The stage was set for the return of Roger Federer to the court at the high-altitude Alpine village, with the tennis icon having last played Gstaad in 2004 when he won the title.
A decade and a half ago, a pony-tailed, teenaged Federer made his start on the ATP Tour with a wild card into the event, losing in the first round to Argentine Lucas Arnold.
The fifth-ranked Swiss who holds the record of 17 Grand Slam singles titles but has claimed just one trophy of any kind, in Halle, in 2013, wwas due to play his second round tie against Daniel Brands, the German who took him to three sets last week on clay in Hamburg.
Tipsarevixc has had a dreadful run this season as he has slipped out of the top 10 in a downward trend which has accelerated over the last four months.
He began in January with a title in Chennia but has since managed only three quarter-finals including last week in Bogata.
The number 18 had no answer to Hasse, playing the tournament for the first time and now standing 16-18 this season and now one victory away from a 100th career success.
Tipsarevic went down two breaks in the second set and managed briefly to stop the rot before eventually falling in 61 minutes with six double-faults and dropping service fouyr times.
The loss will be of little help as he attempts to regain the top 10 status he held from 2011-12.
The 2011 Gstaad winner, Marcel Granollers, moved into an ATP quarter-final for the third time this season with a 6-2, 7-5 second-round elimination of Federico Delbonis.
Delbonis had defeated Federer last weekend in a Hamburg semi-final upset before losing to Fabio Fognini.
Granollers, one of eight Spaniards to win the title here in the post-1968 Open era, claimed his win over the 65th-ranked Delbonis - he stood 114th last week - in 96 minutes on the fast clay at 800 metres above sea level.
Barcelona-native Granollers will be playing his first second.
Victor Hanescu advanced into the last eight as Spanish eighth seed Roberto Bautista Agut retired with back pain in the second set to hand a 7-6 (7/2), 3-2 win to the Romanian.
Results from day four of the ATP Swiss Open in Gstaad (x denotes seeding):
Victor Hanescu (ROM) bt Roberto Bautista (ESP x8) 7-6 (7/2), 3-2 abandon
Marcel Granollers (ESP) bt Federico Del Bonis (ARG) 6-2, 7-5
Robin Haase (NED) bt Janko Tipsarevic (SRB x3) 6-2, 6-2