26 August 2014 9:51:56.438 PM TETRAHEDRON_FELIPPA_RULE_PRB FORTRAN90 version Test the TETRAHEDRON_FELIPPA_RULE library. TETRAHEDRON_UNIT_MONOMIAL_TEST For the unit tetrahedron, TETRAHEDRON_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 TETRAHEDRON_UNIT_QUAD_TEST For the unit tetrahedron, we approximate monomial integrals with: TETRAHEDRON_UNIT_O01, TETRAHEDRON_UNIT_O04, TETRAHEDRON_UNIT_O08, TETRAHEDRON_UNIT_O08b, TETRAHEDRON_UNIT_O14, TETRAHEDRON_UNIT_O14b, TETRAHEDRON_UNIT_O15, TETRAHEDRON_UNIT_O15b, TETRAHEDRON_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 TETRAHEDRON_FELIPPA_RULE_PRB Normal end of execution. 26 August 2014 9:51:56.442 PM