15 October 2012 3:12:51.288 PM LAGRANGE_INTERP_2D_TEST: FORTRAN77 version Test the LAGRANGE_INTERP_2D library. The R8LIB library is needed. This test also needs the TEST_INTERP_2D library. LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 1 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.766421 2 1.00000 0.00000 0.107558 3 0.00000 1.00000 0.270337 4 1.00000 1.00000 0.358696E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.766421 2 1.00000 0.00000 0.107558 3 0.00000 1.00000 0.270337 4 1.00000 1.00000 0.358696E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.307159E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 1 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.766421 2 0.500000 0.00000 0.434914 3 1.00000 0.00000 0.107558 4 0.00000 0.500000 0.481806 5 0.500000 0.500000 0.325762 6 1.00000 0.500000 0.161026 7 0.00000 1.00000 0.270337 8 0.500000 1.00000 0.145979 9 1.00000 1.00000 0.358696E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.766421 2 0.500000 0.00000 0.434914 3 1.00000 0.00000 0.107558 4 0.00000 0.500000 0.481806 5 0.500000 0.500000 0.325762 6 1.00000 0.500000 0.161026 7 0.00000 1.00000 0.270337 8 0.500000 1.00000 0.145979 9 1.00000 1.00000 0.358696E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.184386 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 1 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.766421 2 0.250000 0.00000 0.818854 3 0.750000 0.00000 0.252062 4 1.00000 0.00000 0.107558 5 0.00000 0.250000 0.802583 6 0.250000 0.250000 1.16528 7 0.750000 0.250000 0.589359 8 1.00000 0.250000 0.230218 9 0.00000 0.750000 0.339527 10 0.250000 0.750000 0.272413 11 0.750000 0.750000 0.115970 12 1.00000 0.750000 0.503603E-01 13 0.00000 1.00000 0.270337 14 0.250000 1.00000 0.222240 15 0.750000 1.00000 0.810474E-01 16 1.00000 1.00000 0.358696E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.766421 2 0.250000 0.00000 0.818854 3 0.750000 0.00000 0.252062 4 1.00000 0.00000 0.107558 5 0.00000 0.250000 0.802583 6 0.250000 0.250000 1.16528 7 0.750000 0.250000 0.589359 8 1.00000 0.250000 0.230218 9 0.00000 0.750000 0.339527 10 0.250000 0.750000 0.272413 11 0.750000 0.750000 0.115970 12 1.00000 0.750000 0.503603E-01 13 0.00000 1.00000 0.270337 14 0.250000 1.00000 0.222240 15 0.750000 1.00000 0.810474E-01 16 1.00000 1.00000 0.358696E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.654890E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 1 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.201751E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 1 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.171259E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 2 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.111111 2 1.00000 0.00000 0.338444E-08 3 0.00000 1.00000 0.222222 4 1.00000 1.00000 0.111111 X, Y, Z interpolation: 1 0.00000 0.00000 0.111111 2 1.00000 0.00000 0.338444E-08 3 0.00000 1.00000 0.222222 4 1.00000 1.00000 0.111111 RMS data interpolation error = 0.00000 RMS data approximation error = 0.00000 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 2 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.111111 2 0.500000 0.00000 0.274210E-04 3 1.00000 0.00000 0.338444E-08 4 0.00000 0.500000 0.222195 5 0.500000 0.500000 0.111111 6 1.00000 0.500000 0.274210E-04 7 0.00000 1.00000 0.222222 8 0.500000 1.00000 0.222195 9 1.00000 1.00000 0.111111 X, Y, Z interpolation: 1 0.00000 0.00000 0.111111 2 0.500000 0.00000 0.274210E-04 3 1.00000 0.00000 0.338444E-08 4 0.00000 0.500000 0.222195 5 0.500000 0.500000 0.111111 6 1.00000 0.500000 0.274210E-04 7 0.00000 1.00000 0.222222 8 0.500000 1.00000 0.222195 9 1.00000 1.00000 0.111111 RMS data interpolation error = 0.00000 RMS data approximation error = 0.490804E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 2 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.111111 2 0.250000 0.00000 0.244154E-02 3 0.750000 0.00000 0.304657E-06 4 1.00000 0.00000 0.338444E-08 5 0.00000 0.250000 0.219781 6 0.250000 0.250000 0.111111 7 0.750000 0.250000 0.274210E-04 8 1.00000 0.250000 0.304657E-06 9 0.00000 0.750000 0.222222 10 0.250000 0.750000 0.222195 11 0.750000 0.750000 0.111111 12 1.00000 0.750000 0.244154E-02 13 0.00000 1.00000 0.222222 14 0.250000 1.00000 0.222222 15 0.750000 1.00000 0.219781 16 1.00000 1.00000 0.111111 X, Y, Z interpolation: 1 0.00000 0.00000 0.111111 2 0.250000 0.00000 0.244154E-02 3 0.750000 0.00000 0.304657E-06 4 1.00000 0.00000 0.338444E-08 5 0.00000 0.250000 0.219781 6 0.250000 0.250000 0.111111 7 0.750000 0.250000 0.274210E-04 8 1.00000 0.250000 0.304657E-06 9 0.00000 0.750000 0.222222 10 0.250000 0.750000 0.222195 11 0.750000 0.750000 0.111111 12 1.00000 0.750000 0.244154E-02 13 0.00000 1.00000 0.222222 14 0.250000 1.00000 0.222222 15 0.750000 1.00000 0.219781 16 1.00000 1.00000 0.111111 RMS data interpolation error = 0.00000 RMS data approximation error = 0.143279E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 2 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.930276E-03 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 2 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.109215E-03 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 3 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.187500 2 1.00000 0.00000 0.750000E-01 3 0.00000 1.00000 0.157058 4 1.00000 1.00000 0.628231E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.187500 2 1.00000 0.00000 0.750000E-01 3 0.00000 1.00000 0.157058 4 1.00000 1.00000 0.628231E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.744715E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 3 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.187500 2 0.500000 0.00000 0.300000 3 1.00000 0.00000 0.750000E-01 4 0.00000 0.500000 0.288273E-01 5 0.500000 0.500000 0.461237E-01 6 1.00000 0.500000 0.115309E-01 7 0.00000 1.00000 0.157058 8 0.500000 1.00000 0.251292 9 1.00000 1.00000 0.628231E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.187500 2 0.500000 0.00000 0.300000 3 1.00000 0.00000 0.750000E-01 4 0.00000 0.500000 0.288273E-01 5 0.500000 0.500000 0.461237E-01 6 1.00000 0.500000 0.115309E-01 7 0.00000 1.00000 0.157058 8 0.500000 1.00000 0.251292 9 1.00000 1.00000 0.628231E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.310920E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 3 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.187500 2 0.250000 0.00000 0.352941 3 0.750000 0.00000 0.146341 4 1.00000 0.00000 0.750000E-01 5 0.00000 0.250000 0.122417 6 0.250000 0.250000 0.230432 7 0.750000 0.250000 0.955451E-01 8 1.00000 0.250000 0.489669E-01 9 0.00000 0.750000 0.529165E-01 10 0.250000 0.750000 0.996075E-01 11 0.750000 0.750000 0.413007E-01 12 1.00000 0.750000 0.211666E-01 13 0.00000 1.00000 0.157058 14 0.250000 1.00000 0.295638 15 0.750000 1.00000 0.122582 16 1.00000 1.00000 0.628231E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.187500 2 0.250000 0.00000 0.352941 3 0.750000 0.00000 0.146341 4 1.00000 0.00000 0.750000E-01 5 0.00000 0.250000 0.122417 6 0.250000 0.250000 0.230432 7 0.750000 0.250000 0.955451E-01 8 1.00000 0.250000 0.489669E-01 9 0.00000 0.750000 0.529165E-01 10 0.250000 0.750000 0.996075E-01 11 0.750000 0.750000 0.413007E-01 12 1.00000 0.750000 0.211666E-01 13 0.00000 1.00000 0.157058 14 0.250000 1.00000 0.295638 15 0.750000 1.00000 0.122582 16 1.00000 1.00000 0.628231E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.994526E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 3 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.418505E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 3 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.105732E-03 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 4 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.265198E-01 2 1.00000 0.00000 0.265198E-01 3 0.00000 1.00000 0.265198E-01 4 1.00000 1.00000 0.265198E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.265198E-01 2 1.00000 0.00000 0.265198E-01 3 0.00000 1.00000 0.265198E-01 4 1.00000 1.00000 0.265198E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.306813 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 4 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.265198E-01 2 0.500000 0.00000 0.940210E-01 3 1.00000 0.00000 0.265198E-01 4 0.00000 0.500000 0.940210E-01 5 0.500000 0.500000 0.333333 6 1.00000 0.500000 0.940210E-01 7 0.00000 1.00000 0.265198E-01 8 0.500000 1.00000 0.940210E-01 9 1.00000 1.00000 0.265198E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.265198E-01 2 0.500000 0.00000 0.940210E-01 3 1.00000 0.00000 0.265198E-01 4 0.00000 0.500000 0.940210E-01 5 0.500000 0.500000 0.333333 6 1.00000 0.500000 0.940210E-01 7 0.00000 1.00000 0.265198E-01 8 0.500000 1.00000 0.940210E-01 9 1.00000 1.00000 0.265198E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.236917E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 4 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.265198E-01 2 0.250000 0.00000 0.685190E-01 3 0.750000 0.00000 0.685190E-01 4 1.00000 0.00000 0.265198E-01 5 0.00000 0.250000 0.685190E-01 6 0.250000 0.250000 0.177032 7 0.750000 0.250000 0.177032 8 1.00000 0.250000 0.685190E-01 9 0.00000 0.750000 0.685190E-01 10 0.250000 0.750000 0.177032 11 0.750000 0.750000 0.177032 12 1.00000 0.750000 0.685190E-01 13 0.00000 1.00000 0.265198E-01 14 0.250000 1.00000 0.685190E-01 15 0.750000 1.00000 0.685190E-01 16 1.00000 1.00000 0.265198E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.265198E-01 2 0.250000 0.00000 0.685190E-01 3 0.750000 0.00000 0.685190E-01 4 1.00000 0.00000 0.265198E-01 5 0.00000 0.250000 0.685190E-01 6 0.250000 0.250000 0.177032 7 0.750000 0.250000 0.177032 8 1.00000 0.250000 0.685190E-01 9 0.00000 0.750000 0.685190E-01 10 0.250000 0.750000 0.177032 11 0.750000 0.750000 0.177032 12 1.00000 0.750000 0.685190E-01 13 0.00000 1.00000 0.265198E-01 14 0.250000 1.00000 0.685190E-01 15 0.750000 1.00000 0.685190E-01 16 1.00000 1.00000 0.265198E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.945138E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 4 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.685056E-03 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 4 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.153585E-05 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 5 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.133551E-04 2 1.00000 0.00000 0.133551E-04 3 0.00000 1.00000 0.133551E-04 4 1.00000 1.00000 0.133551E-04 X, Y, Z interpolation: 1 0.00000 0.00000 0.133551E-04 2 1.00000 0.00000 0.133551E-04 3 0.00000 1.00000 0.133551E-04 4 1.00000 1.00000 0.133551E-04 RMS data interpolation error = 0.00000 RMS data approximation error = 0.333320 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 5 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.133551E-04 2 0.500000 0.00000 0.210991E-02 3 1.00000 0.00000 0.133551E-04 4 0.00000 0.500000 0.210991E-02 5 0.500000 0.500000 0.333333 6 1.00000 0.500000 0.210991E-02 7 0.00000 1.00000 0.133551E-04 8 0.500000 1.00000 0.210991E-02 9 1.00000 1.00000 0.133551E-04 X, Y, Z interpolation: 1 0.00000 0.00000 0.133551E-04 2 0.500000 0.00000 0.210991E-02 3 1.00000 0.00000 0.133551E-04 4 0.00000 0.500000 0.210991E-02 5 0.500000 0.500000 0.333333 6 1.00000 0.500000 0.210991E-02 7 0.00000 1.00000 0.133551E-04 8 0.500000 1.00000 0.210991E-02 9 1.00000 1.00000 0.133551E-04 RMS data interpolation error = 0.00000 RMS data approximation error = 0.808861E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 5 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.133551E-04 2 0.250000 0.00000 0.595126E-03 3 0.750000 0.00000 0.595126E-03 4 1.00000 0.00000 0.133551E-04 5 0.00000 0.250000 0.595126E-03 6 0.250000 0.250000 0.265198E-01 7 0.750000 0.250000 0.265198E-01 8 1.00000 0.250000 0.595126E-03 9 0.00000 0.750000 0.595126E-03 10 0.250000 0.750000 0.265198E-01 11 0.750000 0.750000 0.265198E-01 12 1.00000 0.750000 0.595126E-03 13 0.00000 1.00000 0.133551E-04 14 0.250000 1.00000 0.595126E-03 15 0.750000 1.00000 0.595126E-03 16 1.00000 1.00000 0.133551E-04 X, Y, Z interpolation: 1 0.00000 0.00000 0.133551E-04 2 0.250000 0.00000 0.595126E-03 3 0.750000 0.00000 0.595126E-03 4 1.00000 0.00000 0.133551E-04 5 0.00000 0.250000 0.595126E-03 6 0.250000 0.250000 0.265198E-01 7 0.750000 0.250000 0.265198E-01 8 1.00000 0.250000 0.595126E-03 9 0.00000 0.750000 0.595126E-03 10 0.250000 0.750000 0.265198E-01 11 0.750000 0.750000 0.265198E-01 12 1.00000 0.750000 0.595126E-03 13 0.00000 1.00000 0.133551E-04 14 0.250000 1.00000 0.595126E-03 15 0.750000 1.00000 0.595126E-03 16 1.00000 1.00000 0.133551E-04 RMS data interpolation error = 0.00000 RMS data approximation error = 0.319109E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 5 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.871518E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 5 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.210653E-03 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 6 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.386311E-01 2 1.00000 0.00000 0.386311E-01 3 0.00000 1.00000 0.386311E-01 4 1.00000 1.00000 0.386311E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.386311E-01 2 1.00000 0.00000 0.386311E-01 3 0.00000 1.00000 0.386311E-01 4 1.00000 1.00000 0.386311E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.350258 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 6 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.386311E-01 2 0.500000 0.00000 0.234931 3 1.00000 0.00000 0.386311E-01 4 0.00000 0.500000 0.234931 5 0.500000 0.500000 0.388889 6 1.00000 0.500000 0.234931 7 0.00000 1.00000 0.386311E-01 8 0.500000 1.00000 0.234931 9 1.00000 1.00000 0.386311E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.386311E-01 2 0.500000 0.00000 0.234931 3 1.00000 0.00000 0.386311E-01 4 0.00000 0.500000 0.234931 5 0.500000 0.500000 0.388889 6 1.00000 0.500000 0.234931 7 0.00000 1.00000 0.386311E-01 8 0.500000 1.00000 0.234931 9 1.00000 1.00000 0.386311E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.314374E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 6 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.386311E-01 2 0.250000 0.00000 0.191103 3 0.750000 0.00000 0.191103 4 1.00000 0.00000 0.386311E-01 5 0.00000 0.250000 0.191103 6 0.250000 0.250000 0.315551 7 0.750000 0.250000 0.315551 8 1.00000 0.250000 0.191103 9 0.00000 0.750000 0.191103 10 0.250000 0.750000 0.315551 11 0.750000 0.750000 0.315551 12 1.00000 0.750000 0.191103 13 0.00000 1.00000 0.386311E-01 14 0.250000 1.00000 0.191103 15 0.750000 1.00000 0.191103 16 1.00000 1.00000 0.386311E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.386311E-01 2 0.250000 0.00000 0.191103 3 0.750000 0.00000 0.191103 4 1.00000 0.00000 0.386311E-01 5 0.00000 0.250000 0.191103 6 0.250000 0.250000 0.315551 7 0.750000 0.250000 0.315551 8 1.00000 0.250000 0.191103 9 0.00000 0.750000 0.191103 10 0.250000 0.750000 0.315551 11 0.750000 0.750000 0.315551 12 1.00000 0.750000 0.191103 13 0.00000 1.00000 0.386311E-01 14 0.250000 1.00000 0.191103 15 0.750000 1.00000 0.191103 16 1.00000 1.00000 0.386311E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.173866E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 6 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.836377E-04 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 6 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.356374E-06 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 7 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.00000 2 1.00000 0.00000 0.00000 3 0.00000 1.00000 -1.08804 4 1.00000 1.00000 0.368924 X, Y, Z interpolation: 1 0.00000 0.00000 0.00000 2 1.00000 0.00000 0.00000 3 0.00000 1.00000 -1.08804 4 1.00000 1.00000 0.368924 RMS data interpolation error = 0.00000 RMS data approximation error = 0.234231 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 7 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.00000 2 0.500000 0.00000 0.00000 3 1.00000 0.00000 0.00000 4 0.00000 0.500000 -1.91785 5 0.500000 0.500000 0.544510E-01 6 1.00000 0.500000 0.650288 7 0.00000 1.00000 -1.08804 8 0.500000 1.00000 -1.26756 9 1.00000 1.00000 0.368924 X, Y, Z interpolation: 1 0.00000 0.00000 0.00000 2 0.500000 0.00000 0.00000 3 1.00000 0.00000 0.00000 4 0.00000 0.500000 -1.91785 5 0.500000 0.500000 0.544510E-01 6 1.00000 0.500000 0.650288 7 0.00000 1.00000 -1.08804 8 0.500000 1.00000 -1.26756 9 1.00000 1.00000 0.368924 RMS data interpolation error = 0.00000 RMS data approximation error = 0.262760 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 7 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.00000 2 0.250000 0.00000 0.00000 3 0.750000 0.00000 0.00000 4 1.00000 0.00000 0.00000 5 0.00000 0.250000 1.19694 6 0.250000 0.250000 -0.373827 7 0.750000 0.250000 1.36899 8 1.00000 0.250000 -0.405850 9 0.00000 0.750000 1.87600 10 0.250000 0.750000 -0.548860 11 0.750000 0.750000 0.386056E-01 12 1.00000 0.750000 -0.636098 13 0.00000 1.00000 -1.08804 14 0.250000 1.00000 1.47015 15 0.750000 1.00000 0.560846 16 1.00000 1.00000 0.368924 X, Y, Z interpolation: 1 0.00000 0.00000 0.00000 2 0.250000 0.00000 0.00000 3 0.750000 0.00000 0.00000 4 1.00000 0.00000 0.00000 5 0.00000 0.250000 1.19694 6 0.250000 0.250000 -0.373827 7 0.750000 0.250000 1.36899 8 1.00000 0.250000 -0.405850 9 0.00000 0.750000 1.87600 10 0.250000 0.750000 -0.548860 11 0.750000 0.750000 0.386056E-01 12 1.00000 0.750000 -0.636098 13 0.00000 1.00000 -1.08804 14 0.250000 1.00000 1.47015 15 0.750000 1.00000 0.560846 16 1.00000 1.00000 0.368924 RMS data interpolation error = 0.00000 RMS data approximation error = 0.222090 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 7 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.158350 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 7 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.256233E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 8 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.652165E-05 2 1.00000 0.00000 0.652165E-05 3 0.00000 1.00000 0.652165E-05 4 1.00000 1.00000 0.652165E-05 X, Y, Z interpolation: 1 0.00000 0.00000 0.652165E-05 2 1.00000 0.00000 0.652165E-05 3 0.00000 1.00000 0.652165E-05 4 1.00000 1.00000 0.652165E-05 RMS data interpolation error = 0.00000 RMS data approximation error = 2.49999 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 8 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.652165E-05 2 0.500000 0.00000 1.00001 3 1.00000 0.00000 0.652165E-05 4 0.00000 0.500000 0.750007 5 0.500000 0.500000 2.50000 6 1.00000 0.500000 0.750007 7 0.00000 1.00000 0.652165E-05 8 0.500000 1.00000 1.00001 9 1.00000 1.00000 0.652165E-05 X, Y, Z interpolation: 1 0.00000 0.00000 0.652165E-05 2 0.500000 0.00000 1.00001 3 1.00000 0.00000 0.652165E-05 4 0.00000 0.500000 0.750007 5 0.500000 0.500000 2.50000 6 1.00000 0.500000 0.750007 7 0.00000 1.00000 0.652165E-05 8 0.500000 1.00000 1.00001 9 1.00000 1.00000 0.652165E-05 RMS data interpolation error = 0.00000 RMS data approximation error = 0.828020 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 8 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.652165E-05 2 0.250000 0.00000 0.439399E-01 3 0.750000 0.00000 0.439399E-01 4 1.00000 0.00000 0.652165E-05 5 0.00000 0.250000 0.329565E-01 6 0.250000 0.250000 0.783375E-01 7 0.750000 0.250000 0.783375E-01 8 1.00000 0.250000 0.329565E-01 9 0.00000 0.750000 0.329565E-01 10 0.250000 0.750000 0.783375E-01 11 0.750000 0.750000 0.783375E-01 12 1.00000 0.750000 0.329565E-01 13 0.00000 1.00000 0.652165E-05 14 0.250000 1.00000 0.439399E-01 15 0.750000 1.00000 0.439399E-01 16 1.00000 1.00000 0.652165E-05 X, Y, Z interpolation: 1 0.00000 0.00000 0.652165E-05 2 0.250000 0.00000 0.439399E-01 3 0.750000 0.00000 0.439399E-01 4 1.00000 0.00000 0.652165E-05 5 0.00000 0.250000 0.329565E-01 6 0.250000 0.250000 0.783375E-01 7 0.750000 0.250000 0.783375E-01 8 1.00000 0.250000 0.329565E-01 9 0.00000 0.750000 0.329565E-01 10 0.250000 0.750000 0.783375E-01 11 0.750000 0.750000 0.783375E-01 12 1.00000 0.750000 0.329565E-01 13 0.00000 1.00000 0.652165E-05 14 0.250000 1.00000 0.439399E-01 15 0.750000 1.00000 0.439399E-01 16 1.00000 1.00000 0.652165E-05 RMS data interpolation error = 0.00000 RMS data approximation error = 0.321494 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 8 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.142802 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 8 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.123551E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 9 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.996532E-01 2 1.00000 0.00000 -0.189352 3 0.00000 1.00000 -0.189352 4 1.00000 1.00000 0.359788 X, Y, Z interpolation: 1 0.00000 0.00000 0.996532E-01 2 1.00000 0.00000 -0.189352 3 0.00000 1.00000 -0.189352 4 1.00000 1.00000 0.359788 RMS data interpolation error = 0.00000 RMS data approximation error = 0.201845E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 9 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.996532E-01 2 0.500000 0.00000 0.00000 3 1.00000 0.00000 -0.189352 4 0.00000 0.500000 0.00000 5 0.500000 0.500000 0.00000 6 1.00000 0.500000 -0.00000 7 0.00000 1.00000 -0.189352 8 0.500000 1.00000 -0.00000 9 1.00000 1.00000 0.359788 X, Y, Z interpolation: 1 0.00000 0.00000 0.996532E-01 2 0.500000 0.00000 0.00000 3 1.00000 0.00000 -0.189352 4 0.00000 0.500000 0.00000 5 0.500000 0.500000 0.00000 6 1.00000 0.500000 0.00000 7 0.00000 1.00000 -0.189352 8 0.500000 1.00000 0.00000 9 1.00000 1.00000 0.359788 RMS data interpolation error = 0.00000 RMS data approximation error = 15.3910 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 9 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.996532E-01 2 0.250000 0.00000 1.32058 3 0.750000 0.00000 -2.09804 4 1.00000 0.00000 -0.189352 5 0.00000 0.250000 1.32058 6 0.250000 0.250000 17.4999 7 0.750000 0.250000 -27.8026 8 1.00000 0.250000 -2.50923 9 0.00000 0.750000 -2.09804 10 0.250000 0.750000 -27.8026 11 0.750000 0.750000 44.1709 12 1.00000 0.750000 3.98650 13 0.00000 1.00000 -0.189352 14 0.250000 1.00000 -2.50923 15 0.750000 1.00000 3.98650 16 1.00000 1.00000 0.359788 X, Y, Z interpolation: 1 0.00000 0.00000 0.996532E-01 2 0.250000 0.00000 1.32058 3 0.750000 0.00000 -2.09804 4 1.00000 0.00000 -0.189352 5 0.00000 0.250000 1.32058 6 0.250000 0.250000 17.4999 7 0.750000 0.250000 -27.8026 8 1.00000 0.250000 -2.50923 9 0.00000 0.750000 -2.09804 10 0.250000 0.750000 -27.8026 11 0.750000 0.750000 44.1709 12 1.00000 0.750000 3.98650 13 0.00000 1.00000 -0.189352 14 0.250000 1.00000 -2.50923 15 0.750000 1.00000 3.98650 16 1.00000 1.00000 0.359788 RMS data interpolation error = 0.00000 RMS data approximation error = 4.94687 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 9 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 7.09178 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem # 9 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.682591 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 -0.830877E-01 2 1.00000 0.00000 -0.830877E-01 3 0.00000 1.00000 -0.830877E-01 4 1.00000 1.00000 -0.830877E-01 X, Y, Z interpolation: 1 0.00000 0.00000 -0.830877E-01 2 1.00000 0.00000 -0.830877E-01 3 0.00000 1.00000 -0.830877E-01 4 1.00000 1.00000 -0.830877E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 1.08309 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 -0.830877E-01 2 0.500000 0.00000 0.147613 3 1.00000 0.00000 -0.830877E-01 4 0.00000 0.500000 0.193855 5 0.500000 0.500000 1.00000 6 1.00000 0.500000 0.193855 7 0.00000 1.00000 -0.830877E-01 8 0.500000 1.00000 0.147613 9 1.00000 1.00000 -0.830877E-01 X, Y, Z interpolation: 1 0.00000 0.00000 -0.830877E-01 2 0.500000 0.00000 0.147613 3 1.00000 0.00000 -0.830877E-01 4 0.00000 0.500000 0.193855 5 0.500000 0.500000 1.00000 6 1.00000 0.500000 0.193855 7 0.00000 1.00000 -0.830877E-01 8 0.500000 1.00000 0.147613 9 1.00000 1.00000 -0.830877E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.339989 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 -0.830877E-01 2 0.250000 0.00000 0.628412E-01 3 0.750000 0.00000 0.628412E-01 4 1.00000 0.00000 -0.830877E-01 5 0.00000 0.250000 0.131554 6 0.250000 0.250000 -0.586460E-01 7 0.750000 0.250000 -0.586460E-01 8 1.00000 0.250000 0.131554 9 0.00000 0.750000 0.131554 10 0.250000 0.750000 -0.586460E-01 11 0.750000 0.750000 -0.586460E-01 12 1.00000 0.750000 0.131554 13 0.00000 1.00000 -0.830877E-01 14 0.250000 1.00000 0.628412E-01 15 0.750000 1.00000 0.628412E-01 16 1.00000 1.00000 -0.830877E-01 X, Y, Z interpolation: 1 0.00000 0.00000 -0.830877E-01 2 0.250000 0.00000 0.628412E-01 3 0.750000 0.00000 0.628412E-01 4 1.00000 0.00000 -0.830877E-01 5 0.00000 0.250000 0.131554 6 0.250000 0.250000 -0.586460E-01 7 0.750000 0.250000 -0.586460E-01 8 1.00000 0.250000 0.131554 9 0.00000 0.750000 0.131554 10 0.250000 0.750000 -0.586460E-01 11 0.750000 0.750000 -0.586460E-01 12 1.00000 0.750000 0.131554 13 0.00000 1.00000 -0.830877E-01 14 0.250000 1.00000 0.628412E-01 15 0.750000 1.00000 0.628412E-01 16 1.00000 1.00000 -0.830877E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.138405 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.110323 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.999769E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.00000 2 1.00000 0.00000 1.00000 3 0.00000 1.00000 0.00000 4 1.00000 1.00000 2.00000 X, Y, Z interpolation: 1 0.00000 0.00000 0.00000 2 1.00000 0.00000 1.00000 3 0.00000 1.00000 0.00000 4 1.00000 1.00000 2.00000 RMS data interpolation error = 0.00000 RMS data approximation error = 0.00000 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.00000 2 0.500000 0.00000 0.500000 3 1.00000 0.00000 1.00000 4 0.00000 0.500000 0.00000 5 0.500000 0.500000 0.750000 6 1.00000 0.500000 1.50000 7 0.00000 1.00000 0.00000 8 0.500000 1.00000 1.00000 9 1.00000 1.00000 2.00000 X, Y, Z interpolation: 1 0.00000 0.00000 0.00000 2 0.500000 0.00000 0.500000 3 1.00000 0.00000 1.00000 4 0.00000 0.500000 0.00000 5 0.500000 0.500000 0.750000 6 1.00000 0.500000 1.50000 7 0.00000 1.00000 0.00000 8 0.500000 1.00000 1.00000 9 1.00000 1.00000 2.00000 RMS data interpolation error = 0.00000 RMS data approximation error = 0.00000 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.00000 2 0.250000 0.00000 0.250000 3 0.750000 0.00000 0.750000 4 1.00000 0.00000 1.00000 5 0.00000 0.250000 0.00000 6 0.250000 0.250000 0.312500 7 0.750000 0.250000 0.937500 8 1.00000 0.250000 1.25000 9 0.00000 0.750000 0.00000 10 0.250000 0.750000 0.437500 11 0.750000 0.750000 1.31250 12 1.00000 0.750000 1.75000 13 0.00000 1.00000 0.00000 14 0.250000 1.00000 0.500000 15 0.750000 1.00000 1.50000 16 1.00000 1.00000 2.00000 X, Y, Z interpolation: 1 0.00000 0.00000 0.00000 2 0.250000 0.00000 0.250000 3 0.750000 0.00000 0.750000 4 1.00000 0.00000 1.00000 5 0.00000 0.250000 0.00000 6 0.250000 0.250000 0.312500 7 0.750000 0.250000 0.937500 8 1.00000 0.250000 1.25000 9 0.00000 0.750000 0.00000 10 0.250000 0.750000 0.437500 11 0.750000 0.750000 1.31250 12 1.00000 0.750000 1.75000 13 0.00000 1.00000 0.00000 14 0.250000 1.00000 0.500000 15 0.750000 1.00000 1.50000 16 1.00000 1.00000 2.00000 RMS data interpolation error = 0.00000 RMS data approximation error = 0.604329E-16 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.344551E-16 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.398216E-16 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.00000 2 1.00000 0.00000 0.00000 3 0.00000 1.00000 0.688241 4 1.00000 1.00000 1.87271 X, Y, Z interpolation: 1 0.00000 0.00000 0.00000 2 1.00000 0.00000 0.00000 3 0.00000 1.00000 0.688241 4 1.00000 1.00000 1.87271 RMS data interpolation error = 0.00000 RMS data approximation error = 0.179861 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.00000 2 0.500000 0.00000 0.00000 3 1.00000 0.00000 0.00000 4 0.00000 0.500000 0.748896 5 0.500000 0.500000 0.460375 6 1.00000 0.500000 0.666271 7 0.00000 1.00000 0.688241 8 0.500000 1.00000 1.16513 9 1.00000 1.00000 1.87271 X, Y, Z interpolation: 1 0.00000 0.00000 0.00000 2 0.500000 0.00000 0.00000 3 1.00000 0.00000 0.00000 4 0.00000 0.500000 0.748896 5 0.500000 0.500000 0.460375 6 1.00000 0.500000 0.666271 7 0.00000 1.00000 0.688241 8 0.500000 1.00000 1.16513 9 1.00000 1.00000 1.87271 RMS data interpolation error = 0.00000 RMS data approximation error = 0.141766 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.00000 2 0.250000 0.00000 0.00000 3 0.750000 0.00000 0.00000 4 1.00000 0.00000 0.00000 5 0.00000 0.250000 0.721902 6 0.250000 0.250000 0.787472 7 0.750000 0.250000 0.197944 8 1.00000 0.250000 0.270804 9 0.00000 0.750000 0.448320 10 0.250000 0.750000 0.486641 11 0.750000 0.750000 0.822120 12 1.00000 0.750000 1.25848 13 0.00000 1.00000 0.688241 14 0.250000 1.00000 0.854796 15 0.750000 1.00000 1.58342 16 1.00000 1.00000 1.87271 X, Y, Z interpolation: 1 0.00000 0.00000 0.00000 2 0.250000 0.00000 0.00000 3 0.750000 0.00000 0.00000 4 1.00000 0.00000 0.00000 5 0.00000 0.250000 0.721902 6 0.250000 0.250000 0.787472 7 0.750000 0.250000 0.197944 8 1.00000 0.250000 0.270804 9 0.00000 0.750000 0.448320 10 0.250000 0.750000 0.486641 11 0.750000 0.750000 0.822120 12 1.00000 0.750000 1.25848 13 0.00000 1.00000 0.688241 14 0.250000 1.00000 0.854796 15 0.750000 1.00000 1.58342 16 1.00000 1.00000 1.87271 RMS data interpolation error = 0.00000 RMS data approximation error = 0.161854E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.619069E-02 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.154550E-03 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13 Using polynomial interpolant of product degree 1 x 1 Number of data points = 4 X, Y, Z data: 1 0.00000 0.00000 0.196078E-01 2 1.00000 0.00000 0.196078E-01 3 0.00000 1.00000 0.196078E-01 4 1.00000 1.00000 0.196078E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.196078E-01 2 1.00000 0.00000 0.196078E-01 3 0.00000 1.00000 0.196078E-01 4 1.00000 1.00000 0.196078E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.980392 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13 Using polynomial interpolant of product degree 2 x 2 Number of data points = 9 X, Y, Z data: 1 0.00000 0.00000 0.196078E-01 2 0.500000 0.00000 0.384615E-01 3 1.00000 0.00000 0.196078E-01 4 0.00000 0.500000 0.384615E-01 5 0.500000 0.500000 1.00000 6 1.00000 0.500000 0.384615E-01 7 0.00000 1.00000 0.196078E-01 8 0.500000 1.00000 0.384615E-01 9 1.00000 1.00000 0.196078E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.196078E-01 2 0.500000 0.00000 0.384615E-01 3 1.00000 0.00000 0.196078E-01 4 0.00000 0.500000 0.384615E-01 5 0.500000 0.500000 1.00000 6 1.00000 0.500000 0.384615E-01 7 0.00000 1.00000 0.196078E-01 8 0.500000 1.00000 0.384615E-01 9 1.00000 1.00000 0.196078E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.252037 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13 Using polynomial interpolant of product degree 3 x 3 Number of data points = 16 X, Y, Z data: 1 0.00000 0.00000 0.196078E-01 2 0.250000 0.00000 0.310078E-01 3 0.750000 0.00000 0.310078E-01 4 1.00000 0.00000 0.196078E-01 5 0.00000 0.250000 0.310078E-01 6 0.250000 0.250000 0.740741E-01 7 0.750000 0.250000 0.740741E-01 8 1.00000 0.250000 0.310078E-01 9 0.00000 0.750000 0.310078E-01 10 0.250000 0.750000 0.740741E-01 11 0.750000 0.750000 0.740741E-01 12 1.00000 0.750000 0.310078E-01 13 0.00000 1.00000 0.196078E-01 14 0.250000 1.00000 0.310078E-01 15 0.750000 1.00000 0.310078E-01 16 1.00000 1.00000 0.196078E-01 X, Y, Z interpolation: 1 0.00000 0.00000 0.196078E-01 2 0.250000 0.00000 0.310078E-01 3 0.750000 0.00000 0.310078E-01 4 1.00000 0.00000 0.196078E-01 5 0.00000 0.250000 0.310078E-01 6 0.250000 0.250000 0.740741E-01 7 0.750000 0.250000 0.740741E-01 8 1.00000 0.250000 0.310078E-01 9 0.00000 0.750000 0.310078E-01 10 0.250000 0.750000 0.740741E-01 11 0.750000 0.750000 0.740741E-01 12 1.00000 0.750000 0.310078E-01 13 0.00000 1.00000 0.196078E-01 14 0.250000 1.00000 0.310078E-01 15 0.750000 1.00000 0.310078E-01 16 1.00000 1.00000 0.196078E-01 RMS data interpolation error = 0.00000 RMS data approximation error = 0.993214E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13 Using polynomial interpolant of product degree 4 x 4 Number of data points = 25 RMS data interpolation error = 0.00000 RMS data approximation error = 0.437172E-01 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13 Using polynomial interpolant of product degree 8 x 8 Number of data points = 81 RMS data interpolation error = 0.00000 RMS data approximation error = 0.690114E-02 LAGRANGE_INTERP_2D_TEST: Normal end of execution. 15 October 2012 3:12:51.323 PM