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