```
#' @title Rippl analysis
#' @description Computes the Rippl no-failure storage for given time series of inflows and releases using the sequent peak algorithm.
#' @param Q vector or time series object. Net inflow totals to the reservoir.
#' @param target a target release constant in same volumteric units as Q. Can be omitted if R is given.
#' @param R a time series or vector of target releases (volumetric). Must be the same length as Q.
#' @param double_cycle logical. If TRUE the Q and R time series will be replicated and placed end-to-end to double the simulation. Recommended if the critical period occurs at the end of the sequence.
#' @param plot logical. If TRUE (the default) the storage behavior diagram is plotted.
#' @return Returns the no-fail storage capacity and corresponding storage behaviour time series.
#' @examples # define a release vector for a constant release equal to 90 % of the mean inflow
#' no_fail_storage <- Rippl(resX$Q_Mm3, target = 0.9 * mean(resX$Q_Mm3))$No_fail_storage
#' @import stats
#' @export
Rippl <- function(Q, target, R, double_cycle = FALSE, plot = TRUE) {
if (is.ts(Q) == FALSE && is.vector(Q) == FALSE)
stop("Q must be time series or vector object")
if (!missing(target) && !missing(R))
stop("Supply target or R, not both!")
if (!missing(target))
R <- rep(target, length(Q))
if (length(Q) != length(R))
stop("Q and R must be of equal length")
if (is.ts(R) == FALSE && is.vector(R) == FALSE)
stop("R must be time series or vector object")
if (double_cycle) {
Q <- ts(c(Q, Q), start = start(Q), frequency = frequency(Q))
R <- c(R, R)
}
K <- vector("numeric", length = length(Q) + 1)
Spill <- vector("numeric", length = length(Q))
for (t in 1:length(Q)) {
if (R[t] - Q[t] + K[t] > 0) {
K[t + 1] <- R[t] - Q[t] + K[t]
} else {
K[t + 1] <- 0
Spill[t] <- abs(R[t] - Q[t] + K[t])
}
}
K <- ts(K[1:(length(K) - 1)], start = start(Q), frequency = frequency(Q))
Spill <- ts(Spill, start = start(Q), frequency = frequency(Q))
if (plot) {
plot(max(K) - K, ylab = "Storage", main = paste0("No Fail Storage = ", round(max(K),3)))
plot(Q, ylab = "Inflow totals")
plot(Spill, ylab = "Uncontrolled spill")
}
results <- list(max(K),(max(K) - K), Spill)
names(results) <- c("No_fail_storage","Storage_behavior", "Uncontrolled_spill")
return(results)
}
```

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