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#
# TTR: Technical Trading Rules
#
# Copyright (C) 2007-2013 Joshua M. Ulrich
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
#
#' Williams Accumulation / Distribution
#'
#' The Williams Accumulation / Distribution (AD) line is a measure of market
#' momentum. Developed by Larry Williams.
#'
#' The Williams AD line differs from OBV and chaikinAD in that it doesn't take
#' volume into account.
#'
#' @param HLC Object that is coercible to xts or matrix and contains
#' High-Low-Close prices.
#' @return A object of the same class as \code{HLC} or a vector (if
#' \code{try.xts} fails) containing the accumulation / distribution values.
#' @note The Accumulation/Distribution Line is interpreted by looking for a
#' divergence in the direction of the indicator relative to price.
#' @author Joshua Ulrich
#' @seealso See \code{\link{OBV}}, \code{\link{chaikinAD}}, and
#' \code{\link{ATR}}.
#' @references The following site(s) were used to code/document this
#' indicator:\cr
#' \url{https://www.fmlabs.com/reference/WilliamsAD.htm}\cr
#' \url{https://www.metastock.com/Customer/Resources/TAAZ/?p=125}\cr
#' @keywords ts
#' @examples
#'
#' data(ttrc)
#' ad <- williamsAD(ttrc[,c("High","Low","Close")])
#'
"williamsAD" <-
function(HLC) {
# Williams Accumulation/Distribution
HLC <- try.xts(HLC, error=as.matrix)
# Calculate change in close, and true high/low
dCl <- momentum(HLC[,3], 1)
atr <- ATR(HLC)
# Calculate AD
ad <- HLC[,3] - ifelse( dCl > 0, atr[,"trueLow"], atr[,"trueHigh"] )
ad[ dCl == 0 ] <- 0
ad.na <- naCheck(ad)
ad <- cumsum( ad[ad.na$nonNA] )
ad <- c( rep( NA, ad.na$NAs ), ad )
reclass(ad, HLC)
}
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