#' Distance at time t calculator
#'
#' @description Calculate the Head fire spread distance at time t. In the
#' documentation this variable is just "D".
#'
#' All variables names are laid out in the same manner as Forestry Canada Fire
#' Danger Group (FCFDG) (1992). Development and Structure of the Canadian
#' Forest Fire Behavior Prediction System." Technical Report ST-X-3,
#' Forestry Canada, Ottawa, Ontario.
#'
#' @param FUELTYPE The Fire Behaviour Prediction FuelType
#' @param ROSeq The predicted equilibrium rate of spread (m/min)
#' @param HR The elapsed time (min)
#' @param CFB Crown Fraction Burned
#'
#' @return DISTt - Head fire spread distance at time t
#' @noRd
distance_at_time <- function(FUELTYPE, ROSeq, HR, CFB) {
# Eq. 72 (FCFDG 1992)
# Calculate the alpha constant for the DISTt calculation
alpha <- ifelse(
FUELTYPE %in% c("C1", "O1A", "O1B", "S1", "S2", "S3", "D1"),
0.115,
0.115 - 18.8 * (CFB**2.5) * exp(-8 * CFB)
)
# Eq. 71 (FCFDG 1992) Calculate Head fire spread distance
DISTt <- ROSeq * (HR + exp(-alpha * HR) / alpha - 1 / alpha)
return(DISTt)
}
.DISTtcalc <- function(...) {
.Deprecated("distance_at_time")
return(distance_at_time(...))
}
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