// 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) );