08-Jan-2022 10:57:39

vandermonde_approx_2d_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2.
  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

  Created plot file "p01_data.png".
  Created plot file "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

  Created plot file "p01_data.png".
  Created plot file "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

  Created plot file "p01_data.png".
  Created plot file "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

  Created plot file "p01_data.png".
  Created plot file "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

  Created plot file "p01_data.png".
  Created plot file "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

  Created plot file "p02_data.png".
  Created plot file "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

  Created plot file "p02_data.png".
  Created plot file "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

  Created plot file "p02_data.png".
  Created plot file "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

  Created plot file "p02_data.png".
  Created plot file "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

  Created plot file "p02_data.png".
  Created plot file "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

  Created plot file "p03_data.png".
  Created plot file "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

  Created plot file "p03_data.png".
  Created plot file "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

  Created plot file "p03_data.png".
  Created plot file "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

  Created plot file "p03_data.png".
  Created plot file "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

  Created plot file "p03_data.png".
  Created plot file "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

  Created plot file "p04_data.png".
  Created plot file "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

  Created plot file "p04_data.png".
  Created plot file "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

  Created plot file "p04_data.png".
  Created plot file "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

  Created plot file "p04_data.png".
  Created plot file "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

  Created plot file "p04_data.png".
  Created plot file "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

  Created plot file "p05_data.png".
  Created plot file "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

  Created plot file "p05_data.png".
  Created plot file "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

  Created plot file "p05_data.png".
  Created plot file "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

  Created plot file "p05_data.png".
  Created plot file "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

  Created plot file "p05_data.png".
  Created plot file "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

  Created plot file "p06_data.png".
  Created plot file "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

  Created plot file "p06_data.png".
  Created plot file "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

  Created plot file "p06_data.png".
  Created plot file "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

  Created plot file "p06_data.png".
  Created plot file "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

  Created plot file "p06_data.png".
  Created plot file "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

  Created plot file "p07_data.png".
  Created plot file "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

  Created plot file "p07_data.png".
  Created plot file "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

  Created plot file "p07_data.png".
  Created plot file "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

  Created plot file "p07_data.png".
  Created plot file "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

  Created plot file "p07_data.png".
  Created plot file "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

  Created plot file "p08_data.png".
  Created plot file "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

  Created plot file "p08_data.png".
  Created plot file "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

  Created plot file "p08_data.png".
  Created plot file "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

  Created plot file "p08_data.png".
  Created plot file "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

  Created plot file "p08_data.png".
  Created plot file "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

  Created plot file "p09_data.png".
  Created plot file "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

  Created plot file "p09_data.png".
  Created plot file "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

  Created plot file "p09_data.png".
  Created plot file "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

  Created plot file "p09_data.png".
  Created plot file "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

  Created plot file "p09_data.png".
  Created plot file "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

  Created plot file "p10_data.png".
  Created plot file "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

  Created plot file "p10_data.png".
  Created plot file "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

  Created plot file "p10_data.png".
  Created plot file "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

  Created plot file "p10_data.png".
  Created plot file "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

  Created plot file "p10_data.png".
  Created plot file "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

  Created plot file "p11_data.png".
  Created plot file "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

  Created plot file "p11_data.png".
  Created plot file "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 = 1.1597e-17

  Created plot file "p11_data.png".
  Created plot file "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 = 1.95961e-17

  Created plot file "p11_data.png".
  Created plot file "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 = 4.36724e-17

  Created plot file "p11_data.png".
  Created plot file "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

  Created plot file "p12_data.png".
  Created plot file "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

  Created plot file "p12_data.png".
  Created plot file "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

  Created plot file "p12_data.png".
  Created plot file "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

  Created plot file "p12_data.png".
  Created plot file "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

  Created plot file "p12_data.png".
  Created plot file "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

  Created plot file "p13_data.png".
  Created plot file "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

  Created plot file "p13_data.png".
  Created plot file "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

  Created plot file "p13_data.png".
  Created plot file "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

  Created plot file "p13_data.png".
  Created plot file "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

  Created plot file "p13_data.png".
  Created plot file "p13_poly08.png".

vandermonde_approx_2d_test():
  Normal end of execution.

08-Jan-2022 10:58:19