/** @file time_lw_M1.cpp * * Test M1 from the paper "Comparison of Polynomial-Oriented CAS" by Robert H. * Lewis and Michael Wester. */ /* * 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 * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ #include #include "ginac.h" #include "timer.h" using namespace std; using namespace GiNaC; static unsigned test() { // Determinant of a sparse matrix that comes up in graph theory: symbol x1("x1"), x2("x2"), x3("x3"), x4("x4"), x5("x5"); ex w[26][11] = { { 1, 1, 1, 7, x4, 12, x3, 17, x2, 22, x1}, { 2, 2, 1, 8, x4, 13, x3, 18, x2, 23, x1}, { 3, 3, 1, 9, x4, 14, x3, 19, x2, 24, x1}, { 4, 4, 1, 10, x4, 15, x3, 20, x2, 25, x1}, { 5, 5, 1, 26, 1, 1, 0, 1, 0, 1, 0 }, { 6, 2, x5, 6, 1, 12, x3, 17, x2, 22, x1}, { 7, 3, x5, 7, 1, 13, x3, 18, x2, 23, x1}, { 8, 4, x5, 8, 1, 14, x3, 19, x2, 24, x1}, { 9, 5, x5, 9, 1, 15, x3, 20, x2, 25, x1}, {10, 10, 1, 26, 1, 1, 0, 1, 0, 1, 0 }, {11, 2, x5, 7, x4, 11, 1, 17, x2, 22, x1}, {12, 3, x5, 8, x4, 12, 1, 18, x2, 23, x1}, {13, 4, x5, 9, x4, 13, 1, 19, x2, 24, x1}, {14, 5, x5, 10, x4, 14, 1, 20, x2, 25, x1}, {15, 15, 1, 26, 1, 1, 0, 1, 0, 1, 0 }, {16, 2, x5, 7, x4, 12, x3, 16, 1, 22, x1}, {17, 3, x5, 8, x4, 13, x3, 17, 1, 23, x1}, {18, 4, x5, 9, x4, 14, x3, 18, 1, 24, x1}, {19, 5, x5, 10, x4, 15, x3, 19, 1, 25, x1}, {20, 20, 1, 26, 1, 1, 0, 1, 0, 1, 0 }, {21, 2, x5, 7, x4, 12, x3, 17, x2, 21, 1 }, {22, 3, x5, 8, x4, 13, x3, 18, x2, 22, 1 }, {23, 4, x5, 9, x4, 14, x3, 19, x2, 23, 1 }, {24, 5, x5, 10, x4, 15, x3, 20, x2, 24, 1 }, {25, 25, 1, 26, 1, 1, 0, 1, 0, 1, 0 }, {26, 1, x5, 6, x4, 11, x3, 16, x2, 21, x1} }; matrix m(26,26); for (unsigned r=0; r<26; ++r) { for (unsigned c=0; c<5; ++c) { m.set(r, unsigned(ex_to(w[r][2*c+1]).to_int()-1), w[r][2*c+2]); } } ex det = m.determinant(); // The result should have been: ex cmp("-12*x2^2*x5^2*x4-12*x1*x5^2*x3^2-x5^3*x4^2-12*x1*x5^2*x4^2-12*x2*x5^2*x4^2-12*x3*x5^2*x4^2-x4^3*x5^2-36*x3*x1*x5^2*x4-36*x3*x1*x4^2*x5-36*x3*x2*x5^2*x4-36*x3*x2*x4^2*x5-2*x5^3*x4*x2-12*x3^2*x5^2*x4-12*x3^2*x4^2*x5-2*x5^3*x4*x3-2*x4^3*x5*x3-12*x1*x5^2*x2^2-36*x1*x5*x3^2*x4-36*x2*x5*x3^2*x4-x3^3*x5^2-x3^3*x4^2-2*x3^3*x5*x4-12*x2^2*x4^2*x5-12*x2*x5^2*x3^2-12*x2*x4^2*x3^2-12*x1*x4^2*x3^2-x3^2*x5^3-x3^2*x4^3-2*x4^3*x5*x2-2*x3*x5^3*x2-2*x3*x4^3*x2-2*x3^3*x5*x2-2*x3^3*x4*x2-2*x2^3*x5*x4-2*x2^3*x5*x3-2*x2^3*x4*x3-36*x2^2*x5*x4*x3-36*x2*x1*x5^2*x4-36*x2*x1*x4^2*x5-120*x2*x1*x5*x4*x3-36*x2*x1*x5^2*x3-36*x2*x1*x4^2*x3-36*x2*x1*x3^2*x5-36*x2*x1*x3^2*x4-12*x2^2*x5^2*x3-12*x2^2*x4^2*x3-12*x2^2*x3^2*x5-12*x2^2*x3^2*x4-2*x1^3*x4*x3-2*x1^3*x4*x2-2*x1^3*x3*x2-2*x1^3*x5*x2-36*x1^2*x5*x4*x3-36*x2*x1^2*x5*x4-36*x2*x3*x1^2*x5-36*x2*x3*x1^2*x4-x1^3*x5^2-x1^3*x4^2-x1^3*x3^2-x1^3*x2^2-x2^2*x5^3-x2^2*x4^3-x2^2*x3^3-12*x1*x4^2*x2^2-12*x1*x3^2*x2^2-12*x1^2*x5^2*x4-12*x1^2*x4^2*x5-12*x1^2*x5^2*x3-12*x1^2*x4^2*x3-12*x1^2*x3^2*x5-12*x1^2*x3^2*x4-12*x1^2*x5^2*x2-12*x1^2*x4^2*x2-12*x1^2*x3^2*x2-12*x1^2*x2^2*x5-12*x1^2*x2^2*x4-12*x1^2*x2^2*x3-2*x5^3*x4*x1-2*x4^3*x5*x1-2*x3*x5^3*x1-2*x3*x4^3*x1-2*x3^3*x5*x1-2*x3^3*x4*x1-2*x2*x5^3*x1-2*x2*x4^3*x1-2*x2*x3^3*x1-2*x2^3*x5*x1-2*x2^3*x4*x1-2*x2^3*x3*x1-2*x1^3*x5*x4-2*x1^3*x5*x3-36*x1*x5*x2^2*x4-36*x1*x5*x2^2*x3-36*x1*x4*x2^2*x3-x1^2*x5^3-x1^2*x4^3-x1^2*x3^3-x2^3*x5^2-x2^3*x4^2-x2^3*x3^2-x1^2*x2^3",lst(x1,x2,x3,x4,x5)); if (det!=cmp) { clog << "The determinant was miscalculated" << endl; return 1; } return 0; } unsigned time_lw_M1() { unsigned result = 0; unsigned count = 0; timer rolex; double time = .0; cout << "timing Lewis-Wester test M1 (26x26 sparse, det)" << flush; rolex.start(); // correct for very small times: do { result = test(); ++count; } while ((time=rolex.read())<0.1 && !result); cout << '.' << flush; cout << time/count << 's' << endl; return result; } extern void randomify_symbol_serials(); int main(int argc, char** argv) { randomify_symbol_serials(); cout << setprecision(2) << showpoint; return time_lw_M1(); }