September 28 2010 9:12:05.514 AM TRIANGLE_EXACTNESS FORTRAN90 version Investigate the polynomial exactness of a quadrature rule for the triangle by integrating all monomials up to a given degree. The rule will be adjusted to the unit triangle. TRIANGLE_EXACTNESS: User input: Quadrature rule X file = "toms612_19_x.txt". Quadrature rule W file = "toms612_19_w.txt". Quadrature rule R file = "toms612_19_r.txt". Maximum total degree to check = 10 Spatial dimension = 2 Number of points = 19 Error Degree Exponents 0.0000000000000000 0 0 0 0.0000000259701237 1 1 0 0.0000000259701237 1 0 1 0.0000000230576200 2 2 0 0.0000000808228700 2 1 1 0.0000000230576201 2 0 2 0.0000000127948432 3 3 0 0.0000001163621509 3 2 1 0.0000001163621509 3 1 2 0.0000000127948431 3 0 3 0.0000000056799622 4 4 0 0.0000001356269363 4 3 1 0.0000001904786862 4 2 2 0.0000001356269361 4 1 3 0.0000000056799622 4 0 4 0.0000000022062973 5 5 0 0.0000001526353566 5 4 1 0.0000002383158741 5 3 2 0.0000002383158741 5 2 3 0.0000001526353566 5 1 4 0.0000000022062974 5 0 5 0.0000000007835467 6 6 0 0.0000001695354466 6 5 1 0.0000002873637984 6 4 2 0.0000002917964901 6 3 3 0.0000002873637984 6 2 4 0.0000001695354466 6 1 5 0.0000000007835467 6 0 6 0.0000000002608782 7 7 0 0.0000001835984624 7 6 1 0.0000003468300782 7 5 2 0.0000003404376691 7 4 3 0.0000003404376692 7 3 4 0.0000003468300782 7 2 5 0.0000001835984624 7 1 6 0.0000000002608782 7 0 7 0.0000000000827226 8 8 0 0.0000001925142502 8 7 1 0.0000004111406730 8 6 2 0.0000004145542521 8 5 3 0.0000003600026665 8 4 4 0.0000004145542523 8 3 5 0.0000004111406730 8 2 6 0.0000001925142503 8 1 7 0.0000000000827226 8 0 8 0.0000000000252482 9 9 0 0.0000001955202159 9 8 1 0.0000004715144647 9 7 2 0.0000005163913170 9 6 3 0.0000004033875862 9 5 4 0.0000004033875862 9 4 5 0.0000005163913172 9 3 6 0.0000004715144647 9 2 7 0.0000001955202159 9 1 8 0.0000000000252485 9 0 9 0.0000302640377380 10 10 0 0.0001511271575447 10 9 1 0.0006978420367681 10 8 2 0.0018807275042874 10 7 3 0.0033092569449040 10 6 4 0.0039766770801990 10 5 5 0.0033092569449044 10 4 6 0.0018807275042871 10 3 7 0.0006978420367679 10 2 8 0.0001511271575450 10 1 9 0.0000302640377381 10 0 10 TRIANGLE_EXACTNESS: Normal end of execution. September 28 2010 9:12:05.519 AM