[717] | 1 | |
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| 2 | #include <estim/kalman.h> |
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| 3 | |
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| 4 | using namespace bdm; |
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| 5 | |
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| 6 | //These lines are needed for use of cout and endl |
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| 7 | using std::cout; |
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| 8 | using std::endl; |
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| 9 | |
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| 10 | int main() { |
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| 11 | // Kalman filter |
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| 12 | mat A, B, C, D, R, Q, P0; |
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| 13 | vec mu0; |
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| 14 | mat Mu0;; |
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| 15 | // input from Matlab |
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| 16 | it_file fin ( "testKF.it" ); |
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| 17 | |
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| 18 | mat Dt; |
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| 19 | int Ndat; |
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| 20 | |
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| 21 | bool xxx = fin.seek ( "d" ); |
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| 22 | if ( !xxx ) { |
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| 23 | bdm_error ( "testKF.it not found" ); |
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| 24 | } |
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| 25 | fin >> Dt; |
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| 26 | fin.seek ( "A" ); |
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| 27 | fin >> A; |
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| 28 | fin.seek ( "B" ); |
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| 29 | fin >> B; |
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| 30 | fin.seek ( "C" ); |
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| 31 | fin >> C; |
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| 32 | fin.seek ( "D" ); |
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| 33 | fin >> D; |
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| 34 | fin.seek ( "R" ); |
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| 35 | fin >> R; |
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| 36 | fin.seek ( "Q" ); |
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| 37 | fin >> Q; |
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| 38 | fin.seek ( "P0" ); |
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| 39 | fin >> P0; |
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| 40 | fin.seek ( "mu0" ); |
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| 41 | fin >> Mu0; |
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| 42 | mu0 = Mu0.get_col ( 0 ); |
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| 43 | |
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| 44 | Ndat = Dt.cols(); |
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| 45 | int dimx = A.rows(); |
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| 46 | |
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| 47 | // Prepare for Kalman filters in BDM: |
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| 48 | RV rx ( "{x }", vec_1 ( A.cols() ) ); |
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| 49 | RV ru ( "{u }", vec_1 ( B.cols() ) ); |
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| 50 | RV ry ( "{y }", vec_1 ( C.rows() ) ); |
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| 51 | |
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| 52 | // // LDMAT |
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| 53 | // Kalman<ldmat> KF(rx,ry,ru); |
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| 54 | // KF.set_parameters(A,B,C,D,ldmat(R),ldmat(Q)); |
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| 55 | // KF.set_est(mu0,ldmat(P0) ); |
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| 56 | // epdf& KFep = KF.posterior(); |
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| 57 | // mat Xt(2,Ndat); |
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| 58 | // Xt.set_col( 0,KFep.mean() ); |
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| 59 | |
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| 60 | //Chol |
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| 61 | KalmanCh KF; |
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| 62 | KF.set_parameters ( A, B, C, D, chmat ( Q ), chmat ( R ) ); |
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| 63 | KF.set_statistics ( mu0, chmat ( P0 ) ); //prediction! |
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| 64 | KF.set_evalll(false); |
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| 65 | KF.validate(); |
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| 66 | const epdf& KFep = KF.posterior(); |
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| 67 | mat Xt ( dimx, Ndat ); |
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| 68 | Xt.set_col ( 0, KFep.mean() ); |
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| 69 | |
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| 70 | // FULL |
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| 71 | KalmanFull KF2; |
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| 72 | KF2.set_parameters( A, B, C, D, Q, R); |
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| 73 | KF2.set_statistics( mu0, P0 ); |
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| 74 | KF2.set_evalll(false); |
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| 75 | KF2.validate(); |
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| 76 | mat Xt2 ( dimx, Ndat ); |
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| 77 | Xt2.set_col ( 0, mu0 ); |
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| 78 | |
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| 79 | |
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| 80 | // EKF |
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| 81 | shared_ptr<bilinfn> fxu = new bilinfn ( A, B ); |
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| 82 | shared_ptr<bilinfn> hxu = new bilinfn ( C, D ); |
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| 83 | EKFCh KFE; |
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| 84 | KFE.set_parameters ( fxu, hxu, Q, R ); |
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| 85 | KFE.set_statistics ( mu0, chmat ( P0 ) ); |
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| 86 | KFE.set_evalll(false); |
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| 87 | KFE.validate(); |
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| 88 | const epdf& KFEep = KFE.posterior(); |
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| 89 | mat XtE ( dimx, Ndat ); |
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| 90 | XtE.set_col ( 0, KFEep.mean() ); |
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| 91 | |
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| 92 | //test performance of each filter |
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| 93 | Real_Timer tt; |
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| 94 | vec exec_times ( 3 ); // KF, KF2, KFE |
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| 95 | |
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| 96 | vec dt; |
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| 97 | tt.tic(); |
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| 98 | for ( int t = 1; t < Ndat; t++ ) { |
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| 99 | dt = Dt.get_col(t); |
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| 100 | KF.bayes ( dt.get(0,C.rows()-1), dt.get(C.rows(), dt.length()-1) ); |
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| 101 | Xt.set_col ( t, KFep.mean() ); |
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| 102 | } |
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| 103 | exec_times ( 0 ) = tt.toc(); |
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| 104 | |
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| 105 | tt.tic(); |
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| 106 | for ( int t = 1; t < Ndat; t++ ) { |
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| 107 | dt = Dt.get_col(t); |
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| 108 | KF2.bayes ( dt.get(0,C.rows()-1), dt.get(C.rows(), dt.length()-1) ); |
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| 109 | Xt2.set_col ( t, KF2.posterior().mean() ); |
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| 110 | } |
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| 111 | exec_times ( 1 ) = tt.toc(); |
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| 112 | |
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| 113 | tt.tic(); |
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| 114 | for ( int t = 1; t < Ndat; t++ ) { |
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| 115 | dt = Dt.get_col(t); |
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| 116 | KFE.bayes ( dt.get(0,C.rows()-1), dt.get(C.rows(), dt.length()-1) ); |
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| 117 | XtE.set_col ( t, KFEep.mean() ); |
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| 118 | } |
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| 119 | exec_times ( 2 ) = tt.toc(); |
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| 120 | |
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| 121 | |
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| 122 | it_file fou ( "testKF_res.it" ); |
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| 123 | fou << Name ( "xth" ) << Xt; |
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| 124 | fou << Name ( "xth2" ) << Xt2; |
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| 125 | fou << Name ( "xthE" ) << XtE; |
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| 126 | fou << Name ( "exec_times" ) << exec_times; |
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| 127 | //Exit program: |
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| 128 | return 0; |
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| 129 | |
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| 130 | } |
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