R Under development (unstable) (2023-12-09 r85665 ucrt) -- "Unsuffered Consequences"
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Platform: x86_64-w64-mingw32/x64

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> suppressPackageStartupMessages(library(float))
> set.seed(1234)
> 
> tol = 1e-6
> 
> m = 10
> n = 3
> 
> s = flrnorm(m, n)
> cp_s = crossprod(s)
> cp_d = dbl(cp_s)
> 
> test = eigen(cp_s, symmetric=TRUE, only.values=TRUE)
> truth = eigen(cp_d, symmetric=TRUE, only.values=TRUE)
> stopifnot(all.equal(dbl(test$values), truth$values, tol=tol))
> stopifnot(identical(test$vectors, truth$vectors)) # both NULL
> 
> test = eigen(cp_s, symmetric=TRUE, only.values=FALSE)
> truth = eigen(cp_d, symmetric=TRUE, only.values=FALSE)
> stopifnot(all.equal(dbl(test$values), truth$values, tol=tol))
> stopifnot(all.equal(abs(dbl(test$vectors)), abs(truth$vectors), tol=tol))
> 
> proc.time()
   user  system elapsed 
   0.34    0.01    0.34