#' A function to add accesssory data to a STRAND data object for use in longitudinal analysis
#'
#' This is an internal function.
#'
#' @param data A STRAND data object.
#' @param verbose If TRUE, then print structure of generalized reciprocity matrix.
#' @return A STRAND data object with extra information about the structure of the generalized reciprocity matrix.
#' @export
#'
build_multiplex_bindings_sr_longitudinal = function(data, verbose = FALSE){
# Compute banding structure
fill_set = c()
for(k in 1:(data$N_responses-1)){
fill_set = c(fill_set, seq(k, 1))
}
# Build A matrix
bindings_mat_A = diag(NA, data$N_responses)
bindings_mat_A[upper.tri(bindings_mat_A)] = fill_set
bindings_mat_A[lower.tri(bindings_mat_A)] = 0
# Build C matrix
bindings_mat_C = diag(NA, data$N_responses)
bindings_mat_C[upper.tri(bindings_mat_C)] = fill_set + (data$N_responses - 1)
bindings_mat_C[lower.tri(bindings_mat_C)] = 0
# Build B matrice
bindings_mat_B = diag(0, data$N_responses)
bindings_mat_B[upper.tri(bindings_mat_B)] = fill_set + 2*(data$N_responses - 1)
bindings_mat_B[lower.tri(bindings_mat_B)] = 0
bindings_mat_Bt = diag(0, data$N_responses)
bindings_mat_Bt[upper.tri(bindings_mat_Bt)] = fill_set + 3*(data$N_responses - 1)
bindings_mat_Bt[lower.tri(bindings_mat_Bt)] = 0
bindings_mat_B = bindings_mat_B + t(bindings_mat_Bt)
diag(bindings_mat_B) = 4*(data$N_responses - 1) + 1
# Assemble full matrix
bindings_mat = diag(NA, 2*data$N_responses)
bindings_mat[upper.tri(bindings_mat)] = 0
bindings_mat[1:data$N_responses, 1:data$N_responses] = t(bindings_mat_A)
bindings_mat[(1:data$N_responses)+data$N_responses, (1:data$N_responses)+data$N_responses] = t(bindings_mat_C)
bindings_mat[(1:data$N_responses)+data$N_responses, 1:data$N_responses] = bindings_mat_B
# Compute lookup table
sr_indices = which(bindings_mat > 0, arr.ind=TRUE)
sr_indices = sr_indices[order(sr_indices[,1]),]
sr_id = bindings_mat[sr_indices]
# Compute other info
data$N_sr_bindings_l = choose(2*data$N_responses,2) # Not sure about this one
data$N_sr_params_l = 4*(data$N_responses - 1) + 1
data$N_sr_indices_l = nrow(sr_indices)
data$sr_indices_l = sr_indices
data$sr_id_l = bindings_mat[sr_indices]
if(verbose == TRUE){
print(bindings_mat)
}
return(data)
}
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