How to suppress zero printing in a table (zero.print="" not working)

I have diagonal matrices with NAs and zeros I want to hide.

na.print = "" is working fine, but zero.print = "." seems to treating 0.00 as != 0 ?

Here's a runnable example with print out so you can see what I mean:

x <- matrix(c(0.01, NA, NA, NA, 0.00, 0.00, NA, NA, 0.00, 0.00, -0.01, NA, 0.00, 0.00, 0.00, 0.00), nrow=4, byrow=TRUE)
x
         [,1] [,2]  [,3] [,4]
    [1,] 0.01   NA    NA   NA
    [2,] 0.00    0    NA   NA
    [3,] 0.00    0 -0.01   NA
    [4,] 0.00    0  0.00    0

print.table(x, na.print="", zero.print=".")
         [,1]  [,2]  [,3]  [,4] 
    [1,]  0.01                  
    [2,]  0.00  0.00            
    [3,]  0.00  0.00 -0.01      
    [4,]  0.00  0.00  0.00  0.00

Following the helpful answers below (thanks guys!), and based on the explicit choice in print.table to not zero.print items where any item in the table fails (x == round(x)), here's a version which works with floating.point. I wrote it for a dataframe printing task, but it works with matrices.

print.dataframe <- function (x, digits = getOption("digits"), quote = FALSE, na.print = "", zero.print = "0", justify = "none", ...){
    xx <- format(x, digits = digits, justify = justify)
    if (any(ina <- is.na(x))) 
        xx[ina] <- na.print
    i0 <- !ina & x == 0
    if (zero.print != "0" && any(i0)) 
        xx[i0] <- zero.print
    if (is.numeric(x) || is.complex(x)){
        print(xx, quote = quote, right = TRUE, ...)
    }else{
        print(xx, quote = quote, ...)   
    }
    invisible(x)
}

print.dataframe(bob, zero.print = ".", justify="left")