/*!
  \file
  \brief Probability distributions for Mixtures of pdfs
  \author Vaclav Smidl.

  -----------------------------------
  BDM++ - C++ library for Bayesian Decision Making under Uncertainty

  Using IT++ for numerical operations
  -----------------------------------
*/

#ifndef EMIX_H
#define EMIX_H

#define LOG2  0.69314718055995

#include "../shared_ptr.h"
#include "exp_family.h"

namespace bdm {

//this comes first because it is used inside emix!

/*! \brief Class representing ratio of two densities
which arise e.g. by applying the Bayes rule.
It represents density in the form:
\f[
f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)}
\f]
where \f$ f(rvc) = \int f(rv,rvc) d\ rv \f$.

In particular this type of arise by conditioning of a mixture model.

At present the only supported operation is evallogcond().
 */
class mratio: public pdf {
protected:
	//! Nominator in the form of pdf
	const epdf* nom;

	//!Denominator in the form of epdf
	shared_ptr<epdf> den;

	//!flag for destructor
	bool destroynom;
	//!datalink between conditional and nom
	datalink_m2e dl;
public:
	//!Default constructor. By default, the given epdf is not copied!
	//! It is assumed that this function will be used only temporarily.
	mratio ( const epdf* nom0, const RV &rv, bool copy = false ) : pdf ( ), dl ( ) {
		// adjust rv and rvc

		set_rv ( rv ); // TODO co kdyby tohle samo uz nastavovalo dimension?!?!
		dim = rv._dsize();

		rvc = nom0->_rv().subt ( rv );
		dimc = rvc._dsize();

		//prepare data structures
		if ( copy ) {
			bdm_error ( "todo" );
			// destroynom = true;
		} else {
			nom = nom0;
			destroynom = false;
		}
		bdm_assert_debug ( rvc.length() > 0, "Makes no sense to use this object!" );

		// build denominator
		den = nom->marginal ( rvc );
		dl.set_connection ( rv, rvc, nom0->_rv() );
	};

	double evallogcond ( const vec &val, const vec &cond ) {
		double tmp;
		vec nom_val ( dimension() + dimc );
		dl.pushup_cond ( nom_val, val, cond );
		tmp = exp ( nom->evallog ( nom_val ) - den->evallog ( cond ) );
		return tmp;
	}
	//! Object takes ownership of nom and will destroy it
	void ownnom() {
		destroynom = true;
	}
	//! Default destructor
	~mratio() {
		if ( destroynom ) {
			delete nom;
		}
	}

private:
	// not implemented
	mratio ( const mratio & );
	mratio &operator= ( const mratio & );
};

/*!
* \brief Mixture of epdfs

Density function:
\f[
f(x) = \sum_{i=1}^{n} w_{i} f_i(x), \quad \sum_{i=1}^n w_i = 1.
\f]
where \f$f_i(x)\f$ is any density on random variable \f$x\f$, called \a component,

*/
class emix : public epdf {
protected:
	//! weights of the components
	vec w;

	//! Component (epdfs)
	Array<shared_ptr<epdf> > Coms;

public:
	//! Default constructor
	emix ( ) : epdf ( ) { }

	/*!
	  \brief Set weights \c w and components \c Coms

	  Shared pointers in Coms are kept inside this instance and
	  shouldn't be modified after being passed to this method.
	*/
	void set_parameters ( const vec &w, const Array<shared_ptr<epdf> > &Coms );
    
	virtual void validate ();

	vec sample() const;

	vec mean() const;

	vec variance() const;

	double evallog ( const vec &val ) const;

	vec evallog_mat ( const mat &Val ) const;

	//! Auxiliary function that returns pdflog for each component
	mat evallog_coms ( const mat &Val ) const;

	shared_ptr<epdf> marginal ( const RV &rv ) const;
	//! Update already existing marginal density  \c target
	void marginal ( const RV &rv, emix &target ) const;
	shared_ptr<pdf> condition ( const RV &rv ) const;

	//Access methods
	//! returns a pointer to the internal mean value. Use with Care!
	vec& _w() {
		return w;
	}

	//!access function
	shared_ptr<epdf> _Coms ( int i ) {
		return Coms ( i );
	}

	void set_rv ( const RV &rv ) {
		epdf::set_rv ( rv );
		for ( int i = 0; i < Coms.length(); i++ ) {
			Coms ( i )->set_rv ( rv );
		}
	}

	//! Load from structure with elements:
	//!  \code
	//! { class='emix';
	//!   pdfs = (..., ...);     // list of pdfs in the mixture
	//!   weights = ( 0.5, 0.5 ); // weights of pdfs in the mixture
	//! }
	//! \endcode
	//!@}
	void from_setting ( const Setting &set ) {

		vec w0;
		Array<shared_ptr<epdf> > Coms0;

		UI::get ( Coms0, set, "pdfs", UI::compulsory );

		if ( !UI::get ( w0, set, "weights", UI::optional ) ) {
			int len = Coms.length();
			w0.set_length ( len );
			w0 = 1.0 / len;
		}

		// TODO asi lze nacitat primocare do w a coms, jen co bude hotovy validate()
		set_parameters ( w0, Coms0 );
		validate();
	}
};
SHAREDPTR ( emix );
UIREGISTER ( emix );

/*!
* \brief Mixture of egiws

*/
class egiwmix : public egiw {
protected:
	//! weights of the components
	vec w;
	//! Component (epdfs)
	Array<egiw*> Coms;
	//!Flag if owning Coms
	bool destroyComs;
public:
	//!Default constructor
	egiwmix ( ) : egiw ( ) {};

	//! Set weights \c w and components \c Coms
	//!By default Coms are copied inside. Parameter \c copy can be set to false if Coms live externally. Use method ownComs() if Coms should be destroyed by the destructor.
	void set_parameters ( const vec &w, const Array<egiw*> &Coms, bool copy = false );

	//!return expected value
	vec mean() const;

	//!return a sample from the density
	vec sample() const;

	//!return the expected variance
	vec variance() const;

	// TODO!!! Defined to follow ANSI and/or for future development
	void mean_mat ( mat &M, mat&R ) const {};
	double evallog_nn ( const vec &val ) const {
		return 0;
	};
	double lognc () const {
		return 0;
	}

	shared_ptr<epdf> marginal ( const RV &rv ) const;
	//! marginal density update
	void marginal ( const RV &rv, emix &target ) const;

//Access methods
	//! returns a pointer to the internal mean value. Use with Care!
	vec& _w() {
		return w;
	}
	virtual ~egiwmix() {
		if ( destroyComs ) {
			for ( int i = 0; i < Coms.length(); i++ ) {
				delete Coms ( i );
			}
		}
	}
	//! Auxiliary function for taking ownership of the Coms()
	void ownComs() {
		destroyComs = true;
	}

	//!access function
	egiw* _Coms ( int i ) {
		return Coms ( i );
	}

	void set_rv ( const RV &rv ) {
		egiw::set_rv ( rv );
		for ( int i = 0; i < Coms.length(); i++ ) {
			Coms ( i )->set_rv ( rv );
		}
	}

	//! Approximation of a GiW mix by a single GiW pdf
	egiw* approx();
};

/*! \brief Chain rule decomposition of epdf

Probability density in the form of Chain-rule decomposition:
\[
f(x_1,x_2,x_3) = f(x_1|x_2,x_3)f(x_2,x_3)f(x_3)
\]
Note that
*/
class mprod: public pdf {
private:
	Array<shared_ptr<pdf> > pdfs;

	//! Data link for each pdfs
	Array<shared_ptr<datalink_m2m> > dls;

protected:
	//! dummy epdf used only as storage for RV and dim
	epdf iepdf;

public:
	//! \brief Default constructor
	mprod() { }

	/*!\brief Constructor from list of mFacs
	*/
	mprod ( const Array<shared_ptr<pdf> > &mFacs ) {
		set_elements ( mFacs );
	}
	//! Set internal \c pdfs from given values
	void set_elements ( const Array<shared_ptr<pdf> > &mFacs );

	double evallogcond ( const vec &val, const vec &cond );

	vec evallogcond_mat ( const mat &Dt, const vec &cond );

	vec evallogcond_mat ( const Array<vec> &Dt, const vec &cond );

	//TODO smarter...
	vec samplecond ( const vec &cond ) {
		//! Ugly hack to help to discover if mpfs are not in proper order. Correct solution = check that explicitely.
		vec smp = std::numeric_limits<double>::infinity() * ones ( dimension() );
		vec smpi;
		// Hard assumption here!!! We are going backwards, to assure that samples that are needed from smp are already generated!
		for ( int i = ( pdfs.length() - 1 ); i >= 0; i-- ) {
			// generate contribution of this pdf
			smpi = pdfs ( i )->samplecond ( dls ( i )->get_cond ( smp , cond ) );
			// copy contribution of this pdf into smp
			dls ( i )->pushup ( smp, smpi );
		}
		return smp;
	}

	//! Load from structure with elements:
	//!  \code
	//! { class='mprod';
	//!   pdfs = (..., ...);     // list of pdfs in the order of chain rule
	//! }
	//! \endcode
	//!@}
	void from_setting ( const Setting &set ) {
		Array<shared_ptr<pdf> > atmp; //temporary Array
		UI::get ( atmp, set, "pdfs", UI::compulsory );
		set_elements ( atmp );
	}
};
UIREGISTER ( mprod );
SHAREDPTR ( mprod );

//! Product of independent epdfs. For dependent pdfs, use mprod.
class eprod: public epdf {
protected:
	//! Components (epdfs)
	Array<const epdf*> epdfs;
	//! Array of indeces
	Array<datalink*> dls;
public:
	//! Default constructor
	eprod () : epdfs ( 0 ), dls ( 0 ) {};
	//! Set internal
	void set_parameters ( const Array<const epdf*> &epdfs0, bool named = true ) {
		epdfs = epdfs0;//.set_length ( epdfs0.length() );
		dls.set_length ( epdfs.length() );

		bool independent = true;
		if ( named ) {
			for ( int i = 0; i < epdfs.length(); i++ ) {
				independent = rv.add ( epdfs ( i )->_rv() );
				bdm_assert_debug ( independent, "eprod:: given components are not independent." );
			}
			dim = rv._dsize();
		} else {
			dim = 0;
			for ( int i = 0; i < epdfs.length(); i++ ) {
				dim += epdfs ( i )->dimension();
			}
		}
		//
		int cumdim = 0;
		int dimi = 0;
		int i;
		for ( i = 0; i < epdfs.length(); i++ ) {
			dls ( i ) = new datalink;
			if ( named ) {
				dls ( i )->set_connection ( epdfs ( i )->_rv() , rv );
			} else {
				dimi = epdfs ( i )->dimension();
				dls ( i )->set_connection ( dimi, dim, linspace ( cumdim, cumdim + dimi - 1 ) );
				cumdim += dimi;
			}
		}
	}

	vec mean() const;

	vec variance() const;

	vec sample() const;

	double evallog ( const vec &val ) const;

	//!access function
	const epdf* operator () ( int i ) const {
		bdm_assert_debug ( i < epdfs.length(), "wrong index" );
		return epdfs ( i );
	}

	//!Destructor
	~eprod() {
		for ( int i = 0; i < epdfs.length(); i++ ) {
			delete dls ( i );
		}
	}
};


/*! \brief Mixture of pdfs with constant weights, all pdfs are of equal RV and RVC

*/
class mmix : public pdf {
protected:
	//! Component (pdfs)
	Array<shared_ptr<pdf> > Coms;
	//!weights of the components
	vec w;
public:
	//!Default constructor
	mmix() : Coms ( 0 ) { }

	//! Set weights \c w and components \c R
	void set_parameters ( const vec &w0, const Array<shared_ptr<pdf> > &Coms0 ) {
		//!\todo check if all components are OK
		Coms = Coms0;
		w = w0;

		if ( Coms0.length() > 0 ) {
			set_rv ( Coms ( 0 )->_rv() );
			dim = rv._dsize();
			set_rvc ( Coms ( 0 )->_rvc() );
			dimc = rvc._dsize();
		}
	}
	double evallogcond ( const vec &dt, const vec &cond ) {
		double ll = 0.0;
		for ( int i = 0; i < Coms.length(); i++ ) {
			ll += Coms ( i )->evallogcond ( dt, cond );
		}
		return ll;
	}

	vec samplecond ( const vec &cond );

	//! Load from structure with elements:
	//!  \code
	//! { class='mmix';
	//!   pdfs = (..., ...);     // list of pdfs in the mixture
	//!   weights = ( 0.5, 0.5 ); // weights of pdfs in the mixture
	//! }
	//! \endcode
	//!@}
	void from_setting ( const Setting &set ) {
		UI::get ( Coms, set, "pdfs", UI::compulsory );

		// TODO ma byt zde, ci ve validate()?
		if ( Coms.length() > 0 ) {
			set_rv ( Coms ( 0 )->_rv() );
			dim = rv._dsize();
			set_rvc ( Coms ( 0 )->_rvc() );
			dimc = rvc._dsize();
		}

		if ( !UI::get ( w, set, "weights", UI::optional ) ) {
			int len = Coms.length();
			w.set_length ( len );
			w = 1.0 / len;
		}
	}
};
SHAREDPTR ( mmix );
UIREGISTER ( mmix );

}
#endif //MX_H