14 September 2021 10:27:49.500 AM RBF_INTERP_1D_TEST: FORTRAN90 version Test the RBF_INTERP_1D library. The R8LIB library is needed. The test needs the TEST_INTERP library. TEST01: Interpolate data from TEST_INTERP problem # 1 using radial basis function "phi1". Scale factor R0 = 3.17647 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 4.00000 2: 1.00000 5.00000 3: 2.00000 6.00000 4: 4.00000 6.00000 5: 5.00000 5.00000 6: 6.00000 3.00000 7: 7.00000 1.00000 8: 8.00000 1.00000 9: 9.00000 1.00000 10: 10.0000 3.00000 11: 11.0000 4.00000 12: 12.0000 4.00000 13: 13.0000 3.00000 14: 14.0000 3.00000 15: 15.0000 4.00000 16: 16.0000 4.00000 17: 17.0000 3.00000 18: 18.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.812528E-11 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 3.37220 TEST01: Interpolate data from TEST_INTERP problem # 1 using radial basis function "phi2". Scale factor R0 = 3.17647 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 4.00000 2: 1.00000 5.00000 3: 2.00000 6.00000 4: 4.00000 6.00000 5: 5.00000 5.00000 6: 6.00000 3.00000 7: 7.00000 1.00000 8: 8.00000 1.00000 9: 9.00000 1.00000 10: 10.0000 3.00000 11: 11.0000 4.00000 12: 12.0000 4.00000 13: 13.0000 3.00000 14: 14.0000 3.00000 15: 15.0000 4.00000 16: 16.0000 4.00000 17: 17.0000 3.00000 18: 18.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.446753E-12 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 3.35248 TEST01: Interpolate data from TEST_INTERP problem # 1 using radial basis function "phi3". Scale factor R0 = 3.17647 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 4.00000 2: 1.00000 5.00000 3: 2.00000 6.00000 4: 4.00000 6.00000 5: 5.00000 5.00000 6: 6.00000 3.00000 7: 7.00000 1.00000 8: 8.00000 1.00000 9: 9.00000 1.00000 10: 10.0000 3.00000 11: 11.0000 4.00000 12: 12.0000 4.00000 13: 13.0000 3.00000 14: 14.0000 3.00000 15: 15.0000 4.00000 16: 16.0000 4.00000 17: 17.0000 3.00000 18: 18.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.432848E-13 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 3.28125 TEST01: Interpolate data from TEST_INTERP problem # 1 using radial basis function "phi4". Scale factor R0 = 3.17647 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 4.00000 2: 1.00000 5.00000 3: 2.00000 6.00000 4: 4.00000 6.00000 5: 5.00000 5.00000 6: 6.00000 3.00000 7: 7.00000 1.00000 8: 8.00000 1.00000 9: 9.00000 1.00000 10: 10.0000 3.00000 11: 11.0000 4.00000 12: 12.0000 4.00000 13: 13.0000 3.00000 14: 14.0000 3.00000 15: 15.0000 4.00000 16: 16.0000 4.00000 17: 17.0000 3.00000 18: 18.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.301577E-04 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 29.1936 TEST01: Interpolate data from TEST_INTERP problem # 1 using radial basis function "phi5". Scale factor R0 = 3.17647 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 4.00000 2: 1.00000 5.00000 3: 2.00000 6.00000 4: 4.00000 6.00000 5: 5.00000 5.00000 6: 6.00000 3.00000 7: 7.00000 1.00000 8: 8.00000 1.00000 9: 9.00000 1.00000 10: 10.0000 3.00000 11: 11.0000 4.00000 12: 12.0000 4.00000 13: 13.0000 3.00000 14: 14.0000 3.00000 15: 15.0000 4.00000 16: 16.0000 4.00000 17: 17.0000 3.00000 18: 18.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.241776E-14 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 7.91136 TEST01: Interpolate data from TEST_INTERP problem # 1 using radial basis function "phi6". Scale factor R0 = 3.17647 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 4.00000 2: 1.00000 5.00000 3: 2.00000 6.00000 4: 4.00000 6.00000 5: 5.00000 5.00000 6: 6.00000 3.00000 7: 7.00000 1.00000 8: 8.00000 1.00000 9: 9.00000 1.00000 10: 10.0000 3.00000 11: 11.0000 4.00000 12: 12.0000 4.00000 13: 13.0000 3.00000 14: 14.0000 3.00000 15: 15.0000 4.00000 16: 16.0000 4.00000 17: 17.0000 3.00000 18: 18.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.633537E-14 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 13.4998 TEST01: Interpolate data from TEST_INTERP problem # 1 using radial basis function "phi7". Scale factor R0 = 3.17647 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 4.00000 2: 1.00000 5.00000 3: 2.00000 6.00000 4: 4.00000 6.00000 5: 5.00000 5.00000 6: 6.00000 3.00000 7: 7.00000 1.00000 8: 8.00000 1.00000 9: 9.00000 1.00000 10: 10.0000 3.00000 11: 11.0000 4.00000 12: 12.0000 4.00000 13: 13.0000 3.00000 14: 14.0000 3.00000 15: 15.0000 4.00000 16: 16.0000 4.00000 17: 17.0000 3.00000 18: 18.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.988098E-15 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of polynomial interpolant = 5.39607 TEST01: Interpolate data from TEST_INTERP problem # 2 using radial basis function "phi1". Scale factor R0 = 5.47059 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 1.34000 5.00000 3: 5.00000 8.66000 4: 10.0000 10.0000 5: 10.6000 10.4000 6: 10.7000 12.0000 7: 10.7050 28.6000 8: 10.8000 30.2000 9: 11.4000 30.6000 10: 19.6000 30.6000 11: 20.2000 30.2000 12: 20.2950 28.6000 13: 20.3000 12.0000 14: 20.4000 10.4000 15: 21.0000 10.0000 16: 26.0000 8.66000 17: 29.6600 5.00000 18: 31.0000 0.00000 L2 interpolation error averaged per interpolant node = 23.1318 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 0.165900E+07 TEST01: Interpolate data from TEST_INTERP problem # 2 using radial basis function "phi2". Scale factor R0 = 5.47059 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 1.34000 5.00000 3: 5.00000 8.66000 4: 10.0000 10.0000 5: 10.6000 10.4000 6: 10.7000 12.0000 7: 10.7050 28.6000 8: 10.8000 30.2000 9: 11.4000 30.6000 10: 19.6000 30.6000 11: 20.2000 30.2000 12: 20.2950 28.6000 13: 20.3000 12.0000 14: 20.4000 10.4000 15: 21.0000 10.0000 16: 26.0000 8.66000 17: 29.6600 5.00000 18: 31.0000 0.00000 L2 interpolation error averaged per interpolant node = 3.08549 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 0.552800E+07 TEST01: Interpolate data from TEST_INTERP problem # 2 using radial basis function "phi3". Scale factor R0 = 5.47059 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 1.34000 5.00000 3: 5.00000 8.66000 4: 10.0000 10.0000 5: 10.6000 10.4000 6: 10.7000 12.0000 7: 10.7050 28.6000 8: 10.8000 30.2000 9: 11.4000 30.6000 10: 19.6000 30.6000 11: 20.2000 30.2000 12: 20.2950 28.6000 13: 20.3000 12.0000 14: 20.4000 10.4000 15: 21.0000 10.0000 16: 26.0000 8.66000 17: 29.6600 5.00000 18: 31.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.310851E-08 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 15.5511 TEST01: Interpolate data from TEST_INTERP problem # 2 using radial basis function "phi4". Scale factor R0 = 5.47059 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 1.34000 5.00000 3: 5.00000 8.66000 4: 10.0000 10.0000 5: 10.6000 10.4000 6: 10.7000 12.0000 7: 10.7050 28.6000 8: 10.8000 30.2000 9: 11.4000 30.6000 10: 19.6000 30.6000 11: 20.2000 30.2000 12: 20.2950 28.6000 13: 20.3000 12.0000 14: 20.4000 10.4000 15: 21.0000 10.0000 16: 26.0000 8.66000 17: 29.6600 5.00000 18: 31.0000 0.00000 L2 interpolation error averaged per interpolant node = 15.5350 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 46619.4 TEST01: Interpolate data from TEST_INTERP problem # 2 using radial basis function "phi5". Scale factor R0 = 5.47059 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 1.34000 5.00000 3: 5.00000 8.66000 4: 10.0000 10.0000 5: 10.6000 10.4000 6: 10.7000 12.0000 7: 10.7050 28.6000 8: 10.8000 30.2000 9: 11.4000 30.6000 10: 19.6000 30.6000 11: 20.2000 30.2000 12: 20.2950 28.6000 13: 20.3000 12.0000 14: 20.4000 10.4000 15: 21.0000 10.0000 16: 26.0000 8.66000 17: 29.6600 5.00000 18: 31.0000 0.00000 L2 interpolation error averaged per interpolant node = 18.0860 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 0.146516E+15 TEST01: Interpolate data from TEST_INTERP problem # 2 using radial basis function "phi6". Scale factor R0 = 5.47059 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 1.34000 5.00000 3: 5.00000 8.66000 4: 10.0000 10.0000 5: 10.6000 10.4000 6: 10.7000 12.0000 7: 10.7050 28.6000 8: 10.8000 30.2000 9: 11.4000 30.6000 10: 19.6000 30.6000 11: 20.2000 30.2000 12: 20.2950 28.6000 13: 20.3000 12.0000 14: 20.4000 10.4000 15: 21.0000 10.0000 16: 26.0000 8.66000 17: 29.6600 5.00000 18: 31.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.248783E-07 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 377354. TEST01: Interpolate data from TEST_INTERP problem # 2 using radial basis function "phi7". Scale factor R0 = 5.47059 Number of data points = 18 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 1.34000 5.00000 3: 5.00000 8.66000 4: 10.0000 10.0000 5: 10.6000 10.4000 6: 10.7000 12.0000 7: 10.7050 28.6000 8: 10.8000 30.2000 9: 11.4000 30.6000 10: 19.6000 30.6000 11: 20.2000 30.2000 12: 20.2950 28.6000 13: 20.3000 12.0000 14: 20.4000 10.4000 15: 21.0000 10.0000 16: 26.0000 8.66000 17: 29.6600 5.00000 18: 31.0000 0.00000 L2 interpolation error averaged per interpolant node = 0.230032E-04 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of polynomial interpolant = 0.188718E+09 TEST01: Interpolate data from TEST_INTERP problem # 3 using radial basis function "phi1". Scale factor R0 = 4.50000 Number of data points = 11 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 2.00000 10.0000 3: 3.00000 10.0000 4: 5.00000 10.0000 5: 6.00000 10.0000 6: 8.00000 10.0000 7: 9.00000 10.5000 8: 11.0000 15.0000 9: 12.0000 50.0000 10: 14.0000 60.0000 11: 15.0000 85.0000 L2 interpolation error averaged per interpolant node = 0.618730E-11 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 1.97949 TEST01: Interpolate data from TEST_INTERP problem # 3 using radial basis function "phi2". Scale factor R0 = 4.50000 Number of data points = 11 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 2.00000 10.0000 3: 3.00000 10.0000 4: 5.00000 10.0000 5: 6.00000 10.0000 6: 8.00000 10.0000 7: 9.00000 10.5000 8: 11.0000 15.0000 9: 12.0000 50.0000 10: 14.0000 60.0000 11: 15.0000 85.0000 L2 interpolation error averaged per interpolant node = 0.852761E-12 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 1.96310 TEST01: Interpolate data from TEST_INTERP problem # 3 using radial basis function "phi3". Scale factor R0 = 4.50000 Number of data points = 11 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 2.00000 10.0000 3: 3.00000 10.0000 4: 5.00000 10.0000 5: 6.00000 10.0000 6: 8.00000 10.0000 7: 9.00000 10.5000 8: 11.0000 15.0000 9: 12.0000 50.0000 10: 14.0000 60.0000 11: 15.0000 85.0000 L2 interpolation error averaged per interpolant node = 0.114130E-12 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 1.76300 TEST01: Interpolate data from TEST_INTERP problem # 3 using radial basis function "phi4". Scale factor R0 = 4.50000 Number of data points = 11 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 2.00000 10.0000 3: 3.00000 10.0000 4: 5.00000 10.0000 5: 6.00000 10.0000 6: 8.00000 10.0000 7: 9.00000 10.5000 8: 11.0000 15.0000 9: 12.0000 50.0000 10: 14.0000 60.0000 11: 15.0000 85.0000 L2 interpolation error averaged per interpolant node = 0.107628E-06 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 2.91131 TEST01: Interpolate data from TEST_INTERP problem # 3 using radial basis function "phi5". Scale factor R0 = 4.50000 Number of data points = 11 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 2.00000 10.0000 3: 3.00000 10.0000 4: 5.00000 10.0000 5: 6.00000 10.0000 6: 8.00000 10.0000 7: 9.00000 10.5000 8: 11.0000 15.0000 9: 12.0000 50.0000 10: 14.0000 60.0000 11: 15.0000 85.0000 L2 interpolation error averaged per interpolant node = 0.752890E-13 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 3.91473 TEST01: Interpolate data from TEST_INTERP problem # 3 using radial basis function "phi6". Scale factor R0 = 4.50000 Number of data points = 11 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 2.00000 10.0000 3: 3.00000 10.0000 4: 5.00000 10.0000 5: 6.00000 10.0000 6: 8.00000 10.0000 7: 9.00000 10.5000 8: 11.0000 15.0000 9: 12.0000 50.0000 10: 14.0000 60.0000 11: 15.0000 85.0000 L2 interpolation error averaged per interpolant node = 0.243615E-13 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 2.94838 TEST01: Interpolate data from TEST_INTERP problem # 3 using radial basis function "phi7". Scale factor R0 = 4.50000 Number of data points = 11 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 2.00000 10.0000 3: 3.00000 10.0000 4: 5.00000 10.0000 5: 6.00000 10.0000 6: 8.00000 10.0000 7: 9.00000 10.5000 8: 11.0000 15.0000 9: 12.0000 50.0000 10: 14.0000 60.0000 11: 15.0000 85.0000 L2 interpolation error averaged per interpolant node = 0.764307E-14 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of polynomial interpolant = 3.47774 TEST01: Interpolate data from TEST_INTERP problem # 4 using radial basis function "phi1". Scale factor R0 = 0.428571 Number of data points = 8 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.500000E-01 0.700000 3: 0.100000 1.00000 4: 0.200000 1.00000 5: 0.800000 0.300000 6: 0.850000 0.500000E-01 7: 0.900000 0.100000 8: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.938565E-12 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 6.06069 TEST01: Interpolate data from TEST_INTERP problem # 4 using radial basis function "phi2". Scale factor R0 = 0.428571 Number of data points = 8 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.500000E-01 0.700000 3: 0.100000 1.00000 4: 0.200000 1.00000 5: 0.800000 0.300000 6: 0.850000 0.500000E-01 7: 0.900000 0.100000 8: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.259495E-12 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 5.62911 TEST01: Interpolate data from TEST_INTERP problem # 4 using radial basis function "phi3". Scale factor R0 = 0.428571 Number of data points = 8 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.500000E-01 0.700000 3: 0.100000 1.00000 4: 0.200000 1.00000 5: 0.800000 0.300000 6: 0.850000 0.500000E-01 7: 0.900000 0.100000 8: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.485369E-14 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 3.89665 TEST01: Interpolate data from TEST_INTERP problem # 4 using radial basis function "phi4". Scale factor R0 = 0.428571 Number of data points = 8 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.500000E-01 0.700000 3: 0.100000 1.00000 4: 0.200000 1.00000 5: 0.800000 0.300000 6: 0.850000 0.500000E-01 7: 0.900000 0.100000 8: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.155165E-09 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 6.12696 TEST01: Interpolate data from TEST_INTERP problem # 4 using radial basis function "phi5". Scale factor R0 = 0.428571 Number of data points = 8 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.500000E-01 0.700000 3: 0.100000 1.00000 4: 0.200000 1.00000 5: 0.800000 0.300000 6: 0.850000 0.500000E-01 7: 0.900000 0.100000 8: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 1.79509 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 0.186443E+16 TEST01: Interpolate data from TEST_INTERP problem # 4 using radial basis function "phi6". Scale factor R0 = 0.428571 Number of data points = 8 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.500000E-01 0.700000 3: 0.100000 1.00000 4: 0.200000 1.00000 5: 0.800000 0.300000 6: 0.850000 0.500000E-01 7: 0.900000 0.100000 8: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.625387E-14 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 27.3926 TEST01: Interpolate data from TEST_INTERP problem # 4 using radial basis function "phi7". Scale factor R0 = 0.428571 Number of data points = 8 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.500000E-01 0.700000 3: 0.100000 1.00000 4: 0.200000 1.00000 5: 0.800000 0.300000 6: 0.850000 0.500000E-01 7: 0.900000 0.100000 8: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.808159E-14 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of polynomial interpolant = 91.2043 TEST01: Interpolate data from TEST_INTERP problem # 5 using radial basis function "phi1". Scale factor R0 = 0.375000 Number of data points = 9 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.500000E-01 7: 0.600000 0.500000E-01 8: 0.800000 0.200000 9: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.100138E-11 Normalized length of piecewise linear interpolant = 3.22180 Normalized length of polynomial interpolant = 4.43342 TEST01: Interpolate data from TEST_INTERP problem # 5 using radial basis function "phi2". Scale factor R0 = 0.375000 Number of data points = 9 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.500000E-01 7: 0.600000 0.500000E-01 8: 0.800000 0.200000 9: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.104850E-12 Normalized length of piecewise linear interpolant = 3.22180 Normalized length of polynomial interpolant = 4.12867 TEST01: Interpolate data from TEST_INTERP problem # 5 using radial basis function "phi3". Scale factor R0 = 0.375000 Number of data points = 9 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.500000E-01 7: 0.600000 0.500000E-01 8: 0.800000 0.200000 9: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.148863E-14 Normalized length of piecewise linear interpolant = 3.22180 Normalized length of polynomial interpolant = 3.39954 TEST01: Interpolate data from TEST_INTERP problem # 5 using radial basis function "phi4". Scale factor R0 = 0.375000 Number of data points = 9 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.500000E-01 7: 0.600000 0.500000E-01 8: 0.800000 0.200000 9: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.177383E-08 Normalized length of piecewise linear interpolant = 3.22180 Normalized length of polynomial interpolant = 19.0995 TEST01: Interpolate data from TEST_INTERP problem # 5 using radial basis function "phi5". Scale factor R0 = 0.375000 Number of data points = 9 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.500000E-01 7: 0.600000 0.500000E-01 8: 0.800000 0.200000 9: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.145286E-13 Normalized length of piecewise linear interpolant = 3.22180 Normalized length of polynomial interpolant = 123.221 TEST01: Interpolate data from TEST_INTERP problem # 5 using radial basis function "phi6". Scale factor R0 = 0.375000 Number of data points = 9 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.500000E-01 7: 0.600000 0.500000E-01 8: 0.800000 0.200000 9: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.257498E-14 Normalized length of piecewise linear interpolant = 3.22180 Normalized length of polynomial interpolant = 23.6058 TEST01: Interpolate data from TEST_INTERP problem # 5 using radial basis function "phi7". Scale factor R0 = 0.375000 Number of data points = 9 Data array: Row 1 2 Col 1: 0.00000 0.00000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.500000E-01 7: 0.600000 0.500000E-01 8: 0.800000 0.200000 9: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.233517E-15 Normalized length of piecewise linear interpolant = 3.22180 Normalized length of polynomial interpolant = 7.29382 TEST01: Interpolate data from TEST_INTERP problem # 6 using radial basis function "phi1". Scale factor R0 = 30.0000 Number of data points = 49 Data array: Row 1 2 Col 1: 595.000 0.644000 2: 605.000 0.622000 3: 615.000 0.638000 4: 625.000 0.649000 5: 635.000 0.652000 6: 645.000 0.639000 7: 655.000 0.646000 8: 665.000 0.657000 9: 675.000 0.652000 10: 685.000 0.655000 11: 695.000 0.644000 12: 705.000 0.663000 13: 715.000 0.663000 14: 725.000 0.668000 15: 735.000 0.676000 16: 745.000 0.676000 17: 755.000 0.686000 18: 765.000 0.679000 19: 775.000 0.678000 20: 785.000 0.683000 21: 795.000 0.694000 22: 805.000 0.699000 23: 815.000 0.710000 24: 825.000 0.730000 25: 835.000 0.763000 26: 845.000 0.812000 27: 855.000 0.907000 28: 865.000 1.04400 29: 875.000 1.33600 30: 885.000 1.88100 31: 895.000 2.16900 32: 905.000 2.07500 33: 915.000 1.59800 34: 925.000 1.21100 35: 935.000 0.916000 36: 945.000 0.746000 37: 955.000 0.672000 38: 965.000 0.627000 39: 975.000 0.615000 40: 985.000 0.607000 41: 995.000 0.606000 42: 1005.00 0.609000 43: 1015.00 0.603000 44: 1025.00 0.601000 45: 1035.00 0.603000 46: 1045.00 0.601000 47: 1055.00 0.611000 48: 1065.00 0.601000 49: 1075.00 0.608000 L2 interpolation error averaged per interpolant node = 0.538241E-11 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 2.71561 TEST01: Interpolate data from TEST_INTERP problem # 6 using radial basis function "phi2". Scale factor R0 = 30.0000 Number of data points = 49 Data array: Row 1 2 Col 1: 595.000 0.644000 2: 605.000 0.622000 3: 615.000 0.638000 4: 625.000 0.649000 5: 635.000 0.652000 6: 645.000 0.639000 7: 655.000 0.646000 8: 665.000 0.657000 9: 675.000 0.652000 10: 685.000 0.655000 11: 695.000 0.644000 12: 705.000 0.663000 13: 715.000 0.663000 14: 725.000 0.668000 15: 735.000 0.676000 16: 745.000 0.676000 17: 755.000 0.686000 18: 765.000 0.679000 19: 775.000 0.678000 20: 785.000 0.683000 21: 795.000 0.694000 22: 805.000 0.699000 23: 815.000 0.710000 24: 825.000 0.730000 25: 835.000 0.763000 26: 845.000 0.812000 27: 855.000 0.907000 28: 865.000 1.04400 29: 875.000 1.33600 30: 885.000 1.88100 31: 895.000 2.16900 32: 905.000 2.07500 33: 915.000 1.59800 34: 925.000 1.21100 35: 935.000 0.916000 36: 945.000 0.746000 37: 955.000 0.672000 38: 965.000 0.627000 39: 975.000 0.615000 40: 985.000 0.607000 41: 995.000 0.606000 42: 1005.00 0.609000 43: 1015.00 0.603000 44: 1025.00 0.601000 45: 1035.00 0.603000 46: 1045.00 0.601000 47: 1055.00 0.611000 48: 1065.00 0.601000 49: 1075.00 0.608000 L2 interpolation error averaged per interpolant node = 0.696800E-13 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 2.71380 TEST01: Interpolate data from TEST_INTERP problem # 6 using radial basis function "phi3". Scale factor R0 = 30.0000 Number of data points = 49 Data array: Row 1 2 Col 1: 595.000 0.644000 2: 605.000 0.622000 3: 615.000 0.638000 4: 625.000 0.649000 5: 635.000 0.652000 6: 645.000 0.639000 7: 655.000 0.646000 8: 665.000 0.657000 9: 675.000 0.652000 10: 685.000 0.655000 11: 695.000 0.644000 12: 705.000 0.663000 13: 715.000 0.663000 14: 725.000 0.668000 15: 735.000 0.676000 16: 745.000 0.676000 17: 755.000 0.686000 18: 765.000 0.679000 19: 775.000 0.678000 20: 785.000 0.683000 21: 795.000 0.694000 22: 805.000 0.699000 23: 815.000 0.710000 24: 825.000 0.730000 25: 835.000 0.763000 26: 845.000 0.812000 27: 855.000 0.907000 28: 865.000 1.04400 29: 875.000 1.33600 30: 885.000 1.88100 31: 895.000 2.16900 32: 905.000 2.07500 33: 915.000 1.59800 34: 925.000 1.21100 35: 935.000 0.916000 36: 945.000 0.746000 37: 955.000 0.672000 38: 965.000 0.627000 39: 975.000 0.615000 40: 985.000 0.607000 41: 995.000 0.606000 42: 1005.00 0.609000 43: 1015.00 0.603000 44: 1025.00 0.601000 45: 1035.00 0.603000 46: 1045.00 0.601000 47: 1055.00 0.611000 48: 1065.00 0.601000 49: 1075.00 0.608000 L2 interpolation error averaged per interpolant node = 0.259805E-12 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 2.70318 TEST01: Interpolate data from TEST_INTERP problem # 6 using radial basis function "phi4". Scale factor R0 = 30.0000 Number of data points = 49 Data array: Row 1 2 Col 1: 595.000 0.644000 2: 605.000 0.622000 3: 615.000 0.638000 4: 625.000 0.649000 5: 635.000 0.652000 6: 645.000 0.639000 7: 655.000 0.646000 8: 665.000 0.657000 9: 675.000 0.652000 10: 685.000 0.655000 11: 695.000 0.644000 12: 705.000 0.663000 13: 715.000 0.663000 14: 725.000 0.668000 15: 735.000 0.676000 16: 745.000 0.676000 17: 755.000 0.686000 18: 765.000 0.679000 19: 775.000 0.678000 20: 785.000 0.683000 21: 795.000 0.694000 22: 805.000 0.699000 23: 815.000 0.710000 24: 825.000 0.730000 25: 835.000 0.763000 26: 845.000 0.812000 27: 855.000 0.907000 28: 865.000 1.04400 29: 875.000 1.33600 30: 885.000 1.88100 31: 895.000 2.16900 32: 905.000 2.07500 33: 915.000 1.59800 34: 925.000 1.21100 35: 935.000 0.916000 36: 945.000 0.746000 37: 955.000 0.672000 38: 965.000 0.627000 39: 975.000 0.615000 40: 985.000 0.607000 41: 995.000 0.606000 42: 1005.00 0.609000 43: 1015.00 0.603000 44: 1025.00 0.601000 45: 1035.00 0.603000 46: 1045.00 0.601000 47: 1055.00 0.611000 48: 1065.00 0.601000 49: 1075.00 0.608000 L2 interpolation error averaged per interpolant node = 0.250863E-01 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 28.3907 TEST01: Interpolate data from TEST_INTERP problem # 6 using radial basis function "phi5". Scale factor R0 = 30.0000 Number of data points = 49 Data array: Row 1 2 Col 1: 595.000 0.644000 2: 605.000 0.622000 3: 615.000 0.638000 4: 625.000 0.649000 5: 635.000 0.652000 6: 645.000 0.639000 7: 655.000 0.646000 8: 665.000 0.657000 9: 675.000 0.652000 10: 685.000 0.655000 11: 695.000 0.644000 12: 705.000 0.663000 13: 715.000 0.663000 14: 725.000 0.668000 15: 735.000 0.676000 16: 745.000 0.676000 17: 755.000 0.686000 18: 765.000 0.679000 19: 775.000 0.678000 20: 785.000 0.683000 21: 795.000 0.694000 22: 805.000 0.699000 23: 815.000 0.710000 24: 825.000 0.730000 25: 835.000 0.763000 26: 845.000 0.812000 27: 855.000 0.907000 28: 865.000 1.04400 29: 875.000 1.33600 30: 885.000 1.88100 31: 895.000 2.16900 32: 905.000 2.07500 33: 915.000 1.59800 34: 925.000 1.21100 35: 935.000 0.916000 36: 945.000 0.746000 37: 955.000 0.672000 38: 965.000 0.627000 39: 975.000 0.615000 40: 985.000 0.607000 41: 995.000 0.606000 42: 1005.00 0.609000 43: 1015.00 0.603000 44: 1025.00 0.601000 45: 1035.00 0.603000 46: 1045.00 0.601000 47: 1055.00 0.611000 48: 1065.00 0.601000 49: 1075.00 0.608000 L2 interpolation error averaged per interpolant node = 0.171927E-14 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 4.14595 TEST01: Interpolate data from TEST_INTERP problem # 6 using radial basis function "phi6". Scale factor R0 = 30.0000 Number of data points = 49 Data array: Row 1 2 Col 1: 595.000 0.644000 2: 605.000 0.622000 3: 615.000 0.638000 4: 625.000 0.649000 5: 635.000 0.652000 6: 645.000 0.639000 7: 655.000 0.646000 8: 665.000 0.657000 9: 675.000 0.652000 10: 685.000 0.655000 11: 695.000 0.644000 12: 705.000 0.663000 13: 715.000 0.663000 14: 725.000 0.668000 15: 735.000 0.676000 16: 745.000 0.676000 17: 755.000 0.686000 18: 765.000 0.679000 19: 775.000 0.678000 20: 785.000 0.683000 21: 795.000 0.694000 22: 805.000 0.699000 23: 815.000 0.710000 24: 825.000 0.730000 25: 835.000 0.763000 26: 845.000 0.812000 27: 855.000 0.907000 28: 865.000 1.04400 29: 875.000 1.33600 30: 885.000 1.88100 31: 895.000 2.16900 32: 905.000 2.07500 33: 915.000 1.59800 34: 925.000 1.21100 35: 935.000 0.916000 36: 945.000 0.746000 37: 955.000 0.672000 38: 965.000 0.627000 39: 975.000 0.615000 40: 985.000 0.607000 41: 995.000 0.606000 42: 1005.00 0.609000 43: 1015.00 0.603000 44: 1025.00 0.601000 45: 1035.00 0.603000 46: 1045.00 0.601000 47: 1055.00 0.611000 48: 1065.00 0.601000 49: 1075.00 0.608000 L2 interpolation error averaged per interpolant node = 0.337910E-15 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 7.26466 TEST01: Interpolate data from TEST_INTERP problem # 6 using radial basis function "phi7". Scale factor R0 = 30.0000 Number of data points = 49 Data array: Row 1 2 Col 1: 595.000 0.644000 2: 605.000 0.622000 3: 615.000 0.638000 4: 625.000 0.649000 5: 635.000 0.652000 6: 645.000 0.639000 7: 655.000 0.646000 8: 665.000 0.657000 9: 675.000 0.652000 10: 685.000 0.655000 11: 695.000 0.644000 12: 705.000 0.663000 13: 715.000 0.663000 14: 725.000 0.668000 15: 735.000 0.676000 16: 745.000 0.676000 17: 755.000 0.686000 18: 765.000 0.679000 19: 775.000 0.678000 20: 785.000 0.683000 21: 795.000 0.694000 22: 805.000 0.699000 23: 815.000 0.710000 24: 825.000 0.730000 25: 835.000 0.763000 26: 845.000 0.812000 27: 855.000 0.907000 28: 865.000 1.04400 29: 875.000 1.33600 30: 885.000 1.88100 31: 895.000 2.16900 32: 905.000 2.07500 33: 915.000 1.59800 34: 925.000 1.21100 35: 935.000 0.916000 36: 945.000 0.746000 37: 955.000 0.672000 38: 965.000 0.627000 39: 975.000 0.615000 40: 985.000 0.607000 41: 995.000 0.606000 42: 1005.00 0.609000 43: 1015.00 0.603000 44: 1025.00 0.601000 45: 1035.00 0.603000 46: 1045.00 0.601000 47: 1055.00 0.611000 48: 1065.00 0.601000 49: 1075.00 0.608000 L2 interpolation error averaged per interpolant node = 0.203313E-15 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of polynomial interpolant = 8.15286 TEST01: Interpolate data from TEST_INTERP problem # 7 using radial basis function "phi1". Scale factor R0 = 5.00000 Number of data points = 4 Data array: Row 1 2 Col 1: 0.00000 1.00000 2: 1.00000 2.00000 3: 4.00000 2.00000 4: 5.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.293502E-13 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 3.53024 TEST01: Interpolate data from TEST_INTERP problem # 7 using radial basis function "phi2". Scale factor R0 = 5.00000 Number of data points = 4 Data array: Row 1 2 Col 1: 0.00000 1.00000 2: 1.00000 2.00000 3: 4.00000 2.00000 4: 5.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.161346E-13 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 3.68427 TEST01: Interpolate data from TEST_INTERP problem # 7 using radial basis function "phi3". Scale factor R0 = 5.00000 Number of data points = 4 Data array: Row 1 2 Col 1: 0.00000 1.00000 2: 1.00000 2.00000 3: 4.00000 2.00000 4: 5.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.668443E-15 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 3.99477 TEST01: Interpolate data from TEST_INTERP problem # 7 using radial basis function "phi4". Scale factor R0 = 5.00000 Number of data points = 4 Data array: Row 1 2 Col 1: 0.00000 1.00000 2: 1.00000 2.00000 3: 4.00000 2.00000 4: 5.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.153066E-13 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 3.48174 TEST01: Interpolate data from TEST_INTERP problem # 7 using radial basis function "phi5". Scale factor R0 = 5.00000 Number of data points = 4 Data array: Row 1 2 Col 1: 0.00000 1.00000 2: 1.00000 2.00000 3: 4.00000 2.00000 4: 5.00000 1.00000 L2 interpolation error averaged per interpolant node = 5.48870 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 22.4280 TEST01: Interpolate data from TEST_INTERP problem # 7 using radial basis function "phi6". Scale factor R0 = 5.00000 Number of data points = 4 Data array: Row 1 2 Col 1: 0.00000 1.00000 2: 1.00000 2.00000 3: 4.00000 2.00000 4: 5.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.102658E-14 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 3.38770 TEST01: Interpolate data from TEST_INTERP problem # 7 using radial basis function "phi7". Scale factor R0 = 5.00000 Number of data points = 4 Data array: Row 1 2 Col 1: 0.00000 1.00000 2: 1.00000 2.00000 3: 4.00000 2.00000 4: 5.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.392523E-15 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of polynomial interpolant = 3.59440 TEST01: Interpolate data from TEST_INTERP problem # 8 using radial basis function "phi1". Scale factor R0 = 0.545455 Number of data points = 12 Data array: Row 1 2 Col 1: -1.00000 1.00000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.400000E-01 6: 0.00000 0.00000 7: 0.200000 0.400000E-01 8: 0.200010 0.500000E-01 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.118790E-04 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 852.790 TEST01: Interpolate data from TEST_INTERP problem # 8 using radial basis function "phi2". Scale factor R0 = 0.545455 Number of data points = 12 Data array: Row 1 2 Col 1: -1.00000 1.00000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.400000E-01 6: 0.00000 0.00000 7: 0.200000 0.400000E-01 8: 0.200010 0.500000E-01 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.804486E-06 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 732.405 TEST01: Interpolate data from TEST_INTERP problem # 8 using radial basis function "phi3". Scale factor R0 = 0.545455 Number of data points = 12 Data array: Row 1 2 Col 1: -1.00000 1.00000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.400000E-01 6: 0.00000 0.00000 7: 0.200000 0.400000E-01 8: 0.200010 0.500000E-01 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.176364E-09 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 28.0959 TEST01: Interpolate data from TEST_INTERP problem # 8 using radial basis function "phi4". Scale factor R0 = 0.545455 Number of data points = 12 Data array: Row 1 2 Col 1: -1.00000 1.00000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.400000E-01 6: 0.00000 0.00000 7: 0.200000 0.400000E-01 8: 0.200010 0.500000E-01 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.295844E-01 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 739.569 TEST01: Interpolate data from TEST_INTERP problem # 8 using radial basis function "phi5". Scale factor R0 = 0.545455 Number of data points = 12 Data array: Row 1 2 Col 1: -1.00000 1.00000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.400000E-01 6: 0.00000 0.00000 7: 0.200000 0.400000E-01 8: 0.200010 0.500000E-01 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.554108E-10 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 788.055 TEST01: Interpolate data from TEST_INTERP problem # 8 using radial basis function "phi6". Scale factor R0 = 0.545455 Number of data points = 12 Data array: Row 1 2 Col 1: -1.00000 1.00000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.400000E-01 6: 0.00000 0.00000 7: 0.200000 0.400000E-01 8: 0.200010 0.500000E-01 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.706601E-09 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 3538.77 TEST01: Interpolate data from TEST_INTERP problem # 8 using radial basis function "phi7". Scale factor R0 = 0.545455 Number of data points = 12 Data array: Row 1 2 Col 1: -1.00000 1.00000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.400000E-01 6: 0.00000 0.00000 7: 0.200000 0.400000E-01 8: 0.200010 0.500000E-01 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.147378E-08 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of polynomial interpolant = 14681.6 RBF_INTERP_1D_TEST: Normal end of execution. 14 September 2021 10:27:49.524 AM