15 September 2021 8:27:04.150 AM LAGRANGE_INTERP_1D_TEST: FORTRAN90 version Test the LAGRANGE_INTERP_1D library. The R8LIB library is needed. The tests needs the TEST_INTERP_1D library. LAGRANGE_BASIS_1D_TEST: LAGRANGE_BASIS_1D evaluates the Lagrange 1D basis functions. The Lagrange basis functions: Col 1 2 3 4 Row 1: 1.00000 0.00000 -0.00000 0.00000 2: 0.641250 0.445312 -0.950000E-01 0.843750E-02 3: 0.360000 0.750000 -0.120000 0.100000E-01 4: 0.148750 0.929688 -0.850000E-01 0.656250E-02 5: -0.00000 1.00000 0.00000 -0.00000 6: -0.937500E-01 0.976562 0.125000 -0.781250E-02 7: -0.140000 0.875000 0.280000 -0.150000E-01 8: -0.146250 0.710938 0.455000 -0.196875E-01 9: -0.120000 0.500000 0.640000 -0.200000E-01 10: -0.687500E-01 0.257812 0.825000 -0.140625E-01 11: 0.00000 -0.00000 1.00000 0.00000 12: 0.787500E-01 -0.257812 1.15500 0.240625E-01 13: 0.160000 -0.500000 1.28000 0.600000E-01 14: 0.236250 -0.710938 1.36500 0.109688 15: 0.300000 -0.875000 1.40000 0.175000 16: 0.343750 -0.976563 1.37500 0.257812 17: 0.360000 -1.00000 1.28000 0.360000 18: 0.341250 -0.929688 1.10500 0.483437 19: 0.280000 -0.750000 0.840000 0.630000 20: 0.168750 -0.445312 0.475000 0.801563 21: -0.00000 0.00000 -0.00000 1.00000 LAGRANGE_VALUE_1D_TEST: LAGRANGE_VALUE_1D evaluates a Lagrange 1D interpolant. Table of interpolant values: 1 0.00000 -28.0000 2 0.500000 -11.3750 3 1.00000 -0.177636E-14 4 1.50000 6.87500 5 2.00000 10.0000 6 2.50000 10.1250 7 3.00000 8.00000 8 3.50000 4.37500 9 4.00000 -0.177636E-14 10 4.50000 -4.37500 11 5.00000 -8.00000 12 5.50000 -10.1250 13 6.00000 -10.0000 14 6.50000 -6.87500 15 7.00000 0.00000 16 7.50000 11.3750 17 8.00000 28.0000 18 8.50000 50.6250 19 9.00000 80.0000 20 9.50000 116.875 21 10.0000 162.000 TEST01: Interpolate data from TEST_INTERP_1D problem # 1 Use even spacing for data points. Number of data points = 4 Data array: 1 0.00000 -1.00000 2 0.333333 -1.00000 3 0.666667 2.00000 4 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.85883 Normalized length of polynomial interpolant = 2.48638 TEST01: Interpolate data from TEST_INTERP_1D problem # 1 Use even spacing for data points. Number of data points = 8 Data array: 1 0.00000 -1.00000 2 0.142857 -1.00000 3 0.285714 -1.00000 4 0.428571 2.00000 5 0.571429 2.00000 6 0.714286 2.00000 7 0.857143 1.00000 8 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.08709 Normalized length of polynomial interpolant = 5.83892 TEST01: Interpolate data from TEST_INTERP_1D problem # 1 Use even spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.20882 Normalized length of polynomial interpolant = 147.790 TEST01: Interpolate data from TEST_INTERP_1D problem # 1 Use even spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.27089 Normalized length of polynomial interpolant = 796416. TEST01: Interpolate data from TEST_INTERP_1D problem # 1 Use even spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.30209 Normalized length of polynomial interpolant = 0.194130E+15 TEST01: Interpolate data from TEST_INTERP_1D problem # 1 Use even spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.32552 Normalized length of polynomial interpolant = 0.649646E+66 TEST01: Interpolate data from TEST_INTERP_1D problem # 2 Use even spacing for data points. Number of data points = 4 Data array: 1 0.00000 1.00000 2 0.333333 0.00000 3 0.666667 2.00000 4 1.00000 4.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61852 Normalized length of polynomial interpolant = 1.70739 TEST01: Interpolate data from TEST_INTERP_1D problem # 2 Use even spacing for data points. Number of data points = 8 Data array: 1 0.00000 1.00000 2 0.142857 0.571429 3 0.285714 0.142857 4 0.428571 0.571429 5 0.571429 1.42857 6 0.714286 2.28571 7 0.857143 3.14286 8 1.00000 4.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.59966 Normalized length of polynomial interpolant = 1.63623 TEST01: Interpolate data from TEST_INTERP_1D problem # 2 Use even spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61852 Normalized length of polynomial interpolant = 9.25225 TEST01: Interpolate data from TEST_INTERP_1D problem # 2 Use even spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61449 Normalized length of polynomial interpolant = 1183.02 TEST01: Interpolate data from TEST_INTERP_1D problem # 2 Use even spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61852 Normalized length of polynomial interpolant = 0.238644E+13 TEST01: Interpolate data from TEST_INTERP_1D problem # 2 Use even spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61852 Normalized length of polynomial interpolant = 0.192585E+64 TEST01: Interpolate data from TEST_INTERP_1D problem # 3 Use even spacing for data points. Number of data points = 4 Data array: 1 0.00000 -0.00000 2 0.333333 0.119067 3 0.666667 1.64170 4 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.38078 Normalized length of polynomial interpolant = 2.86543 TEST01: Interpolate data from TEST_INTERP_1D problem # 3 Use even spacing for data points. Number of data points = 8 Data array: 1 0.00000 -0.00000 2 0.142857 0.245377 3 0.285714 0.279339 4 0.428571 0.276823E-01 5 0.571429 0.945157 6 0.714286 1.68054 7 0.857143 -0.138391 8 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.66447 Normalized length of polynomial interpolant = 4.21154 TEST01: Interpolate data from TEST_INTERP_1D problem # 3 Use even spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.74314 Normalized length of polynomial interpolant = 2.83918 TEST01: Interpolate data from TEST_INTERP_1D problem # 3 Use even spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.77246 Normalized length of polynomial interpolant = 2.79515 TEST01: Interpolate data from TEST_INTERP_1D problem # 3 Use even spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.77759 Normalized length of polynomial interpolant = 7.33489 TEST01: Interpolate data from TEST_INTERP_1D problem # 3 Use even spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.78044 Normalized length of polynomial interpolant = 0.213127E+57 TEST01: Interpolate data from TEST_INTERP_1D problem # 4 Use even spacing for data points. Number of data points = 4 Data array: 1 0.00000 -1.50423 2 0.333333 -1.03038 3 0.666667 1.48529 4 1.00000 1.53082 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.59514 Normalized length of polynomial interpolant = 1.96499 TEST01: Interpolate data from TEST_INTERP_1D problem # 4 Use even spacing for data points. Number of data points = 8 Data array: 1 0.00000 -1.50423 2 0.142857 -1.46352 3 0.285714 -1.29779 4 0.428571 1.13417 5 0.571429 1.44420 6 0.714286 1.49725 7 0.857143 1.51899 8 1.00000 1.53082 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.71584 Normalized length of polynomial interpolant = 3.72616 TEST01: Interpolate data from TEST_INTERP_1D problem # 4 Use even spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.72771 Normalized length of polynomial interpolant = 50.5551 TEST01: Interpolate data from TEST_INTERP_1D problem # 4 Use even spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.73362 Normalized length of polynomial interpolant = 115373. TEST01: Interpolate data from TEST_INTERP_1D problem # 4 Use even spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.73515 Normalized length of polynomial interpolant = 0.172013E+13 TEST01: Interpolate data from TEST_INTERP_1D problem # 4 Use even spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.73562 Normalized length of polynomial interpolant = 0.814414E+60 TEST01: Interpolate data from TEST_INTERP_1D problem # 5 Use even spacing for data points. Number of data points = 4 Data array: 1 0.00000 16.0000 2 0.333333 -10.9610 3 0.666667 -1.70409 4 1.00000 13.3791 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.18385 Normalized length of polynomial interpolant = 2.24240 TEST01: Interpolate data from TEST_INTERP_1D problem # 5 Use even spacing for data points. Number of data points = 8 Data array: 1 0.00000 16.0000 2 0.142857 -6.20529 3 0.285714 -4.03377 4 0.428571 -1.54321 5 0.571429 7.00912 6 0.714286 0.545036 7 0.857143 -12.9168 8 1.00000 13.3791 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 3.11050 Normalized length of polynomial interpolant = 3.35720 TEST01: Interpolate data from TEST_INTERP_1D problem # 5 Use even spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 7.14285 Normalized length of polynomial interpolant = 56.0722 TEST01: Interpolate data from TEST_INTERP_1D problem # 5 Use even spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 9.29070 Normalized length of polynomial interpolant = 41714.4 TEST01: Interpolate data from TEST_INTERP_1D problem # 5 Use even spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 9.61503 Normalized length of polynomial interpolant = 14.3711 TEST01: Interpolate data from TEST_INTERP_1D problem # 5 Use even spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 9.80647 Normalized length of polynomial interpolant = 0.106690E+58 TEST01: Interpolate data from TEST_INTERP_1D problem # 6 Use even spacing for data points. Number of data points = 4 Data array: 1 0.00000 0.367879 2 0.333333 0.894839 3 0.666667 0.621765E-01 4 1.00000 0.123410E-03 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.00577 Normalized length of polynomial interpolant = 2.52253 TEST01: Interpolate data from TEST_INTERP_1D problem # 6 Use even spacing for data points. Number of data points = 8 Data array: 1 0.00000 0.367879 2 0.142857 0.832208 3 0.285714 0.979799 4 0.428571 0.600373 5 0.571429 0.191463 6 0.714286 0.317780E-01 7 0.857143 0.274504E-02 8 1.00000 0.123410E-03 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.06213 Normalized length of polynomial interpolant = 2.14003 TEST01: Interpolate data from TEST_INTERP_1D problem # 6 Use even spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.07905 Normalized length of polynomial interpolant = 2.09102 TEST01: Interpolate data from TEST_INTERP_1D problem # 6 Use even spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.08320 Normalized length of polynomial interpolant = 2.08600 TEST01: Interpolate data from TEST_INTERP_1D problem # 6 Use even spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.08417 Normalized length of polynomial interpolant = 14.4432 TEST01: Interpolate data from TEST_INTERP_1D problem # 6 Use even spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.08447 Normalized length of polynomial interpolant = 0.141252E+58 TEST01: Interpolate data from TEST_INTERP_1D problem # 7 Use even spacing for data points. Number of data points = 4 Data array: 1 0.00000 1.00000 2 0.333333 3.79367 3 0.666667 0.00000 4 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.19576 Normalized length of polynomial interpolant = 2.78067 TEST01: Interpolate data from TEST_INTERP_1D problem # 7 Use even spacing for data points. Number of data points = 8 Data array: 1 0.00000 1.00000 2 0.142857 1.77079 3 0.285714 3.13571 4 0.428571 5.55271 5 0.571429 0.00000 6 0.714286 0.00000 7 0.857143 0.00000 8 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.38035 Normalized length of polynomial interpolant = 7.29847 TEST01: Interpolate data from TEST_INTERP_1D problem # 7 Use even spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.45783 Normalized length of polynomial interpolant = 252.074 TEST01: Interpolate data from TEST_INTERP_1D problem # 7 Use even spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.49372 Normalized length of polynomial interpolant = 0.390874E+07 TEST01: Interpolate data from TEST_INTERP_1D problem # 7 Use even spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.51103 Normalized length of polynomial interpolant = 0.452691E+16 TEST01: Interpolate data from TEST_INTERP_1D problem # 7 Use even spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.52373 Normalized length of polynomial interpolant = 0.771921E+72 TEST01: Interpolate data from TEST_INTERP_1D problem # 8 Use even spacing for data points. Number of data points = 4 Data array: 1 0.00000 0.384615E-01 2 0.333333 0.264706 3 0.666667 0.264706 4 1.00000 0.384615E-01 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.44152 Normalized length of polynomial interpolant = 2.55037 TEST01: Interpolate data from TEST_INTERP_1D problem # 8 Use even spacing for data points. Number of data points = 8 Data array: 1 0.00000 0.384615E-01 2 0.142857 0.727003E-01 3 0.285714 0.178832 4 0.428571 0.662162 5 0.571429 0.662162 6 0.714286 0.178832 7 0.857143 0.727003E-01 8 1.00000 0.384615E-01 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.46930 Normalized length of polynomial interpolant = 3.75446 TEST01: Interpolate data from TEST_INTERP_1D problem # 8 Use even spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.46673 Normalized length of polynomial interpolant = 13.4716 TEST01: Interpolate data from TEST_INTERP_1D problem # 8 Use even spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.45344 Normalized length of polynomial interpolant = 3158.62 TEST01: Interpolate data from TEST_INTERP_1D problem # 8 Use even spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.44457 Normalized length of polynomial interpolant = 0.608771E+09 TEST01: Interpolate data from TEST_INTERP_1D problem # 8 Use even spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.43931 Normalized length of polynomial interpolant = 0.335868E+58 TEST02: Interpolate data from TEST_INTERP_1D problem # 1 Use Chebyshev spacing for data points. Number of data points = 4 Data array: 1 0.00000 -1.00000 2 0.250000 -1.00000 3 0.750000 2.00000 4 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.78470 Normalized length of polynomial interpolant = 1.95045 TEST02: Interpolate data from TEST_INTERP_1D problem # 1 Use Chebyshev spacing for data points. Number of data points = 8 Data array: 1 0.00000 -1.00000 2 0.495156E-01 -1.00000 3 0.188255 -1.00000 4 0.388740 2.00000 5 0.611260 2.00000 6 0.811745 1.00000 7 0.950484 1.00000 8 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.00791 Normalized length of polynomial interpolant = 2.40029 TEST02: Interpolate data from TEST_INTERP_1D problem # 1 Use Chebyshev spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.16839 Normalized length of polynomial interpolant = 2.96052 TEST02: Interpolate data from TEST_INTERP_1D problem # 1 Use Chebyshev spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.24719 Normalized length of polynomial interpolant = 3.52660 TEST02: Interpolate data from TEST_INTERP_1D problem # 1 Use Chebyshev spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.29090 Normalized length of polynomial interpolant = 4.23538 TEST02: Interpolate data from TEST_INTERP_1D problem # 1 Use Chebyshev spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.32265 Normalized length of polynomial interpolant = 5.27686 TEST02: Interpolate data from TEST_INTERP_1D problem # 2 Use Chebyshev spacing for data points. Number of data points = 4 Data array: 1 0.00000 1.00000 2 0.250000 0.250000 3 0.750000 2.50000 4 1.00000 4.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.57288 Normalized length of polynomial interpolant = 1.61239 TEST02: Interpolate data from TEST_INTERP_1D problem # 2 Use Chebyshev spacing for data points. Number of data points = 8 Data array: 1 0.00000 1.00000 2 0.495156E-01 0.851453 3 0.188255 0.435235 4 0.388740 0.332437 5 0.611260 1.66756 6 0.811745 2.87047 7 0.950484 3.70291 8 1.00000 4.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61767 Normalized length of polynomial interpolant = 1.64485 TEST02: Interpolate data from TEST_INTERP_1D problem # 2 Use Chebyshev spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61535 Normalized length of polynomial interpolant = 1.62787 TEST02: Interpolate data from TEST_INTERP_1D problem # 2 Use Chebyshev spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61493 Normalized length of polynomial interpolant = 1.61988 TEST02: Interpolate data from TEST_INTERP_1D problem # 2 Use Chebyshev spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61947 Normalized length of polynomial interpolant = 1.62215 TEST02: Interpolate data from TEST_INTERP_1D problem # 2 Use Chebyshev spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.61837 Normalized length of polynomial interpolant = 1.61902 TEST02: Interpolate data from TEST_INTERP_1D problem # 3 Use Chebyshev spacing for data points. Number of data points = 4 Data array: 1 0.00000 -0.00000 2 0.250000 0.379687 3 0.750000 1.49297 4 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.28519 Normalized length of polynomial interpolant = 2.43035 TEST02: Interpolate data from TEST_INTERP_1D problem # 3 Use Chebyshev spacing for data points. Number of data points = 8 Data array: 1 0.00000 -0.00000 2 0.495156E-01 -0.233633 3 0.188255 0.400150 4 0.388740 0.401283E-02 5 0.611260 1.29446 6 0.811745 0.705402 7 0.950484 -1.21883 8 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.78176 Normalized length of polynomial interpolant = 3.17146 TEST02: Interpolate data from TEST_INTERP_1D problem # 3 Use Chebyshev spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.78384 Normalized length of polynomial interpolant = 2.93189 TEST02: Interpolate data from TEST_INTERP_1D problem # 3 Use Chebyshev spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.78797 Normalized length of polynomial interpolant = 2.81159 TEST02: Interpolate data from TEST_INTERP_1D problem # 3 Use Chebyshev spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.77963 Normalized length of polynomial interpolant = 2.78531 TEST02: Interpolate data from TEST_INTERP_1D problem # 3 Use Chebyshev spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.78074 Normalized length of polynomial interpolant = 2.78099 TEST02: Interpolate data from TEST_INTERP_1D problem # 4 Use Chebyshev spacing for data points. Number of data points = 4 Data array: 1 0.00000 -1.50423 2 0.250000 -1.37340 3 0.750000 1.50423 4 1.00000 1.53082 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.57574 Normalized length of polynomial interpolant = 1.70206 TEST02: Interpolate data from TEST_INTERP_1D problem # 4 Use Chebyshev spacing for data points. Number of data points = 8 Data array: 1 0.00000 -1.50423 2 0.495156E-01 -1.49414 3 0.188255 -1.43772 4 0.388740 0.502522 5 0.611260 1.46537 6 0.811745 1.51362 7 0.950484 1.52738 8 1.00000 1.53082 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.63654 Normalized length of polynomial interpolant = 1.70880 TEST02: Interpolate data from TEST_INTERP_1D problem # 4 Use Chebyshev spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.72032 Normalized length of polynomial interpolant = 1.93553 TEST02: Interpolate data from TEST_INTERP_1D problem # 4 Use Chebyshev spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.73110 Normalized length of polynomial interpolant = 1.74357 TEST02: Interpolate data from TEST_INTERP_1D problem # 4 Use Chebyshev spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.73453 Normalized length of polynomial interpolant = 1.73798 TEST02: Interpolate data from TEST_INTERP_1D problem # 4 Use Chebyshev spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 1.73558 Normalized length of polynomial interpolant = 1.73565 TEST02: Interpolate data from TEST_INTERP_1D problem # 5 Use Chebyshev spacing for data points. Number of data points = 4 Data array: 1 0.00000 16.0000 2 0.250000 -10.1153 3 0.750000 -7.76263 4 1.00000 13.3791 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.38610 Normalized length of polynomial interpolant = 2.70631 TEST02: Interpolate data from TEST_INTERP_1D problem # 5 Use Chebyshev spacing for data points. Number of data points = 8 Data array: 1 0.00000 16.0000 2 0.495156E-01 -3.29024 3 0.188255 9.45586 4 0.388740 6.34917 5 0.611260 14.5226 6 0.811745 4.39835 7 0.950484 -8.65807 8 1.00000 13.3791 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 3.85448 Normalized length of polynomial interpolant = 4.76505 TEST02: Interpolate data from TEST_INTERP_1D problem # 5 Use Chebyshev spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 3.30304 Normalized length of polynomial interpolant = 3.98729 TEST02: Interpolate data from TEST_INTERP_1D problem # 5 Use Chebyshev spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 6.43086 Normalized length of polynomial interpolant = 7.97188 TEST02: Interpolate data from TEST_INTERP_1D problem # 5 Use Chebyshev spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 9.42538 Normalized length of polynomial interpolant = 10.2614 TEST02: Interpolate data from TEST_INTERP_1D problem # 5 Use Chebyshev spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 9.81407 Normalized length of polynomial interpolant = 9.84141 TEST02: Interpolate data from TEST_INTERP_1D problem # 6 Use Chebyshev spacing for data points. Number of data points = 4 Data array: 1 0.00000 0.367879 2 0.250000 1.00000 3 0.750000 0.183156E-01 4 1.00000 0.123410E-03 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.03229 Normalized length of polynomial interpolant = 2.19579 TEST02: Interpolate data from TEST_INTERP_1D problem # 6 Use Chebyshev spacing for data points. Number of data points = 8 Data array: 1 0.00000 0.367879 2 0.495156E-01 0.525658 3 0.188255 0.940824 4 0.388740 0.734931 5 0.611260 0.123917 6 0.811745 0.641628E-02 7 0.950484 0.389419E-03 8 1.00000 0.123410E-03 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.04553 Normalized length of polynomial interpolant = 2.15454 TEST02: Interpolate data from TEST_INTERP_1D problem # 6 Use Chebyshev spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.06863 Normalized length of polynomial interpolant = 2.08447 TEST02: Interpolate data from TEST_INTERP_1D problem # 6 Use Chebyshev spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.08401 Normalized length of polynomial interpolant = 2.08941 TEST02: Interpolate data from TEST_INTERP_1D problem # 6 Use Chebyshev spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.08321 Normalized length of polynomial interpolant = 2.08447 TEST02: Interpolate data from TEST_INTERP_1D problem # 6 Use Chebyshev spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.08441 Normalized length of polynomial interpolant = 2.08447 TEST02: Interpolate data from TEST_INTERP_1D problem # 7 Use Chebyshev spacing for data points. Number of data points = 4 Data array: 1 0.00000 1.00000 2 0.250000 2.71828 3 0.750000 0.00000 4 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.04780 Normalized length of polynomial interpolant = 2.21752 TEST02: Interpolate data from TEST_INTERP_1D problem # 7 Use Chebyshev spacing for data points. Number of data points = 8 Data array: 1 0.00000 1.00000 2 0.495156E-01 1.21904 3 0.188255 2.12340 4 0.388740 4.73489 5 0.611260 0.00000 6 0.811745 0.00000 7 0.950484 0.00000 8 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.30388 Normalized length of polynomial interpolant = 2.71904 TEST02: Interpolate data from TEST_INTERP_1D problem # 7 Use Chebyshev spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.41941 Normalized length of polynomial interpolant = 3.09866 TEST02: Interpolate data from TEST_INTERP_1D problem # 7 Use Chebyshev spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.47456 Normalized length of polynomial interpolant = 3.45165 TEST02: Interpolate data from TEST_INTERP_1D problem # 7 Use Chebyshev spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.50147 Normalized length of polynomial interpolant = 3.81850 TEST02: Interpolate data from TEST_INTERP_1D problem # 7 Use Chebyshev spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.52135 Normalized length of polynomial interpolant = 4.52052 TEST02: Interpolate data from TEST_INTERP_1D problem # 8 Use Chebyshev spacing for data points. Number of data points = 4 Data array: 1 0.00000 0.384615E-01 2 0.250000 0.137931 3 0.750000 0.137931 4 1.00000 0.384615E-01 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.56155 Normalized length of polynomial interpolant = 2.93586 TEST02: Interpolate data from TEST_INTERP_1D problem # 8 Use Chebyshev spacing for data points. Number of data points = 8 Data array: 1 0.00000 0.384615E-01 2 0.495156E-01 0.469624E-01 3 0.188255 0.932967E-01 4 0.388740 0.446850 5 0.611260 0.446850 6 0.811745 0.932967E-01 7 0.950484 0.469624E-01 8 1.00000 0.384615E-01 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.46567 Normalized length of polynomial interpolant = 2.84243 TEST02: Interpolate data from TEST_INTERP_1D problem # 8 Use Chebyshev spacing for data points. Number of data points = 16 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.47348 Normalized length of polynomial interpolant = 2.72006 TEST02: Interpolate data from TEST_INTERP_1D problem # 8 Use Chebyshev spacing for data points. Number of data points = 32 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.46203 Normalized length of polynomial interpolant = 2.55161 TEST02: Interpolate data from TEST_INTERP_1D problem # 8 Use Chebyshev spacing for data points. Number of data points = 64 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.44965 Normalized length of polynomial interpolant = 2.46800 TEST02: Interpolate data from TEST_INTERP_1D problem # 8 Use Chebyshev spacing for data points. Number of data points = 256 L2 interpolation error averaged per interpolant node = 0.00000 Normalized length of piecewise linear interpolant = 2.43996 Normalized length of polynomial interpolant = 2.44057 LAGRANGE_INTERP_1D_TEST: Normal end of execution. 15 September 2021 8:27:05.295 AM