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<a href="theta_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="dsdp5_8h.html" title="The API to DSDP for those applications using DSDP as a subroutine library.">dsdp5.h</a>"</span>
<a name="l00002"></a>00002 <span class="preprocessor">#include <stdio.h></span>
<a name="l00003"></a>00003 <span class="preprocessor">#include <string.h></span>
<a name="l00004"></a>00004 <span class="preprocessor">#include <math.h></span>
<a name="l00005"></a>00005 <span class="preprocessor">#include <stdlib.h></span>
<a name="l00006"></a>00006
<a name="l00011"></a>00011 <span class="keywordtype">char</span> help[]=<span class="stringliteral">"\n\</span>
<a name="l00012"></a>00012 <span class="stringliteral">Compute the Lovasz theta number for a graph. This number is an upper bound for \n\</span>
<a name="l00013"></a>00013 <span class="stringliteral">the maximum clique of a graph, a lower bound for the mimimal graph coloring, and serves \n\</span>
<a name="l00014"></a>00014 <span class="stringliteral">as a bound for several other combitorial graph problems. The number is the solution to \n\</span>
<a name="l00015"></a>00015 <span class="stringliteral">a semidfinite program. \n\n\</span>
<a name="l00016"></a>00016 <span class="stringliteral">The file should be the complement of the graph \n\</span>
<a name="l00017"></a>00017 <span class="stringliteral">This file also demonstrates the use of customized data matrices in DSDP.\n\n\</span>
<a name="l00018"></a>00018 <span class="stringliteral">DSDP Usage: theta <graph complement filename> \n"</span>;
<a name="l00019"></a>00019
<a name="l00020"></a>00020 <span class="keyword">typedef</span> <span class="keyword">struct </span>{
<a name="l00021"></a>00021 <span class="keywordtype">int</span> v1,v2;
<a name="l00022"></a>00022 } EdgeMat;
<a name="l00023"></a>00023
<a name="l00024"></a>00024 <span class="preprocessor">#include "../src/sdp/dsdpdatamat_impl.h"</span>
<a name="l00025"></a>00025 <span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="group__SDPData.html#ga16144b39108a8daef0d993f14404d6ca" title="Add a data matrix .">SDPConeAddDataMatrix</a>(<a class="code" href="structSDPCone__C.html" title="Internal structure for semidefinite cone.">SDPCone</a>,<span class="keywordtype">int</span>, <span class="keywordtype">int</span>, <span class="keywordtype">int</span>, <span class="keywordtype">char</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>*, <span class="keywordtype">void</span>*);
<a name="l00026"></a>00026
<a name="l00027"></a>00027
<a name="l00028"></a>00028 <span class="comment">/* These variables and routines are for customized SDP Data Matrices */</span>
<a name="l00029"></a>00029 <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> edgematop;
<a name="l00030"></a>00030 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatOperationsInitialize(<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>*);
<a name="l00031"></a>00031
<a name="l00032"></a>00032 <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> onematops;
<a name="l00033"></a>00033 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatOpsInitialize(<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>*);
<a name="l00034"></a>00034
<a name="l00035"></a>00035 <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> identitymatops;
<a name="l00036"></a>00036 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentitymatOperationsInitialize(<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>*);
<a name="l00037"></a>00037
<a name="l00038"></a>00038 <span class="keyword">static</span> <span class="keywordtype">int</span> ReadGraphFromFile(<span class="keywordtype">char</span>*,<span class="keywordtype">int</span>*, <span class="keywordtype">int</span>*, EdgeMat*[]);
<a name="l00039"></a>00039 <span class="keywordtype">int</span> <a class="code" href="group__Examples.html#ga057c11d585e54140dad8c497d57ffeba" title="Given a graph, formulate Lovasz problem and set data.">SetThetaData</a>(<a class="code" href="structDSDP__C.html" title="Internal structures for the DSDP solver.">DSDP</a>, <a class="code" href="structSDPCone__C.html" title="Internal structure for semidefinite cone.">SDPCone</a>, <span class="keywordtype">int</span>, <span class="keywordtype">int</span>, EdgeMat[]);
<a name="l00040"></a>00040 <span class="keywordtype">int</span> <a class="code" href="group__Examples.html#gaad34f97e78cc37bbe76ac5fd5524fcf8" title="Formulate and solve the Lovasz theta problem.">LovaszTheta</a>(<span class="keywordtype">int</span> argc,<span class="keywordtype">char</span> *argv[]);
<a name="l00041"></a>00041
<a name="l00042"></a>00042 <span class="keywordtype">int</span> main(<span class="keywordtype">int</span> argc,<span class="keywordtype">char</span> *argv[]){
<a name="l00043"></a>00043 <span class="keywordtype">int</span> info;
<a name="l00044"></a>00044 info=<a class="code" href="group__Examples.html#gaad34f97e78cc37bbe76ac5fd5524fcf8" title="Formulate and solve the Lovasz theta problem.">LovaszTheta</a>(argc,argv);
<a name="l00045"></a>00045 <span class="keywordflow">return</span> 0;
<a name="l00046"></a>00046 }
<a name="l00047"></a>00047
<a name="l00056"></a><a class="code" href="group__Examples.html#gaad34f97e78cc37bbe76ac5fd5524fcf8">00056</a> <span class="keywordtype">int</span> <a class="code" href="group__Examples.html#gaad34f97e78cc37bbe76ac5fd5524fcf8" title="Formulate and solve the Lovasz theta problem.">LovaszTheta</a>(<span class="keywordtype">int</span> argc,<span class="keywordtype">char</span> *argv[]){
<a name="l00057"></a>00057
<a name="l00058"></a>00058 <span class="keywordtype">int</span> info,kk,nedges,nnodes;
<a name="l00059"></a>00059 EdgeMat *Edges;
<a name="l00060"></a>00060 <a class="code" href="structDSDP__C.html" title="Internal structures for the DSDP solver.">DSDP</a> dsdp;
<a name="l00061"></a>00061 <a class="code" href="structSDPCone__C.html" title="Internal structure for semidefinite cone.">SDPCone</a> sdpcone;
<a name="l00062"></a>00062
<a name="l00063"></a>00063 <span class="keywordflow">if</span> (argc<2){ printf(<span class="stringliteral">"%s"</span>,help); <span class="keywordflow">return</span>(1); }
<a name="l00064"></a>00064
<a name="l00065"></a>00065 info = ReadGraphFromFile(argv[1],&nnodes,&nedges,&Edges);
<a name="l00066"></a>00066 <span class="keywordflow">if</span> (info){ printf(<span class="stringliteral">"Problem reading file\n"</span>); <span class="keywordflow">return</span> 1; }
<a name="l00067"></a>00067
<a name="l00068"></a>00068 info = <a class="code" href="group__DSDPBasic.html#gaa32509ded8359326d02782adb91c745a" title="Create a DSDP solver. FIRST DSDP routine!">DSDPCreate</a>(nedges+1,&dsdp);
<a name="l00069"></a>00069 info = DSDPCreateSDPCone(dsdp,1,&sdpcone);
<a name="l00070"></a>00070 info = <a class="code" href="group__SDPRoutines.html#ga0c3a5c6eee6aca0ab0c222fbfcca1d19" title="Set the dimension of one block in the semidefinite cone.">SDPConeSetBlockSize</a>(sdpcone,0,nnodes);
<a name="l00071"></a>00071 info = <a class="code" href="group__SDPData.html#gaa3747efc8ae918a9be9138dcab3cf7bd" title="Use packed symmetric format for the dense array.">SDPConeUsePackedFormat</a>(sdpcone,0);
<a name="l00072"></a>00072 info = <a class="code" href="group__SDPRoutines.html#ga40728695e4c841900c02c615a8d96ab0" title="Set the number of nonzero matrices in a block of the semidefinite cone.">SDPConeSetSparsity</a>(sdpcone,0,nedges+1);
<a name="l00073"></a>00073 <span class="keywordflow">if</span> (info){ printf(<span class="stringliteral">"Out of memory\n"</span>); <span class="keywordflow">return</span> 1; }
<a name="l00074"></a>00074 info = <a class="code" href="group__Examples.html#ga057c11d585e54140dad8c497d57ffeba" title="Given a graph, formulate Lovasz problem and set data.">SetThetaData</a>(dsdp, sdpcone, nnodes, nedges, Edges);
<a name="l00075"></a>00075 <span class="keywordflow">if</span> (info){ printf(<span class="stringliteral">"Out of memory\n"</span>); <span class="keywordflow">return</span> 1; }
<a name="l00076"></a>00076
<a name="l00077"></a>00077 info = <a class="code" href="group__DSDPConverge.html#ga4c0fa6941c40cca7643c2f4a9ae813bf" title="Terminate the solver when the relative duality gap is less than this tolerance.">DSDPSetGapTolerance</a>(dsdp,0.001);
<a name="l00078"></a>00078 info = <a class="code" href="group__DSDPSolver.html#ga2795069b8aaa6551a8c1c248bbb2cb1a" title="Set an upper bound on the objective value at the solution.">DSDPSetZBar</a>(dsdp,nnodes+1);
<a name="l00079"></a>00079 info = <a class="code" href="group__DSDPSolver.html#ga903ff948f2ba766430ba3918b9447ee7" title="Reuse the Hessian of the barrier function multiple times at each DSDP iteration.">DSDPReuseMatrix</a>(dsdp,10);
<a name="l00080"></a>00080
<a name="l00081"></a>00081 <span class="keywordflow">for</span> (kk=1; kk<argc-1; kk++){
<a name="l00082"></a>00082 <span class="keywordflow">if</span> (strncmp(argv[kk],<span class="stringliteral">"-dloginfo"</span>,8)==0){
<a name="l00083"></a>00083 info=DSDPLogInfoAllow(<a class="code" href="dsdpbasictypes_8h.html#ae667f2bff3ab5ab0bc109fa76dc4ed65ae6b2e53e51e94a5fa7204ceac78f824f">DSDP_TRUE</a>,0);
<a name="l00084"></a>00084 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (strncmp(argv[kk],<span class="stringliteral">"-params"</span>,7)==0){
<a name="l00085"></a>00085 info=<a class="code" href="group__DSDPSolver.html#gab1340aac2a0c79108be725389f481979" title="Read DSDP parameters from a file.">DSDPReadOptions</a>(dsdp,argv[kk+1]);
<a name="l00086"></a>00086 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (strncmp(argv[kk],<span class="stringliteral">"-help"</span>,5)==0){
<a name="l00087"></a>00087 printf(<span class="stringliteral">"%s\n"</span>,help);
<a name="l00088"></a>00088 }
<a name="l00089"></a>00089 }
<a name="l00090"></a>00090 info=<a class="code" href="group__DSDPBasic.html#ga5f1941aaedfa888e940bad968ac0d847" title="Read command line arguments to set options in DSDP.">DSDPSetOptions</a>(dsdp,argv,argc);
<a name="l00091"></a>00091
<a name="l00092"></a>00092 <span class="keywordflow">if</span> (info){ printf(<span class="stringliteral">"Out of memory\n"</span>); <span class="keywordflow">return</span> 1; }
<a name="l00093"></a>00093 info = <a class="code" href="group__DSDPBasic.html#ga945023e6d663d0897d3d04a7d738608d" title="Print at every kth iteration.">DSDPSetStandardMonitor</a>(dsdp,1);
<a name="l00094"></a>00094 <span class="keywordflow">if</span> (info){ printf(<span class="stringliteral">"Monitor Problem \n"</span>); <span class="keywordflow">return</span> 1; }
<a name="l00095"></a>00095
<a name="l00096"></a>00096 info = <a class="code" href="group__DSDPBasic.html#ga2bd311ea1ecad8f690255b8a35f694a0" title="Set up data structures in the solver and the cones associated with it.">DSDPSetup</a>(dsdp);
<a name="l00097"></a>00097 <span class="keywordflow">if</span> (info){ printf(<span class="stringliteral">"Out of memory\n"</span>); <span class="keywordflow">return</span> 1; }
<a name="l00098"></a>00098 <span class="keywordflow">if</span> (0==1){info=<a class="code" href="group__SDPData.html#ga479e45b5543849df14aa0d1c56e25753" title="Check the matrix operations on a data matrix;.">SDPConeCheckData</a>(sdpcone);}
<a name="l00099"></a>00099
<a name="l00100"></a>00100 info = <a class="code" href="group__DSDPBasic.html#gabf7f1440bad5dd2a609288912743c8e9" title="Apply DSDP to the problem.">DSDPSolve</a>(dsdp);
<a name="l00101"></a>00101 <span class="keywordflow">if</span> (info){ printf(<span class="stringliteral">"Numberical error\n"</span>); <span class="keywordflow">return</span> 1; }
<a name="l00102"></a>00102 info=<a class="code" href="group__DSDPBasic.html#gacd271769549030ce365597101946220b" title="Compute the X variables.">DSDPComputeX</a>(dsdp);DSDPCHKERR(info);
<a name="l00103"></a>00103
<a name="l00104"></a>00104 <span class="keywordflow">if</span> (0==1){ <span class="comment">/* Look at the solution */</span>
<a name="l00105"></a>00105 <span class="keywordtype">int</span> n; <span class="keywordtype">double</span> *xx;
<a name="l00106"></a>00106 info=<a class="code" href="group__SDPBasic.html#ga9e7744a5c7fbe87642979e2b41bc2c00" title="After applying the solver, set a pointer to the array in the object with the solution X...">SDPConeGetXArray</a>(sdpcone,0,&xx,&n);
<a name="l00107"></a>00107 }
<a name="l00108"></a>00108
<a name="l00109"></a>00109 info = <a class="code" href="group__DSDPBasic.html#ga3242b32d5e9c5e5358da5f79ae5d08dd" title="Free the internal data structures of the solver and the cones associated with it.">DSDPDestroy</a>(dsdp);
<a name="l00110"></a>00110 free(Edges);
<a name="l00111"></a>00111
<a name="l00112"></a>00112 <span class="keywordflow">return</span> 0;
<a name="l00113"></a>00113 } <span class="comment">/* main */</span>
<a name="l00114"></a>00114
<a name="l00126"></a><a class="code" href="group__Examples.html#ga057c11d585e54140dad8c497d57ffeba">00126</a> <span class="keywordtype">int</span> <a class="code" href="group__Examples.html#ga057c11d585e54140dad8c497d57ffeba" title="Given a graph, formulate Lovasz problem and set data.">SetThetaData</a>(<a class="code" href="structDSDP__C.html" title="Internal structures for the DSDP solver.">DSDP</a> dsdp, <a class="code" href="structSDPCone__C.html" title="Internal structure for semidefinite cone.">SDPCone</a> sdpcone, <span class="keywordtype">int</span> nodes, <span class="keywordtype">int</span> edges, EdgeMat Edge[]){
<a name="l00127"></a>00127
<a name="l00128"></a>00128 <span class="keywordtype">int</span> i,info;
<a name="l00129"></a>00129
<a name="l00130"></a>00130 <span class="comment">/* Create data matrices - these are all custom types */</span>
<a name="l00131"></a>00131
<a name="l00132"></a>00132 <span class="comment">/* The c matrix has all elements equal to 1.0 */</span>
<a name="l00133"></a>00133 info=OneMatOpsInitialize(&onematops);
<a name="l00134"></a>00134 info=<a class="code" href="group__SDPData.html#ga16144b39108a8daef0d993f14404d6ca" title="Add a data matrix .">SDPConeAddDataMatrix</a>(sdpcone,0,0,nodes,<span class="charliteral">'P'</span>,&onematops,0);
<a name="l00135"></a>00135
<a name="l00136"></a>00136 <span class="comment">/* For each edge connecting nodes i and j, X(i,j)=X(j,i)=0 */</span>
<a name="l00137"></a>00137 info=EdgeMatOperationsInitialize(&edgematop);
<a name="l00138"></a>00138 <span class="keywordflow">for</span> (i=0; i<edges; i++){
<a name="l00139"></a>00139 info = <a class="code" href="group__SDPData.html#ga16144b39108a8daef0d993f14404d6ca" title="Add a data matrix .">SDPConeAddDataMatrix</a>(sdpcone,0,i+1,nodes,<span class="charliteral">'P'</span>,&edgematop,(<span class="keywordtype">void</span>*)&Edge[i]);
<a name="l00140"></a>00140 info = <a class="code" href="group__DSDPBasic.html#ga7e1b78dc7d7407fcf84e05b9c42fc72c" title="Set the objective vector b in (D).">DSDPSetDualObjective</a>(dsdp,i+1,0.0);
<a name="l00141"></a>00141 info = <a class="code" href="group__DSDPSolution.html#gacf5a2bd7ecb03b319caa22e545ef8e01" title="Set the initial values of variables y in (D).">DSDPSetY0</a>(dsdp,i+1,0.0);
<a name="l00142"></a>00142 <span class="keywordflow">if</span> (info) <span class="keywordflow">return</span> info;
<a name="l00143"></a>00143 }
<a name="l00144"></a>00144
<a name="l00145"></a>00145 <span class="comment">/* The trace of X must equal 1.0 */</span>
<a name="l00146"></a>00146 info = IdentitymatOperationsInitialize(&identitymatops);
<a name="l00147"></a>00147 info = <a class="code" href="group__SDPData.html#ga16144b39108a8daef0d993f14404d6ca" title="Add a data matrix .">SDPConeAddDataMatrix</a>(sdpcone,0,edges+1,nodes,<span class="charliteral">'P'</span>,&identitymatops,0);
<a name="l00148"></a>00148 info = <a class="code" href="group__DSDPBasic.html#ga7e1b78dc7d7407fcf84e05b9c42fc72c" title="Set the objective vector b in (D).">DSDPSetDualObjective</a>(dsdp,edges+1,1.0);
<a name="l00149"></a>00149 info = <a class="code" href="group__DSDPSolution.html#gacf5a2bd7ecb03b319caa22e545ef8e01" title="Set the initial values of variables y in (D).">DSDPSetY0</a>(dsdp,edges+1,-10*nodes-1);
<a name="l00150"></a>00150
<a name="l00151"></a>00151 <span class="comment">/* The initial point y is feasible and near the central path */</span>
<a name="l00152"></a>00152 info = <a class="code" href="group__DSDPSolution.html#ga846e363115b1fba5622306efc2e0ba38" title="Set an initial value for the variable r in (DD)">DSDPSetR0</a>(dsdp,0);
<a name="l00153"></a>00153
<a name="l00154"></a>00154 <span class="keywordflow">return</span>(0);
<a name="l00155"></a>00155 }
<a name="l00156"></a>00156
<a name="l00157"></a>00157 <span class="preprocessor">#define BUFFERSIZ 100</span>
<a name="l00158"></a>00158 <span class="preprocessor"></span>
<a name="l00159"></a>00159 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00160"></a>00160 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "ParseGraphline"</span>
<a name="l00161"></a>00161 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> ParseGraphline(<span class="keywordtype">char</span> * thisline,<span class="keywordtype">int</span> *row,<span class="keywordtype">int</span> *col,<span class="keywordtype">double</span> *value,
<a name="l00162"></a>00162 <span class="keywordtype">int</span> *gotem){
<a name="l00163"></a>00163
<a name="l00164"></a>00164 <span class="keywordtype">int</span> temp;
<a name="l00165"></a>00165 <span class="keywordtype">int</span> rtmp,coltmp;
<a name="l00166"></a>00166
<a name="l00167"></a>00167 rtmp=-1, coltmp=-1, *value=0.0;
<a name="l00168"></a>00168 temp=sscanf(thisline,<span class="stringliteral">"%d %d %lf"</span>,&rtmp,&coltmp,value);
<a name="l00169"></a>00169 <span class="keywordflow">if</span> (temp==3 && rtmp>0 && coltmp>0) *gotem=3;
<a name="l00170"></a>00170 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (temp==2 && rtmp>0 && coltmp>0){ *value = 1.0; *gotem=3;}
<a name="l00171"></a>00171 <span class="keywordflow">else</span> *gotem=0;
<a name="l00172"></a>00172 *row=rtmp-1; *col=coltmp-1;
<a name="l00173"></a>00173 <span class="keywordflow">if</span> (*gotem && (*col < 0 || *row < 0)){
<a name="l00174"></a>00174 printf(<span class="stringliteral">"Node Number must be positive.\n, %s\n"</span>,thisline);
<a name="l00175"></a>00175 }
<a name="l00176"></a>00176 <span class="keywordflow">return</span>(0);
<a name="l00177"></a>00177 }
<a name="l00178"></a>00178
<a name="l00179"></a>00179 <span class="preprocessor">#undef __FUNCT__ </span>
<a name="l00180"></a>00180 <span class="preprocessor"></span><span class="preprocessor">#define __FUNCT__ "ReadGraphFromFile"</span>
<a name="l00181"></a>00181 <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">int</span> ReadGraphFromFile(<span class="keywordtype">char</span>* filename,<span class="keywordtype">int</span> *nnodes, <span class="keywordtype">int</span> *nedges, EdgeMat**EE){
<a name="l00182"></a>00182
<a name="l00183"></a>00183 FILE*fp;
<a name="l00184"></a>00184 <span class="keywordtype">char</span> thisline[BUFFERSIZ]=<span class="stringliteral">"*"</span>;
<a name="l00185"></a>00185 <span class="keywordtype">int</span> i,k=0,line=0,nodes,edges,gotone=3;
<a name="l00186"></a>00186 <span class="keywordtype">int</span> info,row,col;
<a name="l00187"></a>00187 <span class="keywordtype">double</span> value;
<a name="l00188"></a>00188 EdgeMat *E;
<a name="l00189"></a>00189
<a name="l00190"></a>00190 fp=fopen(filename,<span class="stringliteral">"r"</span>);
<a name="l00191"></a>00191 <span class="keywordflow">if</span> (!fp){ printf(<span class="stringliteral">"Cannot open file %s !"</span>,filename); <span class="keywordflow">return</span>(1); }
<a name="l00192"></a>00192
<a name="l00193"></a>00193 <span class="keywordflow">while</span>(!feof(fp) && (thisline[0] == <span class="charliteral">'*'</span> || thisline[0] == <span class="charliteral">'"'</span>) ){
<a name="l00194"></a>00194 fgets(thisline,BUFFERSIZ,fp); line++; }
<a name="l00195"></a>00195
<a name="l00196"></a>00196 <span class="keywordflow">if</span> (sscanf(thisline,<span class="stringliteral">"%d %d"</span>,&nodes, &edges)!=2){
<a name="l00197"></a>00197 printf(<span class="stringliteral">"First line must contain the number of nodes and number of edges\n"</span>);
<a name="l00198"></a>00198 <span class="keywordflow">return</span> 1;
<a name="l00199"></a>00199 }
<a name="l00200"></a>00200
<a name="l00201"></a>00201 E=(EdgeMat*)malloc(edges*<span class="keyword">sizeof</span>(EdgeMat)); *EE=E;
<a name="l00202"></a>00202 <span class="keywordflow">for</span> (i=0; i<edges; i++){ E[i].v1=0; E[i].v2=0; }
<a name="l00203"></a>00203
<a name="l00204"></a>00204 <span class="keywordflow">while</span>(!feof(fp) && gotone){
<a name="l00205"></a>00205 thisline[0]=<span class="charliteral">'\0'</span>;
<a name="l00206"></a>00206 fgets(thisline,BUFFERSIZ,fp); line++;
<a name="l00207"></a>00207 info = ParseGraphline(thisline,&row,&col,&value,&gotone);
<a name="l00208"></a>00208 <span class="keywordflow">if</span> (gotone && k<edges &&
<a name="l00209"></a>00209 col < nodes && row < nodes && col >= 0 && row >= 0){
<a name="l00210"></a>00210 <span class="keywordflow">if</span> (row > col){i=row;row=col;col=i;}
<a name="l00211"></a>00211 <span class="keywordflow">if</span> (row == col){}
<a name="l00212"></a>00212 <span class="keywordflow">else</span> { E[k].v1=row; E[k].v2=col; k++;}
<a name="l00213"></a>00213 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (gotone && k>=edges) {
<a name="l00214"></a>00214 printf(<span class="stringliteral">"To many edges in file.\nLine %d, %s\n"</span>,line,thisline);
<a name="l00215"></a>00215 <span class="keywordflow">return</span> 1;
<a name="l00216"></a>00216 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (gotone&&(col >= nodes || row >= nodes || col < 0 || row < 0)){
<a name="l00217"></a>00217 printf(<span class="stringliteral">"Invalid node number.\nLine %d, %s\n"</span>,line,thisline);
<a name="l00218"></a>00218 <span class="keywordflow">return</span> 1;
<a name="l00219"></a>00219 }
<a name="l00220"></a>00220 }
<a name="l00221"></a>00221
<a name="l00222"></a>00222 *nnodes=nodes; *nedges=k;
<a name="l00223"></a>00223
<a name="l00224"></a>00224 <span class="keywordflow">return</span> 0;
<a name="l00225"></a>00225 }
<a name="l00226"></a>00226
<a name="l00227"></a>00227
<a name="l00228"></a>00228 <span class="comment">/* SPecial Matrix where each edge represents a constraint matrix */</span>
<a name="l00229"></a>00229 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatDestroy(<span class="keywordtype">void</span>*);
<a name="l00230"></a>00230 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatView(<span class="keywordtype">void</span>*);
<a name="l00231"></a>00231 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatVecVec(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">double</span> *);
<a name="l00232"></a>00232 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatDot(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>, <span class="keywordtype">double</span> *);
<a name="l00233"></a>00233 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatGetRank(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>*, <span class="keywordtype">int</span>);
<a name="l00234"></a>00234 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatFactor(<span class="keywordtype">void</span>*);
<a name="l00235"></a>00235 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatGetEig(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">double</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>[], <span class="keywordtype">int</span>*);
<a name="l00236"></a>00236 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatAddRowMultiple(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">double</span>, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>);
<a name="l00237"></a>00237 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatAddMultiple(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>);
<a name="l00238"></a>00238 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatGetRowNnz(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">int</span>[], <span class="keywordtype">int</span>*, <span class="keywordtype">int</span>);
<a name="l00239"></a>00239
<a name="l00240"></a>00240 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatDestroy(<span class="keywordtype">void</span>* AA){
<a name="l00241"></a>00241 <span class="keywordflow">return</span> 0;
<a name="l00242"></a>00242 }
<a name="l00243"></a>00243 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatVecVec(<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="l00244"></a>00244 EdgeMat*E=(EdgeMat*)A;
<a name="l00245"></a>00245 *v=2*x[E->v1]*x[E->v2];
<a name="l00246"></a>00246 <span class="keywordflow">return</span> 0;
<a name="l00247"></a>00247 }
<a name="l00248"></a>00248 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatDot(<span class="keywordtype">void</span>* A, <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="l00249"></a>00249 EdgeMat*E=(EdgeMat*)A;
<a name="l00250"></a>00250 <span class="keywordtype">int</span> k=E->v2*(E->v2+1)/2 + E->v1;
<a name="l00251"></a>00251 *v=2*x[k];
<a name="l00252"></a>00252 <span class="keywordflow">return</span> 0;
<a name="l00253"></a>00253 }
<a name="l00254"></a>00254 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatView(<span class="keywordtype">void</span>* A){
<a name="l00255"></a>00255 EdgeMat*E=(EdgeMat*)A;
<a name="l00256"></a>00256 printf(<span class="stringliteral">" Row: %d, Column: %d\n"</span>,E->v1,E->v2);
<a name="l00257"></a>00257 printf(<span class="stringliteral">" Row: %d, Column: %d\n"</span>,E->v2,E->v1);
<a name="l00258"></a>00258 <span class="keywordflow">return</span> 0;
<a name="l00259"></a>00259 }
<a name="l00260"></a>00260 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatFactor(<span class="keywordtype">void</span>* A){
<a name="l00261"></a>00261 <span class="keywordflow">return</span> 0;
<a name="l00262"></a>00262 }
<a name="l00263"></a>00263 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatGetRank(<span class="keywordtype">void</span> *A, <span class="keywordtype">int</span>*rank, <span class="keywordtype">int</span> n){
<a name="l00264"></a>00264 *rank=2;
<a name="l00265"></a>00265 <span class="keywordflow">return</span> 0;
<a name="l00266"></a>00266 }
<a name="l00267"></a>00267 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatGetEig(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> neig, <span class="keywordtype">double</span> *eig, <span class="keywordtype">double</span> v[], <span class="keywordtype">int</span> n,<span class="keywordtype">int</span> spind[], <span class="keywordtype">int</span> *nind){
<a name="l00268"></a>00268 EdgeMat*E=(EdgeMat*)A;
<a name="l00269"></a>00269 <span class="keywordtype">double</span> tt=1.0/sqrt(2.0);
<a name="l00270"></a>00270 memset((<span class="keywordtype">void</span>*)v,0,(n)*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00271"></a>00271 memset((<span class="keywordtype">void</span>*)spind,0,(n)*<span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));
<a name="l00272"></a>00272 <span class="keywordflow">if</span> (neig==0){
<a name="l00273"></a>00273 v[E->v1]=tt;v[E->v2]=tt;*eig=1;
<a name="l00274"></a>00274 spind[0]=E->v1;spind[1]=E->v2; *nind=2;
<a name="l00275"></a>00275 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (neig==1){
<a name="l00276"></a>00276 v[E->v1]=-tt;v[E->v2]=tt;*eig=-1;
<a name="l00277"></a>00277 spind[0]=E->v1;spind[1]=E->v2; *nind=2;
<a name="l00278"></a>00278 } <span class="keywordflow">else</span> { *eig=0;*nind=0;}
<a name="l00279"></a>00279 <span class="keywordflow">return</span> 0;
<a name="l00280"></a>00280 }
<a name="l00281"></a>00281 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatGetRowNnz(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> nrow, <span class="keywordtype">int</span> nz[], <span class="keywordtype">int</span> *nnzz, <span class="keywordtype">int</span> n){
<a name="l00282"></a>00282 EdgeMat*E=(EdgeMat*)A;
<a name="l00283"></a>00283 <span class="keywordflow">if</span> (nrow==E->v1){ nz[E->v2]++; *nnzz=1;}
<a name="l00284"></a>00284 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (nrow==E->v2){nz[E->v1]++; *nnzz=1;}
<a name="l00285"></a>00285 <span class="keywordflow">else</span> {*nnzz=0;}
<a name="l00286"></a>00286 <span class="keywordflow">return</span> 0;
<a name="l00287"></a>00287 }
<a name="l00288"></a>00288 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatAddRowMultiple(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> nrow, <span class="keywordtype">double</span> dd, <span class="keywordtype">double</span> rrow[], <span class="keywordtype">int</span> n){
<a name="l00289"></a>00289 EdgeMat*E=(EdgeMat*)A;
<a name="l00290"></a>00290 <span class="keywordflow">if</span> (nrow==E->v1){ rrow[E->v2]+=dd;}
<a name="l00291"></a>00291 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (nrow==E->v2){rrow[E->v1]+=dd;}
<a name="l00292"></a>00292 <span class="keywordflow">return</span> 0;
<a name="l00293"></a>00293 }
<a name="l00294"></a>00294 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatAddMultiple(<span class="keywordtype">void</span>*A, <span class="keywordtype">double</span> dd, <span class="keywordtype">double</span> vv[], <span class="keywordtype">int</span> nn, <span class="keywordtype">int</span> n){
<a name="l00295"></a>00295 EdgeMat*E=(EdgeMat*)A;
<a name="l00296"></a>00296 <span class="keywordtype">int</span> k=E->v2*(E->v2+1)/2 + E->v1;
<a name="l00297"></a>00297 vv[k]+=dd;
<a name="l00298"></a>00298 <span class="keywordflow">return</span> 0;
<a name="l00299"></a>00299 }
<a name="l00300"></a>00300 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatFNorm(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *fnorm){
<a name="l00301"></a>00301 *fnorm=2.0;
<a name="l00302"></a>00302 <span class="keywordflow">return</span> 0;
<a name="l00303"></a>00303 }
<a name="l00304"></a>00304 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatCountNonzeros(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> *nnz, <span class="keywordtype">int</span> n){
<a name="l00305"></a>00305 *nnz=1;
<a name="l00306"></a>00306 <span class="keywordflow">return</span> 0;
<a name="l00307"></a>00307 }
<a name="l00308"></a>00308 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *datamatname=<span class="stringliteral">"THETA EDGE MATRIX"</span>;
<a name="l00309"></a>00309 <span class="keyword">static</span> <span class="keywordtype">int</span> EdgeMatOperationsInitialize(<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>* edgematoperator){
<a name="l00310"></a>00310 <span class="keywordtype">int</span> info;
<a name="l00311"></a>00311 <span class="keywordflow">if</span> (edgematoperator==NULL) <span class="keywordflow">return</span> 0;
<a name="l00312"></a>00312 info=<a class="code" href="dsdpdatamat_8c.html#a5d7a246134aa5186463e0f1f0fd561bd" title="Initialize the table of function pointers for SDP Data matrices.">DSDPDataMatOpsInitialize</a>(edgematoperator); <span class="keywordflow">if</span> (info){ <span class="keywordflow">return</span> info;}
<a name="l00313"></a>00313 edgematoperator->matfactor1=EdgeMatFactor;
<a name="l00314"></a>00314 edgematoperator->matgetrank=EdgeMatGetRank;
<a name="l00315"></a>00315 edgematoperator->matgeteig=EdgeMatGetEig;
<a name="l00316"></a>00316 edgematoperator->matvecvec=EdgeMatVecVec;
<a name="l00317"></a>00317 edgematoperator->matrownz=EdgeMatGetRowNnz;
<a name="l00318"></a>00318 edgematoperator->matdot=EdgeMatDot;
<a name="l00319"></a>00319 edgematoperator->matfnorm2=EdgeMatFNorm;
<a name="l00320"></a>00320 edgematoperator->matnnz=EdgeMatCountNonzeros;
<a name="l00321"></a>00321 edgematoperator->mataddrowmultiple=EdgeMatAddRowMultiple;
<a name="l00322"></a>00322 edgematoperator->mataddallmultiple=EdgeMatAddMultiple;
<a name="l00323"></a>00323 edgematoperator->matdestroy=EdgeMatDestroy;
<a name="l00324"></a>00324 edgematoperator->matview=EdgeMatView;
<a name="l00325"></a>00325 edgematoperator->matname=datamatname;
<a name="l00326"></a>00326 edgematoperator->id=25;
<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 <span class="comment">/* SPecial Matrix where all elements equal negative one */</span>
<a name="l00331"></a>00331 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatDestroy(<span class="keywordtype">void</span>*);
<a name="l00332"></a>00332 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatView(<span class="keywordtype">void</span>*);
<a name="l00333"></a>00333 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatVecVec(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">double</span> *);
<a name="l00334"></a>00334 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatDot(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>, <span class="keywordtype">double</span> *);
<a name="l00335"></a>00335 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatGetRank(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>*, <span class="keywordtype">int</span>);
<a name="l00336"></a>00336 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatFactor(<span class="keywordtype">void</span>*);
<a name="l00337"></a>00337 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatGetEig(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">double</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>[], <span class="keywordtype">int</span>*);
<a name="l00338"></a>00338 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatRowNnz(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">int</span>[], <span class="keywordtype">int</span>*, <span class="keywordtype">int</span>);
<a name="l00339"></a>00339 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatAddRowMultiple(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">double</span>, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>);
<a name="l00340"></a>00340 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatAddMultiple(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>,<span class="keywordtype">int</span>);
<a name="l00341"></a>00341
<a name="l00342"></a>00342
<a name="l00343"></a>00343 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatFactor(<span class="keywordtype">void</span>*A){<span class="keywordflow">return</span> 0;}
<a name="l00344"></a>00344 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatGetRank(<span class="keywordtype">void</span> *A, <span class="keywordtype">int</span> *rank, <span class="keywordtype">int</span> n){*rank=1;<span class="keywordflow">return</span> 0;}
<a name="l00345"></a>00345 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatFNorm2(<span class="keywordtype">void</span>*AA, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *fnorm2){*fnorm2=1.0*n*n;<span class="keywordflow">return</span> 0;}
<a name="l00346"></a>00346 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatCountNonzeros(<span class="keywordtype">void</span>*AA, <span class="keywordtype">int</span> *nnz, <span class="keywordtype">int</span> n){*nnz=n*n;<span class="keywordflow">return</span> 0;}
<a name="l00347"></a>00347 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatDot(<span class="keywordtype">void</span>* A, <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="l00348"></a>00348 <span class="keywordtype">double</span> dtmp=0.0;
<a name="l00349"></a>00349 <span class="keywordtype">int</span> i,j;
<a name="l00350"></a>00350 <span class="keywordflow">for</span> (i=0;i<n;i++){
<a name="l00351"></a>00351 <span class="keywordflow">for</span> (j=0;j<i;j++,x++){dtmp+= (*x);}
<a name="l00352"></a>00352 dtmp+= (*x);x++;
<a name="l00353"></a>00353 }
<a name="l00354"></a>00354 *v=-2*dtmp;
<a name="l00355"></a>00355 <span class="keywordflow">return</span> 0;
<a name="l00356"></a>00356 }
<a name="l00357"></a>00357 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatVecVec(<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="l00358"></a>00358 <span class="keywordtype">double</span> dtmp=0.0;
<a name="l00359"></a>00359 <span class="keywordtype">int</span> i;
<a name="l00360"></a>00360 <span class="keywordflow">for</span> (i=0; i<n; i++){dtmp+=x[i];}
<a name="l00361"></a>00361 *v=-dtmp*dtmp;
<a name="l00362"></a>00362 <span class="keywordflow">return</span> 0;
<a name="l00363"></a>00363 }
<a name="l00364"></a>00364 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatAddMultiple(<span class="keywordtype">void</span>*A, <span class="keywordtype">double</span> ddd, <span class="keywordtype">double</span> vv[], <span class="keywordtype">int</span> nn, <span class="keywordtype">int</span> n){
<a name="l00365"></a>00365 <span class="keywordtype">int</span> i,j;
<a name="l00366"></a>00366 <span class="keywordflow">for</span> (i=0;i<n;i++){
<a name="l00367"></a>00367 <span class="keywordflow">for</span> (j=0;j<i;j++,vv++){(*vv)+=-ddd;}
<a name="l00368"></a>00368 (*vv)+=-ddd; vv++;
<a name="l00369"></a>00369 }
<a name="l00370"></a>00370 <span class="keywordflow">return</span> 0;
<a name="l00371"></a>00371 }
<a name="l00372"></a>00372 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatAddRowMultiple(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> nrow, <span class="keywordtype">double</span> ddd, <span class="keywordtype">double</span> row[], <span class="keywordtype">int</span> n){
<a name="l00373"></a>00373 <span class="keywordtype">int</span> i;
<a name="l00374"></a>00374 <span class="keywordflow">for</span> (i=0;i<n;i++){row[i] -= ddd;}
<a name="l00375"></a>00375 row[nrow] -= ddd;
<a name="l00376"></a>00376 <span class="keywordflow">return</span> 0;
<a name="l00377"></a>00377 }
<a name="l00378"></a>00378 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatGetEig(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> neig, <span class="keywordtype">double</span> *eig, <span class="keywordtype">double</span> v[], <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> spind[], <span class="keywordtype">int</span> *nind){
<a name="l00379"></a>00379 <span class="keywordtype">int</span> i;
<a name="l00380"></a>00380 <span class="keywordflow">if</span> (neig==0){ *eig=-1; <span class="keywordflow">for</span> (i=0;i<n;i++){ v[i]=1.0; spind[i]=i;} *nind=n;
<a name="l00381"></a>00381 } <span class="keywordflow">else</span> { *eig=0; <span class="keywordflow">for</span> (i=0;i<n;i++){ v[i]=0.0; } *nind=0;
<a name="l00382"></a>00382 }
<a name="l00383"></a>00383 <span class="keywordflow">return</span> 0;
<a name="l00384"></a>00384 }
<a name="l00385"></a>00385 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatRowNnz(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> row, <span class="keywordtype">int</span> nz[], <span class="keywordtype">int</span> *nnz, <span class="keywordtype">int</span> n){
<a name="l00386"></a>00386 <span class="keywordtype">int</span> i;
<a name="l00387"></a>00387 <span class="keywordflow">for</span> (i=0;i<n;i++){ nz[i]++; }
<a name="l00388"></a>00388 *nnz=n;
<a name="l00389"></a>00389 <span class="keywordflow">return</span> 0;
<a name="l00390"></a>00390 }
<a name="l00391"></a>00391 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatView(<span class="keywordtype">void</span>* AA){
<a name="l00392"></a>00392 printf(<span class="stringliteral">"Every element of the matrix is the same: -1\n"</span>);
<a name="l00393"></a>00393 <span class="keywordflow">return</span> 0;
<a name="l00394"></a>00394 }
<a name="l00395"></a>00395 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatDestroy(<span class="keywordtype">void</span>* A){<span class="keywordflow">return</span> 0;}
<a name="l00396"></a>00396
<a name="l00397"></a>00397 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *mat1name=<span class="stringliteral">"THETA ALL ELEMENTS EQUAL -ONE"</span>;
<a name="l00398"></a>00398 <span class="keyword">static</span> <span class="keywordtype">int</span> OneMatOpsInitialize(<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>* mat1ops){
<a name="l00399"></a>00399 <span class="keywordtype">int</span> info;
<a name="l00400"></a>00400 <span class="keywordflow">if</span> (mat1ops==NULL) <span class="keywordflow">return</span> 0;
<a name="l00401"></a>00401 info=<a class="code" href="dsdpdatamat_8c.html#a5d7a246134aa5186463e0f1f0fd561bd" title="Initialize the table of function pointers for SDP Data matrices.">DSDPDataMatOpsInitialize</a>(mat1ops); DSDPCHKERR(info);
<a name="l00402"></a>00402 mat1ops->matfactor1=OneMatFactor;
<a name="l00403"></a>00403 mat1ops->matgetrank=OneMatGetRank;
<a name="l00404"></a>00404 mat1ops->matgeteig=OneMatGetEig;
<a name="l00405"></a>00405 mat1ops->matvecvec=OneMatVecVec;
<a name="l00406"></a>00406 mat1ops->matdot=OneMatDot;
<a name="l00407"></a>00407 mat1ops->mataddrowmultiple=OneMatAddRowMultiple;
<a name="l00408"></a>00408 mat1ops->mataddallmultiple=OneMatAddMultiple;
<a name="l00409"></a>00409 mat1ops->matdestroy=OneMatDestroy;
<a name="l00410"></a>00410 mat1ops->matview=OneMatView;
<a name="l00411"></a>00411 mat1ops->matrownz=OneMatRowNnz;
<a name="l00412"></a>00412 mat1ops->matfnorm2=OneMatFNorm2;
<a name="l00413"></a>00413 mat1ops->matnnz=OneMatCountNonzeros;
<a name="l00414"></a>00414 mat1ops->id=18;
<a name="l00415"></a>00415 mat1ops->matname=mat1name;
<a name="l00416"></a>00416 <span class="keywordflow">return</span> 0;
<a name="l00417"></a>00417 }
<a name="l00418"></a>00418
<a name="l00419"></a>00419 <span class="comment">/* Special Matrix for the Identity */</span>
<a name="l00420"></a>00420 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatDestroy(<span class="keywordtype">void</span>*);
<a name="l00421"></a>00421 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatView(<span class="keywordtype">void</span>*);
<a name="l00422"></a>00422 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatVecVec(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">double</span> *);
<a name="l00423"></a>00423 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatDot(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>, <span class="keywordtype">double</span> *);
<a name="l00424"></a>00424 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatGetRank(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>*,<span class="keywordtype">int</span>);
<a name="l00425"></a>00425 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatFactor(<span class="keywordtype">void</span>*);
<a name="l00426"></a>00426 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatGetEig(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">double</span>*, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>[], <span class="keywordtype">int</span>*);
<a name="l00427"></a>00427 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatAddRowMultiple(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">double</span>, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>);
<a name="l00428"></a>00428 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatAddMultiple(<span class="keywordtype">void</span>*, <span class="keywordtype">double</span>, <span class="keywordtype">double</span>[], <span class="keywordtype">int</span>, <span class="keywordtype">int</span>);
<a name="l00429"></a>00429 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatGetRowNnz(<span class="keywordtype">void</span>*, <span class="keywordtype">int</span>, <span class="keywordtype">int</span>[], <span class="keywordtype">int</span>*, <span class="keywordtype">int</span>);
<a name="l00430"></a>00430
<a name="l00431"></a>00431 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatDestroy(<span class="keywordtype">void</span>* AA){<span class="keywordflow">return</span> 0;}
<a name="l00432"></a>00432 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatFNorm2(<span class="keywordtype">void</span>* AA, <span class="keywordtype">int</span> n, <span class="keywordtype">double</span> *v){*v=1.0*n;<span class="keywordflow">return</span> 0;}
<a name="l00433"></a>00433 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatGetRank(<span class="keywordtype">void</span> *AA, <span class="keywordtype">int</span>*rank, <span class="keywordtype">int</span> n){*rank=n;<span class="keywordflow">return</span> 0;}
<a name="l00434"></a>00434 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatFactor(<span class="keywordtype">void</span>*A){<span class="keywordflow">return</span> 0;}
<a name="l00435"></a>00435 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatCountNonzeros(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> *nnz, <span class="keywordtype">int</span> n){*nnz=n;<span class="keywordflow">return</span> 0;}
<a name="l00436"></a>00436 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatVecVec(<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="l00437"></a>00437 <span class="keywordtype">int</span> i;
<a name="l00438"></a>00438 *v=0;
<a name="l00439"></a>00439 <span class="keywordflow">for</span> (i=0;i<n;i++){ *v+=x[i]*x[i]; }
<a name="l00440"></a>00440 <span class="keywordflow">return</span> 0;
<a name="l00441"></a>00441 }
<a name="l00442"></a>00442 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatDot(<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="l00443"></a>00443 <span class="keywordtype">int</span> i;
<a name="l00444"></a>00444 <span class="keywordtype">double</span> vv=0;
<a name="l00445"></a>00445 <span class="keywordflow">for</span> (i=0;i<n;i++){ vv+=x[((i+1)*(i+2))/2-1];}
<a name="l00446"></a>00446 *v = 2*vv;
<a name="l00447"></a>00447 <span class="keywordflow">return</span> 0;
<a name="l00448"></a>00448 }
<a name="l00449"></a>00449 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatView(<span class="keywordtype">void</span>* AA){
<a name="l00450"></a>00450 printf(<span class="stringliteral">"Identity matrix: All Diagonal elements equal 1.0\n"</span>);
<a name="l00451"></a>00451 <span class="keywordflow">return</span> 0;
<a name="l00452"></a>00452 }
<a name="l00453"></a>00453 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatGetEig(<span class="keywordtype">void</span>*AA, <span class="keywordtype">int</span> neig, <span class="keywordtype">double</span> *eig, <span class="keywordtype">double</span> v[], <span class="keywordtype">int</span> n, <span class="keywordtype">int</span> spind[], <span class="keywordtype">int</span> *nind){
<a name="l00454"></a>00454 <span class="keywordflow">if</span> (neig<0 || neig>=n){ *eig=0; <span class="keywordflow">return</span> 0;}
<a name="l00455"></a>00455 memset((<span class="keywordtype">void</span>*)v,0,(n)*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00456"></a>00456 *eig=1.0; v[neig]=1.0; spind[0]=neig; *nind=1;
<a name="l00457"></a>00457 <span class="keywordflow">return</span> 0;
<a name="l00458"></a>00458 }
<a name="l00459"></a>00459 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatGetRowNnz(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> nrow, <span class="keywordtype">int</span> nz[], <span class="keywordtype">int</span> *nnzz, <span class="keywordtype">int</span> n){
<a name="l00460"></a>00460 <span class="keywordflow">if</span> (nrow>=0 && nrow < n){
<a name="l00461"></a>00461 *nnzz=1; nz[nrow]++;
<a name="l00462"></a>00462 } <span class="keywordflow">else</span> { *nnzz=0;
<a name="l00463"></a>00463 }
<a name="l00464"></a>00464 <span class="keywordflow">return</span> 0;
<a name="l00465"></a>00465 }
<a name="l00466"></a>00466 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatAddRowMultiple(<span class="keywordtype">void</span>*A, <span class="keywordtype">int</span> nrow, <span class="keywordtype">double</span> dd, <span class="keywordtype">double</span> rrow[], <span class="keywordtype">int</span> n){
<a name="l00467"></a>00467 rrow[nrow] += dd;<span class="keywordflow">return</span> 0;
<a name="l00468"></a>00468 }
<a name="l00469"></a>00469 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentityMatAddMultiple(<span class="keywordtype">void</span>*A, <span class="keywordtype">double</span> dd, <span class="keywordtype">double</span> vv[], <span class="keywordtype">int</span> nn, <span class="keywordtype">int</span> n){
<a name="l00470"></a>00470 <span class="keywordtype">int</span> i;
<a name="l00471"></a>00471 <span class="keywordflow">for</span> (i=0;i<n;i++){ vv[(i+1)*(i+2)/2-1] += dd;}
<a name="l00472"></a>00472 <span class="keywordflow">return</span> 0;
<a name="l00473"></a>00473 }
<a name="l00474"></a>00474
<a name="l00475"></a>00475 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *eyematname=<span class="stringliteral">"THETA IDENTITY MATRIX"</span>;
<a name="l00476"></a>00476 <span class="keyword">static</span> <span class="keywordtype">int</span> IdentitymatOperationsInitialize(<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>* imatops){
<a name="l00477"></a>00477 <span class="keywordtype">int</span> info;
<a name="l00478"></a>00478 <span class="keywordflow">if</span> (imatops==NULL) <span class="keywordflow">return</span> 0;
<a name="l00479"></a>00479 info=<a class="code" href="dsdpdatamat_8c.html#a5d7a246134aa5186463e0f1f0fd561bd" title="Initialize the table of function pointers for SDP Data matrices.">DSDPDataMatOpsInitialize</a>(imatops); <span class="keywordflow">if</span> (info){<span class="keywordflow">return</span> info;}
<a name="l00480"></a>00480 imatops->matfactor1=IdentityMatFactor;
<a name="l00481"></a>00481 imatops->matgetrank=IdentityMatGetRank;
<a name="l00482"></a>00482 imatops->matgeteig=IdentityMatGetEig;
<a name="l00483"></a>00483 imatops->matvecvec=IdentityMatVecVec;
<a name="l00484"></a>00484 imatops->matrownz=IdentityMatGetRowNnz;
<a name="l00485"></a>00485 imatops->matdot=IdentityMatDot;
<a name="l00486"></a>00486 imatops->matfnorm2=IdentityMatFNorm2;
<a name="l00487"></a>00487 imatops->matnnz=IdentityMatCountNonzeros;
<a name="l00488"></a>00488 imatops->mataddrowmultiple=IdentityMatAddRowMultiple;
<a name="l00489"></a>00489 imatops->mataddallmultiple=IdentityMatAddMultiple;
<a name="l00490"></a>00490 imatops->matdestroy=IdentityMatDestroy;
<a name="l00491"></a>00491 imatops->matview=IdentityMatView;
<a name="l00492"></a>00492 imatops->id=12;
<a name="l00493"></a>00493 imatops->matname=eyematname;
<a name="l00494"></a>00494 <span class="keywordflow">return</span> 0;
<a name="l00495"></a>00495 }
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