* after which e should be just a1^2. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2022 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 "ginac.h"
+#include "timer.h"
+using namespace GiNaC;
-#define VECSIZE 200
+#include <iostream>
+#include <sstream>
+#include <vector>
+using namespace std;
static unsigned expand_subs(unsigned size)
{
- unsigned result = 0;
- symbol a1("a1");
- symbol a[VECSIZE];
- ex e, aux;
-
- a[1] = a1;
- for (unsigned i=0; i<size; ++i) {
- e = e + a[i];
- }
-
- // prepare aux so it will swallow anything but a1^2:
- aux = -e + a[0] + a[1];
- e = expand(subs(expand(pow(e, 2)), a[0] == aux));
-
- if (e != pow(a1,2)) {
- clog << "Denny Fliegner's quick consistency check erroneously returned "
- << e << "." << endl;
- ++result;
- }
-
- return result;
+ unsigned result = 0;
+ // create a vector of size symbols named "a0", "a1", ...
+ vector<symbol> a;
+ ex e;
+ for (unsigned i=0; i<size; ++i) {
+ ostringstream buf;
+ buf << "a" << i << ends;
+ a.push_back(symbol(buf.str()));
+ e += a[i];
+ }
+ ex aux;
+
+ // prepare aux so it will swallow anything but a1^2:
+ aux = -e + a[0] + a[1];
+ e = pow(e,2).expand().subs(a[0]==aux, subs_options::no_pattern).expand();
+
+ if (e != pow(a[1],2)) {
+ clog << "Denny Fliegner's quick consistency check erroneously returned "
+ << e << "." << endl;
+ ++result;
+ }
+
+ return result;
}
-unsigned time_dennyfliegner(void)
+unsigned time_dennyfliegner()
{
- unsigned result = 0;
-
- cout << "timing commutative expansion and substitution" << flush;
- clog << "-------commutative expansion and substitution:" << endl;
-
- vector<unsigned> sizes;
- vector<double> times;
- timer breitling;
-
- sizes.push_back(25);
- sizes.push_back(50);
- sizes.push_back(100);
- sizes.push_back(200);
-
- for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i) {
- breitling.start();
- result += expand_subs(*i);
- times.push_back(breitling.read());
- cout << '.' << flush;
- }
-
- if (!result) {
- cout << " passed ";
- clog << "(no output)" << endl;
- } else {
- cout << " failed ";
- }
- // print the report:
- cout << endl << " size: ";
- for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i)
- cout << '\t' << (*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;
+ unsigned result = 0;
+
+ cout << "timing commutative expansion and substitution" << flush;
+
+ vector<unsigned> sizes = {100, 200, 400, 800};
+ vector<double> times;
+ timer breitling;
+
+ for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i) {
+ breitling.start();
+ result += expand_subs(*i);
+ times.push_back(breitling.read());
+ cout << '.' << flush;
+ }
+
+ // print the report:
+ cout << endl << " size: ";
+ for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i)
+ cout << '\t' << *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)
+{
+ randomify_symbol_serials();
+ cout << setprecision(2) << showpoint;
+ return time_dennyfliegner();
}