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<h1>matrix.c</h1><a href="matrix_8c.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/* matrix.c </span>
<a name="l00002"></a>00002 <span class="comment"> COPYRIGHT</span>
<a name="l00003"></a>00003 <span class="comment"> Both this software and its documentation are</span>
<a name="l00004"></a>00004 <span class="comment"></span>
<a name="l00005"></a>00005 <span class="comment"> Copyright 1993 by IRISA /Universite de Rennes I -</span>
<a name="l00006"></a>00006 <span class="comment"> France, Copyright 1995,1996 by BYU, Provo, Utah</span>
<a name="l00007"></a>00007 <span class="comment"> all rights reserved.</span>
<a name="l00008"></a>00008 <span class="comment"></span>
<a name="l00009"></a>00009 <span class="comment"> Permission is granted to copy, use, and distribute</span>
<a name="l00010"></a>00010 <span class="comment"> for any commercial or noncommercial purpose under the terms</span>
<a name="l00011"></a>00011 <span class="comment"> of the GNU General Public license, version 2, June 1991</span>
<a name="l00012"></a>00012 <span class="comment"> (see file : LICENSING).</span>
<a name="l00013"></a>00013 <span class="comment">*/</span>
<a name="l00014"></a>00014
<a name="l00015"></a>00015 <span class="preprocessor">#include <stdio.h></span>
<a name="l00016"></a>00016 <span class="preprocessor">#include <stdlib.h></span>
<a name="l00017"></a>00017 <span class="preprocessor">#include <string.h></span>
<a name="l00018"></a>00018 <span class="preprocessor">#include <ctype.h></span>
<a name="l00019"></a>00019 <span class="preprocessor">#include <<a class="code" href="polylib_8h.html">polylib/polylib.h</a>></span>
<a name="l00020"></a>00020
<a name="l00021"></a>00021 <span class="preprocessor">#ifdef mac_os</span>
<a name="l00022"></a>00022 <span class="preprocessor"></span><span class="preprocessor"> #define abs __abs</span>
<a name="l00023"></a>00023 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00024"></a>00024 <span class="preprocessor"></span>
<a name="l00025"></a>00025 <span class="comment">/* </span>
<a name="l00026"></a>00026 <span class="comment"> * Allocate space for matrix dimensioned by 'NbRows X NbColumns'.</span>
<a name="l00027"></a>00027 <span class="comment"> */</span>
<a name="l00028"></a><a class="code" href="matrix_8h.html#c0b29e1d99a2823ad00b5f2157879d80">00028</a> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(<span class="keywordtype">unsigned</span> NbRows,<span class="keywordtype">unsigned</span> NbColumns) {
<a name="l00029"></a>00029
<a name="l00030"></a>00030 <a class="code" href="structmatrix.html">Matrix</a> *Mat;
<a name="l00031"></a>00031 Value *<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>, **q;
<a name="l00032"></a>00032 <span class="keywordtype">int</span> i,j;
<a name="l00033"></a>00033
<a name="l00034"></a>00034 Mat=(<a class="code" href="structmatrix.html">Matrix</a> *)malloc(<span class="keyword">sizeof</span>(<a class="code" href="structmatrix.html">Matrix</a>));
<a name="l00035"></a>00035 <span class="keywordflow">if</span>(!Mat) {
<a name="l00036"></a>00036 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"Matrix_Alloc"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00037"></a>00037 <span class="keywordflow">return</span> 0;
<a name="l00038"></a>00038 }
<a name="l00039"></a>00039 Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>=NbRows;
<a name="l00040"></a>00040 Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>=NbColumns;
<a name="l00041"></a>00041 <span class="keywordflow">if</span> (NbRows==0 || NbColumns==0) {
<a name="l00042"></a>00042 Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a> = (Value **)0;
<a name="l00043"></a>00043 Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>= (Value *)0;
<a name="l00044"></a>00044 Mat-><a class="code" href="structmatrix.html#5dc523eba55ca76f0a7eba9ec325cbe5">p_Init_size</a> = 0;
<a name="l00045"></a>00045 } <span class="keywordflow">else</span> {
<a name="l00046"></a>00046 q = (Value **)malloc(NbRows * <span class="keyword">sizeof</span>(*q));
<a name="l00047"></a>00047 <span class="keywordflow">if</span>(!q) {
<a name="l00048"></a>00048 free(Mat);
<a name="l00049"></a>00049 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"Matrix_Alloc"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00050"></a>00050 <span class="keywordflow">return</span> 0;
<a name="l00051"></a>00051 }
<a name="l00052"></a>00052 p = <a class="code" href="vector_8c.html#e8b0745702c689f66f3d12bc17f93f58">value_alloc</a>(NbRows * NbColumns, &Mat-><a class="code" href="structmatrix.html#5dc523eba55ca76f0a7eba9ec325cbe5">p_Init_size</a>);
<a name="l00053"></a>00053 <span class="keywordflow">if</span>(!p) {
<a name="l00054"></a>00054 free(q);
<a name="l00055"></a>00055 free(Mat);
<a name="l00056"></a>00056 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"Matrix_Alloc"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00057"></a>00057 <span class="keywordflow">return</span> 0;
<a name="l00058"></a>00058 }
<a name="l00059"></a>00059 Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a> = q;
<a name="l00060"></a>00060 Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a> = p;
<a name="l00061"></a>00061 <span class="keywordflow">for</span> (i=0;i<NbRows;i++) {
<a name="l00062"></a>00062 *q++ = p;
<a name="l00063"></a>00063 p += NbColumns;
<a name="l00064"></a>00064 }
<a name="l00065"></a>00065 }
<a name="l00066"></a>00066 p = NULL;
<a name="l00067"></a>00067 q = NULL;
<a name="l00068"></a>00068
<a name="l00069"></a>00069 <span class="keywordflow">return</span> Mat;
<a name="l00070"></a>00070 } <span class="comment">/* Matrix_Alloc */</span>
<a name="l00071"></a>00071
<a name="l00072"></a>00072 <span class="comment">/* </span>
<a name="l00073"></a>00073 <span class="comment"> * Free the memory space occupied by Matrix 'Mat' </span>
<a name="l00074"></a>00074 <span class="comment"> */</span>
<a name="l00075"></a><a class="code" href="matrix_8h.html#fcb312b7c12a6997cd66964ecc34e1a6">00075</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(<a class="code" href="structmatrix.html">Matrix</a> *Mat)
<a name="l00076"></a>00076 {
<a name="l00077"></a>00077 <span class="keywordflow">if</span> (Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>)
<a name="l00078"></a>00078 <a class="code" href="vector_8c.html#3e050c3a0fbb40af2a15f874835e34a4">value_free</a>(Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>, Mat-><a class="code" href="structmatrix.html#5dc523eba55ca76f0a7eba9ec325cbe5">p_Init_size</a>);
<a name="l00079"></a>00079
<a name="l00080"></a>00080 <span class="keywordflow">if</span> (Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>)
<a name="l00081"></a>00081 free(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>);
<a name="l00082"></a>00082 free(Mat);
<a name="l00083"></a>00083
<a name="l00084"></a>00084 } <span class="comment">/* Matrix_Free */</span>
<a name="l00085"></a>00085
<a name="l00086"></a><a class="code" href="matrix_8h.html#22b92aad923f05a327d06d761f0396e0">00086</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#22b92aad923f05a327d06d761f0396e0">Matrix_Extend</a>(<a class="code" href="structmatrix.html">Matrix</a> *Mat, <span class="keywordtype">unsigned</span> NbRows)
<a name="l00087"></a>00087 {
<a name="l00088"></a>00088 Value *<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>, **q;
<a name="l00089"></a>00089 <span class="keywordtype">int</span> i,j;
<a name="l00090"></a>00090
<a name="l00091"></a>00091 q = (Value **)realloc(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>, NbRows * <span class="keyword">sizeof</span>(*q));
<a name="l00092"></a>00092 <span class="keywordflow">if</span>(!q) {
<a name="l00093"></a>00093 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"Matrix_Extend"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00094"></a>00094 <span class="keywordflow">return</span>;
<a name="l00095"></a>00095 }
<a name="l00096"></a>00096 Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a> = q;
<a name="l00097"></a>00097 <span class="keywordflow">if</span> (Mat-><a class="code" href="structmatrix.html#5dc523eba55ca76f0a7eba9ec325cbe5">p_Init_size</a> < NbRows * Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>) {
<a name="l00098"></a>00098 p = (Value *)realloc(Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>, NbRows * Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a> * <span class="keyword">sizeof</span>(Value));
<a name="l00099"></a>00099 <span class="keywordflow">if</span>(!p) {
<a name="l00100"></a>00100 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"Matrix_Extend"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00101"></a>00101 <span class="keywordflow">return</span>;
<a name="l00102"></a>00102 }
<a name="l00103"></a>00103 Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a> = p;
<a name="l00104"></a>00104 <a class="code" href="vector_8c.html#27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a> + Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>*Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>, 0,
<a name="l00105"></a>00105 Mat-><a class="code" href="structmatrix.html#5dc523eba55ca76f0a7eba9ec325cbe5">p_Init_size</a> - Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>*Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>);
<a name="l00106"></a>00106 <span class="keywordflow">for</span> (i = Mat-><a class="code" href="structmatrix.html#5dc523eba55ca76f0a7eba9ec325cbe5">p_Init_size</a>; i < Mat->NbColumns*NbRows; ++i)
<a name="l00107"></a>00107 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>[i]);
<a name="l00108"></a>00108 Mat-><a class="code" href="structmatrix.html#5dc523eba55ca76f0a7eba9ec325cbe5">p_Init_size</a> = Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>*NbRows;
<a name="l00109"></a>00109 } <span class="keywordflow">else</span>
<a name="l00110"></a>00110 <a class="code" href="vector_8c.html#27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a> + Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>*Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>, 0,
<a name="l00111"></a>00111 (NbRows - Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>) * Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>);
<a name="l00112"></a>00112 <span class="keywordflow">for</span> (i=0;i<NbRows;i++) {
<a name="l00113"></a>00113 Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i] = Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a> + (i * Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>);
<a name="l00114"></a>00114 }
<a name="l00115"></a>00115 Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a> = NbRows;
<a name="l00116"></a>00116 }
<a name="l00117"></a>00117
<a name="l00118"></a>00118 <span class="comment">/* </span>
<a name="l00119"></a>00119 <span class="comment"> * Print the contents of the Matrix 'Mat'</span>
<a name="l00120"></a>00120 <span class="comment"> */</span>
<a name="l00121"></a><a class="code" href="matrix_8h.html#d4c3c350dba633f72bbcf3609b6b67d7">00121</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(FILE *Dst, <span class="keyword">const</span> <span class="keywordtype">char</span> *Format, <a class="code" href="structmatrix.html">Matrix</a> *Mat)
<a name="l00122"></a>00122 {
<a name="l00123"></a>00123 Value *<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00124"></a>00124 <span class="keywordtype">int</span> i, j;
<a name="l00125"></a>00125 <span class="keywordtype">unsigned</span> NbRows, NbColumns;
<a name="l00126"></a>00126
<a name="l00127"></a>00127 fprintf(Dst,<span class="stringliteral">"%d %d\n"</span>, NbRows=Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>, NbColumns=Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>);
<a name="l00128"></a>00128 <span class="keywordflow">if</span> (NbColumns ==0) {
<a name="l00129"></a>00129 fprintf(Dst, <span class="stringliteral">"\n"</span>);
<a name="l00130"></a>00130 <span class="keywordflow">return</span>;
<a name="l00131"></a>00131 }
<a name="l00132"></a>00132 <span class="keywordflow">for</span> (i=0;i<NbRows;i++) {
<a name="l00133"></a>00133 p=*(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>+i);
<a name="l00134"></a>00134 <span class="keywordflow">for</span> (j=0;j<NbColumns;j++) {
<a name="l00135"></a>00135 <span class="keywordflow">if</span> (!Format) {
<a name="l00136"></a>00136 <a class="code" href="source_2arith_2arithmetique_8h.html#d34605b56b571830b928b50a74d618b7">value_print</a>(Dst,<span class="stringliteral">" "</span><a class="code" href="types_8h.html#e6f16bcd4a42ba51cbb003e3d1e1cde6">P_VALUE_FMT</a><span class="stringliteral">" "</span>,*p++);
<a name="l00137"></a>00137 }
<a name="l00138"></a>00138 <span class="keywordflow">else</span> {
<a name="l00139"></a>00139 <a class="code" href="source_2arith_2arithmetique_8h.html#d34605b56b571830b928b50a74d618b7">value_print</a>(Dst,Format,*p++);
<a name="l00140"></a>00140 }
<a name="l00141"></a>00141 }
<a name="l00142"></a>00142 fprintf(Dst, <span class="stringliteral">"\n"</span>);
<a name="l00143"></a>00143 }
<a name="l00144"></a>00144 } <span class="comment">/* Matrix_Print */</span>
<a name="l00145"></a>00145
<a name="l00146"></a>00146 <span class="comment">/* </span>
<a name="l00147"></a>00147 <span class="comment"> * Read the contents of the Matrix 'Mat' </span>
<a name="l00148"></a>00148 <span class="comment"> */</span>
<a name="l00149"></a><a class="code" href="matrix_8h.html#40c219a9893d0f0ea7f9448ad27fcc3d">00149</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#40c219a9893d0f0ea7f9448ad27fcc3d">Matrix_Read_Input</a>(<a class="code" href="structmatrix.html">Matrix</a> *Mat) {
<a name="l00150"></a>00150
<a name="l00151"></a>00151 Value *<a class="code" href="vector_8c.html#a45b2e3dcf291527c5aedc420819adfc">p</a>;
<a name="l00152"></a>00152 <span class="keywordtype">int</span> i,j,<a class="code" href="polyparam_8c.html#76f11d9a0a47b94f72c2d0e77fb32240">n</a>;
<a name="l00153"></a>00153 <span class="keywordtype">char</span> *c, <a class="code" href="polytest_8c.html#27d9a0cff1341bbc004fabd1ad8a1543">s</a>[1024],str[1024];
<a name="l00154"></a>00154
<a name="l00155"></a>00155 p = Mat-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>;
<a name="l00156"></a>00156 <span class="keywordflow">for</span> (i=0;i<Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;i++) {
<a name="l00157"></a>00157 <span class="keywordflow">do</span> {
<a name="l00158"></a>00158 c = fgets(s, 1024, stdin);
<a name="l00159"></a>00159 <span class="keywordflow">while</span>(isspace(*c) && *c!=<span class="charliteral">'\n'</span>)
<a name="l00160"></a>00160 ++c;
<a name="l00161"></a>00161 } <span class="keywordflow">while</span>(c && (*c ==<span class="charliteral">'#'</span> || *c== <span class="charliteral">'\n'</span>));
<a name="l00162"></a>00162
<a name="l00163"></a>00163 <span class="keywordflow">if</span> (!c) {
<a name="l00164"></a>00164 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>( <span class="stringliteral">"Matrix_Read"</span>, <span class="stringliteral">"baddim"</span>, <span class="stringliteral">"not enough rows"</span> );
<a name="l00165"></a>00165 <span class="keywordflow">break</span>;
<a name="l00166"></a>00166 }
<a name="l00167"></a>00167 <span class="keywordflow">for</span> (j=0;j<Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;j++) {
<a name="l00168"></a>00168 <span class="keywordflow">if</span>(!c || *c==<span class="charliteral">'\n'</span> || *c==<span class="charliteral">'#'</span>) {
<a name="l00169"></a>00169 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"Matrix_Read"</span>, <span class="stringliteral">"baddim"</span>, <span class="stringliteral">"not enough columns"</span>);
<a name="l00170"></a>00170 <span class="keywordflow">break</span>;
<a name="l00171"></a>00171 }
<a name="l00172"></a>00172 <span class="keywordflow">if</span> (sscanf(c,<span class="stringliteral">"%s%n"</span>,str,&n) == 0) {
<a name="l00173"></a>00173 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>( <span class="stringliteral">"Matrix_Read"</span>, <span class="stringliteral">"baddim"</span>, <span class="stringliteral">"not enough columns"</span> );
<a name="l00174"></a>00174 <span class="keywordflow">break</span>;
<a name="l00175"></a>00175 }
<a name="l00176"></a>00176 <a class="code" href="source_2arith_2arithmetique_8h.html#b8a77ddf3765fd598f31d8ca2ac4705c">value_read</a>(*(p++),str);
<a name="l00177"></a>00177 c += n;
<a name="l00178"></a>00178 }
<a name="l00179"></a>00179 }
<a name="l00180"></a>00180 } <span class="comment">/* Matrix_Read_Input */</span>
<a name="l00181"></a>00181
<a name="l00182"></a>00182 <span class="comment">/* </span>
<a name="l00183"></a>00183 <span class="comment"> * Read the contents of the matrix 'Mat' from standard input. </span>
<a name="l00184"></a>00184 <span class="comment"> * A '#' in the first column is a comment line </span>
<a name="l00185"></a>00185 <span class="comment"> */</span>
<a name="l00186"></a><a class="code" href="matrix_8h.html#3a087ae9a03d5baf0b81831177931143">00186</a> <a class="code" href="structmatrix.html">Matrix</a> *<a class="code" href="matrix_8c.html#3a087ae9a03d5baf0b81831177931143">Matrix_Read</a>(<span class="keywordtype">void</span>) {
<a name="l00187"></a>00187
<a name="l00188"></a>00188 <a class="code" href="structmatrix.html">Matrix</a> *Mat;
<a name="l00189"></a>00189 <span class="keywordtype">unsigned</span> NbRows, NbColumns;
<a name="l00190"></a>00190 <span class="keywordtype">char</span> <a class="code" href="polytest_8c.html#27d9a0cff1341bbc004fabd1ad8a1543">s</a>[1024];
<a name="l00191"></a>00191
<a name="l00192"></a>00192 <span class="keywordflow">if</span> (fgets(s, 1024, stdin) == NULL)
<a name="l00193"></a>00193 <span class="keywordflow">return</span> NULL;
<a name="l00194"></a>00194 <span class="keywordflow">while</span> ((*s==<span class="charliteral">'#'</span> || *s==<span class="charliteral">'\n'</span>) ||
<a name="l00195"></a>00195 (sscanf(s, <span class="stringliteral">"%d %d"</span>, &NbRows, &NbColumns)<2)) {
<a name="l00196"></a>00196 <span class="keywordflow">if</span> (fgets(s, 1024, stdin) == NULL)
<a name="l00197"></a>00197 <span class="keywordflow">return</span> NULL;
<a name="l00198"></a>00198 }
<a name="l00199"></a>00199 Mat = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(NbRows,NbColumns);
<a name="l00200"></a>00200 <span class="keywordflow">if</span>(!Mat) {
<a name="l00201"></a>00201 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"Matrix_Read"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00202"></a>00202 <span class="keywordflow">return</span>(NULL);
<a name="l00203"></a>00203 }
<a name="l00204"></a>00204 <a class="code" href="matrix_8c.html#40c219a9893d0f0ea7f9448ad27fcc3d">Matrix_Read_Input</a>(Mat);
<a name="l00205"></a>00205 <span class="keywordflow">return</span> Mat;
<a name="l00206"></a>00206 } <span class="comment">/* Matrix_Read */</span>
<a name="l00207"></a>00207
<a name="l00208"></a>00208 <span class="comment">/* </span>
<a name="l00209"></a>00209 <span class="comment"> * Basic hermite engine </span>
<a name="l00210"></a>00210 <span class="comment"> */</span>
<a name="l00211"></a><a class="code" href="matrix_8c.html#0913852253401fd132b31cc4a205c1de">00211</a> <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="matrix_8c.html#0913852253401fd132b31cc4a205c1de">hermite</a>(<a class="code" href="structmatrix.html">Matrix</a> *H,<a class="code" href="structmatrix.html">Matrix</a> *U,<a class="code" href="structmatrix.html">Matrix</a> *Q) {
<a name="l00212"></a>00212
<a name="l00213"></a>00213 <span class="keywordtype">int</span> nc, <a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>, i, j, k, rank, reduced, pivotrow;
<a name="l00214"></a>00214 Value pivot,x,aux;
<a name="l00215"></a>00215 Value *temp1, *temp2;
<a name="l00216"></a>00216
<a name="l00217"></a>00217 <span class="comment">/* T -1 T */</span>
<a name="l00218"></a>00218 <span class="comment">/* Computes form: A = Q H and U A = H and U = Q */</span>
<a name="l00219"></a>00219
<a name="l00220"></a>00220 <span class="keywordflow">if</span> (!H) {
<a name="l00221"></a>00221 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"Domlib"</span>, <span class="stringliteral">"nullH"</span>, <span class="stringliteral">"hermite: ? Null H"</span>);
<a name="l00222"></a>00222 <span class="keywordflow">return</span> -1;
<a name="l00223"></a>00223 }
<a name="l00224"></a>00224 nc = H-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;
<a name="l00225"></a>00225 nr = H-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l00226"></a>00226 temp1 = (Value *) malloc(nc * <span class="keyword">sizeof</span>(Value));
<a name="l00227"></a>00227 temp2 = (Value *) malloc(nr * <span class="keyword">sizeof</span>(Value));
<a name="l00228"></a>00228 <span class="keywordflow">if</span> (!temp1 ||!temp2) {
<a name="l00229"></a>00229 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"Domlib"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00230"></a>00230 <span class="keywordflow">return</span> -1;
<a name="l00231"></a>00231 }
<a name="l00232"></a>00232
<a name="l00233"></a>00233 <span class="comment">/* Initialize all the 'Value' variables */</span>
<a name="l00234"></a>00234 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(pivot); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(x);
<a name="l00235"></a>00235 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(aux);
<a name="l00236"></a>00236 <span class="keywordflow">for</span>(i=0;i<nc;i++)
<a name="l00237"></a>00237 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(temp1[i]);
<a name="l00238"></a>00238 <span class="keywordflow">for</span>(i=0;i<nr;i++)
<a name="l00239"></a>00239 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(temp2[i]);
<a name="l00240"></a>00240
<a name="l00241"></a>00241 <span class="preprocessor">#ifdef DEBUG</span>
<a name="l00242"></a>00242 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Start -----------\n"</span>);
<a name="l00243"></a>00243 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,0,H);
<a name="l00244"></a>00244 <span class="preprocessor">#endif</span>
<a name="l00245"></a>00245 <span class="preprocessor"></span> <span class="keywordflow">for</span> (k=0, rank=0; k<nc && rank<nr; k=k+1) {
<a name="l00246"></a>00246 reduced = 1; <span class="comment">/* go through loop the first time */</span>
<a name="l00247"></a>00247 <span class="preprocessor">#ifdef DEBUG</span>
<a name="l00248"></a>00248 <span class="preprocessor"></span> fprintf(stderr, <span class="stringliteral">"Working on col %d. Rank=%d ----------\n"</span>, k+1, rank+1);
<a name="l00249"></a>00249 <span class="preprocessor">#endif</span>
<a name="l00250"></a>00250 <span class="preprocessor"></span> <span class="keywordflow">while</span> (reduced) {
<a name="l00251"></a>00251 reduced=0;
<a name="l00252"></a>00252
<a name="l00253"></a>00253 <span class="comment">/* 1. find pivot row */</span>
<a name="l00254"></a>00254 <a class="code" href="source_2arith_2arithmetique_8h.html#6eee595d027bdf64a6c529b5f138720f">value_absolute</a>(pivot,H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][k]);
<a name="l00255"></a>00255
<a name="l00256"></a>00256 <span class="comment">/* the kth-diagonal element */</span>
<a name="l00257"></a>00257 pivotrow = rank;
<a name="l00258"></a>00258
<a name="l00259"></a>00259 <span class="comment">/* find the row i>rank with smallest nonzero element in col k */</span>
<a name="l00260"></a>00260 <span class="keywordflow">for</span> (i=rank+1; i<nr; i++) {
<a name="l00261"></a>00261 <a class="code" href="source_2arith_2arithmetique_8h.html#6eee595d027bdf64a6c529b5f138720f">value_absolute</a>(x,H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][k]);
<a name="l00262"></a>00262 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(x) &&
<a name="l00263"></a>00263 (<a class="code" href="source_2arith_2arithmetique_8h.html#d87a1fcce82a9885ffd8518f4fba2c0e">value_lt</a>(x,pivot) || <a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(pivot))) {
<a name="l00264"></a>00264 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(pivot,x);
<a name="l00265"></a>00265 pivotrow = i;
<a name="l00266"></a>00266 }
<a name="l00267"></a>00267 }
<a name="l00268"></a>00268
<a name="l00269"></a>00269 <span class="comment">/* 2. Bring pivot to diagonal (exchange rows pivotrow and rank) */</span>
<a name="l00270"></a>00270 <span class="keywordflow">if</span> (pivotrow != rank) {
<a name="l00271"></a>00271 <a class="code" href="vector_8c.html#88f4d69371f16d6d28e8a87c496b0730">Vector_Exchange</a>(H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[pivotrow],H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank],nc);
<a name="l00272"></a>00272 <span class="keywordflow">if</span> (U)
<a name="l00273"></a>00273 <a class="code" href="vector_8c.html#88f4d69371f16d6d28e8a87c496b0730">Vector_Exchange</a>(U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[pivotrow],U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank],nr);
<a name="l00274"></a>00274 <span class="keywordflow">if</span> (Q)
<a name="l00275"></a>00275 <a class="code" href="vector_8c.html#88f4d69371f16d6d28e8a87c496b0730">Vector_Exchange</a>(Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[pivotrow],Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank],nr);
<a name="l00276"></a>00276
<a name="l00277"></a>00277 <span class="preprocessor">#ifdef DEBUG</span>
<a name="l00278"></a>00278 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Exchange rows %d and %d -----------\n"</span>, rank+1, pivotrow+1);
<a name="l00279"></a>00279 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,0,H);
<a name="l00280"></a>00280 <span class="preprocessor">#endif</span>
<a name="l00281"></a>00281 <span class="preprocessor"></span> }
<a name="l00282"></a>00282 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(pivot,H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][k]); <span class="comment">/* actual ( no abs() ) pivot */</span>
<a name="l00283"></a>00283
<a name="l00284"></a>00284 <span class="comment">/* 3. Invert the row 'rank' if pivot is negative */</span>
<a name="l00285"></a>00285 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#f031da52c8a160fd1ee6e4c793f8c78a">value_neg_p</a>(pivot)) {
<a name="l00286"></a>00286 <a class="code" href="source_2arith_2arithmetique_8h.html#0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>(pivot,pivot); <span class="comment">/* pivot = -pivot */</span>
<a name="l00287"></a>00287 <span class="keywordflow">for</span> (j=0; j<nc; j++)
<a name="l00288"></a>00288 <a class="code" href="source_2arith_2arithmetique_8h.html#0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>(H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j],H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j]);
<a name="l00289"></a>00289
<a name="l00290"></a>00290 <span class="comment">/* H->p[rank][j] = -(H->p[rank][j]); */</span>
<a name="l00291"></a>00291 <span class="keywordflow">if</span> (U)
<a name="l00292"></a>00292 <span class="keywordflow">for</span> (j=0; j<nr; j++)
<a name="l00293"></a>00293 <a class="code" href="source_2arith_2arithmetique_8h.html#0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>(U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j],U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j]);
<a name="l00294"></a>00294
<a name="l00295"></a>00295 <span class="comment">/* U->p[rank][j] = -(U->p[rank][j]); */</span>
<a name="l00296"></a>00296 <span class="keywordflow">if</span> (Q)
<a name="l00297"></a>00297 <span class="keywordflow">for</span> (j=0; j<nr; j++)
<a name="l00298"></a>00298 <a class="code" href="source_2arith_2arithmetique_8h.html#0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>(Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j],Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j]);
<a name="l00299"></a>00299
<a name="l00300"></a>00300 <span class="comment">/* Q->p[rank][j] = -(Q->p[rank][j]); */</span>
<a name="l00301"></a>00301 <span class="preprocessor">#ifdef DEBUG</span>
<a name="l00302"></a>00302 <span class="preprocessor"></span> fprintf(stderr,<span class="stringliteral">"Negate row %d -----------\n"</span>, rank+1);
<a name="l00303"></a>00303 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,0,H);
<a name="l00304"></a>00304 <span class="preprocessor">#endif</span>
<a name="l00305"></a>00305 <span class="preprocessor"></span>
<a name="l00306"></a>00306 }
<a name="l00307"></a>00307 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(pivot)) {
<a name="l00308"></a>00308
<a name="l00309"></a>00309 <span class="comment">/* 4. Reduce the column modulo the pivot */</span>
<a name="l00310"></a>00310 <span class="comment">/* This eventually zeros out everything below the */</span>
<a name="l00311"></a>00311 <span class="comment">/* diagonal and produces an upper triangular matrix */</span>
<a name="l00312"></a>00312
<a name="l00313"></a>00313 <span class="keywordflow">for</span> (i=rank+1;i<nr;i++) {
<a name="l00314"></a>00314 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(x,H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][k]);
<a name="l00315"></a>00315 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(x)) {
<a name="l00316"></a>00316 <a class="code" href="source_2arith_2arithmetique_8h.html#e77f928488d756f77270649775dbdc1d">value_modulus</a>(aux,x,pivot);
<a name="l00317"></a>00317
<a name="l00318"></a>00318 <span class="comment">/* floor[integer division] (corrected for neg x) */</span>
<a name="l00319"></a>00319 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#f031da52c8a160fd1ee6e4c793f8c78a">value_neg_p</a>(x) && <a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(aux)) {
<a name="l00320"></a>00320
<a name="l00321"></a>00321 <span class="comment">/* x=(x/pivot)-1; */</span>
<a name="l00322"></a>00322 <a class="code" href="source_2arith_2arithmetique_8h.html#c633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(x,x,pivot);
<a name="l00323"></a>00323 <a class="code" href="source_2arith_2arithmetique_8h.html#7e293e9652086118cc5b660e6022767c">value_decrement</a>(x,x);
<a name="l00324"></a>00324 }
<a name="l00325"></a>00325 <span class="keywordflow">else</span>
<a name="l00326"></a>00326 <a class="code" href="source_2arith_2arithmetique_8h.html#c633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(x,x,pivot);
<a name="l00327"></a>00327 <span class="keywordflow">for</span> (j=0; j<nc; j++) {
<a name="l00328"></a>00328 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(aux,x,H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j]);
<a name="l00329"></a>00329 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],aux);
<a name="l00330"></a>00330 }
<a name="l00331"></a>00331
<a name="l00332"></a>00332 <span class="comment">/* U->p[i][j] -= (x * U->p[rank][j]); */</span>
<a name="l00333"></a>00333 <span class="keywordflow">if</span> (U)
<a name="l00334"></a>00334 <span class="keywordflow">for</span> (j=0; j<nr; j++) {
<a name="l00335"></a>00335 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(aux,x,U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j]);
<a name="l00336"></a>00336 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],aux);
<a name="l00337"></a>00337 }
<a name="l00338"></a>00338
<a name="l00339"></a>00339 <span class="comment">/* Q->p[rank][j] += (x * Q->p[i][j]); */</span>
<a name="l00340"></a>00340 <span class="keywordflow">if</span> (Q)
<a name="l00341"></a>00341 <span class="keywordflow">for</span>(j=0;j<nr;j++) {
<a name="l00342"></a>00342 <a class="code" href="source_2arith_2arithmetique_8h.html#9900fbd029b36f5887e587642a064a52">value_addmul</a>(Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j], x, Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j]);
<a name="l00343"></a>00343 }
<a name="l00344"></a>00344 reduced = 1;
<a name="l00345"></a>00345
<a name="l00346"></a>00346 <span class="preprocessor">#ifdef DEBUG</span>
<a name="l00347"></a>00347 <span class="preprocessor"></span> fprintf(stderr,
<a name="l00348"></a>00348 <span class="stringliteral">"row %d = row %d - %d row %d -----------\n"</span>, i+1, i+1, x, rank+1);
<a name="l00349"></a>00349 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,0,H);
<a name="l00350"></a>00350 <span class="preprocessor">#endif</span>
<a name="l00351"></a>00351 <span class="preprocessor"></span>
<a name="l00352"></a>00352 } <span class="comment">/* if (x) */</span>
<a name="l00353"></a>00353 } <span class="comment">/* for (i) */</span>
<a name="l00354"></a>00354 } <span class="comment">/* if (pivot != 0) */</span>
<a name="l00355"></a>00355 } <span class="comment">/* while (reduced) */</span>
<a name="l00356"></a>00356
<a name="l00357"></a>00357 <span class="comment">/* Last finish up this column */</span>
<a name="l00358"></a>00358 <span class="comment">/* 5. Make pivot column positive (above pivot row) */</span>
<a name="l00359"></a>00359 <span class="comment">/* x should be zero for i>k */</span>
<a name="l00360"></a>00360
<a name="l00361"></a>00361 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(pivot)) {
<a name="l00362"></a>00362 <span class="keywordflow">for</span> (i=0; i<rank; i++) {
<a name="l00363"></a>00363 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(x,H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][k]);
<a name="l00364"></a>00364 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(x)) {
<a name="l00365"></a>00365 <a class="code" href="source_2arith_2arithmetique_8h.html#e77f928488d756f77270649775dbdc1d">value_modulus</a>(aux,x,pivot);
<a name="l00366"></a>00366
<a name="l00367"></a>00367 <span class="comment">/* floor[integer division] (corrected for neg x) */</span>
<a name="l00368"></a>00368 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#f031da52c8a160fd1ee6e4c793f8c78a">value_neg_p</a>(x) && <a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(aux)) {
<a name="l00369"></a>00369 <a class="code" href="source_2arith_2arithmetique_8h.html#c633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(x,x,pivot);
<a name="l00370"></a>00370 <a class="code" href="source_2arith_2arithmetique_8h.html#7e293e9652086118cc5b660e6022767c">value_decrement</a>(x,x);
<a name="l00371"></a>00371
<a name="l00372"></a>00372 <span class="comment">/* x=(x/pivot)-1; */</span>
<a name="l00373"></a>00373 }
<a name="l00374"></a>00374 <span class="keywordflow">else</span>
<a name="l00375"></a>00375 <a class="code" href="source_2arith_2arithmetique_8h.html#c633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(x,x,pivot);
<a name="l00376"></a>00376
<a name="l00377"></a>00377 <span class="comment">/* H->p[i][j] -= x * H->p[rank][j]; */</span>
<a name="l00378"></a>00378 <span class="keywordflow">for</span> (j=0; j<nc; j++) {
<a name="l00379"></a>00379 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(aux,x,H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j]);
<a name="l00380"></a>00380 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],aux);
<a name="l00381"></a>00381 }
<a name="l00382"></a>00382
<a name="l00383"></a>00383 <span class="comment">/* U->p[i][j] -= x * U->p[rank][j]; */</span>
<a name="l00384"></a>00384 <span class="keywordflow">if</span> (U)
<a name="l00385"></a>00385 <span class="keywordflow">for</span> (j=0; j<nr; j++) {
<a name="l00386"></a>00386 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(aux,x,U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j]);
<a name="l00387"></a>00387 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],aux);
<a name="l00388"></a>00388 }
<a name="l00389"></a>00389
<a name="l00390"></a>00390 <span class="comment">/* Q->p[rank][j] += x * Q->p[i][j]; */</span>
<a name="l00391"></a>00391 <span class="keywordflow">if</span> (Q)
<a name="l00392"></a>00392 <span class="keywordflow">for</span> (j=0; j<nr; j++) {
<a name="l00393"></a>00393 <a class="code" href="source_2arith_2arithmetique_8h.html#9900fbd029b36f5887e587642a064a52">value_addmul</a>(Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[rank][j], x, Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j]);
<a name="l00394"></a>00394 }
<a name="l00395"></a>00395 <span class="preprocessor">#ifdef DEBUG</span>
<a name="l00396"></a>00396 <span class="preprocessor"></span> fprintf(stderr,
<a name="l00397"></a>00397 <span class="stringliteral">"row %d = row %d - %d row %d -----------\n"</span>, i+1, i+1, x, rank+1);
<a name="l00398"></a>00398 <a class="code" href="matrix_8c.html#d4c3c350dba633f72bbcf3609b6b67d7">Matrix_Print</a>(stderr,0,H);
<a name="l00399"></a>00399 <span class="preprocessor">#endif</span>
<a name="l00400"></a>00400 <span class="preprocessor"></span> } <span class="comment">/* if (x) */</span>
<a name="l00401"></a>00401 } <span class="comment">/* for (i) */</span>
<a name="l00402"></a>00402 rank++;
<a name="l00403"></a>00403 } <span class="comment">/* if (pivot!=0) */</span>
<a name="l00404"></a>00404 } <span class="comment">/* for (k) */</span>
<a name="l00405"></a>00405
<a name="l00406"></a>00406 <span class="comment">/* Clear all the 'Value' variables */</span>
<a name="l00407"></a>00407 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(pivot); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(x);
<a name="l00408"></a>00408 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(aux);
<a name="l00409"></a>00409 <span class="keywordflow">for</span>(i=0;i<nc;i++)
<a name="l00410"></a>00410 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(temp1[i]);
<a name="l00411"></a>00411 <span class="keywordflow">for</span>(i=0;i<nr;i++)
<a name="l00412"></a>00412 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(temp2[i]);
<a name="l00413"></a>00413 free(temp2);
<a name="l00414"></a>00414 free(temp1);
<a name="l00415"></a>00415 <span class="keywordflow">return</span> rank;
<a name="l00416"></a>00416 } <span class="comment">/* Hermite */</span>
<a name="l00417"></a>00417
<a name="l00418"></a><a class="code" href="matrix_8h.html#9d112ac078583626580f848b51a515f3">00418</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#9d112ac078583626580f848b51a515f3">right_hermite</a>(<a class="code" href="structmatrix.html">Matrix</a> *A,<a class="code" href="structmatrix.html">Matrix</a> **Hp,<a class="code" href="structmatrix.html">Matrix</a> **Up,<a class="code" href="structmatrix.html">Matrix</a> **Qp) {
<a name="l00419"></a>00419
<a name="l00420"></a>00420 <a class="code" href="structmatrix.html">Matrix</a> *H, *Q, *U;
<a name="l00421"></a>00421 <span class="keywordtype">int</span> i, j, <a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>, nc, rank;
<a name="l00422"></a>00422 Value tmp;
<a name="l00423"></a>00423
<a name="l00424"></a>00424 <span class="comment">/* Computes form: A = QH , UA = H */</span>
<a name="l00425"></a>00425 nc = A-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;
<a name="l00426"></a>00426 nr = A-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l00427"></a>00427
<a name="l00428"></a>00428 <span class="comment">/* H = A */</span>
<a name="l00429"></a>00429 *Hp = H = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nr,nc);
<a name="l00430"></a>00430 <span class="keywordflow">if</span> (!H) {
<a name="l00431"></a>00431 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"DomRightHermite"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00432"></a>00432 <span class="keywordflow">return</span>;
<a name="l00433"></a>00433 }
<a name="l00434"></a>00434
<a name="l00435"></a>00435 <span class="comment">/* Initialize all the 'Value' variables */</span>
<a name="l00436"></a>00436 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp);
<a name="l00437"></a>00437
<a name="l00438"></a>00438 <a class="code" href="vector_8c.html#b6eca9ad03a2f4a60dd79182289e0e0b">Vector_Copy</a>(A-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>,H-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>,nr*nc);
<a name="l00439"></a>00439
<a name="l00440"></a>00440 <span class="comment">/* U = I */</span>
<a name="l00441"></a>00441 <span class="keywordflow">if</span> (Up) {
<a name="l00442"></a>00442 *Up = U = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nr, nr);
<a name="l00443"></a>00443 <span class="keywordflow">if</span> (!U) {
<a name="l00444"></a>00444 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"DomRightHermite"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00445"></a>00445 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00446"></a>00446 <span class="keywordflow">return</span>;
<a name="l00447"></a>00447 }
<a name="l00448"></a>00448 <a class="code" href="vector_8c.html#27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(U-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>,0,nr*nr); <span class="comment">/* zero's */</span>
<a name="l00449"></a>00449 <span class="keywordflow">for</span>(i=0;i<nr;i++) <span class="comment">/* with diagonal of 1's */</span>
<a name="l00450"></a>00450 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i],1);
<a name="l00451"></a>00451 }
<a name="l00452"></a>00452 <span class="keywordflow">else</span>
<a name="l00453"></a>00453 U = (<a class="code" href="structmatrix.html">Matrix</a> *)0;
<a name="l00454"></a>00454
<a name="l00455"></a>00455 <span class="comment">/* Q = I */</span>
<a name="l00456"></a>00456 <span class="comment">/* Actually I compute Q transpose... its easier */</span>
<a name="l00457"></a>00457 <span class="keywordflow">if</span> (Qp) {
<a name="l00458"></a>00458 *Qp = Q = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nr,nr);
<a name="l00459"></a>00459 <span class="keywordflow">if</span> (!Q) {
<a name="l00460"></a>00460 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"DomRightHermite"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00461"></a>00461 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00462"></a>00462 <span class="keywordflow">return</span>;
<a name="l00463"></a>00463 }
<a name="l00464"></a>00464 <a class="code" href="vector_8c.html#27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(Q-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>,0,nr*nr); <span class="comment">/* zero's */</span>
<a name="l00465"></a>00465 <span class="keywordflow">for</span> (i=0;i<nr;i++) <span class="comment">/* with diagonal of 1's */</span>
<a name="l00466"></a>00466 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i],1);
<a name="l00467"></a>00467 }
<a name="l00468"></a>00468 <span class="keywordflow">else</span>
<a name="l00469"></a>00469 Q = (<a class="code" href="structmatrix.html">Matrix</a> *)0;
<a name="l00470"></a>00470
<a name="l00471"></a>00471 rank = <a class="code" href="matrix_8c.html#0913852253401fd132b31cc4a205c1de">hermite</a>(H,U,Q);
<a name="l00472"></a>00472
<a name="l00473"></a>00473 <span class="comment">/* Q is returned transposed */</span>
<a name="l00474"></a>00474 <span class="comment">/* Transpose Q */</span>
<a name="l00475"></a>00475 <span class="keywordflow">if</span> (Q) {
<a name="l00476"></a>00476 <span class="keywordflow">for</span> (i=0; i<nr; i++) {
<a name="l00477"></a>00477 <span class="keywordflow">for</span> (j=i+1; j<nr; j++) {
<a name="l00478"></a>00478 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(tmp,Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j]);
<a name="l00479"></a>00479 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i] );
<a name="l00480"></a>00480 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i],tmp);
<a name="l00481"></a>00481 }
<a name="l00482"></a>00482 }
<a name="l00483"></a>00483 }
<a name="l00484"></a>00484 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00485"></a>00485 <span class="keywordflow">return</span>;
<a name="l00486"></a>00486 } <span class="comment">/* right_hermite */</span>
<a name="l00487"></a>00487
<a name="l00488"></a><a class="code" href="matrix_8h.html#dcbe5ee3f0c28fb35aed49f4e1f40f5b">00488</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#dcbe5ee3f0c28fb35aed49f4e1f40f5b">left_hermite</a>(<a class="code" href="structmatrix.html">Matrix</a> *A,<a class="code" href="structmatrix.html">Matrix</a> **Hp,<a class="code" href="structmatrix.html">Matrix</a> **Qp,<a class="code" href="structmatrix.html">Matrix</a> **Up) {
<a name="l00489"></a>00489
<a name="l00490"></a>00490 <a class="code" href="structmatrix.html">Matrix</a> *H, *HT, *Q, *U;
<a name="l00491"></a>00491 <span class="keywordtype">int</span> i, j, nc, <a class="code" href="polyparam_8c.html#2833bf188e6bf292fa7d61e2dd54d622">nr</a>, rank;
<a name="l00492"></a>00492 Value tmp;
<a name="l00493"></a>00493
<a name="l00494"></a>00494 <span class="comment">/* Computes left form: A = HQ , AU = H , </span>
<a name="l00495"></a>00495 <span class="comment"> T T T T T T</span>
<a name="l00496"></a>00496 <span class="comment"> using right form A = Q H , U A = H */</span>
<a name="l00497"></a>00497
<a name="l00498"></a>00498 nr = A-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l00499"></a>00499 nc = A-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;
<a name="l00500"></a>00500
<a name="l00501"></a>00501 <span class="comment">/* HT = A transpose */</span>
<a name="l00502"></a>00502 HT = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nc, nr);
<a name="l00503"></a>00503 <span class="keywordflow">if</span> (!HT) {
<a name="l00504"></a>00504 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"DomLeftHermite"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00505"></a>00505 <span class="keywordflow">return</span>;
<a name="l00506"></a>00506 }
<a name="l00507"></a>00507 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(tmp);
<a name="l00508"></a>00508 <span class="keywordflow">for</span> (i=0; i<nr; i++)
<a name="l00509"></a>00509 <span class="keywordflow">for</span> (j=0; j<nc; j++)
<a name="l00510"></a>00510 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(HT-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i],A-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j]);
<a name="l00511"></a>00511
<a name="l00512"></a>00512 <span class="comment">/* U = I */</span>
<a name="l00513"></a>00513 <span class="keywordflow">if</span> (Up) {
<a name="l00514"></a>00514 *Up = U = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nc,nc);
<a name="l00515"></a>00515 <span class="keywordflow">if</span> (!U) {
<a name="l00516"></a>00516 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"DomLeftHermite"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00517"></a>00517 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00518"></a>00518 <span class="keywordflow">return</span>;
<a name="l00519"></a>00519 }
<a name="l00520"></a>00520 <a class="code" href="vector_8c.html#27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(U-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>,0,nc*nc); <span class="comment">/* zero's */</span>
<a name="l00521"></a>00521 <span class="keywordflow">for</span> (i=0;i<nc;i++) <span class="comment">/* with diagonal of 1's */</span>
<a name="l00522"></a>00522 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i],1);
<a name="l00523"></a>00523 }
<a name="l00524"></a>00524 <span class="keywordflow">else</span> U=(<a class="code" href="structmatrix.html">Matrix</a> *)0;
<a name="l00525"></a>00525
<a name="l00526"></a>00526 <span class="comment">/* Q = I */</span>
<a name="l00527"></a>00527 <span class="keywordflow">if</span> (Qp) {
<a name="l00528"></a>00528 *Qp = Q = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nc, nc);
<a name="l00529"></a>00529 <span class="keywordflow">if</span> (!Q) {
<a name="l00530"></a>00530 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"DomLeftHermite"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00531"></a>00531 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00532"></a>00532 <span class="keywordflow">return</span>;
<a name="l00533"></a>00533 }
<a name="l00534"></a>00534 <a class="code" href="vector_8c.html#27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(Q-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>,0,nc*nc); <span class="comment">/* zero's */</span>
<a name="l00535"></a>00535 <span class="keywordflow">for</span> (i=0;i<nc;i++) <span class="comment">/* with diagonal of 1's */</span>
<a name="l00536"></a>00536 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(Q-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i],1);
<a name="l00537"></a>00537 }
<a name="l00538"></a>00538 <span class="keywordflow">else</span> Q=(<a class="code" href="structmatrix.html">Matrix</a> *)0;
<a name="l00539"></a>00539 rank = <a class="code" href="matrix_8c.html#0913852253401fd132b31cc4a205c1de">hermite</a>(HT,U,Q);
<a name="l00540"></a>00540
<a name="l00541"></a>00541 <span class="comment">/* H = HT transpose */</span>
<a name="l00542"></a>00542 *Hp = H = <a class="code" href="matrix_8c.html#c0b29e1d99a2823ad00b5f2157879d80">Matrix_Alloc</a>(nr,nc);
<a name="l00543"></a>00543 <span class="keywordflow">if</span> (!H) {
<a name="l00544"></a>00544 <a class="code" href="errormsg_8c.html#1ac398d9106568a1991a001172e0e00b">errormsg1</a>(<span class="stringliteral">"DomLeftHermite"</span>, <span class="stringliteral">"outofmem"</span>, <span class="stringliteral">"out of memory space"</span>);
<a name="l00545"></a>00545 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00546"></a>00546 <span class="keywordflow">return</span>;
<a name="l00547"></a>00547 }
<a name="l00548"></a>00548 <span class="keywordflow">for</span> (i=0; i<nr; i++)
<a name="l00549"></a>00549 <span class="keywordflow">for</span> (j=0;j<nc;j++)
<a name="l00550"></a>00550 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(H-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],HT-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i]);
<a name="l00551"></a>00551 <a class="code" href="matrix_8c.html#fcb312b7c12a6997cd66964ecc34e1a6">Matrix_Free</a>(HT);
<a name="l00552"></a>00552
<a name="l00553"></a>00553 <span class="comment">/* Transpose U */</span>
<a name="l00554"></a>00554 <span class="keywordflow">if</span> (U) {
<a name="l00555"></a>00555 <span class="keywordflow">for</span> (i=0; i<nc; i++) {
<a name="l00556"></a>00556 <span class="keywordflow">for</span> (j=i+1; j<nc; j++) {
<a name="l00557"></a>00557 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(tmp,U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j]);
<a name="l00558"></a>00558 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i] );
<a name="l00559"></a>00559 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(U-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i],tmp);
<a name="l00560"></a>00560 }
<a name="l00561"></a>00561 }
<a name="l00562"></a>00562 }
<a name="l00563"></a>00563 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(tmp);
<a name="l00564"></a>00564 } <span class="comment">/* left_hermite */</span>
<a name="l00565"></a>00565
<a name="l00566"></a>00566 <span class="comment">/*</span>
<a name="l00567"></a>00567 <span class="comment"> * Given a integer matrix 'Mat'(k x k), compute its inverse rational matrix </span>
<a name="l00568"></a>00568 <span class="comment"> * 'MatInv' k x (k+1). The last column of each row in matrix MatInv is used </span>
<a name="l00569"></a>00569 <span class="comment"> * to store the common denominator of the entries in a row. The output is 1,</span>
<a name="l00570"></a>00570 <span class="comment"> * if 'Mat' is non-singular (invertible), otherwise the output is 0. Note:: </span>
<a name="l00571"></a>00571 <span class="comment"> * (1) Matrix 'Mat' is modified during the inverse operation.</span>
<a name="l00572"></a>00572 <span class="comment"> * (2) Matrix 'MatInv' must be preallocated before passing into this function.</span>
<a name="l00573"></a>00573 <span class="comment"> */</span>
<a name="l00574"></a><a class="code" href="matrix_8h.html#3fd6efb2ec63815561e0b8f143c6191f">00574</a> <span class="keywordtype">int</span> <a class="code" href="matrix_8c.html#e2b2f031eb75c5011091536d7ef4befc">MatInverse</a>(<a class="code" href="structmatrix.html">Matrix</a> *Mat,<a class="code" href="structmatrix.html">Matrix</a> *MatInv ) {
<a name="l00575"></a>00575
<a name="l00576"></a>00576 <span class="keywordtype">int</span> i, k, j, c;
<a name="l00577"></a>00577 Value x, gcd, piv;
<a name="l00578"></a>00578 Value m1,m2;
<a name="l00579"></a>00579
<a name="l00580"></a>00580 <span class="keywordflow">if</span>(Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a> != Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>) {
<a name="l00581"></a>00581 fprintf(stderr,<span class="stringliteral">"Trying to invert a non-square matrix !\n"</span>);
<a name="l00582"></a>00582 <span class="keywordflow">return</span> 0;
<a name="l00583"></a>00583 }
<a name="l00584"></a>00584
<a name="l00585"></a>00585 <span class="comment">/* Initialize all the 'Value' variables */</span>
<a name="l00586"></a>00586 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(x); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(piv);
<a name="l00587"></a>00587 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m2);
<a name="l00588"></a>00588
<a name="l00589"></a>00589 k = Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l00590"></a>00590
<a name="l00591"></a>00591 <span class="comment">/* Initialise MatInv */</span>
<a name="l00592"></a>00592 <a class="code" href="vector_8c.html#27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[0],0,k*(k+1));
<a name="l00593"></a>00593
<a name="l00594"></a>00594 <span class="comment">/* Initialize 'MatInv' to Identity matrix form. Each diagonal entry is set*/</span>
<a name="l00595"></a>00595 <span class="comment">/* to 1. Last column of each row (denominator of each entry in a row) is */</span>
<a name="l00596"></a>00596 <span class="comment">/* also set to 1. */</span>
<a name="l00597"></a>00597 <span class="keywordflow">for</span>(i=0;i<k;++i) {
<a name="l00598"></a>00598 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i],1);
<a name="l00599"></a>00599 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][k],1); <span class="comment">/* denum */</span>
<a name="l00600"></a>00600 }
<a name="l00601"></a>00601 <span class="comment">/* Apply Gauss-Jordan elimination method on the two matrices 'Mat' and */</span>
<a name="l00602"></a>00602 <span class="comment">/* 'MatInv' in parallel. */</span>
<a name="l00603"></a>00603 <span class="keywordflow">for</span>(i=0;i<k;++i) {
<a name="l00604"></a>00604
<a name="l00605"></a>00605 <span class="comment">/* Check if the diagonal entry (new pivot) is non-zero or not */</span>
<a name="l00606"></a>00606 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i])) {
<a name="l00607"></a>00607
<a name="l00608"></a>00608 <span class="comment">/* Search for a non-zero pivot down the column(i) */</span>
<a name="l00609"></a>00609 <span class="keywordflow">for</span>(j=i;j<k;++j)
<a name="l00610"></a>00610 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i]))
<a name="l00611"></a>00611 <span class="keywordflow">break</span>;
<a name="l00612"></a>00612
<a name="l00613"></a>00613 <span class="comment">/* If no non-zero pivot is found, the matrix 'Mat' is non-invertible */</span>
<a name="l00614"></a>00614 <span class="comment">/* Return 0. */</span>
<a name="l00615"></a>00615 <span class="keywordflow">if</span>(j==k) {
<a name="l00616"></a>00616
<a name="l00617"></a>00617 <span class="comment">/* Clear all the 'Value' variables */</span>
<a name="l00618"></a>00618 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(x); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(piv);
<a name="l00619"></a>00619 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00620"></a>00620 <span class="keywordflow">return</span> 0;
<a name="l00621"></a>00621 }
<a name="l00622"></a>00622
<a name="l00623"></a>00623 <span class="comment">/* Exchange the rows, row(i) and row(j) so that the diagonal element */</span>
<a name="l00624"></a>00624 <span class="comment">/* Mat->p[i][i] (pivot) is non-zero. Repeat the same operations on */</span>
<a name="l00625"></a>00625 <span class="comment">/* matrix 'MatInv'. */</span>
<a name="l00626"></a>00626 <span class="keywordflow">for</span>(c=0;c<k;++c) {
<a name="l00627"></a>00627
<a name="l00628"></a>00628 <span class="comment">/* Interchange rows, row(i) and row(j) of matrix 'Mat' */</span>
<a name="l00629"></a>00629 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(x,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c]);
<a name="l00630"></a>00630 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c]);
<a name="l00631"></a>00631 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c],x);
<a name="l00632"></a>00632
<a name="l00633"></a>00633 <span class="comment">/* Interchange rows, row(i) and row(j) of matrix 'MatInv' */</span>
<a name="l00634"></a>00634 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(x,MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c]);
<a name="l00635"></a>00635 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c]);
<a name="l00636"></a>00636 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c],x);
<a name="l00637"></a>00637 }
<a name="l00638"></a>00638 }
<a name="l00639"></a>00639
<a name="l00640"></a>00640 <span class="comment">/* Make all the entries in column(i) of matrix 'Mat' zero except the */</span>
<a name="l00641"></a>00641 <span class="comment">/* diagonal entry. Repeat the same sequence of operations on matrix */</span>
<a name="l00642"></a>00642 <span class="comment">/* 'MatInv'. */</span>
<a name="l00643"></a>00643 <span class="keywordflow">for</span>(j=0;j<k;++j) {
<a name="l00644"></a>00644 <span class="keywordflow">if</span> (j==i) <span class="keywordflow">continue</span>; <span class="comment">/* Skip the pivot */</span>
<a name="l00645"></a>00645 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(x,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i]);
<a name="l00646"></a>00646 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(x)) {
<a name="l00647"></a>00647 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(piv,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i]);
<a name="l00648"></a>00648 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, x, piv);
<a name="l00649"></a>00649 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(gcd) ) {
<a name="l00650"></a>00650 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(x, x, gcd);
<a name="l00651"></a>00651 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(piv, piv, gcd);
<a name="l00652"></a>00652 }
<a name="l00653"></a>00653 <span class="keywordflow">for</span>(c=((j>i)?i:0);c<k;++c) {
<a name="l00654"></a>00654 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m1,piv,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c]);
<a name="l00655"></a>00655 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m2,x,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c]);
<a name="l00656"></a>00656 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],m1,m2);
<a name="l00657"></a>00657 }
<a name="l00658"></a>00658 <span class="keywordflow">for</span>(c=0;c<k;++c) {
<a name="l00659"></a>00659 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m1,piv,MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c]);
<a name="l00660"></a>00660 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m2,x,MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c]);
<a name="l00661"></a>00661 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],m1,m2);
<a name="l00662"></a>00662 }
<a name="l00663"></a>00663
<a name="l00664"></a>00664 <span class="comment">/* Simplify row(j) of the two matrices 'Mat' and 'MatInv' by */</span>
<a name="l00665"></a>00665 <span class="comment">/* dividing the rows with the common GCD. */</span>
<a name="l00666"></a>00666 <a class="code" href="vector_8c.html#801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(&MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][0],k,&m1);
<a name="l00667"></a>00667 <a class="code" href="vector_8c.html#801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(&Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][0],k,&m2);
<a name="l00668"></a>00668 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, m1, m2);
<a name="l00669"></a>00669 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(gcd)) {
<a name="l00670"></a>00670 <span class="keywordflow">for</span>(c=0;c<k;++c) {
<a name="l00671"></a>00671 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], gcd);
<a name="l00672"></a>00672 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], gcd);
<a name="l00673"></a>00673 }
<a name="l00674"></a>00674 }
<a name="l00675"></a>00675 }
<a name="l00676"></a>00676 }
<a name="l00677"></a>00677 }
<a name="l00678"></a>00678
<a name="l00679"></a>00679 <span class="comment">/* Simplify every row so that 'Mat' reduces to Identity matrix. Perform */</span>
<a name="l00680"></a>00680 <span class="comment">/* the same sequence of operations on the matrix 'MatInv'. */</span>
<a name="l00681"></a>00681 <span class="keywordflow">for</span>(j=0;j<k;++j) {
<a name="l00682"></a>00682 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][k],Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][j]);
<a name="l00683"></a>00683
<a name="l00684"></a>00684 <span class="comment">/* Make the last column (denominator of each entry) of every row greater */</span>
<a name="l00685"></a>00685 <span class="comment">/* than zero. */</span>
<a name="l00686"></a>00686 <a class="code" href="vector_8c.html#4095f8badebbf9903f88da363af136f8">Vector_Normalize_Positive</a>(&MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][0],k+1,k);
<a name="l00687"></a>00687 }
<a name="l00688"></a>00688
<a name="l00689"></a>00689 <span class="comment">/* Clear all the 'Value' variables */</span>
<a name="l00690"></a>00690 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(x); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(piv);
<a name="l00691"></a>00691 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00692"></a>00692
<a name="l00693"></a>00693 <span class="keywordflow">return</span> 1;
<a name="l00694"></a>00694 } <span class="comment">/* Mat_Inverse */</span>
<a name="l00695"></a>00695
<a name="l00696"></a>00696 <span class="comment">/*</span>
<a name="l00697"></a>00697 <span class="comment"> * Given (m x n) integer matrix 'X' and n x (k+1) rational matrix 'P', compute</span>
<a name="l00698"></a>00698 <span class="comment"> * the rational m x (k+1) rational matrix 'S'. The last column in each row of</span>
<a name="l00699"></a>00699 <span class="comment"> * the rational matrices is used to store the common denominator of elements</span>
<a name="l00700"></a>00700 <span class="comment"> * in a row. </span>
<a name="l00701"></a>00701 <span class="comment"> */</span>
<a name="l00702"></a><a class="code" href="matrix_8h.html#db8526f2ba863572c60b255c8b27c186">00702</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#db8526f2ba863572c60b255c8b27c186">rat_prodmat</a>(<a class="code" href="structmatrix.html">Matrix</a> *S,<a class="code" href="structmatrix.html">Matrix</a> *X,<a class="code" href="structmatrix.html">Matrix</a> *P) {
<a name="l00703"></a>00703
<a name="l00704"></a>00704 <span class="keywordtype">int</span> i,j,k;
<a name="l00705"></a>00705 <span class="keywordtype">int</span> last_column_index = P-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a> - 1;
<a name="l00706"></a>00706 Value lcm, old_lcm,gcd,last_column_entry,s1;
<a name="l00707"></a>00707 Value m1,m2;
<a name="l00708"></a>00708
<a name="l00709"></a>00709 <span class="comment">/* Initialize all the 'Value' variables */</span>
<a name="l00710"></a>00710 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(lcm); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(old_lcm); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(gcd);
<a name="l00711"></a>00711 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(last_column_entry); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(s1);
<a name="l00712"></a>00712 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m2);
<a name="l00713"></a>00713
<a name="l00714"></a>00714 <span class="comment">/* Compute the LCM of last column entries (denominators) of rows */</span>
<a name="l00715"></a>00715 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(lcm,P-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[0][last_column_index]);
<a name="l00716"></a>00716 <span class="keywordflow">for</span>(k=1;k<P-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++k) {
<a name="l00717"></a>00717 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(old_lcm,lcm);
<a name="l00718"></a>00718 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(last_column_entry,P-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][last_column_index]);
<a name="l00719"></a>00719 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, lcm, last_column_entry);
<a name="l00720"></a>00720 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(m1, last_column_entry, gcd);
<a name="l00721"></a>00721 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(lcm,lcm,m1);
<a name="l00722"></a>00722 }
<a name="l00723"></a>00723
<a name="l00724"></a>00724 <span class="comment">/* S[i][j] = Sum(X[i][k] * P[k][j] where Sum is extended over k = 1..nbrows*/</span>
<a name="l00725"></a>00725 <span class="keywordflow">for</span>(i=0;i<X-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++i)
<a name="l00726"></a>00726 <span class="keywordflow">for</span>(j=0;j<P-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>-1;++j) {
<a name="l00727"></a>00727
<a name="l00728"></a>00728 <span class="comment">/* Initialize s1 to zero. */</span>
<a name="l00729"></a>00729 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(s1,0);
<a name="l00730"></a>00730 <span class="keywordflow">for</span>(k=0;k<P-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++k) {
<a name="l00731"></a>00731
<a name="l00732"></a>00732 <span class="comment">/* If the LCM of last column entries is one, simply add the products */</span>
<a name="l00733"></a>00733 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#61db0ba9ba925615ec70eb92e40b9ef4">value_one_p</a>(lcm)) {
<a name="l00734"></a>00734 <a class="code" href="source_2arith_2arithmetique_8h.html#9900fbd029b36f5887e587642a064a52">value_addmul</a>(s1, X-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][k], P-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][j]);
<a name="l00735"></a>00735 }
<a name="l00736"></a>00736
<a name="l00737"></a>00737 <span class="comment">/* Numerator (num) and denominator (denom) of S[i][j] is given by :- */</span>
<a name="l00738"></a>00738 <span class="comment">/* numerator = Sum(X[i][k]*P[k][j]*lcm/P[k][last_column_index]) and */</span>
<a name="l00739"></a>00739 <span class="comment">/* denominator= lcm where Sum is extended over k = 1..nbrows. */</span>
<a name="l00740"></a>00740 <span class="keywordflow">else</span> {
<a name="l00741"></a>00741 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m1,X-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][k],P-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][j]);
<a name="l00742"></a>00742 <a class="code" href="source_2arith_2arithmetique_8h.html#c633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(m2,lcm,P-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[k][last_column_index]);
<a name="l00743"></a>00743 <a class="code" href="source_2arith_2arithmetique_8h.html#9900fbd029b36f5887e587642a064a52">value_addmul</a>(s1, m1, m2);
<a name="l00744"></a>00744 }
<a name="l00745"></a>00745 }
<a name="l00746"></a>00746 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(S-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][j],s1);
<a name="l00747"></a>00747 }
<a name="l00748"></a>00748
<a name="l00749"></a>00749 <span class="keywordflow">for</span>(i=0;i<S-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;++i) {
<a name="l00750"></a>00750 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(S-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][last_column_index],lcm);
<a name="l00751"></a>00751
<a name="l00752"></a>00752 <span class="comment">/* Normalize the rows so that last element >=0 */</span>
<a name="l00753"></a>00753 <a class="code" href="vector_8c.html#4095f8badebbf9903f88da363af136f8">Vector_Normalize_Positive</a>(&S-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][0],S-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>,S-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>-1);
<a name="l00754"></a>00754 }
<a name="l00755"></a>00755
<a name="l00756"></a>00756 <span class="comment">/* Clear all the 'Value' variables */</span>
<a name="l00757"></a>00757 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(lcm); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(old_lcm); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(gcd);
<a name="l00758"></a>00758 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(last_column_entry); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(s1);
<a name="l00759"></a>00759 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00760"></a>00760
<a name="l00761"></a>00761 <span class="keywordflow">return</span>;
<a name="l00762"></a>00762 } <span class="comment">/* rat_prodmat */</span>
<a name="l00763"></a>00763
<a name="l00764"></a>00764 <span class="comment">/*</span>
<a name="l00765"></a>00765 <span class="comment"> * Given a matrix 'Mat' and vector 'p1', compute the matrix-vector product </span>
<a name="l00766"></a>00766 <span class="comment"> * and store the result in vector 'p2'. </span>
<a name="l00767"></a>00767 <span class="comment"> */</span>
<a name="l00768"></a><a class="code" href="matrix_8h.html#5c3c6a49794ba7b1c6f0e39729f6af56">00768</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#4623e4f52b5c7b43d38dfb14015781ce">Matrix_Vector_Product</a>(<a class="code" href="structmatrix.html">Matrix</a> *Mat,Value *p1,Value *p2) {
<a name="l00769"></a>00769
<a name="l00770"></a>00770 <span class="keywordtype">int</span> NbRows, NbColumns, i, j;
<a name="l00771"></a>00771 Value **cm, *q, *cp1, *cp2;
<a name="l00772"></a>00772
<a name="l00773"></a>00773 NbRows=Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l00774"></a>00774 NbColumns=Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;
<a name="l00775"></a>00775
<a name="l00776"></a>00776 cm = Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>;
<a name="l00777"></a>00777 cp2 = p2;
<a name="l00778"></a>00778 <span class="keywordflow">for</span>(i=0;i<NbRows;i++) {
<a name="l00779"></a>00779 q = *cm++;
<a name="l00780"></a>00780 cp1 = p1;
<a name="l00781"></a>00781 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(*cp2,*q,*cp1);
<a name="l00782"></a>00782 q++;
<a name="l00783"></a>00783 cp1++;
<a name="l00784"></a>00784
<a name="l00785"></a>00785 <span class="comment">/* *cp2 = *q++ * *cp1++ */</span>
<a name="l00786"></a>00786 <span class="keywordflow">for</span>(j=1;j<NbColumns;j++) {
<a name="l00787"></a>00787 <a class="code" href="source_2arith_2arithmetique_8h.html#9900fbd029b36f5887e587642a064a52">value_addmul</a>(*cp2, *q, *cp1);
<a name="l00788"></a>00788 q++;
<a name="l00789"></a>00789 cp1++;
<a name="l00790"></a>00790 }
<a name="l00791"></a>00791 cp2++;
<a name="l00792"></a>00792 }
<a name="l00793"></a>00793 <span class="keywordflow">return</span>;
<a name="l00794"></a>00794 } <span class="comment">/* Matrix_Vector_Product */</span>
<a name="l00795"></a>00795
<a name="l00796"></a>00796 <span class="comment">/*</span>
<a name="l00797"></a>00797 <span class="comment"> * Given a vector 'p1' and a matrix 'Mat', compute the vector-matrix product </span>
<a name="l00798"></a>00798 <span class="comment"> * and store the result in vector 'p2'</span>
<a name="l00799"></a>00799 <span class="comment"> */</span>
<a name="l00800"></a><a class="code" href="matrix_8h.html#314e578183a3d3f48f56a2b1a5637f15">00800</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#15129f9f57a6a92234f4226cb71bcb39">Vector_Matrix_Product</a>(Value *p1,<a class="code" href="structmatrix.html">Matrix</a> *Mat,Value *p2) {
<a name="l00801"></a>00801
<a name="l00802"></a>00802 <span class="keywordtype">int</span> NbRows, NbColumns, i, j;
<a name="l00803"></a>00803 Value **cm, *cp1, *cp2;
<a name="l00804"></a>00804
<a name="l00805"></a>00805 NbRows=Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l00806"></a>00806 NbColumns=Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;
<a name="l00807"></a>00807 cp2 = p2;
<a name="l00808"></a>00808 cm = Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>;
<a name="l00809"></a>00809 <span class="keywordflow">for</span> (j=0;j<NbColumns;j++) {
<a name="l00810"></a>00810 cp1 = p1;
<a name="l00811"></a>00811 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(*cp2,*(*cm+j),*cp1);
<a name="l00812"></a>00812 cp1++;
<a name="l00813"></a>00813
<a name="l00814"></a>00814 <span class="comment">/* *cp2= *(*cm+j) * *cp1++; */</span>
<a name="l00815"></a>00815 <span class="keywordflow">for</span> (i=1;i<NbRows;i++) {
<a name="l00816"></a>00816 <a class="code" href="source_2arith_2arithmetique_8h.html#9900fbd029b36f5887e587642a064a52">value_addmul</a>(*cp2, *(*(cm+i)+j), *cp1);
<a name="l00817"></a>00817 cp1++;
<a name="l00818"></a>00818 }
<a name="l00819"></a>00819 cp2++;
<a name="l00820"></a>00820 }
<a name="l00821"></a>00821 <span class="keywordflow">return</span>;
<a name="l00822"></a>00822 } <span class="comment">/* Vector_Matrix_Product */</span>
<a name="l00823"></a>00823
<a name="l00824"></a>00824 <span class="comment">/* </span>
<a name="l00825"></a>00825 <span class="comment"> * Given matrices 'Mat1' and 'Mat2', compute the matrix product and store in </span>
<a name="l00826"></a>00826 <span class="comment"> * matrix 'Mat3' </span>
<a name="l00827"></a>00827 <span class="comment"> */</span>
<a name="l00828"></a><a class="code" href="matrix_8h.html#e08cf1c743e8b893f07a51a57e2cb1a2">00828</a> <span class="keywordtype">void</span> <a class="code" href="matrix_8c.html#1e967c74adaa2eec868fd737a55b6624">Matrix_Product</a>(<a class="code" href="structmatrix.html">Matrix</a> *Mat1,<a class="code" href="structmatrix.html">Matrix</a> *Mat2,<a class="code" href="structmatrix.html">Matrix</a> *Mat3) {
<a name="l00829"></a>00829
<a name="l00830"></a>00830 <span class="keywordtype">int</span> Size, i, j, k;
<a name="l00831"></a>00831 <span class="keywordtype">unsigned</span> NbRows, NbColumns;
<a name="l00832"></a>00832 Value **q1, **q2, *p1, *p3,sum;
<a name="l00833"></a>00833
<a name="l00834"></a>00834 NbRows = Mat1-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l00835"></a>00835 NbColumns = Mat2-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;
<a name="l00836"></a>00836
<a name="l00837"></a>00837 Size = Mat1-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>;
<a name="l00838"></a>00838 <span class="keywordflow">if</span>(Mat2-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>!=Size||Mat3-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>!=NbRows||Mat3-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>!=NbColumns) {
<a name="l00839"></a>00839 fprintf(stderr, <span class="stringliteral">"? Matrix_Product : incompatable matrix dimension\n"</span>);
<a name="l00840"></a>00840 <span class="keywordflow">return</span>;
<a name="l00841"></a>00841 }
<a name="l00842"></a>00842 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(sum);
<a name="l00843"></a>00843 p3 = Mat3-><a class="code" href="structmatrix.html#9c294a3fd4d273963e27a0c8cd819bd5">p_Init</a>;
<a name="l00844"></a>00844 q1 = Mat1-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>;
<a name="l00845"></a>00845 q2 = Mat2-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>;
<a name="l00846"></a>00846
<a name="l00847"></a>00847 <span class="comment">/* Mat3[i][j] = Sum(Mat1[i][k]*Mat2[k][j] where sum is over k = 1..nbrows */</span>
<a name="l00848"></a>00848 <span class="keywordflow">for</span> (i=0;i<NbRows;i++) {
<a name="l00849"></a>00849 <span class="keywordflow">for</span> (j=0;j<NbColumns;j++) {
<a name="l00850"></a>00850 p1 = *(q1+i);
<a name="l00851"></a>00851 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(sum,0);
<a name="l00852"></a>00852 <span class="keywordflow">for</span> (k=0;k<Size;k++) {
<a name="l00853"></a>00853 <a class="code" href="source_2arith_2arithmetique_8h.html#9900fbd029b36f5887e587642a064a52">value_addmul</a>(sum, *p1, *(*(q2+k)+j));
<a name="l00854"></a>00854 p1++;
<a name="l00855"></a>00855 }
<a name="l00856"></a>00856 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(*p3,sum);
<a name="l00857"></a>00857 p3++;
<a name="l00858"></a>00858 }
<a name="l00859"></a>00859 }
<a name="l00860"></a>00860 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(sum);
<a name="l00861"></a>00861 <span class="keywordflow">return</span>;
<a name="l00862"></a>00862 } <span class="comment">/* Matrix_Product */</span>
<a name="l00863"></a>00863
<a name="l00864"></a>00864 <span class="comment">/*</span>
<a name="l00865"></a>00865 <span class="comment"> * Given a rational matrix 'Mat'(k x k), compute its inverse rational matrix </span>
<a name="l00866"></a>00866 <span class="comment"> * 'MatInv' k x k.</span>
<a name="l00867"></a>00867 <span class="comment"> * The output is 1,</span>
<a name="l00868"></a>00868 <span class="comment"> * if 'Mat' is non-singular (invertible), otherwise the output is 0. Note:: </span>
<a name="l00869"></a>00869 <span class="comment"> * (1) Matrix 'Mat' is modified during the inverse operation.</span>
<a name="l00870"></a>00870 <span class="comment"> * (2) Matrix 'MatInv' must be preallocated before passing into this function.</span>
<a name="l00871"></a>00871 <span class="comment"> */</span>
<a name="l00872"></a><a class="code" href="matrix_8h.html#97aa755c011357ce2146d71ddb88ded6">00872</a> <span class="keywordtype">int</span> <a class="code" href="matrix_8c.html#97aa755c011357ce2146d71ddb88ded6">Matrix_Inverse</a>(<a class="code" href="structmatrix.html">Matrix</a> *Mat,<a class="code" href="structmatrix.html">Matrix</a> *MatInv ) {
<a name="l00873"></a>00873
<a name="l00874"></a>00874 <span class="keywordtype">int</span> i, k, j, c;
<a name="l00875"></a>00875 Value x, gcd, piv;
<a name="l00876"></a>00876 Value m1,m2;
<a name="l00877"></a>00877 Value *den;
<a name="l00878"></a>00878
<a name="l00879"></a>00879 <span class="keywordflow">if</span>(Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a> != Mat-><a class="code" href="structmatrix.html#68858fd3b57684ef38bdfce13c65d182">NbColumns</a>) {
<a name="l00880"></a>00880 fprintf(stderr,<span class="stringliteral">"Trying to invert a non-square matrix !\n"</span>);
<a name="l00881"></a>00881 <span class="keywordflow">return</span> 0;
<a name="l00882"></a>00882 }
<a name="l00883"></a>00883
<a name="l00884"></a>00884 <span class="comment">/* Initialize all the 'Value' variables */</span>
<a name="l00885"></a>00885 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(x); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(piv);
<a name="l00886"></a>00886 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(m2);
<a name="l00887"></a>00887
<a name="l00888"></a>00888 k = Mat-><a class="code" href="structmatrix.html#16ad614d15c6e81c0041e877b623c72d">NbRows</a>;
<a name="l00889"></a>00889
<a name="l00890"></a>00890 <span class="comment">/* Initialise MatInv */</span>
<a name="l00891"></a>00891 <a class="code" href="vector_8c.html#27ccb3ea01f3a496bb799fb99e9e3075">Vector_Set</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[0],0,k*k);
<a name="l00892"></a>00892
<a name="l00893"></a>00893 <span class="comment">/* Initialize 'MatInv' to Identity matrix form. Each diagonal entry is set*/</span>
<a name="l00894"></a>00894 <span class="comment">/* to 1. Last column of each row (denominator of each entry in a row) is */</span>
<a name="l00895"></a>00895 <span class="comment">/* also set to 1. */</span>
<a name="l00896"></a>00896 <span class="keywordflow">for</span>(i=0;i<k;++i) {
<a name="l00897"></a>00897 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i],1);
<a name="l00898"></a>00898 <span class="comment">/* value_set_si(MatInv->p[i][k],1); /* denum */</span>
<a name="l00899"></a>00899 }
<a name="l00900"></a>00900 <span class="comment">/* Apply Gauss-Jordan elimination method on the two matrices 'Mat' and */</span>
<a name="l00901"></a>00901 <span class="comment">/* 'MatInv' in parallel. */</span>
<a name="l00902"></a>00902 <span class="keywordflow">for</span>(i=0;i<k;++i) {
<a name="l00903"></a>00903
<a name="l00904"></a>00904 <span class="comment">/* Check if the diagonal entry (new pivot) is non-zero or not */</span>
<a name="l00905"></a>00905 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#827532f2140ae2aa96e46baebae09723">value_zero_p</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i])) {
<a name="l00906"></a>00906
<a name="l00907"></a>00907 <span class="comment">/* Search for a non-zero pivot down the column(i) */</span>
<a name="l00908"></a>00908 <span class="keywordflow">for</span>(j=i;j<k;++j)
<a name="l00909"></a>00909 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i]))
<a name="l00910"></a>00910 <span class="keywordflow">break</span>;
<a name="l00911"></a>00911
<a name="l00912"></a>00912 <span class="comment">/* If no non-zero pivot is found, the matrix 'Mat' is non-invertible */</span>
<a name="l00913"></a>00913 <span class="comment">/* Return 0. */</span>
<a name="l00914"></a>00914 <span class="keywordflow">if</span>(j==k) {
<a name="l00915"></a>00915
<a name="l00916"></a>00916 <span class="comment">/* Clear all the 'Value' variables */</span>
<a name="l00917"></a>00917 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(x); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(piv);
<a name="l00918"></a>00918 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l00919"></a>00919 <span class="keywordflow">return</span> 0;
<a name="l00920"></a>00920 }
<a name="l00921"></a>00921
<a name="l00922"></a>00922 <span class="comment">/* Exchange the rows, row(i) and row(j) so that the diagonal element */</span>
<a name="l00923"></a>00923 <span class="comment">/* Mat->p[i][i] (pivot) is non-zero. Repeat the same operations on */</span>
<a name="l00924"></a>00924 <span class="comment">/* matrix 'MatInv'. */</span>
<a name="l00925"></a>00925 <span class="keywordflow">for</span>(c=0;c<k;++c) {
<a name="l00926"></a>00926
<a name="l00927"></a>00927 <span class="comment">/* Interchange rows, row(i) and row(j) of matrix 'Mat' */</span>
<a name="l00928"></a>00928 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(x,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c]);
<a name="l00929"></a>00929 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c]);
<a name="l00930"></a>00930 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c],x);
<a name="l00931"></a>00931
<a name="l00932"></a>00932 <span class="comment">/* Interchange rows, row(i) and row(j) of matrix 'MatInv' */</span>
<a name="l00933"></a>00933 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(x,MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c]);
<a name="l00934"></a>00934 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c]);
<a name="l00935"></a>00935 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c],x);
<a name="l00936"></a>00936 }
<a name="l00937"></a>00937 }
<a name="l00938"></a>00938
<a name="l00939"></a>00939 <span class="comment">/* Make all the entries in column(i) of matrix 'Mat' zero except the */</span>
<a name="l00940"></a>00940 <span class="comment">/* diagonal entry. Repeat the same sequence of operations on matrix */</span>
<a name="l00941"></a>00941 <span class="comment">/* 'MatInv'. */</span>
<a name="l00942"></a>00942 <span class="keywordflow">for</span>(j=0;j<k;++j) {
<a name="l00943"></a>00943 <span class="keywordflow">if</span> (j==i) <span class="keywordflow">continue</span>; <span class="comment">/* Skip the pivot */</span>
<a name="l00944"></a>00944 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(x,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][i]);
<a name="l00945"></a>00945 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#47d32925340d2dc99ef2d4215080a60d">value_notzero_p</a>(x)) {
<a name="l00946"></a>00946 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(piv,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][i]);
<a name="l00947"></a>00947 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, x, piv);
<a name="l00948"></a>00948 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(gcd) ) {
<a name="l00949"></a>00949 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(x, x, gcd);
<a name="l00950"></a>00950 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(piv, piv, gcd);
<a name="l00951"></a>00951 }
<a name="l00952"></a>00952 <span class="keywordflow">for</span>(c=((j>i)?i:0);c<k;++c) {
<a name="l00953"></a>00953 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m1,piv,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c]);
<a name="l00954"></a>00954 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m2,x,Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c]);
<a name="l00955"></a>00955 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],m1,m2);
<a name="l00956"></a>00956 }
<a name="l00957"></a>00957 <span class="keywordflow">for</span>(c=0;c<k;++c) {
<a name="l00958"></a>00958 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m1,piv,MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c]);
<a name="l00959"></a>00959 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(m2,x,MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[i][c]);
<a name="l00960"></a>00960 <a class="code" href="source_2arith_2arithmetique_8h.html#e92a58eee3b6f5c6a99e6837e68407e1">value_subtract</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],m1,m2);
<a name="l00961"></a>00961 }
<a name="l00962"></a>00962
<a name="l00963"></a>00963 <span class="comment">/* Simplify row(j) of the two matrices 'Mat' and 'MatInv' by */</span>
<a name="l00964"></a>00964 <span class="comment">/* dividing the rows with the common GCD. */</span>
<a name="l00965"></a>00965 <a class="code" href="vector_8c.html#801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(&MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][0],k,&m1);
<a name="l00966"></a>00966 <a class="code" href="vector_8c.html#801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(&Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][0],k,&m2);
<a name="l00967"></a>00967 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, m1, m2);
<a name="l00968"></a>00968 <span class="keywordflow">if</span>(<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(gcd)) {
<a name="l00969"></a>00969 <span class="keywordflow">for</span>(c=0;c<k;++c) {
<a name="l00970"></a>00970 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], gcd);
<a name="l00971"></a>00971 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], gcd);
<a name="l00972"></a>00972 }
<a name="l00973"></a>00973 }
<a name="l00974"></a>00974 }
<a name="l00975"></a>00975 }
<a name="l00976"></a>00976 }
<a name="l00977"></a>00977
<a name="l00978"></a>00978 <span class="comment">/* Find common denom for each row */</span>
<a name="l00979"></a>00979 den = (Value *)malloc(k*<span class="keyword">sizeof</span>(Value));
<a name="l00980"></a>00980 <a class="code" href="source_2arith_2arithmetique_8h.html#8cc56567a4a29271559ac0fd5f6c5bfa">value_set_si</a>(x,1);
<a name="l00981"></a>00981 <span class="keywordflow">for</span>(j=0 ; j<k ; ++j) {
<a name="l00982"></a>00982 <a class="code" href="source_2arith_2arithmetique_8h.html#f71a2ca0294a19cff0cdcbdcc052ee27">value_init</a>(den[j]);
<a name="l00983"></a>00983 <a class="code" href="source_2arith_2arithmetique_8h.html#864613888dc46f15679aa4f63e468f89">value_assign</a>(den[j],Mat-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][j]);
<a name="l00984"></a>00984
<a name="l00985"></a>00985 <span class="comment">/* gcd is always positive */</span>
<a name="l00986"></a>00986 <a class="code" href="vector_8c.html#801486b45cadc8b9d22d99a79af91fa1">Vector_Gcd</a>(&MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][0],k,&gcd);
<a name="l00987"></a>00987 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, gcd, den[j]);
<a name="l00988"></a>00988 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#f031da52c8a160fd1ee6e4c793f8c78a">value_neg_p</a>(den[j]))
<a name="l00989"></a>00989 <a class="code" href="source_2arith_2arithmetique_8h.html#0daf9a8ecdc14e7a274832b0d2add830">value_oppose</a>(gcd,gcd); <span class="comment">/* make denominator positive */</span>
<a name="l00990"></a>00990 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(gcd)) {
<a name="l00991"></a>00991 <span class="keywordflow">for</span> (c=0; c<k; c++)
<a name="l00992"></a>00992 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c], gcd); <span class="comment">/* normalize */</span>
<a name="l00993"></a>00993 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(den[j], den[j], gcd);
<a name="l00994"></a>00994 }
<a name="l00995"></a>00995 <a class="code" href="source_2arith_2arithmetique_8h.html#50a34e78517e58cd1c2494a99be1e62b">value_gcd</a>(gcd, x, den[j]);
<a name="l00996"></a>00996 <a class="code" href="source_2arith_2arithmetique_8h.html#4b01d50506e0c7691b69d57a87280f5d">value_divexact</a>(m1, den[j], gcd);
<a name="l00997"></a>00997 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(x,x,m1);
<a name="l00998"></a>00998 }
<a name="l00999"></a>00999 <span class="keywordflow">if</span> (<a class="code" href="source_2arith_2arithmetique_8h.html#5f258141f9e07b66da01ff7f4fe3d56d">value_notone_p</a>(x))
<a name="l01000"></a>01000 <span class="keywordflow">for</span>(j=0 ; j<k ; ++j) {
<a name="l01001"></a>01001 <span class="keywordflow">for</span> (c=0; c<k; c++) {
<a name="l01002"></a>01002 <a class="code" href="source_2arith_2arithmetique_8h.html#c633e4bcd9ed1d8412c67cda6d8ddb11">value_division</a>(m1,x,den[j]);
<a name="l01003"></a>01003 <a class="code" href="source_2arith_2arithmetique_8h.html#c9986d34264874727344f666079e2294">value_multiply</a>(MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],MatInv-><a class="code" href="structmatrix.html#2c6d840d8d911ae95c2ae4fc96f4b5ba">p</a>[j][c],m1); <span class="comment">/* normalize */</span>
<a name="l01004"></a>01004 }
<a name="l01005"></a>01005 }
<a name="l01006"></a>01006
<a name="l01007"></a>01007 <span class="comment">/* Clear all the 'Value' variables */</span>
<a name="l01008"></a>01008 <span class="keywordflow">for</span>(j=0 ; j<k ; ++j) {
<a name="l01009"></a>01009 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(den[j]);
<a name="l01010"></a>01010 }
<a name="l01011"></a>01011 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(x); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(gcd); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(piv);
<a name="l01012"></a>01012 <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m1); <a class="code" href="source_2arith_2arithmetique_8h.html#b9b282921e85a0527d462d331533d619">value_clear</a>(m2);
<a name="l01013"></a>01013 free(den);
<a name="l01014"></a>01014
<a name="l01015"></a>01015 <span class="keywordflow">return</span> 1;
<a name="l01016"></a>01016 } <span class="comment">/* Matrix_Inverse */</span>
<a name="l01017"></a>01017
<a name="l01018"></a>01018
<a name="l01019"></a>01019
<a name="l01020"></a>01020
<a name="l01021"></a>01021
<a name="l01022"></a>01022
<a name="l01023"></a>01023
<a name="l01024"></a>01024
</pre></div></div>
<hr size="1"><address style="text-align: right;"><small>Generated on Tue Sep 15 18:33:59 2009 for polylib by
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