World number one Rafa Nadal produced a performance of resilience and resolve as he edged past Argentine Juan Martin del Potro 7-5 6-7 (7) 4-6 6-4 6-4 in four hours and 48 minutes.
The No 2 seed had looked set for a comfortable afternoon when he won the first two sets, the second on a tie-break.
That initial burst gave Federer 34 successive sets won at Wimbledon, equaling his own record set between 2005 and 2006.
Djokovic looked in impressive form, particularly as he closed out the final set.
If Anderson is to shock Federer, who has only lost once before the quarter-finals at Wimbledon in 15 years, he will need to call up the heavy artillery which has served him well at the tournament this year.
Anderson, a 32-year-old South African who played college tennis at IL, served it out, ending things with a 128 miles per hour service victor before raising both arms. Early on he was bothered by the glare off the sun, adjusting his serve and then sporting a cap.
Novak Djokovic ensured he will have a Wimbledon rest day on Tuesday after beating Karen Khachanov and the fading light to reach the quarter-finals.
This was only the third time in Federer's 20 years of contesting Grand Slam matches that he lost after taking the opening two sets; both of the other defeats came in 2011. I didn't harm the grass.
Nishikori still would not fade and he forced Djokovic to go long for an early break in the fourth, but that advantage was swiftly canceled out following another fine rally. "I didn't see it coming", said Federer. "But hopefully I have two more matches to play".
The 31-year-old, who cut short his season last year to treat a troublesome elbow (right), however, went under the knife after falling in the fourth-round of the Australian Open in January.
Addressing the issue in the post-match press conference, the 12-time Grand Slam champion said: "To be honest, I thought it was unnecessary to get a warning". I am very grateful to play on the court I love and to be competing at a high level.
"You think I ruined the court for just throwing my racket (down)?"
And when the world No. 28 could not then beat the net, Djokovic seized the initiative and pressed on for a four-set win. "He's got weapons, a big first serve and a big forehand, but I managed to get serves back and make him play another shot", he added. I don't know how you would break him and that's why it's exciting he is back in the mix.
"Double standards, my friend". But the 12th seed was not to be denied as he raced into the last four, hitting an impressive 40 winners on the way.
It will be Djokovic's 41st appearance in a Grand Slam quarter-final and he will start favourite against Nishikori who will be in his first last-eight at the All England Club.
For May, it comes at a time when she is already politically weakened following a string of resignations from her Cabinet. He said the EU was " as bad " as China when it came to the way European countries traded with the US.
Twitter said on Thursday its removal of locked accounts from follower counts will not impact its daily or monthly user count. They had been locked out of the platform and not sought to reactivate their accounts after at least 30 days of notification.
Mr Trump pumps his fist during his arrival in Regent's Park, London, to spend the night at the residence of the US Ambassador. Meanwhile, the Wall Street Journal reported Trump as saying "I'll do my own thing" if spending is not immediately increased.
Forbes also says Jenner is the 27th-richest self-made woman in the United States, beating out the rest of her family. But many people on Twitter took issue with the magazine's claim that she was "self-made".
Such is the German's intensity and focus, she might not even notice any celebrity faces gathered around this rectangle of grass. And it seems she was in such a hurry to get her outfit ready, she forgot to remove the plastic casing from her new bag.
Captain Harry Kane is leading England's charge with six goals so far, putting him top in the race for the Golden Boot. As in 2016, the dynamic within the team is very good, but the team is more mature.
The list names more than 6,000 items including food products, minerals and consumer goods such as handbags. On Wednesday, China's main stock index lost 1.8 percent and Japan's market benchmark fell 1.1 percent.
His wife, Tamika Hargrave, 41, and the unnamed mechanic, 56, died from apparent carbon monoxide poisoning, according to NBC 4. When he went to investigate the source of the odor, he found both Hargrave and the man near the running vehicle.
On Tuesday, the Forest Preserves of Cook County posted to Facebook that the man was charged with assault and disorderly conduct. She tells Connor she feels "highly uncomfortable", but in the video, he appears to turn and walk in the other direction.
In terms of rumoured specifications, the device will feature a 6.4-inch Super AMOLED display with an aspect ratio of 18.5:9. Samsung's typically releases its new Galaxy S lineup in late February at the annual Mobile World Congress (MWC) trade show.
Chelsea part ways with manager Antonio Conte
He also clashed with senior players such as Diego Costa and David Luiz while others had begun to grow tired of his methods. They claim that the deal is now complete, with Gianfranco Zola set to be appointed his assistant.
Excited Lahiri gives thumbs-up to new PGA Tour schedule
PGA confirmed the place and time of the new Detroit tournament on Tuesday morning with the release of their 2018-2019 schedule. The BMW Championship will be held at Chicago's Medinah No. 3 in 2019 followed by the Tour Championship at East Lake in Atlanta.
Bend is home to last Blockbuster in US
The past few years, however, have seen most - and now all - of the remaining Alaska Blockbusters issue their last late fee. The Wasilla, North Pole and Soldotna locations closed earlier this year, along with a second Anchorage store.
Royals join RAF celebrations at Westminster Abbey
According to Harper's Bazaar , Kate wore a white dress with puff sleeves and a midi-length hemline. Ms Seward told People.com: "She has blossomed and looked more confident, beaming with happiness".
Pence: 'I do' still want Roe v. Wade overturned
Because while there's nothing on the books that could restrict abortion in Colorado, there's nothing protecting it, either. I'm post-abortive myself and I can tell you, there is nothing about abortion that resembles health care.