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| 15 | <h1>work/mixpp/bdm/math/libDC.h</h1><a href="libDC_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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| 16 | <a name="l00013"></a>00013 <span class="preprocessor">#ifndef DC_H</span> | 
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| 17 | <a name="l00014"></a>00014 <span class="preprocessor"></span><span class="preprocessor">#define DC_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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| 20 | <a name="l00017"></a>00017 | 
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| 21 | <a name="l00018"></a>00018 <span class="keyword">using namespace </span>itpp; | 
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| 22 | <a name="l00019"></a>00019 | 
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| 23 | <a name="l00024"></a><a class="code" href="classsqmat.html">00024</a> <span class="keyword">class </span><a class="code" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square-root form...">sqmat</a> { | 
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| 24 | <a name="l00025"></a>00025 <span class="keyword">public</span>: | 
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| 25 | <a name="l00033"></a>00033         <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">opupdt</a>( <span class="keyword">const</span> vec &v, <span class="keywordtype">double</span> w ) =0; | 
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| 26 | <a name="l00034"></a>00034 | 
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| 27 | <a name="l00038"></a>00038         <span class="keyword">virtual</span> mat <a class="code" href="classsqmat.html#9a5b6fddfeb42339e1dc9b978a2590fc" title="Conversion to full matrix.">to_mat</a>() =0; | 
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| 28 | <a name="l00039"></a>00039 | 
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| 29 | <a name="l00044"></a>00044         <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classsqmat.html#faa3bc90be142adde9cf74f573c70157" title="Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C&#39;$.">mult_sym</a>( <span class="keyword">const</span> mat &C, <span class="keywordtype">bool</span> trans=<span class="keyword">true</span> ) =0; | 
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| 30 | <a name="l00045"></a>00045 | 
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| 31 | <a name="l00046"></a>00046 | 
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| 32 | <a name="l00051"></a>00051         <span class="keyword">virtual</span> <span class="keywordtype">double</span> <a class="code" href="classsqmat.html#5c852819589f74cdaefbd648c0ce8547" title="Logarithm of a determinant.">logdet</a>() =0; | 
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| 33 | <a name="l00052"></a>00052 | 
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| 34 | <a name="l00058"></a>00058         <span class="keyword">virtual</span> vec <a class="code" href="classsqmat.html#b5236c8a050199e1a9d338b0da1a08d2" title="Multiplies square root of $V$ by vector $x$.">sqrt_mult</a>(vec &v) =0; | 
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| 35 | <a name="l00059"></a>00059 | 
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| 36 | <a name="l00064"></a>00064         <span class="keyword">virtual</span> <span class="keywordtype">double</span> <a class="code" href="classsqmat.html#44e079468bc8bfccf634dc85b32ba6be" title="Evaluates quadratic form $x= v&#39;*V*v$;.">qform</a>(vec &v) =0; | 
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| 37 | <a name="l00065"></a>00065 | 
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| 38 | <a name="l00066"></a>00066 <span class="comment">//      //! easy version of the </span> | 
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| 39 | <a name="l00067"></a>00067 <span class="comment">//      sqmat inv();</span> | 
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| 40 | <a name="l00068"></a>00068 | 
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| 41 | <a name="l00070"></a>00070         <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classsqmat.html#6fca246f9eabbdeb8cac03030e826b5e" title="Clearing matrix so that it corresponds to zeros.">clear</a>() =0; | 
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| 42 | <a name="l00071"></a>00071 | 
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| 43 | <a name="l00073"></a>00073         <span class="keyword">virtual</span> <span class="keywordtype">int</span> <a class="code" href="classsqmat.html#743d3799d9e73403230c54e14ecf09ed" title="Reimplementing common functions of mat: cols().">cols</a>() =0; | 
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| 44 | <a name="l00074"></a>00074 | 
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| 45 | <a name="l00076"></a>00076         <span class="keyword">virtual</span> <span class="keywordtype">int</span> <a class="code" href="classsqmat.html#f59664a4be09450f8c6ce3f5e5ab2dc7" title="Reimplementing common functions of mat: cols().">rows</a>() =0; | 
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| 46 | <a name="l00077"></a>00077 | 
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| 47 | <a name="l00078"></a>00078 <span class="keyword">protected</span>: | 
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| 48 | <a name="l00079"></a>00079         <span class="keywordtype">int</span> dim; | 
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| 49 | <a name="l00080"></a>00080 }; | 
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| 50 | <a name="l00081"></a>00081 | 
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| 51 | <a name="l00082"></a>00082 | 
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| 52 | <a name="l00087"></a><a class="code" href="classfsqmat.html">00087</a> <span class="keyword">class </span><a class="code" href="classfsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a>: <a class="code" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square-root form...">sqmat</a> { | 
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| 53 | <a name="l00088"></a>00088         <span class="keywordtype">void</span> opupdt( <span class="keyword">const</span> vec &v, <span class="keywordtype">double</span> w ); | 
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| 54 | <a name="l00089"></a>00089         mat to_mat(); | 
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| 55 | <a name="l00090"></a>00090         <span class="keywordtype">void</span> mult_sym( <span class="keyword">const</span> mat &C, <span class="keywordtype">bool</span> trans=<span class="keyword">false</span> ); | 
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| 56 | <a name="l00091"></a>00091    <span class="keywordtype">void</span> mult_sym( <span class="keyword">const</span> mat &C, <a class="code" href="classfsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a> &U, <span class="keywordtype">bool</span> trans=<span class="keyword">false</span> ); | 
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| 57 | <a name="l00092"></a>00092         <span class="keywordtype">void</span> inv(<a class="code" href="classfsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a> &Inv); | 
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| 58 | <a name="l00093"></a>00093         <span class="keywordtype">void</span> clear(); | 
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| 59 | <a name="l00094"></a>00094 | 
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| 60 | <a name="l00095"></a>00095 | 
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| 61 | <a name="l00097"></a>00097         <a class="code" href="classfsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a>(<span class="keyword">const</span> mat &M); | 
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| 62 | <a name="l00098"></a>00098 | 
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| 63 | <a name="l00104"></a>00104         <span class="keyword">virtual</span> <span class="keywordtype">void</span> inv(<a class="code" href="classfsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a>* Inv); | 
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| 64 | <a name="l00105"></a>00105 | 
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| 65 | <a name="l00106"></a>00106 | 
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| 66 | <a name="l00107"></a>00107 }; | 
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| 67 | <a name="l00108"></a>00108 | 
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| 68 | <a name="l00109"></a>00109 <span class="keyword">class </span>ldmat: <a class="code" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square-root form...">sqmat</a> { | 
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| 69 | <a name="l00110"></a>00110 <span class="keyword">public</span>: | 
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| 70 | <a name="l00111"></a>00111 | 
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| 71 | <a name="l00113"></a>00113         ldmat( <span class="keyword">const</span> mat &L, <span class="keyword">const</span> vec &D ); | 
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| 72 | <a name="l00115"></a>00115         ldmat( mat V ); | 
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| 73 | <a name="l00117"></a>00117         ldmat( vec D0 ); | 
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| 74 | <a name="l00118"></a>00118         ldmat (); | 
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| 75 | <a name="l00119"></a>00119 | 
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| 76 | <a name="l00120"></a>00120         <span class="comment">// Reimplementation of compulsory operatios</span> | 
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| 77 | <a name="l00121"></a>00121 | 
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| 78 | <a name="l00122"></a>00122         <span class="keywordtype">void</span> <a class="code" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">opupdt</a>( <span class="keyword">const</span> vec &v, <span class="keywordtype">double</span> w ); | 
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| 79 | <a name="l00123"></a>00123         mat <a class="code" href="classsqmat.html#9a5b6fddfeb42339e1dc9b978a2590fc" title="Conversion to full matrix.">to_mat</a>(); | 
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| 80 | <a name="l00124"></a>00124    <span class="keywordtype">void</span> <a class="code" href="classsqmat.html#faa3bc90be142adde9cf74f573c70157" title="Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C&#39;$.">mult_sym</a>( <span class="keyword">const</span> mat &C, <span class="keywordtype">bool</span> trans=<span class="keyword">false</span> ); | 
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| 81 | <a name="l00125"></a>00125         <span class="keywordtype">void</span> <span class="keyword">add</span> ( <span class="keyword">const</span> ldmat &ld2, <span class="keywordtype">double</span> w=1.0 ); | 
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| 82 | <a name="l00126"></a>00126         <span class="keywordtype">double</span> <a class="code" href="classsqmat.html#5c852819589f74cdaefbd648c0ce8547" title="Logarithm of a determinant.">logdet</a>(); | 
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| 83 | <a name="l00127"></a>00127         <span class="keywordtype">double</span> <a class="code" href="classsqmat.html#44e079468bc8bfccf634dc85b32ba6be" title="Evaluates quadratic form $x= v&#39;*V*v$;.">qform</a>(vec &v); | 
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| 84 | <a name="l00128"></a>00128 <span class="comment">//      sqmat& operator -= ( const sqmat & ld2 );</span> | 
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| 85 | <a name="l00129"></a>00129         <span class="keywordtype">void</span> <a class="code" href="classsqmat.html#6fca246f9eabbdeb8cac03030e826b5e" title="Clearing matrix so that it corresponds to zeros.">clear</a>(); | 
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| 86 | <a name="l00130"></a>00130         <span class="keywordtype">int</span> <a class="code" href="classsqmat.html#743d3799d9e73403230c54e14ecf09ed" title="Reimplementing common functions of mat: cols().">cols</a>(); | 
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| 87 | <a name="l00131"></a>00131         <span class="keywordtype">int</span> <a class="code" href="classsqmat.html#f59664a4be09450f8c6ce3f5e5ab2dc7" title="Reimplementing common functions of mat: cols().">rows</a>(); | 
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| 88 | <a name="l00132"></a>00132         vec <a class="code" href="classsqmat.html#b5236c8a050199e1a9d338b0da1a08d2" title="Multiplies square root of $V$ by vector $x$.">sqrt_mult</a>(vec &v); | 
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| 89 | <a name="l00133"></a>00133 | 
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| 90 | <a name="l00139"></a>00139         <span class="keyword">virtual</span> <span class="keywordtype">void</span> inv(ldmat &Inv); | 
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| 91 | <a name="l00140"></a>00140 | 
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| 92 | <a name="l00146"></a>00146    <span class="keywordtype">void</span> <a class="code" href="classsqmat.html#faa3bc90be142adde9cf74f573c70157" title="Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C&#39;$.">mult_sym</a>( <span class="keyword">const</span> mat &C, ldmat &U, <span class="keywordtype">bool</span> trans=<span class="keyword">false</span> ); | 
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| 93 | <a name="l00147"></a>00147 | 
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| 94 | <a name="l00156"></a>00156    <span class="keywordtype">void</span> ldform( mat &A, vec &D0 ); | 
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| 95 | <a name="l00157"></a>00157 | 
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| 96 | <a name="l00158"></a>00158         ldmat& operator += (<span class="keyword">const</span> ldmat &ldA); | 
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| 97 | <a name="l00159"></a>00159         ldmat& operator -= (<span class="keyword">const</span> ldmat &ldA); | 
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| 98 | <a name="l00160"></a>00160         ldmat& operator *= (<span class="keywordtype">double</span> x); | 
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| 99 | <a name="l00161"></a>00161 | 
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| 100 | <a name="l00162"></a>00162         <span class="keyword">friend</span> std::ostream &operator<< ( std::ostream &os, ldmat &sq ); | 
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| 101 | <a name="l00163"></a>00163 | 
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| 102 | <a name="l00164"></a>00164 <span class="keyword">protected</span>: | 
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| 103 | <a name="l00165"></a>00165         vec D; | 
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| 104 | <a name="l00166"></a>00166         mat L; | 
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| 105 | <a name="l00167"></a>00167 | 
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| 106 | <a name="l00168"></a>00168 }; | 
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| 107 | <a name="l00169"></a>00169 | 
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| 108 | <a name="l00171"></a>00171 | 
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| 109 | <a name="l00172"></a>00172 <span class="keyword">inline</span> ldmat& ldmat::operator += (<span class="keyword">const</span> ldmat &ldA)  {this-><span class="keyword">add</span>(ldA);<span class="keywordflow">return</span> *<span class="keyword">this</span>;} | 
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| 110 | <a name="l00173"></a>00173 <span class="keyword">inline</span> ldmat& ldmat::operator -= (<span class="keyword">const</span> ldmat &ldA)  {this-><span class="keyword">add</span>(ldA,-1.0);<span class="keywordflow">return</span> *<span class="keyword">this</span>;} | 
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| 111 | <a name="l00174"></a>00174 <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="classsqmat.html#743d3799d9e73403230c54e14ecf09ed" title="Reimplementing common functions of mat: cols().">ldmat::cols</a>(){<span class="keywordflow">return</span> dim;} | 
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| 112 | <a name="l00175"></a>00175 <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="classsqmat.html#f59664a4be09450f8c6ce3f5e5ab2dc7" title="Reimplementing common functions of mat: cols().">ldmat::rows</a>(){<span class="keywordflow">return</span> dim;} | 
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| 113 | <a name="l00176"></a>00176 | 
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| 114 | <a name="l00177"></a>00177 <span class="preprocessor">#endif // DC_H</span> | 
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| 115 | </pre></div><hr size="1"><address style="text-align: right;"><small>Generated on Fri Feb 15 18:57:36 2008 for mixpp by  | 
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| 117 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.3 </small></address> | 
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