Add members and methods denoting comm ownership for Matrix and Vector methods

まず CAROM::Vector と CAROM::Matrix のクラス定義およびそれらのコンストラクターを探し、次に既存の communicator または分散インデックス用ユーティリティを調べてください。要求された communicator メンバー、アクセサー、およびフリー関数を追加し、指定された行範囲、次元、プロセス所有権の事後条件を満たすことで完了を示してください。

Specifically, add the following to each class T, where T is a CAROM::Vector or CAROM::Matrix, a CAROM::Vector is treated as a single column matrix, and none of the functions below should be templated:

• a private MPI_Comm d_comm member
• initialize that member in the constructor of each object
• include a MPI_Comm getComm() const getter method
• a free function of the form std::vector<int> GetDimensionOnEachProcess(T &input), that returns the number of rows of the object on each process
• a free function of the form std::vector<int> GetRowSpanOnEachProcess(T &input), where T is a CAROM::Matrix or CAROM::Vector that returns the range of row indices of the object on each process. Let std::vector<int> result be the value returned by this function. The following postconditions should be satisfied: (1) result.size() should be one plus the number of processes on d_comm, and (2) if a disjoint contiguous index span of input resides on each process such that index 0 is owned by process 0, and the lowest index owned by each process is an increasing sequence when ordered by increasing process number, then process p contains rows result[p] through result[p + 1] - 1
• a free function of the form int GetProcessContainingRow(T &input, int row) such that if int result is returned by this function, then row row is on process number result

These utility functions come up frequently in implementing linear algebraic operations. I suspect that if data objects are associated with communicators, the operations like matrix decompositions will not need to have communicators associated with them.