limits are too large

i have parametrized surface equation T(u,v)=e^(u^2+v^2) i + ln(2*v) j + tan(5*u) k . I used this code to plot it in 3D but it gives error 'limits are too large '. can yu help me pls.

clc; clear all ;
M = 100 ; N = 100 ;
uinf = 100 ;  
u = linspace(0,uinf,M) ; 
v = linspace(0,2*pi,N) ; 
[U V] = meshgrid(u,v) ;
X = exp(U.^2+V.^2) ;
Y = log(2.*V) ;
Z = tan(5*U) ;
surf(X,Y,Z) ;

Answer 1

[Image Analyst]

Try this:

clc; 
clear all;
M = 100; 
N = 100;
u = linspace(0,.1,M); 
v = linspace(0,.2,N); 
[U, V] = meshgrid(u,v);
X = exp(U.^2+V.^2);
Y = log(2.*V);
Z = tan(5*U);
surf(X,Y,Z, 'EdgeColor', 'none');
xlabel('X');
ylabel('Y');
zlabel('Z');

[Kuatra Patil]

yu da real MVP

Answer 2

[Walter Roberson]

X contains values up to +infinity . Y contains values as smal as -infinity . surf() cannot draw with X and Y coordinates that large.

Your u is as large as 100 and your v is as large as 2*pi, so U^2+V^2 is as large as 10000+4*pi^2 . You take exp() of that, and that overflows. It is a number that is approximately 10^451.

Answer 3

[dpb]

K>> format short
K>> sum(X(:)>1E100)/numel(X)
ans =
    0.8499
K>> sum(X(:)>1E200)/numel(X)
ans =
    0.7848
K>> sum(X(:)>1E300)/numel(X)
ans =
    0.7383
K>> sum(X(:)>1E301)/numel(X)
ans =
    0.7371
K>> sum(X(:)>1E302)/numel(X)
ans =
    0.7362
K>> sum(X(:)>1E305)/numel(X)
ans =
    0.7344
K>> sum(X(:)>1E307)/numel(X)
ans =
    0.7334
K>> sum(isinf(X(:)))/numel(X)
ans =
    0.7329
K>> sum(isfinite(X(:)))/numel(X)
ans =
    0.2671
K>> 

Your X value is "blowing up" beyond limits of what can hold in double precision...pare down the upper limits of u,v to something reasonable.