Thu Sep 13 18:30:57 2018
UNICYCLE_TEST
Python version: 3.6.5
Test the UNICYCLE library.
I4_FACTORIAL_TEST
Python version: 3.6.5
I4_FACTORIAL evaluates the factorial function.
N Exact I4_FACTORIAL(N)
0 1 1
1 1 1
2 2 2
3 6 6
4 24 24
5 120 120
6 720 720
7 5040 5040
8 40320 40320
9 362880 362880
10 3628800 3628800
11 39916800 39916800
12 479001600 479001600
I4_FACTORIAL_TEST
Normal end of execution.
I4_MODP_TEST
Python version: 3.6.5
I4_MODP factors a number
into a multiple M and a positive remainder R.
Number Divisor Multiple Remainder
107 50 2 7
107 -50 -2 7
-107 50 -3 43
-107 -50 3 43
Repeat using Python % Operator:
107 50 2 7
107 -50 -3 -43
-107 50 -3 43
-107 -50 2 -7
I4_MODP_TEST
Normal end of execution.
I4_UNIFORM_AB_TEST
Python version: 3.6.5
I4_UNIFORM_AB computes pseudorandom values
in an interval [A,B].
The lower endpoint A = -100
The upper endpoint B = 200
The initial seed is 123456789
1 -35
2 187
3 149
4 69
5 25
6 -81
7 -23
8 -67
9 -87
10 90
11 -82
12 35
13 20
14 127
15 139
16 -100
17 170
18 5
19 -72
20 -96
I4_UNIFORM_AB_TEST:
Normal end of execution.
I4_WRAP_TEST
Python version: 3.6.5
I4_WRAP forces an integer to lie within given limits.
ILO = 4
IHI = 8
I I4_WRAP(I)
-10 5
-9 6
-8 7
-7 8
-6 4
-5 5
-4 6
-3 7
-2 8
-1 4
0 5
1 6
2 7
3 8
4 4
5 5
6 6
7 7
8 8
9 4
10 5
11 6
12 7
13 8
14 4
15 5
16 6
17 7
18 8
19 4
20 5
I4_WRAP_TEST
Normal end of execution.
I4VEC_INDICATOR1_TEST
Python version: 3.6.5
I4VEC_INDICATOR1 returns an indicator vector.
The indicator1 vector:
0 1
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
I4VEC_INDICATOR1_TEST
Normal end of execution.
I4VEC_PRINT_TEST
Python version: 3.6.5
I4VEC_PRINT prints an I4VEC.
Here is an I4VEC:
0 91
1 92
2 93
3 94
I4VEC_PRINT_TEST:
Normal end of execution.
I4VEC_REVERSE_TEST
Python version: 3.6.5
I4VEC_REVERSE reverses a list of integers.
Original vector:
0 6
1 29
2 25
3 17
4 12
5 2
6 7
7 3
8 1
9 19
Reversed:
0 19
1 1
2 3
3 7
4 2
5 12
6 17
7 25
8 29
9 6
I4VEC_REVERSE_TEST:
Normal end of execution.
I4VEC_UNIFORM_AB_TEST
Python version: 3.6.5
I4VEC_UNIFORM_AB computes pseudorandom values
in an interval [A,B].
The lower endpoint A = -100
The upper endpoint B = 200
The initial seed is 123456789
The random vector:
0 -35
1 187
2 149
3 69
4 25
5 -81
6 -23
7 -67
8 -87
9 90
10 -82
11 35
12 20
13 127
14 139
15 -100
16 170
17 5
18 -72
19 -96
I4VEC_UNIFORM_AB_TEST:
Normal end of execution.
PERM1_CHECK_TEST
Python version: 3.6.5
PERM1_CHECK checks a permutation of 1,...,N.
Permutation 1:
1 2 3 4 5
5 2 3 4 1
This is a permutation.
Permutation 2:
1 2 3 4 5
4 1 3 0 2
This is not a permutation.
Permutation 3:
1 2 3 4 5
0 2 1 3 2
This is not a permutation.
PERM1_CHECK_TEST:
Normal end of execution.
PERM1_ENUM_TEST
Python version: 3.6.5
PERM1_ENUM enumerates the permutations of 1,...,N.
N PERM1_ENUM
1 1
2 2
3 6
4 24
5 120
6 720
7 5040
8 40320
9 362880
10 3628800
PERM1_ENUM_TEST
Normal end of execution.
PERM1_INVERSE_TEST
Python version: 3.6.5
PERM1_INVERSE inverts a permutation of (1,...,N)
The original permutation:
1 2 3 4 5 6 7
4 3 5 1 7 6 2
The inverted permutation:
1 2 3 4 5 6 7
4 7 2 1 3 6 5
PERM1_INVERSE_TEST:
Normal end of execution.
PERM1_LEX_NEXT_TEST
Python version: 3.6.5
PERM1_LEX_NEXT generates 1-based permutations in lexicographic order.
0: 1 2 3 4
1: 1 2 4 3
2: 1 3 2 4
3: 1 3 4 2
4: 1 4 2 3
5: 1 4 3 2
6: 2 1 3 4
7: 2 1 4 3
8: 2 3 1 4
9: 2 3 4 1
10: 2 4 1 3
11: 2 4 3 1
12: 3 1 2 4
13: 3 1 4 2
14: 3 2 1 4
15: 3 2 4 1
16: 3 4 1 2
17: 3 4 2 1
18: 4 1 2 3
19: 4 1 3 2
20: 4 2 1 3
21: 4 2 3 1
22: 4 3 1 2
23: 4 3 2 1
PERM1_LEX_NEXT_TEST:
Normal end of execution.
PERM1_LEX_RANK_TEST
Python version: 3.6.5
PERM1_LEX_RANK returns the lexicographic rank of
a permutation of (1,...,N).
A 1-based permutation:
1 2 3 4
4 1 3 2
Rank = 19
PERM1_LEX_RANK_TEST
Normal end of execution.
PERM1_LEX_UNRANK_TEST
Python version: 3.6.5
PERM1_LEX_UNRANK returns the 1-based permutation
of given lexicographic rank.
Rank = 5
The corresponding permutation:
1 2 3 4
1 4 3 2
PERM1_LEX_UNRANK_TEST
Normal end of execution.
PERM1_PRINT_TEST
Python version: 3.6.5
PERM1_PRINT prints a permutation of (1,...,N).
A 1-based permutation:
1 2 3 4 5 6 7
7 2 4 1 5 3 6
PERM1_PRINT_TEST
Normal end of execution.
PERM1_RANDOM_TEST
Python version: 3.6.5
PERM1_RANDOM randomly selects a 1-based permutation.
3 10 9 7 4 6 8 5 1 2
7 2 6 3 9 5 1 10 4 8
1 2 9 3 5 6 8 10 4 7
4 9 5 8 1 10 3 6 7 2
2 8 6 5 1 7 9 3 4 10
PERM1_RANDOM_TEST
Normal end of execution.
PERM1_IS_UNICYCLE_TEST
Python version: 3.6.5
PERM1_IS_UNICYCLE determines whether a 1-based permutation
is a unicyle
This permutation is a unicycle
1 2 3 4 5
2 5 1 3 4
The permutation in sequence form
1 2 5 4 3
This permutation is NOT a unicycle
1 2 3 4 5
3 2 1 4 5
This permutation is NOT a unicycle
1 2 3 4 5
1 4 3 2 5
This permutation is NOT a unicycle
1 2 3 4 5
3 5 2 4 1
This permutation is NOT a unicycle
1 2 3 4 5
5 3 2 4 1
This permutation is NOT a unicycle
1 2 3 4 5
5 1 3 4 2
This permutation is NOT a unicycle
1 2 3 4 5
2 5 3 4 1
This permutation is a unicycle
1 2 3 4 5
5 3 1 2 4
The permutation in sequence form
1 5 4 2 3
This permutation is a unicycle
1 2 3 4 5
5 3 1 2 4
The permutation in sequence form
1 5 4 2 3
This permutation is NOT a unicycle
1 2 3 4 5
1 5 4 3 2
PERM1_IS_UNICYCLE_TEST
Normal end of execution.
UNICYCLE_CHECK_TEST
Python version: 3.6.5
UNICYCLE_CHECK checks a unicycle.
Candidate 1:
5 2 3 4 1
This is not a unicycle.
Candidate 2:
4 1 3 0 2
This is not a unicycle.
Candidate 3:
4 2 1 3 2
This is not a unicycle.
Candidate 4:
2 1 4 3 5
This is not a unicycle.
Candidate 5:
3 4 5 1 2
This is a unicycle!
UNICYCLE_CHECK_TEST:
Normal end of execution.
UNICYCLE_ENUM_TEST
Python version: 3.6.5
UNICYCLE_ENUM enumerates the unicycles of N objects.
N Number
0 1
1 1
2 1
3 2
4 6
5 24
6 120
7 720
8 5040
9 40320
10 362880
UNICYCLE_ENUM_TEST
Normal end of execution.
UNICYCLE_INDEX_TEST
Python version: 3.6.5
UNICYCLE_INDEX converts a unicycle to index form.
The unicycle:
1 3 6 2 4 5
The index form:
1 2 3 4 5 6
3 4 6 5 1 2
The unicycle recovered:
1 3 6 2 4 5
The unicycle:
1 2 4 3 5 6
The index form:
1 2 3 4 5 6
2 4 5 3 6 1
The unicycle recovered:
1 2 4 3 5 6
The unicycle:
1 2 4 5 6 3
The index form:
1 2 3 4 5 6
2 4 1 5 6 3
The unicycle recovered:
1 2 4 5 6 3
The unicycle:
1 2 6 5 4 3
The index form:
1 2 3 4 5 6
2 6 1 3 4 5
The unicycle recovered:
1 2 6 5 4 3
The unicycle:
1 6 2 4 5 3
The index form:
1 2 3 4 5 6
6 4 1 5 3 2
The unicycle recovered:
1 6 2 4 5 3
UNICYCLE_INDEX_TEST
UNICYCLE_INDEX converts a unicycle to index form.
UNICYCLE_INDEX_PRINT_TEST
Python version: 3.6.5
UNICYCLE_INDEX_PRINT prints a unicyle given in index form;
The unicycle in index form:
1 2 3 4 5 6 7
7 1 4 5 2 3 6
UNICYCLE_INDEX_PRINT_TEST
Normal end of execution.
UNICYCLE_INDEX_TO_SEQUENCE_TEST
Python version: 3.6.5
UNICYCLE_INDEX_TO_SEQUENCE converts an index to unicycle form.
The unicycle:
1 3 6 2 4 5
The index form:
1 2 3 4 5 6
3 4 6 5 1 2
The unicycle recovered:
1 3 6 2 4 5
The unicycle:
1 2 4 3 5 6
The index form:
1 2 3 4 5 6
2 4 5 3 6 1
The unicycle recovered:
1 2 4 3 5 6
The unicycle:
1 2 4 5 6 3
The index form:
1 2 3 4 5 6
2 4 1 5 6 3
The unicycle recovered:
1 2 4 5 6 3
The unicycle:
1 2 6 5 4 3
The index form:
1 2 3 4 5 6
2 6 1 3 4 5
The unicycle recovered:
1 2 6 5 4 3
The unicycle:
1 6 2 4 5 3
The index form:
1 2 3 4 5 6
6 4 1 5 3 2
The unicycle recovered:
1 6 2 4 5 3
UNICYCLE_INDEX_TO_SEQUENCE_TEST
Normal end of execution.
UNICYCLE_INVERSE_TEST
Python version: 3.6.5
UNICYCLE_INVERSE inverts a unicycle
The original unicycle:
1 7 6 2 4 3 5
The inverse unicycle:
1 5 3 4 2 6 7
UNICYCLE_INVERSE_TEST
Normal end of execution.
UNICYCLE_NEXT_TEST
Python version: 3.6.5
UNICYCLE_NEXT generates unicycles in lex order.
0: 1 2 3 4 5
1: 1 2 3 5 4
2: 1 2 4 3 5
3: 1 2 4 5 3
4: 1 2 5 3 4
5: 1 2 5 4 3
6: 1 3 2 4 5
7: 1 3 2 5 4
8: 1 3 4 2 5
9: 1 3 4 5 2
10: 1 3 5 2 4
11: 1 3 5 4 2
12: 1 4 2 3 5
13: 1 4 2 5 3
14: 1 4 3 2 5
15: 1 4 3 5 2
16: 1 4 5 2 3
17: 1 4 5 3 2
18: 1 5 2 3 4
19: 1 5 2 4 3
20: 1 5 3 2 4
21: 1 5 3 4 2
22: 1 5 4 2 3
23: 1 5 4 3 2
UNICYCLE_NEXT_TEST
Normal end of execution.
UNICYCLE_RANDOM_TEST
Python version: 3.6.5
UNICYCLE_RANDOM produces a random unicyle;
For this test, N = 5
1 2 5 3 4
1 3 2 4 5
1 2 4 3 5
1 3 5 2 4
1 5 4 3 2
UNICYCLE_RANDOM_TEST
Normal end of execution.
UNICYCLE_RANK_TEST
Python version: 3.6.5
UNICYCLE_RANK ranks a unicycle.
The unicycle:
1 5 2 3 4
The rank is: 18
UNICYCLE_RANK_TEST
Normal end of execution.
UNICYCLE_UNRANK_TEST
Python version: 3.6.5
UNICYCLE_UNRANK, given a rank, computes the
corresponding unicycle.
The requested rank is 6
The unicycle:
1 3 2 4 5
UNICYCLE_UNRANK_TEST
Normal end of execution.
UNICYCLE_TEST:
Normal end of execution.
Thu Sep 13 18:30:57 2018