posfunv.cpp (revision 1141)
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 * Author: David Fournier

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 * Copyright (c) 2008-2012 Regents of the University of California

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 */

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/**

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 * \file

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 * Description not yet available.

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 */

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/** \file posfunv.cpp

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  posfun(...) source code for variable arguments.

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*/

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#include <fvar.hpp>

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/**

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 * Description not yet available.

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 * \param

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  Retuns a positive function of the argument \f$x\f$ and sets a penalty for

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  \f$x<0\f$. The penalty should be added to the objective function.

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  \param x Argument, \f$x\f$.

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  \param eps Threshold, \f$\epsilon\f$,

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   a double constant containing the minimum allowed value of \f$x\f$.

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  \param  _pen The penalty value \b incremented by \f$0.01(x-\epsilon)^2 \f$

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   if \f$x<\epsilon\f$.

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  \return \f$\left\{\begin{array} {r@{\quad:\quad}l}  23  x\ge\epsilon & x\\  24  x<\epsilon & \frac{\epsilon}{2-x/\epsilon}  25  \end{array}\right.\f$

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  \ingroup misc

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 */

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dvariable posfun(const dvariable &x, const double eps, const prevariable& _pen)

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{

......
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}

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/**

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 * Description not yet available.

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 * \param

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  Retuns a positive function of the argument \f$x\f$ and sets a penalty for

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  \f$x<0\f$. The penalty should be added to the objective function.

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  \param x Argument, \f$x\f$.

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  \param eps Threshold, \f$\epsilon\f$,

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   a double constant containing the minimum allowed value of \f$x\f$.

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  \param  _pen The penalty value \b incremented by \f$0.01(x-\epsilon)^2 \f$

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   if \f$x<\epsilon\f$.

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  \return \f$\left\{\begin{array} {r@{\quad:\quad}l}  52  x\ge\epsilon & x\\  53  x<\epsilon & \frac{\epsilon}{2-x/\epsilon}  54  \end{array}\right.\f$

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  \ingroup misc

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 */

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dvariable posfun(const dvariable &x, const double eps, const dvariable& _pen)

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{

......
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}

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/**

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 * Description not yet available.

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 * \param

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  Retuns a positive function of the argument \f$x\f$ and sets a penalty for

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  \f$x<0\f$. The penalty should be added to the objective function.

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   A more coersive version.

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  \param x Argument, \f$x\f$.

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  \param eps Threshold, \f$\epsilon\f$,

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   a double constant containing the minimum allowed value of \f$x\f$.

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  \param  _pen The penalty value \b incremented by \f$0.01(x-\epsilon)^3 \f$

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   if \f$x<\epsilon\f$.

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  \return \f$\left\{\begin{array} {r@{\quad:\quad}l}  82  x\ge\epsilon & x\\  83  x<\epsilon & \frac{\epsilon}{1+x/\epsilon  84  +(x/\epsilon)^2  85  +(x/\epsilon)^3}  86  \end{array}\right.\f$

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  \ingroup misc

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 */

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dvariable posfun2(const dvariable &x, const double eps, const prevariable& _pen)

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{

......
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}

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/**

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 * Description not yet available.

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 * \param

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  Adjoint code for posfun; possibly not used.

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 */

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dvariable dfposfun(const prevariable&x,const double eps)

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{


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