--- /dev/null
+context("Moments")
+
+test_that("both versions of Moments_Mi agree on various inputs",
+{
+ for (n in c(20,200))
+ {
+ for (d in c(2,10,20))
+ {
+ E <- diag(d)
+ Id <- as.double(E)
+ X <- matrix( rnorm(n*d), nrow=n )
+ Y <- rbinom(n, 1, .5)
+ M2 <- as.double(.Moments_M2(X,Y))
+ M2_R <- colMeans(Y * t( apply(X, 1, function(Xi) Xi %o% Xi - Id) ))
+ expect_equal(max(abs(M2 - M2_R)), 0)
+ M3 <- as.double(.Moments_M3(X,Y))
+ M3_R <- colMeans(Y * t( apply(X, 1, function(Xi) {
+ return (Xi %o% Xi %o% Xi -
+ Reduce('+', lapply(1:d, function(j)
+ as.double(Xi %o% E[j,] %o% E[j,])), rep(0, d*d*d)) -
+ Reduce('+', lapply(1:d, function(j)
+ as.double(E[j,] %o% Xi %o% E[j,])), rep(0, d*d*d)) -
+ Reduce('+', lapply(1:d, function(j)
+ as.double(E[j,] %o% E[j,] %o% Xi)), rep(0, d*d*d))) } ) ))
+ expect_equal(max(abs(M3 - M3_R)), 0)
+ }
+ }
+})