OOPS

A software engineer is required to implement two sets of algorithms for a single set of matrix operations in an object oriented programming language; the two sets of algo­rithms are to provide precisions of 10^-3 and 10^-6, respectively. She decides to implement two classes, Low Precision Matrix and High Precision Matrix, providing precisions 10^-3 and 10^-6 respectively. Which one of the following is the best alternative for the imple­mentation?

(S1) The two classes should be kept independent.
(S2) Low Precision Matrix should be derived from High Precision Matrix.
(S3) High Precision Matrix should be derived from Low Precision Matrix.
(S4) One class should be derived from the other; the hierarchy is immaterial.