R Under development (unstable) (2024-01-31 r85845 ucrt) -- "Unsuffered Consequences"
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> require(fracdiff)
Loading required package: fracdiff
> 
> ## confirm that we guessed right:
> ## fracdiff.sim(....., d = 0, backComp = FALSE)  <===>  arima.sim(....)
> 
> AR <- c(0.7, -0.1, 0.2)
> MA <- c(-0.5, 0.4, 0.4)
> n <- 512 ; sd <- 0.1
> n.st <- 10
> 
> set.seed(1)
> for(i in 1:200) {
+     cat(sprintf("%3d ", i))
+     p <- sample(0:length(AR), 1)
+     q <- sample(0:length(MA), 1)
+     .ar <- AR[seq_len(p)]
+     .ma <- MA[seq_len(q)]
+     n.st <- p+q+ rpois(1, lambda = 2)
+     sid <- round(runif(1)* 1000)
+     set.seed(sid)
+     y1 <- arima.sim(list(ar = .ar, ma = .ma), n = n, n.start = n.st, sd = sd)
+     set.seed(sid)
+     y2 <- fracdiff.sim(n = n, ar = .ar, ma = - .ma, d = 0,
+                        n.start = n.st, sd = sd, backComp = FALSE)
+     if(!isTRUE(aeq <- all.equal(c(y1), y2$series, tol = 1e-15)))
+         cat("y1 and y2 are not equal: ", aeq,"\n")
+     if(!(i %% 10))    cat("\n")
+ }
  1   2   3   4   5   6   7   8   9  10 
 11  12  13  14  15  16  17  18  19  20 
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 61  62  63  64  65  66  67  68  69  70 
 71  72  73  74  75  76  77  78  79  80 
 81  82  83  84  85  86  87  88  89  90 
 91  92  93  94  95  96  97  98  99 100 
101 102 103 104 105 106 107 108 109 110 
111 112 113 114 115 116 117 118 119 120 
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161 162 163 164 165 166 167 168 169 170 
171 172 173 174 175 176 177 178 179 180 
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191 192 193 194 195 196 197 198 199 200 
> 
> 
> ## Last Line:
> cat('Time elapsed: ', proc.time(),'\n')
Time elapsed:  0.5 0.07 0.56 NA NA 
> 
> 
> 
> proc.time()
   user  system elapsed 
   0.50    0.07    0.56