16 February 2010 8:31:52.862 AM SPHERE_DESIGN_RULE_PRB FORTRAN90 version SPHERE_DESIGN_RULE is a set of routines for the evaluation of integrals of polynomials on a sphere. TEST01 DESIGN_QUAD can return the average value of a function F(X,Y,Z) at the points of a spherical design. For this test, we will use single polynomial terms. P(X,Y,Z) = 1 Order Quad Integral Exact: 12.5664 1 1.00000 12.5664 2 1.00000 12.5664 3 1.00000 12.5664 4 1.00000 12.5664 5 1.00000 12.5664 6 1.00000 12.5664 7 1.00000 12.5664 8 1.00000 12.5664 9 1.00000 12.5664 10 1.00000 12.5664 11 1.00000 12.5664 12 1.00000 12.5664 13 1.00000 12.5664 14 1.00000 12.5664 15 1.00000 12.5664 16 1.00000 12.5664 17 1.00000 12.5664 18 1.00000 12.5664 19 1.00000 12.5664 20 1.00000 12.5664 21 1.00000 12.5664 P(X,Y,Z) = X Order Quad Integral Exact: 0.00000 1 0.00000 0.00000 2 0.00000 0.00000 3 0.00000 0.00000 4 -0.237905E-16 -0.298960E-15 5 0.00000 0.00000 6 0.384308E-16 0.482936E-15 7 0.925186E-17 0.116262E-15 8 0.231296E-16 0.290656E-15 9 -0.462593E-17 -0.581311E-16 10 -0.471845E-16 -0.592938E-15 11 0.426246E-16 0.535637E-15 12 -0.991271E-16 -0.124567E-14 13 0.334396E-15 0.420214E-14 14 -0.165505E-15 -0.207980E-14 15 0.274642E-10 0.345125E-09 16 -0.298792E-10 -0.375474E-09 17 -0.951018E-11 -0.119508E-09 18 0.357122E-15 0.448772E-14 19 0.108845E-17 0.136779E-16 20 0.169617E-16 0.213148E-15 21 0.705917E-15 0.887081E-14 P(X,Y,Z) = Y Order Quad Integral Exact: 0.00000 1 0.00000 0.00000 2 0.00000 0.00000 3 0.00000 0.00000 4 0.158603E-16 0.199307E-15 5 0.00000 0.00000 6 0.150558E-09 0.189197E-08 7 0.925186E-17 0.116262E-15 8 0.616791E-17 0.775082E-16 9 -0.462593E-17 -0.581311E-16 10 -0.166533E-16 -0.209272E-15 11 0.269626E-16 0.338822E-15 12 -0.350249E-15 -0.440136E-14 13 -0.270617E-15 -0.340067E-14 14 -0.400914E-16 -0.503803E-15 15 0.383147E-11 0.481477E-10 16 0.112370E-10 0.141209E-09 17 0.124044E-10 0.155879E-09 18 0.197373E-16 0.248026E-15 19 0.683005E-16 0.858289E-15 20 -0.709309E-16 -0.891344E-15 21 0.132440E-14 0.166429E-13 P(X,Y,Z) = Z Order Quad Integral Exact: 0.00000 1 0.00000 0.00000 2 0.00000 0.00000 3 0.00000 0.00000 4 0.00000 0.00000 5 0.00000 0.00000 6 -0.170804E-16 -0.214638E-15 7 0.925186E-17 0.116262E-15 8 0.578241E-17 0.726639E-16 9 -0.462593E-17 -0.581311E-16 10 -0.115648E-16 -0.145328E-15 11 -0.888178E-16 -0.111612E-14 12 -0.553459E-16 -0.695498E-15 13 -0.449995E-15 -0.565480E-14 14 -0.303255E-16 -0.381082E-15 15 0.724611E-10 0.910573E-09 16 0.209881E-10 0.263744E-09 17 0.534762E-11 0.672002E-10 18 -0.641154E-15 -0.805698E-14 19 0.952397E-18 0.119682E-16 20 0.371841E-16 0.467269E-15 21 0.148284E-14 0.186339E-13 P(X,Y,Z) = X^2 Order Quad Integral Exact: 4.18879 1 0.00000 0.00000 2 0.333333 4.18879 3 0.00000 0.00000 4 0.190476 2.39359 5 0.00000 0.00000 6 0.333333 4.18879 7 0.333333 4.18879 8 0.333333 4.18879 9 0.333333 4.18879 10 0.333333 4.18879 11 0.333333 4.18879 12 0.333333 4.18879 13 0.333333 4.18879 14 0.333333 4.18879 15 0.333333 4.18879 16 0.333333 4.18879 17 0.333333 4.18879 18 0.333333 4.18879 19 0.333333 4.18879 20 0.333333 4.18879 21 0.333333 4.18879 P(X,Y,Z) = Y^2 Z^2 Order Quad Integral Exact: 0.837758 1 0.00000 0.00000 2 0.111111 1.39626 3 0.00000 0.00000 4 0.666667E-01 0.837758 5 0.00000 0.00000 6 0.666667E-01 0.837758 7 0.666667E-01 0.837758 8 0.666667E-01 0.837758 9 0.666667E-01 0.837758 10 0.666667E-01 0.837758 11 0.666667E-01 0.837758 12 0.666667E-01 0.837758 13 0.666667E-01 0.837758 14 0.666667E-01 0.837758 15 0.666667E-01 0.837758 16 0.666667E-01 0.837758 17 0.666667E-01 0.837758 18 0.666667E-01 0.837758 19 0.666667E-01 0.837758 20 0.666667E-01 0.837758 21 0.666667E-01 0.837758 P(X,Y,Z) = X^2 Y^2 Z^2 Order Quad Integral Exact: 0.119680 1 0.00000 0.00000 2 0.370370E-01 0.465421 3 0.00000 0.00000 4 0.119342E-01 0.149969 5 0.00000 0.00000 6 0.952381E-02 0.119680 7 0.952381E-02 0.119680 8 0.952381E-02 0.119680 9 0.952381E-02 0.119680 10 0.952381E-02 0.119680 11 0.952381E-02 0.119680 12 0.952381E-02 0.119680 13 0.952381E-02 0.119680 14 0.952381E-02 0.119680 15 0.952381E-02 0.119680 16 0.952381E-02 0.119680 17 0.952381E-02 0.119680 18 0.952381E-02 0.119680 19 0.952381E-02 0.119680 20 0.952381E-02 0.119680 21 0.952381E-02 0.119680 P(X,Y,Z) = Y^2 Z^4 Order Quad Integral Exact: 0.359039 1 0.00000 0.00000 2 0.370370E-01 0.465421 3 0.00000 0.00000 4 0.192387E-01 0.241760 5 0.00000 0.00000 6 0.285714E-01 0.359039 7 0.285714E-01 0.359039 8 0.285714E-01 0.359039 9 0.285714E-01 0.359039 10 0.285714E-01 0.359039 11 0.285714E-01 0.359039 12 0.285714E-01 0.359039 13 0.285714E-01 0.359039 14 0.285714E-01 0.359039 15 0.285714E-01 0.359039 16 0.285714E-01 0.359039 17 0.285714E-01 0.359039 18 0.285714E-01 0.359039 19 0.285714E-01 0.359039 20 0.285714E-01 0.359039 21 0.285714E-01 0.359039 P(X,Y,Z) = Z^6 Order Quad Integral Exact: 1.79520 1 0.00000 0.00000 2 0.370370E-01 0.465421 3 0.00000 0.00000 4 0.144959 1.82161 5 0.00000 0.00000 6 0.659341E-01 0.828552 7 0.142857 1.79520 8 0.142857 1.79520 9 0.142857 1.79520 10 0.142857 1.79520 11 0.142857 1.79520 12 0.142857 1.79520 13 0.142857 1.79520 14 0.142857 1.79520 15 0.142857 1.79520 16 0.142857 1.79520 17 0.142857 1.79520 18 0.142857 1.79520 19 0.142857 1.79520 20 0.142857 1.79520 21 0.142857 1.79520 P(X,Y,Z) = X Y^2 Z^4 Order Quad Integral Exact: 0.00000 1 0.00000 0.00000 2 0.00000 0.00000 3 0.00000 0.00000 4 0.00000 0.00000 5 0.00000 0.00000 6 -0.135609E-16 -0.170411E-15 7 0.00000 0.00000 8 0.421740E-18 0.529974E-17 9 -0.722801E-19 -0.908299E-18 10 0.355054E-17 0.446174E-16 11 0.433681E-17 0.544979E-16 12 -0.212178E-17 -0.266630E-16 13 -0.139144E-16 -0.174854E-15 14 -0.245752E-17 -0.308822E-16 15 0.167301E-12 0.210237E-11 16 0.373556E-12 0.469424E-11 17 0.147008E-11 0.184735E-10 18 0.251955E-12 0.316615E-11 19 0.711670E-17 0.894311E-16 20 0.321929E-17 0.404548E-16 21 0.186125E-12 0.233892E-11 P(X,Y,Z) = X^2 Y^4 Z^2 Order Quad Integral Exact: 0.398932E-01 1 0.00000 0.00000 2 0.123457E-01 0.155140 3 0.00000 0.00000 4 0.534294E-02 0.671413E-01 5 0.00000 0.00000 6 0.334450E-02 0.420282E-01 7 0.317460E-02 0.398932E-01 8 0.317460E-02 0.398932E-01 9 0.317460E-02 0.398932E-01 10 0.317460E-02 0.398932E-01 11 0.317460E-02 0.398932E-01 12 0.317460E-02 0.398932E-01 13 0.317460E-02 0.398932E-01 14 0.317460E-02 0.398932E-01 15 0.317460E-02 0.398932E-01 16 0.317460E-02 0.398932E-01 17 0.317460E-02 0.398932E-01 18 0.317460E-02 0.398932E-01 19 0.317460E-02 0.398932E-01 20 0.317460E-02 0.398932E-01 21 0.317460E-02 0.398932E-01 P(X,Y,Z) = X^6 Y^2 Order Quad Integral Exact: 0.199466 1 0.00000 0.00000 2 0.123457E-01 0.155140 3 0.00000 0.00000 4 0.627343E-02 0.788343E-01 5 0.00000 0.00000 6 0.163429E-01 0.205371 7 0.184127E-01 0.231381 8 0.158730E-01 0.199466 9 0.158730E-01 0.199466 10 0.158730E-01 0.199466 11 0.158730E-01 0.199466 12 0.158730E-01 0.199466 13 0.158730E-01 0.199466 14 0.158730E-01 0.199466 15 0.158730E-01 0.199466 16 0.158730E-01 0.199466 17 0.158730E-01 0.199466 18 0.158730E-01 0.199466 19 0.158730E-01 0.199466 20 0.158730E-01 0.199466 21 0.158730E-01 0.199466 P(X,Y,Z) = Z^8 Order Quad Integral Exact: 1.39626 1 0.00000 0.00000 2 0.123457E-01 0.155140 3 0.00000 0.00000 4 0.114882 1.44365 5 0.00000 0.00000 6 0.371421E-01 0.466742 7 0.106032 1.33243 8 0.111111 1.39626 9 0.111111 1.39626 10 0.111111 1.39626 11 0.111111 1.39626 12 0.111111 1.39626 13 0.111111 1.39626 14 0.111111 1.39626 15 0.111111 1.39626 16 0.111111 1.39626 17 0.111111 1.39626 18 0.111111 1.39626 19 0.111111 1.39626 20 0.111111 1.39626 21 0.111111 1.39626 P(X,Y,Z) = X^6 Z^4 Order Quad Integral Exact: 0.543999E-01 1 0.00000 0.00000 2 0.411523E-02 0.517135E-01 3 0.00000 0.00000 4 0.306965E-02 0.385744E-01 5 0.00000 0.00000 6 0.502197E-02 0.631079E-01 7 0.317460E-02 0.398932E-01 8 0.373054E-02 0.468794E-01 9 0.431197E-02 0.541859E-01 10 0.432900E-02 0.543999E-01 11 0.432900E-02 0.543999E-01 12 0.432900E-02 0.543999E-01 13 0.432900E-02 0.543999E-01 14 0.432900E-02 0.543999E-01 15 0.432900E-02 0.543999E-01 16 0.432900E-02 0.543999E-01 17 0.432900E-02 0.543999E-01 18 0.432900E-02 0.543999E-01 19 0.432900E-02 0.543999E-01 20 0.432900E-02 0.543999E-01 21 0.432900E-02 0.543999E-01 P(X,Y,Z) = X^4 Y^6 Z^2 Order Quad Integral Exact: 0.418461E-02 1 0.00000 0.00000 2 0.137174E-02 0.172378E-01 3 0.00000 0.00000 4 0.582000E-03 0.731362E-02 5 0.00000 0.00000 6 0.267207E-03 0.335783E-02 7 0.272109E-03 0.341942E-02 8 0.295523E-03 0.371366E-02 9 0.363121E-03 0.456312E-02 10 0.320098E-03 0.402248E-02 11 0.349753E-03 0.439512E-02 12 0.333000E-03 0.418461E-02 13 0.333000E-03 0.418461E-02 14 0.333000E-03 0.418461E-02 15 0.333000E-03 0.418461E-02 16 0.333000E-03 0.418461E-02 17 0.333000E-03 0.418461E-02 18 0.333000E-03 0.418461E-02 19 0.333000E-03 0.418461E-02 20 0.333000E-03 0.418461E-02 21 0.333000E-03 0.418461E-02 P(X,Y,Z) = X^2 Y^4 Z^8 Order Quad Integral Exact: 0.195282E-02 1 0.00000 0.00000 2 0.457247E-03 0.574594E-02 3 0.00000 0.00000 4 0.113222E-03 0.142279E-02 5 0.00000 0.00000 6 0.261349E-03 0.328421E-02 7 0.175359E-03 0.220363E-02 8 0.126167E-03 0.158546E-02 9 0.163846E-03 0.205895E-02 10 0.149294E-03 0.187608E-02 11 0.160835E-03 0.202111E-02 12 0.155122E-03 0.194932E-02 13 0.154462E-03 0.194102E-02 14 0.155400E-03 0.195282E-02 15 0.155400E-03 0.195282E-02 16 0.155400E-03 0.195282E-02 17 0.155400E-03 0.195282E-02 18 0.155400E-03 0.195282E-02 19 0.155400E-03 0.195282E-02 20 0.155400E-03 0.195282E-02 21 0.155400E-03 0.195282E-02 P(X,Y,Z) = X^16 Order Quad Integral Exact: 0.739198 1 0.00000 0.00000 2 0.152416E-03 0.191531E-02 3 0.00000 0.00000 4 0.104959E-03 0.131896E-02 5 0.00000 0.00000 6 0.618135E-01 0.776771 7 0.335081E-01 0.421075 8 0.595666E-01 0.748536 9 0.560714E-01 0.704614 10 0.582032E-01 0.731402 11 0.589471E-01 0.740752 12 0.588362E-01 0.739357 13 0.587710E-01 0.738539 14 0.588201E-01 0.739155 15 0.588206E-01 0.739161 16 0.588235E-01 0.739198 17 0.588235E-01 0.739198 18 0.588235E-01 0.739198 19 0.588235E-01 0.739198 20 0.588235E-01 0.739198 21 0.588235E-01 0.739198 TEST02 DESIGN_QUAD can return the average value of a function F(X,Y,Z) at the points of a spherical design. For this test, we will use single polynomial terms. The sphere will have a non-unit radius of R = 2.00000 The sphere will have a nonzero center of: 1.00000 2.00000 3.00000 P(X,Y,Z) = 1 Order Quad Integral 1 4.00000 201.062 2 4.00000 201.062 3 4.00000 201.062 4 4.00000 201.062 5 4.00000 201.062 6 4.00000 201.062 7 4.00000 201.062 8 4.00000 201.062 9 4.00000 201.062 10 4.00000 201.062 11 4.00000 201.062 12 4.00000 201.062 13 4.00000 201.062 14 4.00000 201.062 15 4.00000 201.062 16 4.00000 201.062 17 4.00000 201.062 18 4.00000 201.062 19 4.00000 201.062 20 4.00000 201.062 21 4.00000 201.062 P(X,Y,Z) = X Order Quad Integral 1 4.00000 201.062 2 4.00000 201.062 3 3.33333 167.552 4 4.00000 201.062 5 4.00000 201.062 6 4.00000 201.062 7 4.00000 201.062 8 4.00000 201.062 9 4.00000 201.062 10 4.00000 201.062 11 4.00000 201.062 12 4.00000 201.062 13 4.00000 201.062 14 4.00000 201.062 15 4.00000 201.062 16 4.00000 201.062 17 4.00000 201.062 18 4.00000 201.062 19 4.00000 201.062 20 4.00000 201.062 21 4.00000 201.062 P(X,Y,Z) = Y Order Quad Integral 1 8.00000 402.124 2 8.00000 402.124 3 8.00000 402.124 4 8.00000 402.124 5 8.00000 402.124 6 8.00000 402.124 7 8.00000 402.124 8 8.00000 402.124 9 8.00000 402.124 10 8.00000 402.124 11 8.00000 402.124 12 8.00000 402.124 13 8.00000 402.124 14 8.00000 402.124 15 8.00000 402.124 16 8.00000 402.124 17 8.00000 402.124 18 8.00000 402.124 19 8.00000 402.124 20 8.00000 402.124 21 8.00000 402.124 P(X,Y,Z) = Z Order Quad Integral 1 12.0000 603.186 2 12.0000 603.186 3 10.0000 502.655 4 12.0000 603.186 5 12.0000 603.186 6 12.0000 603.186 7 12.0000 603.186 8 12.0000 603.186 9 12.0000 603.186 10 12.0000 603.186 11 12.0000 603.186 12 12.0000 603.186 13 12.0000 603.186 14 12.0000 603.186 15 12.0000 603.186 16 12.0000 603.186 17 12.0000 603.186 18 12.0000 603.186 19 12.0000 603.186 20 12.0000 603.186 21 12.0000 603.186 P(X,Y,Z) = X^2 Order Quad Integral 1 20.0000 1005.31 2 9.33333 469.145 3 8.66667 435.634 4 9.33333 469.145 5 9.33333 469.145 6 9.33333 469.145 7 9.33333 469.145 8 9.33333 469.145 9 9.33333 469.145 10 9.33333 469.145 11 9.33333 469.145 12 9.33333 469.145 13 9.33333 469.145 14 9.33333 469.145 15 9.33333 469.145 16 9.33333 469.145 17 9.33333 469.145 18 9.33333 469.145 19 9.33333 469.145 20 9.33333 469.145 21 9.33333 469.145 P(X,Y,Z) = Y^2 Z^2 Order Quad Integral 1 144.000 7238.23 2 220.444 11080.7 3 213.333 10723.3 4 217.600 10937.8 5 217.600 10937.8 6 217.600 10937.8 7 217.600 10937.8 8 217.600 10937.8 9 217.600 10937.8 10 217.600 10937.8 11 217.600 10937.8 12 217.600 10937.8 13 217.600 10937.8 14 217.600 10937.8 15 217.600 10937.8 16 217.600 10937.8 17 217.600 10937.8 18 217.600 10937.8 19 217.600 10937.8 20 217.600 10937.8 21 217.600 10937.8 P(X,Y,Z) = X^2 Y^2 Z^2 Order Quad Integral 1 720.000 36191.1 2 809.974 40713.7 3 405.333 20374.3 4 472.767 23763.8 5 465.067 23376.8 6 467.505 23499.4 7 467.505 23499.4 8 467.505 23499.4 9 467.505 23499.4 10 467.505 23499.4 11 467.505 23499.4 12 467.505 23499.4 13 467.505 23499.4 14 467.505 23499.4 15 467.505 23499.4 16 467.505 23499.4 17 467.505 23499.4 18 467.505 23499.4 19 467.505 23499.4 20 467.505 23499.4 21 467.505 23499.4 P(X,Y,Z) = Y^2 Z^4 Order Quad Integral 1 1296.00 65144.1 2 3301.93 165973. 3 2965.33 149054. 4 3163.04 158992. 5 3173.95 159540. 6 3168.91 159287. 7 3168.91 159287. 8 3168.91 159287. 9 3168.91 159287. 10 3168.91 159287. 11 3168.91 159287. 12 3168.91 159287. 13 3168.91 159287. 14 3168.91 159287. 15 3168.91 159287. 16 3168.91 159287. 17 3168.91 159287. 18 3168.91 159287. 19 3168.91 159287. 20 3168.91 159287. 21 3168.91 159287. P(X,Y,Z) = X Y^2 Z^4 Order Quad Integral 1 1296.00 65144.1 2 6356.49 319512. 3 2965.33 149054. 4 3168.29 159256. 5 3173.95 159540. 6 3168.91 159287. 7 3168.91 159287. 8 3168.91 159287. 9 3168.91 159287. 10 3168.91 159287. 11 3168.91 159287. 12 3168.91 159287. 13 3168.91 159287. 14 3168.91 159287. 15 3168.91 159287. 16 3168.91 159287. 17 3168.91 159287. 18 3168.91 159287. 19 3168.91 159287. 20 3168.91 159287. 21 3168.91 159287. P(X,Y,Z) = X^2 Y^4 Z^2 Order Quad Integral 1 2880.00 144765. 2 7953.89 399806. 3 2773.33 139403. 4 3931.30 197609. 5 3904.66 196270. 6 3921.55 197118. 7 3923.71 197227. 8 3923.71 197227. 9 3923.71 197227. 10 3923.71 197227. 11 3923.71 197227. 12 3923.71 197227. 13 3923.71 197227. 14 3923.71 197227. 15 3923.71 197227. 16 3923.71 197227. 17 3923.71 197227. 18 3923.71 197227. 19 3923.71 197227. 20 3923.71 197227. 21 3923.71 197227. P(X,Y,Z) = X^6 Y^2 Order Quad Integral 1 5840.00 293550. 2 1067.46 53656.2 3 1962.67 98654.4 4 1418.48 71300.6 5 1385.84 69659.8 6 1448.69 72819.3 7 1448.19 72793.9 8 1445.59 72663.1 9 1445.59 72663.1 10 1445.59 72663.1 11 1445.59 72663.1 12 1445.59 72663.1 13 1445.59 72663.1 14 1445.59 72663.1 15 1445.59 72663.1 16 1445.59 72663.1 17 1445.59 72663.1 18 1445.59 72663.1 19 1445.59 72663.1 20 1445.59 72663.1 21 1445.59 72663.1 P(X,Y,Z) = Z^8 Order Quad Integral 1 26244.0 0.131917E+07 2 177830. 0.893871E+07 3 273539. 0.137496E+08 4 217153. 0.109153E+08 5 216381. 0.108765E+08 6 217017. 0.109085E+08 7 217009. 0.109080E+08 8 217014. 0.109083E+08 9 217014. 0.109083E+08 10 217014. 0.109083E+08 11 217014. 0.109083E+08 12 217014. 0.109083E+08 13 217014. 0.109083E+08 14 217014. 0.109083E+08 15 217014. 0.109083E+08 16 217014. 0.109083E+08 17 217014. 0.109083E+08 18 217014. 0.109083E+08 19 217014. 0.109083E+08 20 217014. 0.109083E+08 21 217014. 0.109083E+08 P(X,Y,Z) = X^6 Z^4 Order Quad Integral 1 118260. 0.594440E+07 2 30978.5 0.155715E+07 3 39891.3 0.200516E+07 4 34686.6 0.174354E+07 5 41126.0 0.206722E+07 6 36246.7 0.182196E+07 7 36247.8 0.182201E+07 8 36148.7 0.181703E+07 9 36151.0 0.181715E+07 10 36151.1 0.181715E+07 11 36151.1 0.181715E+07 12 36151.1 0.181715E+07 13 36151.1 0.181715E+07 14 36151.1 0.181715E+07 15 36151.1 0.181715E+07 16 36151.1 0.181715E+07 17 36151.1 0.181715E+07 18 36151.1 0.181715E+07 19 36151.1 0.181715E+07 20 36151.1 0.181715E+07 21 36151.1 0.181715E+07 P(X,Y,Z) = X^4 Y^6 Z^2 Order Quad Integral 1 94464.0 0.474828E+07 2 366784. 0.184366E+08 3 57173.3 0.287385E+07 4 136036. 0.683789E+07 5 166087. 0.834842E+07 6 156158. 0.784936E+07 7 155858. 0.783428E+07 8 157705. 0.792710E+07 9 157615. 0.792261E+07 10 157608. 0.792226E+07 11 157609. 0.792229E+07 12 157609. 0.792228E+07 13 157609. 0.792228E+07 14 157609. 0.792228E+07 15 157609. 0.792228E+07 16 157609. 0.792228E+07 17 157609. 0.792228E+07 18 157609. 0.792228E+07 19 157609. 0.792228E+07 20 157609. 0.792228E+07 21 157609. 0.792228E+07 P(X,Y,Z) = X^2 Y^4 Z^8 Order Quad Integral 1 0.209952E+07 0.105533E+09 2 0.408265E+08 0.205217E+10 3 0.598626E+07 0.300902E+09 4 0.141220E+08 0.709848E+09 5 0.117143E+08 0.588825E+09 6 0.132315E+08 0.665086E+09 7 0.129345E+08 0.650160E+09 8 0.129643E+08 0.651658E+09 9 0.129527E+08 0.651073E+09 10 0.129534E+08 0.651110E+09 11 0.129535E+08 0.651116E+09 12 0.129535E+08 0.651114E+09 13 0.129535E+08 0.651114E+09 14 0.129535E+08 0.651114E+09 15 0.129535E+08 0.651114E+09 16 0.129535E+08 0.651114E+09 17 0.129535E+08 0.651114E+09 18 0.129535E+08 0.651114E+09 19 0.129535E+08 0.651114E+09 20 0.129535E+08 0.651114E+09 21 0.129535E+08 0.651114E+09 TEST03 DTABLE_WRITE0 can write a sphere design rule to a file. Sphere design rule of 180 points written to "sphere_design_rule_18.txt". SPHERE_DESIGN_RULE_PRB Normal end of execution. 16 February 2010 8:31:52.901 AM