01-Jun-2023 09:53:19 lagrange_interp_1d_test(): MATLAB/Octave version 5.2.0 Test lagrange_interp_1d(). The test needs test_interp_1d(). lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #1. Use even spacing for data points. Number of data points = 4 Data array: 0.00000 -1.00000 0.33333 -1.00000 0.66667 2.00000 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.85883 Normalized length of polynomial interpolant = 2.48638 Graphics saved as "p01_dataeven_04.png". Graphics saved as "p01_lageven_04.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #1. Use even spacing for data points. Number of data points = 8 Data array: 0.00000 -1.00000 0.14286 -1.00000 0.28571 -1.00000 0.42857 2.00000 0.57143 2.00000 0.71429 2.00000 0.85714 1.00000 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.08709 Normalized length of polynomial interpolant = 5.83892 Graphics saved as "p01_dataeven_08.png". Graphics saved as "p01_lageven_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.20882 Normalized length of polynomial interpolant = 131.438 Graphics saved as "p01_dataeven_16.png". Graphics saved as "p01_lageven_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.27089 Normalized length of polynomial interpolant = 796416 Graphics saved as "p01_dataeven_32.png". Graphics saved as "p01_lageven_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.30209 Normalized length of polynomial interpolant = 1.9413e+14 Graphics saved as "p01_dataeven_64.png". Graphics saved as "p01_lageven_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.32552 Normalized length of polynomial interpolant = 6.49646e+65 Graphics saved as "p01_dataeven_256.png". Graphics saved as "p01_lageven_256.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #2. Use even spacing for data points. Number of data points = 4 Data array: 0.00000 1.00000 0.33333 0.00000 0.66667 2.00000 1.00000 4.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.61852 Normalized length of polynomial interpolant = 1.70739 Graphics saved as "p02_dataeven_04.png". Graphics saved as "p02_lageven_04.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #2. Use even spacing for data points. Number of data points = 8 Data array: 0.00000 1.00000 0.14286 0.57143 0.28571 0.14286 0.42857 0.57143 0.57143 1.42857 0.71429 2.28571 0.85714 3.14286 1.00000 4.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.59966 Normalized length of polynomial interpolant = 1.63623 Graphics saved as "p02_dataeven_08.png". Graphics saved as "p02_lageven_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.61852 Normalized length of polynomial interpolant = 9.25225 Graphics saved as "p02_dataeven_16.png". Graphics saved as "p02_lageven_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.61449 Normalized length of polynomial interpolant = 1183.02 Graphics saved as "p02_dataeven_32.png". Graphics saved as "p02_lageven_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.61852 Normalized length of polynomial interpolant = 2.38644e+12 Graphics saved as "p02_dataeven_64.png". Graphics saved as "p02_lageven_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.61852 Normalized length of polynomial interpolant = 1.92585e+63 Graphics saved as "p02_dataeven_256.png". Graphics saved as "p02_lageven_256.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #3. Use even spacing for data points. Number of data points = 4 Data array: 0.00000 -0.00000 0.33333 0.11907 0.66667 1.64170 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.38078 Normalized length of polynomial interpolant = 2.86543 Graphics saved as "p03_dataeven_04.png". Graphics saved as "p03_lageven_04.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #3. Use even spacing for data points. Number of data points = 8 Data array: 0.00000 -0.00000 0.14286 0.24538 0.28571 0.27934 0.42857 0.02768 0.57143 0.94516 0.71429 1.68054 0.85714 -0.13839 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.66447 Normalized length of polynomial interpolant = 4.21154 Graphics saved as "p03_dataeven_08.png". Graphics saved as "p03_lageven_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.74314 Normalized length of polynomial interpolant = 2.83918 Graphics saved as "p03_dataeven_16.png". Graphics saved as "p03_lageven_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.77246 Normalized length of polynomial interpolant = 2.79515 Graphics saved as "p03_dataeven_32.png". Graphics saved as "p03_lageven_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.77759 Normalized length of polynomial interpolant = 8.97284 Graphics saved as "p03_dataeven_64.png". Graphics saved as "p03_lageven_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.78044 Normalized length of polynomial interpolant = 4.51573e+56 Graphics saved as "p03_dataeven_256.png". Graphics saved as "p03_lageven_256.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #4. Use even spacing for data points. Number of data points = 4 Data array: 0.00000 -1.50423 0.33333 -1.03038 0.66667 1.48529 1.00000 1.53082 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.59514 Normalized length of polynomial interpolant = 1.96499 Graphics saved as "p04_dataeven_04.png". Graphics saved as "p04_lageven_04.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #4. Use even spacing for data points. Number of data points = 8 Data array: 0.00000 -1.50423 0.14286 -1.46352 0.28571 -1.29779 0.42857 1.13417 0.57143 1.44420 0.71429 1.49725 0.85714 1.51899 1.00000 1.53082 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.71584 Normalized length of polynomial interpolant = 3.72616 Graphics saved as "p04_dataeven_08.png". Graphics saved as "p04_lageven_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.72771 Normalized length of polynomial interpolant = 50.5551 Graphics saved as "p04_dataeven_16.png". Graphics saved as "p04_lageven_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.73362 Normalized length of polynomial interpolant = 115373 Graphics saved as "p04_dataeven_32.png". Graphics saved as "p04_lageven_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.73515 Normalized length of polynomial interpolant = 1.72013e+12 Graphics saved as "p04_dataeven_64.png". Graphics saved as "p04_lageven_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.73562 Normalized length of polynomial interpolant = 8.18751e+59 Graphics saved as "p04_dataeven_256.png". Graphics saved as "p04_lageven_256.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #5. Use even spacing for data points. Number of data points = 4 Data array: 0.00000 16.00000 0.33333 -10.96099 0.66667 -1.70409 1.00000 13.37907 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.18385 Normalized length of polynomial interpolant = 2.2424 Graphics saved as "p05_dataeven_04.png". Graphics saved as "p05_lageven_04.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #5. Use even spacing for data points. Number of data points = 8 Data array: 0.00000 16.00000 0.14286 -6.20529 0.28571 -4.03377 0.42857 -1.54321 0.57143 7.00912 0.71429 0.54504 0.85714 -12.91684 1.00000 13.37907 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.1105 Normalized length of polynomial interpolant = 3.3572 Graphics saved as "p05_dataeven_08.png". Graphics saved as "p05_lageven_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 7.14285 Normalized length of polynomial interpolant = 56.0722 Graphics saved as "p05_dataeven_16.png". Graphics saved as "p05_lageven_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 9.2907 Normalized length of polynomial interpolant = 41714.4 Graphics saved as "p05_dataeven_32.png". Graphics saved as "p05_lageven_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 9.61503 Normalized length of polynomial interpolant = 14.9712 Graphics saved as "p05_dataeven_64.png". Graphics saved as "p05_lageven_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 9.80647 Normalized length of polynomial interpolant = 1.409e+57 Graphics saved as "p05_dataeven_256.png". Graphics saved as "p05_lageven_256.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #6. Use even spacing for data points. Number of data points = 4 Data array: 0.00000 0.36788 0.33333 0.89484 0.66667 0.06218 1.00000 0.00012 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.00577 Normalized length of polynomial interpolant = 2.52253 Graphics saved as "p06_dataeven_04.png". Graphics saved as "p06_lageven_04.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #6. Use even spacing for data points. Number of data points = 8 Data array: 0.00000 0.36788 0.14286 0.83221 0.28571 0.97980 0.42857 0.60037 0.57143 0.19146 0.71429 0.03178 0.85714 0.00275 1.00000 0.00012 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.06213 Normalized length of polynomial interpolant = 2.14003 Graphics saved as "p06_dataeven_08.png". Graphics saved as "p06_lageven_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.07905 Normalized length of polynomial interpolant = 2.09102 Graphics saved as "p06_dataeven_16.png". Graphics saved as "p06_lageven_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.0832 Normalized length of polynomial interpolant = 2.086 Graphics saved as "p06_dataeven_32.png". Graphics saved as "p06_lageven_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.08417 Normalized length of polynomial interpolant = 19.5094 Graphics saved as "p06_dataeven_64.png". Graphics saved as "p06_lageven_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.08447 Normalized length of polynomial interpolant = 1.20296e+57 Graphics saved as "p06_dataeven_256.png". Graphics saved as "p06_lageven_256.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #7. Use even spacing for data points. Number of data points = 4 Data array: 0.00000 1.00000 0.33333 3.79367 0.66667 0.00000 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.19576 Normalized length of polynomial interpolant = 2.78067 Graphics saved as "p07_dataeven_04.png". Graphics saved as "p07_lageven_04.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #7. Use even spacing for data points. Number of data points = 8 Data array: 0.00000 1.00000 0.14286 1.77079 0.28571 3.13571 0.42857 5.55271 0.57143 0.00000 0.71429 0.00000 0.85714 0.00000 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.38035 Normalized length of polynomial interpolant = 7.29847 Graphics saved as "p07_dataeven_08.png". Graphics saved as "p07_lageven_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.45783 Normalized length of polynomial interpolant = 252.074 Graphics saved as "p07_dataeven_16.png". Graphics saved as "p07_lageven_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.49372 Normalized length of polynomial interpolant = 3.90874e+06 Graphics saved as "p07_dataeven_32.png". Graphics saved as "p07_lageven_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.51103 Normalized length of polynomial interpolant = 4.52691e+15 Graphics saved as "p07_dataeven_64.png". Graphics saved as "p07_lageven_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.52373 Normalized length of polynomial interpolant = 7.71921e+71 Graphics saved as "p07_dataeven_256.png". Graphics saved as "p07_lageven_256.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #8. Use even spacing for data points. Number of data points = 4 Data array: 0.00000 0.03846 0.33333 0.26471 0.66667 0.26471 1.00000 0.03846 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.44152 Normalized length of polynomial interpolant = 2.55037 Graphics saved as "p08_dataeven_04.png". Graphics saved as "p08_lageven_04.png". lagrange_interp_1d_test01(): Interpolate data from test_interp_1d() problem #8. Use even spacing for data points. Number of data points = 8 Data array: 0.00000 0.03846 0.14286 0.07270 0.28571 0.17883 0.42857 0.66216 0.57143 0.66216 0.71429 0.17883 0.85714 0.07270 1.00000 0.03846 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.4693 Normalized length of polynomial interpolant = 3.75446 Graphics saved as "p08_dataeven_08.png". Graphics saved as "p08_lageven_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.46673 Normalized length of polynomial interpolant = 13.4716 Graphics saved as "p08_dataeven_16.png". Graphics saved as "p08_lageven_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.45344 Normalized length of polynomial interpolant = 3158.62 Graphics saved as "p08_dataeven_32.png". Graphics saved as "p08_lageven_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.44457 Normalized length of polynomial interpolant = 6.08771e+08 Graphics saved as "p08_dataeven_64.png". Graphics saved as "p08_lageven_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.43931 Normalized length of polynomial interpolant = 3.36832e+57 Graphics saved as "p08_dataeven_256.png". Graphics saved as "p08_lageven_256.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #1. Use Chebyshev spacing for data points. Number of data points = 4 Data array: 0.00000 -1.00000 0.25000 -1.00000 0.75000 2.00000 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.7847 Normalized length of polynomial interpolant = 1.95045 Graphics saved as "p01_datacheby_04.png". Graphics saved as "p01_lagcheby_04.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #1. Use Chebyshev spacing for data points. Number of data points = 8 Data array: 0.00000 -1.00000 0.04952 -1.00000 0.18826 -1.00000 0.38874 2.00000 0.61126 2.00000 0.81174 1.00000 0.95048 1.00000 1.00000 1.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.00791 Normalized length of polynomial interpolant = 2.40029 Graphics saved as "p01_datacheby_08.png". Graphics saved as "p01_lagcheby_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.16839 Normalized length of polynomial interpolant = 2.96052 Graphics saved as "p01_datacheby_16.png". Graphics saved as "p01_lagcheby_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.24719 Normalized length of polynomial interpolant = 3.5266 Graphics saved as "p01_datacheby_32.png". Graphics saved as "p01_lagcheby_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.2909 Normalized length of polynomial interpolant = 4.23538 Graphics saved as "p01_datacheby_64.png". Graphics saved as "p01_lagcheby_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.32265 Normalized length of polynomial interpolant = 5.27686 Graphics saved as "p01_datacheby_256.png". Graphics saved as "p01_lagcheby_256.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #2. Use Chebyshev spacing for data points. Number of data points = 4 Data array: 0.00000 1.00000 0.25000 0.25000 0.75000 2.50000 1.00000 4.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.57288 Normalized length of polynomial interpolant = 1.61239 Graphics saved as "p02_datacheby_04.png". Graphics saved as "p02_lagcheby_04.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #2. Use Chebyshev spacing for data points. Number of data points = 8 Data array: 0.00000 1.00000 0.04952 0.85145 0.18826 0.43523 0.38874 0.33244 0.61126 1.66756 0.81174 2.87047 0.95048 3.70291 1.00000 4.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.61767 Normalized length of polynomial interpolant = 1.64485 Graphics saved as "p02_datacheby_08.png". Graphics saved as "p02_lagcheby_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.61535 Normalized length of polynomial interpolant = 1.62787 Graphics saved as "p02_datacheby_16.png". Graphics saved as "p02_lagcheby_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.61493 Normalized length of polynomial interpolant = 1.61988 Graphics saved as "p02_datacheby_32.png". Graphics saved as "p02_lagcheby_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.61947 Normalized length of polynomial interpolant = 1.62215 Graphics saved as "p02_datacheby_64.png". Graphics saved as "p02_lagcheby_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.61837 Normalized length of polynomial interpolant = 1.61902 Graphics saved as "p02_datacheby_256.png". Graphics saved as "p02_lagcheby_256.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #3. Use Chebyshev spacing for data points. Number of data points = 4 Data array: 0.00000 -0.00000 0.25000 0.37969 0.75000 1.49297 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.28519 Normalized length of polynomial interpolant = 2.43035 Graphics saved as "p03_datacheby_04.png". Graphics saved as "p03_lagcheby_04.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #3. Use Chebyshev spacing for data points. Number of data points = 8 Data array: 0.00000 -0.00000 0.04952 -0.23363 0.18826 0.40015 0.38874 0.00401 0.61126 1.29446 0.81174 0.70540 0.95048 -1.21883 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.78176 Normalized length of polynomial interpolant = 3.17146 Graphics saved as "p03_datacheby_08.png". Graphics saved as "p03_lagcheby_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.78384 Normalized length of polynomial interpolant = 2.93189 Graphics saved as "p03_datacheby_16.png". Graphics saved as "p03_lagcheby_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.78797 Normalized length of polynomial interpolant = 2.81159 Graphics saved as "p03_datacheby_32.png". Graphics saved as "p03_lagcheby_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.77963 Normalized length of polynomial interpolant = 2.78531 Graphics saved as "p03_datacheby_64.png". Graphics saved as "p03_lagcheby_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.78074 Normalized length of polynomial interpolant = 2.78099 Graphics saved as "p03_datacheby_256.png". Graphics saved as "p03_lagcheby_256.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #4. Use Chebyshev spacing for data points. Number of data points = 4 Data array: 0.00000 -1.50423 0.25000 -1.37340 0.75000 1.50423 1.00000 1.53082 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.57574 Normalized length of polynomial interpolant = 1.70206 Graphics saved as "p04_datacheby_04.png". Graphics saved as "p04_lagcheby_04.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #4. Use Chebyshev spacing for data points. Number of data points = 8 Data array: 0.00000 -1.50423 0.04952 -1.49414 0.18826 -1.43772 0.38874 0.50252 0.61126 1.46537 0.81174 1.51362 0.95048 1.52738 1.00000 1.53082 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.63654 Normalized length of polynomial interpolant = 1.7088 Graphics saved as "p04_datacheby_08.png". Graphics saved as "p04_lagcheby_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.72032 Normalized length of polynomial interpolant = 1.93553 Graphics saved as "p04_datacheby_16.png". Graphics saved as "p04_lagcheby_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.7311 Normalized length of polynomial interpolant = 1.74357 Graphics saved as "p04_datacheby_32.png". Graphics saved as "p04_lagcheby_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.73453 Normalized length of polynomial interpolant = 1.73798 Graphics saved as "p04_datacheby_64.png". Graphics saved as "p04_lagcheby_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 1.73558 Normalized length of polynomial interpolant = 1.73565 Graphics saved as "p04_datacheby_256.png". Graphics saved as "p04_lagcheby_256.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #5. Use Chebyshev spacing for data points. Number of data points = 4 Data array: 0.00000 16.00000 0.25000 -10.11534 0.75000 -7.76263 1.00000 13.37907 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.3861 Normalized length of polynomial interpolant = 2.70631 Graphics saved as "p05_datacheby_04.png". Graphics saved as "p05_lagcheby_04.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #5. Use Chebyshev spacing for data points. Number of data points = 8 Data array: 0.00000 16.00000 0.04952 -3.29024 0.18826 9.45586 0.38874 6.34917 0.61126 14.52259 0.81174 4.39835 0.95048 -8.65807 1.00000 13.37907 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.85448 Normalized length of polynomial interpolant = 4.76505 Graphics saved as "p05_datacheby_08.png". Graphics saved as "p05_lagcheby_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 3.30304 Normalized length of polynomial interpolant = 3.98729 Graphics saved as "p05_datacheby_16.png". Graphics saved as "p05_lagcheby_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 6.43086 Normalized length of polynomial interpolant = 7.97188 Graphics saved as "p05_datacheby_32.png". Graphics saved as "p05_lagcheby_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 9.42538 Normalized length of polynomial interpolant = 10.2614 Graphics saved as "p05_datacheby_64.png". Graphics saved as "p05_lagcheby_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 9.81407 Normalized length of polynomial interpolant = 9.84141 Graphics saved as "p05_datacheby_256.png". Graphics saved as "p05_lagcheby_256.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #6. Use Chebyshev spacing for data points. Number of data points = 4 Data array: 0.00000 0.36788 0.25000 1.00000 0.75000 0.01832 1.00000 0.00012 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.03229 Normalized length of polynomial interpolant = 2.19579 Graphics saved as "p06_datacheby_04.png". Graphics saved as "p06_lagcheby_04.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #6. Use Chebyshev spacing for data points. Number of data points = 8 Data array: 0.00000 0.36788 0.04952 0.52566 0.18826 0.94082 0.38874 0.73493 0.61126 0.12392 0.81174 0.00642 0.95048 0.00039 1.00000 0.00012 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.04553 Normalized length of polynomial interpolant = 2.15454 Graphics saved as "p06_datacheby_08.png". Graphics saved as "p06_lagcheby_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.06863 Normalized length of polynomial interpolant = 2.08447 Graphics saved as "p06_datacheby_16.png". Graphics saved as "p06_lagcheby_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.08401 Normalized length of polynomial interpolant = 2.08941 Graphics saved as "p06_datacheby_32.png". Graphics saved as "p06_lagcheby_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.08321 Normalized length of polynomial interpolant = 2.08447 Graphics saved as "p06_datacheby_64.png". Graphics saved as "p06_lagcheby_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.08441 Normalized length of polynomial interpolant = 2.08447 Graphics saved as "p06_datacheby_256.png". Graphics saved as "p06_lagcheby_256.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #7. Use Chebyshev spacing for data points. Number of data points = 4 Data array: 0.00000 1.00000 0.25000 2.71828 0.75000 0.00000 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.0478 Normalized length of polynomial interpolant = 2.21752 Graphics saved as "p07_datacheby_04.png". Graphics saved as "p07_lagcheby_04.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #7. Use Chebyshev spacing for data points. Number of data points = 8 Data array: 0.00000 1.00000 0.04952 1.21904 0.18826 2.12340 0.38874 4.73489 0.61126 0.00000 0.81174 0.00000 0.95048 0.00000 1.00000 0.00000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.30388 Normalized length of polynomial interpolant = 2.71904 Graphics saved as "p07_datacheby_08.png". Graphics saved as "p07_lagcheby_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.41941 Normalized length of polynomial interpolant = 3.09866 Graphics saved as "p07_datacheby_16.png". Graphics saved as "p07_lagcheby_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.47456 Normalized length of polynomial interpolant = 3.45165 Graphics saved as "p07_datacheby_32.png". Graphics saved as "p07_lagcheby_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.50147 Normalized length of polynomial interpolant = 3.8185 Graphics saved as "p07_datacheby_64.png". Graphics saved as "p07_lagcheby_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.52135 Normalized length of polynomial interpolant = 4.52052 Graphics saved as "p07_datacheby_256.png". Graphics saved as "p07_lagcheby_256.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #8. Use Chebyshev spacing for data points. Number of data points = 4 Data array: 0.00000 0.03846 0.25000 0.13793 0.75000 0.13793 1.00000 0.03846 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.56155 Normalized length of polynomial interpolant = 2.93586 Graphics saved as "p08_datacheby_04.png". Graphics saved as "p08_lagcheby_04.png". lagrange_interp_1d_test02(): Interpolate data from test_interp_1d() problem #8. Use Chebyshev spacing for data points. Number of data points = 8 Data array: 0.00000 0.03846 0.04952 0.04696 0.18826 0.09330 0.38874 0.44685 0.61126 0.44685 0.81174 0.09330 0.95048 0.04696 1.00000 0.03846 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.46567 Normalized length of polynomial interpolant = 2.84243 Graphics saved as "p08_datacheby_08.png". Graphics saved as "p08_lagcheby_08.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.47348 Normalized length of polynomial interpolant = 2.72006 Graphics saved as "p08_datacheby_16.png". Graphics saved as "p08_lagcheby_16.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.46203 Normalized length of polynomial interpolant = 2.55161 Graphics saved as "p08_datacheby_32.png". Graphics saved as "p08_lagcheby_32.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.44965 Normalized length of polynomial interpolant = 2.468 Graphics saved as "p08_datacheby_64.png". Graphics saved as "p08_lagcheby_64.png". lagrange_interp_1d_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 Normalized length of piecewise linear interpolant = 2.43996 Normalized length of polynomial interpolant = 2.44057 Graphics saved as "p08_datacheby_256.png". Graphics saved as "p08_lagcheby_256.png". lagrange_interp_1d_test(): Normal end of execution. 01-Jun-2023 09:59:38