Problem 1089. Create a random vector of integers with given sum

Your task today is to write a function that returns a vector of integer numbers, between, and including, 1 and m, of which the sum is equal to s. Therefore, the length of the vector is determined by m and s.

For example, to create a sequence of characters 'A'-'Z', with 'character-sum' (A=1, B=2, Z=26) of 25420, use

char(random_sequence(26,25420)+'A'-1)

This task is related to problem 1090

The "Test Suite" will check the sum, the mean, and the distribution.

Note: Solutions wrapped in eval(c), inline, str2func, regexprep (dynamic regular expressions), etc, are not appreciated.