You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: test_trigpade.m
    path of file: ./repos/chebfun/tests/chebfun
    
    the code of the file until where you have to start completion: % Test for trigpade.m.
function pass = test_trigpade(pref)

if ( nargin < 1 )
    pref = chebfunpref();
end

% Set an error tolerance.
tol = 1.0e-12;

%% check for emptiness:
p = trigpade(chebfun);
pass(1) = isempty(p);

%%
f = chebfun(@(t) sin(pi*t), 'trig');
m = 1; n = 0;
[p, q, r] = trigpade(f, m, n);
tt = -1+2*rand(100,1);
pass(2) = length(p) <= 2*m+1;
pass(3) = length(q) <= 2*n+1;
pass(4) = norm(p./q - f, inf) < tol;
pass(5) = norm(f(tt) - r(tt), inf) < tol;
[p, q, r, s, t, u, v] = trigpade(f, m, n);
pass(6) = length(p) <= 2*m+1 && length(q) <= 2*n+1;
pass(7) = length(s) <= 2*m+1 && length(t) <= 2*n+1;
pass(8) = length(u) <= 2*m+1 && length(v) <= 2*n+1;
pass
    
function 
f = chebfun(@(t) exp(sin(pi*t)), 'trig');
m = 8;
n = 8;
[p, q, r_h] = trigpade(f, m, n);
pass(14) = norm(f-p./q, inf) < tol;
pass(15) = norm(f(tt)-r_h(tt), inf) < tol;


%% Explicitly test the case when m < n
f = chebfun(@(t) 1./(1+sin(pi*(t-.8)/2).^2), 'trig');
m = 0; n = 1;
[p, q] = trigpade(f, m, n);
pass(16) = length(p) == 1;
pass(17) = length(q) == 3;
pass(18) = norm(f-p./q, inf) < tol;

%% Test another function
f = chebfun(@(t) exp(sin(3*pi*t)+cos(pi*t)), 'trig');
m = 5; n = 15;
[p, q] = trigpade(f, m, n);
r = p./q;
pass(19) = compare_coeffs(f, r, m+n, tol);

%% And another function
fh = @(x) (-x+0.7)/(1+0.7).*(x<0.7) + (x-0.7)/(1-0.7).*(x>=0.7);
f = chebfun(fh, 1001, 'trig');
m = 5; n = 5;
[p, q] = trigpade(f, m, n);
r = p./q;
pass(20) = compare_coeffs(f, r, m + n, 100*tol);
pass(21) = length(p) <= 2*m + 1;
pass(22) = length(q) <= 2*n + 1;

%% test m < n again
m = 2; n = 7;
[p, q] = trigpade(f, m, n);
r = p./q;
pass(23) = compare_coeffs(f, r, m + n, 100*tol);
pass(24) = length(p) <= 2*m + 1;
pass(25) = length(q) <= 2*n + 1;


%% Ex 1 p. 381, Baker 1996 Pade Approximant
N = 16;
h = 1/9;k = 1/h+1;
b = 2; c = 1;
c_p = h.^(1:N).';
c_m = k.^(-N:-1).';
c_k = [c_m; b+c; c_p];
f = chebfun(c_k, 'coeffs', 'trig');
m = 1;
n = 2;
[p, q] = trigpade(f, m, n);
r = p./q;
pass(26) = norm(f-r, inf) < tol;
% degree of q should be reduced
pass(27) = length(q) == 2*(n-1)+1; 
pass(28) = length(p) == 2*m+1;


%% Test a complex valued function
f = chebfun(@(t) 1i./(1+25*sin(pi*(t+.5)/2).^2) + exp(sin(3*pi*t)+cos(pi*t)), 'trig');
m = 1; n = 3;
[p, q] = trigpade(f, m, n);
r = p./q;
pass(29) = compare_coeffs(f, r, m+n, tol);
m = 5; n = 2;
[p, q] = trigpade(f, m, n);
r = p./q;
pass(30) = compare_coeffs(f, r, m+n, tol);
end