BDe score calculation

Question

I tried to calculate BDe Score in R without using the built in function of different R packages.

library(bnlearn)
library(tidyverse)

# Load the ALARM network
# load("http://www.bnlearn.com/bnrepository/alarm/alarm.bif.gz")
alarmNetwork_ls <- read.bif("alarm.bif.gz")

# Load the ALARM data
data("alarm")

# Select a subset of the data for testing
test_data <- alarm[sample(nrow(alarm), 1000), ]

# The functions above match on names;
# the name of one of the nodes in the network is "LVFAILURE",
# but this name in the alarm dataset is "LVF".
# We fixed the column name using the code below.

test_data <- test_data %>% 
  rename(
    HISTORY = HIST, 
    HREKG = HREK,
    HRSAT = HRSA,
    PRESS = PRSS,
    EXPCO2 = ECO2,
    MINVOL = MINV,
    MINVOLSET = MVS,
    HYPOVOLEMIA = HYP,
    ANAPHYLAXIS = APL,
    INSUFFANESTH = ANES,
    PULMEMBOLUS = PMB,
    INTUBATION = INT,
    KINKEDTUBE = KINK,
    DISCONNECT = DISC,
    LVEDVOLUME = LVV,
    STROKEVOLUME = STKV,
    CATECHOL = CCHL,
    LVFAILURE = LVF,
    ERRLOWOUTPUT = ERLO,
    ERRCAUTER = ERCA,
    SHUNT = SHNT,
    PVSAT = PVS,
    ARTCO2 = ACO2,
    VENTALV = VALV,
    VENTLUNG = VLNG,
    VENTTUBE = VTUB,
    VENTMACH = VMCH
  )

# calculate log-likelihood of data under the network
log_likelihood <- function(data, bn) {
  n <- nrow(data)
  nodes <- nodes(bn)
  parents <- parents(bn)
  logprob <- rep(0, n)
  for (i in 1:n) {
    prob <- 1
    for (j in 1:length(nodes)) {
      node <- nodes[[j]]
      node_name <- node$name
      node_parents <- parents[[j]]
      if (length(node_parents) == 0) {
        prob_node <- cpquery(bn, node_name, list(), data[i,])
      } else {
        parent_values <- data[i,node_parents]
        prob_node <- cpquery(bn, node_name, list(parents = parent_values), data[i,])
      }
      prob <- prob * prob_node
    }
    logprob[i] <- log(prob)
  }
  return(sum(logprob))
}

# calculate number of parameters in the model
num_params <- function(bn) {
  nodes <- nodes(bn)
  parents <- parents(bn)
  n_params <- 0
  for (i in 1:length(nodes)) {
    node <- nodes[[i]]
    node_states <- length(node$levels[[1]])
    n_parents <- length(parents[[i]])
    n_params <- n_params + node_states * (n_parents + 1)
  }
  return(n_params)
}

# calculate BDe score
BDe_score <- function(data, bn) {
  n <- nrow(data)
  LL <- log_likelihood(data, bn)
  d <- ncol(data)
  k <- num_params(bn)
  score <- LL - 0.5 * log(n) * k
  return(score)
}

# test function on alarm data and network
BDe_score(test_data, alarmNetwork_ls)

I tried ro run the above code but got follwing error:

Error in check.nodes(nodes = node, graph = x, max.nodes = 1) :
no node specified.

I know there are several R packages to calculate BDe score but can anyone help me to resolve my issue without using those built-in functions? Or if anyone can help me to code the proposition 18.2 of Probabilistic Graphical Models: Principles and Techniques Book by Daphne Koller and Nir Friedman