Question: Who wrote the film that a 1982 American erotic horror film directed by Paul Schrader was loosely based on and was  a 1942 horror film produced by Val Lewton?

full_context: Document 1: Val Lewton: Val Lewton (May 7, 1904 – March 14, 1951) was a Russian-American novelist, film producer and screenwriter best known for a string of low-budget horror films he produced for RKO Pictures in the 1940s. His son, also named Val Lewton, was a painter and exhibition designer.
Document 2: Val Lewton: The Man in the Shadows: Val Lewton: The Man in the Shadows (also known as Martin Scorsese Presents: Val Lewton – The Man in the Shadows) is a documentary tribute to Val Lewton, the producer of a series of distinctive low-budget horror films for RKO Radio Pictures, presented and narrated by director Martin Scorsese.
Document 3: Near Dark: Near Dark is a 1987 American western horror film directed by Kathryn Bigelow and written by her and Eric Red. The story follows a young man in a small midwestern town who becomes involved with a family of nomadic American vampires. Starring the little-known actors Adrian Pasdar and Jenny Wright, the film was part of a revival of serious vampire movies in the late 1980s. Despite performing poorly at the box office, critic reviews were very positive. Over the years, the film has gained a cult following.
Document 4: The Curse of the Cat People: The Curse of the Cat People is a 1944 film directed by Gunther von Fritsch and Robert Wise, and produced by Val Lewton. This film, which was then-film editor Robert Wise's first directing credit, is the sequel to "Cat People" (1942) and has many of the same characters. However, the movie has a completely different story, and no visible cat people, only the ghost of a character established as a cat-person in the previous film. The screenplay was again written by DeWitt Bodeen.
Document 5: The Most Dangerous Game (film): The Most Dangerous Game is a 1932 pre-Code adaptation of the 1924 short story of the same name by Richard Connell, the first film version of that story. The plot concerns a big game hunter on an island who hunts humans for sport. The film stars Joel McCrea, Leslie Banks, and "King Kong" leads Fay Wray and Robert Armstrong, and was made by a team including Ernest B. Schoedsack and Merian C. Cooper, the co-directors of "King Kong" (1933). The film was shot at night on the "King Kong" jungle sets.
Document 6: 9½ Weeks: 9½ Weeks (originally titled Nine ½ Weeks) is a 1986 American erotic romantic drama film directed by Adrian Lyne with a screenplay by Sarah Kernochan, Zalman King, and Patricia Louisanna Knop. The film is based on the 1978 memoir of the same name by Austrian-American author Ingeborg Day. It stars Kim Basinger as Elizabeth McGraw and Mickey Rourke as John Gray. McGraw is a New York City art gallery employee who has a brief yet intense affair with a mysterious Wall Street broker. The film was completed in 1984, but not released until February 1986.
Document 7: Eye of the Cat: Eye of the Cat is a 1969 American horror film directed by David Lowell Rich and starring Michael Sarrazin, Gayle Hunnicutt and Eleanor Parker. The screenplay is by Joseph Stefano, best known as the author of the script for Alfred Hitchcock's "Psycho".
Document 8: Cat People (1982 film): Cat People is a 1982 American erotic horror film directed by Paul Schrader. It stars Nastassja Kinski and Malcolm McDowell; John Heard, Annette O'Toole, Ruby Dee, Ed Begley, Jr., Scott Paulin, and Frankie Faison play supporting roles. Jerry Bruckheimer served as executive producer. Alan Ormsby wrote the screenplay, basing it loosely on the story by DeWitt Bodeen, the screenwriter for the original "Cat People" (1942). Giorgio Moroder composed the film's score, including the theme song, which features lyrics and vocals by David Bowie.
Document 9: Cat People (1942 film): Cat People is a 1942 horror film produced by Val Lewton and directed by Jacques Tourneur. DeWitt Bodeen wrote the original screenplay, which was based on Val Lewton's short story "The Bagheeta", published in 1930. The film stars Simone Simon, Kent Smith, Jane Randolph and Tom Conway.
Document 10: The Rocky Horror Picture Show: The Rocky Horror Picture Show is a 1975 British-American musical screwball comedy horror film by 20th Century Fox produced by Lou Adler and Michael White and directed by Jim Sharman. The screenplay was written by Sharman and actor Richard O'Brien, who appears in the film, which is based on the 1973 musical stage production "of the same title", with music, book, and lyrics by O'Brien. The production is a parody tribute to the science fiction and horror B movies of the 1930s through to the early 1970s. Along with O'Brien, the film stars Tim Curry, Susan Sarandon, and Barry Bostwick and is narrated by Charles Gray with cast members from the original Royal Court Theatre, Roxy Theatre, and Belasco Theatre productions.
Document 11: Foxes (film): Foxes is a 1980 American teen drama film directed by Adrian Lyne (in his feature film directorial debut) and written by Gerald Ayres. The film stars Jodie Foster, Scott Baio, Sally Kellerman, Randy Quaid and Cherie Currie (in her film debut). The original music score is composed by Giorgio Moroder, and features the song "On the Radio", sung by Donna Summer. It revolves around a group of girls coming-of-age in suburban Los Angeles toward the end of the disco era.
Document 12: Jacques Tourneur: Jacques Tourneur (] ; November 12, 1904 – December 19, 1977) was a French film director known for the classic film noir "Out of the Past" and a series of low-budget horror films he made for RKO Studios, including "Cat People", "I Walked with a Zombie" and "The Leopard Man". He is also known for directing "Night of the Demon", that was released by Columbia Pictures.
Document 13: Paul Schrader: Paul Joseph Schrader (born July 22, 1946) is an American screenwriter, film director, and film critic. Schrader wrote or co-wrote screenplays for four Martin Scorsese films: "Taxi Driver" (1976), "Raging Bull" (1980), "The Last Temptation of Christ" (1988), and "Bringing Out the Dead" (1999). Schrader has also directed 18 feature films, including his directing debut crime drama, "Blue Collar" (co-written with his brother, Leonard Schrader), the crime drama "Hardcore" (a loosely autobiographical film also written by Schrader), his 1982 remake of the horror classic "Cat People", the crime drama "American Gigolo" (1980), the biographical drama "" (1985), the cult film "Light Sleeper" (1992), the drama "Affliction" (1997), the biographical film "Auto Focus" (2002), and the erotic dramatic thriller "The Canyons" (2013).
Document 14: The Leopard Man: The Leopard Man is a 1943 horror film directed by Jacques Tourneur based on the book "Black Alibi" by Cornell Woolrich. It is one of the first American films to attempt an even remotely realistic portrayal of a serial killer (although that term was yet to be used).
Document 15: Basic Instinct: Basic Instinct is a 1992 neo-noir erotic thriller film directed by Paul Verhoeven and written by Joe Eszterhas, and starring Michael Douglas and Sharon Stone. The film follows a police detective, Nick Curran (Douglas), who is investigating the brutal murder of a wealthy rock star. During the investigation Curran becomes involved in a torrid and intense relationship with the prime suspect, Catherine Tramell (Stone), an enigmatic writer.
ground_truth: DeWitt Bodeen