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<div class="title">dlpack.c</div> </div>
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<a href="dlpack_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="dsdpsys_8h.html" title="Error handling, printing, and profiling.">dsdpsys.h</a>"</span>
<a name="l00002"></a>00002 <span class="preprocessor">#include "<a class="code" href="dsdpvec_8h.html" title="Vector operations used by the solver.">dsdpvec.h</a>"</span>
<a name="l00003"></a>00003 <span class="preprocessor">#include "<a class="code" href="dsdplapack_8h.html" title="DSDP uses BLAS and LAPACK for many of its operations.">dsdplapack.h</a>"</span>
<a name="l00004"></a>00004
<a name="l00010"></a>00010 <span class="keyword">typedef</span> <span class="keyword">struct</span>{
<a name="l00011"></a>00011 <span class="keywordtype">char</span> UPLO;
<a name="l00012"></a>00012 <span class="keywordtype">double</span> *val;
<a name="l00013"></a>00013 <span class="keywordtype">double</span> *v2;
<a name="l00014"></a>00014 <span class="keywordtype">double</span> *sscale;
<a name="l00015"></a>00015 <span class="keywordtype">int</span> scaleit;
<a name="l00016"></a>00016 <span class="keywordtype">int</span> n;
<a name="l00017"></a>00017 <span class="keywordtype">int</span> owndata;
<a name="l00018"></a>00018 } dtpumat;
<a name="l00019"></a>00019
<a name="l00020"></a>00020 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* lapackname=<span class="stringliteral">"DENSE,SYMMETRIC,PACKED STORAGE"</span>;
<a name="l00021"></a>00021
<a name="l00022"></a>00022 <span class="keywordtype">int</span> DTPUMatEigs(<span class="keywordtype">void</span>*AA,<span class="keywordtype">double</span> W[],<span class="keywordtype">double</span> IIWORK[], <span class="keywordtype">int</span> nn1, <span class="keywordtype">double</span> *mineig){
<a name="l00023"></a>00023 dtpumat* AAA=(dtpumat*) AA;
<a name="l00024"></a>00024 ffinteger info,INFO=0,M,N=AAA->n;
<a name="l00025"></a>00025 ffinteger IL=1,IU=1,LDZ=1,IFAIL;
<a name="l00026"></a>00026 ffinteger *IWORK=(ffinteger*)IIWORK;
<a name="l00027"></a>00027 <span class="keywordtype">double</span> *AP=AAA->val,ABSTOL=1e-13;
<a name="l00028"></a>00028 <span class="keywordtype">double</span> Z=0,VL=-1e10,VU=1;
<a name="l00029"></a>00029 <span class="keywordtype">double</span> *WORK;
<a name="l00030"></a>00030 <span class="keywordtype">char</span> UPLO=AAA->UPLO,JOBZ=<span class="charliteral">'N'</span>,RANGE=<span class="charliteral">'I'</span>;
<a name="l00031"></a>00031
<a name="l00032"></a>00032 DSDPCALLOC2(&WORK,<span class="keywordtype">double</span>,7*N,&info);DSDPCHKERR(info);
<a name="l00033"></a>00033 DSDPCALLOC2(&IWORK,ffinteger,5*N,&info);DSDPCHKERR(info);
<a name="l00034"></a>00034 dspevx(&JOBZ,&RANGE,&UPLO,&N,AP,&VL,&VU,&IL,&IU,&ABSTOL,&M,W,&Z,&LDZ,WORK,IWORK,&IFAIL,&INFO);
<a name="l00035"></a>00035
<a name="l00036"></a>00036 <span class="comment">/*</span>
<a name="l00037"></a>00037 <span class="comment"> DSDPCALLOC2(&WORK,double,2*N,&info);</span>
<a name="l00038"></a>00038 <span class="comment"> LWORK=2*N;</span>
<a name="l00039"></a>00039 <span class="comment"> dspevd(&JOBZ,&UPLO,&N,AP,W,&Z,&LDZ,WORK,&LWORK,IWORK,&LIWORK,&INFO);</span>
<a name="l00040"></a>00040 <span class="comment"> */</span>
<a name="l00041"></a>00041 *mineig=W[0];
<a name="l00042"></a>00042 DSDPFREE(&WORK,&info);DSDPCHKERR(info);
<a name="l00043"></a>00043 DSDPFREE(&IWORK,&info);DSDPCHKERR(info);
<a name="l00044"></a>00044 <span class="keywordflow">return</span> INFO;
<a name="l00045"></a>00045 }
<a name="l00046"></a>00046
<a name="l00047"></a>00047
<a name="l00048"></a>00048 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00049"></a>00049 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPLAPACKROUTINE"</span>
<a name="l00050"></a>00050 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">void</span> dtpuscalevec(<span class="keywordtype">double</span> alpha, <span class="keywordtype">double</span> v1[], <span class="keywordtype">double</span> v2[], <span class="keywordtype">double</span> v3[], <span class="keywordtype">int</span> n){
<a name="l00051"></a>00051 <span class="keywordtype">int</span> i;
<a name="l00052"></a>00052 <span class="keywordflow">for</span> (i=0;i<n;i++){
<a name="l00053"></a>00053 v3[i] = (alpha*v1[i]*v2[i]);
<a name="l00054"></a>00054 }
<a name="l00055"></a>00055 }
<a name="l00056"></a>00056
<a name="l00057"></a>00057 <span class="keyword">static</span> <span class="keywordtype">void</span> dtpuscalemat(<span class="keywordtype">double</span> vv[], <span class="keywordtype">double</span> ss[], <span class="keywordtype">int</span> n){
<a name="l00058"></a>00058 <span class="keywordtype">int</span> i;
<a name="l00059"></a>00059 <span class="keywordflow">for</span> (i=0;i<n;i++,vv+=i){
<a name="l00060"></a>00060 dtpuscalevec(ss[i],vv,ss,vv,i+1);
<a name="l00061"></a>00061 }
<a name="l00062"></a>00062 }
<a name="l00063"></a>00063
<a name="l00064"></a>00064 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatCreateWData(<span class="keywordtype">int</span> n,<span class="keywordtype">double</span> nz[], <span class="keywordtype">int</span> nnz, dtpumat**M){
<a name="l00065"></a>00065 <span class="keywordtype">int</span> i,nn=(n*n+n)/2,info;
<a name="l00066"></a>00066 <span class="keywordtype">double</span> dtmp;
<a name="l00067"></a>00067 dtpumat*M23;
<a name="l00068"></a>00068 <span class="keywordflow">if</span> (nnz<nn){DSDPSETERR1(2,<span class="stringliteral">"Array must have length of : %d \n"</span>,nn);}
<a name="l00069"></a>00069 <span class="keywordflow">for</span> (i=0;i<nnz;i++) dtmp=nz[i];
<a name="l00070"></a>00070 DSDPCALLOC1(&M23,dtpumat,&info);DSDPCHKERR(info);
<a name="l00071"></a>00071 DSDPCALLOC2(&M23->sscale,<span class="keywordtype">double</span>,n,&info);DSDPCHKERR(info);
<a name="l00072"></a>00072 M23->owndata=0; M23->val=nz; M23->n=n; M23->UPLO=<span class="charliteral">'U'</span>;
<a name="l00073"></a>00073 <span class="keywordflow">for</span> (i=0;i<n;i++)M23->sscale[i]=1.0;
<a name="l00074"></a>00074 M23->scaleit=0;
<a name="l00075"></a>00075 *M=M23;
<a name="l00076"></a>00076 <span class="keywordflow">return</span> 0;
<a name="l00077"></a>00077 }
<a name="l00078"></a>00078
<a name="l00079"></a>00079
<a name="l00080"></a>00080
<a name="l00081"></a>00081 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00082"></a>00082 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPLAPACK ROUTINE"</span>
<a name="l00083"></a>00083 <span class="preprocessor"></span>
<a name="l00084"></a>00084
<a name="l00085"></a>00085 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatMult(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> x[], <span class="keywordtype">double</span> y[], <span class="keywordtype">int</span> n){
<a name="l00086"></a>00086 dtpumat* A=(dtpumat*) AA;
<a name="l00087"></a>00087 ffinteger ione=1,N=n;
<a name="l00088"></a>00088 <span class="keywordtype">double</span> BETA=0.0,ALPHA=1.0;
<a name="l00089"></a>00089 <span class="keywordtype">double</span> *AP=A->val,*Y=y,*X=x;
<a name="l00090"></a>00090 <span class="keywordtype">char</span> UPLO=A->UPLO;
<a name="l00091"></a>00091
<a name="l00092"></a>00092 <span class="keywordflow">if</span> (A->n != n) <span class="keywordflow">return</span> 1;
<a name="l00093"></a>00093 <span class="keywordflow">if</span> (x==0 && n>0) <span class="keywordflow">return</span> 3;
<a name="l00094"></a>00094 dspmv(&UPLO,&N,&ALPHA,AP,X,&ione,&BETA,Y,&ione);
<a name="l00095"></a>00095 <span class="keywordflow">return</span> 0;
<a name="l00096"></a>00096 }
<a name="l00097"></a>00097
<a name="l00098"></a>00098 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatSolve(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> b[], <span class="keywordtype">double</span> x[], <span class="keywordtype">int</span> n){
<a name="l00099"></a>00099 dtpumat* A=(dtpumat*) AA;
<a name="l00100"></a>00100 ffinteger INFO,NRHS=1,LDB=A->n,N=A->n;
<a name="l00101"></a>00101 <span class="keywordtype">double</span> *AP=A->val,*ss=A->sscale;
<a name="l00102"></a>00102 <span class="keywordtype">char</span> UPLO=A->UPLO;
<a name="l00103"></a>00103
<a name="l00104"></a>00104 <span class="keywordflow">if</span> (N>0) LDB=N;
<a name="l00105"></a>00105 dtpuscalevec(1.0,ss,b,x,n);
<a name="l00106"></a>00106 dpptrs(&UPLO, &N, &NRHS, AP, x, &LDB, &INFO );
<a name="l00107"></a>00107 dtpuscalevec(1.0,ss,x,x,n);
<a name="l00108"></a>00108 <span class="keywordflow">return</span> INFO;
<a name="l00109"></a>00109 }
<a name="l00110"></a>00110
<a name="l00111"></a>00111 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatCholeskyFactor(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> *flag){
<a name="l00112"></a>00112 dtpumat* A=(dtpumat*) AA;
<a name="l00113"></a>00113 <span class="keywordtype">int</span> i;
<a name="l00114"></a>00114 ffinteger INFO,LDA=1,N=A->n;
<a name="l00115"></a>00115 <span class="keywordtype">double</span> *AP=A->val,*ss=A->sscale,*v;
<a name="l00116"></a>00116 <span class="keywordtype">char</span> UPLO=A->UPLO;
<a name="l00117"></a>00117
<a name="l00118"></a>00118 <span class="keywordflow">if</span> (N<=0) LDA=1;
<a name="l00119"></a>00119 <span class="keywordflow">else</span> LDA=N;
<a name="l00120"></a>00120 <span class="keywordflow">if</span> (A->scaleit){
<a name="l00121"></a>00121 <span class="keywordflow">for</span> (v=AP,i=0;i<N;i++){ ss[i]=*v;v+=(i+2);}
<a name="l00122"></a>00122 <span class="keywordflow">for</span> (i=0;i<N;i++){ ss[i]=1.0/sqrt(fabs(ss[i])+1.0e-8); }
<a name="l00123"></a>00123 dtpuscalemat(AP,ss,N);
<a name="l00124"></a>00124 }
<a name="l00125"></a>00125 dpptrf(&UPLO, &N, AP, &INFO );
<a name="l00126"></a>00126 *flag=INFO;
<a name="l00127"></a>00127 <span class="keywordflow">return</span> 0;
<a name="l00128"></a>00128 }
<a name="l00129"></a>00129
<a name="l00130"></a>00130 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatShiftDiagonal(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> shift){
<a name="l00131"></a>00131 dtpumat* A=(dtpumat*) AA;
<a name="l00132"></a>00132 <span class="keywordtype">int</span> i,n=A->n;
<a name="l00133"></a>00133 <span class="keywordtype">double</span> *v=A->val;
<a name="l00134"></a>00134 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00135"></a>00135 *v+=shift;
<a name="l00136"></a>00136 v+=i+2;
<a name="l00137"></a>00137 }
<a name="l00138"></a>00138 <span class="keywordflow">return</span> 0;
<a name="l00139"></a>00139 }
<a name="l00140"></a>00140
<a name="l00141"></a>00141
<a name="l00142"></a>00142 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00143"></a>00143 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DTPUMatAssemble"</span>
<a name="l00144"></a>00144 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatAssemble(<span class="keywordtype">void</span>*M){
<a name="l00145"></a>00145 <span class="keywordtype">int</span> info;
<a name="l00146"></a>00146 <span class="keywordtype">double</span> shift=1.0e-15;
<a name="l00147"></a>00147 DSDPFunctionBegin;
<a name="l00148"></a>00148 info= DTPUMatShiftDiagonal(M, shift); DSDPCHKERR(info);
<a name="l00149"></a>00149 DSDPFunctionReturn(0);
<a name="l00150"></a>00150 }
<a name="l00151"></a>00151
<a name="l00152"></a>00152 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatRowNonzeros(<span class="keywordtype">void</span>*M, <span class="keywordtype">int</span> row, <span class="keywordtype">double</span> cols[], <span class="keywordtype">int</span> *ncols,<span class="keywordtype">int</span> nrows){
<a name="l00153"></a>00153 <span class="keywordtype">int</span> i;
<a name="l00154"></a>00154 DSDPFunctionBegin;
<a name="l00155"></a>00155 *ncols = row+1;
<a name="l00156"></a>00156 <span class="keywordflow">for</span> (i=0;i<=row;i++){
<a name="l00157"></a>00157 cols[i]=1.0;
<a name="l00158"></a>00158 }
<a name="l00159"></a>00159 <span class="keywordflow">for</span> (i=row+1;i<nrows;i++){
<a name="l00160"></a>00160 cols[i]=0.0;
<a name="l00161"></a>00161 }
<a name="l00162"></a>00162 DSDPFunctionReturn(0);
<a name="l00163"></a>00163 }
<a name="l00164"></a>00164
<a name="l00165"></a>00165
<a name="l00166"></a>00166 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00167"></a>00167 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DTPUMatDiag"</span>
<a name="l00168"></a>00168 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatDiag(<span class="keywordtype">void</span>*M, <span class="keywordtype">int</span> row, <span class="keywordtype">double</span> dd){
<a name="l00169"></a>00169 <span class="keywordtype">int</span> ii;
<a name="l00170"></a>00170 dtpumat* ABA=(dtpumat*)M;
<a name="l00171"></a>00171 DSDPFunctionBegin;
<a name="l00172"></a>00172 ii=row*(row+1)/2+row;
<a name="l00173"></a>00173 ABA->val[ii] +=dd;
<a name="l00174"></a>00174 DSDPFunctionReturn(0);
<a name="l00175"></a>00175 }
<a name="l00176"></a>00176 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00177"></a>00177 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DTPUMatDiag2"</span>
<a name="l00178"></a>00178 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatDiag2(<span class="keywordtype">void</span>*M, <span class="keywordtype">double</span> diag[], <span class="keywordtype">int</span> m){
<a name="l00179"></a>00179 <span class="keywordtype">int</span> row,ii;
<a name="l00180"></a>00180 dtpumat* ABA=(dtpumat*)M;
<a name="l00181"></a>00181 DSDPFunctionBegin;
<a name="l00182"></a>00182 <span class="keywordflow">for</span> (row=0;row<m;row++){
<a name="l00183"></a>00183 ii=row*(row+1)/2+row;
<a name="l00184"></a>00184 ABA->val[ii] +=diag[row];
<a name="l00185"></a>00185 }
<a name="l00186"></a>00186 DSDPFunctionReturn(0);
<a name="l00187"></a>00187 }
<a name="l00188"></a>00188
<a name="l00189"></a>00189 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatAddRow(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> nrow, <span class="keywordtype">double</span> dd, <span class="keywordtype">double</span> row[], <span class="keywordtype">int</span> n){
<a name="l00190"></a>00190 dtpumat* A=(dtpumat*) AA;
<a name="l00191"></a>00191 ffinteger ione=1,nn,nnn;
<a name="l00192"></a>00192 <span class="keywordtype">double</span> *vv=A->val;
<a name="l00193"></a>00193
<a name="l00194"></a>00194 nnn=nrow*(nrow+1)/2;
<a name="l00195"></a>00195 nn=nrow+1;
<a name="l00196"></a>00196 daxpy(&nn,&dd,row,&ione,vv+nnn,&ione);
<a name="l00197"></a>00197
<a name="l00198"></a>00198 <span class="keywordflow">return</span> 0;
<a name="l00199"></a>00199 }
<a name="l00200"></a>00200
<a name="l00201"></a>00201 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatZero(<span class="keywordtype">void</span>* AA){
<a name="l00202"></a>00202 dtpumat* A=(dtpumat*) AA;
<a name="l00203"></a>00203 <span class="keywordtype">int</span> mn=A->n*(A->n+1)/2;
<a name="l00204"></a>00204 <span class="keywordtype">double</span> *vv=A->val;
<a name="l00205"></a>00205 memset((<span class="keywordtype">void</span>*)vv,0,mn*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00206"></a>00206 <span class="keywordflow">return</span> 0;
<a name="l00207"></a>00207 }
<a name="l00208"></a>00208
<a name="l00209"></a>00209 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatGetSize(<span class="keywordtype">void</span> *AA, <span class="keywordtype">int</span> *n){
<a name="l00210"></a>00210 dtpumat* A=(dtpumat*) AA;
<a name="l00211"></a>00211 *n=A->n;
<a name="l00212"></a>00212 <span class="keywordflow">return</span> 0;
<a name="l00213"></a>00213 }
<a name="l00214"></a>00214
<a name="l00215"></a>00215 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatDestroy(<span class="keywordtype">void</span>* AA){
<a name="l00216"></a>00216 <span class="keywordtype">int</span> info;
<a name="l00217"></a>00217 dtpumat* A=(dtpumat*) AA;
<a name="l00218"></a>00218 <span class="keywordflow">if</span> (A && A->owndata){DSDPFREE(&A->val,&info);DSDPCHKERR(info);}
<a name="l00219"></a>00219 <span class="keywordflow">if</span> (A && A->sscale) {DSDPFREE(&A->sscale,&info);DSDPCHKERR(info);}
<a name="l00220"></a>00220 <span class="keywordflow">if</span> (A) {DSDPFREE(&A,&info);DSDPCHKERR(info);}
<a name="l00221"></a>00221 <span class="keywordflow">return</span> 0;
<a name="l00222"></a>00222 }
<a name="l00223"></a>00223
<a name="l00224"></a>00224 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatView(<span class="keywordtype">void</span>* AA){
<a name="l00225"></a>00225 dtpumat* M=(dtpumat*) AA;
<a name="l00226"></a>00226 <span class="keywordtype">int</span> i,j,kk=0;
<a name="l00227"></a>00227 <span class="keywordtype">double</span> *val=M->val;
<a name="l00228"></a>00228 <span class="keywordflow">for</span> (i=0; i<M->n; i++){
<a name="l00229"></a>00229 <span class="keywordflow">for</span> (j=0; j<=i; j++){
<a name="l00230"></a>00230 printf(<span class="stringliteral">" %9.2e"</span>,val[kk]);
<a name="l00231"></a>00231 kk++;
<a name="l00232"></a>00232 }
<a name="l00233"></a>00233 printf(<span class="stringliteral">"\n"</span>);
<a name="l00234"></a>00234 }
<a name="l00235"></a>00235 <span class="keywordflow">return</span> 0;
<a name="l00236"></a>00236 }
<a name="l00237"></a>00237
<a name="l00238"></a>00238
<a name="l00239"></a>00239 <span class="preprocessor">#include "<a class="code" href="dsdpschurmat__impl_8h.html" title="Function pointers that a Schur complement matrix (dense, sparse, parallel dense) must provide...">dsdpschurmat_impl.h</a>"</span>
<a name="l00240"></a>00240 <span class="preprocessor">#include "<a class="code" href="dsdpsys_8h.html" title="Error handling, printing, and profiling.">dsdpsys.h</a>"</span>
<a name="l00241"></a>00241 <span class="keyword">static</span> <span class="keyword">struct </span>DSDPSchurMat_Ops dsdpmmatops;
<a name="l00242"></a>00242
<a name="l00243"></a>00243 <span class="keyword">static</span> <span class="keywordtype">int</span> DSDPInitSchurOps(<span class="keyword">struct</span> DSDPSchurMat_Ops* mops){
<a name="l00244"></a>00244 <span class="keywordtype">int</span> info;
<a name="l00245"></a>00245 DSDPFunctionBegin;
<a name="l00246"></a>00246 info=<a class="code" href="dsdpschurmat_8c.html#adb7cfe252525b4f617fc276f2c665f6b" title="Initialize function pointers to 0.">DSDPSchurMatOpsInitialize</a>(mops);DSDPCHKERR(info);
<a name="l00247"></a>00247 mops->matrownonzeros=DTPUMatRowNonzeros;
<a name="l00248"></a>00248 mops->matscaledmultiply=DTPUMatMult;
<a name="l00249"></a>00249 mops->mataddrow=DTPUMatAddRow;
<a name="l00250"></a>00250 mops->mataddelement=DTPUMatDiag;
<a name="l00251"></a>00251 mops->matadddiagonal=DTPUMatDiag2;
<a name="l00252"></a>00252 mops->matshiftdiagonal=DTPUMatShiftDiagonal;
<a name="l00253"></a>00253 mops->matassemble=DTPUMatAssemble;
<a name="l00254"></a>00254 mops->matfactor=DTPUMatCholeskyFactor;
<a name="l00255"></a>00255 mops->matsolve=DTPUMatSolve;
<a name="l00256"></a>00256 mops->matdestroy=DTPUMatDestroy;
<a name="l00257"></a>00257 mops->matzero=DTPUMatZero;
<a name="l00258"></a>00258 mops->matview=DTPUMatView;
<a name="l00259"></a>00259 mops->id=1;
<a name="l00260"></a>00260 mops->matname=lapackname;
<a name="l00261"></a>00261 DSDPFunctionReturn(0);
<a name="l00262"></a>00262 }
<a name="l00263"></a>00263
<a name="l00264"></a>00264 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00265"></a>00265 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPGetLAPACKPUSchurOps"</span>
<a name="l00266"></a>00266 <span class="preprocessor"></span><span class="keywordtype">int</span> DSDPGetLAPACKPUSchurOps(<span class="keywordtype">int</span> n,<span class="keyword">struct</span> DSDPSchurMat_Ops** sops, <span class="keywordtype">void</span>** mdata){
<a name="l00267"></a>00267 <span class="keywordtype">int</span> info,nn=n*(n+1)/2;
<a name="l00268"></a>00268 <span class="keywordtype">double</span> *vv;
<a name="l00269"></a>00269 dtpumat*AA;
<a name="l00270"></a>00270 DSDPFunctionBegin;
<a name="l00271"></a>00271 DSDPCALLOC2(&vv,<span class="keywordtype">double</span>,nn,&info);DSDPCHKERR(info);
<a name="l00272"></a>00272 info=DTPUMatCreateWData(n,vv,nn,&AA); DSDPCHKERR(info);
<a name="l00273"></a>00273 AA->owndata=1;
<a name="l00274"></a>00274 AA->scaleit=1;
<a name="l00275"></a>00275 info=DSDPInitSchurOps(&dsdpmmatops); DSDPCHKERR(info);
<a name="l00276"></a>00276 *sops=&dsdpmmatops;
<a name="l00277"></a>00277 *mdata=(<span class="keywordtype">void</span>*)AA;
<a name="l00278"></a>00278 DSDPFunctionReturn(0);
<a name="l00279"></a>00279 }
<a name="l00280"></a>00280
<a name="l00281"></a>00281
<a name="l00282"></a>00282 <span class="keyword">static</span> <span class="keywordtype">void</span> daddrow(<span class="keywordtype">double</span> *v, <span class="keywordtype">double</span> alpha, <span class="keywordtype">int</span> i, <span class="keywordtype">double</span> row[], <span class="keywordtype">int</span> n){
<a name="l00283"></a>00283 <span class="keywordtype">double</span> *s1;
<a name="l00284"></a>00284 ffinteger j,nn=n,ione=1;
<a name="l00285"></a>00285 nn=i+1; s1=v+i*(i+1)/2;
<a name="l00286"></a>00286 daxpy(&nn,&alpha,s1,&ione,row,&ione);
<a name="l00287"></a>00287 <span class="keywordflow">for</span> (j=i+1;j<n;j++){
<a name="l00288"></a>00288 s1+=j;
<a name="l00289"></a>00289 row[j]+=alpha*s1[i];
<a name="l00290"></a>00290 }
<a name="l00291"></a>00291 <span class="keywordflow">return</span>;
<a name="l00292"></a>00292 }
<a name="l00293"></a>00293
<a name="l00294"></a>00294 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatInverseMult(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> indx[], <span class="keywordtype">int</span> nind, <span class="keywordtype">double</span> x[], <span class="keywordtype">double</span> y[], <span class="keywordtype">int</span> n){
<a name="l00295"></a>00295 dtpumat* A=(dtpumat*) AA;
<a name="l00296"></a>00296 ffinteger ione=1,N=n;
<a name="l00297"></a>00297 <span class="keywordtype">double</span> BETA=0.0,ALPHA=1.0;
<a name="l00298"></a>00298 <span class="keywordtype">double</span> *AP=A->v2,*Y=y,*X=x;
<a name="l00299"></a>00299 <span class="keywordtype">int</span> i,ii;
<a name="l00300"></a>00300 <span class="keywordtype">char</span> UPLO=A->UPLO;
<a name="l00301"></a>00301
<a name="l00302"></a>00302 <span class="keywordflow">if</span> (A->n != n) <span class="keywordflow">return</span> 1;
<a name="l00303"></a>00303 <span class="keywordflow">if</span> (x==0 && n>0) <span class="keywordflow">return</span> 3;
<a name="l00304"></a>00304
<a name="l00305"></a>00305 <span class="keywordflow">if</span> (nind<n/4 ){
<a name="l00306"></a>00306 memset((<span class="keywordtype">void</span>*)y,0,n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00307"></a>00307 <span class="keywordflow">for</span> (ii=0;ii<nind;ii++){
<a name="l00308"></a>00308 i=indx[ii]; ALPHA=x[i];
<a name="l00309"></a>00309 daddrow(AP,ALPHA,i,y,n);
<a name="l00310"></a>00310 }
<a name="l00311"></a>00311 } <span class="keywordflow">else</span> {
<a name="l00312"></a>00312 ALPHA=1.0;
<a name="l00313"></a>00313 dspmv(&UPLO,&N,&ALPHA,AP,X,&ione,&BETA,Y,&ione);
<a name="l00314"></a>00314 }
<a name="l00315"></a>00315 <span class="keywordflow">return</span> 0;
<a name="l00316"></a>00316 }
<a name="l00317"></a>00317
<a name="l00318"></a>00318
<a name="l00319"></a>00319 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatCholeskyBackward(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> b[], <span class="keywordtype">double</span> x[], <span class="keywordtype">int</span> n){
<a name="l00320"></a>00320 dtpumat* M=(dtpumat*) AA;
<a name="l00321"></a>00321 ffinteger N=M->n,INCX=1;
<a name="l00322"></a>00322 <span class="keywordtype">double</span> *AP=M->val,*ss=M->sscale;
<a name="l00323"></a>00323 <span class="keywordtype">char</span> UPLO=M->UPLO,TRANS=<span class="charliteral">'N'</span>,DIAG=<span class="charliteral">'N'</span>;
<a name="l00324"></a>00324 memcpy(x,b,N*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00325"></a>00325 dtpsv(&UPLO,&TRANS,&DIAG, &N, AP, x, &INCX );
<a name="l00326"></a>00326 dtpuscalevec(1.0,ss,x,x,n);
<a name="l00327"></a>00327 <span class="keywordflow">return</span> 0;
<a name="l00328"></a>00328 }
<a name="l00329"></a>00329
<a name="l00330"></a>00330
<a name="l00331"></a>00331 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatCholeskyForward(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> b[], <span class="keywordtype">double</span> x[], <span class="keywordtype">int</span> n){
<a name="l00332"></a>00332 dtpumat* M=(dtpumat*) AA;
<a name="l00333"></a>00333 ffinteger N=M->n,INCX=1;
<a name="l00334"></a>00334 <span class="keywordtype">double</span> *AP=M->val,*ss=M->sscale;
<a name="l00335"></a>00335 <span class="keywordtype">char</span> UPLO=M->UPLO,TRANS=<span class="charliteral">'T'</span>,DIAG=<span class="charliteral">'N'</span>;
<a name="l00336"></a>00336 dtpuscalevec(1.0,ss,b,x,n);
<a name="l00337"></a>00337 dtpsv(&UPLO,&TRANS,&DIAG, &N, AP, x, &INCX);
<a name="l00338"></a>00338 <span class="keywordflow">return</span> 0;
<a name="l00339"></a>00339 }
<a name="l00340"></a>00340
<a name="l00341"></a>00341 <span class="keyword">static</span> <span class="keywordtype">int</span> DenseSymPSDCholeskyForwardMultiply(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> x[], <span class="keywordtype">double</span> y[], <span class="keywordtype">int</span> n){
<a name="l00342"></a>00342 dtpumat* A=(dtpumat*) AA;
<a name="l00343"></a>00343 <span class="keywordtype">int</span> i,j,k=0;
<a name="l00344"></a>00344 ffinteger N=A->n;
<a name="l00345"></a>00345 <span class="keywordtype">double</span> *AP=A->val,*ss=A->sscale;
<a name="l00346"></a>00346
<a name="l00347"></a>00347 <span class="keywordflow">if</span> (x==0 && N>0) <span class="keywordflow">return</span> 3;
<a name="l00348"></a>00348 <span class="keywordflow">for</span> (i=0;i<N;i++){
<a name="l00349"></a>00349 <span class="keywordflow">for</span> (j=0;j<=i;j++){
<a name="l00350"></a>00350 y[i]+=AP[k]*x[j];
<a name="l00351"></a>00351 k++;
<a name="l00352"></a>00352 }
<a name="l00353"></a>00353 }
<a name="l00354"></a>00354 <span class="keywordflow">for</span> (i=0;i<N;i++){ y[i]=y[i]/ss[i];}
<a name="l00355"></a>00355 <span class="keywordflow">return</span> 0;
<a name="l00356"></a>00356 }
<a name="l00357"></a>00357
<a name="l00358"></a>00358 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatLogDet(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> *dd){
<a name="l00359"></a>00359 dtpumat* A=(dtpumat*) AA;
<a name="l00360"></a>00360 <span class="keywordtype">int</span> i,n=A->n;
<a name="l00361"></a>00361 <span class="keywordtype">double</span> d=0,*v=A->val,*ss=A->sscale;
<a name="l00362"></a>00362 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00363"></a>00363 <span class="keywordflow">if</span> (*v<=0) <span class="keywordflow">return</span> 1;
<a name="l00364"></a>00364 d+=2*log(*v/ss[i]);
<a name="l00365"></a>00365 v+=i+2;
<a name="l00366"></a>00366 }
<a name="l00367"></a>00367 *dd=d;
<a name="l00368"></a>00368 <span class="keywordflow">return</span> 0;
<a name="l00369"></a>00369 }
<a name="l00370"></a>00370
<a name="l00371"></a>00371 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatInvert(<span class="keywordtype">void</span>* AA){
<a name="l00372"></a>00372 dtpumat* A=(dtpumat*) AA;
<a name="l00373"></a>00373 ffinteger INFO,N=A->n,nn=N*(N+1)/2;
<a name="l00374"></a>00374 <span class="keywordtype">double</span> *v=A->val,*AP=A->v2,*ss=A->sscale;
<a name="l00375"></a>00375 <span class="keywordtype">char</span> UPLO=A->UPLO;
<a name="l00376"></a>00376 memcpy((<span class="keywordtype">void</span>*)AP,(<span class="keywordtype">void</span>*)v,nn*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00377"></a>00377 dpptri(&UPLO, &N, AP, &INFO );
<a name="l00378"></a>00378 <span class="keywordflow">if</span> (INFO){
<a name="l00379"></a>00379 INFO=DTPUMatShiftDiagonal(AA,1e-11);
<a name="l00380"></a>00380 memcpy((<span class="keywordtype">void</span>*)AP,(<span class="keywordtype">void</span>*)v,nn*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00381"></a>00381 dpptri(&UPLO, &N, AP, &INFO );
<a name="l00382"></a>00382 }
<a name="l00383"></a>00383 <span class="keywordflow">if</span> (A->scaleit){
<a name="l00384"></a>00384 dtpuscalemat(AP,ss,N);
<a name="l00385"></a>00385 }
<a name="l00386"></a>00386 <span class="keywordflow">return</span> INFO;
<a name="l00387"></a>00387 }
<a name="l00388"></a>00388
<a name="l00389"></a>00389 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatInverseAdd(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> alpha, <span class="keywordtype">double</span> y[], <span class="keywordtype">int</span> nn, <span class="keywordtype">int</span> n){
<a name="l00390"></a>00390 dtpumat* A=(dtpumat*) AA;
<a name="l00391"></a>00391 ffinteger N=nn,ione=1;
<a name="l00392"></a>00392 <span class="keywordtype">double</span> *v2=A->v2;
<a name="l00393"></a>00393 daxpy(&N,&alpha,v2,&ione,y,&ione);
<a name="l00394"></a>00394 <span class="keywordflow">return</span> 0;
<a name="l00395"></a>00395 }
<a name="l00396"></a>00396
<a name="l00397"></a>00397
<a name="l00398"></a>00398 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatScaleDiagonal(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> dd){
<a name="l00399"></a>00399 dtpumat* A=(dtpumat*) AA;
<a name="l00400"></a>00400 <span class="keywordtype">int</span> i,n=A->n;
<a name="l00401"></a>00401 <span class="keywordtype">double</span> *v=A->val;
<a name="l00402"></a>00402 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00403"></a>00403 *v*=dd;
<a name="l00404"></a>00404 v+=i+2;
<a name="l00405"></a>00405 }
<a name="l00406"></a>00406 <span class="keywordflow">return</span> 0;
<a name="l00407"></a>00407 }
<a name="l00408"></a>00408
<a name="l00409"></a>00409 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatOuterProduct(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> alpha, <span class="keywordtype">double</span> x[], <span class="keywordtype">int</span> n){
<a name="l00410"></a>00410 dtpumat* A=(dtpumat*) AA;
<a name="l00411"></a>00411 ffinteger ione=1,N=n;
<a name="l00412"></a>00412 <span class="keywordtype">double</span> *v=A->val;
<a name="l00413"></a>00413 <span class="keywordtype">char</span> UPLO=A->UPLO;
<a name="l00414"></a>00414 dspr(&UPLO,&N,&alpha,x,&ione,v);
<a name="l00415"></a>00415 <span class="keywordflow">return</span> 0;
<a name="l00416"></a>00416 }
<a name="l00417"></a>00417
<a name="l00418"></a>00418
<a name="l00419"></a>00419 <span class="keyword">static</span> <span class="keywordtype">int</span> DenseSymPSDNormF2(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *dddot){
<a name="l00420"></a>00420 dtpumat* A=(dtpumat*) AA;
<a name="l00421"></a>00421 ffinteger ione=1,nn=A->n*(A->n+1)/2;
<a name="l00422"></a>00422 <span class="keywordtype">double</span> dd,tt=sqrt(0.5),*val=A->val;
<a name="l00423"></a>00423 <span class="keywordtype">int</span> info;
<a name="l00424"></a>00424 info=DTPUMatScaleDiagonal(AA,tt);
<a name="l00425"></a>00425 dd=dnrm2(&nn,val,&ione);
<a name="l00426"></a>00426 info=DTPUMatScaleDiagonal(AA,1.0/tt);
<a name="l00427"></a>00427 *dddot=dd*dd*2;
<a name="l00428"></a>00428 <span class="keywordflow">return</span> 0;
<a name="l00429"></a>00429 }
<a name="l00430"></a>00430
<a name="l00431"></a>00431
<a name="l00432"></a>00432 <span class="comment">/*</span>
<a name="l00433"></a>00433 <span class="comment">static int DTPUMatFNorm2(void* AA, double *mnorm){</span>
<a name="l00434"></a>00434 <span class="comment"> dtpumat* A=(dtpumat*) AA;</span>
<a name="l00435"></a>00435 <span class="comment"> ffinteger ione=1,n;</span>
<a name="l00436"></a>00436 <span class="comment"> double vv=0,*AP=A->val;</span>
<a name="l00437"></a>00437 <span class="comment"> n=A->n*(A->n+1)/2;</span>
<a name="l00438"></a>00438 <span class="comment"> vv=dnrm2(&n,AP,&ione);</span>
<a name="l00439"></a>00439 <span class="comment"> *mnorm=2.0*vv;</span>
<a name="l00440"></a>00440 <span class="comment"> return 1;</span>
<a name="l00441"></a>00441 <span class="comment">}</span>
<a name="l00442"></a>00442 <span class="comment">*/</span>
<a name="l00443"></a>00443
<a name="l00444"></a>00444 <span class="preprocessor">#include "<a class="code" href="dsdpdualmat__impl_8h.html" title="Structure of function pointers that each symmetric positive definite matrix type (dense, sparse) must implement.">dsdpdualmat_impl.h</a>"</span>
<a name="l00445"></a>00445 <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="l00446"></a>00446 <span class="preprocessor">#include "<a class="code" href="dsdpxmat__impl_8h.html" title="Structure of function pointers that each dense matrix array type (upper full, packed symmetric...">dsdpxmat_impl.h</a>"</span>
<a name="l00447"></a>00447 <span class="preprocessor">#include "<a class="code" href="dsdpdsmat__impl_8h.html" title="Structure of function pointers that each SDP Delta S matrix type (sparse, dense, diagonal, ...) must implement.">dsdpdsmat_impl.h</a>"</span>
<a name="l00448"></a>00448
<a name="l00449"></a>00449
<a name="l00450"></a>00450
<a name="l00451"></a>00451 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatFull(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span>*full){
<a name="l00452"></a>00452 *full=1;
<a name="l00453"></a>00453 <span class="keywordflow">return</span> 0;
<a name="l00454"></a>00454 }
<a name="l00455"></a>00455
<a name="l00456"></a>00456
<a name="l00457"></a>00457 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatGetDenseArray(<span class="keywordtype">void</span>* A, <span class="keywordtype">double</span> *v[], <span class="keywordtype">int</span>*n){
<a name="l00458"></a>00458 dtpumat* ABA=(dtpumat*)A;
<a name="l00459"></a>00459 *v=ABA->val;
<a name="l00460"></a>00460 *n=(ABA->n)*(ABA->n+1)/2;
<a name="l00461"></a>00461 <span class="keywordflow">return</span> 0;
<a name="l00462"></a>00462 }
<a name="l00463"></a>00463
<a name="l00464"></a>00464 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatRestoreDenseArray(<span class="keywordtype">void</span>* A, <span class="keywordtype">double</span> *v[], <span class="keywordtype">int</span> *n){
<a name="l00465"></a>00465 *v=0;*n=0;
<a name="l00466"></a>00466 <span class="keywordflow">return</span> 0;
<a name="l00467"></a>00467 }
<a name="l00468"></a>00468
<a name="l00469"></a>00469 <span class="keyword">static</span> <span class="keywordtype">int</span> DDenseSetXMat(<span class="keywordtype">void</span>*A, <span class="keywordtype">double</span> v[], <span class="keywordtype">int</span> nn, <span class="keywordtype">int</span> n){
<a name="l00470"></a>00470 <span class="keywordtype">double</span> *vv;
<a name="l00471"></a>00471 dtpumat* ABA=(dtpumat*)A;
<a name="l00472"></a>00472 vv=ABA->val;
<a name="l00473"></a>00473 <span class="keywordflow">if</span> (v!=vv){
<a name="l00474"></a>00474 memcpy((<span class="keywordtype">void</span>*)vv,(<span class="keywordtype">void</span>*)v,nn*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00475"></a>00475 }
<a name="l00476"></a>00476 <span class="keywordflow">return</span> 0;
<a name="l00477"></a>00477 }
<a name="l00478"></a>00478
<a name="l00479"></a>00479 <span class="keyword">static</span> <span class="keywordtype">int</span> DDenseVecVec(<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="l00480"></a>00480 dtpumat* ABA=(dtpumat*)A;
<a name="l00481"></a>00481 <span class="keywordtype">int</span> i,j,k=0;
<a name="l00482"></a>00482 <span class="keywordtype">double</span> dd=0,*val=ABA->val;
<a name="l00483"></a>00483 *v=0.0;
<a name="l00484"></a>00484 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00485"></a>00485 <span class="keywordflow">for</span> (j=0;j<i;j++){
<a name="l00486"></a>00486 dd+=2*x[i]*x[j]*val[k];
<a name="l00487"></a>00487 k++;
<a name="l00488"></a>00488 }
<a name="l00489"></a>00489 dd+=x[i]*x[i]*val[k];
<a name="l00490"></a>00490 k++;
<a name="l00491"></a>00491 }
<a name="l00492"></a>00492 *v=dd;
<a name="l00493"></a>00493 <span class="keywordflow">return</span> 0;
<a name="l00494"></a>00494 }
<a name="l00495"></a>00495
<a name="l00496"></a>00496 <span class="keyword">static</span> <span class="keyword">struct </span><a class="code" href="structDSDPDSMat__Ops.html" title="Symmetric Delta S matrix for one block in the semidefinite cone.">DSDPDSMat_Ops</a> tdsdensematops;
<a name="l00497"></a>00497 <span class="keyword">static</span> <span class="keywordtype">int</span> DSDPDSDenseInitializeOps(<span class="keyword">struct</span> <a class="code" href="structDSDPDSMat__Ops.html" title="Symmetric Delta S matrix for one block in the semidefinite cone.">DSDPDSMat_Ops</a>* densematops){
<a name="l00498"></a>00498 <span class="keywordtype">int</span> info;
<a name="l00499"></a>00499 <span class="keywordflow">if</span> (!densematops) <span class="keywordflow">return</span> 0;
<a name="l00500"></a>00500 info=<a class="code" href="dsdpdsmat_8c.html#a956667007b1dada1d134e557b0feee9e" title="Set pointers to null.">DSDPDSMatOpsInitialize</a>(densematops); DSDPCHKERR(info);
<a name="l00501"></a>00501 densematops->matseturmat=DDenseSetXMat;
<a name="l00502"></a>00502 densematops->matview=DTPUMatView;
<a name="l00503"></a>00503 densematops->matdestroy=DTPUMatDestroy;
<a name="l00504"></a>00504 densematops->matgetsize=DTPUMatGetSize;
<a name="l00505"></a>00505 densematops->matzeroentries=DTPUMatZero;
<a name="l00506"></a>00506 densematops->matmult=DTPUMatMult;
<a name="l00507"></a>00507 densematops->matvecvec=DDenseVecVec;
<a name="l00508"></a>00508 densematops->id=1;
<a name="l00509"></a>00509 densematops->matname=lapackname;
<a name="l00510"></a>00510 <span class="keywordflow">return</span> 0;
<a name="l00511"></a>00511 }
<a name="l00512"></a>00512
<a name="l00513"></a>00513 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00514"></a>00514 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPCreateDSMatWithArray"</span>
<a name="l00515"></a>00515 <span class="preprocessor"></span><span class="keywordtype">int</span> DSDPCreateDSMatWithArray(<span class="keywordtype">int</span> n,<span class="keywordtype">double</span> vv[], <span class="keywordtype">int</span> nnz, <span class="keyword">struct</span> <a class="code" href="structDSDPDSMat__Ops.html" title="Symmetric Delta S matrix for one block in the semidefinite cone.">DSDPDSMat_Ops</a>* *dsmatops, <span class="keywordtype">void</span>**dsmat){
<a name="l00516"></a>00516 <span class="keywordtype">int</span> info;
<a name="l00517"></a>00517 dtpumat*AA;
<a name="l00518"></a>00518 DSDPFunctionBegin;
<a name="l00519"></a>00519 info=DTPUMatCreateWData(n,vv,nnz,&AA); DSDPCHKERR(info);
<a name="l00520"></a>00520 AA->owndata=0;
<a name="l00521"></a>00521 info=DSDPDSDenseInitializeOps(&tdsdensematops); DSDPCHKERR(info);
<a name="l00522"></a>00522 *dsmatops=&tdsdensematops;
<a name="l00523"></a>00523 *dsmat=(<span class="keywordtype">void</span>*)AA;
<a name="l00524"></a>00524 DSDPFunctionReturn(0);
<a name="l00525"></a>00525 }
<a name="l00526"></a>00526
<a name="l00527"></a>00527
<a name="l00528"></a>00528 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00529"></a>00529 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPCreateDSMat"</span>
<a name="l00530"></a>00530 <span class="preprocessor"></span><span class="keywordtype">int</span> DSDPCreateDSMat(<span class="keywordtype">int</span> n,<span class="keyword">struct</span> <a class="code" href="structDSDPDSMat__Ops.html" title="Symmetric Delta S matrix for one block in the semidefinite cone.">DSDPDSMat_Ops</a>* *dsmatops, <span class="keywordtype">void</span>**dsmat){
<a name="l00531"></a>00531 <span class="keywordtype">int</span> info,nn=n*(n+1)/2;
<a name="l00532"></a>00532 <span class="keywordtype">double</span> *vv;
<a name="l00533"></a>00533 dtpumat*AA;
<a name="l00534"></a>00534 DSDPFunctionBegin;
<a name="l00535"></a>00535 DSDPCALLOC2(&vv,<span class="keywordtype">double</span>,nn,&info);DSDPCHKERR(info);
<a name="l00536"></a>00536 info=DTPUMatCreateWData(n,vv,nn,&AA); DSDPCHKERR(info);
<a name="l00537"></a>00537 info=DSDPDSDenseInitializeOps(&tdsdensematops); DSDPCHKERR(info);
<a name="l00538"></a>00538 *dsmatops=&tdsdensematops;
<a name="l00539"></a>00539 *dsmat=(<span class="keywordtype">void</span>*)AA;
<a name="l00540"></a>00540 AA->owndata=1;
<a name="l00541"></a>00541 DSDPFunctionReturn(0);
<a name="l00542"></a>00542 }
<a name="l00543"></a>00543
<a name="l00544"></a>00544 <span class="keyword">static</span> <span class="keyword">struct </span><a class="code" href="structDSDPVMat__Ops.html" title="Table of function pointers that operate on the dense matrix.">DSDPVMat_Ops</a> turdensematops;
<a name="l00545"></a>00545
<a name="l00546"></a>00546 <span class="keyword">static</span> <span class="keywordtype">int</span> DSDPDenseXInitializeOps(<span class="keyword">struct</span> <a class="code" href="structDSDPVMat__Ops.html" title="Table of function pointers that operate on the dense matrix.">DSDPVMat_Ops</a>* densematops){
<a name="l00547"></a>00547 <span class="keywordtype">int</span> info;
<a name="l00548"></a>00548 <span class="keywordflow">if</span> (!densematops) <span class="keywordflow">return</span> 0;
<a name="l00549"></a>00549 info=<a class="code" href="dsdpxmat_8c.html#ae77a160b7956ada5f40e0ac5085e1e10" title="Set function pointers to null.">DSDPVMatOpsInitialize</a>(densematops); DSDPCHKERR(info);
<a name="l00550"></a>00550 densematops->matview=DTPUMatView;
<a name="l00551"></a>00551 densematops->matscalediagonal=DTPUMatScaleDiagonal;
<a name="l00552"></a>00552 densematops->matshiftdiagonal=DTPUMatShiftDiagonal;
<a name="l00553"></a>00553 densematops->mataddouterproduct=DTPUMatOuterProduct;
<a name="l00554"></a>00554 densematops->matdestroy=DTPUMatDestroy;
<a name="l00555"></a>00555 densematops->matfnorm2=DenseSymPSDNormF2;
<a name="l00556"></a>00556 densematops->matgetsize=DTPUMatGetSize;
<a name="l00557"></a>00557 densematops->matzeroentries=DTPUMatZero;
<a name="l00558"></a>00558 densematops->matgeturarray=DTPUMatGetDenseArray;
<a name="l00559"></a>00559 densematops->matrestoreurarray=DTPUMatRestoreDenseArray;
<a name="l00560"></a>00560 densematops->matmineig=DTPUMatEigs;
<a name="l00561"></a>00561 densematops->matmult=DTPUMatMult;
<a name="l00562"></a>00562 densematops->id=1;
<a name="l00563"></a>00563 densematops->matname=lapackname;
<a name="l00564"></a>00564 <span class="keywordflow">return</span> 0;
<a name="l00565"></a>00565 }
<a name="l00566"></a>00566
<a name="l00567"></a>00567 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00568"></a>00568 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPXMatCreate"</span>
<a name="l00569"></a>00569 <span class="preprocessor"></span><span class="keywordtype">int</span> DSDPXMatPCreate(<span class="keywordtype">int</span> n,<span class="keyword">struct</span> <a class="code" href="structDSDPVMat__Ops.html" title="Table of function pointers that operate on the dense matrix.">DSDPVMat_Ops</a>* *xops, <span class="keywordtype">void</span> * *xmat){
<a name="l00570"></a>00570 <span class="keywordtype">int</span> info,nn=n*(n+1)/2;
<a name="l00571"></a>00571 <span class="keywordtype">double</span> *vv;
<a name="l00572"></a>00572 dtpumat*AA;
<a name="l00573"></a>00573 DSDPFunctionBegin;
<a name="l00574"></a>00574 DSDPCALLOC2(&vv,<span class="keywordtype">double</span>,nn,&info);DSDPCHKERR(info);
<a name="l00575"></a>00575 info=DTPUMatCreateWData(n,vv,nn,&AA); DSDPCHKERR(info);
<a name="l00576"></a>00576 AA->owndata=1;
<a name="l00577"></a>00577 info=DSDPDenseXInitializeOps(&turdensematops); DSDPCHKERR(info);
<a name="l00578"></a>00578 *xops=&turdensematops;
<a name="l00579"></a>00579 *xmat=(<span class="keywordtype">void</span>*)AA;
<a name="l00580"></a>00580 DSDPFunctionReturn(0);
<a name="l00581"></a>00581 }
<a name="l00582"></a>00582
<a name="l00583"></a>00583 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00584"></a>00584 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPXMatCreate"</span>
<a name="l00585"></a>00585 <span class="preprocessor"></span><span class="keywordtype">int</span> DSDPXMatPCreateWithData(<span class="keywordtype">int</span> n,<span class="keywordtype">double</span> nz[],<span class="keywordtype">int</span> nnz,<span class="keyword">struct</span> <a class="code" href="structDSDPVMat__Ops.html" title="Table of function pointers that operate on the dense matrix.">DSDPVMat_Ops</a>* *xops, <span class="keywordtype">void</span> * *xmat){
<a name="l00586"></a>00586 <span class="keywordtype">int</span> i,info;
<a name="l00587"></a>00587 <span class="keywordtype">double</span> dtmp;
<a name="l00588"></a>00588 dtpumat*AA;
<a name="l00589"></a>00589 DSDPFunctionBegin;
<a name="l00590"></a>00590 <span class="keywordflow">for</span> (i=0;i<n*(n+1)/2;i++) dtmp=nz[i];
<a name="l00591"></a>00591 info=DTPUMatCreateWData(n,nz,nnz,&AA); DSDPCHKERR(info);
<a name="l00592"></a>00592 info=DSDPDenseXInitializeOps(&turdensematops); DSDPCHKERR(info);
<a name="l00593"></a>00593 *xops=&turdensematops;
<a name="l00594"></a>00594 *xmat=(<span class="keywordtype">void</span>*)AA;
<a name="l00595"></a>00595 DSDPFunctionReturn(0);
<a name="l00596"></a>00596 }
<a name="l00597"></a>00597
<a name="l00598"></a>00598
<a name="l00599"></a>00599 <span class="keyword">static</span> <span class="keyword">struct </span><a class="code" href="structDSDPDualMat__Ops.html" title="Table of function pointers that operate on the S matrix.">DSDPDualMat_Ops</a> sdmatops;
<a name="l00600"></a>00600 <span class="keyword">static</span> <span class="keywordtype">int</span> SDualOpsInitialize(<span class="keyword">struct</span> <a class="code" href="structDSDPDualMat__Ops.html" title="Table of function pointers that operate on the S matrix.">DSDPDualMat_Ops</a>* sops){
<a name="l00601"></a>00601 <span class="keywordtype">int</span> info;
<a name="l00602"></a>00602 <span class="keywordflow">if</span> (sops==NULL) <span class="keywordflow">return</span> 0;
<a name="l00603"></a>00603 info=<a class="code" href="dsdpdualmat_8c.html#a80e8f72d7a1720fbe7563b2f57acd5c6" title="Set pointers to null.">DSDPDualMatOpsInitialize</a>(sops);DSDPCHKERR(info);
<a name="l00604"></a>00604 sops->matseturmat=DDenseSetXMat;
<a name="l00605"></a>00605 sops->matcholesky=DTPUMatCholeskyFactor;
<a name="l00606"></a>00606 sops->matsolveforward=DTPUMatCholeskyForward;
<a name="l00607"></a>00607 sops->matsolvebackward=DTPUMatCholeskyBackward;
<a name="l00608"></a>00608 sops->matinvert=DTPUMatInvert;
<a name="l00609"></a>00609 sops->matinverseadd=DTPUMatInverseAdd;
<a name="l00610"></a>00610 sops->matinversemultiply=DTPUMatInverseMult;
<a name="l00611"></a>00611 sops->matforwardmultiply=DenseSymPSDCholeskyForwardMultiply;
<a name="l00612"></a>00612 sops->matfull=DTPUMatFull;
<a name="l00613"></a>00613 sops->matdestroy=DTPUMatDestroy;
<a name="l00614"></a>00614 sops->matgetsize=DTPUMatGetSize;
<a name="l00615"></a>00615 sops->matview=DTPUMatView;
<a name="l00616"></a>00616 sops->matlogdet=DTPUMatLogDet;
<a name="l00617"></a>00617 sops->matname=lapackname;
<a name="l00618"></a>00618 sops->id=1;
<a name="l00619"></a>00619 <span class="keywordflow">return</span> 0;
<a name="l00620"></a>00620 }
<a name="l00621"></a>00621
<a name="l00622"></a>00622
<a name="l00623"></a>00623 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00624"></a>00624 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPLAPACKDualMatCreate"</span>
<a name="l00625"></a>00625 <span class="preprocessor"></span><span class="keywordtype">int</span> DSDPLAPACKPUDualMatCreate(<span class="keywordtype">int</span> n,<span class="keyword">struct</span> <a class="code" href="structDSDPDualMat__Ops.html" title="Table of function pointers that operate on the S matrix.">DSDPDualMat_Ops</a> **sops, <span class="keywordtype">void</span>**smat){
<a name="l00626"></a>00626 <span class="keywordtype">int</span> info,nn=n*(n+1)/2;
<a name="l00627"></a>00627 <span class="keywordtype">double</span> *vv;
<a name="l00628"></a>00628 dtpumat*AA;
<a name="l00629"></a>00629 DSDPFunctionBegin;
<a name="l00630"></a>00630 DSDPCALLOC2(&vv,<span class="keywordtype">double</span>,nn,&info);DSDPCHKERR(info);
<a name="l00631"></a>00631 info=DTPUMatCreateWData(n,vv,nn,&AA); DSDPCHKERR(info);
<a name="l00632"></a>00632 AA->owndata=1;;
<a name="l00633"></a>00633 AA->scaleit=1;
<a name="l00634"></a>00634 info=SDualOpsInitialize(&sdmatops);DSDPCHKERR(info);
<a name="l00635"></a>00635 *sops=&sdmatops;
<a name="l00636"></a>00636 *smat=(<span class="keywordtype">void</span>*)AA;
<a name="l00637"></a>00637 DSDPFunctionReturn(0);
<a name="l00638"></a>00638 }
<a name="l00639"></a>00639
<a name="l00640"></a>00640 <span class="keyword">static</span> <span class="keywordtype">int</span> switchptr(<span class="keywordtype">void</span>* SD,<span class="keywordtype">void</span> *SP){
<a name="l00641"></a>00641 dtpumat *s1,*s2;
<a name="l00642"></a>00642 s1=(dtpumat*)(SD);
<a name="l00643"></a>00643 s2=(dtpumat*)(SP);
<a name="l00644"></a>00644 s1->v2=s2->val;
<a name="l00645"></a>00645 s2->v2=s1->val;
<a name="l00646"></a>00646 <span class="keywordflow">return</span> 0;
<a name="l00647"></a>00647 }
<a name="l00648"></a>00648
<a name="l00649"></a>00649
<a name="l00650"></a>00650 <span class="preprocessor">#undef __FUNCT__</span>
<a name="l00651"></a>00651 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPLAPACKDualMatCreate2"</span>
<a name="l00652"></a>00652 <span class="preprocessor"></span><span class="keywordtype">int</span> DSDPLAPACKPUDualMatCreate2(<span class="keywordtype">int</span> n,
<a name="l00653"></a>00653 <span class="keyword">struct</span> <a class="code" href="structDSDPDualMat__Ops.html" title="Table of function pointers that operate on the S matrix.">DSDPDualMat_Ops</a> **sops1, <span class="keywordtype">void</span>**smat1,
<a name="l00654"></a>00654 <span class="keyword">struct</span> <a class="code" href="structDSDPDualMat__Ops.html" title="Table of function pointers that operate on the S matrix.">DSDPDualMat_Ops</a> **sops2, <span class="keywordtype">void</span>**smat2){
<a name="l00655"></a>00655 <span class="keywordtype">int</span> info;
<a name="l00656"></a>00656 DSDPFunctionBegin;
<a name="l00657"></a>00657 info=DSDPLAPACKPUDualMatCreate(n,sops1,smat1);DSDPCHKERR(info);
<a name="l00658"></a>00658 info=DSDPLAPACKPUDualMatCreate(n,sops2,smat2);DSDPCHKERR(info);
<a name="l00659"></a>00659 info=switchptr(*smat1,*smat2);
<a name="l00660"></a>00660 DSDPFunctionReturn(0);
<a name="l00661"></a>00661 }
<a name="l00662"></a>00662
<a name="l00663"></a>00663
<a name="l00664"></a>00664 <span class="keyword">typedef</span> <span class="keyword">struct </span>{
<a name="l00665"></a>00665 <span class="keywordtype">int</span> neigs;
<a name="l00666"></a>00666 <span class="keywordtype">double</span> *eigval;
<a name="l00667"></a>00667 <span class="keywordtype">double</span> *an;
<a name="l00668"></a>00668 } Eigen;
<a name="l00669"></a>00669
<a name="l00670"></a>00670 <span class="keyword">typedef</span> <span class="keyword">struct </span>{
<a name="l00671"></a>00671 dtpumat* AA;
<a name="l00672"></a>00672 <span class="keywordtype">double</span> alpha;
<a name="l00673"></a>00673 Eigen Eig;
<a name="l00674"></a>00674 } dvechmat;
<a name="l00675"></a>00675
<a name="l00676"></a>00676 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00677"></a>00677 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "CreateDvechmatWData"</span>
<a name="l00678"></a>00678 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> CreateDvechmatWdata(<span class="keywordtype">int</span> n, <span class="keywordtype">double</span> alpha, <span class="keywordtype">double</span> vv[], dvechmat **A){
<a name="l00679"></a>00679 <span class="keywordtype">int</span> info,nn=(n*n+n)/2;
<a name="l00680"></a>00680 dvechmat* V;
<a name="l00681"></a>00681 DSDPCALLOC1(&V,dvechmat,&info);DSDPCHKERR(info);
<a name="l00682"></a>00682 info=DTPUMatCreateWData(n,vv,nn,&V->AA); DSDPCHKERR(info);
<a name="l00683"></a>00683 V->Eig.neigs=-1;
<a name="l00684"></a>00684 V->Eig.eigval=0;
<a name="l00685"></a>00685 V->Eig.an=0;
<a name="l00686"></a>00686 V->alpha=alpha;
<a name="l00687"></a>00687 *A=V;
<a name="l00688"></a>00688 <span class="keywordflow">return</span> 0;
<a name="l00689"></a>00689 }
<a name="l00690"></a>00690
<a name="l00691"></a>00691
<a name="l00692"></a>00692 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatGetRowNnz(<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> n){
<a name="l00693"></a>00693 <span class="keywordtype">int</span> k;
<a name="l00694"></a>00694 *nnzz=n;
<a name="l00695"></a>00695 <span class="keywordflow">for</span> (k=0;k<n;k++) nz[k]++;
<a name="l00696"></a>00696 <span class="keywordflow">return</span> 0;
<a name="l00697"></a>00697 }
<a name="l00698"></a>00698
<a name="l00699"></a>00699 <span class="keyword">static</span> <span class="keywordtype">int</span> DTPUMatGetRowAdd(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> nrow, <span class="keywordtype">double</span> ytmp, <span class="keywordtype">double</span> row[], <span class="keywordtype">int</span> n){
<a name="l00700"></a>00700 dtpumat* A=(dtpumat*) AA;
<a name="l00701"></a>00701 ffinteger i,k,nnn=n;
<a name="l00702"></a>00702 <span class="keywordtype">double</span> *v=A->val;
<a name="l00703"></a>00703
<a name="l00704"></a>00704 nnn=nrow*(nrow+1)/2;
<a name="l00705"></a>00705 <span class="keywordflow">for</span> (i=0;i<nrow;i++){
<a name="l00706"></a>00706 row[i]+=ytmp*v[nnn+i];
<a name="l00707"></a>00707 }
<a name="l00708"></a>00708 row[nrow]+=ytmp*v[nnn+nrow];
<a name="l00709"></a>00709 <span class="keywordflow">for</span> (i=nrow+1;i<n;i++){
<a name="l00710"></a>00710 k=i*(i+1)/2+nrow;
<a name="l00711"></a>00711 row[i]+=ytmp*v[k];
<a name="l00712"></a>00712 }
<a name="l00713"></a>00713 <span class="keywordflow">return</span> 0;
<a name="l00714"></a>00714 }
<a name="l00715"></a>00715
<a name="l00716"></a>00716 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatGetRowAdd(<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="l00717"></a>00717 <span class="keywordtype">int</span> info;
<a name="l00718"></a>00718 dvechmat* A=(dvechmat*)AA;
<a name="l00719"></a>00719 info=DTPUMatGetRowAdd((<span class="keywordtype">void</span>*)A->AA ,trow,scl*A->alpha,r,m);
<a name="l00720"></a>00720 <span class="keywordflow">return</span> 0;
<a name="l00721"></a>00721 }
<a name="l00722"></a>00722
<a name="l00723"></a>00723 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatAddMultiple(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> alpha, <span class="keywordtype">double</span> r[], <span class="keywordtype">int</span> nnn, <span class="keywordtype">int</span> n){
<a name="l00724"></a>00724 dvechmat* A=(dvechmat*)AA;
<a name="l00725"></a>00725 ffinteger nn=nnn, ione=1;
<a name="l00726"></a>00726 <span class="keywordtype">double</span> *val=A->AA->val;
<a name="l00727"></a>00727 alpha*=A->alpha;
<a name="l00728"></a>00728 daxpy(&nn,&alpha,val,&ione,r,&ione);
<a name="l00729"></a>00729 <span class="keywordflow">return</span> 0;
<a name="l00730"></a>00730 }
<a name="l00731"></a>00731
<a name="l00732"></a>00732
<a name="l00733"></a>00733 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechEigVecVec(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">double</span>*);
<a name="l00734"></a>00734 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatVecVec(<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="l00735"></a>00735 dvechmat* A=(dvechmat*)AA;
<a name="l00736"></a>00736 <span class="keywordtype">int</span> i,j,k=0;
<a name="l00737"></a>00737 <span class="keywordtype">double</span> dd=0,*val=A->AA->val;
<a name="l00738"></a>00738 *v=0.0;
<a name="l00739"></a>00739 <span class="keywordflow">if</span> (A->Eig.neigs<n/5){
<a name="l00740"></a>00740 i=DvechEigVecVec(AA,x,n,&dd);
<a name="l00741"></a>00741 *v=dd*A->alpha;
<a name="l00742"></a>00742 } <span class="keywordflow">else</span> {
<a name="l00743"></a>00743 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00744"></a>00744 <span class="keywordflow">for</span> (j=0;j<i;j++){
<a name="l00745"></a>00745 dd+=2*x[i]*x[j]*val[k];
<a name="l00746"></a>00746 k++;
<a name="l00747"></a>00747 }
<a name="l00748"></a>00748 dd+=x[i]*x[i]*val[k];
<a name="l00749"></a>00749 k++;
<a name="l00750"></a>00750 }
<a name="l00751"></a>00751 *v=dd*A->alpha;
<a name="l00752"></a>00752 }
<a name="l00753"></a>00753 <span class="keywordflow">return</span> 0;
<a name="l00754"></a>00754 }
<a name="l00755"></a>00755
<a name="l00756"></a>00756
<a name="l00757"></a>00757 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatFNorm2(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *v){
<a name="l00758"></a>00758 dvechmat* A=(dvechmat*)AA;
<a name="l00759"></a>00759 <span class="keywordtype">long</span> <span class="keywordtype">int</span> i,j,k=0;
<a name="l00760"></a>00760 <span class="keywordtype">double</span> dd=0,*x=A->AA->val;
<a name="l00761"></a>00761 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00762"></a>00762 <span class="keywordflow">for</span> (j=0;j<i;j++){
<a name="l00763"></a>00763 dd+=2*x[k]*x[k];
<a name="l00764"></a>00764 k++;
<a name="l00765"></a>00765 }
<a name="l00766"></a>00766 dd+=x[k]*x[k];
<a name="l00767"></a>00767 k++;
<a name="l00768"></a>00768 }
<a name="l00769"></a>00769 *v=dd*A->alpha*A->alpha;
<a name="l00770"></a>00770 <span class="keywordflow">return</span> 0;
<a name="l00771"></a>00771 }
<a name="l00772"></a>00772
<a name="l00773"></a>00773
<a name="l00774"></a>00774 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatCountNonzeros(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> *nnz, <span class="keywordtype">int</span> n){
<a name="l00775"></a>00775 *nnz=n*(n+1)/2;
<a name="l00776"></a>00776 <span class="keywordflow">return</span> 0;
<a name="l00777"></a>00777 }
<a name="l00778"></a>00778
<a name="l00779"></a>00779
<a name="l00780"></a>00780 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatDot(<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="l00781"></a>00781 dvechmat* A=(dvechmat*)AA;
<a name="l00782"></a>00782 ffinteger ione=1,nnn=nn;
<a name="l00783"></a>00783 <span class="keywordtype">double</span> dd,*val=A->AA->val;
<a name="l00784"></a>00784 dd=ddot(&nnn,val,&ione,x,&ione);
<a name="l00785"></a>00785 *v=2*dd*A->alpha;
<a name="l00786"></a>00786 <span class="keywordflow">return</span> 0;
<a name="l00787"></a>00787 }
<a name="l00788"></a>00788
<a name="l00789"></a>00789 <span class="comment">/*</span>
<a name="l00790"></a>00790 <span class="comment">static int DvechmatNormF2(void* AA, int n, double *v){</span>
<a name="l00791"></a>00791 <span class="comment"> dvechmat* A=(dvechmat*)AA;</span>
<a name="l00792"></a>00792 <span class="comment"> return(DTPUMatNormF2((void*)(A->AA), n,v));</span>
<a name="l00793"></a>00793 <span class="comment">}</span>
<a name="l00794"></a>00794 <span class="comment">*/</span>
<a name="l00795"></a>00795 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00796"></a>00796 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DvechmatDestroy"</span>
<a name="l00797"></a>00797 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatDestroy(<span class="keywordtype">void</span>* AA){
<a name="l00798"></a>00798 dvechmat* A=(dvechmat*)AA;
<a name="l00799"></a>00799 <span class="keywordtype">int</span> info;
<a name="l00800"></a>00800 info=DTPUMatDestroy((<span class="keywordtype">void</span>*)(A->AA));
<a name="l00801"></a>00801 <span class="keywordflow">if</span> (A->Eig.an){DSDPFREE(&A->Eig.an,&info);DSDPCHKERR(info);}
<a name="l00802"></a>00802 <span class="keywordflow">if</span> (A->Eig.eigval){DSDPFREE(&A->Eig.eigval,&info);DSDPCHKERR(info);}
<a name="l00803"></a>00803 A->Eig.neigs=-1;
<a name="l00804"></a>00804 DSDPFREE(&A,&info);DSDPCHKERR(info);
<a name="l00805"></a>00805 <span class="keywordflow">return</span> 0;
<a name="l00806"></a>00806 }
<a name="l00807"></a>00807
<a name="l00808"></a>00808
<a name="l00809"></a>00809 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatView(<span class="keywordtype">void</span>* AA){
<a name="l00810"></a>00810 dvechmat* A=(dvechmat*)AA;
<a name="l00811"></a>00811 dtpumat* M=A->AA;
<a name="l00812"></a>00812 <span class="keywordtype">int</span> i,j,kk=0;
<a name="l00813"></a>00813 <span class="keywordtype">double</span> *val=M->val;
<a name="l00814"></a>00814 <span class="keywordflow">for</span> (i=0; i<M->n; i++){
<a name="l00815"></a>00815 <span class="keywordflow">for</span> (j=0; j<=i; j++){
<a name="l00816"></a>00816 printf(<span class="stringliteral">" %4.2e"</span>,A->alpha*val[kk]);
<a name="l00817"></a>00817 kk++;
<a name="l00818"></a>00818 }
<a name="l00819"></a>00819 printf(<span class="stringliteral">" \n"</span>);
<a name="l00820"></a>00820 }
<a name="l00821"></a>00821 <span class="keywordflow">return</span> 0;
<a name="l00822"></a>00822 }
<a name="l00823"></a>00823
<a name="l00824"></a>00824
<a name="l00825"></a>00825 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00826"></a>00826 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPCreateDvechmatEigs"</span>
<a name="l00827"></a>00827 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> CreateEigenLocker(Eigen *E,<span class="keywordtype">int</span> neigs, <span class="keywordtype">int</span> n){
<a name="l00828"></a>00828 <span class="keywordtype">int</span> info;
<a name="l00829"></a>00829 DSDPCALLOC2(&E->eigval,<span class="keywordtype">double</span>,neigs,&info);DSDPCHKERR(info);
<a name="l00830"></a>00830 DSDPCALLOC2(&E->an,<span class="keywordtype">double</span>,n*neigs,&info);DSDPCHKERR(info);
<a name="l00831"></a>00831 E->neigs=neigs;
<a name="l00832"></a>00832 <span class="keywordflow">return</span> 0;
<a name="l00833"></a>00833 }
<a name="l00834"></a>00834
<a name="l00835"></a>00835
<a name="l00836"></a>00836 <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">double</span> v[], <span class="keywordtype">int</span> n){
<a name="l00837"></a>00837 <span class="keywordtype">double</span> *an=A->an;
<a name="l00838"></a>00838 A->eigval[row]=eigv;
<a name="l00839"></a>00839 memcpy((<span class="keywordtype">void</span>*)(an+n*row),(<span class="keywordtype">void</span>*)v,n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00840"></a>00840 <span class="keywordflow">return</span> 0;
<a name="l00841"></a>00841 }
<a name="l00842"></a>00842
<a name="l00843"></a>00843
<a name="l00844"></a>00844 <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){
<a name="l00845"></a>00845 <span class="keywordtype">double</span>* an=A->an;
<a name="l00846"></a>00846 *eigenvalue=A->eigval[row];
<a name="l00847"></a>00847 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="l00848"></a>00848 <span class="keywordflow">return</span> 0;
<a name="l00849"></a>00849 }
<a name="l00850"></a>00850
<a name="l00851"></a>00851
<a name="l00852"></a>00852 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatComputeEigs(dvechmat*,<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>);
<a name="l00853"></a>00853
<a name="l00854"></a>00854 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatFactor(<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="l00855"></a>00855
<a name="l00856"></a>00856 <span class="keywordtype">int</span> info;
<a name="l00857"></a>00857 dvechmat* A=(dvechmat*)AA;
<a name="l00858"></a>00858 <span class="keywordflow">if</span> (A->Eig.neigs>=0) <span class="keywordflow">return</span> 0;
<a name="l00859"></a>00859 info=DvechmatComputeEigs(A,dmatp,nn0,dwork,n,ddwork,n1,iptr,n2);DSDPCHKERR(info);
<a name="l00860"></a>00860 <span class="keywordflow">return</span> 0;
<a name="l00861"></a>00861 }
<a name="l00862"></a>00862
<a name="l00863"></a>00863 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatGetRank(<span class="keywordtype">void</span> *AA,<span class="keywordtype">int</span> *rank, <span class="keywordtype">int</span> n){
<a name="l00864"></a>00864 dvechmat* A=(dvechmat*)AA;
<a name="l00865"></a>00865 <span class="keywordflow">if</span> (A->Eig.neigs>=0){
<a name="l00866"></a>00866 *rank=A->Eig.neigs;
<a name="l00867"></a>00867 } <span class="keywordflow">else</span> {
<a name="l00868"></a>00868 DSDPSETERR(1,<span class="stringliteral">"Vech Matrix not factored yet\n"</span>);
<a name="l00869"></a>00869 }
<a name="l00870"></a>00870 <span class="keywordflow">return</span> 0;
<a name="l00871"></a>00871 }
<a name="l00872"></a>00872
<a name="l00873"></a>00873 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatGetEig(<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> indz[], <span class="keywordtype">int</span> *nind){
<a name="l00874"></a>00874 dvechmat* A=(dvechmat*)AA;
<a name="l00875"></a>00875 <span class="keywordtype">int</span> i,info;
<a name="l00876"></a>00876 <span class="keywordtype">double</span> dd;
<a name="l00877"></a>00877 <span class="keywordflow">if</span> (A->Eig.neigs>0){
<a name="l00878"></a>00878 info=EigMatGetEig(&A->Eig,rank,&dd,vv,n);DSDPCHKERR(info);
<a name="l00879"></a>00879 *nind=n;
<a name="l00880"></a>00880 *eigenvalue=dd*A->alpha;
<a name="l00881"></a>00881 <span class="keywordflow">for</span> (i=0;i<n;i++){ indz[i]=i;}
<a name="l00882"></a>00882 } <span class="keywordflow">else</span> {
<a name="l00883"></a>00883 DSDPSETERR(1,<span class="stringliteral">"Vech Matrix not factored yet\n"</span>);
<a name="l00884"></a>00884 }
<a name="l00885"></a>00885 <span class="keywordflow">return</span> 0;
<a name="l00886"></a>00886 }
<a name="l00887"></a>00887
<a name="l00888"></a>00888 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechEigVecVec(<span class="keywordtype">void</span>* AA, <span class="keywordtype">double</span> v[], <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *vv){
<a name="l00889"></a>00889 dvechmat* A=(dvechmat*)AA;
<a name="l00890"></a>00890 <span class="keywordtype">int</span> i,rank,neigs;
<a name="l00891"></a>00891 <span class="keywordtype">double</span> *an,dd,ddd=0,*eigval;
<a name="l00892"></a>00892 <span class="keywordflow">if</span> (A->Eig.neigs>=0){
<a name="l00893"></a>00893 an=A->Eig.an;
<a name="l00894"></a>00894 neigs=A->Eig.neigs;
<a name="l00895"></a>00895 eigval=A->Eig.eigval;
<a name="l00896"></a>00896 <span class="keywordflow">for</span> (rank=0;rank<neigs;rank++){
<a name="l00897"></a>00897 <span class="keywordflow">for</span> (dd=0,i=0;i<n;i++){
<a name="l00898"></a>00898 dd+=v[i]*an[i];
<a name="l00899"></a>00899 }
<a name="l00900"></a>00900 an+=n;
<a name="l00901"></a>00901 ddd+=dd*dd*eigval[rank];
<a name="l00902"></a>00902 }
<a name="l00903"></a>00903 *vv=ddd*A->alpha;
<a name="l00904"></a>00904 } <span class="keywordflow">else</span> {
<a name="l00905"></a>00905 DSDPSETERR(1,<span class="stringliteral">"Vech Matrix not factored yet\n"</span>);
<a name="l00906"></a>00906 }
<a name="l00907"></a>00907 <span class="keywordflow">return</span> 0;
<a name="l00908"></a>00908 }
<a name="l00909"></a>00909
<a name="l00910"></a>00910
<a name="l00911"></a>00911 <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> dvechmatops;
<a name="l00912"></a>00912 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *datamatname=<span class="stringliteral">"DENSE VECH MATRIX"</span>;
<a name="l00913"></a>00913
<a name="l00914"></a>00914 <span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatOpsInitialize(<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="l00915"></a>00915 <span class="keywordtype">int</span> info;
<a name="l00916"></a>00916 <span class="keywordflow">if</span> (sops==NULL) <span class="keywordflow">return</span> 0;
<a name="l00917"></a>00917 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="l00918"></a>00918 sops->matvecvec=DvechmatVecVec;
<a name="l00919"></a>00919 sops->matdot=DvechmatDot;
<a name="l00920"></a>00920 sops->mataddrowmultiple=DvechmatGetRowAdd;
<a name="l00921"></a>00921 sops->mataddallmultiple=DvechmatAddMultiple;
<a name="l00922"></a>00922 sops->matview=DvechmatView;
<a name="l00923"></a>00923 sops->matdestroy=DvechmatDestroy;
<a name="l00924"></a>00924 sops->matfactor2=DvechmatFactor;
<a name="l00925"></a>00925 sops->matgetrank=DvechmatGetRank;
<a name="l00926"></a>00926 sops->matgeteig=DvechmatGetEig;
<a name="l00927"></a>00927 sops->matrownz=DvechmatGetRowNnz;
<a name="l00928"></a>00928 sops->matfnorm2=DvechmatFNorm2;
<a name="l00929"></a>00929 sops->matnnz=DvechmatCountNonzeros;
<a name="l00930"></a>00930 sops->id=1;
<a name="l00931"></a>00931 sops->matname=datamatname;
<a name="l00932"></a>00932 <span class="keywordflow">return</span> 0;
<a name="l00933"></a>00933 }
<a name="l00934"></a>00934
<a name="l00935"></a>00935 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00936"></a>00936 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DSDPGetDmat"</span>
<a name="l00937"></a>00937 <span class="preprocessor"></span><span class="keywordtype">int</span> DSDPGetDMat(<span class="keywordtype">int</span> n,<span class="keywordtype">double</span> alpha, <span class="keywordtype">double</span> *val, <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="l00938"></a>00938 <span class="keywordtype">int</span> info,k;
<a name="l00939"></a>00939 <span class="keywordtype">double</span> dtmp;
<a name="l00940"></a>00940 dvechmat* A;
<a name="l00941"></a>00941 DSDPFunctionBegin;
<a name="l00942"></a>00942
<a name="l00943"></a>00943 <span class="keywordflow">for</span> (k=0;k<n*(n+1)/2;++k) dtmp=val[k];
<a name="l00944"></a>00944 info=CreateDvechmatWdata(n,alpha,val,&A); DSDPCHKERR(info);
<a name="l00945"></a>00945 A->Eig.neigs=-1;
<a name="l00946"></a>00946 info=DvechmatOpsInitialize(&dvechmatops); DSDPCHKERR(info);
<a name="l00947"></a>00947 <span class="keywordflow">if</span> (sops){*sops=&dvechmatops;}
<a name="l00948"></a>00948 <span class="keywordflow">if</span> (smat){*smat=(<span class="keywordtype">void</span>*)A;}
<a name="l00949"></a>00949 DSDPFunctionReturn(0);
<a name="l00950"></a>00950 }
<a name="l00951"></a>00951
<a name="l00952"></a>00952
<a name="l00953"></a>00953 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00954"></a>00954 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "DvechmatComputeEigs"</span>
<a name="l00955"></a>00955 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> DvechmatComputeEigs(dvechmat* 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){
<a name="l00956"></a>00956
<a name="l00957"></a>00957 <span class="keywordtype">int</span> i,j,k,neigs,info;
<a name="l00958"></a>00958 <span class="keywordtype">long</span> <span class="keywordtype">int</span> *i2darray=(<span class="keywordtype">long</span> <span class="keywordtype">int</span>*)DD;
<a name="l00959"></a>00959 <span class="keywordtype">int</span> ownarray1=0,ownarray2=0,ownarray3=0;
<a name="l00960"></a>00960 <span class="keywordtype">double</span> *val=AA->AA->val;
<a name="l00961"></a>00961 <span class="keywordtype">double</span> *dmatarray=0,*dworkarray=0,eps=1.0e-12;
<a name="l00962"></a>00962 <span class="keywordtype">int</span> nn1=0,nn2=0;
<a name="l00963"></a>00963
<a name="l00964"></a>00964 <span class="comment">/* create a dense array in which to put numbers */</span>
<a name="l00965"></a>00965 <span class="keywordflow">if</span> (n*n>nn1){
<a name="l00966"></a>00966 DSDPCALLOC2(&dmatarray,<span class="keywordtype">double</span>,(n*n),&info); DSDPCHKERR(info);
<a name="l00967"></a>00967 ownarray1=1;
<a name="l00968"></a>00968 }
<a name="l00969"></a>00969 memset((<span class="keywordtype">void</span>*)dmatarray,0,n*n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00970"></a>00970
<a name="l00971"></a>00971 <span class="keywordflow">if</span> (n*n>nn2){
<a name="l00972"></a>00972 DSDPCALLOC2(&dworkarray,<span class="keywordtype">double</span>,(n*n),&info); DSDPCHKERR(info);
<a name="l00973"></a>00973 ownarray2=1;
<a name="l00974"></a>00974 }
<a name="l00975"></a>00975
<a name="l00976"></a>00976 <span class="keywordflow">if</span> (n*n*<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="l00977"></a>00977 DSDPCALLOC2(&i2darray,<span class="keywordtype">long</span> <span class="keywordtype">int</span>,(n*n),&info); DSDPCHKERR(info);
<a name="l00978"></a>00978 ownarray3=1;
<a name="l00979"></a>00979 }
<a name="l00980"></a>00980
<a name="l00981"></a>00981
<a name="l00982"></a>00982 <span class="keywordflow">for</span> (k=0,i=0; i<n; i++){
<a name="l00983"></a>00983 <span class="keywordflow">for</span> (j=0; j<=i; j++){
<a name="l00984"></a>00984 dmatarray[i*n+j] += val[k];
<a name="l00985"></a>00985 <span class="keywordflow">if</span> (i!=j){
<a name="l00986"></a>00986 dmatarray[j*n+i] += val[k];
<a name="l00987"></a>00987 }
<a name="l00988"></a>00988 k++;
<a name="l00989"></a>00989 }
<a name="l00990"></a>00990 }
<a name="l00991"></a>00991 <span class="comment">/* Call LAPACK to compute the eigenvalues */</span>
<a name="l00992"></a>00992 info=DSDPGetEigs(dmatarray,n,dworkarray,n*n,i2darray,n*n,
<a name="l00993"></a>00993 W,n,WORK,n1,iiptr+3*n,n2-3*n); DSDPCHKERR(info);
<a name="l00994"></a>00994
<a name="l00995"></a>00995 <span class="comment">/* Count the nonzero eigenvalues */</span>
<a name="l00996"></a>00996 <span class="keywordflow">for</span> (neigs=0,i=0;i<n;i++){
<a name="l00997"></a>00997 <span class="keywordflow">if</span> (fabs(W[i])> eps ){ neigs++;}
<a name="l00998"></a>00998 }
<a name="l00999"></a>00999
<a name="l01000"></a>01000 info=CreateEigenLocker(&AA->Eig,neigs,n);DSDPCHKERR(info);
<a name="l01001"></a>01001
<a name="l01002"></a>01002 <span class="comment">/* Copy into structure */</span>
<a name="l01003"></a>01003 <span class="keywordflow">for</span> (neigs=0,i=0; i<n; i++){
<a name="l01004"></a>01004 <span class="keywordflow">if</span> (fabs(W[i]) > eps){
<a name="l01005"></a>01005 info=EigMatSetEig(&AA->Eig,neigs,W[i],dmatarray+n*i,n);DSDPCHKERR(info);
<a name="l01006"></a>01006 neigs++;
<a name="l01007"></a>01007 }
<a name="l01008"></a>01008 }
<a name="l01009"></a>01009
<a name="l01010"></a>01010 <span class="keywordflow">if</span> (ownarray1){ DSDPFREE(&dmatarray,&info);DSDPCHKERR(info);}
<a name="l01011"></a>01011 <span class="keywordflow">if</span> (ownarray2){ DSDPFREE(&dworkarray,&info);DSDPCHKERR(info);}
<a name="l01012"></a>01012 <span class="keywordflow">if</span> (ownarray3){ DSDPFREE(&i2darray,&info);DSDPCHKERR(info);}
<a name="l01013"></a>01013 <span class="keywordflow">return</span> 0;
<a name="l01014"></a>01014 }
<a name="l01015"></a>01015
</pre></div></div>
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