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| [19] | 15 | <h1>work/mixpp/bdm/estim/libKF.h</h1><a href="libKF_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001  | 
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| [8] | 16 | <a name="l00013"></a>00013 <span class="preprocessor">#ifndef KF_H</span> | 
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 | 17 | <a name="l00014"></a>00014 <span class="preprocessor"></span><span class="preprocessor">#define KF_H</span> | 
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 | 18 | <a name="l00015"></a>00015 <span class="preprocessor"></span> | 
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 | 19 | <a name="l00016"></a>00016 <span class="preprocessor">#include <itpp/itbase.h></span> | 
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| [22] | 20 | <a name="l00017"></a>00017 <span class="preprocessor">#include "../stat/libFN.h"</span> | 
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| [19] | 21 | <a name="l00018"></a>00018 <span class="preprocessor">#include "../math/libDC.h"</span> | 
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| [8] | 22 | <a name="l00019"></a>00019  | 
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 | 23 | <a name="l00020"></a>00020  | 
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 | 24 | <a name="l00021"></a>00021 <span class="keyword">using namespace </span>itpp; | 
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 | 25 | <a name="l00022"></a>00022  | 
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 | 26 | <a name="l00026"></a><a class="code" href="classKalmanFull.html">00026</a> <span class="keyword">class </span><a class="code" href="classKalmanFull.html" title="Basic Kalman filter with full matrices (education purpose only)! Will be deleted...">KalmanFull</a> : <span class="keyword">public</span> <a class="code" href="classBM.html" title="Bayesian Model of the world, i.e. all uncertainty is modeled by probabilities.">BM</a> {  | 
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 | 27 | <a name="l00027"></a>00027         <span class="keywordtype">int</span> dimx, dimy, dimu; | 
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 | 28 | <a name="l00028"></a>00028         mat A, B, C, D, R, Q; | 
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 | 29 | <a name="l00029"></a>00029          | 
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 | 30 | <a name="l00030"></a>00030         <span class="comment">//cache </span> | 
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 | 31 | <a name="l00031"></a>00031         mat _Pp, _Ry, _iRy, _K; | 
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 | 32 | <a name="l00032"></a>00032 <span class="keyword">public</span>: | 
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 | 33 | <a name="l00033"></a>00033         <span class="comment">//posterior </span> | 
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 | 34 | <a name="l00035"></a><a class="code" href="classKalmanFull.html#fb5aec635e2720cc5ac31bc01c18a68a">00035</a> <span class="comment"></span>        vec <a class="code" href="classKalmanFull.html#fb5aec635e2720cc5ac31bc01c18a68a" title="Mean value of the posterior density.">mu</a>; | 
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 | 35 | <a name="l00037"></a><a class="code" href="classKalmanFull.html#b75dc059e84fa8ffc076203b30f926cc">00037</a>         mat <a class="code" href="classKalmanFull.html#b75dc059e84fa8ffc076203b30f926cc" title="Variance of the posterior density.">P</a>; | 
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 | 36 | <a name="l00038"></a>00038  | 
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 | 37 | <a name="l00039"></a>00039 <span class="keyword">public</span>: | 
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 | 38 | <a name="l00041"></a>00041         <a class="code" href="classKalmanFull.html#7197ab6e7380790006394eabd3b97043" title="Full constructor.">KalmanFull</a> ( mat A, mat B, mat C, mat D, mat R, mat Q, mat P0, vec mu0); | 
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 | 39 | <a name="l00043"></a>00043         <span class="keywordtype">void</span> <a class="code" href="classKalmanFull.html#048b13739b94c331cda08249b278552b" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a>(<span class="keyword">const</span> vec &dt, <span class="keywordtype">bool</span> evalll=<span class="keyword">true</span>);  | 
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 | 40 | <a name="l00044"></a>00044  | 
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 | 41 | <a name="l00045"></a>00045         <span class="keyword">friend</span> std::ostream &operator<< ( std::ostream &os, <span class="keyword">const</span> <a class="code" href="classKalmanFull.html" title="Basic Kalman filter with full matrices (education purpose only)! Will be deleted...">KalmanFull</a> &kf ); | 
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 | 42 | <a name="l00046"></a>00046  | 
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 | 43 | <a name="l00047"></a>00047 }; | 
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 | 44 | <a name="l00048"></a>00048  | 
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 | 45 | <a name="l00049"></a>00049  | 
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 | 46 | <a name="l00053"></a>00053 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
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| [22] | 47 | <a name="l00054"></a><a class="code" href="classKalman.html">00054</a> <span class="keyword">class </span><a class="code" href="classKalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a> : <span class="keyword">public</span> <a class="code" href="classBM.html" title="Bayesian Model of the world, i.e. all uncertainty is modeled by probabilities.">BM</a> {  | 
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 | 48 | <a name="l00055"></a>00055 <span class="keyword">protected</span>: | 
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 | 49 | <a name="l00056"></a>00056         <span class="keywordtype">int</span> dimx, dimy, dimu; | 
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 | 50 | <a name="l00057"></a>00057         mat A, B, C, D; | 
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 | 51 | <a name="l00058"></a>00058         sq_T R, Q; | 
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 | 52 | <a name="l00059"></a>00059          | 
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 | 53 | <a name="l00060"></a>00060         <span class="comment">//cache</span> | 
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 | 54 | <a name="l00061"></a>00061         mat _K; | 
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 | 55 | <a name="l00062"></a>00062         vec _yp; | 
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 | 56 | <a name="l00063"></a>00063         sq_T _Ry,_iRy; | 
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 | 57 | <a name="l00064"></a>00064 <span class="keyword">public</span>: | 
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 | 58 | <a name="l00065"></a>00065         <span class="comment">//posterior </span> | 
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 | 59 | <a name="l00067"></a><a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed">00067</a> <span class="comment"></span>        vec <a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a>; | 
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 | 60 | <a name="l00069"></a><a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3">00069</a>         sq_T <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a>; | 
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 | 61 | <a name="l00070"></a>00070  | 
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 | 62 | <a name="l00071"></a>00071 <span class="keyword">public</span>: | 
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 | 63 | <a name="l00073"></a>00073         <a class="code" href="classKalman.html#96958a5ebfa966d892137987f265083a" title="Default constructor.">Kalman</a> (<span class="keywordtype">int</span> dimx, <span class="keywordtype">int</span> dimu, <span class="keywordtype">int</span> dimy); | 
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 | 64 | <a name="l00075"></a>00075         <a class="code" href="classKalman.html#96958a5ebfa966d892137987f265083a" title="Default constructor.">Kalman</a> ( mat A0, mat B0, mat C0, mat D0, sq_T R0, sq_T Q0, sq_T P0, vec mu0 ); | 
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 | 65 | <a name="l00077"></a>00077         <span class="keywordtype">void</span> <a class="code" href="classKalman.html#e945d9205ca14acbd83ba80ea6f72b8e" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a>(<span class="keyword">const</span> vec &dt, <span class="keywordtype">bool</span> evalll=<span class="keyword">true</span>);  | 
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 | 66 | <a name="l00078"></a>00078  | 
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 | 67 | <a name="l00079"></a>00079         <span class="keyword">friend</span> std::ostream &operator<< ( std::ostream &os, <span class="keyword">const</span> <a class="code" href="classKalmanFull.html" title="Basic Kalman filter with full matrices (education purpose only)! Will be deleted...">KalmanFull</a> &kf ); | 
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 | 68 | <a name="l00080"></a>00080  | 
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 | 69 | <a name="l00081"></a>00081 }; | 
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 | 70 | <a name="l00082"></a>00082  | 
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 | 71 | <a name="l00088"></a>00088 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
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 | 72 | <a name="l00089"></a><a class="code" href="classEKF.html">00089</a> <span class="keyword">class </span><a class="code" href="classEKF.html" title="Extended Kalman Filter.">EKF</a> : <span class="keyword">public</span> <a class="code" href="classKalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><fsqmat> { | 
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 | 73 | <a name="l00091"></a>00091         <a class="code" href="classdiffbifn.html" title="Class representing a differentiable function of two variables $f(x,u)$.">diffbifn</a> fxu; | 
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 | 74 | <a name="l00093"></a>00093         <a class="code" href="classdiffbifn.html" title="Class representing a differentiable function of two variables $f(x,u)$.">diffbifn</a> hxu; | 
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 | 75 | <a name="l00094"></a>00094 <span class="keyword">public</span>:  | 
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 | 76 | <a name="l00096"></a>00096         <a class="code" href="classEKF.html#ec441d41529eeae4a1309426386b4a10" title="Default constructor.">EKF</a> (<span class="keyword">const</span> <a class="code" href="classdiffbifn.html" title="Class representing a differentiable function of two variables $f(x,u)$.">diffbifn</a> fxu, <span class="keyword">const</span> <a class="code" href="classdiffbifn.html" title="Class representing a differentiable function of two variables $f(x,u)$.">diffbifn</a> hxu); | 
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 | 77 | <a name="l00098"></a>00098         <span class="keywordtype">void</span> <a class="code" href="classEKF.html#fb0a08463f14e5584344ea2df99fe747" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a>(<span class="keyword">const</span> vec &dt, <span class="keywordtype">bool</span> evalll=<span class="keyword">true</span>);     | 
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 | 78 | <a name="l00099"></a>00099 }; | 
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 | 79 | <a name="l00100"></a>00100  | 
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 | 80 | <a name="l00102"></a>00102  | 
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 | 81 | <a name="l00103"></a>00103 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
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 | 82 | <a name="l00104"></a><a class="code" href="classKalman.html#96958a5ebfa966d892137987f265083a">00104</a> <a class="code" href="classKalman.html#96958a5ebfa966d892137987f265083a" title="Default constructor.">Kalman<sq_T>::Kalman</a>( <span class="keywordtype">int</span> dx, <span class="keywordtype">int</span> du, <span class="keywordtype">int</span> dy): <a class="code" href="classBM.html" title="Bayesian Model of the world, i.e. all uncertainty is modeled by probabilities.">BM</a>(), dimx(dx),dimy(dy),dimu(du){ | 
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 | 83 | <a name="l00105"></a>00105         A = mat(dimx,dimx); | 
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 | 84 | <a name="l00106"></a>00106         B = mat(dimx,dimu); | 
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 | 85 | <a name="l00107"></a>00107         C = mat(dimy,dimx); | 
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 | 86 | <a name="l00108"></a>00108         D = mat(dimy,dimu); | 
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 | 87 | <a name="l00109"></a>00109  | 
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 | 88 | <a name="l00110"></a>00110         <a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a> = vec(dimx); | 
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 | 89 | <a name="l00111"></a>00111         <span class="comment">//TODO Initialize the rest?</span> | 
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 | 90 | <a name="l00112"></a>00112 }; | 
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 | 91 | <a name="l00113"></a>00113  | 
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 | 92 | <a name="l00114"></a>00114 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
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 | 93 | <a name="l00115"></a><a class="code" href="classKalman.html#83118f4bd2ecbc70b03cfd573088ed6f">00115</a> <a class="code" href="classKalman.html#96958a5ebfa966d892137987f265083a" title="Default constructor.">Kalman<sq_T>::Kalman</a>(<span class="keyword">const</span>  mat A0,<span class="keyword">const</span>  mat B0, <span class="keyword">const</span> mat C0, <span class="keyword">const</span> mat D0, <span class="keyword">const</span> sq_T R0, <span class="keyword">const</span> sq_T Q0, <span class="keyword">const</span> sq_T P0, <span class="keyword">const</span> vec mu0 ): <a class="code" href="classBM.html" title="Bayesian Model of the world, i.e. all uncertainty is modeled by probabilities.">BM</a>() { | 
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 | 94 | <a name="l00116"></a>00116         dimx = A0.rows(); | 
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 | 95 | <a name="l00117"></a>00117         dimu = B0.cols(); | 
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 | 96 | <a name="l00118"></a>00118         dimy = C0.rows(); | 
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 | 97 | <a name="l00119"></a>00119  | 
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 | 98 | <a name="l00120"></a>00120         it_assert_debug( A0.cols()==dimx, <span class="stringliteral">"Kalman: A is not square"</span> ); | 
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 | 99 | <a name="l00121"></a>00121         it_assert_debug( B0.rows()==dimx, <span class="stringliteral">"Kalman: B is not compatible"</span> ); | 
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 | 100 | <a name="l00122"></a>00122         it_assert_debug( C0.cols()==dimx, <span class="stringliteral">"Kalman: C is not square"</span> ); | 
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 | 101 | <a name="l00123"></a>00123         it_assert_debug(( D0.rows()==dimy ) || ( D0.cols()==dimu ),     <span class="stringliteral">"Kalman: D is not compatible"</span> ); | 
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 | 102 | <a name="l00124"></a>00124         it_assert_debug(( R0.cols()==dimy ) || ( R0.rows()==dimy ), <span class="stringliteral">"Kalman: R is not compatible"</span> ); | 
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 | 103 | <a name="l00125"></a>00125         it_assert_debug(( Q0.cols()==dimx ) || ( Q0.rows()==dimx ), <span class="stringliteral">"Kalman: Q is not compatible"</span> ); | 
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 | 104 | <a name="l00126"></a>00126  | 
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 | 105 | <a name="l00127"></a>00127         A = A0; | 
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 | 106 | <a name="l00128"></a>00128         B = B0; | 
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 | 107 | <a name="l00129"></a>00129         C = C0; | 
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 | 108 | <a name="l00130"></a>00130         D = D0; | 
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 | 109 | <a name="l00131"></a>00131         R = R0; | 
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 | 110 | <a name="l00132"></a>00132         Q = Q0; | 
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 | 111 | <a name="l00133"></a>00133         <a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a> = mu0; | 
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 | 112 | <a name="l00134"></a>00134         <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a> = P0; | 
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 | 113 | <a name="l00135"></a>00135  | 
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 | 114 | <a name="l00136"></a>00136 <span class="comment">//Fixme should we assign cache??</span> | 
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 | 115 | <a name="l00137"></a>00137         _iRy = eye(dimy); <span class="comment">// needed in inv(_iRy)</span> | 
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 | 116 | <a name="l00138"></a>00138 } | 
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| [8] | 117 | <a name="l00139"></a>00139  | 
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| [22] | 118 | <a name="l00140"></a>00140 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
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 | 119 | <a name="l00141"></a><a class="code" href="classKalman.html#e945d9205ca14acbd83ba80ea6f72b8e">00141</a> <span class="keywordtype">void</span> <a class="code" href="classKalman.html#e945d9205ca14acbd83ba80ea6f72b8e" title="Here dt = [yt;ut] of appropriate dimensions.">Kalman<sq_T>::bayes</a>( <span class="keyword">const</span> vec &dt , <span class="keywordtype">bool</span> evalll) { | 
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 | 120 | <a name="l00142"></a>00142         it_assert_debug( dt.length()==( dimy+dimu ),<span class="stringliteral">"KalmanFull::bayes wrong size of dt"</span> ); | 
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 | 121 | <a name="l00143"></a>00143  | 
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 | 122 | <a name="l00144"></a>00144         vec u = dt.get( dimy,dimy+dimu-1 ); | 
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 | 123 | <a name="l00145"></a>00145         vec y = dt.get( 0,dimy-1 ); | 
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 | 124 | <a name="l00146"></a>00146         <span class="comment">//Time update</span> | 
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 | 125 | <a name="l00147"></a>00147         <a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a> = A*<a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a> + B*u; | 
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 | 126 | <a name="l00148"></a>00148         <span class="comment">//P  = A*P*A.transpose() + Q; in sq_T</span> | 
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 | 127 | <a name="l00149"></a>00149         <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a>.mult_sym( A ); | 
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 | 128 | <a name="l00150"></a>00150         <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a>+=Q; | 
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 | 129 | <a name="l00151"></a>00151  | 
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 | 130 | <a name="l00152"></a>00152         <span class="comment">//Data update</span> | 
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 | 131 | <a name="l00153"></a>00153         <span class="comment">//_Ry = C*P*C.transpose() + R; in sq_T</span> | 
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 | 132 | <a name="l00154"></a>00154         _Ry.mult_sym( C, <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a>); | 
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 | 133 | <a name="l00155"></a>00155         _Ry+=R; | 
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 | 134 | <a name="l00156"></a>00156  | 
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 | 135 | <a name="l00157"></a>00157         mat Pfull = <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a>.to_mat(); | 
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 | 136 | <a name="l00158"></a>00158          | 
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 | 137 | <a name="l00159"></a>00159         _Ry.inv( _iRy ); <span class="comment">// result is in _iRy;</span> | 
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 | 138 | <a name="l00160"></a>00160         _K = Pfull*C.transpose()*(_iRy.to_mat()); | 
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 | 139 | <a name="l00161"></a>00161         <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a> -= _K*C*Pfull; <span class="comment">// P = P -KCP;</span> | 
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 | 140 | <a name="l00162"></a>00162         _yp = y-C*<a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a>-D*u; <span class="comment">//y prediction</span> | 
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 | 141 | <a name="l00163"></a>00163         <a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a> += _K*( _yp ); | 
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 | 142 | <a name="l00164"></a>00164          | 
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 | 143 | <a name="l00165"></a>00165         <span class="keywordflow">if</span> (evalll==<span class="keyword">true</span>) { | 
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 | 144 | <a name="l00166"></a>00166         <a class="code" href="classBM.html#5623fef6572a08c2b53b8c87b82dc979" title="Logarithm of marginalized data likelihood.">ll</a>+= -0.5*(_Ry.cols()*0.79817986835811504957 \ | 
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 | 145 | <a name="l00167"></a>00167         +_Ry.logdet() +_iRy.qform(_yp)); | 
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 | 146 | <a name="l00168"></a>00168         } | 
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 | 147 | <a name="l00169"></a>00169 }; | 
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 | 148 | <a name="l00170"></a>00170  | 
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 | 149 | <a name="l00171"></a>00171  | 
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 | 150 | <a name="l00172"></a>00172 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
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 | 151 | <a name="l00173"></a><a class="code" href="classEKF.html#ec441d41529eeae4a1309426386b4a10">00173</a> <a class="code" href="classEKF.html#ec441d41529eeae4a1309426386b4a10" title="Default constructor.">EKF<sq_T>::EKF</a>(<span class="keyword">const</span> <a class="code" href="classdiffbifn.html" title="Class representing a differentiable function of two variables $f(x,u)$.">diffbifn</a> fxu0, <span class="keyword">const</span> <a class="code" href="classdiffbifn.html" title="Class representing a differentiable function of two variables $f(x,u)$.">diffbifn</a> hxu0): fxu(fxu0), hxu(hxu0),<a class="code" href="classKalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><<a class="code" href="classfsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a>>(fxu0._dimx(),fxu0._dimu(),hxu0._dimy()) { | 
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 | 152 | <a name="l00174"></a>00174                  | 
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 | 153 | <a name="l00175"></a>00175                 <span class="comment">//initialize matrices A C, later, these will be only updated!</span> | 
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 | 154 | <a name="l00176"></a>00176                 fxu.<a class="code" href="classdiffbifn.html#6d217a02d4fa13931258d4bebdd0feb4" title="Evaluates  and writes result into A .">dfdx_cond</a>(<a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a>,zeros(dimu),A,<span class="keyword">true</span>); | 
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 | 155 | <a name="l00177"></a>00177                 hxu.<a class="code" href="classdiffbifn.html#6d217a02d4fa13931258d4bebdd0feb4" title="Evaluates  and writes result into A .">dfdx_cond</a>(<a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a>,zeros(dimu),C,<span class="keyword">true</span>); | 
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 | 156 | <a name="l00178"></a>00178 } | 
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 | 157 | <a name="l00179"></a>00179  | 
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 | 158 | <a name="l00180"></a>00180 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
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 | 159 | <a name="l00181"></a><a class="code" href="classEKF.html#fb0a08463f14e5584344ea2df99fe747">00181</a> <span class="keywordtype">void</span> <a class="code" href="classEKF.html#fb0a08463f14e5584344ea2df99fe747" title="Here dt = [yt;ut] of appropriate dimensions.">EKF<sq_T>::bayes</a>( <span class="keyword">const</span> vec &dt , <span class="keywordtype">bool</span> evalll) { | 
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 | 160 | <a name="l00182"></a>00182         it_assert_debug( dt.length()==( dimy+dimu ),<span class="stringliteral">"KalmanFull::bayes wrong size of dt"</span> ); | 
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 | 161 | <a name="l00183"></a>00183  | 
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 | 162 | <a name="l00184"></a>00184         vec u = dt.get( dimy,dimy+dimu-1 ); | 
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 | 163 | <a name="l00185"></a>00185         vec y = dt.get( 0,dimy-1 ); | 
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 | 164 | <a name="l00186"></a>00186         <span class="comment">//Time update</span> | 
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 | 165 | <a name="l00187"></a>00187         <a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a> = fxu.<a class="code" href="classdiffbifn.html#ad7673e16aa1a046b131b24c731c4632" title="Evaluates $f(x0,u0)$ (VS: Do we really need common eval? ).">eval</a>(<a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a>, u); | 
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 | 166 | <a name="l00188"></a>00188         fxu.<a class="code" href="classdiffbifn.html#6d217a02d4fa13931258d4bebdd0feb4" title="Evaluates  and writes result into A .">dfdx_cond</a>(<a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a>,u,A,<span class="keyword">false</span>); <span class="comment">//update A by a derivative of fx</span> | 
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 | 167 | <a name="l00189"></a>00189          | 
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 | 168 | <a name="l00190"></a>00190         <span class="comment">//P  = A*P*A.transpose() + Q; in sq_T</span> | 
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 | 169 | <a name="l00191"></a>00191         <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a>.<a class="code" href="classfsqmat.html#acc5d2d0a243f1de6d0106065f01f518" title="Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C&#39;$.">mult_sym</a>( A ); | 
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 | 170 | <a name="l00192"></a>00192         <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a>+=Q; | 
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 | 171 | <a name="l00193"></a>00193  | 
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 | 172 | <a name="l00194"></a>00194         <span class="comment">//Data update</span> | 
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 | 173 | <a name="l00195"></a>00195         hxu.<a class="code" href="classdiffbifn.html#6d217a02d4fa13931258d4bebdd0feb4" title="Evaluates  and writes result into A .">dfdx_cond</a>(<a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a>,u,C,<span class="keyword">false</span>); <span class="comment">//update C by a derivative hx</span> | 
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 | 174 | <a name="l00196"></a>00196         <span class="comment">//_Ry = C*P*C.transpose() + R; in sq_T</span> | 
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 | 175 | <a name="l00197"></a>00197         _Ry.<a class="code" href="classfsqmat.html#acc5d2d0a243f1de6d0106065f01f518" title="Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C&#39;$.">mult_sym</a>( C, <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a>); | 
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 | 176 | <a name="l00198"></a>00198         _Ry+=R; | 
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 | 177 | <a name="l00199"></a>00199  | 
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 | 178 | <a name="l00200"></a>00200         mat Pfull = <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a>.<a class="code" href="classfsqmat.html#cedf4f048309056f4262c930914dfda8" title="Conversion to full matrix.">to_mat</a>(); | 
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 | 179 | <a name="l00201"></a>00201          | 
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 | 180 | <a name="l00202"></a>00202         _Ry.<a class="code" href="classfsqmat.html#9fa853e1ca28f2a1a1c43377e798ecb1">inv</a>( _iRy ); <span class="comment">// result is in _iRy;</span> | 
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 | 181 | <a name="l00203"></a>00203         _K = Pfull*C.transpose()*(_iRy.<a class="code" href="classfsqmat.html#cedf4f048309056f4262c930914dfda8" title="Conversion to full matrix.">to_mat</a>()); | 
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 | 182 | <a name="l00204"></a>00204         <a class="code" href="classKalman.html#188cd5ac1c9e496b1a371eb7c57c97d3" title="Mean value of the posterior density.">P</a> -= _K*C*Pfull; <span class="comment">// P = P -KCP;</span> | 
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 | 183 | <a name="l00205"></a>00205         _yp = y-hxu.<a class="code" href="classdiffbifn.html#ad7673e16aa1a046b131b24c731c4632" title="Evaluates $f(x0,u0)$ (VS: Do we really need common eval? ).">eval</a>(<a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a>,u); <span class="comment">//y prediction</span> | 
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 | 184 | <a name="l00206"></a>00206         <a class="code" href="classKalman.html#3063a3f58a74cea672ae889971012eed" title="Mean value of the posterior density.">mu</a> += _K*( _yp ); | 
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 | 185 | <a name="l00207"></a>00207          | 
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 | 186 | <a name="l00208"></a>00208         <span class="keywordflow">if</span> (evalll==<span class="keyword">true</span>) { | 
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 | 187 | <a name="l00209"></a>00209         <a class="code" href="classBM.html#5623fef6572a08c2b53b8c87b82dc979" title="Logarithm of marginalized data likelihood.">ll</a>+= -0.5*(_Ry.<a class="code" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b" title="Reimplementing common functions of mat: cols().">cols</a>()*0.79817986835811504957 \ | 
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 | 188 | <a name="l00210"></a>00210         +_Ry.<a class="code" href="classfsqmat.html#bf212272ec195ad2706e2bf4d8e7c9b3" title="Logarithm of a determinant.">logdet</a>() +_iRy.<a class="code" href="classfsqmat.html#6d047b9f7a27dfc093303a13cc9b1fba" title="Evaluates quadratic form $x= v&#39;*V*v$;.">qform</a>(_yp)); | 
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 | 189 | <a name="l00211"></a>00211         } | 
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 | 190 | <a name="l00212"></a>00212 }; | 
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 | 191 | <a name="l00213"></a>00213  | 
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 | 192 | <a name="l00214"></a>00214  | 
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 | 193 | <a name="l00215"></a>00215 <span class="preprocessor">#endif // KF_H</span> | 
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 | 194 | <a name="l00216"></a>00216 <span class="preprocessor"></span> | 
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 | 195 | <a name="l00217"></a>00217  | 
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 | 196 | </pre></div><hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 17 16:14:14 2008 for mixpp by  | 
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| [8] | 197 | <a href="http://www.doxygen.org/index.html"> | 
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 | 198 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.3 </small></address> | 
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 | 199 | </body> | 
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 | 200 | </html> | 
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