Expression 3: "T" left parenthesis, "x" , "y" , right parenthesis equals arc tangent left parenthesis, "y" , "x" , right parenthesisTx,y=arctany,x
3
Expression 4: "d" left parenthesis, "x" , "y" , right parenthesis equals StartRoot, "x" squared plus "y" squared , EndRootdx,y=x2+y2
4
Expression 5: left parenthesis, StartFraction, 2 pi Over 6 , EndFraction "f" left parenthesis, "T" left parenthesis, "y" , "x" , right parenthesis times StartFraction, 6round left parenthesis, "d" left parenthesis, "x" , "y" , right parenthesis , right parenthesis Over 2 pi , EndFraction , right parenthesis , right parenthesis squared plus "f" left parenthesis, "d" left parenthesis, "x" , "y" , right parenthesis , right parenthesis squared less than or equal to .5 left brace, "d" left parenthesis, "x" , "y" , right parenthesis plus .5 less than "M" , right brace2π6fTy,x·6rounddx,y2π2+fdx,y2≤.5dx,y+.5<M
5
Expression 6: "f" left parenthesis, "x" , right parenthesis equals mod left parenthesis, "x" plus .5 , 1 , right parenthesis times 2 minus 1fx=modx+.5,1·2−1