rloopsshortest-pathtibblesfnetwork

R tibble with list of indexes: how to quickly use them?

I'm looking for a fast way to get the sum of a column in a table based on list of indexes in another table.

Here's a reproducible simple example: First create an edge table

fake_edges <- st_sf(data.frame(id=c('a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i'),
                               weight=c(102.1,98.3,201.0,152.3,176.4,108.6,151.4,186.3,191.2), 
                               soc=c(-0.1,0.7,1.1,0.2,0.5,-0.2,0.4,0.3,0.8), 
                               geometry=st_sfc(st_linestring(rbind(c(1,1), c(1,2))),
                                               st_linestring(rbind(c(1,2), c(2,2))),
                                               st_linestring(rbind(c(2,2), c(2,3))),
                                               st_linestring(rbind(c(1,1), c(2,1))),
                                               st_linestring(rbind(c(2,1), c(2,2))),
                                               st_linestring(rbind(c(2,2), c(3,2))),
                                               st_linestring(rbind(c(1,1), c(1,0))),
                                               st_linestring(rbind(c(1,0), c(0,0))),
                                               st_linestring(rbind(c(0,0), c(0,1)))
                                              )))

tm_shape(fake_edges, ext = 1.3) +
 tm_lines(lwd = 2) +
tm_shape(st_cast(fake_edges, "POINT")) +
  tm_dots(size = 0.3) +
tm_graticules(lines = FALSE)

enter image description here

Then create a network out of the table, and find the least expensive paths from first node to all nodes.

fake_net <- as_sfnetwork(fake_edges)

fake_paths <- st_network_paths(fake_net,
                         from=V(fake_net)[1],
                         to=V(fake_net),
                         weights='weight', type='shortest')

Now, what I'm trying to improve is the process of finding for each row of that fake_paths table

What I did was the following (it's quick here with the 9 lines, but takes a long while on a large network):

# Transforming to data.tables makes things a bit faster
fake_p <- as.data.table(fake_paths)
fake_e <- as.data.table(fake_edges)
# ID of the last edge on the path
fake_p$id <- apply(fake_p, 1, function(df) unlist(fake_e[df$edge_paths %>% last(), 'id'], use.names=F))
# Sum of soc
fake_p$result <- to_vec(for (edge in 1:nrow(fake_p)) fake_e[unlist(fake_p[edge, 'edge_paths']), soc] %>% sum())

Ultimately, what I want is that sum of soc that I call result to be joined backed with the original fake_edges

fake_e = left_join(fake_e, 
                   fake_p %>% select(id, result) %>% drop_na(id) %>% mutate(id=as.character(id), result=as.numeric(result)),
                   by='id')
fake_edges$result <- fake_e$result
fake_edges

Simple feature collection with 9 features and 4 fields
Geometry type: LINESTRING
Dimension:     XY
Bounding box:  xmin: 0 ymin: 0 xmax: 3 ymax: 3
CRS:           NA
id weight soc geometry result
a 102.1 -0.1 LINESTRING (1 1, 1 2) -0.1
b 98.3 0.7 LINESTRING (1 2, 2 2) 0.6
c 201.0 1.1 LINESTRING (2 2, 2 3) 1.7
d 152.3 0.2 LINESTRING (1 1, 2 1) 0.2
e 176.4 0.5 LINESTRING (2 1, 2 2) NA
f 108.6 -0.2 LINESTRING (2 2, 3 2) 0.4
g 151.4 0.4 LINESTRING (1 1, 1 0) 0.4
h 186.3 0.3 LINESTRING (1 0, 0 0) 0.7
i 191.2 0.8 LINESTRING (0 0, 0 1) 1.5
Solution

  • I'm not sure what you are trying to accomplish, but the following procedure should correspond to the process that you describe in the first post.

    Load packages

    suppressPackageStartupMessages({
  library(sf)
  library(igraph)
  library(tidygraph)
  library(sfnetworks)
  library(tibble)
})

    Define fake data

    fake_edges <- st_sf(
  data.frame(
    id = c('a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i'),
    weight = c(102.1, 98.3, 201.0, 152.3, 176.4, 108.6, 151.4, 186.3, 191.2), 
    soc = c(-0.1, 0.7, 1.1, 0.2, 0.5, -0.2, 0.4, 0.3, 0.8), 
    geometry = st_sfc(
      st_linestring(rbind(c(1,1), c(1,2))), 
      st_linestring(rbind(c(1,2), c(2,2))), 
      st_linestring(rbind(c(2,2), c(2,3))), 
      st_linestring(rbind(c(1,1), c(2,1))), 
      st_linestring(rbind(c(2,1), c(2,2))), 
      st_linestring(rbind(c(2,2), c(3,2))), 
      st_linestring(rbind(c(1,1), c(1,0))), 
      st_linestring(rbind(c(1,0), c(0,0))), 
      st_linestring(rbind(c(0,0), c(0,1)))
    )
  )
)

    Create a network out of the table, and find the shortest path from first node to all other nodes

    fake_net <- as_sfnetwork(fake_edges)
fake_paths <- st_network_paths(
  x = fake_net, 
  from = V(fake_net)[1], 
  to = V(fake_net),
  weights = 'weight', 
  type = 'shortest'
)

    Extract the id of the last edge in the path

    idx_numeric <- unlist(lapply(fake_paths[["edge_paths"]], tail, n = 1L))
id <- fake_edges[["id"]][idx_numeric]

    For each path, compute the sum of soc for all the edges of the path

    result <- tapply(
  X = fake_edges[["soc"]][unlist(fake_paths[["edge_paths"]])], 
  INDEX = rep(seq_len(nrow(fake_paths)), times = lengths(fake_paths[["edge_paths"]])), 
  FUN = sum
)

    Create a tibble object with columns id and result

    my_tbl <- tibble(
  id = id, 
  result = result
)

    Run the left join

    left_join(fake_edges, my_tbl)
#> Joining, by = "id"
#> Simple feature collection with 9 features and 4 fields
#> Geometry type: LINESTRING
#> Dimension:     XY
#> Bounding box:  xmin: 0 ymin: 0 xmax: 3 ymax: 3
#> CRS:           NA
#>   id weight  soc result              geometry
#> 1  a  102.1 -0.1   -0.1 LINESTRING (1 1, 1 2)
#> 2  b   98.3  0.7    0.6 LINESTRING (1 2, 2 2)
#> 3  c  201.0  1.1    1.7 LINESTRING (2 2, 2 3)
#> 4  d  152.3  0.2    0.2 LINESTRING (1 1, 2 1)
#> 5  e  176.4  0.5     NA LINESTRING (2 1, 2 2)
#> 6  f  108.6 -0.2    0.4 LINESTRING (2 2, 3 2)
#> 7  g  151.4  0.4    0.4 LINESTRING (1 1, 1 0)
#> 8  h  186.3  0.3    0.7 LINESTRING (1 0, 0 0)
#> 9  i  191.2  0.8    1.5 LINESTRING (0 0, 0 1)

    I really don't understand the ideas behind the algorithm (so I'm not sure how to simulate a larger network), but I think the same “algorithm” works pretty well on larger networks, can you test it?