collatz_test

collatz_test, a MATLAB code which calls collatz(), which computes the Collatz sequence.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and Programs:

collatz, a MATLAB code which computes and analyzes the Collatz sequence (or hailstone sequence or 3n+1 sequence);

Source Code:

• collatz_test.m, calls all the tests.
• collatz_test.sh, runs all the tests.
• collatz_test.txt, the output file.

• collatz_inverse_test.m, computes the inverse image of a set of points under the Collatz transformation.
• collatz_level_test.m, computes the level sets of the Collatz transformation.
• collatz_test01.m, computes the Collatz sequence for several seeds.
• collatz_test02.m, computes the length of the Collatz sequence for seeds 1 to 100.
• collatz_test03.m, writes the Collatz sequence for seed 27 to a file, and the Collatz sequence lengths for seeds 1 to 100 to a file.
• collatz_test04.m, displays the Collatz sequence for seed 27.
• collatz_test05.m, displays the Collatz max for seeds 1 to 1000.
• collatz_test06.m, displays the Collatz count for seeds 1 to 50.
• collatz_test07.m, displays the maximum Collatz count for sequences up to n.
• lollatz_inverse_test.m, applies the inverse Lollatz permutation to a set of values.
• lollatz_permutation_test.m, applies the Lollatz permutation to a set of values.
• lollatz_sequence_test.m, computes a Lollatz sequence.
• mollatz_test.m, computes the Mollatz 3N-1 sequence for several seeds.
• nollatz_test.m, computes the Nollatz N+1 sequence for several seeds.

• collatz_27.txt, the points in the Collatz sequence for seed 27.
• collatz_count.txt, the Collatz count for seeds 1 to 100.
• collatz_max.txt, the Collatz maximum for seeds 1 to 100.

• collatz_count.png, a plot of the Collatz count values for seeds 1 to 50.
• collatz_count_max.png, a plot of the maximum Collatz count observed up to n, versus 30 * log ( n ).
• collatz_max.png, a plot of the Collatz max values for seeds 1 to 1000.
• collatz_sequence_27.png, a plot of the Collatz sequence for seed 27.