25 December 2009 5:43:45.214 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 = "ccs_d2_level4_x.txt". Quadrature rule W file = "ccs_d2_level4_w.txt". Quadrature rule R file = "ccs_d2_level4_r.txt". Maximum total degree to check = 17 Spatial dimension = 2 Number of points = 49 Error Degree Exponents 0.0000000000000000 0 0 0 0.0000000000000002 1 1 0 0.0000000000000002 1 0 1 0.0000000000000004 2 2 0 0.0000000000000004 2 1 1 0.0000000000000004 2 0 2 0.0000000000000004 3 3 0 0.0000000000000002 3 2 1 0.0000000000000002 3 1 2 0.0000000000000004 3 0 3 0.0000000000000004 4 4 0 0.0000000000000002 4 3 1 0.0000000000000002 4 2 2 0.0000000000000002 4 1 3 0.0000000000000004 4 0 4 0.0000000000000007 5 5 0 0.0000000000000002 5 4 1 0.0000000000000004 5 3 2 0.0000000000000004 5 2 3 0.0000000000000002 5 1 4 0.0000000000000004 5 0 5 0.0000000000000009 6 6 0 0.0000000000000004 6 5 1 0.0000000000000002 6 4 2 0.0000000000000004 6 3 3 0.0000000000000007 6 2 4 0.0000000000000004 6 1 5 0.0000000000000007 6 0 6 0.0000000000000004 7 7 0 0.0000000000000004 7 6 1 0.0000000000000007 7 5 2 0.0000000000000004 7 4 3 0.0000000000000004 7 3 4 0.0000000000000004 7 2 5 0.0000000000000009 7 1 6 0.0000000000000009 7 0 7 0.0000000000000004 8 8 0 0.0000000000000004 8 7 1 0.0000000000000007 8 6 2 0.0000000000000009 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 0.0000000000000004 9 9 0 0.0000000000000007 9 8 1 0.0000000000000007 9 7 2 0.0000000000000009 9 6 3 0.0000000000000004 9 5 4 0.0000000000000002 9 4 5 0.0000000000000009 9 3 6 0.0000000000000004 9 2 7 0.0000000000000009 9 1 8 0.0000000000000002 9 0 9 0.0000003875248011 10 10 0 0.0000000000000004 10 9 1 0.0000000000000007 10 8 2 0.0000000000000007 10 7 3 0.0000434027777783 10 6 4 0.0000000000000002 10 5 5 0.0000434027777785 10 4 6 0.0000000000000007 10 3 7 0.0000000000000009 10 2 8 0.0000000000000007 10 1 9 0.0000003875248011 10 010 0.0000023251488088 11 11 0 0.0000003875248010 11 10 1 0.0000000000000009 11 9 2 0.0000000000000007 11 8 3 0.0001736111111117 11 7 4 0.0001302083333339 11 6 5 0.0001302083333341 11 5 6 0.0001736111111119 11 4 7 0.0000000000000007 11 3 8 0.0000000000000004 11 2 9 0.0000003875248007 11 110 0.0000023251488090 11 011 0.0000079926990321 12 12 0 0.0000023251488088 12 11 1 0.0000003875248009 12 10 2 0.0000000000000009 12 9 3 0.0004069010416674 12 8 4 0.0005208333333340 12 7 5 0.0005002170138899 12 6 6 0.0005208333333346 12 5 7 0.0004069010416672 12 4 8 0.0000000000000009 12 3 9 0.0000003875248009 12 210 0.0000023251488087 12 111 0.0000079926990323 12 012 0.0000206841362839 13 13 0 0.0000079926990321 13 12 1 0.0000023251488085 13 11 2 0.0000003875248008 13 10 3 0.0007324218750004 13 9 4 0.0012207031250007 13 8 5 0.0013932291666676 13 7 6 0.0013932291666678 13 6 7 0.0012207031250009 13 5 8 0.0007324218750009 13 4 9 0.0000003875248010 13 310 0.0000023251488087 13 211 0.0000079926990318 13 112 0.0000206841362836 13 013 0.0000448226928702 14 14 0 0.0000206841362839 14 13 1 0.0000079926990318 14 12 2 0.0000023251488084 14 11 3 0.0011219650349299 14 10 4 0.0021972656250007 14 9 5 0.0028951009114595 14 8 6 0.0031423611111125 14 7 7 0.0028951009114591 14 6 8 0.0021972656250016 14 5 9 0.0011219650349299 14 410 0.0000023251488087 14 311 0.0000079926990318 14 212 0.0000206841362836 14 113 0.0000448226928700 14 014 0.0000859578450513 15 15 0 0.0000448226928702 15 14 1 0.0000206841362835 15 13 2 0.0000079926990318 15 12 3 0.0015397329179077 15 11 4 0.0033666701543908 15 10 5 0.0049377441406260 15 9 6 0.0058837890625014 15 8 7 0.0058837890625014 15 7 8 0.0049377441406260 15 6 9 0.0033666701543911 15 510 0.0015397329179074 15 411 0.0000079926990315 15 312 0.0000206841362835 15 213 0.0000448226928699 15 114 0.0000859578450511 15 015 0.0001507679621366 16 16 0 0.0000859578450509 16 15 1 0.0000448226928700 16 14 2 0.0000206841362836 16 13 3 0.0019491225954098 16 12 4 0.0046238490513404 16 11 5 0.0073567143193007 16 10 6 0.0094970703125010 16 9 7 0.0103187561035172 16 8 8 0.0094970703125010 16 7 9 0.0073567143193010 16 610 0.0046238490513404 16 511 0.0019491225954098 16 412 0.0000206841362836 16 313 0.0000448226928701 16 214 0.0000859578450505 16 115 0.0001507679621364 16 016 0.0002470527376436 17 17 0 0.0001507679621368 17 16 1 0.0000859578450507 17 15 2 0.0000448226928700 17 14 3 0.0023165243643315 17 13 4 0.0058633531842922 17 12 5 0.0099487982855913 17 11 6 0.0137150840153781 17 10 7 0.0160102844238295 17 9 8 0.0160102844238295 17 8 9 0.0137150840153788 17 710 0.0099487982855913 17 611 0.0058633531842927 17 512 0.0023165243643315 17 413 0.0000448226928700 17 314 0.0000859578450507 17 215 0.0001507679621365 17 116 0.0002470527376436 17 017 NINT_EXACTNESS: Normal end of execution. 25 December 2009 5:43:45.230 PM