exceeds tol 1e-10 by 0.06 (7,9) -3.21936-5.55112e-17i 2.13374+0i Abs err 5.3531 exceeds tol 1e-10 by 5 (8,9) -0.286755-1.11022e-16i -0.332353+0i Abs err 0.045598 exceeds tol 1e-10 by 0.05 (9,9) 4.73278+0i 6.73415+0i Abs err 2.0014 exceeds tol 1e-10 by 2 (10,9) -0.105738+3.60822e-16i 0+0.111087i Abs err 0.15336 exceeds tol 1e-10 by 0.2 (11,9) 0.0660565+2.15111i -1.86673+0i Abs err 2.8919 exceeds tol 1e-10 by 3 (12,9) -0.0251644-0.81947i 0+0i Abs err 0.81986 exceeds tol 1e-10 by 0.8 (13,9) 0.314995+4.44089e-16i 1.42142+1.24335i Abs err 1.6644 exceeds tol 1e-10 by 2 (14,9) 0+0i -1.14021-1.17007i Abs err 1.6338 exceeds tol 1e-10 by 2 (15,9) -1.04083e-16+9.71445e-17i -0.394519+0i Abs err 0.39452 exceeds tol 1e-10 by 0.4 (16,9) 2.78249+4.16334e-17i 0-0.372298i Abs err 2.8073 exceeds tol 1e-10 by 3 (17,9) 6.66134e-16+0.212671i -0.135586+0.913179i Abs err 0.71351 exceeds tol 1e-10 by 0.7 (18,9) 0.0234857-1.66533e-16i 0.628076+0.32669i Abs err 0.68721 exceeds tol 1e-10 by 0.7 (19,9) 0.311786+3.53884e-16i -1.21834+0i Abs err 1.5301 exceeds tol 1e-10 by 2 (20,9) 0.10408-2.3164i 1.1406-0.737664i Abs err 1.8886 exceeds tol 1e-10 by 2 (2,10) 0.128292-0.564922i 0+0i Abs err 0.57931 exceeds tol 1e-10 by 0.6 (3,10) -0.273229+0i 0+0i Abs err 0.27323 exceeds tol 1e-10 by 0.3 (4,10) 0.778353+0.0643667i 0+0i Abs err 0.78101 exceeds tol 1e-10 by 0.8 (5,10) -2.22562-1.1601e-16i 0+0.140362i Abs err 2.23 exceeds tol 1e-10 by 2 (6,10) 4.77049e-18-0.466198i 0+0i Abs err 0.4662 exceeds tol 1e-10 by 0.5 (7,10) -0.327343+0.286674i 0+0i Abs err 0.43513 exceeds tol 1e-10 by 0.4 (8,10) 1.11022e-16+1.21381i 0+0i Abs err 1.2138 exceeds tol 1e-10 by 1 (9,10) -0.105738-3.60822e-16i 0-0.111087i Abs err 0.15336 exceeds tol 1e-10 by 0.2 (10,10) 4.88315+0i 1.01234+0i Abs err 3.8708 exceeds tol 1e-10 by 4 (11,10) 2.64391+2.35922e-16i 0+0i Abs err 2.6439 exceeds tol 1e-10 by 3 (12,10) -1.6629-0.261079i 0+1.10408i Abs err 2.1515 exceeds tol 1e-10 by 2 (13,10) 0.214877+0.927178i 0+0i Abs err 0.95175 exceeds tol 1e-10 by 1 (14,10) -0.797005-1.31942i 0+0i Abs err 1.5415 exceeds tol 1e-10 by 2 (15,10) -0.31163+0.339087i 0+0i Abs err 0.46054 exceeds tol 1e-10 by 0.5 (16,10) 0.941609-0.459909i 0+0i Abs err 1.0479 exceeds tol 1e-10 by 1 (17,10) -0.695785-2.6308i 0.101442+0i Abs err 2.7489 exceeds tol 1e-10 by 3 (18,10) -0.84422-3.75174i 0-0.668626i Abs err 3.1966 exceeds tol 1e-10 by 3 (19,10) -0.332353-5.55112e-17i 0+0i Abs err 0.33235 exceeds tol 1e-10 by 0.3 (20,10) -0.181725+2.77556e-17i 0+0i Abs err 0.18172 exceeds tol 1e-10 by 0.2 (1,11) 0+0i 0+0.477881i Abs err 0.47788 exceeds tol 1e-10 by 0.5 (2,11) 1.69156-3.7406i -0.286755+0i Abs err 4.2315 exceeds tol 1e-10 by 4 (4,11) -2.7403+0i -1.66377+1.31029i Abs err 1.6958 exceeds tol 1e-10 by 2 (5,11) -0.774574-2.22045e-16i 0+0i Abs err 0.77457 exceeds tol 1e-10 by 0.8 (7,11) -0.980759-0.859372i -1.56109+0i Abs err 1.037 exceeds tol 1e-10 by 1 (8,11) -1.13798e-15+2.22045e-16i 0-1.21381i Abs err 1.2138 exceeds tol 1e-10 by 1 (9,11) 0.0660565-2.15111i -1.86673+0i Abs err 2.8919 exceeds tol 1e-10 by 3 (10,11) 2.64391-2.35922e-16i 0+0i Abs err 2.6439 exceeds tol 1e-10 by 3 (11,11) 22.4033+0i 3.12911+0i Abs err 19.274 exceeds tol 1e-10 by 2e+01 (12,11) -1.38587-0.323541i 0+0i Abs err 1.4231 exceeds tol 1e-10 by 1 (13,11) 0.266285-3.05311e-16i 0.184064+0.793154i Abs err 0.7974 exceeds tol 1e-10 by 0.8 (14,11) -1.93946+0.299047i 0+0i Abs err 1.9624 exceeds tol 1e-10 by 2 (15,11) -0.211672-2.01228e-16i -1.68914+0i Abs err 1.4775 exceeds tol 1e-10 by 1 (16,11) -0.213415-0.649455i -0.29933+0i Abs err 0.65511 exceeds tol 1e-10 by 0.7 (17,11) -2.03149-0.713654i 0.217716+0i Abs err 2.3597 exceeds tol 1e-10 by 2 (18,11) -0.182142-0.219492i -1.89628+0i Abs err 1.7281 exceeds tol 1e-10 by 2 (19,11) -1.14021+1.17007i 0+0i Abs err 1.6338 exceeds tol 1e-10 by 2 (20,11) -4.98282-6.66134e-16i -1.04903+0.317839i Abs err 3.9466 exceeds tol 1e-10 by 4 (1,12) 1.74539e-18-0.140362i 0+0i Abs err 0.14036 exceeds tol 1e-10 by 0.1 (4,12) 1.1079+0i 0+0i Abs err 1.1079 exceeds tol 1e-10 by 1 (5,12) -1.11022e-16+0i 0.15497-0.376957i Abs err 0.40757 exceeds tol 1e-10 by 0.4 (6,12) -1.73472e-17-0.277287i 0+1.94515i Abs err 2.2224 exceeds tol 1e-10 by 2 (7,12) 0.0018151+1.11022e-16i -0.727038+0i Abs err 0.72885 exceeds tol 1e-10 by 0.7 (8,12) 6.245e-17+1.35308e-16i -0.797005+1.31942i Abs err 1.5415 exceeds tol 1e-10 by 2 (9,12) -0.0251644+0.81947i 0+0i Abs err 0.81986 exceeds tol 1e-10 by 0.8 (10,12) -1.6629+0.261079i 0-1.10408i Abs err 2.1515 exceeds tol 1e-10 by 2 (11,12) -1.38587+0.323541i 0+0i Abs err 1.4231 exceeds tol 1e-10 by 1 (12,12) 3.35653+0i 6.48674+0i Abs err 3.1302 exceeds tol 1e-10 by 3 (13,12) 8.32667e-17+0.823033i 0+0i Abs err 0.82303 exceeds tol 1e-10 by 0.8 (14,12) 0.15497+0.376957i -1.93946-0.299047i Abs err 2.2008 exceeds tol 1e-10 by 2 (15,12) 5.55112e-17-0.935795i 1.86311+0i Abs err 2.0849 exceeds tol 1e-10 by 2 (16,12) -0.89943-1.66533e-16i 0+0i Abs err 0.89943 exceeds tol 1e-10 by 0.9 (17,12) 0.328091-5.55112e-16i 0.826647+1.40386i Abs err 1.4898 exceeds tol 1e-10 by 1 (18,12) -0.0938495-7.77156e-16i -0.738217+0i Abs err 0.64437 exceeds tol 1e-10 by 0.6 (19,12) 0.103233-5.55112e-17i 0+0i Abs err 0.10323 exceeds tol 1e-10 by 0.1 (20,12) 1.89822+2.35922e-16i -1.2952+0i Abs err 3.1934 exceeds tol 1e-10 by 3 (1,13) 0+0i 0.379033+0i Abs err 0.37903 exceeds tol 1e-10 by 0.4 (2,13) 0+0i -3.21936+0i Abs err 3.2194 exceeds tol 1e-10 by 3 (3,13) 0+0i 0+1.95974i Abs err 1.9597 exceeds tol 1e-10 by 2 (4,13) 0+0i 0.390954-0.342566i Abs err 0.5198 exceeds tol 1e-10 by 0.5 (5,13) 1.82761-1.43933i 0.0018151+0i Abs err 2.3249 exceeds tol 1e-10 by 2 (6,13) -0.235869+7.80626e-17i 0+0i Abs err 0.23587 exceeds tol 1e-10 by 0.2 (8,13) -1.56109-1.66533e-16i -0.327343-0.286674i Abs err 1.2666 exceeds tol 1e-10 by 1 (9,13) 0.314995-4.44089e-16i 1.42142-1.24335i Abs err 1.6644 exceeds tol 1e-10 by 2 (10,13) 0.214877-0.927178i 0+0i Abs err 0.95175 exceeds tol 1e-10 by 1 (11,13) 0.266285+3.05311e-16i 0.184064-0.793154i Abs err 0.7974 exceeds tol 1e-10 by 0.8 (12,13) 8.32667e-17-0.823033i 0+0i Abs err 0.82303 exceeds tol 1e-10 by 0.8 (13,13) 4.01774+0i 6.85437+0i Abs err 2.8366 exceeds tol 1e-10 by 3 (14,13) -0.727038+1.11022e-16i -0.980759+0.859372i Abs err 0.89604 exceeds tol 1e-10 by 0.9 (15,13) -0.598632+1.16214i -0.746437+0i Abs err 1.1715 exceeds tol 1e-10 by 1 (16,13) -2.77556e-16+0i -0.133647-0.00654592i Abs err 0.13381 exceeds tol 1e-10 by 0.1 (17,13) -1.33103-8.88178e-16i 0.0972075+0i Abs err 1.4282 exceeds tol 1e-10 by 1 (18,13) -1.19779+1.17961e-16i -0.783883+0i Abs err 0.41391 exceeds tol 1e-10 by 0.4 (19,13) 2.13374+1.38778e-17i -1.11829+0.979881i Abs err 3.3965 exceeds tol 1e-10 by 3 (20,13) 1.15234-0.112771i 0.252095+0i Abs err 0.90728 exceeds tol 1e-10 by 0.9 (1,14) 0-1.10408i 0+0i Abs err 1.1041 exceeds tol 1e-10 by 1 (2,14) 0+0i 0.0660565-2.15111i Abs err 2.1521 exceeds tol 1e-10 by 2 (3,14) 0+0i -2.7403+0i Abs err 2.7403 exceeds tol 1e-10 by 3 (4,14) 0+0i -0.774574+0i Abs err 0.77457 exceeds tol 1e-10 by 0.8 (5,14) 0+0i -1.38587-0.323541i Abs err 1.4231 exceeds tol 1e-10 by 1 (6,14) 0+0i -0.213415-0.649455i Abs err 0.68362 exceeds tol 1e-10 by 0.7 (7,14) 0+0i 0.266285+0i Abs err 0.26628 exceeds tol 1e-10 by 0.3 (8,14) 0+0i 2.64391+0i Abs err 2.6439 exceeds tol 1e-10 by 3 (9,14) 0+0i -1.14021+1.17007i Abs err 1.6338 exceeds tol 1e-10 by 2 (10,14) -0.797005+1.31942i 0+0i Abs err 1.5415 exceeds tol 1e-10 by 2 (11,14) -1.93946-0.299047i 0+0i Abs err 1.9624 exceeds tol 1e-10 by 2 (12,14) 0.15497-0.376957i -1.93946+0.299047i Abs err 2.2008 exceeds tol 1e-10 by 2 (13,14) -0.727038-1.11022e-16i -0.980759-0.859372i Abs err 0.89604 exceeds tol 1e-10 by 0.9 (14,14) 6.48674+0i 22.4033+0i Abs err 15.917 exceeds tol 1e-10 by 2e+01 (15,14) 0.826647+1.40386i -2.03149-0.713654i Abs err 3.5571 exceeds tol 1e-10 by 4 (16,14) -5.55112e-16+1.94515i 0+0i Abs err 1.9451 exceeds tol 1e-10 by 2 (17,14) 1.86311+4.16334e-16i -0.211672+0i Abs err 2.0748 exceeds tol 1e-10 by 2 (18,14) -0.738217+1.66533e-16i -0.182142-0.219492i Abs err 0.59783 exceeds tol 1e-10 by 0.6 (19,14) -5.55112e-17-5.55112e-17i 1.69156-3.7406i Abs err 4.1053 exceeds tol 1e-10 by 4 (20,14) -1.2952+5.55112e-17i -4.98282+0i Abs err 3.6876 exceeds tol 1e-10 by 4 (1,15) 0.101442+0i 0+0i Abs err 0.10144 exceeds tol 1e-10 by 0.1 (2,15) 0+0i 0-0.212671i Abs err 0.21267 exceeds tol 1e-10 by 0.2 (4,15) 0.317536+0i 0+0i Abs err 0.31754 exceeds tol 1e-10 by 0.3 (5,15) -0.90796+0i 0.328091+0i Abs err 1.2361 exceeds tol 1e-10 by 1 (6,15) -0.158082-2.09931e-17i -0.494809+0.643327i Abs err 0.72612 exceeds tol 1e-10 by 0.7 (7,15) 0.0972075+1.73472e-16i -1.33103+0i Abs err 1.4282 exceeds tol 1e-10 by 1 (8,15) 0.217716+1.11022e-16i -0.695785+2.6308i Abs err 2.7849 exceeds tol 1e-10 by 3 (9,15) -1.04083e-16-9.71445e-17i -0.394519+0i Abs err 0.39452 exceeds tol 1e-10 by 0.4 (10,15) -0.31163-0.339087i 0+0i Abs err 0.46054 exceeds tol 1e-10 by 0.5 (11,15) -0.211672+2.01228e-16i -1.68914+0i Abs err 1.4775 exceeds tol 1e-10 by 1 (12,15) 5.55112e-17+0.935795i 1.86311+0i Abs err 2.0849 exceeds tol 1e-10 by 2 (13,15) -0.598632-1.16214i -0.746437+0i Abs err 1.1715 exceeds tol 1e-10 by 1 (14,15) 0.826647-1.40386i -2.03149+0.713654i Abs err 3.5571 exceeds tol 1e-10 by 4 (15,15) 4.34742+0i 12.1192+0i Abs err 7.7718 exceeds tol 1e-10 by 8 (16,15) -4.44089e-16+2.22045e-16i 1.22647-1.18322i Abs err 1.7042 exceeds tol 1e-10 by 2 (18,15) -1.27161-0.41503i 7.19366+0i Abs err 8.4754 exceeds tol 1e-10 by 8 (19,15) -0.135586-0.913179i 0+0i Abs err 0.92319 exceeds tol 1e-10 by 0.9 (20,15) 2.498e-16+0.922597i 0+0i Abs err 0.9226 exceeds tol 1e-10 by 0.9 (1,16) 0+0i 0+0.777828i Abs err 0.77783 exceeds tol 1e-10 by 0.8 (2,16) 0+0i 0.754172+0i Abs err 0.75417 exceeds tol 1e-10 by 0.8 (3,16) 0+2.67904i -0.347634+0i Abs err 2.7015 exceeds tol 1e-10 by 3 (4,16) -1.19734+0i -0.056348+0i Abs err 1.141 exceeds tol 1e-10 by 1 (5,16) -0.194077+2.86397e-16i 0+0.277287i Abs err 0.33846 exceeds tol 1e-10 by 0.3 (7,16) -2.35922e-16-6.66134e-16i -0.235869+0i Abs err 0.23587 exceeds tol 1e-10 by 0.2 (8,16) 0-5.72459e-17i 0+0.466198i Abs err 0.4662 exceeds tol 1e-10 by 0.5 (9,16) 2.78249-4.16334e-17i 0+0.372298i Abs err 2.8073 exceeds tol 1e-10 by 3 (10,16) 0.941609+0.459909i 0+0i Abs err 1.0479 exceeds tol 1e-10 by 1 (11,16) -0.213415+0.649455i -0.29933+0i Abs err 0.65511 exceeds tol 1e-10 by 0.7 (12,16) -0.89943+1.66533e-16i 0+0i Abs err 0.89943 exceeds tol 1e-10 by 0.9 (13,16) -2.77556e-16+0i -0.133647+0.00654592i Abs err 0.13381 exceeds tol 1e-10 by 0.1 (14,16) -5.55112e-16-1.94515i 0+0i Abs err 1.9451 exceeds tol 1e-10 by 2 (15,16) -4.44089e-16-2.22045e-16i 1.22647+1.18322i Abs err 1.7042 exceeds tol 1e-10 by 2 (16,16) 9.9234+0i 1.82236+0i Abs err 8.101 exceeds tol 1e-10 by 8 (17,16) -0.494809-0.643327i -0.158082+0i Abs err 0.72612 exceeds tol 1e-10 by 0.7 (18,16) 1.11022e-16-2.35922e-16i 1.27477+0i Abs err 1.2748 exceeds tol 1e-10 by 1 (19,16) 0.811266-2.22045e-16i 0+0i Abs err 0.81127 exceeds tol 1e-10 by 0.8 (3,17) 0+0i 0.317536+0i Abs err 0.31754 exceeds tol 1e-10 by 0.3 (4,17) 0+0i -0.90796+0i Abs err 0.90796 exceeds tol 1e-10 by 0.9 (5,17) 0+0i 0+0.935795i Abs err 0.93579 exceeds tol 1e-10 by 0.9 (6,17) 1.22647-1.18322i 0+0i Abs err 1.7042 exceeds tol 1e-10 by 2 (7,17) -0.746437-4.71845e-16i -0.598632-1.16214i Abs err 1.1715 exceeds tol 1e-10 by 1 (8,17) -1.68914+1.11022e-16i -0.31163-0.339087i Abs err 1.4186 exceeds tol 1e-10 by 1 (9,17) 6.66134e-16-0.212671i -0.135586-0.913179i Abs err 0.71351 exceeds tol 1e-10 by 0.7 (10,17) -0.695785+2.6308i 0.101442+0i Abs err 2.7489 exceeds tol 1e-10 by 3 (11,17) -2.03149+0.713654i 0.217716+0i Abs err 2.3597 exceeds tol 1e-10 by 2 (12,17) 0.328091+5.55112e-16i 0.826647-1.40386i Abs err 1.4898 exceeds tol 1e-10 by 1 (13,17) -1.33103+8.88178e-16i 0.0972075+0i Abs err 1.4282 exceeds tol 1e-10 by 1 (14,17) 1.86311-4.16334e-16i -0.211672+0i Abs err 2.0748 exceeds tol 1e-10 by 2 (16,17) -0.494809+0.643327i -0.158082+0i Abs err 0.72612 exceeds tol 1e-10 by 0.7 (17,17) 12.1192+0i 4.34742+0i Abs err 7.7718 exceeds tol 1e-10 by 8 (18,17) 7.19366-9.99201e-16i -1.27161-0.41503i Abs err 8.4754 exceeds tol 1e-10 by 8 (19,17) -0.394519+6.66134e-16i 0+0i Abs err 0.39452 exceeds tol 1e-10 by 0.4 (20,17) -4.996e-16+7.35523e-16i 0+0.922597i Abs err 0.9226 exceeds tol 1e-10 by 0.9 (1,18) 0+0.668626i 0+0i Abs err 0.66863 exceeds tol 1e-10 by 0.7 (2,18) 0+0i 0.0234857+0i Abs err 0.023486 exceeds tol 1e-10 by 0.02 (3,18) 0+0i -0.634901+0.765092i Abs err 0.99422 exceeds tol 1e-10 by 1 (4,18) -0.634901+0.765092i 1.9517-2.29501i Abs err 4.0068 exceeds tol 1e-10 by 4 (5,18) 1.9517-2.29501i -0.0938495+0i Abs err 3.0743 exceeds tol 1e-10 by 3 (6,18) 1.27477+5.9848e-17i 0+0i Abs err 1.2748 exceeds tol 1e-10 by 1 (7,18) -0.783883-1.38778e-16i -1.19779+0i Abs err 0.41391 exceeds tol 1e-10 by 0.4 (8,18) -1.89628-2.77556e-17i -0.84422+3.75174i Abs err 3.8965 exceeds tol 1e-10 by 4 (9,18) 0.0234857+1.66533e-16i 0.628076-0.32669i Abs err 0.68721 exceeds tol 1e-10 by 0.7 (10,18) -0.84422+3.75174i 0+0.668626i Abs err 3.1966 exceeds tol 1e-10 by 3 (11,18) -0.182142+0.219492i -1.89628+0i Abs err 1.7281 exceeds tol 1e-10 by 2 (12,18) -0.0938495+7.77156e-16i -0.738217+0i Abs err 0.64437 exceeds tol 1e-10 by 0.6 (13,18) -1.19779-1.17961e-16i -0.783883+0i Abs err 0.41391 exceeds tol 1e-10 by 0.4 (14,18) -0.738217-1.66533e-16i -0.182142+0.219492i Abs err 0.59783 exceeds tol 1e-10 by 0.6 (15,18) -1.27161+0.41503i 7.19366+0i Abs err 8.4754 exceeds tol 1e-10 by 8 (16,18) 1.11022e-16+2.35922e-16i 1.27477+0i Abs err 1.2748 exceeds tol 1e-10 by 1 (17,18) 7.19366+9.99201e-16i -1.27161+0.41503i Abs err 8.4754 exceeds tol 1e-10 by 8 (19,18) 0.628076-0.32669i 0+0i Abs err 0.70796 exceeds tol 1e-10 by 0.7 (1,19) 0+0.111087i 0+0i Abs err 0.11109 exceeds tol 1e-10 by 0.1 (2,19) -1.21834+0i 0+0i Abs err 1.2183 exceeds tol 1e-10 by 1 (4,19) -0.249948+0i -0.335674+0i Abs err 0.085726 exceeds tol 1e-10 by 0.09 (5,19) 2.94963-1.42467i 0+0i Abs err 3.2757 exceeds tol 1e-10 by 3 (6,19) 1.73472e-17-0.372298i 0+0i Abs err 0.3723 exceeds tol 1e-10 by 0.4 (7,19) 1.42142+1.24335i 0+0i Abs err 1.8885 exceeds tol 1e-10 by 2 (8,19) -1.86673-2.35922e-16i 0.128292+0.564922i Abs err 2.0735 exceeds tol 1e-10 by 2 (9,19) 0.311786-3.53884e-16i -1.21834+0i Abs err 1.5301 exceeds tol 1e-10 by 2 (10,19) -0.332353+5.55112e-17i 0+0i Abs err 0.33235 exceeds tol 1e-10 by 0.3 (11,19) -1.14021-1.17007i 0+0i Abs err 1.6338 exceeds tol 1e-10 by 2 (12,19) 0.103233+5.55112e-17i 0+0i Abs err 0.10323 exceeds tol 1e-10 by 0.1 (13,19) 2.13374-1.38778e-17i -1.11829-0.979881i Abs err 3.3965 exceeds tol 1e-10 by 3 (14,19) -5.55112e-17+5.55112e-17i 1.69156+3.7406i Abs err 4.1053 exceeds tol 1e-10 by 4 (15,19) -0.135586+0.913179i 0+0i Abs err 0.92319 exceeds tol 1e-10 by 0.9 (16,19) 0.811266+2.22045e-16i 0+0i Abs err 0.81127 exceeds tol 1e-10 by 0.8 (17,19) -0.394519-6.66134e-16i 0+0i Abs err 0.39452 exceeds tol 1e-10 by 0.4 (18,19) 0.628076+0.32669i 0+0i Abs err 0.70796 exceeds tol 1e-10 by 0.7 (19,19) 6.73415+0i 2.01174+0i Abs err 4.7224 exceeds tol 1e-10 by 5 (20,19) 1.1406-0.737664i 0+0i Abs err 1.3584 exceeds tol 1e-10 by 1 (1,20) 0+0i 0.15189+0i Abs err 0.15189 exceeds tol 1e-10 by 0.2 (2,20) 0+0i 0.10408+2.3164i Abs err 2.3187 exceeds tol 1e-10 by 2 (3,20) 0.15189+0i 3.13171+0i Abs err 2.9798 exceeds tol 1e-10 by 3 (4,20) 3.13171-4.16334e-17i 1.01659-0.800611i Abs err 2.2616 exceeds tol 1e-10 by 2 (5,20) 1.01659-0.800611i 1.89822+0i Abs err 1.1909 exceeds tol 1e-10 by 1 (7,20) 0.252095+8.88178e-16i 1.15234+0.112771i Abs err 0.90728 exceeds tol 1e-10 by 0.9 (8,20) -1.04903-0.317839i -0.181725+0i Abs err 0.92371 exceeds tol 1e-10 by 0.9 (9,20) 0.10408+2.3164i 1.1406+0.737664i Abs err 1.8886 exceeds tol 1e-10 by 2 (10,20) -0.181725-2.77556e-17i 0+0i Abs err 0.18172 exceeds tol 1e-10 by 0.2 (11,20) -4.98282+6.66134e-16i -1.04903-0.317839i Abs err 3.9466 exceeds tol 1e-10 by 4 (12,20) 1.89822-2.35922e-16i -1.2952+0i Abs err 3.1934 exceeds tol 1e-10 by 3 (13,20) 1.15234+0.112771i 0.252095+0i Abs err 0.90728 exceeds tol 1e-10 by 0.9 (14,20) -1.2952-5.55112e-17i -4.98282+0i Abs err 3.6876 exceeds tol 1e-10 by 4 (15,20) 2.498e-16-0.922597i 0+0i Abs err 0.9226 exceeds tol 1e-10 by 0.9 (17,20) -4.996e-16-7.35523e-16i 0-0.922597i Abs err 0.9226 exceeds tol 1e-10 by 0.9 (19,20) 1.1406+0.737664i 0+0i Abs err 1.3584 exceeds tol 1e-10 by 1 ***** testif HAVE_COLAMD n = 20; d = 0.2; ## initialize generators to make behavior reproducible rand ("state", 42); randn ("state", 42); a = 1i*sprandn (n,n,d) + speye (n,n); q = symamd (a); a = a(q,q); r = qr (a); assert (r'*r, a'*a, 1e-10); !!!!! test failed ASSERT errors for: assert (r' * r,a' * a,1e-10) Location | Observed | Expected | Reason (1,1) 1.01234+0i 2.01174+0i Abs err 0.9994 exceeds tol 1e-10 by 1 (10,1) 0-0.668626i 0+0i Abs err 0.66863 exceeds tol 1e-10 by 0.7 (11,1) 0-0.111087i -0.335674+0i Abs err 0.35358 exceeds tol 1e-10 by 0.4 (12,1) 0+0.140362i 0+0i Abs err 0.14036 exceeds tol 1e-10 by 0.1 (13,1) 0+1.10408i -1.11829-0.979881i Abs err 2.3651 exceeds tol 1e-10 by 2 (14,1) 0.101442+0i 0+0i Abs err 0.10144 exceeds tol 1e-10 by 0.1 (16,1) 0+0i -1.21834+0i Abs err 1.2183 exceeds tol 1e-10 by 1 (18,1) 0+0i 0.128292+0.564922i Abs err 0.57931 exceeds tol 1e-10 by 0.6 (20,1) 0+0i 1.69156+3.7406i Abs err 4.1053 exceeds tol 1e-10 by 4 (2,2) 2.01174+0i 3.12911+0i Abs err 1.1174 exceeds tol 1e-10 by 1 (5,2) 0+0i -1.56109+0i Abs err 1.5611 exceeds tol 1e-10 by 2 (6,2) -1.11829-0.979881i 0.217716+0i Abs err 1.6568 exceeds tol 1e-10 by 2 (7,2) 0+0i -1.04903+0.317839i Abs err 1.0961 exceeds tol 1e-10 by 1 (8,2) 0+0i 0+0.477881i Abs err 0.47788 exceeds tol 1e-10 by 0.5 (9,2) -0.335674-9.84184e-18i 0+0i Abs err 0.33567 exceeds tol 1e-10 by 0.3 (10,2) 0+0i -0.286755+0i Abs err 0.28676 exceeds tol 1e-10 by 0.3 (11,2) -1.21834-3.93673e-17i -1.66377+1.31029i Abs err 1.3839 exceeds tol 1e-10 by 1 (13,2) 0+0i 0.184064+0.793154i Abs err 0.81423 exceeds tol 1e-10 by 0.8 (14,2) 0+0i -0.29933+0i Abs err 0.29933 exceeds tol 1e-10 by 0.3 (15,2) 0+0i -1.68914+0i Abs err 1.6891 exceeds tol 1e-10 by 2 (16,2) 0+0i -1.86673+0i Abs err 1.8667 exceeds tol 1e-10 by 2 (17,2) 0+0i -1.89628+0i Abs err 1.8963 exceeds tol 1e-10 by 2 (18,2) 0.128292+0.564922i 0-1.21381i Abs err 1.7834 exceeds tol 1e-10 by 2 (19,2) 1.69156+3.7406i 0+0i Abs err 4.1053 exceeds tol 1e-10 by 4 (3,3) 1.22837+0i 1.01234+0i Abs err 0.21603 exceeds tol 1e-10 by 0.2 (4,3) 0-0.969588i 0+0.140362i Abs err 1.1099 exceeds tol 1e-10 by 1 (5,3) 0-0.477881i 0+0i Abs err 0.47788 exceeds tol 1e-10 by 0.5 (6,3) 0.379033+0i 0.101442+0i Abs err 0.27759 exceeds tol 1e-10 by 0.3 (7,3) 0-0.777828i 0+0i Abs err 0.77783 exceeds tol 1e-10 by 0.8 (8,3) 0+0.446929i 0+0i Abs err 0.44693 exceeds tol 1e-10 by 0.4 (9,3) 0+0.0724427i 0+0i Abs err 0.072443 exceeds tol 1e-10 by 0.07 (16,3) 0+0i 0-0.111087i Abs err 0.11109 exceeds tol 1e-10 by 0.1 (17,3) 0.15189+0i 0-0.668626i Abs err 0.68566 exceeds tol 1e-10 by 0.7 (18,3) -0.273229+0i 0+0i Abs err 0.27323 exceeds tol 1e-10 by 0.3 (19,3) 0+0i 0+1.10408i Abs err 1.1041 exceeds tol 1e-10 by 1 (20,3) 1.23048e-16-2.67904i 0+0i Abs err 2.679 exceeds tol 1e-10 by 3 (3,4) 0+0.969588i 0-0.140362i Abs err 1.1099 exceeds tol 1e-10 by 1 (4,4) 4.73278+0i 3.35653+0i Abs err 1.3762 exceeds tol 1e-10 by 1 (5,4) -0.286755-2.21139e-16i 0+0.823033i Abs err 0.87156 exceeds tol 1e-10 by 0.9 (6,4) -3.21936+1.66533e-16i 0-0.935795i Abs err 3.3526 exceeds tol 1e-10 by 3 (7,4) 0.754172+1.1057e-16i 1.89822+0i Abs err 1.144 exceeds tol 1e-10 by 1 (8,4) -0.474854-2.99472i 0+0i Abs err 3.0321 exceeds tol 1e-10 by 3 (9,4) 0.207648-0.218849i 1.1079+0i Abs err 0.92647 exceeds tol 1e-10 by 0.9 (10,4) 0.0234857+4.31913e-19i -0.0251644+0.81947i Abs err 0.82091 exceeds tol 1e-10 by 0.8 (11,4) 0.311786+6.91061e-18i 0+0i Abs err 0.31179 exceeds tol 1e-10 by 0.3 (12,4) -0.0251644-0.81947i -0.89943+0i Abs err 1.1983 exceeds tol 1e-10 by 1 (13,4) 0+0i 0.0018151+0i Abs err 0.0018151 exceeds tol 1e-10 by 0.002 (14,4) 0+0i 0-0.277287i Abs err 0.27729 exceeds tol 1e-10 by 0.3 (15,4) 0.314995+0i 0.328091+0i Abs err 0.013097 exceeds tol 1e-10 by 0.01 (16,4) -6.91061e-18+0.212671i 0.103233+0i Abs err 0.2364 exceeds tol 1e-10 by 0.2 (17,4) 0.10408-2.3164i -0.0938495+0i Abs err 2.3248 exceeds tol 1e-10 by 2 (18,4) -0.105738-1.11022e-16i -1.6629+0.261079i Abs err 1.5789 exceeds tol 1e-10 by 2 (19,4) 0.0660565+2.15111i 0.15497+0.376957i Abs err 1.7764 exceeds tol 1e-10 by 2 (20,4) 2.78249+3.18265e-16i -1.38587+0.323541i Abs err 4.1809 exceeds tol 1e-10 by 4 (2,5) 0+0i -1.56109+0i Abs err 1.5611 exceeds tol 1e-10 by 2 (3,5) 0+0.477881i 0+0i Abs err 0.47788 exceeds tol 1e-10 by 0.5 (4,5) -0.286755+2.21139e-16i 0-0.823033i Abs err 0.87156 exceeds tol 1e-10 by 0.9 (5,5) 3.12911+0i 4.01774+0i Abs err 0.88863 exceeds tol 1e-10 by 0.9 (6,5) 0.184064+0.793154i -0.598632+1.16214i Abs err 0.86531 exceeds tol 1e-10 by 0.9 (7,5) -0.29933-1.97526e-16i 1.15234-0.112771i Abs err 1.456 exceeds tol 1e-10 by 1 (9,5) -1.66377+1.31029i 0+0i Abs err 2.1178 exceeds tol 1e-10 by 2 (10,5) -1.89628-1.62792e-17i 0.314995+0i Abs err 2.2113 exceeds tol 1e-10 by 2 (11,5) -1.86673+8.62859e-17i 1.82761-1.43933i Abs err 3.9648 exceeds tol 1e-10 by 4 (13,5) 0+0i 0.145041+0i Abs err 0.14504 exceeds tol 1e-10 by 0.1 (14,5) 0.217716-1.16773e-17i -0.235869+0i Abs err 0.45359 exceeds tol 1e-10 by 0.5 (15,5) -1.56109-5.25066e-17i -1.33103+0i Abs err 0.23006 exceeds tol 1e-10 by 0.2 (16,5) -1.68914+4.16334e-17i 2.13374+0i Abs err 3.8229 exceeds tol 1e-10 by 4 (17,5) -1.04903+0.317839i -1.19779+0i Abs err 0.35093 exceeds tol 1e-10 by 0.4 (18,5) -2.28983e-16-1.21381i 0.214877-0.927178i Abs err 0.35824 exceeds tol 1e-10 by 0.4 (19,5) -3.76435e-16+1.66533e-16i -0.727038+0i Abs err 0.72704 exceeds tol 1e-10 by 0.7 (20,5) 7.77156e-16-3.25587e-16i 0.266285+0i Abs err 0.26628 exceeds tol 1e-10 by 0.3 (2,6) -1.11829+0.979881i 0.217716+0i Abs err 1.6568 exceeds tol 1e-10 by 2 (3,6) 0.379033+0i 0.101442+0i Abs err 0.27759 exceeds tol 1e-10 by 0.3 (4,6) -3.21936-1.66533e-16i 0+0.935795i Abs err 3.3526 exceeds tol 1e-10 by 3 (5,6) 0.184064-0.793154i -0.598632-1.16214i Abs err 0.86531 exceeds tol 1e-10 by 0.9 (6,6) 6.85437+0i 4.34742+0i Abs err 2.507 exceeds tol 1e-10 by 3 (7,6) -0.133647-0.00654592i 0+0.922597i Abs err 0.93871 exceeds tol 1e-10 by 0.9 (8,6) -4.44089e-16+1.95974i 0+0i Abs err 1.9597 exceeds tol 1e-10 by 2 (9,6) 0.390954-0.342566i 0.317536+0i Abs err 0.35034 exceeds tol 1e-10 by 0.4 (10,6) -0.783883+1.11022e-16i 0+0i Abs err 0.78388 exceeds tol 1e-10 by 0.8 (11,6) 1.42142-1.24335i -0.90796+0i Abs err 2.6404 exceeds tol 1e-10 by 3 (12,6) 0.0018151+0i 0+0i Abs err 0.0018151 exceeds tol 1e-10 by 0.002 (13,6) 0+0i 0.0972075+0i Abs err 0.097208 exceeds tol 1e-10 by 0.1 (14,6) 0.0972075+0i -0.158082+0i Abs err 0.25529 exceeds tol 1e-10 by 0.3 (15,6) 0.145041+1.11022e-16i -0.892069+0i Abs err 1.0371 exceeds tol 1e-10 by 1 (16,6) -0.746437+1.11022e-16i -0.135586-0.913179i Abs err 1.0987 exceeds tol 1e-10 by 1 (17,6) 0.252095+0i -1.27161-0.41503i Abs err 1.5792 exceeds tol 1e-10 by 2 (18,6) -0.327343-0.286674i -0.31163-0.339087i Abs err 0.054718 exceeds tol 1e-10 by 0.05 (19,6) -0.980759+0.859372i 0.826647-1.40386i Abs err 2.8964 exceeds tol 1e-10 by 3 (20,6) -5.55112e-17-4.44089e-16i -0.211672+0i Abs err 0.21167 exceeds tol 1e-10 by 0.2 (2,7) 0+0i -1.04903-0.317839i Abs err 1.0961 exceeds tol 1e-10 by 1 (3,7) 0+0.777828i 0+0i Abs err 0.77783 exceeds tol 1e-10 by 0.8 (4,7) 0.754172-1.1057e-16i 1.89822+0i Abs err 1.144 exceeds tol 1e-10 by 1 (5,7) -0.29933+1.97526e-16i 1.15234+0.112771i Abs err 1.456 exceeds tol 1e-10 by 1 (6,7) -0.133647+0.00654592i 0-0.922597i Abs err 0.93871 exceeds tol 1e-10 by 0.9 (7,7) 1.82236+0i 7.95889+0i Abs err 6.1365 exceeds tol 1e-10 by 6 (8,7) -0.347634+9.71445e-17i 0.15189+0i Abs err 0.49952 exceeds tol 1e-10 by 0.5 (9,7) -0.056348+8.32667e-17i 3.13171+0i Abs err 3.1881 exceeds tol 1e-10 by 3 (10,7) 1.27477-7.63278e-17i 0.10408+2.3164i Abs err 2.5954 exceeds tol 1e-10 by 3 (11,7) 0+0.372298i 1.01659-0.800611i Abs err 1.5522 exceeds tol 1e-10 by 2 (12,7) -1.73472e-17+0.277287i 0+0i Abs err 0.27729 exceeds tol 1e-10 by 0.3 (13,7) 0+0i 0.252095+0i Abs err 0.2521 exceeds tol 1e-10 by 0.3 (14,7) -0.158082+1.56125e-17i 0+0i Abs err 0.15808 exceeds tol 1e-10 by 0.2 (15,7) -0.235869+2.35489e-16i 0+0i Abs err 0.23587 exceeds tol 1e-10 by 0.2 (16,7) 1.22647+1.18322i 1.1406+0.737664i Abs err 0.45375 exceeds tol 1e-10 by 0.5 (17,7) -1.38778e-16-2.77556e-17i 0.0859175+0.276669i Abs err 0.2897 exceeds tol 1e-10 by 0.3 (18,7) 1.64799e-16+0.466198i -0.181725+0i Abs err 0.50036 exceeds tol 1e-10 by 0.5 (19,7) 2.77556e-17+8.32667e-17i -1.2952+0i Abs err 1.2952 exceeds tol 1e-10 by 1 (20,7) 2.08383+6.245e-17i -4.98282+0i Abs err 7.0667 exceeds tol 1e-10 by 7 (2,8) 0+0i 0-0.477881i Abs err 0.47788 exceeds tol 1e-10 by 0.5 (3,8) 0-0.446929i 0+0i Abs err 0.44693 exceeds tol 1e-10 by 0.4 (4,8) -0.474854+2.99472i 0+0i Abs err 3.0321 exceeds tol 1e-10 by 3 (6,8) -4.44089e-16-1.95974i 0+0i Abs err 1.9597 exceeds tol 1e-10 by 2 (7,8) -0.347634-9.71445e-17i 0.15189+0i Abs err 0.49952 exceeds tol 1e-10 by 0.5 (8,8) 3.61294+0i 1.22837+0i Abs err 2.3846 exceeds tol 1e-10 by 2 (9,8) -1.64141+7.97973e-17i 0+0.446929i Abs err 1.7012 exceeds tol 1e-10 by 2 (10,8) -0.634901-0.765092i 0-0.969588i Abs err 0.66702 exceeds tol 1e-10 by 0.7 (11,8) -0.249948+5.55112e-17i 0+0.0724427i Abs err 0.26023 exceeds tol 1e-10 by 0.3 (12,8) 1.1079+0i 0-2.67904i Abs err 2.8991 exceeds tol 1e-10 by 3 (13,8) 0+0i 0.379033+0i Abs err 0.37903 exceeds tol 1e-10 by 0.4 (14,8) 0.317536+6.93889e-18i 0-0.777828i Abs err 0.84015 exceeds tol 1e-10 by 0.8 (17,8) 3.13171-2.77556e-17i 0+0i Abs err 3.1317 exceeds tol 1e-10 by 3 (18,8) 0.778353-0.0643667i -0.273229+0i Abs err 1.0536 exceeds tol 1e-10 by 1 (19,8) -2.7403+2.77556e-17i 0+0i Abs err 2.7403 exceeds tol 1e-10 by 3 (20,8) -1.19734-3.88578e-16i 0+0i Abs err 1.1973 exceeds tol 1e-10 by 1 (2,9) -0.335674+9.84184e-18i 0+0i Abs err 0.33567 exceeds tol 1e-10 by 0.3 (3,9) 0-0.0724427i 0+0i Abs err 0.072443 exceeds tol 1e-10 by 0.07 (4,9) 0.207648+0.218849i 1.1079+0i Abs err 0.92647 exceeds tol 1e-10 by 0.9 (5,9) -1.66377-1.31029i 0+0i Abs err 2.1178 exceeds tol 1e-10 by 2 (6,9) 0.390954+0.342566i 0.317536+0i Abs err 0.35034 exceeds tol 1e-10 by 0.4 (7,9) -0.056348-8.32667e-17i 3.13171+0i Abs err 3.1881 exceeds tol 1e-10 by 3 (8,9) -1.64141-7.97973e-17i 0-0.446929i Abs err 1.7012 exceeds tol 1e-10 by 2 (9,9) 7.52094+0i 3.61294+0i Abs err 3.908 exceeds tol 1e-10 by 4 (10,9) 1.9517+2.29501i -0.474854+2.99472i Abs err 2.5254 exceeds tol 1e-10 by 3 (11,9) 2.94963+1.42467i -1.64141+0i Abs err 4.807 exceeds tol 1e-10 by 5 (12,9) -3.33067e-16+1.56125e-17i -1.19734+0i Abs err 1.1973 exceeds tol 1e-10 by 1 (13,9) 0+0i 0-1.95974i Abs err 1.9597 exceeds tol 1e-10 by 2 (14,9) -0.90796+6.245e-17i -0.347634+0i Abs err 0.56033 exceeds tol 1e-10 by 0.6 (15,9) 1.82761+1.43933i 0+0i Abs err 2.3263 exceeds tol 1e-10 by 2 (16,9) -2.22045e-16+0i -0.249948+0i Abs err 0.24995 exceeds tol 1e-10 by 0.2 (17,9) 1.01659+0.800611i -0.634901-0.765092i Abs err 2.2757 exceeds tol 1e-10 by 2 (18,9) -2.22562+1.11022e-16i 0.778353-0.0643667i Abs err 3.0047 exceeds tol 1e-10 by 3 (19,9) -0.774574-1.11022e-16i 0+0i Abs err 0.77457 exceeds tol 1e-10 by 0.8 (20,9) -0.194077-2.22045e-16i -2.7403+0i Abs err 2.5462 exceeds tol 1e-10 by 3 (1,10) 0+0.668626i 0+0i Abs err 0.66863 exceeds tol 1e-10 by 0.7 (2,10) 0+0i -0.286755+0i Abs err 0.28676 exceeds tol 1e-10 by 0.3 (4,10) 0.0234857-4.31913e-19i -0.0251644-0.81947i Abs err 0.82091 exceeds tol 1e-10 by 0.8 (5,10) -1.89628+1.62792e-17i 0.314995+0i Abs err 2.2113 exceeds tol 1e-10 by 2 (6,10) -0.783883-1.11022e-16i 0+0i Abs err 0.78388 exceeds tol 1e-10 by 0.8 (7,10) 1.27477+7.63278e-17i 0.10408-2.3164i Abs err 2.5954 exceeds tol 1e-10 by 3 (8,10) -0.634901+0.765092i 0+0.969588i Abs err 0.66702 exceeds tol 1e-10 by 0.7 (9,10) 1.9517-2.29501i -0.474854-2.99472i Abs err 2.5254 exceeds tol 1e-10 by 3 (10,10) 9.70071+0i 4.73278+0i Abs err 4.9679 exceeds tol 1e-10 by 5 (11,10) 0.628076-0.32669i 0.207648-0.218849i Abs err 0.43404 exceeds tol 1e-10 by 0.4 (12,10) -0.0938495+3.33067e-16i 2.78249+0i Abs err 2.8763 exceeds tol 1e-10 by 3 (13,10) -0.738217+0i -3.21936+0i Abs err 2.4811 exceeds tol 1e-10 by 2 (14,10) -1.27161+0.41503i 0.754172+0i Abs err 2.0679 exceeds tol 1e-10 by 2 (15,10) -1.19779+2.77556e-16i 0+0.212671i Abs err 1.2165 exceeds tol 1e-10 by 1 (16,10) 7.19366-1.33227e-15i 0.311786+0i Abs err 6.8819 exceeds tol 1e-10 by 7 (17,10) 0.0859175-0.276669i 0.0234857+0i Abs err 0.28363 exceeds tol 1e-10 by 0.3 (18,10) -0.84422+3.75174i -0.105738+0i Abs err 3.8237 exceeds tol 1e-10 by 4 (19,10) -0.182142+0.219492i 0+0i Abs err 0.28522 exceeds tol 1e-10 by 0.3 (20,10) 6.93889e-17+3.33067e-16i 0.0660565+2.15111i Abs err 2.1521 exceeds tol 1e-10 by 2 (1,11) 0+0.111087i -0.335674+0i Abs err 0.35358 exceeds tol 1e-10 by 0.4 (2,11) -1.21834+3.93673e-17i -1.66377-1.31029i Abs err 1.3839 exceeds tol 1e-10 by 1 (4,11) 0.311786-6.91061e-18i 0+0i Abs err 0.31179 exceeds tol 1e-10 by 0.3 (5,11) -1.86673-8.62859e-17i 1.82761+1.43933i Abs err 3.9648 exceeds tol 1e-10 by 4 (6,11) 1.42142+1.24335i -0.90796+0i Abs err 2.6404 exceeds tol 1e-10 by 3 (7,11) 0-0.372298i 1.01659+0.800611i Abs err 1.5522 exceeds tol 1e-10 by 2 (8,11) -0.249948-5.55112e-17i 0-0.0724427i Abs err 0.26023 exceeds tol 1e-10 by 0.3 (9,11) 2.94963-1.42467i -1.64141+0i Abs err 4.807 exceeds tol 1e-10 by 5 (10,11) 0.628076+0.32669i 0.207648+0.218849i Abs err 0.43404 exceeds tol 1e-10 by 0.4 (11,11) 6.73415+0i 7.52094+0i Abs err 0.78679 exceeds tol 1e-10 by 0.8 (12,11) 0.103233-1.66533e-16i -0.194077+0i Abs err 0.29731 exceeds tol 1e-10 by 0.3 (13,11) -4.16334e-17+1.30104e-18i 0.390954+0.342566i Abs err 0.5198 exceeds tol 1e-10 by 0.5 (14,11) -0.135586+0.913179i -0.056348+0i Abs err 0.91661 exceeds tol 1e-10 by 0.9 (15,11) 2.13374+3.77302e-16i 0+0i Abs err 2.1337 exceeds tol 1e-10 by 2 (16,11) -0.394519+2.22045e-16i 2.94963+1.42467i Abs err 3.635 exceeds tol 1e-10 by 4 (17,11) 1.1406-0.737664i 1.9517+2.29501i Abs err 3.1393 exceeds tol 1e-10 by 3 (18,11) -0.332353-5.55112e-17i -2.22562+0i Abs err 1.8933 exceeds tol 1e-10 by 2 (19,11) -1.14021-1.17007i 0+0i Abs err 1.6338 exceeds tol 1e-10 by 2 (20,11) 0.811266-5.55112e-17i -0.774574+0i Abs err 1.5858 exceeds tol 1e-10 by 2 (1,12) 0-0.140362i 0+0i Abs err 0.14036 exceeds tol 1e-10 by 0.1 (4,12) -0.0251644+0.81947i -0.89943+0i Abs err 1.1983 exceeds tol 1e-10 by 1 (6,12) 0.0018151+0i 0+0i Abs err 0.0018151 exceeds tol 1e-10 by 0.002 (7,12) -1.73472e-17-0.277287i 0+0i Abs err 0.27729 exceeds tol 1e-10 by 0.3 (8,12) 1.1079+0i 0+2.67904i Abs err 2.8991 exceeds tol 1e-10 by 3 (9,12) -3.33067e-16-1.56125e-17i -1.19734+0i Abs err 1.1973 exceeds tol 1e-10 by 1 (10,12) -0.0938495-3.33067e-16i 2.78249+0i Abs err 2.8763 exceeds tol 1e-10 by 3 (11,12) 0.103233+1.66533e-16i -0.194077+0i Abs err 0.29731 exceeds tol 1e-10 by 0.3 (12,12) 3.35653+0i 9.9234+0i Abs err 6.5669 exceeds tol 1e-10 by 7 (13,12) 0.15497+0.376957i 0+0i Abs err 0.40757 exceeds tol 1e-10 by 0.4 (14,12) 1.38778e-17-0.935795i 2.08383+0i Abs err 2.2843 exceeds tol 1e-10 by 2 (15,12) 1.80411e-16+0.823033i -0.494809-0.643327i Abs err 1.5476 exceeds tol 1e-10 by 2 (16,12) 0.328091-2.77556e-16i 0.811266+0i Abs err 0.48318 exceeds tol 1e-10 by 0.5 (17,12) 1.89822-2.08167e-16i 0+0i Abs err 1.8982 exceeds tol 1e-10 by 2 (18,12) -1.6629+0.261079i 0.941609+0.459909i Abs err 2.6121 exceeds tol 1e-10 by 3 (19,12) -1.38587+0.323541i 0-1.94515i Abs err 2.6585 exceeds tol 1e-10 by 3 (20,12) -0.89943-3.60822e-16i -0.213415+0.649455i Abs err 0.94467 exceeds tol 1e-10 by 0.9 (1,13) 0-1.10408i -1.11829+0.979881i Abs err 2.3651 exceeds tol 1e-10 by 2 (2,13) 0+0i 0.184064-0.793154i Abs err 0.81423 exceeds tol 1e-10 by 0.8 (4,13) 0+0i 0.0018151+0i Abs err 0.0018151 exceeds tol 1e-10 by 0.002 (5,13) 0+0i 0.145041+0i Abs err 0.14504 exceeds tol 1e-10 by 0.1 (6,13) 0+0i 0.0972075+0i Abs err 0.097208 exceeds tol 1e-10 by 0.1 (7,13) 0+0i 0.252095+0i Abs err 0.2521 exceeds tol 1e-10 by 0.3 (8,13) 0+0i 0.379033+0i Abs err 0.37903 exceeds tol 1e-10 by 0.4 (9,13) 0+0i 0+1.95974i Abs err 1.9597 exceeds tol 1e-10 by 2 (10,13) -0.738217+0i -3.21936+0i Abs err 2.4811 exceeds tol 1e-10 by 2 (11,13) -4.16334e-17-1.30104e-18i 0.390954-0.342566i Abs err 0.5198 exceeds tol 1e-10 by 0.5 (12,13) 0.15497-0.376957i 0+0i Abs err 0.40757 exceeds tol 1e-10 by 0.4 (13,13) 6.48674+0i 6.85437+0i Abs err 0.36763 exceeds tol 1e-10 by 0.4 (14,13) 0.826647+1.40386i -0.133647-0.00654592i Abs err 1.7063 exceeds tol 1e-10 by 2 (15,13) -0.727038+2.77556e-17i -0.746437+0i Abs err 0.019398 exceeds tol 1e-10 by 0.02 (16,13) 1.86311+3.1225e-17i 1.42142-1.24335i Abs err 1.3195 exceeds tol 1e-10 by 1 (17,13) -1.2952-1.11022e-16i -0.783883+0i Abs err 0.51132 exceeds tol 1e-10 by 0.5 (18,13) -0.797005+1.31942i -0.327343-0.286674i Abs err 1.6734 exceeds tol 1e-10 by 2 (19,13) -1.93946-0.299047i 0+0i Abs err 1.9624 exceeds tol 1e-10 by 2 (20,13) 2.77556e-17+1.94515i -0.980759+0.859372i Abs err 1.4631 exceeds tol 1e-10 by 1 (1,14) 0.101442+0i 0+0i Abs err 0.10144 exceeds tol 1e-10 by 0.1 (2,14) 0+0i -0.29933+0i Abs err 0.29933 exceeds tol 1e-10 by 0.3 (4,14) 0+0i 0+0.277287i Abs err 0.27729 exceeds tol 1e-10 by 0.3 (5,14) 0.217716+1.16773e-17i -0.235869+0i Abs err 0.45359 exceeds tol 1e-10 by 0.5 (6,14) 0.0972075+0i -0.158082+0i Abs err 0.25529 exceeds tol 1e-10 by 0.3 (7,14) -0.158082-1.56125e-17i 0+0i Abs err 0.15808 exceeds tol 1e-10 by 0.2 (8,14) 0.317536-6.93889e-18i 0+0.777828i Abs err 0.84015 exceeds tol 1e-10 by 0.8 (9,14) -0.90796-6.245e-17i -0.347634+0i Abs err 0.56033 exceeds tol 1e-10 by 0.6 (10,14) -1.27161-0.41503i 0.754172+0i Abs err 2.0679 exceeds tol 1e-10 by 2 (11,14) -0.135586-0.913179i -0.056348+0i Abs err 0.91661 exceeds tol 1e-10 by 0.9 (12,14) 1.38778e-17+0.935795i 2.08383+0i Abs err 2.2843 exceeds tol 1e-10 by 2 (13,14) 0.826647-1.40386i -0.133647+0.00654592i Abs err 1.7063 exceeds tol 1e-10 by 2 (14,14) 4.34742+0i 1.82236+0i Abs err 2.5251 exceeds tol 1e-10 by 3 (15,14) -0.598632-1.16214i 1.22647+1.18322i Abs err 2.9718 exceeds tol 1e-10 by 3 (16,14) -0.892069+0i 0+0.372298i Abs err 0.96664 exceeds tol 1e-10 by 1 (17,14) -1.11022e-16+0.922597i 1.27477+0i Abs err 1.5736 exceeds tol 1e-10 by 2 (18,14) -0.31163-0.339087i 0+0.466198i Abs err 0.86348 exceeds tol 1e-10 by 0.9 (19,14) -0.211672-2.77556e-17i 0+0i Abs err 0.21167 exceeds tol 1e-10 by 0.2 (2,15) 0+0i -1.68914+0i Abs err 1.6891 exceeds tol 1e-10 by 2 (4,15) 0.314995+0i 0.328091+0i Abs err 0.013097 exceeds tol 1e-10 by 0.01 (5,15) -1.56109+5.25066e-17i -1.33103+0i Abs err 0.23006 exceeds tol 1e-10 by 0.2 (6,15) 0.145041-1.11022e-16i -0.892069+0i Abs err 1.0371 exceeds tol 1e-10 by 1 (7,15) -0.235869-2.35489e-16i 0+0i Abs err 0.23587 exceeds tol 1e-10 by 0.2 (9,15) 1.82761-1.43933i 0+0i Abs err 2.3263 exceeds tol 1e-10 by 2 (10,15) -1.19779-2.77556e-16i 0-0.212671i Abs err 1.2165 exceeds tol 1e-10 by 1 (11,15) 2.13374-3.77302e-16i 0+0i Abs err 2.1337 exceeds tol 1e-10 by 2 (12,15) 1.80411e-16-0.823033i -0.494809+0.643327i Abs err 1.5476 exceeds tol 1e-10 by 2 (13,15) -0.727038-2.77556e-17i -0.746437+0i Abs err 0.019398 exceeds tol 1e-10 by 0.02 (14,15) -0.598632+1.16214i 1.22647-1.18322i Abs err 2.9718 exceeds tol 1e-10 by 3 (15,15) 4.01774+0i 12.1192+0i Abs err 8.1015 exceeds tol 1e-10 by 8 (16,15) -1.33103+8.32667e-16i -0.394519+0i Abs err 0.93651 exceeds tol 1e-10 by 0.9 (17,15) 1.15234-0.112771i 7.19366+0i Abs err 6.0424 exceeds tol 1e-10 by 6 (18,15) 0.214877-0.927178i -0.695785+2.6308i Abs err 3.6727 exceeds tol 1e-10 by 4 (19,15) 0.266285+2.98372e-16i 1.86311+0i Abs err 1.5968 exceeds tol 1e-10 by 2 (20,15) -2.22045e-16-2.77556e-16i -2.03149+0.713654i Abs err 2.1532 exceeds tol 1e-10 by 2 (1,16) 0+0i -1.21834+0i Abs err 1.2183 exceeds tol 1e-10 by 1 (2,16) 0+0i -1.86673+0i Abs err 1.8667 exceeds tol 1e-10 by 2 (3,16) 0+0i 0+0.111087i Abs err 0.11109 exceeds tol 1e-10 by 0.1 (4,16) -6.91061e-18-0.212671i 0.103233+0i Abs err 0.2364 exceeds tol 1e-10 by 0.2 (5,16) -1.68914-4.16334e-17i 2.13374+0i Abs err 3.8229 exceeds tol 1e-10 by 4 (6,16) -0.746437-1.11022e-16i -0.135586+0.913179i Abs err 1.0987 exceeds tol 1e-10 by 1 (7,16) 1.22647-1.18322i 1.1406-0.737664i Abs err 0.45375 exceeds tol 1e-10 by 0.5 (9,16) -2.22045e-16+0i -0.249948+0i Abs err 0.24995 exceeds tol 1e-10 by 0.2 (10,16) 7.19366+1.33227e-15i 0.311786+0i Abs err 6.8819 exceeds tol 1e-10 by 7 (11,16) -0.394519-2.22045e-16i 2.94963-1.42467i Abs err 3.635 exceeds tol 1e-10 by 4 (12,16) 0.328091+2.77556e-16i 0.811266+0i Abs err 0.48318 exceeds tol 1e-10 by 0.5 (13,16) 1.86311-3.1225e-17i 1.42142+1.24335i Abs err 1.3195 exceeds tol 1e-10 by 1 (14,16) -0.892069+0i 0-0.372298i Abs err 0.96664 exceeds tol 1e-10 by 1 (15,16) -1.33103-8.32667e-16i -0.394519+0i Abs err 0.93651 exceeds tol 1e-10 by 0.9 (16,16) 12.1192+0i 6.73415+0i Abs err 5.385 exceeds tol 1e-10 by 5 (17,16) 7.77156e-16+6.10623e-16i 0.628076+0.32669i Abs err 0.70796 exceeds tol 1e-10 by 0.7 (18,16) -0.695785+2.6308i -0.332353+0i Abs err 2.6558 exceeds tol 1e-10 by 3 (19,16) -2.03149+0.713654i 0+0i Abs err 2.1532 exceeds tol 1e-10 by 2 (20,16) -0.494809+0.643327i -1.14021-1.17007i Abs err 1.9248 exceeds tol 1e-10 by 2 (2,17) 0+0i -1.89628+0i Abs err 1.8963 exceeds tol 1e-10 by 2 (3,17) 0.15189+0i 0+0.668626i Abs err 0.68566 exceeds tol 1e-10 by 0.7 (4,17) 0.10408+2.3164i -0.0938495+0i Abs err 2.3248 exceeds tol 1e-10 by 2 (5,17) -1.04903-0.317839i -1.19779+0i Abs err 0.35093 exceeds tol 1e-10 by 0.4 (6,17) 0.252095+0i -1.27161+0.41503i Abs err 1.5792 exceeds tol 1e-10 by 2 (7,17) -1.38778e-16+2.77556e-17i 0.0859175-0.276669i Abs err 0.2897 exceeds tol 1e-10 by 0.3 (8,17) 3.13171+2.77556e-17i 0+0i Abs err 3.1317 exceeds tol 1e-10 by 3 (9,17) 1.01659-0.800611i -0.634901+0.765092i Abs err 2.2757 exceeds tol 1e-10 by 2 (10,17) 0.0859175+0.276669i 0.0234857+0i Abs err 0.28363 exceeds tol 1e-10 by 0.3 (11,17) 1.1406+0.737664i 1.9517-2.29501i Abs err 3.1393 exceeds tol 1e-10 by 3 (12,17) 1.89822+2.08167e-16i 0+0i Abs err 1.8982 exceeds tol 1e-10 by 2 (13,17) -1.2952+1.11022e-16i -0.783883+0i Abs err 0.51132 exceeds tol 1e-10 by 0.5 (14,17) -1.11022e-16-0.922597i 1.27477+0i Abs err 1.5736 exceeds tol 1e-10 by 2 (15,17) 1.15234+0.112771i 7.19366+0i Abs err 6.0424 exceeds tol 1e-10 by 6 (16,17) 7.77156e-16-6.10623e-16i 0.628076-0.32669i Abs err 0.70796 exceeds tol 1e-10 by 0.7 (17,17) 7.95889+0i 9.70071+0i Abs err 1.7418 exceeds tol 1e-10 by 2 (18,17) -0.181725+8.32667e-17i -0.84422+3.75174i Abs err 3.8098 exceeds tol 1e-10 by 4 (19,17) -4.98282-2.22045e-16i -0.738217+0i Abs err 4.2446 exceeds tol 1e-10 by 4 (20,17) -8.32667e-16-8.88178e-16i -0.182142+0.219492i Abs err 0.28522 exceeds tol 1e-10 by 0.3 (1,18) 0+0i 0.128292-0.564922i Abs err 0.57931 exceeds tol 1e-10 by 0.6 (2,18) 0.128292-0.564922i 0+1.21381i Abs err 1.7834 exceeds tol 1e-10 by 2 (3,18) -0.273229+0i 0+0i Abs err 0.27323 exceeds tol 1e-10 by 0.3 (4,18) -0.105738+1.11022e-16i -1.6629-0.261079i Abs err 1.5789 exceeds tol 1e-10 by 2 (5,18) -2.28983e-16+1.21381i 0.214877+0.927178i Abs err 0.35824 exceeds tol 1e-10 by 0.4 (6,18) -0.327343+0.286674i -0.31163+0.339087i Abs err 0.054718 exceeds tol 1e-10 by 0.05 (7,18) 1.64799e-16-0.466198i -0.181725+0i Abs err 0.50036 exceeds tol 1e-10 by 0.5 (8,18) 0.778353+0.0643667i -0.273229+0i Abs err 1.0536 exceeds tol 1e-10 by 1 (9,18) -2.22562-1.11022e-16i 0.778353+0.0643667i Abs err 3.0047 exceeds tol 1e-10 by 3 (10,18) -0.84422-3.75174i -0.105738+0i Abs err 3.8237 exceeds tol 1e-10 by 4 (11,18) -0.332353+5.55112e-17i -2.22562+0i Abs err 1.8933 exceeds tol 1e-10 by 2 (12,18) -1.6629-0.261079i 0.941609-0.459909i Abs err 2.6121 exceeds tol 1e-10 by 3 (13,18) -0.797005-1.31942i -0.327343+0.286674i Abs err 1.6734 exceeds tol 1e-10 by 2 (14,18) -0.31163+0.339087i 0-0.466198i Abs err 0.86348 exceeds tol 1e-10 by 0.9 (15,18) 0.214877+0.927178i -0.695785-2.6308i Abs err 3.6727 exceeds tol 1e-10 by 4 (16,18) -0.695785-2.6308i -0.332353+0i Abs err 2.6558 exceeds tol 1e-10 by 3 (17,18) -0.181725-8.32667e-17i -0.84422-3.75174i Abs err 3.8098 exceeds tol 1e-10 by 4 (19,18) 2.64391+6.10623e-16i -0.797005-1.31942i Abs err 3.6852 exceeds tol 1e-10 by 4 (20,18) 0.941609-0.459909i 2.64391+0i Abs err 1.7633 exceeds tol 1e-10 by 2 (2,19) 1.69156-3.7406i 0+0i Abs err 4.1053 exceeds tol 1e-10 by 4 (3,19) 0+0i 0-1.10408i Abs err 1.1041 exceeds tol 1e-10 by 1 (4,19) 0.0660565-2.15111i 0.15497-0.376957i Abs err 1.7764 exceeds tol 1e-10 by 2 (5,19) -3.76435e-16-1.66533e-16i -0.727038+0i Abs err 0.72704 exceeds tol 1e-10 by 0.7 (6,19) -0.980759-0.859372i 0.826647+1.40386i Abs err 2.8964 exceeds tol 1e-10 by 3 (7,19) 2.77556e-17-8.32667e-17i -1.2952+0i Abs err 1.2952 exceeds tol 1e-10 by 1 (8,19) -2.7403-2.77556e-17i 0+0i Abs err 2.7403 exceeds tol 1e-10 by 3 (9,19) -0.774574+1.11022e-16i 0+0i Abs err 0.77457 exceeds tol 1e-10 by 0.8 (10,19) -0.182142-0.219492i 0+0i Abs err 0.28522 exceeds tol 1e-10 by 0.3 (11,19) -1.14021+1.17007i 0+0i Abs err 1.6338 exceeds tol 1e-10 by 2 (12,19) -1.38587-0.323541i 0+1.94515i Abs err 2.6585 exceeds tol 1e-10 by 3 (13,19) -1.93946+0.299047i 0+0i Abs err 1.9624 exceeds tol 1e-10 by 2 (14,19) -0.211672+2.77556e-17i 0+0i Abs err 0.21167 exceeds tol 1e-10 by 0.2 (15,19) 0.266285-2.98372e-16i 1.86311+0i Abs err 1.5968 exceeds tol 1e-10 by 2 (16,19) -2.03149-0.713654i 0+0i Abs err 2.1532 exceeds tol 1e-10 by 2 (17,19) -4.98282+2.22045e-16i -0.738217+0i Abs err 4.2446 exceeds tol 1e-10 by 4 (18,19) 2.64391-6.10623e-16i -0.797005+1.31942i Abs err 3.6852 exceeds tol 1e-10 by 4 (19,19) 22.4033+0i 6.48674+0i Abs err 15.917 exceeds tol 1e-10 by 2e+01 (20,19) -0.213415-0.649455i -1.93946-0.299047i Abs err 1.7613 exceeds tol 1e-10 by 2 (1,20) 0+0i 1.69156-3.7406i Abs err 4.1053 exceeds tol 1e-10 by 4 (3,20) 1.23048e-16+2.67904i 0+0i Abs err 2.679 exceeds tol 1e-10 by 3 (4,20) 2.78249-3.18265e-16i -1.38587-0.323541i Abs err 4.1809 exceeds tol 1e-10 by 4 (5,20) 7.77156e-16+3.25587e-16i 0.266285+0i Abs err 0.26628 exceeds tol 1e-10 by 0.3 (6,20) -5.55112e-17+4.44089e-16i -0.211672+0i Abs err 0.21167 exceeds tol 1e-10 by 0.2 (7,20) 2.08383-6.245e-17i -4.98282+0i Abs err 7.0667 exceeds tol 1e-10 by 7 (8,20) -1.19734+3.88578e-16i 0+0i Abs err 1.1973 exceeds tol 1e-10 by 1 (9,20) -0.194077+2.22045e-16i -2.7403+0i Abs err 2.5462 exceeds tol 1e-10 by 3 (10,20) 6.93889e-17-3.33067e-16i 0.0660565-2.15111i Abs err 2.1521 exceeds tol 1e-10 by 2 (11,20) 0.811266+5.55112e-17i -0.774574+0i Abs err 1.5858 exceeds tol 1e-10 by 2 (12,20) -0.89943+3.60822e-16i -0.213415-0.649455i Abs err 0.94467 exceeds tol 1e-10 by 0.9 (13,20) 2.77556e-17-1.94515i -0.980759-0.859372i Abs err 1.4631 exceeds tol 1e-10 by 1 (15,20) -2.22045e-16+2.77556e-16i -2.03149-0.713654i Abs err 2.1532 exceeds tol 1e-10 by 2 (16,20) -0.494809-0.643327i -1.14021+1.17007i Abs err 1.9248 exceeds tol 1e-10 by 2 (17,20) -8.32667e-16+8.88178e-16i -0.182142-0.219492i Abs err 0.28522 exceeds tol 1e-10 by 0.3 (18,20) 0.941609+0.459909i 2.64391+0i Abs err 1.7633 exceeds tol 1e-10 by 2 (19,20) -0.213415+0.649455i -1.93946+0.299047i Abs err 1.7613 exceeds tol 1e-10 by 2 (20,20) 9.9234+0i 22.4033+0i Abs err 12.48 exceeds tol 1e-10 by 1e+01 ***** testif HAVE_CXSPARSE n = 20; d = 0.2; ## initialize generators to make behavior reproducible rand ("state", 42); randn ("state", 42); a = 1i*sprandn (n,n,d) + speye (n,n); [c,r] = qr (a, ones (n,1)); assert (r\c, full (a)\ones (n,1), 10e-10); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_CXSPARSE n = 20; d = 0.2; ## initialize generators to make behavior reproducible rand ("state", 42); randn ("state", 42); a = 1i*sprandn (n,n,d) + speye (n,n); b = randn (n,2); [c,r] = qr (a, b); assert (r\c, full (a)\b, 10e-10); !!!!! test failed element number 2 undefined in return list >>>>> processing /home/osboxes/Repositories/Octave/octave-1/.build/test/sparse.tst ***** testif HAVE_CXSPARSE [c,r] = qr (us, xf); assert (us\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (us, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (us\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pus, xf); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pus\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pus, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pus\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (ls, xf); assert (ls\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (ls, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (ls\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pls, xf); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pls\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pls, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pls\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_CXSPARSE [c,r] = qr (us, xf); assert (us\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (us, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (us\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pus, xf); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pus\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pus, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pus\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (ls, xf); assert (ls\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (ls, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (ls\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pls, xf); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pls\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pls, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pls\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_CXSPARSE [c,r] = qr (us, xf); assert (us\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (us, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (us\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pus, xf); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pus\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pus, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pus\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (ls, xf); assert (ls\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (ls, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (ls\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pls, xf); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pls\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pls, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pls\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_CXSPARSE [c,r] = qr (us, xf); assert (us\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (us, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (us\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pus, xf); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pus\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pus, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pus\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (ls, xf); assert (ls\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (ls, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (ls\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pls, xf); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pls\xf, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list ***** testif HAVE_UMFPACK [c,r] = qr (pls, xs); r = matrix_type (r, "Singular"); ## Force Matrix Type assert (pls\xs, r\c, 100*eps); !!!!! test failed element number 2 undefined in return list