*/
/*
- * 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");
-
- // 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));
- else
- M.set(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()) {
- clog << "Determaint of Vandermonde matrix " << endl
- << "M==" << M << endl
- << "was miscalculated: det(M)==" << vdet << endl;
- ++result;
- }
-
- return result;
+ unsigned result = 0;
+ 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(ro,co) = pow(-pow(a,1+ro/2),co);
+ else
+ M(ro,co) = pow(pow(a,1+ro/2),co);
+ }
+ }
+
+ // compute determinant:
+ 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)==" << det << endl;
+ ++result;
+ }
+
+ return result;
}
-unsigned time_vandermonde(void)
+unsigned time_vandermonde()
+{
+ unsigned result = 0;
+
+ cout << "timing determinant of univariate symbolic Vandermonde matrices" << flush;
+
+ vector<unsigned> sizes;
+ vector<double> times;
+ timer swatch;
+
+ 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;
+ swatch.start();
+ result += vandermonde_det(*i);
+ // correct for very small times:
+ while (swatch.read()<0.02) {
+ vandermonde_det(*i);
+ ++count;
+ }
+ times.push_back(swatch.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;
+}
+
+extern void randomify_symbol_serials();
+
+int main(int argc, char** argv)
{
- 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);
-
- for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i) {
- int count = 1;
- swatch.start();
- result += vandermonde_det(*i);
- // correct for very small times:
- while (swatch.read()<0.02) {
- vandermonde_det(*i);
- ++count;
- }
- times.push_back(swatch.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_vandermonde();
}