#############################################################################
# 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 R functions for testing purposes
getrentest <- function(Lx, x, R, nu, s, t, anticipated=TRUE)
{
if(missing(s))
s <- 0
if(missing(t))
t <- Inf
kpx <- getkpxqxk(Lx, x)
if(anticipated)
idx <- kpx[,"k"] >= s & kpx[,"k"] < s+t
else
idx <- kpx[,"k"] > s & kpx[,"k"] <= s+t
R * sum(nu^kpx[idx,"k"] * kpx[idx,"kpx"])
}
getcapitalst <- function(Lx, x, K, nu, s, t)
{
if(missing(s))
s <- 0
if(missing(t))
t <- Inf
kpx <- getkpxqxk(Lx, x)
idx <- kpx[,"k"] >= s & kpx[,"k"] < s+t
K*sum(nu^(kpx[idx,"k"]+1) * kpx[idx,"kpx"] * kpx[idx,"qxplusk"])
}
getrentestthly <- function(Lx, x, R, nu, s, t, k, fractional=c("linear", "balducci", "constant"), anticipated=TRUE)
{
if(missing(s))
s <- 0
if(missing(t))
t <- Inf
if(anticipated)
l <- seq(s*k, (s+t)*k-1, by=1)
else
l <- seq(s*k+1, (s+t)*k, by=1)
nuk <- nu^(1/k)
years <- seq(s, s+t-1, by=1)
fracyear <- (0:(k-1))/k
lpx <- as.vector(sapply(years, function(y) gettpx(Lx, x, y+fracyear, fractional)))
R/k*sum(nuk^(l) * lpx )
}
getcapitalstthly <- function(Lx, x, K, nu, s, t, k, fractional=c("linear", "balducci", "constant"))
{
if(missing(s))
s <- 0
if(missing(t))
t <- Inf
l <- seq(s*k, (s+t)*k-1, by=1)
nuk <- nu^(1/k)
years <- seq(s, s+t-1, by=1)
fracyear <- (0:(k-1))/k
lpx <- as.vector(sapply(years, function(y) gettpx(Lx, x, y+fracyear, fractional)))
qxl <- as.vector(sapply(years, function(y) gettqx(Lx, x+y+fracyear, 1/k, fractional)))
K*sum(nuk^(l+1) * lpx * qxl)
}
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