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//isallpass Determine whether filter is allpass
//Calling Syntax
//flag = isallpass(b,a)
//flag = isallpass(sos)
//flag = isallpass(...,tol)
// b and a are the vectors containing zero and pole coefficients respectively
//tol, tolerance is used to determine when two numbers are close enough to be considered equal.
//Author: Parthasarathi Panda
//parthasarathipanda314@gmail.com
function isall=isallpass(varargin)
//Example
//k = [1/2 1/3 1/4 1/5];
//[b,a] = latc2tf(k,'allpass');
//flag_isallpass = isallpass(b,a)
//
//OUTPUT :
// flag_isallpass =1
//b = [1/3 1/4 1/5 1];
//a=b($:-1:1);
//flag = isallpass(b,a)
//
//OUTPUT
// flag=1
//fl=isallpass(1,[1 1])
//
//OUTPUT
// fl=0
[nargout,nargin]=argn();
if (nargin==2) then
v=size(varargin(1));
if (v(2)~=6) | (v(2)==6 & v(1)==1) then
a=varargin(1);
b=varargin(2);
if type(a)~=1 | type(b)~=1 then
error('check input type');
end
v=size(a);
if length(v)>2 then
error('check input dimension');
end
v=size(b);
if length(v)>2 then
error('check input dimension');
end
[n,k]=size(a);
if k==1 then
a=a';
elseif n~=1 then
error('check input dimension');
end
[n,k]=size(b);
if k==1 then
b=b';
k=n;
elseif n~=1 then
error('check input dimension');
end
tol=0;
else
sos=varargin(1);
if type(sos)~=1 then
error('check input dimension');
end
v=size(sos);
if length(v)>2 then
error('check input dimension');
end
if v(2)~=6 then
error('no. of columns must be 6');
end
a=1;b=1;
for i=[1:v(1)]
a=convol(a,sos(1:3));
b=convol(b,sos(4:6));
end
tol=varargin(3);
if (type(tol)~=1) then
error('check input type');
end
if (size(tol)~=[1,1]) then
error('check input dimension');
end
end
elseif (nargin==1) then
tol=0;
sos=varargin(1);
if type(sos)~=1 then
error('check input dimension');
end
v=size(sos);
if length(v)>2 then
error('check input dimension');
end
if v(2)~=6 then
error('no. of columns must be 6');
end
a=1;b=1;
for i=[1:v(1)]
a=convol(a,sos(1:3));
b=convol(b,sos(4:6));
end
elseif (nargin==3) then
a=varargin(1);
b=varargin(2);
if type(a)~=1 | type(b)~=1 then
error('check input type');
end
v=size(a);
if length(v)>2 then
error('check input dimension');
end
v=size(b);
if length(v)>2 then
error('check input dimension');
end
[n,k]=size(a);
if k==1 then
a=a';
elseif n~=1 then
error('check input dimension');
end
[n,k]=size(b);
if k==1 then
b=b';
k=n;
elseif n~=1 then
error('check input dimension');
end
tol=varargin(3);
if (type(tol)~=1) then
error('check input type');
end
if (size(tol)~=[1,1]) then
error('check input dimension');
end
else
error('no. of inputs not matching');
end
poly_a=inv_coeff(a($:-1:1));
poly_b=inv_coeff(b);
gc=gcd([poly_a,poly_b]);
[r,den]=pdiv(poly_b,gc);
[r,num]=pdiv(poly_a,gc);
poles=roots(den);
zerosinv=roots(num);
//sorting the zeros and poles to facilitate comparision
[l,k]=gsort(imag(poles));
poles=poles(k);
[l,k]=gsort(real(poles));
poles=poles(k);
[l,k]=gsort(imag(poles));
zerosinv=zerosinv(k);
[l,k]=gsort(real(poles));
zerosinv=zerosinv(k);
maxerr=max((poles-conj(zerosinv)).*conj(poles-conj(zerosinv)));
if zerosinv==[] & poles==[] then
isall=1;
elseif maxerr<=tol then
isall=1;
else
isall=0;
end
endfunction
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