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<div class="title">sdpmatx.c</div> </div>
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<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="preprocessor">#include "numchol.h"</span>
<a name="l00002"></a>00002 <span class="keywordtype">void</span> dCopy(<span class="keywordtype">int</span>,<span class="keywordtype">double</span>*,<span class="keywordtype">double</span>*);
<a name="l00003"></a>00003
<a name="l00004"></a>00004 <span class="keyword">static</span> <span class="keywordtype">void</span> SolFwdSnode(chfac *sf,
<a name="l00005"></a>00005 <span class="keywordtype">int</span> snde,
<a name="l00006"></a>00006 <span class="keywordtype">int</span> f,
<a name="l00007"></a>00007 <span class="keywordtype">int</span> l,
<a name="l00008"></a>00008 <span class="keywordtype">double</span> x[])
<a name="l00009"></a>00009 {
<a name="l00010"></a>00010 <span class="keywordtype">int</span> i,t,sze,*ls,*subg=sf->subg,
<a name="l00011"></a>00011 *ujbeg=sf->ujbeg,*uhead=sf->uhead,
<a name="l00012"></a>00012 *usub=sf->usub;
<a name="l00013"></a>00013 <span class="keywordtype">double</span> xi,*l1,*diag=sf->diag,*uval=sf->uval;
<a name="l00014"></a>00014
<a name="l00015"></a>00015 f += subg[snde];
<a name="l00016"></a>00016 l += subg[snde];
<a name="l00017"></a>00017
<a name="l00018"></a>00018 <span class="keywordflow">for</span>(i=f; i<l; ++i)
<a name="l00019"></a>00019 {
<a name="l00020"></a>00020 x[i] /= diag[i];
<a name="l00021"></a>00021 xi = x[i];
<a name="l00022"></a>00022
<a name="l00023"></a>00023 ls = usub+ujbeg[i];
<a name="l00024"></a>00024 l1 = uval+uhead[i];
<a name="l00025"></a>00025 sze = l-i-1;
<a name="l00026"></a>00026
<a name="l00027"></a>00027 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00028"></a>00028 x[ls[t]] -= l1[t]*xi;
<a name="l00029"></a>00029 }
<a name="l00030"></a>00030 } <span class="comment">/* SolFwdSnode */</span>
<a name="l00031"></a>00031
<a name="l00032"></a>00032 <span class="keyword">static</span> <span class="keywordtype">void</span> SolBward(<span class="keywordtype">int</span> nrow,
<a name="l00033"></a>00033 <span class="keywordtype">double</span> diag[],
<a name="l00034"></a>00034 <span class="keywordtype">double</span> uval[],
<a name="l00035"></a>00035 <span class="keywordtype">int</span> fir[],
<a name="l00036"></a>00036 <span class="keywordtype">double</span> x[])
<a name="l00037"></a>00037 {
<a name="l00038"></a>00038 <span class="keywordtype">int</span> i,t,sze;
<a name="l00039"></a>00039 <span class="keywordtype">double</span> x1,x2,rtemp,
<a name="l00040"></a>00040 *x0,*l1,*l2;
<a name="l00041"></a>00041
<a name="l00042"></a>00042 <span class="keywordflow">for</span>(i=nrow; i;) {
<a name="l00043"></a>00043 <span class="keywordflow">for</span>(; i>1; --i) {
<a name="l00044"></a>00044 -- i;
<a name="l00045"></a>00045 l1 = uval+fir[i-1]+1;
<a name="l00046"></a>00046 l2 = uval+fir[i ]+0;
<a name="l00047"></a>00047 sze = nrow-i-1;
<a name="l00048"></a>00048 x1 = 0.0;
<a name="l00049"></a>00049 x2 = 0.0;
<a name="l00050"></a>00050 x0 = x+1+i;
<a name="l00051"></a>00051
<a name="l00052"></a>00052 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00053"></a>00053 {
<a name="l00054"></a>00054 rtemp = x0[t];
<a name="l00055"></a>00055
<a name="l00056"></a>00056 x1 += l1[t]*rtemp;
<a name="l00057"></a>00057 x2 += l2[t]*rtemp;
<a name="l00058"></a>00058 }
<a name="l00059"></a>00059
<a name="l00060"></a>00060 x[i] -= x2/diag[i];
<a name="l00061"></a>00061 x[i-1] -= (uval[fir[i-1]]*x[i]+x1)/diag[i-1];
<a name="l00062"></a>00062 }
<a name="l00063"></a>00063
<a name="l00064"></a>00064 <span class="keywordflow">for</span>(; i;) {
<a name="l00065"></a>00065 -- i;
<a name="l00066"></a>00066 l1 = uval+fir[i];
<a name="l00067"></a>00067 sze = nrow-i-1;
<a name="l00068"></a>00068 x1 = 0.0;
<a name="l00069"></a>00069 x0 = x+1+i;
<a name="l00070"></a>00070
<a name="l00071"></a>00071 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00072"></a>00072 x1 += l1[t]*x0[t];
<a name="l00073"></a>00073
<a name="l00074"></a>00074 x[i] -= x1/diag[i];
<a name="l00075"></a>00075 }
<a name="l00076"></a>00076 }
<a name="l00077"></a>00077 } <span class="comment">/* SolBward */</span>
<a name="l00078"></a>00078
<a name="l00079"></a>00079 <span class="keywordtype">void</span> ChlSolveForwardPrivate(chfac *sf,
<a name="l00080"></a>00080 <span class="keywordtype">double</span> x[])
<a name="l00081"></a>00081 {
<a name="l00082"></a>00082 <span class="keywordtype">int</span> k,s,t,sze,f,l,itemp,*ls,
<a name="l00083"></a>00083 *subg=sf->subg,*ujsze=sf->ujsze,*usub=sf->usub,
<a name="l00084"></a>00084 *ujbeg=sf->ujbeg,*uhead=sf->uhead;
<a name="l00085"></a>00085 <span class="keywordtype">double</span> rtemp1,rtemp2,rtemp3,rtemp4,
<a name="l00086"></a>00086 rtemp5,rtemp6,rtemp7,rtemp8,
<a name="l00087"></a>00087 *l1,*l3,*l2,*l4,*l5,*l6,*l7,*l8,
<a name="l00088"></a>00088 *uval=sf->uval;
<a name="l00089"></a>00089
<a name="l00090"></a>00090 <span class="keywordflow">for</span>(s=0; s<sf->nsnds; ++s) {
<a name="l00091"></a>00091 f = subg[s];
<a name="l00092"></a>00092 l = subg[s+1];
<a name="l00093"></a>00093
<a name="l00094"></a>00094 SolFwdSnode(sf,s,0,l-f,x);
<a name="l00095"></a>00095
<a name="l00096"></a>00096 itemp = l-f-1;
<a name="l00097"></a>00097 ls = usub+ujbeg[f]+itemp;
<a name="l00098"></a>00098 sze = ujsze[f]-itemp;
<a name="l00099"></a>00099 k = f;
<a name="l00100"></a>00100
<a name="l00101"></a>00101 itemp = l-1;
<a name="l00102"></a>00102 <span class="keywordflow">for</span>(; k+7<l; k+=8) {
<a name="l00103"></a>00103 l1 = uval+uhead[k+0]+itemp-(k+0);
<a name="l00104"></a>00104 l2 = uval+uhead[k+1]+itemp-(k+1);
<a name="l00105"></a>00105 l3 = uval+uhead[k+2]+itemp-(k+2);
<a name="l00106"></a>00106 l4 = uval+uhead[k+3]+itemp-(k+3);
<a name="l00107"></a>00107 l5 = uval+uhead[k+4]+itemp-(k+4);
<a name="l00108"></a>00108 l6 = uval+uhead[k+5]+itemp-(k+5);
<a name="l00109"></a>00109 l7 = uval+uhead[k+6]+itemp-(k+6);
<a name="l00110"></a>00110 l8 = uval+uhead[k+7]+itemp-(k+7);
<a name="l00111"></a>00111
<a name="l00112"></a>00112 rtemp1 = x[k+0];
<a name="l00113"></a>00113 rtemp2 = x[k+1];
<a name="l00114"></a>00114 rtemp3 = x[k+2];
<a name="l00115"></a>00115 rtemp4 = x[k+3];
<a name="l00116"></a>00116 rtemp5 = x[k+4];
<a name="l00117"></a>00117 rtemp6 = x[k+5];
<a name="l00118"></a>00118 rtemp7 = x[k+6];
<a name="l00119"></a>00119 rtemp8 = x[k+7];
<a name="l00120"></a>00120
<a name="l00121"></a>00121 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00122"></a>00122 x[ls[t]] -= rtemp1*l1[t]
<a name="l00123"></a>00123 + rtemp2*l2[t]
<a name="l00124"></a>00124 + rtemp3*l3[t]
<a name="l00125"></a>00125 + rtemp4*l4[t]
<a name="l00126"></a>00126 + rtemp5*l5[t]
<a name="l00127"></a>00127 + rtemp6*l6[t]
<a name="l00128"></a>00128 + rtemp7*l7[t]
<a name="l00129"></a>00129 + rtemp8*l8[t];
<a name="l00130"></a>00130 }
<a name="l00131"></a>00131
<a name="l00132"></a>00132 <span class="keywordflow">for</span>(; k+3<l; k+=4) {
<a name="l00133"></a>00133 l1 = uval+uhead[k+0]+itemp-(k+0);
<a name="l00134"></a>00134 l2 = uval+uhead[k+1]+itemp-(k+1);
<a name="l00135"></a>00135 l3 = uval+uhead[k+2]+itemp-(k+2);
<a name="l00136"></a>00136 l4 = uval+uhead[k+3]+itemp-(k+3);
<a name="l00137"></a>00137
<a name="l00138"></a>00138 rtemp1 = x[k+0];
<a name="l00139"></a>00139 rtemp2 = x[k+1];
<a name="l00140"></a>00140 rtemp3 = x[k+2];
<a name="l00141"></a>00141 rtemp4 = x[k+3];
<a name="l00142"></a>00142
<a name="l00143"></a>00143 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00144"></a>00144 x[ls[t]] -= rtemp1*l1[t]
<a name="l00145"></a>00145 + rtemp2*l2[t]
<a name="l00146"></a>00146 + rtemp3*l3[t]
<a name="l00147"></a>00147 + rtemp4*l4[t];
<a name="l00148"></a>00148 }
<a name="l00149"></a>00149
<a name="l00150"></a>00150 <span class="keywordflow">for</span>(; k+1<l; k+=2) {
<a name="l00151"></a>00151 l1 = uval+uhead[k+0]+itemp-(k+0);
<a name="l00152"></a>00152 l2 = uval+uhead[k+1]+itemp-(k+1);
<a name="l00153"></a>00153
<a name="l00154"></a>00154 rtemp1 = x[k+0];
<a name="l00155"></a>00155 rtemp2 = x[k+1];
<a name="l00156"></a>00156
<a name="l00157"></a>00157 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00158"></a>00158 x[ls[t]] -= rtemp1*l1[t]
<a name="l00159"></a>00159 + rtemp2*l2[t];
<a name="l00160"></a>00160 }
<a name="l00161"></a>00161
<a name="l00162"></a>00162
<a name="l00163"></a>00163 <span class="keywordflow">for</span>(; k<l; ++k) {
<a name="l00164"></a>00164 l1 = uval+uhead[k+0]+itemp-(k+0);
<a name="l00165"></a>00165
<a name="l00166"></a>00166 rtemp1 = x[k+0];
<a name="l00167"></a>00167
<a name="l00168"></a>00168 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00169"></a>00169 x[ls[t]] -= rtemp1*l1[t];
<a name="l00170"></a>00170 }
<a name="l00171"></a>00171 }
<a name="l00172"></a>00172
<a name="l00173"></a>00173 }
<a name="l00174"></a>00174
<a name="l00175"></a>00175 <span class="keywordtype">void</span> ChlSolveBackwardPrivate(chfac *sf,
<a name="l00176"></a>00176 <span class="keywordtype">double</span> x[],
<a name="l00177"></a>00177 <span class="keywordtype">double</span> b[])
<a name="l00178"></a>00178 {
<a name="l00179"></a>00179 <span class="comment">/* Note: x: input, or left hand side b: output, or solution */</span>
<a name="l00180"></a>00180
<a name="l00181"></a>00181 <span class="keywordtype">int</span> i,s,t,sze,f,l,*ls,
<a name="l00182"></a>00182 *subg=sf->subg,*ujsze=sf->ujsze,*usub=sf->usub,
<a name="l00183"></a>00183 *ujbeg=sf->ujbeg,*uhead=sf->uhead;
<a name="l00184"></a>00184 <span class="keywordtype">double</span> x1,x2,*l1,*l2,rtemp1,
<a name="l00185"></a>00185 *diag=sf->diag,*uval=sf->uval;
<a name="l00186"></a>00186
<a name="l00187"></a>00187
<a name="l00188"></a>00188 <span class="keywordflow">if</span> (sf->nsnds) {
<a name="l00189"></a>00189 s = sf->nsnds - 1;
<a name="l00190"></a>00190 f = subg[s];
<a name="l00191"></a>00191 l = subg[s+1];
<a name="l00192"></a>00192
<a name="l00193"></a>00193 dCopy(l-f,x+f,b+f);
<a name="l00194"></a>00194
<a name="l00195"></a>00195 SolBward(l-f,diag+f,uval,uhead+f,b+f);
<a name="l00196"></a>00196
<a name="l00197"></a>00197 s = sf->nsnds-1;
<a name="l00198"></a>00198
<a name="l00199"></a>00199 <span class="keywordflow">for</span>(; s>=1; --s) {
<a name="l00200"></a>00200 f = subg[s-1];
<a name="l00201"></a>00201 l = subg[s];
<a name="l00202"></a>00202 i = l;
<a name="l00203"></a>00203
<a name="l00204"></a>00204 <span class="keywordflow">for</span>(; i>1+f; --i) {
<a name="l00205"></a>00205 -- i;
<a name="l00206"></a>00206 ls = usub+ujbeg[i];
<a name="l00207"></a>00207 l1 = uval+uhead[i-1]+1;
<a name="l00208"></a>00208 l2 = uval+uhead[i ]+0;
<a name="l00209"></a>00209 sze = ujsze[i];
<a name="l00210"></a>00210 x1 = 0.0;
<a name="l00211"></a>00211 x2 = 0.0;
<a name="l00212"></a>00212
<a name="l00213"></a>00213 <span class="keywordflow">for</span>(t=0; t<sze; ++t) {
<a name="l00214"></a>00214 rtemp1 = b[ls[t]];
<a name="l00215"></a>00215
<a name="l00216"></a>00216 x1 += l1[t]*rtemp1;
<a name="l00217"></a>00217 x2 += l2[t]*rtemp1;
<a name="l00218"></a>00218 }
<a name="l00219"></a>00219
<a name="l00220"></a>00220 b[i] = x[i ] - x2 / diag[i];
<a name="l00221"></a>00221 b[i-1] = x[i-1] - (x1 + uval[uhead[i-1]]*b[i]) / diag[i-1];
<a name="l00222"></a>00222 }
<a name="l00223"></a>00223
<a name="l00224"></a>00224 <span class="keywordflow">for</span>(; i>f;) {
<a name="l00225"></a>00225 -- i;
<a name="l00226"></a>00226 l1 = uval+uhead[i];
<a name="l00227"></a>00227 ls = usub+ujbeg[i];
<a name="l00228"></a>00228 sze = ujsze[i];
<a name="l00229"></a>00229 x1 = 0.0;
<a name="l00230"></a>00230
<a name="l00231"></a>00231 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00232"></a>00232 x1+= l1[t]*b[ls[t]];
<a name="l00233"></a>00233
<a name="l00234"></a>00234 b[i] = x[i] - x1/diag[i];
<a name="l00235"></a>00235 }
<a name="l00236"></a>00236 }
<a name="l00237"></a>00237 }
<a name="l00238"></a>00238
<a name="l00239"></a>00239 }
<a name="l00240"></a>00240
<a name="l00241"></a>00241 <span class="comment">/* Everything right for permuted system */</span>
<a name="l00242"></a>00242 <span class="keywordtype">void</span> ChlSolveForward2(chfac *sf,
<a name="l00243"></a>00243 <span class="keywordtype">double</span> b[],
<a name="l00244"></a>00244 <span class="keywordtype">double</span> x[]){
<a name="l00245"></a>00245 <span class="keywordtype">int</span> i,nrow=sf->nrow;
<a name="l00246"></a>00246 <span class="keywordtype">double</span> *sqrtdiag=sf->sqrtdiag;
<a name="l00247"></a>00247 ChlSolveForwardPrivate(sf,b);
<a name="l00248"></a>00248 <span class="keywordflow">for</span>(i=0; i<nrow; ++i){
<a name="l00249"></a>00249 x[i] = b[i]*sqrtdiag[i]; <span class="comment">/* x[i] = b[i]*sqrt(sf->diag[i]); */</span>
<a name="l00250"></a>00250 }
<a name="l00251"></a>00251 }
<a name="l00252"></a>00252
<a name="l00253"></a>00253 <span class="keywordtype">void</span> ChlSolveBackward2(chfac *sf,
<a name="l00254"></a>00254 <span class="keywordtype">double</span> b[],
<a name="l00255"></a>00255 <span class="keywordtype">double</span> x[]){
<a name="l00256"></a>00256 <span class="keywordtype">int</span> i,nrow=sf->nrow;
<a name="l00257"></a>00257 <span class="keywordtype">double</span> *sqrtdiag=sf->sqrtdiag;
<a name="l00258"></a>00258 <span class="keywordflow">for</span>(i=0; i<nrow; ++i){
<a name="l00259"></a>00259 x[i] = b[i]/(sqrtdiag[i]); <span class="comment">/* x[i] = b[i]/sqrt(sf->diag[i]) ; */</span>
<a name="l00260"></a>00260 }
<a name="l00261"></a>00261 ChlSolveBackwardPrivate(sf,x,b);
<a name="l00262"></a>00262 memcpy(x,b,nrow*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00263"></a>00263 }
<a name="l00264"></a>00264
<a name="l00265"></a>00265 <span class="comment">/* These routines together will solve an equation correctly */</span>
<a name="l00266"></a>00266 <span class="keywordtype">void</span> ChlSolveForward(chfac *sf,
<a name="l00267"></a>00267 <span class="keywordtype">double</span> b[],
<a name="l00268"></a>00268 <span class="keywordtype">double</span> x[]){
<a name="l00269"></a>00269 <span class="keywordtype">int</span> i,nrow=sf->nrow,*perm=sf->perm;
<a name="l00270"></a>00270 <span class="keywordtype">double</span> *w=sf->rw,*sqrtdiag=sf->sqrtdiag;
<a name="l00271"></a>00271 <span class="keywordflow">for</span>(i=0; i<nrow; ++i)
<a name="l00272"></a>00272 w[i] = b[perm[i]];
<a name="l00273"></a>00273 ChlSolveForwardPrivate(sf,w);
<a name="l00274"></a>00274 <span class="keywordflow">for</span>(i=0; i<nrow; ++i){
<a name="l00275"></a>00275 x[i] = w[i]*sqrtdiag[i]; <span class="comment">/* x[i] = w[i]*sqrt(sf->diag[i]); */</span>
<a name="l00276"></a>00276 }
<a name="l00277"></a>00277
<a name="l00278"></a>00278 }
<a name="l00279"></a>00279
<a name="l00280"></a>00280 <span class="keywordtype">void</span> ChlSolveBackward(chfac *sf,
<a name="l00281"></a>00281 <span class="keywordtype">double</span> b[],
<a name="l00282"></a>00282 <span class="keywordtype">double</span> x[]){
<a name="l00283"></a>00283 <span class="keywordtype">int</span> i,nrow=sf->nrow,*invp=sf->invp;
<a name="l00284"></a>00284 <span class="keywordtype">double</span> *w=sf->rw,*sqrtdiag=sf->sqrtdiag;
<a name="l00285"></a>00285 <span class="keywordflow">for</span>(i=0; i<nrow; ++i){
<a name="l00286"></a>00286 x[i] = b[i]/sqrtdiag[i];
<a name="l00287"></a>00287 }
<a name="l00288"></a>00288 ChlSolveBackwardPrivate(sf,x,w);
<a name="l00289"></a>00289 <span class="keywordflow">for</span>(i=0; i<nrow; ++i)
<a name="l00290"></a>00290 x[i] = w[invp[i]];
<a name="l00291"></a>00291
<a name="l00292"></a>00292 }
<a name="l00293"></a>00293
<a name="l00294"></a>00294 <span class="keywordtype">void</span> ChlSolve(chfac *sf,
<a name="l00295"></a>00295 <span class="keywordtype">double</span> b[],
<a name="l00296"></a>00296 <span class="keywordtype">double</span> x[]){
<a name="l00297"></a>00297 <span class="keywordtype">int</span> i,nrow=sf->nrow,*perm=sf->perm,*invp=sf->invp;
<a name="l00298"></a>00298 <span class="keywordtype">double</span> *rw=sf->rw;
<a name="l00299"></a>00299 <span class="comment">/*</span>
<a name="l00300"></a>00300 <span class="comment"> ChlSolveForward(sf,b,w,x);</span>
<a name="l00301"></a>00301 <span class="comment"> ChlSolveBackward(sf,w,x,b);</span>
<a name="l00302"></a>00302 <span class="comment"> */</span>
<a name="l00303"></a>00303 <span class="keywordflow">for</span>(i=0; i<nrow; ++i)
<a name="l00304"></a>00304 x[i] = b[perm[i]];
<a name="l00305"></a>00305
<a name="l00306"></a>00306 ChlSolveForwardPrivate(sf,x);
<a name="l00307"></a>00307 ChlSolveBackwardPrivate(sf,x,rw);
<a name="l00308"></a>00308
<a name="l00309"></a>00309 <span class="keywordflow">for</span>(i=0; i<nrow; ++i)
<a name="l00310"></a>00310 x[i] = rw[invp[i]]; <span class="comment">/* x[i] = b[i]; */</span>
<a name="l00311"></a>00311 <span class="keywordflow">return</span>;
<a name="l00312"></a>00312 }
<a name="l00313"></a>00313
<a name="l00314"></a>00314
<a name="l00315"></a>00315 <span class="keywordtype">void</span> ForwSubst(chfac *sf,
<a name="l00316"></a>00316 <span class="keywordtype">double</span> b[],
<a name="l00317"></a>00317 <span class="keywordtype">double</span> x[])
<a name="l00318"></a>00318 {
<a name="l00319"></a>00319 <span class="keywordtype">int</span> i,k,s,t,sze,f,l,itemp,*ls,
<a name="l00320"></a>00320 *subg=sf->subg,*ujsze=sf->ujsze,*usub=sf->usub,
<a name="l00321"></a>00321 *ujbeg=sf->ujbeg,*uhead=sf->uhead;
<a name="l00322"></a>00322 <span class="keywordtype">double</span> rtemp1,rtemp2,rtemp3,rtemp4,
<a name="l00323"></a>00323 rtemp5,rtemp6,rtemp7,rtemp8,
<a name="l00324"></a>00324 *l1,*l3,*l2,*l4,*l5,*l6,*l7,*l8,
<a name="l00325"></a>00325 *diag=sf->diag,*uval=sf->uval;
<a name="l00326"></a>00326
<a name="l00327"></a>00327 <span class="keywordflow">for</span>(i=0; i<sf->nrow; ++i)
<a name="l00328"></a>00328 x[i] = b[sf->perm[i]];
<a name="l00329"></a>00329
<a name="l00330"></a>00330 <span class="keywordflow">for</span>(s=0; s<sf->nsnds; ++s) {
<a name="l00331"></a>00331 f = subg[s];
<a name="l00332"></a>00332 l = subg[s+1];
<a name="l00333"></a>00333
<a name="l00334"></a>00334 SolFwdSnode(sf,s,0,l-f,x);
<a name="l00335"></a>00335
<a name="l00336"></a>00336 itemp = l-f-1;
<a name="l00337"></a>00337 ls = usub+ujbeg[f]+itemp;
<a name="l00338"></a>00338 sze = ujsze[f]-itemp;
<a name="l00339"></a>00339 k = f;
<a name="l00340"></a>00340
<a name="l00341"></a>00341 itemp = l-1;
<a name="l00342"></a>00342 <span class="keywordflow">for</span>(; k+7<l; k+=8) {
<a name="l00343"></a>00343 l1 = uval+uhead[k+0]+itemp-(k+0);
<a name="l00344"></a>00344 l2 = uval+uhead[k+1]+itemp-(k+1);
<a name="l00345"></a>00345 l3 = uval+uhead[k+2]+itemp-(k+2);
<a name="l00346"></a>00346 l4 = uval+uhead[k+3]+itemp-(k+3);
<a name="l00347"></a>00347 l5 = uval+uhead[k+4]+itemp-(k+4);
<a name="l00348"></a>00348 l6 = uval+uhead[k+5]+itemp-(k+5);
<a name="l00349"></a>00349 l7 = uval+uhead[k+6]+itemp-(k+6);
<a name="l00350"></a>00350 l8 = uval+uhead[k+7]+itemp-(k+7);
<a name="l00351"></a>00351
<a name="l00352"></a>00352 rtemp1 = x[k+0];
<a name="l00353"></a>00353 rtemp2 = x[k+1];
<a name="l00354"></a>00354 rtemp3 = x[k+2];
<a name="l00355"></a>00355 rtemp4 = x[k+3];
<a name="l00356"></a>00356 rtemp5 = x[k+4];
<a name="l00357"></a>00357 rtemp6 = x[k+5];
<a name="l00358"></a>00358 rtemp7 = x[k+6];
<a name="l00359"></a>00359 rtemp8 = x[k+7];
<a name="l00360"></a>00360
<a name="l00361"></a>00361 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00362"></a>00362 x[ls[t]] -= rtemp1*l1[t]
<a name="l00363"></a>00363 + rtemp2*l2[t]
<a name="l00364"></a>00364 + rtemp3*l3[t]
<a name="l00365"></a>00365 + rtemp4*l4[t]
<a name="l00366"></a>00366 + rtemp5*l5[t]
<a name="l00367"></a>00367 + rtemp6*l6[t]
<a name="l00368"></a>00368 + rtemp7*l7[t]
<a name="l00369"></a>00369 + rtemp8*l8[t];
<a name="l00370"></a>00370 }
<a name="l00371"></a>00371
<a name="l00372"></a>00372 <span class="keywordflow">for</span>(; k+3<l; k+=4) {
<a name="l00373"></a>00373 l1 = uval+uhead[k+0]+itemp-(k+0);
<a name="l00374"></a>00374 l2 = uval+uhead[k+1]+itemp-(k+1);
<a name="l00375"></a>00375 l3 = uval+uhead[k+2]+itemp-(k+2);
<a name="l00376"></a>00376 l4 = uval+uhead[k+3]+itemp-(k+3);
<a name="l00377"></a>00377
<a name="l00378"></a>00378 rtemp1 = x[k+0];
<a name="l00379"></a>00379 rtemp2 = x[k+1];
<a name="l00380"></a>00380 rtemp3 = x[k+2];
<a name="l00381"></a>00381 rtemp4 = x[k+3];
<a name="l00382"></a>00382
<a name="l00383"></a>00383 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00384"></a>00384 x[ls[t]] -= rtemp1*l1[t]
<a name="l00385"></a>00385 + rtemp2*l2[t]
<a name="l00386"></a>00386 + rtemp3*l3[t]
<a name="l00387"></a>00387 + rtemp4*l4[t];
<a name="l00388"></a>00388 }
<a name="l00389"></a>00389
<a name="l00390"></a>00390 <span class="keywordflow">for</span>(; k+1<l; k+=2) {
<a name="l00391"></a>00391 l1 = uval+uhead[k+0]+itemp-(k+0);
<a name="l00392"></a>00392 l2 = uval+uhead[k+1]+itemp-(k+1);
<a name="l00393"></a>00393
<a name="l00394"></a>00394 rtemp1 = x[k+0];
<a name="l00395"></a>00395 rtemp2 = x[k+1];
<a name="l00396"></a>00396
<a name="l00397"></a>00397 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00398"></a>00398 x[ls[t]] -= rtemp1*l1[t]
<a name="l00399"></a>00399 + rtemp2*l2[t];
<a name="l00400"></a>00400 }
<a name="l00401"></a>00401
<a name="l00402"></a>00402
<a name="l00403"></a>00403 <span class="keywordflow">for</span>(; k<l; ++k) {
<a name="l00404"></a>00404 l1 = uval+uhead[k+0]+itemp-(k+0);
<a name="l00405"></a>00405
<a name="l00406"></a>00406 rtemp1 = x[k+0];
<a name="l00407"></a>00407
<a name="l00408"></a>00408 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00409"></a>00409 x[ls[t]] -= rtemp1*l1[t];
<a name="l00410"></a>00410 }
<a name="l00411"></a>00411 }
<a name="l00412"></a>00412
<a name="l00413"></a>00413 <span class="keywordflow">for</span> (i=0; i<sf->nrow; i++){
<a name="l00414"></a>00414 x[i] = x[i] * sqrt( fabs(diag[i]) );
<a name="l00415"></a>00415 }
<a name="l00416"></a>00416
<a name="l00417"></a>00417 } <span class="comment">/* ForwSubst */</span>
<a name="l00418"></a>00418
<a name="l00419"></a>00419
<a name="l00420"></a>00420
<a name="l00421"></a>00421 <span class="keyword">static</span> <span class="keywordtype">void</span> mulSnod(chfac *sf,
<a name="l00422"></a>00422 <span class="keywordtype">int</span> snde,
<a name="l00423"></a>00423 <span class="keywordtype">int</span> f,
<a name="l00424"></a>00424 <span class="keywordtype">int</span> l,
<a name="l00425"></a>00425 <span class="keywordtype">double</span> *b,
<a name="l00426"></a>00426 <span class="keywordtype">double</span> *x)
<a name="l00427"></a>00427 {
<a name="l00428"></a>00428 <span class="keywordtype">int</span> i,t,sze,*ls,*subg,*ujbeg,*uhead,*usub;
<a name="l00429"></a>00429 <span class="keywordtype">double</span> xi,*l1,*diag,*uval;
<a name="l00430"></a>00430
<a name="l00431"></a>00431 subg =sf->subg;
<a name="l00432"></a>00432 ujbeg=sf->ujbeg;
<a name="l00433"></a>00433 uhead=sf->uhead;
<a name="l00434"></a>00434 usub =sf->usub;
<a name="l00435"></a>00435 diag =sf->diag;
<a name="l00436"></a>00436 uval =sf->uval;
<a name="l00437"></a>00437
<a name="l00438"></a>00438 f += subg[snde];
<a name="l00439"></a>00439 l += subg[snde];
<a name="l00440"></a>00440
<a name="l00441"></a>00441 <span class="keywordflow">for</span>(i=f; i<l; ++i) {
<a name="l00442"></a>00442 xi =b[i];
<a name="l00443"></a>00443 ls =usub+ujbeg[i];
<a name="l00444"></a>00444 l1 =uval+uhead[i];
<a name="l00445"></a>00445 sze =l-i-1;
<a name="l00446"></a>00446 x[i]+=xi*diag[i];
<a name="l00447"></a>00447 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00448"></a>00448 x[ls[t]]+=l1[t]*xi;
<a name="l00449"></a>00449 }
<a name="l00450"></a>00450 } <span class="comment">/* mulSnod */</span>
<a name="l00451"></a>00451
<a name="l00452"></a>00452 <span class="keywordtype">void</span> GetUhat(chfac *sf,
<a name="l00453"></a>00453 <span class="keywordtype">double</span> *b,
<a name="l00454"></a>00454 <span class="keywordtype">double</span> *x)
<a name="l00455"></a>00455 <span class="comment">/* If S = L L^T, then b = L x */</span>
<a name="l00456"></a>00456 {
<a name="l00457"></a>00457 <span class="keywordtype">int</span> i,k,n,s,t,sze,f,l,itemp,*ls,
<a name="l00458"></a>00458 *subg,*ujsze,*usub,*ujbeg,*uhead;
<a name="l00459"></a>00459 <span class="keywordtype">double</span> rtemp1,rtemp2,rtemp3,rtemp4,
<a name="l00460"></a>00460 rtemp5,rtemp6,rtemp7,rtemp8,
<a name="l00461"></a>00461 *l1,*l3,*l2,*l4,*l5,*l6,*l7,*l8,
<a name="l00462"></a>00462 *diag,*uval;
<a name="l00463"></a>00463
<a name="l00464"></a>00464 n =sf->nrow;
<a name="l00465"></a>00465 subg =sf->subg;
<a name="l00466"></a>00466 ujsze=sf->ujsze;
<a name="l00467"></a>00467 usub =sf->usub;
<a name="l00468"></a>00468 ujbeg=sf->ujbeg;
<a name="l00469"></a>00469 uhead=sf->uhead;
<a name="l00470"></a>00470 diag =sf->diag;
<a name="l00471"></a>00471 uval =sf->uval;
<a name="l00472"></a>00472
<a name="l00473"></a>00473 <span class="keywordflow">for</span> (i=0; i<n; i++) {
<a name="l00474"></a>00474 <span class="keywordflow">if</span> (diag[i]>0)
<a name="l00475"></a>00475 x[i]=b[i]/sqrt(diag[i]);
<a name="l00476"></a>00476 <span class="keywordflow">else</span> x[i]=b[i]/sqrt(-diag[i]);
<a name="l00477"></a>00477 b[i]=0.0;
<a name="l00478"></a>00478 }
<a name="l00479"></a>00479
<a name="l00480"></a>00480 <span class="keywordflow">for</span> (s=0; s<sf->nsnds; s++) {
<a name="l00481"></a>00481 f=subg[s];
<a name="l00482"></a>00482 l=subg[s+1];
<a name="l00483"></a>00483
<a name="l00484"></a>00484 mulSnod(sf,s,0,l-f,x,b);
<a name="l00485"></a>00485
<a name="l00486"></a>00486 itemp=l-f-1;
<a name="l00487"></a>00487 ls =usub+ujbeg[f]+itemp;
<a name="l00488"></a>00488 sze =ujsze[f]-itemp;
<a name="l00489"></a>00489 k =f;
<a name="l00490"></a>00490
<a name="l00491"></a>00491 itemp=l-1;
<a name="l00492"></a>00492 <span class="keywordflow">for</span>(; k+7<l; k+=8) {
<a name="l00493"></a>00493 l1 =uval+uhead[k+0]+itemp-(k+0);
<a name="l00494"></a>00494 l2 =uval+uhead[k+1]+itemp-(k+1);
<a name="l00495"></a>00495 l3 =uval+uhead[k+2]+itemp-(k+2);
<a name="l00496"></a>00496 l4 =uval+uhead[k+3]+itemp-(k+3);
<a name="l00497"></a>00497 l5 =uval+uhead[k+4]+itemp-(k+4);
<a name="l00498"></a>00498 l6 =uval+uhead[k+5]+itemp-(k+5);
<a name="l00499"></a>00499 l7 =uval+uhead[k+6]+itemp-(k+6);
<a name="l00500"></a>00500 l8 =uval+uhead[k+7]+itemp-(k+7);
<a name="l00501"></a>00501
<a name="l00502"></a>00502 rtemp1=x[k+0];
<a name="l00503"></a>00503 rtemp2=x[k+1];
<a name="l00504"></a>00504 rtemp3=x[k+2];
<a name="l00505"></a>00505 rtemp4=x[k+3];
<a name="l00506"></a>00506 rtemp5=x[k+4];
<a name="l00507"></a>00507 rtemp6=x[k+5];
<a name="l00508"></a>00508 rtemp7=x[k+6];
<a name="l00509"></a>00509 rtemp8=x[k+7];
<a name="l00510"></a>00510
<a name="l00511"></a>00511 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00512"></a>00512 b[ls[t]]+= rtemp1*l1[t]
<a name="l00513"></a>00513 +rtemp2*l2[t]
<a name="l00514"></a>00514 +rtemp3*l3[t]
<a name="l00515"></a>00515 +rtemp4*l4[t]
<a name="l00516"></a>00516 +rtemp5*l5[t]
<a name="l00517"></a>00517 +rtemp6*l6[t]
<a name="l00518"></a>00518 +rtemp7*l7[t]
<a name="l00519"></a>00519 +rtemp8*l8[t];
<a name="l00520"></a>00520 }
<a name="l00521"></a>00521
<a name="l00522"></a>00522
<a name="l00523"></a>00523 <span class="keywordflow">for</span>(; k+3<l; k+=4) {
<a name="l00524"></a>00524 l1 =uval+uhead[k+0]+itemp-(k+0);
<a name="l00525"></a>00525 l2 =uval+uhead[k+1]+itemp-(k+1);
<a name="l00526"></a>00526 l3 =uval+uhead[k+2]+itemp-(k+2);
<a name="l00527"></a>00527 l4 =uval+uhead[k+3]+itemp-(k+3);
<a name="l00528"></a>00528
<a name="l00529"></a>00529 rtemp1=x[k+0];
<a name="l00530"></a>00530 rtemp2=x[k+1];
<a name="l00531"></a>00531 rtemp3=x[k+2];
<a name="l00532"></a>00532 rtemp4=x[k+3];
<a name="l00533"></a>00533
<a name="l00534"></a>00534 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00535"></a>00535 b[ls[t]]+= rtemp1*l1[t]
<a name="l00536"></a>00536 +rtemp2*l2[t]
<a name="l00537"></a>00537 +rtemp3*l3[t]
<a name="l00538"></a>00538 +rtemp4*l4[t];
<a name="l00539"></a>00539 }
<a name="l00540"></a>00540
<a name="l00541"></a>00541 <span class="keywordflow">for</span>(; k+1<l; k+=2) {
<a name="l00542"></a>00542 l1 =uval+uhead[k+0]+itemp-(k+0);
<a name="l00543"></a>00543 l2 =uval+uhead[k+1]+itemp-(k+1);
<a name="l00544"></a>00544
<a name="l00545"></a>00545 rtemp1=x[k+0];
<a name="l00546"></a>00546 rtemp2=x[k+1];
<a name="l00547"></a>00547
<a name="l00548"></a>00548 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00549"></a>00549 b[ls[t]]+= rtemp1*l1[t]
<a name="l00550"></a>00550 +rtemp2*l2[t];
<a name="l00551"></a>00551 }
<a name="l00552"></a>00552
<a name="l00553"></a>00553
<a name="l00554"></a>00554 <span class="keywordflow">for</span>(; k<l; ++k) {
<a name="l00555"></a>00555 l1 =uval+uhead[k+0]+itemp-(k+0);
<a name="l00556"></a>00556
<a name="l00557"></a>00557 rtemp1=x[k+0];
<a name="l00558"></a>00558
<a name="l00559"></a>00559 <span class="keywordflow">for</span>(t=0; t<sze; ++t)
<a name="l00560"></a>00560 b[ls[t]]+=rtemp1*l1[t];
<a name="l00561"></a>00561 }
<a name="l00562"></a>00562 }
<a name="l00563"></a>00563
<a name="l00564"></a>00564 <span class="keywordflow">for</span> (i=0; i<n; i++)
<a name="l00565"></a>00565 x[ sf->invp[i] ]=b[i];
<a name="l00566"></a>00566 } <span class="comment">/* GetUhat */</span>
<a name="l00567"></a>00567
<a name="l00568"></a>00568
<a name="l00569"></a>00569
<a name="l00570"></a>00570
<a name="l00571"></a>00571 <span class="keywordtype">int</span> MatSolve4(chfac*sf, <span class="keywordtype">double</span> *b, <span class="keywordtype">double</span> *x,<span class="keywordtype">int</span> n){
<a name="l00572"></a>00572
<a name="l00573"></a>00573 memcpy(x,b,n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00574"></a>00574 ChlSolve(sf, b, x);
<a name="l00575"></a>00575
<a name="l00576"></a>00576 <span class="keywordflow">return</span> 0;
<a name="l00577"></a>00577 }
<a name="l00578"></a>00578
<a name="l00579"></a>00579 <span class="keywordtype">int</span> Mat4GetDiagonal(chfac*sf, <span class="keywordtype">double</span> *b,<span class="keywordtype">int</span> n){
<a name="l00580"></a>00580
<a name="l00581"></a>00581 <span class="keywordtype">int</span> i,*invp=sf->invp;
<a name="l00582"></a>00582 <span class="keywordtype">double</span> *diag=sf->diag;
<a name="l00583"></a>00583
<a name="l00584"></a>00584 <span class="keywordflow">for</span> (i=0; i<n; i++, invp++){
<a name="l00585"></a>00585 b[i]=diag[*invp];
<a name="l00586"></a>00586 }
<a name="l00587"></a>00587 <span class="keywordflow">return</span> 0;
<a name="l00588"></a>00588 }
<a name="l00589"></a>00589
<a name="l00590"></a>00590 <span class="keywordtype">int</span> Mat4SetDiagonal(chfac*sf, <span class="keywordtype">double</span> *b,<span class="keywordtype">int</span> n){
<a name="l00591"></a>00591
<a name="l00592"></a>00592 <span class="keywordtype">int</span> i,*invp=sf->invp;
<a name="l00593"></a>00593 <span class="keywordtype">double</span> *diag=sf->diag;
<a name="l00594"></a>00594 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00595"></a>00595 diag[invp[i]]=b[i];
<a name="l00596"></a>00596 }
<a name="l00597"></a>00597 <span class="keywordflow">return</span> 0;
<a name="l00598"></a>00598 }
<a name="l00599"></a>00599
<a name="l00600"></a>00600 <span class="keywordtype">int</span> Mat4AddDiagonal(chfac*sf, <span class="keywordtype">double</span> *b,<span class="keywordtype">int</span> n){
<a name="l00601"></a>00601
<a name="l00602"></a>00602 <span class="keywordtype">int</span> i,*invp=sf->invp;
<a name="l00603"></a>00603 <span class="keywordtype">double</span> *diag=sf->diag;
<a name="l00604"></a>00604 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00605"></a>00605 diag[invp[i]]+=b[i];
<a name="l00606"></a>00606 }
<a name="l00607"></a>00607 <span class="keywordflow">return</span> 0;
<a name="l00608"></a>00608 }
<a name="l00609"></a>00609
<a name="l00610"></a>00610 <span class="keywordtype">int</span> MatAddDiagonalElement(chfac*sf, <span class="keywordtype">int</span> row, <span class="keywordtype">double</span> dd){
<a name="l00611"></a>00611
<a name="l00612"></a>00612 <span class="keywordtype">int</span> *invp=sf->invp;
<a name="l00613"></a>00613 <span class="keywordtype">double</span> *diag=sf->diag;
<a name="l00614"></a>00614 diag[invp[row]]+=dd;
<a name="l00615"></a>00615 <span class="keywordflow">return</span> 0;
<a name="l00616"></a>00616 }
<a name="l00617"></a>00617
<a name="l00618"></a>00618
<a name="l00619"></a>00619 <span class="keywordtype">int</span> MatMult4(chfac *sf, <span class="keywordtype">double</span> *x, <span class="keywordtype">double</span> *y, <span class="keywordtype">int</span> n){
<a name="l00620"></a>00620
<a name="l00621"></a>00621 <span class="keywordtype">int</span> i,j,*invp=sf->invp,*perm=sf->perm;
<a name="l00622"></a>00622 <span class="keywordtype">int</span> *usub=sf->usub,*ujbeg=sf->ujbeg,*uhead=sf->uhead, *ujsze=sf->ujsze;
<a name="l00623"></a>00623 <span class="keywordtype">int</span> *iptr,k1,k2;
<a name="l00624"></a>00624 <span class="keywordtype">double</span> dd,*sval,*diag=sf->diag,*uval=sf->uval;
<a name="l00625"></a>00625
<a name="l00626"></a>00626 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00627"></a>00627 y[i] = diag[invp[i]] * x[i];
<a name="l00628"></a>00628 }
<a name="l00629"></a>00629 <span class="keywordflow">for</span> (i=0; i<n; ++i){
<a name="l00630"></a>00630
<a name="l00631"></a>00631 iptr=usub + ujbeg[i];
<a name="l00632"></a>00632 sval=uval + uhead[i];
<a name="l00633"></a>00633 k1=perm[i];
<a name="l00634"></a>00634 <span class="keywordflow">for</span> (j=0; j<ujsze[i]; j++){
<a name="l00635"></a>00635 dd=sval[j];
<a name="l00636"></a>00636 <span class="keywordflow">if</span> (fabs(dd)> 1e-15){
<a name="l00637"></a>00637 k2=perm[iptr[j]];
<a name="l00638"></a>00638 y[k1] += dd * x[k2];
<a name="l00639"></a>00639 y[k2] += dd * x[k1];
<a name="l00640"></a>00640 }
<a name="l00641"></a>00641 }
<a name="l00642"></a>00642 }
<a name="l00643"></a>00643 <span class="keywordflow">return</span> 0;
<a name="l00644"></a>00644 }
<a name="l00645"></a>00645
<a name="l00646"></a>00646
<a name="l00647"></a>00647 <span class="keyword">static</span> <span class="keywordtype">void</span> setXYind2(<span class="keywordtype">int</span> nnz,
<a name="l00648"></a>00648 <span class="keywordtype">double</span>* y,
<a name="l00649"></a>00649 <span class="keywordtype">double</span>* x,
<a name="l00650"></a>00650 <span class="keywordtype">int</span>* s,
<a name="l00651"></a>00651 <span class="keywordtype">int</span>* invp)
<a name="l00652"></a>00652 {
<a name="l00653"></a>00653 <span class="keywordtype">int</span> i;
<a name="l00654"></a>00654
<a name="l00655"></a>00655 <span class="keywordflow">for</span>(i=0; i<nnz; ++i) {
<a name="l00656"></a>00656 x[i]=y[ invp[ s[i] ] ];
<a name="l00657"></a>00657 y[ invp[s[i]] ]=0.0;
<a name="l00658"></a>00658 }
<a name="l00659"></a>00659 } <span class="comment">/* setXYind */</span>
<a name="l00660"></a>00660
<a name="l00661"></a>00661 <span class="keyword">static</span> <span class="keywordtype">void</span> setColi(chfac* cl,
<a name="l00662"></a>00662 <span class="keywordtype">int</span> i,
<a name="l00663"></a>00663 <span class="keywordtype">double</span>* ai)
<a name="l00664"></a>00664 {
<a name="l00665"></a>00665 setXYind2(cl->ujsze[i],ai,
<a name="l00666"></a>00666 cl->uval+cl->uhead[i],
<a name="l00667"></a>00667 cl->usub+cl->ujbeg[i],
<a name="l00668"></a>00668 cl->perm);
<a name="l00669"></a>00669 } <span class="comment">/* setColi */</span>
<a name="l00670"></a>00670
<a name="l00671"></a>00671 <span class="keyword">static</span> <span class="keywordtype">void</span> setXYind2add(<span class="keywordtype">int</span> nnz,
<a name="l00672"></a>00672 <span class="keywordtype">double</span> dd,
<a name="l00673"></a>00673 <span class="keywordtype">double</span>* y,
<a name="l00674"></a>00674 <span class="keywordtype">double</span>* x,
<a name="l00675"></a>00675 <span class="keywordtype">int</span>* s,
<a name="l00676"></a>00676 <span class="keywordtype">int</span>* invp)
<a name="l00677"></a>00677 {
<a name="l00678"></a>00678 <span class="keywordtype">int</span> i;
<a name="l00679"></a>00679
<a name="l00680"></a>00680 <span class="keywordflow">for</span>(i=0; i<nnz; ++i) {
<a name="l00681"></a>00681 x[i]+=dd*y[ invp[ s[i] ] ];
<a name="l00682"></a>00682 y[ invp[s[i]] ]=0.0;
<a name="l00683"></a>00683 }
<a name="l00684"></a>00684 } <span class="comment">/* setXYind */</span>
<a name="l00685"></a>00685
<a name="l00686"></a>00686 <span class="keyword">static</span> <span class="keywordtype">void</span> setColi2(chfac* cl,
<a name="l00687"></a>00687 <span class="keywordtype">int</span> i,<span class="keywordtype">double</span> dd,
<a name="l00688"></a>00688 <span class="keywordtype">double</span>* ai)
<a name="l00689"></a>00689 {
<a name="l00690"></a>00690 setXYind2add(cl->ujsze[i],dd,ai,
<a name="l00691"></a>00691 cl->uval+cl->uhead[i],
<a name="l00692"></a>00692 cl->usub+cl->ujbeg[i],
<a name="l00693"></a>00693 cl->perm);
<a name="l00694"></a>00694 } <span class="comment">/* setColi */</span>
<a name="l00695"></a>00695
<a name="l00696"></a>00696
<a name="l00697"></a>00697 <span class="keyword">static</span> <span class="keywordtype">void</span> getXYind2(<span class="keywordtype">int</span> nnz,
<a name="l00698"></a>00698 <span class="keywordtype">double</span>* y,
<a name="l00699"></a>00699 <span class="keywordtype">double</span>* x,
<a name="l00700"></a>00700 <span class="keywordtype">int</span>* s,
<a name="l00701"></a>00701 <span class="keywordtype">int</span>* invp)
<a name="l00702"></a>00702 {
<a name="l00703"></a>00703 <span class="keywordtype">int</span> i;
<a name="l00704"></a>00704
<a name="l00705"></a>00705 <span class="keywordflow">for</span>(i=0; i<nnz; ++i) {
<a name="l00706"></a>00706 y[ invp[s[i]] ]=x[i];
<a name="l00707"></a>00707 }
<a name="l00708"></a>00708 } <span class="comment">/* setXYind */</span>
<a name="l00709"></a>00709
<a name="l00710"></a>00710
<a name="l00711"></a>00711 <span class="keywordtype">int</span> Mat4View(chfac *sf){
<a name="l00712"></a>00712
<a name="l00713"></a>00713 <span class="keywordtype">int</span> i,j,n=sf->nrow;
<a name="l00714"></a>00714 <span class="keywordtype">double</span> *v=sf->rw;
<a name="l00715"></a>00715 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00716"></a>00716 <span class="keywordflow">for</span> (j=0;j<n;++j) v[j]=0.0;
<a name="l00717"></a>00717 getXYind2(sf->ujsze[i],v,
<a name="l00718"></a>00718 sf->uval+sf->uhead[i],
<a name="l00719"></a>00719 sf->usub+sf->ujbeg[i],
<a name="l00720"></a>00720 sf->perm);
<a name="l00721"></a>00721 v[i]=sf->diag[sf->invp[i]];
<a name="l00722"></a>00722 printf(<span class="stringliteral">"Row %d, "</span>,i);
<a name="l00723"></a>00723 <span class="keywordflow">for</span> (j=0;j<n;j++){
<a name="l00724"></a>00724 <span class="keywordflow">if</span> (v[j]!=0) printf(<span class="stringliteral">" %d: %4.4e "</span>,j,v[j]);
<a name="l00725"></a>00725 }
<a name="l00726"></a>00726 printf(<span class="stringliteral">"\n"</span>);
<a name="l00727"></a>00727 }
<a name="l00728"></a>00728
<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="keywordtype">int</span> MatZeroEntries4(chfac *sf){
<a name="l00734"></a>00734
<a name="l00735"></a>00735 <span class="keywordtype">int</span> i,n=sf->n;
<a name="l00736"></a>00736 <span class="keywordtype">double</span> *rw=sf->rw;
<a name="l00737"></a>00737 memset((<span class="keywordtype">void</span>*)(sf->diag),0,n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00738"></a>00738 memset((<span class="keywordtype">void</span>*)(rw),0,n*<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));
<a name="l00739"></a>00739
<a name="l00740"></a>00740 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00741"></a>00741 setColi(sf,i,rw);
<a name="l00742"></a>00742 }
<a name="l00743"></a>00743
<a name="l00744"></a>00744 <span class="keywordflow">return</span> 0;
<a name="l00745"></a>00745 }
<a name="l00746"></a>00746
<a name="l00747"></a>00747
<a name="l00748"></a>00748
<a name="l00749"></a>00749 <span class="keywordtype">int</span> MatSetColumn4(chfac *cl, <span class="keywordtype">double</span> *val, <span class="keywordtype">int</span> col){
<a name="l00750"></a>00750
<a name="l00751"></a>00751 <span class="keywordtype">int</span> pcol=cl->invp[col];
<a name="l00752"></a>00752
<a name="l00753"></a>00753 cl->diag[pcol]=val[col];
<a name="l00754"></a>00754 val[col]=0.0;
<a name="l00755"></a>00755 setColi(cl,pcol,val);
<a name="l00756"></a>00756
<a name="l00757"></a>00757 <span class="keywordflow">return</span> 0;
<a name="l00758"></a>00758 } <span class="comment">/* SetColumn */</span>
<a name="l00759"></a>00759
<a name="l00760"></a>00760 <span class="keywordtype">int</span> MatAddColumn4(chfac *cl, <span class="keywordtype">double</span> dd, <span class="keywordtype">double</span> *val, <span class="keywordtype">int</span> col){
<a name="l00761"></a>00761
<a name="l00762"></a>00762 <span class="keywordtype">int</span> pcol=cl->invp[col];
<a name="l00763"></a>00763
<a name="l00764"></a>00764 cl->diag[pcol]+=dd*val[col];
<a name="l00765"></a>00765 val[col]=0.0;
<a name="l00766"></a>00766 setColi2(cl,pcol,dd,val);
<a name="l00767"></a>00767
<a name="l00768"></a>00768 <span class="keywordflow">return</span> 0;
<a name="l00769"></a>00769 } <span class="comment">/* SetColumn */</span>
<a name="l00770"></a>00770
<a name="l00771"></a>00771
<a name="l00772"></a>00772 <span class="keywordtype">int</span> MatSetValue4(chfac *cl, <span class="keywordtype">int</span> row,<span class="keywordtype">int</span> col,<span class="keywordtype">double</span> val, <span class="keywordtype">int</span> setmode){
<a name="l00773"></a>00773
<a name="l00774"></a>00774 <span class="keywordtype">int</span> i;
<a name="l00775"></a>00775 <span class="keywordtype">double</span>* x=cl->uval+cl->uhead[col];
<a name="l00776"></a>00776 <span class="keywordtype">int</span>* s=cl->usub+cl->ujbeg[col];
<a name="l00777"></a>00777 <span class="keywordtype">int</span> nnz=cl->ujsze[col];
<a name="l00778"></a>00778 <span class="keywordtype">int</span> insertmode=1,addmode=2;
<a name="l00779"></a>00779
<a name="l00780"></a>00780 <span class="keywordflow">if</span> (row<0 || col<0 || row>=cl->n || col>=cl->n){
<a name="l00781"></a>00781 printf(<span class="stringliteral">"CHol set Value error: Row: %d, COl: %d \n"</span>,row,col);
<a name="l00782"></a>00782 <span class="keywordflow">return</span> 1;
<a name="l00783"></a>00783 }
<a name="l00784"></a>00784
<a name="l00785"></a>00785 <span class="keywordflow">if</span> (setmode==insertmode&&row==col){
<a name="l00786"></a>00786 cl->diag[cl->invp[col]]=val;
<a name="l00787"></a>00787 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (setmode==addmode&&row==col) {
<a name="l00788"></a>00788 cl->diag[cl->invp[col]]+=val;
<a name="l00789"></a>00789 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (setmode==insertmode){
<a name="l00790"></a>00790 <span class="keywordflow">for</span>(i=0; i<nnz; ++i) {
<a name="l00791"></a>00791 <span class="keywordflow">if</span> (s[i]==row){
<a name="l00792"></a>00792 x[i]=val;
<a name="l00793"></a>00793 }
<a name="l00794"></a>00794 }
<a name="l00795"></a>00795 } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (setmode==addmode){
<a name="l00796"></a>00796 <span class="keywordflow">for</span>(i=0; i<nnz; ++i) {
<a name="l00797"></a>00797 <span class="keywordflow">if</span> (s[i]==row){
<a name="l00798"></a>00798 x[i]+=val;
<a name="l00799"></a>00799 }
<a name="l00800"></a>00800 }
<a name="l00801"></a>00801 } <span class="keywordflow">else</span> {
<a name="l00802"></a>00802 <span class="keywordflow">return</span> 1;
<a name="l00803"></a>00803 }
<a name="l00804"></a>00804
<a name="l00805"></a>00805 <span class="keywordflow">return</span> 0;
<a name="l00806"></a>00806 } <span class="comment">/* SetValue */</span>
<a name="l00807"></a>00807
<a name="l00808"></a>00808
<a name="l00809"></a>00809 <span class="keywordtype">int</span> Mat4DiagonalShift(chfac*sf, <span class="keywordtype">double</span> shift){
<a name="l00810"></a>00810 <span class="keywordtype">int</span> i,n=sf->nrow;
<a name="l00811"></a>00811 <span class="keywordtype">double</span> *diag=sf->diag;
<a name="l00812"></a>00812 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00813"></a>00813 diag[i] += shift;
<a name="l00814"></a>00814 }
<a name="l00815"></a>00815 <span class="keywordflow">return</span> 0;
<a name="l00816"></a>00816 }
<a name="l00817"></a>00817
<a name="l00818"></a>00818 <span class="keywordtype">int</span> Mat4LogDet(chfac*sf, <span class="keywordtype">double</span> *dd){
<a name="l00819"></a>00819 <span class="keywordtype">int</span> i,n=sf->nrow;
<a name="l00820"></a>00820 <span class="keywordtype">double</span> *diag=sf->diag,ddd=0;
<a name="l00821"></a>00821 <span class="keywordflow">for</span> (i=0; i<n; i++){
<a name="l00822"></a>00822 <span class="keywordflow">if</span> (diag[i]<=0) <span class="keywordflow">return</span> 1;
<a name="l00823"></a>00823 ddd+=log(diag[i]);
<a name="l00824"></a>00824 }
<a name="l00825"></a>00825 *dd=ddd;
<a name="l00826"></a>00826 <span class="keywordflow">return</span> 0;
<a name="l00827"></a>00827 }
<a name="l00828"></a>00828
</pre></div></div>
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