Making the callers responsible for this isn't practical as matrices are often passed indirectly to a functions such as mat3_to_axis_angle, BKE_object_mat3_to_rot & BKE_pchan_mat3_to_rot. Or the matrix is combined from other matrices which could be negative. Given quaternions calculated from negative matrices are completely invalid and checking only needs to negate matrices with a negative determinant, move the check into mat3_to_quat and related functions. Add mat3_normalized_to_quat_fast for cases no error checking on the input matrix is needed such as blending rotations.