20 January 2020 09:15:50 AM
HAMMERSLEY_TEST:
C version
Test the HAMMERSLEY library.
HAMMERSLEY_TEST
HAMMERSLEY returns the I-th element of an M-dimensional
Hammersley sequence.
I HAMMERSLEY(I)
Use M = 1
N = 16
0 0
1 0.0625
2 0.125
3 0.1875
4 0.25
5 0.3125
6 0.375
7 0.4375
8 0.5
9 0.5625
10 0.625
Use M = 2
N = 16
0 0 0
1 0.0625 0.5
2 0.125 0.25
3 0.1875 0.75
4 0.25 0.125
5 0.3125 0.625
6 0.375 0.375
7 0.4375 0.875
8 0.5 0.0625
9 0.5625 0.5625
10 0.625 0.3125
Use M = 3
N = 16
0 0 0 0
1 0.0625 0.5 0.333333
2 0.125 0.25 0.666667
3 0.1875 0.75 0.111111
4 0.25 0.125 0.444444
5 0.3125 0.625 0.777778
6 0.375 0.375 0.222222
7 0.4375 0.875 0.555556
8 0.5 0.0625 0.888889
9 0.5625 0.5625 0.037037
10 0.625 0.3125 0.37037
HAMMERSLEY_INVERSE_TEST
HAMMERSLEY_INVERSE inverts an element of a Hammersley sequence.
I R=HAMMERSLEY(I,3) HAMMERSLEY_INVERSE(R,3)
0 0 0 0 0
1 0.0625 0.5 0.333333 1
2 0.125 0.25 0.666667 2
3 0.1875 0.75 0.111111 3
4 0.25 0.125 0.444444 4
5 0.3125 0.625 0.777778 5
6 0.375 0.375 0.222222 6
7 0.4375 0.875 0.555556 7
8 0.5 0.0625 0.888889 8
9 0.5625 0.5625 0.037037 9
10 0.625 0.3125 0.37037 10
HAMMERSLEY_SEQUENCE_TEST
HAMMERSLEY_SEQUENCE returns the elements I1 through I2
of an M-dimensional Hammersley sequence.
HAMMERSLEY_SEQUENCE(0,10,1,N,R):
R:
Col: 0 1 2 3 4
Row
0: 0 0.0625 0.125 0.1875 0.25
Col: 5 6 7 8 9
Row
0: 0.3125 0.375 0.4375 0.5 0.5625
Col: 10
Row
0: 0.625
HAMMERSLEY_SEQUENCE(0,10,2,N,R):
R:
Col: 0 1 2 3 4
Row
0: 0 0.0625 0.125 0.1875 0.25
1: 0 0.5 0.25 0.75 0.125
Col: 5 6 7 8 9
Row
0: 0.3125 0.375 0.4375 0.5 0.5625
1: 0.625 0.375 0.875 0.0625 0.5625
Col: 10
Row
0: 0.625
1: 0.3125
HAMMERSLEY_SEQUENCE(0,10,3,N,R):
R:
Col: 0 1 2 3 4
Row
0: 0 0.0625 0.125 0.1875 0.25
1: 0 0.5 0.25 0.75 0.125
2: 0 0.333333 0.666667 0.111111 0.444444
Col: 5 6 7 8 9
Row
0: 0.3125 0.375 0.4375 0.5 0.5625
1: 0.625 0.375 0.875 0.0625 0.5625
2: 0.777778 0.222222 0.555556 0.888889 0.037037
Col: 10
Row
0: 0.625
1: 0.3125
2: 0.37037
HAMMERSLEY_SEQUENCE(10,0,3,N,R)
R:
Col: 0 1 2 3 4
Row
0: 0.625 0.5625 0.5 0.4375 0.375
1: 0.3125 0.5625 0.0625 0.875 0.375
2: 0.37037 0.037037 0.888889 0.555556 0.222222
Col: 5 6 7 8 9
Row
0: 0.3125 0.25 0.1875 0.125 0.0625
1: 0.625 0.125 0.75 0.25 0.5
2: 0.777778 0.444444 0.111111 0.666667 0.333333
Col: 10
Row
0: 0
1: 0
2: 0
HAMMERSLEY_TEST:
Normal end of execution.
20 January 2020 09:15:50 AM
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