]> www.ginac.de Git - ginac.git/blobdiff - check/time_vandermonde.cpp
lexer: when switching to another output stream, clean last read character.
[ginac.git] / check / time_vandermonde.cpp
index 6473856957c2f857b70a9f310767b22aff4abb94..ce0b286d3d5746c2894dd5aa7ecabf57aa6070df 100644 (file)
@@ -7,7 +7,7 @@
  */
 
 /*
- *  GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2008 Johannes Gutenberg University Mainz, Germany
  *
  *  This program is free software; you can redistribute it and/or modify
  *  it under the terms of the GNU General Public License as published by
  *
  *  You should have received a copy of the GNU General Public License
  *  along with this program; if not, write to the Free Software
- *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
+ *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
  */
 
-#include "times.h"
+#include <iostream>
+#include <vector>
+#include "ginac.h"
+#include "timer.h"
+using namespace std;
+using namespace GiNaC;
 
 static unsigned vandermonde_det(unsigned size)
 {
        unsigned result = 0;
-       symbol a("a");
-       
+       const symbol a("a");
+
        // construct Vandermonde matrix:
        matrix M(size,size);
        for (unsigned ro=0; ro<size; ++ro) {
                for (unsigned co=0; co<size; ++co) {
                        if (ro%2)
-                               M.set(ro,co,pow(-pow(a,1+ro/2),co));
+                               M(ro,co) = pow(-pow(a,1+ro/2),co);
                        else
-                               M.set(ro,co,pow(pow(a,1+ro/2),co));
+                               M(ro,co) = pow(pow(a,1+ro/2),co);
                }
        }
-       
+
        // compute determinant:
-       ex vdet = M.determinant();
-       
-       // dirty consistency check of result:
-       if (!vdet.subs(a==1).is_zero()) {
+       ex det = M.determinant();
+
+       // check the result:
+       ex vanddet = 1;
+       for (unsigned i=0; i<size; ++i)
+               for (unsigned j=0; j<i; ++j)
+                       vanddet *= M(i,1) - M(j,1);
+
+       if (expand(det - vanddet) != 0) {
                clog << "Determaint of Vandermonde matrix " << endl
                     << "M==" << M << endl
-                    << "was miscalculated: det(M)==" << vdet << endl;
+                    << "was miscalculated: det(M)==" << det << endl;
                ++result;
        }
-       
+
        return result;
 }
 
-unsigned time_vandermonde(void)
+unsigned time_vandermonde()
 {
        unsigned result = 0;
        
        cout << "timing determinant of univariate symbolic Vandermonde matrices" << flush;
-       clog << "-------determinant of univariate symbolic Vandermonde matrices:" << endl;
        
        vector<unsigned> sizes;
        vector<double> times;
        timer swatch;
        
-       sizes.push_back(4);
-       sizes.push_back(6);
        sizes.push_back(8);
        sizes.push_back(10);
+       sizes.push_back(12);
+       sizes.push_back(14);
        
        for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i) {
                int count = 1;
@@ -85,20 +94,23 @@ unsigned time_vandermonde(void)
                cout << '.' << flush;
        }
        
-       if (!result) {
-               cout << " passed ";
-               clog << "(no output)" << endl;
-       } else {
-               cout << " failed ";
-       }
        // print the report:
        cout << endl << "       dim:   ";
        for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i)
                cout << '\t' << *i << 'x' << *i;
        cout << endl << "       time/s:";
        for (vector<double>::iterator i=times.begin(); i!=times.end(); ++i)
-               cout << '\t' << int(1000*(*i))*0.001;
+               cout << '\t' << *i;
        cout << endl;
        
        return result;
 }
+
+extern void randomify_symbol_serials();
+
+int main(int argc, char** argv)
+{
+       randomify_symbol_serials();
+       cout << setprecision(2) << showpoint;
+       return time_vandermonde();
+}