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# helper function for isochron() that flips X- and Y- axis and back
# if necessary to facilitate anchored regression and model-3 fits
flipper <- function(x,inverse=FALSE,hide=NULL,omit=NULL,
model=1,wtype=0,anchor=0,type='p',...){
y0rat <- gety0rat(x)
DPrat <- getDPrat(x)
yd <- data2york(x,inverse=inverse)
if (model<3 & anchor[1]<1){
ifi <- rep(FALSE,3)
d2calc <- clear(yd,hide,omit)
fit <- regression(d2calc,model=model)
} else if (anchor[1]==1){
wtype <- 1 # override
ifi <- get_ifi(wtype=wtype,type=type,inverse=inverse)
d2calc <- flipinvert(yd=yd,ifi=ifi,type=type,hide=hide,omit=omit)
if (!is.null(y0rat)) anchor[2:3] <- iratio(y0rat)
if (model<2) fit <- anchoredYork(d2calc,y0=anchor[2],sy0=anchor[3])
else fit <- MLyork(d2calc,anchor=anchor,model=model)
} else if (anchor[1]==2){
wtype <- 2 # override
ifi <- get_ifi(wtype=wtype,type=type,inverse=inverse)
d2calc <- flipinvert(yd=yd,ifi=ifi,type=type,hide=hide,omit=omit)
if (is.null(DPrat)){
DP <- anchor[2:3]
} else {
st <- ifelse(length(anchor)<3,0,anchor[3])
DP <- age2ratio(tt=anchor[2],st=st,ratio=DPrat,...)
}
if (model<2){
fit <- anchoredYork(d2calc,y0=DP[1],sy0=DP[2])
} else {
anchor <- c(1,DP)
fit <- MLyork(d2calc,anchor=anchor,model=model)
}
} else if (wtype==1){
ifi <- get_ifi(wtype=wtype,type=type,inverse=inverse)
d2calc <- flipinvert(yd=yd,ifi=ifi,type=type,hide=hide,omit=omit)
fit <- MLyork(d2calc,model=model,wtype='a')
} else if (wtype==2){
ifi <- get_ifi(wtype=wtype,type=type,inverse=inverse)
d2calc <- flipinvert(yd=yd,ifi=ifi,type=type,hide=hide,omit=omit)
fit <- MLyork(d2calc,model=model,wtype='a')
} else {
stop("Invalid anchor and/or wtype value.")
}
fit$anchor <- anchor
out <- list()
out$flippedfit <- fit
if (ifi[3]){
fit <- invertfit(fit,type=type,wtype=wtype)
}
if (ifi[2]){
fit <- unflipfit(fit)
}
if (ifi[1]){
fit <- invertfit(fit,type=type,wtype=wtype)
}
out$wtype <- wtype
out <- append(out,fit)
out$xyz <- yd
out
}
# ifi = invert, flip, invert
get_ifi <- function(wtype,type,inverse){
if (wtype==1){
if (inverse){
out <- c(TRUE,FALSE,FALSE)
} else {
out <- c(FALSE,FALSE,FALSE)
}
} else if (wtype==2){
if (type=='p'){
if (inverse){
out <- c(FALSE,TRUE,TRUE)
} else {
out <- c(TRUE,TRUE,TRUE)
}
} else if (type=='d'){
if (inverse){
out <- c(FALSE,FALSE,FALSE)
} else {
out <- c(TRUE,FALSE,FALSE)
}
} else {
stop('Invalid type')
}
} else {
out <- rep(FALSE,3)
}
out
}
flipinvert <- function(yd,ifi=rep(FALSE,3),type='p',hide=NULL,omit=NULL){
if (ifi[1]) yd <- normal2inverse(yd,type=type)
if (ifi[2]) yd[,c('X','sX','Y','sY','rXY')] <- yd[,c(3,4,1,2,5)]
if (ifi[3]) yd <- normal2inverse(yd)
clear(yd,hide,omit)
}
# the purpose of flipping and inverting is always to use the intercept
# to improve the fit, therefore the inverse operations always attribute
# any overdispersion to the incoming intercept
unflipfit <- function(fit){
out <- fit
a <- -fit$a[1]/fit$b[1]
b <- 1/fit$b[1]
J11 <- -1/fit$b[1]
J12 <- -a/fit$b[1]
J21 <- 0
J22 <- -b/fit$b[1]
E11 <- fit$a[2]^2
E22 <- fit$b[2]^2
E12 <- fit$cov.ab
vcovab <- errorprop(J11,J12,J21,J22,E11,E22,E12)
out$a <- c(a,sqrt(vcovab[1]))
out$b <- c(b,sqrt(vcovab[2]))
out$cov.ab <- unname(vcovab[3])
out
}
invertfit <- function(fit,type="p",wtype=0){
out <- fit
if (type%in%c(1,"p")){
a <- 1/fit$a[1]
b <- -fit$b[1]/fit$a[1]
J11 <- -a/fit$a[1]
J12 <- 0
J21 <- -b/fit$a[1]
J22 <- -1/fit$a[1]
E11 <- fit$a[2]^2
E22 <- fit$b[2]^2
E12 <- fit$cov.ab
vcovab <- errorprop(J11,J12,J21,J22,E11,E22,E12)
out$a <- c(a,sqrt(vcovab[1]))
out$b <- c(b,sqrt(vcovab[2]))
out$cov.ab <- vcovab[3]
} else if (type%in%c(2,"d")){
out$a <- fit$b
out$b <- fit$a
} else {
stop("Invalid isochron type.")
}
names(out$a) <- c('a','s[a]')
names(out$b) <- c('b','s[b]')
out
}
anchoredYork <- function(x,y0=0,sy0=0){
eps <- .Machine$double.eps
X <- rbind(x,c(0,eps,y0,max(sy0,eps),0))
out <- yorkhelper(X,np=1)
if (y0==0) out$a[1] <- 0
if (sy0==0) out$a[2] <- 0
out$model <- 1
out$n <- nrow(x)
out
}
#' Returns the dependent variable of a conventional isochron
#'
#' Helper function that returns a string with the Dd ratio of a given
#' chronometer
#' @param x an IsoplotR data object
#' @param ... optional arguments
#' @noRd
gety0rat <- function(x,...){ UseMethod("gety0rat",x) }
#' @noRd
gety0rat.default <- function(x,...){ NULL }
#' @noRd
gety0rat.ArAr <- function(x,...){ 'Ar40Ar36' }
#' @noRd
gety0rat.PbPb <- function(x,...){ 'Pb207Pb204' }
#' @noRd
gety0rat.ThPb <- function(x,...){ 'Pb208Pb204' }
#' @noRd
gety0rat.KCa <- function(x,...){ 'Ca40Ca44' }
#' @noRd
gety0rat.RbSr <- function(x,...){ 'Sr87Sr86' }
#' @noRd
gety0rat.ReOs <- function(x,...){ 'Os187Os192' }
#' @noRd
gety0rat.SmNd <- function(x,...){ 'Nd143Nd144' }
#' @noRd
gety0rat.LuHf <- function(x,...){ 'Hf176Hf177' }
#' Returns the Daughter-Parent ratio
#'
#' Helper function that returns a string with the DP-ratio of a given
#' chronometer
#'
#' @param x an IsoplotR data object
#' @param ... optional arguments
#' @noRd
getDPrat <- function(x,...){ UseMethod("getDPrat",x) }
#' @noRd
getDPrat.default <- function(x,...){ NULL }
#' @noRd
getDPrat.ArAr <- function(x,...){ 'Ar40Ar39' }
#' @noRd
getDPrat.PbPb <- function(x,...){ 'Pb207Pb206' }
#' @noRd
getDPrat.ThPb <- function(x,...){ 'Pb208Th232' }
#' @noRd
getDPrat.KCa <- function(x,...){ 'Ca40K40' }
#' @noRd
getDPrat.RbSr <- function(x,...){ 'Sr87Rb87' }
#' @noRd
getDPrat.ReOs <- function(x,...){ 'Os187Re187' }
#' @noRd
getDPrat.SmNd <- function(x,...){ 'Nd143Sm147' }
#' @noRd
getDPrat.LuHf <- function(x,...){ 'Hf176Lu176' }
#' Returns the radioactive parent
#'
#' Helper function that returns a string with the parent nuclide
#' of a given chronometer
#'
#' @param x an IsoplotR data object
#' @param ... optional arguments
#' @noRd
getParent <- function(x,...){ UseMethod("getParent",x) }
#' @noRd
getParent.default <- function(x,...){ NULL }
#' @noRd
getParent.ThPb <- function(x,...){ 'Th232' }
#' @noRd
getParent.KCa <- function(x,...){ 'K40' }
#' @noRd
getParent.RbSr <- function(x,...){ 'Rb87' }
#' @noRd
getParent.ReOs <- function(x,...){ 'Re187' }
#' @noRd
getParent.SmNd <- function(x,...){ 'Sm147' }
#' @noRd
getParent.LuHf <- function(x,...){ 'Lu176' }
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