“Gran Turismo” is a race-car movie that gives the audience a contact high. That’s what you tend to want from an action drama about gleaming supercars zooming around labyrinthine tracks at 300 kilometers per hour. But there’s an innocence to this one, and a surprise authenticity. It’s like a “Fast and Furious” movie made without cynicism, and it gets to you.

The film is based on a true story, which it sticks impressively close to. The central character, Jann Mardenborough (Archie Madekwe), is a biracial kid from Cardiff who sits in his room playing Gran Turismo: a state-of-the-art training simulator that’s been marketed as a video game. At home, Jann can take any curve at maximum speed, passing competitors as if he were slicing through space. He’s a vicarious virtuoso. But he dreams of racing real cars, and one day, out of nowhere, the opportunity presents itself.