[BUGFIX] Reclaiming the memory allocated for static objects *is* necessary.
[ginac.git] / check / time_toeplitz.cpp
index d6cf21f9f1493b3bfbfbeef764d82302a2ec3412..813e5214fd741468156a2bfd2ee4da36d897c626 100644 (file)
@@ -6,7 +6,7 @@
  */
 
 /*
- *  GiNaC Copyright (C) 1999-2001 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 toeplitz_det(unsigned size)
 {
        unsigned result = 0;
-       symbol a("a"), b("b");
-       ex p[8] = {a,
-                  b,
-                  a+b,
-                  pow(a,2) + a*b + pow(b,2),
-                  pow(a,3) + pow(a,2)*b - a*pow(b,2) + pow(b,3),
-                  pow(a,4) + pow(a,3)*b + pow(a*b,2) + a*pow(b,3) + pow(b,4),
-                  pow(a,5) + pow(a,4)*b + pow(a,3)*pow(b,2) - pow(a,2)*pow(b,3) + a*pow(b,4) + pow(b,5),
-                  pow(a,6) + pow(a,5)*b + pow(a,4)*pow(b,2) + pow(a*b,3) + pow(a,2)*pow(b,4) + a*pow(b,5) + pow(b,6)
+       const symbol a("a"), b("b");
+       ex p[10] = {ex("a",lst(a,b)),
+                  ex("b",lst(a,b)),
+                  ex("a+b",lst(a,b)),
+                  ex("a^2+a*b+b^2",lst(a,b)),
+                  ex("a^3+a^2*b-a*b^2+b^3",lst(a,b)),
+                  ex("a^4+a^3*b+a^2*b^2+a*b^3+b^4",lst(a,b)),
+                  ex("a^5+a^4*b+a^3*b^2-a^2*b^3+a*b^4+b^5",lst(a,b)),
+                  ex("a^6+a^5*b+a^4*b^2+a^3*b^3+a^2*b^4+a*b^5+b^6",lst(a,b)),
+                  ex("a^7+a^6*b+a^5*b^2+a^4*b^3-a^3*b^4+a^2*b^5+a*b^6+b^7",lst(a,b)),
+                  ex("a^8+a^7*b+a^6*b^2+a^5*b^3+a^4*b^4+a^3*b^5+a^2*b^6+a*b^7+b^8",lst(a,b))
        };
-       
-       // construct Toeplitz matrix:
+
+       // construct Toeplitz matrix (diagonal structure: [[x,y,z],[y,x,y],[z,y,x]]):
        matrix M(size,size);
        for (unsigned ro=0; ro<size; ++ro) {
                for (unsigned nd=ro; nd<size; ++nd) {
@@ -47,10 +54,10 @@ static unsigned toeplitz_det(unsigned size)
                        M.set(nd,nd-ro,p[ro]);
                }
        }
-       
+
        // compute determinant:
        ex tdet = M.determinant();
-       
+
        // dirty consistency check of result:
        if (!tdet.subs(a==0).subs(b==0).is_zero()) {
                clog << "Determaint of Toeplitz matrix " << endl
@@ -58,26 +65,25 @@ static unsigned toeplitz_det(unsigned size)
                     << "was miscalculated: det(M)==" << tdet << endl;
                ++result;
        }
-       
+
        return result;
 }
 
-unsigned time_toeplitz(void)
+unsigned time_toeplitz()
 {
        unsigned result = 0;
-       
+
        cout << "timing determinant of polyvariate symbolic Toeplitz matrices" << flush;
-       clog << "-------determinant of polyvariate symbolic Toeplitz matrices:" << endl;
-       
+
        vector<unsigned> sizes;
        vector<double> times;
        timer longines;
-       
-       sizes.push_back(5);
-       sizes.push_back(6);
+
        sizes.push_back(7);
        sizes.push_back(8);
-       
+       sizes.push_back(9);
+       sizes.push_back(10);
+
        for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i) {
                int count = 1;
                longines.start();
@@ -90,21 +96,24 @@ unsigned time_toeplitz(void)
                times.push_back(longines.read()/count);
                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_toeplitz();
+}