Insert and populate two columns based on column wise conditions

I have this df:

data <- structure(list(location = c("bern", "bern", "zurich", "zurich", 
                                "basel", "basel", "basel"), location_latitude = c(4.1, 4.1, 6.2, 
                                                                                  6.2, 7.3, 7.3, 7.3), location_longitude = c(2.1, 2.1, 3.2, 3.2, 
                                                                                                                              5.6, 5.6, 5.6), location_population = c(38, 38, 72, 72, 46, 46, 
                                                                                                                                                                      46), origin = c("zurich", "basel", "bern", "basel", "bern", "zurich", 
                                                                                                                                                                                      "locarno"), origin_temperature = c(12, 20, 21, 20, 21, 12, 27
                                                                                                                                                                                      )), row.names = c(NA, 7L), class = "data.frame")

I have latitude and longitude for location, but I don’t have latitude and longitude for origin.

I want to insert two columns and populate them with latitude and longitude for origin, based on corresponding coordinates of column location, like this:

data_needed <- structure(list(location = c("bern", "bern", "zurich", "zurich", 
                                       "basel", "basel", "basel"), location_latitude = c(4.1, 4.1, 6.2, 
                                                                                         6.2, 7.3, 7.3, 7.3), location_longitude = c(2.1, 2.1, 3.2, 3.2, 
                                                                                                                                     5.6, 5.6, 5.6), location_population = c(38, 38, 72, 72, 46, 46, 
                                                                                                                                                                             46), origin = c("zurich", "basel", "bern", "basel", "bern", "zurich", 
                                                                                                                                                                                             "locarno"), origin_latitude = c("6.2", "7.3", "4.1", 
                                                                                                                                                                                                                             "7.3", "4.1", "6.2", "NA"), origin_longitude = c("3.2", 
                                                                                                                                                                                                                                                                                             "5.6", "2.1", "5.6", "2.1", "3.2", "NA"), origin_temperature = c(12, 
                                                                                                                                                                                                                                                                                                                                                              20, 21, 20, 21, 12, 27)), row.names = c(NA, 7L), class = "data.frame")

I assume it needs to be done column wise, but I don’t know how to do it.

Also I don’t want to have to add conditions that specify locations (e.g., if “zurich”), because the dataset has thousands of locations and origins. I need this to be done ‘automatically’.

Also note that origins that have no matching coordinates in locations (such as Locarno) should return NAs.

Please help!