COPTION DOUBLE,DUMP=1
      DIFF ( Y , X , 1 ) = SIN ( X ) * COS ( X ) 
   $
   $
      MPRINT = 2
      NSTEPS = 1000
      START = 0.1d0
      END = 1.0d0
      DLTXPT = 0.1d0
      Y(1) = (2.0    - (COS(START) ** 2)/2.0d0)
      WRITE(LIST,120) START,END,DLTXPT,Y(1)
  120 FORMAT(8F16.10)
   $
   $
C DIGITS := 32;
C MAX_TERMS := 30;
C !
C X_START := 0.1;
C X_END := 1.0 ;
C DIFF(Y,0,EXACT_SOLN_Y(X_START));
C GLOB_LOOK_POLES := TRUE;
C GLOB_MIN_H := 0.00000000001;
C # GLOB_UPPER_RATIO_LIMIT := 1.000001;
C # GLOB_LOWER_RATIO_LIMIT := 0.999999;
C #
C # NOT GIVEN = 0
C # REAL = 1
C # COMPLEX = 2 
C # NO POLE = 3
C # IMPOSSIBLE EQ = 4
C #
C GLOB_TYPE_GIVEN_POLE := 3;
C 
C !
C EXACT_SOLN_Y := PROC(X)
C RETURN(2.0    - EXPT(COS(X),2)/2.0);
C END;
C