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<a href="MainPage_8html.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*!</span>
<a name="l00002"></a>00002 <span class="comment">\mainpage</span>
<a name="l00003"></a>00003 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00004"></a>00004 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00005"></a>00005 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00006"></a>00006 <span class="comment">&lt;hr&gt;&lt;hr&gt;</span>
<a name="l00007"></a>00007 <span class="comment">&lt;h2&gt;What&#39;s new?&lt;/h2&gt;</span>
<a name="l00008"></a>00008 <span class="comment">&lt;p&gt;</span>
<a name="l00009"></a>00009 <span class="comment">[Mar. 27th 2010]</span>
<a name="l00010"></a>00010 <span class="comment">&quot;cpplapack-2010.03.27&quot; has been released.</span>
<a name="l00011"></a>00011 <span class="comment">This release is only for the users who don&#39;t like to use svn.</span>
<a name="l00012"></a>00012 <span class="comment">(We still recomend users to use svn.:))</span>
<a name="l00013"></a>00013 <span class="comment">Not only &quot;tar.gz&quot; but also &quot;rpm&quot; and &quot;deb&quot; packages were prepared.</span>
<a name="l00014"></a>00014 <span class="comment">See the logs of svn to get the &quot;ChangeLog&quot;.</span>
<a name="l00015"></a>00015 <span class="comment">&lt;/p&gt;</span>
<a name="l00016"></a>00016 <span class="comment"></span>
<a name="l00017"></a>00017 <span class="comment">&lt;p&gt;</span>
<a name="l00018"></a>00018 <span class="comment">[Sep. 25th 2006]</span>
<a name="l00019"></a>00019 <span class="comment">&quot;cpplapack-2006_09_25&quot; has been released.</span>
<a name="l00020"></a>00020 <span class="comment">The general sparse matrix(dgsmatrix, zgsmatrix) and symmetric or hermitial sparse matrix(dssmatrix,zhsmatrix) were formally added. </span>
<a name="l00021"></a>00021 <span class="comment">This release also contains some bug fixes.</span>
<a name="l00022"></a>00022 <span class="comment">See &quot;ChangeLog&quot; for the detail.</span>
<a name="l00023"></a>00023 <span class="comment">&lt;/p&gt;</span>
<a name="l00024"></a>00024 <span class="comment"></span>
<a name="l00025"></a>00025 <span class="comment">&lt;p&gt;</span>
<a name="l00026"></a>00026 <span class="comment">[Mar. 25th 2005]</span>
<a name="l00027"></a>00027 <span class="comment">&quot;cpplapack-2005_03_25&quot; has been released.</span>
<a name="l00028"></a>00028 <span class="comment">This release contains some bug fixes and modification.</span>
<a name="l00029"></a>00029 <span class="comment">See &quot;ChangeLog&quot; for the detail.</span>
<a name="l00030"></a>00030 <span class="comment">It also contains the alpha version of sparse matrix classes (dssmatrix and zssmatrix).</span>
<a name="l00031"></a>00031 <span class="comment">These classes are still so buggy, but it is OK as long as you don&#39;t use these classes in your code.</span>
<a name="l00032"></a>00032 <span class="comment">&lt;/p&gt;</span>
<a name="l00033"></a>00033 <span class="comment"></span>
<a name="l00034"></a>00034 <span class="comment">&lt;p&gt;</span>
<a name="l00035"></a>00035 <span class="comment">[Oct. 15th 2004]</span>
<a name="l00036"></a>00036 <span class="comment">Mr. Ueshima wrote a tutorial of CPPLapack in Japanese.</span>
<a name="l00037"></a>00037 <span class="comment">&quot;cpplapack-2004_04_24&quot; has been released.</span>
<a name="l00038"></a>00038 <span class="comment">It is very useful for beginners of CPPLapack.</span>
<a name="l00039"></a>00039 <span class="comment">The HTML version is available at </span>
<a name="l00040"></a>00040 <span class="comment">&lt;a href=&quot;http://cpplapack.sourceforge.net/tutorial/japanese/index.html&quot;&gt;</span>
<a name="l00041"></a>00041 <span class="comment">http://cpplapack.sourceforge.net/tutorial/japanese/index.html&lt;/a&gt;,</span>
<a name="l00042"></a>00042 <span class="comment">and the PDF version is available at </span>
<a name="l00043"></a>00043 <span class="comment">&lt;a href=&quot;http://cpplapack.sourceforge.net/tutorial/japanese/CPPLapack_Tutorial-Japanese.pdf&quot;&gt;http://cpplapack.sourceforge.net/tutorial/japanese/CPPLapack_Tutorial-Japanese.pdf&lt;/a&gt;</span>
<a name="l00044"></a>00044 <span class="comment">&lt;/p&gt;</span>
<a name="l00045"></a>00045 <span class="comment"></span>
<a name="l00046"></a>00046 <span class="comment">&lt;p&gt;</span>
<a name="l00047"></a>00047 <span class="comment">[Apr. 24th 2004]</span>
<a name="l00048"></a>00048 <span class="comment">&quot;cpplapack-2004_04_24&quot; has been released.</span>
<a name="l00049"></a>00049 <span class="comment">OpenMP macros (&lt;code&gt;\#pragma omp parallel for private(j,k)&lt;/code&gt;) </span>
<a name="l00050"></a>00050 <span class="comment">are added to all triple for-loops. </span>
<a name="l00051"></a>00051 <span class="comment">The search engine for this documentation is added.</span>
<a name="l00052"></a>00052 <span class="comment">This search engine is case-sensitive.</span>
<a name="l00053"></a>00053 <span class="comment">&lt;/p&gt;</span>
<a name="l00054"></a>00054 <span class="comment"></span>
<a name="l00055"></a>00055 <span class="comment">&lt;p&gt;</span>
<a name="l00056"></a>00056 <span class="comment">[Apr. 1st 2004]</span>
<a name="l00057"></a>00057 <span class="comment">&quot;cpplapack-2004_04_01&quot; has been released.</span>
<a name="l00058"></a>00058 <span class="comment">The complex double-precision matrix and vector classes </span>
<a name="l00059"></a>00059 <span class="comment">(zgematrix, zgbmatrix, zhematrix, zcovector, zrovector)</span>
<a name="l00060"></a>00060 <span class="comment">are newly added.</span>
<a name="l00061"></a>00061 <span class="comment">&lt;/p&gt;</span>
<a name="l00062"></a>00062 <span class="comment"></span>
<a name="l00063"></a>00063 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00064"></a>00064 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00065"></a>00065 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00066"></a>00066 <span class="comment">&lt;hr&gt;&lt;hr&gt;</span>
<a name="l00067"></a>00067 <span class="comment">&lt;h2&gt;Introduction&lt;/h2&gt;</span>
<a name="l00068"></a>00068 <span class="comment">&lt;p&gt;</span>
<a name="l00069"></a>00069 <span class="comment">CPPLapack is a C++ class wrapper for BLAS and LAPACK.</span>
<a name="l00070"></a>00070 <span class="comment">&lt;/p&gt;</span>
<a name="l00071"></a>00071 <span class="comment"></span>
<a name="l00072"></a>00072 <span class="comment">&lt;p&gt;</span>
<a name="l00073"></a>00073 <span class="comment">The interfaces of Fortran BLAS, LAPACK, CBLAS, and CLAPACK </span>
<a name="l00074"></a>00074 <span class="comment">are not user-friendly, and induce a lot of coding mistakes </span>
<a name="l00075"></a>00075 <span class="comment">not only for LAPACK beginners but also experienced programmers. </span>
<a name="l00076"></a>00076 <span class="comment">Because of its difficult interface, BLAS functions are not widely used </span>
<a name="l00077"></a>00077 <span class="comment">for simple matrix calculations such as &quot;+&quot;, &quot;-&quot;, &quot;*&quot;, and so on</span>
<a name="l00078"></a>00078 <span class="comment">even though these calculations are frequently required.</span>
<a name="l00079"></a>00079 <span class="comment">If there is a user-friendly library using BLAS and LAPACK in the background,</span>
<a name="l00080"></a>00080 <span class="comment">it is really useful to minimize the program development time </span>
<a name="l00081"></a>00081 <span class="comment">and computational time at the same time.</span>
<a name="l00082"></a>00082 <span class="comment">Existing matrix libraries, however, are not sufficient as far as we know.</span>
<a name="l00083"></a>00083 <span class="comment">&lt;/p&gt;</span>
<a name="l00084"></a>00084 <span class="comment"></span>
<a name="l00085"></a>00085 <span class="comment">&lt;p&gt;</span>
<a name="l00086"></a>00086 <span class="comment">CPPLapack has a very user-friendly interface </span>
<a name="l00087"></a>00087 <span class="comment">as same as ordinary C++ matrix libraries.</span>
<a name="l00088"></a>00088 <span class="comment">Moreover, CPPLapack uses BLAS and LAPACK functions in the background</span>
<a name="l00089"></a>00089 <span class="comment">though programmers just need to write simple codes </span>
<a name="l00090"></a>00090 <span class="comment">such as &lt;code&gt;&quot;A=B*C;&quot;&lt;/code&gt;, &lt;code&gt;&quot;A.dgesv(y);&quot;&lt;/code&gt;, and so on.</span>
<a name="l00091"></a>00091 <span class="comment">&lt;/p&gt;</span>
<a name="l00092"></a>00092 <span class="comment"></span>
<a name="l00093"></a>00093 <span class="comment">&lt;p&gt;</span>
<a name="l00094"></a>00094 <span class="comment">The advantage of using CPPLapack are not only user-friendly interface </span>
<a name="l00095"></a>00095 <span class="comment">and fast computational speed but also saving memory space.</span>
<a name="l00096"></a>00096 <span class="comment">In case of large-size matrix calculation, </span>
<a name="l00097"></a>00097 <span class="comment">the number of copy times of objects affects required memory space</span>
<a name="l00098"></a>00098 <span class="comment">and computational time materially.</span>
<a name="l00099"></a>00099 <span class="comment">CPPLapack has a mechanism called &quot;Smart-Temporary&quot; system </span>
<a name="l00100"></a>00100 <span class="comment">to minimize the number of copy times.</span>
<a name="l00101"></a>00101 <span class="comment">The &quot;Smart-Temporary&quot; system is also hidden in CPPLapack library </span>
<a name="l00102"></a>00102 <span class="comment">so that programmers don&#39;t need to pay any attention for this system.</span>
<a name="l00103"></a>00103 <span class="comment">(CPPLapack used to employed &quot;to_return&quot; system.</span>
<a name="l00104"></a>00104 <span class="comment">Now CPPLapack uses this system to realize the same purpose </span>
<a name="l00105"></a>00105 <span class="comment">with keeping the compatibility with old versions.)</span>
<a name="l00106"></a>00106 <span class="comment">&lt;/p&gt;</span>
<a name="l00107"></a>00107 <span class="comment"></span>
<a name="l00108"></a>00108 <span class="comment">&lt;p&gt;</span>
<a name="l00109"></a>00109 <span class="comment">This program is designed for large matrix calculation.</span>
<a name="l00110"></a>00110 <span class="comment">If you don&#39;t have mind to handle large matrices, </span>
<a name="l00111"></a>00111 <span class="comment">to use another matrix library is recommended.</span>
<a name="l00112"></a>00112 <span class="comment">&lt;/p&gt;</span>
<a name="l00113"></a>00113 <span class="comment"></span>
<a name="l00114"></a>00114 <span class="comment">&lt;p&gt;</span>
<a name="l00115"></a>00115 <span class="comment">CPPLapack is still a beta program so far.</span>
<a name="l00116"></a>00116 <span class="comment">It is a shame but there are a few bugs </span>
<a name="l00117"></a>00117 <span class="comment">and unsupported BLAS and LAPACK functions.</span>
<a name="l00118"></a>00118 <span class="comment">If you are going to use CPPLapack, please be aware this situation.</span>
<a name="l00119"></a>00119 <span class="comment">Of course, it is very nice if you help us to develop CPPLapack.</span>
<a name="l00120"></a>00120 <span class="comment">&lt;/p&gt;</span>
<a name="l00121"></a>00121 <span class="comment"></span>
<a name="l00122"></a>00122 <span class="comment"></span>
<a name="l00123"></a>00123 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00124"></a>00124 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00125"></a>00125 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00126"></a>00126 <span class="comment">&lt;hr&gt;</span>
<a name="l00127"></a>00127 <span class="comment">&lt;h2&gt;Special Features&lt;/h2&gt;</span>
<a name="l00128"></a>00128 <span class="comment">&lt;ul&gt;</span>
<a name="l00129"></a>00129 <span class="comment">&lt;li&gt;</span>
<a name="l00130"></a>00130 <span class="comment">User-friendly interface&lt;br&gt;</span>
<a name="l00131"></a>00131 <span class="comment">&lt;/li&gt;</span>
<a name="l00132"></a>00132 <span class="comment">&lt;li&gt;</span>
<a name="l00133"></a>00133 <span class="comment">Hi-speed matrix calculations using BLAS and LAPACK&lt;br&gt;</span>
<a name="l00134"></a>00134 <span class="comment">&lt;/li&gt;</span>
<a name="l00135"></a>00135 <span class="comment">&lt;li&gt;</span>
<a name="l00136"></a>00136 <span class="comment">Minimized number of copy times of objects using &quot;Smart-Temporary&quot; system&lt;br&gt;</span>
<a name="l00137"></a>00137 <span class="comment">&lt;/li&gt;</span>
<a name="l00138"></a>00138 <span class="comment">&lt;/ul&gt;</span>
<a name="l00139"></a>00139 <span class="comment">All of the features are hidden in C++ class library </span>
<a name="l00140"></a>00140 <span class="comment">so that programmers are not required to do any special programming.</span>
<a name="l00141"></a>00141 <span class="comment"></span>
<a name="l00142"></a>00142 <span class="comment"></span>
<a name="l00143"></a>00143 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00144"></a>00144 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00145"></a>00145 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00146"></a>00146 <span class="comment">&lt;hr&gt;</span>
<a name="l00147"></a>00147 <span class="comment">&lt;h2&gt;Where to Get&lt;/h2&gt;</span>
<a name="l00148"></a>00148 <span class="comment">&lt;p&gt;</span>
<a name="l00149"></a>00149 <span class="comment">The official distribution site of CPPLapack is</span>
<a name="l00150"></a>00150 <span class="comment">&lt;a href=&quot;http://sourceforge.net/projects/cpplapack/&quot;&gt;here&lt;/a&gt;.</span>
<a name="l00151"></a>00151 <span class="comment">&lt;/p&gt;</span>
<a name="l00152"></a>00152 <span class="comment"></span>
<a name="l00153"></a>00153 <span class="comment"></span>
<a name="l00154"></a>00154 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00155"></a>00155 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00156"></a>00156 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00157"></a>00157 <span class="comment">&lt;hr&gt;</span>
<a name="l00158"></a>00158 <span class="comment">&lt;h2&gt;How to Install&lt;/h2&gt;</span>
<a name="l00159"></a>00159 <span class="comment">&lt;p&gt;</span>
<a name="l00160"></a>00160 <span class="comment">Actually, you don&#39;t need to install CPPLapack.</span>
<a name="l00161"></a>00161 <span class="comment">CPPLapack is a bunch of C++ header files.</span>
<a name="l00162"></a>00162 <span class="comment">Just expand the package at somewhere you like, </span>
<a name="l00163"></a>00163 <span class="comment">and write a include path in your &quot;Makefile&quot;.</span>
<a name="l00164"></a>00164 <span class="comment">All you need to include is only &quot;cpplapack.h&quot;.</span>
<a name="l00165"></a>00165 <span class="comment">&lt;/p&gt;</span>
<a name="l00166"></a>00166 <span class="comment"></span>
<a name="l00167"></a>00167 <span class="comment">&lt;p&gt;</span>
<a name="l00168"></a>00168 <span class="comment">But CPPLapack needs BLAS and LAPACK written in Fortran installed. </span>
<a name="l00169"></a>00169 <span class="comment">Just make sure these two libraries are installed </span>
<a name="l00170"></a>00170 <span class="comment">and modify &quot;Makefile&quot; to include and link to them. </span>
<a name="l00171"></a>00171 <span class="comment">In stead of original BLAS and LAPACK packages, </span>
<a name="l00172"></a>00172 <span class="comment">bender-supplied libraries such as Intel math kernel library(MKL), </span>
<a name="l00173"></a>00173 <span class="comment">Compaq extended math library(CXML), and so on are also acceptable.</span>
<a name="l00174"></a>00174 <span class="comment">&lt;/p&gt;</span>
<a name="l00175"></a>00175 <span class="comment"></span>
<a name="l00176"></a>00176 <span class="comment">&lt;p&gt;</span>
<a name="l00177"></a>00177 <span class="comment">What BLAS and LAPACK need to link depends on your platform. </span>
<a name="l00178"></a>00178 <span class="comment">Some examples of &quot;Makefile&quot; are prepared. </span>
<a name="l00179"></a>00179 <span class="comment">See \ref pg-makefile.</span>
<a name="l00180"></a>00180 <span class="comment">&lt;/p&gt;</span>
<a name="l00181"></a>00181 <span class="comment"></span>
<a name="l00182"></a>00182 <span class="comment">&lt;p&gt;</span>
<a name="l00183"></a>00183 <span class="comment">For Cygwin users, a simple instructions on </span>
<a name="l00184"></a>00184 <span class="comment">how to install ATLAS and LAPACK is prepared. </span>
<a name="l00185"></a>00185 <span class="comment">See \ref pg-cygwin.</span>
<a name="l00186"></a>00186 <span class="comment">&lt;/p&gt;</span>
<a name="l00187"></a>00187 <span class="comment"></span>
<a name="l00188"></a>00188 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00189"></a>00189 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00190"></a>00190 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00191"></a>00191 <span class="comment">&lt;hr&gt;</span>
<a name="l00192"></a>00192 <span class="comment">&lt;h2&gt;Important Specification&lt;/h2&gt;</span>
<a name="l00193"></a>00193 <span class="comment">&lt;ul&gt;</span>
<a name="l00194"></a>00194 <span class="comment">&lt;li&gt;</span>
<a name="l00195"></a>00195 <span class="comment">The namespace for CPPLapack is &quot;CPPL&quot;.</span>
<a name="l00196"></a>00196 <span class="comment">&lt;/li&gt;</span>
<a name="l00197"></a>00197 <span class="comment">&lt;li&gt;</span>
<a name="l00198"></a>00198 <span class="comment">You should not and don&#39;t need to use underscored matrix classes. </span>
<a name="l00199"></a>00199 <span class="comment">These classes are not for project codes. </span>
<a name="l00200"></a>00200 <span class="comment">The underscored classes are called &quot;Smart-Temporary&quot; classes.</span>
<a name="l00201"></a>00201 <span class="comment">The detail of &quot;Smart-Temporary&quot; system is explained in \ref pg-nt.</span>
<a name="l00202"></a>00202 <span class="comment">&lt;/li&gt;</span>
<a name="l00203"></a>00203 <span class="comment">&lt;li&gt;</span>
<a name="l00204"></a>00204 <span class="comment">The numbering system of the matrix component is NOT 1-based but 0-based.</span>
<a name="l00205"></a>00205 <span class="comment">In case of m x n matrix,</span>
<a name="l00206"></a>00206 <span class="comment">the element number at the upper left is (0,0),</span>
<a name="l00207"></a>00207 <span class="comment">and the element number at the lower right is (m-1,n-1).</span>
<a name="l00208"></a>00208 <span class="comment">See \ref pg-bandmatrix for information of a band matrix.</span>
<a name="l00209"></a>00209 <span class="comment">&lt;/li&gt;</span>
<a name="l00210"></a>00210 <span class="comment">&lt;li&gt;</span>
<a name="l00211"></a>00211 <span class="comment">The matrix arrays are stored in column-major style. </span>
<a name="l00212"></a>00212 <span class="comment">although most of C programmers like to use row-major style. </span>
<a name="l00213"></a>00213 <span class="comment">This is because of the conventional Fortran LAPACK style.</span>
<a name="l00214"></a>00214 <span class="comment">&lt;/li&gt;</span>
<a name="l00215"></a>00215 <span class="comment">&lt;li&gt;</span>
<a name="l00216"></a>00216 <span class="comment">The matrix and vector member objects m, n, l, and array are the const reference objects so that they can be used to obtain the data but cannot be overwritten.</span>
<a name="l00217"></a>00217 <span class="comment">&lt;/li&gt;</span>
<a name="l00218"></a>00218 <span class="comment">&lt;li&gt;</span>
<a name="l00219"></a>00219 <span class="comment">LAPACK member functions implemented in CPPLapack, such as A.dgesv(y), overwrite the matrix A.</span>
<a name="l00220"></a>00220 <span class="comment">When you need to keep the original matrix A, you have to make a copy of the matrix A before using LAPACK member functions.</span>
<a name="l00221"></a>00221 <span class="comment">&lt;/li&gt;</span>
<a name="l00222"></a>00222 <span class="comment">&lt;li&gt;</span>
<a name="l00223"></a>00223 <span class="comment">For easy debugging, &quot;CPPL_VERBOSE&quot; and &quot;CPPL_DEBUG&quot; macros are prepared. </span>
<a name="l00224"></a>00224 <span class="comment">When &quot;-DCPPL_VERBOSE&quot; is specified in compilation commands, every called function outputs its function name to stderr.</span>
<a name="l00225"></a>00225 <span class="comment">When &quot;-DCPPL_DEBUG&quot; is specified in compilation commands, matrix bounds checking are enabled. </span>
<a name="l00226"></a>00226 <span class="comment">We recommend you to enable these macros during the program testing, </span>
<a name="l00227"></a>00227 <span class="comment">then recompile codes without these macros for CPPLapack&#39;s best performance.</span>
<a name="l00228"></a>00228 <span class="comment">&lt;/li&gt;</span>
<a name="l00229"></a>00229 <span class="comment">&lt;li&gt;</span>
<a name="l00230"></a>00230 <span class="comment">It is important NOT to leave out the returned object. </span>
<a name="l00231"></a>00231 <span class="comment">The calculated and returned object must be substituted to an object. </span>
<a name="l00232"></a>00232 <span class="comment">For example, &lt;code&gt;A+B;&lt;/code&gt; is not good. </span>
<a name="l00233"></a>00233 <span class="comment">For another example, when </span>
<a name="l00234"></a>00234 <span class="comment">&lt;code&gt;&quot;dcovector f(const dcovector&amp;amp; x){ return 2*x; }&quot;&lt;/code&gt;,</span>
<a name="l00235"></a>00235 <span class="comment">&lt;code&gt;f(x);&lt;/code&gt; is also not good. </span>
<a name="l00236"></a>00236 <span class="comment">These are because of the &quot;Smart-Temporary&quot; system. </span>
<a name="l00237"></a>00237 <span class="comment">See \ref pg-nt. </span>
<a name="l00238"></a>00238 <span class="comment">&lt;/li&gt;</span>
<a name="l00239"></a>00239 <span class="comment">&lt;/ul&gt;</span>
<a name="l00240"></a>00240 <span class="comment"></span>
<a name="l00241"></a>00241 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00242"></a>00242 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00243"></a>00243 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00244"></a>00244 <span class="comment">&lt;hr&gt;</span>
<a name="l00245"></a>00245 <span class="comment">&lt;h2&gt;Test Programs&lt;/h2&gt;</span>
<a name="l00246"></a>00246 <span class="comment">Test programs to check the operations are there in &quot;test&quot; directory.</span>
<a name="l00247"></a>00247 <span class="comment">They are also easy examples for you to learn how to use CPPLapack.</span>
<a name="l00248"></a>00248 <span class="comment"></span>
<a name="l00249"></a>00249 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00250"></a>00250 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00251"></a>00251 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00252"></a>00252 <span class="comment">&lt;hr&gt;</span>
<a name="l00253"></a>00253 <span class="comment">&lt;h2&gt;Benchmark Programs&lt;/h2&gt;</span>
<a name="l00254"></a>00254 <span class="comment">&lt;p&gt;</span>
<a name="l00255"></a>00255 <span class="comment">Some programs to estimate the speed of CPPLapack are prepared </span>
<a name="l00256"></a>00256 <span class="comment">in &quot;benchmark&quot; directory.</span>
<a name="l00257"></a>00257 <span class="comment">&lt;/p&gt;</span>
<a name="l00258"></a>00258 <span class="comment"></span>
<a name="l00259"></a>00259 <span class="comment">&lt;p&gt;</span>
<a name="l00260"></a>00260 <span class="comment">The performance of CPPLapack is almost the same as the performance of original BLAS and LAPACK.</span>
<a name="l00261"></a>00261 <span class="comment">However, some of arguments of BLAS and LAPACK functions such as ALPHA, BETA, TRANS, and so on are fixed at certain values.</span>
<a name="l00262"></a>00262 <span class="comment">When you want to make the full-use of BLAS and LAPACK functions, you can call their functions directory in codes of CPPLapack as usual.</span>
<a name="l00263"></a>00263 <span class="comment">&lt;/p&gt;</span>
<a name="l00264"></a>00264 <span class="comment"></span>
<a name="l00265"></a>00265 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00266"></a>00266 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00267"></a>00267 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00268"></a>00268 <span class="comment">&lt;hr&gt;</span>
<a name="l00269"></a>00269 <span class="comment">&lt;h2&gt;FAQ&lt;/h2&gt;</span>
<a name="l00270"></a>00270 <span class="comment">&lt;p&gt;</span>
<a name="l00271"></a>00271 <span class="comment">(Q)I found my program using CPPLapack consuming the memory larger and larger</span>
<a name="l00272"></a>00272 <span class="comment">in a loop. Why does this happen?</span>
<a name="l00273"></a>00273 <span class="comment">&lt;br&gt;</span>
<a name="l00274"></a>00274 <span class="comment">(A)Most likely, you leave out some returned matrix or vector object in the loop.</span>
<a name="l00275"></a>00275 <span class="comment">Please read &quot;Important Specification&quot; section carefully.</span>
<a name="l00276"></a>00276 <span class="comment">&lt;/p&gt;</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">&lt;p&gt;</span>
<a name="l00280"></a>00280 <span class="comment">(Q)When I print components of a matrix or vector, </span>
<a name="l00281"></a>00281 <span class="comment">I sometimes see &quot;nan&quot; printed. What is the possible reason?</span>
<a name="l00282"></a>00282 <span class="comment">&lt;br&gt;</span>
<a name="l00283"></a>00283 <span class="comment">(A)First of all, please make sure that your objects are initialized.</span>
<a name="l00284"></a>00284 <span class="comment">The constructor with size arguments such as </span>
<a name="l00285"></a>00285 <span class="comment">&lt;code&gt;&quot;CPPL::dgematrix A(5,10);&quot;&lt;/code&gt;</span>
<a name="l00286"></a>00286 <span class="comment">does NOT initialize its array components.</span>
<a name="l00287"></a>00287 <span class="comment">The &quot;resize&quot; function does NOT initialize, neither.</span>
<a name="l00288"></a>00288 <span class="comment">Please initialize objects using substitutions, </span>
<a name="l00289"></a>00289 <span class="comment">or use &quot;identity&quot; or &quot;zero&quot; function to initialize them.</span>
<a name="l00290"></a>00290 <span class="comment">&lt;/p&gt;</span>
<a name="l00291"></a>00291 <span class="comment"></span>
<a name="l00292"></a>00292 <span class="comment"></span>
<a name="l00293"></a>00293 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00294"></a>00294 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00295"></a>00295 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00296"></a>00296 <span class="comment">&lt;hr&gt;</span>
<a name="l00297"></a>00297 <span class="comment">&lt;h2&gt;License&lt;/h2&gt;</span>
<a name="l00298"></a>00298 <span class="comment">CPPLapack is an open-source, free, and unguaranteed software.</span>
<a name="l00299"></a>00299 <span class="comment"></span>
<a name="l00300"></a>00300 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00301"></a>00301 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00302"></a>00302 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00303"></a>00303 <span class="comment">&lt;hr&gt;</span>
<a name="l00304"></a>00304 <span class="comment">&lt;h2&gt;Author and Cooperators&lt;/h2&gt;</span>
<a name="l00305"></a>00305 <span class="comment">Author: &amp;nbsp;</span>
<a name="l00306"></a>00306 <span class="comment">Yuki ONISHI&lt;br&gt;</span>
<a name="l00307"></a>00307 <span class="comment">Cooperator: &amp;nbsp;</span>
<a name="l00308"></a>00308 <span class="comment">Masafumi IAI, &amp;nbsp;</span>
<a name="l00309"></a>00309 <span class="comment">Toshiyasu SHIMIZU, &amp;nbsp;</span>
<a name="l00310"></a>00310 <span class="comment">Masashi UESHIMA</span>
<a name="l00311"></a>00311 <span class="comment"></span>
<a name="l00312"></a>00312 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00313"></a>00313 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00314"></a>00314 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00315"></a>00315 <span class="comment">&lt;hr&gt;</span>
<a name="l00316"></a>00316 <span class="comment">&lt;h2&gt;Bug Report&lt;/h2&gt;</span>
<a name="l00317"></a>00317 <span class="comment">Please send bug reports to </span>
<a name="l00318"></a>00318 <span class="comment">&lt;a href=&quot;mailto:yuki.onishi@nifty.com&quot;&gt;yuki.onishi@nifty.com&lt;/a&gt;.</span>
<a name="l00319"></a>00319 <span class="comment">I also welcome any kind of comments.</span>
<a name="l00320"></a>00320 <span class="comment"></span>
<a name="l00321"></a>00321 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00322"></a>00322 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00323"></a>00323 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00324"></a>00324 <span class="comment">&lt;hr&gt;</span>
<a name="l00325"></a>00325 <span class="comment">&lt;h2&gt;Links&lt;/h2&gt;</span>
<a name="l00326"></a>00326 <span class="comment">CPPLapack Documents in Japanese:</span>
<a name="l00327"></a>00327 <span class="comment">&lt;ul&gt;</span>
<a name="l00328"></a>00328 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;../main_page/Japanese.html&quot;&gt;</span>
<a name="l00329"></a>00329 <span class="comment">CPPLapack Document in Japanese&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00330"></a>00330 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://cpplapack.sourceforge.net/tutorial/japanese/index.html&quot;&gt;</span>
<a name="l00331"></a>00331 <span class="comment">CPPLapack Tutorial in Japanese&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00332"></a>00332 <span class="comment">&lt;li&gt;&lt;a href=&quot;http://cpplapack.sourceforge.net/tutorial/japanese/CPPLapack_Tutorial-Japanese.pdf&quot;&gt;PDF of CPPLapack Tutorial in Japanese&lt;/a&gt;</span>
<a name="l00333"></a>00333 <span class="comment">&lt;/ul&gt;</span>
<a name="l00334"></a>00334 <span class="comment"></span>
<a name="l00335"></a>00335 <span class="comment">The sister project of CPPLapack:</span>
<a name="l00336"></a>00336 <span class="comment">&lt;ul&gt;</span>
<a name="l00337"></a>00337 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://sourceforge.net/projects/cppscalapack/&quot;&gt;</span>
<a name="l00338"></a>00338 <span class="comment">CPPScaLapack&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00339"></a>00339 <span class="comment">&lt;/ul&gt;</span>
<a name="l00340"></a>00340 <span class="comment"></span>
<a name="l00341"></a>00341 <span class="comment">CPPLapack is based on and thanks to:</span>
<a name="l00342"></a>00342 <span class="comment">&lt;ul&gt;</span>
<a name="l00343"></a>00343 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://netlib.caspur.it/blas/&quot;&gt;</span>
<a name="l00344"></a>00344 <span class="comment">BLAS&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00345"></a>00345 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://netlib.caspur.it/atlas/&quot;&gt;</span>
<a name="l00346"></a>00346 <span class="comment">ATLAS&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00347"></a>00347 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://www.netlib.org/lapack/&quot;&gt;</span>
<a name="l00348"></a>00348 <span class="comment">LAPACK&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00349"></a>00349 <span class="comment">&lt;/ul&gt;</span>
<a name="l00350"></a>00350 <span class="comment"></span>
<a name="l00351"></a>00351 <span class="comment">&lt;ul&gt;</span>
<a name="l00352"></a>00352 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://developer.intel.com/software/products/compilers/&quot;&gt;</span>
<a name="l00353"></a>00353 <span class="comment">Intel C++ Compiler (ICC)&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00354"></a>00354 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://developer.intel.com/software/products/mkl/index.htm&quot;&gt;</span>
<a name="l00355"></a>00355 <span class="comment">Intel Math Kernel Library (MKL)&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00356"></a>00356 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://h30097.www3.hp.com/linux/compaq_cxx/&quot;&gt;</span>
<a name="l00357"></a>00357 <span class="comment">HP(Compaq) C++ Compiler for Linux Alpha (CXX)&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00358"></a>00358 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://h18000.www1.hp.com/math/&quot;&gt;</span>
<a name="l00359"></a>00359 <span class="comment">HP(Compaq) Math Libraries (CPML, CXML)&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00360"></a>00360 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://www.mpack.com/&quot;&gt;</span>
<a name="l00361"></a>00361 <span class="comment">NEC MathKeisan Library (MPACK)&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00362"></a>00362 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://www.sgi.com/developers/devtools/apis/scsl.html&quot;&gt;</span>
<a name="l00363"></a>00363 <span class="comment">SGI Scientific Computing Software Library (SCSL)&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00364"></a>00364 <span class="comment">&lt;li&gt;&lt;a target=&quot;_blank&quot; href=&quot;http://www.amd.com/home/dev01&quot;&gt;</span>
<a name="l00365"></a>00365 <span class="comment">AMD Core Math Library (ACML)&lt;/a&gt;&lt;/li&gt;</span>
<a name="l00366"></a>00366 <span class="comment">&lt;/ul&gt;</span>
<a name="l00367"></a>00367 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00368"></a>00368 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00369"></a>00369 <span class="comment">&lt;!----------------------------------------------------------------------------&gt;</span>
<a name="l00370"></a>00370 <span class="comment">&lt;center&gt;&lt;h3&gt;Have fun.&lt;/h3&gt;&lt;/center&gt;</span>
<a name="l00371"></a>00371 <span class="comment">*/</span>
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