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42 changes: 20 additions & 22 deletions tests/testthat/test-centrality.R
Original file line number Diff line number Diff line change
Expand Up @@ -146,31 +146,28 @@ test_that("authority_score survives stress test", {

withr::local_seed(42)

is.principal <- function(M, lambda) {
expect_principal <- function(M, lambda) {
expect_equal(eigen(M)$values[1], lambda)
}

is.ev <- function(M, v, lambda) {
expect_ev <- function(M, v, lambda) {
expect_equal(as.vector(M %*% v), lambda * v)
}

is.good <- function(M, v, lambda) {
is.principal(M, lambda)
is.ev(M, v, lambda)
expect_good <- function(M, v, lambda) {
expect_principal(M, lambda)
expect_ev(M, v, lambda)
}

for (i in 1:100) {
G <- sample_gnm(10, sample(1:20, 1))
as <- hits_scores(G)
M <- as_adjacency_matrix(G, sparse = FALSE)
is.good(t(M) %*% M, as$authority, as$value)
}

for (i in 1:100) {
G <- sample_gnm(10, sample(1:20, 1))
repeat {
G <- sample_gnm(10, sample(15:25, 1), directed = FALSE)
if (is_connected(G)) break
}
G <- as_directed(G, mode = "mutual")
hs <- hits_scores(G)
M <- as_adjacency_matrix(G, sparse = FALSE)
is.good(M %*% t(M), hs$hub, hs$value)
expect_good(M %*% t(M), hs$hub, hs$value)
}
})

Expand Down Expand Up @@ -578,26 +575,27 @@ test_that("eigen_centrality() works", {

set.seed(20250907)

is.principal <- function(M, lambda, eps = 1e-12) {
abs(eigen(M)$values[1] - lambda) < eps
expect_principal <- function(M, lambda, eps = 1e-12) {
expect_lt(abs(eigen(M)$values[1] - lambda), eps)
}

is.ev <- function(M, v, lambda, eps = 1e-12) {
max(abs(M %*% v - lambda * v)) < eps
expect_ev <- function(M, v, lambda, eps = 1e-12) {
expect_lt(max(abs(M %*% v - lambda * v)), eps)
}

is.good <- function(M, v, lambda, eps = 1e-12) {
is.principal(M, lambda, eps) && is.ev(M, v, lambda, eps)
expect_good <- function(M, v, lambda, eps = 1e-12) {
expect_principal(M, lambda, eps)
expect_ev(M, v, lambda, eps)
}

for (i in 1:1000) {
G <- sample_gnm(10, sample(1:20, 1))
ev <- eigen_centrality(G)
expect_true(is.good(
expect_good(
as_adjacency_matrix(G, sparse = FALSE),
ev$vector,
ev$value
))
)
}
})

Expand Down
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