>>van_der_corput_test
27-Feb-2003 16:57:55

van_der_corput_test
  Sample problems for van_der_corput.

VAN_DER_CORPUT_TEST01
  VAN_DER_CORPUT returns the next element
  of a van der Corput sequence in the current base.

  I   R

0 0.000000
1 0.500000
2 0.250000
3 0.750000
4 0.125000
5 0.625000
6 0.375000
7 0.875000
8 0.062500
9 0.562500
10 0.312500

VAN_DER_CORPUT_TEST02
  VAN_DER_CORPUT_SEQUENCE returns N elements
  of a van der Corput sequence in the current base.

  I   R

0 0.000000
1 0.500000
2 0.250000
3 0.750000
4 0.125000
5 0.625000
6 0.375000
7 0.875000
8 0.062500
9 0.562500

VAN_DER_CORPUT_TEST03
  VAN_DER_CORPUT_SEED_SET sets the seed;
  VAN_DER_CORPUT_SEED_GET gets the seed;

  In this test, we demonstrate computing elements
  affects the seed, and how resetting the seed determines
  the next element computed.

  We start at element 0 and compute 10 elements.

0 0.000000
1 0.500000
2 0.250000
3 0.750000
4 0.125000
5 0.625000
6 0.375000
7 0.875000
8 0.062500
9 0.562500

  The current seed is 10

  We jump back to element 6 and compute 10 elements.

6 0.375000
7 0.875000
8 0.062500
9 0.562500
10 0.312500
11 0.812500
12 0.187500
13 0.687500
14 0.437500
15 0.937500

  The current seed is 16

  We restart at element 0 and compute 6 elements.

0 0.000000
1 0.500000
2 0.250000
3 0.750000
4 0.125000
5 0.625000

  The current seed is 6

  We jump to element 100 and compute 5 elements.

100 0.148438
101 0.648438
102 0.398438
103 0.898438
104 0.085938

  The current seed is 105

VAN_DER_CORPUT_TEST05
  I_TO_VAN_DER_CORPUT returns the I-th element
  of a van der Corput sequence to a given base.

  Base    Seed   R


2
0 0.000000
1 0.500000
2 0.250000
3 0.750000
4 0.125000
5 0.625000
6 0.375000
7 0.875000
8 0.062500
9 0.562500
10 0.312500

3
0 0.000000
1 0.333333
2 0.666667
3 0.111111
4 0.444444
5 0.777778
6 0.222222
7 0.555556
8 0.888889
9 0.037037
10 0.370370

4
0 0.000000
1 0.250000
2 0.500000
3 0.750000
4 0.062500
5 0.312500
6 0.562500
7 0.812500
8 0.125000
9 0.375000
10 0.625000

5
0 0.000000
1 0.200000
2 0.400000
3 0.600000
4 0.800000
5 0.040000
6 0.240000
7 0.440000
8 0.640000
9 0.840000
10 0.080000

VAN_DER_CORPUT_TEST06
  I_TO_VAN_DER_CORPUT_SEQUENCE returns N elements
  of a van der Corput sequence to a given base.

  Base    Seed   R


2
0 0.000000
1 0.500000
2 0.250000
3 0.750000
4 0.125000
5 0.625000
6 0.375000
7 0.875000
8 0.062500
9 0.562500

3
0 0.000000
1 0.333333
2 0.666667
3 0.111111
4 0.444444
5 0.777778
6 0.222222
7 0.555556
8 0.888889
9 0.037037

4
0 0.000000
1 0.250000
2 0.500000
3 0.750000
4 0.062500
5 0.312500
6 0.562500
7 0.812500
8 0.125000
9 0.375000

5
0 0.000000
1 0.200000
2 0.400000
3 0.600000
4 0.800000
5 0.040000
6 0.240000
7 0.440000
8 0.640000
9 0.840000

van_der_corput_test
  Normal end of execution.

27-Feb-2003 16:57:55