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library("matrixStats")

set.seed(1)

x <- matrix(rnorm(20), nrow=5, ncol=4)
print(x)

# Non-weighted row averages
xM0 <- rowMeans(x)
xM1 <- rowWeightedMeans(x)
print(xM1)
stopifnot(all.equal(xM1, xM0))
xM2 <- colWeightedMeans(t(x))
stopifnot(all.equal(xM2, xM0))


# Weighted row averages (uniform weights)
w <- rep(2.5, ncol(x))
xM1 <- rowWeightedMeans(x, w=w)
print(xM1)
stopifnot(all.equal(xM1, xM0))
xM2 <- colWeightedMeans(t(x), w=w)
stopifnot(all.equal(xM2, xM0))


# Weighted row averages (excluding some columns)
w <- c(1,1,0,1)
xM0 <- rowMeans(x[,(w == 1),drop=FALSE])
xM1 <- rowWeightedMeans(x, w=w)
print(xM1)
stopifnot(all.equal(xM1, xM0))
xM2 <- colWeightedMeans(t(x), w=w)
stopifnot(all.equal(xM2, xM0))


# Weighted row averages (excluding some columns)
w <- c(0,1,0,0)
xM0 <- rowMeans(x[,(w == 1),drop=FALSE])
xM1 <- rowWeightedMeans(x, w=w)
stopifnot(all.equal(xM1, xM0))
xM2 <- colWeightedMeans(t(x), w=w)
stopifnot(all.equal(xM2, xM0))


# Weighted row averages (all zero weights)
w <- c(0,0,0,0)
xM0 <- rowMeans(x[,(w == 1),drop=FALSE])
xM1 <- rowWeightedMeans(x, w=w)
stopifnot(all.equal(xM1, xM0))
xM2 <- colWeightedMeans(t(x), w=w)
stopifnot(all.equal(xM2, xM0))


# Weighted averages by rows and columns
w <- 1:4
xM1 <- rowWeightedMeans(x, w=w)
print(xM1)
xM2 <- colWeightedMeans(t(x), w=w)
stopifnot(all.equal(xM2, xM1))


x[sample(length(x), size=0.3*length(x))] <- NA
print(x)

# Non-weighted row averages with missing values
xM0 <- rowMeans(x, na.rm=TRUE)
xM1 <- rowWeightedMeans(x, na.rm=TRUE)
print(xM1)
stopifnot(all.equal(xM1, xM0))
xM2 <- colWeightedMeans(t(x), na.rm=TRUE)
stopifnot(all.equal(xM2, xM0))


# Weighted row averages with missing values
xM0 <- apply(x, MARGIN=1, FUN=weighted.mean, w=w, na.rm=TRUE)
print(xM0)
xM1 <- rowWeightedMeans(x, w=w, na.rm=TRUE)
print(xM1)
stopifnot(all.equal(xM1, xM0))
xM2 <- colWeightedMeans(t(x), w=w, na.rm=TRUE)
stopifnot(all.equal(xM2, xM0))


# Weighted averages by rows and columns
w <- 1:4
xM1 <- rowWeightedMeans(x, w=w, na.rm=TRUE)
xM2 <- colWeightedMeans(t(x), w=w, na.rm=TRUE)
stopifnot(all.equal(xM2, xM1))