tan.cpp

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/*
 *    This file is part of ACADO Toolkit.
 *
 *    ACADO Toolkit -- A Toolkit for Automatic Control and Dynamic Optimization.
 *    Copyright (C) 2008-2014 by Boris Houska, Hans Joachim Ferreau,
 *    Milan Vukov, Rien Quirynen, KU Leuven.
 *    Developed within the Optimization in Engineering Center (OPTEC)
 *    under supervision of Moritz Diehl. All rights reserved.
 *
 *    ACADO Toolkit is free software; you can redistribute it and/or
 *    modify it under the terms of the GNU Lesser General Public
 *    License as published by the Free Software Foundation; either
 *    version 3 of the License, or (at your option) any later version.
 *
 *    ACADO Toolkit is distributed in the hope that it will be useful,
 *    but WITHOUT ANY WARRANTY; without even the implied warranty of
 *    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 *    Lesser General Public License for more details.
 *
 *    You should have received a copy of the GNU Lesser General Public
 *    License along with ACADO Toolkit; if not, write to the Free Software
 *    Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 *
 */



#include <acado/utils/acado_utils.hpp>
#include <acado/symbolic_operator/symbolic_operator.hpp>


double dTan(double x){
  double v1 = tan(x);
  return 1+v1*v1;
}

double ddTan(double x){
  double v1 = tan(x);
  return 2*v1*(1+v1*v1);
}

BEGIN_NAMESPACE_ACADO




Tan::Tan():UnaryOperator(){
  cName = "tan";

  fcn = &tan;
  dfcn = &dTan;
  ddfcn = &ddTan;

  operatorName = ON_TAN;

}

Tan::Tan( Operator *_argument ):UnaryOperator(_argument){
  cName = "tan";

  fcn = &tan;
  dfcn = &dTan;
  ddfcn = &ddTan;

  operatorName = ON_TAN;
}


Tan::Tan( const Tan &arg ):UnaryOperator(arg){
  cName = "tan";

  fcn = &tan;
  dfcn = &dTan;
  ddfcn = &ddTan;

  operatorName = ON_TAN;
}


Tan::~Tan(){

}


Tan& Tan::operator=( const Tan &arg ){

  UnaryOperator::operator=(arg);

  return *this;
}


returnValue Tan::evaluate( EvaluationBase *x ){

    x->Tan(*argument);
    return SUCCESSFUL_RETURN;
}

Operator* Tan::substitute( int index, const Operator *sub ){

    return new Tan( argument->substitute( index , sub ) );

}

Operator* Tan::clone() const{

    return new Tan(*this);
}

returnValue Tan::initDerivative() {

        if( initialized ) return SUCCESSFUL_RETURN;
        initialized = BT_TRUE;

        derivative = convert2TreeProjection(new Quotient( new DoubleConstant( 1.0 , NE_ONE ), new Power_Int( new Cos( argument->clone() ), 2 ) ));
        derivative2 = convert2TreeProjection(new Quotient(    new Product(
                        new DoubleConstant( 2.0 , NE_NEITHER_ONE_NOR_ZERO ),
                        new Tan(argument->clone())
        ),
                        new Power_Int( new Cos( argument->clone() ), 2 )
        ));

        return argument->initDerivative();
}


CLOSE_NAMESPACE_ACADO

// end of file.