07-Jan-2023 20:35:38

lagrange_approx_1d_test():
  MATLAB/Octave version 4.2.2
  Test lagrange_approx_1d().
  These tests need test_interp_1d().

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 4.
  Number of data points = 16

  L2 approximation error averaged per data node = 1.31696
  Graphics saved as "p01_lageven_04_16.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 4.
  Number of data points = 64

  L2 approximation error averaged per data node = 1.33161
  Graphics saved as "p01_lageven_04_64.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 8.
  Number of data points = 16

  L2 approximation error averaged per data node = 1.31696
  Graphics saved as "p01_lageven_08_16.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 8.
  Number of data points = 64

  L2 approximation error averaged per data node = 1.33161
  Graphics saved as "p01_lageven_08_64.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 16.
  Number of data points = 16

  L2 approximation error averaged per data node = 1.31696
  Graphics saved as "p01_lageven_16_16.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 16.
  Number of data points = 64

  L2 approximation error averaged per data node = 1.33161
  Graphics saved as "p01_lageven_16_64.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 4.
  Number of data points = 16

  L2 approximation error averaged per data node = 1.24342
  Graphics saved as "p02_lageven_04_16.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 4.
  Number of data points = 64

  L2 approximation error averaged per data node = 1.20257
  Graphics saved as "p02_lageven_04_64.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 8.
  Number of data points = 16

  L2 approximation error averaged per data node = 1.24342
  Graphics saved as "p02_lageven_08_16.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 8.
  Number of data points = 64

  L2 approximation error averaged per data node = 1.20257
  Graphics saved as "p02_lageven_08_64.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 16.
  Number of data points = 16

  L2 approximation error averaged per data node = 1.24342
  Graphics saved as "p02_lageven_16_16.png".

lagrange_approx_1d_test02():
  Approximate evenly spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 16.
  Number of data points = 64

  L2 approximation error averaged per data node = 1.20257
  Graphics saved as "p02_lageven_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 4.
  Number of data points = 16

  L2 approximation error averaged per data node = 0.0955066
  Graphics saved as "p01_lagcheby_04_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 4.
  Number of data points = 64

  L2 approximation error averaged per data node = 0.0522266
  Graphics saved as "p01_lagcheby_04_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 8.
  Number of data points = 16

  L2 approximation error averaged per data node = 0.076757
  Graphics saved as "p01_lagcheby_08_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 8.
  Number of data points = 64

  L2 approximation error averaged per data node = 0.0456383
  Graphics saved as "p01_lagcheby_08_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 16.
  Number of data points = 16

  L2 approximation error averaged per data node = 1.02927e-08
  Graphics saved as "p01_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #1.
  Use polynomial approximant of degree 16.
  Number of data points = 64

  L2 approximation error averaged per data node = 0.029605
  Graphics saved as "p01_lagcheby_16_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 4.
  Number of data points = 16

  L2 approximation error averaged per data node = 0.025076
  Graphics saved as "p02_lagcheby_04_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 4.
  Number of data points = 64

  L2 approximation error averaged per data node = 0.0119402
  Graphics saved as "p02_lagcheby_04_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 8.
  Number of data points = 16

  L2 approximation error averaged per data node = 0.00841292
  Graphics saved as "p02_lagcheby_08_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 8.
  Number of data points = 64

  L2 approximation error averaged per data node = 0.0035533
  Graphics saved as "p02_lagcheby_08_64.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 16.
  Number of data points = 16

  L2 approximation error averaged per data node = 8.81172e-10
  Graphics saved as "p02_lagcheby_16_16.png".

lagrange_approx_1d_test03():
  Approximate Chebyshev-spaced data from test_interp_1d() problem #2.
  Use polynomial approximant of degree 16.
  Number of data points = 64

  L2 approximation error averaged per data node = 0.00136302
  Graphics saved as "p02_lagcheby_16_64.png".

lagrange_approx_1d_test():
  Normal end of execution.

07-Jan-2023 20:35:52