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<h1>src/libsphinxbase/util/slapack_lite.c</h1>  </div>
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<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*</span>
<a name="l00002"></a>00002 <span class="comment">NOTE: This is generated code. Look in README.python for information on</span>
<a name="l00003"></a>00003 <span class="comment">      remaking this file.</span>
<a name="l00004"></a>00004 <span class="comment">*/</span>
<a name="l00005"></a>00005 <span class="preprocessor">#include &quot;sphinxbase/f2c.h&quot;</span>
<a name="l00006"></a>00006 
<a name="l00007"></a>00007 <span class="preprocessor">#ifdef HAVE_CONFIG</span>
<a name="l00008"></a>00008 <span class="preprocessor"></span><span class="preprocessor">#include &quot;config.h&quot;</span>
<a name="l00009"></a>00009 <span class="preprocessor">#else</span>
<a name="l00010"></a>00010 <span class="preprocessor"></span><span class="keyword">extern</span> doublereal slamch_(<span class="keywordtype">char</span> *);
<a name="l00011"></a>00011 <span class="preprocessor">#define EPSILON slamch_(&quot;Epsilon&quot;)</span>
<a name="l00012"></a>00012 <span class="preprocessor"></span><span class="preprocessor">#define SAFEMINIMUM slamch_(&quot;Safe minimum&quot;)</span>
<a name="l00013"></a>00013 <span class="preprocessor"></span><span class="preprocessor">#define PRECISION slamch_(&quot;Precision&quot;)</span>
<a name="l00014"></a>00014 <span class="preprocessor"></span><span class="preprocessor">#define BASE slamch_(&quot;Base&quot;)</span>
<a name="l00015"></a>00015 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00016"></a>00016 <span class="preprocessor"></span>
<a name="l00017"></a>00017 
<a name="l00018"></a>00018 <span class="keyword">extern</span> doublereal slapy2_(real *, real *);
<a name="l00019"></a>00019 
<a name="l00020"></a>00020 
<a name="l00021"></a>00021 
<a name="l00022"></a>00022 <span class="comment">/* Table of constant values */</span>
<a name="l00023"></a>00023 
<a name="l00024"></a>00024 <span class="keyword">static</span> integer c__0 = 0;
<a name="l00025"></a>00025 <span class="keyword">static</span> real c_b163 = 0.f;
<a name="l00026"></a>00026 <span class="keyword">static</span> real c_b164 = 1.f;
<a name="l00027"></a>00027 <span class="keyword">static</span> integer c__1 = 1;
<a name="l00028"></a>00028 <span class="keyword">static</span> real c_b181 = -1.f;
<a name="l00029"></a>00029 <span class="keyword">static</span> integer c_n1 = -1;
<a name="l00030"></a>00030 
<a name="l00031"></a>00031 integer ieeeck_(integer *ispec, real *zero, real *one)
<a name="l00032"></a>00032 {
<a name="l00033"></a>00033     <span class="comment">/* System generated locals */</span>
<a name="l00034"></a>00034     integer ret_val;
<a name="l00035"></a>00035 
<a name="l00036"></a>00036     <span class="comment">/* Local variables */</span>
<a name="l00037"></a>00037     <span class="keyword">static</span> real nan1, nan2, nan3, nan4, nan5, nan6, neginf, posinf, negzro,
<a name="l00038"></a>00038             newzro;
<a name="l00039"></a>00039 
<a name="l00040"></a>00040 
<a name="l00041"></a>00041 <span class="comment">/*</span>
<a name="l00042"></a>00042 <span class="comment">    -- LAPACK auxiliary routine (version 3.0) --</span>
<a name="l00043"></a>00043 <span class="comment">       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,</span>
<a name="l00044"></a>00044 <span class="comment">       Courant Institute, Argonne National Lab, and Rice University</span>
<a name="l00045"></a>00045 <span class="comment">       June 30, 1998</span>
<a name="l00046"></a>00046 <span class="comment"></span>
<a name="l00047"></a>00047 <span class="comment"></span>
<a name="l00048"></a>00048 <span class="comment">    Purpose</span>
<a name="l00049"></a>00049 <span class="comment">    =======</span>
<a name="l00050"></a>00050 <span class="comment"></span>
<a name="l00051"></a>00051 <span class="comment">    IEEECK is called from the ILAENV to verify that Infinity and</span>
<a name="l00052"></a>00052 <span class="comment">    possibly NaN arithmetic is safe (i.e. will not trap).</span>
<a name="l00053"></a>00053 <span class="comment"></span>
<a name="l00054"></a>00054 <span class="comment">    Arguments</span>
<a name="l00055"></a>00055 <span class="comment">    =========</span>
<a name="l00056"></a>00056 <span class="comment"></span>
<a name="l00057"></a>00057 <span class="comment">    ISPEC   (input) INTEGER</span>
<a name="l00058"></a>00058 <span class="comment">            Specifies whether to test just for inifinity arithmetic</span>
<a name="l00059"></a>00059 <span class="comment">            or whether to test for infinity and NaN arithmetic.</span>
<a name="l00060"></a>00060 <span class="comment">            = 0: Verify infinity arithmetic only.</span>
<a name="l00061"></a>00061 <span class="comment">            = 1: Verify infinity and NaN arithmetic.</span>
<a name="l00062"></a>00062 <span class="comment"></span>
<a name="l00063"></a>00063 <span class="comment">    ZERO    (input) REAL</span>
<a name="l00064"></a>00064 <span class="comment">            Must contain the value 0.0</span>
<a name="l00065"></a>00065 <span class="comment">            This is passed to prevent the compiler from optimizing</span>
<a name="l00066"></a>00066 <span class="comment">            away this code.</span>
<a name="l00067"></a>00067 <span class="comment"></span>
<a name="l00068"></a>00068 <span class="comment">    ONE     (input) REAL</span>
<a name="l00069"></a>00069 <span class="comment">            Must contain the value 1.0</span>
<a name="l00070"></a>00070 <span class="comment">            This is passed to prevent the compiler from optimizing</span>
<a name="l00071"></a>00071 <span class="comment">            away this code.</span>
<a name="l00072"></a>00072 <span class="comment"></span>
<a name="l00073"></a>00073 <span class="comment">    RETURN VALUE:  INTEGER</span>
<a name="l00074"></a>00074 <span class="comment">            = 0:  Arithmetic failed to produce the correct answers</span>
<a name="l00075"></a>00075 <span class="comment">            = 1:  Arithmetic produced the correct answers</span>
<a name="l00076"></a>00076 <span class="comment">*/</span>
<a name="l00077"></a>00077 
<a name="l00078"></a>00078     ret_val = 1;
<a name="l00079"></a>00079 
<a name="l00080"></a>00080     posinf = *one / *zero;
<a name="l00081"></a>00081     <span class="keywordflow">if</span> (posinf &lt;= *one) {
<a name="l00082"></a>00082         ret_val = 0;
<a name="l00083"></a>00083         <span class="keywordflow">return</span> ret_val;
<a name="l00084"></a>00084     }
<a name="l00085"></a>00085 
<a name="l00086"></a>00086     neginf = -(*one) / *zero;
<a name="l00087"></a>00087     <span class="keywordflow">if</span> (neginf &gt;= *zero) {
<a name="l00088"></a>00088         ret_val = 0;
<a name="l00089"></a>00089         <span class="keywordflow">return</span> ret_val;
<a name="l00090"></a>00090     }
<a name="l00091"></a>00091 
<a name="l00092"></a>00092     negzro = *one / (neginf + *one);
<a name="l00093"></a>00093     <span class="keywordflow">if</span> (negzro != *zero) {
<a name="l00094"></a>00094         ret_val = 0;
<a name="l00095"></a>00095         <span class="keywordflow">return</span> ret_val;
<a name="l00096"></a>00096     }
<a name="l00097"></a>00097 
<a name="l00098"></a>00098     neginf = *one / negzro;
<a name="l00099"></a>00099     <span class="keywordflow">if</span> (neginf &gt;= *zero) {
<a name="l00100"></a>00100         ret_val = 0;
<a name="l00101"></a>00101         <span class="keywordflow">return</span> ret_val;
<a name="l00102"></a>00102     }
<a name="l00103"></a>00103 
<a name="l00104"></a>00104     newzro = negzro + *zero;
<a name="l00105"></a>00105     <span class="keywordflow">if</span> (newzro != *zero) {
<a name="l00106"></a>00106         ret_val = 0;
<a name="l00107"></a>00107         <span class="keywordflow">return</span> ret_val;
<a name="l00108"></a>00108     }
<a name="l00109"></a>00109 
<a name="l00110"></a>00110     posinf = *one / newzro;
<a name="l00111"></a>00111     <span class="keywordflow">if</span> (posinf &lt;= *one) {
<a name="l00112"></a>00112         ret_val = 0;
<a name="l00113"></a>00113         <span class="keywordflow">return</span> ret_val;
<a name="l00114"></a>00114     }
<a name="l00115"></a>00115 
<a name="l00116"></a>00116     neginf *= posinf;
<a name="l00117"></a>00117     <span class="keywordflow">if</span> (neginf &gt;= *zero) {
<a name="l00118"></a>00118         ret_val = 0;
<a name="l00119"></a>00119         <span class="keywordflow">return</span> ret_val;
<a name="l00120"></a>00120     }
<a name="l00121"></a>00121 
<a name="l00122"></a>00122     posinf *= posinf;
<a name="l00123"></a>00123     <span class="keywordflow">if</span> (posinf &lt;= *one) {
<a name="l00124"></a>00124         ret_val = 0;
<a name="l00125"></a>00125         <span class="keywordflow">return</span> ret_val;
<a name="l00126"></a>00126     }
<a name="l00127"></a>00127 
<a name="l00128"></a>00128 
<a name="l00129"></a>00129 <span class="comment">/*     Return if we were only asked to check infinity arithmetic */</span>
<a name="l00130"></a>00130 
<a name="l00131"></a>00131     <span class="keywordflow">if</span> (*ispec == 0) {
<a name="l00132"></a>00132         <span class="keywordflow">return</span> ret_val;
<a name="l00133"></a>00133     }
<a name="l00134"></a>00134 
<a name="l00135"></a>00135     nan1 = posinf + neginf;
<a name="l00136"></a>00136 
<a name="l00137"></a>00137     nan2 = posinf / neginf;
<a name="l00138"></a>00138 
<a name="l00139"></a>00139     nan3 = posinf / posinf;
<a name="l00140"></a>00140 
<a name="l00141"></a>00141     nan4 = posinf * *zero;
<a name="l00142"></a>00142 
<a name="l00143"></a>00143     nan5 = neginf * negzro;
<a name="l00144"></a>00144 
<a name="l00145"></a>00145     nan6 = nan5 * 0.f;
<a name="l00146"></a>00146 
<a name="l00147"></a>00147     <span class="keywordflow">if</span> (nan1 == nan1) {
<a name="l00148"></a>00148         ret_val = 0;
<a name="l00149"></a>00149         <span class="keywordflow">return</span> ret_val;
<a name="l00150"></a>00150     }
<a name="l00151"></a>00151 
<a name="l00152"></a>00152     <span class="keywordflow">if</span> (nan2 == nan2) {
<a name="l00153"></a>00153         ret_val = 0;
<a name="l00154"></a>00154         <span class="keywordflow">return</span> ret_val;
<a name="l00155"></a>00155     }
<a name="l00156"></a>00156 
<a name="l00157"></a>00157     <span class="keywordflow">if</span> (nan3 == nan3) {
<a name="l00158"></a>00158         ret_val = 0;
<a name="l00159"></a>00159         <span class="keywordflow">return</span> ret_val;
<a name="l00160"></a>00160     }
<a name="l00161"></a>00161 
<a name="l00162"></a>00162     <span class="keywordflow">if</span> (nan4 == nan4) {
<a name="l00163"></a>00163         ret_val = 0;
<a name="l00164"></a>00164         <span class="keywordflow">return</span> ret_val;
<a name="l00165"></a>00165     }
<a name="l00166"></a>00166 
<a name="l00167"></a>00167     <span class="keywordflow">if</span> (nan5 == nan5) {
<a name="l00168"></a>00168         ret_val = 0;
<a name="l00169"></a>00169         <span class="keywordflow">return</span> ret_val;
<a name="l00170"></a>00170     }
<a name="l00171"></a>00171 
<a name="l00172"></a>00172     <span class="keywordflow">if</span> (nan6 == nan6) {
<a name="l00173"></a>00173         ret_val = 0;
<a name="l00174"></a>00174         <span class="keywordflow">return</span> ret_val;
<a name="l00175"></a>00175     }
<a name="l00176"></a>00176 
<a name="l00177"></a>00177     <span class="keywordflow">return</span> ret_val;
<a name="l00178"></a>00178 } <span class="comment">/* ieeeck_ */</span>
<a name="l00179"></a>00179 
<a name="l00180"></a>00180 integer ilaenv_(integer *ispec, <span class="keywordtype">char</span> *name__, <span class="keywordtype">char</span> *opts, integer *n1,
<a name="l00181"></a>00181         integer *n2, integer *n3, integer *n4, ftnlen name_len, ftnlen
<a name="l00182"></a>00182         opts_len)
<a name="l00183"></a>00183 {
<a name="l00184"></a>00184     <span class="comment">/* System generated locals */</span>
<a name="l00185"></a>00185     integer ret_val;
<a name="l00186"></a>00186 
<a name="l00187"></a>00187     <span class="comment">/* Builtin functions */</span>
<a name="l00188"></a>00188     <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> s_copy(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *, ftnlen, ftnlen);
<a name="l00189"></a>00189     integer s_cmp(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *, ftnlen, ftnlen);
<a name="l00190"></a>00190 
<a name="l00191"></a>00191     <span class="comment">/* Local variables */</span>
<a name="l00192"></a>00192     <span class="keyword">static</span> integer i__;
<a name="l00193"></a>00193     <span class="keyword">static</span> <span class="keywordtype">char</span> c1[1], c2[2], c3[3], c4[2];
<a name="l00194"></a>00194     <span class="keyword">static</span> integer ic, nb, iz, nx;
<a name="l00195"></a>00195     <span class="keyword">static</span> logical cname, sname;
<a name="l00196"></a>00196     <span class="keyword">static</span> integer nbmin;
<a name="l00197"></a>00197     <span class="keyword">extern</span> integer ieeeck_(integer *, real *, real *);
<a name="l00198"></a>00198     <span class="keyword">static</span> <span class="keywordtype">char</span> subnam[6];
<a name="l00199"></a>00199 
<a name="l00200"></a>00200 
<a name="l00201"></a>00201 <span class="comment">/*</span>
<a name="l00202"></a>00202 <span class="comment">    -- LAPACK auxiliary routine (version 3.0) --</span>
<a name="l00203"></a>00203 <span class="comment">       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,</span>
<a name="l00204"></a>00204 <span class="comment">       Courant Institute, Argonne National Lab, and Rice University</span>
<a name="l00205"></a>00205 <span class="comment">       June 30, 1999</span>
<a name="l00206"></a>00206 <span class="comment"></span>
<a name="l00207"></a>00207 <span class="comment"></span>
<a name="l00208"></a>00208 <span class="comment">    Purpose</span>
<a name="l00209"></a>00209 <span class="comment">    =======</span>
<a name="l00210"></a>00210 <span class="comment"></span>
<a name="l00211"></a>00211 <span class="comment">    ILAENV is called from the LAPACK routines to choose problem-dependent</span>
<a name="l00212"></a>00212 <span class="comment">    parameters for the local environment.  See ISPEC for a description of</span>
<a name="l00213"></a>00213 <span class="comment">    the parameters.</span>
<a name="l00214"></a>00214 <span class="comment"></span>
<a name="l00215"></a>00215 <span class="comment">    This version provides a set of parameters which should give good,</span>
<a name="l00216"></a>00216 <span class="comment">    but not optimal, performance on many of the currently available</span>
<a name="l00217"></a>00217 <span class="comment">    computers.  Users are encouraged to modify this subroutine to set</span>
<a name="l00218"></a>00218 <span class="comment">    the tuning parameters for their particular machine using the option</span>
<a name="l00219"></a>00219 <span class="comment">    and problem size information in the arguments.</span>
<a name="l00220"></a>00220 <span class="comment"></span>
<a name="l00221"></a>00221 <span class="comment">    This routine will not function correctly if it is converted to all</span>
<a name="l00222"></a>00222 <span class="comment">    lower case.  Converting it to all upper case is allowed.</span>
<a name="l00223"></a>00223 <span class="comment"></span>
<a name="l00224"></a>00224 <span class="comment">    Arguments</span>
<a name="l00225"></a>00225 <span class="comment">    =========</span>
<a name="l00226"></a>00226 <span class="comment"></span>
<a name="l00227"></a>00227 <span class="comment">    ISPEC   (input) INTEGER</span>
<a name="l00228"></a>00228 <span class="comment">            Specifies the parameter to be returned as the value of</span>
<a name="l00229"></a>00229 <span class="comment">            ILAENV.</span>
<a name="l00230"></a>00230 <span class="comment">            = 1: the optimal blocksize; if this value is 1, an unblocked</span>
<a name="l00231"></a>00231 <span class="comment">                 algorithm will give the best performance.</span>
<a name="l00232"></a>00232 <span class="comment">            = 2: the minimum block size for which the block routine</span>
<a name="l00233"></a>00233 <span class="comment">                 should be used; if the usable block size is less than</span>
<a name="l00234"></a>00234 <span class="comment">                 this value, an unblocked routine should be used.</span>
<a name="l00235"></a>00235 <span class="comment">            = 3: the crossover point (in a block routine, for N less</span>
<a name="l00236"></a>00236 <span class="comment">                 than this value, an unblocked routine should be used)</span>
<a name="l00237"></a>00237 <span class="comment">            = 4: the number of shifts, used in the nonsymmetric</span>
<a name="l00238"></a>00238 <span class="comment">                 eigenvalue routines</span>
<a name="l00239"></a>00239 <span class="comment">            = 5: the minimum column dimension for blocking to be used;</span>
<a name="l00240"></a>00240 <span class="comment">                 rectangular blocks must have dimension at least k by m,</span>
<a name="l00241"></a>00241 <span class="comment">                 where k is given by ILAENV(2,...) and m by ILAENV(5,...)</span>
<a name="l00242"></a>00242 <span class="comment">            = 6: the crossover point for the SVD (when reducing an m by n</span>
<a name="l00243"></a>00243 <span class="comment">                 matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds</span>
<a name="l00244"></a>00244 <span class="comment">                 this value, a QR factorization is used first to reduce</span>
<a name="l00245"></a>00245 <span class="comment">                 the matrix to a triangular form.)</span>
<a name="l00246"></a>00246 <span class="comment">            = 7: the number of processors</span>
<a name="l00247"></a>00247 <span class="comment">            = 8: the crossover point for the multishift QR and QZ methods</span>
<a name="l00248"></a>00248 <span class="comment">                 for nonsymmetric eigenvalue problems.</span>
<a name="l00249"></a>00249 <span class="comment">            = 9: maximum size of the subproblems at the bottom of the</span>
<a name="l00250"></a>00250 <span class="comment">                 computation tree in the divide-and-conquer algorithm</span>
<a name="l00251"></a>00251 <span class="comment">                 (used by xGELSD and xGESDD)</span>
<a name="l00252"></a>00252 <span class="comment">            =10: ieee NaN arithmetic can be trusted not to trap</span>
<a name="l00253"></a>00253 <span class="comment">            =11: infinity arithmetic can be trusted not to trap</span>
<a name="l00254"></a>00254 <span class="comment"></span>
<a name="l00255"></a>00255 <span class="comment">    NAME    (input) CHARACTER*(*)</span>
<a name="l00256"></a>00256 <span class="comment">            The name of the calling subroutine, in either upper case or</span>
<a name="l00257"></a>00257 <span class="comment">            lower case.</span>
<a name="l00258"></a>00258 <span class="comment"></span>
<a name="l00259"></a>00259 <span class="comment">    OPTS    (input) CHARACTER*(*)</span>
<a name="l00260"></a>00260 <span class="comment">            The character options to the subroutine NAME, concatenated</span>
<a name="l00261"></a>00261 <span class="comment">            into a single character string.  For example, UPLO = &#39;U&#39;,</span>
<a name="l00262"></a>00262 <span class="comment">            TRANS = &#39;T&#39;, and DIAG = &#39;N&#39; for a triangular routine would</span>
<a name="l00263"></a>00263 <span class="comment">            be specified as OPTS = &#39;UTN&#39;.</span>
<a name="l00264"></a>00264 <span class="comment"></span>
<a name="l00265"></a>00265 <span class="comment">    N1      (input) INTEGER</span>
<a name="l00266"></a>00266 <span class="comment">    N2      (input) INTEGER</span>
<a name="l00267"></a>00267 <span class="comment">    N3      (input) INTEGER</span>
<a name="l00268"></a>00268 <span class="comment">    N4      (input) INTEGER</span>
<a name="l00269"></a>00269 <span class="comment">            Problem dimensions for the subroutine NAME; these may not all</span>
<a name="l00270"></a>00270 <span class="comment">            be required.</span>
<a name="l00271"></a>00271 <span class="comment"></span>
<a name="l00272"></a>00272 <span class="comment">   (ILAENV) (output) INTEGER</span>
<a name="l00273"></a>00273 <span class="comment">            &gt;= 0: the value of the parameter specified by ISPEC</span>
<a name="l00274"></a>00274 <span class="comment">            &lt; 0:  if ILAENV = -k, the k-th argument had an illegal value.</span>
<a name="l00275"></a>00275 <span class="comment"></span>
<a name="l00276"></a>00276 <span class="comment">    Further Details</span>
<a name="l00277"></a>00277 <span class="comment">    ===============</span>
<a name="l00278"></a>00278 <span class="comment"></span>
<a name="l00279"></a>00279 <span class="comment">    The following conventions have been used when calling ILAENV from the</span>
<a name="l00280"></a>00280 <span class="comment">    LAPACK routines:</span>
<a name="l00281"></a>00281 <span class="comment">    1)  OPTS is a concatenation of all of the character options to</span>
<a name="l00282"></a>00282 <span class="comment">        subroutine NAME, in the same order that they appear in the</span>
<a name="l00283"></a>00283 <span class="comment">        argument list for NAME, even if they are not used in determining</span>
<a name="l00284"></a>00284 <span class="comment">        the value of the parameter specified by ISPEC.</span>
<a name="l00285"></a>00285 <span class="comment">    2)  The problem dimensions N1, N2, N3, N4 are specified in the order</span>
<a name="l00286"></a>00286 <span class="comment">        that they appear in the argument list for NAME.  N1 is used</span>
<a name="l00287"></a>00287 <span class="comment">        first, N2 second, and so on, and unused problem dimensions are</span>
<a name="l00288"></a>00288 <span class="comment">        passed a value of -1.</span>
<a name="l00289"></a>00289 <span class="comment">    3)  The parameter value returned by ILAENV is checked for validity in</span>
<a name="l00290"></a>00290 <span class="comment">        the calling subroutine.  For example, ILAENV is used to retrieve</span>
<a name="l00291"></a>00291 <span class="comment">        the optimal blocksize for STRTRI as follows:</span>
<a name="l00292"></a>00292 <span class="comment"></span>
<a name="l00293"></a>00293 <span class="comment">        NB = ILAENV( 1, &#39;STRTRI&#39;, UPLO // DIAG, N, -1, -1, -1 )</span>
<a name="l00294"></a>00294 <span class="comment">        IF( NB.LE.1 ) NB = MAX( 1, N )</span>
<a name="l00295"></a>00295 <span class="comment"></span>
<a name="l00296"></a>00296 <span class="comment">    =====================================================================</span>
<a name="l00297"></a>00297 <span class="comment">*/</span>
<a name="l00298"></a>00298 
<a name="l00299"></a>00299 
<a name="l00300"></a>00300     <span class="keywordflow">switch</span> (*ispec) {
<a name="l00301"></a>00301         <span class="keywordflow">case</span> 1:  <span class="keywordflow">goto</span> L100;
<a name="l00302"></a>00302         <span class="keywordflow">case</span> 2:  <span class="keywordflow">goto</span> L100;
<a name="l00303"></a>00303         <span class="keywordflow">case</span> 3:  <span class="keywordflow">goto</span> L100;
<a name="l00304"></a>00304         <span class="keywordflow">case</span> 4:  <span class="keywordflow">goto</span> L400;
<a name="l00305"></a>00305         <span class="keywordflow">case</span> 5:  <span class="keywordflow">goto</span> L500;
<a name="l00306"></a>00306         <span class="keywordflow">case</span> 6:  <span class="keywordflow">goto</span> L600;
<a name="l00307"></a>00307         <span class="keywordflow">case</span> 7:  <span class="keywordflow">goto</span> L700;
<a name="l00308"></a>00308         <span class="keywordflow">case</span> 8:  <span class="keywordflow">goto</span> L800;
<a name="l00309"></a>00309         <span class="keywordflow">case</span> 9:  <span class="keywordflow">goto</span> L900;
<a name="l00310"></a>00310         <span class="keywordflow">case</span> 10:  <span class="keywordflow">goto</span> L1000;
<a name="l00311"></a>00311         <span class="keywordflow">case</span> 11:  <span class="keywordflow">goto</span> L1100;
<a name="l00312"></a>00312     }
<a name="l00313"></a>00313 
<a name="l00314"></a>00314 <span class="comment">/*     Invalid value for ISPEC */</span>
<a name="l00315"></a>00315 
<a name="l00316"></a>00316     ret_val = -1;
<a name="l00317"></a>00317     <span class="keywordflow">return</span> ret_val;
<a name="l00318"></a>00318 
<a name="l00319"></a>00319 L100:
<a name="l00320"></a>00320 
<a name="l00321"></a>00321 <span class="comment">/*     Convert NAME to upper case if the first character is lower case. */</span>
<a name="l00322"></a>00322 
<a name="l00323"></a>00323     ret_val = 1;
<a name="l00324"></a>00324     s_copy(subnam, name__, (ftnlen)6, name_len);
<a name="l00325"></a>00325     ic = *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)subnam;
<a name="l00326"></a>00326     iz = <span class="charliteral">&#39;Z&#39;</span>;
<a name="l00327"></a>00327     <span class="keywordflow">if</span> (iz == 90 || iz == 122) {
<a name="l00328"></a>00328 
<a name="l00329"></a>00329 <span class="comment">/*        ASCII character set */</span>
<a name="l00330"></a>00330 
<a name="l00331"></a>00331         <span class="keywordflow">if</span> (ic &gt;= 97 &amp;&amp; ic &lt;= 122) {
<a name="l00332"></a>00332             *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)subnam = (<span class="keywordtype">char</span>) (ic - 32);
<a name="l00333"></a>00333             <span class="keywordflow">for</span> (i__ = 2; i__ &lt;= 6; ++i__) {
<a name="l00334"></a>00334                 ic = *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)&amp;subnam[i__ - 1];
<a name="l00335"></a>00335                 <span class="keywordflow">if</span> (ic &gt;= 97 &amp;&amp; ic &lt;= 122) {
<a name="l00336"></a>00336                     *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)&amp;subnam[i__ - 1] = (<span class="keywordtype">char</span>) (ic - 32);
<a name="l00337"></a>00337                 }
<a name="l00338"></a>00338 <span class="comment">/* L10: */</span>
<a name="l00339"></a>00339             }
<a name="l00340"></a>00340         }
<a name="l00341"></a>00341 
<a name="l00342"></a>00342     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (iz == 233 || iz == 169) {
<a name="l00343"></a>00343 
<a name="l00344"></a>00344 <span class="comment">/*        EBCDIC character set */</span>
<a name="l00345"></a>00345 
<a name="l00346"></a>00346         <span class="keywordflow">if</span> (ic &gt;= 129 &amp;&amp; ic &lt;= 137 || ic &gt;= 145 &amp;&amp; ic &lt;= 153 || ic &gt;= 162 &amp;&amp;
<a name="l00347"></a>00347                 ic &lt;= 169) {
<a name="l00348"></a>00348             *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)subnam = (<span class="keywordtype">char</span>) (ic + 64);
<a name="l00349"></a>00349             <span class="keywordflow">for</span> (i__ = 2; i__ &lt;= 6; ++i__) {
<a name="l00350"></a>00350                 ic = *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)&amp;subnam[i__ - 1];
<a name="l00351"></a>00351                 <span class="keywordflow">if</span> (ic &gt;= 129 &amp;&amp; ic &lt;= 137 || ic &gt;= 145 &amp;&amp; ic &lt;= 153 || ic &gt;=
<a name="l00352"></a>00352                         162 &amp;&amp; ic &lt;= 169) {
<a name="l00353"></a>00353                     *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)&amp;subnam[i__ - 1] = (<span class="keywordtype">char</span>) (ic + 64);
<a name="l00354"></a>00354                 }
<a name="l00355"></a>00355 <span class="comment">/* L20: */</span>
<a name="l00356"></a>00356             }
<a name="l00357"></a>00357         }
<a name="l00358"></a>00358 
<a name="l00359"></a>00359     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (iz == 218 || iz == 250) {
<a name="l00360"></a>00360 
<a name="l00361"></a>00361 <span class="comment">/*        Prime machines:  ASCII+128 */</span>
<a name="l00362"></a>00362 
<a name="l00363"></a>00363         <span class="keywordflow">if</span> (ic &gt;= 225 &amp;&amp; ic &lt;= 250) {
<a name="l00364"></a>00364             *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)subnam = (<span class="keywordtype">char</span>) (ic - 32);
<a name="l00365"></a>00365             <span class="keywordflow">for</span> (i__ = 2; i__ &lt;= 6; ++i__) {
<a name="l00366"></a>00366                 ic = *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)&amp;subnam[i__ - 1];
<a name="l00367"></a>00367                 <span class="keywordflow">if</span> (ic &gt;= 225 &amp;&amp; ic &lt;= 250) {
<a name="l00368"></a>00368                     *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)&amp;subnam[i__ - 1] = (<span class="keywordtype">char</span>) (ic - 32);
<a name="l00369"></a>00369                 }
<a name="l00370"></a>00370 <span class="comment">/* L30: */</span>
<a name="l00371"></a>00371             }
<a name="l00372"></a>00372         }
<a name="l00373"></a>00373     }
<a name="l00374"></a>00374 
<a name="l00375"></a>00375     *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c1 = *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)subnam;
<a name="l00376"></a>00376     sname = *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c1 == <span class="charliteral">&#39;S&#39;</span> || *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c1 == <span class="charliteral">&#39;D&#39;</span>;
<a name="l00377"></a>00377     cname = *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c1 == <span class="charliteral">&#39;C&#39;</span> || *(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c1 == <span class="charliteral">&#39;Z&#39;</span>;
<a name="l00378"></a>00378     <span class="keywordflow">if</span> (! (cname || sname)) {
<a name="l00379"></a>00379         <span class="keywordflow">return</span> ret_val;
<a name="l00380"></a>00380     }
<a name="l00381"></a>00381     s_copy(c2, subnam + 1, (ftnlen)2, (ftnlen)2);
<a name="l00382"></a>00382     s_copy(c3, subnam + 3, (ftnlen)3, (ftnlen)3);
<a name="l00383"></a>00383     s_copy(c4, c3 + 1, (ftnlen)2, (ftnlen)2);
<a name="l00384"></a>00384 
<a name="l00385"></a>00385     <span class="keywordflow">switch</span> (*ispec) {
<a name="l00386"></a>00386         <span class="keywordflow">case</span> 1:  <span class="keywordflow">goto</span> L110;
<a name="l00387"></a>00387         <span class="keywordflow">case</span> 2:  <span class="keywordflow">goto</span> L200;
<a name="l00388"></a>00388         <span class="keywordflow">case</span> 3:  <span class="keywordflow">goto</span> L300;
<a name="l00389"></a>00389     }
<a name="l00390"></a>00390 
<a name="l00391"></a>00391 L110:
<a name="l00392"></a>00392 
<a name="l00393"></a>00393 <span class="comment">/*</span>
<a name="l00394"></a>00394 <span class="comment">       ISPEC = 1:  block size</span>
<a name="l00395"></a>00395 <span class="comment"></span>
<a name="l00396"></a>00396 <span class="comment">       In these examples, separate code is provided for setting NB for</span>
<a name="l00397"></a>00397 <span class="comment">       real and complex.  We assume that NB will take the same value in</span>
<a name="l00398"></a>00398 <span class="comment">       single or double precision.</span>
<a name="l00399"></a>00399 <span class="comment">*/</span>
<a name="l00400"></a>00400 
<a name="l00401"></a>00401     nb = 1;
<a name="l00402"></a>00402 
<a name="l00403"></a>00403     <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;GE&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00404"></a>00404         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00405"></a>00405             <span class="keywordflow">if</span> (sname) {
<a name="l00406"></a>00406                 nb = 64;
<a name="l00407"></a>00407             } <span class="keywordflow">else</span> {
<a name="l00408"></a>00408                 nb = 64;
<a name="l00409"></a>00409             }
<a name="l00410"></a>00410         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;QRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3,
<a name="l00411"></a>00411                 <span class="stringliteral">&quot;RQF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, <span class="stringliteral">&quot;LQF&quot;</span>, (ftnlen)
<a name="l00412"></a>00412                 3, (ftnlen)3) == 0 || s_cmp(c3, <span class="stringliteral">&quot;QLF&quot;</span>, (ftnlen)3, (ftnlen)3)
<a name="l00413"></a>00413                 == 0) {
<a name="l00414"></a>00414             <span class="keywordflow">if</span> (sname) {
<a name="l00415"></a>00415                 nb = 32;
<a name="l00416"></a>00416             } <span class="keywordflow">else</span> {
<a name="l00417"></a>00417                 nb = 32;
<a name="l00418"></a>00418             }
<a name="l00419"></a>00419         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;HRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00420"></a>00420             <span class="keywordflow">if</span> (sname) {
<a name="l00421"></a>00421                 nb = 32;
<a name="l00422"></a>00422             } <span class="keywordflow">else</span> {
<a name="l00423"></a>00423                 nb = 32;
<a name="l00424"></a>00424             }
<a name="l00425"></a>00425         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;BRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00426"></a>00426             <span class="keywordflow">if</span> (sname) {
<a name="l00427"></a>00427                 nb = 32;
<a name="l00428"></a>00428             } <span class="keywordflow">else</span> {
<a name="l00429"></a>00429                 nb = 32;
<a name="l00430"></a>00430             }
<a name="l00431"></a>00431         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRI&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00432"></a>00432             <span class="keywordflow">if</span> (sname) {
<a name="l00433"></a>00433                 nb = 64;
<a name="l00434"></a>00434             } <span class="keywordflow">else</span> {
<a name="l00435"></a>00435                 nb = 64;
<a name="l00436"></a>00436             }
<a name="l00437"></a>00437         }
<a name="l00438"></a>00438     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;PO&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00439"></a>00439         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00440"></a>00440             <span class="keywordflow">if</span> (sname) {
<a name="l00441"></a>00441                 nb = 64;
<a name="l00442"></a>00442             } <span class="keywordflow">else</span> {
<a name="l00443"></a>00443                 nb = 64;
<a name="l00444"></a>00444             }
<a name="l00445"></a>00445         }
<a name="l00446"></a>00446     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;SY&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00447"></a>00447         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00448"></a>00448             <span class="keywordflow">if</span> (sname) {
<a name="l00449"></a>00449                 nb = 64;
<a name="l00450"></a>00450             } <span class="keywordflow">else</span> {
<a name="l00451"></a>00451                 nb = 64;
<a name="l00452"></a>00452             }
<a name="l00453"></a>00453         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (sname &amp;&amp; s_cmp(c3, <span class="stringliteral">&quot;TRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00454"></a>00454             nb = 32;
<a name="l00455"></a>00455         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (sname &amp;&amp; s_cmp(c3, <span class="stringliteral">&quot;GST&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00456"></a>00456             nb = 64;
<a name="l00457"></a>00457         }
<a name="l00458"></a>00458     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (cname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;HE&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00459"></a>00459         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00460"></a>00460             nb = 64;
<a name="l00461"></a>00461         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00462"></a>00462             nb = 32;
<a name="l00463"></a>00463         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;GST&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00464"></a>00464             nb = 64;
<a name="l00465"></a>00465         }
<a name="l00466"></a>00466     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (sname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;OR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00467"></a>00467         <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;G&#39;</span>) {
<a name="l00468"></a>00468             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00469"></a>00469                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00470"></a>00470                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00471"></a>00471                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00472"></a>00472                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00473"></a>00473                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00474"></a>00474                 nb = 32;
<a name="l00475"></a>00475             }
<a name="l00476"></a>00476         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;M&#39;</span>) {
<a name="l00477"></a>00477             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00478"></a>00478                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00479"></a>00479                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00480"></a>00480                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00481"></a>00481                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00482"></a>00482                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00483"></a>00483                 nb = 32;
<a name="l00484"></a>00484             }
<a name="l00485"></a>00485         }
<a name="l00486"></a>00486     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (cname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;UN&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00487"></a>00487         <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;G&#39;</span>) {
<a name="l00488"></a>00488             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00489"></a>00489                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00490"></a>00490                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00491"></a>00491                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00492"></a>00492                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00493"></a>00493                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00494"></a>00494                 nb = 32;
<a name="l00495"></a>00495             }
<a name="l00496"></a>00496         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;M&#39;</span>) {
<a name="l00497"></a>00497             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00498"></a>00498                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00499"></a>00499                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00500"></a>00500                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00501"></a>00501                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00502"></a>00502                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00503"></a>00503                 nb = 32;
<a name="l00504"></a>00504             }
<a name="l00505"></a>00505         }
<a name="l00506"></a>00506     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;GB&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00507"></a>00507         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00508"></a>00508             <span class="keywordflow">if</span> (sname) {
<a name="l00509"></a>00509                 <span class="keywordflow">if</span> (*n4 &lt;= 64) {
<a name="l00510"></a>00510                     nb = 1;
<a name="l00511"></a>00511                 } <span class="keywordflow">else</span> {
<a name="l00512"></a>00512                     nb = 32;
<a name="l00513"></a>00513                 }
<a name="l00514"></a>00514             } <span class="keywordflow">else</span> {
<a name="l00515"></a>00515                 <span class="keywordflow">if</span> (*n4 &lt;= 64) {
<a name="l00516"></a>00516                     nb = 1;
<a name="l00517"></a>00517                 } <span class="keywordflow">else</span> {
<a name="l00518"></a>00518                     nb = 32;
<a name="l00519"></a>00519                 }
<a name="l00520"></a>00520             }
<a name="l00521"></a>00521         }
<a name="l00522"></a>00522     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;PB&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00523"></a>00523         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00524"></a>00524             <span class="keywordflow">if</span> (sname) {
<a name="l00525"></a>00525                 <span class="keywordflow">if</span> (*n2 &lt;= 64) {
<a name="l00526"></a>00526                     nb = 1;
<a name="l00527"></a>00527                 } <span class="keywordflow">else</span> {
<a name="l00528"></a>00528                     nb = 32;
<a name="l00529"></a>00529                 }
<a name="l00530"></a>00530             } <span class="keywordflow">else</span> {
<a name="l00531"></a>00531                 <span class="keywordflow">if</span> (*n2 &lt;= 64) {
<a name="l00532"></a>00532                     nb = 1;
<a name="l00533"></a>00533                 } <span class="keywordflow">else</span> {
<a name="l00534"></a>00534                     nb = 32;
<a name="l00535"></a>00535                 }
<a name="l00536"></a>00536             }
<a name="l00537"></a>00537         }
<a name="l00538"></a>00538     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00539"></a>00539         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRI&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00540"></a>00540             <span class="keywordflow">if</span> (sname) {
<a name="l00541"></a>00541                 nb = 64;
<a name="l00542"></a>00542             } <span class="keywordflow">else</span> {
<a name="l00543"></a>00543                 nb = 64;
<a name="l00544"></a>00544             }
<a name="l00545"></a>00545         }
<a name="l00546"></a>00546     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;LA&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00547"></a>00547         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;UUM&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00548"></a>00548             <span class="keywordflow">if</span> (sname) {
<a name="l00549"></a>00549                 nb = 64;
<a name="l00550"></a>00550             } <span class="keywordflow">else</span> {
<a name="l00551"></a>00551                 nb = 64;
<a name="l00552"></a>00552             }
<a name="l00553"></a>00553         }
<a name="l00554"></a>00554     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (sname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;ST&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00555"></a>00555         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;EBZ&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00556"></a>00556             nb = 1;
<a name="l00557"></a>00557         }
<a name="l00558"></a>00558     }
<a name="l00559"></a>00559     ret_val = nb;
<a name="l00560"></a>00560     <span class="keywordflow">return</span> ret_val;
<a name="l00561"></a>00561 
<a name="l00562"></a>00562 L200:
<a name="l00563"></a>00563 
<a name="l00564"></a>00564 <span class="comment">/*     ISPEC = 2:  minimum block size */</span>
<a name="l00565"></a>00565 
<a name="l00566"></a>00566     nbmin = 2;
<a name="l00567"></a>00567     <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;GE&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00568"></a>00568         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;QRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, <span class="stringliteral">&quot;RQF&quot;</span>, (
<a name="l00569"></a>00569                 ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, <span class="stringliteral">&quot;LQF&quot;</span>, (ftnlen)3, (
<a name="l00570"></a>00570                 ftnlen)3) == 0 || s_cmp(c3, <span class="stringliteral">&quot;QLF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0)
<a name="l00571"></a>00571                  {
<a name="l00572"></a>00572             <span class="keywordflow">if</span> (sname) {
<a name="l00573"></a>00573                 nbmin = 2;
<a name="l00574"></a>00574             } <span class="keywordflow">else</span> {
<a name="l00575"></a>00575                 nbmin = 2;
<a name="l00576"></a>00576             }
<a name="l00577"></a>00577         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;HRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00578"></a>00578             <span class="keywordflow">if</span> (sname) {
<a name="l00579"></a>00579                 nbmin = 2;
<a name="l00580"></a>00580             } <span class="keywordflow">else</span> {
<a name="l00581"></a>00581                 nbmin = 2;
<a name="l00582"></a>00582             }
<a name="l00583"></a>00583         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;BRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00584"></a>00584             <span class="keywordflow">if</span> (sname) {
<a name="l00585"></a>00585                 nbmin = 2;
<a name="l00586"></a>00586             } <span class="keywordflow">else</span> {
<a name="l00587"></a>00587                 nbmin = 2;
<a name="l00588"></a>00588             }
<a name="l00589"></a>00589         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRI&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00590"></a>00590             <span class="keywordflow">if</span> (sname) {
<a name="l00591"></a>00591                 nbmin = 2;
<a name="l00592"></a>00592             } <span class="keywordflow">else</span> {
<a name="l00593"></a>00593                 nbmin = 2;
<a name="l00594"></a>00594             }
<a name="l00595"></a>00595         }
<a name="l00596"></a>00596     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;SY&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00597"></a>00597         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00598"></a>00598             <span class="keywordflow">if</span> (sname) {
<a name="l00599"></a>00599                 nbmin = 8;
<a name="l00600"></a>00600             } <span class="keywordflow">else</span> {
<a name="l00601"></a>00601                 nbmin = 8;
<a name="l00602"></a>00602             }
<a name="l00603"></a>00603         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (sname &amp;&amp; s_cmp(c3, <span class="stringliteral">&quot;TRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00604"></a>00604             nbmin = 2;
<a name="l00605"></a>00605         }
<a name="l00606"></a>00606     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (cname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;HE&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00607"></a>00607         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00608"></a>00608             nbmin = 2;
<a name="l00609"></a>00609         }
<a name="l00610"></a>00610     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (sname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;OR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00611"></a>00611         <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;G&#39;</span>) {
<a name="l00612"></a>00612             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00613"></a>00613                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00614"></a>00614                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00615"></a>00615                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00616"></a>00616                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00617"></a>00617                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00618"></a>00618                 nbmin = 2;
<a name="l00619"></a>00619             }
<a name="l00620"></a>00620         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;M&#39;</span>) {
<a name="l00621"></a>00621             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00622"></a>00622                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00623"></a>00623                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00624"></a>00624                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00625"></a>00625                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00626"></a>00626                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00627"></a>00627                 nbmin = 2;
<a name="l00628"></a>00628             }
<a name="l00629"></a>00629         }
<a name="l00630"></a>00630     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (cname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;UN&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00631"></a>00631         <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;G&#39;</span>) {
<a name="l00632"></a>00632             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00633"></a>00633                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00634"></a>00634                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00635"></a>00635                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00636"></a>00636                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00637"></a>00637                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00638"></a>00638                 nbmin = 2;
<a name="l00639"></a>00639             }
<a name="l00640"></a>00640         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;M&#39;</span>) {
<a name="l00641"></a>00641             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00642"></a>00642                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00643"></a>00643                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00644"></a>00644                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00645"></a>00645                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00646"></a>00646                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00647"></a>00647                 nbmin = 2;
<a name="l00648"></a>00648             }
<a name="l00649"></a>00649         }
<a name="l00650"></a>00650     }
<a name="l00651"></a>00651     ret_val = nbmin;
<a name="l00652"></a>00652     <span class="keywordflow">return</span> ret_val;
<a name="l00653"></a>00653 
<a name="l00654"></a>00654 L300:
<a name="l00655"></a>00655 
<a name="l00656"></a>00656 <span class="comment">/*     ISPEC = 3:  crossover point */</span>
<a name="l00657"></a>00657 
<a name="l00658"></a>00658     nx = 0;
<a name="l00659"></a>00659     <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;GE&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00660"></a>00660         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;QRF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, <span class="stringliteral">&quot;RQF&quot;</span>, (
<a name="l00661"></a>00661                 ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, <span class="stringliteral">&quot;LQF&quot;</span>, (ftnlen)3, (
<a name="l00662"></a>00662                 ftnlen)3) == 0 || s_cmp(c3, <span class="stringliteral">&quot;QLF&quot;</span>, (ftnlen)3, (ftnlen)3) == 0)
<a name="l00663"></a>00663                  {
<a name="l00664"></a>00664             <span class="keywordflow">if</span> (sname) {
<a name="l00665"></a>00665                 nx = 128;
<a name="l00666"></a>00666             } <span class="keywordflow">else</span> {
<a name="l00667"></a>00667                 nx = 128;
<a name="l00668"></a>00668             }
<a name="l00669"></a>00669         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;HRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00670"></a>00670             <span class="keywordflow">if</span> (sname) {
<a name="l00671"></a>00671                 nx = 128;
<a name="l00672"></a>00672             } <span class="keywordflow">else</span> {
<a name="l00673"></a>00673                 nx = 128;
<a name="l00674"></a>00674             }
<a name="l00675"></a>00675         } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;BRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00676"></a>00676             <span class="keywordflow">if</span> (sname) {
<a name="l00677"></a>00677                 nx = 128;
<a name="l00678"></a>00678             } <span class="keywordflow">else</span> {
<a name="l00679"></a>00679                 nx = 128;
<a name="l00680"></a>00680             }
<a name="l00681"></a>00681         }
<a name="l00682"></a>00682     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (s_cmp(c2, <span class="stringliteral">&quot;SY&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00683"></a>00683         <span class="keywordflow">if</span> (sname &amp;&amp; s_cmp(c3, <span class="stringliteral">&quot;TRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00684"></a>00684             nx = 32;
<a name="l00685"></a>00685         }
<a name="l00686"></a>00686     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (cname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;HE&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00687"></a>00687         <span class="keywordflow">if</span> (s_cmp(c3, <span class="stringliteral">&quot;TRD&quot;</span>, (ftnlen)3, (ftnlen)3) == 0) {
<a name="l00688"></a>00688             nx = 32;
<a name="l00689"></a>00689         }
<a name="l00690"></a>00690     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (sname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;OR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00691"></a>00691         <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;G&#39;</span>) {
<a name="l00692"></a>00692             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00693"></a>00693                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00694"></a>00694                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00695"></a>00695                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00696"></a>00696                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00697"></a>00697                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00698"></a>00698                 nx = 128;
<a name="l00699"></a>00699             }
<a name="l00700"></a>00700         }
<a name="l00701"></a>00701     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (cname &amp;&amp; s_cmp(c2, <span class="stringliteral">&quot;UN&quot;</span>, (ftnlen)2, (ftnlen)2) == 0) {
<a name="l00702"></a>00702         <span class="keywordflow">if</span> (*(<span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *)c3 == <span class="charliteral">&#39;G&#39;</span>) {
<a name="l00703"></a>00703             <span class="keywordflow">if</span> (s_cmp(c4, <span class="stringliteral">&quot;QR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;RQ&quot;</span>,
<a name="l00704"></a>00704                     (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;LQ&quot;</span>, (ftnlen)2, (
<a name="l00705"></a>00705                     ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;QL&quot;</span>, (ftnlen)2, (ftnlen)2) ==
<a name="l00706"></a>00706                      0 || s_cmp(c4, <span class="stringliteral">&quot;HR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(
<a name="l00707"></a>00707                     c4, <span class="stringliteral">&quot;TR&quot;</span>, (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, <span class="stringliteral">&quot;BR&quot;</span>, (
<a name="l00708"></a>00708                     ftnlen)2, (ftnlen)2) == 0) {
<a name="l00709"></a>00709                 nx = 128;
<a name="l00710"></a>00710             }
<a name="l00711"></a>00711         }
<a name="l00712"></a>00712     }
<a name="l00713"></a>00713     ret_val = nx;
<a name="l00714"></a>00714     <span class="keywordflow">return</span> ret_val;
<a name="l00715"></a>00715 
<a name="l00716"></a>00716 L400:
<a name="l00717"></a>00717 
<a name="l00718"></a>00718 <span class="comment">/*     ISPEC = 4:  number of shifts (used by xHSEQR) */</span>
<a name="l00719"></a>00719 
<a name="l00720"></a>00720     ret_val = 6;
<a name="l00721"></a>00721     <span class="keywordflow">return</span> ret_val;
<a name="l00722"></a>00722 
<a name="l00723"></a>00723 L500:
<a name="l00724"></a>00724 
<a name="l00725"></a>00725 <span class="comment">/*     ISPEC = 5:  minimum column dimension (not used) */</span>
<a name="l00726"></a>00726 
<a name="l00727"></a>00727     ret_val = 2;
<a name="l00728"></a>00728     <span class="keywordflow">return</span> ret_val;
<a name="l00729"></a>00729 
<a name="l00730"></a>00730 L600:
<a name="l00731"></a>00731 
<a name="l00732"></a>00732 <span class="comment">/*     ISPEC = 6:  crossover point for SVD (used by xGELSS and xGESVD) */</span>
<a name="l00733"></a>00733 
<a name="l00734"></a>00734     ret_val = (integer) ((real) min(*n1,*n2) * 1.6f);
<a name="l00735"></a>00735     <span class="keywordflow">return</span> ret_val;
<a name="l00736"></a>00736 
<a name="l00737"></a>00737 L700:
<a name="l00738"></a>00738 
<a name="l00739"></a>00739 <span class="comment">/*     ISPEC = 7:  number of processors (not used) */</span>
<a name="l00740"></a>00740 
<a name="l00741"></a>00741     ret_val = 1;
<a name="l00742"></a>00742     <span class="keywordflow">return</span> ret_val;
<a name="l00743"></a>00743 
<a name="l00744"></a>00744 L800:
<a name="l00745"></a>00745 
<a name="l00746"></a>00746 <span class="comment">/*     ISPEC = 8:  crossover point for multishift (used by xHSEQR) */</span>
<a name="l00747"></a>00747 
<a name="l00748"></a>00748     ret_val = 50;
<a name="l00749"></a>00749     <span class="keywordflow">return</span> ret_val;
<a name="l00750"></a>00750 
<a name="l00751"></a>00751 L900:
<a name="l00752"></a>00752 
<a name="l00753"></a>00753 <span class="comment">/*</span>
<a name="l00754"></a>00754 <span class="comment">       ISPEC = 9:  maximum size of the subproblems at the bottom of the</span>
<a name="l00755"></a>00755 <span class="comment">                   computation tree in the divide-and-conquer algorithm</span>
<a name="l00756"></a>00756 <span class="comment">                   (used by xGELSD and xGESDD)</span>
<a name="l00757"></a>00757 <span class="comment">*/</span>
<a name="l00758"></a>00758 
<a name="l00759"></a>00759     ret_val = 25;
<a name="l00760"></a>00760     <span class="keywordflow">return</span> ret_val;
<a name="l00761"></a>00761 
<a name="l00762"></a>00762 L1000:
<a name="l00763"></a>00763 
<a name="l00764"></a>00764 <span class="comment">/*</span>
<a name="l00765"></a>00765 <span class="comment">       ISPEC = 10: ieee NaN arithmetic can be trusted not to trap</span>
<a name="l00766"></a>00766 <span class="comment"></span>
<a name="l00767"></a>00767 <span class="comment">       ILAENV = 0</span>
<a name="l00768"></a>00768 <span class="comment">*/</span>
<a name="l00769"></a>00769     ret_val = 1;
<a name="l00770"></a>00770     <span class="keywordflow">if</span> (ret_val == 1) {
<a name="l00771"></a>00771         ret_val = ieeeck_(&amp;c__0, &amp;c_b163, &amp;c_b164);
<a name="l00772"></a>00772     }
<a name="l00773"></a>00773     <span class="keywordflow">return</span> ret_val;
<a name="l00774"></a>00774 
<a name="l00775"></a>00775 L1100:
<a name="l00776"></a>00776 
<a name="l00777"></a>00777 <span class="comment">/*</span>
<a name="l00778"></a>00778 <span class="comment">       ISPEC = 11: infinity arithmetic can be trusted not to trap</span>
<a name="l00779"></a>00779 <span class="comment"></span>
<a name="l00780"></a>00780 <span class="comment">       ILAENV = 0</span>
<a name="l00781"></a>00781 <span class="comment">*/</span>
<a name="l00782"></a>00782     ret_val = 1;
<a name="l00783"></a>00783     <span class="keywordflow">if</span> (ret_val == 1) {
<a name="l00784"></a>00784         ret_val = ieeeck_(&amp;c__1, &amp;c_b163, &amp;c_b164);
<a name="l00785"></a>00785     }
<a name="l00786"></a>00786     <span class="keywordflow">return</span> ret_val;
<a name="l00787"></a>00787 
<a name="l00788"></a>00788 <span class="comment">/*     End of ILAENV */</span>
<a name="l00789"></a>00789 
<a name="l00790"></a>00790 } <span class="comment">/* ilaenv_ */</span>
<a name="l00791"></a>00791 
<a name="l00792"></a>00792 <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> sposv_(<span class="keywordtype">char</span> *uplo, integer *n, integer *nrhs, real *a,
<a name="l00793"></a>00793         integer *lda, real *b, integer *ldb, integer *info)
<a name="l00794"></a>00794 {
<a name="l00795"></a>00795     <span class="comment">/* System generated locals */</span>
<a name="l00796"></a>00796     integer a_dim1, a_offset, b_dim1, b_offset, i__1;
<a name="l00797"></a>00797 
<a name="l00798"></a>00798     <span class="comment">/* Local variables */</span>
<a name="l00799"></a>00799     <span class="keyword">extern</span> logical lsame_(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *);
<a name="l00800"></a>00800     <span class="keyword">extern</span> <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> xerbla_(<span class="keywordtype">char</span> *, integer *), spotrf_(
<a name="l00801"></a>00801             <span class="keywordtype">char</span> *, integer *, real *, integer *, integer *), spotrs_(
<a name="l00802"></a>00802             <span class="keywordtype">char</span> *, integer *, integer *, real *, integer *, real *, integer *
<a name="l00803"></a>00803             , integer *);
<a name="l00804"></a>00804 
<a name="l00805"></a>00805 
<a name="l00806"></a>00806 <span class="comment">/*</span>
<a name="l00807"></a>00807 <span class="comment">    -- LAPACK driver routine (version 3.0) --</span>
<a name="l00808"></a>00808 <span class="comment">       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,</span>
<a name="l00809"></a>00809 <span class="comment">       Courant Institute, Argonne National Lab, and Rice University</span>
<a name="l00810"></a>00810 <span class="comment">       March 31, 1993</span>
<a name="l00811"></a>00811 <span class="comment"></span>
<a name="l00812"></a>00812 <span class="comment"></span>
<a name="l00813"></a>00813 <span class="comment">    Purpose</span>
<a name="l00814"></a>00814 <span class="comment">    =======</span>
<a name="l00815"></a>00815 <span class="comment"></span>
<a name="l00816"></a>00816 <span class="comment">    SPOSV computes the solution to a real system of linear equations</span>
<a name="l00817"></a>00817 <span class="comment">       A * X = B,</span>
<a name="l00818"></a>00818 <span class="comment">    where A is an N-by-N symmetric positive definite matrix and X and B</span>
<a name="l00819"></a>00819 <span class="comment">    are N-by-NRHS matrices.</span>
<a name="l00820"></a>00820 <span class="comment"></span>
<a name="l00821"></a>00821 <span class="comment">    The Cholesky decomposition is used to factor A as</span>
<a name="l00822"></a>00822 <span class="comment">       A = U**T* U,  if UPLO = &#39;U&#39;, or</span>
<a name="l00823"></a>00823 <span class="comment">       A = L * L**T,  if UPLO = &#39;L&#39;,</span>
<a name="l00824"></a>00824 <span class="comment">    where U is an upper triangular matrix and L is a lower triangular</span>
<a name="l00825"></a>00825 <span class="comment">    matrix.  The factored form of A is then used to solve the system of</span>
<a name="l00826"></a>00826 <span class="comment">    equations A * X = B.</span>
<a name="l00827"></a>00827 <span class="comment"></span>
<a name="l00828"></a>00828 <span class="comment">    Arguments</span>
<a name="l00829"></a>00829 <span class="comment">    =========</span>
<a name="l00830"></a>00830 <span class="comment"></span>
<a name="l00831"></a>00831 <span class="comment">    UPLO    (input) CHARACTER*1</span>
<a name="l00832"></a>00832 <span class="comment">            = &#39;U&#39;:  Upper triangle of A is stored;</span>
<a name="l00833"></a>00833 <span class="comment">            = &#39;L&#39;:  Lower triangle of A is stored.</span>
<a name="l00834"></a>00834 <span class="comment"></span>
<a name="l00835"></a>00835 <span class="comment">    N       (input) INTEGER</span>
<a name="l00836"></a>00836 <span class="comment">            The number of linear equations, i.e., the order of the</span>
<a name="l00837"></a>00837 <span class="comment">            matrix A.  N &gt;= 0.</span>
<a name="l00838"></a>00838 <span class="comment"></span>
<a name="l00839"></a>00839 <span class="comment">    NRHS    (input) INTEGER</span>
<a name="l00840"></a>00840 <span class="comment">            The number of right hand sides, i.e., the number of columns</span>
<a name="l00841"></a>00841 <span class="comment">            of the matrix B.  NRHS &gt;= 0.</span>
<a name="l00842"></a>00842 <span class="comment"></span>
<a name="l00843"></a>00843 <span class="comment">    A       (input/output) REAL array, dimension (LDA,N)</span>
<a name="l00844"></a>00844 <span class="comment">            On entry, the symmetric matrix A.  If UPLO = &#39;U&#39;, the leading</span>
<a name="l00845"></a>00845 <span class="comment">            N-by-N upper triangular part of A contains the upper</span>
<a name="l00846"></a>00846 <span class="comment">            triangular part of the matrix A, and the strictly lower</span>
<a name="l00847"></a>00847 <span class="comment">            triangular part of A is not referenced.  If UPLO = &#39;L&#39;, the</span>
<a name="l00848"></a>00848 <span class="comment">            leading N-by-N lower triangular part of A contains the lower</span>
<a name="l00849"></a>00849 <span class="comment">            triangular part of the matrix A, and the strictly upper</span>
<a name="l00850"></a>00850 <span class="comment">            triangular part of A is not referenced.</span>
<a name="l00851"></a>00851 <span class="comment"></span>
<a name="l00852"></a>00852 <span class="comment">            On exit, if INFO = 0, the factor U or L from the Cholesky</span>
<a name="l00853"></a>00853 <span class="comment">            factorization A = U**T*U or A = L*L**T.</span>
<a name="l00854"></a>00854 <span class="comment"></span>
<a name="l00855"></a>00855 <span class="comment">    LDA     (input) INTEGER</span>
<a name="l00856"></a>00856 <span class="comment">            The leading dimension of the array A.  LDA &gt;= max(1,N).</span>
<a name="l00857"></a>00857 <span class="comment"></span>
<a name="l00858"></a>00858 <span class="comment">    B       (input/output) REAL array, dimension (LDB,NRHS)</span>
<a name="l00859"></a>00859 <span class="comment">            On entry, the N-by-NRHS right hand side matrix B.</span>
<a name="l00860"></a>00860 <span class="comment">            On exit, if INFO = 0, the N-by-NRHS solution matrix X.</span>
<a name="l00861"></a>00861 <span class="comment"></span>
<a name="l00862"></a>00862 <span class="comment">    LDB     (input) INTEGER</span>
<a name="l00863"></a>00863 <span class="comment">            The leading dimension of the array B.  LDB &gt;= max(1,N).</span>
<a name="l00864"></a>00864 <span class="comment"></span>
<a name="l00865"></a>00865 <span class="comment">    INFO    (output) INTEGER</span>
<a name="l00866"></a>00866 <span class="comment">            = 0:  successful exit</span>
<a name="l00867"></a>00867 <span class="comment">            &lt; 0:  if INFO = -i, the i-th argument had an illegal value</span>
<a name="l00868"></a>00868 <span class="comment">            &gt; 0:  if INFO = i, the leading minor of order i of A is not</span>
<a name="l00869"></a>00869 <span class="comment">                  positive definite, so the factorization could not be</span>
<a name="l00870"></a>00870 <span class="comment">                  completed, and the solution has not been computed.</span>
<a name="l00871"></a>00871 <span class="comment"></span>
<a name="l00872"></a>00872 <span class="comment">    =====================================================================</span>
<a name="l00873"></a>00873 <span class="comment"></span>
<a name="l00874"></a>00874 <span class="comment"></span>
<a name="l00875"></a>00875 <span class="comment">       Test the input parameters.</span>
<a name="l00876"></a>00876 <span class="comment">*/</span>
<a name="l00877"></a>00877 
<a name="l00878"></a>00878     <span class="comment">/* Parameter adjustments */</span>
<a name="l00879"></a>00879     a_dim1 = *lda;
<a name="l00880"></a>00880     a_offset = 1 + a_dim1;
<a name="l00881"></a>00881     a -= a_offset;
<a name="l00882"></a>00882     b_dim1 = *ldb;
<a name="l00883"></a>00883     b_offset = 1 + b_dim1;
<a name="l00884"></a>00884     b -= b_offset;
<a name="l00885"></a>00885 
<a name="l00886"></a>00886     <span class="comment">/* Function Body */</span>
<a name="l00887"></a>00887     *info = 0;
<a name="l00888"></a>00888     <span class="keywordflow">if</span> (! lsame_(uplo, <span class="stringliteral">&quot;U&quot;</span>) &amp;&amp; ! lsame_(uplo, <span class="stringliteral">&quot;L&quot;</span>)) {
<a name="l00889"></a>00889         *info = -1;
<a name="l00890"></a>00890     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*n &lt; 0) {
<a name="l00891"></a>00891         *info = -2;
<a name="l00892"></a>00892     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*nrhs &lt; 0) {
<a name="l00893"></a>00893         *info = -3;
<a name="l00894"></a>00894     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*lda &lt; max(1,*n)) {
<a name="l00895"></a>00895         *info = -5;
<a name="l00896"></a>00896     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*ldb &lt; max(1,*n)) {
<a name="l00897"></a>00897         *info = -7;
<a name="l00898"></a>00898     }
<a name="l00899"></a>00899     <span class="keywordflow">if</span> (*info != 0) {
<a name="l00900"></a>00900         i__1 = -(*info);
<a name="l00901"></a>00901         xerbla_(<span class="stringliteral">&quot;SPOSV &quot;</span>, &amp;i__1);
<a name="l00902"></a>00902         <span class="keywordflow">return</span> 0;
<a name="l00903"></a>00903     }
<a name="l00904"></a>00904 
<a name="l00905"></a>00905 <span class="comment">/*     Compute the Cholesky factorization A = U&#39;*U or A = L*L&#39;. */</span>
<a name="l00906"></a>00906 
<a name="l00907"></a>00907     spotrf_(uplo, n, &amp;a[a_offset], lda, info);
<a name="l00908"></a>00908     <span class="keywordflow">if</span> (*info == 0) {
<a name="l00909"></a>00909 
<a name="l00910"></a>00910 <span class="comment">/*        Solve the system A*X = B, overwriting B with X. */</span>
<a name="l00911"></a>00911 
<a name="l00912"></a>00912         spotrs_(uplo, n, nrhs, &amp;a[a_offset], lda, &amp;b[b_offset], ldb, info);
<a name="l00913"></a>00913 
<a name="l00914"></a>00914     }
<a name="l00915"></a>00915     <span class="keywordflow">return</span> 0;
<a name="l00916"></a>00916 
<a name="l00917"></a>00917 <span class="comment">/*     End of SPOSV */</span>
<a name="l00918"></a>00918 
<a name="l00919"></a>00919 } <span class="comment">/* sposv_ */</span>
<a name="l00920"></a>00920 
<a name="l00921"></a>00921 <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> spotf2_(<span class="keywordtype">char</span> *uplo, integer *n, real *a, integer *lda,
<a name="l00922"></a>00922         integer *info)
<a name="l00923"></a>00923 {
<a name="l00924"></a>00924     <span class="comment">/* System generated locals */</span>
<a name="l00925"></a>00925     integer a_dim1, a_offset, i__1, i__2, i__3;
<a name="l00926"></a>00926     real r__1;
<a name="l00927"></a>00927 
<a name="l00928"></a>00928     <span class="comment">/* Builtin functions */</span>
<a name="l00929"></a>00929     <span class="keywordtype">double</span> sqrt(doublereal);
<a name="l00930"></a>00930 
<a name="l00931"></a>00931     <span class="comment">/* Local variables */</span>
<a name="l00932"></a>00932     <span class="keyword">static</span> integer j;
<a name="l00933"></a>00933     <span class="keyword">static</span> real ajj;
<a name="l00934"></a>00934     <span class="keyword">extern</span> doublereal sdot_(integer *, real *, integer *, real *, integer *);
<a name="l00935"></a>00935     <span class="keyword">extern</span> logical lsame_(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *);
<a name="l00936"></a>00936     <span class="keyword">extern</span> <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> sscal_(integer *, real *, real *, integer *),
<a name="l00937"></a>00937             sgemv_(<span class="keywordtype">char</span> *, integer *, integer *, real *, real *, integer *,
<a name="l00938"></a>00938             real *, integer *, real *, real *, integer *);
<a name="l00939"></a>00939     <span class="keyword">static</span> logical upper;
<a name="l00940"></a>00940     <span class="keyword">extern</span> <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> xerbla_(<span class="keywordtype">char</span> *, integer *);
<a name="l00941"></a>00941 
<a name="l00942"></a>00942 
<a name="l00943"></a>00943 <span class="comment">/*</span>
<a name="l00944"></a>00944 <span class="comment">    -- LAPACK routine (version 3.0) --</span>
<a name="l00945"></a>00945 <span class="comment">       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,</span>
<a name="l00946"></a>00946 <span class="comment">       Courant Institute, Argonne National Lab, and Rice University</span>
<a name="l00947"></a>00947 <span class="comment">       February 29, 1992</span>
<a name="l00948"></a>00948 <span class="comment"></span>
<a name="l00949"></a>00949 <span class="comment"></span>
<a name="l00950"></a>00950 <span class="comment">    Purpose</span>
<a name="l00951"></a>00951 <span class="comment">    =======</span>
<a name="l00952"></a>00952 <span class="comment"></span>
<a name="l00953"></a>00953 <span class="comment">    SPOTF2 computes the Cholesky factorization of a real symmetric</span>
<a name="l00954"></a>00954 <span class="comment">    positive definite matrix A.</span>
<a name="l00955"></a>00955 <span class="comment"></span>
<a name="l00956"></a>00956 <span class="comment">    The factorization has the form</span>
<a name="l00957"></a>00957 <span class="comment">       A = U&#39; * U ,  if UPLO = &#39;U&#39;, or</span>
<a name="l00958"></a>00958 <span class="comment">       A = L  * L&#39;,  if UPLO = &#39;L&#39;,</span>
<a name="l00959"></a>00959 <span class="comment">    where U is an upper triangular matrix and L is lower triangular.</span>
<a name="l00960"></a>00960 <span class="comment"></span>
<a name="l00961"></a>00961 <span class="comment">    This is the unblocked version of the algorithm, calling Level 2 BLAS.</span>
<a name="l00962"></a>00962 <span class="comment"></span>
<a name="l00963"></a>00963 <span class="comment">    Arguments</span>
<a name="l00964"></a>00964 <span class="comment">    =========</span>
<a name="l00965"></a>00965 <span class="comment"></span>
<a name="l00966"></a>00966 <span class="comment">    UPLO    (input) CHARACTER*1</span>
<a name="l00967"></a>00967 <span class="comment">            Specifies whether the upper or lower triangular part of the</span>
<a name="l00968"></a>00968 <span class="comment">            symmetric matrix A is stored.</span>
<a name="l00969"></a>00969 <span class="comment">            = &#39;U&#39;:  Upper triangular</span>
<a name="l00970"></a>00970 <span class="comment">            = &#39;L&#39;:  Lower triangular</span>
<a name="l00971"></a>00971 <span class="comment"></span>
<a name="l00972"></a>00972 <span class="comment">    N       (input) INTEGER</span>
<a name="l00973"></a>00973 <span class="comment">            The order of the matrix A.  N &gt;= 0.</span>
<a name="l00974"></a>00974 <span class="comment"></span>
<a name="l00975"></a>00975 <span class="comment">    A       (input/output) REAL array, dimension (LDA,N)</span>
<a name="l00976"></a>00976 <span class="comment">            On entry, the symmetric matrix A.  If UPLO = &#39;U&#39;, the leading</span>
<a name="l00977"></a>00977 <span class="comment">            n by n upper triangular part of A contains the upper</span>
<a name="l00978"></a>00978 <span class="comment">            triangular part of the matrix A, and the strictly lower</span>
<a name="l00979"></a>00979 <span class="comment">            triangular part of A is not referenced.  If UPLO = &#39;L&#39;, the</span>
<a name="l00980"></a>00980 <span class="comment">            leading n by n lower triangular part of A contains the lower</span>
<a name="l00981"></a>00981 <span class="comment">            triangular part of the matrix A, and the strictly upper</span>
<a name="l00982"></a>00982 <span class="comment">            triangular part of A is not referenced.</span>
<a name="l00983"></a>00983 <span class="comment"></span>
<a name="l00984"></a>00984 <span class="comment">            On exit, if INFO = 0, the factor U or L from the Cholesky</span>
<a name="l00985"></a>00985 <span class="comment">            factorization A = U&#39;*U  or A = L*L&#39;.</span>
<a name="l00986"></a>00986 <span class="comment"></span>
<a name="l00987"></a>00987 <span class="comment">    LDA     (input) INTEGER</span>
<a name="l00988"></a>00988 <span class="comment">            The leading dimension of the array A.  LDA &gt;= max(1,N).</span>
<a name="l00989"></a>00989 <span class="comment"></span>
<a name="l00990"></a>00990 <span class="comment">    INFO    (output) INTEGER</span>
<a name="l00991"></a>00991 <span class="comment">            = 0: successful exit</span>
<a name="l00992"></a>00992 <span class="comment">            &lt; 0: if INFO = -k, the k-th argument had an illegal value</span>
<a name="l00993"></a>00993 <span class="comment">            &gt; 0: if INFO = k, the leading minor of order k is not</span>
<a name="l00994"></a>00994 <span class="comment">                 positive definite, and the factorization could not be</span>
<a name="l00995"></a>00995 <span class="comment">                 completed.</span>
<a name="l00996"></a>00996 <span class="comment"></span>
<a name="l00997"></a>00997 <span class="comment">    =====================================================================</span>
<a name="l00998"></a>00998 <span class="comment"></span>
<a name="l00999"></a>00999 <span class="comment"></span>
<a name="l01000"></a>01000 <span class="comment">       Test the input parameters.</span>
<a name="l01001"></a>01001 <span class="comment">*/</span>
<a name="l01002"></a>01002 
<a name="l01003"></a>01003     <span class="comment">/* Parameter adjustments */</span>
<a name="l01004"></a>01004     a_dim1 = *lda;
<a name="l01005"></a>01005     a_offset = 1 + a_dim1;
<a name="l01006"></a>01006     a -= a_offset;
<a name="l01007"></a>01007 
<a name="l01008"></a>01008     <span class="comment">/* Function Body */</span>
<a name="l01009"></a>01009     *info = 0;
<a name="l01010"></a>01010     upper = lsame_(uplo, <span class="stringliteral">&quot;U&quot;</span>);
<a name="l01011"></a>01011     <span class="keywordflow">if</span> (! upper &amp;&amp; ! lsame_(uplo, <span class="stringliteral">&quot;L&quot;</span>)) {
<a name="l01012"></a>01012         *info = -1;
<a name="l01013"></a>01013     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*n &lt; 0) {
<a name="l01014"></a>01014         *info = -2;
<a name="l01015"></a>01015     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*lda &lt; max(1,*n)) {
<a name="l01016"></a>01016         *info = -4;
<a name="l01017"></a>01017     }
<a name="l01018"></a>01018     <span class="keywordflow">if</span> (*info != 0) {
<a name="l01019"></a>01019         i__1 = -(*info);
<a name="l01020"></a>01020         xerbla_(<span class="stringliteral">&quot;SPOTF2&quot;</span>, &amp;i__1);
<a name="l01021"></a>01021         <span class="keywordflow">return</span> 0;
<a name="l01022"></a>01022     }
<a name="l01023"></a>01023 
<a name="l01024"></a>01024 <span class="comment">/*     Quick return if possible */</span>
<a name="l01025"></a>01025 
<a name="l01026"></a>01026     <span class="keywordflow">if</span> (*n == 0) {
<a name="l01027"></a>01027         <span class="keywordflow">return</span> 0;
<a name="l01028"></a>01028     }
<a name="l01029"></a>01029 
<a name="l01030"></a>01030     <span class="keywordflow">if</span> (upper) {
<a name="l01031"></a>01031 
<a name="l01032"></a>01032 <span class="comment">/*        Compute the Cholesky factorization A = U&#39;*U. */</span>
<a name="l01033"></a>01033 
<a name="l01034"></a>01034         i__1 = *n;
<a name="l01035"></a>01035         <span class="keywordflow">for</span> (j = 1; j &lt;= i__1; ++j) {
<a name="l01036"></a>01036 
<a name="l01037"></a>01037 <span class="comment">/*           Compute U(J,J) and test for non-positive-definiteness. */</span>
<a name="l01038"></a>01038 
<a name="l01039"></a>01039             i__2 = j - 1;
<a name="l01040"></a>01040             ajj = a[j + j * a_dim1] - sdot_(&amp;i__2, &amp;a[j * a_dim1 + 1], &amp;c__1,
<a name="l01041"></a>01041                     &amp;a[j * a_dim1 + 1], &amp;c__1);
<a name="l01042"></a>01042             <span class="keywordflow">if</span> (ajj &lt;= 0.f) {
<a name="l01043"></a>01043                 a[j + j * a_dim1] = ajj;
<a name="l01044"></a>01044                 <span class="keywordflow">goto</span> L30;
<a name="l01045"></a>01045             }
<a name="l01046"></a>01046             ajj = sqrt(ajj);
<a name="l01047"></a>01047             a[j + j * a_dim1] = ajj;
<a name="l01048"></a>01048 
<a name="l01049"></a>01049 <span class="comment">/*           Compute elements J+1:N of row J. */</span>
<a name="l01050"></a>01050 
<a name="l01051"></a>01051             <span class="keywordflow">if</span> (j &lt; *n) {
<a name="l01052"></a>01052                 i__2 = j - 1;
<a name="l01053"></a>01053                 i__3 = *n - j;
<a name="l01054"></a>01054                 sgemv_(<span class="stringliteral">&quot;Transpose&quot;</span>, &amp;i__2, &amp;i__3, &amp;c_b181, &amp;a[(j + 1) *
<a name="l01055"></a>01055                         a_dim1 + 1], lda, &amp;a[j * a_dim1 + 1], &amp;c__1, &amp;c_b164,
<a name="l01056"></a>01056                         &amp;a[j + (j + 1) * a_dim1], lda);
<a name="l01057"></a>01057                 i__2 = *n - j;
<a name="l01058"></a>01058                 r__1 = 1.f / ajj;
<a name="l01059"></a>01059                 sscal_(&amp;i__2, &amp;r__1, &amp;a[j + (j + 1) * a_dim1], lda);
<a name="l01060"></a>01060             }
<a name="l01061"></a>01061 <span class="comment">/* L10: */</span>
<a name="l01062"></a>01062         }
<a name="l01063"></a>01063     } <span class="keywordflow">else</span> {
<a name="l01064"></a>01064 
<a name="l01065"></a>01065 <span class="comment">/*        Compute the Cholesky factorization A = L*L&#39;. */</span>
<a name="l01066"></a>01066 
<a name="l01067"></a>01067         i__1 = *n;
<a name="l01068"></a>01068         <span class="keywordflow">for</span> (j = 1; j &lt;= i__1; ++j) {
<a name="l01069"></a>01069 
<a name="l01070"></a>01070 <span class="comment">/*           Compute L(J,J) and test for non-positive-definiteness. */</span>
<a name="l01071"></a>01071 
<a name="l01072"></a>01072             i__2 = j - 1;
<a name="l01073"></a>01073             ajj = a[j + j * a_dim1] - sdot_(&amp;i__2, &amp;a[j + a_dim1], lda, &amp;a[j
<a name="l01074"></a>01074                     + a_dim1], lda);
<a name="l01075"></a>01075             <span class="keywordflow">if</span> (ajj &lt;= 0.f) {
<a name="l01076"></a>01076                 a[j + j * a_dim1] = ajj;
<a name="l01077"></a>01077                 <span class="keywordflow">goto</span> L30;
<a name="l01078"></a>01078             }
<a name="l01079"></a>01079             ajj = sqrt(ajj);
<a name="l01080"></a>01080             a[j + j * a_dim1] = ajj;
<a name="l01081"></a>01081 
<a name="l01082"></a>01082 <span class="comment">/*           Compute elements J+1:N of column J. */</span>
<a name="l01083"></a>01083 
<a name="l01084"></a>01084             <span class="keywordflow">if</span> (j &lt; *n) {
<a name="l01085"></a>01085                 i__2 = *n - j;
<a name="l01086"></a>01086                 i__3 = j - 1;
<a name="l01087"></a>01087                 sgemv_(<span class="stringliteral">&quot;No transpose&quot;</span>, &amp;i__2, &amp;i__3, &amp;c_b181, &amp;a[j + 1 +
<a name="l01088"></a>01088                         a_dim1], lda, &amp;a[j + a_dim1], lda, &amp;c_b164, &amp;a[j + 1
<a name="l01089"></a>01089                         + j * a_dim1], &amp;c__1);
<a name="l01090"></a>01090                 i__2 = *n - j;
<a name="l01091"></a>01091                 r__1 = 1.f / ajj;
<a name="l01092"></a>01092                 sscal_(&amp;i__2, &amp;r__1, &amp;a[j + 1 + j * a_dim1], &amp;c__1);
<a name="l01093"></a>01093             }
<a name="l01094"></a>01094 <span class="comment">/* L20: */</span>
<a name="l01095"></a>01095         }
<a name="l01096"></a>01096     }
<a name="l01097"></a>01097     <span class="keywordflow">goto</span> L40;
<a name="l01098"></a>01098 
<a name="l01099"></a>01099 L30:
<a name="l01100"></a>01100     *info = j;
<a name="l01101"></a>01101 
<a name="l01102"></a>01102 L40:
<a name="l01103"></a>01103     <span class="keywordflow">return</span> 0;
<a name="l01104"></a>01104 
<a name="l01105"></a>01105 <span class="comment">/*     End of SPOTF2 */</span>
<a name="l01106"></a>01106 
<a name="l01107"></a>01107 } <span class="comment">/* spotf2_ */</span>
<a name="l01108"></a>01108 
<a name="l01109"></a>01109 <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> spotrf_(<span class="keywordtype">char</span> *uplo, integer *n, real *a, integer *lda,
<a name="l01110"></a>01110         integer *info)
<a name="l01111"></a>01111 {
<a name="l01112"></a>01112     <span class="comment">/* System generated locals */</span>
<a name="l01113"></a>01113     integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
<a name="l01114"></a>01114 
<a name="l01115"></a>01115     <span class="comment">/* Local variables */</span>
<a name="l01116"></a>01116     <span class="keyword">static</span> integer j, jb, nb;
<a name="l01117"></a>01117     <span class="keyword">extern</span> logical lsame_(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *);
<a name="l01118"></a>01118     <span class="keyword">extern</span> <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> sgemm_(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *, integer *, integer *,
<a name="l01119"></a>01119             integer *, real *, real *, integer *, real *, integer *, real *,
<a name="l01120"></a>01120             real *, integer *);
<a name="l01121"></a>01121     <span class="keyword">static</span> logical upper;
<a name="l01122"></a>01122     <span class="keyword">extern</span> <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> strsm_(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *,
<a name="l01123"></a>01123             integer *, integer *, real *, real *, integer *, real *, integer *
<a name="l01124"></a>01124             ), ssyrk_(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *, integer
<a name="l01125"></a>01125             *, integer *, real *, real *, integer *, real *, real *, integer *
<a name="l01126"></a>01126             ), spotf2_(<span class="keywordtype">char</span> *, integer *, real *, integer *,
<a name="l01127"></a>01127             integer *), xerbla_(<span class="keywordtype">char</span> *, integer *);
<a name="l01128"></a>01128     <span class="keyword">extern</span> integer ilaenv_(integer *, <span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *, integer *, integer *,
<a name="l01129"></a>01129             integer *, integer *, ftnlen, ftnlen);
<a name="l01130"></a>01130 
<a name="l01131"></a>01131 
<a name="l01132"></a>01132 <span class="comment">/*</span>
<a name="l01133"></a>01133 <span class="comment">    -- LAPACK routine (version 3.0) --</span>
<a name="l01134"></a>01134 <span class="comment">       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,</span>
<a name="l01135"></a>01135 <span class="comment">       Courant Institute, Argonne National Lab, and Rice University</span>
<a name="l01136"></a>01136 <span class="comment">       March 31, 1993</span>
<a name="l01137"></a>01137 <span class="comment"></span>
<a name="l01138"></a>01138 <span class="comment"></span>
<a name="l01139"></a>01139 <span class="comment">    Purpose</span>
<a name="l01140"></a>01140 <span class="comment">    =======</span>
<a name="l01141"></a>01141 <span class="comment"></span>
<a name="l01142"></a>01142 <span class="comment">    SPOTRF computes the Cholesky factorization of a real symmetric</span>
<a name="l01143"></a>01143 <span class="comment">    positive definite matrix A.</span>
<a name="l01144"></a>01144 <span class="comment"></span>
<a name="l01145"></a>01145 <span class="comment">    The factorization has the form</span>
<a name="l01146"></a>01146 <span class="comment">       A = U**T * U,  if UPLO = &#39;U&#39;, or</span>
<a name="l01147"></a>01147 <span class="comment">       A = L  * L**T,  if UPLO = &#39;L&#39;,</span>
<a name="l01148"></a>01148 <span class="comment">    where U is an upper triangular matrix and L is lower triangular.</span>
<a name="l01149"></a>01149 <span class="comment"></span>
<a name="l01150"></a>01150 <span class="comment">    This is the block version of the algorithm, calling Level 3 BLAS.</span>
<a name="l01151"></a>01151 <span class="comment"></span>
<a name="l01152"></a>01152 <span class="comment">    Arguments</span>
<a name="l01153"></a>01153 <span class="comment">    =========</span>
<a name="l01154"></a>01154 <span class="comment"></span>
<a name="l01155"></a>01155 <span class="comment">    UPLO    (input) CHARACTER*1</span>
<a name="l01156"></a>01156 <span class="comment">            = &#39;U&#39;:  Upper triangle of A is stored;</span>
<a name="l01157"></a>01157 <span class="comment">            = &#39;L&#39;:  Lower triangle of A is stored.</span>
<a name="l01158"></a>01158 <span class="comment"></span>
<a name="l01159"></a>01159 <span class="comment">    N       (input) INTEGER</span>
<a name="l01160"></a>01160 <span class="comment">            The order of the matrix A.  N &gt;= 0.</span>
<a name="l01161"></a>01161 <span class="comment"></span>
<a name="l01162"></a>01162 <span class="comment">    A       (input/output) REAL array, dimension (LDA,N)</span>
<a name="l01163"></a>01163 <span class="comment">            On entry, the symmetric matrix A.  If UPLO = &#39;U&#39;, the leading</span>
<a name="l01164"></a>01164 <span class="comment">            N-by-N upper triangular part of A contains the upper</span>
<a name="l01165"></a>01165 <span class="comment">            triangular part of the matrix A, and the strictly lower</span>
<a name="l01166"></a>01166 <span class="comment">            triangular part of A is not referenced.  If UPLO = &#39;L&#39;, the</span>
<a name="l01167"></a>01167 <span class="comment">            leading N-by-N lower triangular part of A contains the lower</span>
<a name="l01168"></a>01168 <span class="comment">            triangular part of the matrix A, and the strictly upper</span>
<a name="l01169"></a>01169 <span class="comment">            triangular part of A is not referenced.</span>
<a name="l01170"></a>01170 <span class="comment"></span>
<a name="l01171"></a>01171 <span class="comment">            On exit, if INFO = 0, the factor U or L from the Cholesky</span>
<a name="l01172"></a>01172 <span class="comment">            factorization A = U**T*U or A = L*L**T.</span>
<a name="l01173"></a>01173 <span class="comment"></span>
<a name="l01174"></a>01174 <span class="comment">    LDA     (input) INTEGER</span>
<a name="l01175"></a>01175 <span class="comment">            The leading dimension of the array A.  LDA &gt;= max(1,N).</span>
<a name="l01176"></a>01176 <span class="comment"></span>
<a name="l01177"></a>01177 <span class="comment">    INFO    (output) INTEGER</span>
<a name="l01178"></a>01178 <span class="comment">            = 0:  successful exit</span>
<a name="l01179"></a>01179 <span class="comment">            &lt; 0:  if INFO = -i, the i-th argument had an illegal value</span>
<a name="l01180"></a>01180 <span class="comment">            &gt; 0:  if INFO = i, the leading minor of order i is not</span>
<a name="l01181"></a>01181 <span class="comment">                  positive definite, and the factorization could not be</span>
<a name="l01182"></a>01182 <span class="comment">                  completed.</span>
<a name="l01183"></a>01183 <span class="comment"></span>
<a name="l01184"></a>01184 <span class="comment">    =====================================================================</span>
<a name="l01185"></a>01185 <span class="comment"></span>
<a name="l01186"></a>01186 <span class="comment"></span>
<a name="l01187"></a>01187 <span class="comment">       Test the input parameters.</span>
<a name="l01188"></a>01188 <span class="comment">*/</span>
<a name="l01189"></a>01189 
<a name="l01190"></a>01190     <span class="comment">/* Parameter adjustments */</span>
<a name="l01191"></a>01191     a_dim1 = *lda;
<a name="l01192"></a>01192     a_offset = 1 + a_dim1;
<a name="l01193"></a>01193     a -= a_offset;
<a name="l01194"></a>01194 
<a name="l01195"></a>01195     <span class="comment">/* Function Body */</span>
<a name="l01196"></a>01196     *info = 0;
<a name="l01197"></a>01197     upper = lsame_(uplo, <span class="stringliteral">&quot;U&quot;</span>);
<a name="l01198"></a>01198     <span class="keywordflow">if</span> (! upper &amp;&amp; ! lsame_(uplo, <span class="stringliteral">&quot;L&quot;</span>)) {
<a name="l01199"></a>01199         *info = -1;
<a name="l01200"></a>01200     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*n &lt; 0) {
<a name="l01201"></a>01201         *info = -2;
<a name="l01202"></a>01202     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*lda &lt; max(1,*n)) {
<a name="l01203"></a>01203         *info = -4;
<a name="l01204"></a>01204     }
<a name="l01205"></a>01205     <span class="keywordflow">if</span> (*info != 0) {
<a name="l01206"></a>01206         i__1 = -(*info);
<a name="l01207"></a>01207         xerbla_(<span class="stringliteral">&quot;SPOTRF&quot;</span>, &amp;i__1);
<a name="l01208"></a>01208         <span class="keywordflow">return</span> 0;
<a name="l01209"></a>01209     }
<a name="l01210"></a>01210 
<a name="l01211"></a>01211 <span class="comment">/*     Quick return if possible */</span>
<a name="l01212"></a>01212 
<a name="l01213"></a>01213     <span class="keywordflow">if</span> (*n == 0) {
<a name="l01214"></a>01214         <span class="keywordflow">return</span> 0;
<a name="l01215"></a>01215     }
<a name="l01216"></a>01216 
<a name="l01217"></a>01217 <span class="comment">/*     Determine the block size for this environment. */</span>
<a name="l01218"></a>01218 
<a name="l01219"></a>01219     nb = ilaenv_(&amp;c__1, <span class="stringliteral">&quot;SPOTRF&quot;</span>, uplo, n, &amp;c_n1, &amp;c_n1, &amp;c_n1, (ftnlen)6, (
<a name="l01220"></a>01220             ftnlen)1);
<a name="l01221"></a>01221     <span class="keywordflow">if</span> (nb &lt;= 1 || nb &gt;= *n) {
<a name="l01222"></a>01222 
<a name="l01223"></a>01223 <span class="comment">/*        Use unblocked code. */</span>
<a name="l01224"></a>01224 
<a name="l01225"></a>01225         spotf2_(uplo, n, &amp;a[a_offset], lda, info);
<a name="l01226"></a>01226     } <span class="keywordflow">else</span> {
<a name="l01227"></a>01227 
<a name="l01228"></a>01228 <span class="comment">/*        Use blocked code. */</span>
<a name="l01229"></a>01229 
<a name="l01230"></a>01230         <span class="keywordflow">if</span> (upper) {
<a name="l01231"></a>01231 
<a name="l01232"></a>01232 <span class="comment">/*           Compute the Cholesky factorization A = U&#39;*U. */</span>
<a name="l01233"></a>01233 
<a name="l01234"></a>01234             i__1 = *n;
<a name="l01235"></a>01235             i__2 = nb;
<a name="l01236"></a>01236             <span class="keywordflow">for</span> (j = 1; i__2 &lt; 0 ? j &gt;= i__1 : j &lt;= i__1; j += i__2) {
<a name="l01237"></a>01237 
<a name="l01238"></a>01238 <span class="comment">/*</span>
<a name="l01239"></a>01239 <span class="comment">                Update and factorize the current diagonal block and test</span>
<a name="l01240"></a>01240 <span class="comment">                for non-positive-definiteness.</span>
<a name="l01241"></a>01241 <span class="comment"></span>
<a name="l01242"></a>01242 <span class="comment">   Computing MIN</span>
<a name="l01243"></a>01243 <span class="comment">*/</span>
<a name="l01244"></a>01244                 i__3 = nb, i__4 = *n - j + 1;
<a name="l01245"></a>01245                 jb = min(i__3,i__4);
<a name="l01246"></a>01246                 i__3 = j - 1;
<a name="l01247"></a>01247                 ssyrk_(<span class="stringliteral">&quot;Upper&quot;</span>, <span class="stringliteral">&quot;Transpose&quot;</span>, &amp;jb, &amp;i__3, &amp;c_b181, &amp;a[j *
<a name="l01248"></a>01248                         a_dim1 + 1], lda, &amp;c_b164, &amp;a[j + j * a_dim1], lda);
<a name="l01249"></a>01249                 spotf2_(<span class="stringliteral">&quot;Upper&quot;</span>, &amp;jb, &amp;a[j + j * a_dim1], lda, info);
<a name="l01250"></a>01250                 <span class="keywordflow">if</span> (*info != 0) {
<a name="l01251"></a>01251                     <span class="keywordflow">goto</span> L30;
<a name="l01252"></a>01252                 }
<a name="l01253"></a>01253                 <span class="keywordflow">if</span> (j + jb &lt;= *n) {
<a name="l01254"></a>01254 
<a name="l01255"></a>01255 <span class="comment">/*                 Compute the current block row. */</span>
<a name="l01256"></a>01256 
<a name="l01257"></a>01257                     i__3 = *n - j - jb + 1;
<a name="l01258"></a>01258                     i__4 = j - 1;
<a name="l01259"></a>01259                     sgemm_(<span class="stringliteral">&quot;Transpose&quot;</span>, <span class="stringliteral">&quot;No transpose&quot;</span>, &amp;jb, &amp;i__3, &amp;i__4, &amp;
<a name="l01260"></a>01260                             c_b181, &amp;a[j * a_dim1 + 1], lda, &amp;a[(j + jb) *
<a name="l01261"></a>01261                             a_dim1 + 1], lda, &amp;c_b164, &amp;a[j + (j + jb) *
<a name="l01262"></a>01262                             a_dim1], lda);
<a name="l01263"></a>01263                     i__3 = *n - j - jb + 1;
<a name="l01264"></a>01264                     strsm_(<span class="stringliteral">&quot;Left&quot;</span>, <span class="stringliteral">&quot;Upper&quot;</span>, <span class="stringliteral">&quot;Transpose&quot;</span>, <span class="stringliteral">&quot;Non-unit&quot;</span>, &amp;jb, &amp;
<a name="l01265"></a>01265                             i__3, &amp;c_b164, &amp;a[j + j * a_dim1], lda, &amp;a[j + (j
<a name="l01266"></a>01266                             + jb) * a_dim1], lda);
<a name="l01267"></a>01267                 }
<a name="l01268"></a>01268 <span class="comment">/* L10: */</span>
<a name="l01269"></a>01269             }
<a name="l01270"></a>01270 
<a name="l01271"></a>01271         } <span class="keywordflow">else</span> {
<a name="l01272"></a>01272 
<a name="l01273"></a>01273 <span class="comment">/*           Compute the Cholesky factorization A = L*L&#39;. */</span>
<a name="l01274"></a>01274 
<a name="l01275"></a>01275             i__2 = *n;
<a name="l01276"></a>01276             i__1 = nb;
<a name="l01277"></a>01277             <span class="keywordflow">for</span> (j = 1; i__1 &lt; 0 ? j &gt;= i__2 : j &lt;= i__2; j += i__1) {
<a name="l01278"></a>01278 
<a name="l01279"></a>01279 <span class="comment">/*</span>
<a name="l01280"></a>01280 <span class="comment">                Update and factorize the current diagonal block and test</span>
<a name="l01281"></a>01281 <span class="comment">                for non-positive-definiteness.</span>
<a name="l01282"></a>01282 <span class="comment"></span>
<a name="l01283"></a>01283 <span class="comment">   Computing MIN</span>
<a name="l01284"></a>01284 <span class="comment">*/</span>
<a name="l01285"></a>01285                 i__3 = nb, i__4 = *n - j + 1;
<a name="l01286"></a>01286                 jb = min(i__3,i__4);
<a name="l01287"></a>01287                 i__3 = j - 1;
<a name="l01288"></a>01288                 ssyrk_(<span class="stringliteral">&quot;Lower&quot;</span>, <span class="stringliteral">&quot;No transpose&quot;</span>, &amp;jb, &amp;i__3, &amp;c_b181, &amp;a[j +
<a name="l01289"></a>01289                         a_dim1], lda, &amp;c_b164, &amp;a[j + j * a_dim1], lda);
<a name="l01290"></a>01290                 spotf2_(<span class="stringliteral">&quot;Lower&quot;</span>, &amp;jb, &amp;a[j + j * a_dim1], lda, info);
<a name="l01291"></a>01291                 <span class="keywordflow">if</span> (*info != 0) {
<a name="l01292"></a>01292                     <span class="keywordflow">goto</span> L30;
<a name="l01293"></a>01293                 }
<a name="l01294"></a>01294                 <span class="keywordflow">if</span> (j + jb &lt;= *n) {
<a name="l01295"></a>01295 
<a name="l01296"></a>01296 <span class="comment">/*                 Compute the current block column. */</span>
<a name="l01297"></a>01297 
<a name="l01298"></a>01298                     i__3 = *n - j - jb + 1;
<a name="l01299"></a>01299                     i__4 = j - 1;
<a name="l01300"></a>01300                     sgemm_(<span class="stringliteral">&quot;No transpose&quot;</span>, <span class="stringliteral">&quot;Transpose&quot;</span>, &amp;i__3, &amp;jb, &amp;i__4, &amp;
<a name="l01301"></a>01301                             c_b181, &amp;a[j + jb + a_dim1], lda, &amp;a[j + a_dim1],
<a name="l01302"></a>01302                             lda, &amp;c_b164, &amp;a[j + jb + j * a_dim1], lda);
<a name="l01303"></a>01303                     i__3 = *n - j - jb + 1;
<a name="l01304"></a>01304                     strsm_(<span class="stringliteral">&quot;Right&quot;</span>, <span class="stringliteral">&quot;Lower&quot;</span>, <span class="stringliteral">&quot;Transpose&quot;</span>, <span class="stringliteral">&quot;Non-unit&quot;</span>, &amp;i__3, &amp;
<a name="l01305"></a>01305                             jb, &amp;c_b164, &amp;a[j + j * a_dim1], lda, &amp;a[j + jb +
<a name="l01306"></a>01306                             j * a_dim1], lda);
<a name="l01307"></a>01307                 }
<a name="l01308"></a>01308 <span class="comment">/* L20: */</span>
<a name="l01309"></a>01309             }
<a name="l01310"></a>01310         }
<a name="l01311"></a>01311     }
<a name="l01312"></a>01312     <span class="keywordflow">goto</span> L40;
<a name="l01313"></a>01313 
<a name="l01314"></a>01314 L30:
<a name="l01315"></a>01315     *info = *info + j - 1;
<a name="l01316"></a>01316 
<a name="l01317"></a>01317 L40:
<a name="l01318"></a>01318     <span class="keywordflow">return</span> 0;
<a name="l01319"></a>01319 
<a name="l01320"></a>01320 <span class="comment">/*     End of SPOTRF */</span>
<a name="l01321"></a>01321 
<a name="l01322"></a>01322 } <span class="comment">/* spotrf_ */</span>
<a name="l01323"></a>01323 
<a name="l01324"></a>01324 <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> spotrs_(<span class="keywordtype">char</span> *uplo, integer *n, integer *nrhs, real *a,
<a name="l01325"></a>01325         integer *lda, real *b, integer *ldb, integer *info)
<a name="l01326"></a>01326 {
<a name="l01327"></a>01327     <span class="comment">/* System generated locals */</span>
<a name="l01328"></a>01328     integer a_dim1, a_offset, b_dim1, b_offset, i__1;
<a name="l01329"></a>01329 
<a name="l01330"></a>01330     <span class="comment">/* Local variables */</span>
<a name="l01331"></a>01331     <span class="keyword">extern</span> logical lsame_(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *);
<a name="l01332"></a>01332     <span class="keyword">static</span> logical upper;
<a name="l01333"></a>01333     <span class="keyword">extern</span> <span class="comment">/* Subroutine */</span> <span class="keywordtype">int</span> strsm_(<span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *, <span class="keywordtype">char</span> *,
<a name="l01334"></a>01334             integer *, integer *, real *, real *, integer *, real *, integer *
<a name="l01335"></a>01335             ), xerbla_(<span class="keywordtype">char</span> *, integer *);
<a name="l01336"></a>01336 
<a name="l01337"></a>01337 
<a name="l01338"></a>01338 <span class="comment">/*</span>
<a name="l01339"></a>01339 <span class="comment">    -- LAPACK routine (version 3.0) --</span>
<a name="l01340"></a>01340 <span class="comment">       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,</span>
<a name="l01341"></a>01341 <span class="comment">       Courant Institute, Argonne National Lab, and Rice University</span>
<a name="l01342"></a>01342 <span class="comment">       March 31, 1993</span>
<a name="l01343"></a>01343 <span class="comment"></span>
<a name="l01344"></a>01344 <span class="comment"></span>
<a name="l01345"></a>01345 <span class="comment">    Purpose</span>
<a name="l01346"></a>01346 <span class="comment">    =======</span>
<a name="l01347"></a>01347 <span class="comment"></span>
<a name="l01348"></a>01348 <span class="comment">    SPOTRS solves a system of linear equations A*X = B with a symmetric</span>
<a name="l01349"></a>01349 <span class="comment">    positive definite matrix A using the Cholesky factorization</span>
<a name="l01350"></a>01350 <span class="comment">    A = U**T*U or A = L*L**T computed by SPOTRF.</span>
<a name="l01351"></a>01351 <span class="comment"></span>
<a name="l01352"></a>01352 <span class="comment">    Arguments</span>
<a name="l01353"></a>01353 <span class="comment">    =========</span>
<a name="l01354"></a>01354 <span class="comment"></span>
<a name="l01355"></a>01355 <span class="comment">    UPLO    (input) CHARACTER*1</span>
<a name="l01356"></a>01356 <span class="comment">            = &#39;U&#39;:  Upper triangle of A is stored;</span>
<a name="l01357"></a>01357 <span class="comment">            = &#39;L&#39;:  Lower triangle of A is stored.</span>
<a name="l01358"></a>01358 <span class="comment"></span>
<a name="l01359"></a>01359 <span class="comment">    N       (input) INTEGER</span>
<a name="l01360"></a>01360 <span class="comment">            The order of the matrix A.  N &gt;= 0.</span>
<a name="l01361"></a>01361 <span class="comment"></span>
<a name="l01362"></a>01362 <span class="comment">    NRHS    (input) INTEGER</span>
<a name="l01363"></a>01363 <span class="comment">            The number of right hand sides, i.e., the number of columns</span>
<a name="l01364"></a>01364 <span class="comment">            of the matrix B.  NRHS &gt;= 0.</span>
<a name="l01365"></a>01365 <span class="comment"></span>
<a name="l01366"></a>01366 <span class="comment">    A       (input) REAL array, dimension (LDA,N)</span>
<a name="l01367"></a>01367 <span class="comment">            The triangular factor U or L from the Cholesky factorization</span>
<a name="l01368"></a>01368 <span class="comment">            A = U**T*U or A = L*L**T, as computed by SPOTRF.</span>
<a name="l01369"></a>01369 <span class="comment"></span>
<a name="l01370"></a>01370 <span class="comment">    LDA     (input) INTEGER</span>
<a name="l01371"></a>01371 <span class="comment">            The leading dimension of the array A.  LDA &gt;= max(1,N).</span>
<a name="l01372"></a>01372 <span class="comment"></span>
<a name="l01373"></a>01373 <span class="comment">    B       (input/output) REAL array, dimension (LDB,NRHS)</span>
<a name="l01374"></a>01374 <span class="comment">            On entry, the right hand side matrix B.</span>
<a name="l01375"></a>01375 <span class="comment">            On exit, the solution matrix X.</span>
<a name="l01376"></a>01376 <span class="comment"></span>
<a name="l01377"></a>01377 <span class="comment">    LDB     (input) INTEGER</span>
<a name="l01378"></a>01378 <span class="comment">            The leading dimension of the array B.  LDB &gt;= max(1,N).</span>
<a name="l01379"></a>01379 <span class="comment"></span>
<a name="l01380"></a>01380 <span class="comment">    INFO    (output) INTEGER</span>
<a name="l01381"></a>01381 <span class="comment">            = 0:  successful exit</span>
<a name="l01382"></a>01382 <span class="comment">            &lt; 0:  if INFO = -i, the i-th argument had an illegal value</span>
<a name="l01383"></a>01383 <span class="comment"></span>
<a name="l01384"></a>01384 <span class="comment">    =====================================================================</span>
<a name="l01385"></a>01385 <span class="comment"></span>
<a name="l01386"></a>01386 <span class="comment"></span>
<a name="l01387"></a>01387 <span class="comment">       Test the input parameters.</span>
<a name="l01388"></a>01388 <span class="comment">*/</span>
<a name="l01389"></a>01389 
<a name="l01390"></a>01390     <span class="comment">/* Parameter adjustments */</span>
<a name="l01391"></a>01391     a_dim1 = *lda;
<a name="l01392"></a>01392     a_offset = 1 + a_dim1;
<a name="l01393"></a>01393     a -= a_offset;
<a name="l01394"></a>01394     b_dim1 = *ldb;
<a name="l01395"></a>01395     b_offset = 1 + b_dim1;
<a name="l01396"></a>01396     b -= b_offset;
<a name="l01397"></a>01397 
<a name="l01398"></a>01398     <span class="comment">/* Function Body */</span>
<a name="l01399"></a>01399     *info = 0;
<a name="l01400"></a>01400     upper = lsame_(uplo, <span class="stringliteral">&quot;U&quot;</span>);
<a name="l01401"></a>01401     <span class="keywordflow">if</span> (! upper &amp;&amp; ! lsame_(uplo, <span class="stringliteral">&quot;L&quot;</span>)) {
<a name="l01402"></a>01402         *info = -1;
<a name="l01403"></a>01403     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*n &lt; 0) {
<a name="l01404"></a>01404         *info = -2;
<a name="l01405"></a>01405     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*nrhs &lt; 0) {
<a name="l01406"></a>01406         *info = -3;
<a name="l01407"></a>01407     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*lda &lt; max(1,*n)) {
<a name="l01408"></a>01408         *info = -5;
<a name="l01409"></a>01409     } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*ldb &lt; max(1,*n)) {
<a name="l01410"></a>01410         *info = -7;
<a name="l01411"></a>01411     }
<a name="l01412"></a>01412     <span class="keywordflow">if</span> (*info != 0) {
<a name="l01413"></a>01413         i__1 = -(*info);
<a name="l01414"></a>01414         xerbla_(<span class="stringliteral">&quot;SPOTRS&quot;</span>, &amp;i__1);
<a name="l01415"></a>01415         <span class="keywordflow">return</span> 0;
<a name="l01416"></a>01416     }
<a name="l01417"></a>01417 
<a name="l01418"></a>01418 <span class="comment">/*     Quick return if possible */</span>
<a name="l01419"></a>01419 
<a name="l01420"></a>01420     <span class="keywordflow">if</span> (*n == 0 || *nrhs == 0) {
<a name="l01421"></a>01421         <span class="keywordflow">return</span> 0;
<a name="l01422"></a>01422     }
<a name="l01423"></a>01423 
<a name="l01424"></a>01424     <span class="keywordflow">if</span> (upper) {
<a name="l01425"></a>01425 
<a name="l01426"></a>01426 <span class="comment">/*</span>
<a name="l01427"></a>01427 <span class="comment">          Solve A*X = B where A = U&#39;*U.</span>
<a name="l01428"></a>01428 <span class="comment"></span>
<a name="l01429"></a>01429 <span class="comment">          Solve U&#39;*X = B, overwriting B with X.</span>
<a name="l01430"></a>01430 <span class="comment">*/</span>
<a name="l01431"></a>01431 
<a name="l01432"></a>01432         strsm_(<span class="stringliteral">&quot;Left&quot;</span>, <span class="stringliteral">&quot;Upper&quot;</span>, <span class="stringliteral">&quot;Transpose&quot;</span>, <span class="stringliteral">&quot;Non-unit&quot;</span>, n, nrhs, &amp;c_b164, &amp;a[
<a name="l01433"></a>01433                 a_offset], lda, &amp;b[b_offset], ldb);
<a name="l01434"></a>01434 
<a name="l01435"></a>01435 <span class="comment">/*        Solve U*X = B, overwriting B with X. */</span>
<a name="l01436"></a>01436 
<a name="l01437"></a>01437         strsm_(<span class="stringliteral">&quot;Left&quot;</span>, <span class="stringliteral">&quot;Upper&quot;</span>, <span class="stringliteral">&quot;No transpose&quot;</span>, <span class="stringliteral">&quot;Non-unit&quot;</span>, n, nrhs, &amp;c_b164,
<a name="l01438"></a>01438                 &amp;a[a_offset], lda, &amp;b[b_offset], ldb);
<a name="l01439"></a>01439     } <span class="keywordflow">else</span> {
<a name="l01440"></a>01440 
<a name="l01441"></a>01441 <span class="comment">/*</span>
<a name="l01442"></a>01442 <span class="comment">          Solve A*X = B where A = L*L&#39;.</span>
<a name="l01443"></a>01443 <span class="comment"></span>
<a name="l01444"></a>01444 <span class="comment">          Solve L*X = B, overwriting B with X.</span>
<a name="l01445"></a>01445 <span class="comment">*/</span>
<a name="l01446"></a>01446 
<a name="l01447"></a>01447         strsm_(<span class="stringliteral">&quot;Left&quot;</span>, <span class="stringliteral">&quot;Lower&quot;</span>, <span class="stringliteral">&quot;No transpose&quot;</span>, <span class="stringliteral">&quot;Non-unit&quot;</span>, n, nrhs, &amp;c_b164,
<a name="l01448"></a>01448                 &amp;a[a_offset], lda, &amp;b[b_offset], ldb);
<a name="l01449"></a>01449 
<a name="l01450"></a>01450 <span class="comment">/*        Solve L&#39;*X = B, overwriting B with X. */</span>
<a name="l01451"></a>01451 
<a name="l01452"></a>01452         strsm_(<span class="stringliteral">&quot;Left&quot;</span>, <span class="stringliteral">&quot;Lower&quot;</span>, <span class="stringliteral">&quot;Transpose&quot;</span>, <span class="stringliteral">&quot;Non-unit&quot;</span>, n, nrhs, &amp;c_b164, &amp;a[
<a name="l01453"></a>01453                 a_offset], lda, &amp;b[b_offset], ldb);
<a name="l01454"></a>01454     }
<a name="l01455"></a>01455 
<a name="l01456"></a>01456     <span class="keywordflow">return</span> 0;
<a name="l01457"></a>01457 
<a name="l01458"></a>01458 <span class="comment">/*     End of SPOTRS */</span>
<a name="l01459"></a>01459 
<a name="l01460"></a>01460 } <span class="comment">/* spotrs_ */</span>
<a name="l01461"></a>01461 
</pre></div></div>
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