If the figures are correct, “Fifty Shades of Grey,” by E. L. James, has been bought by more than a hundred million people, of whom only twenty million were under the impression that it was a paint catalogue. That leaves a solid eighty million or so who, upon reading sentences such as “He strokes his chin thoughtfully with his long, skilled fingers,” had to lie down for a while and let the creamy waves of ecstasy subside. Now, after an enticing buildup, which took to extreme lengths the art of the peekaboo, the film of the book is here.

Nothing has exercised the novel’s devotees—the Jamesians, as we must think of them—quite as much as the proper occupants of the central roles. Who could conceivably play Christian Grey, the awkward young billionaire with the extensive neckwear collection, let alone Anastasia Steele, the English-lit major who is also, as we gasp to learn, one of the leading virgins of Vancouver, Washington? Many combinations were suggested, my own preference being Nick Nolte and Barbra Streisand, who made such a lovely couple in “The Prince of Tides,” but in the end the lucky winners were Jamie Dornan and Dakota Johnson. Good choices, I reckon, especially Johnson, who, as the granddaughter of Tippi Hedren, knows everything about predators who stare and swoop.

Ana, as she is usually called, first meets Christian Grey at Grey House, which is home to Grey Enterprises, in Seattle. (Don’t you adore rich men who hide themselves away?) She is there in lieu of her roommate, who was meant to interview Grey for the college newspaper but has fallen sick. Ana, ushered into his presence, stumbles first over the threshold and then over her words, but begins to melt as he expounds on his bountiful gifts. “I’ve always been good at people,” he says, as though people were Scrabble or squash. He is interested in “what motivates them—what incentivizes them.” Any woman should run a mile from a man who uses the verb “incentivize,” but things could have been worse, I guess. He could have said “monetize.” He also lends her a pencil, bearing the word “Grey,” the tip of which she rubs against her lip. Either she has a cold sore or these folks are getting ready to rumble.

Their next encounter comes at a hardware store, where Christian is stocking up on masking tape, cable ties, and rope. “You’re the complete serial killer,” Ana says. Now, there’s a thought. We know Ana reads Jane Austen, and here, for a second, she sounds like the heroine of “Northanger Abbey,” who is mocked for always assuming the worst, or, at any rate, the most gothically arousing. Also, Dornan is no stranger to wickedness; in “The Fall,” a BBC drama that shows on Netflix, he is a serial killer, armed with a rasping beard, his native Belfast accent, and roughly ten times the sexual allure that he projects in “Fifty Shades.” Could Ana’s fears be well founded? Is Christian a terminator? No. He is many things—a pianist, a pilot, a pervert, and a tremendous bore—but evil is not in his wardrobe. Ana asks casually if he is a “do-it-yourselfer.” That would explain a lot.

Christian, it transpires, has a private passion, the cause of what James calls “his odd I’ve-got-a-whopping-big-secret smile.” Down a corridor of his apartment, behind a locked door, lurks his Red Room. Lavishly stuffed with the tools of domestic torture, it is supposed to radiate a breathless lust, although the result looks more like a spread from House Beautiful. Here, within these crimson walls, our hero is free to express himself as a “dominant,” meaning not that he is the fifth tone of the diatonic scale, which really would be hot, but, rather, that he constrains and chastises women who wish to be treated thus. At least, that’s what he tells himself. Mostly, he sounds like your basic stalker: “I’m incapable of leaving you alone,” he informs Ana—a notion that appears to stimulate her, although it would easily warrant a call to 911. She succumbs, up to a point, but her recurring doubts lead Christian to dish up one of those crusty old no-means-yes propositions which feminism has battled for decades: “You want to leave? Your body tells me something different.” Pass the butt plug.

So how does the movie, directed by Sam Taylor-Johnson, stack up against the book? And what’s in it for non-Jamesians? Well, we lose Ana’s introduction to fellatio, set precariously in a bathtub; in a similar vein, we skip the breakfast that she shares with Christian at an International House of Pancakes. Above all, we are denied James’s personifications, which are so much livelier than her characters: “My sleepy subconscious has a final swipe at me.” “yes! My inner goddess is thrilled.” “no! my psyche screams.” Couldn’t someone have got Sarah Silverman to play the psyche?

On the other hand, the film, by dint of its simple competence—being largely well acted, not too long, and sombrely photographed, by Seamus McGarvey—has to be better than the novel. It could hardly be worse. No new reader, however charitable, could open “Fifty Shades of Grey,” browse a few paragraphs, and reasonably conclude that the author was writing in her first language, or even her fourth. There are poignant moments when the plainest of physical actions is left dangling beyond the reach of her prose: “I slice another piece of venison, holding it against my mouth.” The global appeal of the novel has led some fans to hallow it as a classic, but, with all due respect, it is not to be confused with “Madame Bovary.” Rather, “Fifty Shades of Grey” is the kind of book that Madame Bovary would read. Yet we should not begrudge E. L. James her triumph, for she has, in her lumbering fashion, tapped into a truth that often eludes more elegant writers—that eternal disappointment, deep in the human heart, at the failure of our loved ones to acquire their own helipad.

Much of the novel’s fixation with style, or with the barrage of stuff that a sense of style can buy, is carried onto the screen. Where the money shots should be, we get shots of what money can provide. The subtle silk ties that adorned the paperback covers, and which somehow made it O.K., by a dazzling sleight of the publisher’s hand, to read soft pornography in public, are arrayed in the opening scene. Ana can barely move for Audis. Christian wows her with rides, first in his thunderous chopper and then in his smooth white glider, presumably praying that she won’t have seen Pierce Brosnan do the same in “The Thomas Crown Affair.” The only viewer, in fact, who may feel shortchanged by “Fifty Shades of Grey” is Liam Helmer, who is listed in the credits as “BDSM Technical Consultant.” Check out the Red Room: rack upon rack of cutting-edge bullwhips, a variety of high-end ass paddles, and more restraining cuffs than you can shake a stick at. And how much of this kit gets used? A mere fraction, and even then Christian, supposedly the maestro of pain, can do little more than brush his cat-o’-nine-tails over Ana’s flesh with a feathery backhand. He looks like Roger Federer, practicing gentle cross-court lobs at the net.