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numericGradient <- function(f, t0, eps=1e-6, ...) {
### numeric gradient of a vector-valued function
### f : function, return Nval x 1 vector of values
### t0 : NPar x 1 vector of parameters
### return:
### NvalxNPar matrix, gradient
NPar <- length(t0)
NVal <- length(f0 <- f(t0, ...))
grad <- matrix(NA, NVal, NPar)
row.names(grad) <- names(f0)
colnames(grad) <- names(t0)
for(i in 1:NPar) {
t2 <- t1 <- t0
t1[i] <- t0[i] - eps/2
t2[i] <- t0[i] + eps/2
grad[,i] <- (f(t2, ...) - f(t1, ...))/eps
}
return(grad)
}
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