In[]:=
Needs["SubKernels`LocalKernels`"]Block[{$mathkernel=$mathkernel<>" -threadpriority=2"},LaunchKernels[]]
Out[]=
{KernelObject[1,local],KernelObject[2,local],KernelObject[3,local],KernelObject[4,local],KernelObject[5,local],KernelObject[6,local],KernelObject[7,local],KernelObject[8,local]}
In[]:=
Print["Start time is ",ds=DateString[],"."];prec=10000;(**Numberofrequireddecimals.*.*)ClearSystemCache[];T0=SessionTime[];expM[pre_]:=Module[{x11,z,t,a,d,s,k,bb,c,end,iprec,xvals,x,pc,cores=32(*=4*numberofphysicalcores*),tsize=32,chunksize,start=1,ll,ctab,pr=Floor[1.005pre]},chunksize=cores*tsize;n=Floor[1.32pr];end=Ceiling[n/chunksize];Print["Iterations required: ",n];Print["Will give ",end," time estimates, each more accurate than the previous."];Print["Will stop at ",end*chunksize," iterations to ensure precsion of around ",pr," decimal places."];d=ChebyshevT[n,3];{b,c,s}={SetPrecision[-1,1.1*n],-d,0};iprec=pr/64;Do[xvals=Flatten[ParallelTable[Table[ll=start+j*tsize+l;x=N[E^(Log[ll]/(ll)),iprec];pc=iprec;While[pc<pr,pc=Min[4pc,pr];x=SetPrecision[x,pc];xll=Power[x,ll];z=(ll-xll)/xll;t=2ll-1;t2=t^2;x*=(1+SetPrecision[4.5,pc](ll-1)/t2+(ll+1)z/(2llt)-SetPrecision[13.5,pc]ll(ll-1)/(3llt2+t^3z))];(**N[Exp[Log[ll]/ll],pr]**)x,{l,0,tsize-1}],{j,0,cores-1},Method"FinestGrained"]];ctab=ParallelTable[Table[c=b-c;ll=start+l-2;b*=2(ll+n)(ll-n)/((ll+1)(2ll+1));c,{l,chunksize}],Method"Automatic"];s+=ctab.(xvals-1);start+=chunksize;st=SessionTime[]-T0;kc=k*chunksize;ti=(st)/(kc+10^-4)*(n)/(3600)/(24);,{k,0,end-1}];N[-s/d,pr]];t2=Timing[MRB1=expM[prec];];Print["Finished on ",DateString[],". Proccessor and actual time were ",t2[[1]]," and ",SessionTime[]-T0," s. respectively"];Print["Enter MRB1 to print ",Floor[Precision[MRB1]]," digits. The error from a 6,500,000 or more digit calculation that used a different method is "];N[m3M-MRB1,20]
Start time is Sun 28 Jul 2024 18:42:44.
Iterations required: 13264
Will give 13 time estimates, each more accurate than the previous.
Will stop at 13312 iterations to ensure precsion of around 10049 decimal places.
Finished on Sun 28 Jul 2024 18:42:49. Proccessor and actual time were 1.3125 and 4.2188518 s. respectively
Enter MRB1 to print 10043 digits. The error from a 6,500,000 or more digit calculation that used a different method is
Out[]=
0.×
-10045
10
In[]:=
Print["Start time is ",ds=DateString[],"."];prec=20000;(**Numberofrequireddecimals.*.*)ClearSystemCache[];T0=SessionTime[];expM[pre_]:=Module[{x11,z,t,a,d,s,k,bb,c,end,iprec,xvals,x,pc,cores=32(*=4*numberofphysicalcores*),tsize=32,chunksize,start=1,ll,ctab,pr=Floor[1.005pre]},chunksize=cores*tsize;n=Floor[1.32pr];end=Ceiling[n/chunksize];Print["Iterations required: ",n];Print["Will give ",end," time estimates, each more accurate than the previous."];Print["Will stop at ",end*chunksize," iterations to ensure precsion of around ",pr," decimal places."];d=ChebyshevT[n,3];{b,c,s}={SetPrecision[-1,1.1*n],-d,0};iprec=pr/64;Do[xvals=Flatten[ParallelTable[Table[ll=start+j*tsize+l;x=N[E^(Log[ll]/(ll)),iprec];pc=iprec;While[pc<pr,pc=Min[4pc,pr];x=SetPrecision[x,pc];xll=Power[x,ll];z=(ll-xll)/xll;t=2ll-1;t2=t^2;x*=(1+SetPrecision[4.5,pc](ll-1)/t2+(ll+1)z/(2llt)-SetPrecision[13.5,pc]ll(ll-1)/(3llt2+t^3z))];(**N[Exp[Log[ll]/ll],pr]**)x,{l,0,tsize-1}],{j,0,cores-1},Method"FinestGrained"]];ctab=ParallelTable[Table[c=b-c;ll=start+l-2;b*=2(ll+n)(ll-n)/((ll+1)(2ll+1));c,{l,chunksize}],Method"Automatic"];s+=ctab.(xvals-1);start+=chunksize;st=SessionTime[]-T0;kc=k*chunksize;ti=(st)/(kc+10^-4)*(n)/(3600)/(24);,{k,0,end-1}];N[-s/d,pr]];t2=Timing[MRB1=expM[prec];];Print["Finished on ",DateString[],". Proccessor and actual time were ",t2[[1]]," and ",SessionTime[]-T0," s. respectively"];Print["Enter MRB1 to print ",Floor[Precision[MRB1]]," digits. The error from a 6,500,000 or more digit calculation that used a different method is "];N[m3M-MRB1,20]
Start time is Fri 2 Aug 2024 11:28:50.
Iterations required: 26530
Will give 26 time estimates, each more accurate than the previous.
Will stop at 26624 iterations to ensure precsion of around 20099 decimal places.
Finished on Fri 2 Aug 2024 11:29:07. Proccessor and actual time were 4.29688 and 16.0950277 s. respectively
Enter MRB1 to print 20093 digits. The error from a 6,500,000 or more digit calculation that used a different method is
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0.×
-20095
10
In[]:=
Print["Start time is ",ds=DateString[],"."];prec=30000;(**Numberofrequireddecimals.*.*)ClearSystemCache[];T0=SessionTime[];expM[pre_]:=Module[{x11,z,t,a,d,s,k,bb,c,end,iprec,xvals,x,pc,cores=64(*=4*numberofphysicalcores*),tsize=64,chunksize,start=1,ll,ctab,pr=Floor[1.005pre]},chunksize=cores*tsize;n=Floor[1.32pr];end=Ceiling[n/chunksize];Print["Iterations required: ",n];Print["Will give ",end," time estimates, each more accurate than the previous."];Print["Will stop at ",end*chunksize," iterations to ensure precsion of around ",pr," decimal places."];d=ChebyshevT[n,3];{b,c,s}={SetPrecision[-1,1.1*n],-d,0};iprec=pr/64;Do[xvals=Flatten[ParallelTable[Table[ll=start+j*tsize+l;x=N[E^(Log[ll]/(ll)),iprec];pc=iprec;While[pc<pr,pc=Min[4pc,pr];x=SetPrecision[x,pc];xll=Power[x,ll];z=(ll-xll)/xll;t=2ll-1;t2=t^2;x*=(1+SetPrecision[4.5,pc](ll-1)/t2+(ll+1)z/(2llt)-SetPrecision[13.5,pc]ll(ll-1)/(3llt2+t^3z))];(**N[Exp[Log[ll]/ll],pr]**)x,{l,0,tsize-1}],{j,0,cores-1},Method"FinestGrained"]];ctab=ParallelTable[Table[c=b-c;ll=start+l-2;b*=2(ll+n)(ll-n)/((ll+1)(2ll+1));c,{l,chunksize}],Method"Automatic"];s+=ctab.(xvals-1);start+=chunksize;st=SessionTime[]-T0;kc=k*chunksize;ti=(st)/(kc+10^-4)*(n)/(3600)/(24);(*If[kc>1,Print["As of ",DateString[]," there were ",kc," iterations done in ",N[st,5]," seconds. That is ",N[kc/st,5]," iterations/s. ",N[kc/(end*chunksize)*100,7],"% complete."," It should take ",N[ti,6]," days or ",N[ti*24*3600,4],"s, and finish ",DatePlus[ds,ti],"."]];Print[];*),{k,0,end-1}];N[-s/d,pr]];t2=Timing[MRB1=expM[prec];];Print["Finished on ",DateString[],". Proccessor and actual time were ",t2[[1]]," and ",SessionTime[]-T0," s. respectively"];Print["Enter MRB1 to print ",Floor[Precision[MRB1]]," digits. The error from a 6,500,000 or more digit calculation that used a different method is "];N[m3M-MRB1,20]