1 | /*! |
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2 | * \file |
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3 | * \brief Matrices in decomposed forms (LDL', LU, UDU', etc). |
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4 | * \author Vaclav Smidl. |
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5 | * |
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6 | * ----------------------------------- |
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7 | * BDM++ - C++ library for Bayesian Decision Making under Uncertainty |
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8 | * |
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9 | * Using IT++ for numerical operations |
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10 | * ----------------------------------- |
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11 | */ |
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12 | |
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13 | #ifndef CHMAT_H |
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14 | #define CHMAT_H |
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15 | |
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16 | |
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17 | #include "square_mat.h" |
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18 | |
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19 | /*! \brief Symmetric matrix stored in square root decomposition using upper cholesky |
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20 | |
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21 | This matrix represent \f$A=Ch' Ch\f$ where only the upper triangle \f$Ch\f$ is stored; |
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22 | |
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23 | */ |
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24 | class chmat : public sqmat { |
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25 | protected: |
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26 | //! Upper triangle of the cholesky matrix |
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27 | mat Ch; |
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28 | public: |
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29 | |
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30 | void opupdt ( const vec &v, double w ); |
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31 | mat to_mat() const; |
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32 | void mult_sym ( const mat &C ); |
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33 | void mult_sym ( const mat &C , chmat &U ) const; |
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34 | void mult_sym_t ( const mat &C ); |
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35 | void mult_sym_t ( const mat &C, chmat &U ) const; |
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36 | double logdet() const; |
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37 | vec sqrt_mult ( const vec &v ) const; |
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38 | double qform ( const vec &v ) const; |
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39 | double invqform ( const vec &v ) const; |
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40 | void clear(); |
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41 | //! add another chmat \c A2 with weight \c w. |
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42 | void add ( const chmat &A2, double w=1.0 ) { |
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43 | it_assert_debug(dim==A2.dim,"Matrices of unequal dimension"); |
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44 | mat pre=concat_vertical(Ch,sqrt(w)*A2.Ch); |
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45 | mat post=zeros(pre.rows(),pre.cols()); |
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46 | if(!qr(pre,post)) {it_warning("Unstable QR in chmat add");} |
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47 | Ch=post(0,dim-1,0,dim-1); |
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48 | }; |
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49 | //!Inversion in the same form, i.e. cholesky |
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50 | void inv ( chmat &Inv ) const { ( Inv.Ch ) = itpp::inv ( Ch ).T();}; //Fixme: can be more efficient |
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51 | ; |
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52 | // void inv ( mat &Inv ); |
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53 | |
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54 | //! Destructor for future use; |
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55 | virtual ~chmat() {}; |
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56 | //! |
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57 | chmat ( ) : sqmat (),Ch ( ) {}; |
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58 | //! Default constructor |
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59 | chmat ( const int dim0 ) : sqmat ( dim0 ),Ch ( dim0,dim0 ) {}; |
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60 | //! Default constructor |
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61 | chmat ( const vec &v) : sqmat ( v.length() ),Ch ( diag(sqrt(v)) ) {}; |
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62 | //! Copy constructor |
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63 | chmat ( const chmat &Ch0) : sqmat ( Ch0.dim),Ch ( Ch0.dim,Ch0.dim ) {Ch=Ch0.Ch;}; |
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64 | //! Default constructor (m3k:cholform) |
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65 | chmat ( const mat &M ) : sqmat ( M.rows() ),Ch ( M.rows(),M.cols() ) { |
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66 | mat Q; |
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67 | it_assert_debug ( M.rows() ==M.cols(),"chmat:: input matrix must be square!" ); |
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68 | Ch=chol ( M ); |
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69 | }; |
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70 | //! Constructor |
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71 | chmat ( const chmat &M, const ivec &perm ):sqmat(M.rows()){it_error("not implemneted");}; |
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72 | //! Access function |
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73 | mat & _Ch() {return Ch;} |
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74 | //! Access function |
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75 | const mat & _Ch() const {return Ch;} |
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76 | //! Access functions |
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77 | void setD ( const vec &nD ) {Ch=diag ( sqrt(nD) );} |
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78 | //! Access functions |
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79 | void setCh ( const vec &chQ ) { |
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80 | it_assert_debug(chQ.length()==dim*dim,""); |
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81 | copy_vector(dim*dim, chQ._data(), Ch._data()); |
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82 | } |
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83 | //! Access functions |
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84 | void setD ( const vec &nD, int i ) {for ( int j=i;j<nD.length();j++ ) {Ch( j,j ) =sqrt(nD ( j-i ));}} //Fixme can be more general |
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85 | |
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86 | //! Operators |
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87 | chmat& operator += ( const chmat &A2 ); |
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88 | chmat& operator -= ( const chmat &A2 ); |
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89 | chmat& operator * ( const double &d ){Ch*sqrt(d); return *this;}; |
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90 | chmat& operator = ( const chmat &A2 ){Ch=A2.Ch;dim=A2.dim;return *this;} |
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91 | chmat& operator *= ( double x ){Ch*=sqrt(x); return *this;}; |
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92 | }; |
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93 | |
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94 | |
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95 | //////// Operations: |
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96 | //!mapping of add operation to operators |
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97 | inline chmat& chmat::operator += ( const chmat &A2 ) {this->add ( A2 );return *this;} |
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98 | //!mapping of negative add operation to operators |
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99 | inline chmat& chmat::operator -= ( const chmat &A2 ) {this->add ( A2,-1.0 );return *this;} |
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100 | |
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101 | #endif // CHMAT_H |
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