All four answer options here refer to directors of films characterised as "American film noir" and that have rather similar titles:

Howard Hawks directed "The Big Sleep" (1946);

Raoul Walsh directed "White Heat" (1949);

Jim McBride directed "The Big Easy" (1986);

Fritz Lang directed "The Big Heat" (1953).

Friedrich Christian Anton "Fritz" Lang (5 December 1890 – 2 August 1976) was born in Vienna, the second son of Anton Lang (1860–1940), an architect and construction company manager, and Pauline Lang (née Schlesinger; 1864–1920). He served in the Austrian army during World War I and was severely wounded, losing an eye. After the war he worked as a director at the German film studios UFA and Nero-Film. During the pre-Nazi era he directed several highly acclaimed films such as “Metropolis” and “M”. His later work, “The Testament of Dr Mabuse,” was banned by the Nazis, although he was offered an official post by Goebbels. Lang turned this down and left Berlin for good on 31 July 1933; he moved to Paris and then to the United States. Lang made twenty-three features in his 20-year American career, working in several genres at every major studio in Hollywood, and occasionally producing his films as an independent. He became a naturalised US citizen in 1939.

Lang’s “The Big Heat,” starring Glenn Ford, is about a police officer who takes on the crime syndicate that controls his city. The screenplay was based on William P. McGivern's serial in “The Saturday Evening Post.”

More Info: en.wikipedia.org