[227] | 1 | /*! |
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| 2 | \file |
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| 3 | \brief TR 2525 file for testing Toy Problem of mpf for Covariance Estimation |
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| 4 | \author Vaclav Smidl. |
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| 5 | |
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| 6 | \ingroup PMSM |
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| 7 | |
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| 8 | ----------------------------------- |
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| 9 | BDM++ - C++ library for Bayesian Decision Making under Uncertainty |
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| 10 | |
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| 11 | Using IT++ for numerical operations |
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| 12 | ----------------------------------- |
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| 13 | */ |
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| 14 | |
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| 15 | |
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| 16 | #include <itpp/itbase.h> |
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| 17 | #include <estim/libKF.h> |
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| 18 | #include <estim/libPF.h> |
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[234] | 19 | #include <estim/ekf_templ.h> |
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[227] | 20 | #include <stat/libFN.h> |
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| 21 | |
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| 22 | #include "pmsm.h" |
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| 23 | #include "simulator.h" |
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| 24 | #include "sim_profiles.h" |
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| 25 | |
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[254] | 26 | using namespace bdm; |
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[227] | 27 | |
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| 28 | class IMpmsm_delta : public IMpmsm { |
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| 29 | protected: |
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| 30 | vec ud; |
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| 31 | public: |
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| 32 | IMpmsm_delta() :IMpmsm(),ud ( 2 ) {ud=zeros ( 2 );}; |
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| 33 | //! Set mechanical and electrical variables |
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| 34 | |
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| 35 | void condition ( const vec &val ) {ud = val;} |
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| 36 | vec eval ( const vec &x0, const vec &u0 ) { |
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| 37 | // last state |
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| 38 | double iam = x0 ( 0 ); |
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| 39 | double ibm = x0 ( 1 ); |
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| 40 | double omm = x0 ( 2 ); |
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| 41 | double thm = x0 ( 3 ); |
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| 42 | double uam = u0 ( 0 ); |
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| 43 | double ubm = u0 ( 1 ); |
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| 44 | |
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| 45 | vec xk=zeros ( 4 ); |
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| 46 | //ia |
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| 47 | xk ( 0 ) = ( 1.0- Rs/Ls*dt ) * iam + Ypm/Ls*dt*omm * sin ( thm ) + ( uam+ud ( 0 ) ) *dt/Ls; |
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| 48 | //ib |
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| 49 | xk ( 1 ) = ( 1.0- Rs/Ls*dt ) * ibm - Ypm/Ls*dt*omm * cos ( thm ) + ( ubm+ud ( 1 ) ) *dt/Ls; |
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| 50 | //om |
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| 51 | xk ( 2 ) = omm + kp*p*p * Ypm/J*dt* ( ibm * cos ( thm )-iam * sin ( thm ) ) - p/J*dt*Mz; |
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| 52 | //th |
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| 53 | xk ( 3 ) = thm + omm*dt; // <0..2pi> |
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| 54 | if ( xk ( 3 ) >pi ) xk ( 3 )-=2*pi; |
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| 55 | if ( xk ( 3 ) <-pi ) xk ( 3 ) +=2*pi; |
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| 56 | return xk; |
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| 57 | } |
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| 58 | |
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| 59 | }; |
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| 60 | |
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| 61 | |
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| 62 | int main() { |
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| 63 | // Kalman filter |
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| 64 | int Ndat = 8000; //1e6/125 |
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| 65 | double h = 1e-6; |
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| 66 | int Nsimstep = 125; |
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| 67 | int Npart = 20; |
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| 68 | |
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| 69 | mat Rnoise = randn ( 2,Ndat ); |
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| 70 | |
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| 71 | // internal model |
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| 72 | IMpmsm fxu0; |
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| 73 | IMpmsm_delta fxu; |
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| 74 | // Rs Ls dt Fmag(Ypm) kp p J Bf(Mz) |
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| 75 | fxu.set_parameters ( 0.28, 0.003465, Nsimstep*h, 0.1989, 1.5 ,4.0, 0.04, 0.0 ); |
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| 76 | fxu0.set_parameters ( 0.28, 0.003465, Nsimstep*h, 0.1989, 1.5 ,4.0, 0.04, 0.0 ); |
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| 77 | // observation model |
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| 78 | OMpmsm hxu; |
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| 79 | |
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| 80 | vec mu0= "0.0 0.0 0.0 0.0"; |
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| 81 | vec Qdiag ( "0.7 0.7 0.01 0.0001" ); //zdenek: 0.01 0.01 0.0001 0.0001 |
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| 82 | vec Rdiag ( "0.1 0.1" ); //var(diff(xth)) = "0.034 0.034" |
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| 83 | chmat Q ( Qdiag ); |
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| 84 | chmat R ( Rdiag ); |
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| 85 | EKFCh KFE ( rx,ry,ru ); |
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| 86 | KFE.set_parameters ( &fxu0,&hxu,Q,R ); |
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| 87 | KFE.set_est ( mu0, chmat ( ones ( 4 ) ) ); |
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| 88 | |
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| 89 | RV rUd ( "{ud }", "2" ); |
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| 90 | EKFCh_cond KFEp ( rx,ry,ru,rUd ); |
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| 91 | KFEp.set_parameters ( &fxu,&hxu,Q,R ); |
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| 92 | KFEp.set_est ( mu0, chmat ( ones ( 4 ) ) ); |
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| 93 | |
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| 94 | mlnorm<ldmat> evolUd ( rUd,rUd ); |
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| 95 | MPF<EKFCh_cond> M ( rx,rUd,evolUd,evolUd,Npart,KFEp ); |
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| 96 | // initialize |
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| 97 | vec Ud0="0 0"; |
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| 98 | evolUd.set_parameters ( eye ( 2 ), vec_2 ( 0.0,0.0 ), ldmat ( 10.0*eye ( 2 ) ) ); |
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| 99 | evolUd.condition ( Ud0 ); |
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| 100 | epdf& pfinit=evolUd._epdf(); |
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| 101 | M.set_est ( pfinit ); |
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[241] | 102 | evolUd.set_parameters ( eye ( 2 ), vec_2 ( 0.0,0.0 ), ldmat ( 0.005*eye ( 2 ) ) ); |
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[227] | 103 | |
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| 104 | mat Xt=zeros ( Ndat ,4 ); //true state from simulator |
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| 105 | mat Dt=zeros ( Ndat,2+2 ); //observation |
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| 106 | mat XtE=zeros ( Ndat, 4 ); |
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| 107 | mat Qtr=zeros ( Ndat, 4 ); |
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| 108 | mat XtM=zeros ( Ndat,2+4 ); //W + x |
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| 109 | mat XtMTh=zeros ( Ndat,1 ); |
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| 110 | |
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| 111 | // SET SIMULATOR |
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| 112 | pmsmsim_set_parameters ( 0.28,0.003465,0.1989,0.0,4,1.5,0.04, 200., 3e-6, h ); |
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| 113 | vec dt ( 2 ); |
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| 114 | vec ut ( 2 ); |
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| 115 | vec xt ( 4 ); |
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| 116 | vec xtm=zeros ( 4 ); |
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| 117 | double Ww=0.0; |
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| 118 | vec vecW="1 2 4 8 4 2 0 -4 -9 -16 -4 0 0 0"; |
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| 119 | vecW*=10.0; |
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| 120 | |
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| 121 | it_file RD("tec0006ALL.it"); |
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| 122 | mat RIsx, RIsy, RUsx, RUsy; |
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| 123 | RD >> Name("Isx") >> RIsx; |
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| 124 | RD >> Name("Isy") >> RIsy; |
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| 125 | RD >> Name("Usx") >> RUsx; |
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| 126 | RD >> Name("Usy") >> RUsy; |
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| 127 | |
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| 128 | for ( int tK=1;tK<Ndat;tK++ ) { |
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| 129 | //Number of steps of a simulator for one step of Kalman |
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| 130 | for ( int ii=0; ii<Nsimstep;ii++ ) { |
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| 131 | //simulator |
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| 132 | pmsmsim_noreg_step ( RUsx(125*tK+ii) , RUsy(125*tK+ii)); |
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| 133 | }; |
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| 134 | ut ( 0 ) = RUsx(125*tK); |
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| 135 | ut ( 1 ) = RUsy(125*tK); |
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| 136 | dt ( 0 ) = RIsx(125*tK); |
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| 137 | dt ( 1 ) = RIsy(125*tK); |
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| 138 | xt = vec ( x,4 ); |
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| 139 | |
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| 140 | //estimator |
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| 141 | KFE.bayes ( concat ( dt,ut ) ); |
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| 142 | M.bayes ( concat ( dt,ut ) ); |
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| 143 | |
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| 144 | Xt.set_row ( tK, xt ); //vec from C-array |
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| 145 | Dt.set_row ( tK, concat ( dt,ut)); |
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| 146 | XtE.set_row ( tK,KFE._e()->mean() ); |
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| 147 | XtM.set_row ( tK,M._e()->mean() ); |
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| 148 | // correction for theta |
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| 149 | |
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| 150 | { |
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| 151 | double sumSin=0.0; |
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| 152 | double sumCos=0.0; |
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| 153 | vec mea ( 4 ); |
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| 154 | vec* _w; |
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| 155 | |
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| 156 | for ( int p=0; p<Npart;p++ ) { |
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| 157 | mea = M._BM ( p )->_e()->mean(); |
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| 158 | _w = M.__w(); |
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| 159 | sumSin += ( *_w ) ( p ) *sin ( mea ( 3 ) ); |
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| 160 | sumCos += ( *_w ) ( p ) *cos ( mea ( 3 ) ); |
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| 161 | } |
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| 162 | double Th = atan2 ( sumSin, sumCos ); |
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| 163 | |
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| 164 | XtMTh.set_row ( tK,vec_1 ( Th ) ); |
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| 165 | } |
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| 166 | |
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| 167 | } |
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| 168 | |
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| 169 | it_file fou ( "mpf_u_delta_real.it" ); |
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| 170 | |
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| 171 | fou << Name ( "xth" ) << Xt; |
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| 172 | fou << Name ( "Dt" ) << Dt; |
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| 173 | fou << Name ( "xthE" ) << XtE; |
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| 174 | fou << Name ( "xthM" ) << XtM; |
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| 175 | fou << Name ( "xthMTh" ) << XtMTh; |
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| 176 | //Exit program: |
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| 177 | |
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| 178 | return 0; |
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| 179 | } |
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