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19-Dec-2025 19:59:30

ccl_test():
  MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7.
  Test ccl()
  Read sets of points in [-1,+1],
  computed by chebyshev_1d_lumping().
  For a set of dimension N, estimate the Lebesgue constant L,
  and the ratio of L to log(N+1).

chebyzero_test():
  Read sets of Chebyshev Zero nodes in [-1,+1],
  computed by chebyshev_1d_lumping().
  For a set of dimension N, estimate the Lebesgue constant L,
  and the ratio of L to log(N+1).

  L(N) = Lebesgue constants

       1:              5       1.98885
       2:              9       2.36186
       3:             17       2.76635
       4:             33       3.18851
       5:             65       3.62003
       6:            129       4.05638
       7:            257       4.49518

  L2 = L(N)/log(N+1):

       1:              5          1.11
       2:              9       1.02574
       3:             17      0.957093
       4:             33      0.904192
       5:             65       0.86404
       6:            129      0.833354
       7:            257       0.80951

CVT_CHEBYSHEV_TEST:
  Read sets of CVT nodes initialized "C" in [-1,+1],
  computed by CHEBYSHEV_1D_LUMPING.
  For a set of dimension N, estimate the Lebesgue constant L,
  and the ratio of L to log(N+1).

  L(N) = Lebesgue constants

       1:              5       1.57088
       2:              9       1.94639
       3:             17       2.36552
       4:             33       2.84216
       5:             65       3.44077
       6:            129       4.27972
       7:            257       5.40298

  L2 = L(N)/log(N+1):

       1:              5      0.876724
       2:              9      0.845305
       3:             17      0.818414
       4:             33      0.805976
       5:             65      0.821253
       6:            129      0.879238
       7:            257      0.972992

CVT_RANDOM_TEST:
  Read sets of CVT nodes initialized "R" in [-1,+1],
  computed by CHEBYSHEV_1D_LUMPING.
  For a set of dimension N, estimate the Lebesgue constant L,
  and the ratio of L to log(N+1).

  L(N) = Lebesgue constants

       1:              5       1.57087
       2:              9       1.94634
       3:             17       19847.6
       4:             33       2.84288
       5:             65       17.1709
       6:            129   2.80138e+33
       7:            257   8.38553e+70

  L2 = L(N)/log(N+1):

       1:              5      0.876722
       2:              9      0.845285
       3:             17       6866.79
       4:             33      0.806179
       5:             65       4.09841
       6:            129   5.75524e+32
       7:            257    1.5101e+70

CVT_UNIFORM_TEST:
  Read sets of CVT nodes initialized "U" in [-1,+1],
  computed by CHEBYSHEV_1D_LUMPING.
  For a set of dimension N, estimate the Lebesgue constant L,
  and the ratio of L to log(N+1).

  L(N) = Lebesgue constants

       1:              5       1.57088
       2:              9       1.94639
       3:             17       2.36552
       4:             33        2.8422
       5:             65       22.4881
       6:            129   2.48569e+18
       7:            257   3.10444e+58

  L2 = L(N)/log(N+1):

       1:              5      0.876724
       2:              9      0.845305
       3:             17      0.818414
       4:             33      0.805987
       5:             65       5.36754
       6:            129   5.10667e+17
       7:            257    5.5906e+57

lebesgue_constant_test()
  Test lebesgue_constant() for a simple case of
  equally spaced points in [ -1, 1]

  NI  = number of interpolating points.
  NF = number of sample points

  Case 1: fix NI, try sequence of NF values

   11     2               0
   11     3               0
   11     5         2.75909
   11     9         5.62613
   11    17         18.3303
   11    33          29.894
   11    65          29.894
   11   129          29.894
   11   257          29.894
   11   513          29.894

  Case 2: fix NF, try sequence of NI values

    1  1001               1
    2  1001               1
    3  1001            1.25
    4  1001         1.63113
    5  1001         2.20782
    6  1001         3.10628
    7  1001         4.54934
    8  1001         6.92945
    9  1001          10.945
   10  1001         17.8476
   11  1001         29.8981

ccl_test():
  Normal end of execution.

19-Dec-2025 19:59:30