File: det.dia.ref

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// =============================================================================
// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) ????-2008 - INRIA Michael Baudin
//
//  This file is distributed under the same license as the Scilab package.
// =============================================================================
function r=Err(x),r=norm(x,1),endfunction
rand('normal')
//==========================================================================
//==============================   det        ==============================
//==========================================================================
if execstr('det([1 2;3 4;5 6])','errcatch')==0 then bugmes();quit;end
//Small dimension
//Real
A=[1 1; 1 2];
if Err(det(A)-1)>10*%eps then bugmes();quit;end
[e,m]=det(A);
if e<>0 |Err(m-1)>10*%eps then bugmes();quit;end
//Complex
A=A+%i;
if Err(det(A)-1-%i)>10*%eps then bugmes();quit;end
[e,m]=det(A);
if e<>0 |Err(m-1-%i)>10*%eps then bugmes();quit;end
//Large dimension
//Real
v=rand(1,21);
A=rand(21,21); A=(triu(A,1)+diag(v))*(tril(A,-1)+diag(ones(1,21)));
if Err(det(A)-prod(v))>400000*%eps then bugmes();quit;end
[e,m]=det(A);
if Err(m*(10^e)-prod(v))>400000*%eps then bugmes();quit;end
//Complex
v=(v+rand(v)*%i)/2;
A=rand(21,21); A=(triu(A,1)+diag(v))*(tril(A,-1)+diag(ones(1,21)));
if Err(det(A)-prod(v))>10000*%eps then bugmes();quit;end
[e,m]=det(A);
if Err(m*(10^e)-prod(v))>10000*%eps then bugmes();quit;end