Mon Jun 13 14:43:11 2022

collatz_test():
  Python version: 3.6.9
  Test collatz().

collatz_test01():
  collatz() computes the Collatz sequence for a given key.

  key: 5
  Sequence length: 6

[5, 16, 8, 4, 2, 1]

  key: 6
  Sequence length: 9

[6, 3, 10, 5, 16, 8, 4, 2, 1]

  key: 19
  Sequence length: 21

[19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]

  key: 27
  Sequence length: 112

[27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]

  key: 95
  Sequence length: 106

[95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]

collatz_test02():
  collatz_count() computes the length of the Collatz sequence
  for a given key.
     1         1
     2         2
     3         8
     4         3
     5         6
     6         9
     7        17
     8         4
     9        20
    10         7
    11        15
    12        10
    13        10
    14        18
    15        18
    16         5
    17        13
    18        21
    19        21
    20         8
    21         8
    22        16
    23        16
    24        11
    25        24
    26        11
    27       112
    28        19
    29        19
    30        19
    31       107
    32         6
    33        27
    34        14
    35        14
    36        22
    37        22
    38        22
    39        35
    40         9
    41       110
    42         9
    43        30
    44        17
    45        17
    46        17
    47       105
    48        12
    49        25
    50        25
    51        25
    52        12
    53        12
    54       113
    55       113
    56        20
    57        33
    58        20
    59        33
    60        20
    61        20
    62       108
    63       108
    64         7
    65        28
    66        28
    67        28
    68        15
    69        15
    70        15
    71       103
    72        23
    73       116
    74        23
    75        15
    76        23
    77        23
    78        36
    79        36
    80        10
    81        23
    82       111
    83       111
    84        10
    85        10
    86        31
    87        31
    88        18
    89        31
    90        18
    91        93
    92        18
    93        18
    94       106
    95       106
    96        13
    97       119
    98        26
    99        26
   100        26

collatz_test03():
  Write Collatz sequence data to a file.
  Data saved as "collatz_27.txt"
  Data saved as "collatz_count.txt"

collatz_test04():
  Plot the points of a Collatz sequence.
  Graphics saved as "collatz_sequence_27.png"

collatz_test05():
  Plot the Collatz max values
  Graphics saved as "collatz_max.png"

collatz_test06():
  Plot the Collatz count for starting values 1 to 100
  Graphics saved as "collatz_count.png"

mollatz_test()
  mollatz() computes the Mollatz sequence for a given key.

  key: 5
  Sequence length: 6

[5, 14, 7, 20, 10, 5]

  key: 6
  Sequence length: 7

[6, 3, 8, 4, 2, 1, 2]

  key: 19
  Sequence length: 9

[19, 56, 28, 14, 7, 20, 10, 5, 14]

  key: 27
  Sequence length: 9

[27, 80, 40, 20, 10, 5, 14, 7, 20]

  key: 95
  Sequence length: 24

[95, 284, 142, 71, 212, 106, 53, 158, 79, 236, 118, 59, 176, 88, 44, 22, 11, 32, 16, 8, 4, 2, 1, 2]

nollatz_test():
  nollatz() computes the Nollatz sequence for a given key.

  key: 5
  Sequence length: 6

[5, 6, 3, 4, 2, 1]

  key: 6
  Sequence length: 5

[6, 3, 4, 2, 1]

  key: 19
  Sequence length: 9

[19, 20, 10, 5, 6, 3, 4, 2, 1]

  key: 27
  Sequence length: 8

[27, 28, 14, 7, 8, 4, 2, 1]

  key: 95
  Sequence length: 10

[95, 96, 48, 24, 12, 6, 3, 4, 2, 1]

collatz_test():
  Normal end of execution.
Mon Jun 13 14:43:11 2022