R Under development (unstable) (2023-05-24 r84463 ucrt) -- "Unsuffered Consequences"
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> options("rgdal_show_exportToProj4_warnings"="none")
> library(sp)
The legacy packages maptools, rgdal, and rgeos, underpinning this package
will retire shortly. Please refer to R-spatial evolution reports on
https://r-spatial.org/r/2023/05/15/evolution4.html for details.
This package is now running under evolution status 0 
> data(meuse)
> data(meuse.grid)
> coordinates(meuse) = ~x+y
> coordinates(meuse.grid) = ~x+y
> x = coordinates(meuse)
> y = coordinates(meuse.grid)
> out = spDists(meuse,meuse.grid)
> out2 = as.matrix(dist(rbind(coordinates(meuse),coordinates(meuse.grid))))
> out2 = out2[1:155,155+1:nrow(y)]
> # should be equal:
> sum(out2 - out)
[1] 0
> summary(as.vector(out2 - out))
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
      0       0       0       0       0       0 
> 
> out = spDists(meuse.grid,meuse)
> sum(out2 - t(out))
[1] 0
> summary(as.vector(out2 - t(out)))
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
      0       0       0       0       0       0 
> 
> proc.time()
   user  system elapsed 
   0.79    0.20    0.98