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#' @title Get parameters from a formula
#' @description Returns the linear and nonlinear parameters of a \code{formula}
#' @param form Either a string in the form \code{'y ~ ...'} or an object of \code{formula} class
#' @param var_names A string array with the column names of the data.frame containing the data to be fitted.
#' @return A list containing the names of the linear and the nonlinear parameters of the formula.
#'
#' @importFrom stats as.formula terms
#'
#'
get_parameters <- function(form, var_names) {
form <- as.formula(form)
indep_vars <- var_names[var_names != get_lhs(form)]
vars <- all.vars(form)
if (!all(var_names %in% vars)) stop("Variables names in data are not in formula")
parameters <- vars[which(!vars %in% var_names)]
labs <- labels(terms(form))
linear_parameters <- parameters[which(parameters %in% labs)]
# checking for combinations of linear parameters
lin_par_grid <- expand.grid(linear_parameters,linear_parameters)
lin_par_comb <- apply(lin_par_grid, MARGIN = 1, FUN = function(x) paste(x[1],x[2],sep = ":"))
if(any(lin_par_comb %in% labs)) stop("Bad formula. Two linear parameters are multiplying each other...")
nonlinear_parameters <- parameters[!parameters %in% linear_parameters]
return(list(linear_parameters = linear_parameters, nonlinear_parameters = nonlinear_parameters))
}
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