10 August 2016 09:59:35 AM

VAN_DER_CORPUT_TEST
  C++ version
  Test the VAN_DER_CORPUT library.

VDC_TEST
  VDC returns the I-th element of a van der Corput sequence.

    I          VDC(I)

  -10         -0.3125
   -9         -0.5625
   -8         -0.0625
   -7          -0.875
   -6          -0.375
   -5          -0.625
   -4          -0.125
   -3           -0.75
   -2           -0.25
   -1            -0.5
    0               0
    1             0.5
    2            0.25
    3            0.75
    4           0.125
    5           0.625
    6           0.375
    7           0.875
    8          0.0625
    9          0.5625
   10          0.3125

VDC_INVERSE_TEST
  VDC_INVERSE inverts an element of a van der Corput sequence.

    I        R=VDC(I)  VDC_INVERSE(R)

  -10         -0.3125  -10
   -9         -0.5625   -9
   -8         -0.0625   -8
   -7          -0.875   -7
   -6          -0.375   -6
   -5          -0.625   -5
   -4          -0.125   -4
   -3           -0.75   -3
   -2           -0.25   -2
   -1            -0.5   -1
    0               0    0
    1             0.5    1
    2            0.25    2
    3            0.75    3
    4           0.125    4
    5           0.625    5
    6           0.375    6
    7           0.875    7
    8          0.0625    8
    9          0.5625    9
   10          0.3125   10

VDC_SEQUENCE_TEST
  VDC_SEQUENCE returns elements I1 through I2 of
  a van der Corput sequence.

  R=VDC_SEQUENCE(  7,  7):           0.875

  R=VDC_SEQUENCE(  0,  8):               0           0.5          0.25          0.75         0.125
                                     0.625         0.375         0.875        0.0625

  R=VDC_SEQUENCE(  8,  0):          0.0625         0.875         0.375         0.625         0.125
                                      0.75          0.25           0.5             0

  R=VDC_SEQUENCE( -3,  5):           -0.75         -0.25          -0.5             0           0.5
                                      0.25          0.75         0.125         0.625

  R=VDC_SEQUENCE(100,105):        0.148438      0.648438      0.398438      0.898438     0.0859375
                                  0.585938

VDC_BASE_TEST
  VDC_BASE returns the I-th element of a van der Corput
  sequence in base B.

    I          VDC_BASE(I,2)   VDC_BASE(I,3)   VDC_BASE(I,5)

  -10               -0.3125        -0.37037           -0.08
   -9               -0.5625       -0.037037           -0.84
   -8               -0.0625       -0.888889           -0.64
   -7                -0.875       -0.555556           -0.44
   -6                -0.375       -0.222222           -0.24
   -5                -0.625       -0.777778           -0.04
   -4                -0.125       -0.444444            -0.8
   -3                 -0.75       -0.111111            -0.6
   -2                 -0.25       -0.666667            -0.4
   -1                  -0.5       -0.333333            -0.2
    0                     0               0               0
    1                   0.5        0.333333             0.2
    2                  0.25        0.666667             0.4
    3                  0.75        0.111111             0.6
    4                 0.125        0.444444             0.8
    5                 0.625        0.777778            0.04
    6                 0.375        0.222222            0.24
    7                 0.875        0.555556            0.44
    8                0.0625        0.888889            0.64
    9                0.5625        0.037037            0.84
   10                0.3125         0.37037            0.08

VAN_DER_CORPUT_TEST
  Normal end of execution.

10 August 2016 09:59:35 AM