R Under development (unstable) (2024-02-23 r85978 ucrt) -- "Unsuffered Consequences"
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> #__________________________________________________
> #test file
> 
> require(lifecontingencies)
Loading required package: lifecontingencies
Package:  lifecontingencies
Authors:  Giorgio Alfredo Spedicato [aut, cre]
    (<https://orcid.org/0000-0002-0315-8888>),
  Christophe Dutang [ctb] (<https://orcid.org/0000-0001-6732-1501>),
  Reinhold Kainhofer [ctb] (<https://orcid.org/0000-0002-7895-1311>),
  Kevin J Owens [ctb],
  Ernesto Schirmacher [ctb],
  Gian Paolo Clemente [ctb] (<https://orcid.org/0000-0001-6795-4595>),
  Ivan Williams [ctb]
Version:  1.3.12
Date:     
BugReport: https://github.com/spedygiorgio/lifecontingencies/issues

> 
> #__________________________________________________
> #vectorize function for testing purposes
> pXt <- Vectorize(pxt, "x")
> qXt <- Vectorize(qxt, "x")
> pxT <- Vectorize(pxt, "t")
> qxT <- Vectorize(qxt, "t")
> 
> tol <- (.Machine$double.eps)^(1/3)
> 
> #see file R/testfunc-demographic.R
> 
> getpxqx <- lifecontingencies:::getpxqx
> 
> gettpx <- lifecontingencies:::gettpx
> 
> gettqx <- lifecontingencies:::gettqx
> 
> getkpxqxk <- lifecontingencies:::getkpxqxk
> 
> 
> 
> 
> #US life table 1979-1981 p 60 Actuarial mathematics
> x <- 0:109
> lx <- c(100000, 
+   98000+ c(740, 648, 584, 535, 495, 459, 426, 396, 370, 347, 328, 309, 285, 248, 196, 129, 047),
+   97000+ c(953, 851, 741, 623, 499, 370, 240, 110),
+   96000+ c(982, 856, 730, 604, 477, 350, 220, 88),
+   95000+ c(951, 808, 655, 492, 317, 129), 
+   94000+ c(926, 706, 465, 201),
+   93000+ c(913, 599, 256),
+   92000+ c(882, 472, 21), 91526, 90986, 90402, 89771, 89087, 88348, 87551, 86695, 85776, 84789,
+   83726, 82726, 81348, 80024, 78609, 77107, 75520, 73846, 72082, 70218, 68248, 66165, 63972, 61673,
+   59279, 56799, 54239, 51599, 48878, 46071, 43180, 40208, 37172, 34095, 31012, 27960, 24961, 22038,
+   19235, 16598, 14154, 11908, 9863, 8032, 6424, 5043, 3884, 2939, 2185, 1598, 1150, 815, 570, 393,
+   267, 179, 119, 78, 51, 33)
> 
> usLT7981 <- data.frame(x=x, lx=lx)
> USLT7981 <- new("lifetable", x=x, lx=lx)
> 
> 
> #__________________________________________________
> #living prob (one-year)
> stopifnot(
+   sum(abs(
+     pXt(USLT7981, x=head(x, -1), t=1) - getpxqx(usLT7981$lx)[, "px"])
+     ) < tol
+ )
> 
> #living prob (t-year) at age x
> stopifnot(
+   all(
+     sapply(c(5, 10, 15, 20, 25, 30, 60, 70), function(k)
+ 	sum(abs(pxT(USLT7981, x=k, t=0:(max(x)-k)) - getkpxqxk(usLT7981$lx, x=k)[, "kpx"])) 
+ 	) < tol)
+ )
> 
> 
> #fractional year living prob
> 
> myt <- 1:30/8
> 
> stopifnot(
+   sum(abs(
+     cbind(
+       pxT(USLT7981, x=10, t=myt, fractional="linear") - gettpx(usLT7981$lx, x=10, k=myt, fractional="linear"),
+       pxT(USLT7981, x=10, t=myt, fractional="hyperbolic") - gettpx(usLT7981$lx, x=10, k=myt, fractional="balducci"),
+       pxT(USLT7981, x=10, t=myt, fractional="constant force") - gettpx(usLT7981$lx, x=10, k=myt, fractional="constant")
+     )
+   )) < tol
+ )
> 
> #fractional year death prob
> 
> stopifnot(
+   sum(abs(
+     cbind(
+       qxT(USLT7981, x=10, t=myt, fractional="linear") - gettqx(usLT7981$lx, x=10, k=myt, fractional="linear"),
+       qxT(USLT7981, x=10, t=myt, fractional="hyperbolic") - gettqx(usLT7981$lx, x=10, k=myt, fractional="balducci"),
+       qxT(USLT7981, x=10, t=myt, fractional="constant force") - gettqx(usLT7981$lx, x=10, k=myt, fractional="constant")
+     )
+   )) < tol
+ )
> 
> 
> 
> #__________________________________________________
> #death prob (one-year)
> stopifnot(
+   sum(abs(qXt(USLT7981, x=head(x, -1), t=1) - getpxqx(usLT7981$lx)[, "qx"])) < tol
+ )
> 
> #death prob (one-year) at age x+k
> stopifnot(
+   sum(
+     sapply(c(5, 10, 15, 20, 25, 30), function(k)
+       sum(abs(qXt(USLT7981, x=k+0:(max(x)-k), t=1) - getkpxqxk(usLT7981$lx, x=k)[, "qxplusk"]))
+     )) < tol
+ )
> 
> #__________________________________________________
> #residual life expectancy
> ex <- function(x)
+   sum(getkpxqxk(usLT7981$lx, x=x)[-1, "kpx"])
> 
> stopifnot(
+   sum(
+     sapply(0:20, function(x) abs(ex(0) - exn(USLT7981, 0)))
+   ) < tol
+ )
> 
> 
> proc.time()
   user  system elapsed 
   2.95    0.17    3.12