Alan Bergman, the award-winning songwriter who helped craft Barbra Streisand’s “The Way We Were” and Michel Legrand’s “The Windmills of Your Mind,” had died at the age of 99.

Alan Bergman wrote a song with his future wife on the day they first met.

The Bergmans won three Academy Awards: for “Windmills” in 1968, with French composer Legrand, from “The Thomas Crown Affair”; for the title song of “The Way We Were” in 1973, with Hamlisch; and the s...