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<div class="title">drowcol.c</div> </div>
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<a href="drowcol_8c.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001
<a name="l00002"></a>00002 <span class="keyword">typedef</span> <span class="keyword">struct </span>{
<a name="l00003"></a>00003 <span class="keywordtype">int</span> rc;
<a name="l00004"></a>00004 <span class="keyword">const</span> <span class="keywordtype">double</span> *val;
<a name="l00005"></a>00005 <span class="keywordtype">int</span> n;
<a name="l00006"></a>00006 <span class="keywordtype">double</span> x,y;
<a name="l00007"></a>00007 } rcmat;
<a name="l00008"></a>00008
<a name="l00009"></a>00009 <span class="preprocessor">#include "<a class="code" href="dsdpdatamat__impl_8h.html" title="Structure of function pointers that each SDP data matrix type (sparse, dense, constant, identity, ...) must implement.">dsdpdatamat_impl.h</a>"</span>
<a name="l00010"></a>00010 <span class="preprocessor">#include "<a class="code" href="dsdpsys_8h.html" title="Error handling, printing, and profiling.">dsdpsys.h</a>"</span>
<a name="l00017"></a>00017 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatDestroy(<span class="keywordtype">void</span>*);
<a name="l00018"></a>00018 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatView(<span class="keywordtype">void</span>*);
<a name="l00019"></a>00019 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatVecVec(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">double</span> *);
<a name="l00020"></a>00020 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatDot(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>, <span class="keywordtype">double</span> *);
<a name="l00021"></a>00021 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatGetRank(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>*, <span class="keywordtype">int</span>);
<a name="l00022"></a>00022 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatFactor(<span class="keywordtype">void</span>*);
<a name="l00023"></a>00023 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatGetEig(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">double</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>[], <span class="keywordtype">int</span>*);
<a name="l00024"></a>00024 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatAddRowMultiple(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">double</span>, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>);
<a name="l00025"></a>00025 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatAddMultiple(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>);
<a name="l00026"></a>00026 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatGetRowNnz(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">int</span>[], <span class="keywordtype">int</span>*, <span class="keywordtype">int</span>);
<a name="l00027"></a>00027
<a name="l00028"></a>00028 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatCreate(<span class="keywordtype">int</span> n,<span class="keywordtype">int</span> rowcol, <span class="keyword">const</span> <span class="keywordtype">double</span> v[], rcmat**M){
<a name="l00029"></a>00029 rcmat *M16;
<a name="l00030"></a>00030 M16=(rcmat*) malloc(1*<span class="keyword">sizeof</span>(rcmat));
<a name="l00031"></a>00031 M16->val=v;
<a name="l00032"></a>00032 M16->rc=rowcol;
<a name="l00033"></a>00033 M16->n=n;
<a name="l00034"></a>00034 *M=M16;
<a name="l00035"></a>00035 <span class="keywordflow">return</span> 0;
<a name="l00036"></a>00036 }
<a name="l00037"></a>00037
<a name="l00038"></a>00038 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatDestroy(<span class="keywordtype">void</span>* AA){
<a name="l00039"></a>00039 free(AA);
<a name="l00040"></a>00040 <span class="keywordflow">return</span> 0;
<a name="l00041"></a>00041 }
<a name="l00042"></a>00042 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatVecVec(<span class="keywordtype">void</span>* A, <span class="keywordtype">double</span> x[], <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *v){
<a name="l00043"></a>00043 rcmat*RC=(rcmat*)A;
<a name="l00044"></a>00044 <span class="keywordtype">int</span> i;
<a name="l00045"></a>00045 <span class="keywordtype">double</span> vv=0;
<a name="l00046"></a>00046 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=RC->val;
<a name="l00047"></a>00047 <span class="keywordflow">for</span> (i=0;i<n;i++){ vv+=val[i]*x[i];}
<a name="l00048"></a>00048 *v=2*vv*x[RC->rc];
<a name="l00049"></a>00049 <span class="keywordflow">return</span> 0;
<a name="l00050"></a>00050 }
<a name="l00051"></a>00051 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatDot(<span class="keywordtype">void</span>* A, <span class="keywordtype">double</span> x[], <span class="keywordtype">int</span> nn, <span class="keywordtype">int</span> n1, <span class="keywordtype">double</span> *v){
<a name="l00052"></a>00052 rcmat*RC=(rcmat*)A;
<a name="l00053"></a>00053 <span class="keywordtype">int</span> i,k=0,rc=RC->rc,n=RC->n;
<a name="l00054"></a>00054 <span class="keywordtype">double</span> vv=0;
<a name="l00055"></a>00055 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=RC->val;
<a name="l00056"></a>00056 k=rc*(rc+1)/2;
<a name="l00057"></a>00057 <span class="keywordflow">for</span> (i=0;i<=rc;i++,k++){ vv+=v[k]*val[i]; }
<a name="l00058"></a>00058 <span class="keywordflow">for</span> (i=rc+1;i<n;i++,k+=i){ vv+=v[k+rc]*val[i];}
<a name="l00059"></a>00059 *v=2*vv;
<a name="l00060"></a>00060 <span class="keywordflow">return</span> 0;
<a name="l00061"></a>00061 }
<a name="l00062"></a>00062 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatView(<span class="keywordtype">void</span>* A){
<a name="l00063"></a>00063 rcmat*RC=(rcmat*)A;
<a name="l00064"></a>00064 <span class="keywordtype">int</span> i;
<a name="l00065"></a>00065 printf(<span class="stringliteral">"Row Col %d\n"</span>,RC->rc);
<a name="l00066"></a>00066 <span class="keywordflow">for</span> (i=0;i<RC->n;i++){
<a name="l00067"></a>00067 printf(<span class="stringliteral">"%4.4e "</span>,RC->val[i]);
<a name="l00068"></a>00068 }
<a name="l00069"></a>00069 printf(<span class="stringliteral">"\n"</span>);
<a name="l00070"></a>00070 <span class="keywordflow">return</span> 0;
<a name="l00071"></a>00071 }
<a name="l00072"></a>00072
<a name="l00073"></a>00073 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatFactor(<span class="keywordtype">void</span>* A){
<a name="l00074"></a>00074 <span class="comment">/* Must compute x,y such that eigs are orthogonal */</span>
<a name="l00075"></a>00075 rcmat*RC=(rcmat*)A;
<a name="l00076"></a>00076 <span class="keywordtype">int</span> i,rc=RC->rc;
<a name="l00077"></a>00077 <span class="keywordtype">double</span> vnorm2=0;
<a name="l00078"></a>00078 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=RC->val;
<a name="l00079"></a>00079 <span class="keywordflow">for</span> (i=0;i<RC->n;i++){ vnorm2+=val[i]*val[i];}
<a name="l00080"></a>00080 vnorm2=sqrt(vnorm2);
<a name="l00081"></a>00081 <span class="keywordflow">if</span> (val[rc]>=0){
<a name="l00082"></a>00082 RC->y=-sqrt(vnorm2);
<a name="l00083"></a>00083 RC->x=sqrt(2*val[rc]+RC->y*RC->y);
<a name="l00084"></a>00084 } <span class="keywordflow">else</span> {
<a name="l00085"></a>00085 RC->x=sqrt(vnorm2);
<a name="l00086"></a>00086 RC->y=-sqrt(-2*val[rc]+RC->x*RC->x);
<a name="l00087"></a>00087 }
<a name="l00088"></a>00088 <span class="keywordflow">return</span> 0;
<a name="l00089"></a>00089 }
<a name="l00090"></a>00090 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatGetRank(<span class="keywordtype">void</span> *A, <span class="keywordtype">int</span>*rank, <span class="keywordtype">int</span> n){
<a name="l00091"></a>00091 *rank=2;
<a name="l00092"></a>00092 <span class="keywordflow">return</span> 0;
<a name="l00093"></a>00093 }
<a name="l00094"></a>00094
<a name="l00095"></a>00095 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatGetEig(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> neig, <span class="keywordtype">double</span> *eig, <span class="keywordtype">double</span> v[], <span class="keywordtype">int</span> n,<span class="keywordtype">int</span> spind[], <span class="keywordtype">int</span> *nind){
<a name="l00096"></a>00096 rcmat*RC=(rcmat*)A;
<a name="l00097"></a>00097 <span class="keywordtype">int</span> i,rc=RC->rc;
<a name="l00098"></a>00098 <span class="keywordtype">double</span> x=RC->x,y=RC->y,xmy=x-y;
<a name="l00099"></a>00099 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=RC->val;
<a name="l00100"></a>00100 <span class="keywordflow">if</span> (neig==0){
<a name="l00101"></a>00101 <span class="keywordflow">for</span> (i=0;i<n;i++){spind[i]=i;}
<a name="l00102"></a>00102 <span class="keywordflow">for</span> (i=0;i<n;i++){v[i]=val[i]/xmy;}
<a name="l00103"></a>00103 v[rc]=RC->x;
<a name="l00104"></a>00104 *nind=n;
<a name="l00105"></a>00105 *eig=1.0;
<a name="l00106"></a>00106 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (neig==1){
<a name="l00107"></a>00107 <span class="keywordflow">for</span> (i=0;i<n;i++){spind[i]=i;}
<a name="l00108"></a>00108 <span class="keywordflow">for</span> (i=0;i<n;i++){v[i]=val[i]/xmy;}
<a name="l00109"></a>00109 v[rc]=RC->y;
<a name="l00110"></a>00110 *nind=n;
<a name="l00111"></a>00111 *eig=-1.0;
<a name="l00112"></a>00112 } <span class="keywordflow">else</span> { *eig=0;*nind=0;}
<a name="l00113"></a>00113 <span class="keywordflow">return</span> 0;
<a name="l00114"></a>00114 }
<a name="l00115"></a>00115
<a name="l00116"></a>00116 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatGetRowNnz(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> nrow, <span class="keywordtype">int</span> nz[], <span class="keywordtype">int</span> *nnzz, <span class="keywordtype">int</span> n){
<a name="l00117"></a>00117 rcmat*RC=(rcmat*)A;
<a name="l00118"></a>00118 <span class="keywordtype">int</span> i;
<a name="l00119"></a>00119 *nnzz=1;
<a name="l00120"></a>00120 <span class="keywordflow">if</span> (nrow==RC->rc){<span class="keywordflow">for</span> (i=0;i<n;i++){nz[i]++;}*nnzz=n;}
<a name="l00121"></a>00121 nz[nrow]++;
<a name="l00122"></a>00122 <span class="keywordflow">return</span> 0;
<a name="l00123"></a>00123 }
<a name="l00124"></a>00124
<a name="l00125"></a>00125 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatAddRowMultiple(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> nrow, <span class="keywordtype">double</span> dd, <span class="keywordtype">double</span> rrow[], <span class="keywordtype">int</span> n){
<a name="l00126"></a>00126 rcmat*RC=(rcmat*)A;
<a name="l00127"></a>00127 <span class="keywordtype">int</span> i;
<a name="l00128"></a>00128 <span class="keywordflow">if</span> (nrow==RC->rc){
<a name="l00129"></a>00129 <span class="keywordflow">for</span> (i=0;i<n;i++){rrow[i]+=dd*RC->val[i];}
<a name="l00130"></a>00130 }
<a name="l00131"></a>00131 rrow[nrow]+=dd*RC->val[nrow];
<a name="l00132"></a>00132 <span class="keywordflow">return</span> 0;
<a name="l00133"></a>00133 }
<a name="l00134"></a>00134 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatAddMultiple(<span class="keywordtype">void</span>*A, <span class="keywordtype">double</span> dd, <span class="keywordtype">double</span> vv[], <span class="keywordtype">int</span> nn, <span class="keywordtype">int</span> n1){
<a name="l00135"></a>00135 rcmat*RC=(rcmat*)A;
<a name="l00136"></a>00136 <span class="keywordtype">int</span> i,rc=RC->rc,k=rc*(rc+1)/2,n=RC->n;
<a name="l00137"></a>00137 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=RC->val;
<a name="l00138"></a>00138 for (i=0;i<=rc;i++,k++){
<a name="l00139"></a>00139 vv[k]+=dd*val[i];
<a name="l00140"></a>00140 }
<a name="l00141"></a>00141 <span class="keywordflow">for</span> (i=rc+1;i<n;i++,k+=i){
<a name="l00142"></a>00142 vv[k+rc]+=dd*val[i];
<a name="l00143"></a>00143 }
<a name="l00144"></a>00144 <span class="keywordflow">return</span> 0;
<a name="l00145"></a>00145 }
<a name="l00146"></a>00146 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatFNorm(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *fnorm){
<a name="l00147"></a>00147 rcmat*RC=(rcmat*)A;
<a name="l00148"></a>00148 <span class="keywordtype">int</span> i,rc=RC->rc;
<a name="l00149"></a>00149 <span class="keywordtype">double</span> ff=0;
<a name="l00150"></a>00150 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=RC->val;
<a name="l00151"></a>00151 <span class="keywordflow">for</span> (i=0;i<n;i++){
<a name="l00152"></a>00152 ff+=val[i]*val[i];
<a name="l00153"></a>00153 }
<a name="l00154"></a>00154 ff*=2;
<a name="l00155"></a>00155 ff+=2*val[rc]*val[rc];
<a name="l00156"></a>00156 *fnorm=ff;
<a name="l00157"></a>00157 <span class="keywordflow">return</span> 0;
<a name="l00158"></a>00158 }
<a name="l00159"></a>00159 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatCountNonzeros(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> *nnz, <span class="keywordtype">int</span> n){
<a name="l00160"></a>00160 *nnz=2*n-1;
<a name="l00161"></a>00161 <span class="keywordflow">return</span> 0;
<a name="l00162"></a>00162 }
<a name="l00163"></a>00163 <span class="keyword">static</span> <span class="keyword">struct </span><a class="code" href="structDSDPDataMat__Ops.html" title="Table of function pointers that operate on the data matrix.">DSDPDataMat_Ops</a> rcmatops;
<a name="l00164"></a>00164 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *datamatname=<span class="stringliteral">"One Row and Column matrix"</span>;
<a name="l00165"></a>00165 <span class="keyword">static</span> <span class="keywordtype">int</span> RCMatOperationsInitialize(<span class="keyword">struct</span> <a class="code" href="structDSDPDataMat__Ops.html" title="Table of function pointers that operate on the data matrix.">DSDPDataMat_Ops</a>* rcmatoperator){
<a name="l00166"></a>00166 <span class="keywordtype">int</span> info;
<a name="l00167"></a>00167 <span class="keywordflow">if</span> (rcmatoperator==NULL) <span class="keywordflow">return</span> 0;
<a name="l00168"></a>00168 info=<a class="code" href="dsdpdatamat_8c.html#a5d7a246134aa5186463e0f1f0fd561bd" title="Initialize the table of function pointers for SDP Data matrices.">DSDPDataMatOpsInitialize</a>(rcmatoperator); <span class="keywordflow">if</span> (info){ <span class="keywordflow">return</span> info;}
<a name="l00169"></a>00169 rcmatoperator->matfactor1=RCMatFactor;
<a name="l00170"></a>00170 rcmatoperator->matgetrank=RCMatGetRank;
<a name="l00171"></a>00171 rcmatoperator->matgeteig=RCMatGetEig;
<a name="l00172"></a>00172 rcmatoperator->matvecvec=RCMatVecVec;
<a name="l00173"></a>00173 rcmatoperator->matrownz=RCMatGetRowNnz;
<a name="l00174"></a>00174 rcmatoperator->matdot=RCMatDot;
<a name="l00175"></a>00175 rcmatoperator->matfnorm2=RCMatFNorm;
<a name="l00176"></a>00176 rcmatoperator->matnnz=RCMatCountNonzeros;
<a name="l00177"></a>00177 rcmatoperator->mataddrowmultiple=RCMatAddRowMultiple;
<a name="l00178"></a>00178 rcmatoperator->mataddallmultiple=RCMatAddMultiple;
<a name="l00179"></a>00179 rcmatoperator->matdestroy=RCMatDestroy;
<a name="l00180"></a>00180 rcmatoperator->matview=RCMatView;
<a name="l00181"></a>00181 rcmatoperator->matname=datamatname;
<a name="l00182"></a>00182 rcmatoperator->id=27;
<a name="l00183"></a>00183 <span class="keywordflow">return</span> 0;
<a name="l00184"></a>00184 }
<a name="l00185"></a>00185
<a name="l00186"></a>00186
<a name="l00187"></a>00187 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00188"></a>00188 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPGetRCMat"</span>
<a name="l00189"></a>00189 <span class="preprocessor"></span><span class="keywordtype">int</span> DSDPGetRCMat(<span class="keywordtype">int</span> n,<span class="keyword">const</span> <span class="keywordtype">double</span> val[],<span class="keywordtype">int</span> rowcol, <span class="keyword">struct</span> <a class="code" href="structDSDPDataMat__Ops.html" title="Table of function pointers that operate on the data matrix.">DSDPDataMat_Ops</a>**sops, <span class="keywordtype">void</span>**smat){
<a name="l00190"></a>00190 rcmat *AA;
<a name="l00191"></a>00191 <span class="keywordtype">int</span> info;
<a name="l00192"></a>00192 DSDPFunctionBegin;
<a name="l00193"></a>00193 info=RCMatCreate(n,rowcol,val,&AA);DSDPCHKERR(info);
<a name="l00194"></a>00194 info=RCMatOperationsInitialize(&rcmatops); DSDPCHKERR(info);
<a name="l00195"></a>00195 <span class="keywordflow">if</span> (sops){*sops=&rcmatops;}
<a name="l00196"></a>00196 <span class="keywordflow">if</span> (smat){*smat=(<span class="keywordtype">void</span>*)AA;}
<a name="l00197"></a>00197 DSDPFunctionReturn(0);
<a name="l00198"></a>00198 }
<a name="l00199"></a>00199
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