26 August 2014 09:25:29 AM
LINE_FEKETE_RULE_PRB
C version
Test the LINE_FEKETE_RULE library.
TEST01:
Seek Fekete points in [-1,1]
using 5001 equally spaced sample points
for polynomials of degree M = 5
using the monomial basis and uniform weight.
NF = 5
Estimated Fekete points XF:
0: -1
1: -0.6248
2: 0
3: 0.656
4: 1
Sum(WF) = 2
TEST01:
Seek Fekete points in [-1,1]
using 5001 equally spaced sample points
for polynomials of degree M = 11
using the monomial basis and uniform weight.
NF = 11
Estimated Fekete points XF:
0: -1
1: -0.8996
2: -0.7056
3: -0.5676
4: -0.4124
5: -0.046
6: 0.3084
7: 0.4948
8: 0.6512
9: 0.8868
10: 1
Sum(WF) = 2
TEST01:
Seek Fekete points in [-1,1]
using 5001 equally spaced sample points
for polynomials of degree M = 21
using the monomial basis and uniform weight.
NF = 21
Estimated Fekete points XF:
0: -1
1: -0.9824
2: -0.9516
3: -0.8976
4: -0.838
5: -0.7368
6: -0.5972
7: -0.4524
8: -0.3184
9: -0.1688
10: -0.0132
11: 0.1552
12: 0.3268
13: 0.4528
14: 0.5588
15: 0.7228
16: 0.8324
17: 0.8924
18: 0.95
19: 0.9816
20: 1
Sum(WF) = 2
TEST02:
Seek Fekete points in [-1,1]
using 5001 equally spaced sample points
for polynomials of degree M = 5
with the Chebyshev basis.
NF = 5
Estimated Fekete points XF:
0: -1
1: -0.6636
2: -0.008
3: 0.6412
4: 1
Sum(WF) = 3.14159
TEST02:
Seek Fekete points in [-1,1]
using 5001 equally spaced sample points
for polynomials of degree M = 11
with the Chebyshev basis.
NF = 11
Estimated Fekete points XF:
0: -1
1: -0.9372
2: -0.7896
3: -0.5696
4: -0.2968
5: 0.0008
6: 0.3032
7: 0.5744
8: 0.7916
9: 0.9376
10: 1
Sum(WF) = 3.14159
TEST02:
Seek Fekete points in [-1,1]
using 5001 equally spaced sample points
for polynomials of degree M = 21
with the Chebyshev basis.
NF = 21
Estimated Fekete points XF:
0: -1
1: -0.984
2: -0.9448
3: -0.8836
4: -0.8012
5: -0.7
6: -0.582
7: -0.4496
8: -0.3064
9: -0.1564
10: -0.0004
11: 0.1548
12: 0.3076
13: 0.4508
14: 0.5824
15: 0.7004
16: 0.8012
17: 0.8832
18: 0.9444
19: 0.9836
20: 1
Sum(WF) = 3.14159
TEST03:
Seek Fekete points in [-1,1]
using 5001 equally spaced sample points
for polynomials of degree M = 5
with the Legendre basis and uniform weight.
NF = 5
Estimated Fekete points XF:
0: -1
1: -0.5924
2: 0.0044
3: 0.6048
4: 1
Sum(WF) = 2
TEST03:
Seek Fekete points in [-1,1]
using 5001 equally spaced sample points
for polynomials of degree M = 11
with the Legendre basis and uniform weight.
NF = 11
Estimated Fekete points XF:
0: -1
1: -0.9168
2: -0.726
3: -0.5388
4: -0.2912
5: -0.0012
6: 0.288
7: 0.538
8: 0.7256
9: 0.9172
10: 1
Sum(WF) = 2
TEST03:
Seek Fekete points in [-1,1]
using 5001 equally spaced sample points
for polynomials of degree M = 21
with the Legendre basis and uniform weight.
NF = 21
Estimated Fekete points XF:
0: -1
1: -0.9772
2: -0.9228
3: -0.8692
4: -0.7952
5: -0.6456
6: -0.5496
7: -0.4216
8: -0.2932
9: -0.1512
10: -0.0052
11: 0.1396
12: 0.2852
13: 0.416
14: 0.5416
15: 0.6324
16: 0.7952
17: 0.8692
18: 0.9228
19: 0.9772
20: 1
Sum(WF) = 2
LINE_FEKETE_RULE_PRB
Normal end of execution.
26 August 2014 09:25:29 AM