>> rand_test
11-Jun-2012 15:58:51

RAND_TEST:
  MATLAB version
  Test the MATLAB RAND function.

RAND_TEST01:
  In MATLAB, unit random numbers are generated by calling RAND:

  A = rand ( )      a random scalar value.
  B = rand ( 5, 1 ) a random column vector of 5 entries.
  C = rand ( 1, 5 ) a random row vector of 5 entries.
  D = rand ( 3, 4 ) a 3 by 4 random matrix.
  E = rand ( 5 )    a 5 by 5 random matrix.

a =

    0.1954


b =

    0.5357
    0.0070
    0.5555
    0.0882
    0.9447


c =

    0.1037    0.3044    0.4321    0.0960    0.8795


d =

    0.4961    0.4842    0.8362    0.1146
    0.9611    0.4599    0.4767    0.3620
    0.8500    0.8635    0.8786    0.6463


e =

    0.8118    0.8585    0.8465    0.0997    0.3893
    0.9436    0.3477    0.9979    0.9614    0.9230
    0.9043    0.0182    0.7316    0.2513    0.5029
    0.3433    0.1560    0.5484    0.4184    0.3784
    0.0642    0.5856    0.5977    0.9359    0.6705


RAND_TEST02:
  By setting the random number seed, you can control
  how the random number sequence begins.

  The command "rng ( 123456789 )" sets the seed to 123456789.

  Seed has been set to 123456789

  Now generate 5 random values.
  RAND() = 0.532833
  RAND() = 0.534137
  RAND() = 0.509553
  RAND() = 0.713564
  RAND() = 0.256999

  Seed has been reset to 123456789

  Now generate 5 more random values.
  RAND() = 0.532833
  RAND() = 0.534137
  RAND() = 0.509553
  RAND() = 0.713564
  RAND() = 0.256999

RAND_TEST02:
  By setting the random number seed, you can control
  how the random number sequence begins.

  The command "rng ( 123456789 )" sets the seed to 123456789.

  Seed has been set to 123456789

  Now generate 5 random values.
  RAND() = 0.532833
  RAND() = 0.534137
  RAND() = 0.509553
  RAND() = 0.713564
  RAND() = 0.256999

  Seed has been reset to 123456789

  Now generate 5 more random values.
  RAND() = 0.532833
  RAND() = 0.534137
  RAND() = 0.509553
  RAND() = 0.713564
  RAND() = 0.256999

RAND_TEST02:
  By setting the random number seed, you can control
  how the random number sequence begins.

  The command "rng ( 123456789 )" sets the seed to 123456789.

  Seed has been set to 123456789

  Now generate 5 random values.
  RAND() = 0.532833
  RAND() = 0.534137
  RAND() = 0.509553
  RAND() = 0.713564
  RAND() = 0.256999

  Seed has been reset to 123456789

  Now generate 5 more random values.
  RAND() = 0.532833
  RAND() = 0.534137
  RAND() = 0.509553
  RAND() = 0.713564
  RAND() = 0.256999

RAND_TEST03:
  Compute a lot of random values.

  The average should be 0.5
  The variance should be 1/12.

         N    Ave        Ave-1/2   Var        Var-1/12

         1  0.752694   2.53e-01  0.000000  -8.33e-02
        10  0.497594  -2.41e-03  0.112223   2.89e-02
       100  0.501658   1.66e-03  0.085044   1.71e-03
      1000  0.499868  -1.32e-04  0.083581   2.48e-04
     10000  0.503508   3.51e-03  0.083392   5.89e-05
    100000  0.499446  -5.54e-04  0.083799   4.66e-04
   1000000  0.499723  -2.77e-04  0.083307  -2.65e-05
  10000000  0.499979  -2.12e-05  0.083323  -1.02e-05

RAND_TEST:
  Normal end of execution.

11-Jun-2012 15:58:52
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