3 July 2007 12:09:09.873 PM NINT_EXACTNESS_TRI FORTRAN90 version Investigate the polynomial exactness of a quadrature rule for the triangle by integrating all monomials of a given degree. The rule will be adjusted to the unit triangle. NINT_EXACTNESS_TRI: User input: Quadrature rule X file = "gauss8x8_x.txt". Quadrature rule W file = "gauss8x8_w.txt". Quadrature rule R file = "gauss8x8_r.txt". Maximum total degree to check = 17 Spatial dimension = 2 Number of points = 64 Error Degree Exponents 0.0000000000000002 0 0 0 0.0000000000087216 1 1 0 0.0000000000043610 1 0 1 0.0000000000194947 2 2 0 0.0000000000020510 2 1 1 0.0000000000051310 2 0 2 0.0000000000250029 3 3 0 0.0000000000112315 3 2 1 0.0000000000109064 3 1 2 0.0000000000036868 3 0 3 0.0000000000271954 4 4 0 0.0000000000206187 4 3 1 0.0000000000018434 4 2 2 0.0000000000172813 4 1 3 0.0000000000009683 4 0 4 0.0000000000287433 5 5 0 0.0000000000233236 5 4 1 0.0000000000170134 5 3 2 0.0000000000095339 5 2 3 0.0000000000203804 5 1 4 0.0000000000022672 5 0 5 0.0000000000317820 6 6 0 0.0000000000196252 6 5 1 0.0000000000294873 6 4 2 0.0000000000045399 6 3 3 0.0000000000179778 6 2 4 0.0000000000211808 6 1 5 0.0000000000056165 6 0 6 0.0000000000375853 7 7 0 0.0000000000114744 7 6 1 0.0000000000359266 7 5 2 0.0000000000214381 7 4 3 0.0000000000089786 7 3 4 0.0000000000224778 7 2 5 0.0000000000208105 7 1 6 0.0000000000089201 7 0 7 0.0000000000467110 8 8 0 0.0000000000010827 8 7 1 0.0000000000357202 8 6 2 0.0000000000362368 8 5 3 0.0000000000066384 8 4 4 0.0000000000193903 8 3 5 0.0000000000238010 8 2 6 0.0000000000200626 8 1 7 0.0000000000121402 8 0 8 0.0000000000592392 9 9 0 0.0000000000096685 9 8 1 0.0000000000297519 9 7 2 0.0000000000461642 9 6 3 0.0000000000243235 9 5 4 0.0000000000080993 9 4 5 0.0000000000258422 9 3 6 0.0000000000230356 9 2 7 0.0000000000194025 9 1 8 0.0000000000152945 9 0 9 0.0000000000749599 10 10 0 0.0000000000193612 10 9 1 0.0000000000194097 10 8 2 0.0000000000504370 10 7 3 0.0000000000401829 10 6 4 0.0000000000084640 10 5 5 0.0000000000199309 10 4 6 0.0000000000287974 10 3 7 0.0000000000211149 10 2 8 0.0000000000190596 10 1 9 0.0000000000184176 10 010 0.0000000000934990 11 11 0 0.0000000000270062 11 10 1 0.0000000000061207 11 9 2 0.0000000000493111 11 8 3 0.0000000000522373 11 7 4 0.0000000000261203 11 6 5 0.0000000000066698 11 5 6 0.0000000000282192 11 4 7 0.0000000000290550 11 3 8 0.0000000000187328 11 2 9 0.0000000000191196 11 110 0.0000000000215454 11 011 0.0000000001144097 12 12 0 0.0000000000319653 12 11 1 0.0000000000088229 12 10 2 0.0000000000434778 12 9 3 0.0000000000598110 12 8 4 0.0000000000421397 12 7 5 0.0000000000101007 12 6 6 0.0000000000192473 12 5 7 0.0000000000332028 12 4 8 0.0000000000273956 12 3 9 0.0000000000163702 12 210 0.0000000000195777 12 111 0.0000000000247087 12 012 0.0000000001372229 13 13 0 0.0000000000338776 13 12 1 0.0000000000243139 13 11 2 0.0000000000337803 13 10 3 0.0000000000628726 13 9 4 0.0000000000552177 13 8 5 0.0000000000271929 13 7 6 0.0000000000048561 13 6 7 0.0000000000288423 13 5 8 0.0000000000353835 13 4 9 0.0000000000244911 13 310 0.0000000000143394 13 211 0.0000000000203833 13 112 0.0000000000279293 13 013 0.0000000001614817 14 14 0 0.0000000000325924 14 13 1 0.0000000000394513 14 12 2 0.0000000000210955 14 11 3 0.0000000000616869 14 10 4 0.0000000000648480 14 9 5 0.0000000000428354 14 8 6 0.0000000000115498 14 7 7 0.0000000000176152 14 6 8 0.0000000000355789 14 5 9 0.0000000000352944 14 410 0.0000000000208900 14 311 0.0000000000128280 14 212 0.0000000000214633 14 113 0.0000000000312219 14 014 0.0000000001867605 15 15 0 0.0000000000281069 15 14 1 0.0000000000535201 15 13 2 0.0000000000062728 15 12 3 0.0000000000566703 15 11 4 0.0000000000708852 15 10 5 0.0000000000562248 15 9 6 0.0000000000277742 15 8 7 0.0000000000028719 15 7 8 0.0000000000279354 15 6 9 0.0000000000397473 15 510 0.0000000000334390 15 411 0.0000000000170288 15 312 0.0000000000119280 15 213 0.0000000000227343 15 114 0.0000000000345942 15 015 0.0000000289786407 16 16 0 0.0000002301482813 16 15 1 0.0000011505727657 16 14 2 0.0000040272455213 16 13 3 0.0000104708609356 16 12 4 0.0000209415518635 16 11 5 0.0000329083352051 16 10 6 0.0000411352925016 16 9 7 0.0000411353480509 16 8 8 0.0000329082836112 16 7 9 0.0000209415893120 16 610 0.0000104708542779 16 511 0.0000040272053454 16 412 0.0000011506519932 16 313 0.0000002301160850 16 214 0.0000000287900868 16 115 0.0000000077674658 16 016 0.0000002583363031 17 17 0 0.0000019205614872 17 16 1 0.0000087853888168 17 15 2 0.0000274799874236 17 14 3 0.0000616404318077 17 13 4 0.0001003965426203 17 12 5 0.0001152670037202 17 11 6 0.0000803348340037 17 10 7 0.0000024197536114 17 9 8 0.0000759793830467 17 8 9 0.0001120993139072 17 710 0.0000985487828565 17 611 0.0000607876098784 17 512 0.0000271753536388 17 413 0.0000087042534951 17 314 0.0000019053103815 17 215 0.0000002502940148 17 116 0.0000000704026301 17 017 NINT_EXACTNESS_TRI: Normal end of execution. 3 July 2007 12:09:09.895 PM