[BUGFIX] Reclaiming the memory allocated for static objects *is* necessary.
[ginac.git] / check / time_toeplitz.cpp
index 6f138d3e50c94d6d1489acc5298e0b5723a0019f..813e5214fd741468156a2bfd2ee4da36d897c626 100644 (file)
@@ -6,7 +6,7 @@
  */
 
 /*
  */
 
 /*
- *  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
  *
  *  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
  *
  *  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)
 {
 
 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)
-    };
-    
-    // construct Toeplitz matrix:
-    matrix M(size,size);
-    for (unsigned ro=0; ro<size; ++ro)
-        for (unsigned nd=ro; nd<size; ++nd) {
-            M.set(nd-ro,nd,p[ro]);
-            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
-             << "M==" << M << endl
-             << "was miscalculated: det(M)==" << tdet << endl;
-        ++result;
-    }
-    
-    return result;
+       unsigned result = 0;
+       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 (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) {
+                       M.set(nd-ro,nd,p[ro]);
+                       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
+                    << "M==" << M << endl
+                    << "was miscalculated: det(M)==" << tdet << endl;
+               ++result;
+       }
+
+       return result;
+}
+
+unsigned time_toeplitz()
+{
+       unsigned result = 0;
+
+       cout << "timing determinant of polyvariate symbolic Toeplitz matrices" << flush;
+
+       vector<unsigned> sizes;
+       vector<double> times;
+       timer longines;
+
+       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();
+               result += toeplitz_det(*i);
+               // correct for very small times:
+               while (longines.read()<0.1) {
+                       toeplitz_det(*i);
+                       ++count;
+               }
+               times.push_back(longines.read()/count);
+               cout << '.' << flush;
+       }
+
+       // 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' << *i;
+       cout << endl;
+
+       return result;
 }
 
 }
 
-unsigned time_toeplitz(void)
+extern void randomify_symbol_serials();
+
+int main(int argc, char** argv)
 {
 {
-    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);
-    
-    for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i) {
-        int count = 1;
-        longines.start();
-        result += toeplitz_det(*i);
-        // correct for very small times:
-        while (longines.read()<0.1) {
-            toeplitz_det(*i);
-            ++count;
-        }
-        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 << endl;
-    
-    return result;
+       randomify_symbol_serials();
+       cout << setprecision(2) << showpoint;
+       return time_toeplitz();
 }
 }