java - How to navigate a Barbie in a grid system? -

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i'm trying solve interesting problem navigating barbie doll inside grid system. initially, barbie in [0,0] position, means in intersection of x , y axis. barbie has 3 operations on movement 'f' forward, 'r' right turn (90 degree) , 'l' left turn (90 degree). say, if pass direction string of "ff", position should [0,2]. solve problem , current state of code following, 

public static void barbieposition(string str ){      if( str == null || str.length() == 0)         return;      int [] initial = {0,0};      boolean xpos = false, xneg = false, ypos = true, yneg = false;       char[] ch = str.tochararray();      for( char c: ch){          // initial postion of robot towards positive y axis           if(c == 'l'){              if(xpos){                  xpos = false;                 ypos = true;             }              else if ( xneg){                   xneg = false;                 yneg = true;             }              else if(ypos){                  xneg = true;                 ypos = false;               }              else if (yneg){                  yneg = false;                 xpos = true;             }         }          else if ( c == 'r'){              if(xpos){                  xpos = false;                 yneg = true;             }              else if ( xneg){                  ypos = true;                 xneg = false;             }              else if(ypos){                  ypos = false;                 xpos = true;             }              else if (yneg){                  yneg = false;                 xneg = true;             }          }          else if (c == 'f'){              if(xneg){                  initial[0]  -= 1;             }              else if (xpos){                  initial[0] += 1;             }              else if (yneg){                  initial[1] -=1;             }              else if( ypos){                  initial[1] += 1;             }          }     }      system.out.println(arrays.tostring(initial)); }

the thing don't solution it's feels ugly. there better way design algorithm ?

what constitutes 'forward' in application function of previous move. forward means repeat last move.

if forward first move need pick convention says "barbie moving right".


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