17 August 2014 11:00:00.073 AM FELIPPA_PRB FORTRAN77 version Test the FELIPPA library. HEXA_UNIT_MONOMIAL_TEST For the unit hexahedron, HEXA_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Y^BETA Z^GAMMA Volume = 8.00000 ALPHA BETA GAMMA INTEGRAL 0 0 0 8.00000 0 0 1 0.00000 0 0 2 2.66667 0 0 3 0.00000 0 0 4 1.60000 0 1 0 0.00000 0 1 1 0.00000 0 1 2 0.00000 0 1 3 0.00000 0 2 0 2.66667 0 2 1 0.00000 0 2 2 0.888889 0 3 0 0.00000 0 3 1 0.00000 0 4 0 1.60000 1 0 0 0.00000 1 0 1 0.00000 1 0 2 0.00000 1 0 3 0.00000 1 1 0 0.00000 1 1 1 0.00000 1 1 2 0.00000 1 2 0 0.00000 1 2 1 0.00000 1 3 0 0.00000 2 0 0 2.66667 2 0 1 0.00000 2 0 2 0.888889 2 1 0 0.00000 2 1 1 0.00000 2 2 0 0.888889 3 0 0 0.00000 3 0 1 0.00000 3 1 0 0.00000 4 0 0 1.60000 LINE_UNIT_MONOMIAL_TEST For the unit line, LINE_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Volume = 2.00000 ALPHA INTEGRAL 0 2.00000 1 0.00000 2 0.666667 3 0.00000 4 0.400000 PYRA_UNIT_MONOMIAL_TEST For the unit pyramid, PYRA_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Y^BETA Z^GAMMA Volume = 1.33333 ALPHA BETA GAMMA INTEGRAL 0 0 0 1.33333 0 0 1 0.333333 0 0 2 0.133333 0 0 3 0.666667E-01 0 0 4 0.380952E-01 0 1 0 0.00000 0 1 1 0.00000 0 1 2 0.00000 0 1 3 0.00000 0 2 0 0.266667 0 2 1 0.444444E-01 0 2 2 0.126984E-01 0 3 0 0.00000 0 3 1 0.00000 0 4 0 0.114286 1 0 0 0.00000 1 0 1 0.00000 1 0 2 0.00000 1 0 3 0.00000 1 1 0 0.00000 1 1 1 0.00000 1 1 2 0.00000 1 2 0 0.00000 1 2 1 0.00000 1 3 0 0.00000 2 0 0 0.266667 2 0 1 0.444444E-01 2 0 2 0.126984E-01 2 1 0 0.00000 2 1 1 0.00000 2 2 0 0.634921E-01 3 0 0 0.00000 3 0 1 0.00000 3 1 0 0.00000 4 0 0 0.114286 QUAD_UNIT_MONOMIAL_TEST For the unit quadrilateral, QUAD_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Y^BETA Volume = 4.00000 ALPHA BETA INTEGRAL 0 0 4.00000 0 1 0.00000 0 2 1.33333 0 3 0.00000 0 4 0.800000 1 0 0.00000 1 1 0.00000 1 2 0.00000 1 3 0.00000 2 0 1.33333 2 1 0.00000 2 2 0.444444 3 0 0.00000 3 1 0.00000 4 0 0.800000 TETR_UNIT_MONOMIAL_TEST For the unit tetrahedron, TETR_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Y^BETA Z^GAMMA Volume = 0.166667 ALPHA BETA GAMMA INTEGRAL 0 0 0 0.166667 0 0 1 0.416667E-01 0 0 2 0.166667E-01 0 0 3 0.833333E-02 0 0 4 0.476190E-02 0 1 0 0.416667E-01 0 1 1 0.833333E-02 0 1 2 0.277778E-02 0 1 3 0.119048E-02 0 2 0 0.166667E-01 0 2 1 0.277778E-02 0 2 2 0.793651E-03 0 3 0 0.833333E-02 0 3 1 0.119048E-02 0 4 0 0.476190E-02 1 0 0 0.416667E-01 1 0 1 0.833333E-02 1 0 2 0.277778E-02 1 0 3 0.119048E-02 1 1 0 0.833333E-02 1 1 1 0.138889E-02 1 1 2 0.396825E-03 1 2 0 0.277778E-02 1 2 1 0.396825E-03 1 3 0 0.119048E-02 2 0 0 0.166667E-01 2 0 1 0.277778E-02 2 0 2 0.793651E-03 2 1 0 0.277778E-02 2 1 1 0.396825E-03 2 2 0 0.793651E-03 3 0 0 0.833333E-02 3 0 1 0.119048E-02 3 1 0 0.119048E-02 4 0 0 0.476190E-02 TRIG_UNIT_MONOMIAL_TEST For the unit triangle, TRIG_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Y^BETA Volume = 0.500000 ALPHA BETA INTEGRAL 0 0 0.500000 0 1 0.166667 0 2 0.833333E-01 0 3 0.500000E-01 0 4 0.333333E-01 1 0 0.166667 1 1 0.416667E-01 1 2 0.166667E-01 1 3 0.833333E-02 2 0 0.833333E-01 2 1 0.166667E-01 2 2 0.555556E-02 3 0 0.500000E-01 3 1 0.833333E-02 4 0 0.333333E-01 WEDG_UNIT_MONOMIAL_TEST For the unit wedge, WEDG_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Y^BETA Z^GAMMA Volume = 1.00000 ALPHA BETA GAMMA INTEGRAL 0 0 0 1.00000 0 0 1 0.00000 0 0 2 0.333333 0 0 3 0.00000 0 0 4 0.200000 0 1 0 0.333333 0 1 1 0.00000 0 1 2 0.111111 0 1 3 0.00000 0 2 0 0.166667 0 2 1 0.00000 0 2 2 0.555556E-01 0 3 0 0.100000 0 3 1 0.00000 0 4 0 0.666667E-01 1 0 0 0.333333 1 0 1 0.00000 1 0 2 0.111111 1 0 3 0.00000 1 1 0 0.833333E-01 1 1 1 0.00000 1 1 2 0.277778E-01 1 2 0 0.333333E-01 1 2 1 0.00000 1 3 0 0.166667E-01 2 0 0 0.166667 2 0 1 0.00000 2 0 2 0.555556E-01 2 1 0 0.333333E-01 2 1 1 0.00000 2 2 0 0.111111E-01 3 0 0 0.100000 3 0 1 0.00000 3 1 0 0.166667E-01 4 0 0 0.666667E-01 HEXA_UNIT_QUAD_TEST For the unit hexahedron, we approximate monomial integrals with HEXA_UNIT_RULE, which returns N1 by N2 by N3 point rules. Monomial exponents: 0 0 0 1 1 1 8.00000 2 2 2 8.00000 3 3 3 8.00000 4 4 4 8.00000 5 5 5 8.00000 3 5 2 8.00000 Exact 8.00000 Monomial exponents: 2 0 0 1 1 1 0.00000 2 2 2 2.66667 3 3 3 2.66667 4 4 4 2.66667 5 5 5 2.66667 3 5 2 2.66667 Exact 2.66667 Monomial exponents: 0 2 0 1 1 1 0.00000 2 2 2 2.66667 3 3 3 2.66667 4 4 4 2.66667 5 5 5 2.66667 3 5 2 2.66667 Exact 2.66667 Monomial exponents: 0 0 2 1 1 1 0.00000 2 2 2 2.66667 3 3 3 2.66667 4 4 4 2.66667 5 5 5 2.66667 3 5 2 2.66667 Exact 2.66667 Monomial exponents: 4 0 0 1 1 1 0.00000 2 2 2 0.888889 3 3 3 1.60000 4 4 4 1.60000 5 5 5 1.60000 3 5 2 1.60000 Exact 1.60000 Monomial exponents: 2 2 0 1 1 1 0.00000 2 2 2 0.888889 3 3 3 0.888889 4 4 4 0.888889 5 5 5 0.888889 3 5 2 0.888889 Exact 0.888889 Monomial exponents: 0 4 0 1 1 1 0.00000 2 2 2 0.888889 3 3 3 1.60000 4 4 4 1.60000 5 5 5 1.60000 3 5 2 1.60000 Exact 1.60000 Monomial exponents: 2 0 2 1 1 1 0.00000 2 2 2 0.888889 3 3 3 0.888889 4 4 4 0.888889 5 5 5 0.888889 3 5 2 0.888889 Exact 0.888889 Monomial exponents: 0 2 2 1 1 1 0.00000 2 2 2 0.888889 3 3 3 0.888889 4 4 4 0.888889 5 5 5 0.888889 3 5 2 0.888889 Exact 0.888889 Monomial exponents: 0 0 4 1 1 1 0.00000 2 2 2 0.888889 3 3 3 1.60000 4 4 4 1.60000 5 5 5 1.60000 3 5 2 0.888889 Exact 1.60000 Monomial exponents: 6 0 0 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.960000 4 4 4 1.14286 5 5 5 1.14286 3 5 2 0.960000 Exact 1.14286 Monomial exponents: 4 2 0 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.533333 4 4 4 0.533333 5 5 5 0.533333 3 5 2 0.533333 Exact 0.533333 Monomial exponents: 2 4 0 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.533333 4 4 4 0.533333 5 5 5 0.533333 3 5 2 0.533333 Exact 0.533333 Monomial exponents: 0 6 0 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.960000 4 4 4 1.14286 5 5 5 1.14286 3 5 2 1.14286 Exact 1.14286 Monomial exponents: 4 0 2 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.533333 4 4 4 0.533333 5 5 5 0.533333 3 5 2 0.533333 Exact 0.533333 Monomial exponents: 2 2 2 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.296296 4 4 4 0.296296 5 5 5 0.296296 3 5 2 0.296296 Exact 0.296296 Monomial exponents: 0 4 2 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.533333 4 4 4 0.533333 5 5 5 0.533333 3 5 2 0.533333 Exact 0.533333 Monomial exponents: 2 0 4 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.533333 4 4 4 0.533333 5 5 5 0.533333 3 5 2 0.296296 Exact 0.533333 Monomial exponents: 0 2 4 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.533333 4 4 4 0.533333 5 5 5 0.533333 3 5 2 0.296296 Exact 0.533333 Monomial exponents: 0 0 6 1 1 1 0.00000 2 2 2 0.296296 3 3 3 0.960000 4 4 4 1.14286 5 5 5 1.14286 3 5 2 0.296296 Exact 1.14286 LINE_UNIT_QUAD_TEST For the unit line, we approximate monomial integrals with: LINE_UNIT_O01, a 1 point rule. LINE_UNIT_O02, a 2 point rule. LINE_UNIT_O03, a 3 point rule. LINE_UNIT_O04, a 4 point rule. LINE_UNIT_O05, a 5 point rule. Monomial exponents: 0 1 2.00000 2 2.00000 3 2.00000 4 2.00000 5 2.00000 Exact 2.00000 Monomial exponents: 2 1 0.00000 2 0.666667 3 0.666667 4 0.666667 5 0.666667 Exact 0.666667 Monomial exponents: 4 1 0.00000 2 0.222222 3 0.400000 4 0.400000 5 0.400000 Exact 0.400000 Monomial exponents: 6 1 0.00000 2 0.740741E-01 3 0.240000 4 0.285714 5 0.285714 Exact 0.285714 Monomial exponents: 8 1 0.00000 2 0.246914E-01 3 0.144000 4 0.210612 5 0.222222 Exact 0.222222 Monomial exponents: 10 1 0.00000 2 0.823045E-02 3 0.864000E-01 4 0.156035 5 0.178886 Exact 0.181818 PYRA_UNIT_QUAD_TEST For the unit pyramid, we approximate monomial integrals with: PYRA_UNIT_O01, PYRA_UNIT_O05, PYRA_UNIT_O06, PYRA_UNIT_O08, PYRA_UNIT_O08b, PYRA_UNIT_O09, PYRA_UNIT_O13, PYRA_UNIT_O18, PYRA_UNIT_O27, PYRA_UNIT_O48. Monomial exponents: 0 0 0 1 1.33333 5 1.33333 6 1.33333 8 1.33333 8 1.45172 9 1.33333 13 1.33333 18 1.33333 27 1.33333 48 1.33333 Exact 1.33333 Monomial exponents: 0 0 1 1 0.333333 5 0.333333 6 0.333333 8 0.333333 8 0.302654 9 0.333333 13 0.333333 18 0.333333 27 0.333333 48 0.333333 Exact 0.333333 Monomial exponents: 2 0 0 1 0.00000 5 0.266667 6 0.266667 8 0.266667 8 0.317135 9 0.266667 13 0.266667 18 0.266667 27 0.266667 48 0.266667 Exact 0.266667 Monomial exponents: 0 2 0 1 0.00000 5 0.266667 6 0.266667 8 0.266667 8 0.317135 9 0.266667 13 0.266667 18 0.266667 27 0.266667 48 0.266667 Exact 0.266667 Monomial exponents: 0 0 2 1 0.833333E-01 5 0.133333 6 0.133333 8 0.133333 8 0.106154 9 0.133333 13 0.133333 18 0.133333 27 0.133333 48 0.133333 Exact 0.133333 Monomial exponents: 2 0 1 1 0.00000 5 0.444444E-01 6 0.444444E-01 8 0.444444E-01 8 0.469792E-01 9 0.444444E-01 13 0.444444E-01 18 0.444444E-01 27 0.444444E-01 48 0.444444E-01 Exact 0.444444E-01 Monomial exponents: 0 2 1 1 0.00000 5 0.444444E-01 6 0.444444E-01 8 0.444444E-01 8 0.469792E-01 9 0.444444E-01 13 0.444444E-01 18 0.444444E-01 27 0.444444E-01 48 0.444444E-01 Exact 0.444444E-01 Monomial exponents: 0 0 3 1 0.208333E-01 5 0.766667E-01 6 0.773148E-01 8 0.666667E-01 8 0.507213E-01 9 0.669312E-01 13 0.666504E-01 18 0.666667E-01 27 0.666667E-01 48 0.666667E-01 Exact 0.666667E-01 Monomial exponents: 4 0 0 1 0.00000 5 0.632099E-01 6 0.634921E-01 8 0.632099E-01 8 0.777846E-01 9 0.634921E-01 13 0.664669E-01 18 0.113778 27 0.114286 48 0.114286 Exact 0.114286 Monomial exponents: 2 2 0 1 0.00000 5 0.632099E-01 6 0.634921E-01 8 0.632099E-01 8 0.777846E-01 9 0.634921E-01 13 0.634921E-01 18 0.632099E-01 27 0.634921E-01 48 0.634921E-01 Exact 0.634921E-01 Monomial exponents: 0 4 0 1 0.00000 5 0.632099E-01 6 0.634921E-01 8 0.632099E-01 8 0.777846E-01 9 0.634921E-01 13 0.664669E-01 18 0.113778 27 0.114286 48 0.114286 Exact 0.114286 Monomial exponents: 2 0 2 1 0.00000 5 0.740741E-02 6 0.740741E-02 8 0.118519E-01 8 0.104830E-01 9 0.126984E-01 13 0.126984E-01 18 0.118519E-01 27 0.126984E-01 48 0.126984E-01 Exact 0.126984E-01 Monomial exponents: 0 2 2 1 0.00000 5 0.740741E-02 6 0.740741E-02 8 0.118519E-01 8 0.104830E-01 9 0.126984E-01 13 0.126984E-01 18 0.118519E-01 27 0.126984E-01 48 0.126984E-01 Exact 0.126984E-01 Monomial exponents: 0 0 4 1 0.520833E-02 5 0.508889E-01 6 0.523148E-01 8 0.355556E-01 8 0.267514E-01 9 0.392038E-01 13 0.379673E-01 18 0.355556E-01 27 0.380952E-01 48 0.380952E-01 Exact 0.380952E-01 Monomial exponents: 4 0 1 1 0.00000 5 0.105350E-01 6 0.105820E-01 8 0.855967E-02 8 0.995664E-02 9 0.793651E-02 13 0.894583E-02 18 0.154074E-01 27 0.142857E-01 48 0.142857E-01 Exact 0.142857E-01 Monomial exponents: 2 2 1 1 0.00000 5 0.105350E-01 6 0.105820E-01 8 0.855967E-02 8 0.995664E-02 9 0.793651E-02 13 0.793651E-02 18 0.855967E-02 27 0.793651E-02 48 0.793651E-02 Exact 0.793651E-02 Monomial exponents: 0 4 1 1 0.00000 5 0.105350E-01 6 0.105820E-01 8 0.855967E-02 8 0.995664E-02 9 0.793651E-02 13 0.894583E-02 18 0.154074E-01 27 0.142857E-01 48 0.142857E-01 Exact 0.142857E-01 Monomial exponents: 2 0 3 1 0.00000 5 0.123457E-02 6 0.123457E-02 8 0.493827E-02 8 0.389044E-02 9 0.466742E-02 13 0.476190E-02 18 0.493827E-02 27 0.476190E-02 48 0.476190E-02 Exact 0.476190E-02 Monomial exponents: 0 2 3 1 0.00000 5 0.123457E-02 6 0.123457E-02 8 0.493827E-02 8 0.389044E-02 9 0.466742E-02 13 0.476190E-02 18 0.493827E-02 27 0.476190E-02 48 0.476190E-02 Exact 0.476190E-02 Monomial exponents: 0 0 5 1 0.130208E-02 5 0.351593E-01 6 0.371881E-01 8 0.192593E-01 8 0.144544E-01 9 0.261261E-01 13 0.238700E-01 18 0.192593E-01 27 0.238095E-01 48 0.238095E-01 Exact 0.238095E-01 QUAD_UNIT_QUAD_TEST For the unit quadrilateral, we approximate monomial integrals with QUAD_UNIT_RULE, which returns M by N point rules. Monomial exponents: 0 0 1 1 4.00000 2 2 4.00000 3 3 4.00000 4 4 4.00000 5 5 4.00000 3 5 4.00000 Exact 4.00000 Monomial exponents: 2 0 1 1 0.00000 2 2 1.33333 3 3 1.33333 4 4 1.33333 5 5 1.33333 3 5 1.33333 Exact 1.33333 Monomial exponents: 0 2 1 1 0.00000 2 2 1.33333 3 3 1.33333 4 4 1.33333 5 5 1.33333 3 5 1.33333 Exact 1.33333 Monomial exponents: 4 0 1 1 0.00000 2 2 0.444444 3 3 0.800000 4 4 0.800000 5 5 0.800000 3 5 0.800000 Exact 0.800000 Monomial exponents: 2 2 1 1 0.00000 2 2 0.444444 3 3 0.444444 4 4 0.444444 5 5 0.444444 3 5 0.444444 Exact 0.444444 Monomial exponents: 0 4 1 1 0.00000 2 2 0.444444 3 3 0.800000 4 4 0.800000 5 5 0.800000 3 5 0.800000 Exact 0.800000 Monomial exponents: 6 0 1 1 0.00000 2 2 0.148148 3 3 0.480000 4 4 0.571429 5 5 0.571429 3 5 0.480000 Exact 0.571429 Monomial exponents: 4 2 1 1 0.00000 2 2 0.148148 3 3 0.266667 4 4 0.266667 5 5 0.266667 3 5 0.266667 Exact 0.266667 Monomial exponents: 2 4 1 1 0.00000 2 2 0.148148 3 3 0.266667 4 4 0.266667 5 5 0.266667 3 5 0.266667 Exact 0.266667 Monomial exponents: 0 6 1 1 0.00000 2 2 0.148148 3 3 0.480000 4 4 0.571429 5 5 0.571429 3 5 0.571429 Exact 0.571429 Monomial exponents: 8 0 1 1 0.00000 2 2 0.493827E-01 3 3 0.288000 4 4 0.421224 5 5 0.444444 3 5 0.288000 Exact 0.444444 Monomial exponents: 6 2 1 1 0.00000 2 2 0.493827E-01 3 3 0.160000 4 4 0.190476 5 5 0.190476 3 5 0.160000 Exact 0.190476 Monomial exponents: 4 4 1 1 0.00000 2 2 0.493827E-01 3 3 0.160000 4 4 0.160000 5 5 0.160000 3 5 0.160000 Exact 0.160000 Monomial exponents: 2 6 1 1 0.00000 2 2 0.493827E-01 3 3 0.160000 4 4 0.190476 5 5 0.190476 3 5 0.190476 Exact 0.190476 Monomial exponents: 0 8 1 1 0.00000 2 2 0.493827E-01 3 3 0.288000 4 4 0.421224 5 5 0.444444 3 5 0.444444 Exact 0.444444 Monomial exponents: 10 0 1 1 0.00000 2 2 0.164609E-01 3 3 0.172800 4 4 0.312070 5 5 0.357773 3 5 0.172800 Exact 0.363636 Monomial exponents: 8 2 1 1 0.00000 2 2 0.164609E-01 3 3 0.960000E-01 4 4 0.140408 5 5 0.148148 3 5 0.960000E-01 Exact 0.148148 Monomial exponents: 6 4 1 1 0.00000 2 2 0.164609E-01 3 3 0.960000E-01 4 4 0.114286 5 5 0.114286 3 5 0.960000E-01 Exact 0.114286 Monomial exponents: 4 6 1 1 0.00000 2 2 0.164609E-01 3 3 0.960000E-01 4 4 0.114286 5 5 0.114286 3 5 0.114286 Exact 0.114286 Monomial exponents: 2 8 1 1 0.00000 2 2 0.164609E-01 3 3 0.960000E-01 4 4 0.140408 5 5 0.148148 3 5 0.148148 Exact 0.148148 Monomial exponents: 0 10 1 1 0.00000 2 2 0.164609E-01 3 3 0.172800 4 4 0.312070 5 5 0.357773 3 5 0.357773 Exact 0.363636 TETR_UNIT_QUAD_TEST For the unit tetrahedron, we approximate monomial integrals with: TETR_UNIT_O01, TETR_UNIT_O04, TETR_UNIT_O08, TETR_UNIT_O08b, TETR_UNIT_O14, TETR_UNIT_O14b, TETR_UNIT_O15, TETR_UNIT_O15b, TETR_UNIT_O24. Monomial exponents: 0 0 0 1 0.166667 4 0.166667 8 0.166667 8 0.166667 14 0.166667 14 0.166667 15 0.166667 15 0.166667 24 0.166667 Exact 0.166667 Monomial exponents: 1 0 0 1 0.416667E-01 4 0.416667E-01 8 0.416667E-01 8 0.416667E-01 14 0.416667E-01 14 0.416667E-01 15 0.416667E-01 15 0.416667E-01 24 0.416667E-01 Exact 0.416667E-01 Monomial exponents: 0 1 0 1 0.416667E-01 4 0.416667E-01 8 0.416667E-01 8 0.416667E-01 14 0.416667E-01 14 0.416667E-01 15 0.416667E-01 15 0.416667E-01 24 0.416667E-01 Exact 0.416667E-01 Monomial exponents: 0 0 1 1 0.416667E-01 4 0.416667E-01 8 0.416667E-01 8 0.416667E-01 14 0.416667E-01 14 0.416667E-01 15 0.416667E-01 15 0.416667E-01 24 0.416667E-01 Exact 0.416667E-01 Monomial exponents: 2 0 0 1 0.104167E-01 4 0.166667E-01 8 0.166667E-01 8 0.166667E-01 14 0.166667E-01 14 0.166667E-01 15 0.166667E-01 15 0.166667E-01 24 0.166667E-01 Exact 0.166667E-01 Monomial exponents: 1 1 0 1 0.104167E-01 4 0.833333E-02 8 0.833333E-02 8 0.833333E-02 14 0.833333E-02 14 0.833333E-02 15 0.833333E-02 15 0.833333E-02 24 0.833333E-02 Exact 0.833333E-02 Monomial exponents: 0 2 0 1 0.104167E-01 4 0.166667E-01 8 0.166667E-01 8 0.166667E-01 14 0.166667E-01 14 0.166667E-01 15 0.166667E-01 15 0.166667E-01 24 0.166667E-01 Exact 0.166667E-01 Monomial exponents: 1 0 1 1 0.104167E-01 4 0.833333E-02 8 0.833333E-02 8 0.833333E-02 14 0.833333E-02 14 0.833333E-02 15 0.833333E-02 15 0.833333E-02 24 0.833333E-02 Exact 0.833333E-02 Monomial exponents: 0 1 1 1 0.104167E-01 4 0.833333E-02 8 0.833333E-02 8 0.833333E-02 14 0.833333E-02 14 0.833333E-02 15 0.833333E-02 15 0.833333E-02 24 0.833333E-02 Exact 0.833333E-02 Monomial exponents: 0 0 2 1 0.104167E-01 4 0.166667E-01 8 0.166667E-01 8 0.166667E-01 14 0.166667E-01 14 0.166667E-01 15 0.166667E-01 15 0.166667E-01 24 0.166667E-01 Exact 0.166667E-01 Monomial exponents: 3 0 0 1 0.260417E-02 4 0.868921E-02 8 0.833333E-02 8 0.833333E-02 14 0.833333E-02 14 0.833333E-02 15 0.833333E-02 15 0.833333E-02 24 0.833333E-02 Exact 0.833333E-02 Monomial exponents: 2 1 0 1 0.260417E-02 4 0.265915E-02 8 0.277778E-02 8 0.277778E-02 14 0.277778E-02 14 0.277778E-02 15 0.277778E-02 15 0.277778E-02 24 0.277778E-02 Exact 0.277778E-02 Monomial exponents: 1 2 0 1 0.260417E-02 4 0.265915E-02 8 0.277778E-02 8 0.277778E-02 14 0.277778E-02 14 0.277778E-02 15 0.277778E-02 15 0.277778E-02 24 0.277778E-02 Exact 0.277778E-02 Monomial exponents: 0 3 0 1 0.260417E-02 4 0.868921E-02 8 0.833333E-02 8 0.833333E-02 14 0.833333E-02 14 0.833333E-02 15 0.833333E-02 15 0.833333E-02 24 0.833333E-02 Exact 0.833333E-02 Monomial exponents: 2 0 1 1 0.260417E-02 4 0.265915E-02 8 0.277778E-02 8 0.277778E-02 14 0.277778E-02 14 0.277778E-02 15 0.277778E-02 15 0.277778E-02 24 0.277778E-02 Exact 0.277778E-02 Monomial exponents: 1 1 1 1 0.260417E-02 4 0.150751E-02 8 0.138889E-02 8 0.138889E-02 14 0.138889E-02 14 0.138889E-02 15 0.138889E-02 15 0.138889E-02 24 0.138889E-02 Exact 0.138889E-02 Monomial exponents: 0 2 1 1 0.260417E-02 4 0.265915E-02 8 0.277778E-02 8 0.277778E-02 14 0.277778E-02 14 0.277778E-02 15 0.277778E-02 15 0.277778E-02 24 0.277778E-02 Exact 0.277778E-02 Monomial exponents: 1 0 2 1 0.260417E-02 4 0.265915E-02 8 0.277778E-02 8 0.277778E-02 14 0.277778E-02 14 0.277778E-02 15 0.277778E-02 15 0.277778E-02 24 0.277778E-02 Exact 0.277778E-02 Monomial exponents: 0 1 2 1 0.260417E-02 4 0.265915E-02 8 0.277778E-02 8 0.277778E-02 14 0.277778E-02 14 0.277778E-02 15 0.277778E-02 15 0.277778E-02 24 0.277778E-02 Exact 0.277778E-02 Monomial exponents: 0 0 3 1 0.260417E-02 4 0.868921E-02 8 0.833333E-02 8 0.833333E-02 14 0.833333E-02 14 0.833333E-02 15 0.833333E-02 15 0.833333E-02 24 0.833333E-02 Exact 0.833333E-02 Monomial exponents: 4 0 0 1 0.651042E-03 4 0.493921E-02 8 0.476190E-02 8 0.555556E-02 14 0.476190E-02 14 0.476190E-02 15 0.476190E-02 15 0.476190E-02 24 0.476190E-02 Exact 0.476190E-02 Monomial exponents: 3 1 0 1 0.651042E-03 4 0.125000E-02 8 0.119048E-02 8 0.925926E-03 14 0.119048E-02 14 0.119048E-02 15 0.119048E-02 15 0.119048E-02 24 0.119048E-02 Exact 0.119048E-02 Monomial exponents: 2 2 0 1 0.651042E-03 4 0.575819E-03 8 0.736961E-03 8 0.925926E-03 14 0.793651E-03 14 0.793651E-03 15 0.793651E-03 15 0.793651E-03 24 0.793651E-03 Exact 0.793651E-03 Monomial exponents: 1 3 0 1 0.651042E-03 4 0.125000E-02 8 0.119048E-02 8 0.925926E-03 14 0.119048E-02 14 0.119048E-02 15 0.119048E-02 15 0.119048E-02 24 0.119048E-02 Exact 0.119048E-02 Monomial exponents: 0 4 0 1 0.651042E-03 4 0.493921E-02 8 0.476190E-02 8 0.555556E-02 14 0.476190E-02 14 0.476190E-02 15 0.476190E-02 15 0.476190E-02 24 0.476190E-02 Exact 0.476190E-02 Monomial exponents: 3 0 1 1 0.651042E-03 4 0.125000E-02 8 0.119048E-02 8 0.925926E-03 14 0.119048E-02 14 0.119048E-02 15 0.119048E-02 15 0.119048E-02 24 0.119048E-02 Exact 0.119048E-02 Monomial exponents: 2 1 1 1 0.651042E-03 4 0.416667E-03 8 0.425170E-03 8 0.462963E-03 14 0.396825E-03 14 0.396825E-03 15 0.396825E-03 15 0.396825E-03 24 0.396825E-03 Exact 0.396825E-03 Monomial exponents: 1 2 1 1 0.651042E-03 4 0.416667E-03 8 0.425170E-03 8 0.462963E-03 14 0.396825E-03 14 0.396825E-03 15 0.396825E-03 15 0.396825E-03 24 0.396825E-03 Exact 0.396825E-03 Monomial exponents: 0 3 1 1 0.651042E-03 4 0.125000E-02 8 0.119048E-02 8 0.925926E-03 14 0.119048E-02 14 0.119048E-02 15 0.119048E-02 15 0.119048E-02 24 0.119048E-02 Exact 0.119048E-02 Monomial exponents: 2 0 2 1 0.651042E-03 4 0.575819E-03 8 0.736961E-03 8 0.925926E-03 14 0.793651E-03 14 0.793651E-03 15 0.793651E-03 15 0.793651E-03 24 0.793651E-03 Exact 0.793651E-03 Monomial exponents: 1 1 2 1 0.651042E-03 4 0.416667E-03 8 0.425170E-03 8 0.462963E-03 14 0.396825E-03 14 0.396825E-03 15 0.396825E-03 15 0.396825E-03 24 0.396825E-03 Exact 0.396825E-03 Monomial exponents: 0 2 2 1 0.651042E-03 4 0.575819E-03 8 0.736961E-03 8 0.925926E-03 14 0.793651E-03 14 0.793651E-03 15 0.793651E-03 15 0.793651E-03 24 0.793651E-03 Exact 0.793651E-03 Monomial exponents: 1 0 3 1 0.651042E-03 4 0.125000E-02 8 0.119048E-02 8 0.925926E-03 14 0.119048E-02 14 0.119048E-02 15 0.119048E-02 15 0.119048E-02 24 0.119048E-02 Exact 0.119048E-02 Monomial exponents: 0 1 3 1 0.651042E-03 4 0.125000E-02 8 0.119048E-02 8 0.925926E-03 14 0.119048E-02 14 0.119048E-02 15 0.119048E-02 15 0.119048E-02 24 0.119048E-02 Exact 0.119048E-02 Monomial exponents: 0 0 4 1 0.651042E-03 4 0.493921E-02 8 0.476190E-02 8 0.555556E-02 14 0.476190E-02 14 0.476190E-02 15 0.476190E-02 15 0.476190E-02 24 0.476190E-02 Exact 0.476190E-02 TRIG_UNIT_QUAD_TEST For the unit triangle, we approximate monomial integrals with: TRIG_UNIT_O01, TRIG_UNIT_O03, TRIG_UNIT_O03b, TRIG_UNIT_O06, TRIG_UNIT_O06b, TRIG_UNIT_O07, TRIG_UNIT_O012, Monomial exponents: 0 0 1 0.500000 3 0.500000 3 0.500000 6 0.500000 6 0.500000 7 0.500000 12 0.500000 Exact 0.500000 Monomial exponents: 1 0 1 0.166667 3 0.166667 3 0.166667 6 0.166667 6 0.166667 7 0.166667 12 0.166667 Exact 0.166667 Monomial exponents: 0 1 1 0.166667 3 0.166667 3 0.166667 6 0.166667 6 0.166667 7 0.166667 12 0.166667 Exact 0.166667 Monomial exponents: 2 0 1 0.555556E-01 3 0.833333E-01 3 0.833333E-01 6 0.833333E-01 6 0.833333E-01 7 0.833333E-01 12 0.833333E-01 Exact 0.833333E-01 Monomial exponents: 1 1 1 0.555556E-01 3 0.416667E-01 3 0.416667E-01 6 0.416667E-01 6 0.416667E-01 7 0.416667E-01 12 0.416667E-01 Exact 0.416667E-01 Monomial exponents: 0 2 1 0.555556E-01 3 0.833333E-01 3 0.833333E-01 6 0.833333E-01 6 0.833333E-01 7 0.833333E-01 12 0.833333E-01 Exact 0.833333E-01 Monomial exponents: 3 0 1 0.185185E-01 3 0.509259E-01 3 0.416667E-01 6 0.500000E-01 6 0.500000E-01 7 0.500000E-01 12 0.500000E-01 Exact 0.500000E-01 Monomial exponents: 2 1 1 0.185185E-01 3 0.162037E-01 3 0.208333E-01 6 0.166667E-01 6 0.166667E-01 7 0.166667E-01 12 0.166667E-01 Exact 0.166667E-01 Monomial exponents: 1 2 1 0.185185E-01 3 0.162037E-01 3 0.208333E-01 6 0.166667E-01 6 0.166667E-01 7 0.166667E-01 12 0.166667E-01 Exact 0.166667E-01 Monomial exponents: 0 3 1 0.185185E-01 3 0.509259E-01 3 0.416667E-01 6 0.500000E-01 6 0.500000E-01 7 0.500000E-01 12 0.500000E-01 Exact 0.500000E-01 Monomial exponents: 4 0 1 0.617284E-02 3 0.331790E-01 3 0.208333E-01 6 0.333333E-01 6 0.319444E-01 7 0.333333E-01 12 0.333333E-01 Exact 0.333333E-01 Monomial exponents: 3 1 1 0.617284E-02 3 0.887346E-02 3 0.104167E-01 6 0.833333E-02 6 0.902778E-02 7 0.833333E-02 12 0.833333E-02 Exact 0.833333E-02 Monomial exponents: 2 2 1 0.617284E-02 3 0.424383E-02 3 0.104167E-01 6 0.555556E-02 6 0.486111E-02 7 0.555556E-02 12 0.555556E-02 Exact 0.555556E-02 Monomial exponents: 1 3 1 0.617284E-02 3 0.887346E-02 3 0.104167E-01 6 0.833333E-02 6 0.902778E-02 7 0.833333E-02 12 0.833333E-02 Exact 0.833333E-02 Monomial exponents: 0 4 1 0.617284E-02 3 0.331790E-01 3 0.208333E-01 6 0.333333E-01 6 0.319444E-01 7 0.333333E-01 12 0.333333E-01 Exact 0.333333E-01 Monomial exponents: 5 0 1 0.205761E-02 3 0.219907E-01 3 0.104167E-01 6 0.239351E-01 6 0.208333E-01 7 0.238095E-01 12 0.238095E-01 Exact 0.238095E-01 Monomial exponents: 4 1 1 0.205761E-02 3 0.559414E-02 3 0.520833E-02 6 0.469912E-02 6 0.555556E-02 7 0.476190E-02 12 0.476190E-02 Exact 0.476190E-02 Monomial exponents: 3 2 1 0.205761E-02 3 0.173611E-02 3 0.520833E-02 6 0.239351E-02 6 0.208333E-02 7 0.238095E-02 12 0.238095E-02 Exact 0.238095E-02 Monomial exponents: 2 3 1 0.205761E-02 3 0.173611E-02 3 0.520833E-02 6 0.239351E-02 6 0.208333E-02 7 0.238095E-02 12 0.238095E-02 Exact 0.238095E-02 Monomial exponents: 1 4 1 0.205761E-02 3 0.559414E-02 3 0.520833E-02 6 0.469912E-02 6 0.555556E-02 7 0.476190E-02 12 0.476190E-02 Exact 0.476190E-02 Monomial exponents: 0 5 1 0.205761E-02 3 0.219907E-01 3 0.104167E-01 6 0.239351E-01 6 0.208333E-01 7 0.238095E-01 12 0.238095E-01 Exact 0.238095E-01 Monomial exponents: 6 0 1 0.685871E-03 3 0.146391E-01 3 0.520833E-02 6 0.180884E-01 6 0.136960E-01 7 0.177753E-01 12 0.178571E-01 Exact 0.178571E-01 Monomial exponents: 5 1 1 0.685871E-03 3 0.367584E-02 3 0.260417E-02 6 0.292335E-02 6 0.356867E-02 7 0.301713E-02 12 0.297619E-02 Exact 0.297619E-02 Monomial exponents: 4 2 1 0.685871E-03 3 0.975223E-03 3 0.260417E-02 6 0.114099E-02 6 0.113812E-02 7 0.114638E-02 12 0.119048E-02 Exact 0.119048E-02 Monomial exponents: 3 3 1 0.685871E-03 3 0.460820E-03 3 0.260417E-02 6 0.949550E-03 6 0.675154E-03 7 0.938524E-03 12 0.892857E-03 Exact 0.892857E-03 Monomial exponents: 2 4 1 0.685871E-03 3 0.975223E-03 3 0.260417E-02 6 0.114099E-02 6 0.113812E-02 7 0.114638E-02 12 0.119048E-02 Exact 0.119048E-02 Monomial exponents: 1 5 1 0.685871E-03 3 0.367584E-02 3 0.260417E-02 6 0.292335E-02 6 0.356867E-02 7 0.301713E-02 12 0.297619E-02 Exact 0.297619E-02 Monomial exponents: 0 6 1 0.685871E-03 3 0.146391E-01 3 0.520833E-02 6 0.180884E-01 6 0.136960E-01 7 0.177753E-01 12 0.178571E-01 Exact 0.178571E-01 Monomial exponents: 7 0 1 0.228624E-03 3 0.975580E-02 3 0.260417E-02 6 0.141236E-01 6 0.904064E-02 7 0.136348E-01 12 0.138916E-01 Exact 0.138889E-01 Monomial exponents: 6 1 1 0.228624E-03 3 0.244163E-02 3 0.130208E-02 6 0.198238E-02 6 0.232767E-02 7 0.207021E-02 12 0.198275E-02 Exact 0.198413E-02 Monomial exponents: 5 2 1 0.228624E-03 3 0.619785E-03 3 0.130208E-02 6 0.583004E-03 6 0.688014E-03 7 0.601687E-03 12 0.661965E-03 Exact 0.661376E-03 Monomial exponents: 4 3 1 0.228624E-03 3 0.191115E-03 3 0.130208E-02 6 0.419591E-03 6 0.302212E-03 7 0.418121E-03 12 0.396629E-03 Exact 0.396825E-03 Monomial exponents: 3 4 1 0.228624E-03 3 0.191115E-03 3 0.130208E-02 6 0.419591E-03 6 0.302212E-03 7 0.418121E-03 12 0.396629E-03 Exact 0.396825E-03 Monomial exponents: 2 5 1 0.228624E-03 3 0.619785E-03 3 0.130208E-02 6 0.583004E-03 6 0.688014E-03 7 0.601687E-03 12 0.661965E-03 Exact 0.661376E-03 Monomial exponents: 1 6 1 0.228624E-03 3 0.244163E-02 3 0.130208E-02 6 0.198238E-02 6 0.232767E-02 7 0.207021E-02 12 0.198275E-02 Exact 0.198413E-02 Monomial exponents: 0 7 1 0.228624E-03 3 0.975580E-02 3 0.260417E-02 6 0.141236E-01 6 0.904064E-02 7 0.136348E-01 12 0.138916E-01 Exact 0.138889E-01 WEDG_UNIT_QUAD_TEST For the unit wedge, we approximate monomial integrals with WEDG_UNIT_RULE. Monomial exponents: 0 0 0 1 1 1 1.00000 3 2 6 1.00000 -3 2 6 1.00000 6 3 18 1.00000 -6 2 12 1.00000 7 3 21 1.00000 12 4 48 1.00000 Exact 1.00000 Monomial exponents: 1 0 0 1 1 1 0.333333 3 2 6 0.333333 -3 2 6 0.333333 6 3 18 0.333333 -6 2 12 0.333333 7 3 21 0.333333 12 4 48 0.333333 Exact 0.333333 Monomial exponents: 0 1 0 1 1 1 0.333333 3 2 6 0.333333 -3 2 6 0.333333 6 3 18 0.333333 -6 2 12 0.333333 7 3 21 0.333333 12 4 48 0.333333 Exact 0.333333 Monomial exponents: 2 0 0 1 1 1 0.111111 3 2 6 0.166667 -3 2 6 0.166667 6 3 18 0.166667 -6 2 12 0.166667 7 3 21 0.166667 12 4 48 0.166667 Exact 0.166667 Monomial exponents: 1 1 0 1 1 1 0.111111 3 2 6 0.833333E-01 -3 2 6 0.833333E-01 6 3 18 0.833333E-01 -6 2 12 0.833333E-01 7 3 21 0.833333E-01 12 4 48 0.833333E-01 Exact 0.833333E-01 Monomial exponents: 0 2 0 1 1 1 0.111111 3 2 6 0.166667 -3 2 6 0.166667 6 3 18 0.166667 -6 2 12 0.166667 7 3 21 0.166667 12 4 48 0.166667 Exact 0.166667 Monomial exponents: 0 0 2 1 1 1 0.00000 3 2 6 0.333333 -3 2 6 0.333333 6 3 18 0.333333 -6 2 12 0.333333 7 3 21 0.333333 12 4 48 0.333333 Exact 0.333333 Monomial exponents: 3 0 0 1 1 1 0.370370E-01 3 2 6 0.101852 -3 2 6 0.833333E-01 6 3 18 0.100000 -6 2 12 0.100000 7 3 21 0.100000 12 4 48 0.100000 Exact 0.100000 Monomial exponents: 2 1 0 1 1 1 0.370370E-01 3 2 6 0.324074E-01 -3 2 6 0.416667E-01 6 3 18 0.333333E-01 -6 2 12 0.333333E-01 7 3 21 0.333333E-01 12 4 48 0.333333E-01 Exact 0.333333E-01 Monomial exponents: 1 2 0 1 1 1 0.370370E-01 3 2 6 0.324074E-01 -3 2 6 0.416667E-01 6 3 18 0.333333E-01 -6 2 12 0.333333E-01 7 3 21 0.333333E-01 12 4 48 0.333333E-01 Exact 0.333333E-01 Monomial exponents: 0 3 0 1 1 1 0.370370E-01 3 2 6 0.101852 -3 2 6 0.833333E-01 6 3 18 0.100000 -6 2 12 0.100000 7 3 21 0.100000 12 4 48 0.100000 Exact 0.100000 Monomial exponents: 1 0 2 1 1 1 0.00000 3 2 6 0.111111 -3 2 6 0.111111 6 3 18 0.111111 -6 2 12 0.111111 7 3 21 0.111111 12 4 48 0.111111 Exact 0.111111 Monomial exponents: 0 1 2 1 1 1 0.00000 3 2 6 0.111111 -3 2 6 0.111111 6 3 18 0.111111 -6 2 12 0.111111 7 3 21 0.111111 12 4 48 0.111111 Exact 0.111111 Monomial exponents: 4 0 0 1 1 1 0.123457E-01 3 2 6 0.663580E-01 -3 2 6 0.416667E-01 6 3 18 0.666667E-01 -6 2 12 0.638889E-01 7 3 21 0.666667E-01 12 4 48 0.666667E-01 Exact 0.666667E-01 Monomial exponents: 3 1 0 1 1 1 0.123457E-01 3 2 6 0.177469E-01 -3 2 6 0.208333E-01 6 3 18 0.166667E-01 -6 2 12 0.180556E-01 7 3 21 0.166667E-01 12 4 48 0.166667E-01 Exact 0.166667E-01 Monomial exponents: 2 2 0 1 1 1 0.123457E-01 3 2 6 0.848765E-02 -3 2 6 0.208333E-01 6 3 18 0.111111E-01 -6 2 12 0.972222E-02 7 3 21 0.111111E-01 12 4 48 0.111111E-01 Exact 0.111111E-01 Monomial exponents: 1 3 0 1 1 1 0.123457E-01 3 2 6 0.177469E-01 -3 2 6 0.208333E-01 6 3 18 0.166667E-01 -6 2 12 0.180556E-01 7 3 21 0.166667E-01 12 4 48 0.166667E-01 Exact 0.166667E-01 Monomial exponents: 0 4 0 1 1 1 0.123457E-01 3 2 6 0.663580E-01 -3 2 6 0.416667E-01 6 3 18 0.666667E-01 -6 2 12 0.638889E-01 7 3 21 0.666667E-01 12 4 48 0.666667E-01 Exact 0.666667E-01 Monomial exponents: 2 0 2 1 1 1 0.00000 3 2 6 0.555556E-01 -3 2 6 0.555556E-01 6 3 18 0.555556E-01 -6 2 12 0.555556E-01 7 3 21 0.555556E-01 12 4 48 0.555556E-01 Exact 0.555556E-01 Monomial exponents: 1 1 2 1 1 1 0.00000 3 2 6 0.277778E-01 -3 2 6 0.277778E-01 6 3 18 0.277778E-01 -6 2 12 0.277778E-01 7 3 21 0.277778E-01 12 4 48 0.277778E-01 Exact 0.277778E-01 Monomial exponents: 0 2 2 1 1 1 0.00000 3 2 6 0.555556E-01 -3 2 6 0.555556E-01 6 3 18 0.555556E-01 -6 2 12 0.555556E-01 7 3 21 0.555556E-01 12 4 48 0.555556E-01 Exact 0.555556E-01 Monomial exponents: 0 0 4 1 1 1 0.00000 3 2 6 0.111111 -3 2 6 0.111111 6 3 18 0.200000 -6 2 12 0.111111 7 3 21 0.200000 12 4 48 0.200000 Exact 0.200000 Monomial exponents: 5 0 0 1 1 1 0.411523E-02 3 2 6 0.439815E-01 -3 2 6 0.208333E-01 6 3 18 0.478702E-01 -6 2 12 0.416667E-01 7 3 21 0.476190E-01 12 4 48 0.476190E-01 Exact 0.476190E-01 Monomial exponents: 4 1 0 1 1 1 0.411523E-02 3 2 6 0.111883E-01 -3 2 6 0.104167E-01 6 3 18 0.939824E-02 -6 2 12 0.111111E-01 7 3 21 0.952381E-02 12 4 48 0.952381E-02 Exact 0.952381E-02 Monomial exponents: 3 2 0 1 1 1 0.411523E-02 3 2 6 0.347222E-02 -3 2 6 0.104167E-01 6 3 18 0.478702E-02 -6 2 12 0.416667E-02 7 3 21 0.476190E-02 12 4 48 0.476190E-02 Exact 0.476190E-02 Monomial exponents: 2 3 0 1 1 1 0.411523E-02 3 2 6 0.347222E-02 -3 2 6 0.104167E-01 6 3 18 0.478702E-02 -6 2 12 0.416667E-02 7 3 21 0.476190E-02 12 4 48 0.476190E-02 Exact 0.476190E-02 Monomial exponents: 1 4 0 1 1 1 0.411523E-02 3 2 6 0.111883E-01 -3 2 6 0.104167E-01 6 3 18 0.939824E-02 -6 2 12 0.111111E-01 7 3 21 0.952381E-02 12 4 48 0.952381E-02 Exact 0.952381E-02 Monomial exponents: 0 5 0 1 1 1 0.411523E-02 3 2 6 0.439815E-01 -3 2 6 0.208333E-01 6 3 18 0.478702E-01 -6 2 12 0.416667E-01 7 3 21 0.476190E-01 12 4 48 0.476190E-01 Exact 0.476190E-01 Monomial exponents: 3 0 2 1 1 1 0.00000 3 2 6 0.339506E-01 -3 2 6 0.277778E-01 6 3 18 0.333333E-01 -6 2 12 0.333333E-01 7 3 21 0.333333E-01 12 4 48 0.333333E-01 Exact 0.333333E-01 Monomial exponents: 2 1 2 1 1 1 0.00000 3 2 6 0.108025E-01 -3 2 6 0.138889E-01 6 3 18 0.111111E-01 -6 2 12 0.111111E-01 7 3 21 0.111111E-01 12 4 48 0.111111E-01 Exact 0.111111E-01 Monomial exponents: 1 2 2 1 1 1 0.00000 3 2 6 0.108025E-01 -3 2 6 0.138889E-01 6 3 18 0.111111E-01 -6 2 12 0.111111E-01 7 3 21 0.111111E-01 12 4 48 0.111111E-01 Exact 0.111111E-01 Monomial exponents: 0 3 2 1 1 1 0.00000 3 2 6 0.339506E-01 -3 2 6 0.277778E-01 6 3 18 0.333333E-01 -6 2 12 0.333333E-01 7 3 21 0.333333E-01 12 4 48 0.333333E-01 Exact 0.333333E-01 Monomial exponents: 1 0 4 1 1 1 0.00000 3 2 6 0.370370E-01 -3 2 6 0.370370E-01 6 3 18 0.666667E-01 -6 2 12 0.370370E-01 7 3 21 0.666667E-01 12 4 48 0.666667E-01 Exact 0.666667E-01 Monomial exponents: 0 1 4 1 1 1 0.00000 3 2 6 0.370370E-01 -3 2 6 0.370370E-01 6 3 18 0.666667E-01 -6 2 12 0.370370E-01 7 3 21 0.666667E-01 12 4 48 0.666667E-01 Exact 0.666667E-01 Monomial exponents: 6 0 0 1 1 1 0.137174E-02 3 2 6 0.292781E-01 -3 2 6 0.104167E-01 6 3 18 0.361768E-01 -6 2 12 0.273920E-01 7 3 21 0.355505E-01 12 4 48 0.357143E-01 Exact 0.357143E-01 Monomial exponents: 5 1 0 1 1 1 0.137174E-02 3 2 6 0.735168E-02 -3 2 6 0.520833E-02 6 3 18 0.584671E-02 -6 2 12 0.713735E-02 7 3 21 0.603427E-02 12 4 48 0.595238E-02 Exact 0.595238E-02 Monomial exponents: 4 2 0 1 1 1 0.137174E-02 3 2 6 0.195045E-02 -3 2 6 0.520833E-02 6 3 18 0.228199E-02 -6 2 12 0.227623E-02 7 3 21 0.229277E-02 12 4 48 0.238095E-02 Exact 0.238095E-02 Monomial exponents: 3 3 0 1 1 1 0.137174E-02 3 2 6 0.921639E-03 -3 2 6 0.520833E-02 6 3 18 0.189910E-02 -6 2 12 0.135031E-02 7 3 21 0.187705E-02 12 4 48 0.178571E-02 Exact 0.178571E-02 Monomial exponents: 2 4 0 1 1 1 0.137174E-02 3 2 6 0.195045E-02 -3 2 6 0.520833E-02 6 3 18 0.228199E-02 -6 2 12 0.227623E-02 7 3 21 0.229277E-02 12 4 48 0.238095E-02 Exact 0.238095E-02 Monomial exponents: 1 5 0 1 1 1 0.137174E-02 3 2 6 0.735168E-02 -3 2 6 0.520833E-02 6 3 18 0.584671E-02 -6 2 12 0.713735E-02 7 3 21 0.603427E-02 12 4 48 0.595238E-02 Exact 0.595238E-02 Monomial exponents: 0 6 0 1 1 1 0.137174E-02 3 2 6 0.292781E-01 -3 2 6 0.104167E-01 6 3 18 0.361768E-01 -6 2 12 0.273920E-01 7 3 21 0.355505E-01 12 4 48 0.357143E-01 Exact 0.357143E-01 Monomial exponents: 4 0 2 1 1 1 0.00000 3 2 6 0.221193E-01 -3 2 6 0.138889E-01 6 3 18 0.222222E-01 -6 2 12 0.212963E-01 7 3 21 0.222222E-01 12 4 48 0.222222E-01 Exact 0.222222E-01 Monomial exponents: 3 1 2 1 1 1 0.00000 3 2 6 0.591564E-02 -3 2 6 0.694444E-02 6 3 18 0.555556E-02 -6 2 12 0.601852E-02 7 3 21 0.555556E-02 12 4 48 0.555556E-02 Exact 0.555556E-02 Monomial exponents: 2 2 2 1 1 1 0.00000 3 2 6 0.282922E-02 -3 2 6 0.694444E-02 6 3 18 0.370370E-02 -6 2 12 0.324074E-02 7 3 21 0.370370E-02 12 4 48 0.370370E-02 Exact 0.370370E-02 Monomial exponents: 1 3 2 1 1 1 0.00000 3 2 6 0.591564E-02 -3 2 6 0.694444E-02 6 3 18 0.555556E-02 -6 2 12 0.601852E-02 7 3 21 0.555556E-02 12 4 48 0.555556E-02 Exact 0.555556E-02 Monomial exponents: 0 4 2 1 1 1 0.00000 3 2 6 0.221193E-01 -3 2 6 0.138889E-01 6 3 18 0.222222E-01 -6 2 12 0.212963E-01 7 3 21 0.222222E-01 12 4 48 0.222222E-01 Exact 0.222222E-01 Monomial exponents: 2 0 4 1 1 1 0.00000 3 2 6 0.185185E-01 -3 2 6 0.185185E-01 6 3 18 0.333333E-01 -6 2 12 0.185185E-01 7 3 21 0.333333E-01 12 4 48 0.333333E-01 Exact 0.333333E-01 Monomial exponents: 1 1 4 1 1 1 0.00000 3 2 6 0.925926E-02 -3 2 6 0.925926E-02 6 3 18 0.166667E-01 -6 2 12 0.925926E-02 7 3 21 0.166667E-01 12 4 48 0.166667E-01 Exact 0.166667E-01 Monomial exponents: 0 2 4 1 1 1 0.00000 3 2 6 0.185185E-01 -3 2 6 0.185185E-01 6 3 18 0.333333E-01 -6 2 12 0.185185E-01 7 3 21 0.333333E-01 12 4 48 0.333333E-01 Exact 0.333333E-01 Monomial exponents: 0 0 6 1 1 1 0.00000 3 2 6 0.370370E-01 -3 2 6 0.370370E-01 6 3 18 0.120000 -6 2 12 0.370370E-01 7 3 21 0.120000 12 4 48 0.142857 Exact 0.142857 Monomial exponents: 7 0 0 1 1 1 0.457247E-03 3 2 6 0.195116E-01 -3 2 6 0.520833E-02 6 3 18 0.282473E-01 -6 2 12 0.180813E-01 7 3 21 0.272697E-01 12 4 48 0.277833E-01 Exact 0.277778E-01 Monomial exponents: 6 1 0 1 1 1 0.457247E-03 3 2 6 0.488326E-02 -3 2 6 0.260417E-02 6 3 18 0.396475E-02 -6 2 12 0.465535E-02 7 3 21 0.414042E-02 12 4 48 0.396550E-02 Exact 0.396825E-02 Monomial exponents: 5 2 0 1 1 1 0.457247E-03 3 2 6 0.123957E-02 -3 2 6 0.260417E-02 6 3 18 0.116601E-02 -6 2 12 0.137603E-02 7 3 21 0.120337E-02 12 4 48 0.132393E-02 Exact 0.132275E-02 Monomial exponents: 4 3 0 1 1 1 0.457247E-03 3 2 6 0.382230E-03 -3 2 6 0.260417E-02 6 3 18 0.839183E-03 -6 2 12 0.604424E-03 7 3 21 0.836243E-03 12 4 48 0.793258E-03 Exact 0.793651E-03 Monomial exponents: 3 4 0 1 1 1 0.457247E-03 3 2 6 0.382230E-03 -3 2 6 0.260417E-02 6 3 18 0.839183E-03 -6 2 12 0.604424E-03 7 3 21 0.836243E-03 12 4 48 0.793258E-03 Exact 0.793651E-03 Monomial exponents: 2 5 0 1 1 1 0.457247E-03 3 2 6 0.123957E-02 -3 2 6 0.260417E-02 6 3 18 0.116601E-02 -6 2 12 0.137603E-02 7 3 21 0.120337E-02 12 4 48 0.132393E-02 Exact 0.132275E-02 Monomial exponents: 1 6 0 1 1 1 0.457247E-03 3 2 6 0.488326E-02 -3 2 6 0.260417E-02 6 3 18 0.396475E-02 -6 2 12 0.465535E-02 7 3 21 0.414042E-02 12 4 48 0.396550E-02 Exact 0.396825E-02 Monomial exponents: 0 7 0 1 1 1 0.457247E-03 3 2 6 0.195116E-01 -3 2 6 0.520833E-02 6 3 18 0.282473E-01 -6 2 12 0.180813E-01 7 3 21 0.272697E-01 12 4 48 0.277833E-01 Exact 0.277778E-01 Monomial exponents: 5 0 2 1 1 1 0.00000 3 2 6 0.146605E-01 -3 2 6 0.694444E-02 6 3 18 0.159567E-01 -6 2 12 0.138889E-01 7 3 21 0.158730E-01 12 4 48 0.158730E-01 Exact 0.158730E-01 Monomial exponents: 4 1 2 1 1 1 0.00000 3 2 6 0.372942E-02 -3 2 6 0.347222E-02 6 3 18 0.313275E-02 -6 2 12 0.370370E-02 7 3 21 0.317460E-02 12 4 48 0.317460E-02 Exact 0.317460E-02 Monomial exponents: 3 2 2 1 1 1 0.00000 3 2 6 0.115741E-02 -3 2 6 0.347222E-02 6 3 18 0.159567E-02 -6 2 12 0.138889E-02 7 3 21 0.158730E-02 12 4 48 0.158730E-02 Exact 0.158730E-02 Monomial exponents: 2 3 2 1 1 1 0.00000 3 2 6 0.115741E-02 -3 2 6 0.347222E-02 6 3 18 0.159567E-02 -6 2 12 0.138889E-02 7 3 21 0.158730E-02 12 4 48 0.158730E-02 Exact 0.158730E-02 Monomial exponents: 1 4 2 1 1 1 0.00000 3 2 6 0.372942E-02 -3 2 6 0.347222E-02 6 3 18 0.313275E-02 -6 2 12 0.370370E-02 7 3 21 0.317460E-02 12 4 48 0.317460E-02 Exact 0.317460E-02 Monomial exponents: 0 5 2 1 1 1 0.00000 3 2 6 0.146605E-01 -3 2 6 0.694444E-02 6 3 18 0.159567E-01 -6 2 12 0.138889E-01 7 3 21 0.158730E-01 12 4 48 0.158730E-01 Exact 0.158730E-01 Monomial exponents: 3 0 4 1 1 1 0.00000 3 2 6 0.113169E-01 -3 2 6 0.925926E-02 6 3 18 0.200000E-01 -6 2 12 0.111111E-01 7 3 21 0.200000E-01 12 4 48 0.200000E-01 Exact 0.200000E-01 Monomial exponents: 2 1 4 1 1 1 0.00000 3 2 6 0.360082E-02 -3 2 6 0.462963E-02 6 3 18 0.666667E-02 -6 2 12 0.370370E-02 7 3 21 0.666667E-02 12 4 48 0.666667E-02 Exact 0.666667E-02 Monomial exponents: 1 2 4 1 1 1 0.00000 3 2 6 0.360082E-02 -3 2 6 0.462963E-02 6 3 18 0.666667E-02 -6 2 12 0.370370E-02 7 3 21 0.666667E-02 12 4 48 0.666667E-02 Exact 0.666667E-02 Monomial exponents: 0 3 4 1 1 1 0.00000 3 2 6 0.113169E-01 -3 2 6 0.925926E-02 6 3 18 0.200000E-01 -6 2 12 0.111111E-01 7 3 21 0.200000E-01 12 4 48 0.200000E-01 Exact 0.200000E-01 Monomial exponents: 1 0 6 1 1 1 0.00000 3 2 6 0.123457E-01 -3 2 6 0.123457E-01 6 3 18 0.400000E-01 -6 2 12 0.123457E-01 7 3 21 0.400000E-01 12 4 48 0.476190E-01 Exact 0.476190E-01 Monomial exponents: 0 1 6 1 1 1 0.00000 3 2 6 0.123457E-01 -3 2 6 0.123457E-01 6 3 18 0.400000E-01 -6 2 12 0.123457E-01 7 3 21 0.400000E-01 12 4 48 0.476190E-01 Exact 0.476190E-01 Monomial exponents: 8 0 0 1 1 1 0.152416E-03 3 2 6 0.130065E-01 -3 2 6 0.260417E-02 6 3 18 0.224925E-01 -6 2 12 0.119663E-01 7 3 21 0.212578E-01 12 4 48 0.222320E-01 Exact 0.222222E-01 Monomial exponents: 7 1 0 1 1 1 0.152416E-03 3 2 6 0.325253E-02 -3 2 6 0.130208E-02 6 3 18 0.287740E-02 -6 2 12 0.305748E-02 7 3 21 0.300592E-02 12 4 48 0.277565E-02 Exact 0.277778E-02 Monomial exponents: 6 2 0 1 1 1 0.152416E-03 3 2 6 0.816258E-03 -3 2 6 0.130208E-02 6 3 18 0.643962E-03 -6 2 12 0.864841E-03 7 3 21 0.687699E-03 12 4 48 0.790654E-03 Exact 0.793651E-03 Monomial exponents: 5 3 0 1 1 1 0.152416E-03 3 2 6 0.216121E-03 -3 2 6 0.130208E-02 6 3 18 0.385766E-03 -6 2 12 0.324717E-03 7 3 21 0.393840E-03 12 4 48 0.401403E-03 Exact 0.396825E-03 Monomial exponents: 4 4 0 1 1 1 0.152416E-03 3 2 6 0.101809E-03 -3 2 6 0.130208E-02 6 3 18 0.358701E-03 -6 2 12 0.221836E-03 7 3 21 0.361189E-03 12 4 48 0.312252E-03 Exact 0.317460E-03 Monomial exponents: 3 5 0 1 1 1 0.152416E-03 3 2 6 0.216121E-03 -3 2 6 0.130208E-02 6 3 18 0.385766E-03 -6 2 12 0.324717E-03 7 3 21 0.393840E-03 12 4 48 0.401403E-03 Exact 0.396825E-03 Monomial exponents: 2 6 0 1 1 1 0.152416E-03 3 2 6 0.816258E-03 -3 2 6 0.130208E-02 6 3 18 0.643962E-03 -6 2 12 0.864841E-03 7 3 21 0.687699E-03 12 4 48 0.790654E-03 Exact 0.793651E-03 Monomial exponents: 1 7 0 1 1 1 0.152416E-03 3 2 6 0.325253E-02 -3 2 6 0.130208E-02 6 3 18 0.287740E-02 -6 2 12 0.305748E-02 7 3 21 0.300592E-02 12 4 48 0.277565E-02 Exact 0.277778E-02 Monomial exponents: 0 8 0 1 1 1 0.152416E-03 3 2 6 0.130065E-01 -3 2 6 0.260417E-02 6 3 18 0.224925E-01 -6 2 12 0.119663E-01 7 3 21 0.212578E-01 12 4 48 0.222320E-01 Exact 0.222222E-01 Monomial exponents: 6 0 2 1 1 1 0.00000 3 2 6 0.975937E-02 -3 2 6 0.347222E-02 6 3 18 0.120589E-01 -6 2 12 0.913066E-02 7 3 21 0.118502E-01 12 4 48 0.119048E-01 Exact 0.119048E-01 Monomial exponents: 5 1 2 1 1 1 0.00000 3 2 6 0.245056E-02 -3 2 6 0.173611E-02 6 3 18 0.194890E-02 -6 2 12 0.237912E-02 7 3 21 0.201142E-02 12 4 48 0.198413E-02 Exact 0.198413E-02 Monomial exponents: 4 2 2 1 1 1 0.00000 3 2 6 0.650149E-03 -3 2 6 0.173611E-02 6 3 18 0.760662E-03 -6 2 12 0.758745E-03 7 3 21 0.764256E-03 12 4 48 0.793651E-03 Exact 0.793651E-03 Monomial exponents: 3 3 2 1 1 1 0.00000 3 2 6 0.307213E-03 -3 2 6 0.173611E-02 6 3 18 0.633033E-03 -6 2 12 0.450103E-03 7 3 21 0.625682E-03 12 4 48 0.595238E-03 Exact 0.595238E-03 Monomial exponents: 2 4 2 1 1 1 0.00000 3 2 6 0.650149E-03 -3 2 6 0.173611E-02 6 3 18 0.760662E-03 -6 2 12 0.758745E-03 7 3 21 0.764256E-03 12 4 48 0.793651E-03 Exact 0.793651E-03 Monomial exponents: 1 5 2 1 1 1 0.00000 3 2 6 0.245056E-02 -3 2 6 0.173611E-02 6 3 18 0.194890E-02 -6 2 12 0.237912E-02 7 3 21 0.201142E-02 12 4 48 0.198413E-02 Exact 0.198413E-02 Monomial exponents: 0 6 2 1 1 1 0.00000 3 2 6 0.975937E-02 -3 2 6 0.347222E-02 6 3 18 0.120589E-01 -6 2 12 0.913066E-02 7 3 21 0.118502E-01 12 4 48 0.119048E-01 Exact 0.119048E-01 Monomial exponents: 4 0 4 1 1 1 0.00000 3 2 6 0.737311E-02 -3 2 6 0.462963E-02 6 3 18 0.133333E-01 -6 2 12 0.709877E-02 7 3 21 0.133333E-01 12 4 48 0.133333E-01 Exact 0.133333E-01 Monomial exponents: 3 1 4 1 1 1 0.00000 3 2 6 0.197188E-02 -3 2 6 0.231481E-02 6 3 18 0.333333E-02 -6 2 12 0.200617E-02 7 3 21 0.333333E-02 12 4 48 0.333333E-02 Exact 0.333333E-02 Monomial exponents: 2 2 4 1 1 1 0.00000 3 2 6 0.943073E-03 -3 2 6 0.231481E-02 6 3 18 0.222222E-02 -6 2 12 0.108025E-02 7 3 21 0.222222E-02 12 4 48 0.222222E-02 Exact 0.222222E-02 Monomial exponents: 1 3 4 1 1 1 0.00000 3 2 6 0.197188E-02 -3 2 6 0.231481E-02 6 3 18 0.333333E-02 -6 2 12 0.200617E-02 7 3 21 0.333333E-02 12 4 48 0.333333E-02 Exact 0.333333E-02 Monomial exponents: 0 4 4 1 1 1 0.00000 3 2 6 0.737311E-02 -3 2 6 0.462963E-02 6 3 18 0.133333E-01 -6 2 12 0.709877E-02 7 3 21 0.133333E-01 12 4 48 0.133333E-01 Exact 0.133333E-01 Monomial exponents: 2 0 6 1 1 1 0.00000 3 2 6 0.617284E-02 -3 2 6 0.617284E-02 6 3 18 0.200000E-01 -6 2 12 0.617284E-02 7 3 21 0.200000E-01 12 4 48 0.238095E-01 Exact 0.238095E-01 Monomial exponents: 1 1 6 1 1 1 0.00000 3 2 6 0.308642E-02 -3 2 6 0.308642E-02 6 3 18 0.100000E-01 -6 2 12 0.308642E-02 7 3 21 0.100000E-01 12 4 48 0.119048E-01 Exact 0.119048E-01 Monomial exponents: 0 2 6 1 1 1 0.00000 3 2 6 0.617284E-02 -3 2 6 0.617284E-02 6 3 18 0.200000E-01 -6 2 12 0.617284E-02 7 3 21 0.200000E-01 12 4 48 0.238095E-01 Exact 0.238095E-01 Monomial exponents: 0 0 8 1 1 1 0.00000 3 2 6 0.123457E-01 -3 2 6 0.123457E-01 6 3 18 0.720000E-01 -6 2 12 0.123457E-01 7 3 21 0.720000E-01 12 4 48 0.105306 Exact 0.111111 WEDG_UNIT_WRITE_TEST For the unit wedge, write some rules to a file Rule Trig Line Total W_File X_File Order Order Order 1 1 1 1 wedge_felippa_1x1_w.txt wedge_felippa_1x1_x.txt 2 3 2 6 wedge_felippa_3x2_w.txt wedge_felippa_3x2_x.txt 3 -3 2 6 wedge_felippa_3bx2_w.txt wedge_felippa_3bx2_x.txt 4 6 3 18 wedge_felippa_6x3_w.txt wedge_felippa_6x3_x.txt 5 -6 2 12 wedge_felippa_6bx2_w.txt wedge_felippa_6bx2_x.txt 6 7 3 21 wedge_felippa_7x3_w.txt wedge_felippa_7x3_x.txt 7 12 4 48 wedge_felippa_12x4_w.txt wedge_felippa_12x4_x.txt FELIPPA_PRB Normal end of execution. 17 August 2014 11:00:00.142 AM