R Under development (unstable) (2024-08-21 r87038 ucrt) -- "Unsuffered Consequences"
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> library(testthat)
>  Sys.setenv('OMP_THREAD_LIMIT'=2)
>  library(rlibkriging)

Attaching package: 'rlibkriging'

The following objects are masked from 'package:base':

    load, save

> 
> ##library(rlibkriging, lib.loc="bindings/R/Rlibs")
> ##library(testthat)
> 
> f <- function(x) {
+     1 - 1 / 2 * (sin(12 * x) / (1 + x) + 2 * cos(7 * x) * x^5 + 0.7)
+ }
> plot(f, xlim = c(-1, 2), ylim = c(0, 1))
> n <- 5
> X_o <- seq(from = 0, to = 1, length.out = n)
> noise = 0.2^2
> set.seed(1234)
> y_o <- f(X_o) + rnorm(n, sd = sqrt(noise))
> points(X_o, y_o)
> 
> lk <- NoiseKriging(y = matrix(y_o, ncol = 1),
+                 noise = matrix(rep(noise, n), ncol = 1),
+               X = matrix(X_o, ncol = 1),
+               kernel = "gauss",
+               regmodel = "constant",
+               optim = "none",
+               #normalize = TRUE,
+               parameters = list(theta = matrix(0.1), sigma2=0.09))
> 
> library(DiceKriging)

Attaching package: 'DiceKriging'

The following object is masked from 'package:rlibkriging':

    leaveOneOutFun

> dk <- km(response = matrix(y_o, ncol = 1),
+               design = matrix(X_o, ncol = 1),
+               covtype = "gauss",
+               formula = ~1,
+               noise.var = rep(noise, n),
+               nugget.estim=FALSE,
+               #optim = "none",
+               #normalize = TRUE,
+               coef.cov = lk$theta()[1,1],
+               coef.trend = lk$beta(),
+               coef.var = lk$sigma2())
> 
> ## Predict & simulate
> X_n = seq(-1,2,,31) #sort(unique(c(X_o,seq(0,1,,31))))
> 
> dp = predict(dk, newdata = data.frame(X = X_n), type="UK", checkNames=FALSE)
> lines(X_n,dp$mean,col='blue')
> polygon(c(X_n,rev(X_n)),c(dp$mean+2*dp$sd,rev(dp$mean-2*dp$sd)),col=rgb(0,0,1,0.2),border=NA)
> 
> lp = lk$predict(X_n) # libK predict
> lines(X_n,lp$mean,col='red')
> polygon(c(X_n,rev(X_n)),c(lp$mean+2*lp$stdev,rev(lp$mean-2*lp$stdev)),col=rgb(1,0,0,0.2),border=NA)
> 
> ls = lk$simulate(1000, 123, X_n) # libK simulate
> for (i in 1:min(100,ncol(ls))) {
+     lines(X_n,ls[,i],col=rgb(1,0,0,.1),lwd=4)
+ }
> 
> ds = simulate(dk, nsim = ncol(ls), newdata = data.frame(X = X_n), type="UK", checkNames=FALSE, 
+ cond=TRUE, noise.sim = 1e-10)
> for (i in 1:min(100,nrow(ds))) {
+     lines(X_n,ds[i,],col=rgb(0,0,1,.1),lwd=4)
+ }
> 
> # DiceKriging is not working for far X_n / X_o
> for (i in which(X_n >= 0 & X_n <= 1)) {
+     if (dp$sd[i] > 1e-3) # otherwise means that density is ~ dirac, so don't test
+     test_that(desc=paste0("DiceKriging simulate sample ( ~N(",mean(ds[,i]),",",sd(ds[,i]),") ) follows predictive distribution ( =N(",dp$mean[i],",",dp$sd[i],") ) at ",X_n[i]),
+         expect_true(ks.test(ds[,i], "pnorm", mean = dp$mean[i],sd = dp$sd[i])$p.value > 0.01))
+ }
Test passed 😸
Test passed 😸
Test passed 🎊
Test passed 🥳
Test passed 😀
Test passed 😀
Test passed 🥇
Test passed 🎉
Test passed 🥳
Test passed 😀
Test passed 🥳
> 
> for (i in 1:length(X_n)) {
+     if (lp$stdev[i,] > 1e-3) # otherwise means that density is ~ dirac, so don't test
+     test_that(desc=paste0("libKriging simulate sample ( ~N(",mean(ls[i,]),",",sd(ls[i,]),") ) follows predictive distribution ( =N(",lp$mean[i,],",",lp$stdev[i,],") ) at ",X_n[i]),
+         expect_true(ks.test(ls[i,], "pnorm", mean = lp$mean[i,],sd = lp$stdev[i,])$p.value > 0.01))
+ }
Test passed 🥇
Test passed 🎊
Test passed 🥇
Test passed 🌈
Test passed 🎉
Test passed 🎊
Test passed 🎊
Test passed 🎊
Test passed 🥇
Test passed 😀
Test passed 🌈
Test passed 🥳
Test passed 😀
Test passed 🎉
Test passed 🎉
Test passed 🎊
Test passed 🎊
Test passed 🥳
Test passed 🥳
Test passed 🥇
Test passed 🥇
Test passed 🥇
Test passed 😀
Test passed 🎉
Test passed 😸
Test passed 🎊
Test passed 😀
Test passed 🎊
Test passed 🎊
Test passed 🥳
Test passed 🥇
> 
> # DiceKriging is not working for far X_n / X_o
> for (i in which(X_n >= 0 & X_n <= 1)) {
+     if (dp$sd[i] > 1e-3) {# otherwise means that density is ~ dirac, so don't test
+     plot(density(ds[,i]))
+     lines(density(ls[i,]),col='red')
+     test_that(desc=paste0("DiceKriging/libKriging simulate samples ( ~N(",mean(ds[,i]),",",sd(ds[,i]),") / ~N(",mean(ls[i,]),",",sd(ls[i,]),") ) matching at ",X_n[i]),
+         expect_true(ks.test(ds[,i], ls[i,])$p.value > 0.01))
+     }
+ }
Test passed 😀
Test passed 🎉
Test passed 😀
Test passed 🥳
Test passed 🥳
Test passed 🎉
Test passed 🎊
Test passed 😸
Test passed 🥳
Test passed 😸
Test passed 🌈
> 
> proc.time()
   user  system elapsed 
   6.42    0.60    7.03