11-Mar-2019 12:27:25 rbf_interp_1d_test: MATLAB version Test rbf_interp_1d. The R8LIB library is needed. The test needs the TEST_INTERP library. PHI1_TEST PHI1 evaluates the multiquadric radial basis function. R: 1: 1 2: 2 3: 3 4: 4 5: 5 R0 = 4 PHI1(R,R0) = sqrt ( R^2 + R0^2 ): 1: 4.12311 2: 4.47214 3: 5 4: 5.65685 5: 6.40312 PHI2_TEST PHI2 evaluates the inverse multiquadric radial basis function. R: 1: 1 2: 2 3: 3 4: 4 5: 5 R0 = 4 PHI2(R,R0) = 1 / sqrt ( R^2 + R0^2 ): 1: 0.242536 2: 0.223607 3: 0.2 4: 0.176777 5: 0.156174 PHI3_TEST PHI3 evaluates the thin plate spline radial basis function. R: 1: 1 2: 2 3: 3 4: 4 5: 5 R0 = 0.25 PHI3(R,R0) = thin plate spline: 1: 1.38629 2: 8.31777 3: 22.3642 4: 44.3614 5: 74.8933 PHI4_TEST PHI4 evaluates the Gaussian radial basis function. R: 1: 1 2: 2 3: 3 4: 4 5: 5 R0 = 4 PHI4(R,R0) = Gaussian: 1: 0.969233 2: 0.882497 3: 0.75484 4: 0.606531 5: 0.457833 RBF_WEIGHT_TEST: RBF_WEIGHT computes the weights associated with the data abscissa values XD. Weights: 1: 2.7089 2: 1.43543 3: -2.14159 4: 8.67487 5: -7.11459 RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #1 using radial basis function phi1 Scale factor R0 = 1.05882 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 4.000000 2: 1.000000 5.000000 3: 2.000000 6.000000 4: 4.000000 6.000000 5: 5.000000 5.000000 6: 6.000000 3.000000 7: 7.000000 1.000000 8: 8.000000 1.000000 9: 9.000000 1.000000 10: 10.000000 3.000000 11: 11.000000 4.000000 12: 12.000000 4.000000 13: 13.000000 3.000000 14: 14.000000 3.000000 15: 15.000000 4.000000 16: 16.000000 4.000000 17: 17.000000 3.000000 18: 18.000000 0.000000 L2 interpolation error averaged per interpolant node = 4.75055e-15 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 3.30163 Created plot file "p01_data.png". Created plot file "p01_phi1_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #1 using radial basis function phi2 Scale factor R0 = 1.05882 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 4.000000 2: 1.000000 5.000000 3: 2.000000 6.000000 4: 4.000000 6.000000 5: 5.000000 5.000000 6: 6.000000 3.000000 7: 7.000000 1.000000 8: 8.000000 1.000000 9: 9.000000 1.000000 10: 10.000000 3.000000 11: 11.000000 4.000000 12: 12.000000 4.000000 13: 13.000000 3.000000 14: 14.000000 3.000000 15: 15.000000 4.000000 16: 16.000000 4.000000 17: 17.000000 3.000000 18: 18.000000 0.000000 L2 interpolation error averaged per interpolant node = 1.43991e-16 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 3.27743 Created plot file "p01_data.png". Created plot file "p01_phi2_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #1 using radial basis function phi3 Scale factor R0 = 1.05882 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 4.000000 2: 1.000000 5.000000 3: 2.000000 6.000000 4: 4.000000 6.000000 5: 5.000000 5.000000 6: 6.000000 3.000000 7: 7.000000 1.000000 8: 8.000000 1.000000 9: 9.000000 1.000000 10: 10.000000 3.000000 11: 11.000000 4.000000 12: 12.000000 4.000000 13: 13.000000 3.000000 14: 14.000000 3.000000 15: 15.000000 4.000000 16: 16.000000 4.000000 17: 17.000000 3.000000 18: 18.000000 0.000000 L2 interpolation error averaged per interpolant node = 4.84093e-15 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 3.27966 Created plot file "p01_data.png". Created plot file "p01_phi3_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #1 using radial basis function phi4 Scale factor R0 = 1.05882 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 4.000000 2: 1.000000 5.000000 3: 2.000000 6.000000 4: 4.000000 6.000000 5: 5.000000 5.000000 6: 6.000000 3.000000 7: 7.000000 1.000000 8: 8.000000 1.000000 9: 9.000000 1.000000 10: 10.000000 3.000000 11: 11.000000 4.000000 12: 12.000000 4.000000 13: 13.000000 3.000000 14: 14.000000 3.000000 15: 15.000000 4.000000 16: 16.000000 4.000000 17: 17.000000 3.000000 18: 18.000000 0.000000 L2 interpolation error averaged per interpolant node = 1.54567e-16 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 3.28618 Created plot file "p01_data.png". Created plot file "p01_phi4_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #2 using radial basis function phi1 Scale factor R0 = 1.82353 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 1.340000 5.000000 3: 5.000000 8.660000 4: 10.000000 10.000000 5: 10.600000 10.400000 6: 10.700000 12.000000 7: 10.705000 28.600000 8: 10.800000 30.200000 9: 11.400000 30.600000 10: 19.600000 30.600000 11: 20.200000 30.200000 12: 20.295000 28.600000 13: 20.300000 12.000000 14: 20.400000 10.400000 15: 21.000000 10.000000 16: 26.000000 8.660000 17: 29.660000 5.000000 18: 31.000000 0.000000 L2 interpolation error averaged per interpolant node = 0.00223787 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 420406 Created plot file "p02_data.png". Created plot file "p02_phi1_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #2 using radial basis function phi2 Scale factor R0 = 1.82353 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 1.340000 5.000000 3: 5.000000 8.660000 4: 10.000000 10.000000 5: 10.600000 10.400000 6: 10.700000 12.000000 7: 10.705000 28.600000 8: 10.800000 30.200000 9: 11.400000 30.600000 10: 19.600000 30.600000 11: 20.200000 30.200000 12: 20.295000 28.600000 13: 20.300000 12.000000 14: 20.400000 10.400000 15: 21.000000 10.000000 16: 26.000000 8.660000 17: 29.660000 5.000000 18: 31.000000 0.000000 L2 interpolation error averaged per interpolant node = 1.83899e-05 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 143169 Created plot file "p02_data.png". Created plot file "p02_phi2_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #2 using radial basis function phi3 Scale factor R0 = 1.82353 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 1.340000 5.000000 3: 5.000000 8.660000 4: 10.000000 10.000000 5: 10.600000 10.400000 6: 10.700000 12.000000 7: 10.705000 28.600000 8: 10.800000 30.200000 9: 11.400000 30.600000 10: 19.600000 30.600000 11: 20.200000 30.200000 12: 20.295000 28.600000 13: 20.300000 12.000000 14: 20.400000 10.400000 15: 21.000000 10.000000 16: 26.000000 8.660000 17: 29.660000 5.000000 18: 31.000000 0.000000 L2 interpolation error averaged per interpolant node = 2.19154e-09 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 15.5421 Created plot file "p02_data.png". Created plot file "p02_phi3_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #2 using radial basis function phi4 Scale factor R0 = 1.82353 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 1.340000 5.000000 3: 5.000000 8.660000 4: 10.000000 10.000000 5: 10.600000 10.400000 6: 10.700000 12.000000 7: 10.705000 28.600000 8: 10.800000 30.200000 9: 11.400000 30.600000 10: 19.600000 30.600000 11: 20.200000 30.200000 12: 20.295000 28.600000 13: 20.300000 12.000000 14: 20.400000 10.400000 15: 21.000000 10.000000 16: 26.000000 8.660000 17: 29.660000 5.000000 18: 31.000000 0.000000 L2 interpolation error averaged per interpolant node = 0.0503057 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 1.43556e+07 Created plot file "p02_data.png". Created plot file "p02_phi4_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #3 using radial basis function phi1 Scale factor R0 = 1.5 Number of data points = 11 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 2.000000 10.000000 3: 3.000000 10.000000 4: 5.000000 10.000000 5: 6.000000 10.000000 6: 8.000000 10.000000 7: 9.000000 10.500000 8: 11.000000 15.000000 9: 12.000000 50.000000 10: 14.000000 60.000000 11: 15.000000 85.000000 L2 interpolation error averaged per interpolant node = 8.24084e-14 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 1.88165 Created plot file "p03_data.png". Created plot file "p03_phi1_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #3 using radial basis function phi2 Scale factor R0 = 1.5 Number of data points = 11 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 2.000000 10.000000 3: 3.000000 10.000000 4: 5.000000 10.000000 5: 6.000000 10.000000 6: 8.000000 10.000000 7: 9.000000 10.500000 8: 11.000000 15.000000 9: 12.000000 50.000000 10: 14.000000 60.000000 11: 15.000000 85.000000 L2 interpolation error averaged per interpolant node = 2.6682e-15 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 1.84919 Created plot file "p03_data.png". Created plot file "p03_phi2_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #3 using radial basis function phi3 Scale factor R0 = 1.5 Number of data points = 11 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 2.000000 10.000000 3: 3.000000 10.000000 4: 5.000000 10.000000 5: 6.000000 10.000000 6: 8.000000 10.000000 7: 9.000000 10.500000 8: 11.000000 15.000000 9: 12.000000 50.000000 10: 14.000000 60.000000 11: 15.000000 85.000000 L2 interpolation error averaged per interpolant node = 2.46647e-14 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 1.76283 Created plot file "p03_data.png". Created plot file "p03_phi3_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #3 using radial basis function phi4 Scale factor R0 = 1.5 Number of data points = 11 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 2.000000 10.000000 3: 3.000000 10.000000 4: 5.000000 10.000000 5: 6.000000 10.000000 6: 8.000000 10.000000 7: 9.000000 10.500000 8: 11.000000 15.000000 9: 12.000000 50.000000 10: 14.000000 60.000000 11: 15.000000 85.000000 L2 interpolation error averaged per interpolant node = 4.9931e-15 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 1.99582 Created plot file "p03_data.png". Created plot file "p03_phi4_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #4 using radial basis function phi1 Scale factor R0 = 0.142857 Number of data points = 8 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.050000 0.700000 3: 0.100000 1.000000 4: 0.200000 1.000000 5: 0.800000 0.300000 6: 0.850000 0.050000 7: 0.900000 0.100000 8: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 2.07414e-15 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 3.57598 Created plot file "p04_data.png". Created plot file "p04_phi1_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #4 using radial basis function phi2 Scale factor R0 = 0.142857 Number of data points = 8 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.050000 0.700000 3: 0.100000 1.000000 4: 0.200000 1.000000 5: 0.800000 0.300000 6: 0.850000 0.050000 7: 0.900000 0.100000 8: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 6.5648e-16 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 3.46533 Created plot file "p04_data.png". Created plot file "p04_phi2_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #4 using radial basis function phi3 Scale factor R0 = 0.142857 Number of data points = 8 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.050000 0.700000 3: 0.100000 1.000000 4: 0.200000 1.000000 5: 0.800000 0.300000 6: 0.850000 0.050000 7: 0.900000 0.100000 8: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 3.17061e-15 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 3.48487 Created plot file "p04_data.png". Created plot file "p04_phi3_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #4 using radial basis function phi4 Scale factor R0 = 0.142857 Number of data points = 8 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.050000 0.700000 3: 0.100000 1.000000 4: 0.200000 1.000000 5: 0.800000 0.300000 6: 0.850000 0.050000 7: 0.900000 0.100000 8: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 4.47688e-16 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 4.08924 Created plot file "p04_data.png". Created plot file "p04_phi4_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #5 using radial basis function phi1 Scale factor R0 = 0.125 Number of data points = 9 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.050000 7: 0.600000 0.050000 8: 0.800000 0.200000 9: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 8.57458e-16 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of polynomial interpolant = 3.557 Created plot file "p05_data.png". Created plot file "p05_phi1_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #5 using radial basis function phi2 Scale factor R0 = 0.125 Number of data points = 9 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.050000 7: 0.600000 0.050000 8: 0.800000 0.200000 9: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 9.41237e-17 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of polynomial interpolant = 3.4901 Created plot file "p05_data.png". Created plot file "p05_phi2_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #5 using radial basis function phi3 Scale factor R0 = 0.125 Number of data points = 9 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.050000 7: 0.600000 0.050000 8: 0.800000 0.200000 9: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 7.4098e-16 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of polynomial interpolant = 3.40139 Created plot file "p05_data.png". Created plot file "p05_phi3_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #5 using radial basis function phi4 Scale factor R0 = 0.125 Number of data points = 9 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.050000 7: 0.600000 0.050000 8: 0.800000 0.200000 9: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 3.39509e-16 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of polynomial interpolant = 4.18483 Created plot file "p05_data.png". Created plot file "p05_phi4_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #6 using radial basis function phi1 Scale factor R0 = 10 Number of data points = 49 Data array: Row: 1 2 Col 1: 595.000000 0.644000 2: 605.000000 0.622000 3: 615.000000 0.638000 4: 625.000000 0.649000 5: 635.000000 0.652000 6: 645.000000 0.639000 7: 655.000000 0.646000 8: 665.000000 0.657000 9: 675.000000 0.652000 10: 685.000000 0.655000 11: 695.000000 0.644000 12: 705.000000 0.663000 13: 715.000000 0.663000 14: 725.000000 0.668000 15: 735.000000 0.676000 16: 745.000000 0.676000 17: 755.000000 0.686000 18: 765.000000 0.679000 19: 775.000000 0.678000 20: 785.000000 0.683000 21: 795.000000 0.694000 22: 805.000000 0.699000 23: 815.000000 0.710000 24: 825.000000 0.730000 25: 835.000000 0.763000 26: 845.000000 0.812000 27: 855.000000 0.907000 28: 865.000000 1.044000 29: 875.000000 1.336000 30: 885.000000 1.881000 31: 895.000000 2.169000 32: 905.000000 2.075000 33: 915.000000 1.598000 34: 925.000000 1.211000 35: 935.000000 0.916000 36: 945.000000 0.746000 37: 955.000000 0.672000 38: 965.000000 0.627000 39: 975.000000 0.615000 40: 985.000000 0.607000 41: 995.000000 0.606000 42: 1005.000000 0.609000 43: 1015.000000 0.603000 44: 1025.000000 0.601000 45: 1035.000000 0.603000 46: 1045.000000 0.601000 47: 1055.000000 0.611000 48: 1065.000000 0.601000 49: 1075.000000 0.608000 L2 interpolation error averaged per interpolant node = 6.86339e-16 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 2.71105 Created plot file "p06_data.png". Created plot file "p06_phi1_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #6 using radial basis function phi2 Scale factor R0 = 10 Number of data points = 49 Data array: Row: 1 2 Col 1: 595.000000 0.644000 2: 605.000000 0.622000 3: 615.000000 0.638000 4: 625.000000 0.649000 5: 635.000000 0.652000 6: 645.000000 0.639000 7: 655.000000 0.646000 8: 665.000000 0.657000 9: 675.000000 0.652000 10: 685.000000 0.655000 11: 695.000000 0.644000 12: 705.000000 0.663000 13: 715.000000 0.663000 14: 725.000000 0.668000 15: 735.000000 0.676000 16: 745.000000 0.676000 17: 755.000000 0.686000 18: 765.000000 0.679000 19: 775.000000 0.678000 20: 785.000000 0.683000 21: 795.000000 0.694000 22: 805.000000 0.699000 23: 815.000000 0.710000 24: 825.000000 0.730000 25: 835.000000 0.763000 26: 845.000000 0.812000 27: 855.000000 0.907000 28: 865.000000 1.044000 29: 875.000000 1.336000 30: 885.000000 1.881000 31: 895.000000 2.169000 32: 905.000000 2.075000 33: 915.000000 1.598000 34: 925.000000 1.211000 35: 935.000000 0.916000 36: 945.000000 0.746000 37: 955.000000 0.672000 38: 965.000000 0.627000 39: 975.000000 0.615000 40: 985.000000 0.607000 41: 995.000000 0.606000 42: 1005.000000 0.609000 43: 1015.000000 0.603000 44: 1025.000000 0.601000 45: 1035.000000 0.603000 46: 1045.000000 0.601000 47: 1055.000000 0.611000 48: 1065.000000 0.601000 49: 1075.000000 0.608000 L2 interpolation error averaged per interpolant node = 2.00107e-17 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 2.71456 Created plot file "p06_data.png". Created plot file "p06_phi2_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #6 using radial basis function phi3 Scale factor R0 = 10 Number of data points = 49 Data array: Row: 1 2 Col 1: 595.000000 0.644000 2: 605.000000 0.622000 3: 615.000000 0.638000 4: 625.000000 0.649000 5: 635.000000 0.652000 6: 645.000000 0.639000 7: 655.000000 0.646000 8: 665.000000 0.657000 9: 675.000000 0.652000 10: 685.000000 0.655000 11: 695.000000 0.644000 12: 705.000000 0.663000 13: 715.000000 0.663000 14: 725.000000 0.668000 15: 735.000000 0.676000 16: 745.000000 0.676000 17: 755.000000 0.686000 18: 765.000000 0.679000 19: 775.000000 0.678000 20: 785.000000 0.683000 21: 795.000000 0.694000 22: 805.000000 0.699000 23: 815.000000 0.710000 24: 825.000000 0.730000 25: 835.000000 0.763000 26: 845.000000 0.812000 27: 855.000000 0.907000 28: 865.000000 1.044000 29: 875.000000 1.336000 30: 885.000000 1.881000 31: 895.000000 2.169000 32: 905.000000 2.075000 33: 915.000000 1.598000 34: 925.000000 1.211000 35: 935.000000 0.916000 36: 945.000000 0.746000 37: 955.000000 0.672000 38: 965.000000 0.627000 39: 975.000000 0.615000 40: 985.000000 0.607000 41: 995.000000 0.606000 42: 1005.000000 0.609000 43: 1015.000000 0.603000 44: 1025.000000 0.601000 45: 1035.000000 0.603000 46: 1045.000000 0.601000 47: 1055.000000 0.611000 48: 1065.000000 0.601000 49: 1075.000000 0.608000 L2 interpolation error averaged per interpolant node = 4.48009e-15 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 2.70318 Created plot file "p06_data.png". Created plot file "p06_phi3_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #6 using radial basis function phi4 Scale factor R0 = 10 Number of data points = 49 Data array: Row: 1 2 Col 1: 595.000000 0.644000 2: 605.000000 0.622000 3: 615.000000 0.638000 4: 625.000000 0.649000 5: 635.000000 0.652000 6: 645.000000 0.639000 7: 655.000000 0.646000 8: 665.000000 0.657000 9: 675.000000 0.652000 10: 685.000000 0.655000 11: 695.000000 0.644000 12: 705.000000 0.663000 13: 715.000000 0.663000 14: 725.000000 0.668000 15: 735.000000 0.676000 16: 745.000000 0.676000 17: 755.000000 0.686000 18: 765.000000 0.679000 19: 775.000000 0.678000 20: 785.000000 0.683000 21: 795.000000 0.694000 22: 805.000000 0.699000 23: 815.000000 0.710000 24: 825.000000 0.730000 25: 835.000000 0.763000 26: 845.000000 0.812000 27: 855.000000 0.907000 28: 865.000000 1.044000 29: 875.000000 1.336000 30: 885.000000 1.881000 31: 895.000000 2.169000 32: 905.000000 2.075000 33: 915.000000 1.598000 34: 925.000000 1.211000 35: 935.000000 0.916000 36: 945.000000 0.746000 37: 955.000000 0.672000 38: 965.000000 0.627000 39: 975.000000 0.615000 40: 985.000000 0.607000 41: 995.000000 0.606000 42: 1005.000000 0.609000 43: 1015.000000 0.603000 44: 1025.000000 0.601000 45: 1035.000000 0.603000 46: 1045.000000 0.601000 47: 1055.000000 0.611000 48: 1065.000000 0.601000 49: 1075.000000 0.608000 L2 interpolation error averaged per interpolant node = 1.37821e-17 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 2.75474 Created plot file "p06_data.png". Created plot file "p06_phi4_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #7 using radial basis function phi1 Scale factor R0 = 1.66667 Number of data points = 4 Data array: Row: 1 2 Col 1: 0.000000 1.000000 2: 1.000000 2.000000 3: 4.000000 2.000000 4: 5.000000 1.000000 L2 interpolation error averaged per interpolant node = 5.55112e-16 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 3.5492 Created plot file "p07_data.png". Created plot file "p07_phi1_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #7 using radial basis function phi2 Scale factor R0 = 1.66667 Number of data points = 4 Data array: Row: 1 2 Col 1: 0.000000 1.000000 2: 1.000000 2.000000 3: 4.000000 2.000000 4: 5.000000 1.000000 L2 interpolation error averaged per interpolant node = 1.57009e-16 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 3.04052 Created plot file "p07_data.png". Created plot file "p07_phi2_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #7 using radial basis function phi3 Scale factor R0 = 1.66667 Number of data points = 4 Data array: Row: 1 2 Col 1: 0.000000 1.000000 2: 1.000000 2.000000 3: 4.000000 2.000000 4: 5.000000 1.000000 L2 interpolation error averaged per interpolant node = 9.30536e-16 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 5.18776 Created plot file "p07_data.png". Created plot file "p07_phi3_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #7 using radial basis function phi4 Scale factor R0 = 1.66667 Number of data points = 4 Data array: Row: 1 2 Col 1: 0.000000 1.000000 2: 1.000000 2.000000 3: 4.000000 2.000000 4: 5.000000 1.000000 L2 interpolation error averaged per interpolant node = 6.20634e-17 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 3.63017 Created plot file "p07_data.png". Created plot file "p07_phi4_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #8 using radial basis function phi1 Scale factor R0 = 0.181818 Number of data points = 12 Data array: Row: 1 2 Col 1: -1.000000 1.000000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.040000 6: 0.000000 0.000000 7: 0.200000 0.040000 8: 0.200010 0.050000 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 2.43797e-09 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 341.084 Created plot file "p08_data.png". Created plot file "p08_phi1_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #8 using radial basis function phi2 Scale factor R0 = 0.181818 Number of data points = 12 Data array: Row: 1 2 Col 1: -1.000000 1.000000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.040000 6: 0.000000 0.000000 7: 0.200000 0.040000 8: 0.200010 0.050000 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 7.38271e-11 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 272.133 Created plot file "p08_data.png". Created plot file "p08_phi2_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #8 using radial basis function phi3 Scale factor R0 = 0.181818 Number of data points = 12 Data array: Row: 1 2 Col 1: -1.000000 1.000000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.040000 6: 0.000000 0.000000 7: 0.200000 0.040000 8: 0.200010 0.050000 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 3.14917e-10 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 28.0957 Created plot file "p08_data.png". Created plot file "p08_phi3_poly.png". RBF_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #8 using radial basis function phi4 Scale factor R0 = 0.181818 Number of data points = 12 Data array: Row: 1 2 Col 1: -1.000000 1.000000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.040000 6: 0.000000 0.000000 7: 0.200000 0.040000 8: 0.200010 0.050000 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 5.67133e-10 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 709.806 Created plot file "p08_data.png". Created plot file "p08_phi4_poly.png". rbf_interp_1d_test: Normal end of execution. 11-Mar-2019 12:27:43