5 October 2012 9:04:16.983 AM TEST_INTERP_2D_PRB FORTRAN90 version Test the TEST_INTERP_2D library. The test requires access to the R8LIB library. TEST01 For each grid and function, print the title. GRIDS: Index Title 1 Franke's 100 node set 2 Franke's 33 node set 3 Lawson's 25 node set 4 Random 100 node set 5 Gridded 81 node set FUNCTIONS: Index Title 1 Exponential 2 Cliff 3 Saddle 4 Gentle 5 Steep 6 Sphere 7 Trig 8 Synergistic Gaussian 9 Cloverleaf Asymmetric Peak/Valley 10 Cosine Peak 11 Bilinear function 12 Vicente Romero function 13 Rescaled Runge function TEST02 Sample each function over each grid. 1 Exponential Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set 0.271963E-01 0.384169 1.16899 2 Franke's 33 node set 0.358696E-01 0.408824 1.18919 3 Lawson's 25 node set 0.494265E-01 0.405368 1.17104 4 Random 100 node set 0.320930E-01 0.422331 1.21823 5 Gridded 81 node set 0.358696E-01 0.387179 1.16528 2 Cliff Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set 0.121154E-08 0.109485 0.222222 2 Franke's 33 node set 0.338444E-08 0.106513 0.222222 3 Lawson's 25 node set 0.456891E-09 0.109461 0.222222 4 Random 100 node set 0.685077E-07 0.116311 0.222222 5 Gridded 81 node set 0.338444E-08 0.111111 0.222222 3 Saddle Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set 0.116548E-01 0.120464 0.367587 2 Franke's 33 node set 0.115309E-01 0.115052 0.302832 3 Lawson's 25 node set 0.720951E-02 0.118374 0.331042 4 Random 100 node set 0.886799E-02 0.125377 0.345073 5 Gridded 81 node set 0.923720E-02 0.121311 0.369231 4 Gentle Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set 0.196481E-01 0.144060 0.319591 2 Franke's 33 node set 0.265198E-01 0.134012 0.282764 3 Lawson's 25 node set 0.146295E-01 0.143215 0.330969 4 Random 100 node set 0.423356E-01 0.157611 0.330422 5 Gridded 81 node set 0.265198E-01 0.140879 0.333333 5 Steep Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set 0.402393E-05 0.430615E-01 0.281670 2 Franke's 33 node set 0.133551E-04 0.249386E-01 0.172607 3 Lawson's 25 node set 0.123676E-05 0.473504E-01 0.323975 4 Random 100 node set 0.867330E-04 0.490016E-01 0.321839 5 Gridded 81 node set 0.133551E-04 0.408404E-01 0.333333 6 Sphere Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set -0.194982E-01 0.262035 0.384199 2 Franke's 33 node set 0.386311E-01 0.253280 0.370416 3 Lawson's 25 node set -0.845220E-01 0.247394 0.388098 4 Random 100 node set 0.118478 0.281993 0.387914 5 Gridded 81 node set 0.386311E-01 0.257620 0.388889 7 Trig Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set -1.93814 0.242989 2.85287 2 Franke's 33 node set -1.91785 0.784131E-01 2.35649 3 Lawson's 25 node set -1.66577 0.375997 2.57474 4 Random 100 node set -1.81535 0.399934 2.90169 5 Gridded 81 node set -1.91785 0.225929 2.60109 8 Synergistic Gaussian Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set 0.187123E-05 0.433902 1.90434 2 Franke's 33 node set 0.652165E-05 0.327527 1.00001 3 Lawson's 25 node set 0.378324E-06 0.514013 2.39815 4 Random 100 node set 0.749176E-04 0.469512 2.37495 5 Gridded 81 node set 0.652165E-05 0.427157 2.50000 9 Cloverleaf Asymmetric Peak/Valley Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set -60.8626 1.43162 78.5894 2 Franke's 33 node set -44.6383 6.72271 77.2467 3 Lawson's 25 node set -50.7591 1.10930 49.4324 4 Random 100 node set -55.4822 0.683879 81.4924 5 Gridded 81 node set -59.9566 0.422077 78.0926 10 Cosine Peak Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set -0.446313 -0.428892E-02 0.341611 2 Franke's 33 node set -0.432844 -0.791245E-02 0.193855 3 Lawson's 25 node set -0.448155 -0.291070E-01 0.764125 4 Random 100 node set -0.447547 0.154400E-01 0.729230 5 Gridded 81 node set -0.444832 -0.174424E-02 1.00000 11 Bilinear function Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set -0.850905E-01 0.754275 1.94568 2 Franke's 33 node set 0.00000 0.843939 2.00000 3 Lawson's 25 node set -0.706250E-01 0.716452 1.81359 4 Random 100 node set 0.126025E-01 0.745831 1.84859 5 Gridded 81 node set 0.00000 0.750000 2.00000 12 Vicente Romero function Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set -0.143695 0.597256 1.83297 2 Franke's 33 node set 0.00000 0.649405 1.87271 3 Lawson's 25 node set -0.237135 0.531723 1.77404 4 Random 100 node set 0.173431E-01 0.629702 1.71310 5 Gridded 81 node set 0.00000 0.594760 1.87271 13 Rescaled Runge function Grid Title Min(F) Ave(F) Max(F) 1 Franke's 100 node set 0.175672E-01 0.914553E-01 0.545961 2 Franke's 33 node set 0.196078E-01 0.643983E-01 0.235294 3 Lawson's 25 node set 0.159362E-01 0.107878 0.876712 4 Random 100 node set 0.239459E-01 0.108257 0.852306 5 Gridded 81 node set 0.196078E-01 0.927931E-01 1.00000 TEST_INTERP_2D_PRB Normal end of execution. 5 October 2012 9:04:16.985 AM