| 141 |  | <a name="l00146"></a><a class="code" href="classbdm_1_1KalmanCh.html# 830486554e1a2c7652541dbc9dcd3fb3">00146</a>         <a class="code" href="classbdm_1_1KalmanCh.html#830486554e1a2c7652541dbc9dcd3fb3" title="Default constructor.">KalmanCh</a> ():<a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><<a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a>>(),<a class="code" href="classbdm_1_1KalmanCh.html#48611c8582706cfa62e832be0972e75d" title="pre array (triangular matrix)">preA</a>(),<a class="code" href="classbdm_1_1KalmanCh.html#bcbd68f51d4b57246e7784ca5900171f" title="post array (triangular matrix)">postA</a>(){}; | 
                        | 142 |  | <a name="l0014 8"></a>00148         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1KalmanCh.html#20a4d4c664e8ac8a3f1bb7b0d11c6d87" title="Set parameters with check of relevance.">set_parameters</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> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> &Q0,<span class="keyword">const</span> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> &R0 ); | 
                        | 143 |  | <a name="l0014 9"></a>00149         <span class="keywordtype">void</span> set_statistics ( <span class="keyword">const</span> vec &mu0, <span class="keyword">const</span> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> &P0 ) { | 
                        | 144 |  | <a name="l001 50"></a>00150                 <a class="code" href="classbdm_1_1Kalman.html#383f329ff18bbe219254c8b3b916f40d" title="posterior density on $x_t$">est</a>.<a class="code" href="classbdm_1_1enorm.html#b8322f2c11560871dd922c660f4771bb">set_parameters</a> ( mu0,P0); | 
                        | 145 |  | <a name="l0015 1"></a>00151         }; | 
                        | 146 |  | <a name="l0015 2"></a>00152          | 
                        | 147 |  | <a name="l00153"></a>00153  | 
                        | 148 |  | <a name="l001 67"></a>00167         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1KalmanCh.html#b41fe5540548100b08e1684c3be767b6" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a> ( <span class="keyword">const</span> vec &dt ); | 
                        | 149 |  | <a name="l001 68"></a>00168 }; | 
                        | 150 |  | <a name="l001 69"></a>00169  | 
                        | 151 |  | <a name="l001 75"></a><a class="code" href="classbdm_1_1EKFfull.html">00175</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1EKFfull.html" title="Extended Kalman Filter in full matrices.">EKFfull</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1KalmanFull.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="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> { | 
                        | 152 |  | <a name="l001 76"></a>00176 | 
                        | 153 |  | <a name="l0017 8"></a>00178         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* pfxu; | 
                        | 154 |  | <a name="l001 80"></a>00180         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* phxu; | 
                        | 155 |  | <a name="l001 81"></a>00181         | 
                        | 156 |  | <a name="l0018 2"></a>00182         <a class="code" href="classbdm_1_1enorm.html" title="Gaussian density with positive definite (decomposed) covariance matrix.">enorm<fsqmat></a> E;  | 
                        | 157 |  | <a name="l0018 3"></a>00183 <span class="keyword">public</span>: | 
                        | 158 |  | <a name="l0018 5"></a>00185         <a class="code" href="classbdm_1_1EKFfull.html#6939c345389abb8b2481457b4cfe1165" title="Default constructor.">EKFfull</a> ( ); | 
                        | 159 |  | <a name="l0018 7"></a>00187         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFfull.html#78748da361ba61fef162b0d8956d1743" title="Set nonlinear functions for mean values and covariance matrices.">set_parameters</a> ( <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* pfxu, <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* phxu, <span class="keyword">const</span> mat Q0, <span class="keyword">const</span> mat R0 ); | 
                        | 160 |  | <a name="l0018 9"></a>00189         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFfull.html#f149ae8e9ce14d9931a7bb2850736699" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a> ( <span class="keyword">const</span> vec &dt ); | 
                        | 161 |  | <a name="l001 91"></a><a class="code" href="classbdm_1_1EKFfull.html#7562b3d3c17241dab3baf70258742eb2">00191</a>         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFfull.html#7562b3d3c17241dab3baf70258742eb2" title="set estimates">set_est</a> (vec mu0, mat P0){<a class="code" href="classbdm_1_1KalmanFull.html#2defb75e58892615c5f95fd844f3a666" title="Mean value of the posterior density.">mu</a>=mu0;<a class="code" href="classbdm_1_1KalmanFull.html#acacd228e100c3e937de575ad2d7cd9c" title="Variance of the posterior density.">P</a>=P0;}; | 
                        | 162 |  | <a name="l001 93"></a><a class="code" href="classbdm_1_1EKFfull.html#7e9a69f36a0a0615c9abb806772ef36d">00193</a>         <span class="keyword">const</span> <a class="code" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>& <a class="code" href="classbdm_1_1EKFfull.html#7e9a69f36a0a0615c9abb806772ef36d" title="dummy!">posterior</a>()<span class="keyword">const</span>{<span class="keywordflow">return</span> E;}; | 
                        | 163 |  | <a name="l0019 4"></a>00194         <span class="keyword">const</span> <a class="code" href="classbdm_1_1enorm.html" title="Gaussian density with positive definite (decomposed) covariance matrix.">enorm<fsqmat></a>* _e()<span class="keyword">const</span>{<span class="keywordflow">return</span> &E;}; | 
                        | 164 |  | <a name="l0019 5"></a>00195         <span class="keyword">const</span> mat _R(){<span class="keywordflow">return</span> <a class="code" href="classbdm_1_1KalmanFull.html#acacd228e100c3e937de575ad2d7cd9c" title="Variance of the posterior density.">P</a>;} | 
                        | 165 |  | <a name="l0019 6"></a>00196 }; | 
                        | 166 |  | <a name="l0019 7"></a>00197  | 
                        | 167 |  | <a name="l00 203"></a>00203 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
                        | 168 |  | <a name="l00 204"></a><a class="code" href="classbdm_1_1EKF.html">00204</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1EKF.html" title="Extended Kalman Filter.">EKF</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><fsqmat> { | 
                        | 169 |  | <a name="l0020 6"></a>00206         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* pfxu; | 
                        | 170 |  | <a name="l0020 8"></a>00208         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* phxu; | 
                        | 171 |  | <a name="l0020 9"></a>00209 <span class="keyword">public</span>: | 
                        | 172 |  | <a name="l002 11"></a>00211         <a class="code" href="classbdm_1_1EKF.html#d087a8bb408d26ac4f5c542746b81059" title="Default constructor.">EKF</a> ( <a class="code" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a> rvx, <a class="code" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a> <a class="code" href="classbdm_1_1Kalman.html#3fe475a1e920b20b63bb342c0e1571f7" title="Indetifier of output rv.">rvy</a>, <a class="code" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a> <a class="code" href="classbdm_1_1Kalman.html#149e27424fd1a7cc1c998ea088618a94" title="Indetifier of exogeneous rv.">rvu</a> ); | 
                        | 173 |  | <a name="l002 13"></a>00213         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKF.html#00fec1a0a6a467eb83fb36c65eba7bcb" title="Set nonlinear functions for mean values and covariance matrices.">set_parameters</a> ( <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* pfxu, <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* phxu, <span class="keyword">const</span> sq_T Q0, <span class="keyword">const</span> sq_T R0 ); | 
                        | 174 |  | <a name="l0021 5"></a>00215         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKF.html#3fb182ecc29b10ca1163cecbf3bcccfa" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a> ( <span class="keyword">const</span> vec &dt ); | 
                        | 175 |  | <a name="l0021 6"></a>00216 }; | 
                        | 176 |  | <a name="l0021 7"></a>00217  | 
                        | 177 |  | <a name="l002 24"></a><a class="code" href="classbdm_1_1EKFCh.html">00224</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1EKFCh.html" title="Extended Kalman Filter in Square root.">EKFCh</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1KalmanCh.html" title="Kalman filter in square root form.">KalmanCh</a> { | 
                        | 178 |  | <a name="l002 25"></a>00225         <span class="keyword">protected</span>: | 
                        | 179 |  | <a name="l0022 7"></a><a class="code" href="classbdm_1_1EKFCh.html#e1e895f994398a55bc425551fc275ba3">00227</a>         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* <a class="code" href="classbdm_1_1EKFCh.html#e1e895f994398a55bc425551fc275ba3" title="Internal Model f(x,u).">pfxu</a>; | 
                        | 180 |  | <a name="l0022 9"></a><a class="code" href="classbdm_1_1EKFCh.html#6b34c69641826322467b704e8252f317">00229</a>         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* <a class="code" href="classbdm_1_1EKFCh.html#6b34c69641826322467b704e8252f317" title="Observation Model h(x,u).">phxu</a>; | 
                        | 181 |  | <a name="l002 30"></a>00230 <span class="keyword">public</span>: | 
                        | 182 |  | <a name="l002 32"></a>00232         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFCh.html#50f9fbffad721f35e5ccb75d0f6b842a" title="Set nonlinear functions for mean values and covariance matrices.">set_parameters</a> ( <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* <a class="code" href="classbdm_1_1EKFCh.html#e1e895f994398a55bc425551fc275ba3" title="Internal Model f(x,u).">pfxu</a>, <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* <a class="code" href="classbdm_1_1EKFCh.html#6b34c69641826322467b704e8252f317" title="Observation Model h(x,u).">phxu</a>, <span class="keyword">const</span> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> Q0, <span class="keyword">const</span> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> R0 ); | 
                        | 183 |  | <a name="l0023 4"></a>00234         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFCh.html#4c8609c37290b158f88a31dae4047225" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a> ( <span class="keyword">const</span> vec &dt ); | 
                        | 184 |  | <a name="l0023 5"></a>00235 }; | 
                        | 185 |  | <a name="l0023 6"></a>00236  | 
                        | 186 |  | <a name="l002 41"></a><a class="code" href="classbdm_1_1KFcondQR.html">00241</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1KFcondQR.html" title="Kalman Filter with conditional diagonal matrices R and Q.">KFcondQR</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><ldmat>, <span class="keyword">public</span> <a class="code" href="classbdm_1_1BMcond.html" title="Conditional Bayesian Filter.">BMcond</a> { | 
                        | 187 |  | <a name="l002 42"></a>00242 <span class="comment">//protected:</span> | 
                        | 188 |  | <a name="l002 43"></a>00243 <span class="keyword">public</span>: | 
                        | 189 |  | <a name="l0024 5"></a><a class="code" href="classbdm_1_1KFcondQR.html#b586ac962751a6af76b2e0fd7e066194">00245</a>         <a class="code" href="classbdm_1_1KFcondQR.html#b586ac962751a6af76b2e0fd7e066194" title="Default constructor.">KFcondQR</a> ( ) : <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><<a class="code" href="classldmat.html" title="Matrix stored in LD form, (commonly known as UD).">ldmat</a>> ( ),<a class="code" href="classbdm_1_1BMcond.html" title="Conditional Bayesian Filter.">BMcond</a> ( ) {}; | 
                        | 190 |  | <a name="l0024 6"></a>00246  | 
                        | 191 |  | <a name="l0024 7"></a>00247         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1KFcondQR.html#0288d47032757774a525f196ac3da21d" title="Substitute val for rvc.">condition</a> ( <span class="keyword">const</span> vec &RQ); | 
                        | 192 |  | <a name="l0024 8"></a>00248 }; | 
                        | 193 |  | <a name="l0024 9"></a>00249  | 
                        | 194 |  | <a name="l002 54"></a><a class="code" href="classbdm_1_1KFcondR.html">00254</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1KFcondR.html" title="Kalman Filter with conditional diagonal matrices R and Q.">KFcondR</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><ldmat>, <span class="keyword">public</span> <a class="code" href="classbdm_1_1BMcond.html" title="Conditional Bayesian Filter.">BMcond</a> { | 
                        | 195 |  | <a name="l002 55"></a>00255 <span class="comment">//protected:</span> | 
                        | 196 |  | <a name="l002 56"></a>00256 <span class="keyword">public</span>: | 
                        | 197 |  | <a name="l0025 8"></a><a class="code" href="classbdm_1_1KFcondR.html#f11639d79f10b1e7dad16a0d8233450d">00258</a>         <a class="code" href="classbdm_1_1KFcondR.html#f11639d79f10b1e7dad16a0d8233450d" title="Default constructor.">KFcondR</a> ( ) : <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><<a class="code" href="classldmat.html" title="Matrix stored in LD form, (commonly known as UD).">ldmat</a>> ( ),<a class="code" href="classbdm_1_1BMcond.html" title="Conditional Bayesian Filter.">BMcond</a> ( ) {}; | 
                        | 198 |  | <a name="l0025 9"></a>00259  | 
                        | 199 |  | <a name="l002 60"></a>00260         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1KFcondR.html#6086f02541f8f3bc8351990abf5cd538" title="Substitute val for rvc.">condition</a> ( <span class="keyword">const</span> vec &<a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a> ); | 
                        | 200 |  | <a name="l002 61"></a>00261 }; | 
                        | 201 |  | <a name="l002 62"></a>00262  | 
                        | 202 |  | <a name="l002 64"></a>00264  | 
                        | 203 |  | <a name="l0026 5"></a>00265 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
                        | 204 |  | <a name="l0026 6"></a><a class="code" href="classbdm_1_1Kalman.html#8b22c45cffa949d70b8e5ac92ed5ce25">00266</a> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman<sq_T>::Kalman</a> ( <span class="keyword">const</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman<sq_T></a> &K0 ) : <a class="code" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> ( ),rvy ( K0.rvy ),rvu ( K0.rvu ), | 
                        | 205 |  | <a name="l0026 7"></a>00267                 dimx ( K0.dimx ), dimy ( K0.dimy ),dimu ( K0.dimu ), | 
                        | 206 |  | <a name="l0026 8"></a>00268                 A ( K0.A ), B ( K0.B ), C ( K0.C ), D ( K0.D ), | 
                        | 207 |  | <a name="l0026 9"></a>00269                 Q(K0.Q), R(K0.R), | 
                        | 208 |  | <a name="l002 70"></a>00270                 est ( K0.est ), fy ( K0.fy ), _yp(fy._mu()),_Ry(fy._R()), _mu(est._mu()), _P(est._R()) { | 
                        | 209 |  | <a name="l0027 1"></a>00271  | 
                        | 210 |  | <a name="l0027 2"></a>00272 <span class="comment">// copy values in pointers</span> | 
                        | 211 |  | <a name="l0027 3"></a>00273 <span class="comment">//      _mu = K0._mu;</span> | 
                        | 212 |  | <a name="l00274"></a> 00274 <span class="comment">//      _P = K0._P;</span> | 
                        | 213 |  | <a name="l00275"></a>00275 <span class="comment">//      _yp = K0._yp;</span> | 
                        | 214 |  | <a name="l00276"></a> 00276 <span class="comment">//      _Ry = K0._Ry;</span> | 
                        | 215 |  | <a name="l00277"></a>00277  | 
                        | 216 |  | <a name="l00278"></a>00278 } | 
                        | 217 |  | <a name="l00279"></a>00279  | 
                        | 218 |  | <a name="l00280"></a>00280 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
                        | 219 |  | <a name="l00281"></a> <a class="code" href="classbdm_1_1Kalman.html#025a0196cbcc2e6adb13311f9d3d52b4">00281</a> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman<sq_T>::Kalman</a> ( ) : <a class="code" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> (), est ( ), fy (),  _yp(fy._mu()), _Ry(fy._R()), _mu(est._mu()), _P(est._R()) { | 
                      
                        |  | 141 | <a name="l00146"></a><a class="code" href="classbdm_1_1KalmanCh.html#24ce65bdaa538d4d5153d709a929b996">00146</a>         <a class="code" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a>* <a class="code" href="classbdm_1_1KalmanCh.html#24ce65bdaa538d4d5153d709a929b996" title="copy constructor">_copy_</a>()<span class="keyword"> const </span>{ | 
                        |  | 142 | <a name="l00147"></a>00147                 <a class="code" href="classbdm_1_1KalmanCh.html" title="Kalman filter in square root form.">KalmanCh</a>* K=<span class="keyword">new</span> <a class="code" href="classbdm_1_1KalmanCh.html" title="Kalman filter in square root form.">KalmanCh</a>; | 
                        |  | 143 | <a name="l00148"></a>00148                 K-><a class="code" href="classbdm_1_1KalmanCh.html#20a4d4c664e8ac8a3f1bb7b0d11c6d87" title="Set parameters with check of relevance.">set_parameters</a> ( <a class="code" href="classbdm_1_1Kalman.html#0a2072e2090c10fac74ad30a023a4ace" title="Matrix A.">A</a>,<a class="code" href="classbdm_1_1Kalman.html#5977b2c81857948a35105f0e7840203c" title="Matrix B.">B</a>,<a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a>,<a class="code" href="classbdm_1_1Kalman.html#7b56ac423d0654b5755e4f852a870456" title="Matrix D.">D</a>,<a class="code" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee" title="Matrix Q in square-root form.">Q</a>,<a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a> ); | 
                        |  | 144 | <a name="l00149"></a>00149                 K-><a class="code" href="classbdm_1_1KalmanCh.html#6e169272657ed101f3d128b49c59b890">set_statistics</a> ( <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a>,<a class="code" href="classbdm_1_1Kalman.html#00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a> ); | 
                        |  | 145 | <a name="l00150"></a>00150                 <span class="keywordflow">return</span> K; | 
                        |  | 146 | <a name="l00151"></a>00151         } | 
                        |  | 147 | <a name="l00153"></a>00153         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1KalmanCh.html#20a4d4c664e8ac8a3f1bb7b0d11c6d87" title="Set parameters with check of relevance.">set_parameters</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> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> &Q0,<span class="keyword">const</span> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> &R0 ); | 
                        |  | 148 | <a name="l00154"></a>00154         <span class="keywordtype">void</span> set_statistics ( <span class="keyword">const</span> vec &mu0, <span class="keyword">const</span> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> &P0 ) { | 
                        |  | 149 | <a name="l00155"></a>00155                 <a class="code" href="classbdm_1_1Kalman.html#383f329ff18bbe219254c8b3b916f40d" title="posterior density on $x_t$">est</a>.<a class="code" href="classbdm_1_1enorm.html#b8322f2c11560871dd922c660f4771bb">set_parameters</a> ( mu0,P0 ); | 
                        |  | 150 | <a name="l00156"></a>00156         }; | 
                        |  | 151 | <a name="l00157"></a>00157 | 
                        |  | 152 | <a name="l00158"></a>00158 | 
                        |  | 153 | <a name="l00172"></a>00172         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1KalmanCh.html#b41fe5540548100b08e1684c3be767b6" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a> ( <span class="keyword">const</span> vec &dt ); | 
                        |  | 154 | <a name="l00173"></a>00173 }; | 
                        |  | 155 | <a name="l00174"></a>00174 | 
                        |  | 156 | <a name="l00180"></a><a class="code" href="classbdm_1_1EKFfull.html">00180</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1EKFfull.html" title="Extended Kalman Filter in full matrices.">EKFfull</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1KalmanFull.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="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> { | 
                        |  | 157 | <a name="l00181"></a>00181 | 
                        |  | 158 | <a name="l00183"></a>00183         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* pfxu; | 
                        |  | 159 | <a name="l00185"></a>00185         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* phxu; | 
                        |  | 160 | <a name="l00186"></a>00186 | 
                        |  | 161 | <a name="l00187"></a>00187         <a class="code" href="classbdm_1_1enorm.html" title="Gaussian density with positive definite (decomposed) covariance matrix.">enorm<fsqmat></a> E; | 
                        |  | 162 | <a name="l00188"></a>00188 <span class="keyword">public</span>: | 
                        |  | 163 | <a name="l00190"></a>00190         <a class="code" href="classbdm_1_1EKFfull.html#6939c345389abb8b2481457b4cfe1165" title="Default constructor.">EKFfull</a> ( ); | 
                        |  | 164 | <a name="l00192"></a>00192         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFfull.html#78748da361ba61fef162b0d8956d1743" title="Set nonlinear functions for mean values and covariance matrices.">set_parameters</a> ( <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* pfxu, <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* phxu, <span class="keyword">const</span> mat Q0, <span class="keyword">const</span> mat R0 ); | 
                        |  | 165 | <a name="l00194"></a>00194         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFfull.html#f149ae8e9ce14d9931a7bb2850736699" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a> ( <span class="keyword">const</span> vec &dt ); | 
                        |  | 166 | <a name="l00196"></a><a class="code" href="classbdm_1_1EKFfull.html#7562b3d3c17241dab3baf70258742eb2">00196</a>         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFfull.html#7562b3d3c17241dab3baf70258742eb2" title="set estimates">set_est</a> ( vec mu0, mat P0 ) {<a class="code" href="classbdm_1_1KalmanFull.html#2defb75e58892615c5f95fd844f3a666" title="Mean value of the posterior density.">mu</a>=mu0;<a class="code" href="classbdm_1_1KalmanFull.html#acacd228e100c3e937de575ad2d7cd9c" title="Variance of the posterior density.">P</a>=P0;}; | 
                        |  | 167 | <a name="l00198"></a><a class="code" href="classbdm_1_1EKFfull.html#7e9a69f36a0a0615c9abb806772ef36d">00198</a>         <span class="keyword">const</span> <a class="code" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>& <a class="code" href="classbdm_1_1EKFfull.html#7e9a69f36a0a0615c9abb806772ef36d" title="dummy!">posterior</a>()<span class="keyword"> const</span>{<span class="keywordflow">return</span> E;}; | 
                        |  | 168 | <a name="l00199"></a>00199         <span class="keyword">const</span> <a class="code" href="classbdm_1_1enorm.html" title="Gaussian density with positive definite (decomposed) covariance matrix.">enorm<fsqmat></a>* _e()<span class="keyword"> const</span>{<span class="keywordflow">return</span> &E;}; | 
                        |  | 169 | <a name="l00200"></a>00200         <span class="keyword">const</span> mat _R() {<span class="keywordflow">return</span> <a class="code" href="classbdm_1_1KalmanFull.html#acacd228e100c3e937de575ad2d7cd9c" title="Variance of the posterior density.">P</a>;} | 
                        |  | 170 | <a name="l00201"></a>00201 }; | 
                        |  | 171 | <a name="l00202"></a>00202 | 
                        |  | 172 | <a name="l00208"></a>00208 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
                        |  | 173 | <a name="l00209"></a><a class="code" href="classbdm_1_1EKF.html">00209</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1EKF.html" title="Extended Kalman Filter.">EKF</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><fsqmat> { | 
                        |  | 174 | <a name="l00211"></a>00211         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* pfxu; | 
                        |  | 175 | <a name="l00213"></a>00213         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* phxu; | 
                        |  | 176 | <a name="l00214"></a>00214 <span class="keyword">public</span>: | 
                        |  | 177 | <a name="l00216"></a>00216         <a class="code" href="classbdm_1_1EKF.html#d087a8bb408d26ac4f5c542746b81059" title="Default constructor.">EKF</a> ( <a class="code" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a> rvx, <a class="code" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a> <a class="code" href="classbdm_1_1Kalman.html#3fe475a1e920b20b63bb342c0e1571f7" title="Indetifier of output rv.">rvy</a>, <a class="code" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables.">RV</a> <a class="code" href="classbdm_1_1Kalman.html#149e27424fd1a7cc1c998ea088618a94" title="Indetifier of exogeneous rv.">rvu</a> ); | 
                        |  | 178 | <a name="l00218"></a><a class="code" href="classbdm_1_1EKF.html#fe9b2e227255ad32dc73df316b7318f4">00218</a>         <a class="code" href="classbdm_1_1EKF.html" title="Extended Kalman Filter.">EKF<sq_T></a>* <a class="code" href="classbdm_1_1EKF.html#fe9b2e227255ad32dc73df316b7318f4" title="copy constructor">_copy_</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="classbdm_1_1EKF.html" title="Extended Kalman Filter.">EKF<sq_T></a>(<span class="keyword">this</span>); } | 
                        |  | 179 | <a name="l00220"></a>00220         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKF.html#00fec1a0a6a467eb83fb36c65eba7bcb" title="Set nonlinear functions for mean values and covariance matrices.">set_parameters</a> ( <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* pfxu, <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* phxu, <span class="keyword">const</span> sq_T Q0, <span class="keyword">const</span> sq_T R0 ); | 
                        |  | 180 | <a name="l00222"></a>00222         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKF.html#3fb182ecc29b10ca1163cecbf3bcccfa" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a> ( <span class="keyword">const</span> vec &dt ); | 
                        |  | 181 | <a name="l00223"></a>00223 }; | 
                        |  | 182 | <a name="l00224"></a>00224 | 
                        |  | 183 | <a name="l00231"></a><a class="code" href="classbdm_1_1EKFCh.html">00231</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1EKFCh.html" title="Extended Kalman Filter in Square root.">EKFCh</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1KalmanCh.html" title="Kalman filter in square root form.">KalmanCh</a> { | 
                        |  | 184 | <a name="l00232"></a>00232 <span class="keyword">protected</span>: | 
                        |  | 185 | <a name="l00234"></a><a class="code" href="classbdm_1_1EKFCh.html#e1e895f994398a55bc425551fc275ba3">00234</a>         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* <a class="code" href="classbdm_1_1EKFCh.html#e1e895f994398a55bc425551fc275ba3" title="Internal Model f(x,u).">pfxu</a>; | 
                        |  | 186 | <a name="l00236"></a><a class="code" href="classbdm_1_1EKFCh.html#6b34c69641826322467b704e8252f317">00236</a>         <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* <a class="code" href="classbdm_1_1EKFCh.html#6b34c69641826322467b704e8252f317" title="Observation Model h(x,u).">phxu</a>; | 
                        |  | 187 | <a name="l00237"></a>00237 <span class="keyword">public</span>: | 
                        |  | 188 | <a name="l00239"></a><a class="code" href="classbdm_1_1EKFCh.html#1d1d91400e3f177de9fe7962ea17adc4">00239</a>         <a class="code" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a>* <a class="code" href="classbdm_1_1EKFCh.html#1d1d91400e3f177de9fe7962ea17adc4" title="copy constructor duplicated - calls different set_parameters">_copy_</a>()<span class="keyword"> const </span>{ | 
                        |  | 189 | <a name="l00240"></a>00240                 <a class="code" href="classbdm_1_1EKFCh.html" title="Extended Kalman Filter in Square root.">EKFCh</a>* E=<span class="keyword">new</span> <a class="code" href="classbdm_1_1EKFCh.html" title="Extended Kalman Filter in Square root.">EKFCh</a>; | 
                        |  | 190 | <a name="l00241"></a>00241                 E-><a class="code" href="classbdm_1_1EKFCh.html#50f9fbffad721f35e5ccb75d0f6b842a" title="Set nonlinear functions for mean values and covariance matrices.">set_parameters</a> ( <a class="code" href="classbdm_1_1EKFCh.html#e1e895f994398a55bc425551fc275ba3" title="Internal Model f(x,u).">pfxu</a>,<a class="code" href="classbdm_1_1EKFCh.html#6b34c69641826322467b704e8252f317" title="Observation Model h(x,u).">phxu</a>,<a class="code" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee" title="Matrix Q in square-root form.">Q</a>,<a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a> ); | 
                        |  | 191 | <a name="l00242"></a>00242                 E-><a class="code" href="classbdm_1_1KalmanCh.html#6e169272657ed101f3d128b49c59b890">set_statistics</a> ( <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a>,<a class="code" href="classbdm_1_1Kalman.html#00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a> ); | 
                        |  | 192 | <a name="l00243"></a>00243                 <span class="keywordflow">return</span> E; | 
                        |  | 193 | <a name="l00244"></a>00244         } | 
                        |  | 194 | <a name="l00246"></a>00246         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFCh.html#50f9fbffad721f35e5ccb75d0f6b842a" title="Set nonlinear functions for mean values and covariance matrices.">set_parameters</a> ( <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* <a class="code" href="classbdm_1_1EKFCh.html#e1e895f994398a55bc425551fc275ba3" title="Internal Model f(x,u).">pfxu</a>, <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* <a class="code" href="classbdm_1_1EKFCh.html#6b34c69641826322467b704e8252f317" title="Observation Model h(x,u).">phxu</a>, <span class="keyword">const</span> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> Q0, <span class="keyword">const</span> <a class="code" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> R0 ); | 
                        |  | 195 | <a name="l00248"></a>00248         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKFCh.html#4c8609c37290b158f88a31dae4047225" title="Here dt = [yt;ut] of appropriate dimensions.">bayes</a> ( <span class="keyword">const</span> vec &dt ); | 
                        |  | 196 | <a name="l00249"></a>00249 }; | 
                        |  | 197 | <a name="l00250"></a>00250 | 
                        |  | 198 | <a name="l00255"></a><a class="code" href="classbdm_1_1KFcondQR.html">00255</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1KFcondQR.html" title="Kalman Filter with conditional diagonal matrices R and Q.">KFcondQR</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><ldmat> { | 
                        |  | 199 | <a name="l00256"></a>00256 <span class="comment">//protected:</span> | 
                        |  | 200 | <a name="l00257"></a>00257 <span class="keyword">public</span>: | 
                        |  | 201 | <a name="l00258"></a><a class="code" href="classbdm_1_1KFcondQR.html#31bc31087ee7ed6c0bfb92d626321b91">00258</a>         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1KFcondQR.html#31bc31087ee7ed6c0bfb92d626321b91" title="Substitute val for rvc.">condition</a> ( <span class="keyword">const</span> vec &QR ) { | 
                        |  | 202 | <a name="l00259"></a>00259                 it_assert_debug ( QR.length() == ( <a class="code" href="classbdm_1_1Kalman.html#ba7699cdb3b1382a54d3e28b9b7517fa" title="cache of rv.count()">dimx</a>+<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a> ),<span class="stringliteral">"KFcondRQ: conditioning by incompatible vector"</span> ); | 
                        |  | 203 | <a name="l00260"></a>00260 | 
                        |  | 204 | <a name="l00261"></a>00261                 <a class="code" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee" title="Matrix Q in square-root form.">Q</a>.<a class="code" href="classldmat.html#0884a613b94fde61bfc84288e73ce57f" title="Access functions.">setD</a> ( QR ( 0, <a class="code" href="classbdm_1_1Kalman.html#ba7699cdb3b1382a54d3e28b9b7517fa" title="cache of rv.count()">dimx</a>-1 ) ); | 
                        |  | 205 | <a name="l00262"></a>00262                 <a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a>.<a class="code" href="classldmat.html#0884a613b94fde61bfc84288e73ce57f" title="Access functions.">setD</a> ( QR ( <a class="code" href="classbdm_1_1Kalman.html#ba7699cdb3b1382a54d3e28b9b7517fa" title="cache of rv.count()">dimx</a>, -1 ) ); | 
                        |  | 206 | <a name="l00263"></a>00263         }; | 
                        |  | 207 | <a name="l00264"></a>00264 }; | 
                        |  | 208 | <a name="l00265"></a>00265 | 
                        |  | 209 | <a name="l00270"></a><a class="code" href="classbdm_1_1KFcondR.html">00270</a> <span class="keyword">class </span><a class="code" href="classbdm_1_1KFcondR.html" title="Kalman Filter with conditional diagonal matrices R and Q.">KFcondR</a> : <span class="keyword">public</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><ldmat> { | 
                        |  | 210 | <a name="l00271"></a>00271 <span class="comment">//protected:</span> | 
                        |  | 211 | <a name="l00272"></a>00272 <span class="keyword">public</span>: | 
                        |  | 212 | <a name="l00274"></a><a class="code" href="classbdm_1_1KFcondR.html#f11639d79f10b1e7dad16a0d8233450d">00274</a>         <a class="code" href="classbdm_1_1KFcondR.html#f11639d79f10b1e7dad16a0d8233450d" title="Default constructor.">KFcondR</a> ( ) : <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a><<a class="code" href="classldmat.html" title="Matrix stored in LD form, (commonly known as UD).">ldmat</a>> ( ) {}; | 
                        |  | 213 | <a name="l00275"></a>00275 | 
                        |  | 214 | <a name="l00276"></a><a class="code" href="classbdm_1_1KFcondR.html#7d42a421acbdcf9b610a5682ee5fb9a8">00276</a>         <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1KFcondR.html#7d42a421acbdcf9b610a5682ee5fb9a8" title="Substitute val for rvc.">condition</a> ( <span class="keyword">const</span> vec &R0 ) { | 
                        |  | 215 | <a name="l00277"></a>00277                 it_assert_debug ( R0.length() == ( <a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a> ),<span class="stringliteral">"KFcondR: conditioning by incompatible vector"</span> ); | 
                        |  | 216 | <a name="l00278"></a>00278 | 
                        |  | 217 | <a name="l00279"></a>00279                 <a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a>.<a class="code" href="classldmat.html#0884a613b94fde61bfc84288e73ce57f" title="Access functions.">setD</a> ( R0 ); | 
                        |  | 218 | <a name="l00280"></a>00280         }; | 
                        |  | 219 | <a name="l00281"></a>00281 | 
            
                      
                        | 222 |  | <a name="l00284"></a>00284 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
                        | 223 |  | <a name="l00285"></a><a class="code" href="classbdm_1_1Kalman.html#3c7fb87fb6b87d08deb6a5a7862da957">00285</a> <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman<sq_T>::set_parameters</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 &Q0, <span class="keyword">const</span> sq_T &R0 ) { | 
                        | 224 |  | <a name="l00286"></a>00286         <a class="code" href="classbdm_1_1Kalman.html#ba7699cdb3b1382a54d3e28b9b7517fa" title="cache of rv.count()">dimx</a> = A0.rows(); | 
                        | 225 |  | <a name="l00287"></a>00287         <a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a> = C0.rows(); | 
                        | 226 |  | <a name="l00288"></a>00288         <a class="code" href="classbdm_1_1Kalman.html#c5136ef617f6ac0e426bea222755d92b" title="cache of rvu.count()">dimu</a> = B0.cols(); | 
                        | 227 |  | <a name="l00289"></a>00289 | 
                        | 228 |  | <a name="l00290"></a>00290         it_assert_debug ( A0.cols() ==<a class="code" href="classbdm_1_1Kalman.html#ba7699cdb3b1382a54d3e28b9b7517fa" title="cache of rv.count()">dimx</a>, <span class="stringliteral">"Kalman: A is not square"</span> ); | 
                        | 229 |  | <a name="l00291"></a>00291         it_assert_debug ( B0.rows() ==<a class="code" href="classbdm_1_1Kalman.html#ba7699cdb3b1382a54d3e28b9b7517fa" title="cache of rv.count()">dimx</a>, <span class="stringliteral">"Kalman: B is not compatible"</span> ); | 
                        | 230 |  | <a name="l00292"></a>00292         it_assert_debug ( C0.cols() ==<a class="code" href="classbdm_1_1Kalman.html#ba7699cdb3b1382a54d3e28b9b7517fa" title="cache of rv.count()">dimx</a>, <span class="stringliteral">"Kalman: C is not square"</span> ); | 
                        | 231 |  | <a name="l00293"></a>00293         it_assert_debug ( ( D0.rows() ==<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a> ) || ( D0.cols() ==<a class="code" href="classbdm_1_1Kalman.html#c5136ef617f6ac0e426bea222755d92b" title="cache of rvu.count()">dimu</a> ), <span class="stringliteral">"Kalman: D is not compatible"</span> ); | 
                        | 232 |  | <a name="l00294"></a>00294         it_assert_debug ( ( R0.cols() ==<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a> ) || ( R0.rows() ==<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a> ), <span class="stringliteral">"Kalman: R is not compatible"</span> ); | 
                        | 233 |  | <a name="l00295"></a>00295         it_assert_debug ( ( Q0.cols() ==<a class="code" href="classbdm_1_1Kalman.html#ba7699cdb3b1382a54d3e28b9b7517fa" title="cache of rv.count()">dimx</a> ) || ( Q0.rows() ==<a class="code" href="classbdm_1_1Kalman.html#ba7699cdb3b1382a54d3e28b9b7517fa" title="cache of rv.count()">dimx</a> ), <span class="stringliteral">"Kalman: Q is not compatible"</span> ); | 
                        | 234 |  | <a name="l00296"></a>00296 | 
                        | 235 |  | <a name="l00297"></a>00297         <a class="code" href="classbdm_1_1Kalman.html#0a2072e2090c10fac74ad30a023a4ace" title="Matrix A.">A</a> = A0; | 
                        | 236 |  | <a name="l00298"></a>00298         <a class="code" href="classbdm_1_1Kalman.html#5977b2c81857948a35105f0e7840203c" title="Matrix B.">B</a> = B0; | 
                        | 237 |  | <a name="l00299"></a>00299         <a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a> = C0; | 
                        | 238 |  | <a name="l00300"></a>00300         <a class="code" href="classbdm_1_1Kalman.html#7b56ac423d0654b5755e4f852a870456" title="Matrix D.">D</a> = D0; | 
                        | 239 |  | <a name="l00301"></a>00301         <a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a> = R0; | 
                        | 240 |  | <a name="l00302"></a>00302         <a class="code" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee" title="Matrix Q in square-root form.">Q</a> = Q0; | 
                        | 241 |  | <a name="l00303"></a>00303 } | 
                      
                        |  | 222 | <a name="l00285"></a>00285 | 
                        |  | 223 | <a name="l00286"></a>00286 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
                        |  | 224 | <a name="l00287"></a><a class="code" href="classbdm_1_1Kalman.html#8b22c45cffa949d70b8e5ac92ed5ce25">00287</a> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman<sq_T>::Kalman</a> ( <span class="keyword">const</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman<sq_T></a> &K0 ) : <a class="code" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> ( ),rvy ( K0.rvy ),rvu ( K0.rvu ), | 
                        |  | 225 | <a name="l00288"></a>00288                 dimx ( K0.dimx ), dimy ( K0.dimy ),dimu ( K0.dimu ), | 
                        |  | 226 | <a name="l00289"></a>00289                 A ( K0.A ), B ( K0.B ), C ( K0.C ), D ( K0.D ), | 
                        |  | 227 | <a name="l00290"></a>00290                 Q ( K0.Q ), R ( K0.R ), | 
                        |  | 228 | <a name="l00291"></a>00291                 est ( K0.est ), fy ( K0.fy ), _yp ( fy._mu() ),_Ry ( fy._R() ), _mu ( est._mu() ), _P ( est._R() ) { | 
                        |  | 229 | <a name="l00292"></a>00292 | 
                        |  | 230 | <a name="l00293"></a>00293 <span class="comment">// copy values in pointers</span> | 
                        |  | 231 | <a name="l00294"></a>00294 <span class="comment">//      _mu = K0._mu;</span> | 
                        |  | 232 | <a name="l00295"></a>00295 <span class="comment">//      _P = K0._P;</span> | 
                        |  | 233 | <a name="l00296"></a>00296 <span class="comment">//      _yp = K0._yp;</span> | 
                        |  | 234 | <a name="l00297"></a>00297 <span class="comment">//      _Ry = K0._Ry;</span> | 
                        |  | 235 | <a name="l00298"></a>00298 | 
                        |  | 236 | <a name="l00299"></a>00299 } | 
                        |  | 237 | <a name="l00300"></a>00300 | 
                        |  | 238 | <a name="l00301"></a>00301 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
                        |  | 239 | <a name="l00302"></a><a class="code" href="classbdm_1_1Kalman.html#025a0196cbcc2e6adb13311f9d3d52b4">00302</a> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman<sq_T>::Kalman</a> ( ) : <a class="code" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> (), est ( ), fy (),  _yp ( fy._mu() ), _Ry ( fy._R() ), _mu ( est._mu() ), _P ( est._R() ) { | 
                        |  | 240 | <a name="l00303"></a>00303 }; | 
            
                      
                        | 256 |  | <a name="l00318"></a>00318         < span class="comment">//Data update</span> | 
                        | 257 |  | <a name="l00319"></a>00319         < span class="comment">//_Ry = C*P*C.transpose() + R; in sq_T</span> | 
                        | 258 |  | <a name="l00320"></a>00320         <a class="code" href="classbdm_1_1Kalman.html# 00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a>.mult_sym ( <a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a>, <a class="code" href="classbdm_1_1Kalman.html#2dd268f2d7fbe6382cb8825a1114192a" title="cache of fy.R">_Ry</a> ); | 
                        | 259 |  | <a name="l00321"></a>00321         <a class="code" href="classbdm_1_1Kalman.html# 2dd268f2d7fbe6382cb8825a1114192a" title="cache of fy.R">_Ry</a>  +=<a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a>; | 
                        | 260 |  | <a name="l00322"></a>00322  | 
                        | 261 |  | <a name="l00323"></a>00323 mat Pfull = <a class="code" href="classbdm_1_1Kalman.html#00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a>.to_mat(); | 
                        | 262 |  | <a name="l00324"></a>00324  | 
                        | 263 |  | <a name="l00325"></a>00325         <a class="code" href="classbdm_1_1Kalman.html#2dd268f2d7fbe6382cb8825a1114192a" title="cache of fy.R">_Ry</a>.inv ( iRy ); <span class="comment">// result is in _iRy;</span> | 
                        | 264 |  | <a name="l00326"></a>00326         <a class="code" href="classbdm_1_1Kalman.html#bd69dfb802465f22dd84d73a180d5c92" title="placeholder for Kalman gain">_K</a> = Pfull*<a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a>.transpose() * ( iRy.to_mat() ); | 
                        | 265 |  | <a name="l00327"></a> 00327  | 
                        | 266 |  | <a name="l00328"></a>00328 sq_T pom ( ( <span class="keywordtype">int</span> ) Pfull.rows()); | 
                        | 267 |  | <a name="l00329"></a>00329         iRy.mult_sym_t ( <a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a>*Pfull,pom ); | 
                        | 268 |  | <a name="l00330"></a>00330 (<a class="code" href="classbdm_1_1Kalman.html#00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a> ) -= pom; <span class="comment">// P = P -PC'iRy*CP;</span> | 
                        | 269 |  | <a name="l00331"></a>00331 (<a class="code" href="classbdm_1_1Kalman.html#c249d45258c8578b13858ad3e7b729b1" title="cache of fy.mu">_yp</a> ) = <a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a>* <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a>  +<a class="code" href="classbdm_1_1Kalman.html#7b56ac423d0654b5755e4f852a870456" title="Matrix D.">D</a>*u; <span class="comment">//y prediction</span> | 
                        | 270 |  | <a name="l00332"></a>00332 (<a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a> ) += <a class="code" href="classbdm_1_1Kalman.html#bd69dfb802465f22dd84d73a180d5c92" title="placeholder for Kalman gain">_K</a>* ( y- <a class="code" href="classbdm_1_1Kalman.html#c249d45258c8578b13858ad3e7b729b1" title="cache of fy.mu">_yp</a> ); | 
                        | 271 |  | <a name="l00333"></a>00333  | 
                        | 272 |  | <a name="l00334"></a>00334  | 
                        | 273 |  | <a name="l00335"></a>00335         <span class=" keywordflow">if</span> ( <a class="code" href="classbdm_1_1BM.html#faff0ad12556fe7dc0e2807d4fd938ee" title="If true, the filter will compute likelihood of the data record and store it in ll...">evalll</a>==<span class="keyword">true</span> ) { <span class="comment">//likelihood of observation y</span> | 
                        | 274 |  | <a name="l00336"></a>00336         <a class="code" href="classbdm_1_1BM.html#4064b6559d962633e4372b12f4cd204a" title="Logarithm of marginalized data likelihood.">ll</a>=<a class="code" href="classbdm_1_1Kalman.html#ba555c394c429f6831c9bbabfa2c944c" title="preditive density on $y_t$">fy</a>.evallog ( y); | 
                        | 275 |  | <a name="l00337"></a>00337 } | 
                      
                        |  | 255 | <a name="l00318"></a>00318         <a class="code" href="classbdm_1_1Kalman.html#0a2072e2090c10fac74ad30a023a4ace" title="Matrix A.">A</a> = A0; | 
                        |  | 256 | <a name="l00319"></a>00319         <a class="code" href="classbdm_1_1Kalman.html#5977b2c81857948a35105f0e7840203c" title="Matrix B.">B</a> = B0; | 
                        |  | 257 | <a name="l00320"></a>00320         <a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a> = C0; | 
                        |  | 258 | <a name="l00321"></a>00321         <a class="code" href="classbdm_1_1Kalman.html#7b56ac423d0654b5755e4f852a870456" title="Matrix D.">D</a> = D0; | 
                        |  | 259 | <a name="l00322"></a>00322         <a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a> = R0; | 
                        |  | 260 | <a name="l00323"></a>00323         <a class="code" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee" title="Matrix Q in square-root form.">Q</a> = Q0; | 
                        |  | 261 | <a name="l00324"></a>00324 } | 
                        |  | 262 | <a name="l00325"></a>00325 | 
                        |  | 263 | <a name="l00326"></a>00326 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
                        |  | 264 | <a name="l00327"></a><a class="code" href="classbdm_1_1Kalman.html#4a39330c14eff8d13179e868a1d1aa8c">00327</a> <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman<sq_T>::bayes</a> ( <span class="keyword">const</span> vec &dt ) { | 
                        |  | 265 | <a name="l00328"></a>00328         it_assert_debug ( dt.length() == ( <a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a>+<a class="code" href="classbdm_1_1Kalman.html#c5136ef617f6ac0e426bea222755d92b" title="cache of rvu.count()">dimu</a> ),<span class="stringliteral">"KalmanFull::bayes wrong size of dt"</span> ); | 
                        |  | 266 | <a name="l00329"></a>00329 | 
                        |  | 267 | <a name="l00330"></a>00330         sq_T iRy ( <a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a> ); | 
                        |  | 268 | <a name="l00331"></a>00331         vec u = dt.get ( <a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a>,<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a>+<a class="code" href="classbdm_1_1Kalman.html#c5136ef617f6ac0e426bea222755d92b" title="cache of rvu.count()">dimu</a>-1 ); | 
                        |  | 269 | <a name="l00332"></a>00332         vec y = dt.get ( 0,<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a>-1 ); | 
                        |  | 270 | <a name="l00333"></a>00333         <span class="comment">//Time update</span> | 
                        |  | 271 | <a name="l00334"></a>00334         <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a> = <a class="code" href="classbdm_1_1Kalman.html#0a2072e2090c10fac74ad30a023a4ace" title="Matrix A.">A</a>* <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a> + <a class="code" href="classbdm_1_1Kalman.html#5977b2c81857948a35105f0e7840203c" title="Matrix B.">B</a>*u; | 
                        |  | 272 | <a name="l00335"></a>00335         <span class="comment">//P  = A*P*A.transpose() + Q; in sq_T</span> | 
                        |  | 273 | <a name="l00336"></a>00336         <a class="code" href="classbdm_1_1Kalman.html#00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a>.mult_sym ( <a class="code" href="classbdm_1_1Kalman.html#0a2072e2090c10fac74ad30a023a4ace" title="Matrix A.">A</a> ); | 
                        |  | 274 | <a name="l00337"></a>00337         <a class="code" href="classbdm_1_1Kalman.html#00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a>  +=<a class="code" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee" title="Matrix Q in square-root form.">Q</a>; | 
            
                      
                        | 309 |  | <a name="l00371"></a>00371         sq_T iRy(<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a>,<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a>); | 
                        | 310 |  | <a name="l00372"></a> 00372         vec u = dt.get ( <a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a>,<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a>+<a class="code" href="classbdm_1_1Kalman.html#c5136ef617f6ac0e426bea222755d92b" title="cache of rvu.count()">dimu</a>-1 ); | 
                        | 311 |  | <a name="l00373"></a>00373 vec y = dt.get ( 0,<a class="code" href="classbdm_1_1Kalman.html#d2c36ba01760bf207b985bf321b7817f" title="cache of rvy.count()">dimy</a>-1 ); | 
                        | 312 |  | <a name="l00374"></a>00374 <span class="comment">//Time update</span> | 
                        | 313 |  | <a name="l00375"></a>00375         <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a> = pfxu-><a class="code" href="classbdm_1_1diffbifn.html#188f31066bd72e1bf0ddacd1eb0e6af3" title="Evaluates  (VS: Do we really need common eval? ).">eval</a> ( <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a>, u ); | 
                        | 314 |  | <a name="l00376"></a>00376 pfxu-><a class="code" href="classbdm_1_1diffbifn.html#651184f808a35f236dbfea21aca1b6ac" title="Evaluates  and writes result into A .">dfdx_cond</a> ( <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a>,u,<a class="code" href="classbdm_1_1Kalman.html#0a2072e2090c10fac74ad30a023a4ace" title="Matrix A.">A</a>,<span class="keyword">false</span> ); <span class="comment">//update A by a derivative of fx</span> | 
                        | 315 |  | <a name="l00377"></a>00377  | 
                        | 316 |  | <a name="l00378"></a>00378         <span class="comment">//P  = A*P*A.transpose() + Q; in sq_T</span> | 
                        | 317 |  | <a name="l00379"></a>00379         <a class="code" href="classbdm_1_1Kalman.html# 00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a>.<a class="code" href="classfsqmat.html#5530d2756b5d991de755e6121c9a452e" title="Inplace symmetric multiplication by a SQUARE matrix , i.e. .">mult_sym</a> ( <a class="code" href="classbdm_1_1Kalman.html#0a2072e2090c10fac74ad30a023a4ace" title="Matrix A.">A</a> ); | 
                        | 318 |  | <a name="l00380"></a>00380 <a class="code" href="classbdm_1_1Kalman.html#00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a> +=<a class="code" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee" title="Matrix Q in square-root form.">Q</a>; | 
                        | 319 |  | <a name="l00381"></a>00381  | 
                        | 320 |  | <a name="l00382"></a>00382         < span class="comment">//Data update</span> | 
                        | 321 |  | <a name="l00383"></a>00383         phxu-><a class="code" href="classbdm_1_1diffbifn.html#651184f808a35f236dbfea21aca1b6ac" title="Evaluates  and writes result into A .">dfdx_cond</a> ( <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a>,u,<a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a>,<span class="keyword">false</span> ); <span class="comment">//update C by a derivative hx</span> | 
                        | 322 |  | <a name="l00384"></a>00384         < span class="comment">//_Ry = C*P*C.transpose() + R; in sq_T</span> | 
                        | 323 |  | <a name="l00385"></a>00385         <a class="code" href="classbdm_1_1Kalman.html# 00c27b0bf324f0018497921ca23c71ed" title="cache of est.R">_P</a>.<a class="code" href="classfsqmat.html#5530d2756b5d991de755e6121c9a452e" title="Inplace symmetric multiplication by a SQUARE matrix , i.e. .">mult_sym</a> ( <a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a>, <a class="code" href="classbdm_1_1Kalman.html#2dd268f2d7fbe6382cb8825a1114192a" title="cache of fy.R">_Ry</a> ); | 
                        | 324 |  | <a name="l00386"></a>00386         ( <a class="code" href="classbdm_1_1Kalman.html#2dd268f2d7fbe6382cb8825a1114192a" title="cache of fy.R">_Ry</a> ) +=<a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a>; | 
                      
                        |  | 308 | <a name="l00371"></a>00371 <span class="keyword">template</span><<span class="keyword">class</span> sq_T> | 
                        |  | 309 | <a name="l00372"></a><a class="code" href="classbdm_1_1EKF.html#00fec1a0a6a467eb83fb36c65eba7bcb">00372</a> <span class="keywordtype">void</span> <a class="code" href="classbdm_1_1EKF.html" title="Extended Kalman Filter.">EKF<sq_T>::set_parameters</a> ( <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* pfxu0,  <a class="code" href="classbdm_1_1diffbifn.html" title="Class representing a differentiable function of two variables .">diffbifn</a>* phxu0,<span class="keyword">const</span> sq_T Q0,<span class="keyword">const</span> sq_T R0 ) { | 
                        |  | 310 | <a name="l00373"></a>00373         pfxu = pfxu0; | 
                        |  | 311 | <a name="l00374"></a>00374         phxu = phxu0; | 
                        |  | 312 | <a name="l00375"></a>00375 | 
                        |  | 313 | <a name="l00376"></a>00376         <span class="comment">//initialize matrices A C, later, these will be only updated!</span> | 
                        |  | 314 | <a name="l00377"></a>00377         pfxu-><a class="code" href="classbdm_1_1diffbifn.html#651184f808a35f236dbfea21aca1b6ac" title="Evaluates  and writes result into A .">dfdx_cond</a> ( <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a>,zeros ( <a class="code" href="classbdm_1_1Kalman.html#c5136ef617f6ac0e426bea222755d92b" title="cache of rvu.count()">dimu</a> ),<a class="code" href="classbdm_1_1Kalman.html#0a2072e2090c10fac74ad30a023a4ace" title="Matrix A.">A</a>,<span class="keyword">true</span> ); | 
                        |  | 315 | <a name="l00378"></a>00378 <span class="comment">//      pfxu->dfdu_cond ( *_mu,zeros ( dimu ),B,true );</span> | 
                        |  | 316 | <a name="l00379"></a>00379         <a class="code" href="classbdm_1_1Kalman.html#5977b2c81857948a35105f0e7840203c" title="Matrix B.">B</a>.clear(); | 
                        |  | 317 | <a name="l00380"></a>00380         phxu-><a class="code" href="classbdm_1_1diffbifn.html#651184f808a35f236dbfea21aca1b6ac" title="Evaluates  and writes result into A .">dfdx_cond</a> ( <a class="code" href="classbdm_1_1Kalman.html#fa172078091e45561343fa513dd573b0" title="cache of est.mu">_mu</a>,zeros ( <a class="code" href="classbdm_1_1Kalman.html#c5136ef617f6ac0e426bea222755d92b" title="cache of rvu.count()">dimu</a> ),<a class="code" href="classbdm_1_1Kalman.html#818eba63a23972786a4579ad30294177" title="Matrix C.">C</a>,<span class="keyword">true</span> ); | 
                        |  | 318 | <a name="l00381"></a>00381 <span class="comment">//      phxu->dfdu_cond ( *_mu,zeros ( dimu ),D,true );</span> | 
                        |  | 319 | <a name="l00382"></a>00382         <a class="code" href="classbdm_1_1Kalman.html#7b56ac423d0654b5755e4f852a870456" title="Matrix D.">D</a>.clear(); | 
                        |  | 320 | <a name="l00383"></a>00383 | 
                        |  | 321 | <a name="l00384"></a>00384         <a class="code" href="classbdm_1_1Kalman.html#475b088287cdfbba4dc60a3d027728b7" title="Matrix R in square-root form.">R</a> = R0; | 
                        |  | 322 | <a name="l00385"></a>00385         <a class="code" href="classbdm_1_1Kalman.html#70f8bf19e81b532c60fd3a7a152425ee" title="Matrix Q in square-root form.">Q</a> = Q0; | 
                        |  | 323 | <a name="l00386"></a>00386 } |