Federer was first on Centre Court on Monday for what is known as Wimbledon's "Manic Monday", in which all 32 remaining singles players vie for a place in the quarterfinals.
By contrast, eight-time champion Federer, and Nadal, the title victor on two occasions, have played exclusively on the 15,000-seater Centre Court.
They clapped and yelled when Federer's drop volley capped a 16-minute tour de force of a first set in which he won 21 of the first 23 points.
His opponent on Wednesday is eighth-seeded Kevin Anderson, the first South African since Wayne Ferreira in 1994 to get to the last eight.
"It was important for me to stay focused". Djokovic was kept waiting in the wings till after 7pm local time before he could start swinging his racket against the Russian but there was no stopping the Serb once he got on court.
Del Potro was leading Simon two sets to one - 7-6 (7-1) 7-6 (7-5) 5-7 - when their fourth-round match was suspended under fading light. Like past year, I received the information that they can't reschedule my match on the other court because of the tickets that are presold.
This old note Meghan Markle wrote to fellow classmate is adorable
Prior to marrying Prince Harry and becoming a fully-fledged member of the royal family, Meghan Markle was known for her messy bun. Also in attendance was Queen Elizabeth , who notably missed Prince Louis's christening on Monday.
Camila Giorgi, who has beaten eight top 10 players during her career, is into her first Slam quarter-final, while Dominika Cibulkova reached the Australian Open final in 2014. Asked if he had expected to be switched to Centre, where matches can go on till 11pm under floodlights, the three-times Wimbledon champion said: "Of course, it's always an option". I want to give myself the best chance of winning the tournament.
Nadal, who plays at a slower, more deliberate pace, had no trouble with 93rd-ranked Jiri Vesely either, dismissing him, 6-3, 6-3, 6-4, in less than two hours.
As it stands, the 17-time Grand Slam champion is now on 8,950 points while Federer, who has to win a ninth Wimbledon title to retain the full 2,000 points, is now on 8,720.
It's been seven years since Nadal last featured in a final at Wimbledon.
Nishikori overcame a right arm injury to reach his first Wimbledon quarterfinal with a gritty 4-6, 7-6 (7/5), 7-6 (12/10), 6-1 win over Latvian qualifier Ernests Gulbis. He will face Djokovic next in his first quarterfinals appearance at the All England Club. I think people can see that and can feel that.
Latvian 12th seed Ostapenko enjoyed a 7-6 (7/4), 6-0 win against Belarusian world number 50 Aliaksandra Sasnovich.
Beaten by Serena in the 2016 final, Kerber takes on Russian 14th seed Daria Kasatkina, a 6-7 (6/8), 6-3, 6-2 victor against Belgian world number 47 Alison Van Uytvanck.