6 December 2007 3:00:06.308 PM NINT_EXACTNESS FORTRAN90 version Investigate the polynomial exactness of a quadrature rule by integrating all monomials of a given degree over the [0,1] hypercube. The rule will be adjusted to the [0,1] hypercube. NINT_EXACTNESS: User input: Quadrature rule X file = "cc_d2_level4_x.txt". Quadrature rule W file = "cc_d2_level4_w.txt". Quadrature rule R file = "cc_d2_level4_r.txt". Maximum total degree to check = 17 Spatial dimension = 2 Number of points = 65 Error Degree Exponents 0.0000000000000002 0 0 0 0.0000000000000004 1 1 0 0.0000000000000002 1 0 1 0.0000000000000004 2 2 0 0.0000000000000002 2 1 1 0.0000000000000004 2 0 2 0.0000000000000004 3 3 0 0.0000000000000004 3 2 1 0.0000000000000004 3 1 2 0.0000000000000002 3 0 3 0.0000000000000004 4 4 0 0.0000000000000004 4 3 1 0.0000000000000004 4 2 2 0.0000000000000004 4 1 3 0.0000000000000004 4 0 4 0.0000000000000004 5 5 0 0.0000000000000002 5 4 1 0.0000000000000004 5 3 2 0.0000000000000004 5 2 3 0.0000000000000007 5 1 4 0.0000000000000004 5 0 5 0.0000000000000007 6 6 0 0.0000000000000004 6 5 1 0.0000000000000002 6 4 2 0.0000000000000004 6 3 3 0.0000000000000002 6 2 4 0.0000000000000004 6 1 5 0.0000000000000007 6 0 6 0.0000000000000007 7 7 0 0.0000000000000000 7 6 1 0.0000000000000004 7 5 2 0.0000000000000009 7 4 3 0.0000000000000007 7 3 4 0.0000000000000004 7 2 5 0.0000000000000007 7 1 6 0.0000000000000007 7 0 7 0.0000000000000004 8 8 0 0.0000000000000004 8 7 1 0.0000000000000002 8 6 2 0.0000000000000004 8 5 3 0.0000000000000007 8 4 4 0.0000000000000004 8 3 5 0.0000000000000007 8 2 6 0.0000000000000002 8 1 7 0.0000000000000004 8 0 8 0.0000000000000002 9 9 0 0.0000000000000007 9 8 1 0.0000000000000004 9 7 2 0.0000000000000004 9 6 3 0.0000000000000004 9 5 4 0.0000000000000002 9 4 5 0.0000000000000007 9 3 6 0.0000000000000009 9 2 7 0.0000000000000007 9 1 8 0.0000000000000000 9 0 9 0.0000000000000007 10 10 0 0.0000000000000004 10 9 1 0.0000000000000007 10 8 2 0.0000000000000007 10 7 3 0.0000434027777785 10 6 4 0.0000000000000007 10 5 5 0.0000434027777785 10 4 6 0.0000000000000009 10 3 7 0.0000000000000007 10 2 8 0.0000000000000004 10 1 9 0.0000000000000009 10 010 0.0000000000000016 11 11 0 0.0000000000000009 11 10 1 0.0000000000000011 11 9 2 0.0000000000000004 11 8 3 0.0001736111111115 11 7 4 0.0001302083333341 11 6 5 0.0001302083333341 11 5 6 0.0001736111111115 11 4 7 0.0000000000000007 11 3 8 0.0000000000000011 11 2 9 0.0000000000000009 11 110 0.0000000000000013 11 011 0.0000000000000011 12 12 0 0.0000000000000009 12 11 1 0.0000000968811992 12 10 2 0.0000000000000013 12 9 3 0.0004069010416672 12 8 4 0.0005208333333342 12 7 5 0.0005002170138888 12 6 6 0.0005208333333342 12 5 7 0.0004069010416672 12 4 8 0.0000000000000009 12 3 9 0.0000000968811992 12 210 0.0000000000000009 12 111 0.0000000000000009 12 012 0.0000000000000009 13 13 0 0.0000000000000009 13 12 1 0.0000005812872012 13 11 2 0.0000001937623998 13 10 3 0.0007324218750004 13 9 4 0.0012207031250004 13 8 5 0.0013932291666674 13 7 6 0.0013932291666676 13 6 7 0.0012207031250002 13 5 8 0.0007324218750004 13 4 9 0.0000001937623998 13 310 0.0000005812872015 13 211 0.0000000000000007 13 112 0.0000000000000016 13 013 0.0000000000000011 14 14 0 0.0000000000000013 14 13 1 0.0000019981747572 14 12 2 0.0000011625744040 14 11 3 0.0011220861364305 14 10 4 0.0021972656250009 14 9 5 0.0028951009114595 14 8 6 0.0031423611111121 14 7 7 0.0028951009114593 14 6 8 0.0021972656250009 14 5 9 0.0011220861364307 14 410 0.0000011625744040 14 311 0.0000019981747571 14 212 0.0000000000000011 14 113 0.0000000000000007 14 014 0.0000000000000009 15 15 0 0.0000000000000013 15 14 1 0.0000051710340699 15 13 2 0.0000039963495154 15 12 3 0.0015404595269104 15 11 4 0.0033667428152910 15 10 5 0.0049377441406260 15 9 6 0.0058837890625012 15 8 7 0.0058837890625010 15 7 8 0.0049377441406264 15 6 9 0.0033667428152910 15 510 0.0015404595269106 15 411 0.0000039963495151 15 312 0.0000051710340699 15 213 0.0000000000000011 15 114 0.0000000000000011 15 015 0.0000000000000011 16 16 0 0.0000000000000016 16 15 1 0.0000112056732168 16 14 2 0.0000103420681407 16 13 3 0.0019516203138576 16 12 4 0.0046242850167422 16 11 5 0.0073567567048258 16 10 6 0.0094970703125012 16 9 7 0.0103187561035170 16 8 8 0.0094970703125012 16 7 9 0.0073567567048261 16 610 0.0046242850167419 16 511 0.0019516203138570 16 412 0.0000103420681409 16 313 0.0000112056732166 16 214 0.0000000000000009 16 115 0.0000000000000011 16 016 0.0000000000000013 17 17 0 0.0000000000000009 17 16 1 0.0000214894612620 17 15 2 0.0000224113464351 17 14 3 0.0023229881569200 17 13 4 0.0058648518153610 17 12 5 0.0099490525987422 17 11 6 0.0137151082356781 17 10 7 0.0160102844238292 17 9 8 0.0160102844238292 17 8 9 0.0137151082356781 17 710 0.0099490525987420 17 611 0.0058648518153612 17 512 0.0023229881569204 17 413 0.0000224113464343 17 314 0.0000214894612617 17 215 0.0000000000000013 17 116 0.0000000000000016 17 017 NINT_EXACTNESS: Normal end of execution. 6 December 2007 3:00:06.321 PM