R Under development (unstable) (2024-05-20 r86569 ucrt) -- "Unsuffered Consequences"
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Platform: x86_64-w64-mingw32/x64

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> if (!requireNamespace("statmod")) q("no")
Loading required namespace: statmod
> library("polyCub")
> 
> ## statmod::gauss.quad() gives cached Gauss-Legendre nodes/weights
> new.NWGL <- lapply(
+     X = seq_len(61L),
+     FUN = function (n)
+     unname(statmod::gauss.quad(n = n, kind = "legendre"))
+ )
> stopifnot(all.equal(new.NWGL, polyCub:::.NWGL, check.attributes = FALSE))
> 
> ## polyCub.SV() can fetch nodes and weights from 'statmod'
> diamond <- list(list(x = c(1,2,1,0), y = c(1,2,3,2)))
> nw <- polyCub.SV(diamond, f = NULL, nGQ = 83)  # nGQ > 61
> stopifnot(is.list(nw))
> 
> ## polyCub.SV() can reduce nodes with zero weight
> rectangle <- list(list(x = c(-1,1,1,-1), y = c(1,1,2,2)))
> ##nw0 <- polyCub.SV(rectangle, f = NULL, nGQ = 3, engine = "C")[[1]]  # 0s
> nw <- polyCub.SV(rectangle, f = NULL, nGQ = 3, engine = "C+reduce")[[1]]
> stopifnot(nw$weights != 0)
> ##f <- function (s) 1  # => calculate area (= 2)
> stopifnot(all.equal(sum(nw$weights), 2))
> 
> proc.time()
   user  system elapsed 
   0.29    0.07    0.35