//SINGULAR MapleVRelase5 for UNIX/Linux

f:=x^10+x^9*y^2;
g:=y^8-x^2*y^7;

interface(prettyprint=0);
interface(echo=0);
writeto( singular_input );
lprint(`ideal I = `);
f, g ;
lprint(`;`);
writeto(terminal);

ring R=0,(x,y),dp;
< "singular_input";
short=0;         // output in Maple format
ideal J=std(I);
write(":w maple_input",J);


SINGULARlink:=proc(I,P,tord)
  local i,j,path,vars,F,p,ele;
  
  F:=map(expand,I);
  vars:=indets(F);
  if P>0 then p:=P else p:=0 fi;
  
  path:="Trans";
  if assigned(pathname) then path:=cat(pathname,path) fi;
  if system("mkdir ".path)<>0 then
    ERROR("Couldn't make the Transfer-directory")
  fi;

  writeto(cat(path,"/In"));
    
  lprint(`ring R =`);
  lprint(``.p.`,`);
  lprint(`(x(1..`.(nops(vars)).`)),`);
  lprint(`(`.tord.`);`);
    
  lprint(`ideal I =`);
  for i to nops(F) do
      if i>1 then lprint(`,`) fi;
      ele:=subs([seq(vars[j]=x(j), j=1..nops(vars))],F[i]);
      if type(ele,monomial) then lprint(ele)
      else # split into summands, otherwise line might get chopped!
          lprint(op(1,ele));
          for j from 2 to nops(ele) do
              lprint(`+`,op(j,ele))
          od
      fi
  od;
  lprint(`;`);
    
  lprint(`short=0;`);
  lprint(`ideal b = std(I);`);
  lprint(`write(\"`.path.`/Out\",\"[\");`);
  lprint(`write(\"`.path.`/Out\",b);`);
  lprint(`write(\"`.path.`/Out\",\"];\");`);
  lprint(`quit;`);
  writeto(terminal);
  
  system("Singular < ".path."/In > ".path."/temp");
  if %<>0 then
      system("'rm' -r ".path);
      ERROR("Something went wrong while executing Singular")
  fi;
  
  read(cat(path,"/Out"));
  F:=%;
  system("'rm' -r ".path);
  F:=subs([seq(x(i)=vars[i],i=1..nops(vars))],F);
  F:=map(expand,F);
  F
end:

f:=x^10+x^9*y^2;
g:=y^8-x^2*y^7;
J:=SINGULARlink([f,g],0,"dp"):

interface(prettyprint=0);
J;

proc maple_factorize(poly p)
{
  int saveshort=short;
  short=0;
  string in="maple-in."+string(system("pid"));
  string out="maple-out."+string(system("pid"));
  link l=in;
  write(l,"res:=factors("+string(p)+");");
  write(l,"interface(prettyprint=0);");
  write(l,"interface(echo=0);");
  write(l,"writeto(`"+out+"`);");
  write(l,"lprint(`ideal fac=`);");
  write(l,"lprint(op(1,res));");
  write(l,"for i to nops(op(2,res)) do");
  write(l,"  lprint(`,`);");
  write(l,"  lprint(op(1,op(i,op(2,res))));");
  write(l,"od;");
  write(l,"lprint(`;`);");
  write(l,"lprint(`intvec multies=`);");
  write(l,"lprint(`1`);");
  write(l,"for i to nops(op(2,res)) do");
  write(l,"  lprint(`,`);");
  write(l,"  lprint(op(2,op(i,op(2,res))));");
  write(l,"od;");
  write(l,"lprint(`;`);");
  write(l,"lprint(`list res=fac,multies;`);");
  write(l,"writeto(terminal);");
  write(l,"quit;");
  int dummy=system("sh","maple <"+in+" > dummy");
  if (dummy <> 0) { ERROR("something went wrong"); }
  string r=read(out);
  execute(r);
  return(res);
}


ring R = 0,(x,y),dp;
poly f = (x-y)^2*(x+y);
maple_factorize(f);