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// Copyright (C) 2015 - IIT Bombay - FOSSEE
//
// Author: Harpreet Singh
// Organization: FOSSEE, IIT Bombay
// Email: harpreet.mertia@gmail.com
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
// <-- JVM NOT MANDATORY -->
// <-- ENGLISH IMPOSED -->
//
// assert_close --
// Returns 1 if the two real matrices computed and expected are close,
// i.e. if the relative distance between computed and expected is lesser than epsilon.
// Arguments
// computed, expected : the two matrices to compare
// epsilon : a small number
//
function flag = assert_close ( computed, expected, epsilon )
if expected==0.0 then
shift = norm(computed-expected);
else
shift = norm(computed-expected)/norm(expected);
end
// if shift < epsilon then
// flag = 1;
// else
// flag = 0;
// end
// if flag <> 1 then pause,end
flag = assert_checktrue ( shift < epsilon );
endfunction
//
// assert_equal --
// Returns 1 if the two real matrices computed and expected are equal.
// Arguments
// computed, expected : the two matrices to compare
// epsilon : a small number
//
//function flag = assert_equal ( computed , expected )
// if computed==expected then
// flag = 1;
// else
// flag = 0;
// end
// if flag <> 1 then pause,end
//endfunction
//A simple linear least square example
C = [0.9501 0.7620 0.6153 0.4057
0.2311 0.4564 0.7919 0.9354
0.6068 0.0185 0.9218 0.9169
0.4859 0.8214 0.7382 0.4102
0.8912 0.4447 0.1762 0.8936];
d = [0.0578
0.3528
0.8131
0.0098
0.1388];
A =[0.2027 0.2721 0.7467 0.4659
0.1987 0.1988 0.4450 0.4186
0.6037 0.0152 0.9318 0.8462];
b =[0.5251
0.2026
0.6721];
Aeq = [3 5 7 9];
beq = 4;
lb = -0.1*ones(4,1);
ub = 2*ones(4,1);
[xopt,resnorm,residual,exitflag,output,lambda] = lsqlin(C,d,A,b,Aeq,beq,lb,ub)
assert_close ( xopt , [ -0.1, -0.1, 0.1599089, 0.4089598 ]' , 0.0005 );
assert_close ( residual , [-0.0352969 -0.0876228 0.3532508 -0.1452700 -0.1212324 ]' , 0.0005 );
assert_close ( resnorm , [ 0.1695104] , 0.0005 );
assert_checkequal( exitflag , int32(0) );
printf("Test Successful");
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