03-Jul-2023 12:05:48

vandermonde_approx_2d_test():
  MATLAB/Octave version 5.2.0.
  Test vandermonde_approx_2d().
  The R8LIB library is needed.
  This test also needs the TEST_INTERP_2D library.

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #1.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.0273665
  Graphics saved as "p01_data.png".
  Graphics saved as "p01_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #1.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.0146671
  Graphics saved as "p01_data.png".
  Graphics saved as "p01_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #1.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.0122564
  Graphics saved as "p01_data.png".
  Graphics saved as "p01_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #1.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.00656543
  Graphics saved as "p01_data.png".
  Graphics saved as "p01_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #1.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.00144788
  Graphics saved as "p01_data.png".
  Graphics saved as "p01_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #2.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.0100644
  Graphics saved as "p02_data.png".
  Graphics saved as "p02_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #2.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.00468829
  Graphics saved as "p02_data.png".
  Graphics saved as "p02_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #2.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.00468413
  Graphics saved as "p02_data.png".
  Graphics saved as "p02_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #2.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.00300146
  Graphics saved as "p02_data.png".
  Graphics saved as "p02_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #2.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.00110664
  Graphics saved as "p02_data.png".
  Graphics saved as "p02_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #3.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.0094149
  Graphics saved as "p03_data.png".
  Graphics saved as "p03_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #3.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.00832351
  Graphics saved as "p03_data.png".
  Graphics saved as "p03_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #3.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.00436866
  Graphics saved as "p03_data.png".
  Graphics saved as "p03_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #3.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.00164568
  Graphics saved as "p03_data.png".
  Graphics saved as "p03_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #3.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.000116524
  Graphics saved as "p03_data.png".
  Graphics saved as "p03_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #4.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.00828357
  Graphics saved as "p04_data.png".
  Graphics saved as "p04_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #4.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.00827511
  Graphics saved as "p04_data.png".
  Graphics saved as "p04_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #4.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.00267982
  Graphics saved as "p04_data.png".
  Graphics saved as "p04_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #4.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.000575185
  Graphics saved as "p04_data.png".
  Graphics saved as "p04_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #4.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 5.34508e-06
  Graphics saved as "p04_data.png".
  Graphics saved as "p04_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #5.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.00726498
  Graphics saved as "p05_data.png".
  Graphics saved as "p05_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #5.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.00726375
  Graphics saved as "p05_data.png".
  Graphics saved as "p05_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #5.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.00499903
  Graphics saved as "p05_data.png".
  Graphics saved as "p05_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #5.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.00291062
  Graphics saved as "p05_data.png".
  Graphics saved as "p05_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #5.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.000362044
  Graphics saved as "p05_data.png".
  Graphics saved as "p05_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #6.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.0086155
  Graphics saved as "p06_data.png".
  Graphics saved as "p06_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #6.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.00860026
  Graphics saved as "p06_data.png".
  Graphics saved as "p06_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #6.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.000721886
  Graphics saved as "p06_data.png".
  Graphics saved as "p06_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #6.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 9.40424e-05
  Graphics saved as "p06_data.png".
  Graphics saved as "p06_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #6.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 9.50941e-07
  Graphics saved as "p06_data.png".
  Graphics saved as "p06_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #7.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.100742
  Graphics saved as "p07_data.png".
  Graphics saved as "p07_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #7.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.099925
  Graphics saved as "p07_data.png".
  Graphics saved as "p07_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #7.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.0992833
  Graphics saved as "p07_data.png".
  Graphics saved as "p07_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #7.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.0884775
  Graphics saved as "p07_data.png".
  Graphics saved as "p07_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #7.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.0414643
  Graphics saved as "p07_data.png".
  Graphics saved as "p07_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #8.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.0475956
  Graphics saved as "p08_data.png".
  Graphics saved as "p08_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #8.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.0475569
  Graphics saved as "p08_data.png".
  Graphics saved as "p08_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #8.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.0332931
  Graphics saved as "p08_data.png".
  Graphics saved as "p08_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #8.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.0202042
  Graphics saved as "p08_data.png".
  Graphics saved as "p08_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #8.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.00521182
  Graphics saved as "p08_data.png".
  Graphics saved as "p08_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #9.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 2.11162
  Graphics saved as "p09_data.png".
  Graphics saved as "p09_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #9.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 2.0965
  Graphics saved as "p09_data.png".
  Graphics saved as "p09_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #9.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 2.02805
  Graphics saved as "p09_data.png".
  Graphics saved as "p09_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #9.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 1.74806
  Graphics saved as "p09_data.png".
  Graphics saved as "p09_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #9.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.674845
  Graphics saved as "p09_data.png".
  Graphics saved as "p09_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #10.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.020071
  Graphics saved as "p10_data.png".
  Graphics saved as "p10_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #10.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.0200554
  Graphics saved as "p10_data.png".
  Graphics saved as "p10_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #10.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.0177757
  Graphics saved as "p10_data.png".
  Graphics saved as "p10_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #10.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.0144741
  Graphics saved as "p10_data.png".
  Graphics saved as "p10_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #10.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.00675567
  Graphics saved as "p10_data.png".
  Graphics saved as "p10_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #11.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.0517436
  Graphics saved as "p11_data.png".
  Graphics saved as "p11_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #11.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.00993196
  Graphics saved as "p11_data.png".
  Graphics saved as "p11_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #11.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 2.18807e-16
  Graphics saved as "p11_data.png".
  Graphics saved as "p11_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #11.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 1.25654e-16
  Graphics saved as "p11_data.png".
  Graphics saved as "p11_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #11.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 1.68947e-16
  Graphics saved as "p11_data.png".
  Graphics saved as "p11_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #12.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.0410577
  Graphics saved as "p12_data.png".
  Graphics saved as "p12_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #12.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.0274178
  Graphics saved as "p12_data.png".
  Graphics saved as "p12_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #12.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.0179013
  Graphics saved as "p12_data.png".
  Graphics saved as "p12_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #12.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.00472123
  Graphics saved as "p12_data.png".
  Graphics saved as "p12_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #12.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.000145301
  Graphics saved as "p12_data.png".
  Graphics saved as "p12_poly08.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #13.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 0
  Number of data points = 100

  L2 data approximation error = 0.0105611
  Graphics saved as "p13_data.png".
  Graphics saved as "p13_poly00.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #13.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 1
  Number of data points = 100

  L2 data approximation error = 0.0105584
  Graphics saved as "p13_data.png".
  Graphics saved as "p13_poly01.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #13.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 2
  Number of data points = 100

  L2 data approximation error = 0.00747809
  Graphics saved as "p13_data.png".
  Graphics saved as "p13_poly02.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #13.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 4
  Number of data points = 100

  L2 data approximation error = 0.00516357
  Graphics saved as "p13_data.png".
  Graphics saved as "p13_poly04.png".

vandermonde_approx_2d_test01():
  Approximate data from TEST_INTERP_2D problem #13.
  Use grid from TEST_INTERP_2D with index #1.
  Using polynomial approximant of total degree 8
  Number of data points = 100

  L2 data approximation error = 0.00192338
  Graphics saved as "p13_data.png".
  Graphics saved as "p13_poly08.png".

vandermonde_approx_2d_test():
  Normal end of execution.

03-Jul-2023 12:06:35