14 October 2012 10:16:27 AM
LAGRANGE_INTERP_1D_TEST:
C++ version
Test the LAGRANGE_INTERP_1D library.
The R8LIB library is needed.
These tests need the TEST_INTERP_1D library.
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use even spacing for data points.
Number of data points = 4
Data array:
0: 0 -1
1: 0.333333 -1
2: 0.666667 2
3: 1 1
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.85883
Normalized length of polynomial interpolant = 2.48638
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use even spacing for data points.
Number of data points = 8
Data array:
0: 0 -1
1: 0.142857 -1
2: 0.285714 -1
3: 0.428571 2
4: 0.571429 2
5: 0.714286 2
6: 0.857143 1
7: 1 1
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.08709
Normalized length of polynomial interpolant = 5.83892
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use even spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.20882
Normalized length of polynomial interpolant = 147.79
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use even spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.27089
Normalized length of polynomial interpolant = 796416
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use even spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.30209
Normalized length of polynomial interpolant = 1.9413e+14
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use even spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.32552
Normalized length of polynomial interpolant = 6.49646e+65
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use even spacing for data points.
Number of data points = 4
Data array:
0: 0 1
1: 0.333333 0
2: 0.666667 2
3: 1 4
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61852
Normalized length of polynomial interpolant = 1.70739
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use even spacing for data points.
Number of data points = 8
Data array:
0: 0 1
1: 0.142857 0.571429
2: 0.285714 0.142857
3: 0.428571 0.571429
4: 0.571429 1.42857
5: 0.714286 2.28571
6: 0.857143 3.14286
7: 1 4
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.59966
Normalized length of polynomial interpolant = 1.63623
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use even spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61852
Normalized length of polynomial interpolant = 9.25225
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use even spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61449
Normalized length of polynomial interpolant = 1183.02
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use even spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61852
Normalized length of polynomial interpolant = 2.38644e+12
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use even spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61852
Normalized length of polynomial interpolant = 1.92585e+63
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use even spacing for data points.
Number of data points = 4
Data array:
0: 0 -0
1: 0.333333 0.119067
2: 0.666667 1.6417
3: 1 0
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.38078
Normalized length of polynomial interpolant = 2.86543
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use even spacing for data points.
Number of data points = 8
Data array:
0: 0 -0
1: 0.142857 0.245377
2: 0.285714 0.279339
3: 0.428571 0.0276823
4: 0.571429 0.945157
5: 0.714286 1.68054
6: 0.857143 -0.138391
7: 1 0
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.66447
Normalized length of polynomial interpolant = 4.21154
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use even spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.74314
Normalized length of polynomial interpolant = 2.83918
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use even spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.77246
Normalized length of polynomial interpolant = 2.79515
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use even spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.77759
Normalized length of polynomial interpolant = 8.33123
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use even spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.78044
Normalized length of polynomial interpolant = 5.83284e+56
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use even spacing for data points.
Number of data points = 4
Data array:
0: 0 -1.50423
1: 0.333333 -1.03038
2: 0.666667 1.48529
3: 1 1.53082
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.59514
Normalized length of polynomial interpolant = 1.96499
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use even spacing for data points.
Number of data points = 8
Data array:
0: 0 -1.50423
1: 0.142857 -1.46352
2: 0.285714 -1.29779
3: 0.428571 1.13417
4: 0.571429 1.4442
5: 0.714286 1.49725
6: 0.857143 1.51899
7: 1 1.53082
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.71584
Normalized length of polynomial interpolant = 3.72616
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use even spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.72771
Normalized length of polynomial interpolant = 50.5551
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use even spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.73362
Normalized length of polynomial interpolant = 115373
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use even spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.73515
Normalized length of polynomial interpolant = 1.72013e+12
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use even spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.73562
Normalized length of polynomial interpolant = 8.18788e+59
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use even spacing for data points.
Number of data points = 4
Data array:
0: 0 16
1: 0.333333 -10.961
2: 0.666667 -1.70409
3: 1 13.3791
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.18385
Normalized length of polynomial interpolant = 2.2424
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use even spacing for data points.
Number of data points = 8
Data array:
0: 0 16
1: 0.142857 -6.20529
2: 0.285714 -4.03377
3: 0.428571 -1.54321
4: 0.571429 7.00912
5: 0.714286 0.545036
6: 0.857143 -12.9168
7: 1 13.3791
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 3.1105
Normalized length of polynomial interpolant = 3.3572
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use even spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 7.14285
Normalized length of polynomial interpolant = 56.0722
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use even spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 9.2907
Normalized length of polynomial interpolant = 41714.4
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use even spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 9.61503
Normalized length of polynomial interpolant = 13.924
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use even spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 9.80647
Normalized length of polynomial interpolant = 1.38267e+57
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use even spacing for data points.
Number of data points = 4
Data array:
0: 0 0.367879
1: 0.333333 0.894839
2: 0.666667 0.0621765
3: 1 0.00012341
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.00577
Normalized length of polynomial interpolant = 2.52253
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use even spacing for data points.
Number of data points = 8
Data array:
0: 0 0.367879
1: 0.142857 0.832208
2: 0.285714 0.979799
3: 0.428571 0.600373
4: 0.571429 0.191463
5: 0.714286 0.031778
6: 0.857143 0.00274504
7: 1 0.00012341
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.06213
Normalized length of polynomial interpolant = 2.14003
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use even spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.07905
Normalized length of polynomial interpolant = 2.09102
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use even spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.0832
Normalized length of polynomial interpolant = 2.086
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use even spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.08417
Normalized length of polynomial interpolant = 11.9029
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use even spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.08447
Normalized length of polynomial interpolant = 2.00056e+57
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use even spacing for data points.
Number of data points = 4
Data array:
0: 0 1
1: 0.333333 3.79367
2: 0.666667 0
3: 1 0
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.19576
Normalized length of polynomial interpolant = 2.78067
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use even spacing for data points.
Number of data points = 8
Data array:
0: 0 1
1: 0.142857 1.77079
2: 0.285714 3.13571
3: 0.428571 5.55271
4: 0.571429 0
5: 0.714286 0
6: 0.857143 0
7: 1 0
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.38035
Normalized length of polynomial interpolant = 7.29847
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use even spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.45783
Normalized length of polynomial interpolant = 252.074
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use even spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.49372
Normalized length of polynomial interpolant = 3.90874e+06
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use even spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.51103
Normalized length of polynomial interpolant = 4.52691e+15
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use even spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.52373
Normalized length of polynomial interpolant = 7.71921e+71
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use even spacing for data points.
Number of data points = 4
Data array:
0: 0 0.0384615
1: 0.333333 0.264706
2: 0.666667 0.264706
3: 1 0.0384615
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.44152
Normalized length of polynomial interpolant = 2.55037
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use even spacing for data points.
Number of data points = 8
Data array:
0: 0 0.0384615
1: 0.142857 0.0727003
2: 0.285714 0.178832
3: 0.428571 0.662162
4: 0.571429 0.662162
5: 0.714286 0.178832
6: 0.857143 0.0727003
7: 1 0.0384615
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.4693
Normalized length of polynomial interpolant = 3.75446
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use even spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.46673
Normalized length of polynomial interpolant = 13.4716
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use even spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.45344
Normalized length of polynomial interpolant = 3158.62
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use even spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.44457
Normalized length of polynomial interpolant = 6.08771e+08
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use even spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.43931
Normalized length of polynomial interpolant = 4.56614e+57
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use Chebyshev spacing for data points.
Number of data points = 4
Data array:
0: 0 -1
1: 0.25 -1
2: 0.75 2
3: 1 1
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.7847
Normalized length of polynomial interpolant = 1.95045
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use Chebyshev spacing for data points.
Number of data points = 8
Data array:
0: 0 -1
1: 0.0495156 -1
2: 0.188255 -1
3: 0.38874 2
4: 0.61126 2
5: 0.811745 1
6: 0.950484 1
7: 1 1
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.00791
Normalized length of polynomial interpolant = 2.40029
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use Chebyshev spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.16839
Normalized length of polynomial interpolant = 2.96052
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use Chebyshev spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.24719
Normalized length of polynomial interpolant = 3.5266
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use Chebyshev spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.2909
Normalized length of polynomial interpolant = 4.23538
TEST02:
Interpolate data from TEST_INTERP_1D problem #1
Use Chebyshev spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.32265
Normalized length of polynomial interpolant = 5.27686
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use Chebyshev spacing for data points.
Number of data points = 4
Data array:
0: 0 1
1: 0.25 0.25
2: 0.75 2.5
3: 1 4
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.57288
Normalized length of polynomial interpolant = 1.61239
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use Chebyshev spacing for data points.
Number of data points = 8
Data array:
0: 0 1
1: 0.0495156 0.851453
2: 0.188255 0.435235
3: 0.38874 0.332437
4: 0.61126 1.66756
5: 0.811745 2.87047
6: 0.950484 3.70291
7: 1 4
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61767
Normalized length of polynomial interpolant = 1.64485
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use Chebyshev spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61535
Normalized length of polynomial interpolant = 1.62787
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use Chebyshev spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61493
Normalized length of polynomial interpolant = 1.61988
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use Chebyshev spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61947
Normalized length of polynomial interpolant = 1.62215
TEST02:
Interpolate data from TEST_INTERP_1D problem #2
Use Chebyshev spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.61837
Normalized length of polynomial interpolant = 1.61902
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use Chebyshev spacing for data points.
Number of data points = 4
Data array:
0: 0 -0
1: 0.25 0.379687
2: 0.75 1.49297
3: 1 0
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.28519
Normalized length of polynomial interpolant = 2.43035
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use Chebyshev spacing for data points.
Number of data points = 8
Data array:
0: 0 -0
1: 0.0495156 -0.233633
2: 0.188255 0.40015
3: 0.38874 0.00401283
4: 0.61126 1.29446
5: 0.811745 0.705402
6: 0.950484 -1.21883
7: 1 0
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.78176
Normalized length of polynomial interpolant = 3.17146
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use Chebyshev spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.78384
Normalized length of polynomial interpolant = 2.93189
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use Chebyshev spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.78797
Normalized length of polynomial interpolant = 2.81159
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use Chebyshev spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.77963
Normalized length of polynomial interpolant = 2.78531
TEST02:
Interpolate data from TEST_INTERP_1D problem #3
Use Chebyshev spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.78074
Normalized length of polynomial interpolant = 2.78099
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use Chebyshev spacing for data points.
Number of data points = 4
Data array:
0: 0 -1.50423
1: 0.25 -1.3734
2: 0.75 1.50423
3: 1 1.53082
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.57574
Normalized length of polynomial interpolant = 1.70206
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use Chebyshev spacing for data points.
Number of data points = 8
Data array:
0: 0 -1.50423
1: 0.0495156 -1.49414
2: 0.188255 -1.43772
3: 0.38874 0.502522
4: 0.61126 1.46537
5: 0.811745 1.51362
6: 0.950484 1.52738
7: 1 1.53082
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.63654
Normalized length of polynomial interpolant = 1.7088
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use Chebyshev spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.72032
Normalized length of polynomial interpolant = 1.93553
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use Chebyshev spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.7311
Normalized length of polynomial interpolant = 1.74357
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use Chebyshev spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.73453
Normalized length of polynomial interpolant = 1.73798
TEST02:
Interpolate data from TEST_INTERP_1D problem #4
Use Chebyshev spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 1.73558
Normalized length of polynomial interpolant = 1.73565
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use Chebyshev spacing for data points.
Number of data points = 4
Data array:
0: 0 16
1: 0.25 -10.1153
2: 0.75 -7.76263
3: 1 13.3791
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.3861
Normalized length of polynomial interpolant = 2.70631
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use Chebyshev spacing for data points.
Number of data points = 8
Data array:
0: 0 16
1: 0.0495156 -3.29024
2: 0.188255 9.45586
3: 0.38874 6.34917
4: 0.61126 14.5226
5: 0.811745 4.39835
6: 0.950484 -8.65807
7: 1 13.3791
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 3.85448
Normalized length of polynomial interpolant = 4.76505
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use Chebyshev spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 3.30304
Normalized length of polynomial interpolant = 3.98729
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use Chebyshev spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 6.43086
Normalized length of polynomial interpolant = 7.97188
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use Chebyshev spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 9.42538
Normalized length of polynomial interpolant = 10.2614
TEST02:
Interpolate data from TEST_INTERP_1D problem #5
Use Chebyshev spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 9.81407
Normalized length of polynomial interpolant = 9.84141
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use Chebyshev spacing for data points.
Number of data points = 4
Data array:
0: 0 0.367879
1: 0.25 1
2: 0.75 0.0183156
3: 1 0.00012341
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.03229
Normalized length of polynomial interpolant = 2.19579
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use Chebyshev spacing for data points.
Number of data points = 8
Data array:
0: 0 0.367879
1: 0.0495156 0.525658
2: 0.188255 0.940824
3: 0.38874 0.734931
4: 0.61126 0.123917
5: 0.811745 0.00641628
6: 0.950484 0.000389419
7: 1 0.00012341
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.04553
Normalized length of polynomial interpolant = 2.15454
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use Chebyshev spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.06863
Normalized length of polynomial interpolant = 2.08447
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use Chebyshev spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.08401
Normalized length of polynomial interpolant = 2.08941
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use Chebyshev spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.08321
Normalized length of polynomial interpolant = 2.08447
TEST02:
Interpolate data from TEST_INTERP_1D problem #6
Use Chebyshev spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.08441
Normalized length of polynomial interpolant = 2.08447
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use Chebyshev spacing for data points.
Number of data points = 4
Data array:
0: 0 1
1: 0.25 2.71828
2: 0.75 0
3: 1 0
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.0478
Normalized length of polynomial interpolant = 2.21752
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use Chebyshev spacing for data points.
Number of data points = 8
Data array:
0: 0 1
1: 0.0495156 1.21904
2: 0.188255 2.1234
3: 0.38874 4.73489
4: 0.61126 0
5: 0.811745 0
6: 0.950484 0
7: 1 0
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.30388
Normalized length of polynomial interpolant = 2.71904
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use Chebyshev spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.41941
Normalized length of polynomial interpolant = 3.09866
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use Chebyshev spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.47456
Normalized length of polynomial interpolant = 3.45165
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use Chebyshev spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.50147
Normalized length of polynomial interpolant = 3.8185
TEST02:
Interpolate data from TEST_INTERP_1D problem #7
Use Chebyshev spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.52135
Normalized length of polynomial interpolant = 4.52052
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use Chebyshev spacing for data points.
Number of data points = 4
Data array:
0: 0 0.0384615
1: 0.25 0.137931
2: 0.75 0.137931
3: 1 0.0384615
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.56155
Normalized length of polynomial interpolant = 2.93586
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use Chebyshev spacing for data points.
Number of data points = 8
Data array:
0: 0 0.0384615
1: 0.0495156 0.0469624
2: 0.188255 0.0932967
3: 0.38874 0.44685
4: 0.61126 0.44685
5: 0.811745 0.0932967
6: 0.950484 0.0469624
7: 1 0.0384615
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.46567
Normalized length of polynomial interpolant = 2.84243
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use Chebyshev spacing for data points.
Number of data points = 16
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.47348
Normalized length of polynomial interpolant = 2.72006
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use Chebyshev spacing for data points.
Number of data points = 32
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.46203
Normalized length of polynomial interpolant = 2.55161
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use Chebyshev spacing for data points.
Number of data points = 64
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.44965
Normalized length of polynomial interpolant = 2.468
TEST02:
Interpolate data from TEST_INTERP_1D problem #8
Use Chebyshev spacing for data points.
Number of data points = 256
L2 interpolation error averaged per interpolant node = 0
Normalized length of piecewise linear interpolant = 2.43996
Normalized length of polynomial interpolant = 2.44057
LAGRANGE_INTERP_1D_TEST:
Normal end of execution.
14 October 2012 10:16:34 AM