```
context("Paths")
test_that("we can extract paths from a graph.", {
leaves <- c("A", "B", "C")
inner_nodes <- c("AC", "BC", "ABC")
edges <- matrix(ncol = 2, byrow=TRUE,
data = c("A", "AC",
"B", "BC",
"C", "AC", "C", "BC",
"AC", "ABC",
"BC", "ABC"))
admixture_proportions <- matrix(ncol = 3, byrow=TRUE,
data = c("C", "AC", "a", "C", "BC", "(1-a)"))
graph <- agraph(leaves, inner_nodes, edges, admixture_proportions)
AB_paths <- all_paths(graph, "A", "B")
CB_paths <- all_paths(graph, "C", "B")
expect_equal(length(AB_paths), 1)
expect_equal(AB_paths[[1]]$from, c("A", "AC", "ABC", "BC"))
expect_equal(AB_paths[[1]]$to, c("AC", "ABC", "BC", "B"))
expect_equal(length(CB_paths), 2)
expect_equal(CB_paths[[1]]$from, c("C", "AC", "ABC", "BC"))
expect_equal(CB_paths[[1]]$to, c("AC", "ABC", "BC", "B"))
expect_equal(CB_paths[[1]]$prob, c("a", "", "", ""))
expect_equal(CB_paths[[2]]$from, c("C", "BC"))
expect_equal(CB_paths[[2]]$to, c("BC", "B"))
expect_equal(CB_paths[[2]]$prob, c("(1-a)", ""))
})
```

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