Wimbledon 2014: Novak Djokovic and Roger Federer into semis

Seven-time champion Roger Federer and top seed Novak Djokovic both had to fight back to claim their place in the Wimbledon semi-finals.

Federer, 32, lost the opening set of his quarter-final to fellow Swiss Stan Wawrinka before coming through 3-6 7-6 (7-5) 6-4 6-4 on Centre Court.

Djokovic, 27, was two sets to one down to Croatia's Marin Cilic, but recovered to win 6-1 3-6 6-7 (4-7) 6-2 6-2.

The Serb will meet Grigor Dimitrov, who beat defending champion Andy Murray.

On the other side of the draw, eighth seed Milos Raonic stands between 17-time Grand Slam winner Federer and his ninth Wimbledon final after the Canadian overcame Nick Kyrgios 6-7 (4-7) 6-2 6-4 7-6 (7-4).

Australian Kyrgios, ranked 144th in the world and only in the main draw as a wildcard, had defeated world number one Rafael Nadal and 13th seed Richard Gasquet on his way to the last eight.

But Raonic ended his dream run to become the first Canadian man to reach the Wimbledon semi-finals in 106 years.

Djokovic and Cilic's match on Court One was soundtracked by the noise of fans outside reacting to the end of Murray's title defence. And it seemed, at one point, that another upset might be in the offing.

After losing the first set in 27 minutes, and with a record of defeats in each of his nine previous meetings with Djokovic, Cilic recovered to take the second courtesy of an early break.

With Djokovic's backhand and footing letting him down on a drying court, and Cilic's first serve landing more often, the 25-year-old also edged the third on a tie-break.

But a change of trainers gave Djokovic more confidence in his movement and the 2011 champion seized control back, breaking at the first two opportunities in the fourth before taking the fifth in similarly emphatic style.

"I've been there and I've played five-setters in my life," said Djokovic. "I was down and coming back. So I know what I needed to do.

"I thought that he got a little bit tired physically. He wasn't moving as well anymore. So I tried to get him from one corner to another, mix up the pace. I've done pretty well in the last two sets."

Federer also found himself down against Wawrinka, but showed glimpses of his best as he swept to victory.

Wawrinka, seeded one place below his compatriot at five, struggled to resist Federer's comeback as he struggled with an apparent stomach upset.

"I was feeling not great, but nothing that I want or need to talk about," Wawrinka revealed after the match.

"It's tough [playing against a friend]," admitted Federer. "Stan played great especially in the first two sets, until he started to really struggle with his fitness.

"He was hitting it so well so I had to wait for my chance. We know each other's game so well and I wish him all the best for the rest of the season, because he has been great so far this year."

Raonic was celebrating reaching his first Grand Slam after a year in which he has reached the last eight at the French Open.

"It hasn't really sunk in yet, but it's great to have that kind of a win, especially at a tournament I have always wanted to do well at but previously couldn't," he told BBC Sport.

"It's another step forward for me when the goal is to be the best player in the world and this is one of those steps towards getting better.

"I am just so pleased to be able to do it on a big stage like this one."

And the 23-year-old is relishing the chance to take on the seven-time champion in the last four.

"I got to do what I have been doing and serve well," he added. "It will be a great challenge and one I will relish. I have to give it my all and compete hard and who knows what will happen."

Kyrgios, who will break into the world's top 60 for the first time after his run to the quarter-final, said he would work to ensure he had the game to compete at the top in future years.

"I'm not going to put so much pressure on myself, I'm just going to do the work, do everything right," he said.

"I think I'm capable of coming back to do something like win here. If my game continues to develop, I think I do have a shot."

Djokovic lost his footing on several occasions before changing his footwear at two sets to one down

Wawrinka is ranked above Federer at three in the world standings

Djokovic's coach - and three-time champion - Boris Becker was in place to take in the action on Court One

Raonic served 39 aces against Australian teenager Kyrgios

Federer has won seven of his eight Wimbledon finals