Home License -- for personal use only. Not for government, academic, research, commercial, or other organizational use. 07-Oct-2025 22:15:09 lagrange_interp_1d_test(): MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7 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 -1.0000 0.3333 -1.0000 0.6667 2.0000 1.0000 1.0000 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 -1.0000 0.1429 -1.0000 0.2857 -1.0000 0.4286 2.0000 0.5714 2.0000 0.7143 2.0000 0.8571 1.0000 1.0000 1.0000 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 1.0000 0.3333 0 0.6667 2.0000 1.0000 4.0000 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 1.0000 0.1429 0.5714 0.2857 0.1429 0.4286 0.5714 0.5714 1.4286 0.7143 2.2857 0.8571 3.1429 1.0000 4.0000 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 0 0.3333 0.1191 0.6667 1.6417 1.0000 0 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 0 0.1429 0.2454 0.2857 0.2793 0.4286 0.0277 0.5714 0.9452 0.7143 1.6805 0.8571 -0.1384 1.0000 0 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 = 7.72863 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 = 2.93933e+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 -1.5042 0.3333 -1.0304 0.6667 1.4853 1.0000 1.5308 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 -1.5042 0.1429 -1.4635 0.2857 -1.2978 0.4286 1.1342 0.5714 1.4442 0.7143 1.4972 0.8571 1.5190 1.0000 1.5308 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 = 8.15808e+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 16.0000 0.3333 -10.9610 0.6667 -1.7041 1.0000 13.3791 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 16.0000 0.1429 -6.2053 0.2857 -4.0338 0.4286 -1.5432 0.5714 7.0091 0.7143 0.5450 0.8571 -12.9168 1.0000 13.3791 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 = 14.4834 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 = 1.01827e+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 0.3679 0.3333 0.8948 0.6667 0.0622 1.0000 0.0001 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 0.3679 0.1429 0.8322 0.2857 0.9798 0.4286 0.6004 0.5714 0.1915 0.7143 0.0318 0.8571 0.0027 1.0000 0.0001 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 = 15.3681 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 = 1.7479e+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 1.0000 0.3333 3.7937 0.6667 0 1.0000 0 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 1.0000 0.1429 1.7708 0.2857 3.1357 0.4286 5.5527 0.5714 0 0.7143 0 0.8571 0 1.0000 0 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 0.0385 0.3333 0.2647 0.6667 0.2647 1.0000 0.0385 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 0.0385 0.1429 0.0727 0.2857 0.1788 0.4286 0.6622 0.5714 0.6622 0.7143 0.1788 0.8571 0.0727 1.0000 0.0385 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 = 4.69297e+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 -1.0000 0.2500 -1.0000 0.7500 2.0000 1.0000 1.0000 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 -1.0000 0.0495 -1.0000 0.1883 -1.0000 0.3887 2.0000 0.6113 2.0000 0.8117 1.0000 0.9505 1.0000 1.0000 1.0000 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 1.0000 0.2500 0.2500 0.7500 2.5000 1.0000 4.0000 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 1.0000 0.0495 0.8515 0.1883 0.4352 0.3887 0.3324 0.6113 1.6676 0.8117 2.8705 0.9505 3.7029 1.0000 4.0000 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 0 0.2500 0.3797 0.7500 1.4930 1.0000 0 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 0 0.0495 -0.2336 0.1883 0.4001 0.3887 0.0040 0.6113 1.2945 0.8117 0.7054 0.9505 -1.2188 1.0000 0 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 -1.5042 0.2500 -1.3734 0.7500 1.5042 1.0000 1.5308 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 -1.5042 0.0495 -1.4941 0.1883 -1.4377 0.3887 0.5025 0.6113 1.4654 0.8117 1.5136 0.9505 1.5274 1.0000 1.5308 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 16.0000 0.2500 -10.1153 0.7500 -7.7626 1.0000 13.3791 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 16.0000 0.0495 -3.2902 0.1883 9.4559 0.3887 6.3492 0.6113 14.5226 0.8117 4.3984 0.9505 -8.6581 1.0000 13.3791 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 0.3679 0.2500 1.0000 0.7500 0.0183 1.0000 0.0001 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 0.3679 0.0495 0.5257 0.1883 0.9408 0.3887 0.7349 0.6113 0.1239 0.8117 0.0064 0.9505 0.0004 1.0000 0.0001 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 1.0000 0.2500 2.7183 0.7500 0 1.0000 0 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 1.0000 0.0495 1.2190 0.1883 2.1234 0.3887 4.7349 0.6113 0 0.8117 0 0.9505 0 1.0000 0 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 0.0385 0.2500 0.1379 0.7500 0.1379 1.0000 0.0385 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 0.0385 0.0495 0.0470 0.1883 0.0933 0.3887 0.4468 0.6113 0.4468 0.8117 0.0933 0.9505 0.0470 1.0000 0.0385 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. 07-Oct-2025 22:16:04