Union of Allen Relations

Union of Allen Relations

allen_union(x, y, ...)

# S4 method for class 'character,character'
allen_union(x, y)

Arguments

x, y

A character vector of Allen relations.

...

Currently not used.

Value

A character vector.

References

Allen, J. F. (1983). Maintaining Knowledge about Temporal Intervals. Communications of the ACM, 26(11): 832-843. doi:10.1145/182.358434 .

See also

Other Allen's intervals: allen_analyze(), allen_complement(), allen_composition(), allen_converse(), allen_illustrate(), allen_intersect(), allen_joint_concurrency(), allen_observe(), allen_observe_frequency(), allen_relation(), allen_relation_code()

Author

T. S. Dye, N. Frerebeau

Examples

## Data from Husi 2022
loire <- data.frame(
  lower = c(625, 700, 1200, 1225, 1250, 500, 1000, 1200,
            1325, 1375, 1200, 1300, 1375, 1275, 1325),
  upper = c(750, 825, 1250, 1275, 1325, 700, 1300, 1325,
            1400, 1500, 1300, 1375, 1500, 1325, 1425)
)

## Basic relations
allen_relation(loire$lower, loire$upper)
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#>  [1,] NA   "o"  "p"  "p"  "p"  "O"  "p"  "p"  "p"  "p"   "p"   "p"   "p"  
#>  [2,] "O"  NA   "p"  "p"  "p"  "M"  "p"  "p"  "p"  "p"   "p"   "p"   "p"  
#>  [3,] "P"  "P"  NA   "o"  "m"  "P"  "d"  "s"  "p"  "p"   "s"   "p"   "p"  
#>  [4,] "P"  "P"  "O"  NA   "o"  "P"  "d"  "d"  "p"  "p"   "d"   "p"   "p"  
#>  [5,] "P"  "P"  "M"  "O"  NA   "P"  "O"  "f"  "m"  "p"   "O"   "o"   "p"  
#>  [6,] "o"  "m"  "p"  "p"  "p"  NA   "p"  "p"  "p"  "p"   "p"   "p"   "p"  
#>  [7,] "P"  "P"  "D"  "D"  "o"  "P"  NA   "o"  "p"  "p"   "F"   "m"   "p"  
#>  [8,] "P"  "P"  "S"  "D"  "F"  "P"  "O"  NA   "m"  "p"   "S"   "o"   "p"  
#>  [9,] "P"  "P"  "P"  "P"  "M"  "P"  "P"  "M"  NA   "o"   "P"   "O"   "o"  
#> [10,] "P"  "P"  "P"  "P"  "P"  "P"  "P"  "P"  "O"  NA    "P"   "M"   "e"  
#> [11,] "P"  "P"  "S"  "D"  "o"  "P"  "f"  "s"  "p"  "p"   NA    "m"   "p"  
#> [12,] "P"  "P"  "P"  "P"  "O"  "P"  "M"  "O"  "o"  "m"   "M"   NA    "m"  
#> [13,] "P"  "P"  "P"  "P"  "P"  "P"  "P"  "P"  "O"  "e"   "P"   "M"   NA   
#> [14,] "P"  "P"  "P"  "M"  "f"  "P"  "O"  "f"  "m"  "p"   "O"   "o"   "p"  
#> [15,] "P"  "P"  "P"  "P"  "M"  "P"  "P"  "M"  "S"  "o"   "P"   "O"   "o"  
#>       [,14] [,15]
#>  [1,] "p"   "p"  
#>  [2,] "p"   "p"  
#>  [3,] "p"   "p"  
#>  [4,] "m"   "p"  
#>  [5,] "F"   "m"  
#>  [6,] "p"   "p"  
#>  [7,] "o"   "p"  
#>  [8,] "F"   "m"  
#>  [9,] "M"   "s"  
#> [10,] "P"   "O"  
#> [11,] "o"   "p"  
#> [12,] "O"   "o"  
#> [13,] "P"   "O"  
#> [14,] NA    "m"  
#> [15,] "M"   NA   

## Complement
(comp <- allen_complement("F")) # "pmoDseSdfOMP"
#> [1] "pmoDseSdfOMP"

## Converse
(conv <- allen_converse(comp)) # "pmoFDseSdOMP"
#> [1] "pmoFDseSdOMP"

## Composition
allen_composition("oFD", "oFDseS") # "pmoFD"
#> [1] "pmoFD"

## Intersection
allen_intersect("pFsSf", "pmoFD") # "pF"
#> [1] "pF"

# Union
allen_union("pFsSf", "pmoFD") # "pmoFDsSf"
#> [1] "pmoFDsSf"