X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Ftime_lw_N.cpp;h=c3ce01b00700497b9441d894325e186243f2878b;hp=81d32b0496ddc52c1f9c9ef663331a6f7b46c3ae;hb=ae6c004bd31e02dda37357d74b641c101b116c73;hpb=1f5afe37b4c079821de9810435fa9fa11e4ea17b diff --git a/check/time_lw_N.cpp b/check/time_lw_N.cpp index 81d32b04..c3ce01b0 100644 --- a/check/time_lw_N.cpp +++ b/check/time_lw_N.cpp @@ -5,7 +5,7 @@ * Fermat-test). */ /* - * GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2015 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 @@ -19,14 +19,20 @@ * * 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; -static const bool do_test = false; // set to true in order to run this beast +#include +#include +using namespace std; -static unsigned test(void) +constexpr bool do_test = false; // set to true in order to run this beast + +static unsigned test() { symbol p11("p11"), p12("p12"), p21("p21"), p22("p22"); symbol a12("a12"), a21("a21"), a22("a22"); @@ -34,16 +40,16 @@ static unsigned test(void) symbol g("g"); symbol q1("q1"), q2("q2"), q3("q3"), q4("q4"); - ex ss1 = ex("(4*g*a22^3-g*a12*a21*a22^2-4*n22*a21*a22^2+4*n11*a21*a22^2+7*g*a12*a22^2+4*g^2*a22^2-4*n11*n22*a22^2+4*n11*a22^2+n22*a12*a21^2*a22-n11*a12*a21^2*a22-4*g*a21^2*a22-g*a12^2*a21*a22-5*g^2*a12*a21*a22+5*n11*n22*a12*a21*a22-7*n22*a12*a21*a22+2*n11*a12*a21*a22-4*g*a21*a22+3*g*a12^2*a22+3*g^2*a12*a22-3*n11*n22*a12*a22+3*n11*a12*a22+g*a12*a21^3+g^2*a12^2*a21^2-n11*n22*a12^2*a21^2+n22*a12^2*a21^2-2*g*a12*a21^2-3*g^2*a12^2*a21+3*n11*n22*a12^2*a21-3*n22*a12^2*a21-3*g*a12*a21)/(3*g*a12*a21*a22^2-3*n22*a21*a22^2+g*a12*a22^2-n22*a22^2+3*n11*a12*a21^2*a22-3*g*a21^2*a22+5*g*a12^2*a21*a22-5*n22*a12*a21*a22+4*n11*a12*a21*a22-4*g*a21*a22+g*a12^2*a22-n22*a12*a22+n11*a12*a22-g*a22+2*n11*a12^2*a21^2-2*g*a12*a21^2+2*g*a12^3*a21-2*n22*a12^2*a21+2*n11*a12^2*a21-2*g*a12*a21)",lst(g,a12,a21,a22,n11,n22)); + ex ss1 = ex("(4*g*a22^3-g*a12*a21*a22^2-4*n22*a21*a22^2+4*n11*a21*a22^2+7*g*a12*a22^2+4*g^2*a22^2-4*n11*n22*a22^2+4*n11*a22^2+n22*a12*a21^2*a22-n11*a12*a21^2*a22-4*g*a21^2*a22-g*a12^2*a21*a22-5*g^2*a12*a21*a22+5*n11*n22*a12*a21*a22-7*n22*a12*a21*a22+2*n11*a12*a21*a22-4*g*a21*a22+3*g*a12^2*a22+3*g^2*a12*a22-3*n11*n22*a12*a22+3*n11*a12*a22+g*a12*a21^3+g^2*a12^2*a21^2-n11*n22*a12^2*a21^2+n22*a12^2*a21^2-2*g*a12*a21^2-3*g^2*a12^2*a21+3*n11*n22*a12^2*a21-3*n22*a12^2*a21-3*g*a12*a21)/(3*g*a12*a21*a22^2-3*n22*a21*a22^2+g*a12*a22^2-n22*a22^2+3*n11*a12*a21^2*a22-3*g*a21^2*a22+5*g*a12^2*a21*a22-5*n22*a12*a21*a22+4*n11*a12*a21*a22-4*g*a21*a22+g*a12^2*a22-n22*a12*a22+n11*a12*a22-g*a22+2*n11*a12^2*a21^2-2*g*a12*a21^2+2*g*a12^3*a21-2*n22*a12^2*a21+2*n11*a12^2*a21-2*g*a12*a21)",lst{g,a12,a21,a22,n11,n22}); - ex ss2 = ex("(4*g*a12*a22^2-4*n22*a22^2+4*a22^2-g*a12^2*a21*a22+n22*a12*a21*a22+4*n11*a12*a21*a22-5*a12*a21*a22-4*g*a21*a22+3*g*a12^2*a22-3*n22*a12*a22+3*a12*a22-n11*a12^2*a21^2+a12^2*a21^2+g*a12*a21^2+3*n11*a12^2*a21-3*a12^2*a21-3*g*a12*a21)/(2*g*a12*a22^2-2*n22*a22^2+g*a12^2*a21*a22-n22*a12*a21*a22+2*n11*a12*a21*a22-2*g*a21*a22+2*g*a12^2*a22-2*n22*a12*a22+2*n11*a12*a22-2*g*a22+n11*a12^2*a21^2-g*a12*a21^2+g*a12^3*a21-n22*a12^2*a21+n11*a12^2*a21-g*a12*a21)",lst(g,a12,a21,a22,n11,n22)); + ex ss2 = ex("(4*g*a12*a22^2-4*n22*a22^2+4*a22^2-g*a12^2*a21*a22+n22*a12*a21*a22+4*n11*a12*a21*a22-5*a12*a21*a22-4*g*a21*a22+3*g*a12^2*a22-3*n22*a12*a22+3*a12*a22-n11*a12^2*a21^2+a12^2*a21^2+g*a12*a21^2+3*n11*a12^2*a21-3*a12^2*a21-3*g*a12*a21)/(2*g*a12*a22^2-2*n22*a22^2+g*a12^2*a21*a22-n22*a12*a21*a22+2*n11*a12*a21*a22-2*g*a21*a22+2*g*a12^2*a22-2*n22*a12*a22+2*n11*a12*a22-2*g*a22+n11*a12^2*a21^2-g*a12*a21^2+g*a12^3*a21-n22*a12^2*a21+n11*a12^2*a21-g*a12*a21)",lst{g,a12,a21,a22,n11,n22}); - ex ss3 = ex("(4*p21*a22^3-p21*a12*a21*a22^2-4*p22*a21*a22^2+4*p11*a21*a22^2+7*p21*a12*a22^2-4*p11*p22*a22^2+4*p12*p21*a22^2+4*p11*a22^2+p22*a12*a21^2*a22-p11*a12*a21^2*a22-4*p12*a21^2*a22-p21*a12^2*a21*a22+5*p11*p22*a12*a21*a22-7*p22*a12*a21*a22-5*p12*p21*a12*a21*a22+2*p11*a12*a21*a22-4*p12*a21*a22+3*p21*a12^2*a22-3*p11*p22*a12*a22+3*p12*p21*a12*a22+3*p11*a12*a22+p12*a12*a21^3-p11*p22*a12^2*a21^2+p22*a12^2*a21^2+p12*p21*a12^2*a21^2-2*p12*a12*a21^2+3*p11*p22*a12^2*a21-3*p22*a12^2*a21-3*p12*p21*a12^2*a21-3*p12*a12*a21)/(3*p21*a12*a21*a22^2-3*p22*a21*a22^2+p21*a12*a22^2-p22*a22^2+3*p11*a12*a21^2*a22-3*p12*a21^2*a22+5*p21*a12^2*a21*a22-5*p22*a12*a21*a22+4*p11*a12*a21*a22-4*p12*a21*a22+p21*a12^2*a22-p22*a12*a22+p11*a12*a22-p12*a22+2*p11*a12^2*a21^2-2*p12*a12*a21^2+2*p21*a12^3*a21-2*p22*a12^2*a21+2*p11*a12^2*a21-2*p12*a12*a21)",lst(a12,a21,a22,p11,p12,p21,p22)); + ex ss3 = ex("(4*p21*a22^3-p21*a12*a21*a22^2-4*p22*a21*a22^2+4*p11*a21*a22^2+7*p21*a12*a22^2-4*p11*p22*a22^2+4*p12*p21*a22^2+4*p11*a22^2+p22*a12*a21^2*a22-p11*a12*a21^2*a22-4*p12*a21^2*a22-p21*a12^2*a21*a22+5*p11*p22*a12*a21*a22-7*p22*a12*a21*a22-5*p12*p21*a12*a21*a22+2*p11*a12*a21*a22-4*p12*a21*a22+3*p21*a12^2*a22-3*p11*p22*a12*a22+3*p12*p21*a12*a22+3*p11*a12*a22+p12*a12*a21^3-p11*p22*a12^2*a21^2+p22*a12^2*a21^2+p12*p21*a12^2*a21^2-2*p12*a12*a21^2+3*p11*p22*a12^2*a21-3*p22*a12^2*a21-3*p12*p21*a12^2*a21-3*p12*a12*a21)/(3*p21*a12*a21*a22^2-3*p22*a21*a22^2+p21*a12*a22^2-p22*a22^2+3*p11*a12*a21^2*a22-3*p12*a21^2*a22+5*p21*a12^2*a21*a22-5*p22*a12*a21*a22+4*p11*a12*a21*a22-4*p12*a21*a22+p21*a12^2*a22-p22*a12*a22+p11*a12*a22-p12*a22+2*p11*a12^2*a21^2-2*p12*a12*a21^2+2*p21*a12^3*a21-2*p22*a12^2*a21+2*p11*a12^2*a21-2*p12*a12*a21)",lst{a12,a21,a22,p11,p12,p21,p22}); - ex ss4 = ex("(4*p21*a12*a22^2-4*p22*a22^2+4*a22^2-p21*a12^2*a21*a22+p22*a12*a21*a22+4*p11*a12*a21*a22-5*a12*a21*a22-4*p12*a21*a22+3*p21*a12^2*a22-3*p22*a12*a22+3*a12*a22-p11*a12^2*a21^2+a12^2*a21^2+p12*a12*a21^2+3*p11*a12^2*a21-3*a12^2*a21-3*p12*a12*a21)/(2*p21*a12*a22^2-2*p22*a22^2+p21*a12^2*a21*a22-p22*a12*a21*a22+2*p11*a12*a21*a22-2*p12*a21*a22+2*p21*a12^2*a22-2*p22*a12*a22+2*p11*a12*a22-2*p12*a22+p11*a12^2*a21^2-p12*a12*a21^2+p21*a12^3*a21-p22*a12^2*a21+p11*a12^2*a21-p12*a12*a21)",lst(p11,p12,p21,p22,a12,a21,a22)); + ex ss4 = ex("(4*p21*a12*a22^2-4*p22*a22^2+4*a22^2-p21*a12^2*a21*a22+p22*a12*a21*a22+4*p11*a12*a21*a22-5*a12*a21*a22-4*p12*a21*a22+3*p21*a12^2*a22-3*p22*a12*a22+3*a12*a22-p11*a12^2*a21^2+a12^2*a21^2+p12*a12*a21^2+3*p11*a12^2*a21-3*a12^2*a21-3*p12*a12*a21)/(2*p21*a12*a22^2-2*p22*a22^2+p21*a12^2*a21*a22-p22*a12*a21*a22+2*p11*a12*a21*a22-2*p12*a21*a22+2*p21*a12^2*a22-2*p22*a12*a22+2*p11*a12*a22-2*p12*a22+p11*a12^2*a21^2-p12*a12*a21^2+p21*a12^3*a21-p22*a12^2*a21+p11*a12^2*a21-p12*a12*a21)",lst{p11,p12,p21,p22,a12,a21,a22}); - ex res1 = ex("p11*p22*q1^2*q4^2-p12*p21*q1^2*q4^2-n22*p11*p22*q1*q4^2+2*n11*p11*p22*q1*q4^2-p11*p22*q1*q4^2+n22*p12*p21*q1*q4^2-2*n11*p12*p21*q1*q4^2+p12*p21*q1*q4^2+2*g^2*p11*p22*q4^2-2*n11*n22*p11*p22*q4^2+2*n22*p11*p22*q4^2+2*n11*p11*p22*q4^2-2*p11*p22*q4^2-2*g^2*p12*p21*q4^2+2*n11*n22*p12*p21*q4^2-2*n22*p12*p21*q4^2-2*n11*p12*p21*q4^2+2*p12*p21*q4^2-n11*p22*q1*q2*q3*q4+g*p21*q1*q2*q3*q4+g*p12*q1*q2*q3*q4-n22*p11*q1*q2*q3*q4-g^2*p22*q2*q3*q4+n11*n22*p22*q2*q3*q4-n11*p22*q2*q3*q4-2*g*p21*q2*q3*q4+g*p12*q2*q3*q4+2*g^2*p11*q2*q3*q4-2*n11*n22*p11*q2*q3*q4+2*n22*p11*q2*q3*q4-n11*p22*q1*q3*q4+p22*q1*q3*q4+g*p21*q1*q3*q4-2*g*p12*q1*q3*q4+2*n22*p11*q1*q3*q4-2*p11*q1*q3*q4-g^2*p22*q3*q4+n11*n22*p22*q3*q4-n22*p22*q3*q4-n11*p22*q3*q4+p22*q3*q4-4*g^2*p11*q3*q4+4*n11*n22*p11*q3*q4-4*n22*p11*q3*q4-4*n11*p11*q3*q4+4*p11*q3*q4+n22*p11*p22*q1*q2*q4-2*n11*p11*p22*q1*q2*q4+2*n11*p22*q1*q2*q4-n22*p12*p21*q1*q2*q4+2*n11*p12*p21*q1*q2*q4+g*p21*q1*q2*q4-2*g*p12*q1*q2*q4-n22*p11*q1*q2*q4-4*g^2*p11*p22*q2*q4+4*n11*n22*p11*p22*q2*q4-2*n22*p11*p22*q2*q4-2*n11*p11*p22*q2*q4+2*g^2*p22*q2*q4-2*n11*n22*p22*q2*q4+2*n11*p22*q2*q4+4*g^2*p12*p21*q2*q4-4*n11*n22*p12*p21*q2*q4+2*n22*p12*p21*q2*q4+2*n11*p12*p21*q2*q4-2*g*p21*q2*q4-2*g*p12*q2*q4+2*g^2*p11*q2*q4-2*n11*n22*p11*q2*q4+2*n22*p11*q2*q4-p11*p22*q1^2*q4-p22*q1^2*q4+p12*p21*q1^2*q4+2*p11*q1^2*q4-n22*p11*p22*q1*q4-4*n11*p11*p22*q1*q4+5*p11*p22*q1*q4+n22*p22*q1*q4-p22*q1*q4+n22*p12*p21*q1*q4+4*n11*p12*p21*q1*q4-5*p12*p21*q1*q4+g*p21*q1*q4+4*g*p12*q1*q4+4*n11*p11*q1*q4-4*p11*q1*q4-g^2*q2^2*q3^2+n11*n22*q2^2*q3^2+g^2*q2*q3^2-n11*n22*q2*q3^2-n22*q2*q3^2+2*n11*q2*q3^2+2*g^2*q3^2-2*n11*n22*q3^2+2*n22*q3^2+2*n11*q3^2-2*q3^2+g^2*p22*q2^2*q3-n11*n22*p22*q2^2*q3-2*g^2*p11*q2^2*q3+2*n11*n22*p11*q2^2*q3+g^2*q2^2*q3-n11*n22*q2^2*q3+2*n11*p22*q1*q2*q3-2*g*p21*q1*q2*q3+g*p12*q1*q2*q3-n22*p11*q1*q2*q3+n22*q1*q2*q3-2*n11*q1*q2*q3+g^2*p22*q2*q3-n11*n22*p22*q2*q3+n22*p22*q2*q3+4*g*p21*q2*q3+g*p12*q2*q3+4*g^2*p11*q2*q3-4*n11*n22*p11*q2*q3+4*n11*p11*q2*q3-5*g^2*q2*q3+5*n11*n22*q2*q3-n22*q2*q3-4*n11*q2*q3+2*n11*p22*q1*q3-2*p22*q1*q3-2*g*p21*q1*q3-2*g*p12*q1*q3+2*n22*p11*q1*q3-2*p11*q1*q3-2*n22*q1*q3-2*n11*q1*q3+4*q1*q3+2*g^2*p11*p22*q2^2-2*n11*n22*p11*p22*q2^2-2*g^2*p22*q2^2+2*n11*n22*p22*q2^2-2*g^2*p12*p21*q2^2+2*n11*n22*p12*p21*q2^2-2*g^2*p11*q2^2+2*n11*n22*p11*q2^2+2*g^2*q2^2-2*n11*n22*q2^2+n22*p11*p22*q1*q2+4*n11*p11*p22*q1*q2-n22*p22*q1*q2-4*n11*p22*q1*q2-n22*p12*p21*q1*q2-4*n11*p12*p21*q1*q2-n22*p11*q1*q2-4*n11*p11*q1*q2+n22*q1*q2+4*n11*q1*q2-2*p11*p22*q1^2+2*p22*q1^2+2*p12*p21*q1^2+2*p11*q1^2-2*q1^2",lst(p11,p12,p21,p22,n11,n22,g,q1,q2,q3,q4)); - ex result = res1.subs(lst(q1==ss1, q2==ss2, q3==ss3, q4==ss4)); + ex res1 = ex("p11*p22*q1^2*q4^2-p12*p21*q1^2*q4^2-n22*p11*p22*q1*q4^2+2*n11*p11*p22*q1*q4^2-p11*p22*q1*q4^2+n22*p12*p21*q1*q4^2-2*n11*p12*p21*q1*q4^2+p12*p21*q1*q4^2+2*g^2*p11*p22*q4^2-2*n11*n22*p11*p22*q4^2+2*n22*p11*p22*q4^2+2*n11*p11*p22*q4^2-2*p11*p22*q4^2-2*g^2*p12*p21*q4^2+2*n11*n22*p12*p21*q4^2-2*n22*p12*p21*q4^2-2*n11*p12*p21*q4^2+2*p12*p21*q4^2-n11*p22*q1*q2*q3*q4+g*p21*q1*q2*q3*q4+g*p12*q1*q2*q3*q4-n22*p11*q1*q2*q3*q4-g^2*p22*q2*q3*q4+n11*n22*p22*q2*q3*q4-n11*p22*q2*q3*q4-2*g*p21*q2*q3*q4+g*p12*q2*q3*q4+2*g^2*p11*q2*q3*q4-2*n11*n22*p11*q2*q3*q4+2*n22*p11*q2*q3*q4-n11*p22*q1*q3*q4+p22*q1*q3*q4+g*p21*q1*q3*q4-2*g*p12*q1*q3*q4+2*n22*p11*q1*q3*q4-2*p11*q1*q3*q4-g^2*p22*q3*q4+n11*n22*p22*q3*q4-n22*p22*q3*q4-n11*p22*q3*q4+p22*q3*q4-4*g^2*p11*q3*q4+4*n11*n22*p11*q3*q4-4*n22*p11*q3*q4-4*n11*p11*q3*q4+4*p11*q3*q4+n22*p11*p22*q1*q2*q4-2*n11*p11*p22*q1*q2*q4+2*n11*p22*q1*q2*q4-n22*p12*p21*q1*q2*q4+2*n11*p12*p21*q1*q2*q4+g*p21*q1*q2*q4-2*g*p12*q1*q2*q4-n22*p11*q1*q2*q4-4*g^2*p11*p22*q2*q4+4*n11*n22*p11*p22*q2*q4-2*n22*p11*p22*q2*q4-2*n11*p11*p22*q2*q4+2*g^2*p22*q2*q4-2*n11*n22*p22*q2*q4+2*n11*p22*q2*q4+4*g^2*p12*p21*q2*q4-4*n11*n22*p12*p21*q2*q4+2*n22*p12*p21*q2*q4+2*n11*p12*p21*q2*q4-2*g*p21*q2*q4-2*g*p12*q2*q4+2*g^2*p11*q2*q4-2*n11*n22*p11*q2*q4+2*n22*p11*q2*q4-p11*p22*q1^2*q4-p22*q1^2*q4+p12*p21*q1^2*q4+2*p11*q1^2*q4-n22*p11*p22*q1*q4-4*n11*p11*p22*q1*q4+5*p11*p22*q1*q4+n22*p22*q1*q4-p22*q1*q4+n22*p12*p21*q1*q4+4*n11*p12*p21*q1*q4-5*p12*p21*q1*q4+g*p21*q1*q4+4*g*p12*q1*q4+4*n11*p11*q1*q4-4*p11*q1*q4-g^2*q2^2*q3^2+n11*n22*q2^2*q3^2+g^2*q2*q3^2-n11*n22*q2*q3^2-n22*q2*q3^2+2*n11*q2*q3^2+2*g^2*q3^2-2*n11*n22*q3^2+2*n22*q3^2+2*n11*q3^2-2*q3^2+g^2*p22*q2^2*q3-n11*n22*p22*q2^2*q3-2*g^2*p11*q2^2*q3+2*n11*n22*p11*q2^2*q3+g^2*q2^2*q3-n11*n22*q2^2*q3+2*n11*p22*q1*q2*q3-2*g*p21*q1*q2*q3+g*p12*q1*q2*q3-n22*p11*q1*q2*q3+n22*q1*q2*q3-2*n11*q1*q2*q3+g^2*p22*q2*q3-n11*n22*p22*q2*q3+n22*p22*q2*q3+4*g*p21*q2*q3+g*p12*q2*q3+4*g^2*p11*q2*q3-4*n11*n22*p11*q2*q3+4*n11*p11*q2*q3-5*g^2*q2*q3+5*n11*n22*q2*q3-n22*q2*q3-4*n11*q2*q3+2*n11*p22*q1*q3-2*p22*q1*q3-2*g*p21*q1*q3-2*g*p12*q1*q3+2*n22*p11*q1*q3-2*p11*q1*q3-2*n22*q1*q3-2*n11*q1*q3+4*q1*q3+2*g^2*p11*p22*q2^2-2*n11*n22*p11*p22*q2^2-2*g^2*p22*q2^2+2*n11*n22*p22*q2^2-2*g^2*p12*p21*q2^2+2*n11*n22*p12*p21*q2^2-2*g^2*p11*q2^2+2*n11*n22*p11*q2^2+2*g^2*q2^2-2*n11*n22*q2^2+n22*p11*p22*q1*q2+4*n11*p11*p22*q1*q2-n22*p22*q1*q2-4*n11*p22*q1*q2-n22*p12*p21*q1*q2-4*n11*p12*p21*q1*q2-n22*p11*q1*q2-4*n11*p11*q1*q2+n22*q1*q2+4*n11*q1*q2-2*p11*p22*q1^2+2*p22*q1^2+2*p12*p21*q1^2+2*p11*q1^2-2*q1^2",lst{p11,p12,p21,p22,n11,n22,g,q1,q2,q3,q4}); + ex result = res1.subs(lst{q1==ss1, q2==ss2, q3==ss3, q4==ss4}); ex normalresult = normal(result); if (!normalresult.is_zero()) { clog << "Normalization should have returned 0." << endl; @@ -52,7 +58,7 @@ static unsigned test(void) return 0; } -unsigned time_lw_N(void) +unsigned time_lw_N() { unsigned result = 0; unsigned count = 0; @@ -60,7 +66,6 @@ unsigned time_lw_N(void) double time = .0; cout << "timing Lewis-Wester test N (poly at rational fcns)" << flush; - clog << "-------Lewis-Wester test N (poly at rational fcns):" << endl; if (do_test) { tag_heuer.start(); @@ -70,18 +75,19 @@ unsigned time_lw_N(void) ++count; } while ((time=tag_heuer.read())<0.1 && !result); cout << '.' << flush; - - if (!result) { - cout << " passed "; - clog << "(no output)" << endl; - } else { - cout << " failed "; - } - cout << int(1000*(time/count))*0.001 << 's' << endl; + cout << time/count << 's' << endl; } else { cout << " disabled" << endl; - clog << "(no output)" << endl; } return result; } + +extern void randomify_symbol_serials(); + +int main(int argc, char** argv) +{ + randomify_symbol_serials(); + cout << setprecision(2) << showpoint; + return time_lw_N(); +}