/*
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[DMRG++, Version 5.]
[by G.A., Oak Ridge National Laboratory]

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*/

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

/*! \file CorrectionVectorSkeleton.h
 *
 * Common code to TargetingCorrectionVector TargetingRixs[Static and Dynamic]
 *
 */

#ifndef CORRECTION_VECTOR_SKEL_H
#define CORRECTION_VECTOR_SKEL_H

#include "ProgressIndicator.h"
#include "BLAS.h"
#include "VectorWithOffsets.h"
#include "CorrectionVectorFunction.h"
#include "ParametersForSolver.h"
#include "ParallelTriDiag.h"
#include "FreqEnum.h"
#include "NoPthreadsNg.h"
#include "TridiagRixsStatic.h"
#include "KrylovHelper.h"
#include "CorrectionVectorAction.h"

namespace Dmrg {

template<typename LanczosSolverType_,
         typename VectorWithOffsetType_,
         typename TargetingBaseType,
         typename TargetParamsType>
class CorrectionVectorSkeleton {

public:

	typedef CorrectionVectorSkeleton<LanczosSolverType_,
	VectorWithOffsetType_,
	TargetingBaseType,
	TargetParamsType> ThisType;
	typedef LanczosSolverType_ LanczosSolverType;
	typedef typename TargetingBaseType::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 typename BasisType::BlockType BlockType;
	typedef typename TargetingBaseType::WaveFunctionTransfType WaveFunctionTransfType;
	typedef typename WaveFunctionTransfType::VectorWithOffsetType VectorWithOffsetType;
	typedef typename VectorWithOffsetType::VectorType VectorType;
	typedef VectorType TargetVectorType;
	typedef typename TargetingBaseType::TargetingCommonType TargetingCommonType;
	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 TridiagRixsStatic<ModelType, LanczosSolverType, VectorWithOffsetType>
	TridiagRixsStaticType;
	typedef typename ParallelTriDiagType::MatrixComplexOrRealType MatrixComplexOrRealType;
	typedef typename ParallelTriDiagType::VectorMatrixFieldType VectorMatrixFieldType;
	typedef PsimagLite::Vector<SizeType>::Type VectorSizeType;
	typedef typename PsimagLite::Vector<VectorRealType>::Type VectorVectorRealType;
	typedef typename ModelType::InputValidatorType InputValidatorType;

	class CalcR {

	public:

		typedef CorrectionVectorAction<ComplexOrRealType, TargetParamsType> ActionType;

		CalcR(const TargetParamsType& tstStruct, RealType E0, const VectorRealType& eigs)
		    : action_(tstStruct,E0,eigs)
		{}

		const ActionType& imag() const
		{
			action_.setImag();
			return action_;
		}

		const ActionType& real() const
		{
			action_.setReal();
			return action_;
		}

	private:

		ActionType action_;
	};

	struct TypeWrapper {

		typedef typename ThisType::MatrixComplexOrRealType MatrixComplexOrRealType;
		typedef typename ThisType::VectorWithOffsetType VectorWithOffsetType;
		typedef typename ModelType::SolverParamsType SolverParamsType;
	};

	typedef KrylovHelper<typename CalcR::ActionType, TypeWrapper> KrylovHelperType;

	CorrectionVectorSkeleton(InputValidatorType& ioIn,
	                         const TargetParamsType& tstStruct,
	                         const ModelType& model,
	                         const LeftRightSuperType& lrs,
	                         const RealType& energy)
	    : ioIn_(ioIn),
	      tstStruct_(tstStruct),
	      model_(model),
	      lrs_(lrs),
	      energy_(energy),
	      progress_("CorrectionVectorSkeleton"),
	      krylovHelper_(model.params())
	{}

	void calcDynVectors(const VectorWithOffsetType& tv0,
	                    VectorWithOffsetType& tv1,
	                    VectorWithOffsetType& tv2)
	{
		const VectorWithOffsetType& phi = tv0;
		tv1 = tv2 = phi;

		VectorMatrixFieldType V(phi.sectors());
		VectorMatrixFieldType T(phi.sectors());

		VectorSizeType steps(phi.sectors());

		triDiag(phi,T,V,steps);

		VectorVectorRealType eigs(phi.sectors());

		for (SizeType ii = 0;ii < phi.sectors(); ++ii)
			PsimagLite::diag(T[ii],eigs[ii],'V');

		for (SizeType i=0;i<phi.sectors();i++) {
			VectorType sv;
			SizeType i0 = phi.sector(i);
			tv0.extract(sv,i0);
			// g.s. is included separately
			// set Aq
			//tv0.setDataInSector(sv,i0);
			// set xi
			SizeType p = lrs_.super().findPartitionNumber(phi.offset(i0));
			VectorType xi(sv.size(),0),xr(sv.size(),0);

			if (tstStruct_.algorithm() == TargetParamsType::BaseType::AlgorithmEnum::KRYLOV) {
				computeXiAndXrKrylov(xi,xr,phi,i0,V[i],T[i],eigs[i],steps[i]);
			} else {
				computeXiAndXrIndirect(xi,xr,sv,p);
			}

			tv1.setDataInSector(xi,i0);
			//set xr
			tv2.setDataInSector(xr,i0);
		}

		weightForContinuedFraction_ = PsimagLite::real(phi*phi);
	}

	void calcDynVectors(const VectorWithOffsetType& tv0,
	                    const VectorWithOffsetType& tv1,
	                    VectorWithOffsetType& tv2,
	                    VectorWithOffsetType& tv3)
	{
		VectorWithOffsetType tv4;
		calcDynVectors(tv0,tv4,tv2);
		VectorWithOffsetType tv5;
		calcDynVectors(tv1,tv5,tv3);
		tv2 += tv5;
		tv3 += (-1.0)*tv4;
	}

private:

	void computeXiAndXrIndirect(VectorType& xi,
	                            VectorType& xr,
	                            const VectorType& sv,
	                            SizeType p)
	{
		if (tstStruct_.omega().first != PsimagLite::FREQ_REAL)
			throw PsimagLite::RuntimeError("Matsubara only with KRYLOV\n");

		const RealType fakeTime = 0;
		typename ModelHelperType::Aux aux(p, lrs_);
		typename ModelType::HamiltonianConnectionType hc(lrs_,
		                                                 ModelType::modelLinks(),
		                                                 fakeTime,
		                                                 model_.superOpHelper());
		LanczosMatrixType h(model_, hc, aux);
		RealType E0 = energy_;
		CorrectionVectorFunctionType cvft(h,tstStruct_,E0);

		cvft.getXi(xi,sv);
		// make sure xr is zero
		for (SizeType i=0;i<xr.size();i++) xr[i] = 0;
		h.matrixVectorProduct(xr,xi);
		xr -= (tstStruct_.omega().second+E0)*xi;
		xr /= tstStruct_.eta();
	}

	void computeXiAndXrKrylov(VectorType& xi,
	                          VectorType& xr,
	                          const VectorWithOffsetType& phi,
	                          SizeType i0,
	                          const MatrixComplexOrRealType& V,
	                          const MatrixComplexOrRealType& T,
	                          const VectorRealType& eigs,
	                          SizeType steps)
	{
		SizeType n2 = steps;
		SizeType n = V.n_row();
		if (T.n_col()!=T.n_row()) throw PsimagLite::RuntimeError("T is not square\n");
		if (V.n_col()!=T.n_col()) throw PsimagLite::RuntimeError("V is not nxn2\n");

		typename LanczosSolverType::ParametersSolverType params(ioIn_, "Tridiag");
		bool b1 = (params.options.find("printritz") != PsimagLite::String::npos);
		if (b1) printRitz(eigs, i0);

		ComplexOrRealType zone = 1.0;
		ComplexOrRealType zzero = 0.0;

		TargetVectorType tmp(n2);
		VectorType r(n2);
		CalcR what(tstStruct_, energy_, eigs);

		krylovHelper_.calcR(r, what.imag(), T, V, phi, n2, i0);

		psimag::BLAS::GEMV('N',n2,n2,zone,&(T(0,0)),n2,&(r[0]),1,zzero,&(tmp[0]),1);

		xi.resize(n);
		psimag::BLAS::GEMV('N',n,n2,zone,&(V(0,0)),n,&(tmp[0]),1,zzero,&(xi[0]),1);

		if (CalcR::ActionType::isValueComplex()) return;

		if (model_.params().options.isSet("correctionvectorimagonly")) return;

		krylovHelper_.calcR(r, what.real(), T, V, phi, n2, i0);

		psimag::BLAS::GEMV('N',n2,n2,zone,&(T(0,0)),n2,&(r[0]),1,zzero,&(tmp[0]),1);

		xr.resize(n);
		psimag::BLAS::GEMV('N',n,n2,zone,&(V(0,0)),n,&(tmp[0]),1,zzero,&(xr[0]),1);
	}

	void triDiag(const VectorWithOffsetType& phi,
	             VectorMatrixFieldType& T,
	             VectorMatrixFieldType& V,
	             VectorSizeType& steps)
	{
		RealType fakeTime = 0;
		typedef PsimagLite::NoPthreadsNg<ParallelTriDiagType> ParallelizerType;
		ParallelizerType threadedTriDiag(PsimagLite::CodeSectionParams(1));

		ParallelTriDiagType helperTriDiag(phi,
		                                  T,
		                                  V,
		                                  steps,
		                                  lrs_,
		                                  fakeTime,
		                                  model_,
		                                  ioIn_);

		threadedTriDiag.loopCreate(helperTriDiag);
	}

	RealType dynWeightOf(VectorType& v,const VectorType& w) const
	{
		RealType sum = 0;
		for (SizeType i=0;i<v.size();i++) {
			RealType tmp = PsimagLite::real(v[i]*w[i]);
			sum += tmp*tmp;
		}
		return sum;
	}

	static void printRitz(const VectorRealType& eigs, SizeType i0)
	{
		std::cout<<"RitzEigenvalues: index="<<i0<<"|";
		const SizeType n = eigs.size();
		for (SizeType i = 0; i < n; ++i)
			std::cout<<eigs[i]<<" ";
		std::cout<<"\n";
	}

	InputValidatorType& ioIn_;
	const TargetParamsType& tstStruct_;
	const ModelType& model_;
	const LeftRightSuperType& lrs_;
	const RealType& energy_;
	PsimagLite::ProgressIndicator progress_;
	RealType weightForContinuedFraction_;
	KrylovHelperType krylovHelper_;
}; // class CorrectionVectorSkeleton

} // namespace
/*@}*/
#endif // CORRECTION_VECTOR_SKEL_H

