cpp_wrapper_galeshapley_check_stability: C++ Wrapper to Check Stability of Two-sided Matching
In matchingR: Matching Algorithms in R and C++

This function checks if a given matching is stable for a particular set of preferences. This function provides an R wrapper for the C++ backend. Users should not call this function directly and instead use galeShapley.checkStability.

cpp_wrapper_galeshapley_check_stability(
  proposerUtils,
  reviewerUtils,
  proposals,
  engagements
)

`proposerUtils`	is a matrix with cardinal utilities of the proposing side of the market. If there are `n` proposers and `m` reviewers, then this matrix will be of dimension `m` by `n`. The `i,j`th element refers to the payoff that individual `j` receives from being matched to individual `i`.
`reviewerUtils`	is a matrix with cardinal utilities of the courted side of the market. If there are `n` proposers and `m` reviewers, then this matrix will be of dimension `n` by `m`. The `i,j`th element refers to the payoff that individual `j` receives from being matched to individual `i`.
`proposals`	is a matrix that contains the number of the reviewer that a given proposer is matched to: the first row contains the number of the reviewer that is matched with the first proposer (using C++ indexing), the second row contains the id of the reviewer that is matched with the second proposer, etc. The column dimension accommodates proposers with multiple slots.
`engagements`	is a matrix that contains the number of the proposer that a given reviewer is matched to (using C++ indexing). The column dimension accommodates reviewers with multiple slots.