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##############################################################################################################################
#
# find the general trend (Positive or Negative) of the user function
#
#
#' Determine the general trend (general, overall slope) of the fitmetric function
#'
#' Calculates the fitmetric function at two distant points and calculates the slope using lineal regression.
#'
#' @param fun as function R2, rmse, or user (user-defined function)
#'
#' @return a character string ("Increasing", "Decreasing", "Flat", "Uncertain")
#'
#' @examples
#' utrend(R2)
#' utrend(rmse)
#'
#' @export
#' utrend()
utrend <- function(fun){
#initiate varaiables
nsamples <- 3*10^5
xA <- 3
xB <- 1000
fmt <- "%1.2f"
#generate two matricies at two distant points to determine general function trend
#use rnorm with default paramters
#pointA
matA <- matrix(rnorm(nsamples), ncol=xA)
matB <- matrix(rnorm(nsamples), ncol=xA)
vA <- fun(matA, matB)
vA <- sum(vA)/length(vA)
vA <- sprintf(fmt,vA)
#pointB
matA <- matrix(rnorm(nsamples), ncol=xB)
matB <- matrix(rnorm(nsamples), ncol=xB)
vB <- fun(matA, matB)
vB <- sum(vB)/length(vB)
vB <- sprintf(fmt, vB)
df <- data.frame(v=c(vA,vB), x=c(xA,xB))
mdl <- lm(v~x,data=df)
slope <- mdl$coefficient[[2]]
if(slope> 0) {trend <- "Increasing"
} else if(slope==0) {trend <- "Flat"
} else if(slope< 0) {trend <- "Decreasing"
} else {trend <- "Uncertain"
}
return(trend)
}
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