Of course Sharia law is used, but only as a part of national law in most nations that use it at all..

https://www.france24.com/en/20190403-facts-about-sharia-law-around-world

- What is sharia law? --

Sharia is a religious law forming part of the Islamic faith derived from the Koran and the hadiths -- the words or actions of the prophet Mohammed.

The manner of its application in modern times has been a subject of dispute between conservative and liberal Muslims, and it remains a contested topic around the world.

Some aspects have been widely accepted -- such as how it applies to banking -- with even Western companies introducing Islamic finance products to attract Muslim customers.

Hudud, which means "boundaries" in Arabic, is the punishment meted out for sins such as adultery, rape, homosexuality, theft and murder.

Extreme punishments are rarely carried out as many offences must be proved by a confession or by having been witnessed by several adult Muslim males.

Countries which follow extreme sharia law include:

-- Saudi Arabia --

Sharia is the basis for all Saudi law and until fairly recently extreme hudud punishments carried out in public were common.

Homosexual acts are not only illegal but punishable by execution -- although the usual penalty has been limited to flogging and imprisonment.

Beheadings and amputations by sword were usually carried out on Fridays, before midday prayers. In extreme cases, such as the rape of a child, the condemned man is sometimes ordered crucified after execution.

The law also allows for literal eye-for-an-eye punishment, known as "qisas", in cases of personal injury.

The family of a murder victim can pardon a condemned person -- often in exchange for blood money.