22 December 2011 10:57:47 AM FELIPPA_PRB C++ 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 ALPHA BETA GAMMA INTEGRAL 0 0 0 8 0 0 1 0 0 0 2 2.66667 0 0 3 0 0 0 4 1.6 0 1 0 0 0 1 1 0 0 1 2 0 0 1 3 0 0 2 0 2.66667 0 2 1 0 0 2 2 0.888889 0 3 0 0 0 3 1 0 0 4 0 1.6 1 0 0 0 1 0 1 0 1 0 2 0 1 0 3 0 1 1 0 0 1 1 1 0 1 1 2 0 1 2 0 0 1 2 1 0 1 3 0 0 2 0 0 2.66667 2 0 1 0 2 0 2 0.888889 2 1 0 0 2 1 1 0 2 2 0 0.888889 3 0 0 0 3 0 1 0 3 1 0 0 4 0 0 1.6 LINE_UNIT_MONOMIAL_TEST For the unit line, LINE_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Volume = 2 ALPHA INTEGRAL 0 2 1 0 2 0.666667 3 0 4 0.4 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 0.0666667 0 0 4 0.0380952 0 1 0 0 0 1 1 0 0 1 2 0 0 1 3 0 0 2 0 0.266667 0 2 1 0.0444444 0 2 2 0.0126984 0 3 0 0 0 3 1 0 0 4 0 0.114286 1 0 0 0 1 0 1 0 1 0 2 0 1 0 3 0 1 1 0 0 1 1 1 0 1 1 2 0 1 2 0 0 1 2 1 0 1 3 0 0 2 0 0 0.266667 2 0 1 0.0444444 2 0 2 0.0126984 2 1 0 0 2 1 1 0 2 2 0 0.0634921 3 0 0 0 3 0 1 0 3 1 0 0 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 ALPHA BETA INTEGRAL 0 0 4 0 1 0 0 2 1.33333 0 3 0 0 4 0.8 1 0 0 1 1 0 1 2 0 1 3 0 2 0 1.33333 2 1 0 2 2 0.444444 3 0 0 3 1 0 4 0 0.8 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 0.0416667 0 0 2 0.0166667 0 0 3 0.00833333 0 0 4 0.0047619 0 1 0 0.0416667 0 1 1 0.00833333 0 1 2 0.00277778 0 1 3 0.00119048 0 2 0 0.0166667 0 2 1 0.00277778 0 2 2 0.000793651 0 3 0 0.00833333 0 3 1 0.00119048 0 4 0 0.0047619 1 0 0 0.0416667 1 0 1 0.00833333 1 0 2 0.00277778 1 0 3 0.00119048 1 1 0 0.00833333 1 1 1 0.00138889 1 1 2 0.000396825 1 2 0 0.00277778 1 2 1 0.000396825 1 3 0 0.00119048 2 0 0 0.0166667 2 0 1 0.00277778 2 0 2 0.000793651 2 1 0 0.00277778 2 1 1 0.000396825 2 2 0 0.000793651 3 0 0 0.00833333 3 0 1 0.00119048 3 1 0 0.00119048 4 0 0 0.0047619 TRIG_UNIT_MONOMIAL_TEST For the unit triangle, TRIG_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Y^BETA Volume = 0.5 ALPHA BETA INTEGRAL 0 0 0.5 0 1 0.166667 0 2 0.0833333 0 3 0.05 0 4 0.0333333 1 0 0.166667 1 1 0.0416667 1 2 0.0166667 1 3 0.00833333 2 0 0.0833333 2 1 0.0166667 2 2 0.00555556 3 0 0.05 3 1 0.00833333 4 0 0.0333333 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 ALPHA BETA GAMMA INTEGRAL 0 0 0 1 0 0 1 0 0 0 2 0.333333 0 0 3 0 0 0 4 0.2 0 1 0 0.333333 0 1 1 0 0 1 2 0.111111 0 1 3 0 0 2 0 0.166667 0 2 1 0 0 2 2 0.0555556 0 3 0 0.1 0 3 1 0 0 4 0 0.0666667 1 0 0 0.333333 1 0 1 0 1 0 2 0.111111 1 0 3 0 1 1 0 0.0833333 1 1 1 0 1 1 2 0.0277778 1 2 0 0.0333333 1 2 1 0 1 3 0 0.0166667 2 0 0 0.166667 2 0 1 0 2 0 2 0.0555556 2 1 0 0.0333333 2 1 1 0 2 2 0 0.0111111 3 0 0 0.1 3 0 1 0 3 1 0 0.0166667 4 0 0 0.0666667 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 2 2 2 8 3 3 3 8 4 4 4 8 5 5 5 8 3 5 2 8 Exact 8 Monomial exponents: 2 0 0 1 1 1 0 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 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 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 2 2 2 0.888889 3 3 3 1.6 4 4 4 1.6 5 5 5 1.6 3 5 2 1.6 Exact 1.6 Monomial exponents: 2 2 0 1 1 1 0 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 2 2 2 0.888889 3 3 3 1.6 4 4 4 1.6 5 5 5 1.6 3 5 2 1.6 Exact 1.6 Monomial exponents: 2 0 2 1 1 1 0 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 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 2 2 2 0.888889 3 3 3 1.6 4 4 4 1.6 5 5 5 1.6 3 5 2 0.888889 Exact 1.6 Monomial exponents: 6 0 0 1 1 1 0 2 2 2 0.296296 3 3 3 0.96 4 4 4 1.14286 5 5 5 1.14286 3 5 2 0.96 Exact 1.14286 Monomial exponents: 4 2 0 1 1 1 0 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 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 2 2 2 0.296296 3 3 3 0.96 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 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 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 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 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 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 2 2 2 0.296296 3 3 3 0.96 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 2 2 3 2 4 2 5 2 Exact 2 Monomial exponents: 2 1 0 2 0.666667 3 0.666667 4 0.666667 5 0.666667 Exact 0.666667 Monomial exponents: 4 1 0 2 0.222222 3 0.4 4 0.4 5 0.4 Exact 0.4 Monomial exponents: 6 1 0 2 0.0740741 3 0.24 4 0.285714 5 0.285714 Exact 0.285714 Monomial exponents: 8 1 0 2 0.0246914 3 0.144 4 0.210612 5 0.222222 Exact 0.222222 Monomial exponents: 10 1 0 2 0.00823045 3 0.0864 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 1.33333 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 0.333333 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 5 0.266667 6 0.266667 8 0.266667 8 0.266667 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 5 0.266667 6 0.266667 8 0.266667 8 0.266667 9 0.266667 13 0.266667 18 0.266667 27 0.266667 48 0.266667 Exact 0.266667 Monomial exponents: 0 0 2 1 0.0833333 5 0.133333 6 0.133333 8 0.133333 8 0.133333 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 5 0.0444444 6 0.0444444 8 0.0444444 8 0.0444444 9 0.0444444 13 0.0444444 18 0.0444444 27 0.0444444 48 0.0444444 Exact 0.0444444 Monomial exponents: 0 2 1 1 0 5 0.0444444 6 0.0444444 8 0.0444444 8 0.0444444 9 0.0444444 13 0.0444444 18 0.0444444 27 0.0444444 48 0.0444444 Exact 0.0444444 Monomial exponents: 0 0 3 1 0.0208333 5 0.0766667 6 0.0773148 8 0.0666667 8 0.0647619 9 0.0669312 13 0.0666504 18 0.0666667 27 0.0666667 48 0.0666667 Exact 0.0666667 Monomial exponents: 4 0 0 1 0 5 0.0632099 6 0.0634921 8 0.0632099 8 0.0632099 9 0.0634921 13 0.0664669 18 0.113778 27 0.114286 48 0.114286 Exact 0.114286 Monomial exponents: 2 2 0 1 0 5 0.0632099 6 0.0634921 8 0.0632099 8 0.0632099 9 0.0634921 13 0.0634921 18 0.0632099 27 0.0634921 48 0.0634921 Exact 0.0634921 Monomial exponents: 0 4 0 1 0 5 0.0632099 6 0.0634921 8 0.0632099 8 0.0632099 9 0.0634921 13 0.0664669 18 0.113778 27 0.114286 48 0.114286 Exact 0.114286 Monomial exponents: 2 0 2 1 0 5 0.00740741 6 0.00740741 8 0.0118519 8 0.0126984 9 0.0126984 13 0.0126984 18 0.0118519 27 0.0126984 48 0.0126984 Exact 0.0126984 Monomial exponents: 0 2 2 1 0 5 0.00740741 6 0.00740741 8 0.0118519 8 0.0126984 9 0.0126984 13 0.0126984 18 0.0118519 27 0.0126984 48 0.0126984 Exact 0.0126984 Monomial exponents: 0 0 4 1 0.00520833 5 0.0508889 6 0.0523148 8 0.0355556 8 0.0330884 9 0.0392038 13 0.0379673 18 0.0355556 27 0.0380952 48 0.0380952 Exact 0.0380952 Monomial exponents: 4 0 1 1 0 5 0.010535 6 0.010582 8 0.00855967 8 0.00818342 9 0.00793651 13 0.00894583 18 0.0154074 27 0.0142857 48 0.0142857 Exact 0.0142857 Monomial exponents: 2 2 1 1 0 5 0.010535 6 0.010582 8 0.00855967 8 0.00818342 9 0.00793651 13 0.00793651 18 0.00855967 27 0.00793651 48 0.00793651 Exact 0.00793651 Monomial exponents: 0 4 1 1 0 5 0.010535 6 0.010582 8 0.00855967 8 0.00818342 9 0.00793651 13 0.00894583 18 0.0154074 27 0.0142857 48 0.0142857 Exact 0.0142857 Monomial exponents: 2 0 3 1 0 5 0.00123457 6 0.00123457 8 0.00493827 8 0.00544218 9 0.00466742 13 0.0047619 18 0.00493827 27 0.0047619 48 0.0047619 Exact 0.0047619 Monomial exponents: 0 2 3 1 0 5 0.00123457 6 0.00123457 8 0.00493827 8 0.00544218 9 0.00466742 13 0.0047619 18 0.00493827 27 0.0047619 48 0.0047619 Exact 0.0047619 Monomial exponents: 0 0 5 1 0.00130208 5 0.0351593 6 0.0371881 8 0.0192593 8 0.0170978 9 0.0261261 13 0.02387 18 0.0192593 27 0.0238095 48 0.0238095 Exact 0.0238095 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 2 2 4 3 3 4 4 4 4 5 5 4 3 5 4 Exact 4 Monomial exponents: 2 0 1 1 0 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 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 2 2 0.444444 3 3 0.8 4 4 0.8 5 5 0.8 3 5 0.8 Exact 0.8 Monomial exponents: 2 2 1 1 0 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 2 2 0.444444 3 3 0.8 4 4 0.8 5 5 0.8 3 5 0.8 Exact 0.8 Monomial exponents: 6 0 1 1 0 2 2 0.148148 3 3 0.48 4 4 0.571429 5 5 0.571429 3 5 0.48 Exact 0.571429 Monomial exponents: 4 2 1 1 0 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 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 2 2 0.148148 3 3 0.48 4 4 0.571429 5 5 0.571429 3 5 0.571429 Exact 0.571429 Monomial exponents: 8 0 1 1 0 2 2 0.0493827 3 3 0.288 4 4 0.421224 5 5 0.444444 3 5 0.288 Exact 0.444444 Monomial exponents: 6 2 1 1 0 2 2 0.0493827 3 3 0.16 4 4 0.190476 5 5 0.190476 3 5 0.16 Exact 0.190476 Monomial exponents: 4 4 1 1 0 2 2 0.0493827 3 3 0.16 4 4 0.16 5 5 0.16 3 5 0.16 Exact 0.16 Monomial exponents: 2 6 1 1 0 2 2 0.0493827 3 3 0.16 4 4 0.190476 5 5 0.190476 3 5 0.190476 Exact 0.190476 Monomial exponents: 0 8 1 1 0 2 2 0.0493827 3 3 0.288 4 4 0.421224 5 5 0.444444 3 5 0.444444 Exact 0.444444 Monomial exponents: 10 0 1 1 0 2 2 0.0164609 3 3 0.1728 4 4 0.31207 5 5 0.357773 3 5 0.1728 Exact 0.363636 Monomial exponents: 8 2 1 1 0 2 2 0.0164609 3 3 0.096 4 4 0.140408 5 5 0.148148 3 5 0.096 Exact 0.148148 Monomial exponents: 6 4 1 1 0 2 2 0.0164609 3 3 0.096 4 4 0.114286 5 5 0.114286 3 5 0.096 Exact 0.114286 Monomial exponents: 4 6 1 1 0 2 2 0.0164609 3 3 0.096 4 4 0.114286 5 5 0.114286 3 5 0.114286 Exact 0.114286 Monomial exponents: 2 8 1 1 0 2 2 0.0164609 3 3 0.096 4 4 0.140408 5 5 0.148148 3 5 0.148148 Exact 0.148148 Monomial exponents: 0 10 1 1 0 2 2 0.0164609 3 3 0.1728 4 4 0.31207 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 0.0416667 4 0.0416667 8 0.0416667 8 0.0416667 14 0.0416667 14 0.0416667 15 0.0416667 15 0.0416667 24 0.0416667 Exact 0.0416667 Monomial exponents: 0 1 0 1 0.0416667 4 0.0416667 8 0.0416667 8 0.0416667 14 0.0416667 14 0.0416667 15 0.0416667 15 0.0416667 24 0.0416667 Exact 0.0416667 Monomial exponents: 0 0 1 1 0.0416667 4 0.0416667 8 0.0416667 8 0.0416667 14 0.0416667 14 0.0416667 15 0.0416667 15 0.0416667 24 0.0416667 Exact 0.0416667 Monomial exponents: 2 0 0 1 0.0104167 4 0.0166667 8 0.0166667 8 0.0166667 14 0.0166667 14 0.0166667 15 0.0166667 15 0.0166667 24 0.0166667 Exact 0.0166667 Monomial exponents: 1 1 0 1 0.0104167 4 0.00833333 8 0.00833333 8 0.00833333 14 0.00833333 14 0.00833333 15 0.00833333 15 0.00833333 24 0.00833333 Exact 0.00833333 Monomial exponents: 0 2 0 1 0.0104167 4 0.0166667 8 0.0166667 8 0.0166667 14 0.0166667 14 0.0166667 15 0.0166667 15 0.0166667 24 0.0166667 Exact 0.0166667 Monomial exponents: 1 0 1 1 0.0104167 4 0.00833333 8 0.00833333 8 0.00833333 14 0.00833333 14 0.00833333 15 0.00833333 15 0.00833333 24 0.00833333 Exact 0.00833333 Monomial exponents: 0 1 1 1 0.0104167 4 0.00833333 8 0.00833333 8 0.00833333 14 0.00833333 14 0.00833333 15 0.00833333 15 0.00833333 24 0.00833333 Exact 0.00833333 Monomial exponents: 0 0 2 1 0.0104167 4 0.0166667 8 0.0166667 8 0.0166667 14 0.0166667 14 0.0166667 15 0.0166667 15 0.0166667 24 0.0166667 Exact 0.0166667 Monomial exponents: 3 0 0 1 0.00260417 4 0.00868921 8 0.00833333 8 0.00833333 14 0.00833333 14 0.00833333 15 0.00833333 15 0.00833333 24 0.00833333 Exact 0.00833333 Monomial exponents: 2 1 0 1 0.00260417 4 0.00265915 8 0.00277778 8 0.00277778 14 0.00277778 14 0.00277778 15 0.00277778 15 0.00277778 24 0.00277778 Exact 0.00277778 Monomial exponents: 1 2 0 1 0.00260417 4 0.00265915 8 0.00277778 8 0.00277778 14 0.00277778 14 0.00277778 15 0.00277778 15 0.00277778 24 0.00277778 Exact 0.00277778 Monomial exponents: 0 3 0 1 0.00260417 4 0.00868921 8 0.00833333 8 0.00833333 14 0.00833333 14 0.00833333 15 0.00833333 15 0.00833333 24 0.00833333 Exact 0.00833333 Monomial exponents: 2 0 1 1 0.00260417 4 0.00265915 8 0.00277778 8 0.00277778 14 0.00277778 14 0.00277778 15 0.00277778 15 0.00277778 24 0.00277778 Exact 0.00277778 Monomial exponents: 1 1 1 1 0.00260417 4 0.00150751 8 0.00138889 8 0.00138889 14 0.00138889 14 0.00138889 15 0.00138889 15 0.00138889 24 0.00138889 Exact 0.00138889 Monomial exponents: 0 2 1 1 0.00260417 4 0.00265915 8 0.00277778 8 0.00277778 14 0.00277778 14 0.00277778 15 0.00277778 15 0.00277778 24 0.00277778 Exact 0.00277778 Monomial exponents: 1 0 2 1 0.00260417 4 0.00265915 8 0.00277778 8 0.00277778 14 0.00277778 14 0.00277778 15 0.00277778 15 0.00277778 24 0.00277778 Exact 0.00277778 Monomial exponents: 0 1 2 1 0.00260417 4 0.00265915 8 0.00277778 8 0.00277778 14 0.00277778 14 0.00277778 15 0.00277778 15 0.00277778 24 0.00277778 Exact 0.00277778 Monomial exponents: 0 0 3 1 0.00260417 4 0.00868921 8 0.00833333 8 0.00833333 14 0.00833333 14 0.00833333 15 0.00833333 15 0.00833333 24 0.00833333 Exact 0.00833333 Monomial exponents: 4 0 0 1 0.000651042 4 0.00493921 8 0.0047619 8 0.00555556 14 0.0047619 14 0.0047619 15 0.0047619 15 0.0047619 24 0.0047619 Exact 0.0047619 Monomial exponents: 3 1 0 1 0.000651042 4 0.00125 8 0.00119048 8 0.000925926 14 0.00119048 14 0.00119048 15 0.00119048 15 0.00119048 24 0.00119048 Exact 0.00119048 Monomial exponents: 2 2 0 1 0.000651042 4 0.000575819 8 0.000736961 8 0.000925926 14 0.000793651 14 0.000793651 15 0.000793651 15 0.000793651 24 0.000793651 Exact 0.000793651 Monomial exponents: 1 3 0 1 0.000651042 4 0.00125 8 0.00119048 8 0.000925926 14 0.00119048 14 0.00119048 15 0.00119048 15 0.00119048 24 0.00119048 Exact 0.00119048 Monomial exponents: 0 4 0 1 0.000651042 4 0.00493921 8 0.0047619 8 0.00555556 14 0.0047619 14 0.0047619 15 0.0047619 15 0.0047619 24 0.0047619 Exact 0.0047619 Monomial exponents: 3 0 1 1 0.000651042 4 0.00125 8 0.00119048 8 0.000925926 14 0.00119048 14 0.00119048 15 0.00119048 15 0.00119048 24 0.00119048 Exact 0.00119048 Monomial exponents: 2 1 1 1 0.000651042 4 0.000416667 8 0.00042517 8 0.000462963 14 0.000396825 14 0.000396825 15 0.000396825 15 0.000396825 24 0.000396825 Exact 0.000396825 Monomial exponents: 1 2 1 1 0.000651042 4 0.000416667 8 0.00042517 8 0.000462963 14 0.000396825 14 0.000396825 15 0.000396825 15 0.000396825 24 0.000396825 Exact 0.000396825 Monomial exponents: 0 3 1 1 0.000651042 4 0.00125 8 0.00119048 8 0.000925926 14 0.00119048 14 0.00119048 15 0.00119048 15 0.00119048 24 0.00119048 Exact 0.00119048 Monomial exponents: 2 0 2 1 0.000651042 4 0.000575819 8 0.000736961 8 0.000925926 14 0.000793651 14 0.000793651 15 0.000793651 15 0.000793651 24 0.000793651 Exact 0.000793651 Monomial exponents: 1 1 2 1 0.000651042 4 0.000416667 8 0.00042517 8 0.000462963 14 0.000396825 14 0.000396825 15 0.000396825 15 0.000396825 24 0.000396825 Exact 0.000396825 Monomial exponents: 0 2 2 1 0.000651042 4 0.000575819 8 0.000736961 8 0.000925926 14 0.000793651 14 0.000793651 15 0.000793651 15 0.000793651 24 0.000793651 Exact 0.000793651 Monomial exponents: 1 0 3 1 0.000651042 4 0.00125 8 0.00119048 8 0.000925926 14 0.00119048 14 0.00119048 15 0.00119048 15 0.00119048 24 0.00119048 Exact 0.00119048 Monomial exponents: 0 1 3 1 0.000651042 4 0.00125 8 0.00119048 8 0.000925926 14 0.00119048 14 0.00119048 15 0.00119048 15 0.00119048 24 0.00119048 Exact 0.00119048 Monomial exponents: 0 0 4 1 0.000651042 4 0.00493921 8 0.0047619 8 0.00555556 14 0.0047619 14 0.0047619 15 0.0047619 15 0.0047619 24 0.0047619 Exact 0.0047619 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_O12, Monomial exponents: 0 0 1 0.5 3 0.5 3 0.5 6 0.5 6 0.5 7 0.5 12 0.5 Exact 0.5 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 0.0555556 3 0.0833333 3 0.0833333 6 0.0833333 6 0.0833333 7 0.0833333 12 0.0833333 Exact 0.0833333 Monomial exponents: 1 1 1 0.0555556 3 0.0416667 3 0.0416667 6 0.0416667 6 0.0416667 7 0.0416667 12 0.0416667 Exact 0.0416667 Monomial exponents: 0 2 1 0.0555556 3 0.0833333 3 0.0833333 6 0.0833333 6 0.0833333 7 0.0833333 12 0.0833333 Exact 0.0833333 Monomial exponents: 3 0 1 0.0185185 3 0.0509259 3 0.0416667 6 0.05 6 0.05 7 0.05 12 0.05 Exact 0.05 Monomial exponents: 2 1 1 0.0185185 3 0.0162037 3 0.0208333 6 0.0166667 6 0.0166667 7 0.0166667 12 0.0166667 Exact 0.0166667 Monomial exponents: 1 2 1 0.0185185 3 0.0162037 3 0.0208333 6 0.0166667 6 0.0166667 7 0.0166667 12 0.0166667 Exact 0.0166667 Monomial exponents: 0 3 1 0.0185185 3 0.0509259 3 0.0416667 6 0.05 6 0.05 7 0.05 12 0.05 Exact 0.05 Monomial exponents: 4 0 1 0.00617284 3 0.033179 3 0.0208333 6 0.0333333 6 0.0319444 7 0.0333333 12 0.0333333 Exact 0.0333333 Monomial exponents: 3 1 1 0.00617284 3 0.00887346 3 0.0104167 6 0.00833333 6 0.00902778 7 0.00833333 12 0.00833333 Exact 0.00833333 Monomial exponents: 2 2 1 0.00617284 3 0.00424383 3 0.0104167 6 0.00555556 6 0.00486111 7 0.00555556 12 0.00555556 Exact 0.00555556 Monomial exponents: 1 3 1 0.00617284 3 0.00887346 3 0.0104167 6 0.00833333 6 0.00902778 7 0.00833333 12 0.00833333 Exact 0.00833333 Monomial exponents: 0 4 1 0.00617284 3 0.033179 3 0.0208333 6 0.0333333 6 0.0319444 7 0.0333333 12 0.0333333 Exact 0.0333333 Monomial exponents: 5 0 1 0.00205761 3 0.0219907 3 0.0104167 6 0.0239351 6 0.0208333 7 0.0238095 12 0.0238095 Exact 0.0238095 Monomial exponents: 4 1 1 0.00205761 3 0.00559414 3 0.00520833 6 0.00469912 6 0.00555556 7 0.0047619 12 0.0047619 Exact 0.0047619 Monomial exponents: 3 2 1 0.00205761 3 0.00173611 3 0.00520833 6 0.00239351 6 0.00208333 7 0.00238095 12 0.00238095 Exact 0.00238095 Monomial exponents: 2 3 1 0.00205761 3 0.00173611 3 0.00520833 6 0.00239351 6 0.00208333 7 0.00238095 12 0.00238095 Exact 0.00238095 Monomial exponents: 1 4 1 0.00205761 3 0.00559414 3 0.00520833 6 0.00469912 6 0.00555556 7 0.0047619 12 0.0047619 Exact 0.0047619 Monomial exponents: 0 5 1 0.00205761 3 0.0219907 3 0.0104167 6 0.0239351 6 0.0208333 7 0.0238095 12 0.0238095 Exact 0.0238095 Monomial exponents: 6 0 1 0.000685871 3 0.0146391 3 0.00520833 6 0.0180884 6 0.013696 7 0.0177753 12 0.0178571 Exact 0.0178571 Monomial exponents: 5 1 1 0.000685871 3 0.00367584 3 0.00260417 6 0.00292335 6 0.00356867 7 0.00301713 12 0.00297619 Exact 0.00297619 Monomial exponents: 4 2 1 0.000685871 3 0.000975223 3 0.00260417 6 0.00114099 6 0.00113812 7 0.00114638 12 0.00119048 Exact 0.00119048 Monomial exponents: 3 3 1 0.000685871 3 0.00046082 3 0.00260417 6 0.00094955 6 0.000675154 7 0.000938524 12 0.000892857 Exact 0.000892857 Monomial exponents: 2 4 1 0.000685871 3 0.000975223 3 0.00260417 6 0.00114099 6 0.00113812 7 0.00114638 12 0.00119048 Exact 0.00119048 Monomial exponents: 1 5 1 0.000685871 3 0.00367584 3 0.00260417 6 0.00292335 6 0.00356867 7 0.00301713 12 0.00297619 Exact 0.00297619 Monomial exponents: 0 6 1 0.000685871 3 0.0146391 3 0.00520833 6 0.0180884 6 0.013696 7 0.0177753 12 0.0178571 Exact 0.0178571 Monomial exponents: 7 0 1 0.000228624 3 0.0097558 3 0.00260417 6 0.0141236 6 0.00904064 7 0.0136348 12 0.0138916 Exact 0.0138889 Monomial exponents: 6 1 1 0.000228624 3 0.00244163 3 0.00130208 6 0.00198238 6 0.00232767 7 0.00207021 12 0.00198275 Exact 0.00198413 Monomial exponents: 5 2 1 0.000228624 3 0.000619785 3 0.00130208 6 0.000583004 6 0.000688014 7 0.000601687 12 0.000661965 Exact 0.000661376 Monomial exponents: 4 3 1 0.000228624 3 0.000191115 3 0.00130208 6 0.000419591 6 0.000302212 7 0.000418121 12 0.000396629 Exact 0.000396825 Monomial exponents: 3 4 1 0.000228624 3 0.000191115 3 0.00130208 6 0.000419591 6 0.000302212 7 0.000418121 12 0.000396629 Exact 0.000396825 Monomial exponents: 2 5 1 0.000228624 3 0.000619785 3 0.00130208 6 0.000583004 6 0.000688014 7 0.000601687 12 0.000661965 Exact 0.000661376 Monomial exponents: 1 6 1 0.000228624 3 0.00244163 3 0.00130208 6 0.00198238 6 0.00232767 7 0.00207021 12 0.00198275 Exact 0.00198413 Monomial exponents: 0 7 1 0.000228624 3 0.0097558 3 0.00260417 6 0.0141236 6 0.00904064 7 0.0136348 12 0.0138916 Exact 0.0138889 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 3 2 6 1 -3 2 6 1 6 3 18 1 -6 2 12 1 7 3 21 1 12 4 48 1 Exact 1 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 0.0833333 -3 2 6 0.0833333 6 3 18 0.0833333 -6 2 12 0.0833333 7 3 21 0.0833333 12 4 48 0.0833333 Exact 0.0833333 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 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 0.037037 3 2 6 0.101852 -3 2 6 0.0833333 6 3 18 0.1 -6 2 12 0.1 7 3 21 0.1 12 4 48 0.1 Exact 0.1 Monomial exponents: 2 1 0 1 1 1 0.037037 3 2 6 0.0324074 -3 2 6 0.0416667 6 3 18 0.0333333 -6 2 12 0.0333333 7 3 21 0.0333333 12 4 48 0.0333333 Exact 0.0333333 Monomial exponents: 1 2 0 1 1 1 0.037037 3 2 6 0.0324074 -3 2 6 0.0416667 6 3 18 0.0333333 -6 2 12 0.0333333 7 3 21 0.0333333 12 4 48 0.0333333 Exact 0.0333333 Monomial exponents: 0 3 0 1 1 1 0.037037 3 2 6 0.101852 -3 2 6 0.0833333 6 3 18 0.1 -6 2 12 0.1 7 3 21 0.1 12 4 48 0.1 Exact 0.1 Monomial exponents: 1 0 2 1 1 1 0 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 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 0.0123457 3 2 6 0.066358 -3 2 6 0.0416667 6 3 18 0.0666667 -6 2 12 0.0638889 7 3 21 0.0666667 12 4 48 0.0666667 Exact 0.0666667 Monomial exponents: 3 1 0 1 1 1 0.0123457 3 2 6 0.0177469 -3 2 6 0.0208333 6 3 18 0.0166667 -6 2 12 0.0180556 7 3 21 0.0166667 12 4 48 0.0166667 Exact 0.0166667 Monomial exponents: 2 2 0 1 1 1 0.0123457 3 2 6 0.00848765 -3 2 6 0.0208333 6 3 18 0.0111111 -6 2 12 0.00972222 7 3 21 0.0111111 12 4 48 0.0111111 Exact 0.0111111 Monomial exponents: 1 3 0 1 1 1 0.0123457 3 2 6 0.0177469 -3 2 6 0.0208333 6 3 18 0.0166667 -6 2 12 0.0180556 7 3 21 0.0166667 12 4 48 0.0166667 Exact 0.0166667 Monomial exponents: 0 4 0 1 1 1 0.0123457 3 2 6 0.066358 -3 2 6 0.0416667 6 3 18 0.0666667 -6 2 12 0.0638889 7 3 21 0.0666667 12 4 48 0.0666667 Exact 0.0666667 Monomial exponents: 2 0 2 1 1 1 0 3 2 6 0.0555556 -3 2 6 0.0555556 6 3 18 0.0555556 -6 2 12 0.0555556 7 3 21 0.0555556 12 4 48 0.0555556 Exact 0.0555556 Monomial exponents: 1 1 2 1 1 1 0 3 2 6 0.0277778 -3 2 6 0.0277778 6 3 18 0.0277778 -6 2 12 0.0277778 7 3 21 0.0277778 12 4 48 0.0277778 Exact 0.0277778 Monomial exponents: 0 2 2 1 1 1 0 3 2 6 0.0555556 -3 2 6 0.0555556 6 3 18 0.0555556 -6 2 12 0.0555556 7 3 21 0.0555556 12 4 48 0.0555556 Exact 0.0555556 Monomial exponents: 0 0 4 1 1 1 0 3 2 6 0.111111 -3 2 6 0.111111 6 3 18 0.2 -6 2 12 0.111111 7 3 21 0.2 12 4 48 0.2 Exact 0.2 Monomial exponents: 5 0 0 1 1 1 0.00411523 3 2 6 0.0439815 -3 2 6 0.0208333 6 3 18 0.0478702 -6 2 12 0.0416667 7 3 21 0.047619 12 4 48 0.047619 Exact 0.047619 Monomial exponents: 4 1 0 1 1 1 0.00411523 3 2 6 0.0111883 -3 2 6 0.0104167 6 3 18 0.00939824 -6 2 12 0.0111111 7 3 21 0.00952381 12 4 48 0.00952381 Exact 0.00952381 Monomial exponents: 3 2 0 1 1 1 0.00411523 3 2 6 0.00347222 -3 2 6 0.0104167 6 3 18 0.00478702 -6 2 12 0.00416667 7 3 21 0.0047619 12 4 48 0.0047619 Exact 0.0047619 Monomial exponents: 2 3 0 1 1 1 0.00411523 3 2 6 0.00347222 -3 2 6 0.0104167 6 3 18 0.00478702 -6 2 12 0.00416667 7 3 21 0.0047619 12 4 48 0.0047619 Exact 0.0047619 Monomial exponents: 1 4 0 1 1 1 0.00411523 3 2 6 0.0111883 -3 2 6 0.0104167 6 3 18 0.00939824 -6 2 12 0.0111111 7 3 21 0.00952381 12 4 48 0.00952381 Exact 0.00952381 Monomial exponents: 0 5 0 1 1 1 0.00411523 3 2 6 0.0439815 -3 2 6 0.0208333 6 3 18 0.0478702 -6 2 12 0.0416667 7 3 21 0.047619 12 4 48 0.047619 Exact 0.047619 Monomial exponents: 3 0 2 1 1 1 0 3 2 6 0.0339506 -3 2 6 0.0277778 6 3 18 0.0333333 -6 2 12 0.0333333 7 3 21 0.0333333 12 4 48 0.0333333 Exact 0.0333333 Monomial exponents: 2 1 2 1 1 1 0 3 2 6 0.0108025 -3 2 6 0.0138889 6 3 18 0.0111111 -6 2 12 0.0111111 7 3 21 0.0111111 12 4 48 0.0111111 Exact 0.0111111 Monomial exponents: 1 2 2 1 1 1 0 3 2 6 0.0108025 -3 2 6 0.0138889 6 3 18 0.0111111 -6 2 12 0.0111111 7 3 21 0.0111111 12 4 48 0.0111111 Exact 0.0111111 Monomial exponents: 0 3 2 1 1 1 0 3 2 6 0.0339506 -3 2 6 0.0277778 6 3 18 0.0333333 -6 2 12 0.0333333 7 3 21 0.0333333 12 4 48 0.0333333 Exact 0.0333333 Monomial exponents: 1 0 4 1 1 1 0 3 2 6 0.037037 -3 2 6 0.037037 6 3 18 0.0666667 -6 2 12 0.037037 7 3 21 0.0666667 12 4 48 0.0666667 Exact 0.0666667 Monomial exponents: 0 1 4 1 1 1 0 3 2 6 0.037037 -3 2 6 0.037037 6 3 18 0.0666667 -6 2 12 0.037037 7 3 21 0.0666667 12 4 48 0.0666667 Exact 0.0666667 Monomial exponents: 6 0 0 1 1 1 0.00137174 3 2 6 0.0292781 -3 2 6 0.0104167 6 3 18 0.0361768 -6 2 12 0.027392 7 3 21 0.0355505 12 4 48 0.0357143 Exact 0.0357143 Monomial exponents: 5 1 0 1 1 1 0.00137174 3 2 6 0.00735168 -3 2 6 0.00520833 6 3 18 0.00584671 -6 2 12 0.00713735 7 3 21 0.00603427 12 4 48 0.00595238 Exact 0.00595238 Monomial exponents: 4 2 0 1 1 1 0.00137174 3 2 6 0.00195045 -3 2 6 0.00520833 6 3 18 0.00228199 -6 2 12 0.00227623 7 3 21 0.00229277 12 4 48 0.00238095 Exact 0.00238095 Monomial exponents: 3 3 0 1 1 1 0.00137174 3 2 6 0.000921639 -3 2 6 0.00520833 6 3 18 0.0018991 -6 2 12 0.00135031 7 3 21 0.00187705 12 4 48 0.00178571 Exact 0.00178571 Monomial exponents: 2 4 0 1 1 1 0.00137174 3 2 6 0.00195045 -3 2 6 0.00520833 6 3 18 0.00228199 -6 2 12 0.00227623 7 3 21 0.00229277 12 4 48 0.00238095 Exact 0.00238095 Monomial exponents: 1 5 0 1 1 1 0.00137174 3 2 6 0.00735168 -3 2 6 0.00520833 6 3 18 0.00584671 -6 2 12 0.00713735 7 3 21 0.00603427 12 4 48 0.00595238 Exact 0.00595238 Monomial exponents: 0 6 0 1 1 1 0.00137174 3 2 6 0.0292781 -3 2 6 0.0104167 6 3 18 0.0361768 -6 2 12 0.027392 7 3 21 0.0355505 12 4 48 0.0357143 Exact 0.0357143 Monomial exponents: 4 0 2 1 1 1 0 3 2 6 0.0221193 -3 2 6 0.0138889 6 3 18 0.0222222 -6 2 12 0.0212963 7 3 21 0.0222222 12 4 48 0.0222222 Exact 0.0222222 Monomial exponents: 3 1 2 1 1 1 0 3 2 6 0.00591564 -3 2 6 0.00694444 6 3 18 0.00555556 -6 2 12 0.00601852 7 3 21 0.00555556 12 4 48 0.00555556 Exact 0.00555556 Monomial exponents: 2 2 2 1 1 1 0 3 2 6 0.00282922 -3 2 6 0.00694444 6 3 18 0.0037037 -6 2 12 0.00324074 7 3 21 0.0037037 12 4 48 0.0037037 Exact 0.0037037 Monomial exponents: 1 3 2 1 1 1 0 3 2 6 0.00591564 -3 2 6 0.00694444 6 3 18 0.00555556 -6 2 12 0.00601852 7 3 21 0.00555556 12 4 48 0.00555556 Exact 0.00555556 Monomial exponents: 0 4 2 1 1 1 0 3 2 6 0.0221193 -3 2 6 0.0138889 6 3 18 0.0222222 -6 2 12 0.0212963 7 3 21 0.0222222 12 4 48 0.0222222 Exact 0.0222222 Monomial exponents: 2 0 4 1 1 1 0 3 2 6 0.0185185 -3 2 6 0.0185185 6 3 18 0.0333333 -6 2 12 0.0185185 7 3 21 0.0333333 12 4 48 0.0333333 Exact 0.0333333 Monomial exponents: 1 1 4 1 1 1 0 3 2 6 0.00925926 -3 2 6 0.00925926 6 3 18 0.0166667 -6 2 12 0.00925926 7 3 21 0.0166667 12 4 48 0.0166667 Exact 0.0166667 Monomial exponents: 0 2 4 1 1 1 0 3 2 6 0.0185185 -3 2 6 0.0185185 6 3 18 0.0333333 -6 2 12 0.0185185 7 3 21 0.0333333 12 4 48 0.0333333 Exact 0.0333333 Monomial exponents: 0 0 6 1 1 1 0 3 2 6 0.037037 -3 2 6 0.037037 6 3 18 0.12 -6 2 12 0.037037 7 3 21 0.12 12 4 48 0.142857 Exact 0.142857 Monomial exponents: 7 0 0 1 1 1 0.000457247 3 2 6 0.0195116 -3 2 6 0.00520833 6 3 18 0.0282473 -6 2 12 0.0180813 7 3 21 0.0272697 12 4 48 0.0277833 Exact 0.0277778 Monomial exponents: 6 1 0 1 1 1 0.000457247 3 2 6 0.00488326 -3 2 6 0.00260417 6 3 18 0.00396475 -6 2 12 0.00465535 7 3 21 0.00414042 12 4 48 0.0039655 Exact 0.00396825 Monomial exponents: 5 2 0 1 1 1 0.000457247 3 2 6 0.00123957 -3 2 6 0.00260417 6 3 18 0.00116601 -6 2 12 0.00137603 7 3 21 0.00120337 12 4 48 0.00132393 Exact 0.00132275 Monomial exponents: 4 3 0 1 1 1 0.000457247 3 2 6 0.00038223 -3 2 6 0.00260417 6 3 18 0.000839183 -6 2 12 0.000604424 7 3 21 0.000836243 12 4 48 0.000793258 Exact 0.000793651 Monomial exponents: 3 4 0 1 1 1 0.000457247 3 2 6 0.00038223 -3 2 6 0.00260417 6 3 18 0.000839183 -6 2 12 0.000604424 7 3 21 0.000836243 12 4 48 0.000793258 Exact 0.000793651 Monomial exponents: 2 5 0 1 1 1 0.000457247 3 2 6 0.00123957 -3 2 6 0.00260417 6 3 18 0.00116601 -6 2 12 0.00137603 7 3 21 0.00120337 12 4 48 0.00132393 Exact 0.00132275 Monomial exponents: 1 6 0 1 1 1 0.000457247 3 2 6 0.00488326 -3 2 6 0.00260417 6 3 18 0.00396475 -6 2 12 0.00465535 7 3 21 0.00414042 12 4 48 0.0039655 Exact 0.00396825 Monomial exponents: 0 7 0 1 1 1 0.000457247 3 2 6 0.0195116 -3 2 6 0.00520833 6 3 18 0.0282473 -6 2 12 0.0180813 7 3 21 0.0272697 12 4 48 0.0277833 Exact 0.0277778 Monomial exponents: 5 0 2 1 1 1 0 3 2 6 0.0146605 -3 2 6 0.00694444 6 3 18 0.0159567 -6 2 12 0.0138889 7 3 21 0.015873 12 4 48 0.015873 Exact 0.015873 Monomial exponents: 4 1 2 1 1 1 0 3 2 6 0.00372942 -3 2 6 0.00347222 6 3 18 0.00313275 -6 2 12 0.0037037 7 3 21 0.0031746 12 4 48 0.0031746 Exact 0.0031746 Monomial exponents: 3 2 2 1 1 1 0 3 2 6 0.00115741 -3 2 6 0.00347222 6 3 18 0.00159567 -6 2 12 0.00138889 7 3 21 0.0015873 12 4 48 0.0015873 Exact 0.0015873 Monomial exponents: 2 3 2 1 1 1 0 3 2 6 0.00115741 -3 2 6 0.00347222 6 3 18 0.00159567 -6 2 12 0.00138889 7 3 21 0.0015873 12 4 48 0.0015873 Exact 0.0015873 Monomial exponents: 1 4 2 1 1 1 0 3 2 6 0.00372942 -3 2 6 0.00347222 6 3 18 0.00313275 -6 2 12 0.0037037 7 3 21 0.0031746 12 4 48 0.0031746 Exact 0.0031746 Monomial exponents: 0 5 2 1 1 1 0 3 2 6 0.0146605 -3 2 6 0.00694444 6 3 18 0.0159567 -6 2 12 0.0138889 7 3 21 0.015873 12 4 48 0.015873 Exact 0.015873 Monomial exponents: 3 0 4 1 1 1 0 3 2 6 0.0113169 -3 2 6 0.00925926 6 3 18 0.02 -6 2 12 0.0111111 7 3 21 0.02 12 4 48 0.02 Exact 0.02 Monomial exponents: 2 1 4 1 1 1 0 3 2 6 0.00360082 -3 2 6 0.00462963 6 3 18 0.00666667 -6 2 12 0.0037037 7 3 21 0.00666667 12 4 48 0.00666667 Exact 0.00666667 Monomial exponents: 1 2 4 1 1 1 0 3 2 6 0.00360082 -3 2 6 0.00462963 6 3 18 0.00666667 -6 2 12 0.0037037 7 3 21 0.00666667 12 4 48 0.00666667 Exact 0.00666667 Monomial exponents: 0 3 4 1 1 1 0 3 2 6 0.0113169 -3 2 6 0.00925926 6 3 18 0.02 -6 2 12 0.0111111 7 3 21 0.02 12 4 48 0.02 Exact 0.02 Monomial exponents: 1 0 6 1 1 1 0 3 2 6 0.0123457 -3 2 6 0.0123457 6 3 18 0.04 -6 2 12 0.0123457 7 3 21 0.04 12 4 48 0.047619 Exact 0.047619 Monomial exponents: 0 1 6 1 1 1 0 3 2 6 0.0123457 -3 2 6 0.0123457 6 3 18 0.04 -6 2 12 0.0123457 7 3 21 0.04 12 4 48 0.047619 Exact 0.047619 Monomial exponents: 8 0 0 1 1 1 0.000152416 3 2 6 0.0130065 -3 2 6 0.00260417 6 3 18 0.0224925 -6 2 12 0.0119663 7 3 21 0.0212578 12 4 48 0.022232 Exact 0.0222222 Monomial exponents: 7 1 0 1 1 1 0.000152416 3 2 6 0.00325253 -3 2 6 0.00130208 6 3 18 0.0028774 -6 2 12 0.00305748 7 3 21 0.00300592 12 4 48 0.00277565 Exact 0.00277778 Monomial exponents: 6 2 0 1 1 1 0.000152416 3 2 6 0.000816258 -3 2 6 0.00130208 6 3 18 0.000643962 -6 2 12 0.000864841 7 3 21 0.000687699 12 4 48 0.000790654 Exact 0.000793651 Monomial exponents: 5 3 0 1 1 1 0.000152416 3 2 6 0.000216121 -3 2 6 0.00130208 6 3 18 0.000385766 -6 2 12 0.000324717 7 3 21 0.00039384 12 4 48 0.000401403 Exact 0.000396825 Monomial exponents: 4 4 0 1 1 1 0.000152416 3 2 6 0.000101809 -3 2 6 0.00130208 6 3 18 0.000358701 -6 2 12 0.000221836 7 3 21 0.000361189 12 4 48 0.000312252 Exact 0.00031746 Monomial exponents: 3 5 0 1 1 1 0.000152416 3 2 6 0.000216121 -3 2 6 0.00130208 6 3 18 0.000385766 -6 2 12 0.000324717 7 3 21 0.00039384 12 4 48 0.000401403 Exact 0.000396825 Monomial exponents: 2 6 0 1 1 1 0.000152416 3 2 6 0.000816258 -3 2 6 0.00130208 6 3 18 0.000643962 -6 2 12 0.000864841 7 3 21 0.000687699 12 4 48 0.000790654 Exact 0.000793651 Monomial exponents: 1 7 0 1 1 1 0.000152416 3 2 6 0.00325253 -3 2 6 0.00130208 6 3 18 0.0028774 -6 2 12 0.00305748 7 3 21 0.00300592 12 4 48 0.00277565 Exact 0.00277778 Monomial exponents: 0 8 0 1 1 1 0.000152416 3 2 6 0.0130065 -3 2 6 0.00260417 6 3 18 0.0224925 -6 2 12 0.0119663 7 3 21 0.0212578 12 4 48 0.022232 Exact 0.0222222 Monomial exponents: 6 0 2 1 1 1 0 3 2 6 0.00975937 -3 2 6 0.00347222 6 3 18 0.0120589 -6 2 12 0.00913066 7 3 21 0.0118502 12 4 48 0.0119048 Exact 0.0119048 Monomial exponents: 5 1 2 1 1 1 0 3 2 6 0.00245056 -3 2 6 0.00173611 6 3 18 0.0019489 -6 2 12 0.00237912 7 3 21 0.00201142 12 4 48 0.00198413 Exact 0.00198413 Monomial exponents: 4 2 2 1 1 1 0 3 2 6 0.000650149 -3 2 6 0.00173611 6 3 18 0.000760662 -6 2 12 0.000758745 7 3 21 0.000764256 12 4 48 0.000793651 Exact 0.000793651 Monomial exponents: 3 3 2 1 1 1 0 3 2 6 0.000307213 -3 2 6 0.00173611 6 3 18 0.000633033 -6 2 12 0.000450103 7 3 21 0.000625682 12 4 48 0.000595238 Exact 0.000595238 Monomial exponents: 2 4 2 1 1 1 0 3 2 6 0.000650149 -3 2 6 0.00173611 6 3 18 0.000760662 -6 2 12 0.000758745 7 3 21 0.000764256 12 4 48 0.000793651 Exact 0.000793651 Monomial exponents: 1 5 2 1 1 1 0 3 2 6 0.00245056 -3 2 6 0.00173611 6 3 18 0.0019489 -6 2 12 0.00237912 7 3 21 0.00201142 12 4 48 0.00198413 Exact 0.00198413 Monomial exponents: 0 6 2 1 1 1 0 3 2 6 0.00975937 -3 2 6 0.00347222 6 3 18 0.0120589 -6 2 12 0.00913066 7 3 21 0.0118502 12 4 48 0.0119048 Exact 0.0119048 Monomial exponents: 4 0 4 1 1 1 0 3 2 6 0.00737311 -3 2 6 0.00462963 6 3 18 0.0133333 -6 2 12 0.00709877 7 3 21 0.0133333 12 4 48 0.0133333 Exact 0.0133333 Monomial exponents: 3 1 4 1 1 1 0 3 2 6 0.00197188 -3 2 6 0.00231481 6 3 18 0.00333333 -6 2 12 0.00200617 7 3 21 0.00333333 12 4 48 0.00333333 Exact 0.00333333 Monomial exponents: 2 2 4 1 1 1 0 3 2 6 0.000943073 -3 2 6 0.00231481 6 3 18 0.00222222 -6 2 12 0.00108025 7 3 21 0.00222222 12 4 48 0.00222222 Exact 0.00222222 Monomial exponents: 1 3 4 1 1 1 0 3 2 6 0.00197188 -3 2 6 0.00231481 6 3 18 0.00333333 -6 2 12 0.00200617 7 3 21 0.00333333 12 4 48 0.00333333 Exact 0.00333333 Monomial exponents: 0 4 4 1 1 1 0 3 2 6 0.00737311 -3 2 6 0.00462963 6 3 18 0.0133333 -6 2 12 0.00709877 7 3 21 0.0133333 12 4 48 0.0133333 Exact 0.0133333 Monomial exponents: 2 0 6 1 1 1 0 3 2 6 0.00617284 -3 2 6 0.00617284 6 3 18 0.02 -6 2 12 0.00617284 7 3 21 0.02 12 4 48 0.0238095 Exact 0.0238095 Monomial exponents: 1 1 6 1 1 1 0 3 2 6 0.00308642 -3 2 6 0.00308642 6 3 18 0.01 -6 2 12 0.00308642 7 3 21 0.01 12 4 48 0.0119048 Exact 0.0119048 Monomial exponents: 0 2 6 1 1 1 0 3 2 6 0.00617284 -3 2 6 0.00617284 6 3 18 0.02 -6 2 12 0.00617284 7 3 21 0.02 12 4 48 0.0238095 Exact 0.0238095 Monomial exponents: 0 0 8 1 1 1 0 3 2 6 0.0123457 -3 2 6 0.0123457 6 3 18 0.072 -6 2 12 0.0123457 7 3 21 0.072 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 0 1 1 1 wedge_felippa_1x1_w.txt wedge_felippa_1x1_x.txt 1 3 2 6 wedge_felippa_3x2_w.txt wedge_felippa_3x2_x.txt 2 -3 2 6 wedge_felippa_3bx2_w.txt wedge_felippa_3bx2_x.txt 3 6 3 18 wedge_felippa_6x3_w.txt wedge_felippa_6x3_x.txt 4 -6 2 12 wedge_felippa_6bx2_w.txt wedge_felippa_6bx2_x.txt 5 7 3 21 wedge_felippa_7x3_w.txt wedge_felippa_7x3_x.txt 6 12 4 48 wedge_felippa_12x4_w.txt wedge_felippa_12x4_x.txt FELIPPA_PRB Normal end of execution. 22 December 2011 10:57:47 AM