(a) Mandamus shall not lie as a private remedy between individuals to enforce private rights nor to a public officer who has an absolute discretion to act or not to act unless there is a gross abuse of such discretion. However, mandamus shall not be confined to the enforcement of mere ministerial duties.

(b) On the application of one or more citizens of any county against the county board of commissioners where by law supervision and jurisdiction is vested in such commissioners over the public roads of such counties and the overseers of the public roads complained of; or against the judge of the probate court where by law supervision, control, and jurisdiction over such public roads is vested in the judge and the overseers of the public roads that may be complained of; or against either, both, or all of the named parties, as the facts and methods of working the public roads in the respective counties may justify, which application or action for mandamus shall show that one or more of the public roads of the county of the plaintiff's residence are out of repair; do not measure up to the standards and do not conform to the legal requirements as prescribed by law; and are in such condition that ordinary loads, with ordinary ease, cannot be hauled over such public roads, the judges of the superior courts are authorized and given jurisdiction and it is made their duty, upon such showing being made, to issue the writ of mandamus against the parties having charge of and supervision over the public roads of the county; and to compel by such proceedings the building, repairing, and working of the public roads as are complained of, up to the standard required by law, so that ordinary loads, with ordinary ease and facility, can be continuously hauled over such public roads. The judges of the superior courts shall, by proper order, in the same proceedings compel the work done necessary to build, repair, and maintain such public roads up to the standard so prescribed.