#include <cln/number.h> #include <cln/io.h> #include <cln/integer.h> #include <cln/integer_io.h> #include <cln/modinteger.h> #include <cln/numtheory.h> #include <cstdlib> #include <cstring> #include <cln/timing.h> using namespace cln; int main (int argc, char * argv[]) { int repetitions = 1; if ((argc >= 3) && !strcmp(argv[1],"-r")) { repetitions = atoi(argv[2]); argc -= 2; argv += 2; } if (argc < 2) exit(1); cl_I len = cl_I(argv[1]); int e = (argc > 2 ? atoi(argv[2]) : 0); if (e < 1) e = 1; if (len <= e) exit(0); cl_I p; do { p = ((random_I((cl_I)1 << (len-1-e))*2+1) << e) + 1; } while (!isprobprime(p)); cout << "p = " << p << endl; cl_modint_ring R = find_modint_ring(p); cl_MI x = R->random(); cl_MI a = square(x); sqrt_mod_p_t sol; #if 0 extern int cl_sqrt_algo; cl_sqrt_algo = 1; { CL_TIMING; for (int rep = repetitions; rep > 0; rep--) { sol = sqrt_mod_p(R,a); } } if (sol.condition) cerr << "p not prime!" << endl; else { if (sol.solutions == 0) cerr << "No sqrt found!" << endl; if (!(sol.solution[0] == x || sol.solution[0] == -x)) cerr << "Wrong result!" << endl; } cl_sqrt_algo = 2; { CL_TIMING; for (int rep = repetitions; rep > 0; rep--) { sol = sqrt_mod_p(R,a); } } if (sol.condition) cerr << "p not prime!" << endl; else { if (sol.solutions == 0) cerr << "No sqrt found!" << endl; if (!(sol.solution[0] == x || sol.solution[0] == -x)) cerr << "Wrong result!" << endl; } cl_sqrt_algo = 3; #endif { CL_TIMING; for (int rep = repetitions; rep > 0; rep--) { sol = sqrt_mod_p(R,a); } } if (sol.condition) cerr << "p not prime!" << endl; else { if (sol.solutions == 0) cerr << "No sqrt found!" << endl; if (!(sol.solution[0] == x || sol.solution[0] == -x)) cerr << "Wrong result!" << endl; } }