#' Calculate Exponentially Modified Gaussian Probability Density(s) or Peak(s)
#'
#' @param x a vector of x-coordinates from which the corrisponding y-coordinates
#' are calculated
#' @param mus the means of the gaussian components
#' @param sigmas the standard deviations of the gaussian components
#' @param lambdas rate parameters of the exponential components
#' @param probDensity Should the function produce a probability density
#' `TRUE` or exponentially modified gaussian peaks `FALSE` with amplitudes ks? default is `TRUE`.
#' @param ks Amplitudes of the gaussian peaks. Only used when `probDensity == TRUE`
#' @param returnComponentPks Should the function return a single vector
#' containing the sum of each individual peak `FALSE` or a data.frame
#' containing the input vector `x`, each component peak `peak_n`, and the
#' summed result of the component peaks `peak_sum`. The default is FALSE.
#' @return returns either a single vector of y-coordinates the same length as x or a data.frame
#' @export
#'
#' @examples
#' xVec <- seq(from = 1, to = 100, by = 0.1)
#' pdist <- multi_expGaussian(x = xVec,
#' mus = c(5, 10, 15),
#' sigmas = c(1, 2, 4),
#' lambdas = c(0.1, 0.1, 0.2),
#' probDensity = TRUE,
#' returnComponentPks = FALSE)
#' pdist_components <- multi_expGaussian(x = xVec,
#' mus = c(5, 10, 15),
#' sigmas = c(1, 2, 4),
#' lambdas = c(0.1, 0.1, 0.2),
#' probDensity = TRUE,
#' returnComponentPks = TRUE)
#' plot(x = xVec, y = pdist)
#' plot(x = pdist_components$x, y = pdist_components$peak_sum)
#' points(x = pdist_components$x, y = pdist_components$peak_1, col = "red")
#' points(x = pdist_components$x, y = pdist_components$peak_2, col = "blue")
#' points(x = pdist_components$x, y = pdist_components$peak_3, col = "green")
#'
multi_expGaussian <- function(x, mus, sigmas, lambdas, probDensity, ks, returnComponentPks = FALSE){
if(probDensity){
ks <- 1
}
peaks <- mapply(FUN = func_expGaussian,
mu = mus,
sigma = sigmas,
lambda = lambdas,
k = ks,
probDensity = probDensity,
MoreArgs = list(x = x),
SIMPLIFY = FALSE)
multiPeak_sum(x = x, peaks = peaks, probDensity = probDensity, returnComponentPks = returnComponentPks)
}
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