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lebesgue_prb_output.txt
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04 March 2014 08:30:43 AM
LEBESGUE_PRB
C++ version
Test the LEBESGUE library.
LEBESGUE_TEST01:
Analyze Chebyshev1 points.
Chebyshev1 Lebesgue constants for N = 1 to 11:
0: 1
1: 1.41421
2: 1.66667
3: 1.84776
4: 1.98885
5: 2.1044
6: 2.20221
7: 2.28702
8: 2.36186
9: 2.42883
10: 2.48943
Chebyshev1 points for N = 11
0: 0.989821
1: 0.909632
2: 0.75575
3: 0.540641
4: 0.281733
5: 2.83277e-16
6: -0.281733
7: -0.540641
8: -0.75575
9: -0.909632
10: -0.989821
Created graphics data file 'chebyshev1_data.txt'
Created graphics command file 'chebyshev1_commands.txt'
LEBESGUE_TEST02:
Analyze Chebyshev2 points.
Chebyshev2 Lebesgue constants for N = 1 to 11:
0: 1
1: 1
2: 1.25
3: 1.66667
4: 1.79876
5: 1.98885
6: 2.08255
7: 2.20221
8: 2.27461
9: 2.36186
10: 2.42097
Chebyshev2 points for N = 11
0: -1
1: -0.951057
2: -0.809017
3: -0.587785
4: -0.309017
5: 6.12323e-17
6: 0.309017
7: 0.587785
8: 0.809017
9: 0.951057
10: 1
Created graphics data file 'chebyshev2_data.txt'
Created graphics command file 'chebyshev2_commands.txt'
LEBESGUE_TEST03:
Analyze Chebyshev3 points.
Chebyshev3 Lebesgue constants for N = 1 to 11:
0: 1
1: 2.23607
2: 3.49396
3: 4.75877
4: 6.02667
5: 7.29623
6: 8.56677
7: 9.83795
8: 11.1096
9: 12.3815
10: 13.6536
Chebyshev3 points for N = 11
0: -0.962917
1: -0.854419
2: -0.682553
3: -0.460065
4: -0.203456
5: 0.0682424
6: 0.33488
7: 0.57668
8: 0.775711
9: 0.917211
10: 0.990686
Created graphics data file 'chebyshev3_data.txt'
Created graphics command file 'chebyshev3_commands.txt'
LEBESGUE_TEST04:
Analyze Chebyshev4 points.
Chebyshev4 Lebesgue constants for N = 1 to 11:
0: 1
1: 2.23607
2: 3.49396
3: 4.75877
4: 6.02667
5: 7.29623
6: 8.56677
7: 9.83795
8: 11.1096
9: 12.3815
10: 13.6536
Chebyshev4 points for N = 11
0: -0.990686
1: -0.917211
2: -0.775711
3: -0.57668
4: -0.33488
5: -0.0682424
6: 0.203456
7: 0.460065
8: 0.682553
9: 0.854419
10: 0.962917
Created graphics data file 'chebyshev4_data.txt'
Created graphics command file 'chebyshev4_commands.txt'
LEBESGUE_TEST05:
Analyze Equidistant1 points.
Equidistant1 Lebesgue constants for N = 1 to 11:
0: 1
1: 3
2: 7
3: 15
4: 31
5: 63
6: 127
7: 255
8: 511
9: 1023
10: 2047
Equidistant1 points for N = 11
0: -0.833333
1: -0.666667
2: -0.5
3: -0.333333
4: -0.166667
5: 0
6: 0.166667
7: 0.333333
8: 0.5
9: 0.666667
10: 0.833333
Created graphics data file 'equidistant1_data.txt'
Created graphics command file 'equidistant1_commands.txt'
LEBESGUE_TEST06:
Analyze Equidistant2 points.
Equidistant2 Lebesgue constants for N = 1 to 11:
0: 1
1: 1
2: 1.25
3: 1.63112
4: 2.20782
5: 3.10628
6: 4.54872
7: 6.92945
8: 10.9444
9: 17.8449
10: 29.8907
Equidistant2 points for N = 11
0: -1
1: -0.8
2: -0.6
3: -0.4
4: -0.2
5: 0
6: 0.2
7: 0.4
8: 0.6
9: 0.8
10: 1
Created graphics data file 'equidistant2_data.txt'
Created graphics command file 'equidistant2_commands.txt'
LEBESGUE_TEST07:
Analyze Equidistant3 points.
Equidistant3 Lebesgue constants for N = 1 to 11:
0: 1
1: 2
2: 3.5
3: 6
4: 10.375
5: 18.25
6: 32.6875
7: 59.5
8: 109.773
9: 204.734
10: 385.16
Equidistant3 points for N = 11
0: -0.909091
1: -0.727273
2: -0.545455
3: -0.363636
4: -0.181818
5: 0
6: 0.181818
7: 0.363636
8: 0.545455
9: 0.727273
10: 0.909091
Created graphics data file 'equidistant3_data.txt'
Created graphics command file 'equidistant3_commands.txt'
LEBESGUE_TEST08:
Analyze Fejer1 points.
Fejer1 Lebesgue constants for N = 1 to 11:
0: 1
1: 1.41421
2: 1.66667
3: 1.84776
4: 1.98885
5: 2.1044
6: 2.20221
7: 2.28702
8: 2.36186
9: 2.42883
10: 2.48943
Fejer1 points for N = 11
0: -0.989821
1: -0.909632
2: -0.75575
3: -0.540641
4: -0.281733
5: 2.83277e-16
6: 0.281733
7: 0.540641
8: 0.75575
9: 0.909632
10: 0.989821
Created graphics data file 'fejer1_data.txt'
Created graphics command file 'fejer1_commands.txt'
LEBESGUE_TEST09:
Analyze Fejer2 points.
Fejer2 Lebesgue constants for N = 1 to 11:
0: 1
1: 2
2: 3
3: 4
4: 5
5: 6
6: 7
7: 8
8: 9
9: 10
10: 11
Fejer2 points for N = 11
0: -0.965926
1: -0.866025
2: -0.707107
3: -0.5
4: -0.258819
5: 6.12323e-17
6: 0.258819
7: 0.5
8: 0.707107
9: 0.866025
10: 0.965926
Created graphics data file 'fejer2_data.txt'
Created graphics command file 'fejer2_commands.txt'
LEBESGUE_PRB
Normal end of execution.
04 March 2014 08:30:43 AM