`R/uspr.R`

`TreeRearrangementDistances.Rd`

Calculate SPR, TBR and Replug distances on unrooted trees, and the information content of the maximum agreement forest.

USPRDist( tree1, tree2 = NULL, allPairs = is.null(tree2), checks = TRUE, useTbrApproxEstimate = TRUE, useTbrEstimate = TRUE, useReplugEstimate = TRUE ) ReplugDist( tree1, tree2 = NULL, allPairs = is.null(tree2), checks = TRUE, maf = FALSE ) TBRDist( tree1, tree2 = NULL, allPairs = is.null(tree2), checks = TRUE, maf = FALSE, countMafs = FALSE, printMafs = FALSE, exact = maf, approximate = !exact, optimize = TRUE, protectB = TRUE ) MAFInfo(tree1, tree2 = tree1, exact = FALSE)

tree1, tree2 | Trees of class |
---|---|

allPairs | Logical; if |

checks | Logical specifying whether to check that trees are properly
formatted and labelled. Specify |

useTbrApproxEstimate, useTbrEstimate, useReplugEstimate | Logical specifying whether to use approximate TBR distance, TBR distance or Replug distance to help estimate the SPR distance. |

maf | Logical specifying whether to report a maximum agreement forest corresponding to the optimal score. |

countMafs | Logical specifying whether to count the number of maximum agreement forests found. |

printMafs | Logical specifying whether to print maximum agreement
forests to stdout whilst counting.
Use |

exact | Logical specifying whether to calculate the exact TBR distance. |

approximate | Logical specifying whether to calculate the approximate
TBR distance. By default, is set to the opposite of |

optimize | Logical specifying whether to use the default optimizations. |

protectB | Logical specifying whether to use the 'PROTECT_B'
optimization.
Overrides value inherited from |

`USPRDist()`

returns a vector of SPR distances between each pair of
unrooted trees.

`ReplugDist()`

returns a vector of Replug distances between each pair
of trees, or (if `maf = TRUE`

) a named list whose second and third elements
list a vector of maximum agreement forests for each pair of trees.

`TBRDist()`

returns a named list, each element of which bears a
vector corresponding to the requested value for each tree pair. If only the
exact value is requested (`exact = TRUE`

), an unnamed vector of distances is
returned.

`MAFInfo()`

returns the information content of the maximum agreement
forest, in bits. This is defined as the sum of the phylogenetic information
content of each constituent subtree, plus the entropy of the clusters implied
by the division of the tree into subtrees. Note that as there is no
guarantee that the most informative MAF will be encountered,
this measure is approximate only. `exact`

will only serve to guarantee
that a MAF corresponding to the exact TBR distance is among those sampled.

Note that these distances are NP-hard to compute, so the running time of the algorithms used in this software scale exponentially with the distance computed. The version of 'uspr' linked in this package is aimed at trees with up to 50 leaves and uSPR distances up to 14.

If you are interested in comparing rooted trees in terms of SPR operations, you should use 'rspr' instead. 'rspr' is also much more efficient and can easily handle pairs of binary rooted trees with 200+ leaves and distances > 50. rspr is not yet incorporated in this R package; please contact the maintainer if this would be useful to you.

If you use these functions in your research, please cite:

Chris Whidden and Frederick A. Matsen IV. Calculating the Unrooted Subtree-Prune-and-Regraft Distance. arXiv:1511.07529.

Algorithms implemented by Chris Whidden (cwhidden@fredhutch.org)

R wrappers by Martin R. Smith (martin.smith@durham.ac.uk)

tree1 <- TreeTools::BalancedTree(6) tree2 <- TreeTools::PectinateTree(6) # SPR distance USPRDist(tree1, tree2)#> [1] 1# Replug distance ReplugDist(tree1, tree2)#> [1] 1ReplugDist(tree1, tree2, maf = TRUE)#> $replug_dist #> [1] 1 #> #> $maf_1 #> [1] "((0,1),(3,4),2); (*,5);" #> #> $maf_2 #> [1] "((0,1),(3,4),2); (*,5);" #># TBR distance between two trees TBRDist(tree1, tree2, exact = TRUE)#> [1] 1# Compare a list against one tree, using approximate distances TBRDist(list(tree1, tree2), tree2, exact = FALSE)#> $tbr_min #> [1] 1 0 #> #> $tbr_max #> [1] 3 0 #># Compare all pairs in two lists TBRDist(list(tree1, tree2), list(tree1, tree2, tree2), allPairs = TRUE, exact = FALSE)#> $tbr_min #> [,1] [,2] [,3] #> [1,] 0 1 1 #> [2,] 1 0 0 #> #> $tbr_max #> [,1] [,2] [,3] #> [1,] 0 3 3 #> [2,] 3 0 0 #># Compare each tree in a list against each other TBRDist(list(one = tree1, two = tree2, twoAgain = tree2))#> $tbr_min #> one two #> two 1 #> twoAgain 1 0 #> #> $tbr_max #> one two #> two 3 #> twoAgain 3 0 #># Compare each pair in two lists TBRDist(list(tree1, tree2, tree2), list(tree2, tree1, tree2), exact = TRUE, approximate = TRUE, countMafs = TRUE)#> $tbr_exact #> [1] 1 1 0 #> #> $tbr_min #> [1] 1 1 0 #> #> $tbr_max #> [1] 3 3 0 #> #> $n_maf #> [1] 4 4 1 #># Capture maximum agreement forests mafs <- capture.output(TBRDist(tree1, tree2, approximate = FALSE, printMafs = TRUE)) head(mafs)#> [1] "((0,1),(3,4),2); 5;" "((0,1),(3,4),2); 5;" "(0,1,2); (5,4,3);" #> [4] "(0,1,2); (3,5,4);" "(((0,1),2),4,5); 3;" "(((0,1),2),4,5); 3;"MAFInfo(tree1, tree2)#> [1] 4.556913#> [,1] [,2] #> [1,] 4.556913 6.714246 #> [2,] 6.714246 4.556913