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Lemma/Modules/FDEM1D/src/FHTKey201.cpp

FHTKey201.cpp 27KB
Историја Датотека

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  1. /* This file is part of Lemma, a geophysical modelling and inversion API.

  2.  * More information is available at http://lemmasoftware.org

  3.  */

  4. 

  5. /* This Source Code Form is subject to the terms of the Mozilla Public

  6.  * License, v. 2.0. If a copy of the MPL was not distributed with this

  7.  * file, You can obtain one at http://mozilla.org/MPL/2.0/.

  8.  */

  9. 

  10. /**

  11.  * @file

  12.  * @date      02/11/2014 03:42:53 PM

  13.  * @author    Trevor Irons (ti)

  14.  * @email     Trevor.Irons@lemmasoftware.org

  15.  * @copyright Copyright (c) 2014, Trevor Irons

  16.  */

  17. 

  18. #include "FHTKey201.h"

  19. 

  20. namespace Lemma {

  21. 

  22.     // ====================  FRIEND METHODS  =====================

  23. 

  24.     std::ostream &operator<<(std::ostream &stream, const FHTKey201 &ob) {

  25.         stream << ob.Serialize()  << "\n";

  26.         return stream;

  27.     }

  28. 

  29.     // ====================  STATIC CONST MEMBERS     ============

  30. 

  31.     const Eigen::Matrix<Real, 201, 3>  FHTKey201::WT201 =

  32.         ( Eigen::Matrix<Real, 201, 3>()   <<

  33.         // Base                   J0                      J1

  34.           4.1185887075357082e-06, 1.5020099209519960e-03, 4.7827871332506182e-10

  35.         , 4.6623077830484039e-06,-1.0381698214761684e-02,-2.9784175503440788e-09

  36.         , 5.2778064058937756e-06, 3.6840860097595164e-02, 9.7723832770897220e-09

  37.         , 5.9745606155328603e-06,-8.9903380392274704e-02,-2.2382340996085809e-08

  38.         , 6.7632974390298035e-06, 1.7082286536833860e-01, 4.0446774329470848e-08

  39.         , 7.6561600412698171e-06,-2.7115749656836280e-01,-6.1734815854553919e-08

  40.         , 8.6668946776271221e-06, 3.7649328091859574e-01, 8.3293912185608189e-08

  41.         , 9.8110623273521872e-06,-4.7220778569122657e-01,-1.0249453502284080e-07

  42.         , 1.1106278265924788e-05, 5.4778211089647089e-01, 1.1780779749909977e-07

  43.         , 1.2572483264760042e-05,-5.9823516853035097e-01,-1.2870061460834850e-07

  44.         , 1.4232250593579901e-05, 6.2345791612185331e-01, 1.3559243438349901e-07

  45.         , 1.6111133551969887e-05,-6.2650436648257724e-01,-1.3921010821521872e-07

  46.         , 1.8238058880617237e-05, 6.1197225351173345e-01, 1.4065745722769670e-07

  47.         , 2.0645772109076137e-05,-5.8470173866140451e-01,-1.4074881908375281e-07

  48.         , 2.3371341696506312e-05, 5.4911055789616858e-01, 1.4051720878600928e-07

  49.         , 2.6456729726989950e-05,-5.0878861684860843e-01,-1.4040746687777830e-07

  50.         , 2.9949437945688260e-05, 4.6652106345430200e-01, 1.4127886061686993e-07

  51.         , 3.3903239082024059e-05,-4.2426478870289325e-01,-1.4315595655055356e-07

  52.         , 3.8379004719130766e-05, 3.8339538911933357e-01, 1.4689283208027915e-07

  53.         , 4.3445642455208216e-05,-3.4472344791723936e-01,-1.5210916706348747e-07

  54.         , 4.9181156785051293e-05, 3.0876891466890510e-01, 1.5989801550138741e-07

  55.         , 5.5673850034776868e-05,-2.7570439368364807e-01,-1.6940918407911260e-07

  56.         , 6.3023681838995322e-05, 2.4562331000974616e-01, 1.8227089415749844e-07

  57.         , 7.1343808090545215e-05,-2.1839207265400126e-01,-1.9695856878603369e-07

  58.         , 8.0762323056016586e-05, 1.9393194321380827e-01, 2.1603952427106760e-07

  59.         , 9.1424231478173270e-05,-1.7198162962644575e-01,-2.3691320619292838e-07

  60.         , 1.0349368102719458e-04, 1.5242270280410272e-01, 2.6369843208466607e-07

  61.         , 1.1715648947091054e-04,-1.3494945901825492e-01,-2.9202021404039016e-07

  62.         , 1.3262300547161834e-04, 1.1946763189654602e-01, 3.2852445086324662e-07

  63.         , 1.5013134705348249e-04,-1.0565870880444576e-01,-3.6589094553627693e-07

  64.         , 1.6995106759902750e-04, 9.3482355548033913e-02, 4.1487501036863030e-07

  65.         , 1.9238730581535294e-04,-8.2612525279836244e-02,-4.6327136995173986e-07

  66.         , 2.1778548356175115e-04, 7.3077763526174969e-02, 5.2852697369750518e-07

  67.         , 2.4653662386513240e-04,-6.4536481281701225e-02,-5.9034983719954077e-07

  68.         , 2.7908337099788406e-04, 5.7096310621587334e-02, 6.7710211611560898e-07

  69.         , 3.1592680530155527e-04,-5.0384859605213800e-02,-7.5512942807901028e-07

  70.         , 3.5763415767542709e-04, 4.4599557396733047e-02, 8.7062473466409799e-07

  71.         , 4.0484754250000483e-04,-3.9316995063444334e-02,-9.6788530918130449e-07

  72.         , 4.5829384344501882e-04, 3.4838544754296139e-02, 1.1222658353725904e-06

  73.         , 5.1879590436097246e-04,-3.0664946477420088e-02,-1.2417228058919743e-06

  74.         , 5.8728519754599128e-04, 2.7221072240291456e-02, 1.4493467036899140e-06

  75.         , 6.6481616442494776e-04,-2.3901586108434601e-02,-1.5932456559208080e-06

  76.         , 7.5258244942583781e-04, 2.1281566646364738e-02, 1.8747045814274419e-06

  77.         , 8.5193527698548301e-04,-1.8612484595521447e-02,-2.0433320340041385e-06

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  81.         , 1.3989966190390965e-03,-1.1226286001060300e-02,-3.3492412032881268e-06

  82.         , 1.5836863762264436e-03, 1.0266818557930830e-02, 4.0964186613549959e-06

  83.         , 1.7927581125735061e-03,-8.6738022421653585e-03,-4.2758275751239154e-06

  84.         , 2.0294306362957340e-03, 8.1103368670848164e-03, 5.3371197552207799e-06

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  86.         , 2.6006340455800008e-03, 6.4551189810889585e-03, 6.9725766921672099e-06

  87.         , 2.9439590142573526e-03,-5.0524015117839084e-03,-6.9045562968161745e-06

  88.         , 3.3326083277104117e-03, 5.1989014270506263e-03, 9.1397025436977438e-06

  89.         , 3.7725655187922052e-03,-3.7597430078747883e-03,-8.7148373033635960e-06

  90.         , 4.2706040416570154e-03, 4.2640545165292636e-03, 1.2029590806160379e-05

  91.         , 4.8343915539089625e-03,-2.6994965688974474e-03,-1.0927976968519436e-05

  92.         , 5.4726079656493079e-03, 3.5928000560587229e-03, 1.5912526719455299e-05

  93.         , 6.1950790728715292e-03,-1.8061291289989019e-03,-1.3582559661331659e-05

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  96.         , 8.9867860248264830e-03, 2.8888297674091743e-03, 2.8384979250408712e-05

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  98.         , 1.1516206210016314e-02, 2.8125907445050334e-03, 3.8372045311188108e-05

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  189.         , 9.1598501008114988e+02,-1.7812925644382519e-05, 2.0438677474690805e-03

  190.         , 1.0369095690092008e+03, 1.5688305607849465e-05,-1.7994616759226389e-03

  191.         , 1.1737980889093292e+03,-1.3827679492110470e-05, 1.5843226896713463e-03

  192.         , 1.3287580659938624e+03, 1.2195005442258958e-05,-1.3949288614414647e-03

  193.         , 1.5041752194232211e+03,-1.0760110818279243e-05, 1.2281869708886250e-03

  194.         , 1.7027502211507524e+03, 9.4974857670959145e-06,-1.0813786997088304e-03

  195.         , 1.9275402746900081e+03,-8.3853711343938338e-06, 9.5211407460757294e-04

  196.         , 2.1820061829391980e+03, 7.4050612540713192e-06,-8.3829103020448140e-04

  197.         , 2.4700656297055034e+03,-6.5403682860228500e-06, 7.3806018220987763e-04

  198.         , 2.7961534952362003e+03, 5.7772102413267325e-06,-6.4979406671247244e-04

  199.         , 3.1652901343571971e+03,-5.1032933218796731e-06, 5.7206022901230412e-04

  200.         , 3.5831586684094545e+03, 4.5078641320869195e-06,-5.0359764543483573e-04

  201.         , 4.0561924809477755e+03,-3.9815111951817114e-06, 4.4329604122300101e-04

  202.         , 4.5916742642604040e+03, 3.5159993210292339e-06,-3.9017773206623073e-04

  203.         , 5.1978481416012310e+03,-3.1041249680128287e-06, 3.4338166974098888e-04

  204.         , 5.8840465913361650e+03, 2.7395854235553632e-06,-3.0214941633163506e-04

  205.         , 6.6608341270911405e+03,-2.4168587823583312e-06, 2.6581280850704716e-04

  206.         , 7.5401699459601114e+03, 2.1310948134441218e-06,-2.3378310479588391e-04

  207.         , 8.5355920488578286e+03,-1.8780185742021288e-06, 2.0554143583887405e-04

  208.         , 9.6624256676814348e+03, 1.6538488252707735e-06,-1.8063040107732216e-04

  209.         , 1.0938019208165191e+04,-1.4552318768651144e-06, 1.5864667598176302e-04

  210.         , 1.2382011340936813e+04, 1.2791890865306748e-06,-1.3923451235168759e-04

  211.         , 1.4016633352832258e+04,-1.1230741959148155e-06, 1.2208003098625932e-04

  212.         , 1.5867051413382505e+04, 9.8453630538596172e-07,-1.0690622166177854e-04

  213.         , 1.7961754025908867e+04,-8.6148574493190796e-07, 9.3468580362568137e-05

  214.         , 2.0332990628312182e+04, 7.5206242699701732e-07,-8.1551328581234316e-05

  215.         , 2.3017268096126892e+04,-6.5460810334682633e-07, 7.0964174631531072e-05

  216.         , 2.6055912791858576e+04, 5.6764451596029765e-07,-6.1539592468666665e-05

  217.         , 2.9495706813754354e+04,-4.8985884555184997e-07, 5.3130609116145443e-05

  218.         , 3.3389608239508460e+04, 4.2009674106879252e-07,-4.5609105983126460e-05

  219.         , 3.7797566453568354e+04,-3.5736212641225517e-07, 3.8864648584181207e-05

  220.         , 4.2787445110585410e+04, 3.0082215969939671e-07,-3.2803856352344075e-05

  221.         , 4.8436066944688770e+04,-2.4981510481639669e-07, 2.7350296775876261e-05

  222.         , 5.4830396510166145e+04, 2.0385823466866512e-07,-2.2444816150805301e-05

  223.         , 6.2068879062685897e+04,-1.6265189071584773e-07, 1.8046076281584239e-05

  224.         , 7.0262956194088882e+04, 1.2607416700611311e-07,-1.4130826937491561e-05

  225.         , 7.9538781555028458e+04,-9.4158417913450858e-08, 1.0693106849359383e-05

  226.         , 9.0039163080228551e+04, 6.7043911217063425e-08,-7.7412053314530284e-06

  227.         , 1.0192576161830177e+05,-4.4891090827293947e-08, 5.2910576443698300e-06

  228.         , 1.1538157981559623e+05, 2.7761325666544702e-08,-3.3552268362550323e-06

  229.         , 1.3061377957221285e+05,-1.5480404355710375e-08, 1.9282956206367452e-06

  230.         , 1.4785687144693290e+05, 7.5327300141098751e-09,-9.7253712572058755e-07

  231.         , 1.6737632511421290e+05,-3.0524770418657847e-09, 4.1100807632959352e-07

  232.         , 1.8947265645880660e+05, 9.5877856096830783e-10,-1.3553176263207053e-07

  233.         , 2.1448605423174356e+05,-2.0575286298055636e-10, 3.0748587523233524e-08

  234.         , 2.4280161749832361e+05, 2.2414416956474645e-11,-3.5668195345476294e-09 ).finished();

  235. 

  236.     // ====================  LIFECYCLE     =======================

  237. 

  238.     //--------------------------------------------------------------------------------------

  239.     //       Class:  FHTKey201

  240.     //      Method:  FHTKey201

  241.     // Description:  constructor (locked)

  242.     //--------------------------------------------------------------------------------------

  243.     FHTKey201::FHTKey201 (const ctor_key& key ) : HankelTransform( key ) {

  244. 

  245.     }  // -----  end of method FHTKey201::FHTKey201  (constructor)  -----

  246. 

  247.     //--------------------------------------------------------------------------------------

  248.     //       Class:  FHTKey201

  249.     //      Method:  FHTKey201

  250.     // Description:  constructor (locked)

  251.     //--------------------------------------------------------------------------------------

  252.     FHTKey201::FHTKey201( const YAML::Node& node, const ctor_key& key) : HankelTransform(node, key) {

  253. 

  254.     }

  255. 

  256.     //--------------------------------------------------------------------------------------

  257.     //       Class:  FHTKey201

  258.     //      Method:  NewSP()

  259.     // Description:  public constructor

  260.     //--------------------------------------------------------------------------------------

  261.     std::shared_ptr<FHTKey201> FHTKey201::NewSP() {

  262.         return std::make_shared<FHTKey201>( ctor_key() );

  263.     }

  264. 

  265.     //--------------------------------------------------------------------------------------

  266.     //       Class:  FHTKey201

  267.     //      Method:  ~FHTKey201

  268.     // Description:  destructor

  269.     //--------------------------------------------------------------------------------------

  270.     FHTKey201::~FHTKey201 () {

  271. 

  272.     }  // -----  end of method FHTKey201::~FHTKey201  (destructor)  -----

  273. 

  274.     //--------------------------------------------------------------------------------------

  275.     //       Class:  FHTKey201

  276.     //      Method:  DeSerialize

  277.     // Description:  Factory method, converts YAML node into object

  278.     //--------------------------------------------------------------------------------------

  279.     std::shared_ptr<FHTKey201> FHTKey201::DeSerialize( const YAML::Node& node ) {

  280.         if (node.Tag() != "FHTKey201") {

  281.             throw  DeSerializeTypeMismatch( "FHTKey201", node.Tag());

  282.         }

  283.         return std::make_shared<FHTKey201> ( node, ctor_key() );

  284.     }

  285. 

  286.     //--------------------------------------------------------------------------------------

  287.     //       Class:  FHTKey201

  288.     //      Method:  Serialize

  289.     // Description:  Converts object into Serialized version

  290.     //--------------------------------------------------------------------------------------

  291.     YAML::Node FHTKey201::Serialize() const {

  292.         YAML::Node node = HankelTransform::Serialize();

  293.         node.SetTag( GetName() );

  294.         //node["LayerConductivity"] = LayerConductivity;

  295.         return node;

  296.     }

  297. 

  298.     //--------------------------------------------------------------------------------------

  299.     //       Class:  FHTKey201

  300.     //      Method:  GetName

  301.     // Description:  Class identifier

  302.     //--------------------------------------------------------------------------------------

  303.     inline std::string FHTKey201::GetName (  ) const {

  304.         return CName;

  305.     }		// -----  end of method FHTKey201::GetName  -----

  306. 

  307.     //--------------------------------------------------------------------------------------

  308.     //       Class:  FHTKey201

  309.     //      Method:  Zgauss

  310.     //--------------------------------------------------------------------------------------

  311.     Complex FHTKey201::Zgauss ( const int &ikk, const EMMODE &imode,

  312.                             const int &itype, const Real &rho,

  313.                             const Real &wavef, KernelEM1DBase* Kernel ) {

  314.  		return Zans(0, Kernel->GetManagerIndex());

  315.     }		// -----  end of method FHTKey201::ComputeRelated  -----

  316. 

  317. 

  318.     //--------------------------------------------------------------------------------------

  319.     //       Class:  FHTKey201

  320.     //      Method:  ComputeRelated

  321.     //--------------------------------------------------------------------------------------

  322.     void FHTKey201::ComputeRelated ( const Real& rho, std::shared_ptr<KernelEM1DBase> Kernel ) {

  323.         return ;

  324.     }		// -----  end of method FHTKey201::ComputeRelated  -----

  325. 

  326.     //--------------------------------------------------------------------------------------

  327.     //       Class:  FHTKey201

  328.     //      Method:  ComputeRelated

  329.     //--------------------------------------------------------------------------------------

  330.     void FHTKey201::ComputeRelated ( const Real& rho, std::vector< std::shared_ptr<KernelEM1DBase> > KernelVec ) {

  331.         return ;

  332.     }		// -----  end of method FHTKey201::ComputeRelated  -----

  333. 

  334.     //--------------------------------------------------------------------------------------

  335.     //       Class:  FHTKey201

  336.     //      Method:  ComputeRelated

  337.     //--------------------------------------------------------------------------------------

  338.     void FHTKey201::ComputeRelated ( const Real& rho, std::shared_ptr<KernelEM1DManager> KernelManager ) {

  339. 

  340.         //kernelVec = KernelManager->GetSTLVector();

  341.         int nrel = (int)(KernelManager->GetSTLVector().size());

  342.         Eigen::Matrix<Complex, 201, Eigen::Dynamic > Zwork;

  343.         Zans= Eigen::Matrix<Complex, Eigen::Dynamic, Eigen::Dynamic>::Zero(1, nrel);

  344.         Zwork.resize(201, nrel);

  345.         VectorXr lambda = WT201.col(0).array()/rho;

  346.         int NumFun = 0;

  347.         int idx = 0;

  348. 

  349.         // Get Kernel values

  350.         for (int ir=0; ir<lambda.size(); ++ir) {

  351.             // irelated loop

  352.             ++NumFun;

  353.             KernelManager->ComputeReflectionCoeffs(lambda(ir), idx, rho);

  354.             for (int ir2=0; ir2<nrel; ++ir2) {

  355.                 // Zwork* needed due to sign convention of filter weights

  356.  			    Zwork(ir, ir2) = std::conj(KernelManager->GetSTLVector()[ir2]->RelBesselArg(lambda(ir)));

  357.             }

  358.         }

  359. 

  360.         // We diverge slightly from Key here, each kernel is evaluated seperately, whereby instead

  361.         // they prefer to sum them. The reason is that all those terms have been removed from the kernels

  362.         // in the interests of making them as generic and reusable as possible. This approach requires slightly

  363.         // more multiplies, but the same number of kernel evaluations, which is the expensive part.

  364.         // Inner product and scale

  365.         for (int ir2=0; ir2<nrel; ++ir2) {

  366.             Zans(0, ir2) = Zwork.col(ir2).dot(WT201.col(KernelManager->GetSTLVector()[ir2]->GetBesselOrder() + 1))/rho;

  367.         }

  368.         return ;

  369.     }		// -----  end of method FHTKey201::ComputeRelated  -----

  370. 

  371.     //--------------------------------------------------------------------------------------

  372.     //       Class:  FHTKey201

  373.     //      Method:  ComputeLaggedRelated

  374.     //--------------------------------------------------------------------------------------

  375.     void FHTKey201::ComputeLaggedRelated ( const Real& rho, const int& nlag, std::shared_ptr<KernelEM1DManager> KernelManager ) {

  376. 

  377.         int nrel = (int)(KernelManager->GetSTLVector().size());

  378. 

  379.         Eigen::Matrix< Complex, Eigen::Dynamic, Eigen::Dynamic > Zwork;

  380.         Zans= Eigen::Matrix<Complex, Eigen::Dynamic, Eigen::Dynamic>::Zero(nlag, nrel);

  381.         Zwork.resize(201+nlag, nrel);  // Zwork needs to be expanded to filter length + nlag

  382. 

  383.         // lambda needs to be expanded to include lagged results

  384.         VectorXr lambda = (VectorXr(201+nlag) << WT201.col(0).array()/rho, VectorXr::Zero(nlag)).finished();

  385.         for (int ilam =201; ilam< nlag+201; ++ilam) {

  386.             lambda(ilam) = lambda(ilam-1)/GetABSER();

  387.         }

  388. 

  389.         int NumFun = 0;

  390.         int idx = 0;

  391. 

  392.         VectorXr Arg(nlag);

  393.         Arg(nlag-1) = rho;

  394.         for (int ilag=nlag-2; ilag>=0; --ilag) {

  395.             Arg(ilag) = Arg(ilag+1) * GetABSER();

  396.         }

  397. 

  398.         // Get Kernel values

  399.         for (int ir=0; ir<lambda.size(); ++ir) {

  400.             // irelated loop

  401.             ++NumFun;

  402.             KernelManager->ComputeReflectionCoeffs(lambda(ir), idx, rho);

  403.             for (int ir2=0; ir2<nrel; ++ir2) {

  404.  			    Zwork(ir, ir2) = std::conj(KernelManager->GetSTLVector()[ir2]->RelBesselArg(lambda(ir)));

  405.             }

  406.         }

  407. 

  408.         // We diverge slightly from Key here, each kernel is evaluated seperately, whereby instead

  409.         // they prefer to sum them. The reason is that all those terms have been removed from the kernels

  410.         // in the interests of making them as generic and reusable as possible. This approach requires slightly

  411.         // more multiplies, but the same number of kernel evaluations, which is the expensive part.

  412.         // Inner product and scale

  413.         int ilagr = nlag-1; // Zwork is in opposite order from Arg

  414.         for (int ilag=0; ilag<nlag; ++ilag) {

  415.             for (int ir2=0; ir2<nrel; ++ir2) {

  416.                 Zans(ilagr, ir2) = Zwork.col(ir2).segment(ilag,201).dot( WT201.col(KernelManager->GetSTLVector()[ir2]->GetBesselOrder()+1) ) / Arg(ilagr);

  417.             }

  418.             ilagr -= 1;

  419.         }

  420. 

  421.         // make sure vectors are empty

  422.         splineVecReal.clear();

  423.         splineVecImag.clear();

  424. 

  425.         // Now do cubic spline

  426.         for (int ii=0; ii<Zans.cols(); ++ii) {

  427.             auto SplineR = CubicSplineInterpolator::NewSP();

  428.             SplineR->SetKnots( Arg, Zans.col(ii).real() );

  429.             splineVecReal.push_back(SplineR);

  430. 

  431.             auto SplineI = CubicSplineInterpolator::NewSP();

  432.             SplineI->SetKnots( Arg, Zans.col(ii).imag() );

  433.             splineVecImag.push_back(SplineI);

  434.         }

  435.         return ;

  436.     }		// -----  end of method FHTKey201::ComputeLaggedRelated  -----

  437. 

  438. 

  439.     //--------------------------------------------------------------------------------------

  440.     //       Class:  FHTKey201

  441.     //      Method:  GetABSER

  442.     //--------------------------------------------------------------------------------------

  443.     Real FHTKey201::GetABSER (  ) {

  444.         return WT201(0,0)/WT201(1,0);

  445.     }		// -----  end of method FHTKey201::GetABSER  -----

  446. 

  447. 

  448.     //--------------------------------------------------------------------------------------

  449.     //       Class:  FHTKey201

  450.     //      Method:  SetLaggedArg

  451.     //--------------------------------------------------------------------------------------

  452.     void FHTKey201::SetLaggedArg ( const Real& rho  ) {

  453.         for (int i=0; i<Zans.cols(); ++ i) {

  454.             Zans(0, i) = Complex( splineVecReal[i]->Interpolate(rho),

  455.                                   splineVecImag[i]->Interpolate(rho) );

  456.         }

  457.         return ;

  458.     }		// -----  end of method FHTKey201::SetLaggedArg  -----

  459. 

  460. }		// -----  end of Lemma  name  -----