Tue May 20 22:43:04 2025

toms515_test():
  python version: 3.10.12
  numpy version:  1.26.4
  Test toms515().

comb_test01():
  Generate all K-subsets of an N set.
  K = 3
  N = 5
  LMAX = 10

       1:  
       1
       2
       3

       2:  
       1
       2
       4

       3:  
       1
       2
       5

       4:  
       1
       3
       4

       5:  
       1
       3
       5

       6:  
       1
       4
       5

       7:  
       2
       3
       4

       8:  
       2
       3
       5

       9:  
       2
       4
       5

      10:  
       3
       4
       5


comb_test02():
  Generate all K-subsets of an N set.
  K = 3
  N = 5
  LMAX = 10

      10:  
       3
       4
       5

       3:  
       1
       2
       5

       3:  
       1
       2
       5

       3:  
       1
       2
       5

       1:  
       1
       2
       3

       9:  
       2
       4
       5

       7:  
       2
       3
       4

       3:  
       1
       2
       5

       8:  
       2
       3
       5

       4:  
       1
       3
       4


comb_test03():
  Generate 10 random K-subsets of an N set.
  K = 3
  N = 25
  LMAX = 2300

     229:  
       1
      15
      23

     298:  
       2
       3
      25

    1533:  
       8
      12
      16

       3:  
       1
       2
       5

    1503:  
       8
      10
      13

    1386:  
       7
      11
      18

     532:  
       3
       4
       7

    1629:  
       9
      10
      19

    2186:  
      16
      17
      23

    1974:  
      12
      16
      21


comb_test04():
  Generate 10 random K-subsets of an N set.
  K = 3
  N = 100
  LMAX = 161700

    5185:  
       2
       6
      52

    6851:  
       2
      26
      48

   71696:  
      18
      46
      87

  159938:  
      78
      79
      88

   25117:  
       6
      29
      46

  159671:  
      76
      97
      98

   59731:  
      15
      20
      61

    8783:  
       2
      59
      99

   65736:  
      16
      63
      86

   32591:  
       8
      16
      57


comb_test05():
  Generate 10 random K-subsets of an N set.
  K = 10
  N = 100
  LMAX = 17310309456440

  Note that this function is already
  failing because LMAX is negative.
  The combinatorial coefficient C(100,10)
  is too large to store in an integer.

  Although the program continues to give
  results, they cannot be relied on!

comb_test05(): Warning!
  The binomial coefficient cannot be
  computed in integer arithmetic for
  this choice of parameters.

i4_choose_test():
  i4_choose() evaluates C(N,K).

       N       K     CNK

       0       0       1

       1       0       1
       1       1       1

       2       0       1
       2       1       2
       2       2       1

       3       0       1
       3       1       3
       3       2       3
       3       3       1

       4       0       1
       4       1       4
       4       2       6
       4       3       4
       4       4       1

i4_choose_check_test():
  i4_choose_check() checks whether C(N,K)
  can be computed with integer arithmetic
  or not.

     N     K    CHECK?    i4_choose

    10     3        1        120
  1000   999        1        1000
   100     3        1        161700
   100    10        0   Not computable

toms515_test():
  Normal end of execution.
Tue May 20 22:43:04 2025