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#' @title Sulewski Plasticizing Component Distribution
#'
#' @description
#' Density, distribution function, quantile function and random generation
#' for the Sulewski plasticizing component distribution with parameters a, b, c, d and teta.
#'
#' @param x real argument
#' @param a multipurpose parameter (a>=0)
#' @param b multipurpose parameter (b>=0, a+b>0)
#' @param c multipurpose parameter
#' @param d multipurpose parameter (d>=1)
#' @param teta position parameter
#' @return The function returns the value of the cumulative distribution function for the Sulewski plasticizing component distribution.
#' @rdname pspc
#'
#' @details
#' Probability density function
#' see formula (2.1) in the article
#' Cumulative distribution function
#' see formula (2.2)
#' Quantile functon
#' see formulas (2.3-2.5)
#' Random number generator
#' see proposition (4)
#'
#' @author
#' Piotr Sulewski, \email{piotr.sulewski@upsl.edu.pl}, Pomeranian UNiwersity in Slupsk.
#'
#' @references
#' {Sulewski, P., Volodin, A. (2022). \emph{Sulewski Plasticizing Component Distribution: properties and applications.} Lobachtetavskii Journal of Mathtetamatics 43(8), 2286-2300.}
#'
#' @examples
#' dspc(0,1,1,1,1,0)
#' pspc(0,1,1,1,1,0)
#' qspc(0.5,1,1,1,1,0)
#' rspc(10,1,1,1,1,0)
#'
#' @export
pspc <- function(x, a, b, c, d, teta) {
pnorm <- NULL; abs <- NULL; sign <- NULL
if (a >= 0 & b >= 0 & a + b > 0 & d >= 1)
{
u <- a * (x - teta) ^ 3 + b * (x - teta) + c
return(pnorm(sign(u) * abs(u) ^ d, 0, 1))
}
else
{
return("a >= 0 and b >= 0 and a + b > 0 and d >= 1")
}
}
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