[R] triple integral: adapt package question

From: Davood Tofighi <dtofighi_at_asu.edu>
Date: Fri, 07 Mar 2008 13:00:31 -0700

Dear All,

I have a function f(x,y,z)=exp(x^3+y^4+x^2*y+x*z^2+y/z) over D, where is D={ (x,y,z)| 0 <z<Inf, 0<y<c1*z, 0<x<c2*/y}. x,y,z are all vectors and c1 and c2 are constants. I tried the "adapt" package and I get some error. This is the error message:

"Error in function (z, y, x) : argument "x" is missing, with no default"

I included my R code. Can anyone please let me know how I can calculate the numerical integral of such a function where some of the boundaries are functions of the other variables?

fn<-function(z,y,x) {exp(x^3+y^4+x^2*y+x*z^2+y/z)} x<-runif(200);y<-runif(200);z<-runif(200); c1<-.5;c2<-5;M<-100; #M to represent infinity i1<-adapt(3,lo=c(.0001,0,0),up=c(M,c1*z,c2/y),functn=fn)$value print(i1);

Davood Tofighi

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