Lemma/Modules/FDEM1D/src/FHTKey101.cpp

/* This file is part of Lemma, a geophysical modelling and inversion API.
 * More information is available at http://lemmasoftware.org
 */

/* This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at http://mozilla.org/MPL/2.0/.
 */

/**
 * @file
 * @date      02/11/2014 03:42:53 PM
 * @version   $Id$
 * @author    Trevor Irons (ti)
 * @email     Trevor.Irons@xri-geo.com
 * @copyright Copyright (c) 2014, XRI Geophysics, LLC
 * @copyright Copyright (c) 2014, Trevor Irons
 */

#include "FHTKey101.h"

namespace Lemma {

    // ====================  FRIEND METHODS  =====================

    std::ostream &operator<<(std::ostream &stream, const FHTKey101 &ob) {

        stream << *(HankelTransform*)(&ob);

        return stream;
    }


    // ====================  STATIC CONST MEMBERS     ============

    const Eigen::Matrix<Real, 101, 3>  FHTKey101::WT101 =
        ( Eigen::Matrix<Real, 101, 3>()   <<
       // Base                   J0                      J1
       5.5308437014783363e-04,   5.1818808036862153e-02,   4.1746363961646286e-06,
       6.4259236035555788e-04,  -2.9258492652779172e-01,  -2.5993370843637242e-05,
       7.4658580837667996e-04,   8.7289913080159265e-01,   9.2506838353721647e-05,
       8.6740895730700251e-04,  -1.8525183961240297e+00,  -2.4318740269846489e-04,
       1.0077854290485113e-03,   3.2096055660873608e+00,   5.2276050788732404e-04,
       1.1708796207911744e-03,  -4.9248158048315069e+00,  -9.5803859755432658e-04,
       1.3603680375478939e-03,   7.0219167445719828e+00,   1.5308357107396591e-03,
       1.5805221687362171e-03,  -9.4781099645811544e+00,  -2.1584605764249656e-03,
       1.8363047770289071e-03,   1.2098564895534539e+01,   2.7161344302423967e-03,
       2.1334817700377098e-03,  -1.4476661837664896e+01,  -3.0845361397036195e-03,
       2.4787521766663585e-03,   1.6146079632847474e+01,   3.2133980102756368e-03,
       2.8798991580882430e-03,  -1.6810370923047440e+01,  -3.1305779240645847e-03,
       3.3459654574712720e-03,   1.6506202923977266e+01,   2.9239120736637542e-03,
       3.8874572434761303e-03,  -1.5534747212675301e+01,  -2.6680602560576316e-03,
       4.5165809426126703e-03,   1.4267433361428399e+01,   2.4131379039476304e-03,
       5.2475183991813838e-03,  -1.2939053370802849e+01,  -2.1549566068119440e-03,
       6.0967465655156379e-03,   1.1628520257389562e+01,   1.9058200916563901e-03,
       7.0834089290521185e-03,  -1.0325503688577493e+01,  -1.6533122444456158e-03,
       8.2297470490200302e-03,   9.0574401975545840e+00,   1.4391633836110848e-03,
       9.5616019305435132e-03,  -7.8759096646654951e+00,  -1.2363666069459527e-03,
       1.1108996538242306e-02,   6.8446506699312666e+00,   1.0907227256323094e-03,
       1.2906812580479873e-02,  -5.9542991234257840e+00,  -9.2712769282234358e-04,
       1.4995576820477703e-02,   5.1830565431894602e+00,   8.2888526218099687e-04,
       1.7422374639493515e-02,  -4.4805481279340267e+00,  -6.7675613963809832e-04,
       2.0241911445804391e-02,   3.8608298760715378e+00,   6.3558641899842260e-04,
       2.3517745856009110e-02,  -3.3125736597743227e+00,  -4.8591507683128695e-04,
       2.7323722447292573e-02,   2.8648088091590589e+00,   5.1892328126100203e-04,
       3.1745636378067953e-02,  -2.4710577422247479e+00,  -3.3190335155472070e-04,
       3.6883167401240015e-02,   2.1450315408533416e+00,   4.6189809360776176e-04,
       4.2852126867040180e-02,  -1.8334353019592327e+00,  -1.8326476919948130e-04,
       4.9787068367863944e-02,   1.5850020809005190e+00,   4.7669939315323097e-04,
       5.7844320874838456e-02,  -1.3468969891769780e+00,  -1.7380345519175726e-05,
       6.7205512739749784e-02,   1.1802299801807625e+00,   5.9009214750893949e-04,
       7.8081666001153169e-02,  -9.9988174688478793e-01,   2.1645139320505843e-04,
       9.0717953289412512e-02,   8.8503813256539254e-01,   8.5203135609860704e-04,
       1.0539922456186433e-01,  -7.3165077099639619e-01,   5.9560990889710838e-04,
       1.2245642825298191e-01,   6.5909386165012596e-01,   1.3651107378683781e-03,
       1.4227407158651359e-01,  -5.3038429622108840e-01,   1.2606987195022564e-03,
       1.6529888822158656e-01,   5.0119791866928076e-01,   2.3131990435032663e-03,
       1.9204990862075413e-01,  -3.8269840749371159e-01,   2.4572002938857678e-03,
       2.2313016014842982e-01,   3.8622329595139565e-01,   4.0408430887840449e-03,
       2.5924026064589156e-01,  -2.6413330193320073e-01,   4.6278078809669602e-03,
       3.0119421191220208e-01,   3.0353632730294311e-01,   7.1437051276295131e-03,
       3.4993774911115533e-01,  -1.7255655176111537e-01,   8.5723466849983495e-03,
       4.0656965974059917e-01,   2.5119774955173280e-01,   1.2684763573137947e-02,
       4.7236655274101469e-01,  -9.8536724013140092e-02,   1.5643387012124067e-02,
       5.4881163609402650e-01,   2.1755876398162183e-01,   2.2480928663078600e-02,
       6.3762815162177333e-01,  -3.4268716744688760e-02,   2.8124131719595692e-02,
       7.4081822068171788e-01,   1.9925218957836366e-01,   3.9373999883133115e-02,
       8.6070797642505781e-01,   1.8319735495994052e-02,   4.9445586323210833e-02,
       1.0000000000000000e+00,   1.8963099219918259e-01,   6.7326587032714463e-02,
       1.1618342427282831e+00,   5.7228135568732394e-02,   8.3541701874077570e-02,
       1.3498588075760032e+00,   1.7266316834158107e-01,   1.0961776964853986e-01,
       1.5683121854901687e+00,   6.8141322181604499e-02,   1.3118216481048459e-01,
       1.8221188003905089e+00,   1.2468074033081850e-01,   1.6144181878027153e-01,
       2.1170000166126748e+00,   2.1678852838804014e-02,   1.7704476632134886e-01,
       2.4596031111569494e+00,   1.1114005126278175e-02,   1.9032654055463888e-01,
       2.8576511180631639e+00,  -1.0424806190544497e-01,   1.6333927603825021e-01,
       3.3201169227365472e+00,  -1.6473681128667569e-01,   1.1034442879456068e-01,
       3.8574255306969740e+00,  -2.3603153458714107e-01,  -1.1282682226217962e-02,
       4.4816890703380645e+00,  -2.2093965064386309e-01,  -1.4579378661401318e-01,
       5.2069798271798486e+00,  -7.5633542915308175e-02,  -2.7560051939484942e-01,
       6.0496474644129448e+00,   1.3358180223826097e-01,  -2.3333751023296440e-01,
       7.0286875805892928e+00,   3.3949946683489907e-01,  -5.9615109981928909e-03,
       8.1661699125676499e+00,   1.2815187347111337e-01,   3.2380356528743487e-01,
       9.4877358363585262e+00,  -2.2988301163130145e-01,   2.1970582679149839e-01,
       1.1023176380641601e+01,  -3.3425750283830036e-01,  -2.8302631898505476e-01,
       1.2807103782663029e+01,   4.4350537603751145e-01,  -2.2706962776315812e-01,
       1.4879731724872830e+01,  -8.8943820418669634e-02,   4.7351258711649669e-01,
       1.7287781840567639e+01,  -1.8646079800862164e-01,  -3.5417866045339608e-01,
       2.0085536923187668e+01,   2.4494657419883456e-01,   1.6582378621661517e-01,
       2.3336064580942711e+01,  -2.0169045144304532e-01,  -5.1221107687420810e-02,
       2.7112638920657883e+01,   1.4661206655803793e-01,   3.5484710794282063e-03,
       3.1500392308747923e+01,  -1.0564640256629308e-01,   1.1614894738175324e-02,
       3.6598234443677974e+01,   7.8487036158411266e-02,  -1.4776256489774963e-02,
       4.2521082000062783e+01,  -6.0533748554794195e-02,   1.4194293010344678e-02,
       4.9402449105530167e+01,   4.8243702864613026e-02,  -1.2609914713728791e-02,
       5.7397457045446188e+01,  -3.9347085461672239e-02,   1.0854082569077052e-02,
       6.6686331040925154e+01,   3.2489421068688185e-02,  -9.2082270347668624e-03,
       7.7478462925260828e+01,  -2.6982535264609676e-02,   7.7880648968821110e-03,
       9.0017131300521811e+01,   2.2530196869950080e-02,  -6.6089268276601255e-03,
       1.0458498557711414e+02,  -1.8947601435977172e-02,   5.6159700146012417e-03,
       1.2151041751873485e+02,   1.6017457455233256e-02,  -4.7432063636330263e-03,
       1.4117496392147686e+02,  -1.3519422964231352e-02,   3.9609893136500528e-03,
       1.6402190729990167e+02,   1.1318328695851308e-02,  -3.2753768787828126e-03,
       1.9056626845862999e+02,  -9.3839154851987506e-03,   2.6945716306237466e-03,
       2.2140641620418697e+02,   7.7256174599644543e-03,  -2.2042319512562145e-03,
       2.5723755590577474e+02,  -6.3199190181430056e-03,   1.7733135127602079e-03,
       2.9886740096706029e+02,   5.0986473606509210e-03,  -1.3773733375919272e-03,
       3.4723438047873447e+02,  -3.9929354358609528e-03,   1.0137885881408651e-03,
       4.0342879349273511e+02,   2.9783618569305080e-03,  -6.9751488719640639e-04,
       4.6871738678241655e+02,  -2.0802747552777045e-03,   4.4545125438205673e-04,
       5.4457191012592898e+02,   1.3429398653973710e-03,  -2.6373575275283686e-04,
       6.3270229281225352e+02,  -7.9345560431147465e-04,   1.4519595835116970e-04,
       7.3509518924197266e+02,   4.2530878973518046e-04,  -7.4640168948626184e-05,
       8.5405876252615155e+02,  -2.0457624610548748e-04,   3.5826939350044606e-05,
       9.9227471560502534e+02,   8.6750842046621606e-05,  -1.5854604622793124e-05,
       1.1528587427833875e+03,  -3.1406113278782205e-05,   6.2412989356183992e-06,
       1.3394307643944169e+03,   9.1385289919391839e-06,  -2.0349222128793154e-06,
       1.5561965278371533e+03,  -1.8949818224609619e-06,   4.8072849734177625e-07,
       1.8080424144560632e+03,   2.0794387557779629e-07,  -6.0462736574031818e-08).finished();

    // ====================  LIFECYCLE     =======================

    //--------------------------------------------------------------------------------------
    //       Class:  FHTKey101
    //      Method:  FHTKey101
    // Description:  constructor (protected)
    //--------------------------------------------------------------------------------------
    FHTKey101::FHTKey101 (const std::string& name) : HankelTransform(name) {

    }  // -----  end of method FHTKey101::FHTKey101  (constructor)  -----


    //--------------------------------------------------------------------------------------
    //       Class:  FHTKey101
    //      Method:  New()
    // Description:  public constructor
    //--------------------------------------------------------------------------------------
    FHTKey101* FHTKey101::New() {
        FHTKey101*  Obj = new FHTKey101("FHTKey101");
        Obj->AttachTo(Obj);
        return Obj;
    }

    //--------------------------------------------------------------------------------------
    //       Class:  FHTKey101
    //      Method:  ~FHTKey101
    // Description:  destructor (protected)
    //--------------------------------------------------------------------------------------
    FHTKey101::~FHTKey101 () {

    }  // -----  end of method FHTKey101::~FHTKey101  (destructor)  -----

    //--------------------------------------------------------------------------------------
    //       Class:  FHTKey101
    //      Method:  Delete
    // Description:  public destructor
    //--------------------------------------------------------------------------------------
    void FHTKey101::Delete() {
        this->DetachFrom(this);
    }

    //--------------------------------------------------------------------------------------
    //       Class:  FHTKey101
    //      Method:  Release
    // Description:  destructor (protected)
    //--------------------------------------------------------------------------------------
    void FHTKey101::Release() {
        delete this;
    }


    //--------------------------------------------------------------------------------------
    //       Class:  FHTKey101
    //      Method:  Zgauss
    //--------------------------------------------------------------------------------------
    Complex FHTKey101::Zgauss ( const int &ikk, const EMMODE &imode,
                            const int &itype, const Real &rho,
                            const Real &wavef, KernelEm1DBase *Kernel ) {
 		return Zans(0, Kernel->GetManagerIndex());
    }		// -----  end of method FHTKey101::ComputeRelated  -----


    //--------------------------------------------------------------------------------------
    //       Class:  FHTKey101
    //      Method:  ComputeRelated
    //--------------------------------------------------------------------------------------
    void FHTKey101::ComputeRelated ( const Real& rho, KernelEm1DBase* Kernel ) {
        return ;
    }		// -----  end of method FHTKey101::ComputeRelated  -----

    //--------------------------------------------------------------------------------------
    //       Class:  FHTKey101
    //      Method:  ComputeRelated
    //--------------------------------------------------------------------------------------
    void FHTKey101::ComputeRelated ( const Real& rho, std::vector< KernelEm1DBase* > KernelVec ) {
        return ;
    }		// -----  end of method FHTKey101::ComputeRelated  -----

    //--------------------------------------------------------------------------------------
    //       Class:  FHTKey101
    //      Method:  ComputeRelated
    //--------------------------------------------------------------------------------------
    void FHTKey101::ComputeRelated ( const Real& rho, KernelEM1DManager* KernelManager ) {

        //kernelVec = KernelManager->GetSTLVector();
        int nrel = (int)(KernelManager->GetSTLVector().size());
        Eigen::Matrix<Complex, 101, Eigen::Dynamic > Zwork;
        // TODO, if we want to allow lagged, then 1 below should be nlag
        Zans= Eigen::Matrix<Complex, Eigen::Dynamic, Eigen::Dynamic>::Zero(1, nrel);
        Zwork.resize(101, nrel);
        VectorXr lambda = WT101.col(0).array()/rho;
        int NumFun = 0;
        int idx = 0;

        // Get Kernel values
        for (int ir=0; ir<lambda.size(); ++ir) {
            // irelated loop
            ++NumFun;
            KernelManager->ComputeReflectionCoeffs(lambda(ir), idx, rho);
            for (int ir2=0; ir2<nrel; ++ir2) {
                // Zwork* needed due to sign convention of filter weights
 			    Zwork(ir, ir2) = std::conj(KernelManager->GetSTLVector()[ir2]->RelBesselArg(lambda(ir)));
            }

        }

        // We diverge slightly from Key here, each kernel is evaluated seperately, whereby instead
        // they prefer to sum them. The reason is that all those terms have been removed from the kernels
        // in the interests of making them as generic and reusable as possible. This approach requires slightly
        // more multiplies, but the same number of kernel evaluations, which is the expensive part.
        // Inner product and scale
        for (int ir2=0; ir2<nrel; ++ir2) {
            Zans(0, ir2) = Zwork.col(ir2).dot(WT101.col(KernelManager->GetSTLVector()[ir2]->GetBesselOrder() + 1))/rho;
        }

        return ;
    }		// -----  end of method FHTKey101::ComputeRelated  -----

}		// -----  end of Lemma  name  -----