<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<title>DSDP: src/vecmat/vech.c Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<link href="doxygen.css" rel="stylesheet" type="text/css"/>
</head>
<body>
<!-- Generated by Doxygen 1.7.4 -->
<div id="top">
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td style="padding-left: 0.5em;">
<div id="projectname">DSDP</div>
</td>
</tr>
</tbody>
</table>
</div>
<div id="navrow1" class="tabs">
<ul class="tablist">
<li><a href="index.html"><span>Main Page</span></a></li>
<li><a href="pages.html"><span>Related Pages</span></a></li>
<li><a href="modules.html"><span>Modules</span></a></li>
<li><a href="annotated.html"><span>Data Structures</span></a></li>
<li class="current"><a href="files.html"><span>Files</span></a></li>
<li><a href="dirs.html"><span>Directories</span></a></li>
</ul>
</div>
<div id="navrow2" class="tabs2">
<ul class="tablist">
<li><a href="files.html"><span>File List</span></a></li>
<li><a href="globals.html"><span>Globals</span></a></li>
</ul>
</div>
<div id="nav-path" class="navpath">
<ul>
<li class="navelem"><a class="el" href="dir_23046874d7fed141927c769a66d8e3a5.html">src</a> </li>
<li class="navelem"><a class="el" href="dir_9706e2f7b84d8f85001c7784fc3e51fe.html">vecmat</a> </li>
</ul>
</div>
</div>
<div class="header">
<div class="headertitle">
<div class="title">vech.c</div> </div>
</div>
<div class="contents">
<a href="vech_8c.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <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="l00002"></a>00002 <span class="preprocessor">#include "<a class="code" href="dsdpsys_8h.html" title="Error handling, printing, and profiling.">dsdpsys.h</a>"</span>
<a name="l00007"></a>00007 <span class="keyword">typedef</span> <span class="keyword">struct </span>{
<a name="l00008"></a>00008 <span class="keywordtype">int</span> neigs;
<a name="l00009"></a>00009 <span class="keywordtype">double</span> *eigval;
<a name="l00010"></a>00010 <span class="keywordtype">double</span> *an;
<a name="l00011"></a>00011 <span class="keywordtype">int</span> *cols,*nnz;
<a name="l00012"></a>00012 } Eigen;
<a name="l00013"></a>00013
<a name="l00019"></a>00019 <span class="keyword">typedef</span> <span class="keyword">struct </span>{
<a name="l00020"></a>00020 <span class="keywordtype">int</span> nnzeros;
<a name="l00021"></a>00021 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind;
<a name="l00022"></a>00022 <span class="keyword">const</span> <span class="keywordtype">double</span> *val;
<a name="l00023"></a>00023 <span class="keywordtype">int</span> ishift;
<a name="l00024"></a>00024 <span class="keywordtype">double</span> alpha;
<a name="l00025"></a>00025
<a name="l00026"></a>00026 Eigen *Eig;
<a name="l00027"></a>00027 <span class="keywordtype">int</span> factored;
<a name="l00028"></a>00028 <span class="keywordtype">int</span> owndata;
<a name="l00029"></a>00029 <span class="keywordtype">int</span> n;
<a name="l00030"></a>00030 } vechmat;
<a name="l00031"></a>00031
<a name="l00032"></a>00032 <span class="preprocessor">#define GETI(a) (int)(sqrt(2*(a)+0.25)-0.5)</span>
<a name="l00033"></a>00033 <span class="preprocessor"></span><span class="preprocessor">#define GETJ(b,c) ((b)-((c)*((c)+1))/2)</span>
<a name="l00034"></a>00034 <span class="preprocessor"></span>
<a name="l00035"></a>00035 <span class="keyword">static</span> <span class="keywordtype">void</span> getij(<span class="keywordtype">int</span> k, <span class="keywordtype">int</span> *i,<span class="keywordtype">int</span> *j){
<a name="l00036"></a>00036 *i=GETI(k);
<a name="l00037"></a>00037 *j=GETJ(k,*i);
<a name="l00038"></a>00038 <span class="keywordflow">return</span>;
<a name="l00039"></a>00039 }
<a name="l00040"></a>00040 <span class="comment">/*</span>
<a name="l00041"></a>00041 <span class="comment">static void geti2(int k, int *i,int *j){</span>
<a name="l00042"></a>00042 <span class="comment"> int r,c;</span>
<a name="l00043"></a>00043 <span class="comment"> double rr=sqrt(2*k+0.25)-0.5;</span>
<a name="l00044"></a>00044 <span class="comment"> r=(int)rr;</span>
<a name="l00045"></a>00045 <span class="comment"> c=k-(r*(r+1))/2;</span>
<a name="l00046"></a>00046 <span class="comment"> *i=r;*j=c;</span>
<a name="l00047"></a>00047 <span class="comment"> return;</span>
<a name="l00048"></a>00048 <span class="comment">}</span>
<a name="l00049"></a>00049 <span class="comment">*/</span>
<a name="l00050"></a>00050 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00051"></a>00051 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "CreateVechMatWData"</span>
<a name="l00052"></a>00052 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> CreateVechMatWdata(<span class="keywordtype">int</span> n, <span class="keywordtype">int</span> ishift, <span class="keywordtype">double</span> alpha,<span class="keyword">const</span> <span class="keywordtype">int</span> *ind, <span class="keyword">const</span> <span class="keywordtype">double</span> *vals, <span class="keywordtype">int</span> nnz, vechmat **A){
<a name="l00053"></a>00053 <span class="keywordtype">int</span> info;
<a name="l00054"></a>00054 vechmat* V;
<a name="l00055"></a>00055 DSDPCALLOC1(&V,vechmat,&info);DSDPCHKERR(info);
<a name="l00056"></a>00056 V->n=n; V->ishift=ishift, V->ind=ind; V->val=vals;V->nnzeros=nnz;
<a name="l00057"></a>00057 V->alpha=alpha;
<a name="l00058"></a>00058 V->owndata=0;
<a name="l00059"></a>00059 V->Eig=0;
<a name="l00060"></a>00060 *A=V;
<a name="l00061"></a>00061 <span class="keywordflow">return</span> 0;
<a name="l00062"></a>00062 }
<a name="l00063"></a>00063
<a name="l00064"></a>00064
<a name="l00065"></a>00065 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatAddMultiple(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> scl, <span class="keywordtype">double</span> r[], <span class="keywordtype">int</span> nn, <span class="keywordtype">int</span> n){
<a name="l00066"></a>00066 vechmat* A=(vechmat*)AA;
<a name="l00067"></a>00067 <span class="keywordtype">int</span> k,nnz=A->nnzeros;
<a name="l00068"></a>00068 <span class="keyword">const</span> <span class="keywordtype">int</span>* ind=A->ind;
<a name="l00069"></a>00069 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=A->val;
<a name="l00070"></a>00070 <span class="keywordtype">double</span> *rr=r-A->ishift;
<a name="l00071"></a>00071 scl*=A->alpha;
<a name="l00072"></a>00072 <span class="keywordflow">for</span> (k=0; k<nnz; ++k,++ind,++val){
<a name="l00073"></a>00073 *(rr+((*ind))) +=scl*(*val);
<a name="l00074"></a>00074 }
<a name="l00075"></a>00075 <span class="keywordflow">return</span> 0;
<a name="l00076"></a>00076 }
<a name="l00077"></a>00077
<a name="l00078"></a>00078 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatDot(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> x[], <span class="keywordtype">int</span> nn, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *v){
<a name="l00079"></a>00079 vechmat* A=(vechmat*)AA;
<a name="l00080"></a>00080 <span class="keywordtype">int</span> k,nnz=A->nnzeros;
<a name="l00081"></a>00081 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind=A->ind;
<a name="l00082"></a>00082 <span class="keywordtype">double</span> vv=0, *xx=x-A->ishift;
<a name="l00083"></a>00083 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=A->val;
<a name="l00084"></a>00084 <span class="keywordflow">for</span> (k=0;k<nnz;++k,++ind,++val){
<a name="l00085"></a>00085 vv+=(*val)*(*(xx+(*ind)));
<a name="l00086"></a>00086 }
<a name="l00087"></a>00087 *v=2*vv*A->alpha;
<a name="l00088"></a>00088 <span class="keywordflow">return</span> 0;
<a name="l00089"></a>00089 }
<a name="l00090"></a>00090
<a name="l00091"></a>00091 <span class="keyword">static</span> <span class="keywordtype">int</span> EigMatVecVec(Eigen*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">double</span>*);
<a name="l00092"></a>00092 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatGetRank(<span class="keywordtype">void</span>*,<span class="keywordtype">int</span>*,<span class="keywordtype">int</span>);
<a name="l00093"></a>00093
<a name="l00094"></a>00094 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatVecVec(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> x[], <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *v){
<a name="l00095"></a>00095 vechmat* A=(vechmat*)AA;
<a name="l00096"></a>00096 <span class="keywordtype">int</span> info,rank=n,i=0,j,k,kk;
<a name="l00097"></a>00097 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind=A->ind,ishift=A->ishift;
<a name="l00098"></a>00098 <span class="keywordtype">double</span> vv=0,dd;
<a name="l00099"></a>00099 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=A->val,nnz=A->nnzeros;
<a name="l00100"></a>00100
<a name="l00101"></a>00101 <span class="keywordflow">if</span> (A->factored==3){
<a name="l00102"></a>00102 info=VechMatGetRank(AA,&rank,n);
<a name="l00103"></a>00103 <span class="keywordflow">if</span> (nnz>3 && rank<nnz){
<a name="l00104"></a>00104 info=EigMatVecVec(A->Eig,x,n,&vv);
<a name="l00105"></a>00105 *v=vv*A->alpha;
<a name="l00106"></a>00106 <span class="keywordflow">return</span> 0;
<a name="l00107"></a>00107 }
<a name="l00108"></a>00108 }
<a name="l00109"></a>00109
<a name="l00110"></a>00110 <span class="keywordflow">for</span> (k=0; k<nnz; ++k,++ind,++val){
<a name="l00111"></a>00111 kk=*ind-ishift;
<a name="l00112"></a>00112 i=GETI(kk);
<a name="l00113"></a>00113 j=GETJ(kk,i);
<a name="l00114"></a>00114 dd=x[i]*x[j]*(*val);
<a name="l00115"></a>00115 vv+=2*dd;
<a name="l00116"></a>00116 <span class="keywordflow">if</span> (i==j){ vv-=dd; }
<a name="l00117"></a>00117 }
<a name="l00118"></a>00118 *v=vv*A->alpha;
<a name="l00119"></a>00119
<a name="l00120"></a>00120 <span class="keywordflow">return</span> 0;
<a name="l00121"></a>00121 }
<a name="l00122"></a>00122
<a name="l00123"></a>00123
<a name="l00124"></a>00124 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatGetRowNnz(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> trow, <span class="keywordtype">int</span> nz[], <span class="keywordtype">int</span> *nnzz,<span class="keywordtype">int</span> nn){
<a name="l00125"></a>00125 vechmat* A=(vechmat*)AA;
<a name="l00126"></a>00126 <span class="keywordtype">int</span> i=0,j,k,ishift=A->ishift,nnz=A->nnzeros;
<a name="l00127"></a>00127 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind=A->ind;
<a name="l00128"></a>00128 *nnzz=0;
<a name="l00129"></a>00129 <span class="keywordflow">for</span> (k=0; k<nnz; ++k,++ind){
<a name="l00130"></a>00130 getij((*ind)-ishift,&i,&j);
<a name="l00131"></a>00131 <span class="keywordflow">if</span> (i==trow){
<a name="l00132"></a>00132 nz[j]++;(*nnzz)++;
<a name="l00133"></a>00133 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (j==trow){
<a name="l00134"></a>00134 nz[i]++;(*nnzz)++;
<a name="l00135"></a>00135 }
<a name="l00136"></a>00136 }
<a name="l00137"></a>00137 <span class="keywordflow">return</span> 0;
<a name="l00138"></a>00138 }
<a name="l00139"></a>00139
<a name="l00140"></a>00140 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatFNorm2(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *fnorm2){
<a name="l00141"></a>00141 vechmat* A=(vechmat*)AA;
<a name="l00142"></a>00142 <span class="keywordtype">int</span> i=0,j,k,ishift=A->ishift,nnz=A->nnzeros;
<a name="l00143"></a>00143 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind=A->ind;
<a name="l00144"></a>00144 <span class="keywordtype">double</span> fn2=0;
<a name="l00145"></a>00145 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=A->val;
<a name="l00146"></a>00146 <span class="keywordflow">for</span> (k=0; k<nnz; ++k,++ind){
<a name="l00147"></a>00147 getij((*ind)-ishift,&i,&j);
<a name="l00148"></a>00148 <span class="keywordflow">if</span> (i==j){
<a name="l00149"></a>00149 fn2+= val[k]*val[k];
<a name="l00150"></a>00150 } <span class="keywordflow">else</span> {
<a name="l00151"></a>00151 fn2+= 2*val[k]*val[k];
<a name="l00152"></a>00152 }
<a name="l00153"></a>00153 }
<a name="l00154"></a>00154 *fnorm2=fn2*A->alpha*A->alpha;
<a name="l00155"></a>00155 <span class="keywordflow">return</span> 0;
<a name="l00156"></a>00156 }
<a name="l00157"></a>00157
<a name="l00158"></a>00158 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatAddRowMultiple(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> trow, <span class="keywordtype">double</span> scl, <span class="keywordtype">double</span> r[], <span class="keywordtype">int</span> m){
<a name="l00159"></a>00159 vechmat* A=(vechmat*)AA;
<a name="l00160"></a>00160 <span class="keywordtype">int</span> i=0,j,k,ishift=A->ishift,nnz=A->nnzeros;
<a name="l00161"></a>00161 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind=A->ind;
<a name="l00162"></a>00162 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=A->val;
<a name="l00163"></a>00163 scl*=A->alpha;
<a name="l00164"></a>00164 <span class="keywordflow">for</span> (k=0; k<nnz; ++k,++ind){
<a name="l00165"></a>00165 getij((*ind)-ishift,&i,&j);
<a name="l00166"></a>00166 <span class="keywordflow">if</span> (i==trow){
<a name="l00167"></a>00167 <span class="comment">/* if (i==j){ r[j]+=scl*val[k];} */</span>
<a name="l00168"></a>00168 r[j]+=scl*val[k];
<a name="l00169"></a>00169 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (j==trow){
<a name="l00170"></a>00170 r[i]+=scl*val[k];
<a name="l00171"></a>00171 }
<a name="l00172"></a>00172 }
<a name="l00173"></a>00173 <span class="keywordflow">return</span> 0;
<a name="l00174"></a>00174 }
<a name="l00175"></a>00175
<a name="l00176"></a>00176 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatCountNonzeros(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span>*nnz, <span class="keywordtype">int</span> n){
<a name="l00177"></a>00177 vechmat* A=(vechmat*)AA;
<a name="l00178"></a>00178 *nnz=A->nnzeros;
<a name="l00179"></a>00179 <span class="keywordflow">return</span> 0;
<a name="l00180"></a>00180 }
<a name="l00181"></a>00181
<a name="l00182"></a>00182 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00183"></a>00183 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "VechMatDestroy"</span>
<a name="l00184"></a>00184 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> VechMatDestroy(<span class="keywordtype">void</span>* AA){
<a name="l00185"></a>00185 vechmat* A=(vechmat*)AA;
<a name="l00186"></a>00186 <span class="keywordtype">int</span> info;
<a name="l00187"></a>00187 <span class="keywordflow">if</span> (A->owndata){
<a name="l00188"></a>00188 <span class="comment">/* Never happens </span>
<a name="l00189"></a>00189 <span class="comment"> if (A->ind){ DSDPFREE(&A->ind,&info);DSDPCHKERR(info);}</span>
<a name="l00190"></a>00190 <span class="comment"> if (A->val){ DSDPFREE(&A->val,&info);DSDPCHKERR(info);}</span>
<a name="l00191"></a>00191 <span class="comment"> */</span>
<a name="l00192"></a>00192 <span class="keywordflow">return</span> 1;
<a name="l00193"></a>00193 }
<a name="l00194"></a>00194 <span class="keywordflow">if</span> (A->Eig){
<a name="l00195"></a>00195 DSDPFREE(&A->Eig->eigval,&info);DSDPCHKERR(info);
<a name="l00196"></a>00196 DSDPFREE(&A->Eig->an,&info);DSDPCHKERR(info);
<a name="l00197"></a>00197 <span class="keywordflow">if</span> (A->Eig->cols){DSDPFREE(&A->Eig->cols,&info);DSDPCHKERR(info);}
<a name="l00198"></a>00198 <span class="keywordflow">if</span> (A->Eig->nnz){DSDPFREE(&A->Eig->nnz,&info);DSDPCHKERR(info);}
<a name="l00199"></a>00199 DSDPFREE(&A->Eig,&info);DSDPCHKERR(info);
<a name="l00200"></a>00200 }
<a name="l00201"></a>00201 DSDPFREE(&A,&info);DSDPCHKERR(info);
<a name="l00202"></a>00202 <span class="keywordflow">return</span> 0;
<a name="l00203"></a>00203 }
<a name="l00204"></a>00204
<a name="l00205"></a>00205
<a name="l00206"></a>00206
<a name="l00207"></a>00207 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00208"></a>00208 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPCreateVechMatEigs"</span>
<a name="l00209"></a>00209 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> CreateEigenLocker(Eigen **EE,<span class="keywordtype">int</span> iptr[], <span class="keywordtype">int</span> neigs, <span class="keywordtype">int</span> n){
<a name="l00210"></a>00210 <span class="keywordtype">int</span> i,k,info;
<a name="l00211"></a>00211 Eigen *E;
<a name="l00212"></a>00212
<a name="l00213"></a>00213 <span class="keywordflow">for</span> (k=0,i=0;i<neigs;i++) k+=iptr[i];
<a name="l00214"></a>00214 <span class="keywordflow">if</span> (k>n*neigs/4){
<a name="l00215"></a>00215
<a name="l00216"></a>00216 DSDPCALLOC1(&E,Eigen,&info);DSDPCHKERR(info);
<a name="l00217"></a>00217 DSDPCALLOC2(&E->eigval,<span class="keywordtype">double</span>,neigs,&info);DSDPCHKERR(info);
<a name="l00218"></a>00218 DSDPCALLOC2(&E->an,<span class="keywordtype">double</span>,n*neigs,&info);DSDPCHKERR(info);
<a name="l00219"></a>00219 E->neigs=neigs;
<a name="l00220"></a>00220 E->cols=0;
<a name="l00221"></a>00221 E->nnz=0;
<a name="l00222"></a>00222
<a name="l00223"></a>00223 } <span class="keywordflow">else</span> {
<a name="l00224"></a>00224
<a name="l00225"></a>00225 DSDPCALLOC1(&E,Eigen,&info);DSDPCHKERR(info);
<a name="l00226"></a>00226 DSDPCALLOC2(&E->eigval,<span class="keywordtype">double</span>,neigs,&info);DSDPCHKERR(info);
<a name="l00227"></a>00227 DSDPCALLOC2(&E->nnz,<span class="keywordtype">int</span>,neigs,&info);DSDPCHKERR(info);
<a name="l00228"></a>00228 DSDPCALLOC2(&E->an,<span class="keywordtype">double</span>,k,&info);DSDPCHKERR(info);
<a name="l00229"></a>00229 DSDPCALLOC2(&E->cols,<span class="keywordtype">int</span>,k,&info);DSDPCHKERR(info);
<a name="l00230"></a>00230 E->neigs=neigs;
<a name="l00231"></a>00231
<a name="l00232"></a>00232 <span class="keywordflow">if</span> (neigs>0) E->nnz[0]=iptr[0];
<a name="l00233"></a>00233 <span class="keywordflow">for</span> (i=1;i<neigs;i++){E->nnz[i]=E->nnz[i-1]+iptr[i];}
<a name="l00234"></a>00234 }
<a name="l00235"></a>00235 *EE=E;
<a name="l00236"></a>00236 <span class="keywordflow">return</span> 0;
<a name="l00237"></a>00237 }
<a name="l00238"></a>00238
<a name="l00239"></a>00239
<a name="l00240"></a>00240 <span class="keyword">static</span> <span class="keywordtype">int</span> EigMatSetEig(Eigen* A,<span class="keywordtype">int</span> row, <span class="keywordtype">double</span> eigv, <span class="keywordtype">int</span> idxn[], <span class="keywordtype">double</span> v[], <span class="keywordtype">int</span> nsub,<span class="keywordtype">int</span> n){
<a name="l00241"></a>00241 <span class="keywordtype">int</span> j,k,*cols=A->cols;
<a name="l00242"></a>00242 <span class="keywordtype">double</span> *an=A->an;
<a name="l00243"></a>00243
<a name="l00244"></a>00244 A->eigval[row]=eigv;
<a name="l00245"></a>00245 <span class="keywordflow">if</span> (cols){
<a name="l00246"></a>00246 k=0; <span class="keywordflow">if</span> (row>0){ k=A->nnz[row-1];}
<a name="l00247"></a>00247 cols+=k; an+=k;
<a name="l00248"></a>00248 <span class="keywordflow">for</span> (k=0,j=0; j<nsub; j++){
<a name="l00249"></a>00249 <span class="keywordflow">if</span> (v[j]==0.0) <span class="keywordflow">continue</span>;
<a name="l00250"></a>00250 cols[k]=idxn[j]; an[k]=v[j]; k++;
<a name="l00251"></a>00251 }
<a name="l00252"></a>00252 } <span class="keywordflow">else</span> {
<a name="l00253"></a>00253 an+=n*row;
<a name="l00254"></a>00254 <span class="keywordflow">for</span> (j=0; j<nsub; j++){
<a name="l00255"></a>00255 <span class="keywordflow">if</span> (v[j]==0.0) <span class="keywordflow">continue</span>;
<a name="l00256"></a>00256 an[idxn[j]]=v[j];
<a name="l00257"></a>00257 }
<a name="l00258"></a>00258 }
<a name="l00259"></a>00259 <span class="keywordflow">return</span> 0;
<a name="l00260"></a>00260 }
<a name="l00261"></a>00261
<a name="l00262"></a>00262
<a name="l00263"></a>00263 <span class="keyword">static</span> <span class="keywordtype">int</span> EigMatGetEig(Eigen* A,<span class="keywordtype">int</span> row, <span class="keywordtype">double</span> *eigenvalue, <span class="keywordtype">double</span> eigenvector[], <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> spind[], <span class="keywordtype">int</span> *nind){
<a name="l00264"></a>00264 <span class="keywordtype">int</span> i,*cols=A->cols,bb,ee;
<a name="l00265"></a>00265 <span class="keywordtype">double</span>* an=A->an;
<a name="l00266"></a>00266 *eigenvalue=A->eigval[row];
<a name="l00267"></a>00267 *nind=0;
<a name="l00268"></a>00268 <span class="keywordflow">if</span> (cols){
<a name="l00269"></a>00269 memset((<span class="keywordtype">void</span>*)eigenvector,0,n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00270"></a>00270 <span class="keywordflow">if</span> (row==0){ bb=0;} <span class="keywordflow">else</span> {bb=A->nnz[row-1];} ee=A->nnz[row];
<a name="l00271"></a>00271 <span class="keywordflow">for</span> (i=bb;i<ee;i++){
<a name="l00272"></a>00272 eigenvector[cols[i]]=an[i];
<a name="l00273"></a>00273 spind[i-bb]=cols[i]; (*nind)++;
<a name="l00274"></a>00274 }
<a name="l00275"></a>00275 } <span class="keywordflow">else</span> {
<a name="l00276"></a>00276 memcpy((<span class="keywordtype">void</span>*)eigenvector,(<span class="keywordtype">void</span>*)(an+n*row),n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00277"></a>00277 <span class="keywordflow">for</span> (i=0;i<n;i++)spind[i]=i;
<a name="l00278"></a>00278 *nind=n;
<a name="l00279"></a>00279 }
<a name="l00280"></a>00280 <span class="keywordflow">return</span> 0;
<a name="l00281"></a>00281 }
<a name="l00282"></a>00282
<a name="l00283"></a>00283 <span class="keyword">static</span> <span class="keywordtype">int</span> EigMatVecVec(Eigen* A, <span class="keywordtype">double</span> v[], <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *vv){
<a name="l00284"></a>00284 <span class="keywordtype">int</span> i,rank,*cols=A->cols,neigs=A->neigs,*nnz=A->nnz,bb,ee;
<a name="l00285"></a>00285 <span class="keywordtype">double</span>* an=A->an,*eigval=A->eigval,dd,ddd=0;
<a name="l00286"></a>00286
<a name="l00287"></a>00287 <span class="keywordflow">if</span> (cols){
<a name="l00288"></a>00288 <span class="keywordflow">for</span> (rank=0;rank<neigs;rank++){
<a name="l00289"></a>00289 <span class="keywordflow">if</span> (rank==0){ bb=0;} <span class="keywordflow">else</span> {bb=nnz[rank-1];} ee=nnz[rank];
<a name="l00290"></a>00290 <span class="keywordflow">for</span> (dd=0,i=bb;i<ee;i++){
<a name="l00291"></a>00291 dd+=an[i]*v[cols[i]];
<a name="l00292"></a>00292 }
<a name="l00293"></a>00293 ddd+=dd*dd*eigval[rank];
<a name="l00294"></a>00294 }
<a name="l00295"></a>00295 } <span class="keywordflow">else</span> {
<a name="l00296"></a>00296 <span class="keywordflow">for</span> (rank=0;rank<neigs;rank++){
<a name="l00297"></a>00297 <span class="keywordflow">for</span> (dd=0,i=0;i<n;i++){
<a name="l00298"></a>00298 dd+=an[i]*v[i];
<a name="l00299"></a>00299 }
<a name="l00300"></a>00300 an+=n;
<a name="l00301"></a>00301 ddd+=dd*dd*eigval[rank];
<a name="l00302"></a>00302 }
<a name="l00303"></a>00303 }
<a name="l00304"></a>00304 *vv=ddd;
<a name="l00305"></a>00305 <span class="keywordflow">return</span> 0;
<a name="l00306"></a>00306 }
<a name="l00307"></a>00307
<a name="l00308"></a>00308
<a name="l00309"></a>00309 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatComputeEigs(vechmat*,<span class="keywordtype">double</span>[],<span class="keywordtype">int</span>,<span class="keywordtype">double</span>[],<span class="keywordtype">int</span>,<span class="keywordtype">double</span>[],<span class="keywordtype">int</span>,<span class="keywordtype">int</span>[],<span class="keywordtype">int</span>,<span class="keywordtype">double</span>[],<span class="keywordtype">int</span>,<span class="keywordtype">double</span>[],<span class="keywordtype">int</span>);
<a name="l00310"></a>00310
<a name="l00311"></a>00311 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatFactor(<span class="keywordtype">void</span>*AA, <span class="keywordtype">double</span> dmatp[], <span class="keywordtype">int</span> nn0, <span class="keywordtype">double</span> dwork[], <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> ddwork[], <span class="keywordtype">int</span> n1, <span class="keywordtype">int</span> iptr[], <span class="keywordtype">int</span> n2){
<a name="l00312"></a>00312 vechmat* A=(vechmat*)AA;
<a name="l00313"></a>00313 <span class="keywordtype">int</span> i,j,k,ishift=A->ishift,isdiag,nonzeros=A->nnzeros,info;
<a name="l00314"></a>00314 <span class="keywordtype">int</span> nn1=0,nn2=0;
<a name="l00315"></a>00315 <span class="keywordtype">double</span> *ss1=0,*ss2=0;
<a name="l00316"></a>00316 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind=A->ind;
<a name="l00317"></a>00317
<a name="l00318"></a>00318 <span class="keywordflow">if</span> (A->factored) <span class="keywordflow">return</span> 0;
<a name="l00319"></a>00319 memset((<span class="keywordtype">void</span>*)iptr,0,3*n*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));
<a name="l00320"></a>00320 <span class="comment">/* Find number of nonzeros in each row */</span>
<a name="l00321"></a>00321 <span class="keywordflow">for</span> (isdiag=1,k=0; k<nonzeros; k++){
<a name="l00322"></a>00322 getij(ind[k]-ishift,&i,&j);
<a name="l00323"></a>00323 iptr[i]++;
<a name="l00324"></a>00324 <span class="keywordflow">if</span> (i!=j) {isdiag=0;iptr[j]++;}
<a name="l00325"></a>00325 }
<a name="l00326"></a>00326
<a name="l00327"></a>00327 <span class="keywordflow">if</span> (isdiag){ A->factored=1; <span class="keywordflow">return</span> 0;}
<a name="l00328"></a>00328 <span class="comment">/* Find most nonzeros per row */</span>
<a name="l00329"></a>00329 <span class="keywordflow">for</span> (j=0,i=0; i<n; i++){ <span class="keywordflow">if</span> (iptr[i]>j) j=iptr[i]; }
<a name="l00330"></a>00330 <span class="keywordflow">if</span> (j<2){ A->factored=2; <span class="keywordflow">return</span> 0; }
<a name="l00331"></a>00331 info=VechMatComputeEigs(A,dmatp,nn0,dwork,n,ddwork,n1,iptr,n2,ss1,nn1,ss2,nn2);DSDPCHKERR(info);
<a name="l00332"></a>00332 A->factored=3;
<a name="l00333"></a>00333 <span class="keywordflow">return</span> 0;
<a name="l00334"></a>00334 }
<a name="l00335"></a>00335
<a name="l00336"></a>00336 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatGetRank(<span class="keywordtype">void</span> *AA,<span class="keywordtype">int</span> *rank,<span class="keywordtype">int</span> n){
<a name="l00337"></a>00337 vechmat* A=(vechmat*)AA;
<a name="l00338"></a>00338 <span class="keywordflow">switch</span> (A->factored){
<a name="l00339"></a>00339 <span class="keywordflow">case</span> 1:
<a name="l00340"></a>00340 *rank=A->nnzeros;
<a name="l00341"></a>00341 <span class="keywordflow">break</span>;
<a name="l00342"></a>00342 <span class="keywordflow">case</span> 2:
<a name="l00343"></a>00343 *rank=2*A->nnzeros;
<a name="l00344"></a>00344 <span class="keywordflow">break</span>;
<a name="l00345"></a>00345 <span class="keywordflow">case</span> 3:
<a name="l00346"></a>00346 *rank=A->Eig->neigs;
<a name="l00347"></a>00347 <span class="keywordflow">break</span>;
<a name="l00348"></a>00348 <span class="keywordflow">default</span>:
<a name="l00349"></a>00349 DSDPSETERR(1,<span class="stringliteral">"Vech Matrix not factored yet\n"</span>);
<a name="l00350"></a>00350 }
<a name="l00351"></a>00351 <span class="keywordflow">return</span> 0;
<a name="l00352"></a>00352 }
<a name="l00353"></a>00353
<a name="l00354"></a>00354 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatGetEig(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> rank, <span class="keywordtype">double</span> *eigenvalue, <span class="keywordtype">double</span> vv[], <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> indx[], <span class="keywordtype">int</span> *nind){
<a name="l00355"></a>00355 vechmat* A=(vechmat*)AA;
<a name="l00356"></a>00356 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=A->val,tt=sqrt(0.5);
<a name="l00357"></a>00357 <span class="keywordtype">int</span> info,i,j,k,ishift=A->ishift;
<a name="l00358"></a>00358 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind=A->ind;
<a name="l00359"></a>00359
<a name="l00360"></a>00360 *nind=0;
<a name="l00361"></a>00361 <span class="keywordflow">switch</span> (A->factored){
<a name="l00362"></a>00362 <span class="keywordflow">case</span> 1:
<a name="l00363"></a>00363 memset(vv,0,n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00364"></a>00364 getij(ind[rank]-ishift,&i,&j);
<a name="l00365"></a>00365 vv[i]=1.0;
<a name="l00366"></a>00366 *eigenvalue=val[rank]*A->alpha;
<a name="l00367"></a>00367 *nind=1;
<a name="l00368"></a>00368 indx[0]=i;
<a name="l00369"></a>00369 <span class="keywordflow">break</span>;
<a name="l00370"></a>00370 <span class="keywordflow">case</span> 2:
<a name="l00371"></a>00371 memset(vv,0,n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00372"></a>00372 k=rank/2;
<a name="l00373"></a>00373 getij(ind[k]-ishift,&i,&j);
<a name="l00374"></a>00374 <span class="keywordflow">if</span> (i==j){
<a name="l00375"></a>00375 <span class="keywordflow">if</span> (k*2==rank){
<a name="l00376"></a>00376 vv[i]=1.0; *eigenvalue=val[k]*A->alpha;
<a name="l00377"></a>00377 *nind=1;
<a name="l00378"></a>00378 indx[0]=i;
<a name="l00379"></a>00379 } <span class="keywordflow">else</span> {
<a name="l00380"></a>00380 *eigenvalue=0;
<a name="l00381"></a>00381 }
<a name="l00382"></a>00382 } <span class="keywordflow">else</span> {
<a name="l00383"></a>00383 <span class="keywordflow">if</span> (k*2==rank){
<a name="l00384"></a>00384 vv[i]=tt; vv[j]=tt; *eigenvalue=val[k]*A->alpha;
<a name="l00385"></a>00385 *nind=2;
<a name="l00386"></a>00386 indx[0]=i; indx[1]=j;
<a name="l00387"></a>00387 } <span class="keywordflow">else</span> {
<a name="l00388"></a>00388 vv[i]=-tt; vv[j]=tt; *eigenvalue=-val[k]*A->alpha;
<a name="l00389"></a>00389 *nind=2;
<a name="l00390"></a>00390 indx[0]=i; indx[1]=j;
<a name="l00391"></a>00391 }
<a name="l00392"></a>00392 }
<a name="l00393"></a>00393 <span class="keywordflow">break</span>;
<a name="l00394"></a>00394 <span class="keywordflow">case</span> 3:
<a name="l00395"></a>00395 info=EigMatGetEig(A->Eig,rank,eigenvalue,vv,n,indx,nind);DSDPCHKERR(info);
<a name="l00396"></a>00396 *eigenvalue=*eigenvalue*A->alpha;
<a name="l00397"></a>00397 <span class="keywordflow">break</span>;
<a name="l00398"></a>00398 <span class="keywordflow">default</span>:
<a name="l00399"></a>00399 DSDPSETERR(1,<span class="stringliteral">"Vech Matrix not factored yet\n"</span>);
<a name="l00400"></a>00400 }
<a name="l00401"></a>00401
<a name="l00402"></a>00402 <span class="keywordflow">return</span> 0;
<a name="l00403"></a>00403 }
<a name="l00404"></a>00404
<a name="l00405"></a>00405 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatView(<span class="keywordtype">void</span>* AA){
<a name="l00406"></a>00406 vechmat* A=(vechmat*)AA;
<a name="l00407"></a>00407 <span class="keywordtype">int</span> info,i=0,j,k,rank=0,ishift=A->ishift,nnz=A->nnzeros;
<a name="l00408"></a>00408 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind=A->ind;
<a name="l00409"></a>00409 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=A->val;
<a name="l00410"></a>00410 <span class="keywordflow">for</span> (k=0; k<nnz; k++){
<a name="l00411"></a>00411 getij(ind[k]-ishift,&i,&j);
<a name="l00412"></a>00412 printf(<span class="stringliteral">"Row: %d, Column: %d, Value: %10.8f \n"</span>,i,j,A->alpha*val[k]);
<a name="l00413"></a>00413 }
<a name="l00414"></a>00414 <span class="keywordflow">if</span> (A->factored>0){
<a name="l00415"></a>00415 info=VechMatGetRank(AA,&rank,A->n);DSDPCHKERR(info);
<a name="l00416"></a>00416 printf(<span class="stringliteral">"Detected Rank: %d\n"</span>,rank);
<a name="l00417"></a>00417 }
<a name="l00418"></a>00418 <span class="keywordflow">return</span> 0;
<a name="l00419"></a>00419 }
<a name="l00420"></a>00420
<a name="l00421"></a>00421
<a name="l00422"></a>00422 <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> vechmatops;
<a name="l00423"></a>00423 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *datamatname=<span class="stringliteral">"STANDARD VECH MATRIX"</span>;
<a name="l00424"></a>00424
<a name="l00425"></a>00425 <span class="keyword">static</span> <span class="keywordtype">int</span> VechMatOpsInitialize(<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){
<a name="l00426"></a>00426 <span class="keywordtype">int</span> info;
<a name="l00427"></a>00427 <span class="keywordflow">if</span> (sops==NULL) <span class="keywordflow">return</span> 0;
<a name="l00428"></a>00428 info=<a class="code" href="dsdpdatamat_8c.html#a5d7a246134aa5186463e0f1f0fd561bd" title="Initialize the table of function pointers for SDP Data matrices.">DSDPDataMatOpsInitialize</a>(sops); DSDPCHKERR(info);
<a name="l00429"></a>00429 sops->matvecvec=VechMatVecVec;
<a name="l00430"></a>00430 sops->matdot=VechMatDot;
<a name="l00431"></a>00431 sops->matfnorm2=VechMatFNorm2;
<a name="l00432"></a>00432 sops->mataddrowmultiple=VechMatAddRowMultiple;
<a name="l00433"></a>00433 sops->mataddallmultiple=VechMatAddMultiple;
<a name="l00434"></a>00434 sops->matview=VechMatView;
<a name="l00435"></a>00435 sops->matdestroy=VechMatDestroy;
<a name="l00436"></a>00436 sops->matfactor2=VechMatFactor;
<a name="l00437"></a>00437 sops->matgetrank=VechMatGetRank;
<a name="l00438"></a>00438 sops->matgeteig=VechMatGetEig;
<a name="l00439"></a>00439 sops->matrownz=VechMatGetRowNnz;
<a name="l00440"></a>00440 sops->matnnz=VechMatCountNonzeros;
<a name="l00441"></a>00441 sops->id=3;
<a name="l00442"></a>00442 sops->matname=datamatname;
<a name="l00443"></a>00443 <span class="keywordflow">return</span> 0;
<a name="l00444"></a>00444 }
<a name="l00445"></a>00445
<a name="l00458"></a>00458 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00459"></a>00459 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPGetVechMat"</span>
<a name="l00460"></a><a class="code" href="vech_8c.html#a9883e9b3947eece4794d8ce0f7cd897d">00460</a> <span class="preprocessor"></span><span class="keywordtype">int</span> <a class="code" href="dsdpadddatamat_8c.html#a3581056403fa8d43ae55fe0a0c05da3c" title="Given data in packed symmetric format, create a sparse matrix usuable by DSDP.">DSDPGetVechMat</a>(<span class="keywordtype">int</span> n,<span class="keywordtype">int</span> ishift,<span class="keywordtype">double</span> alpha, <span class="keyword">const</span> <span class="keywordtype">int</span> ind[], <span class="keyword">const</span> <span class="keywordtype">double</span> val[],<span class="keywordtype">int</span> nnz, <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="l00461"></a>00461 <span class="keywordtype">int</span> info,i,j,k,itmp,nn=n*(n+1)/2;
<a name="l00462"></a>00462 <span class="keywordtype">double</span> dtmp;
<a name="l00463"></a>00463 vechmat* AA;
<a name="l00464"></a>00464 DSDPFunctionBegin;
<a name="l00465"></a>00465 <span class="keywordflow">for</span> (k=0;k<nnz;++k){
<a name="l00466"></a>00466 itmp=ind[k]-ishift;
<a name="l00467"></a>00467 <span class="keywordflow">if</span> (itmp>=nn){
<a name="l00468"></a>00468 getij(itmp,&i,&j);
<a name="l00469"></a>00469 <span class="comment">/*</span>
<a name="l00470"></a>00470 <span class="comment"> DSDPSETERR(2,"Illegal index value: Element %d in array has row %d (>0) or column %d (>0) is greater than %d. \n",k+1,i+1,j+1,n);</span>
<a name="l00471"></a>00471 <span class="comment"> */</span>
<a name="l00472"></a>00472 DSDPSETERR3(2,<span class="stringliteral">"Illegal index value: Element %d in array has index %d greater than or equal to %d. \n"</span>,k,itmp,nn);
<a name="l00473"></a>00473 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (itmp<0){
<a name="l00474"></a>00474 DSDPSETERR1(2,<span class="stringliteral">"Illegal index value: %d. Must be >= 0\n"</span>,itmp);
<a name="l00475"></a>00475 }
<a name="l00476"></a>00476 }
<a name="l00477"></a>00477 <span class="keywordflow">for</span> (k=0;k<nnz;++k) dtmp=val[k];
<a name="l00478"></a>00478 info=CreateVechMatWdata(n,ishift,alpha,ind,val,nnz,&AA); DSDPCHKERR(info);
<a name="l00479"></a>00479 AA->factored=0;
<a name="l00480"></a>00480 AA->Eig=0;
<a name="l00481"></a>00481 info=VechMatOpsInitialize(&vechmatops); DSDPCHKERR(info);
<a name="l00482"></a>00482 <span class="keywordflow">if</span> (sops){*sops=&vechmatops;}
<a name="l00483"></a>00483 <span class="keywordflow">if</span> (smat){*smat=(<span class="keywordtype">void</span>*)AA;}
<a name="l00484"></a>00484 DSDPFunctionReturn(0);
<a name="l00485"></a>00485 }
<a name="l00486"></a>00486
<a name="l00487"></a>00487
<a name="l00488"></a>00488 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00489"></a>00489 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "VechMatComputeEigs"</span>
<a name="l00490"></a>00490 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> VechMatComputeEigs(vechmat* AA,<span class="keywordtype">double</span> DD[], <span class="keywordtype">int</span> nn0, <span class="keywordtype">double</span> W[], <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> WORK[], <span class="keywordtype">int</span> n1, <span class="keywordtype">int</span> iiptr[], <span class="keywordtype">int</span> n2, <span class="keywordtype">double</span> ss1[],<span class="keywordtype">int</span> nn1, <span class="keywordtype">double</span> ss2[], <span class="keywordtype">int</span> nn2){
<a name="l00491"></a>00491
<a name="l00492"></a>00492 <span class="keywordtype">int</span> i,j,k,nsub,neigs,info,*iptr,*perm,*invp;
<a name="l00493"></a>00493 <span class="keywordtype">long</span> <span class="keywordtype">int</span> *i2darray=(<span class="keywordtype">long</span> <span class="keywordtype">int</span>*)DD;
<a name="l00494"></a>00494 <span class="keywordtype">int</span> ownarray1=0,ownarray2=0,ownarray3=0;
<a name="l00495"></a>00495 <span class="keywordtype">int</span> ishift=AA->ishift,nonzeros=AA->nnzeros;
<a name="l00496"></a>00496 <span class="keyword">const</span> <span class="keywordtype">int</span> *ind=AA->ind;
<a name="l00497"></a>00497 <span class="keyword">const</span> <span class="keywordtype">double</span> *val=AA->val;
<a name="l00498"></a>00498 <span class="keywordtype">double</span> *dmatarray=ss1,*dworkarray=ss2,maxeig,eps=1.0e-12,eps2=1.0e-12;
<a name="l00499"></a>00499
<a name="l00500"></a>00500 iptr=iiptr; perm=iptr+n; invp=perm+n;
<a name="l00501"></a>00501 <span class="comment">/* These operations were done before calling this routine * /</span>
<a name="l00502"></a>00502 <span class="comment"> / * Integer arrays corresponding to rows with nonzeros and inverse map * /</span>
<a name="l00503"></a>00503 <span class="comment"> memset((void*)iiptr,0,3*n*sizeof(int));</span>
<a name="l00504"></a>00504 <span class="comment"></span>
<a name="l00505"></a>00505 <span class="comment"> / * Find number of nonzeros in each row * /</span>
<a name="l00506"></a>00506 <span class="comment"> for (i=0,k=0; k<nonzeros; k++){</span>
<a name="l00507"></a>00507 <span class="comment"> getij(ind[k],i,n,&i,&j);</span>
<a name="l00508"></a>00508 <span class="comment"> iptr[i]++; iptr[j]++;</span>
<a name="l00509"></a>00509 <span class="comment"> } </span>
<a name="l00510"></a>00510 <span class="comment"> */</span>
<a name="l00511"></a>00511 <span class="comment">/* Number of rows with a nonzero. Order the rows with nonzeros. */</span>
<a name="l00512"></a>00512 <span class="keywordflow">for</span> (nsub=0,i=0; i<n; i++){
<a name="l00513"></a>00513 <span class="keywordflow">if</span> (iptr[i]>0){ invp[nsub]=i; perm[i]=nsub; nsub++;}
<a name="l00514"></a>00514 }
<a name="l00515"></a>00515
<a name="l00516"></a>00516 <span class="comment">/* create a dense array in which to put numbers */</span>
<a name="l00517"></a>00517 <span class="keywordflow">if</span> (nsub*nsub>nn1){
<a name="l00518"></a>00518 DSDPCALLOC2(&dmatarray,<span class="keywordtype">double</span>,(nsub*nsub),&info); DSDPCHKERR(info);
<a name="l00519"></a>00519 ownarray1=1;
<a name="l00520"></a>00520 }
<a name="l00521"></a>00521 memset((<span class="keywordtype">void</span>*)dmatarray,0,nsub*nsub*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00522"></a>00522 <span class="keywordflow">if</span> (nsub*nsub>nn2){
<a name="l00523"></a>00523 DSDPCALLOC2(&dworkarray,<span class="keywordtype">double</span>,(nsub*nsub),&info); DSDPCHKERR(info);
<a name="l00524"></a>00524 ownarray2=1;
<a name="l00525"></a>00525 }
<a name="l00526"></a>00526
<a name="l00527"></a>00527 <span class="keywordflow">if</span> (nsub*nsub*<span class="keyword">sizeof</span>(<span class="keywordtype">long</span> <span class="keywordtype">int</span>)>nn0*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>)){
<a name="l00528"></a>00528 DSDPCALLOC2(&i2darray,<span class="keywordtype">long</span> <span class="keywordtype">int</span>,(nsub*nsub),&info); DSDPCHKERR(info);
<a name="l00529"></a>00529 ownarray3=1;
<a name="l00530"></a>00530 }
<a name="l00531"></a>00531
<a name="l00532"></a>00532 <span class="keywordflow">for</span> (i=0,k=0; k<nonzeros; k++){
<a name="l00533"></a>00533 getij(ind[k]-ishift,&i,&j);
<a name="l00534"></a>00534 dmatarray[perm[i]*nsub+perm[j]] += val[k];
<a name="l00535"></a>00535 <span class="keywordflow">if</span> (i!=j){
<a name="l00536"></a>00536 dmatarray[perm[j]*nsub+perm[i]] += val[k];
<a name="l00537"></a>00537 }
<a name="l00538"></a>00538 }
<a name="l00539"></a>00539 <span class="comment">/* Call LAPACK to compute the eigenvalues */</span>
<a name="l00540"></a>00540 info=DSDPGetEigs(dmatarray,nsub,dworkarray,nsub*nsub,i2darray,nsub*nsub,
<a name="l00541"></a>00541 W,n,WORK,n1,iiptr+3*n,n2-3*n);
<a name="l00542"></a>00542 <span class="keywordflow">if</span> (info){
<a name="l00543"></a>00543 memset((<span class="keywordtype">void</span>*)dmatarray,0,nsub*nsub*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00544"></a>00544 <span class="keywordflow">for</span> (i=0,k=0; k<nonzeros; k++){
<a name="l00545"></a>00545 getij(ind[k]-ishift,&i,&j);
<a name="l00546"></a>00546 dmatarray[perm[i]*nsub+perm[j]] += val[k];
<a name="l00547"></a>00547 <span class="keywordflow">if</span> (i!=j){dmatarray[perm[j]*nsub+perm[i]] += val[k];}
<a name="l00548"></a>00548 }
<a name="l00549"></a>00549 info=DSDPGetEigs2(dmatarray,nsub,dworkarray,nsub*nsub,i2darray,nsub*nsub,
<a name="l00550"></a>00550 W,nsub,WORK,n1,iiptr+3*n,n2-3*n); DSDPCHKERR(info);
<a name="l00551"></a>00551 }
<a name="l00552"></a>00552 <span class="keywordflow">for</span> (maxeig=0,i=0;i<nsub;i++){
<a name="l00553"></a>00553 <span class="keywordflow">if</span> (fabs(W[i])>maxeig){ maxeig=fabs(W[i]); }
<a name="l00554"></a>00554 }
<a name="l00555"></a>00555 memset((<span class="keywordtype">void</span>*)iptr,0,nsub*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));
<a name="l00556"></a>00556 <span class="comment">/* Compute sparsity pattern for eigenvalue and eigenvector structures */</span>
<a name="l00557"></a>00557 <span class="comment">/* Count the nonzero eigenvalues */</span>
<a name="l00558"></a>00558 <span class="keywordflow">for</span> (neigs=0,k=0; k<nsub; k++){
<a name="l00559"></a>00559 <span class="keywordflow">if</span> (fabs(W[k]) <span class="comment">/* /maxeig */</span> > eps){
<a name="l00560"></a>00560 <span class="keywordflow">for</span> (j=0;j<nsub;j++){
<a name="l00561"></a>00561 <span class="keywordflow">if</span> (fabs(dmatarray[nsub*k+j]) >= eps2){iptr[neigs]++;
<a name="l00562"></a>00562 } <span class="keywordflow">else</span> { dmatarray[nsub*k+j]=0.0;}
<a name="l00563"></a>00563 }
<a name="l00564"></a>00564 neigs++;
<a name="l00565"></a>00565 <span class="comment">/*</span>
<a name="l00566"></a>00566 <span class="comment"> } else if (fabs(W[k])>1.0e-100){</span>
<a name="l00567"></a>00567 <span class="comment"> printf("SKIPPING EIGENVALUE: %4.4e, max is : %4.4e\n",W[k],maxeig);</span>
<a name="l00568"></a>00568 <span class="comment"> */</span>
<a name="l00569"></a>00569 }
<a name="l00570"></a>00570 }
<a name="l00571"></a>00571
<a name="l00572"></a>00572 info=CreateEigenLocker(&AA->Eig,iptr,neigs,n);DSDPCHKERR(info);
<a name="l00573"></a>00573 DSDPLogInfo(0,49,<span class="stringliteral">" Data Mat has %d eigenvalues: \n"</span>,neigs);
<a name="l00574"></a>00574 <span class="comment">/* Copy into structure */</span>
<a name="l00575"></a>00575 <span class="keywordflow">for</span> (neigs=0,i=0; i<nsub; i++){
<a name="l00576"></a>00576 <span class="keywordflow">if</span> (fabs(W[i]) > eps){
<a name="l00577"></a>00577 info=EigMatSetEig(AA->Eig,neigs,W[i],invp,dmatarray+nsub*i,nsub,n);DSDPCHKERR(info);
<a name="l00578"></a>00578 neigs++;
<a name="l00579"></a>00579 }
<a name="l00580"></a>00580 }
<a name="l00581"></a>00581
<a name="l00582"></a>00582 <span class="keywordflow">if</span> (ownarray1){ DSDPFREE(&dmatarray,&info);DSDPCHKERR(info);}
<a name="l00583"></a>00583 <span class="keywordflow">if</span> (ownarray2){ DSDPFREE(&dworkarray,&info);DSDPCHKERR(info);}
<a name="l00584"></a>00584 <span class="keywordflow">if</span> (ownarray3){ DSDPFREE(&i2darray,&info);DSDPCHKERR(info);}
<a name="l00585"></a>00585 <span class="keywordflow">return</span> 0;
<a name="l00586"></a>00586 }
<a name="l00587"></a>00587
</pre></div></div>
</div>
<hr class="footer"/><address class="footer"><small>Generated on Wed Jun 8 2011 for DSDP by 
<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.4 </small></address>
</body>
</html>
