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The comparisons among QGIS were conducted on coordinates using a fixed epsilon: specifically, 1e-8 for QgsPoint and the default value for qgsDoubleNear: 4 * DBL_EPSILON. Initially, I've standardized its use to 1e-8 universally; it's already significantly adequate for our Cartesian cases (1e-3 should suffice for many), potentially fitting just right for geographical contexts. Furthermore, in response to precision concerns, we're using the fuzzyEqual and fuzzyDistanceEqual methods. These methods enable users/developers to compare geometries more easily and with a given precision. The API remains intact as operator==/equals() have been shifted into fuzzyEqual (with an epsilon of 1e-8). To consolidate the code between fuzzyEqual and fuzzyDistanceEqual, helper functions, fuzzyHelpers, have been introduced following the logic of the respective segments to be executed.