#############################################################################
# Copyright (c) 2018 Christophe Dutang
#
# 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, write to the
# Free Software Foundation, Inc.,
# 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA
#
#############################################################################
###
### testing functions
###
#__________________________________________________
#local functions for testing purposes (not exported at all)
getpxqx <- function(Lx)
{
px <- Lx[-1] / Lx[-length(Lx)]
cbind(x=0:(length(Lx)-2), px=px, qx=1-px)
}
frac <- function(x) x-floor(x)
gettpx <- function(Lx, x, k, fractional=c("linear", "balducci", "constant"))
{
fractional <- match.arg(fractional, c("linear", "balducci", "constant"))
#Lx : 0-> omega-1 so Lx[floor(x)+1] is L_x
Flinear <- function(k)
{
pxleft <- Lx[floor(x)+floor(k)+1] / Lx[floor(x)+1]
pxright <- Lx[floor(x)+ceiling(k)+1] / Lx[floor(x)+1]
pxleft *(1-frac(k)) + frac(k)*pxright
}
Fbalducci <- function(k)
{
kpx <- Lx[floor(x)+floor(k)+1] / Lx[floor(x)+1]
pxk <- Lx[floor(x)+ceiling(k)+1] / Lx[floor(x)+floor(k)+1]
qxk <- 1-pxk
kpx* pxk/(1-(1-frac(k))*qxk)
}
Fconstant <- function(k)
{
kpx <- Lx[floor(x)+floor(k)+1] / Lx[floor(x)+1]
pxk <- Lx[floor(x)+ceiling(k)+1] / Lx[floor(x)+floor(k)+1]
kpx * pxk^frac(k)
}
if(fractional == "linear")
res <- sapply(k, Flinear)
else if(fractional == "balducci")
res <- sapply(k, Fbalducci)
else #constant
res <- sapply(k, Fconstant)
res[k < 0] <- NaN
res
}
gettqx <- function(Lx, x, k, fractional=c("linear", "balducci", "constant"))
{
1-gettpx(Lx, x, k, fractional=c("linear", "balducci", "constant"))
}
getkpxqxk <- function(Lx, x)
{
matx <- getpxqx(Lx)
pxplus <- matx[,"px"][(x+1):length(matx[,"px"])]
cbind(k=0:length(pxplus), kpx=c(1, cumprod(pxplus)),
qxplusk=c(1-pxplus, 1))
}
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