/*
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[DMRG++, Version 4.]
[by G.A., Oak Ridge National Laboratory]

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*/

/** \ingroup DMRG */
/*@{*/

/*! \file TargetingRixsDynamic.h
 *
 * Implements the targeting required by
 * RIXS Dynamic
 *
 * Must be restarted from RIXS Static
 *
 * We read from static tv[i] --> tv[i]
 *
 * the correction vectors are imag  --> tv[8]
 *                            real  --> tv[9]
 *
 */

#ifndef TARGETING_RIXS_DYNAMIC_H
#define TARGETING_RIXS_DYNAMIC_H

#include "ProgressIndicator.h"
#include "TargetParamsCorrectionVector.h"
#include "TargetParamsTimeStep.h"
#include "VectorWithOffsets.h"
#include "TargetingBase.h"
#include "ParametersForSolver.h"
#include "ParallelTriDiag.h"
#include "FreqEnum.h"
#include "CorrectionVectorSkeleton.h"

namespace Dmrg {

template<typename LanczosSolverType_, typename VectorWithOffsetType_>
class TargetingRixsDynamic : public TargetingBase<LanczosSolverType_,VectorWithOffsetType_> {

	typedef LanczosSolverType_ LanczosSolverType;
	typedef TargetingBase<LanczosSolverType,VectorWithOffsetType_> BaseType;

public:

	typedef typename BaseType::TargetingCommonType TargetingCommonType;
	typedef typename BaseType::MatrixVectorType MatrixVectorType;
	typedef typename MatrixVectorType::ModelType ModelType;
	typedef typename ModelType::RealType RealType;
	typedef typename PsimagLite::Vector<RealType>::Type VectorRealType;
	typedef typename ModelType::OperatorsType OperatorsType;
	typedef typename ModelType::ModelHelperType ModelHelperType;
	typedef typename ModelHelperType::LeftRightSuperType LeftRightSuperType;
	typedef typename LeftRightSuperType::BasisWithOperatorsType BasisWithOperatorsType;
	typedef typename BasisWithOperatorsType::OperatorType OperatorType;
	typedef typename BasisWithOperatorsType::BasisType BasisType;
	typedef typename BasisWithOperatorsType::SparseMatrixType SparseMatrixType;
	typedef typename SparseMatrixType::value_type ComplexOrRealType;
	typedef TargetParamsCorrectionVector<ModelType> TargetParamsType;
	typedef TargetParamsTimeStep<ModelType> TargetParams2Type;
	typedef typename BasisType::BlockType BlockType;
	typedef typename BaseType::WaveFunctionTransfType WaveFunctionTransfType;
	typedef typename WaveFunctionTransfType::VectorWithOffsetType VectorWithOffsetType;
	typedef typename VectorWithOffsetType::VectorType VectorType;
	typedef VectorType TargetVectorType;
	typedef typename TargetingCommonType::TimeSerializerType TimeSerializerType;
	typedef typename LanczosSolverType::TridiagonalMatrixType TridiagonalMatrixType;
	typedef PsimagLite::Matrix<typename VectorType::value_type> DenseMatrixType;
	typedef PsimagLite::Matrix<RealType> DenseMatrixRealType;
	typedef typename LanczosSolverType::PostProcType PostProcType;
	typedef typename LanczosSolverType::MatrixType LanczosMatrixType;
	typedef CorrectionVectorFunction<LanczosMatrixType,TargetParamsType>
	CorrectionVectorFunctionType;
	typedef ParallelTriDiag<ModelType,LanczosSolverType,VectorWithOffsetType>
	ParallelTriDiagType;
	typedef typename ParallelTriDiagType::MatrixComplexOrRealType MatrixComplexOrRealType;
	typedef typename ParallelTriDiagType::VectorMatrixFieldType VectorMatrixFieldType;
	typedef typename PsimagLite::Vector<SizeType>::Type VectorSizeType;
	typedef typename PsimagLite::Vector<VectorRealType>::Type VectorVectorRealType;
	typedef typename ModelType::InputValidatorType InputValidatorType;
	typedef CorrectionVectorSkeleton<LanczosSolverType,
	VectorWithOffsetType,
	BaseType,
	TargetParamsType> CorrectionVectorSkeletonType;
	typedef typename BasisType::QnType QnType;
	typedef typename TargetParamsType::BaseType::AlgorithmEnum AlgorithmEnumType;
	typedef typename TargetingCommonType::StageEnumType StageEnumType;

	TargetingRixsDynamic(const LeftRightSuperType& lrs,
	                     const ModelType& model,
	                     const WaveFunctionTransfType& wft,
	                     const QnType&,
	                     InputValidatorType& ioIn)
	    : BaseType(lrs,model,wft,1),
	      tstStruct_(ioIn, "TargetingRixsDynamic", model),
	      tstStruct2_(nullptr),
	      ioIn_(ioIn),
	      progress_("TargetingRixsDynamic"),
	      gsWeight_(1.0),
	      paramsForSolver_(ioIn,"DynamicDmrg"),
	      skeleton_(ioIn_,tstStruct_,model,lrs,this->common().aoe().energy()),
	      applied_(false),
	      appliedFirst_(false)
	{
		firstCall_ = true;

		if (!wft.isEnabled())
			err("TargetingRixsDynamic needs wft\n");

		if (tstStruct_.algorithm() == TargetParamsType::BaseType::AlgorithmEnum::KRYLOV) {
			return; // early exit here
		}

		tstStruct2_ = new TargetParams2Type(ioIn, "TargetingRixsDynamic", model);

		times_.resize(tstStruct2_->timeSteps());

		RealType tau = tstStruct2_->tau();
		SizeType n = times_.size();
		if (tstStruct_.algorithm() == TargetParamsType::BaseType::AlgorithmEnum::KRYLOVTIME) {
			if (n != 5)
				err("TargetingRixsDynamic with KrylovTime: number of TimeSteps must be 5\n");
		}

		for (SizeType i = 0; i < n; ++i)
			times_[i] = i*tau/(n - 1);

		this->common().aoe().initTimeVectors(*tstStruct2_, times_, ioIn);
	}

	~TargetingRixsDynamic()
	{
		delete tstStruct2_;
		tstStruct2_ = nullptr;
	}

	SizeType sites() const { return (tstStruct_.algorithm() ==
		                             TargetParamsType::BaseType::AlgorithmEnum::KRYLOV) ?
		            tstStruct_.sites() : tstStruct2_->sites(); }

	SizeType targets() const
	{
		const AlgorithmEnumType algo = tstStruct_.algorithm();
		if (algo == TargetParamsType::BaseType::AlgorithmEnum::KRYLOV) {
			return 10;
		} else if (algo == TargetParamsType::BaseType::AlgorithmEnum::CHEBYSHEV) {
			return 12;
		} else {
			return 16;
		}
	}

	RealType weight(SizeType i) const
	{
		assert(i < weight_.size());
		return weight_[i];
	}

	RealType gsWeight() const
	{
		return gsWeight_;
	}

	SizeType size() const
	{
		if (!applied_ && appliedFirst_) return 8;

		SizeType tenOrTwelveOrSixteen;
		const AlgorithmEnumType algo = tstStruct_.algorithm();
		if (algo == TargetParamsType::BaseType::AlgorithmEnum::KRYLOV) {
			tenOrTwelveOrSixteen = 10;
		} else if (algo == TargetParamsType::BaseType::AlgorithmEnum::CHEBYSHEV) {
			tenOrTwelveOrSixteen = 12;
		} else {
			tenOrTwelveOrSixteen = 16;
		}

		return (applied_) ? tenOrTwelveOrSixteen : 6;
	}

	// tv[6] = A^\dagger_{site} |tv[1]>
	// tv[7] = A^\dagger_{site} |tv[2]>

	// tv[8] = Re of (w*-H+i\eta)^{-1} A^\dagger_{site} |tv[6]>
	// - Im of (w*-H+i\eta)^{-1} A^\dagger_{site} |tv[7]>
	// tv[9] = Im of (w*-H+i\eta)^{-1} A^\dagger_{site} |tv[6]>
	// + Re of (w*-H+i\eta)^{-1} A^\dagger_{site} |tv[7]>
	void evolve(const VectorRealType& energies,
	            ProgramGlobals::DirectionEnum direction,
	            const BlockType& block1,
	            const BlockType& block2,
	            SizeType loopNumber)
	{
		if (block1.size()!=1 || block2.size()!=1) {
			PsimagLite::String str(__FILE__);
			str += " " + ttos(__LINE__) + "\n";
			str += "evolve only blocks of one site supported\n";
			throw PsimagLite::RuntimeError(str.c_str());
		}

		if (direction == ProgramGlobals::DirectionEnum::INFINITE) return;

		assert(energies.size() > 0);
		const RealType Eg = energies[0];
		SizeType max = tstStruct_.sites();

		if (max > 2)
			err("You cannot apply more than 2 operators (only SUM is allowed)\n");

		SizeType site = block1[0];

		this->common().aoe().wftSome(site, 0, 6);

		const AlgorithmEnumType algo = tstStruct_.algorithm();
		if (algo == TargetParamsType::BaseType::AlgorithmEnum::KRYLOV) {
			this->common().aoe().wftSome(site, 6, this->common().aoe().targetVectors().size());
		} else {
			// just to set the stage and currenttime: CHEBY and KRYLOVTIME
			this->common().aoe().getPhi(0, Eg, direction, site, loopNumber, *tstStruct2_);
		}

		if (!applied_) {
			if (max == 1)
				doMax1(site, direction, loopNumber);

			if (max == 2)
				doMax2(site, direction, loopNumber);
		}

		calcDynVectors(Eg, direction, block1); // WEIGHTS ARE SET IN calcDynVectors()

		cocoon(site, direction);

		this->common().printNormsAndWeights(gsWeight_, weight_);
	}

	void write(const VectorSizeType& block,
	           PsimagLite::IoSelector::Out& io,
	           PsimagLite::String prefix) const
	{
		this->common().write(io, block, prefix);
		this->common().writeNGSTs(io, prefix, block, "RixsDynamic");
	}

	void read(typename TargetingCommonType::IoInputType& io, PsimagLite::String prefix)
	{
		this->common().read(io, prefix);

		TimeSerializerType ts(io, prefix);
		SizeType n = ts.numberOfVectors();
		if (n != 6)
			err("TargetingRixsDynamic: number of TVs must be 6\n");

		for (SizeType site = 0; site < 6; ++site)
			this->common().aoe().targetVectors(site) = ts.vector(site);
	}

private:

	void doMax1(SizeType site,
	            ProgramGlobals::DirectionEnum direction,
	            SizeType loopNumber)
	{
		if (site == tstStruct_.sites(0)) {

			ComplexOrRealType densCim = this->common().rixsCocoon(direction,site,1,0,false);
			std::cout<<site<<" "<<densCim<<" 0"; // 0 here is the currentTime
			std::cout<<" <P1|P0> 1\n";   // 1 here is the "superdensity"

			ComplexOrRealType densCre = this->common().rixsCocoon(direction,site,2,0,false);
			std::cout<<site<<" "<<densCre<<" 0"; // 0 here is the currentTime
			std::cout<<" <P2|P0> 1\n";   // 1 here is the "superdensity"

			ComplexOrRealType densjim = this->common().rixsCocoon(direction,site,4,3,false);
			std::cout<<site<<" "<<densjim<<" 0"; // 0 here is the currentTime
			std::cout<<" <P4|P3> 1\n";   // 1 here is the "superdensity"

			ComplexOrRealType densjre = this->common().rixsCocoon(direction,site,5,3,false);
			std::cout<<site<<" "<<densjre<<" 0"; // 0 here is the currentTime
			std::cout<<" <P5|P3> 1\n";   // 1 here is the "superdensity"

			VectorWithOffsetType tmpV1;
			SizeType indexOfOperator = 0;

			applyOneOp(loopNumber,
			           indexOfOperator,
			           site,
			           tmpV1, // phiNew
			           this->common().aoe().targetVectors(1), // src1 apply op on Im|alpha(C)>
			           direction);

			const VectorWithOffsetType& psi00 = this->common().aoe().
			        ensureOnlyOnePsi(__FILE__ + PsimagLite::String("::doMax1"));
			if (tmpV1.size() > 0)
				addFactor(tmpV1, psi00, densCim);

			if (tmpV1.size() > 0)
				this->common().aoe().targetVectors(6) = tmpV1;

			VectorWithOffsetType tmpV2;

			applyOneOp(loopNumber,
			           indexOfOperator,
			           site,
			           tmpV2,                            // phiNew
			           this->common().aoe().targetVectors(2), // src1 apply op on Re|alpha(C)>
			           direction);

			if (tmpV2.size() > 0)
				addFactor(tmpV2, psi00, densCre);

			if (tmpV2.size() > 0) {
				this->common().aoe().targetVectors(7) = tmpV2;
				applied_ = true;
				PsimagLite::OstringStream msgg(std::cout.precision());
				PsimagLite::OstringStream::OstringStreamType& msg = msgg();
				msg<<"Applied";
				progress_.printline(msgg, std::cout);
			}
		}
	}

	void doMax2(SizeType site,
	            ProgramGlobals::DirectionEnum direction,
	            SizeType loopNumber)
	{

		if (site == tstStruct_.sites(0)) {
			VectorWithOffsetType tmpV1;
			SizeType indexOfOperator = 0;
			applyOneOp(loopNumber,
			           indexOfOperator,
			           site,
			           tmpV1, // phiNew
			           this->common().aoe().targetVectors(1), // src1 apply op on Im|alpha(C)>
			           direction);

			if (tmpV1.size() > 0)
				this->common().aoe().targetVectors(6) = tmpV1;

			VectorWithOffsetType tmpV2;
			applyOneOp(loopNumber,
			           indexOfOperator,
			           site,
			           tmpV2,                            // phiNew
			           this->common().aoe().targetVectors(2), // src1 apply op on Re|alpha(C)>
			           direction);

			if (tmpV2.size() > 0) {
				this->common().aoe().targetVectors(7) = tmpV2;
				applied_ = false;
				appliedFirst_ = true;
				PsimagLite::OstringStream msgg(std::cout.precision());
				PsimagLite::OstringStream::OstringStreamType& msg = msgg();
				msg<<"First Operator Applied";
				progress_.printline(msgg, std::cout);
			}
		}

		if (site == tstStruct_.sites(1)) {

			ComplexOrRealType densCim = this->common().rixsCocoon(direction,site,1,0,false);
			std::cout<<site<<" "<<densCim<<" 0"; // 0 here is the currentTime
			std::cout<<" <P1|P0> 1\n";   // 1 here is the "superdensity"

			ComplexOrRealType densCre = this->common().rixsCocoon(direction,site,2,0,false);
			std::cout<<site<<" "<<densCre<<" 0"; // 0 here is the currentTime
			std::cout<<" <P2|P0> 1\n";   // 1 here is the "superdensity"

			ComplexOrRealType densjim = this->common().rixsCocoon(direction,site,4,3,false);
			std::cout<<site<<" "<<densjim<<" 0"; // 0 here is the currentTime
			std::cout<<" <P4|P3> 1\n";   // 1 here is the "superdensity"

			ComplexOrRealType densjre = this->common().rixsCocoon(direction,site,5,3,false);
			std::cout<<site<<" "<<densjre<<" 0"; // 0 here is the currentTime
			std::cout<<" <P5|P3> 1\n";   // 1 here is the "superdensity"

			VectorWithOffsetType tmpV1;
			SizeType indexOfOperator = 1;
			applyOneOp(loopNumber,
			           indexOfOperator,
			           site,
			           tmpV1, // phiNew
			           this->common().aoe().targetVectors(1), // src1 apply op on Im|alpha(C)>
			           direction);

			const VectorWithOffsetType& psi00 = this->common().aoe().
			        ensureOnlyOnePsi(__FILE__ + PsimagLite::String("::doMax2"));

			if (tmpV1.size() > 0)
				addFactor(tmpV1, psi00, densCim);

			if (tmpV1.size() > 0)
				this->common().aoe().targetVectors(6) += tmpV1;

			VectorWithOffsetType tmpV2;
			applyOneOp(loopNumber,
			           indexOfOperator,
			           site,
			           tmpV2,                            // phiNew
			           this->common().aoe().targetVectors(2), // src1 apply op on Re|alpha(C)>
			           direction);

			if (tmpV2.size() > 0)
				addFactor(tmpV2, psi00, densCre);

			if (tmpV2.size() > 0) {
				this->common().aoe().targetVectors(7) += tmpV2;
				applied_ = true;
				PsimagLite::OstringStream msgg(std::cout.precision());
				PsimagLite::OstringStream::OstringStreamType& msg = msgg();
				msg<<"Applied";
				progress_.printline(msgg, std::cout);
			}
		}
	}

	void cocoon(SizeType site, ProgramGlobals::DirectionEnum direction) const
	{
		const AlgorithmEnumType algo = tstStruct_.algorithm();
		const bool isChevy = (algo == TargetParamsType::BaseType::AlgorithmEnum::CHEBYSHEV);

		SizeType nineOrTenOrFifteen = (isChevy) ? 10 : 15;
		SizeType eightOrEleven = (isChevy) ? 8 : 11;

		if (algo == TargetParamsType::BaseType::AlgorithmEnum::KRYLOV) {
			nineOrTenOrFifteen = 9;
			eightOrEleven = 8;
		}

		const ComplexOrRealType rr =
		        this->common().rixsCocoon(direction,site,nineOrTenOrFifteen,5,true);
		const ComplexOrRealType ri =
		        this->common().rixsCocoon(direction,site,nineOrTenOrFifteen,4,true);
		const ComplexOrRealType ir =
		        this->common().rixsCocoon(direction,site,eightOrEleven,5,true);
		const ComplexOrRealType ii =
		        this->common().rixsCocoon(direction,site,eightOrEleven,4,true);

		const RealType time = this->common().aoe().time();
		std::cout<<site<<" "<<(ri-ir)<<" "<<time; // time here is the currentTime
		std::cout<<" <gs|A|P2> 1\n";   // 1 here is the "superdensity"
		std::cout<<site<<" "<<(rr+ii)<<" "<<time; // time here is the currentTime
		std::cout<<" <gs|A|P3> 1\n";   // 1 here is the "superdensity"
	}

	void addFactor(VectorWithOffsetType& phiNew,
	               const VectorWithOffsetType& psiSrc2,
	               ComplexOrRealType factor) const
	{
		// CHECK if psiSrc2 and phiNew have the same offset!
		if (psiSrc2.offset(0) == phiNew.offset(0))
			phiNew += (-factor)*psiSrc2;

		RealType norma = norm(phiNew);
		if (norma<1e-6) {
			PsimagLite::OstringStream msgg2(std::cout.precision());
			PsimagLite::OstringStream::OstringStreamType& msg2 = msgg2();
			msg2<<"Norm of phi is zero\n";
			progress_.printline(msgg2, std::cout);
		}
	}

	void calcDynVectors(RealType Eg,
	                    ProgramGlobals::DirectionEnum direction,
	                    const VectorSizeType& block1)
	{
		if (!applied_ && appliedFirst_) {
			setWeights(8);
			return;
		}

		if (!applied_) {
			setWeights(6);
			return;
		}

		const AlgorithmEnumType algo = tstStruct_.algorithm();

		if (algo == TargetParamsType::BaseType::AlgorithmEnum::KRYLOV) {
			skeleton_.calcDynVectors(this->common().aoe().targetVectors(6),
			                         this->common().aoe().targetVectors(7),
			                         this->common().aoe().targetVectors(8),
			                         this->common().aoe().targetVectors(9));
			setWeights(10);
			firstCall_ = false; // unused here but just in case
			return;
		}

		VectorSizeType indices;
		VectorSizeType indices2;
		SizeType numberOfWeights = 0;

		if (algo == TargetParamsType::BaseType::AlgorithmEnum::CHEBYSHEV) {
			indices = {6, 8, 9};
			indices2 = {7, 10, 11};
			numberOfWeights = 12;
		} else if (algo == TargetParamsType::BaseType::AlgorithmEnum::KRYLOVTIME){
			indices = {6, 8, 9, 10, 11};
			indices2 = {7, 12, 13, 14, 15};
			numberOfWeights = 16;
		}

		assert(numberOfWeights > 0);
		assert(indices.size() > 0 && indices2.size() > 0);
		calcVectors(indices, Eg, direction, block1, !firstCall_, false);
		calcVectors(indices2, Eg, direction, block1, !firstCall_, true);
		firstCall_ = false;
		setWeights(numberOfWeights);
	}

	void calcVectors(const VectorSizeType& indices,
	                 RealType Eg,
	                 ProgramGlobals::DirectionEnum direction,
	                 const VectorSizeType& block1,
	                 bool wftOrAdvance,
	                 bool isLastCall)
	{
		bool allOperatorsApplied = (this->common().aoe().noStageIs(StageEnumType::DISABLED) &&
		                            this->common().aoe().noStageIs(StageEnumType::OPERATOR));

		const VectorWithOffsetType& v0 = this->common().aoe().targetVectors(indices[0]);

		this->common().aoe().calcTimeVectors(indices,
		                                     Eg,
		                                     v0,
		                                     direction,
		                                     allOperatorsApplied,
		                                     wftOrAdvance, // wft and advance indices[0]
		                                     block1,
		                                     isLastCall);
	}

	void applyOneOp(SizeType loopNumber,
	                SizeType indexOfOperator,
	                SizeType site,
	                VectorWithOffsetType& dest,
	                const VectorWithOffsetType& src,
	                ProgramGlobals::DirectionEnum direction)
	{
		const AlgorithmEnumType algo = tstStruct_.algorithm();

		if (algo != TargetParamsType::BaseType::AlgorithmEnum::KRYLOV)
			this->common().aoe().applyOneOperator(loopNumber,
		                                          indexOfOperator,
		                                          site,
		                                          dest, // phiNew
		                                          src, // src1
		                                          direction,
		                                          *tstStruct2_);
		else
			this->common().aoe().applyOneOperator(loopNumber,
		                                          indexOfOperator,
		                                          site,
		                                          dest, // phiNew
		                                          src, // src1
		                                          direction,
		                                          tstStruct_);
	}

	void setWeights(SizeType n)
	{
		gsWeight_ = tstStruct_.gsWeight();

		RealType sum  = n;
		weight_.resize(n, 1);

		for (SizeType r=0;r<weight_.size();r++) weight_[r] = (1.0 - gsWeight_)/sum;
	}

	TargetParamsType tstStruct_;
	TargetParams2Type* tstStruct2_;
	InputValidatorType& ioIn_;
	PsimagLite::ProgressIndicator progress_;
	RealType gsWeight_;
	VectorRealType times_;
	typename PsimagLite::Vector<RealType>::Type weight_;
	typename LanczosSolverType::ParametersSolverType paramsForSolver_;
	CorrectionVectorSkeletonType skeleton_;
	bool applied_;
	bool appliedFirst_;
	static bool firstCall_;
}; // class TargetingRixsDynamic

template<typename T1, typename T2>
bool TargetingRixsDynamic<T1, T2>::firstCall_ = true;

} // namespace
/*@}*/
#endif // TARGETING_RIXS_DYNAMIC_H
