Problem 42790. Full combinations
Given n input vectors x1, x2, …, xn, generate a p*n matrix y whose rows contain all element-wise combinations of the vectors x1, x2, …, xn, where p = numel(x1)*numel(x2)*…* numel(xn). The rows of y are organized in an "increasing" ordering; see examples below.
- Example 1 (character array, n = 2): Input: x1 = 'ab'; x2 = 'cde'; Output:
y = ['ac' 'ad' 'ae' 'bc' 'bd' 'be']
- Example 2 (numeric array, n = 3): Input: x1 = [0 1], x2 = [0 1]; x3 = [0 1]; Output:
y = [0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1]
You may assume that all inputs are valid vectors whose lengths are at least 1.
Note: The Statistics and Machine Learning toolbox provides two useful functions for full factorial design, namely ff2n (for binary case) and fullfact (for general cases). However, they do not directly accomplish the task in Example 1. The purpose of this problem is to create a toolbox independent function to achieve our goal. Have fun!
Solution Stats
Problem Comments
-
2 Comments
It would be better if the test suite did not rely on a particular ordering of the rows. You could use isempty(setxor(myfullfact(...), y_correct, 'rows')) instead of isequal(...)
Thanks for your suggestion. But I prefer an "increasing" ordering of the rows because that could be more useful in some applications. I have made it clear in the problem description that ordering is required.
Solution Comments
Show commentsProblem Recent Solvers27
Suggested Problems
-
17881 Solvers
-
Solve the set of simultaneous linear equations
409 Solvers
-
349 Solvers
-
Construct an index vector from two input vectors in vectorized fashion
380 Solvers
-
178 Solvers
More from this Author29
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!